/* Generated by Cython 0.29.28 */

/* BEGIN: Cython Metadata
{
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            "/tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/core/include/numpy/arrayscalars.h",
            "/tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/core/include/numpy/ndarrayobject.h",
            "/tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/core/include/numpy/ndarraytypes.h",
            "/tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/core/include/numpy/ufuncobject.h",
            "Source/Atmosphere.cpp",
            "Source/Background.cpp",
            "Source/Background.hpp",
            "Source/Bezier.hpp",
            "Source/CmoArray.hpp",
            "Source/Constants.hpp",
            "Source/EscapeProbability.cpp",
            "Source/Faddeeva.cc",
            "Source/Faddeeva.hh",
            "Source/FastBackground.cpp",
            "Source/FastBackground.hpp",
            "Source/FormalInterface.cpp",
            "Source/FormalScalar.cpp",
            "Source/FormalScalar2d.cpp",
            "Source/FormalStokes.cpp",
            "Source/Lightweaver.hpp",
            "Source/LuSolve.cpp",
            "Source/LuSolve.hpp",
            "Source/LwAtmosphere.hpp",
            "Source/LwAtom.hpp",
            "Source/LwContext.hpp",
            "Source/LwExtraParams.hpp",
            "Source/LwFormalInterface.hpp",
            "Source/LwFormalInterfacePosix.hpp",
            "Source/LwFormalInterfaceWin.hpp",
            "Source/LwInternal.hpp",
            "Source/LwIterationResult.hpp",
            "Source/LwMisc.hpp",
            "Source/LwTransition.hpp",
            "Source/Ng.hpp",
            "Source/Prd.cpp",
            "Source/Simd.hpp",
            "Source/SimdFullIterationTemplates.hpp",
            "Source/TaskScheduler.h",
            "Source/TaskStorage.cpp",
            "Source/TaskStorage.hpp",
            "Source/UpdatePopulations.cpp",
            "Source/Utils.hpp"
        ],
        "extra_compile_args": [
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            "-Wno-sign-compare",
            "-march=native",
            "-mtune=native",
            "-DLW_CORE_LIB"
        ],
        "extra_link_args": [
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            "-Wl,-rpath,$ORIGIN/..",
            "-Wl,-zlazy"
        ],
        "include_dirs": [
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            "/tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/core/include"
        ],
        "language": "c++",
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            "enkiTS"
        ],
        "library_dirs": [
            "LwBuild/lightweaver"
        ],
        "name": "lightweaver.LwCompiled",
        "sources": [
            "Source/LwMiddleLayer.pyx",
            "Source/LightweaverAmalgamated.cpp"
        ]
    },
    "module_name": "lightweaver.LwCompiled"
}
END: Cython Metadata */

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   #include <stdint.h>
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#ifndef CYTHON_INLINE
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template<typename T>
void __Pyx_call_destructor(T& x) {
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template<typename T>
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#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#if PY_MAJOR_VERSION < 3
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        if (PyDict_SetItemString(kwds, "co_varnames", v) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_freevars", fv) != 0) goto end;
        if (PyDict_SetItemString(kwds, "co_cellvars", cell) != 0) goto end;
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        if (!(call_result = PyObject_Call(replace, empty, kwds))) goto cleanup_code_too;
        Py_XDECREF((PyObject*)co);
        co = (PyCodeObject*)call_result;
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        if (0) {
            cleanup_code_too:
            Py_XDECREF((PyObject*)co);
            co = NULL;
        }
        end:
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        Py_XDECREF(nlocals);
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    }
#else
  #define __Pyx_PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
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#ifndef Py_TPFLAGS_HAVE_INDEX
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#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
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#ifndef METH_STACKLESS
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#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
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     #define METH_FASTCALL 0x80
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  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
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#if CYTHON_FAST_PYCCALL
#define __Pyx_PyFastCFunction_Check(func)\
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#else
#define __Pyx_PyFastCFunction_Check(func) 0
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
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#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030400A1
  #define PyMem_RawMalloc(n)           PyMem_Malloc(n)
  #define PyMem_RawRealloc(p, n)       PyMem_Realloc(p, n)
  #define PyMem_RawFree(p)             PyMem_Free(p)
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#if CYTHON_COMPILING_IN_PYSTON
  #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
#else
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
#endif
#if !CYTHON_FAST_THREAD_STATE || PY_VERSION_HEX < 0x02070000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#elif PY_VERSION_HEX >= 0x03060000
  #define __Pyx_PyThreadState_Current _PyThreadState_UncheckedGet()
#elif PY_VERSION_HEX >= 0x03000000
  #define __Pyx_PyThreadState_Current PyThreadState_GET()
#else
  #define __Pyx_PyThreadState_Current _PyThreadState_Current
#endif
#if PY_VERSION_HEX < 0x030700A2 && !defined(PyThread_tss_create) && !defined(Py_tss_NEEDS_INIT)
#include "pythread.h"
#define Py_tss_NEEDS_INIT 0
typedef int Py_tss_t;
static CYTHON_INLINE int PyThread_tss_create(Py_tss_t *key) {
  *key = PyThread_create_key();
  return 0;
}
static CYTHON_INLINE Py_tss_t * PyThread_tss_alloc(void) {
  Py_tss_t *key = (Py_tss_t *)PyObject_Malloc(sizeof(Py_tss_t));
  *key = Py_tss_NEEDS_INIT;
  return key;
}
static CYTHON_INLINE void PyThread_tss_free(Py_tss_t *key) {
  PyObject_Free(key);
}
static CYTHON_INLINE int PyThread_tss_is_created(Py_tss_t *key) {
  return *key != Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE void PyThread_tss_delete(Py_tss_t *key) {
  PyThread_delete_key(*key);
  *key = Py_tss_NEEDS_INIT;
}
static CYTHON_INLINE int PyThread_tss_set(Py_tss_t *key, void *value) {
  return PyThread_set_key_value(*key, value);
}
static CYTHON_INLINE void * PyThread_tss_get(Py_tss_t *key) {
  return PyThread_get_key_value(*key);
}
#endif
#if CYTHON_COMPILING_IN_CPYTHON || defined(_PyDict_NewPresized)
#define __Pyx_PyDict_NewPresized(n)  ((n <= 8) ? PyDict_New() : _PyDict_NewPresized(n))
#else
#define __Pyx_PyDict_NewPresized(n)  PyDict_New()
#endif
#if PY_MAJOR_VERSION >= 3 || CYTHON_FUTURE_DIVISION
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
#else
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceDivide(x,y)
#endif
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1 && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStr(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
#else
#define __Pyx_PyDict_GetItemStr(dict, name)  PyDict_GetItem(dict, name)
#endif
#if PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #if defined(PyUnicode_IS_READY)
  #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                              0 : _PyUnicode_Ready((PyObject *)(op)))
  #else
  #define __Pyx_PyUnicode_READY(op)       (0)
  #endif
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_READ_CHAR(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   PyUnicode_MAX_CHAR_VALUE(u)
  #define __Pyx_PyUnicode_KIND(u)         PyUnicode_KIND(u)
  #define __Pyx_PyUnicode_DATA(u)         PyUnicode_DATA(u)
  #define __Pyx_PyUnicode_READ(k, d, i)   PyUnicode_READ(k, d, i)
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  PyUnicode_WRITE(k, d, i, ch)
  #if defined(PyUnicode_IS_READY) && defined(PyUnicode_GET_SIZE)
  #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x03090000
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : ((PyCompactUnicodeObject *)(u))->wstr_length))
  #else
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != (likely(PyUnicode_IS_READY(u)) ? PyUnicode_GET_LENGTH(u) : PyUnicode_GET_SIZE(u)))
  #endif
  #else
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #endif
#else
  #define CYTHON_PEP393_ENABLED 0
  #define PyUnicode_1BYTE_KIND  1
  #define PyUnicode_2BYTE_KIND  2
  #define PyUnicode_4BYTE_KIND  4
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_SIZE(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) ((Py_UCS4)(PyUnicode_AS_UNICODE(u)[i]))
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((sizeof(Py_UNICODE) == 2) ? 65535 : 1114111)
  #define __Pyx_PyUnicode_KIND(u)         (sizeof(Py_UNICODE))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)PyUnicode_AS_UNICODE(u))
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)(k), (Py_UCS4)(((Py_UNICODE*)d)[i]))
  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_SIZE(u))
#endif
#if CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  PyNumber_Add(a, b)
#else
  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
  #define __Pyx_PyUnicode_ConcatSafe(a, b)  ((unlikely((a) == Py_None) || unlikely((b) == Py_None)) ?\
      PyNumber_Add(a, b) : __Pyx_PyUnicode_Concat(a, b))
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyUnicode_Contains)
  #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyByteArray_Check)
  #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
  #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
#endif
#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None || (PyString_Check(b) && !PyString_CheckExact(b)))) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None || (PyUnicode_Check(b) && !PyUnicode_CheckExact(b)))) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
#ifndef PyObject_Unicode
  #define PyObject_Unicode             PyObject_Str
#endif
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
#endif
#if PY_VERSION_HEX >= 0x030900A4
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_SET_REFCNT(obj, refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SET_SIZE(obj, size)
#else
  #define __Pyx_SET_REFCNT(obj, refcnt) Py_REFCNT(obj) = (refcnt)
  #define __Pyx_SET_SIZE(obj, size) Py_SIZE(obj) = (size)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsHash_t
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   __Pyx_PyIndex_AsSsize_t
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? ((void)(klass), PyMethod_New(func, self)) : __Pyx_NewRef(func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif

#if defined(WIN32) || defined(MS_WINDOWS)
  #define _USE_MATH_DEFINES
#endif
#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
#else
static CYTHON_INLINE float __PYX_NAN() {
  float value;
  memset(&value, 0xFF, sizeof(value));
  return value;
}
#endif
#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
#else
#define __Pyx_truncl truncl
#endif

#define __PYX_MARK_ERR_POS(f_index, lineno) \
    { __pyx_filename = __pyx_f[f_index]; (void)__pyx_filename; __pyx_lineno = lineno; (void)__pyx_lineno; __pyx_clineno = __LINE__; (void)__pyx_clineno; }
#define __PYX_ERR(f_index, lineno, Ln_error) \
    { __PYX_MARK_ERR_POS(f_index, lineno) goto Ln_error; }

#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#define __PYX_HAVE__lightweaver__LwCompiled
#define __PYX_HAVE_API__lightweaver__LwCompiled
/* Early includes */
#include <string.h>
#include <stdio.h>
#include "numpy/arrayobject.h"
#include "numpy/ndarrayobject.h"
#include "numpy/ndarraytypes.h"
#include "numpy/arrayscalars.h"
#include "numpy/ufuncobject.h"

    /* NumPy API declarations from "numpy/__init__.pxd" */
    
#include "CmoArray.hpp"
#include "ios"
#include "new"
#include "stdexcept"
#include "typeinfo"
#include <vector>
#include <string>
#include <math.h>
#include <stdint.h>
#include "LwFormalInterface.hpp"
#include "LwIterationResult.hpp"
#include "LwExtraParams.hpp"
#include "Lightweaver.hpp"
#include "Background.hpp"
#include "FastBackground.hpp"
#include "Ng.hpp"
#include "pythread.h"
#include <stdlib.h>
#include "pystate.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
#endif

typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
                const char is_unicode; const char is_str; const char intern; } __Pyx_StringTabEntry;

#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_UTF8 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT (PY_MAJOR_VERSION >= 3 && __PYX_DEFAULT_STRING_ENCODING_IS_UTF8)
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
static CYTHON_INLINE int __Pyx_is_valid_index(Py_ssize_t i, Py_ssize_t limit) {
    return (size_t) i < (size_t) limit;
}
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER)
    #define __Pyx_sst_abs(value) ((Py_ssize_t)_abs64(value))
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyBytes_AsWritableString(s)     ((char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableSString(s)    ((signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsWritableUString(s)    ((unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsString(s)     ((const char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsSString(s)    ((const signed char*) PyBytes_AS_STRING(s))
#define __Pyx_PyBytes_AsUString(s)    ((const unsigned char*) PyBytes_AS_STRING(s))
#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u) {
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b);
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
#define __Pyx_PySequence_Tuple(obj)\
    (likely(PyTuple_CheckExact(obj)) ? __Pyx_NewRef(obj) : PySequence_Tuple(obj))
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject*);
#if CYTHON_ASSUME_SAFE_MACROS
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c) + 1);
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


/* Test for GCC > 2.95 */
#if defined(__GNUC__)     && (__GNUC__ > 2 || (__GNUC__ == 2 && (__GNUC_MINOR__ > 95)))
  #define likely(x)   __builtin_expect(!!(x), 1)
  #define unlikely(x) __builtin_expect(!!(x), 0)
#else /* !__GNUC__ or GCC < 2.95 */
  #define likely(x)   (x)
  #define unlikely(x) (x)
#endif /* __GNUC__ */
static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }

static PyObject *__pyx_m = NULL;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_cython_runtime = NULL;
static PyObject *__pyx_empty_tuple;
static PyObject *__pyx_empty_bytes;
static PyObject *__pyx_empty_unicode;
static int __pyx_lineno;
static int __pyx_clineno = 0;
static const char * __pyx_cfilenm= __FILE__;
static const char *__pyx_filename;

/* Header.proto */
#if !defined(CYTHON_CCOMPLEX)
  #if defined(__cplusplus)
    #define CYTHON_CCOMPLEX 1
  #elif defined(_Complex_I)
    #define CYTHON_CCOMPLEX 1
  #else
    #define CYTHON_CCOMPLEX 0
  #endif
#endif
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #include <complex>
  #else
    #include <complex.h>
  #endif
#endif
#if CYTHON_CCOMPLEX && !defined(__cplusplus) && defined(__sun__) && defined(__GNUC__)
  #undef _Complex_I
  #define _Complex_I 1.0fj
#endif


static const char *__pyx_f[] = {
  "Source/LwMiddleLayer.pyx",
  "Source/CmoArrayHelper.pyx",
  "stringsource",
  "__init__.pxd",
  "type.pxd",
};
/* MemviewSliceStruct.proto */
struct __pyx_memoryview_obj;
typedef struct {
  struct __pyx_memoryview_obj *memview;
  char *data;
  Py_ssize_t shape[8];
  Py_ssize_t strides[8];
  Py_ssize_t suboffsets[8];
} __Pyx_memviewslice;
#define __Pyx_MemoryView_Len(m)  (m.shape[0])

/* Atomics.proto */
#include <pythread.h>
#ifndef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 1
#endif
#define __pyx_atomic_int_type int
#if CYTHON_ATOMICS && __GNUC__ >= 4 && (__GNUC_MINOR__ > 1 ||\
                    (__GNUC_MINOR__ == 1 && __GNUC_PATCHLEVEL >= 2)) &&\
                    !defined(__i386__)
    #define __pyx_atomic_incr_aligned(value, lock) __sync_fetch_and_add(value, 1)
    #define __pyx_atomic_decr_aligned(value, lock) __sync_fetch_and_sub(value, 1)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using GNU atomics"
    #endif
#elif CYTHON_ATOMICS && defined(_MSC_VER) && 0
    #include <Windows.h>
    #undef __pyx_atomic_int_type
    #define __pyx_atomic_int_type LONG
    #define __pyx_atomic_incr_aligned(value, lock) InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #pragma message ("Using MSVC atomics")
    #endif
#elif CYTHON_ATOMICS && (defined(__ICC) || defined(__INTEL_COMPILER)) && 0
    #define __pyx_atomic_incr_aligned(value, lock) _InterlockedIncrement(value)
    #define __pyx_atomic_decr_aligned(value, lock) _InterlockedDecrement(value)
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Using Intel atomics"
    #endif
#else
    #undef CYTHON_ATOMICS
    #define CYTHON_ATOMICS 0
    #ifdef __PYX_DEBUG_ATOMICS
        #warning "Not using atomics"
    #endif
#endif
typedef volatile __pyx_atomic_int_type __pyx_atomic_int;
#if CYTHON_ATOMICS
    #define __pyx_add_acquisition_count(memview)\
             __pyx_atomic_incr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_atomic_decr_aligned(__pyx_get_slice_count_pointer(memview), memview->lock)
#else
    #define __pyx_add_acquisition_count(memview)\
            __pyx_add_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
    #define __pyx_sub_acquisition_count(memview)\
            __pyx_sub_acquisition_count_locked(__pyx_get_slice_count_pointer(memview), memview->lock)
#endif

/* BufferFormatStructs.proto */
#define IS_UNSIGNED(type) (((type) -1) > 0)
struct __Pyx_StructField_;
#define __PYX_BUF_FLAGS_PACKED_STRUCT (1 << 0)
typedef struct {
  const char* name;
  struct __Pyx_StructField_* fields;
  size_t size;
  size_t arraysize[8];
  int ndim;
  char typegroup;
  char is_unsigned;
  int flags;
} __Pyx_TypeInfo;
typedef struct __Pyx_StructField_ {
  __Pyx_TypeInfo* type;
  const char* name;
  size_t offset;
} __Pyx_StructField;
typedef struct {
  __Pyx_StructField* field;
  size_t parent_offset;
} __Pyx_BufFmt_StackElem;
typedef struct {
  __Pyx_StructField root;
  __Pyx_BufFmt_StackElem* head;
  size_t fmt_offset;
  size_t new_count, enc_count;
  size_t struct_alignment;
  int is_complex;
  char enc_type;
  char new_packmode;
  char enc_packmode;
  char is_valid_array;
} __Pyx_BufFmt_Context;

/* ForceInitThreads.proto */
#ifndef __PYX_FORCE_INIT_THREADS
  #define __PYX_FORCE_INIT_THREADS 0
#endif

/* NoFastGil.proto */
#define __Pyx_PyGILState_Ensure PyGILState_Ensure
#define __Pyx_PyGILState_Release PyGILState_Release
#define __Pyx_FastGIL_Remember()
#define __Pyx_FastGIL_Forget()
#define __Pyx_FastGilFuncInit()


/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":690
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":691
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":692
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":693
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":697
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":698
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":699
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":700
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":704
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":705
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":714
 * # The int types are mapped a bit surprising --
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
 */
typedef npy_long __pyx_t_5numpy_int_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":715
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":716
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":718
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":719
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":720
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":722
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":723
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":725
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
 */
typedef npy_double __pyx_t_5numpy_float_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":726
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":727
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;

/* "CmoArray.pxd":225
 * ctypedef Array4Own[double] F64Arr4D
 * ctypedef Array5Own[double] F64Arr5D
 * ctypedef double f64             # <<<<<<<<<<<<<<
 */
typedef double __pyx_t_8CmoArray_f64;

/* "Source/LwMiddleLayer.pyx":29
 * np.import_array()
 * 
 * ctypedef np.int8_t i8             # <<<<<<<<<<<<<<
 * ctypedef int64_t i64
 * ctypedef Array1NonOwn[np.int32_t] I32View
 */
typedef __pyx_t_5numpy_int8_t __pyx_t_11lightweaver_10LwCompiled_i8;

/* "Source/LwMiddleLayer.pyx":30
 * 
 * ctypedef np.int8_t i8
 * ctypedef int64_t i64             # <<<<<<<<<<<<<<
 * ctypedef Array1NonOwn[np.int32_t] I32View
 * ctypedef Array1NonOwn[bool_t] BoolView
 */
typedef int64_t __pyx_t_11lightweaver_10LwCompiled_i64;
/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
  #endif
#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
#endif
static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< double > __pyx_t_double_complex;
  #else
    typedef double _Complex __pyx_t_double_complex;
  #endif
#else
    typedef struct { double real, imag; } __pyx_t_double_complex;
#endif
static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);


/*--- Type declarations ---*/
struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData;
struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere;
struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider;
struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground;
struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground;
struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground;
struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer;
struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition;
struct __pyx_obj_11lightweaver_10LwCompiled_LwZeemanComponents;
struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom;
struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum;
struct __pyx_obj_11lightweaver_10LwCompiled_LwContext;
struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager;
struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager;
struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager;
struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi;
struct __pyx_array_obj;
struct __pyx_MemviewEnum_obj;
struct __pyx_memoryview_obj;
struct __pyx_memoryviewslice_obj;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":729
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":730
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":731
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "../../../../../tmp/pep517-build-env-wgjr0dmt/lib/python3.8/site-packages/numpy/__init__.pxd":733
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;

/* "CmoArray.pxd":213
 *         Array4NonOwn[T] reshape(int, int, int, int)
 * 
 * ctypedef Array1NonOwn[double] F64View             # <<<<<<<<<<<<<<
 * ctypedef Array1NonOwn[double] F64View1D
 * ctypedef Array2NonOwn[double] F64View2D
 */
typedef Jasnah::Array1NonOwn<double>  __pyx_t_8CmoArray_F64View;

/* "CmoArray.pxd":214
 * 
 * ctypedef Array1NonOwn[double] F64View
 * ctypedef Array1NonOwn[double] F64View1D             # <<<<<<<<<<<<<<
 * ctypedef Array2NonOwn[double] F64View2D
 * ctypedef Array3NonOwn[double] F64View3D
 */
typedef Jasnah::Array1NonOwn<double>  __pyx_t_8CmoArray_F64View1D;

/* "CmoArray.pxd":215
 * ctypedef Array1NonOwn[double] F64View
 * ctypedef Array1NonOwn[double] F64View1D
 * ctypedef Array2NonOwn[double] F64View2D             # <<<<<<<<<<<<<<
 * ctypedef Array3NonOwn[double] F64View3D
 * ctypedef Array4NonOwn[double] F64View4D
 */
typedef Jasnah::Array2NonOwn<double>  __pyx_t_8CmoArray_F64View2D;

/* "CmoArray.pxd":216
 * ctypedef Array1NonOwn[double] F64View1D
 * ctypedef Array2NonOwn[double] F64View2D
 * ctypedef Array3NonOwn[double] F64View3D             # <<<<<<<<<<<<<<
 * ctypedef Array4NonOwn[double] F64View4D
 * ctypedef Array5NonOwn[double] F64View5D
 */
typedef Jasnah::Array3NonOwn<double>  __pyx_t_8CmoArray_F64View3D;

/* "CmoArray.pxd":217
 * ctypedef Array2NonOwn[double] F64View2D
 * ctypedef Array3NonOwn[double] F64View3D
 * ctypedef Array4NonOwn[double] F64View4D             # <<<<<<<<<<<<<<
 * ctypedef Array5NonOwn[double] F64View5D
 * ctypedef Array1Own[double] F64Arr
 */
typedef Jasnah::Array4NonOwn<double>  __pyx_t_8CmoArray_F64View4D;

/* "CmoArray.pxd":218
 * ctypedef Array3NonOwn[double] F64View3D
 * ctypedef Array4NonOwn[double] F64View4D
 * ctypedef Array5NonOwn[double] F64View5D             # <<<<<<<<<<<<<<
 * ctypedef Array1Own[double] F64Arr
 * ctypedef Array1Own[double] F64Arr1D
 */
typedef Jasnah::Array5NonOwn<double>  __pyx_t_8CmoArray_F64View5D;

/* "CmoArray.pxd":219
 * ctypedef Array4NonOwn[double] F64View4D
 * ctypedef Array5NonOwn[double] F64View5D
 * ctypedef Array1Own[double] F64Arr             # <<<<<<<<<<<<<<
 * ctypedef Array1Own[double] F64Arr1D
 * ctypedef Array2Own[double] F64Arr2D
 */
typedef Jasnah::Array1Own<double>  __pyx_t_8CmoArray_F64Arr;

/* "CmoArray.pxd":220
 * ctypedef Array5NonOwn[double] F64View5D
 * ctypedef Array1Own[double] F64Arr
 * ctypedef Array1Own[double] F64Arr1D             # <<<<<<<<<<<<<<
 * ctypedef Array2Own[double] F64Arr2D
 * ctypedef Array3Own[double] F64Arr3D
 */
typedef Jasnah::Array1Own<double>  __pyx_t_8CmoArray_F64Arr1D;

/* "CmoArray.pxd":221
 * ctypedef Array1Own[double] F64Arr
 * ctypedef Array1Own[double] F64Arr1D
 * ctypedef Array2Own[double] F64Arr2D             # <<<<<<<<<<<<<<
 * ctypedef Array3Own[double] F64Arr3D
 * ctypedef Array4Own[double] F64Arr4D
 */
typedef Jasnah::Array2Own<double>  __pyx_t_8CmoArray_F64Arr2D;

/* "CmoArray.pxd":222
 * ctypedef Array1Own[double] F64Arr1D
 * ctypedef Array2Own[double] F64Arr2D
 * ctypedef Array3Own[double] F64Arr3D             # <<<<<<<<<<<<<<
 * ctypedef Array4Own[double] F64Arr4D
 * ctypedef Array5Own[double] F64Arr5D
 */
typedef Jasnah::Array3Own<double>  __pyx_t_8CmoArray_F64Arr3D;

/* "CmoArray.pxd":223
 * ctypedef Array2Own[double] F64Arr2D
 * ctypedef Array3Own[double] F64Arr3D
 * ctypedef Array4Own[double] F64Arr4D             # <<<<<<<<<<<<<<
 * ctypedef Array5Own[double] F64Arr5D
 * ctypedef double f64
 */
typedef Jasnah::Array4Own<double>  __pyx_t_8CmoArray_F64Arr4D;

/* "CmoArray.pxd":224
 * ctypedef Array3Own[double] F64Arr3D
 * ctypedef Array4Own[double] F64Arr4D
 * ctypedef Array5Own[double] F64Arr5D             # <<<<<<<<<<<<<<
 * ctypedef double f64
 */
typedef Jasnah::Array5Own<double>  __pyx_t_8CmoArray_F64Arr5D;
struct __pyx_opt_args_11lightweaver_10LwCompiled_6LwAtom_set_pops_escape_probability;
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_compute_profiles;
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_formal_sol_gamma_matrices;
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_formal_sol;
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_update_deps;
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_rel_diff_pops;
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_rel_diff_ng_accelerate;
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_time_dep_update;
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_stat_equil;
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_setup_stokes;
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_single_stokes_fs;
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_prd_redistribute;

/* "Source/LwMiddleLayer.pyx":31
 * ctypedef np.int8_t i8
 * ctypedef int64_t i64
 * ctypedef Array1NonOwn[np.int32_t] I32View             # <<<<<<<<<<<<<<
 * ctypedef Array1NonOwn[bool_t] BoolView
 * ctypedef Array2NonOwn[np.int32_t] BcIdxs
 */
typedef Jasnah::Array1NonOwn<__pyx_t_5numpy_int32_t>  __pyx_t_11lightweaver_10LwCompiled_I32View;

/* "Source/LwMiddleLayer.pyx":32
 * ctypedef int64_t i64
 * ctypedef Array1NonOwn[np.int32_t] I32View
 * ctypedef Array1NonOwn[bool_t] BoolView             # <<<<<<<<<<<<<<
 * ctypedef Array2NonOwn[np.int32_t] BcIdxs
 * 
 */
typedef Jasnah::Array1NonOwn<bool>  __pyx_t_11lightweaver_10LwCompiled_BoolView;

/* "Source/LwMiddleLayer.pyx":33
 * ctypedef Array1NonOwn[np.int32_t] I32View
 * ctypedef Array1NonOwn[bool_t] BoolView
 * ctypedef Array2NonOwn[np.int32_t] BcIdxs             # <<<<<<<<<<<<<<
 * 
 * # NOTE(cmo): Define everything we need from the C++ code.
 */
typedef Jasnah::Array2NonOwn<__pyx_t_5numpy_int32_t>  __pyx_t_11lightweaver_10LwCompiled_BcIdxs;

/* "Source/LwMiddleLayer.pyx":2541
 * 
 * 
 *     cpdef set_pops_escape_probability(self, LwAtmosphere a, LwBackground bg, conserveCharge=False, int Niter=100):             # <<<<<<<<<<<<<<
 *         cdef np.ndarray[np.double_t, ndim=3] Gamma
 *         cdef np.ndarray[np.double_t, ndim=3] C
 */
struct __pyx_opt_args_11lightweaver_10LwCompiled_6LwAtom_set_pops_escape_probability {
  int __pyx_n;
  PyObject *conserveCharge;
  int Niter;
};

/* "Source/LwMiddleLayer.pyx":3116
 *         self.ctx.update_threads()
 * 
 *     cpdef compute_profiles(self, polarised=False):             # <<<<<<<<<<<<<<
 *         '''
 *         Compute the line profiles for the spectral lines on all active and
 */
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_compute_profiles {
  int __pyx_n;
  PyObject *polarised;
};

/* "Source/LwMiddleLayer.pyx":3132
 *             atom.compute_profiles(polarised=polarised)
 * 
 *     cpdef formal_sol_gamma_matrices(self, fixCollisionalRates=False, lambdaIterate=False,             # <<<<<<<<<<<<<<
 *                                     printUpdate=None):
 *         '''
 */
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_formal_sol_gamma_matrices {
  int __pyx_n;
  PyObject *fixCollisionalRates;
  PyObject *lambdaIterate;
  PyObject *printUpdate;
};

/* "Source/LwMiddleLayer.pyx":3185
 *         return update
 * 
 *     cpdef formal_sol(self, upOnly=True):             # <<<<<<<<<<<<<<
 *         '''
 *         Compute the formal solution across all wavelengths (used by
 */
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_formal_sol {
  int __pyx_n;
  PyObject *upOnly;
};

/* "Source/LwMiddleLayer.pyx":3209
 * 
 * 
 *     cpdef update_deps(self, temperature=True, ne=True, vturb=True,             # <<<<<<<<<<<<<<
 *                       vlos=True, B=True, background=True, hprd=True):
 *         '''
 */
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_update_deps {
  int __pyx_n;
  PyObject *temperature;
  PyObject *ne;
  PyObject *vturb;
  PyObject *vlos;
  PyObject *B;
  PyObject *background;
  PyObject *hprd;
};

/* "Source/LwMiddleLayer.pyx":3250
 *             self.update_hprd_coeffs()
 * 
 *     cpdef rel_diff_pops(self, printUpdate=None):             # <<<<<<<<<<<<<<
 *         '''
 *         Internal.
 */
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_rel_diff_pops {
  int __pyx_n;
  PyObject *printUpdate;
};

/* "Source/LwMiddleLayer.pyx":3278
 *         return update
 * 
 *     cpdef rel_diff_ng_accelerate(self, printUpdate=None):             # <<<<<<<<<<<<<<
 *         '''
 *         Internal.
 */
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_rel_diff_ng_accelerate {
  int __pyx_n;
  PyObject *printUpdate;
};

/* "Source/LwMiddleLayer.pyx":3308
 *         return update
 * 
 *     cpdef time_dep_update(self, f64 dt, prevTimePops=None, ngUpdate=None,             # <<<<<<<<<<<<<<
 *                           printUpdate=None, int chunkSize=20):
 *         '''
 */
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_time_dep_update {
  int __pyx_n;
  PyObject *prevTimePops;
  PyObject *ngUpdate;
  PyObject *printUpdate;
  int chunkSize;
};

/* "Source/LwMiddleLayer.pyx":3414
 *             atom.atom.ng.clear()
 * 
 *     cpdef stat_equil(self, printUpdate=None, int chunkSize=20):             # <<<<<<<<<<<<<<
 *         '''
 *         Update the populations of active atoms using the current values of
 */
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_stat_equil {
  int __pyx_n;
  PyObject *printUpdate;
  int chunkSize;
};

/* "Source/LwMiddleLayer.pyx":3514
 *         self.atmos.update_projections()
 * 
 *     cpdef setup_stokes(self, recompute=False):             # <<<<<<<<<<<<<<
 *         '''
 *         Configure the Context for Full Stokes radiative transfer.
 */
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_setup_stokes {
  int __pyx_n;
  PyObject *recompute;
};

/* "Source/LwMiddleLayer.pyx":3547
 *         self.spect.setup_stokes()
 * 
 *     cpdef single_stokes_fs(self, recompute=False, updateJ=False, upOnly=True,             # <<<<<<<<<<<<<<
 *                            extraParams=None):
 *         '''
 */
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_single_stokes_fs {
  int __pyx_n;
  PyObject *recompute;
  PyObject *updateJ;
  PyObject *upOnly;
  PyObject *extraParams;
};

/* "Source/LwMiddleLayer.pyx":3589
 *         return update
 * 
 *     cpdef prd_redistribute(self, int maxIter=3, f64 tol=1e-2, printUpdate=None):             # <<<<<<<<<<<<<<
 *         '''
 *         Update emission profile ratio rho by computing the scattering integral
 */
struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_prd_redistribute {
  int __pyx_n;
  int maxIter;
  __pyx_t_8CmoArray_f64 tol;
  PyObject *printUpdate;
};

/* "Source/LwMiddleLayer.pyx":473
 *     return result
 * 
 * cdef class LwDepthData:             # <<<<<<<<<<<<<<
 *     '''
 *     Simple object to lazily hold data that isn't usually stored during the
 */
struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData {
  PyObject_HEAD
  PyObject *shape;
  DepthData depthData;
  __Pyx_memviewslice chi;
  __Pyx_memviewslice eta;
  __Pyx_memviewslice I;
};


/* "Source/LwMiddleLayer.pyx":584
 *         raise ValueError('BC returned from python does not match expected shape for %s (%d, %d, %d), got %s' % (location, dim0, dim1, dim2, repr(pyArr.shape)))
 * 
 * cdef class LwAtmosphere:             # <<<<<<<<<<<<<<
 *     '''
 *     Storage for the C++ class, ensuring all of the arrays remained pinned
 */
struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere {
  PyObject_HEAD
  Atmosphere atmos;
  __Pyx_memviewslice x;
  __Pyx_memviewslice y;
  __Pyx_memviewslice z;
  __Pyx_memviewslice temperature;
  __Pyx_memviewslice ne;
  __Pyx_memviewslice vx;
  __Pyx_memviewslice vy;
  __Pyx_memviewslice vz;
  __Pyx_memviewslice vlosMu;
  __Pyx_memviewslice B;
  __Pyx_memviewslice gammaB;
  __Pyx_memviewslice chiB;
  __Pyx_memviewslice cosGamma;
  __Pyx_memviewslice cos2chi;
  __Pyx_memviewslice sin2chi;
  __Pyx_memviewslice vturb;
  __Pyx_memviewslice nHTot;
  __Pyx_memviewslice muz;
  __Pyx_memviewslice muy;
  __Pyx_memviewslice mux;
  __Pyx_memviewslice wmu;
  int Nwave;
  PyObject *pyAtmos;
};


/* "Source/LwMiddleLayer.pyx":1153
 * 
 * 
 * cdef class BackgroundProvider:             # <<<<<<<<<<<<<<
 *     '''
 *     Base class for implementing background packages. Inherit from this to
 */
struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider {
  PyObject_HEAD
  struct __pyx_vtabstruct_11lightweaver_10LwCompiled_BackgroundProvider *__pyx_vtab;
};


/* "Source/LwMiddleLayer.pyx":1191
 *         raise NotImplementedError
 * 
 * cdef class BasicBackground(BackgroundProvider):             # <<<<<<<<<<<<<<
 *     '''
 *     Basic background implementation used by default in Lightweaver;
 */
struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground {
  struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider __pyx_base;
  BackgroundData bd;
  PyObject *eqPops;
  PyObject *radSet;
  __Pyx_memviewslice chPops;
  __Pyx_memviewslice ohPops;
  __Pyx_memviewslice h2Pops;
  __Pyx_memviewslice hMinusPops;
  __Pyx_memviewslice hPops;
  __Pyx_memviewslice wavelength;
};


/* "Source/LwMiddleLayer.pyx":1381
 *         return self._reconstruct, (self.__getstate__(),)
 * 
 * cdef class FastBackground(BackgroundProvider):             # <<<<<<<<<<<<<<
 *     '''
 *     A faster implementation (due to C++ implementations) of BasicBackground
 */
struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground {
  struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider __pyx_base;
  BackgroundData bd;
  PyObject *eqPops;
  PyObject *radSet;
  __Pyx_memviewslice chPops;
  __Pyx_memviewslice ohPops;
  __Pyx_memviewslice h2Pops;
  __Pyx_memviewslice hMinusPops;
  __Pyx_memviewslice hPops;
  __Pyx_memviewslice wavelength;
  FastBackgroundContext ctx;
  int Nthreads;
};


/* "Source/LwMiddleLayer.pyx":1557
 * 
 * 
 * cdef class LwBackground:             # <<<<<<<<<<<<<<
 *     '''
 *     Storage and driver for the background computations in Lightweaver. The
 */
struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground {
  PyObject_HEAD
  struct __pyx_vtabstruct_11lightweaver_10LwCompiled_LwBackground *__pyx_vtab;
  Background background;
  PyObject *eqPops;
  PyObject *radSet;
  struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider *provider;
  __Pyx_memviewslice wavelength;
  __Pyx_memviewslice chi;
  __Pyx_memviewslice eta;
  __Pyx_memviewslice sca;
};


/* "Source/LwMiddleLayer.pyx":1666
 * 
 * 
 * cdef class RayleighScatterer:             # <<<<<<<<<<<<<<
 *     '''
 *     For computing Rayleigh scattering, used by BasicBackground.
 */
struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer {
  PyObject_HEAD
  struct __pyx_vtabstruct_11lightweaver_10LwCompiled_RayleighScatterer *__pyx_vtab;
  __pyx_t_8CmoArray_f64 lambdaLimit;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *atmos;
  __pyx_t_8CmoArray_f64 C;
  __pyx_t_8CmoArray_f64 sigmaE;
  __Pyx_memviewslice pops;
  PyObject *atom;
  bool lines;
  PyObject *lambdaRed;
};


/* "Source/LwMiddleLayer.pyx":1732
 *         return True
 * 
 * cdef class LwTransition:             # <<<<<<<<<<<<<<
 *     '''
 *     Storage and access to transition data used by backend. Instantiated by
 */
struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition {
  PyObject_HEAD
  struct __pyx_vtabstruct_11lightweaver_10LwCompiled_LwTransition *__pyx_vtab;
  Transition trans;
  __Pyx_memviewslice phi;
  __Pyx_memviewslice phiQ;
  __Pyx_memviewslice phiU;
  __Pyx_memviewslice phiV;
  __Pyx_memviewslice psiQ;
  __Pyx_memviewslice psiU;
  __Pyx_memviewslice psiV;
  __Pyx_memviewslice wphi;
  __Pyx_memviewslice alpha;
  __Pyx_memviewslice wavelength;
  __Pyx_memviewslice active;
  __Pyx_memviewslice Qelast;
  __Pyx_memviewslice aDamp;
  __Pyx_memviewslice rhoPrd;
  __Pyx_memviewslice Rij;
  __Pyx_memviewslice Rji;
  PyObject *transModel;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *atmos;
  PyObject *spect;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *atom;
};


/* "Source/LwMiddleLayer.pyx":2271
 *             return 'Continuum'
 * 
 * cdef class LwZeemanComponents:             # <<<<<<<<<<<<<<
 *     '''
 *     Stores the Zeeman components to be passed to the backend, only exists
 */
struct __pyx_obj_11lightweaver_10LwCompiled_LwZeemanComponents {
  PyObject_HEAD
  ZeemanComponents zc;
  __Pyx_memviewslice alpha;
  __Pyx_memviewslice shift;
  __Pyx_memviewslice strength;
};


/* "Source/LwMiddleLayer.pyx":2290
 *         self.zc.strength = f64_view(self.strength)
 * 
 * cdef class LwAtom:             # <<<<<<<<<<<<<<
 *     '''
 *     Storage and access to computational atomic data used by backend. Sets up
 */
struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom {
  PyObject_HEAD
  struct __pyx_vtabstruct_11lightweaver_10LwCompiled_LwAtom *__pyx_vtab;
  Atom atom;
  __Pyx_memviewslice vBroad;
  __Pyx_memviewslice Gamma;
  __Pyx_memviewslice C;
  __Pyx_memviewslice nTotal;
  __Pyx_memviewslice nStar;
  __Pyx_memviewslice n;
  __Pyx_memviewslice stages;
  PyObject *atomicModel;
  PyObject *modelPops;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *atmos;
  PyObject *eqPops;
  PyObject *trans;
  bool detailed;
  PyObject *fsIterSchemeProperties;
};


/* "Source/LwMiddleLayer.pyx":2704
 *     spect.JRest = F64Arr2D(f64_view_2(JRest))
 * 
 * cdef class LwSpectrum:             # <<<<<<<<<<<<<<
 *     '''
 *     Storage and access to spectrum data used by backend. Instantiated by
 */
struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum {
  PyObject_HEAD
  Spectrum spect;
  __Pyx_memviewslice wavelength;
  __Pyx_memviewslice I;
  __Pyx_memviewslice J;
  __Pyx_memviewslice Quv;
};


/* "Source/LwMiddleLayer.pyx":2810
 * 
 * 
 * cdef class LwContext:             # <<<<<<<<<<<<<<
 *     '''
 *     Context that configures and drives the backend. Whilst the class is named
 */
struct __pyx_obj_11lightweaver_10LwCompiled_LwContext {
  PyObject_HEAD
  struct __pyx_vtabstruct_11lightweaver_10LwCompiled_LwContext *__pyx_vtab;
  Context ctx;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *atmos;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *spect;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *background;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *depthData;
  PyObject *kwargs;
  PyObject *eqPops;
  PyObject *activeAtoms;
  PyObject *detailedAtoms;
  bool conserveCharge;
  bool hprd;
  PyObject *crswCallback;
  PyObject *crswDone;
  PyObject *__dict__;
};


/* "Source/LwMiddleLayer.pyx":3920
 * 
 * 
 * cdef class LwFormalSolverManager:             # <<<<<<<<<<<<<<
 *     '''
 *     Storage and enumeration of the different formal solvers loaded for use in
 */
struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager {
  PyObject_HEAD
  FormalSolverManager manager;
  PyObject *paths;
  PyObject *names;
};


/* "Source/LwMiddleLayer.pyx":3994
 *             raise ValueError()
 * 
 * cdef class LwInterpFnManager:             # <<<<<<<<<<<<<<
 *     '''
 *     Storage and enumeration of the different interpolation functions for
 */
struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager {
  PyObject_HEAD
  InterpFnManager manager;
  PyObject *paths;
  PyObject *names;
};


/* "Source/LwMiddleLayer.pyx":4067
 *             raise ValueError("Unexpected Ndim")
 * 
 * cdef class LwFsIterationManager:             # <<<<<<<<<<<<<<
 *     cdef FsIterationFnsManager manager
 *     cdef public list paths
 */
struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager {
  PyObject_HEAD
  FsIterationFnsManager manager;
  PyObject *paths;
  PyObject *names;
};


/* "Source/LwMiddleLayer.pyx":1970
 * 
 * 
 *     def compute_phi(self):             # <<<<<<<<<<<<<<
 *         '''
 *         Computes the line profile phi (phi_num in the technical report), by
 */
struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi {
  PyObject_HEAD
  Atmosphere *__pyx_v_atmos;
  int __pyx_v_callbackUsed;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self;
};


/* "View.MemoryView":105
 * 
 * @cname("__pyx_array")
 * cdef class array:             # <<<<<<<<<<<<<<
 * 
 *     cdef:
 */
struct __pyx_array_obj {
  PyObject_HEAD
  struct __pyx_vtabstruct_array *__pyx_vtab;
  char *data;
  Py_ssize_t len;
  char *format;
  int ndim;
  Py_ssize_t *_shape;
  Py_ssize_t *_strides;
  Py_ssize_t itemsize;
  PyObject *mode;
  PyObject *_format;
  void (*callback_free_data)(void *);
  int free_data;
  int dtype_is_object;
};


/* "View.MemoryView":279
 * 
 * @cname('__pyx_MemviewEnum')
 * cdef class Enum(object):             # <<<<<<<<<<<<<<
 *     cdef object name
 *     def __init__(self, name):
 */
struct __pyx_MemviewEnum_obj {
  PyObject_HEAD
  PyObject *name;
};


/* "View.MemoryView":330
 * 
 * @cname('__pyx_memoryview')
 * cdef class memoryview(object):             # <<<<<<<<<<<<<<
 * 
 *     cdef object obj
 */
struct __pyx_memoryview_obj {
  PyObject_HEAD
  struct __pyx_vtabstruct_memoryview *__pyx_vtab;
  PyObject *obj;
  PyObject *_size;
  PyObject *_array_interface;
  PyThread_type_lock lock;
  __pyx_atomic_int acquisition_count[2];
  __pyx_atomic_int *acquisition_count_aligned_p;
  Py_buffer view;
  int flags;
  int dtype_is_object;
  __Pyx_TypeInfo *typeinfo;
};


/* "View.MemoryView":965
 * 
 * @cname('__pyx_memoryviewslice')
 * cdef class _memoryviewslice(memoryview):             # <<<<<<<<<<<<<<
 *     "Internal class for passing memoryview slices to Python"
 * 
 */
struct __pyx_memoryviewslice_obj {
  struct __pyx_memoryview_obj __pyx_base;
  __Pyx_memviewslice from_slice;
  PyObject *from_object;
  PyObject *(*to_object_func)(char *);
  int (*to_dtype_func)(char *, PyObject *);
};



/* "Source/LwMiddleLayer.pyx":1153
 * 
 * 
 * cdef class BackgroundProvider:             # <<<<<<<<<<<<<<
 *     '''
 *     Base class for implementing background packages. Inherit from this to
 */

struct __pyx_vtabstruct_11lightweaver_10LwCompiled_BackgroundProvider {
  PyObject *(*compute_background)(struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider *, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *, PyObject *, PyObject *, PyObject *, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_11lightweaver_10LwCompiled_BackgroundProvider *__pyx_vtabptr_11lightweaver_10LwCompiled_BackgroundProvider;


/* "Source/LwMiddleLayer.pyx":1191
 *         raise NotImplementedError
 * 
 * cdef class BasicBackground(BackgroundProvider):             # <<<<<<<<<<<<<<
 *     '''
 *     Basic background implementation used by default in Lightweaver;
 */

struct __pyx_vtabstruct_11lightweaver_10LwCompiled_BasicBackground {
  struct __pyx_vtabstruct_11lightweaver_10LwCompiled_BackgroundProvider __pyx_base;
  PyObject *(*rayleigh_scattering)(struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *, __Pyx_memviewslice, int __pyx_skip_dispatch);
  PyObject *(*bf_opacities)(struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *, __Pyx_memviewslice, __Pyx_memviewslice, int __pyx_skip_dispatch);
};
static struct __pyx_vtabstruct_11lightweaver_10LwCompiled_BasicBackground *__pyx_vtabptr_11lightweaver_10LwCompiled_BasicBackground;


/* "Source/LwMiddleLayer.pyx":1381
 *         return self._reconstruct, (self.__getstate__(),)
 * 
 * cdef class FastBackground(BackgroundProvider):             # <<<<<<<<<<<<<<
 *     '''
 *     A faster implementation (due to C++ implementations) of BasicBackground
 */

struct __pyx_vtabstruct_11lightweaver_10LwCompiled_FastBackground {
  struct __pyx_vtabstruct_11lightweaver_10LwCompiled_BackgroundProvider __pyx_base;
};
static struct __pyx_vtabstruct_11lightweaver_10LwCompiled_FastBackground *__pyx_vtabptr_11lightweaver_10LwCompiled_FastBackground;


/* "Source/LwMiddleLayer.pyx":1557
 * 
 * 
 * cdef class LwBackground:             # <<<<<<<<<<<<<<
 *     '''
 *     Storage and driver for the background computations in Lightweaver. The
 */

struct __pyx_vtabstruct_11lightweaver_10LwCompiled_LwBackground {
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/* "Source/LwMiddleLayer.pyx":1666
 * 
 * 
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struct __pyx_vtabstruct_11lightweaver_10LwCompiled_RayleighScatterer {
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/* "Source/LwMiddleLayer.pyx":1732
 *         return True
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 * cdef class LwTransition:             # <<<<<<<<<<<<<<
 *     '''
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struct __pyx_vtabstruct_11lightweaver_10LwCompiled_LwTransition {
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/* "Source/LwMiddleLayer.pyx":2290
 *         self.zc.strength = f64_view(self.strength)
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/* "Source/LwMiddleLayer.pyx":2810
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 * 
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    (var) = (likely(__pyx_dict_version == __PYX_GET_DICT_VERSION(__pyx_d))) ?\
        (likely(__pyx_dict_cached_value) ? __Pyx_NewRef(__pyx_dict_cached_value) : __Pyx_GetBuiltinName(name)) :\
        __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
}
#define __Pyx_GetModuleGlobalNameUncached(var, name)  {\
    PY_UINT64_T __pyx_dict_version;\
    PyObject *__pyx_dict_cached_value;\
    (var) = __Pyx__GetModuleGlobalName(name, &__pyx_dict_version, &__pyx_dict_cached_value);\
}
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value);
#else
#define __Pyx_GetModuleGlobalName(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
#define __Pyx_GetModuleGlobalNameUncached(var, name)  (var) = __Pyx__GetModuleGlobalName(name)
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name);
#endif

/* PyIntCompare.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* MemviewSliceInit.proto */
#define __Pyx_BUF_MAX_NDIMS %(BUF_MAX_NDIMS)d
#define __Pyx_MEMVIEW_DIRECT   1
#define __Pyx_MEMVIEW_PTR      2
#define __Pyx_MEMVIEW_FULL     4
#define __Pyx_MEMVIEW_CONTIG   8
#define __Pyx_MEMVIEW_STRIDED  16
#define __Pyx_MEMVIEW_FOLLOW   32
#define __Pyx_IS_C_CONTIG 1
#define __Pyx_IS_F_CONTIG 2
static int __Pyx_init_memviewslice(
                struct __pyx_memoryview_obj *memview,
                int ndim,
                __Pyx_memviewslice *memviewslice,
                int memview_is_new_reference);
static CYTHON_INLINE int __pyx_add_acquisition_count_locked(
    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);
static CYTHON_INLINE int __pyx_sub_acquisition_count_locked(
    __pyx_atomic_int *acquisition_count, PyThread_type_lock lock);
#define __pyx_get_slice_count_pointer(memview) (memview->acquisition_count_aligned_p)
#define __pyx_get_slice_count(memview) (*__pyx_get_slice_count_pointer(memview))
#define __PYX_INC_MEMVIEW(slice, have_gil) __Pyx_INC_MEMVIEW(slice, have_gil, __LINE__)
#define __PYX_XDEC_MEMVIEW(slice, have_gil) __Pyx_XDEC_MEMVIEW(slice, have_gil, __LINE__)
static CYTHON_INLINE void __Pyx_INC_MEMVIEW(__Pyx_memviewslice *, int, int);
static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *, int, int);

/* WriteUnraisableException.proto */
static void __Pyx_WriteUnraisable(const char *name, int clineno,
                                  int lineno, const char *filename,
                                  int full_traceback, int nogil);

/* RaiseArgTupleInvalid.proto */
static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
    Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found);

/* RaiseDoubleKeywords.proto */
static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

/* ParseKeywords.proto */
static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
    PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,\
    const char* function_name);

/* GetTopmostException.proto */
#if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif

/* SaveResetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSave(type, value, tb)  __Pyx__ExceptionSave(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#define __Pyx_ExceptionReset(type, value, tb)  __Pyx__ExceptionReset(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
#else
#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
#endif

/* PyErrExceptionMatches.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_ExceptionMatches(err) __Pyx_PyErr_ExceptionMatchesInState(__pyx_tstate, err)
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err);
#else
#define __Pyx_PyErr_ExceptionMatches(err)  PyErr_ExceptionMatches(err)
#endif

/* GetException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_GetException(type, value, tb)  __Pyx__GetException(__pyx_tstate, type, value, tb)
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* DictGetItem.proto */
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key);
#define __Pyx_PyObject_Dict_GetItem(obj, name)\
    (likely(PyDict_CheckExact(obj)) ?\
     __Pyx_PyDict_GetItem(obj, name) : PyObject_GetItem(obj, name))
#else
#define __Pyx_PyDict_GetItem(d, key) PyObject_GetItem(d, key)
#define __Pyx_PyObject_Dict_GetItem(obj, name)  PyObject_GetItem(obj, name)
#endif

/* PyUnicode_Unicode.proto */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_Unicode(PyObject *obj);

/* GCCDiagnostics.proto */
#if defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 6))
#define __Pyx_HAS_GCC_DIAGNOSTIC
#endif

/* BuildPyUnicode.proto */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, char* chars, int clength,
                                                int prepend_sign, char padding_char);

/* CIntToPyUnicode.proto */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char);

/* PyObjectFormatAndDecref.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f);
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f);

/* SwapException.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_ExceptionSwap(type, value, tb)  __Pyx__ExceptionSwap(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb);
#endif

/* ArgTypeTest.proto */
#define __Pyx_ArgTypeTest(obj, type, none_allowed, name, exact)\
    ((likely((Py_TYPE(obj) == type) | (none_allowed && (obj == Py_None)))) ? 1 :\
        __Pyx__ArgTypeTest(obj, type, name, exact))
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact);

/* GetAttr.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *, PyObject *);

/* GetAttr3.proto */
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *, PyObject *, PyObject *);

/* None.proto */
static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname);

/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

/* GetItemInt.proto */
#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Fast(o, (Py_ssize_t)i, is_list, wraparound, boundscheck) :\
    (is_list ? (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL) :\
               __Pyx_GetItemInt_Generic(o, to_py_func(i))))
#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_List_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "list index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
    (__Pyx_fits_Py_ssize_t(i, type, is_signed) ?\
    __Pyx_GetItemInt_Tuple_Fast(o, (Py_ssize_t)i, wraparound, boundscheck) :\
    (PyErr_SetString(PyExc_IndexError, "tuple index out of range"), (PyObject*)NULL))
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              int wraparound, int boundscheck);
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck);

/* ObjectGetItem.proto */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key);
#else
#define __Pyx_PyObject_GetItem(obj, key)  PyObject_GetItem(obj, key)
#endif

/* tp_new.proto */
#define __Pyx_tp_new(type_obj, args) __Pyx_tp_new_kwargs(type_obj, args, NULL)
static CYTHON_INLINE PyObject* __Pyx_tp_new_kwargs(PyObject* type_obj, PyObject* args, PyObject* kwargs) {
    return (PyObject*) (((PyTypeObject*)type_obj)->tp_new((PyTypeObject*)type_obj, args, kwargs));
}

/* ExtTypeTest.proto */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_TrueDivideObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif

/* PyIntCompare.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_NeObjC(PyObject *op1, PyObject *op2, long intval, long inplace);

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideCObj(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_TrueDivideCObj(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceTrueDivide(op1, op2) : PyNumber_TrueDivide(op1, op2))
#endif

/* PyFloatBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_SubtractObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyFloat_SubtractObjC(op1, op2, floatval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceSubtract(op1, op2) : PyNumber_Subtract(op1, op2))
#endif

/* BytesEquals.proto */
static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals);

/* UnicodeEquals.proto */
static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals);

/* SliceObject.proto */
#define __Pyx_PyObject_DelSlice(obj, cstart, cstop, py_start, py_stop, py_slice, has_cstart, has_cstop, wraparound)\
    __Pyx_PyObject_SetSlice(obj, (PyObject*)NULL, cstart, cstop, py_start, py_stop, py_slice, has_cstart, has_cstop, wraparound)
static CYTHON_INLINE int __Pyx_PyObject_SetSlice(
        PyObject* obj, PyObject* value, Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** py_start, PyObject** py_stop, PyObject** py_slice,
        int has_cstart, int has_cstop, int wraparound);

/* None.proto */
static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname);

/* FetchCommonType.proto */
static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type);

/* CythonFunctionShared.proto */
#define __Pyx_CyFunction_USED 1
#define __Pyx_CYFUNCTION_STATICMETHOD  0x01
#define __Pyx_CYFUNCTION_CLASSMETHOD   0x02
#define __Pyx_CYFUNCTION_CCLASS        0x04
#define __Pyx_CyFunction_GetClosure(f)\
    (((__pyx_CyFunctionObject *) (f))->func_closure)
#define __Pyx_CyFunction_GetClassObj(f)\
    (((__pyx_CyFunctionObject *) (f))->func_classobj)
#define __Pyx_CyFunction_Defaults(type, f)\
    ((type *)(((__pyx_CyFunctionObject *) (f))->defaults))
#define __Pyx_CyFunction_SetDefaultsGetter(f, g)\
    ((__pyx_CyFunctionObject *) (f))->defaults_getter = (g)
typedef struct {
    PyCFunctionObject func;
#if PY_VERSION_HEX < 0x030500A0
    PyObject *func_weakreflist;
#endif
    PyObject *func_dict;
    PyObject *func_name;
    PyObject *func_qualname;
    PyObject *func_doc;
    PyObject *func_globals;
    PyObject *func_code;
    PyObject *func_closure;
    PyObject *func_classobj;
    void *defaults;
    int defaults_pyobjects;
    size_t defaults_size;  // used by FusedFunction for copying defaults
    int flags;
    PyObject *defaults_tuple;
    PyObject *defaults_kwdict;
    PyObject *(*defaults_getter)(PyObject *);
    PyObject *func_annotations;
} __pyx_CyFunctionObject;
static PyTypeObject *__pyx_CyFunctionType = 0;
#define __Pyx_CyFunction_Check(obj)  (__Pyx_TypeCheck(obj, __pyx_CyFunctionType))
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject* op, PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *self,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *m,
                                                         size_t size,
                                                         int pyobjects);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *m,
                                                            PyObject *tuple);
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *m,
                                                             PyObject *dict);
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *m,
                                                              PyObject *dict);
static int __pyx_CyFunction_init(void);

/* CythonFunction.proto */
static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml,
                                      int flags, PyObject* qualname,
                                      PyObject *closure,
                                      PyObject *module, PyObject *globals,
                                      PyObject* code);

/* ListCompAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_ListComp_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len)) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        __Pyx_SET_SIZE(list, len + 1);
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_ListComp_Append(L,x) PyList_Append(L,x)
#endif

/* IsLittleEndian.proto */
static CYTHON_INLINE int __Pyx_Is_Little_Endian(void);

/* BufferFormatCheck.proto */
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts);
static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type);

/* BufferGetAndValidate.proto */
#define __Pyx_GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack)\
    ((obj == Py_None || obj == NULL) ?\
    (__Pyx_ZeroBuffer(buf), 0) :\
    __Pyx__GetBufferAndValidate(buf, obj, dtype, flags, nd, cast, stack))
static int  __Pyx__GetBufferAndValidate(Py_buffer* buf, PyObject* obj,
    __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);
static void __Pyx_ZeroBuffer(Py_buffer* buf);
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);
static Py_ssize_t __Pyx_minusones[] = { -1, -1, -1, -1, -1, -1, -1, -1 };
static Py_ssize_t __Pyx_zeros[] = { 0, 0, 0, 0, 0, 0, 0, 0 };

#define __Pyx_BufPtrStrided3d(type, buf, i0, s0, i1, s1, i2, s2) (type)((char*)buf + i0 * s0 + i1 * s1 + i2 * s2)
/* BufferFallbackError.proto */
static void __Pyx_RaiseBufferFallbackError(void);

#define __Pyx_BufPtrStrided1d(type, buf, i0, s0) (type)((char*)buf + i0 * s0)
/* PyObjectSetAttrStr.proto */
#if CYTHON_USE_TYPE_SLOTS
#define __Pyx_PyObject_DelAttrStr(o,n) __Pyx_PyObject_SetAttrStr(o, n, NULL)
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value);
#else
#define __Pyx_PyObject_DelAttrStr(o,n)   PyObject_DelAttr(o,n)
#define __Pyx_PyObject_SetAttrStr(o,n,v) PyObject_SetAttr(o,n,v)
#endif

/* PyObjectCallMethod1.proto */
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg);

/* append.proto */
static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x);

/* PyIntBinop.proto */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, long intval, int inplace, int zerodivision_check);
#else
#define __Pyx_PyInt_AddObjC(op1, op2, intval, inplace, zerodivision_check)\
    (inplace ? PyNumber_InPlaceAdd(op1, op2) : PyNumber_Add(op1, op2))
#endif

/* ListExtend.proto */
static CYTHON_INLINE int __Pyx_PyList_Extend(PyObject* L, PyObject* v) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject* none = _PyList_Extend((PyListObject*)L, v);
    if (unlikely(!none))
        return -1;
    Py_DECREF(none);
    return 0;
#else
    return PyList_SetSlice(L, PY_SSIZE_T_MAX, PY_SSIZE_T_MAX, v);
#endif
}

/* KeywordStringCheck.proto */
static int __Pyx_CheckKeywordStrings(PyObject *kwdict, const char* function_name, int kw_allowed);

/* decode_c_string_utf16.proto */
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 0;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16LE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = -1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}
static CYTHON_INLINE PyObject *__Pyx_PyUnicode_DecodeUTF16BE(const char *s, Py_ssize_t size, const char *errors) {
    int byteorder = 1;
    return PyUnicode_DecodeUTF16(s, size, errors, &byteorder);
}

/* decode_c_string.proto */
static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors));

/* Import.proto */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

/* ImportFrom.proto */
static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name);

/* HasAttr.proto */
static CYTHON_INLINE int __Pyx_HasAttr(PyObject *, PyObject *);

/* StrEquals.proto */
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyString_Equals __Pyx_PyUnicode_Equals
#else
#define __Pyx_PyString_Equals __Pyx_PyBytes_Equals
#endif

/* DivInt[Py_ssize_t].proto */
static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t, Py_ssize_t);

/* UnaryNegOverflows.proto */
#define UNARY_NEG_WOULD_OVERFLOW(x)\
        (((x) < 0) & ((unsigned long)(x) == 0-(unsigned long)(x)))

static CYTHON_UNUSED int __pyx_array_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *); /*proto*/
/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject *type);
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *type1, PyObject *type2);
#else
#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
#define __Pyx_PyErr_GivenExceptionMatches(err, type) PyErr_GivenExceptionMatches(err, type)
#define __Pyx_PyErr_GivenExceptionMatches2(err, type1, type2) (PyErr_GivenExceptionMatches(err, type1) || PyErr_GivenExceptionMatches(err, type2))
#endif
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)

static CYTHON_UNUSED int __pyx_memoryview_getbuffer(PyObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /*proto*/
/* DivInt[long].proto */
static CYTHON_INLINE long __Pyx_div_long(long, long);

/* CallNextTpTraverse.proto */
static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse);

/* CallNextTpClear.proto */
static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_dealloc);

/* PyObject_GenericGetAttrNoDict.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttrNoDict PyObject_GenericGetAttr
#endif

/* PyObject_GenericGetAttr.proto */
#if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name);
#else
#define __Pyx_PyObject_GenericGetAttr PyObject_GenericGetAttr
#endif

/* PyObjectGetAttrStrNoError.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name);

/* SetupReduce.proto */
static int __Pyx_setup_reduce(PyObject* type_obj);

/* SetVTable.proto */
static int __Pyx_SetVtable(PyObject *dict, void *vtable);

/* TypeImport.proto */
#ifndef __PYX_HAVE_RT_ImportType_proto
#define __PYX_HAVE_RT_ImportType_proto
enum __Pyx_ImportType_CheckSize {
   __Pyx_ImportType_CheckSize_Error = 0,
   __Pyx_ImportType_CheckSize_Warn = 1,
   __Pyx_ImportType_CheckSize_Ignore = 2
};
static PyTypeObject *__Pyx_ImportType(PyObject* module, const char *module_name, const char *class_name, size_t size, enum __Pyx_ImportType_CheckSize check_size);
#endif

/* ClassMethod.proto */
#include "descrobject.h"
static CYTHON_UNUSED PyObject* __Pyx_Method_ClassMethod(PyObject *method);

/* GetNameInClass.proto */
#define __Pyx_GetNameInClass(var, nmspace, name)  (var) = __Pyx__GetNameInClass(nmspace, name)
static PyObject *__Pyx__GetNameInClass(PyObject *nmspace, PyObject *name);

/* CLineInTraceback.proto */
#ifdef CYTHON_CLINE_IN_TRACEBACK
#define __Pyx_CLineForTraceback(tstate, c_line)  (((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0)
#else
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line);
#endif

/* CodeObjectCache.proto */
typedef struct {
    PyCodeObject* code_object;
    int code_line;
} __Pyx_CodeObjectCacheEntry;
struct __Pyx_CodeObjectCache {
    int count;
    int max_count;
    __Pyx_CodeObjectCacheEntry* entries;
};
static struct __Pyx_CodeObjectCache __pyx_code_cache = {0,0,NULL};
static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line);
static PyCodeObject *__pyx_find_code_object(int code_line);
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object);

/* AddTraceback.proto */
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename);

#if PY_MAJOR_VERSION < 3
    static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
    static void __Pyx_ReleaseBuffer(Py_buffer *view);
#else
    #define __Pyx_GetBuffer PyObject_GetBuffer
    #define __Pyx_ReleaseBuffer PyBuffer_Release
#endif


/* BufferStructDeclare.proto */
typedef struct {
  Py_ssize_t shape, strides, suboffsets;
} __Pyx_Buf_DimInfo;
typedef struct {
  size_t refcount;
  Py_buffer pybuffer;
} __Pyx_Buffer;
typedef struct {
  __Pyx_Buffer *rcbuffer;
  char *data;
  __Pyx_Buf_DimInfo diminfo[8];
} __Pyx_LocalBuf_ND;

/* MemviewSliceIsContig.proto */
static int __pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim);

/* OverlappingSlices.proto */
static int __pyx_slices_overlap(__Pyx_memviewslice *slice1,
                                __Pyx_memviewslice *slice2,
                                int ndim, size_t itemsize);

/* Capsule.proto */
static CYTHON_INLINE PyObject *__pyx_capsule_create(void *p, const char *sig);

/* None.proto */
#include <new>

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_8CmoArray_f64(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_8CmoArray_f64(const char *itemp, PyObject *obj);

/* TypeInfoCompare.proto */
static int __pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b);

/* MemviewSliceValidateAndInit.proto */
static int __Pyx_ValidateAndInit_memviewslice(
                int *axes_specs,
                int c_or_f_flag,
                int buf_flags,
                int ndim,
                __Pyx_TypeInfo *dtype,
                __Pyx_BufFmt_StackElem stack[],
                __Pyx_memviewslice *memviewslice,
                PyObject *original_obj);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_8CmoArray_f64(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_8CmoArray_f64(PyObject *, int writable_flag);

/* CppExceptionConversion.proto */
#ifndef __Pyx_CppExn2PyErr
#include <new>
#include <typeinfo>
#include <stdexcept>
#include <ios>
static void __Pyx_CppExn2PyErr() {
  try {
    if (PyErr_Occurred())
      ; // let the latest Python exn pass through and ignore the current one
    else
      throw;
  } catch (const std::bad_alloc& exn) {
    PyErr_SetString(PyExc_MemoryError, exn.what());
  } catch (const std::bad_cast& exn) {
    PyErr_SetString(PyExc_TypeError, exn.what());
  } catch (const std::bad_typeid& exn) {
    PyErr_SetString(PyExc_TypeError, exn.what());
  } catch (const std::domain_error& exn) {
    PyErr_SetString(PyExc_ValueError, exn.what());
  } catch (const std::invalid_argument& exn) {
    PyErr_SetString(PyExc_ValueError, exn.what());
  } catch (const std::ios_base::failure& exn) {
    PyErr_SetString(PyExc_IOError, exn.what());
  } catch (const std::out_of_range& exn) {
    PyErr_SetString(PyExc_IndexError, exn.what());
  } catch (const std::overflow_error& exn) {
    PyErr_SetString(PyExc_OverflowError, exn.what());
  } catch (const std::range_error& exn) {
    PyErr_SetString(PyExc_ArithmeticError, exn.what());
  } catch (const std::underflow_error& exn) {
    PyErr_SetString(PyExc_ArithmeticError, exn.what());
  } catch (const std::exception& exn) {
    PyErr_SetString(PyExc_RuntimeError, exn.what());
  }
  catch (...)
  {
    PyErr_SetString(PyExc_RuntimeError, "Unknown exception");
  }
}
#endif

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_nn___pyx_t_8CmoArray_f64(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_d_dc_nn___pyx_t_8CmoArray_f64(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_11lightweaver_10LwCompiled_i64(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_11lightweaver_10LwCompiled_i64(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_nn___pyx_t_11lightweaver_10LwCompiled_i64(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_d_dc_nn___pyx_t_11lightweaver_10LwCompiled_i64(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_5numpy_int32_t(PyObject *, int writable_flag);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_11lightweaver_10LwCompiled_i8(PyObject *, int writable_flag);

/* MemviewDtypeToObject.proto */
static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_11lightweaver_10LwCompiled_i8(const char *itemp);
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_11lightweaver_10LwCompiled_i8(const char *itemp, PyObject *obj);

/* ObjectToMemviewSlice.proto */
static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5numpy_int32_t(PyObject *, int writable_flag);

/* RealImag.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    #define __Pyx_CREAL(z) ((z).real())
    #define __Pyx_CIMAG(z) ((z).imag())
  #else
    #define __Pyx_CREAL(z) (__real__(z))
    #define __Pyx_CIMAG(z) (__imag__(z))
  #endif
#else
    #define __Pyx_CREAL(z) ((z).real)
    #define __Pyx_CIMAG(z) ((z).imag)
#endif
#if defined(__cplusplus) && CYTHON_CCOMPLEX\
        && (defined(_WIN32) || defined(__clang__) || (defined(__GNUC__) && (__GNUC__ >= 5 || __GNUC__ == 4 && __GNUC_MINOR__ >= 4 )) || __cplusplus >= 201103)
    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
#else
    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_float(a, b)   ((a)==(b))
    #define __Pyx_c_sum_float(a, b)  ((a)+(b))
    #define __Pyx_c_diff_float(a, b) ((a)-(b))
    #define __Pyx_c_prod_float(a, b) ((a)*(b))
    #define __Pyx_c_quot_float(a, b) ((a)/(b))
    #define __Pyx_c_neg_float(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_float(z) ((z)==(float)0)
    #define __Pyx_c_conj_float(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (::std::abs(z))
        #define __Pyx_c_pow_float(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_float(z) ((z)==0)
    #define __Pyx_c_conj_float(z)    (conjf(z))
    #if 1
        #define __Pyx_c_abs_float(z)     (cabsf(z))
        #define __Pyx_c_pow_float(a, b)  (cpowf(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex, __pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex);
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex);
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex);
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex, __pyx_t_float_complex);
    #endif
#endif

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX
    #define __Pyx_c_eq_double(a, b)   ((a)==(b))
    #define __Pyx_c_sum_double(a, b)  ((a)+(b))
    #define __Pyx_c_diff_double(a, b) ((a)-(b))
    #define __Pyx_c_prod_double(a, b) ((a)*(b))
    #define __Pyx_c_quot_double(a, b) ((a)/(b))
    #define __Pyx_c_neg_double(a)     (-(a))
  #ifdef __cplusplus
    #define __Pyx_c_is_zero_double(z) ((z)==(double)0)
    #define __Pyx_c_conj_double(z)    (::std::conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (::std::abs(z))
        #define __Pyx_c_pow_double(a, b)  (::std::pow(a, b))
    #endif
  #else
    #define __Pyx_c_is_zero_double(z) ((z)==0)
    #define __Pyx_c_conj_double(z)    (conj(z))
    #if 1
        #define __Pyx_c_abs_double(z)     (cabs(z))
        #define __Pyx_c_pow_double(a, b)  (cpow(a, b))
    #endif
 #endif
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex, __pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex);
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex);
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex);
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex);
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex, __pyx_t_double_complex);
    #endif
#endif

/* MemviewSliceCopyTemplate.proto */
static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 size_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object);

/* CIntFromPy.proto */
static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE int64_t __Pyx_PyInt_As_int64_t(PyObject *);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__RadiationBc(enum RadiationBc value);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value);

/* CIntFromPy.proto */
static CYTHON_INLINE enum RadiationBc __Pyx_PyInt_As_enum__RadiationBc(PyObject *);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int8(npy_int8 value);

/* CIntFromPy.proto */
static CYTHON_INLINE npy_int8 __Pyx_PyInt_As_npy_int8(PyObject *);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value);

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int64_t(int64_t value);

/* CIntFromPy.proto */
static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *);

/* CheckBinaryVersion.proto */
static int __Pyx_check_binary_version(void);

/* InitStrings.proto */
static int __Pyx_InitStrings(__Pyx_StringTabEntry *t);

static PyObject *__pyx_f_11lightweaver_10LwCompiled_18BackgroundProvider_compute_background(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider *__pyx_v_self, CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_atmos, CYTHON_UNUSED PyObject *__pyx_v_chi, CYTHON_UNUSED PyObject *__pyx_v_eta, CYTHON_UNUSED PyObject *__pyx_v_sca, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_15BasicBackground_compute_background(struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_atmos, PyObject *__pyx_v_chiIn, PyObject *__pyx_v_etaIn, PyObject *__pyx_v_scaIn, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_15BasicBackground_rayleigh_scattering(struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_atmos, __Pyx_memviewslice __pyx_v_sca, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_15BasicBackground_bf_opacities(struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_atmos, __Pyx_memviewslice __pyx_v_chi, __Pyx_memviewslice __pyx_v_eta, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_14FastBackground_compute_background(struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_atmos, PyObject *__pyx_v_chiIn, PyObject *__pyx_v_etaIn, PyObject *__pyx_v_scaIn, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_12LwBackground_update_background(struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_atmos, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_17RayleighScatterer_scatter(struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *__pyx_v_self, __pyx_t_8CmoArray_f64 __pyx_v_wavelength, __Pyx_memviewslice __pyx_v_sca, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_12LwTransition_compute_polarised_profiles(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_12LwTransition_recompute_gII(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_6LwAtom_set_pops_escape_probability(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_a, struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *__pyx_v_bg, int __pyx_skip_dispatch, struct __pyx_opt_args_11lightweaver_10LwCompiled_6LwAtom_set_pops_escape_probability *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_6LwAtom_setup_wavelength(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self, int __pyx_v_la, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_setup_threads(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_v_Nthreads); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_update_threads(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_compute_profiles(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_compute_profiles *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_formal_sol_gamma_matrices(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_formal_sol_gamma_matrices *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_formal_sol(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_formal_sol *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_update_deps(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_update_deps *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_rel_diff_pops(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_rel_diff_pops *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_rel_diff_ng_accelerate(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_rel_diff_ng_accelerate *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_time_dep_update(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, __pyx_t_8CmoArray_f64 __pyx_v_dt, int __pyx_skip_dispatch, struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_time_dep_update *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_time_dep_restore_prev_pops(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_prevTimePops, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_clear_ng(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_stat_equil(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_stat_equil *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_update_projections(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_setup_stokes(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_setup_stokes *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_single_stokes_fs(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_single_stokes_fs *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_prd_redistribute(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch, struct __pyx_opt_args_11lightweaver_10LwCompiled_9LwContext_prd_redistribute *__pyx_optional_args); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_configure_hprd_coeffs(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_9LwContext_update_hprd_coeffs(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_skip_dispatch); /* proto*/
static PyObject *__pyx_array_get_memview(struct __pyx_array_obj *__pyx_v_self); /* proto*/
static char *__pyx_memoryview_get_item_pointer(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index); /* proto*/
static PyObject *__pyx_memoryview_is_slice(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_obj); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assignment(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_dst, PyObject *__pyx_v_src); /* proto*/
static PyObject *__pyx_memoryview_setitem_slice_assign_scalar(struct __pyx_memoryview_obj *__pyx_v_self, struct __pyx_memoryview_obj *__pyx_v_dst, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_setitem_indexed(struct __pyx_memoryview_obj *__pyx_v_self, PyObject *__pyx_v_index, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryview_convert_item_to_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryview_assign_item_from_object(struct __pyx_memoryview_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/
static PyObject *__pyx_memoryviewslice_convert_item_to_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp); /* proto*/
static PyObject *__pyx_memoryviewslice_assign_item_from_object(struct __pyx_memoryviewslice_obj *__pyx_v_self, char *__pyx_v_itemp, PyObject *__pyx_v_value); /* proto*/

/* Module declarations from 'cpython.buffer' */

/* Module declarations from 'libc.string' */

/* Module declarations from 'libc.stdio' */

/* Module declarations from '__builtin__' */

/* Module declarations from 'cpython.type' */
static PyTypeObject *__pyx_ptype_7cpython_4type_type = 0;

/* Module declarations from 'cpython' */

/* Module declarations from 'cpython.object' */

/* Module declarations from 'cpython.ref' */

/* Module declarations from 'cpython.mem' */

/* Module declarations from 'numpy' */

/* Module declarations from 'numpy' */
static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
static PyTypeObject *__pyx_ptype_5numpy_generic = 0;
static PyTypeObject *__pyx_ptype_5numpy_number = 0;
static PyTypeObject *__pyx_ptype_5numpy_integer = 0;
static PyTypeObject *__pyx_ptype_5numpy_signedinteger = 0;
static PyTypeObject *__pyx_ptype_5numpy_unsignedinteger = 0;
static PyTypeObject *__pyx_ptype_5numpy_inexact = 0;
static PyTypeObject *__pyx_ptype_5numpy_floating = 0;
static PyTypeObject *__pyx_ptype_5numpy_complexfloating = 0;
static PyTypeObject *__pyx_ptype_5numpy_flexible = 0;
static PyTypeObject *__pyx_ptype_5numpy_character = 0;
static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;
static CYTHON_INLINE int __pyx_f_5numpy_import_array(void); /*proto*/

/* Module declarations from 'CmoArray' */

/* Module declarations from 'libcpp' */

/* Module declarations from 'libcpp.vector' */

/* Module declarations from 'libcpp.string' */

/* Module declarations from 'libc.math' */

/* Module declarations from 'libc.stdint' */

/* Module declarations from 'CmoArrayHelper' */

/* Module declarations from 'lightweaver.LwCompiled' */
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_LwDepthData = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_LwAtmosphere = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_BackgroundProvider = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_BasicBackground = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_FastBackground = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_LwBackground = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_RayleighScatterer = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_LwTransition = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_LwZeemanComponents = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_LwAtom = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_LwSpectrum = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_LwContext = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_LwFormalSolverManager = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_LwInterpFnManager = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled_LwFsIterationManager = 0;
static PyTypeObject *__pyx_ptype_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi = 0;
static PyTypeObject *__pyx_array_type = 0;
static PyTypeObject *__pyx_MemviewEnum_type = 0;
static PyTypeObject *__pyx_memoryview_type = 0;
static PyTypeObject *__pyx_memoryviewslice_type = 0;
static PyObject *generic = 0;
static PyObject *strided = 0;
static PyObject *indirect = 0;
static PyObject *contiguous = 0;
static PyObject *indirect_contiguous = 0;
static int __pyx_memoryview_thread_locks_used;
static PyThread_type_lock __pyx_memoryview_thread_locks[8];
static __pyx_t_8CmoArray_F64View __pyx_f_11lightweaver_10LwCompiled_f64_view(__Pyx_memviewslice); /*proto*/
static __pyx_t_8CmoArray_F64View2D __pyx_f_11lightweaver_10LwCompiled_f64_view_2(__Pyx_memviewslice); /*proto*/
static __pyx_t_8CmoArray_F64View3D __pyx_f_11lightweaver_10LwCompiled_f64_view_3(__Pyx_memviewslice); /*proto*/
static __pyx_t_8CmoArray_F64View4D __pyx_f_11lightweaver_10LwCompiled_f64_view_4(__Pyx_memviewslice); /*proto*/
static ExtraParams __pyx_f_11lightweaver_10LwCompiled_dict2ExtraParams(PyObject *); /*proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_verify_bc_array_sizes(AtmosphericBoundaryCondition *, __Pyx_memviewslice, PyObject *); /*proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_JRest_to_numpy(__pyx_t_8CmoArray_F64Arr2D); /*proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_JRest_from_numpy(Spectrum, __Pyx_memviewslice); /*proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_fvec2list(std::vector<__pyx_t_8CmoArray_f64>  const &); /*proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_ivec2list(std::vector<int>  const &); /*proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled_IterationUpdate_from_IterationResult(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *, IterationResult); /*proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled___pyx_unpickle_BackgroundProvider__set_state(struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider *, PyObject *); /*proto*/
static PyObject *__pyx_f_11lightweaver_10LwCompiled___pyx_unpickle_RayleighScatterer__set_state(struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *, PyObject *); /*proto*/
static CYTHON_INLINE PyObject *__Pyx_carray_to_py_Py_ssize_t(Py_ssize_t *, Py_ssize_t); /*proto*/
static CYTHON_INLINE PyObject *__Pyx_carray_to_tuple_Py_ssize_t(Py_ssize_t *, Py_ssize_t); /*proto*/
static struct __pyx_array_obj *__pyx_array_new(PyObject *, Py_ssize_t, char *, char *, char *); /*proto*/
static void *__pyx_align_pointer(void *, size_t); /*proto*/
static PyObject *__pyx_memoryview_new(PyObject *, int, int, __Pyx_TypeInfo *); /*proto*/
static CYTHON_INLINE int __pyx_memoryview_check(PyObject *); /*proto*/
static PyObject *_unellipsify(PyObject *, int); /*proto*/
static PyObject *assert_direct_dimensions(Py_ssize_t *, int); /*proto*/
static struct __pyx_memoryview_obj *__pyx_memview_slice(struct __pyx_memoryview_obj *, PyObject *); /*proto*/
static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int *, Py_ssize_t, Py_ssize_t, Py_ssize_t, int, int, int, int); /*proto*/
static char *__pyx_pybuffer_index(Py_buffer *, char *, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memslice_transpose(__Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_fromslice(__Pyx_memviewslice, int, PyObject *(*)(char *), int (*)(char *, PyObject *), int); /*proto*/
static __Pyx_memviewslice *__pyx_memoryview_get_slice_from_memoryview(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static void __pyx_memoryview_slice_copy(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static PyObject *__pyx_memoryview_copy_object(struct __pyx_memoryview_obj *); /*proto*/
static PyObject *__pyx_memoryview_copy_object_from_slice(struct __pyx_memoryview_obj *, __Pyx_memviewslice *); /*proto*/
static Py_ssize_t abs_py_ssize_t(Py_ssize_t); /*proto*/
static char __pyx_get_best_slice_order(__Pyx_memviewslice *, int); /*proto*/
static void _copy_strided_to_strided(char *, Py_ssize_t *, char *, Py_ssize_t *, Py_ssize_t *, Py_ssize_t *, int, size_t); /*proto*/
static void copy_strided_to_strided(__Pyx_memviewslice *, __Pyx_memviewslice *, int, size_t); /*proto*/
static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *, int); /*proto*/
static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *, Py_ssize_t *, Py_ssize_t, int, char); /*proto*/
static void *__pyx_memoryview_copy_data_to_temp(__Pyx_memviewslice *, __Pyx_memviewslice *, char, int); /*proto*/
static int __pyx_memoryview_err_extents(int, Py_ssize_t, Py_ssize_t); /*proto*/
static int __pyx_memoryview_err_dim(PyObject *, char *, int); /*proto*/
static int __pyx_memoryview_err(PyObject *, char *); /*proto*/
static int __pyx_memoryview_copy_contents(__Pyx_memviewslice, __Pyx_memviewslice, int, int, int); /*proto*/
static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *, int, int); /*proto*/
static void __pyx_memoryview_refcount_copying(__Pyx_memviewslice *, int, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice_with_gil(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_refcount_objects_in_slice(char *, Py_ssize_t *, Py_ssize_t *, int, int); /*proto*/
static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *, int, size_t, void *, int); /*proto*/
static void __pyx_memoryview__slice_assign_scalar(char *, Py_ssize_t *, Py_ssize_t *, int, size_t, void *); /*proto*/
static PyObject *__pyx_unpickle_Enum__set_state(struct __pyx_MemviewEnum_obj *, PyObject *); /*proto*/
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_double_t = { "double_t", NULL, sizeof(__pyx_t_5numpy_double_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_8CmoArray_f64 = { "f64", NULL, sizeof(__pyx_t_8CmoArray_f64), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_11lightweaver_10LwCompiled_i64 = { "i64", NULL, sizeof(__pyx_t_11lightweaver_10LwCompiled_i64), { 0 }, 0, IS_UNSIGNED(__pyx_t_11lightweaver_10LwCompiled_i64) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_11lightweaver_10LwCompiled_i64), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_int32_t = { "int32_t", NULL, sizeof(__pyx_t_5numpy_int32_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_int32_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_int32_t), 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_11lightweaver_10LwCompiled_i8 = { "i8", NULL, sizeof(__pyx_t_11lightweaver_10LwCompiled_i8), { 0 }, 0, IS_UNSIGNED(__pyx_t_11lightweaver_10LwCompiled_i8) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_11lightweaver_10LwCompiled_i8), 0 };
#define __Pyx_MODULE_NAME "lightweaver.LwCompiled"
extern int __pyx_module_is_main_lightweaver__LwCompiled;
int __pyx_module_is_main_lightweaver__LwCompiled = 0;

/* Implementation of 'lightweaver.LwCompiled' */
static PyObject *__pyx_builtin_staticmethod;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_AttributeError;
static PyObject *__pyx_builtin_NotImplementedError;
static PyObject *__pyx_builtin_super;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_print;
static PyObject *__pyx_builtin_DeprecationWarning;
static PyObject *__pyx_builtin_any;
static PyObject *__pyx_builtin_ImportError;
static PyObject *__pyx_builtin_MemoryError;
static PyObject *__pyx_builtin_Ellipsis;
static PyObject *__pyx_builtin_id;
static PyObject *__pyx_builtin_IndexError;
static const char __pyx_k_[] = ", ";
static const char __pyx_k_B[] = "B";
static const char __pyx_k_C[] = "C";
static const char __pyx_k_H[] = "H-";
static const char __pyx_k_I[] = "I";
static const char __pyx_k_J[] = "J";
static const char __pyx_k_O[] = "O";
static const char __pyx_k_a[] = "a";
static const char __pyx_k_c[] = "c";
static const char __pyx_k_d[] = "d";
static const char __pyx_k_g[] = "g";
static const char __pyx_k_i[] = "i";
static const char __pyx_k_j[] = "j";
static const char __pyx_k_n[] = "n";
static const char __pyx_k_s[] = "s";
static const char __pyx_k_x[] = "x";
static const char __pyx_k_y[] = "y";
static const char __pyx_k_z[] = "z";
static const char __pyx_k_CH[] = "CH";
static const char __pyx_k_H2[] = "H2";
static const char __pyx_k_HC[] = "HC";
static const char __pyx_k_He[] = "He";
static const char __pyx_k_Ng[] = "Ng";
static const char __pyx_k_Nx[] = "Nx";
static const char __pyx_k_Ny[] = "Ny";
static const char __pyx_k_Nz[] = "Nz";
static const char __pyx_k_OH[] = "OH";
static const char __pyx_k__5[] = " (";
static const char __pyx_k__6[] = ".";
static const char __pyx_k_bc[] = "bc";
static const char __pyx_k_bg[] = "bg";
static const char __pyx_k_dC[] = "dC";
static const char __pyx_k_dt[] = "dt";
static const char __pyx_k_id[] = "id";
static const char __pyx_k_la[] = "la";
static const char __pyx_k_mu[] = "mu";
static const char __pyx_k_ne[] = "ne";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_os[] = "os";
static const char __pyx_k_pi[] = "pi";
static const char __pyx_k_sd[] = "sd";
static const char __pyx_k_vx[] = "vx";
static const char __pyx_k_vy[] = "vy";
static const char __pyx_k_vz[] = "vz";
static const char __pyx_k_Aji[] = "Aji";
static const char __pyx_k_Bij[] = "Bij";
static const char __pyx_k_Bji[] = "Bji";
static const char __pyx_k_H_2[] = "H";
static const char __pyx_k_Lte[] = "Lte";
static const char __pyx_k_Nmu[] = "Nmu";
static const char __pyx_k_PRD[] = "PRD";
static const char __pyx_k_Quv[] = "Quv";
static const char __pyx_k_Rij[] = "Rij";
static const char __pyx_k_Rji[] = "Rji";
static const char __pyx_k_Uji[] = "Uji";
static const char __pyx_k_Vij[] = "Vij";
static const char __pyx_k_Vji[] = "Vji";
static const char __pyx_k__64[] = "*";
static const char __pyx_k_all[] = "all";
static const char __pyx_k_any[] = "any";
static const char __pyx_k_chi[] = "chi";
static const char __pyx_k_ctx[] = "ctx";
static const char __pyx_k_eta[] = "eta";
static const char __pyx_k_got[] = "), got ";
static const char __pyx_k_mus[] = "mus";
static const char __pyx_k_mux[] = "mux";
static const char __pyx_k_muy[] = "muy";
static const char __pyx_k_muz[] = "muz";
static const char __pyx_k_new[] = "__new__";
static const char __pyx_k_obj[] = "obj";
static const char __pyx_k_phi[] = "phi";
static const char __pyx_k_sca[] = "sca";
static const char __pyx_k_sum[] = "sum";
static const char __pyx_k_tol[] = "tol";
static const char __pyx_k_val[] = "val";
static const char __pyx_k_wmu[] = "wmu";
static const char __pyx_k_Enum[] = "Enum";
static const char __pyx_k_Line[] = "Line";
static const char __pyx_k_Ndim[] = "Ndim";
static const char __pyx_k_NoBc[] = "NoBc";
static const char __pyx_k_None[] = "None";
static const char __pyx_k_Nred[] = "Nred";
static const char __pyx_k_Zero[] = "Zero";
static const char __pyx_k_args[] = "args";
static const char __pyx_k_atom[] = "atom";
static const char __pyx_k_auto[] = "auto";
static const char __pyx_k_axis[] = "axis";
static const char __pyx_k_base[] = "base";
static const char __pyx_k_bool[] = "bool";
static const char __pyx_k_chiB[] = "chiB";
static const char __pyx_k_copy[] = "copy";
static const char __pyx_k_crsw[] = "crsw";
static const char __pyx_k_dRho[] = "dRho";
static const char __pyx_k_dict[] = "__dict__";
static const char __pyx_k_enum[] = "enum";
static const char __pyx_k_fill[] = "fill";
static const char __pyx_k_hprd[] = "hprd";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_int8[] = "int8";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_mode[] = "mode";
static const char __pyx_k_name[] = "name";
static const char __pyx_k_ndim[] = "ndim";
static const char __pyx_k_ones[] = "ones";
static const char __pyx_k_pack[] = "pack";
static const char __pyx_k_phiQ[] = "phiQ";
static const char __pyx_k_phiU[] = "phiU";
static const char __pyx_k_phiV[] = "phiV";
static const char __pyx_k_pops[] = "pops";
static const char __pyx_k_psiQ[] = "psiQ";
static const char __pyx_k_psiU[] = "psiU";
static const char __pyx_k_psiV[] = "psiV";
static const char __pyx_k_rays[] = "rays";
static const char __pyx_k_size[] = "size";
static const char __pyx_k_sqrt[] = "sqrt";
static const char __pyx_k_step[] = "step";
static const char __pyx_k_stop[] = "stop";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_time[] = "time";
static const char __pyx_k_type[] = "type";
static const char __pyx_k_vlos[] = "vlos";
static const char __pyx_k_warn[] = "warn";
static const char __pyx_k_wphi[] = "wphi";
static const char __pyx_k_ASCII[] = "ASCII";
static const char __pyx_k_Const[] = "Const";
static const char __pyx_k_Gamma[] = "Gamma";
static const char __pyx_k_JRest[] = "JRest";
static const char __pyx_k_Nblue[] = "Nblue";
static const char __pyx_k_Niter[] = "Niter";
static const char __pyx_k_Nrays[] = "Nrays";
static const char __pyx_k_Nwave[] = "Nwave";
static const char __pyx_k_UTF_8[] = "UTF-8";
static const char __pyx_k_aDamp[] = "aDamp";
static const char __pyx_k_alpha[] = "alpha";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_atmos[] = "atmos";
static const char __pyx_k_atoms[] = "atoms";
static const char __pyx_k_chiIn[] = "chiIn";
static const char __pyx_k_class[] = "__class__";
static const char __pyx_k_dJMax[] = "dJMax";
static const char __pyx_k_dPops[] = "dPops";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_error[] = "error";
static const char __pyx_k_etaIn[] = "etaIn";
static const char __pyx_k_flags[] = "flags";
static const char __pyx_k_hPops[] = "hPops";
static const char __pyx_k_index[] = "index";
static const char __pyx_k_int64[] = "int64";
static const char __pyx_k_items[] = "items";
static const char __pyx_k_lines[] = "lines";
static const char __pyx_k_nHTot[] = "nHTot";
static const char __pyx_k_nPrev[] = "nPrev";
static const char __pyx_k_nStar[] = "nStar";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_scaIn[] = "scaIn";
static const char __pyx_k_shape[] = "shape";
static const char __pyx_k_shift[] = "shift";
static const char __pyx_k_spect[] = "spect";
static const char __pyx_k_stage[] = "stage";
static const char __pyx_k_start[] = "start";
static const char __pyx_k_super[] = "super";
static const char __pyx_k_toObs[] = "toObs";
static const char __pyx_k_trans[] = "trans";
static const char __pyx_k_utils[] = "utils";
static const char __pyx_k_vturb[] = "vturb";
static const char __pyx_k_weno4[] = "weno4";
static const char __pyx_k_zeros[] = "zeros";
static const char __pyx_k_CLight[] = "CLight";
static const char __pyx_k_LwAtom[] = "LwAtom";
static const char __pyx_k_Ndelay[] = "Ndelay";
static const char __pyx_k_Norder[] = "Norder";
static const char __pyx_k_Nspace[] = "Nspace";
static const char __pyx_k_Qelast[] = "Qelast";
static const char __pyx_k_active[] = "active";
static const char __pyx_k_append[] = "append";
static const char __pyx_k_argmax[] = "argmax";
static const char __pyx_k_astype[] = "astype";
static const char __pyx_k_chPops[] = "chPops";
static const char __pyx_k_chiB_2[] = ", chiB: ";
static const char __pyx_k_dNeMax[] = "dNeMax";
static const char __pyx_k_encode[] = "encode";
static const char __pyx_k_eqPops[] = "eqPops";
static const char __pyx_k_format[] = "format";
static const char __pyx_k_gammaB[] = "gammaB";
static const char __pyx_k_h2Pops[] = "h2Pops";
static const char __pyx_k_iLevel[] = "iLevel";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_interp[] = "interp";
static const char __pyx_k_jLevel[] = "jLevel";
static const char __pyx_k_kwargs[] = "kwargs";
static const char __pyx_k_levels[] = "levels";
static const char __pyx_k_nTotal[] = "nTotal";
static const char __pyx_k_name_2[] = "__name__";
static const char __pyx_k_ohPops[] = "ohPops";
static const char __pyx_k_params[] = "params";
static const char __pyx_k_pickle[] = "pickle";
static const char __pyx_k_radSet[] = "radSet";
static const char __pyx_k_redIdx[] = "redIdx";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_rhoPrd[] = "rhoPrd";
static const char __pyx_k_stages[] = "stages";
static const char __pyx_k_stokes[] = "stokes";
static const char __pyx_k_struct[] = "struct";
static const char __pyx_k_unpack[] = "unpack";
static const char __pyx_k_upOnly[] = "upOnly";
static const char __pyx_k_update[] = "update";
static const char __pyx_k_vBroad[] = "vBroad";
static const char __pyx_k_vlosMu[] = "vlosMu";
static const char __pyx_k_HPlanck[] = "HPlanck";
static const char __pyx_k_NM_TO_M[] = "NM_TO_M";
static const char __pyx_k_Nlambda[] = "Nlambda";
static const char __pyx_k_Nperiod[] = "Nperiod";
static const char __pyx_k_asarray[] = "asarray";
static const char __pyx_k_blueIdx[] = "blueIdx";
static const char __pyx_k_cos2chi[] = "cos2chi";
static const char __pyx_k_damping[] = "damping";
static const char __pyx_k_element[] = "element";
static const char __pyx_k_float64[] = "float64";
static const char __pyx_k_for_key[] = "'' for key ";
static const char __pyx_k_fortran[] = "fortran";
static const char __pyx_k_initSol[] = "initSol";
static const char __pyx_k_lambda0[] = "lambda0";
static const char __pyx_k_maxIter[] = "maxIter";
static const char __pyx_k_memview[] = "memview";
static const char __pyx_k_pyAtmos[] = "pyAtmos";
static const char __pyx_k_scatter[] = "scatter";
static const char __pyx_k_sin2chi[] = "sin2chi";
static const char __pyx_k_squeeze[] = "squeeze";
static const char __pyx_k_transId[] = "transId";
static const char __pyx_k_updateJ[] = "updateJ";
static const char __pyx_k_ERydberg[] = "ERydberg";
static const char __pyx_k_Ellipsis[] = "Ellipsis";
static const char __pyx_k_Epsilon0[] = "Epsilon0";
static const char __pyx_k_LineType[] = "LineType";
static const char __pyx_k_Nthreads[] = "Nthreads";
static const char __pyx_k_clear_ng[] = "clear_ng";
static const char __pyx_k_compAtom[] = "compAtom";
static const char __pyx_k_continua[] = "continua";
static const char __pyx_k_cosGamma[] = "cosGamma";
static const char __pyx_k_crswDone[] = "crswDone";
static const char __pyx_k_dJMaxIdx[] = "dJMaxIdx";
static const char __pyx_k_dJPrdMax[] = "dJPrdMax";
static const char __pyx_k_deepcopy[] = "deepcopy";
static const char __pyx_k_detailed[] = "detailed";
static const char __pyx_k_gammaB_2[] = ", gammaB: ";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_interpFn[] = "interpFn";
static const char __pyx_k_itemsize[] = "itemsize";
static const char __pyx_k_lte_pops[] = "lte_pops";
static const char __pyx_k_lwConfig[] = "lwConfig";
static const char __pyx_k_ngUpdate[] = "ngUpdate";
static const char __pyx_k_popsOnly[] = "popsOnly";
static const char __pyx_k_provider[] = "provider";
static const char __pyx_k_pyx_type[] = "__pyx_type";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_strength[] = "strength";
static const char __pyx_k_updatedJ[] = "updatedJ";
static const char __pyx_k_warnings[] = "warnings";
static const char __pyx_k_xLowerBc[] = "xLowerBc";
static const char __pyx_k_xUpperBc[] = "xUpperBc";
static const char __pyx_k_yLowerBc[] = "yLowerBc";
static const char __pyx_k_yUpperBc[] = "yUpperBc";
static const char __pyx_k_zLowerBc[] = "zLowerBc";
static const char __pyx_k_zUpperBc[] = "zUpperBc";
static const char __pyx_k_Continuum[] = "Continuum";
static const char __pyx_k_InterpFns[] = "InterpFns";
static const char __pyx_k_LwContext[] = "LwContext";
static const char __pyx_k_MElectron[] = "MElectron";
static const char __pyx_k_Noutgoing[] = "Noutgoing";
static const char __pyx_k_QElectron[] = "QElectron";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_aDampView[] = "aDampView";
static const char __pyx_k_chunkSize[] = "chunkSize";
static const char __pyx_k_dNeMaxIdx[] = "dNeMaxIdx";
static const char __pyx_k_depthData[] = "depthData";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_for_key_2[] = " for key ";
static const char __pyx_k_minLambda[] = "minLambda";
static const char __pyx_k_modelPops[] = "modelPops";
static const char __pyx_k_ngOptions[] = "ngOptions";
static const char __pyx_k_polarised[] = "polarised";
static const char __pyx_k_prevSpect[] = "prevSpect";
static const char __pyx_k_prevState[] = "prevState";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_recompute[] = "recompute";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_refinePrd[] = "refinePrd";
static const char __pyx_k_returnCtx[] = "returnCtx";
static const char __pyx_k_structure[] = "structure";
static const char __pyx_k_updateBcs[] = "updateBcs";
static const char __pyx_k_updatedNe[] = "updatedNe";
static const char __pyx_k_AtomicLine[] = "AtomicLine";
static const char __pyx_k_BC_to_enum[] = "BC_to_enum";
static const char __pyx_k_IndexError[] = "IndexError";
static const char __pyx_k_KBoltzmann[] = "KBoltzmann";
static const char __pyx_k_LwSpectrum[] = "LwSpectrum";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_atmosphere[] = "atmosphere";
static const char __pyx_k_atomicPops[] = "atomicPops";
static const char __pyx_k_atomic_set[] = "atomic_set";
static const char __pyx_k_background[] = "background";
static const char __pyx_k_collisions[] = "collisions";
static const char __pyx_k_compute_bc[] = "compute_bc";
static const char __pyx_k_dRhoMaxIdx[] = "dRhoMaxIdx";
static const char __pyx_k_formal_sol[] = "formal_sol";
static const char __pyx_k_hMinusPops[] = "hMinusPops";
static const char __pyx_k_lambdaEdge[] = "lambdaEdge";
static const char __pyx_k_pyx_result[] = "__pyx_result";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_stat_equil[] = "stat_equil";
static const char __pyx_k_state_dict[] = "state_dict";
static const char __pyx_k_transModel[] = "transModel";
static const char __pyx_k_updatedRho[] = "updatedRho";
static const char __pyx_k_vBroadView[] = "vBroadView";
static const char __pyx_k_wavelength[] = "wavelength";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_LwDepthData[] = "LwDepthData";
static const char __pyx_k_MemoryError[] = "MemoryError";
static const char __pyx_k_NprdSubIter[] = "NprdSubIter";
static const char __pyx_k_PickleError[] = "PickleError";
static const char __pyx_k_activeAtoms[] = "activeAtoms";
static const char __pyx_k_activeTrans[] = "activeTrans";
static const char __pyx_k_atomicModel[] = "atomicModel";
static const char __pyx_k_compute_bcs[] = "compute_bcs";
static const char __pyx_k_compute_phi[] = "compute_phi";
static const char __pyx_k_dJPrdMaxIdx[] = "dJPrdMaxIdx";
static const char __pyx_k_dPopsMaxIdx[] = "dPopsMaxIdx";
static const char __pyx_k_extraParams[] = "extraParams";
static const char __pyx_k_fromScratch[] = "fromScratch";
static const char __pyx_k_indexVector[] = "indexVector";
static const char __pyx_k_polarisable[] = "polarisable";
static const char __pyx_k_prevInitSol[] = "prevInitSol";
static const char __pyx_k_printUpdate[] = "printUpdate";
static const char __pyx_k_reconstruct[] = "_reconstruct";
static const char __pyx_k_temperature[] = "temperature";
static const char __pyx_k_transitions[] = "transitions";
static const char __pyx_k_update_deps[] = "update_deps";
static const char __pyx_k_updatedJPrd[] = "updatedJPrd";
static const char __pyx_k_updatedPops[] = "updatedPops";
static const char __pyx_k_wavelengths[] = "wavelengths";
static const char __pyx_k_LwAtmosphere[] = "LwAtmosphere";
static const char __pyx_k_LwBackground[] = "LwBackground";
static const char __pyx_k_LwTransition[] = "LwTransition";
static const char __pyx_k_Nwavelengths[] = "Nwavelengths";
static const char __pyx_k_atomic_model[] = "atomic_model";
static const char __pyx_k_atomic_table[] = "atomic_table";
static const char __pyx_k_backgroundNe[] = "backgroundNe";
static const char __pyx_k_bf_opacities[] = "bf_opacities";
static const char __pyx_k_crswCallback[] = "crswCallback";
static const char __pyx_k_fillDiagonal[] = "fillDiagonal";
static const char __pyx_k_formalSolver[] = "formalSolver";
static const char __pyx_k_fsIterScheme[] = "fsIterScheme";
static const char __pyx_k_passiveAtoms[] = "passiveAtoms";
static const char __pyx_k_prevTimePops[] = "prevTimePops";
static const char __pyx_k_pyx_checksum[] = "__pyx_checksum";
static const char __pyx_k_setup_stokes[] = "setup_stokes";
static const char __pyx_k_staticmethod[] = "staticmethod";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_updateTotals[] = "updateTotals";
static const char __pyx_k_FormalSolvers[] = "FormalSolvers";
static const char __pyx_k_PeriodicTable[] = "PeriodicTable";
static const char __pyx_k_Value_for_key[] = "Value for key ";
static const char __pyx_k_ZeroRadiation[] = "ZeroRadiation";
static const char __pyx_k_compute_rates[] = "compute_rates";
static const char __pyx_k_configure_bcs[] = "configure_bcs";
static const char __pyx_k_detailedAtoms[] = "detailedAtoms";
static const char __pyx_k_inConstructor[] = "inConstructor";
static const char __pyx_k_lambdaIterate[] = "lambdaIterate";
static const char __pyx_k_ngAccelerated[] = "ngAccelerated";
static const char __pyx_k_pyx_getbuffer[] = "__pyx_getbuffer";
static const char __pyx_k_recompute_gII[] = "recompute_gII";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_rel_diff_pops[] = "rel_diff_pops";
static const char __pyx_k_set_interp_fn[] = "set_interp_fn";
static const char __pyx_k_AttributeError[] = "AttributeError";
static const char __pyx_k_FastBackground[] = "FastBackground";
static const char __pyx_k_FormalSolver1d[] = "FormalSolver1d";
static const char __pyx_k_FormalSolver2d[] = "FormalSolver2d";
static const char __pyx_k_conserveCharge[] = "conserveCharge";
static const char __pyx_k_default_interp[] = "default_interp";
static const char __pyx_k_default_scheme[] = "default_scheme";
static const char __pyx_k_nr_post_update[] = "nr_post_update";
static const char __pyx_k_radiativeRates[] = "radiativeRates";
static const char __pyx_k_update_threads[] = "update_threads";
static const char __pyx_k_BasicBackground[] = "BasicBackground";
static const char __pyx_k_InitialSolution[] = "InitialSolution";
static const char __pyx_k_IterationScheme[] = "{IterationScheme}";
static const char __pyx_k_IterationUpdate[] = "IterationUpdate";
static const char __pyx_k_Singular_Matrix[] = "Singular Matrix";
static const char __pyx_k_Unexpected_Ndim[] = "Unexpected Ndim";
static const char __pyx_k_View_MemoryView[] = "View.MemoryView";
static const char __pyx_k_allocate_buffer[] = "allocate_buffer";
static const char __pyx_k_dtype_is_object[] = "dtype_is_object";
static const char __pyx_k_expected_one_of[] = ", expected one of ";
static const char __pyx_k_pyx_PickleError[] = "__pyx_PickleError";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_time_dep_update[] = "time_dep_update";
static const char __pyx_k_LineProfileState[] = "LineProfileState";
static const char __pyx_k_compute_profiles[] = "compute_profiles";
static const char __pyx_k_get_fs_iter_libs[] = "get_fs_iter_libs";
static const char __pyx_k_interp_linear_2d[] = "interp_linear_2d";
static const char __pyx_k_iteration_update[] = "iteration_update";
static const char __pyx_k_prd_redistribute[] = "prd_redistribute";
static const char __pyx_k_preserveProfiles[] = "preserveProfiles";
static const char __pyx_k_setup_wavelength[] = "setup_wavelength";
static const char __pyx_k_single_stokes_fs[] = "single_stokes_fs";
static const char __pyx_k_transWavelengths[] = "transWavelengths";
static const char __pyx_k_wavelengthSubset[] = "wavelengthSubset";
static const char __pyx_k_BoundaryCondition[] = "BoundaryCondition";
static const char __pyx_k_EscapeProbability[] = "EscapeProbability";
static const char __pyx_k_LwInterpFnManager[] = "LwInterpFnManager";
static const char __pyx_k_PeriodicRadiation[] = "PeriodicRadiation";
static const char __pyx_k_RayleighScatterer[] = "RayleighScatterer";
static const char __pyx_k_UnityCrswIterator[] = "UnityCrswIterator";
static const char __pyx_k_activeWavelengths[] = "activeWavelengths";
static const char __pyx_k_dimensionSpecific[] = "dimensionSpecific";
static const char __pyx_k_pyx_unpickle_Enum[] = "__pyx_unpickle_Enum";
static const char __pyx_k_scheme_properties[] = "scheme_properties";
static const char __pyx_k_set_formal_solver[] = "set_formal_solver";
static const char __pyx_k_timeDependentData[] = "timeDependentData";
static const char __pyx_k_update_background[] = "update_background";
static const char __pyx_k_zeeman_components[] = "zeeman_components";
static const char __pyx_k_BackgroundProvider[] = "BackgroundProvider";
static const char __pyx_k_DeprecationWarning[] = "DeprecationWarning";
static const char __pyx_k_FsIterationSchemes[] = "FsIterationSchemes";
static const char __pyx_k_LwZeemanComponents[] = "LwZeemanComponents";
static const char __pyx_k_backgroundProvider[] = "backgroundProvider";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_compute_background[] = "compute_background";
static const char __pyx_k_compute_collisions[] = "compute_collisions";
static const char __pyx_k_lightweaver_config[] = "lightweaver.config";
static const char __pyx_k_load_fns_from_path[] = "load_fns_from_path";
static const char __pyx_k_set_fs_iter_scheme[] = "set_fs_iter_scheme";
static const char __pyx_k_strided_and_direct[] = "<strided and direct>";
static const char __pyx_k_update_hprd_coeffs[] = "update_hprd_coeffs";
static const char __pyx_k_update_projections[] = "update_projections";
static const char __pyx_k_Got_array_with_type[] = "Got array with type ";
static const char __pyx_k_NotImplementedError[] = "NotImplementedError";
static const char __pyx_k_default_scheme_name[] = "default_scheme_name";
static const char __pyx_k_fixCollisionalRates[] = "fixCollisionalRates";
static const char __pyx_k_interp_J_from_state[] = "interp_J_from_state";
static const char __pyx_k_rayleigh_scattering[] = "rayleigh_scattering";
static const char __pyx_k_ExplodingMatrixError[] = "ExplodingMatrixError";
static const char __pyx_k_LwFsIterationManager[] = "LwFsIterationManager";
static const char __pyx_k_ThermalisedRadiation[] = "ThermalisedRadiation";
static const char __pyx_k_defaultWlaGijStorage[] = "defaultWlaGijStorage";
static const char __pyx_k_respectsFormalSolver[] = "respectsFormalSolver";
static const char __pyx_k_strided_and_indirect[] = "<strided and indirect>";
static const char __pyx_k_subset_configuration[] = "subset_configuration";
static const char __pyx_k_LwFormalSolverManager[] = "LwFormalSolverManager";
static const char __pyx_k_check_shape_exception[] = "check_shape_exception";
static const char __pyx_k_contiguous_and_direct[] = "<contiguous and direct>";
static const char __pyx_k_defaultPerAtomStorage[] = "defaultPerAtomStorage";
static const char __pyx_k_default_formal_solver[] = "default_formal_solver";
static const char __pyx_k_lightweaver_constants[] = "lightweaver.constants";
static const char __pyx_k_MemoryView_of_r_object[] = "<MemoryView of %r object>";
static const char __pyx_k_Please_specify_B_field[] = "Please specify B-field";
static const char __pyx_k_default_voigt_callback[] = "default_voigt_callback";
static const char __pyx_k_fsIterSchemeProperties[] = "fsIterSchemeProperties";
static const char __pyx_k_lightweaver_LwCompiled[] = "lightweaver.LwCompiled";
static const char __pyx_k_max_supported_is_4_got[] = ", max supported is 4, got ";
static const char __pyx_k_rel_diff_ng_accelerate[] = "rel_diff_ng_accelerate";
static const char __pyx_k_MemoryView_of_r_at_0x_x[] = "<MemoryView of %r at 0x%x>";
static const char __pyx_k_contiguous_and_indirect[] = "<contiguous and indirect>";
static const char __pyx_k_Cannot_index_with_type_s[] = "Cannot index with type '%s'";
static const char __pyx_k_Source_LwMiddleLayer_pyx[] = "Source/LwMiddleLayer.pyx";
static const char __pyx_k_Invalid_shape_in_axis_d_d[] = "Invalid shape in axis %d: %d.";
static const char __pyx_k_formal_sol_gamma_matrices[] = "formal_sol_gamma_matrices";
static const char __pyx_k_load_rates_prd_from_state[] = "load_rates_prd_from_state";
static const char __pyx_k_IterationScheme___SimdImpl[] = "{IterationScheme}_{SimdImpl}";
static const char __pyx_k_compute_polarised_profiles[] = "compute_polarised_profiles";
static const char __pyx_k_time_dep_restore_prev_pops[] = "time_dep_restore_prev_pops";
static const char __pyx_k_update_lte_atoms_Hmin_pops[] = "update_lte_atoms_Hmin_pops";
static const char __pyx_k_itemsize_0_for_cython_array[] = "itemsize <= 0 for cython.array";
static const char __pyx_k_set_pops_escape_probability[] = "set_pops_escape_probability";
static const char __pyx_k_get_fs_iter_scheme_properties[] = "get_fs_iter_scheme_properties";
static const char __pyx_k_unable_to_allocate_array_data[] = "unable to allocate array data.";
static const char __pyx_k_construct_from_state_dict_with[] = "construct_from_state_dict_with";
static const char __pyx_k_is_not_of_a_supported_type_got[] = " is not of a supported type, got ";
static const char __pyx_k_load_pops_rates_prd_from_state[] = "load_pops_rates_prd_from_state";
static const char __pyx_k_pyx_unpickle_BackgroundProvide[] = "__pyx_unpickle_BackgroundProvider";
static const char __pyx_k_pyx_unpickle_RayleighScatterer[] = "__pyx_unpickle_RayleighScatterer";
static const char __pyx_k_strided_and_direct_or_indirect[] = "<strided and direct or indirect>";
static const char __pyx_k_Dictionary_keys_for_ExtraParams[] = "Dictionary keys for ExtraParams must be str, got '";
static const char __pyx_k_Failed_to_load_iteration_scheme[] = "Failed to load iteration scheme from library at %s";
static const char __pyx_k_Shapes_of_B_gammaB_and_chiB_don[] = "Shapes of B, gammaB, and chiB don't match, verify that these are correctly set in the Atmosphere provided to Context. (B: ";
static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
static const char __pyx_k_self_ctx_cannot_be_converted_to[] = "self.ctx cannot be converted to a Python object for pickling";
static const char __pyx_k_Argument_is_not_a_BoundaryCondit[] = "Argument is not a BoundaryCondition.";
static const char __pyx_k_BC_returned_from_python_does_not[] = "BC returned from python does not match expected shape for ";
static const char __pyx_k_Buffer_view_does_not_expose_stri[] = "Buffer view does not expose strides";
static const char __pyx_k_Can_only_create_a_buffer_that_is[] = "Can only create a buffer that is contiguous in memory.";
static const char __pyx_k_Cannot_assign_to_read_only_memor[] = "Cannot assign to read-only memoryview";
static const char __pyx_k_Cannot_create_writable_memory_vi[] = "Cannot create writable memory view from read-only memoryview";
static const char __pyx_k_Empty_shape_tuple_for_cython_arr[] = "Empty shape tuple for cython.array";
static const char __pyx_k_Escape_probability_didn_t_conver[] = "Escape probability didn't converge for %s, setting LTE populations";
static const char __pyx_k_Failed_to_load_Formal_Solver_fro[] = "Failed to load Formal Solver from library at %s";
static const char __pyx_k_Failed_to_load_interpolation_fun[] = "Failed to load interpolation function from library at %s";
static const char __pyx_k_Incompatible_checksums_s_vs_0x72[] = "Incompatible checksums (%s vs 0x72ae082 = (C, atmos, atom, lambdaLimit, lambdaRed, lines, pops, sigmaE))";
static const char __pyx_k_Incompatible_checksums_s_vs_0xb0[] = "Incompatible checksums (%s vs 0xb068931 = (name))";
static const char __pyx_k_Incompatible_checksums_s_vs_0xd4[] = "Incompatible checksums (%s vs 0xd41d8cd = ())";
static const char __pyx_k_Indirect_dimensions_not_supporte[] = "Indirect dimensions not supported";
static const char __pyx_k_Invalid_mode_expected_c_or_fortr[] = "Invalid mode, expected 'c' or 'fortran', got %s";
static const char __pyx_k_One_of_the_quadrature_values_not[] = "One of the quadrature values not found, was .quadrature called on the Atmosphere object? (Caught: ";
static const char __pyx_k_Out_of_bounds_on_buffer_access_a[] = "Out of bounds on buffer access (axis %d)";
static const char __pyx_k_The_use_of_printUpdate_is_now_de[] = "The use of `printUpdate` is now deprecated, as this function no longer prints.";
static const char __pyx_k_Tried_to_load_a_pre_existing_pat[] = "Tried to load a pre-existing path";
static const char __pyx_k_Unable_to_convert_item_to_object[] = "Unable to convert item to object";
static const char __pyx_k_Unsupported_number_of_dimensions[] = "Unsupported number of dimensions on value associated with ";
static const char __pyx_k_Zero_radiation_InitialSolution_n[] = "Zero radiation InitialSolution not currently supported";
static const char __pyx_k_compute_phi_locals_default_voigt[] = "compute_phi.<locals>.default_voigt_callback";
static const char __pyx_k_got_differing_extents_in_dimensi[] = "got differing extents in dimension %d (got %d and %d)";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_only_contiguous_float64_and_int6[] = "only contiguous float64 and int64 are supported.";
static const char __pyx_k_self_atmos_cannot_be_converted_t[] = "self.atmos cannot be converted to a Python object for pickling";
static const char __pyx_k_self_atom_cannot_be_converted_to[] = "self.atom cannot be converted to a Python object for pickling";
static const char __pyx_k_self_background_cannot_be_conver[] = "self.background cannot be converted to a Python object for pickling";
static const char __pyx_k_self_depthData_cannot_be_convert[] = "self.depthData cannot be converted to a Python object for pickling";
static const char __pyx_k_self_manager_cannot_be_converted[] = "self.manager cannot be converted to a Python object for pickling";
static const char __pyx_k_self_spect_cannot_be_converted_t[] = "self.spect cannot be converted to a Python object for pickling";
static const char __pyx_k_self_trans_cannot_be_converted_t[] = "self.trans cannot be converted to a Python object for pickling";
static const char __pyx_k_self_zc_cannot_be_converted_to_a[] = "self.zc cannot be converted to a Python object for pickling";
static const char __pyx_k_unable_to_allocate_shape_and_str[] = "unable to allocate shape and strides.";
static const char __pyx_k_vlos_is_ambiguous_when_Ndim_1_us[] = "vlos is ambiguous when Ndim > 1, use vx, vy, or vz instead.";
static PyObject *__pyx_kp_u_;
static PyObject *__pyx_n_s_ASCII;
static PyObject *__pyx_n_s_Aji;
static PyObject *__pyx_kp_u_Argument_is_not_a_BoundaryCondit;
static PyObject *__pyx_n_s_AtomicLine;
static PyObject *__pyx_n_s_AttributeError;
static PyObject *__pyx_n_s_B;
static PyObject *__pyx_n_u_B;
static PyObject *__pyx_kp_u_BC_returned_from_python_does_not;
static PyObject *__pyx_n_s_BC_to_enum;
static PyObject *__pyx_n_s_BackgroundProvider;
static PyObject *__pyx_n_s_BasicBackground;
static PyObject *__pyx_n_s_Bij;
static PyObject *__pyx_n_s_Bji;
static PyObject *__pyx_n_s_BoundaryCondition;
static PyObject *__pyx_kp_s_Buffer_view_does_not_expose_stri;
static PyObject *__pyx_n_u_C;
static PyObject *__pyx_n_u_CH;
static PyObject *__pyx_n_s_CLight;
static PyObject *__pyx_kp_s_Can_only_create_a_buffer_that_is;
static PyObject *__pyx_kp_s_Cannot_assign_to_read_only_memor;
static PyObject *__pyx_kp_s_Cannot_create_writable_memory_vi;
static PyObject *__pyx_kp_s_Cannot_index_with_type_s;
static PyObject *__pyx_n_s_Const;
static PyObject *__pyx_n_u_Continuum;
static PyObject *__pyx_n_s_DeprecationWarning;
static PyObject *__pyx_kp_u_Dictionary_keys_for_ExtraParams;
static PyObject *__pyx_n_s_ERydberg;
static PyObject *__pyx_n_s_Ellipsis;
static PyObject *__pyx_kp_s_Empty_shape_tuple_for_cython_arr;
static PyObject *__pyx_n_s_Enum;
static PyObject *__pyx_n_s_Epsilon0;
static PyObject *__pyx_n_s_EscapeProbability;
static PyObject *__pyx_kp_u_Escape_probability_didn_t_conver;
static PyObject *__pyx_n_s_ExplodingMatrixError;
static PyObject *__pyx_kp_u_Failed_to_load_Formal_Solver_fro;
static PyObject *__pyx_kp_u_Failed_to_load_interpolation_fun;
static PyObject *__pyx_kp_u_Failed_to_load_iteration_scheme;
static PyObject *__pyx_n_s_FastBackground;
static PyObject *__pyx_n_u_FormalSolver1d;
static PyObject *__pyx_n_u_FormalSolver2d;
static PyObject *__pyx_n_s_FormalSolvers;
static PyObject *__pyx_n_s_FsIterationSchemes;
static PyObject *__pyx_n_u_Gamma;
static PyObject *__pyx_kp_u_Got_array_with_type;
static PyObject *__pyx_kp_u_H;
static PyObject *__pyx_n_u_H2;
static PyObject *__pyx_n_s_HC;
static PyObject *__pyx_n_s_HPlanck;
static PyObject *__pyx_n_u_H_2;
static PyObject *__pyx_n_u_He;
static PyObject *__pyx_n_u_I;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0x72;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xb0;
static PyObject *__pyx_kp_s_Incompatible_checksums_s_vs_0xd4;
static PyObject *__pyx_n_s_IndexError;
static PyObject *__pyx_kp_s_Indirect_dimensions_not_supporte;
static PyObject *__pyx_n_s_InitialSolution;
static PyObject *__pyx_n_s_InterpFns;
static PyObject *__pyx_kp_s_Invalid_mode_expected_c_or_fortr;
static PyObject *__pyx_kp_s_Invalid_shape_in_axis_d_d;
static PyObject *__pyx_kp_u_IterationScheme;
static PyObject *__pyx_kp_u_IterationScheme___SimdImpl;
static PyObject *__pyx_n_s_IterationUpdate;
static PyObject *__pyx_n_s_J;
static PyObject *__pyx_n_u_J;
static PyObject *__pyx_n_u_JRest;
static PyObject *__pyx_n_s_KBoltzmann;
static PyObject *__pyx_n_u_Line;
static PyObject *__pyx_n_s_LineProfileState;
static PyObject *__pyx_n_s_LineType;
static PyObject *__pyx_n_s_Lte;
static PyObject *__pyx_n_s_LwAtmosphere;
static PyObject *__pyx_n_s_LwAtom;
static PyObject *__pyx_n_s_LwBackground;
static PyObject *__pyx_n_s_LwContext;
static PyObject *__pyx_n_s_LwDepthData;
static PyObject *__pyx_n_s_LwFormalSolverManager;
static PyObject *__pyx_n_s_LwFsIterationManager;
static PyObject *__pyx_n_s_LwInterpFnManager;
static PyObject *__pyx_n_s_LwSpectrum;
static PyObject *__pyx_n_s_LwTransition;
static PyObject *__pyx_n_s_LwZeemanComponents;
static PyObject *__pyx_n_s_MElectron;
static PyObject *__pyx_n_s_MemoryError;
static PyObject *__pyx_kp_s_MemoryView_of_r_at_0x_x;
static PyObject *__pyx_kp_s_MemoryView_of_r_object;
static PyObject *__pyx_n_s_NM_TO_M;
static PyObject *__pyx_n_u_Nblue;
static PyObject *__pyx_n_s_Ndelay;
static PyObject *__pyx_n_s_Ndim;
static PyObject *__pyx_n_u_Ndim;
static PyObject *__pyx_n_u_Ng;
static PyObject *__pyx_n_s_Niter;
static PyObject *__pyx_n_s_Nlambda;
static PyObject *__pyx_n_s_Nmu;
static PyObject *__pyx_n_s_NoBc;
static PyObject *__pyx_kp_u_None;
static PyObject *__pyx_n_s_Norder;
static PyObject *__pyx_n_s_NotImplementedError;
static PyObject *__pyx_n_s_Noutgoing;
static PyObject *__pyx_n_s_Nperiod;
static PyObject *__pyx_n_s_NprdSubIter;
static PyObject *__pyx_n_s_Nrays;
static PyObject *__pyx_n_u_Nred;
static PyObject *__pyx_n_s_Nspace;
static PyObject *__pyx_n_s_Nthreads;
static PyObject *__pyx_n_u_Nthreads;
static PyObject *__pyx_n_u_Nwave;
static PyObject *__pyx_n_s_Nwavelengths;
static PyObject *__pyx_n_s_Nx;
static PyObject *__pyx_n_u_Nx;
static PyObject *__pyx_n_s_Ny;
static PyObject *__pyx_n_u_Ny;
static PyObject *__pyx_n_s_Nz;
static PyObject *__pyx_n_u_Nz;
static PyObject *__pyx_n_b_O;
static PyObject *__pyx_n_u_OH;
static PyObject *__pyx_kp_u_One_of_the_quadrature_values_not;
static PyObject *__pyx_kp_s_Out_of_bounds_on_buffer_access_a;
static PyObject *__pyx_n_s_PRD;
static PyObject *__pyx_n_s_PeriodicRadiation;
static PyObject *__pyx_n_s_PeriodicTable;
static PyObject *__pyx_n_s_PickleError;
static PyObject *__pyx_kp_u_Please_specify_B_field;
static PyObject *__pyx_n_s_QElectron;
static PyObject *__pyx_n_s_Qelast;
static PyObject *__pyx_n_u_Qelast;
static PyObject *__pyx_n_u_Quv;
static PyObject *__pyx_n_s_RayleighScatterer;
static PyObject *__pyx_n_u_Rij;
static PyObject *__pyx_n_u_Rji;
static PyObject *__pyx_kp_u_Shapes_of_B_gammaB_and_chiB_don;
static PyObject *__pyx_kp_u_Singular_Matrix;
static PyObject *__pyx_kp_s_Source_LwMiddleLayer_pyx;
static PyObject *__pyx_kp_u_The_use_of_printUpdate_is_now_de;
static PyObject *__pyx_n_s_ThermalisedRadiation;
static PyObject *__pyx_kp_u_Tried_to_load_a_pre_existing_pat;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_kp_u_UTF_8;
static PyObject *__pyx_n_s_Uji;
static PyObject *__pyx_kp_s_Unable_to_convert_item_to_object;
static PyObject *__pyx_kp_u_Unexpected_Ndim;
static PyObject *__pyx_n_s_UnityCrswIterator;
static PyObject *__pyx_kp_u_Unsupported_number_of_dimensions;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_kp_u_Value_for_key;
static PyObject *__pyx_n_s_View_MemoryView;
static PyObject *__pyx_n_s_Vij;
static PyObject *__pyx_n_s_Vji;
static PyObject *__pyx_n_s_Zero;
static PyObject *__pyx_n_s_ZeroRadiation;
static PyObject *__pyx_kp_u_Zero_radiation_InitialSolution_n;
static PyObject *__pyx_kp_u__5;
static PyObject *__pyx_kp_u__6;
static PyObject *__pyx_n_s__64;
static PyObject *__pyx_n_s_a;
static PyObject *__pyx_n_s_aDamp;
static PyObject *__pyx_n_u_aDamp;
static PyObject *__pyx_n_s_aDampView;
static PyObject *__pyx_n_u_active;
static PyObject *__pyx_n_s_activeAtoms;
static PyObject *__pyx_n_u_activeAtoms;
static PyObject *__pyx_n_s_activeTrans;
static PyObject *__pyx_n_s_activeWavelengths;
static PyObject *__pyx_n_s_all;
static PyObject *__pyx_n_s_allocate_buffer;
static PyObject *__pyx_n_s_alpha;
static PyObject *__pyx_n_u_alpha;
static PyObject *__pyx_n_s_any;
static PyObject *__pyx_n_s_append;
static PyObject *__pyx_n_s_argmax;
static PyObject *__pyx_n_s_args;
static PyObject *__pyx_n_s_array;
static PyObject *__pyx_n_s_asarray;
static PyObject *__pyx_n_s_astype;
static PyObject *__pyx_n_s_atmos;
static PyObject *__pyx_n_u_atmos;
static PyObject *__pyx_n_s_atmosphere;
static PyObject *__pyx_n_s_atom;
static PyObject *__pyx_n_u_atom;
static PyObject *__pyx_n_s_atomicModel;
static PyObject *__pyx_n_u_atomicModel;
static PyObject *__pyx_n_s_atomicPops;
static PyObject *__pyx_n_s_atomic_model;
static PyObject *__pyx_n_s_atomic_set;
static PyObject *__pyx_n_s_atomic_table;
static PyObject *__pyx_n_s_atoms;
static PyObject *__pyx_n_s_auto;
static PyObject *__pyx_n_s_axis;
static PyObject *__pyx_n_s_background;
static PyObject *__pyx_n_u_background;
static PyObject *__pyx_n_s_backgroundNe;
static PyObject *__pyx_n_s_backgroundProvider;
static PyObject *__pyx_n_u_backgroundProvider;
static PyObject *__pyx_n_s_base;
static PyObject *__pyx_n_s_bc;
static PyObject *__pyx_n_s_bf_opacities;
static PyObject *__pyx_n_s_bg;
static PyObject *__pyx_n_s_blueIdx;
static PyObject *__pyx_n_s_bool;
static PyObject *__pyx_n_s_c;
static PyObject *__pyx_n_u_c;
static PyObject *__pyx_n_u_chPops;
static PyObject *__pyx_n_s_check_shape_exception;
static PyObject *__pyx_n_s_chi;
static PyObject *__pyx_n_u_chi;
static PyObject *__pyx_n_s_chiB;
static PyObject *__pyx_n_u_chiB;
static PyObject *__pyx_kp_u_chiB_2;
static PyObject *__pyx_n_s_chiIn;
static PyObject *__pyx_n_s_chunkSize;
static PyObject *__pyx_n_s_class;
static PyObject *__pyx_n_s_clear_ng;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_collisions;
static PyObject *__pyx_n_s_compAtom;
static PyObject *__pyx_n_s_compute_background;
static PyObject *__pyx_n_s_compute_bc;
static PyObject *__pyx_n_s_compute_bcs;
static PyObject *__pyx_n_s_compute_collisions;
static PyObject *__pyx_n_s_compute_phi;
static PyObject *__pyx_n_s_compute_phi_locals_default_voigt;
static PyObject *__pyx_n_s_compute_polarised_profiles;
static PyObject *__pyx_n_s_compute_profiles;
static PyObject *__pyx_n_s_compute_rates;
static PyObject *__pyx_n_s_configure_bcs;
static PyObject *__pyx_n_s_conserveCharge;
static PyObject *__pyx_n_u_conserveCharge;
static PyObject *__pyx_n_s_construct_from_state_dict_with;
static PyObject *__pyx_kp_s_contiguous_and_direct;
static PyObject *__pyx_kp_s_contiguous_and_indirect;
static PyObject *__pyx_n_s_continua;
static PyObject *__pyx_n_s_copy;
static PyObject *__pyx_n_u_cos2chi;
static PyObject *__pyx_n_u_cosGamma;
static PyObject *__pyx_n_s_crsw;
static PyObject *__pyx_n_s_crswCallback;
static PyObject *__pyx_n_u_crswCallback;
static PyObject *__pyx_n_u_crswDone;
static PyObject *__pyx_n_s_ctx;
static PyObject *__pyx_n_u_d;
static PyObject *__pyx_n_s_dC;
static PyObject *__pyx_n_s_dJMax;
static PyObject *__pyx_n_s_dJMaxIdx;
static PyObject *__pyx_n_s_dJPrdMax;
static PyObject *__pyx_n_s_dJPrdMaxIdx;
static PyObject *__pyx_n_s_dNeMax;
static PyObject *__pyx_n_s_dNeMaxIdx;
static PyObject *__pyx_n_s_dPops;
static PyObject *__pyx_n_s_dPopsMaxIdx;
static PyObject *__pyx_n_s_dRho;
static PyObject *__pyx_n_s_dRhoMaxIdx;
static PyObject *__pyx_n_s_damping;
static PyObject *__pyx_n_s_deepcopy;
static PyObject *__pyx_n_u_defaultPerAtomStorage;
static PyObject *__pyx_n_u_defaultWlaGijStorage;
static PyObject *__pyx_n_s_default_formal_solver;
static PyObject *__pyx_n_s_default_interp;
static PyObject *__pyx_n_s_default_scheme;
static PyObject *__pyx_n_s_default_scheme_name;
static PyObject *__pyx_n_s_default_voigt_callback;
static PyObject *__pyx_n_u_depthData;
static PyObject *__pyx_n_s_detailed;
static PyObject *__pyx_n_u_detailed;
static PyObject *__pyx_n_s_detailedAtoms;
static PyObject *__pyx_n_u_detailedAtoms;
static PyObject *__pyx_n_s_dict;
static PyObject *__pyx_n_u_dimensionSpecific;
static PyObject *__pyx_n_s_dt;
static PyObject *__pyx_n_u_dt;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_dtype_is_object;
static PyObject *__pyx_n_s_element;
static PyObject *__pyx_n_s_encode;
static PyObject *__pyx_n_s_enum;
static PyObject *__pyx_n_s_enumerate;
static PyObject *__pyx_n_s_eqPops;
static PyObject *__pyx_n_u_eqPops;
static PyObject *__pyx_n_s_error;
static PyObject *__pyx_n_s_eta;
static PyObject *__pyx_n_u_eta;
static PyObject *__pyx_n_s_etaIn;
static PyObject *__pyx_kp_u_expected_one_of;
static PyObject *__pyx_n_s_extraParams;
static PyObject *__pyx_n_s_fill;
static PyObject *__pyx_n_u_fill;
static PyObject *__pyx_n_s_fillDiagonal;
static PyObject *__pyx_n_s_fixCollisionalRates;
static PyObject *__pyx_n_s_flags;
static PyObject *__pyx_n_s_float64;
static PyObject *__pyx_kp_u_for_key;
static PyObject *__pyx_kp_u_for_key_2;
static PyObject *__pyx_n_s_formalSolver;
static PyObject *__pyx_n_u_formalSolver;
static PyObject *__pyx_n_s_formal_sol;
static PyObject *__pyx_n_s_formal_sol_gamma_matrices;
static PyObject *__pyx_n_s_format;
static PyObject *__pyx_n_s_fortran;
static PyObject *__pyx_n_u_fortran;
static PyObject *__pyx_n_s_fromScratch;
static PyObject *__pyx_n_s_fsIterScheme;
static PyObject *__pyx_n_u_fsIterScheme;
static PyObject *__pyx_n_s_fsIterSchemeProperties;
static PyObject *__pyx_n_u_fsIterSchemeProperties;
static PyObject *__pyx_n_s_g;
static PyObject *__pyx_n_s_gammaB;
static PyObject *__pyx_n_u_gammaB;
static PyObject *__pyx_kp_u_gammaB_2;
static PyObject *__pyx_n_s_get_fs_iter_libs;
static PyObject *__pyx_n_s_get_fs_iter_scheme_properties;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_kp_u_got;
static PyObject *__pyx_kp_s_got_differing_extents_in_dimensi;
static PyObject *__pyx_n_u_h2Pops;
static PyObject *__pyx_n_u_hMinusPops;
static PyObject *__pyx_n_u_hPops;
static PyObject *__pyx_n_s_hprd;
static PyObject *__pyx_n_u_hprd;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_iLevel;
static PyObject *__pyx_n_s_id;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_inConstructor;
static PyObject *__pyx_n_s_index;
static PyObject *__pyx_n_s_indexVector;
static PyObject *__pyx_n_s_init;
static PyObject *__pyx_n_s_initSol;
static PyObject *__pyx_n_u_initSol;
static PyObject *__pyx_n_s_int64;
static PyObject *__pyx_n_s_int8;
static PyObject *__pyx_n_s_interp;
static PyObject *__pyx_n_s_interpFn;
static PyObject *__pyx_n_u_interpFn;
static PyObject *__pyx_n_s_interp_J_from_state;
static PyObject *__pyx_n_u_interp_linear_2d;
static PyObject *__pyx_kp_u_is_not_of_a_supported_type_got;
static PyObject *__pyx_n_s_items;
static PyObject *__pyx_n_s_itemsize;
static PyObject *__pyx_kp_s_itemsize_0_for_cython_array;
static PyObject *__pyx_n_s_iteration_update;
static PyObject *__pyx_n_s_j;
static PyObject *__pyx_n_s_jLevel;
static PyObject *__pyx_n_u_kwargs;
static PyObject *__pyx_n_s_la;
static PyObject *__pyx_n_s_lambda0;
static PyObject *__pyx_n_s_lambdaEdge;
static PyObject *__pyx_n_s_lambdaIterate;
static PyObject *__pyx_n_s_levels;
static PyObject *__pyx_n_s_lightweaver_LwCompiled;
static PyObject *__pyx_n_s_lightweaver_config;
static PyObject *__pyx_n_s_lightweaver_constants;
static PyObject *__pyx_n_s_lines;
static PyObject *__pyx_n_s_load_fns_from_path;
static PyObject *__pyx_n_s_load_pops_rates_prd_from_state;
static PyObject *__pyx_n_s_load_rates_prd_from_state;
static PyObject *__pyx_n_s_lte_pops;
static PyObject *__pyx_n_s_lwConfig;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_maxIter;
static PyObject *__pyx_kp_u_max_supported_is_4_got;
static PyObject *__pyx_n_s_memview;
static PyObject *__pyx_n_s_minLambda;
static PyObject *__pyx_n_s_mode;
static PyObject *__pyx_n_u_modelPops;
static PyObject *__pyx_n_s_mu;
static PyObject *__pyx_n_s_mus;
static PyObject *__pyx_n_s_mux;
static PyObject *__pyx_n_u_mux;
static PyObject *__pyx_n_s_muy;
static PyObject *__pyx_n_u_muy;
static PyObject *__pyx_n_s_muz;
static PyObject *__pyx_n_u_muz;
static PyObject *__pyx_n_s_n;
static PyObject *__pyx_n_u_n;
static PyObject *__pyx_n_s_nHTot;
static PyObject *__pyx_n_u_nHTot;
static PyObject *__pyx_n_u_nPrev;
static PyObject *__pyx_n_s_nStar;
static PyObject *__pyx_n_u_nStar;
static PyObject *__pyx_n_s_nTotal;
static PyObject *__pyx_n_u_nTotal;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_u_name;
static PyObject *__pyx_n_s_name_2;
static PyObject *__pyx_n_s_ndim;
static PyObject *__pyx_n_s_ne;
static PyObject *__pyx_n_u_ne;
static PyObject *__pyx_n_s_new;
static PyObject *__pyx_n_s_ngAccelerated;
static PyObject *__pyx_n_s_ngOptions;
static PyObject *__pyx_n_u_ngOptions;
static PyObject *__pyx_n_s_ngUpdate;
static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_nr_post_update;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_kp_u_numpy_core_multiarray_failed_to;
static PyObject *__pyx_kp_u_numpy_core_umath_failed_to_impor;
static PyObject *__pyx_n_s_obj;
static PyObject *__pyx_n_u_ohPops;
static PyObject *__pyx_n_s_ones;
static PyObject *__pyx_kp_u_only_contiguous_float64_and_int6;
static PyObject *__pyx_n_s_os;
static PyObject *__pyx_n_s_pack;
static PyObject *__pyx_n_s_params;
static PyObject *__pyx_n_s_passiveAtoms;
static PyObject *__pyx_n_s_phi;
static PyObject *__pyx_n_u_phi;
static PyObject *__pyx_n_s_phiQ;
static PyObject *__pyx_n_u_phiQ;
static PyObject *__pyx_n_u_phiU;
static PyObject *__pyx_n_u_phiV;
static PyObject *__pyx_n_s_pi;
static PyObject *__pyx_n_s_pickle;
static PyObject *__pyx_n_s_polarisable;
static PyObject *__pyx_n_s_polarised;
static PyObject *__pyx_n_u_polarised;
static PyObject *__pyx_n_s_pops;
static PyObject *__pyx_n_s_popsOnly;
static PyObject *__pyx_n_s_prd_redistribute;
static PyObject *__pyx_n_s_preserveProfiles;
static PyObject *__pyx_n_s_prevInitSol;
static PyObject *__pyx_n_s_prevSpect;
static PyObject *__pyx_n_s_prevState;
static PyObject *__pyx_n_s_prevTimePops;
static PyObject *__pyx_n_s_print;
static PyObject *__pyx_n_s_printUpdate;
static PyObject *__pyx_n_s_provider;
static PyObject *__pyx_n_u_provider;
static PyObject *__pyx_n_u_psiQ;
static PyObject *__pyx_n_u_psiU;
static PyObject *__pyx_n_u_psiV;
static PyObject *__pyx_n_u_pyAtmos;
static PyObject *__pyx_n_s_pyx_PickleError;
static PyObject *__pyx_n_s_pyx_checksum;
static PyObject *__pyx_n_s_pyx_getbuffer;
static PyObject *__pyx_n_s_pyx_result;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_type;
static PyObject *__pyx_n_s_pyx_unpickle_BackgroundProvide;
static PyObject *__pyx_n_s_pyx_unpickle_Enum;
static PyObject *__pyx_n_s_pyx_unpickle_RayleighScatterer;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_radSet;
static PyObject *__pyx_n_u_radSet;
static PyObject *__pyx_n_s_radiativeRates;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_rayleigh_scattering;
static PyObject *__pyx_n_s_rays;
static PyObject *__pyx_n_s_recompute;
static PyObject *__pyx_n_s_recompute_gII;
static PyObject *__pyx_n_s_reconstruct;
static PyObject *__pyx_n_s_redIdx;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_refinePrd;
static PyObject *__pyx_n_s_rel_diff_ng_accelerate;
static PyObject *__pyx_n_s_rel_diff_pops;
static PyObject *__pyx_n_u_respectsFormalSolver;
static PyObject *__pyx_n_s_returnCtx;
static PyObject *__pyx_n_u_rhoPrd;
static PyObject *__pyx_n_s_s;
static PyObject *__pyx_n_s_sca;
static PyObject *__pyx_n_u_sca;
static PyObject *__pyx_n_s_scaIn;
static PyObject *__pyx_n_s_scatter;
static PyObject *__pyx_n_s_scheme_properties;
static PyObject *__pyx_n_s_sd;
static PyObject *__pyx_kp_s_self_atmos_cannot_be_converted_t;
static PyObject *__pyx_kp_s_self_atom_cannot_be_converted_to;
static PyObject *__pyx_kp_s_self_background_cannot_be_conver;
static PyObject *__pyx_kp_s_self_ctx_cannot_be_converted_to;
static PyObject *__pyx_kp_s_self_depthData_cannot_be_convert;
static PyObject *__pyx_kp_s_self_manager_cannot_be_converted;
static PyObject *__pyx_kp_s_self_spect_cannot_be_converted_t;
static PyObject *__pyx_kp_s_self_trans_cannot_be_converted_t;
static PyObject *__pyx_kp_s_self_zc_cannot_be_converted_to_a;
static PyObject *__pyx_n_s_set_formal_solver;
static PyObject *__pyx_n_s_set_fs_iter_scheme;
static PyObject *__pyx_n_s_set_interp_fn;
static PyObject *__pyx_n_s_set_pops_escape_probability;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_setup_stokes;
static PyObject *__pyx_n_s_setup_wavelength;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_n_u_shape;
static PyObject *__pyx_n_s_shift;
static PyObject *__pyx_n_u_sin2chi;
static PyObject *__pyx_n_s_single_stokes_fs;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_n_s_spect;
static PyObject *__pyx_n_u_spect;
static PyObject *__pyx_n_s_sqrt;
static PyObject *__pyx_n_s_squeeze;
static PyObject *__pyx_n_s_stage;
static PyObject *__pyx_n_u_stages;
static PyObject *__pyx_n_s_start;
static PyObject *__pyx_n_s_stat_equil;
static PyObject *__pyx_n_s_state_dict;
static PyObject *__pyx_n_s_staticmethod;
static PyObject *__pyx_n_s_step;
static PyObject *__pyx_n_s_stokes;
static PyObject *__pyx_n_s_stop;
static PyObject *__pyx_n_s_strength;
static PyObject *__pyx_kp_s_strided_and_direct;
static PyObject *__pyx_kp_s_strided_and_direct_or_indirect;
static PyObject *__pyx_kp_s_strided_and_indirect;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_struct;
static PyObject *__pyx_n_s_structure;
static PyObject *__pyx_n_s_subset_configuration;
static PyObject *__pyx_n_s_sum;
static PyObject *__pyx_n_s_super;
static PyObject *__pyx_n_s_temperature;
static PyObject *__pyx_n_u_temperature;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_time;
static PyObject *__pyx_n_s_timeDependentData;
static PyObject *__pyx_n_s_time_dep_restore_prev_pops;
static PyObject *__pyx_n_s_time_dep_update;
static PyObject *__pyx_n_s_toObs;
static PyObject *__pyx_n_s_tol;
static PyObject *__pyx_n_s_trans;
static PyObject *__pyx_n_u_trans;
static PyObject *__pyx_n_s_transId;
static PyObject *__pyx_n_s_transModel;
static PyObject *__pyx_n_u_transModel;
static PyObject *__pyx_n_s_transWavelengths;
static PyObject *__pyx_n_s_transitions;
static PyObject *__pyx_n_s_type;
static PyObject *__pyx_n_u_type;
static PyObject *__pyx_kp_s_unable_to_allocate_array_data;
static PyObject *__pyx_kp_s_unable_to_allocate_shape_and_str;
static PyObject *__pyx_n_s_unpack;
static PyObject *__pyx_n_s_upOnly;
static PyObject *__pyx_n_s_update;
static PyObject *__pyx_n_s_updateBcs;
static PyObject *__pyx_n_s_updateJ;
static PyObject *__pyx_n_s_updateTotals;
static PyObject *__pyx_n_s_update_background;
static PyObject *__pyx_n_s_update_deps;
static PyObject *__pyx_n_s_update_hprd_coeffs;
static PyObject *__pyx_n_s_update_lte_atoms_Hmin_pops;
static PyObject *__pyx_n_s_update_projections;
static PyObject *__pyx_n_s_update_threads;
static PyObject *__pyx_n_s_updatedJ;
static PyObject *__pyx_n_s_updatedJPrd;
static PyObject *__pyx_n_s_updatedNe;
static PyObject *__pyx_n_s_updatedPops;
static PyObject *__pyx_n_s_updatedRho;
static PyObject *__pyx_n_s_utils;
static PyObject *__pyx_n_s_vBroad;
static PyObject *__pyx_n_u_vBroad;
static PyObject *__pyx_n_s_vBroadView;
static PyObject *__pyx_n_s_val;
static PyObject *__pyx_n_s_vlos;
static PyObject *__pyx_n_s_vlosMu;
static PyObject *__pyx_n_u_vlosMu;
static PyObject *__pyx_kp_u_vlos_is_ambiguous_when_Ndim_1_us;
static PyObject *__pyx_n_s_vturb;
static PyObject *__pyx_n_u_vturb;
static PyObject *__pyx_n_s_vx;
static PyObject *__pyx_n_u_vx;
static PyObject *__pyx_n_s_vy;
static PyObject *__pyx_n_u_vy;
static PyObject *__pyx_n_s_vz;
static PyObject *__pyx_n_u_vz;
static PyObject *__pyx_n_s_warn;
static PyObject *__pyx_n_s_warnings;
static PyObject *__pyx_n_s_wavelength;
static PyObject *__pyx_n_u_wavelength;
static PyObject *__pyx_n_s_wavelengthSubset;
static PyObject *__pyx_n_s_wavelengths;
static PyObject *__pyx_n_s_weno4;
static PyObject *__pyx_n_s_wmu;
static PyObject *__pyx_n_u_wmu;
static PyObject *__pyx_n_u_wphi;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_u_x;
static PyObject *__pyx_n_s_xLowerBc;
static PyObject *__pyx_n_u_xLowerBc;
static PyObject *__pyx_n_s_xUpperBc;
static PyObject *__pyx_n_u_xUpperBc;
static PyObject *__pyx_n_s_y;
static PyObject *__pyx_n_u_y;
static PyObject *__pyx_n_s_yLowerBc;
static PyObject *__pyx_n_u_yLowerBc;
static PyObject *__pyx_n_s_yUpperBc;
static PyObject *__pyx_n_u_yUpperBc;
static PyObject *__pyx_n_s_z;
static PyObject *__pyx_n_u_z;
static PyObject *__pyx_n_s_zLowerBc;
static PyObject *__pyx_n_u_zLowerBc;
static PyObject *__pyx_n_s_zUpperBc;
static PyObject *__pyx_n_u_zUpperBc;
static PyObject *__pyx_n_s_zeeman_components;
static PyObject *__pyx_n_s_zeros;
static int __pyx_pf_11lightweaver_10LwCompiled_11LwDepthData___init__(struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *__pyx_v_self, PyObject *__pyx_v_Nlambda, PyObject *__pyx_v_Nmu, PyObject *__pyx_v_Nspace); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_11LwDepthData_2__getstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_11LwDepthData_4__setstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *__pyx_v_self, PyObject *__pyx_v_s); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_11LwDepthData_4fill___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_11LwDepthData_4fill_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_11LwDepthData_3chi___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_11LwDepthData_3eta___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_11LwDepthData_1I___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_11LwDepthData_6__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_11LwDepthData_8__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_BC_to_enum(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_bc); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere___init__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self, PyObject *__pyx_v_atmos, PyObject *__pyx_v_Nwavelengths); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_2configure_bcs(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self, PyObject *__pyx_v_atmos); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_4compute_bcs(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *__pyx_v_spect); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_6update_projections(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_8__getstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_10__setstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_6Nspace___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_5Nrays___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_4Ndim___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_2Nx___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_2Ny___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_2Nz___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_1x___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_1y___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_1z___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_6height___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_11temperature___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_2ne___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_2vx___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_2vy___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_2vz___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_4vlos___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_6vlosMu___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_1B___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_6gammaB___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_4chiB___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_8cosGamma___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_7cos2chi___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_7sin2chi___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_5vturb___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_5nHTot___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_3muz___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_3muy___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_3mux___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_3wmu___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_7pyAtmos___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_7pyAtmos_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_7pyAtmos_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_12__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwAtmosphere_14__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_18BackgroundProvider___init__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_eqPops, CYTHON_UNUSED PyObject *__pyx_v_radSet, CYTHON_UNUSED PyObject *__pyx_v_wavelength); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_18BackgroundProvider_2compute_background(struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_atmos, PyObject *__pyx_v_chi, PyObject *__pyx_v_eta, PyObject *__pyx_v_sca); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_18BackgroundProvider_4__reduce_cython__(struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_18BackgroundProvider_6__setstate_cython__(struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_15BasicBackground___init__(struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *__pyx_v_self, PyObject *__pyx_v_eqPops, PyObject *__pyx_v_radSet, PyObject *__pyx_v_wavelength); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_15BasicBackground_2compute_background(struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_atmos, PyObject *__pyx_v_chiIn, PyObject *__pyx_v_etaIn, PyObject *__pyx_v_scaIn); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_15BasicBackground_4rayleigh_scattering(struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_atmos, __Pyx_memviewslice __pyx_v_sca); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_15BasicBackground_6bf_opacities(struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_atmos, __Pyx_memviewslice __pyx_v_chi, __Pyx_memviewslice __pyx_v_eta); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_15BasicBackground_8__getstate__(struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_15BasicBackground_10__setstate__(struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_15BasicBackground_12_reconstruct(PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_15BasicBackground_14__reduce__(struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_14FastBackground___init__(struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *__pyx_v_self, PyObject *__pyx_v_eqPops, PyObject *__pyx_v_radSet, PyObject *__pyx_v_wavelength, PyObject *__pyx_v_Nthreads); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_14FastBackground_2compute_background(struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_atmos, PyObject *__pyx_v_chiIn, PyObject *__pyx_v_etaIn, PyObject *__pyx_v_scaIn); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_14FastBackground_4__getstate__(struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_14FastBackground_6__setstate__(struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_14FastBackground_8_reconstruct(PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_14FastBackground_10__reduce__(struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_12LwBackground___init__(struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *__pyx_v_self, PyObject *__pyx_v_atmosphere, PyObject *__pyx_v_eqPops, PyObject *__pyx_v_radSet, PyObject *__pyx_v_wavelength, PyObject *__pyx_v_provider); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwBackground_2update_background(struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_atmos); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwBackground_4__getstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwBackground_6__setstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwBackground_3chi___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwBackground_3eta___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwBackground_3sca___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwBackground_8__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwBackground_10__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_17RayleighScatterer___init__(struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *__pyx_v_self, PyObject *__pyx_v_atmos, PyObject *__pyx_v_atom, PyObject *__pyx_v_pops); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_17RayleighScatterer_2scatter(struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *__pyx_v_self, __pyx_t_8CmoArray_f64 __pyx_v_wavelength, __Pyx_memviewslice __pyx_v_sca); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_17RayleighScatterer_4__reduce_cython__(struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_17RayleighScatterer_6__setstate_cython__(struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *__pyx_v_self, PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_12LwTransition___init__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self, PyObject *__pyx_v_trans, PyObject *__pyx_v_compAtom, PyObject *__pyx_v_atmos, PyObject *__pyx_v_spect); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_2__getstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_4__setstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_6load_rates_prd_from_state(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self, PyObject *__pyx_v_prevState, PyObject *__pyx_v_preserveProfiles); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_11compute_phi_default_voigt_callback(PyObject *__pyx_self, __Pyx_memviewslice __pyx_v_aDamp, __Pyx_memviewslice __pyx_v_vBroad); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_8compute_phi(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_10compute_polarised_profiles(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_12recompute_gII(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_14uv(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self, int __pyx_v_la, int __pyx_v_mu, bool __pyx_v_toObs, __Pyx_memviewslice __pyx_v_Uji, __Pyx_memviewslice __pyx_v_Vij, __Pyx_memviewslice __pyx_v_Vji); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_6jLevel___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_6iLevel___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_1j___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_1i___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_3Aji___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_3Bji___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_3Bij___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_5Nblue___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_7lambda0___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_4wphi___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_3phi___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_4phiQ___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_4phiU___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_4phiV___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_4psiQ___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_4psiU___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_4psiV___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_3Rij___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_3Rji___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_6rhoPrd___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_5alpha___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_10wavelength___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_6active___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_6Qelast___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_5aDamp___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_11polarisable___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_4type___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_10transModel___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_12LwTransition_10transModel_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_12LwTransition_10transModel_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_4atom___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_12LwTransition_4atom_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_12LwTransition_4atom_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_16__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_12LwTransition_18__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_18LwZeemanComponents___init__(struct __pyx_obj_11lightweaver_10LwCompiled_LwZeemanComponents *__pyx_v_self, PyObject *__pyx_v_z); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_18LwZeemanComponents_2__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwZeemanComponents *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_18LwZeemanComponents_4__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwZeemanComponents *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_6LwAtom___init__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self, PyObject *__pyx_v_atom, PyObject *__pyx_v_atmos, PyObject *__pyx_v_eqPops, PyObject *__pyx_v_spect, PyObject *__pyx_v_background, PyObject *__pyx_v_detailed, PyObject *__pyx_v_initSol, PyObject *__pyx_v_ngOptions, PyObject *__pyx_v_conserveCharge, PyObject *__pyx_v_fsIterSchemeProperties); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_2__getstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_4__setstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_6load_pops_rates_prd_from_state(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self, PyObject *__pyx_v_prevState, PyObject *__pyx_v_popsOnly, PyObject *__pyx_v_preserveProfiles); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_8compute_collisions(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self, PyObject *__pyx_v_fillDiagonal); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_10set_pops_escape_probability(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self, struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *__pyx_v_a, struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *__pyx_v_bg, PyObject *__pyx_v_conserveCharge, int __pyx_v_Niter); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_12setup_wavelength(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self, int __pyx_v_la); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_14compute_profiles(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self, PyObject *__pyx_v_polarised); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_6Nlevel___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_6Ntrans___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_6vBroad___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_5Gamma___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_1C___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_6nTotal___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_1n___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_5nStar___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_6stages___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_5trans___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_7element___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_11atomicModel___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_6LwAtom_11atomicModel_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_6LwAtom_11atomicModel_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_9modelPops___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_6LwAtom_9modelPops_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_6LwAtom_9modelPops_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_16__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_6LwAtom_18__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_10LwSpectrum___init__(struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *__pyx_v_self, PyObject *__pyx_v_wavelength, PyObject *__pyx_v_Nrays, PyObject *__pyx_v_Nspace, PyObject *__pyx_v_Noutgoing); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_10LwSpectrum_2setup_stokes(struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_10LwSpectrum_4__getstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_10LwSpectrum_6__setstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_10LwSpectrum_8interp_J_from_state(struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *__pyx_v_self, PyObject *__pyx_v_prevSpect); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_10LwSpectrum_10wavelength___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_10LwSpectrum_1I___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_10LwSpectrum_1J___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_10LwSpectrum_3Quv___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_10LwSpectrum_10__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_10LwSpectrum_12__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_9LwContext___init__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_atmos, PyObject *__pyx_v_spect, PyObject *__pyx_v_eqPops, PyObject *__pyx_v_ngOptions, PyObject *__pyx_v_initSol, PyObject *__pyx_v_conserveCharge, PyObject *__pyx_v_hprd, PyObject *__pyx_v_crswCallback, PyObject *__pyx_v_Nthreads, PyObject *__pyx_v_backgroundProvider, PyObject *__pyx_v_formalSolver, PyObject *__pyx_v_interpFn, PyObject *__pyx_v_fsIterScheme); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_2__getstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_4__setstate__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_state); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_6set_formal_solver(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_formalSolver, PyObject *__pyx_v_inConstructor); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_8set_interp_fn(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_interpFn); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_10set_fs_iter_scheme(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_fsIterScheme); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_12get_fs_iter_scheme_properties(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_fsIterScheme); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_8Nthreads___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_9LwContext_8Nthreads_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_4hprd___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_14update_threads(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_16compute_profiles(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_polarised); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_18formal_sol_gamma_matrices(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_fixCollisionalRates, PyObject *__pyx_v_lambdaIterate, PyObject *__pyx_v_printUpdate); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_20formal_sol(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_upOnly); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_22update_deps(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_temperature, PyObject *__pyx_v_ne, PyObject *__pyx_v_vturb, PyObject *__pyx_v_vlos, PyObject *__pyx_v_B, PyObject *__pyx_v_background, PyObject *__pyx_v_hprd); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_24rel_diff_pops(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_printUpdate); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_26rel_diff_ng_accelerate(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_printUpdate); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_28time_dep_update(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, __pyx_t_8CmoArray_f64 __pyx_v_dt, PyObject *__pyx_v_prevTimePops, PyObject *__pyx_v_ngUpdate, PyObject *__pyx_v_printUpdate, int __pyx_v_chunkSize); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_30time_dep_restore_prev_pops(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_prevTimePops); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_32clear_ng(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_34stat_equil(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_printUpdate, int __pyx_v_chunkSize); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_36_nr_post_update_impl(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_atoms, PyObject *__pyx_v_dC, __Pyx_memviewslice __pyx_v_backgroundNe, PyObject *__pyx_v_timeDependentData, CYTHON_UNUSED int __pyx_v_chunkSize); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_38update_projections(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_40setup_stokes(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_recompute); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_42single_stokes_fs(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_recompute, PyObject *__pyx_v_updateJ, PyObject *__pyx_v_upOnly, PyObject *__pyx_v_extraParams); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_44prd_redistribute(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, int __pyx_v_maxIter, __pyx_t_8CmoArray_f64 __pyx_v_tol, PyObject *__pyx_v_printUpdate); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_46update_hprd_coeffs(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_11activeAtoms___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_13detailedAtoms___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_5spect___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_5atmos___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_10background___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_9depthData___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_48state_dict(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_50construct_from_state_dict_with(PyObject *__pyx_v_sd, PyObject *__pyx_v_atmos, PyObject *__pyx_v_spect, PyObject *__pyx_v_eqPops, PyObject *__pyx_v_ngOptions, PyObject *__pyx_v_initSol, PyObject *__pyx_v_conserveCharge, PyObject *__pyx_v_hprd, PyObject *__pyx_v_preserveProfiles, PyObject *__pyx_v_fromScratch, PyObject *__pyx_v_backgroundProvider); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_52compute_rays(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_wavelengths, PyObject *__pyx_v_mus, PyObject *__pyx_v_stokes, PyObject *__pyx_v_updateBcs, PyObject *__pyx_v_upOnly, PyObject *__pyx_v_returnCtx, PyObject *__pyx_v_refinePrd, PyObject *__pyx_v_squeeze); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_6kwargs___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_9LwContext_6kwargs_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_9LwContext_6kwargs_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_6eqPops___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_9LwContext_6eqPops_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_9LwContext_6eqPops_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_14conserveCharge___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_9LwContext_14conserveCharge_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_12crswCallback___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_9LwContext_12crswCallback_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_9LwContext_12crswCallback_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_8crswDone___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_9LwContext_8crswDone_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_9LwContext_8crswDone_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_54__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_9LwContext_56__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_21LwFormalSolverManager___init__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_21LwFormalSolverManager_2load_fs_from_path(struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *__pyx_v_self, PyObject *__pyx_v_path); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_21LwFormalSolverManager_4default_formal_solver(struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *__pyx_v_self, PyObject *__pyx_v_Ndim); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_21LwFormalSolverManager_5paths___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_21LwFormalSolverManager_5paths_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_21LwFormalSolverManager_5paths_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_21LwFormalSolverManager_5names___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_21LwFormalSolverManager_5names_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_21LwFormalSolverManager_5names_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_21LwFormalSolverManager_6__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_21LwFormalSolverManager_8__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_17LwInterpFnManager___init__(struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_17LwInterpFnManager_2load_interp_fn_from_path(struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *__pyx_v_self, PyObject *__pyx_v_path); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_17LwInterpFnManager_4default_interp(struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *__pyx_v_self, PyObject *__pyx_v_Ndim); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_17LwInterpFnManager_5paths___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_17LwInterpFnManager_5paths_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_17LwInterpFnManager_5paths_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_17LwInterpFnManager_5names___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_17LwInterpFnManager_5names_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_17LwInterpFnManager_5names_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_17LwInterpFnManager_6__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_17LwInterpFnManager_8__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_20LwFsIterationManager___init__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_20LwFsIterationManager_2load_fns_from_path(struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *__pyx_v_self, PyObject *__pyx_v_path); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_20LwFsIterationManager_4scheme_properties(struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_20LwFsIterationManager_6default_scheme(struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_20LwFsIterationManager_8default_scheme_name(struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_20LwFsIterationManager_5paths___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_20LwFsIterationManager_5paths_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_20LwFsIterationManager_5paths_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_20LwFsIterationManager_5names___get__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *__pyx_v_self); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_20LwFsIterationManager_5names_2__set__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static int __pyx_pf_11lightweaver_10LwCompiled_20LwFsIterationManager_5names_4__del__(struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_20LwFsIterationManager_10__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_20LwFsIterationManager_12__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_11lightweaver_10LwCompiled_2__pyx_unpickle_BackgroundProvider(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v___pyx_type, long __pyx_v___pyx_checksum, PyObject *__pyx_v___pyx_state); /* proto */
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static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array___cinit__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_shape, Py_ssize_t __pyx_v_itemsize, PyObject *__pyx_v_format, PyObject *__pyx_v_mode, int __pyx_v_allocate_buffer); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_2__getbuffer__(struct __pyx_array_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_array___pyx_pf_15View_dot_MemoryView_5array_4__dealloc__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_5array_7memview___get__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static Py_ssize_t __pyx_array___pyx_pf_15View_dot_MemoryView_5array_6__len__(struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_8__getattr__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_attr); /* proto */
static PyObject *__pyx_array___pyx_pf_15View_dot_MemoryView_5array_10__getitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item); /* proto */
static int __pyx_array___pyx_pf_15View_dot_MemoryView_5array_12__setitem__(struct __pyx_array_obj *__pyx_v_self, PyObject *__pyx_v_item, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf___pyx_array___reduce_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf___pyx_array_2__setstate_cython__(CYTHON_UNUSED struct __pyx_array_obj *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum___init__(struct __pyx_MemviewEnum_obj *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_MemviewEnum___pyx_pf_15View_dot_MemoryView_4Enum_2__repr__(struct __pyx_MemviewEnum_obj *__pyx_v_self); /* proto */
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static int __pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_8__getbuffer__(struct __pyx_memoryview_obj *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
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static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4base___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_5shape___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_7strides___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_10suboffsets___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_15View_dot_MemoryView_10memoryview_4ndim___get__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
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static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_12__repr__(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
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static PyObject *__pyx_memoryview___pyx_pf_15View_dot_MemoryView_10memoryview_18is_f_contig(struct __pyx_memoryview_obj *__pyx_v_self); /* proto */
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/* Late includes */

/* "Source/CmoArrayHelper.pyx":4
 * from CmoArrayHelper cimport f64
 * 
 * cdef F64View f64_view(f64[::1] memview) except +:             # <<<<<<<<<<<<<<
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 * 
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/* "Source/CmoArrayHelper.pyx":12
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 * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
 *         __Pyx_memviewslice *dst,
 *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
 */

static int __pyx_memoryview_slice_memviewslice(__Pyx_memviewslice *__pyx_v_dst, Py_ssize_t __pyx_v_shape, Py_ssize_t __pyx_v_stride, Py_ssize_t __pyx_v_suboffset, int __pyx_v_dim, int __pyx_v_new_ndim, int *__pyx_v_suboffset_dim, Py_ssize_t __pyx_v_start, Py_ssize_t __pyx_v_stop, Py_ssize_t __pyx_v_step, int __pyx_v_have_start, int __pyx_v_have_stop, int __pyx_v_have_step, int __pyx_v_is_slice) {
  Py_ssize_t __pyx_v_new_shape;
  int __pyx_v_negative_step;
  int __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;

  /* "View.MemoryView":827
 *     cdef bint negative_step
 * 
 *     if not is_slice:             # <<<<<<<<<<<<<<
 * 
 *         if start < 0:
 */
  __pyx_t_1 = ((!(__pyx_v_is_slice != 0)) != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":829
 *     if not is_slice:
 * 
 *         if start < 0:             # <<<<<<<<<<<<<<
 *             start += shape
 *         if not 0 <= start < shape:
 */
    __pyx_t_1 = ((__pyx_v_start < 0) != 0);
    if (__pyx_t_1) {

      /* "View.MemoryView":830
 * 
 *         if start < 0:
 *             start += shape             # <<<<<<<<<<<<<<
 *         if not 0 <= start < shape:
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
 */
      __pyx_v_start = (__pyx_v_start + __pyx_v_shape);

      /* "View.MemoryView":829
 *     if not is_slice:
 * 
 *         if start < 0:             # <<<<<<<<<<<<<<
 *             start += shape
 *         if not 0 <= start < shape:
 */
    }

    /* "View.MemoryView":831
 *         if start < 0:
 *             start += shape
 *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
 *     else:
 */
    __pyx_t_1 = (0 <= __pyx_v_start);
    if (__pyx_t_1) {
      __pyx_t_1 = (__pyx_v_start < __pyx_v_shape);
    }
    __pyx_t_2 = ((!(__pyx_t_1 != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":832
 *             start += shape
 *         if not 0 <= start < shape:
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)             # <<<<<<<<<<<<<<
 *     else:
 * 
 */
      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"Index out of bounds (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(2, 832, __pyx_L1_error)

      /* "View.MemoryView":831
 *         if start < 0:
 *             start += shape
 *         if not 0 <= start < shape:             # <<<<<<<<<<<<<<
 *             _err_dim(IndexError, "Index out of bounds (axis %d)", dim)
 *     else:
 */
    }

    /* "View.MemoryView":827
 *     cdef bint negative_step
 * 
 *     if not is_slice:             # <<<<<<<<<<<<<<
 * 
 *         if start < 0:
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":835
 *     else:
 * 
 *         negative_step = have_step != 0 and step < 0             # <<<<<<<<<<<<<<
 * 
 *         if have_step and step == 0:
 */
  /*else*/ {
    __pyx_t_1 = ((__pyx_v_have_step != 0) != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_2 = __pyx_t_1;
      goto __pyx_L6_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_step < 0) != 0);
    __pyx_t_2 = __pyx_t_1;
    __pyx_L6_bool_binop_done:;
    __pyx_v_negative_step = __pyx_t_2;

    /* "View.MemoryView":837
 *         negative_step = have_step != 0 and step < 0
 * 
 *         if have_step and step == 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
 * 
 */
    __pyx_t_1 = (__pyx_v_have_step != 0);
    if (__pyx_t_1) {
    } else {
      __pyx_t_2 = __pyx_t_1;
      goto __pyx_L9_bool_binop_done;
    }
    __pyx_t_1 = ((__pyx_v_step == 0) != 0);
    __pyx_t_2 = __pyx_t_1;
    __pyx_L9_bool_binop_done:;
    if (__pyx_t_2) {

      /* "View.MemoryView":838
 * 
 *         if have_step and step == 0:
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_ValueError, ((char *)"Step may not be zero (axis %d)"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(2, 838, __pyx_L1_error)

      /* "View.MemoryView":837
 *         negative_step = have_step != 0 and step < 0
 * 
 *         if have_step and step == 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Step may not be zero (axis %d)", dim)
 * 
 */
    }

    /* "View.MemoryView":841
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
    __pyx_t_2 = (__pyx_v_have_start != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":842
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
      __pyx_t_2 = ((__pyx_v_start < 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":843
 *         if have_start:
 *             if start < 0:
 *                 start += shape             # <<<<<<<<<<<<<<
 *                 if start < 0:
 *                     start = 0
 */
        __pyx_v_start = (__pyx_v_start + __pyx_v_shape);

        /* "View.MemoryView":844
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
 */
        __pyx_t_2 = ((__pyx_v_start < 0) != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":845
 *                 start += shape
 *                 if start < 0:
 *                     start = 0             # <<<<<<<<<<<<<<
 *             elif start >= shape:
 *                 if negative_step:
 */
          __pyx_v_start = 0;

          /* "View.MemoryView":844
 *             if start < 0:
 *                 start += shape
 *                 if start < 0:             # <<<<<<<<<<<<<<
 *                     start = 0
 *             elif start >= shape:
 */
        }

        /* "View.MemoryView":842
 * 
 *         if have_start:
 *             if start < 0:             # <<<<<<<<<<<<<<
 *                 start += shape
 *                 if start < 0:
 */
        goto __pyx_L12;
      }

      /* "View.MemoryView":846
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      __pyx_t_2 = ((__pyx_v_start >= __pyx_v_shape) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":847
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
        __pyx_t_2 = (__pyx_v_negative_step != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":848
 *             elif start >= shape:
 *                 if negative_step:
 *                     start = shape - 1             # <<<<<<<<<<<<<<
 *                 else:
 *                     start = shape
 */
          __pyx_v_start = (__pyx_v_shape - 1);

          /* "View.MemoryView":847
 *                     start = 0
 *             elif start >= shape:
 *                 if negative_step:             # <<<<<<<<<<<<<<
 *                     start = shape - 1
 *                 else:
 */
          goto __pyx_L14;
        }

        /* "View.MemoryView":850
 *                     start = shape - 1
 *                 else:
 *                     start = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        /*else*/ {
          __pyx_v_start = __pyx_v_shape;
        }
        __pyx_L14:;

        /* "View.MemoryView":846
 *                 if start < 0:
 *                     start = 0
 *             elif start >= shape:             # <<<<<<<<<<<<<<
 *                 if negative_step:
 *                     start = shape - 1
 */
      }
      __pyx_L12:;

      /* "View.MemoryView":841
 * 
 * 
 *         if have_start:             # <<<<<<<<<<<<<<
 *             if start < 0:
 *                 start += shape
 */
      goto __pyx_L11;
    }

    /* "View.MemoryView":852
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
    /*else*/ {
      __pyx_t_2 = (__pyx_v_negative_step != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":853
 *         else:
 *             if negative_step:
 *                 start = shape - 1             # <<<<<<<<<<<<<<
 *             else:
 *                 start = 0
 */
        __pyx_v_start = (__pyx_v_shape - 1);

        /* "View.MemoryView":852
 *                     start = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 start = shape - 1
 *             else:
 */
        goto __pyx_L15;
      }

      /* "View.MemoryView":855
 *                 start = shape - 1
 *             else:
 *                 start = 0             # <<<<<<<<<<<<<<
 * 
 *         if have_stop:
 */
      /*else*/ {
        __pyx_v_start = 0;
      }
      __pyx_L15:;
    }
    __pyx_L11:;

    /* "View.MemoryView":857
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
    __pyx_t_2 = (__pyx_v_have_stop != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":858
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
 */
      __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":859
 *         if have_stop:
 *             if stop < 0:
 *                 stop += shape             # <<<<<<<<<<<<<<
 *                 if stop < 0:
 *                     stop = 0
 */
        __pyx_v_stop = (__pyx_v_stop + __pyx_v_shape);

        /* "View.MemoryView":860
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
 */
        __pyx_t_2 = ((__pyx_v_stop < 0) != 0);
        if (__pyx_t_2) {

          /* "View.MemoryView":861
 *                 stop += shape
 *                 if stop < 0:
 *                     stop = 0             # <<<<<<<<<<<<<<
 *             elif stop > shape:
 *                 stop = shape
 */
          __pyx_v_stop = 0;

          /* "View.MemoryView":860
 *             if stop < 0:
 *                 stop += shape
 *                 if stop < 0:             # <<<<<<<<<<<<<<
 *                     stop = 0
 *             elif stop > shape:
 */
        }

        /* "View.MemoryView":858
 * 
 *         if have_stop:
 *             if stop < 0:             # <<<<<<<<<<<<<<
 *                 stop += shape
 *                 if stop < 0:
 */
        goto __pyx_L17;
      }

      /* "View.MemoryView":862
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
 */
      __pyx_t_2 = ((__pyx_v_stop > __pyx_v_shape) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":863
 *                     stop = 0
 *             elif stop > shape:
 *                 stop = shape             # <<<<<<<<<<<<<<
 *         else:
 *             if negative_step:
 */
        __pyx_v_stop = __pyx_v_shape;

        /* "View.MemoryView":862
 *                 if stop < 0:
 *                     stop = 0
 *             elif stop > shape:             # <<<<<<<<<<<<<<
 *                 stop = shape
 *         else:
 */
      }
      __pyx_L17:;

      /* "View.MemoryView":857
 *                 start = 0
 * 
 *         if have_stop:             # <<<<<<<<<<<<<<
 *             if stop < 0:
 *                 stop += shape
 */
      goto __pyx_L16;
    }

    /* "View.MemoryView":865
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
    /*else*/ {
      __pyx_t_2 = (__pyx_v_negative_step != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":866
 *         else:
 *             if negative_step:
 *                 stop = -1             # <<<<<<<<<<<<<<
 *             else:
 *                 stop = shape
 */
        __pyx_v_stop = -1L;

        /* "View.MemoryView":865
 *                 stop = shape
 *         else:
 *             if negative_step:             # <<<<<<<<<<<<<<
 *                 stop = -1
 *             else:
 */
        goto __pyx_L19;
      }

      /* "View.MemoryView":868
 *                 stop = -1
 *             else:
 *                 stop = shape             # <<<<<<<<<<<<<<
 * 
 *         if not have_step:
 */
      /*else*/ {
        __pyx_v_stop = __pyx_v_shape;
      }
      __pyx_L19:;
    }
    __pyx_L16:;

    /* "View.MemoryView":870
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
 * 
 */
    __pyx_t_2 = ((!(__pyx_v_have_step != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":871
 * 
 *         if not have_step:
 *             step = 1             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_step = 1;

      /* "View.MemoryView":870
 *                 stop = shape
 * 
 *         if not have_step:             # <<<<<<<<<<<<<<
 *             step = 1
 * 
 */
    }

    /* "View.MemoryView":875
 * 
 *         with cython.cdivision(True):
 *             new_shape = (stop - start) // step             # <<<<<<<<<<<<<<
 * 
 *             if (stop - start) - step * new_shape:
 */
    __pyx_v_new_shape = ((__pyx_v_stop - __pyx_v_start) / __pyx_v_step);

    /* "View.MemoryView":877
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
 */
    __pyx_t_2 = (((__pyx_v_stop - __pyx_v_start) - (__pyx_v_step * __pyx_v_new_shape)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":878
 * 
 *             if (stop - start) - step * new_shape:
 *                 new_shape += 1             # <<<<<<<<<<<<<<
 * 
 *         if new_shape < 0:
 */
      __pyx_v_new_shape = (__pyx_v_new_shape + 1);

      /* "View.MemoryView":877
 *             new_shape = (stop - start) // step
 * 
 *             if (stop - start) - step * new_shape:             # <<<<<<<<<<<<<<
 *                 new_shape += 1
 * 
 */
    }

    /* "View.MemoryView":880
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    __pyx_t_2 = ((__pyx_v_new_shape < 0) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":881
 * 
 *         if new_shape < 0:
 *             new_shape = 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
      __pyx_v_new_shape = 0;

      /* "View.MemoryView":880
 *                 new_shape += 1
 * 
 *         if new_shape < 0:             # <<<<<<<<<<<<<<
 *             new_shape = 0
 * 
 */
    }

    /* "View.MemoryView":884
 * 
 * 
 *         dst.strides[new_ndim] = stride * step             # <<<<<<<<<<<<<<
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset
 */
    (__pyx_v_dst->strides[__pyx_v_new_ndim]) = (__pyx_v_stride * __pyx_v_step);

    /* "View.MemoryView":885
 * 
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape             # <<<<<<<<<<<<<<
 *         dst.suboffsets[new_ndim] = suboffset
 * 
 */
    (__pyx_v_dst->shape[__pyx_v_new_ndim]) = __pyx_v_new_shape;

    /* "View.MemoryView":886
 *         dst.strides[new_ndim] = stride * step
 *         dst.shape[new_ndim] = new_shape
 *         dst.suboffsets[new_ndim] = suboffset             # <<<<<<<<<<<<<<
 * 
 * 
 */
    (__pyx_v_dst->suboffsets[__pyx_v_new_ndim]) = __pyx_v_suboffset;
  }
  __pyx_L3:;

  /* "View.MemoryView":889
 * 
 * 
 *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
 *         dst.data += start * stride
 *     else:
 */
  __pyx_t_2 = (((__pyx_v_suboffset_dim[0]) < 0) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":890
 * 
 *     if suboffset_dim[0] < 0:
 *         dst.data += start * stride             # <<<<<<<<<<<<<<
 *     else:
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 */
    __pyx_v_dst->data = (__pyx_v_dst->data + (__pyx_v_start * __pyx_v_stride));

    /* "View.MemoryView":889
 * 
 * 
 *     if suboffset_dim[0] < 0:             # <<<<<<<<<<<<<<
 *         dst.data += start * stride
 *     else:
 */
    goto __pyx_L23;
  }

  /* "View.MemoryView":892
 *         dst.data += start * stride
 *     else:
 *         dst.suboffsets[suboffset_dim[0]] += start * stride             # <<<<<<<<<<<<<<
 * 
 *     if suboffset >= 0:
 */
  /*else*/ {
    __pyx_t_3 = (__pyx_v_suboffset_dim[0]);
    (__pyx_v_dst->suboffsets[__pyx_t_3]) = ((__pyx_v_dst->suboffsets[__pyx_t_3]) + (__pyx_v_start * __pyx_v_stride));
  }
  __pyx_L23:;

  /* "View.MemoryView":894
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 * 
 *     if suboffset >= 0:             # <<<<<<<<<<<<<<
 *         if not is_slice:
 *             if new_ndim == 0:
 */
  __pyx_t_2 = ((__pyx_v_suboffset >= 0) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":895
 * 
 *     if suboffset >= 0:
 *         if not is_slice:             # <<<<<<<<<<<<<<
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 */
    __pyx_t_2 = ((!(__pyx_v_is_slice != 0)) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":896
 *     if suboffset >= 0:
 *         if not is_slice:
 *             if new_ndim == 0:             # <<<<<<<<<<<<<<
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 */
      __pyx_t_2 = ((__pyx_v_new_ndim == 0) != 0);
      if (__pyx_t_2) {

        /* "View.MemoryView":897
 *         if not is_slice:
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset             # <<<<<<<<<<<<<<
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
 */
        __pyx_v_dst->data = ((((char **)__pyx_v_dst->data)[0]) + __pyx_v_suboffset);

        /* "View.MemoryView":896
 *     if suboffset >= 0:
 *         if not is_slice:
 *             if new_ndim == 0:             # <<<<<<<<<<<<<<
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 */
        goto __pyx_L26;
      }

      /* "View.MemoryView":899
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "             # <<<<<<<<<<<<<<
 *                                      "must be indexed and not sliced", dim)
 *         else:
 */
      /*else*/ {

        /* "View.MemoryView":900
 *             else:
 *                 _err_dim(IndexError, "All dimensions preceding dimension %d "
 *                                      "must be indexed and not sliced", dim)             # <<<<<<<<<<<<<<
 *         else:
 *             suboffset_dim[0] = new_ndim
 */
        __pyx_t_3 = __pyx_memoryview_err_dim(__pyx_builtin_IndexError, ((char *)"All dimensions preceding dimension %d must be indexed and not sliced"), __pyx_v_dim); if (unlikely(__pyx_t_3 == ((int)-1))) __PYX_ERR(2, 899, __pyx_L1_error)
      }
      __pyx_L26:;

      /* "View.MemoryView":895
 * 
 *     if suboffset >= 0:
 *         if not is_slice:             # <<<<<<<<<<<<<<
 *             if new_ndim == 0:
 *                 dst.data = (<char **> dst.data)[0] + suboffset
 */
      goto __pyx_L25;
    }

    /* "View.MemoryView":902
 *                                      "must be indexed and not sliced", dim)
 *         else:
 *             suboffset_dim[0] = new_ndim             # <<<<<<<<<<<<<<
 * 
 *     return 0
 */
    /*else*/ {
      (__pyx_v_suboffset_dim[0]) = __pyx_v_new_ndim;
    }
    __pyx_L25:;

    /* "View.MemoryView":894
 *         dst.suboffsets[suboffset_dim[0]] += start * stride
 * 
 *     if suboffset >= 0:             # <<<<<<<<<<<<<<
 *         if not is_slice:
 *             if new_ndim == 0:
 */
  }

  /* "View.MemoryView":904
 *             suboffset_dim[0] = new_ndim
 * 
 *     return 0             # <<<<<<<<<<<<<<
 * 
 * 
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "View.MemoryView":807
 * 
 * @cname('__pyx_memoryview_slice_memviewslice')
 * cdef int slice_memviewslice(             # <<<<<<<<<<<<<<
 *         __Pyx_memviewslice *dst,
 *         Py_ssize_t shape, Py_ssize_t stride, Py_ssize_t suboffset,
 */

  /* function exit code */
  __pyx_L1_error:;
  {
    #ifdef WITH_THREAD
    PyGILState_STATE __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
    #endif
    __Pyx_AddTraceback("View.MemoryView.slice_memviewslice", __pyx_clineno, __pyx_lineno, __pyx_filename);
    #ifdef WITH_THREAD
    __Pyx_PyGILState_Release(__pyx_gilstate_save);
    #endif
  }
  __pyx_r = -1;
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":910
 * 
 * @cname('__pyx_pybuffer_index')
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 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:
 *     if arg < 0:
 *         return -arg             # <<<<<<<<<<<<<<
 *     else:
 *         return arg
 */
    __pyx_r = (-__pyx_v_arg);
    goto __pyx_L0;

    /* "View.MemoryView":1110
 * 
 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:
 *     if arg < 0:             # <<<<<<<<<<<<<<
 *         return -arg
 *     else:
 */
  }

  /* "View.MemoryView":1113
 *         return -arg
 *     else:
 *         return arg             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_get_best_slice_order')
 */
  /*else*/ {
    __pyx_r = __pyx_v_arg;
    goto __pyx_L0;
  }

  /* "View.MemoryView":1109
 * 
 * 
 * cdef Py_ssize_t abs_py_ssize_t(Py_ssize_t arg) nogil:             # <<<<<<<<<<<<<<
 *     if arg < 0:
 *         return -arg
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1116
 * 
 * @cname('__pyx_get_best_slice_order')
 * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Figure out the best memory access order for a given slice.
 */

static char __pyx_get_best_slice_order(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim) {
  int __pyx_v_i;
  Py_ssize_t __pyx_v_c_stride;
  Py_ssize_t __pyx_v_f_stride;
  char __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "View.MemoryView":1121
 *     """
 *     cdef int i
 *     cdef Py_ssize_t c_stride = 0             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t f_stride = 0
 * 
 */
  __pyx_v_c_stride = 0;

  /* "View.MemoryView":1122
 *     cdef int i
 *     cdef Py_ssize_t c_stride = 0
 *     cdef Py_ssize_t f_stride = 0             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim - 1, -1, -1):
 */
  __pyx_v_f_stride = 0;

  /* "View.MemoryView":1124
 *     cdef Py_ssize_t f_stride = 0
 * 
 *     for i in range(ndim - 1, -1, -1):             # <<<<<<<<<<<<<<
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]
 */
  for (__pyx_t_1 = (__pyx_v_ndim - 1); __pyx_t_1 > -1; __pyx_t_1-=1) {
    __pyx_v_i = __pyx_t_1;

    /* "View.MemoryView":1125
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             c_stride = mslice.strides[i]
 *             break
 */
    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1126
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
 *             break
 * 
 */
      __pyx_v_c_stride = (__pyx_v_mslice->strides[__pyx_v_i]);

      /* "View.MemoryView":1127
 *         if mslice.shape[i] > 1:
 *             c_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
 */
      goto __pyx_L4_break;

      /* "View.MemoryView":1125
 * 
 *     for i in range(ndim - 1, -1, -1):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             c_stride = mslice.strides[i]
 *             break
 */
    }
  }
  __pyx_L4_break:;

  /* "View.MemoryView":1129
 *             break
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 */
  __pyx_t_1 = __pyx_v_ndim;
  __pyx_t_3 = __pyx_t_1;
  for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
    __pyx_v_i = __pyx_t_4;

    /* "View.MemoryView":1130
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
 */
    __pyx_t_2 = (((__pyx_v_mslice->shape[__pyx_v_i]) > 1) != 0);
    if (__pyx_t_2) {

      /* "View.MemoryView":1131
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]             # <<<<<<<<<<<<<<
 *             break
 * 
 */
      __pyx_v_f_stride = (__pyx_v_mslice->strides[__pyx_v_i]);

      /* "View.MemoryView":1132
 *         if mslice.shape[i] > 1:
 *             f_stride = mslice.strides[i]
 *             break             # <<<<<<<<<<<<<<
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 */
      goto __pyx_L7_break;

      /* "View.MemoryView":1130
 * 
 *     for i in range(ndim):
 *         if mslice.shape[i] > 1:             # <<<<<<<<<<<<<<
 *             f_stride = mslice.strides[i]
 *             break
 */
    }
  }
  __pyx_L7_break:;

  /* "View.MemoryView":1134
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
 */
  __pyx_t_2 = ((abs_py_ssize_t(__pyx_v_c_stride) <= abs_py_ssize_t(__pyx_v_f_stride)) != 0);
  if (__pyx_t_2) {

    /* "View.MemoryView":1135
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):
 *         return 'C'             # <<<<<<<<<<<<<<
 *     else:
 *         return 'F'
 */
    __pyx_r = 'C';
    goto __pyx_L0;

    /* "View.MemoryView":1134
 *             break
 * 
 *     if abs_py_ssize_t(c_stride) <= abs_py_ssize_t(f_stride):             # <<<<<<<<<<<<<<
 *         return 'C'
 *     else:
 */
  }

  /* "View.MemoryView":1137
 *         return 'C'
 *     else:
 *         return 'F'             # <<<<<<<<<<<<<<
 * 
 * @cython.cdivision(True)
 */
  /*else*/ {
    __pyx_r = 'F';
    goto __pyx_L0;
  }

  /* "View.MemoryView":1116
 * 
 * @cname('__pyx_get_best_slice_order')
 * cdef char get_best_order(__Pyx_memviewslice *mslice, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     """
 *     Figure out the best memory access order for a given slice.
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1140
 * 
 * @cython.cdivision(True)
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
 *                                    char *dst_data, Py_ssize_t *dst_strides,
 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
 */

static void _copy_strided_to_strided(char *__pyx_v_src_data, Py_ssize_t *__pyx_v_src_strides, char *__pyx_v_dst_data, Py_ssize_t *__pyx_v_dst_strides, Py_ssize_t *__pyx_v_src_shape, Py_ssize_t *__pyx_v_dst_shape, int __pyx_v_ndim, size_t __pyx_v_itemsize) {
  CYTHON_UNUSED Py_ssize_t __pyx_v_i;
  CYTHON_UNUSED Py_ssize_t __pyx_v_src_extent;
  Py_ssize_t __pyx_v_dst_extent;
  Py_ssize_t __pyx_v_src_stride;
  Py_ssize_t __pyx_v_dst_stride;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  Py_ssize_t __pyx_t_4;
  Py_ssize_t __pyx_t_5;
  Py_ssize_t __pyx_t_6;

  /* "View.MemoryView":1147
 * 
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 */
  __pyx_v_src_extent = (__pyx_v_src_shape[0]);

  /* "View.MemoryView":1148
 *     cdef Py_ssize_t i
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 */
  __pyx_v_dst_extent = (__pyx_v_dst_shape[0]);

  /* "View.MemoryView":1149
 *     cdef Py_ssize_t src_extent = src_shape[0]
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]             # <<<<<<<<<<<<<<
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 */
  __pyx_v_src_stride = (__pyx_v_src_strides[0]);

  /* "View.MemoryView":1150
 *     cdef Py_ssize_t dst_extent = dst_shape[0]
 *     cdef Py_ssize_t src_stride = src_strides[0]
 *     cdef Py_ssize_t dst_stride = dst_strides[0]             # <<<<<<<<<<<<<<
 * 
 *     if ndim == 1:
 */
  __pyx_v_dst_stride = (__pyx_v_dst_strides[0]);

  /* "View.MemoryView":1152
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 */
  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1153
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    __pyx_t_2 = ((__pyx_v_src_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }
    __pyx_t_2 = ((__pyx_v_dst_stride > 0) != 0);
    if (__pyx_t_2) {
    } else {
      __pyx_t_1 = __pyx_t_2;
      goto __pyx_L5_bool_binop_done;
    }

    /* "View.MemoryView":1154
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):             # <<<<<<<<<<<<<<
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 *        else:
 */
    __pyx_t_2 = (((size_t)__pyx_v_src_stride) == __pyx_v_itemsize);
    if (__pyx_t_2) {
      __pyx_t_2 = (__pyx_v_itemsize == ((size_t)__pyx_v_dst_stride));
    }
    __pyx_t_3 = (__pyx_t_2 != 0);
    __pyx_t_1 = __pyx_t_3;
    __pyx_L5_bool_binop_done:;

    /* "View.MemoryView":1153
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
    if (__pyx_t_1) {

      /* "View.MemoryView":1155
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)             # <<<<<<<<<<<<<<
 *        else:
 *            for i in range(dst_extent):
 */
      (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, (__pyx_v_itemsize * __pyx_v_dst_extent)));

      /* "View.MemoryView":1153
 * 
 *     if ndim == 1:
 *        if (src_stride > 0 and dst_stride > 0 and             # <<<<<<<<<<<<<<
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 */
      goto __pyx_L4;
    }

    /* "View.MemoryView":1157
 *            memcpy(dst_data, src_data, itemsize * dst_extent)
 *        else:
 *            for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride
 */
    /*else*/ {
      __pyx_t_4 = __pyx_v_dst_extent;
      __pyx_t_5 = __pyx_t_4;
      for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
        __pyx_v_i = __pyx_t_6;

        /* "View.MemoryView":1158
 *        else:
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)             # <<<<<<<<<<<<<<
 *                src_data += src_stride
 *                dst_data += dst_stride
 */
        (void)(memcpy(__pyx_v_dst_data, __pyx_v_src_data, __pyx_v_itemsize));

        /* "View.MemoryView":1159
 *            for i in range(dst_extent):
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride             # <<<<<<<<<<<<<<
 *                dst_data += dst_stride
 *     else:
 */
        __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

        /* "View.MemoryView":1160
 *                memcpy(dst_data, src_data, itemsize)
 *                src_data += src_stride
 *                dst_data += dst_stride             # <<<<<<<<<<<<<<
 *     else:
 *         for i in range(dst_extent):
 */
        __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
      }
    }
    __pyx_L4:;

    /* "View.MemoryView":1152
 *     cdef Py_ssize_t dst_stride = dst_strides[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *        if (src_stride > 0 and dst_stride > 0 and
 *            <size_t> src_stride == itemsize == <size_t> dst_stride):
 */
    goto __pyx_L3;
  }

  /* "View.MemoryView":1162
 *                dst_data += dst_stride
 *     else:
 *         for i in range(dst_extent):             # <<<<<<<<<<<<<<
 *             _copy_strided_to_strided(src_data, src_strides + 1,
 *                                      dst_data, dst_strides + 1,
 */
  /*else*/ {
    __pyx_t_4 = __pyx_v_dst_extent;
    __pyx_t_5 = __pyx_t_4;
    for (__pyx_t_6 = 0; __pyx_t_6 < __pyx_t_5; __pyx_t_6+=1) {
      __pyx_v_i = __pyx_t_6;

      /* "View.MemoryView":1163
 *     else:
 *         for i in range(dst_extent):
 *             _copy_strided_to_strided(src_data, src_strides + 1,             # <<<<<<<<<<<<<<
 *                                      dst_data, dst_strides + 1,
 *                                      src_shape + 1, dst_shape + 1,
 */
      _copy_strided_to_strided(__pyx_v_src_data, (__pyx_v_src_strides + 1), __pyx_v_dst_data, (__pyx_v_dst_strides + 1), (__pyx_v_src_shape + 1), (__pyx_v_dst_shape + 1), (__pyx_v_ndim - 1), __pyx_v_itemsize);

      /* "View.MemoryView":1167
 *                                      src_shape + 1, dst_shape + 1,
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride             # <<<<<<<<<<<<<<
 *             dst_data += dst_stride
 * 
 */
      __pyx_v_src_data = (__pyx_v_src_data + __pyx_v_src_stride);

      /* "View.MemoryView":1168
 *                                      ndim - 1, itemsize)
 *             src_data += src_stride
 *             dst_data += dst_stride             # <<<<<<<<<<<<<<
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,
 */
      __pyx_v_dst_data = (__pyx_v_dst_data + __pyx_v_dst_stride);
    }
  }
  __pyx_L3:;

  /* "View.MemoryView":1140
 * 
 * @cython.cdivision(True)
 * cdef void _copy_strided_to_strided(char *src_data, Py_ssize_t *src_strides,             # <<<<<<<<<<<<<<
 *                                    char *dst_data, Py_ssize_t *dst_strides,
 *                                    Py_ssize_t *src_shape, Py_ssize_t *dst_shape,
 */

  /* function exit code */
}

/* "View.MemoryView":1170
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

static void copy_strided_to_strided(__Pyx_memviewslice *__pyx_v_src, __Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize) {

  /* "View.MemoryView":1173
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 *     _copy_strided_to_strided(src.data, src.strides, dst.data, dst.strides,             # <<<<<<<<<<<<<<
 *                              src.shape, dst.shape, ndim, itemsize)
 * 
 */
  _copy_strided_to_strided(__pyx_v_src->data, __pyx_v_src->strides, __pyx_v_dst->data, __pyx_v_dst->strides, __pyx_v_src->shape, __pyx_v_dst->shape, __pyx_v_ndim, __pyx_v_itemsize);

  /* "View.MemoryView":1170
 *             dst_data += dst_stride
 * 
 * cdef void copy_strided_to_strided(__Pyx_memviewslice *src,             # <<<<<<<<<<<<<<
 *                                   __Pyx_memviewslice *dst,
 *                                   int ndim, size_t itemsize) nogil:
 */

  /* function exit code */
}

/* "View.MemoryView":1177
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 */

static Py_ssize_t __pyx_memoryview_slice_get_size(__Pyx_memviewslice *__pyx_v_src, int __pyx_v_ndim) {
  Py_ssize_t __pyx_v_shape;
  Py_ssize_t __pyx_v_size;
  Py_ssize_t __pyx_r;
  Py_ssize_t __pyx_t_1;
  Py_ssize_t *__pyx_t_2;
  Py_ssize_t *__pyx_t_3;
  Py_ssize_t *__pyx_t_4;

  /* "View.MemoryView":1179
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 * 
 *     for shape in src.shape[:ndim]:
 */
  __pyx_t_1 = __pyx_v_src->memview->view.itemsize;
  __pyx_v_size = __pyx_t_1;

  /* "View.MemoryView":1181
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 * 
 *     for shape in src.shape[:ndim]:             # <<<<<<<<<<<<<<
 *         size *= shape
 * 
 */
  __pyx_t_3 = (__pyx_v_src->shape + __pyx_v_ndim);
  for (__pyx_t_4 = __pyx_v_src->shape; __pyx_t_4 < __pyx_t_3; __pyx_t_4++) {
    __pyx_t_2 = __pyx_t_4;
    __pyx_v_shape = (__pyx_t_2[0]);

    /* "View.MemoryView":1182
 * 
 *     for shape in src.shape[:ndim]:
 *         size *= shape             # <<<<<<<<<<<<<<
 * 
 *     return size
 */
    __pyx_v_size = (__pyx_v_size * __pyx_v_shape);
  }

  /* "View.MemoryView":1184
 *         size *= shape
 * 
 *     return size             # <<<<<<<<<<<<<<
 * 
 * @cname('__pyx_fill_contig_strides_array')
 */
  __pyx_r = __pyx_v_size;
  goto __pyx_L0;

  /* "View.MemoryView":1177
 * 
 * @cname('__pyx_memoryview_slice_get_size')
 * cdef Py_ssize_t slice_get_size(__Pyx_memviewslice *src, int ndim) nogil:             # <<<<<<<<<<<<<<
 *     "Return the size of the memory occupied by the slice in number of bytes"
 *     cdef Py_ssize_t shape, size = src.memview.view.itemsize
 */

  /* function exit code */
  __pyx_L0:;
  return __pyx_r;
}

/* "View.MemoryView":1187
 * 
 * @cname('__pyx_fill_contig_strides_array')
 * cdef Py_ssize_t fill_contig_strides_array(             # <<<<<<<<<<<<<<
 *                 Py_ssize_t *shape, Py_ssize_t *strides, Py_ssize_t stride,
 *                 int ndim, char order) nogil:
 */

static Py_ssize_t __pyx_fill_contig_strides_array(Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, Py_ssize_t __pyx_v_stride, int __pyx_v_ndim, char __pyx_v_order) {
  int __pyx_v_idx;
  Py_ssize_t __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "View.MemoryView":1196
 *     cdef int idx
 * 
 *     if order == 'F':             # <<<<<<<<<<<<<<
 *         for idx in range(ndim):
 *             strides[idx] = stride
 */
  __pyx_t_1 = ((__pyx_v_order == 'F') != 0);
  if (__pyx_t_1) {

    /* "View.MemoryView":1197
 * 
 *     if order == 'F':
 *         for idx in range(ndim):             # <<<<<<<<<<<<<<
 *             strides[idx] = stride
 *             stride *= shape[idx]
 */
    __pyx_t_2 = __pyx_v_ndim;
    __pyx_t_3 = __pyx_t_2;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_idx = __pyx_t_4;

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 *                                   __Pyx_memviewslice dst,
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static int __pyx_memoryview_copy_contents(__Pyx_memviewslice __pyx_v_src, __Pyx_memviewslice __pyx_v_dst, int __pyx_v_src_ndim, int __pyx_v_dst_ndim, int __pyx_v_dtype_is_object) {
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  int __pyx_v_broadcasting;
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  int __pyx_t_3;
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 *     cdef int i
 */
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  /* "View.MemoryView":1277
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 *     cdef void *tmpdata = NULL
 *     cdef size_t itemsize = src.memview.view.itemsize             # <<<<<<<<<<<<<<
 *     cdef int i
 *     cdef char order = get_best_order(&src, src_ndim)
 */
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 *     cdef int i
 *     cdef char order = get_best_order(&src, src_ndim)             # <<<<<<<<<<<<<<
 *     cdef bint broadcasting = False
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 */
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 *     cdef bint broadcasting = False             # <<<<<<<<<<<<<<
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 */
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 *     cdef char order = get_best_order(&src, src_ndim)
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 *     cdef __Pyx_memviewslice tmp
 * 
 */
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 * 
 *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
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 * 
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 */
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 *     cdef __Pyx_memviewslice tmp
 * 
 *     if src_ndim < dst_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&src, src_ndim, dst_ndim)
 *     elif dst_ndim < src_ndim:
 */
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 *     if src_ndim < dst_ndim:
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 *     elif dst_ndim < src_ndim:             # <<<<<<<<<<<<<<
 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
 */
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 *         broadcast_leading(&src, src_ndim, dst_ndim)
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 *         broadcast_leading(&dst, dst_ndim, src_ndim)             # <<<<<<<<<<<<<<
 * 
 *     cdef int ndim = max(src_ndim, dst_ndim)
 */
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 *     if src_ndim < dst_ndim:
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 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
 */
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 *         broadcast_leading(&dst, dst_ndim, src_ndim)
 * 
 *     cdef int ndim = max(src_ndim, dst_ndim)             # <<<<<<<<<<<<<<
 * 
 *     for i in range(ndim):
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 *     cdef int ndim = max(src_ndim, dst_ndim)
 * 
 *     for i in range(ndim):             # <<<<<<<<<<<<<<
 *         if src.shape[i] != dst.shape[i]:
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 */
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 * 
 *     for i in range(ndim):
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 *             if src.shape[i] == 1:
 *                 broadcasting = True
 */
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 *     for i in range(ndim):
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 *                 broadcasting = True
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        /* "View.MemoryView":1294
 *         if src.shape[i] != dst.shape[i]:
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 *                 src.strides[i] = 0
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 */
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 *             else:
 *                 _err_extents(i, dst.shape[i], src.shape[i])
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 *     for i in range(ndim):
 *         if src.shape[i] != dst.shape[i]:
 *             if src.shape[i] == 1:             # <<<<<<<<<<<<<<
 *                 broadcasting = True
 *                 src.strides[i] = 0
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 *                 src.strides[i] = 0
 *             else:
 *                 _err_extents(i, dst.shape[i], src.shape[i])             # <<<<<<<<<<<<<<
 * 
 *         if src.suboffsets[i] >= 0:
 */
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        __pyx_t_6 = __pyx_memoryview_err_extents(__pyx_v_i, (__pyx_v_dst.shape[__pyx_v_i]), (__pyx_v_src.shape[__pyx_v_i])); if (unlikely(__pyx_t_6 == ((int)-1))) __PYX_ERR(2, 1297, __pyx_L1_error)
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      /* "View.MemoryView":1292
 * 
 *     for i in range(ndim):
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 *             if src.shape[i] == 1:
 *                 broadcasting = True
 */
    }

    /* "View.MemoryView":1299
 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 */
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 * 
 *         if src.suboffsets[i] >= 0:
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 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 */
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 *                 _err_extents(i, dst.shape[i], src.shape[i])
 * 
 *         if src.suboffsets[i] >= 0:             # <<<<<<<<<<<<<<
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 */
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  /* "View.MemoryView":1302
 *             _err_dim(ValueError, "Dimension %d is not direct", i)
 * 
 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(src, order, ndim):
 */
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    /* "View.MemoryView":1304
 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
 */
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      /* "View.MemoryView":1305
 * 
 *         if not slice_is_contig(src, order, ndim):
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 * 
 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
 */
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 *     if slices_overlap(&src, &dst, ndim, itemsize):
 * 
 *         if not slice_is_contig(src, order, ndim):             # <<<<<<<<<<<<<<
 *             order = get_best_order(&dst, ndim)
 * 
 */
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 * 
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 *         src = tmp
 * 
 */
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 *         tmpdata = copy_data_to_temp(&src, &tmp, order, ndim)
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 *     if not broadcasting:
 */
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 *     if slices_overlap(&src, &dst, ndim, itemsize):             # <<<<<<<<<<<<<<
 * 
 *         if not slice_is_contig(src, order, ndim):
 */
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 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
 */
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 * 
 * 
 *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 */
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 * 
 *         if slice_is_contig(src, 'C', ndim):
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 *         elif slice_is_contig(src, 'F', ndim):
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 * 
 * 
 *         if slice_is_contig(src, 'C', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
 *         elif slice_is_contig(src, 'F', ndim):
 */
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 *         if slice_is_contig(src, 'C', ndim):
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 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 */
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      /* "View.MemoryView":1316
 *             direct_copy = slice_is_contig(dst, 'C', ndim)
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 * 
 *         if direct_copy:
 */
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 *         if slice_is_contig(src, 'C', ndim):
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 *         elif slice_is_contig(src, 'F', ndim):             # <<<<<<<<<<<<<<
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 */
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 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 */
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      /* "View.MemoryView":1320
 *         if direct_copy:
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 */
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 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
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 *             free(tmpdata)
 */
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 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)             # <<<<<<<<<<<<<<
 *             free(tmpdata)
 *             return 0
 */
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 *             memcpy(dst.data, src.data, slice_get_size(&src, ndim))
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)             # <<<<<<<<<<<<<<
 *             return 0
 * 
 */
      free(__pyx_v_tmpdata);

      /* "View.MemoryView":1324
 *             refcount_copying(&dst, dtype_is_object, ndim, True)
 *             free(tmpdata)
 *             return 0             # <<<<<<<<<<<<<<
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):
 */
      __pyx_r = 0;
      goto __pyx_L0;

      /* "View.MemoryView":1318
 *             direct_copy = slice_is_contig(dst, 'F', ndim)
 * 
 *         if direct_copy:             # <<<<<<<<<<<<<<
 * 
 *             refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    }

    /* "View.MemoryView":1310
 *         src = tmp
 * 
 *     if not broadcasting:             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1326
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
 */
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  if (__pyx_t_2) {
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  }
  __pyx_t_8 = (__pyx_t_2 != 0);
  if (__pyx_t_8) {

    /* "View.MemoryView":1329
 * 
 * 
 *         transpose_memslice(&src)             # <<<<<<<<<<<<<<
 *         transpose_memslice(&dst)
 * 
 */
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_src)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(2, 1329, __pyx_L1_error)

    /* "View.MemoryView":1330
 * 
 *         transpose_memslice(&src)
 *         transpose_memslice(&dst)             # <<<<<<<<<<<<<<
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)
 */
    __pyx_t_5 = __pyx_memslice_transpose((&__pyx_v_dst)); if (unlikely(__pyx_t_5 == ((int)0))) __PYX_ERR(2, 1330, __pyx_L1_error)

    /* "View.MemoryView":1326
 *             return 0
 * 
 *     if order == 'F' == get_best_order(&dst, ndim):             # <<<<<<<<<<<<<<
 * 
 * 
 */
  }

  /* "View.MemoryView":1332
 *         transpose_memslice(&dst)
 * 
 *     refcount_copying(&dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
 *     copy_strided_to_strided(&src, &dst, ndim, itemsize)
 *     refcount_copying(&dst, dtype_is_object, ndim, True)
 */
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 * 
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 *     refcount_copying(&dst, dtype_is_object, ndim, True)
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 */
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 *     free(tmpdata)
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 *     free(tmpdata)             # <<<<<<<<<<<<<<
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 *     free(tmpdata)
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  /* "View.MemoryView":1268
 * 
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 * cdef void broadcast_leading(__Pyx_memviewslice *mslice,             # <<<<<<<<<<<<<<
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static void __pyx_memoryview_broadcast_leading(__Pyx_memviewslice *__pyx_v_mslice, int __pyx_v_ndim, int __pyx_v_ndim_other) {
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 *     for i in range(ndim - 1, -1, -1):
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 * 
 *     for i in range(ndim - 1, -1, -1):
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 *     for i in range(ndim - 1, -1, -1):
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 *         mslice.shape[i + offset] = mslice.shape[i]
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 * 
 *     for i in range(offset):
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 *         mslice.suboffsets[i + offset] = mslice.suboffsets[i]
 * 
 *     for i in range(offset):             # <<<<<<<<<<<<<<
 *         mslice.shape[i] = 1
 *         mslice.strides[i] = mslice.strides[0]
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 * 
 *     for i in range(offset):
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 *         mslice.strides[i] = mslice.strides[0]
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 *     for i in range(offset):
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 *         mslice.suboffsets[i] = -1
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 */
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 * 
 */
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/* "View.MemoryView":1362
 * 
 * @cname('__pyx_memoryview_refcount_copying')
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 *                            int ndim, bint inc) nogil:
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 * 
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 * 
 * 
 *     if dtype_is_object:             # <<<<<<<<<<<<<<
 *         refcount_objects_in_slice_with_gil(dst.data, dst.shape,
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 * 
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 *                            int ndim, bint inc) nogil:
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/* "View.MemoryView":1371
 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')
 * cdef void refcount_objects_in_slice_with_gil(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
 *                                              Py_ssize_t *strides, int ndim,
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 * @cname('__pyx_memoryview_refcount_objects_in_slice')
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 * @cname('__pyx_memoryview_refcount_objects_in_slice_with_gil')
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 *                                     Py_ssize_t *strides, int ndim, bint inc):
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 *                 Py_INCREF((<PyObject **> data)[0])
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 *                 Py_DECREF((<PyObject **> data)[0])
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 *                 Py_INCREF((<PyObject **> data)[0])
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    /* "View.MemoryView":1388
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 */
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 *         else:
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 *         data += strides[0]
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 * 
 *         data += strides[0]             # <<<<<<<<<<<<<<
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 * 
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 * 
 * @cname('__pyx_memoryview_refcount_objects_in_slice')
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/* "View.MemoryView":1397
 * 
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 *                               size_t itemsize, void *item,
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static void __pyx_memoryview_slice_assign_scalar(__Pyx_memviewslice *__pyx_v_dst, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item, int __pyx_v_dtype_is_object) {

  /* "View.MemoryView":1400
 *                               size_t itemsize, void *item,
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 *     refcount_copying(dst, dtype_is_object, ndim, False)             # <<<<<<<<<<<<<<
 *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim,
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 */
  __pyx_memoryview_refcount_copying(__pyx_v_dst, __pyx_v_dtype_is_object, __pyx_v_ndim, 0);

  /* "View.MemoryView":1401
 *                               bint dtype_is_object) nogil:
 *     refcount_copying(dst, dtype_is_object, ndim, False)
 *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim,             # <<<<<<<<<<<<<<
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  /* "View.MemoryView":1403
 *     _slice_assign_scalar(dst.data, dst.shape, dst.strides, ndim,
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 * 
 * 
 */
  __pyx_memoryview_refcount_copying(__pyx_v_dst, __pyx_v_dtype_is_object, __pyx_v_ndim, 1);

  /* "View.MemoryView":1397
 * 
 * @cname('__pyx_memoryview_slice_assign_scalar')
 * cdef void slice_assign_scalar(__Pyx_memviewslice *dst, int ndim,             # <<<<<<<<<<<<<<
 *                               size_t itemsize, void *item,
 *                               bint dtype_is_object) nogil:
 */

  /* function exit code */
}

/* "View.MemoryView":1407
 * 
 * @cname('__pyx_memoryview__slice_assign_scalar')
 * cdef void _slice_assign_scalar(char *data, Py_ssize_t *shape,             # <<<<<<<<<<<<<<
 *                               Py_ssize_t *strides, int ndim,
 *                               size_t itemsize, void *item) nogil:
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static void __pyx_memoryview__slice_assign_scalar(char *__pyx_v_data, Py_ssize_t *__pyx_v_shape, Py_ssize_t *__pyx_v_strides, int __pyx_v_ndim, size_t __pyx_v_itemsize, void *__pyx_v_item) {
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  Py_ssize_t __pyx_t_3;
  Py_ssize_t __pyx_t_4;

  /* "View.MemoryView":1411
 *                               size_t itemsize, void *item) nogil:
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 *     cdef Py_ssize_t extent = shape[0]
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 */
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 *     cdef Py_ssize_t i
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 *     if ndim == 1:
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  __pyx_v_extent = (__pyx_v_shape[0]);

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 *     if ndim == 1:             # <<<<<<<<<<<<<<
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  __pyx_t_1 = ((__pyx_v_ndim == 1) != 0);
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    /* "View.MemoryView":1415
 * 
 *     if ndim == 1:
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    __pyx_t_2 = __pyx_v_extent;
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      /* "View.MemoryView":1416
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 *             data += stride
 *     else:
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      (void)(memcpy(__pyx_v_data, __pyx_v_item, __pyx_v_itemsize));

      /* "View.MemoryView":1417
 *         for i in range(extent):
 *             memcpy(data, item, itemsize)
 *             data += stride             # <<<<<<<<<<<<<<
 *     else:
 *         for i in range(extent):
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      __pyx_v_data = (__pyx_v_data + __pyx_v_stride);
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    /* "View.MemoryView":1414
 *     cdef Py_ssize_t extent = shape[0]
 * 
 *     if ndim == 1:             # <<<<<<<<<<<<<<
 *         for i in range(extent):
 *             memcpy(data, item, itemsize)
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    goto __pyx_L3;
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  /* "View.MemoryView":1419
 *             data += stride
 *     else:
 *         for i in range(extent):             # <<<<<<<<<<<<<<
 *             _slice_assign_scalar(data, shape + 1, strides + 1,
 *                                 ndim - 1, itemsize, item)
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  /*else*/ {
    __pyx_t_2 = __pyx_v_extent;
    __pyx_t_3 = __pyx_t_2;
    for (__pyx_t_4 = 0; __pyx_t_4 < __pyx_t_3; __pyx_t_4+=1) {
      __pyx_v_i = __pyx_t_4;

      /* "View.MemoryView":1420
 *     else:
 *         for i in range(extent):
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 *                                 ndim - 1, itemsize, item)
 *             data += stride
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      /* "View.MemoryView":1422
 *             _slice_assign_scalar(data, shape + 1, strides + 1,
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 * 
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 * 
 * @cname('__pyx_memoryview__slice_assign_scalar')
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 *                               Py_ssize_t *strides, int ndim,
 *                               size_t itemsize, void *item) nogil:
 */

  /* function exit code */
}

/* "(tree fragment)":1
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static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_LwDepthData(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *)o);
  new((void*)&(p->depthData)) DepthData();
  p->shape = Py_None; Py_INCREF(Py_None);
  p->chi.data = NULL;
  p->chi.memview = NULL;
  p->eta.data = NULL;
  p->eta.memview = NULL;
  p->I.data = NULL;
  p->I.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwDepthData(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  __Pyx_call_destructor(p->depthData);
  Py_CLEAR(p->shape);
  __PYX_XDEC_MEMVIEW(&p->chi, 1);
  __PYX_XDEC_MEMVIEW(&p->eta, 1);
  __PYX_XDEC_MEMVIEW(&p->I, 1);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_11lightweaver_10LwCompiled_LwDepthData(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *)o;
  if (p->shape) {
    e = (*v)(p->shape, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11lightweaver_10LwCompiled_LwDepthData(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *)o;
  tmp = ((PyObject*)p->shape);
  p->shape = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_11LwDepthData_fill(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_11LwDepthData_4fill_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_11LwDepthData_fill(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_11LwDepthData_4fill_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_11LwDepthData_chi(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_11LwDepthData_3chi_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_11LwDepthData_eta(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_11LwDepthData_3eta_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_11LwDepthData_I(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_11LwDepthData_1I_1__get__(o);
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_LwDepthData[] = {
  {"__getstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_11LwDepthData_3__getstate__, METH_NOARGS, 0},
  {"__setstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_11LwDepthData_5__setstate__, METH_O, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_11LwDepthData_7__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_11LwDepthData_9__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_11lightweaver_10LwCompiled_LwDepthData[] = {
  {(char *)"fill", __pyx_getprop_11lightweaver_10LwCompiled_11LwDepthData_fill, __pyx_setprop_11lightweaver_10LwCompiled_11LwDepthData_fill, (char *)"\n        Set this to True to fill the arrays, this will take care of\n        allocating the space if not previously done.\n        ", 0},
  {(char *)"chi", __pyx_getprop_11lightweaver_10LwCompiled_11LwDepthData_chi, 0, (char *)"\n        Full depth dependent opacity [Nlambda, Nmu, Up/Down, Nspace].\n        ", 0},
  {(char *)"eta", __pyx_getprop_11lightweaver_10LwCompiled_11LwDepthData_eta, 0, (char *)"\n        Full depth dependent emissivity [Nlambda, Nmu, Up/Down, Nspace].\n        ", 0},
  {(char *)"I", __pyx_getprop_11lightweaver_10LwCompiled_11LwDepthData_I, 0, (char *)"\n        Full depth dependent intensity [Nlambda, Nmu, Up/Down, Nspace].\n        ", 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_LwDepthData = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.LwDepthData", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwDepthData, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    Simple object to lazily hold data that isn't usually stored during the\n    Formal Solution (full angularly dependent emissivity, opacity, and\n    intensity at every point), due to the high memory cost. This is a part of\n    the Context and doesn't need to be instantiated directly.\n    ", /*tp_doc*/
  __pyx_tp_traverse_11lightweaver_10LwCompiled_LwDepthData, /*tp_traverse*/
  __pyx_tp_clear_11lightweaver_10LwCompiled_LwDepthData, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_LwDepthData, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_11lightweaver_10LwCompiled_LwDepthData, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_11LwDepthData_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_LwDepthData, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_LwAtmosphere(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *)o);
  new((void*)&(p->atmos)) Atmosphere();
  p->pyAtmos = Py_None; Py_INCREF(Py_None);
  p->x.data = NULL;
  p->x.memview = NULL;
  p->y.data = NULL;
  p->y.memview = NULL;
  p->z.data = NULL;
  p->z.memview = NULL;
  p->temperature.data = NULL;
  p->temperature.memview = NULL;
  p->ne.data = NULL;
  p->ne.memview = NULL;
  p->vx.data = NULL;
  p->vx.memview = NULL;
  p->vy.data = NULL;
  p->vy.memview = NULL;
  p->vz.data = NULL;
  p->vz.memview = NULL;
  p->vlosMu.data = NULL;
  p->vlosMu.memview = NULL;
  p->B.data = NULL;
  p->B.memview = NULL;
  p->gammaB.data = NULL;
  p->gammaB.memview = NULL;
  p->chiB.data = NULL;
  p->chiB.memview = NULL;
  p->cosGamma.data = NULL;
  p->cosGamma.memview = NULL;
  p->cos2chi.data = NULL;
  p->cos2chi.memview = NULL;
  p->sin2chi.data = NULL;
  p->sin2chi.memview = NULL;
  p->vturb.data = NULL;
  p->vturb.memview = NULL;
  p->nHTot.data = NULL;
  p->nHTot.memview = NULL;
  p->muz.data = NULL;
  p->muz.memview = NULL;
  p->muy.data = NULL;
  p->muy.memview = NULL;
  p->mux.data = NULL;
  p->mux.memview = NULL;
  p->wmu.data = NULL;
  p->wmu.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwAtmosphere(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  __Pyx_call_destructor(p->atmos);
  Py_CLEAR(p->pyAtmos);
  __PYX_XDEC_MEMVIEW(&p->x, 1);
  __PYX_XDEC_MEMVIEW(&p->y, 1);
  __PYX_XDEC_MEMVIEW(&p->z, 1);
  __PYX_XDEC_MEMVIEW(&p->temperature, 1);
  __PYX_XDEC_MEMVIEW(&p->ne, 1);
  __PYX_XDEC_MEMVIEW(&p->vx, 1);
  __PYX_XDEC_MEMVIEW(&p->vy, 1);
  __PYX_XDEC_MEMVIEW(&p->vz, 1);
  __PYX_XDEC_MEMVIEW(&p->vlosMu, 1);
  __PYX_XDEC_MEMVIEW(&p->B, 1);
  __PYX_XDEC_MEMVIEW(&p->gammaB, 1);
  __PYX_XDEC_MEMVIEW(&p->chiB, 1);
  __PYX_XDEC_MEMVIEW(&p->cosGamma, 1);
  __PYX_XDEC_MEMVIEW(&p->cos2chi, 1);
  __PYX_XDEC_MEMVIEW(&p->sin2chi, 1);
  __PYX_XDEC_MEMVIEW(&p->vturb, 1);
  __PYX_XDEC_MEMVIEW(&p->nHTot, 1);
  __PYX_XDEC_MEMVIEW(&p->muz, 1);
  __PYX_XDEC_MEMVIEW(&p->muy, 1);
  __PYX_XDEC_MEMVIEW(&p->mux, 1);
  __PYX_XDEC_MEMVIEW(&p->wmu, 1);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_11lightweaver_10LwCompiled_LwAtmosphere(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *)o;
  if (p->pyAtmos) {
    e = (*v)(p->pyAtmos, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11lightweaver_10LwCompiled_LwAtmosphere(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *)o;
  tmp = ((PyObject*)p->pyAtmos);
  p->pyAtmos = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_Nspace(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_6Nspace_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_Nrays(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_5Nrays_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_Ndim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_4Ndim_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_Nx(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_2Nx_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_Ny(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_2Ny_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_Nz(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_2Nz_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_x(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_1x_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_y(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_1y_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_z(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_1z_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_height(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_6height_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_temperature(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_11temperature_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_ne(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_2ne_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_vx(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_2vx_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_vy(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_2vy_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_vz(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_2vz_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_vlos(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_4vlos_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_vlosMu(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_6vlosMu_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_B(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_1B_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_gammaB(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_6gammaB_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_chiB(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_4chiB_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_cosGamma(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_8cosGamma_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_cos2chi(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_7cos2chi_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_sin2chi(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_7sin2chi_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_vturb(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_5vturb_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_nHTot(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_5nHTot_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_muz(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_3muz_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_muy(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_3muy_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_mux(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_3mux_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_wmu(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_3wmu_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_pyAtmos(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_7pyAtmos_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_12LwAtmosphere_pyAtmos(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_7pyAtmos_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_7pyAtmos_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_LwAtmosphere[] = {
  {"configure_bcs", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_3configure_bcs, METH_O, 0},
  {"compute_bcs", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_5compute_bcs, METH_O, 0},
  {"update_projections", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_7update_projections, METH_NOARGS, __pyx_doc_11lightweaver_10LwCompiled_12LwAtmosphere_6update_projections},
  {"__getstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_9__getstate__, METH_NOARGS, 0},
  {"__setstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_11__setstate__, METH_O, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_13__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_15__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_11lightweaver_10LwCompiled_LwAtmosphere[] = {
  {(char *)"Nspace", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_Nspace, 0, (char *)"\n        The number of points in the atmosphere.\n        ", 0},
  {(char *)"Nrays", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_Nrays, 0, (char *)"\n        The number of rays in the angular quadrature.\n        ", 0},
  {(char *)"Ndim", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_Ndim, 0, (char *)"\n        The dimensionality of the atmosphere.\n        ", 0},
  {(char *)"Nx", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_Nx, 0, (char *)"\n        The number of points along the x dimension.\n        ", 0},
  {(char *)"Ny", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_Ny, 0, (char *)"\n        The number of points along the y dimension.\n        ", 0},
  {(char *)"Nz", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_Nz, 0, (char *)"\n        The number of points along the z dimension.\n        ", 0},
  {(char *)"x", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_x, 0, (char *)"\n        The x grid.\n        ", 0},
  {(char *)"y", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_y, 0, (char *)"\n        The y grid.\n        ", 0},
  {(char *)"z", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_z, 0, (char *)"\n        The z grid.\n        ", 0},
  {(char *)"height", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_height, 0, (char *)"\n        The z (altitude) grid.\n        ", 0},
  {(char *)"temperature", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_temperature, 0, (char *)"\n        The temperature structure of the atmospheric model (flat array).\n        ", 0},
  {(char *)"ne", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_ne, 0, (char *)"\n        The electron density structure of the atmospheric model (flat array).\n        ", 0},
  {(char *)"vx", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_vx, 0, (char *)"\n        The x-velocity structure of the atmospheric model (flat array).\n        ", 0},
  {(char *)"vy", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_vy, 0, (char *)"\n        The y-velocity structure of the atmospheric model (flat array).\n        ", 0},
  {(char *)"vz", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_vz, 0, (char *)"\n        The z-velocity structure of the atmospheric model (flat array).\n        ", 0},
  {(char *)"vlos", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_vlos, 0, (char *)"\n        The z-velocity structure of the atmospheric model for 1D atmospheres\n        (flat array).\n        ", 0},
  {(char *)"vlosMu", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_vlosMu, 0, (char *)"\n        The projected line of sight veloctity for each ray in the atmosphere.\n        ", 0},
  {(char *)"B", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_B, 0, (char *)"\n        The magnetic field structure for the atmosphereic model (flat array).\n        ", 0},
  {(char *)"gammaB", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_gammaB, 0, (char *)"\n        Magnetic field co-altitude.\n        ", 0},
  {(char *)"chiB", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_chiB, 0, (char *)"\n        Magnetic field azimuth\n        ", 0},
  {(char *)"cosGamma", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_cosGamma, 0, (char *)"\n        cosine of gammaB\n        ", 0},
  {(char *)"cos2chi", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_cos2chi, 0, (char *)"\n        cosine of 2*chi\n        ", 0},
  {(char *)"sin2chi", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_sin2chi, 0, (char *)"\n        sine of 2*chi\n        ", 0},
  {(char *)"vturb", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_vturb, 0, (char *)"\n        Microturbelent velocity structure of the atmospheric model.\n        ", 0},
  {(char *)"nHTot", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_nHTot, 0, (char *)"\n        Total hydrogen number density strucutre.\n        ", 0},
  {(char *)"muz", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_muz, 0, (char *)"\n        Cosine of angle with z-axis for each ray.\n        ", 0},
  {(char *)"muy", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_muy, 0, (char *)"\n        Cosine of angle with y-axis for each ray.\n        ", 0},
  {(char *)"mux", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_mux, 0, (char *)"\n        Cosine of angle with x-axis for each ray.\n        ", 0},
  {(char *)"wmu", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_wmu, 0, (char *)"\n        Integration weights for angular quadrature.\n        ", 0},
  {(char *)"pyAtmos", __pyx_getprop_11lightweaver_10LwCompiled_12LwAtmosphere_pyAtmos, __pyx_setprop_11lightweaver_10LwCompiled_12LwAtmosphere_pyAtmos, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_LwAtmosphere = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.LwAtmosphere", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwAtmosphere, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    Storage for the C++ class, ensuring all of the arrays remained pinned\n    from python. Usually constructed by the Context.\n\n    Parameters\n    ----------\n    atmos : Atmosphere\n        The python atmosphere object.\n    Nwavelengths : int\n        The number of wavelengths used in the wavelength grid.\n    ", /*tp_doc*/
  __pyx_tp_traverse_11lightweaver_10LwCompiled_LwAtmosphere, /*tp_traverse*/
  __pyx_tp_clear_11lightweaver_10LwCompiled_LwAtmosphere, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_LwAtmosphere, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_11lightweaver_10LwCompiled_LwAtmosphere, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_12LwAtmosphere_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_LwAtmosphere, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_11lightweaver_10LwCompiled_BackgroundProvider __pyx_vtable_11lightweaver_10LwCompiled_BackgroundProvider;

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_BackgroundProvider(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider *)o);
  p->__pyx_vtab = __pyx_vtabptr_11lightweaver_10LwCompiled_BackgroundProvider;
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_BackgroundProvider(PyObject *o) {
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  (*Py_TYPE(o)->tp_free)(o);
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_BackgroundProvider[] = {
  {"compute_background", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_18BackgroundProvider_3compute_background, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_18BackgroundProvider_2compute_background},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_18BackgroundProvider_5__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_18BackgroundProvider_7__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_BackgroundProvider = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.BackgroundProvider", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_BackgroundProvider, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  "\n    Base class for implementing background packages. Inherit from this to\n    implement a new background scheme.\n\n    Parameters\n    ---------\n    eqPops : SpeciesStateTable\n        The populations of all species present in the simulation.\n    radSet : RadiativeSet\n        The atomic models and configuration data.\n    wavelength : np.ndarray\n        The array of wavelengths at which to compute the background.\n\n    ", /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_BackgroundProvider, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_18BackgroundProvider_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_BackgroundProvider, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_11lightweaver_10LwCompiled_BasicBackground __pyx_vtable_11lightweaver_10LwCompiled_BasicBackground;

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_BasicBackground(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *p;
  PyObject *o = __pyx_tp_new_11lightweaver_10LwCompiled_BackgroundProvider(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_11lightweaver_10LwCompiled_BackgroundProvider*)__pyx_vtabptr_11lightweaver_10LwCompiled_BasicBackground;
  new((void*)&(p->bd)) BackgroundData();
  p->eqPops = Py_None; Py_INCREF(Py_None);
  p->radSet = Py_None; Py_INCREF(Py_None);
  p->chPops.data = NULL;
  p->chPops.memview = NULL;
  p->ohPops.data = NULL;
  p->ohPops.memview = NULL;
  p->h2Pops.data = NULL;
  p->h2Pops.memview = NULL;
  p->hMinusPops.data = NULL;
  p->hMinusPops.memview = NULL;
  p->hPops.data = NULL;
  p->hPops.memview = NULL;
  p->wavelength.data = NULL;
  p->wavelength.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_BasicBackground(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *p = (struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  __Pyx_call_destructor(p->bd);
  Py_CLEAR(p->eqPops);
  Py_CLEAR(p->radSet);
  __PYX_XDEC_MEMVIEW(&p->chPops, 1);
  __PYX_XDEC_MEMVIEW(&p->ohPops, 1);
  __PYX_XDEC_MEMVIEW(&p->h2Pops, 1);
  __PYX_XDEC_MEMVIEW(&p->hMinusPops, 1);
  __PYX_XDEC_MEMVIEW(&p->hPops, 1);
  __PYX_XDEC_MEMVIEW(&p->wavelength, 1);
  #if CYTHON_USE_TYPE_SLOTS
  if (PyType_IS_GC(Py_TYPE(o)->tp_base))
  #endif
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_BackgroundProvider(o);
}

static int __pyx_tp_traverse_11lightweaver_10LwCompiled_BasicBackground(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *p = (struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *)o;
  e = ((likely(__pyx_ptype_11lightweaver_10LwCompiled_BackgroundProvider)) ? ((__pyx_ptype_11lightweaver_10LwCompiled_BackgroundProvider->tp_traverse) ? __pyx_ptype_11lightweaver_10LwCompiled_BackgroundProvider->tp_traverse(o, v, a) : 0) : __Pyx_call_next_tp_traverse(o, v, a, __pyx_tp_traverse_11lightweaver_10LwCompiled_BasicBackground)); if (e) return e;
  if (p->eqPops) {
    e = (*v)(p->eqPops, a); if (e) return e;
  }
  if (p->radSet) {
    e = (*v)(p->radSet, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11lightweaver_10LwCompiled_BasicBackground(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *p = (struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground *)o;
  if (likely(__pyx_ptype_11lightweaver_10LwCompiled_BackgroundProvider)) { if (__pyx_ptype_11lightweaver_10LwCompiled_BackgroundProvider->tp_clear) __pyx_ptype_11lightweaver_10LwCompiled_BackgroundProvider->tp_clear(o); } else __Pyx_call_next_tp_clear(o, __pyx_tp_clear_11lightweaver_10LwCompiled_BasicBackground);
  tmp = ((PyObject*)p->eqPops);
  p->eqPops = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->radSet);
  p->radSet = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_BasicBackground[] = {
  {"compute_background", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_15BasicBackground_3compute_background, METH_VARARGS|METH_KEYWORDS, 0},
  {"rayleigh_scattering", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_15BasicBackground_5rayleigh_scattering, METH_VARARGS|METH_KEYWORDS, 0},
  {"bf_opacities", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_15BasicBackground_7bf_opacities, METH_VARARGS|METH_KEYWORDS, 0},
  {"__getstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_15BasicBackground_9__getstate__, METH_NOARGS, 0},
  {"__setstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_15BasicBackground_11__setstate__, METH_O, 0},
  {"_reconstruct", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_15BasicBackground_13_reconstruct, METH_O, 0},
  {"__reduce__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_15BasicBackground_15__reduce__, METH_NOARGS, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_BasicBackground = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.BasicBackground", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_BasicBackground), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_BasicBackground, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    Basic background implementation used by default in Lightweaver;\n    equivalent to RH's treatment i.e. H- opacity, CH, OH, H2 continuum\n    opacities if present, continua from all passive atoms in the\n    RadiativeSet, Thomson and Rayleigh scattering (from H and He).\n    ", /*tp_doc*/
  __pyx_tp_traverse_11lightweaver_10LwCompiled_BasicBackground, /*tp_traverse*/
  __pyx_tp_clear_11lightweaver_10LwCompiled_BasicBackground, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_BasicBackground, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_15BasicBackground_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_BasicBackground, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_11lightweaver_10LwCompiled_FastBackground __pyx_vtable_11lightweaver_10LwCompiled_FastBackground;

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_FastBackground(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *p;
  PyObject *o = __pyx_tp_new_11lightweaver_10LwCompiled_BackgroundProvider(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_11lightweaver_10LwCompiled_BackgroundProvider*)__pyx_vtabptr_11lightweaver_10LwCompiled_FastBackground;
  new((void*)&(p->bd)) BackgroundData();
  new((void*)&(p->ctx)) FastBackgroundContext();
  p->eqPops = Py_None; Py_INCREF(Py_None);
  p->radSet = Py_None; Py_INCREF(Py_None);
  p->chPops.data = NULL;
  p->chPops.memview = NULL;
  p->ohPops.data = NULL;
  p->ohPops.memview = NULL;
  p->h2Pops.data = NULL;
  p->h2Pops.memview = NULL;
  p->hMinusPops.data = NULL;
  p->hMinusPops.memview = NULL;
  p->hPops.data = NULL;
  p->hPops.memview = NULL;
  p->wavelength.data = NULL;
  p->wavelength.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_FastBackground(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *p = (struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  __Pyx_call_destructor(p->bd);
  __Pyx_call_destructor(p->ctx);
  Py_CLEAR(p->eqPops);
  Py_CLEAR(p->radSet);
  __PYX_XDEC_MEMVIEW(&p->chPops, 1);
  __PYX_XDEC_MEMVIEW(&p->ohPops, 1);
  __PYX_XDEC_MEMVIEW(&p->h2Pops, 1);
  __PYX_XDEC_MEMVIEW(&p->hMinusPops, 1);
  __PYX_XDEC_MEMVIEW(&p->hPops, 1);
  __PYX_XDEC_MEMVIEW(&p->wavelength, 1);
  #if CYTHON_USE_TYPE_SLOTS
  if (PyType_IS_GC(Py_TYPE(o)->tp_base))
  #endif
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_BackgroundProvider(o);
}

static int __pyx_tp_traverse_11lightweaver_10LwCompiled_FastBackground(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *p = (struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *)o;
  e = ((likely(__pyx_ptype_11lightweaver_10LwCompiled_BackgroundProvider)) ? ((__pyx_ptype_11lightweaver_10LwCompiled_BackgroundProvider->tp_traverse) ? __pyx_ptype_11lightweaver_10LwCompiled_BackgroundProvider->tp_traverse(o, v, a) : 0) : __Pyx_call_next_tp_traverse(o, v, a, __pyx_tp_traverse_11lightweaver_10LwCompiled_FastBackground)); if (e) return e;
  if (p->eqPops) {
    e = (*v)(p->eqPops, a); if (e) return e;
  }
  if (p->radSet) {
    e = (*v)(p->radSet, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11lightweaver_10LwCompiled_FastBackground(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *p = (struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground *)o;
  if (likely(__pyx_ptype_11lightweaver_10LwCompiled_BackgroundProvider)) { if (__pyx_ptype_11lightweaver_10LwCompiled_BackgroundProvider->tp_clear) __pyx_ptype_11lightweaver_10LwCompiled_BackgroundProvider->tp_clear(o); } else __Pyx_call_next_tp_clear(o, __pyx_tp_clear_11lightweaver_10LwCompiled_FastBackground);
  tmp = ((PyObject*)p->eqPops);
  p->eqPops = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->radSet);
  p->radSet = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_FastBackground[] = {
  {"compute_background", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_14FastBackground_3compute_background, METH_VARARGS|METH_KEYWORDS, 0},
  {"__getstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_14FastBackground_5__getstate__, METH_NOARGS, 0},
  {"__setstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_14FastBackground_7__setstate__, METH_O, 0},
  {"_reconstruct", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_14FastBackground_9_reconstruct, METH_O, 0},
  {"__reduce__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_14FastBackground_11__reduce__, METH_NOARGS, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_FastBackground = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.FastBackground", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_FastBackground), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_FastBackground, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    A faster implementation (due to C++ implementations) of BasicBackground\n    supporting multiple threads.\n    ", /*tp_doc*/
  __pyx_tp_traverse_11lightweaver_10LwCompiled_FastBackground, /*tp_traverse*/
  __pyx_tp_clear_11lightweaver_10LwCompiled_FastBackground, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_FastBackground, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_14FastBackground_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_FastBackground, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_11lightweaver_10LwCompiled_LwBackground __pyx_vtable_11lightweaver_10LwCompiled_LwBackground;

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_LwBackground(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *)o);
  p->__pyx_vtab = __pyx_vtabptr_11lightweaver_10LwCompiled_LwBackground;
  new((void*)&(p->background)) Background();
  p->eqPops = Py_None; Py_INCREF(Py_None);
  p->radSet = Py_None; Py_INCREF(Py_None);
  p->provider = ((struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider *)Py_None); Py_INCREF(Py_None);
  p->wavelength.data = NULL;
  p->wavelength.memview = NULL;
  p->chi.data = NULL;
  p->chi.memview = NULL;
  p->eta.data = NULL;
  p->eta.memview = NULL;
  p->sca.data = NULL;
  p->sca.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwBackground(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  __Pyx_call_destructor(p->background);
  Py_CLEAR(p->eqPops);
  Py_CLEAR(p->radSet);
  Py_CLEAR(p->provider);
  __PYX_XDEC_MEMVIEW(&p->wavelength, 1);
  __PYX_XDEC_MEMVIEW(&p->chi, 1);
  __PYX_XDEC_MEMVIEW(&p->eta, 1);
  __PYX_XDEC_MEMVIEW(&p->sca, 1);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_11lightweaver_10LwCompiled_LwBackground(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *)o;
  if (p->eqPops) {
    e = (*v)(p->eqPops, a); if (e) return e;
  }
  if (p->radSet) {
    e = (*v)(p->radSet, a); if (e) return e;
  }
  if (p->provider) {
    e = (*v)(((PyObject *)p->provider), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11lightweaver_10LwCompiled_LwBackground(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *)o;
  tmp = ((PyObject*)p->eqPops);
  p->eqPops = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->radSet);
  p->radSet = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->provider);
  p->provider = ((struct __pyx_obj_11lightweaver_10LwCompiled_BackgroundProvider *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwBackground_chi(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwBackground_3chi_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwBackground_eta(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwBackground_3eta_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwBackground_sca(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwBackground_3sca_1__get__(o);
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_LwBackground[] = {
  {"update_background", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwBackground_3update_background, METH_O, __pyx_doc_11lightweaver_10LwCompiled_12LwBackground_2update_background},
  {"__getstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwBackground_5__getstate__, METH_NOARGS, 0},
  {"__setstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwBackground_7__setstate__, METH_O, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwBackground_9__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwBackground_11__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_11lightweaver_10LwCompiled_LwBackground[] = {
  {(char *)"chi", __pyx_getprop_11lightweaver_10LwCompiled_12LwBackground_chi, 0, (char *)"\n        The background opacity [Nlambda, Nspace].\n        ", 0},
  {(char *)"eta", __pyx_getprop_11lightweaver_10LwCompiled_12LwBackground_eta, 0, (char *)"\n        The background eta [Nlambda, Nspace].\n        ", 0},
  {(char *)"sca", __pyx_getprop_11lightweaver_10LwCompiled_12LwBackground_sca, 0, (char *)"\n        The background scattering [Nlambda, Nspace].\n        ", 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_LwBackground = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.LwBackground", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwBackground, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    Storage and driver for the background computations in Lightweaver. The\n    storage is allocated and managed by this class, before being passed to\n    C++ when necessary. This class is also responsible for calling the\n    BackgroundProvider instance used (by default FastBackground with one thread).\n    ", /*tp_doc*/
  __pyx_tp_traverse_11lightweaver_10LwCompiled_LwBackground, /*tp_traverse*/
  __pyx_tp_clear_11lightweaver_10LwCompiled_LwBackground, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_LwBackground, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_11lightweaver_10LwCompiled_LwBackground, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_12LwBackground_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_LwBackground, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_11lightweaver_10LwCompiled_RayleighScatterer __pyx_vtable_11lightweaver_10LwCompiled_RayleighScatterer;

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_RayleighScatterer(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *)o);
  p->__pyx_vtab = __pyx_vtabptr_11lightweaver_10LwCompiled_RayleighScatterer;
  p->atmos = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *)Py_None); Py_INCREF(Py_None);
  p->atom = Py_None; Py_INCREF(Py_None);
  p->lambdaRed = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->pops.data = NULL;
  p->pops.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_RayleighScatterer(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *p = (struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->atmos);
  Py_CLEAR(p->atom);
  Py_CLEAR(p->lambdaRed);
  __PYX_XDEC_MEMVIEW(&p->pops, 1);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_11lightweaver_10LwCompiled_RayleighScatterer(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *p = (struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *)o;
  if (p->atmos) {
    e = (*v)(((PyObject *)p->atmos), a); if (e) return e;
  }
  if (p->atom) {
    e = (*v)(p->atom, a); if (e) return e;
  }
  if (p->lambdaRed) {
    e = (*v)(p->lambdaRed, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11lightweaver_10LwCompiled_RayleighScatterer(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *p = (struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer *)o;
  tmp = ((PyObject*)p->atmos);
  p->atmos = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->atom);
  p->atom = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->lambdaRed);
  p->lambdaRed = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_RayleighScatterer[] = {
  {"scatter", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_17RayleighScatterer_3scatter, METH_VARARGS|METH_KEYWORDS, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_17RayleighScatterer_5__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_17RayleighScatterer_7__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_RayleighScatterer = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.RayleighScatterer", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_RayleighScatterer), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_RayleighScatterer, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    For computing Rayleigh scattering, used by BasicBackground.\n    ", /*tp_doc*/
  __pyx_tp_traverse_11lightweaver_10LwCompiled_RayleighScatterer, /*tp_traverse*/
  __pyx_tp_clear_11lightweaver_10LwCompiled_RayleighScatterer, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_RayleighScatterer, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_17RayleighScatterer_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_RayleighScatterer, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_11lightweaver_10LwCompiled_LwTransition __pyx_vtable_11lightweaver_10LwCompiled_LwTransition;

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_LwTransition(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *)o);
  p->__pyx_vtab = __pyx_vtabptr_11lightweaver_10LwCompiled_LwTransition;
  new((void*)&(p->trans)) Transition();
  p->transModel = Py_None; Py_INCREF(Py_None);
  p->atmos = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *)Py_None); Py_INCREF(Py_None);
  p->spect = Py_None; Py_INCREF(Py_None);
  p->atom = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *)Py_None); Py_INCREF(Py_None);
  p->phi.data = NULL;
  p->phi.memview = NULL;
  p->phiQ.data = NULL;
  p->phiQ.memview = NULL;
  p->phiU.data = NULL;
  p->phiU.memview = NULL;
  p->phiV.data = NULL;
  p->phiV.memview = NULL;
  p->psiQ.data = NULL;
  p->psiQ.memview = NULL;
  p->psiU.data = NULL;
  p->psiU.memview = NULL;
  p->psiV.data = NULL;
  p->psiV.memview = NULL;
  p->wphi.data = NULL;
  p->wphi.memview = NULL;
  p->alpha.data = NULL;
  p->alpha.memview = NULL;
  p->wavelength.data = NULL;
  p->wavelength.memview = NULL;
  p->active.data = NULL;
  p->active.memview = NULL;
  p->Qelast.data = NULL;
  p->Qelast.memview = NULL;
  p->aDamp.data = NULL;
  p->aDamp.memview = NULL;
  p->rhoPrd.data = NULL;
  p->rhoPrd.memview = NULL;
  p->Rij.data = NULL;
  p->Rij.memview = NULL;
  p->Rji.data = NULL;
  p->Rji.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwTransition(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  __Pyx_call_destructor(p->trans);
  Py_CLEAR(p->transModel);
  Py_CLEAR(p->atmos);
  Py_CLEAR(p->spect);
  Py_CLEAR(p->atom);
  __PYX_XDEC_MEMVIEW(&p->phi, 1);
  __PYX_XDEC_MEMVIEW(&p->phiQ, 1);
  __PYX_XDEC_MEMVIEW(&p->phiU, 1);
  __PYX_XDEC_MEMVIEW(&p->phiV, 1);
  __PYX_XDEC_MEMVIEW(&p->psiQ, 1);
  __PYX_XDEC_MEMVIEW(&p->psiU, 1);
  __PYX_XDEC_MEMVIEW(&p->psiV, 1);
  __PYX_XDEC_MEMVIEW(&p->wphi, 1);
  __PYX_XDEC_MEMVIEW(&p->alpha, 1);
  __PYX_XDEC_MEMVIEW(&p->wavelength, 1);
  __PYX_XDEC_MEMVIEW(&p->active, 1);
  __PYX_XDEC_MEMVIEW(&p->Qelast, 1);
  __PYX_XDEC_MEMVIEW(&p->aDamp, 1);
  __PYX_XDEC_MEMVIEW(&p->rhoPrd, 1);
  __PYX_XDEC_MEMVIEW(&p->Rij, 1);
  __PYX_XDEC_MEMVIEW(&p->Rji, 1);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_11lightweaver_10LwCompiled_LwTransition(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *)o;
  if (p->transModel) {
    e = (*v)(p->transModel, a); if (e) return e;
  }
  if (p->atmos) {
    e = (*v)(((PyObject *)p->atmos), a); if (e) return e;
  }
  if (p->spect) {
    e = (*v)(p->spect, a); if (e) return e;
  }
  if (p->atom) {
    e = (*v)(((PyObject *)p->atom), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11lightweaver_10LwCompiled_LwTransition(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *)o;
  tmp = ((PyObject*)p->transModel);
  p->transModel = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->atmos);
  p->atmos = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->spect);
  p->spect = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->atom);
  p->atom = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_jLevel(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_6jLevel_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_iLevel(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_6iLevel_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_j(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_1j_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_i(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_1i_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Aji(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_3Aji_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Bji(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_3Bji_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Bij(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_3Bij_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Nblue(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_5Nblue_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_lambda0(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_7lambda0_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_wphi(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_4wphi_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_phi(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_3phi_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_phiQ(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_4phiQ_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_phiU(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_4phiU_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_phiV(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_4phiV_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_psiQ(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_4psiQ_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_psiU(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_4psiU_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_psiV(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_4psiV_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Rij(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_3Rij_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Rji(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_3Rji_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_rhoPrd(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_6rhoPrd_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_alpha(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_5alpha_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_wavelength(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_10wavelength_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_active(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_6active_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Qelast(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_6Qelast_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_aDamp(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_5aDamp_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_polarisable(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_11polarisable_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_type(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_4type_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_transModel(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_10transModel_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_12LwTransition_transModel(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_10transModel_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_10transModel_5__del__(o);
  }
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_atom(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_4atom_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_12LwTransition_atom(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_4atom_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_4atom_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_LwTransition[] = {
  {"__getstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwTransition_3__getstate__, METH_NOARGS, 0},
  {"__setstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwTransition_5__setstate__, METH_O, 0},
  {"load_rates_prd_from_state", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_12LwTransition_7load_rates_prd_from_state, METH_VARARGS|METH_KEYWORDS, 0},
  {"compute_phi", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwTransition_9compute_phi, METH_NOARGS, __pyx_doc_11lightweaver_10LwCompiled_12LwTransition_8compute_phi},
  {"compute_polarised_profiles", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwTransition_11compute_polarised_profiles, METH_NOARGS, __pyx_doc_11lightweaver_10LwCompiled_12LwTransition_10compute_polarised_profiles},
  {"recompute_gII", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwTransition_13recompute_gII, METH_NOARGS, __pyx_doc_11lightweaver_10LwCompiled_12LwTransition_12recompute_gII},
  {"uv", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_12LwTransition_15uv, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_12LwTransition_14uv},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwTransition_17__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_12LwTransition_19__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_11lightweaver_10LwCompiled_LwTransition[] = {
  {(char *)"jLevel", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_jLevel, 0, (char *)"\n        Access the upper level on the model object.\n        ", 0},
  {(char *)"iLevel", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_iLevel, 0, (char *)"\n        Access the lower level on the model object.\n        ", 0},
  {(char *)"j", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_j, 0, (char *)"\n        Index of upper level.\n        ", 0},
  {(char *)"i", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_i, 0, (char *)"\n        Index of lower level.\n        ", 0},
  {(char *)"Aji", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Aji, 0, (char *)"\n        Einstein A for transition.\n        ", 0},
  {(char *)"Bji", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Bji, 0, (char *)"\n        Einstein Bji for transition.\n        ", 0},
  {(char *)"Bij", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Bij, 0, (char *)"\n        Einstein Bij for transition.\n        ", 0},
  {(char *)"Nblue", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Nblue, 0, (char *)"\n        Index into global wavelength grid where this transition's local grid\n        starts.\n        ", 0},
  {(char *)"lambda0", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_lambda0, 0, (char *)"\n        Line rest wavelength or continuum edge wavelength.\n        ", 0},
  {(char *)"wphi", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_wphi, 0, (char *)"\n        Multiplicative inverse of integrated line profile at each location in\n        the atmosphere, used to ensure terms based on integration across the\n        entire line profile (e.g. in the Gamma matrix) are correctly\n        normalised.\n        ", 0},
  {(char *)"phi", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_phi, 0, (char *)"\n        Numerical line profile. AttributeError for continua.\n        ", 0},
  {(char *)"phiQ", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_phiQ, 0, (char *)0, 0},
  {(char *)"phiU", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_phiU, 0, (char *)0, 0},
  {(char *)"phiV", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_phiV, 0, (char *)0, 0},
  {(char *)"psiQ", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_psiQ, 0, (char *)0, 0},
  {(char *)"psiU", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_psiU, 0, (char *)0, 0},
  {(char *)"psiV", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_psiV, 0, (char *)0, 0},
  {(char *)"Rij", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Rij, 0, (char *)"\n        Upwards radiative rates for the transition throughout the atmosphere.\n        ", 0},
  {(char *)"Rji", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Rji, 0, (char *)"\n        Downward radiative rates for the transition throughout the atmosphere.\n        ", 0},
  {(char *)"rhoPrd", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_rhoPrd, 0, (char *)"\n        Ratio of emission to absorption profiles throughout the atmosphere,\n        in the case of PRD lines.\n        ", 0},
  {(char *)"alpha", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_alpha, 0, (char *)"\n        The wavelength-dependent cross-section for a continuum.\n        AttributeError for lines.\n        ", 0},
  {(char *)"wavelength", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_wavelength, 0, (char *)"\n        The transition's local wavelength grid.\n        ", 0},
  {(char *)"active", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_active, 0, (char *)"\n        The active wavelength mask for this transition.\n        ", 0},
  {(char *)"Qelast", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_Qelast, 0, (char *)"\n        The elastic collision rate for this transition in the atmosphere,\n        needed for PRD.\n        ", 0},
  {(char *)"aDamp", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_aDamp, 0, (char *)"\n        The Voigt damping parameter for this transition in the atmosphere.\n        ", 0},
  {(char *)"polarisable", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_polarisable, 0, (char *)"\n        The polarisability of the transition, based on model data.\n        ", 0},
  {(char *)"type", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_type, 0, (char *)"\n        The type of transition (Line or Continuum) as a str.\n        ", 0},
  {(char *)"transModel", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_transModel, __pyx_setprop_11lightweaver_10LwCompiled_12LwTransition_transModel, (char *)0, 0},
  {(char *)"atom", __pyx_getprop_11lightweaver_10LwCompiled_12LwTransition_atom, __pyx_setprop_11lightweaver_10LwCompiled_12LwTransition_atom, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_LwTransition = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.LwTransition", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwTransition, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    Storage and access to transition data used by backend. Instantiated by\n    Context.\n\n    Parameters\n    ----------\n    trans : AtomicTransition\n        The transition model object.\n    compAtom : LwAtom\n        The computational atom to which this computational transition\n        belongs.\n    atmos : LwAtmosphere\n        The computational atmosphere in which this transition is to be used.\n    spect : SpectrumConfiguration\n        The spectral configuration of the simulation.\n\n    Attributes\n    ----------\n    transModel : AtomicTransition\n        The transition model object.\n    ", /*tp_doc*/
  __pyx_tp_traverse_11lightweaver_10LwCompiled_LwTransition, /*tp_traverse*/
  __pyx_tp_clear_11lightweaver_10LwCompiled_LwTransition, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_LwTransition, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_11lightweaver_10LwCompiled_LwTransition, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_12LwTransition_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_LwTransition, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_LwZeemanComponents(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwZeemanComponents *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwZeemanComponents *)o);
  new((void*)&(p->zc)) ZeemanComponents();
  p->alpha.data = NULL;
  p->alpha.memview = NULL;
  p->shift.data = NULL;
  p->shift.memview = NULL;
  p->strength.data = NULL;
  p->strength.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwZeemanComponents(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwZeemanComponents *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwZeemanComponents *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  __Pyx_call_destructor(p->zc);
  __PYX_XDEC_MEMVIEW(&p->alpha, 1);
  __PYX_XDEC_MEMVIEW(&p->shift, 1);
  __PYX_XDEC_MEMVIEW(&p->strength, 1);
  (*Py_TYPE(o)->tp_free)(o);
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_LwZeemanComponents[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_18LwZeemanComponents_3__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_18LwZeemanComponents_5__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_LwZeemanComponents = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.LwZeemanComponents", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_LwZeemanComponents), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwZeemanComponents, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  "\n    Stores the Zeeman components to be passed to the backend, only exists\n    transiently.\n    ", /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_LwZeemanComponents, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_18LwZeemanComponents_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_LwZeemanComponents, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_11lightweaver_10LwCompiled_LwAtom __pyx_vtable_11lightweaver_10LwCompiled_LwAtom;

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_LwAtom(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *)o);
  p->__pyx_vtab = __pyx_vtabptr_11lightweaver_10LwCompiled_LwAtom;
  new((void*)&(p->atom)) Atom();
  p->atomicModel = Py_None; Py_INCREF(Py_None);
  p->modelPops = Py_None; Py_INCREF(Py_None);
  p->atmos = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *)Py_None); Py_INCREF(Py_None);
  p->eqPops = Py_None; Py_INCREF(Py_None);
  p->trans = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->fsIterSchemeProperties = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->vBroad.data = NULL;
  p->vBroad.memview = NULL;
  p->Gamma.data = NULL;
  p->Gamma.memview = NULL;
  p->C.data = NULL;
  p->C.memview = NULL;
  p->nTotal.data = NULL;
  p->nTotal.memview = NULL;
  p->nStar.data = NULL;
  p->nStar.memview = NULL;
  p->n.data = NULL;
  p->n.memview = NULL;
  p->stages.data = NULL;
  p->stages.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwAtom(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  __Pyx_call_destructor(p->atom);
  Py_CLEAR(p->atomicModel);
  Py_CLEAR(p->modelPops);
  Py_CLEAR(p->atmos);
  Py_CLEAR(p->eqPops);
  Py_CLEAR(p->trans);
  Py_CLEAR(p->fsIterSchemeProperties);
  __PYX_XDEC_MEMVIEW(&p->vBroad, 1);
  __PYX_XDEC_MEMVIEW(&p->Gamma, 1);
  __PYX_XDEC_MEMVIEW(&p->C, 1);
  __PYX_XDEC_MEMVIEW(&p->nTotal, 1);
  __PYX_XDEC_MEMVIEW(&p->nStar, 1);
  __PYX_XDEC_MEMVIEW(&p->n, 1);
  __PYX_XDEC_MEMVIEW(&p->stages, 1);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_11lightweaver_10LwCompiled_LwAtom(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *)o;
  if (p->atomicModel) {
    e = (*v)(p->atomicModel, a); if (e) return e;
  }
  if (p->modelPops) {
    e = (*v)(p->modelPops, a); if (e) return e;
  }
  if (p->atmos) {
    e = (*v)(((PyObject *)p->atmos), a); if (e) return e;
  }
  if (p->eqPops) {
    e = (*v)(p->eqPops, a); if (e) return e;
  }
  if (p->trans) {
    e = (*v)(p->trans, a); if (e) return e;
  }
  if (p->fsIterSchemeProperties) {
    e = (*v)(p->fsIterSchemeProperties, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11lightweaver_10LwCompiled_LwAtom(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom *)o;
  tmp = ((PyObject*)p->atomicModel);
  p->atomicModel = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->modelPops);
  p->modelPops = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->atmos);
  p->atmos = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->eqPops);
  p->eqPops = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->trans);
  p->trans = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->fsIterSchemeProperties);
  p->fsIterSchemeProperties = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_Nlevel(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_6Nlevel_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_Ntrans(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_6Ntrans_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_vBroad(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_6vBroad_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_Gamma(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_5Gamma_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_C(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_1C_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_nTotal(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_6nTotal_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_n(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_1n_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_nStar(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_5nStar_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_stages(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_6stages_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_trans(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_5trans_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_element(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_7element_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_atomicModel(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_11atomicModel_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_6LwAtom_atomicModel(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_11atomicModel_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_11atomicModel_5__del__(o);
  }
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_modelPops(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_9modelPops_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_6LwAtom_modelPops(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_9modelPops_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_9modelPops_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_LwAtom[] = {
  {"__getstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_6LwAtom_3__getstate__, METH_NOARGS, 0},
  {"__setstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_6LwAtom_5__setstate__, METH_O, 0},
  {"load_pops_rates_prd_from_state", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_6LwAtom_7load_pops_rates_prd_from_state, METH_VARARGS|METH_KEYWORDS, 0},
  {"compute_collisions", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_6LwAtom_9compute_collisions, METH_VARARGS|METH_KEYWORDS, 0},
  {"set_pops_escape_probability", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_6LwAtom_11set_pops_escape_probability, METH_VARARGS|METH_KEYWORDS, 0},
  {"setup_wavelength", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_6LwAtom_13setup_wavelength, METH_O, __pyx_doc_11lightweaver_10LwCompiled_6LwAtom_12setup_wavelength},
  {"compute_profiles", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_6LwAtom_15compute_profiles, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_6LwAtom_14compute_profiles},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_6LwAtom_17__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_6LwAtom_19__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_11lightweaver_10LwCompiled_LwAtom[] = {
  {(char *)"Nlevel", __pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_Nlevel, 0, (char *)"\n        The number of levels in the atomic model.\n        ", 0},
  {(char *)"Ntrans", __pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_Ntrans, 0, (char *)"\n        The number of transitions in the atomic model.\n        ", 0},
  {(char *)"vBroad", __pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_vBroad, 0, (char *)"\n        The broadening velocity associated with this atomic model in this\n        atmosphere.\n        ", 0},
  {(char *)"Gamma", __pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_Gamma, 0, (char *)"\n        The Gamma iteration matrix [Nlevel, Nlevel, Nspace].\n        ", 0},
  {(char *)"C", __pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_C, 0, (char *)"\n        The collisional rates matrix [Nlevel, Nlevel, Nspace]. This is filled\n        s.t. C_{ji} is C[i, j] to facilitate addition to Gamma.\n        ", 0},
  {(char *)"nTotal", __pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_nTotal, 0, (char *)"\n        The total number density of the model throughout the atmosphere.\n        ", 0},
  {(char *)"n", __pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_n, 0, (char *)"\n        The atomic populations (NLTE if in use) [Nlevel, Nspace].\n        ", 0},
  {(char *)"nStar", __pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_nStar, 0, (char *)"\n        The LTE populations for this species in this atmosphere [Nlevel, Nspace].\n        ", 0},
  {(char *)"stages", __pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_stages, 0, (char *)"\n        The ionisation stage of each level of this model.\n        ", 0},
  {(char *)"trans", __pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_trans, 0, (char *)"\n        List of computational transitions (LwTransition).\n        ", 0},
  {(char *)"element", __pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_element, 0, (char *)"\n        The element identifier for this atomic model.\n        ", 0},
  {(char *)"atomicModel", __pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_atomicModel, __pyx_setprop_11lightweaver_10LwCompiled_6LwAtom_atomicModel, (char *)0, 0},
  {(char *)"modelPops", __pyx_getprop_11lightweaver_10LwCompiled_6LwAtom_modelPops, __pyx_setprop_11lightweaver_10LwCompiled_6LwAtom_modelPops, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_LwAtom = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.LwAtom", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_LwAtom), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwAtom, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    Storage and access to computational atomic data used by backend. Sets up\n    the computations transitions (LwTransition) present on the model.\n    Instantiated by Context.\n\n    Attributes\n    ----------\n    atomicModel : AtomicModel\n        The atomic model object associated with this computational atom.\n    modelPops : AtomicState\n        The population data for this species, in a python accessible form.\n\n    Parameters\n    ----------\n    atom : AtomicModel\n        The atomic model object associated with this computational atom.\n    atmos : LwAtmosphere\n        The computational atmosphere to be used in the simulation.\n    eqPops : SpeciesStateTable\n        The population of species present in the simulation.\n    spect : SpectrumConfiguration\n        The configuration of the spectral grids.\n    background : LwBackground\n        The background opacity terms, currently only used in the case of\n        escape probability initial solution.\n    detailed : bool, optional\n        Whether the atom is in detailed static or fully active mode (default:\n        False).\n    initSol : InitialSolution, optional\n        The initial solution to use for the atomic populations (default: LTE).\n    ngOptions : NgOptions, optional\n        The Ng acceleration options (default: None)\n    conserveCharge : bool, optional\n        Whether to conserve charge whilst setting populations from escape\n        probability (ignored otherwise) (default: False).\n    fsIterSchemeProperties : dict, optional\n        The properties of the FsIterScheme used as a dict, can be obtained from\n        the `FsIterSchemeManager`. Only necessary keys are boolean\n        `defaultWlaGijStorage` and `defaultPerAtomStorage` to determine\n        allocation of `wla`, `gij`, `eta`, `U`, and `chi` on the underlying\n        object. If not supplied, both of these default to True.\n    ", /*tp_doc*/
  __pyx_tp_traverse_11lightweaver_10LwCompiled_LwAtom, /*tp_traverse*/
  __pyx_tp_clear_11lightweaver_10LwCompiled_LwAtom, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_LwAtom, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_11lightweaver_10LwCompiled_LwAtom, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_6LwAtom_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_LwAtom, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_LwSpectrum(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *)o);
  new((void*)&(p->spect)) Spectrum();
  p->wavelength.data = NULL;
  p->wavelength.memview = NULL;
  p->I.data = NULL;
  p->I.memview = NULL;
  p->J.data = NULL;
  p->J.memview = NULL;
  p->Quv.data = NULL;
  p->Quv.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwSpectrum(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  __Pyx_call_destructor(p->spect);
  __PYX_XDEC_MEMVIEW(&p->wavelength, 1);
  __PYX_XDEC_MEMVIEW(&p->I, 1);
  __PYX_XDEC_MEMVIEW(&p->J, 1);
  __PYX_XDEC_MEMVIEW(&p->Quv, 1);
  (*Py_TYPE(o)->tp_free)(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_10LwSpectrum_wavelength(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_10LwSpectrum_10wavelength_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_10LwSpectrum_I(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_10LwSpectrum_1I_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_10LwSpectrum_J(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_10LwSpectrum_1J_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_10LwSpectrum_Quv(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_10LwSpectrum_3Quv_1__get__(o);
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_LwSpectrum[] = {
  {"setup_stokes", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_10LwSpectrum_3setup_stokes, METH_NOARGS, 0},
  {"__getstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_10LwSpectrum_5__getstate__, METH_NOARGS, 0},
  {"__setstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_10LwSpectrum_7__setstate__, METH_O, 0},
  {"interp_J_from_state", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_10LwSpectrum_9interp_J_from_state, METH_O, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_10LwSpectrum_11__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_10LwSpectrum_13__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_11lightweaver_10LwCompiled_LwSpectrum[] = {
  {(char *)"wavelength", __pyx_getprop_11lightweaver_10LwCompiled_10LwSpectrum_wavelength, 0, (char *)"\n        Wavelength grid used [nm].\n        ", 0},
  {(char *)"I", __pyx_getprop_11lightweaver_10LwCompiled_10LwSpectrum_I, 0, (char *)"\n        Intensity [J/s/m2/sr/Hz], shape is squeeze([Nlambda, Nmu, Noutgoing]).\n        ", 0},
  {(char *)"J", __pyx_getprop_11lightweaver_10LwCompiled_10LwSpectrum_J, 0, (char *)"\n        Angle-averaged intensity [J/s/m2/sr/Hz], shape is squeeze([Nlambda, Nspace]).\n        ", 0},
  {(char *)"Quv", __pyx_getprop_11lightweaver_10LwCompiled_10LwSpectrum_Quv, 0, (char *)"\n        Q, U and V Stokes parameters [J/s/m2/sr/Hz], shape is squeeze([3,\n        Nlambda, Nmu, Noutgoing]).\n        ", 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_LwSpectrum = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.LwSpectrum", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwSpectrum, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  "\n    Storage and access to spectrum data used by backend. Instantiated by\n    Context.\n\n    Parameters\n    ----------\n    wavelength : np.ndarray\n        The wavelength grid used in the simulation [nm].\n    Nrays : int\n        The number of rays in the angular quadrature.\n    Nspace : int\n        The number of points in the atmospheric model.\n    Noutgoing : int\n        The number of outgoing point in the atmosphere, essentially\n        max(Ny*Nx, Nx, 1), (when used in an array these elements will be\n        ordered as a flattened array of [Ny, Nx]).\n    ", /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_LwSpectrum, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_11lightweaver_10LwCompiled_LwSpectrum, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_10LwSpectrum_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_LwSpectrum, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_11lightweaver_10LwCompiled_LwContext __pyx_vtable_11lightweaver_10LwCompiled_LwContext;

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_LwContext(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *)o);
  p->__pyx_vtab = __pyx_vtabptr_11lightweaver_10LwCompiled_LwContext;
  new((void*)&(p->ctx)) Context();
  p->atmos = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *)Py_None); Py_INCREF(Py_None);
  p->spect = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *)Py_None); Py_INCREF(Py_None);
  p->background = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *)Py_None); Py_INCREF(Py_None);
  p->depthData = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *)Py_None); Py_INCREF(Py_None);
  p->kwargs = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->eqPops = Py_None; Py_INCREF(Py_None);
  p->activeAtoms = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->detailedAtoms = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->crswCallback = Py_None; Py_INCREF(Py_None);
  p->crswDone = Py_None; Py_INCREF(Py_None);
  p->__dict__ = PyDict_New(); if (unlikely(!p->__dict__)) goto bad;return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwContext(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  if (p->__dict__) PyDict_Clear(p->__dict__);
  __Pyx_call_destructor(p->ctx);
  Py_CLEAR(p->atmos);
  Py_CLEAR(p->spect);
  Py_CLEAR(p->background);
  Py_CLEAR(p->depthData);
  Py_CLEAR(p->kwargs);
  Py_CLEAR(p->eqPops);
  Py_CLEAR(p->activeAtoms);
  Py_CLEAR(p->detailedAtoms);
  Py_CLEAR(p->crswCallback);
  Py_CLEAR(p->crswDone);
  Py_CLEAR(p->__dict__);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_11lightweaver_10LwCompiled_LwContext(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *)o;
  if (p->atmos) {
    e = (*v)(((PyObject *)p->atmos), a); if (e) return e;
  }
  if (p->spect) {
    e = (*v)(((PyObject *)p->spect), a); if (e) return e;
  }
  if (p->background) {
    e = (*v)(((PyObject *)p->background), a); if (e) return e;
  }
  if (p->depthData) {
    e = (*v)(((PyObject *)p->depthData), a); if (e) return e;
  }
  if (p->kwargs) {
    e = (*v)(p->kwargs, a); if (e) return e;
  }
  if (p->eqPops) {
    e = (*v)(p->eqPops, a); if (e) return e;
  }
  if (p->activeAtoms) {
    e = (*v)(p->activeAtoms, a); if (e) return e;
  }
  if (p->detailedAtoms) {
    e = (*v)(p->detailedAtoms, a); if (e) return e;
  }
  if (p->crswCallback) {
    e = (*v)(p->crswCallback, a); if (e) return e;
  }
  if (p->crswDone) {
    e = (*v)(p->crswDone, a); if (e) return e;
  }
  if (p->__dict__) {
    e = (*v)(p->__dict__, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11lightweaver_10LwCompiled_LwContext(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *)o;
  tmp = ((PyObject*)p->atmos);
  p->atmos = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwAtmosphere *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->spect);
  p->spect = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwSpectrum *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->background);
  p->background = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwBackground *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->depthData);
  p->depthData = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwDepthData *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->kwargs);
  p->kwargs = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->eqPops);
  p->eqPops = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->activeAtoms);
  p->activeAtoms = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->detailedAtoms);
  p->detailedAtoms = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->crswCallback);
  p->crswCallback = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->crswDone);
  p->crswDone = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->__dict__);
  p->__dict__ = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx___dict__getter_11lightweaver_10LwCompiled_LwContext(PyObject *o, CYTHON_UNUSED void *x) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwContext *)o;
  if (unlikely(!p->__dict__)){
    p->__dict__ = PyDict_New();
  }
  Py_XINCREF(p->__dict__);
  return p->__dict__;
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_9LwContext_Nthreads(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_8Nthreads_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_9LwContext_Nthreads(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_8Nthreads_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_9LwContext_hprd(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_4hprd_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_9LwContext_activeAtoms(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_11activeAtoms_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_9LwContext_detailedAtoms(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_13detailedAtoms_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_9LwContext_spect(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_5spect_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_9LwContext_atmos(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_5atmos_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_9LwContext_background(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_10background_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_9LwContext_depthData(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_9depthData_1__get__(o);
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_9LwContext_kwargs(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_6kwargs_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_9LwContext_kwargs(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_6kwargs_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_6kwargs_5__del__(o);
  }
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_9LwContext_eqPops(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_6eqPops_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_9LwContext_eqPops(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_6eqPops_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_6eqPops_5__del__(o);
  }
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_9LwContext_conserveCharge(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_14conserveCharge_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_9LwContext_conserveCharge(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_14conserveCharge_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_9LwContext_crswCallback(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_12crswCallback_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_9LwContext_crswCallback(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_12crswCallback_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_12crswCallback_5__del__(o);
  }
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_9LwContext_crswDone(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_8crswDone_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_9LwContext_crswDone(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_8crswDone_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_9LwContext_8crswDone_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_LwContext[] = {
  {"__getstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_3__getstate__, METH_NOARGS, 0},
  {"__setstate__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_5__setstate__, METH_O, 0},
  {"set_formal_solver", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_7set_formal_solver, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_6set_formal_solver},
  {"set_interp_fn", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_9set_interp_fn, METH_O, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_8set_interp_fn},
  {"set_fs_iter_scheme", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_11set_fs_iter_scheme, METH_O, 0},
  {"get_fs_iter_scheme_properties", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_13get_fs_iter_scheme_properties, METH_O, 0},
  {"update_threads", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_15update_threads, METH_NOARGS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_14update_threads},
  {"compute_profiles", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_17compute_profiles, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_16compute_profiles},
  {"formal_sol_gamma_matrices", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_19formal_sol_gamma_matrices, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_18formal_sol_gamma_matrices},
  {"formal_sol", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_21formal_sol, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_20formal_sol},
  {"update_deps", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_23update_deps, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_22update_deps},
  {"rel_diff_pops", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_25rel_diff_pops, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_24rel_diff_pops},
  {"rel_diff_ng_accelerate", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_27rel_diff_ng_accelerate, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_26rel_diff_ng_accelerate},
  {"time_dep_update", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_29time_dep_update, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_28time_dep_update},
  {"time_dep_restore_prev_pops", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_31time_dep_restore_prev_pops, METH_O, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_30time_dep_restore_prev_pops},
  {"clear_ng", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_33clear_ng, METH_NOARGS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_32clear_ng},
  {"stat_equil", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_35stat_equil, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_34stat_equil},
  {"_nr_post_update_impl", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_37_nr_post_update_impl, METH_VARARGS|METH_KEYWORDS, 0},
  {"update_projections", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_39update_projections, METH_NOARGS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_38update_projections},
  {"setup_stokes", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_41setup_stokes, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_40setup_stokes},
  {"single_stokes_fs", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_43single_stokes_fs, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_42single_stokes_fs},
  {"prd_redistribute", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_45prd_redistribute, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_44prd_redistribute},
  {"update_hprd_coeffs", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_47update_hprd_coeffs, METH_NOARGS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_46update_hprd_coeffs},
  {"state_dict", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_49state_dict, METH_NOARGS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_48state_dict},
  {"construct_from_state_dict_with", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_51construct_from_state_dict_with, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_50construct_from_state_dict_with},
  {"compute_rays", (PyCFunction)(void*)(PyCFunctionWithKeywords)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_53compute_rays, METH_VARARGS|METH_KEYWORDS, __pyx_doc_11lightweaver_10LwCompiled_9LwContext_52compute_rays},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_55__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_9LwContext_57__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_11lightweaver_10LwCompiled_LwContext[] = {
  {(char *)"Nthreads", __pyx_getprop_11lightweaver_10LwCompiled_9LwContext_Nthreads, __pyx_setprop_11lightweaver_10LwCompiled_9LwContext_Nthreads, (char *)"\n        The number of threads used by the formal solver. A new value can be\n        assigned to this, and the necessary support structures will be\n        automatically allocated.\n        ", 0},
  {(char *)"hprd", __pyx_getprop_11lightweaver_10LwCompiled_9LwContext_hprd, 0, (char *)"\n        Whether PRD calculations are using the Hybrid PRD mode.\n        ", 0},
  {(char *)"activeAtoms", __pyx_getprop_11lightweaver_10LwCompiled_9LwContext_activeAtoms, 0, (char *)"\n        All active computational atomic models (LwAtom).\n        ", 0},
  {(char *)"detailedAtoms", __pyx_getprop_11lightweaver_10LwCompiled_9LwContext_detailedAtoms, 0, (char *)"\n        All detailed static computational atomic models (LwAtom).\n        ", 0},
  {(char *)"spect", __pyx_getprop_11lightweaver_10LwCompiled_9LwContext_spect, 0, (char *)"\n        The spectrum storage object (LwSpectrum).\n        ", 0},
  {(char *)"atmos", __pyx_getprop_11lightweaver_10LwCompiled_9LwContext_atmos, 0, (char *)"\n        The atmospheric model storage object (LwAtmosphere).\n        ", 0},
  {(char *)"background", __pyx_getprop_11lightweaver_10LwCompiled_9LwContext_background, 0, (char *)"\n        The background storage object (LwBackground).\n        ", 0},
  {(char *)"depthData", __pyx_getprop_11lightweaver_10LwCompiled_9LwContext_depthData, 0, (char *)"\n        Configuration and storage for full depth-dependent data of large\n        parameters (LwDepthData).\n        ", 0},
  {(char *)"__dict__", __pyx___dict__getter_11lightweaver_10LwCompiled_LwContext, 0, (char *)0, 0},
  {(char *)"kwargs", __pyx_getprop_11lightweaver_10LwCompiled_9LwContext_kwargs, __pyx_setprop_11lightweaver_10LwCompiled_9LwContext_kwargs, (char *)0, 0},
  {(char *)"eqPops", __pyx_getprop_11lightweaver_10LwCompiled_9LwContext_eqPops, __pyx_setprop_11lightweaver_10LwCompiled_9LwContext_eqPops, (char *)0, 0},
  {(char *)"conserveCharge", __pyx_getprop_11lightweaver_10LwCompiled_9LwContext_conserveCharge, __pyx_setprop_11lightweaver_10LwCompiled_9LwContext_conserveCharge, (char *)0, 0},
  {(char *)"crswCallback", __pyx_getprop_11lightweaver_10LwCompiled_9LwContext_crswCallback, __pyx_setprop_11lightweaver_10LwCompiled_9LwContext_crswCallback, (char *)0, 0},
  {(char *)"crswDone", __pyx_getprop_11lightweaver_10LwCompiled_9LwContext_crswDone, __pyx_setprop_11lightweaver_10LwCompiled_9LwContext_crswDone, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_LwContext = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.LwContext", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwContext, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    Context that configures and drives the backend. Whilst the class is named\n    LwContext (to avoid cython collisions) it is exposed from the lightweaver\n    package as Context.\n\n    Attributes\n    ----------\n    kwargs : dict\n        A dictionary of all inputs provided to the context, stored as the\n        under the argument names to `__init__`.\n    eqPops : SpeciesStateTable\n        The populations of each species in the simulation.\n    conserveCharge : bool\n        Whether charge is being conserved in the calculations.\n    crswCallback : CrswIterator\n        The object controlling the value of the Collisional Radiative\n        Switching term.\n    crswDone : bool\n        Indicates whether CRSW is done (i.e. the parameter has reached 1).\n\n    Parameters\n    ----------\n    atmos : Atmosphere\n        The atmospheric structure object.\n    spect : SpectrumConfiguration\n        The configuration of wavelength grids and active atoms/transitions.\n    eqPops : SpeciesStateTable\n        The initial populations and storage for these populations during the\n        simulation.\n    ngOptions : NgOptions, optional\n        The parameters for Ng acceleration in the simulation (default: No\n        acceleration).\n    initSol : InitialSolution, optional\n        The starting solution for the population of all active species\n        (default: LTE).\n    conserveCharge : bool, optional\n        Whether to conserve charge in the simulation (default: False).\n    hprd : bool, optional\n        Whether to use the Hybrid PRD method to account for velocity shifts in the atmosphere (if PRD is used otherwise, then it is angle-averaged).\n    crswCallback : CrswIterator, optional\n        An instance of CrswIterator (or derived thereof) to control\n        collisional radiative swtiching (default: None for UnityCrswIterator\n        i.e. no CRSW).\n    Nthreads : int, optional\n        Number of threads to use in the computation of the formal solution,\n    ""    default 1.\n    backgroundProvider : BackgroundProvider, optional\n        Implementation for the background, if non-standard. Must follow the\n        BackgroundProvider interface.\n    formalSolver : str, optional\n        Name of formalSolver registered with the FormalSolvers object.\n    interpFn : str, optional\n        Name of interpolation function to use in the multi-dimensional formal\n        solver. Must be registered with InterpFns.\n    ", /*tp_doc*/
  __pyx_tp_traverse_11lightweaver_10LwCompiled_LwContext, /*tp_traverse*/
  __pyx_tp_clear_11lightweaver_10LwCompiled_LwContext, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_LwContext, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_11lightweaver_10LwCompiled_LwContext, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  offsetof(struct __pyx_obj_11lightweaver_10LwCompiled_LwContext, __dict__), /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_9LwContext_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_LwContext, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_LwFormalSolverManager(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *)o);
  new((void*)&(p->manager)) FormalSolverManager();
  p->paths = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->names = ((PyObject*)Py_None); Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwFormalSolverManager(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  __Pyx_call_destructor(p->manager);
  Py_CLEAR(p->paths);
  Py_CLEAR(p->names);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_11lightweaver_10LwCompiled_LwFormalSolverManager(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *)o;
  if (p->paths) {
    e = (*v)(p->paths, a); if (e) return e;
  }
  if (p->names) {
    e = (*v)(p->names, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11lightweaver_10LwCompiled_LwFormalSolverManager(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager *)o;
  tmp = ((PyObject*)p->paths);
  p->paths = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->names);
  p->names = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_21LwFormalSolverManager_paths(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_21LwFormalSolverManager_5paths_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_21LwFormalSolverManager_paths(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_21LwFormalSolverManager_5paths_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_21LwFormalSolverManager_5paths_5__del__(o);
  }
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_21LwFormalSolverManager_names(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_21LwFormalSolverManager_5names_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_21LwFormalSolverManager_names(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_21LwFormalSolverManager_5names_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_21LwFormalSolverManager_5names_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_LwFormalSolverManager[] = {
  {"load_fs_from_path", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_21LwFormalSolverManager_3load_fs_from_path, METH_O, __pyx_doc_11lightweaver_10LwCompiled_21LwFormalSolverManager_2load_fs_from_path},
  {"default_formal_solver", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_21LwFormalSolverManager_5default_formal_solver, METH_O, __pyx_doc_11lightweaver_10LwCompiled_21LwFormalSolverManager_4default_formal_solver},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_21LwFormalSolverManager_7__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_21LwFormalSolverManager_9__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_11lightweaver_10LwCompiled_LwFormalSolverManager[] = {
  {(char *)"paths", __pyx_getprop_11lightweaver_10LwCompiled_21LwFormalSolverManager_paths, __pyx_setprop_11lightweaver_10LwCompiled_21LwFormalSolverManager_paths, (char *)0, 0},
  {(char *)"names", __pyx_getprop_11lightweaver_10LwCompiled_21LwFormalSolverManager_names, __pyx_setprop_11lightweaver_10LwCompiled_21LwFormalSolverManager_names, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_LwFormalSolverManager = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.LwFormalSolverManager", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_LwFormalSolverManager), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwFormalSolverManager, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    Storage and enumeration of the different formal solvers loaded for use in\n    Lightweaver. There is no need to instantiate this class directly, instead\n    there is a single instance of it instantiated as `FormalSolvers`, which\n    should be used.\n\n    Attributes\n    ----------\n    paths : list of str\n        The currently loaded paths.\n    names : list of str\n        The names of all available formal solvers, each of which can be\n        passed to the Context constructor.\n    ", /*tp_doc*/
  __pyx_tp_traverse_11lightweaver_10LwCompiled_LwFormalSolverManager, /*tp_traverse*/
  __pyx_tp_clear_11lightweaver_10LwCompiled_LwFormalSolverManager, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_LwFormalSolverManager, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_11lightweaver_10LwCompiled_LwFormalSolverManager, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_21LwFormalSolverManager_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_LwFormalSolverManager, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_LwInterpFnManager(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *)o);
  new((void*)&(p->manager)) InterpFnManager();
  p->paths = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->names = ((PyObject*)Py_None); Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwInterpFnManager(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  __Pyx_call_destructor(p->manager);
  Py_CLEAR(p->paths);
  Py_CLEAR(p->names);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_11lightweaver_10LwCompiled_LwInterpFnManager(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *)o;
  if (p->paths) {
    e = (*v)(p->paths, a); if (e) return e;
  }
  if (p->names) {
    e = (*v)(p->names, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11lightweaver_10LwCompiled_LwInterpFnManager(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager *)o;
  tmp = ((PyObject*)p->paths);
  p->paths = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->names);
  p->names = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_17LwInterpFnManager_paths(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_17LwInterpFnManager_5paths_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_17LwInterpFnManager_paths(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_17LwInterpFnManager_5paths_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_17LwInterpFnManager_5paths_5__del__(o);
  }
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_17LwInterpFnManager_names(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_17LwInterpFnManager_5names_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_17LwInterpFnManager_names(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_17LwInterpFnManager_5names_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_17LwInterpFnManager_5names_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_LwInterpFnManager[] = {
  {"load_interp_fn_from_path", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_17LwInterpFnManager_3load_interp_fn_from_path, METH_O, __pyx_doc_11lightweaver_10LwCompiled_17LwInterpFnManager_2load_interp_fn_from_path},
  {"default_interp", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_17LwInterpFnManager_5default_interp, METH_O, __pyx_doc_11lightweaver_10LwCompiled_17LwInterpFnManager_4default_interp},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_17LwInterpFnManager_7__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_17LwInterpFnManager_9__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_11lightweaver_10LwCompiled_LwInterpFnManager[] = {
  {(char *)"paths", __pyx_getprop_11lightweaver_10LwCompiled_17LwInterpFnManager_paths, __pyx_setprop_11lightweaver_10LwCompiled_17LwInterpFnManager_paths, (char *)0, 0},
  {(char *)"names", __pyx_getprop_11lightweaver_10LwCompiled_17LwInterpFnManager_names, __pyx_setprop_11lightweaver_10LwCompiled_17LwInterpFnManager_names, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_LwInterpFnManager = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.LwInterpFnManager", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_LwInterpFnManager), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwInterpFnManager, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "\n    Storage and enumeration of the different interpolation functions for\n    multi-dimensional formal solvers loaded for use in Lightweaver. There is\n    no need to instantiate this class directly, instead there is a single\n    instance of it instantiated as `InterpFns`, which should be used.\n\n    Attributes\n    ----------\n    paths : list of str\n        The currently loaded paths.\n    names : list of str\n        The names of all available interpolation functions, each of which can\n        be passed to the Context constructor.\n    ", /*tp_doc*/
  __pyx_tp_traverse_11lightweaver_10LwCompiled_LwInterpFnManager, /*tp_traverse*/
  __pyx_tp_clear_11lightweaver_10LwCompiled_LwInterpFnManager, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_LwInterpFnManager, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_11lightweaver_10LwCompiled_LwInterpFnManager, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_17LwInterpFnManager_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_LwInterpFnManager, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled_LwFsIterationManager(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *)o);
  new((void*)&(p->manager)) FsIterationFnsManager();
  p->paths = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->names = ((PyObject*)Py_None); Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwFsIterationManager(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  __Pyx_call_destructor(p->manager);
  Py_CLEAR(p->paths);
  Py_CLEAR(p->names);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_11lightweaver_10LwCompiled_LwFsIterationManager(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *)o;
  if (p->paths) {
    e = (*v)(p->paths, a); if (e) return e;
  }
  if (p->names) {
    e = (*v)(p->names, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11lightweaver_10LwCompiled_LwFsIterationManager(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *p = (struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager *)o;
  tmp = ((PyObject*)p->paths);
  p->paths = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->names);
  p->names = ((PyObject*)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_20LwFsIterationManager_paths(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_20LwFsIterationManager_5paths_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_20LwFsIterationManager_paths(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_20LwFsIterationManager_5paths_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_20LwFsIterationManager_5paths_5__del__(o);
  }
}

static PyObject *__pyx_getprop_11lightweaver_10LwCompiled_20LwFsIterationManager_names(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_11lightweaver_10LwCompiled_20LwFsIterationManager_5names_1__get__(o);
}

static int __pyx_setprop_11lightweaver_10LwCompiled_20LwFsIterationManager_names(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_11lightweaver_10LwCompiled_20LwFsIterationManager_5names_3__set__(o, v);
  }
  else {
    return __pyx_pw_11lightweaver_10LwCompiled_20LwFsIterationManager_5names_5__del__(o);
  }
}

static PyMethodDef __pyx_methods_11lightweaver_10LwCompiled_LwFsIterationManager[] = {
  {"load_fns_from_path", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_20LwFsIterationManager_3load_fns_from_path, METH_O, 0},
  {"scheme_properties", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_20LwFsIterationManager_5scheme_properties, METH_O, 0},
  {"default_scheme", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_20LwFsIterationManager_7default_scheme, METH_NOARGS, 0},
  {"default_scheme_name", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_20LwFsIterationManager_9default_scheme_name, METH_NOARGS, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_20LwFsIterationManager_11__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_11lightweaver_10LwCompiled_20LwFsIterationManager_13__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_11lightweaver_10LwCompiled_LwFsIterationManager[] = {
  {(char *)"paths", __pyx_getprop_11lightweaver_10LwCompiled_20LwFsIterationManager_paths, __pyx_setprop_11lightweaver_10LwCompiled_20LwFsIterationManager_paths, (char *)0, 0},
  {(char *)"names", __pyx_getprop_11lightweaver_10LwCompiled_20LwFsIterationManager_names, __pyx_setprop_11lightweaver_10LwCompiled_20LwFsIterationManager_names, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled_LwFsIterationManager = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.LwFsIterationManager", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled_LwFsIterationManager), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled_LwFsIterationManager, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_11lightweaver_10LwCompiled_LwFsIterationManager, /*tp_traverse*/
  __pyx_tp_clear_11lightweaver_10LwCompiled_LwFsIterationManager, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_11lightweaver_10LwCompiled_LwFsIterationManager, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_11lightweaver_10LwCompiled_LwFsIterationManager, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_pw_11lightweaver_10LwCompiled_20LwFsIterationManager_1__init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled_LwFsIterationManager, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};

static struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi *__pyx_freelist_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi[8];
static int __pyx_freecount_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi = 0;

static PyObject *__pyx_tp_new_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  PyObject *o;
  if (CYTHON_COMPILING_IN_CPYTHON && likely((__pyx_freecount_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi > 0) & (t->tp_basicsize == sizeof(struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi)))) {
    o = (PyObject*)__pyx_freelist_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi[--__pyx_freecount_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi];
    memset(o, 0, sizeof(struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi));
    (void) PyObject_INIT(o, t);
    PyObject_GC_Track(o);
  } else {
    o = (*t->tp_alloc)(t, 0);
    if (unlikely(!o)) return 0;
  }
  return o;
}

static void __pyx_tp_dealloc_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi(PyObject *o) {
  struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi *p = (struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi *)o;
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->__pyx_v_self);
  if (CYTHON_COMPILING_IN_CPYTHON && ((__pyx_freecount_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi < 8) & (Py_TYPE(o)->tp_basicsize == sizeof(struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi)))) {
    __pyx_freelist_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi[__pyx_freecount_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi++] = ((struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi *)o);
  } else {
    (*Py_TYPE(o)->tp_free)(o);
  }
}

static int __pyx_tp_traverse_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi *p = (struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi *)o;
  if (p->__pyx_v_self) {
    e = (*v)(((PyObject *)p->__pyx_v_self), a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi *p = (struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi *)o;
  tmp = ((PyObject*)p->__pyx_v_self);
  p->__pyx_v_self = ((struct __pyx_obj_11lightweaver_10LwCompiled_LwTransition *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyTypeObject __pyx_type_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.__pyx_scope_struct__compute_phi", /*tp_name*/
  sizeof(struct __pyx_obj_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi, /*tp_traverse*/
  __pyx_tp_clear_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  0, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_11lightweaver_10LwCompiled___pyx_scope_struct__compute_phi, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_array __pyx_vtable_array;

static PyObject *__pyx_tp_new_array(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_array_obj *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_array_obj *)o);
  p->__pyx_vtab = __pyx_vtabptr_array;
  p->mode = ((PyObject*)Py_None); Py_INCREF(Py_None);
  p->_format = ((PyObject*)Py_None); Py_INCREF(Py_None);
  if (unlikely(__pyx_array___cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_array(PyObject *o) {
  struct __pyx_array_obj *p = (struct __pyx_array_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_array___dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->mode);
  Py_CLEAR(p->_format);
  (*Py_TYPE(o)->tp_free)(o);
}
static PyObject *__pyx_sq_item_array(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  Py_DECREF(x);
  return r;
}

static int __pyx_mp_ass_subscript_array(PyObject *o, PyObject *i, PyObject *v) {
  if (v) {
    return __pyx_array___setitem__(o, i, v);
  }
  else {
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
    return -1;
  }
}

static PyObject *__pyx_tp_getattro_array(PyObject *o, PyObject *n) {
  PyObject *v = __Pyx_PyObject_GenericGetAttr(o, n);
  if (!v && PyErr_ExceptionMatches(PyExc_AttributeError)) {
    PyErr_Clear();
    v = __pyx_array___getattr__(o, n);
  }
  return v;
}

static PyObject *__pyx_getprop___pyx_array_memview(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_5array_7memview_1__get__(o);
}

static PyMethodDef __pyx_methods_array[] = {
  {"__getattr__", (PyCFunction)__pyx_array___getattr__, METH_O|METH_COEXIST, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_array_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_array_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_array[] = {
  {(char *)"memview", __pyx_getprop___pyx_array_memview, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PySequenceMethods __pyx_tp_as_sequence_array = {
  __pyx_array___len__, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_array, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_array = {
  __pyx_array___len__, /*mp_length*/
  __pyx_array___getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_array, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_array = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  __pyx_array_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};

static PyTypeObject __pyx_type___pyx_array = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.array", /*tp_name*/
  sizeof(struct __pyx_array_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_array, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_array, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_array, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  __pyx_tp_getattro_array, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_array, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  0, /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_array, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_array, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_array, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};

static PyObject *__pyx_tp_new_Enum(PyTypeObject *t, CYTHON_UNUSED PyObject *a, CYTHON_UNUSED PyObject *k) {
  struct __pyx_MemviewEnum_obj *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_MemviewEnum_obj *)o);
  p->name = Py_None; Py_INCREF(Py_None);
  return o;
}

static void __pyx_tp_dealloc_Enum(PyObject *o) {
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  Py_CLEAR(p->name);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_Enum(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  if (p->name) {
    e = (*v)(p->name, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_Enum(PyObject *o) {
  PyObject* tmp;
  struct __pyx_MemviewEnum_obj *p = (struct __pyx_MemviewEnum_obj *)o;
  tmp = ((PyObject*)p->name);
  p->name = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_Enum[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_MemviewEnum_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type___pyx_MemviewEnum = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.Enum", /*tp_name*/
  sizeof(struct __pyx_MemviewEnum_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_Enum, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_MemviewEnum___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_Enum, /*tp_traverse*/
  __pyx_tp_clear_Enum, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_Enum, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  __pyx_MemviewEnum___init__, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_Enum, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct_memoryview __pyx_vtable_memoryview;

static PyObject *__pyx_tp_new_memoryview(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_memoryview_obj *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryview_obj *)o);
  p->__pyx_vtab = __pyx_vtabptr_memoryview;
  p->obj = Py_None; Py_INCREF(Py_None);
  p->_size = Py_None; Py_INCREF(Py_None);
  p->_array_interface = Py_None; Py_INCREF(Py_None);
  p->view.obj = NULL;
  if (unlikely(__pyx_memoryview___cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_memoryview(PyObject *o) {
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_memoryview___dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->obj);
  Py_CLEAR(p->_size);
  Py_CLEAR(p->_array_interface);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_memoryview(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  if (p->obj) {
    e = (*v)(p->obj, a); if (e) return e;
  }
  if (p->_size) {
    e = (*v)(p->_size, a); if (e) return e;
  }
  if (p->_array_interface) {
    e = (*v)(p->_array_interface, a); if (e) return e;
  }
  if (p->view.obj) {
    e = (*v)(p->view.obj, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_memoryview(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryview_obj *p = (struct __pyx_memoryview_obj *)o;
  tmp = ((PyObject*)p->obj);
  p->obj = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_size);
  p->_size = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->_array_interface);
  p->_array_interface = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  Py_CLEAR(p->view.obj);
  return 0;
}
static PyObject *__pyx_sq_item_memoryview(PyObject *o, Py_ssize_t i) {
  PyObject *r;
  PyObject *x = PyInt_FromSsize_t(i); if(!x) return 0;
  r = Py_TYPE(o)->tp_as_mapping->mp_subscript(o, x);
  Py_DECREF(x);
  return r;
}

static int __pyx_mp_ass_subscript_memoryview(PyObject *o, PyObject *i, PyObject *v) {
  if (v) {
    return __pyx_memoryview___setitem__(o, i, v);
  }
  else {
    PyErr_Format(PyExc_NotImplementedError,
      "Subscript deletion not supported by %.200s", Py_TYPE(o)->tp_name);
    return -1;
  }
}

static PyObject *__pyx_getprop___pyx_memoryview_T(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_1T_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4base_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_shape(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_5shape_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_strides(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_7strides_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_suboffsets(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_10suboffsets_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_ndim(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4ndim_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_itemsize(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_8itemsize_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_nbytes(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_6nbytes_1__get__(o);
}

static PyObject *__pyx_getprop___pyx_memoryview_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_10memoryview_4size_1__get__(o);
}

static PyMethodDef __pyx_methods_memoryview[] = {
  {"is_c_contig", (PyCFunction)__pyx_memoryview_is_c_contig, METH_NOARGS, 0},
  {"is_f_contig", (PyCFunction)__pyx_memoryview_is_f_contig, METH_NOARGS, 0},
  {"copy", (PyCFunction)__pyx_memoryview_copy, METH_NOARGS, 0},
  {"copy_fortran", (PyCFunction)__pyx_memoryview_copy_fortran, METH_NOARGS, 0},
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryview_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_memoryview[] = {
  {(char *)"T", __pyx_getprop___pyx_memoryview_T, 0, (char *)0, 0},
  {(char *)"base", __pyx_getprop___pyx_memoryview_base, 0, (char *)0, 0},
  {(char *)"shape", __pyx_getprop___pyx_memoryview_shape, 0, (char *)0, 0},
  {(char *)"strides", __pyx_getprop___pyx_memoryview_strides, 0, (char *)0, 0},
  {(char *)"suboffsets", __pyx_getprop___pyx_memoryview_suboffsets, 0, (char *)0, 0},
  {(char *)"ndim", __pyx_getprop___pyx_memoryview_ndim, 0, (char *)0, 0},
  {(char *)"itemsize", __pyx_getprop___pyx_memoryview_itemsize, 0, (char *)0, 0},
  {(char *)"nbytes", __pyx_getprop___pyx_memoryview_nbytes, 0, (char *)0, 0},
  {(char *)"size", __pyx_getprop___pyx_memoryview_size, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PySequenceMethods __pyx_tp_as_sequence_memoryview = {
  __pyx_memoryview___len__, /*sq_length*/
  0, /*sq_concat*/
  0, /*sq_repeat*/
  __pyx_sq_item_memoryview, /*sq_item*/
  0, /*sq_slice*/
  0, /*sq_ass_item*/
  0, /*sq_ass_slice*/
  0, /*sq_contains*/
  0, /*sq_inplace_concat*/
  0, /*sq_inplace_repeat*/
};

static PyMappingMethods __pyx_tp_as_mapping_memoryview = {
  __pyx_memoryview___len__, /*mp_length*/
  __pyx_memoryview___getitem__, /*mp_subscript*/
  __pyx_mp_ass_subscript_memoryview, /*mp_ass_subscript*/
};

static PyBufferProcs __pyx_tp_as_buffer_memoryview = {
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getreadbuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getwritebuffer*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getsegcount*/
  #endif
  #if PY_MAJOR_VERSION < 3
  0, /*bf_getcharbuffer*/
  #endif
  __pyx_memoryview_getbuffer, /*bf_getbuffer*/
  0, /*bf_releasebuffer*/
};

static PyTypeObject __pyx_type___pyx_memoryview = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled.memoryview", /*tp_name*/
  sizeof(struct __pyx_memoryview_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_memoryview, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  __pyx_memoryview___repr__, /*tp_repr*/
  0, /*tp_as_number*/
  &__pyx_tp_as_sequence_memoryview, /*tp_as_sequence*/
  &__pyx_tp_as_mapping_memoryview, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  __pyx_memoryview___str__, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  &__pyx_tp_as_buffer_memoryview, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  0, /*tp_doc*/
  __pyx_tp_traverse_memoryview, /*tp_traverse*/
  __pyx_tp_clear_memoryview, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_memoryview, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_memoryview, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_memoryview, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};
static struct __pyx_vtabstruct__memoryviewslice __pyx_vtable__memoryviewslice;

static PyObject *__pyx_tp_new__memoryviewslice(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_memoryviewslice_obj *p;
  PyObject *o = __pyx_tp_new_memoryview(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_memoryviewslice_obj *)o);
  p->__pyx_base.__pyx_vtab = (struct __pyx_vtabstruct_memoryview*)__pyx_vtabptr__memoryviewslice;
  p->from_object = Py_None; Py_INCREF(Py_None);
  p->from_slice.memview = NULL;
  return o;
}

static void __pyx_tp_dealloc__memoryviewslice(PyObject *o) {
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) + 1);
    __pyx_memoryviewslice___dealloc__(o);
    __Pyx_SET_REFCNT(o, Py_REFCNT(o) - 1);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->from_object);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_memoryview(o);
}

static int __pyx_tp_traverse__memoryviewslice(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  e = __pyx_tp_traverse_memoryview(o, v, a); if (e) return e;
  if (p->from_object) {
    e = (*v)(p->from_object, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear__memoryviewslice(PyObject *o) {
  PyObject* tmp;
  struct __pyx_memoryviewslice_obj *p = (struct __pyx_memoryviewslice_obj *)o;
  __pyx_tp_clear_memoryview(o);
  tmp = ((PyObject*)p->from_object);
  p->from_object = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  __PYX_XDEC_MEMVIEW(&p->from_slice, 1);
  return 0;
}

static PyObject *__pyx_getprop___pyx_memoryviewslice_base(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_15View_dot_MemoryView_16_memoryviewslice_4base_1__get__(o);
}

static PyMethodDef __pyx_methods__memoryviewslice[] = {
  {"__reduce_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_1__reduce_cython__, METH_NOARGS, 0},
  {"__setstate_cython__", (PyCFunction)__pyx_pw___pyx_memoryviewslice_3__setstate_cython__, METH_O, 0},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets__memoryviewslice[] = {
  {(char *)"base", __pyx_getprop___pyx_memoryviewslice_base, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type___pyx_memoryviewslice = {
  PyVarObject_HEAD_INIT(0, 0)
  "lightweaver.LwCompiled._memoryviewslice", /*tp_name*/
  sizeof(struct __pyx_memoryviewslice_obj), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc__memoryviewslice, /*tp_dealloc*/
  #if PY_VERSION_HEX < 0x030800b4
  0, /*tp_print*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4
  0, /*tp_vectorcall_offset*/
  #endif
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_memoryview___repr__, /*tp_repr*/
  #else
  0, /*tp_repr*/
  #endif
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  #if CYTHON_COMPILING_IN_PYPY
  __pyx_memoryview___str__, /*tp_str*/
  #else
  0, /*tp_str*/
  #endif
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "Internal class for passing memoryview slices to Python", /*tp_doc*/
  __pyx_tp_traverse__memoryviewslice, /*tp_traverse*/
  __pyx_tp_clear__memoryviewslice, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods__memoryviewslice, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets__memoryviewslice, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new__memoryviewslice, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
  0, /*tp_vectorcall*/
  #endif
  #if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
  0, /*tp_print*/
  #endif
  #if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
  0, /*tp_pypy_flags*/
  #endif
};

static PyMethodDef __pyx_methods[] = {
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};

#if PY_MAJOR_VERSION >= 3
#if CYTHON_PEP489_MULTI_PHASE_INIT
static PyObject* __pyx_pymod_create(PyObject *spec, PyModuleDef *def); /*proto*/
static int __pyx_pymod_exec_LwCompiled(PyObject* module); /*proto*/
static PyModuleDef_Slot __pyx_moduledef_slots[] = {
  {Py_mod_create, (void*)__pyx_pymod_create},
  {Py_mod_exec, (void*)__pyx_pymod_exec_LwCompiled},
  {0, NULL}
};
#endif

static struct PyModuleDef __pyx_moduledef = {
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  #if CYTHON_PEP489_MULTI_PHASE_INIT
    0, /* m_size */
  #else
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  #if CYTHON_PEP489_MULTI_PHASE_INIT
    __pyx_moduledef_slots, /* m_slots */
  #else
    NULL, /* m_reload */
  #endif
    NULL, /* m_traverse */
    NULL, /* m_clear */
    NULL /* m_free */
};
#endif
#ifndef CYTHON_SMALL_CODE
#if defined(__clang__)
    #define CYTHON_SMALL_CODE
#elif defined(__GNUC__) && (__GNUC__ > 4 || (__GNUC__ == 4 && __GNUC_MINOR__ >= 3))
    #define CYTHON_SMALL_CODE __attribute__((cold))
#else
    #define CYTHON_SMALL_CODE
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 *     @staticmethod
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            PyObject *exc_value, *exc_tb;
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            exc_tb = tstate->curexc_traceback;
            tstate->curexc_type = 0;
            tstate->curexc_value = 0;
            tstate->curexc_traceback = 0;
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#else
    if (unlikely(PyErr_Occurred())) {
        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
            PyErr_Clear();
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#endif
}

/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = __Pyx_PyFrame_GetLocalsplus(f);
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, Py_ssize_t nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
        return NULL;
    }
    if (
#if PY_MAJOR_VERSION >= 3
            co->co_kwonlyargcount == 0 &&
#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, (int)nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif
#endif

/* PyObjectCall */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = Py_TYPE(func)->tp_call;
    if (unlikely(!call))
        return PyObject_Call(func, arg, kw);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = (*call)(func, arg, kw);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectCallMethO */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg) {
    PyObject *self, *result;
    PyCFunction cfunc;
    cfunc = PyCFunction_GET_FUNCTION(func);
    self = PyCFunction_GET_SELF(func);
    if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))
        return NULL;
    result = cfunc(self, arg);
    Py_LeaveRecursiveCall();
    if (unlikely(!result) && unlikely(!PyErr_Occurred())) {
        PyErr_SetString(
            PyExc_SystemError,
            "NULL result without error in PyObject_Call");
    }
    return result;
}
#endif

/* PyObjectCallNoArg */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, NULL, 0);
    }
#endif
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || __Pyx_CyFunction_Check(func)))
#else
    if (likely(PyCFunction_Check(func)))
#endif
    {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

/* PyCFunctionFastCall */
#if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
    PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
    PyObject *self = PyCFunction_GET_SELF(func);
    int flags = PyCFunction_GET_FLAGS(func);
    assert(PyCFunction_Check(func));
    assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS | METH_STACKLESS)));
    assert(nargs >= 0);
    assert(nargs == 0 || args != NULL);
    /* _PyCFunction_FastCallDict() must not be called with an exception set,
       because it may clear it (directly or indirectly) and so the
       caller loses its exception */
    assert(!PyErr_Occurred());
    if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
        return (*((__Pyx_PyCFunctionFastWithKeywords)(void*)meth)) (self, args, nargs, NULL);
    } else {
        return (*((__Pyx_PyCFunctionFast)(void*)meth)) (self, args, nargs);
    }
}
#endif

/* PyObjectCallOneArg */
#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#if CYTHON_FAST_PYCALL
    if (PyFunction_Check(func)) {
        return __Pyx_PyFunction_FastCall(func, &arg, 1);
    }
#endif
    if (likely(PyCFunction_Check(func))) {
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
#if CYTHON_FAST_PYCCALL
        } else if (__Pyx_PyFastCFunction_Check(func)) {
            return __Pyx_PyCFunction_FastCall(func, &arg, 1);
#endif
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_Pack(1, arg);
    if (unlikely(!args)) return NULL;
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
#endif

/* PyObjectGetMethod */
static int __Pyx_PyObject_GetMethod(PyObject *obj, PyObject *name, PyObject **method) {
    PyObject *attr;
#if CYTHON_UNPACK_METHODS && CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_PYTYPE_LOOKUP
    PyTypeObject *tp = Py_TYPE(obj);
    PyObject *descr;
    descrgetfunc f = NULL;
    PyObject **dictptr, *dict;
    int meth_found = 0;
    assert (*method == NULL);
    if (unlikely(tp->tp_getattro != PyObject_GenericGetAttr)) {
        attr = __Pyx_PyObject_GetAttrStr(obj, name);
        goto try_unpack;
    }
    if (unlikely(tp->tp_dict == NULL) && unlikely(PyType_Ready(tp) < 0)) {
        return 0;
    }
    descr = _PyType_Lookup(tp, name);
    if (likely(descr != NULL)) {
        Py_INCREF(descr);
#if PY_MAJOR_VERSION >= 3
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr) || (Py_TYPE(descr) == &PyMethodDescr_Type)))
        #endif
#else
        #ifdef __Pyx_CyFunction_USED
        if (likely(PyFunction_Check(descr) || __Pyx_CyFunction_Check(descr)))
        #else
        if (likely(PyFunction_Check(descr)))
        #endif
#endif
        {
            meth_found = 1;
        } else {
            f = Py_TYPE(descr)->tp_descr_get;
            if (f != NULL && PyDescr_IsData(descr)) {
                attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
                Py_DECREF(descr);
                goto try_unpack;
            }
        }
    }
    dictptr = _PyObject_GetDictPtr(obj);
    if (dictptr != NULL && (dict = *dictptr) != NULL) {
        Py_INCREF(dict);
        attr = __Pyx_PyDict_GetItemStr(dict, name);
        if (attr != NULL) {
            Py_INCREF(attr);
            Py_DECREF(dict);
            Py_XDECREF(descr);
            goto try_unpack;
        }
        Py_DECREF(dict);
    }
    if (meth_found) {
        *method = descr;
        return 1;
    }
    if (f != NULL) {
        attr = f(descr, obj, (PyObject *)Py_TYPE(obj));
        Py_DECREF(descr);
        goto try_unpack;
    }
    if (descr != NULL) {
        *method = descr;
        return 0;
    }
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(name));
#endif
    return 0;
#else
    attr = __Pyx_PyObject_GetAttrStr(obj, name);
    goto try_unpack;
#endif
try_unpack:
#if CYTHON_UNPACK_METHODS
    if (likely(attr) && PyMethod_Check(attr) && likely(PyMethod_GET_SELF(attr) == obj)) {
        PyObject *function = PyMethod_GET_FUNCTION(attr);
        Py_INCREF(function);
        Py_DECREF(attr);
        *method = function;
        return 1;
    }
#endif
    *method = attr;
    return 0;
}

/* PyObjectCallMethod0 */
static PyObject* __Pyx_PyObject_CallMethod0(PyObject* obj, PyObject* method_name) {
    PyObject *method = NULL, *result = NULL;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_CallOneArg(method, obj);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) goto bad;
    result = __Pyx_PyObject_CallNoArg(method);
    Py_DECREF(method);
bad:
    return result;
}

/* RaiseNeedMoreValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index) {
    PyErr_Format(PyExc_ValueError,
                 "need more than %" CYTHON_FORMAT_SSIZE_T "d value%.1s to unpack",
                 index, (index == 1) ? "" : "s");
}

/* RaiseTooManyValuesToUnpack */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected) {
    PyErr_Format(PyExc_ValueError,
                 "too many values to unpack (expected %" CYTHON_FORMAT_SSIZE_T "d)", expected);
}

/* UnpackItemEndCheck */
static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    } else {
        return __Pyx_IterFinish();
    }
    return 0;
}

/* RaiseNoneIterError */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not iterable");
}

/* UnpackTupleError */
static void __Pyx_UnpackTupleError(PyObject *t, Py_ssize_t index) {
    if (t == Py_None) {
      __Pyx_RaiseNoneNotIterableError();
    } else if (PyTuple_GET_SIZE(t) < index) {
      __Pyx_RaiseNeedMoreValuesError(PyTuple_GET_SIZE(t));
    } else {
      __Pyx_RaiseTooManyValuesError(index);
    }
}

/* UnpackTuple2 */
static CYTHON_INLINE int __Pyx_unpack_tuple2_exact(
        PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2, int decref_tuple) {
    PyObject *value1 = NULL, *value2 = NULL;
#if CYTHON_COMPILING_IN_PYPY
    value1 = PySequence_ITEM(tuple, 0);  if (unlikely(!value1)) goto bad;
    value2 = PySequence_ITEM(tuple, 1);  if (unlikely(!value2)) goto bad;
#else
    value1 = PyTuple_GET_ITEM(tuple, 0);  Py_INCREF(value1);
    value2 = PyTuple_GET_ITEM(tuple, 1);  Py_INCREF(value2);
#endif
    if (decref_tuple) {
        Py_DECREF(tuple);
    }
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
#if CYTHON_COMPILING_IN_PYPY
bad:
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
#endif
}
static int __Pyx_unpack_tuple2_generic(PyObject* tuple, PyObject** pvalue1, PyObject** pvalue2,
                                       int has_known_size, int decref_tuple) {
    Py_ssize_t index;
    PyObject *value1 = NULL, *value2 = NULL, *iter = NULL;
    iternextfunc iternext;
    iter = PyObject_GetIter(tuple);
    if (unlikely(!iter)) goto bad;
    if (decref_tuple) { Py_DECREF(tuple); tuple = NULL; }
    iternext = Py_TYPE(iter)->tp_iternext;
    value1 = iternext(iter); if (unlikely(!value1)) { index = 0; goto unpacking_failed; }
    value2 = iternext(iter); if (unlikely(!value2)) { index = 1; goto unpacking_failed; }
    if (!has_known_size && unlikely(__Pyx_IternextUnpackEndCheck(iternext(iter), 2))) goto bad;
    Py_DECREF(iter);
    *pvalue1 = value1;
    *pvalue2 = value2;
    return 0;
unpacking_failed:
    if (!has_known_size && __Pyx_IterFinish() == 0)
        __Pyx_RaiseNeedMoreValuesError(index);
bad:
    Py_XDECREF(iter);
    Py_XDECREF(value1);
    Py_XDECREF(value2);
    if (decref_tuple) { Py_XDECREF(tuple); }
    return -1;
}

/* dict_iter */
static CYTHON_INLINE PyObject* __Pyx_dict_iterator(PyObject* iterable, int is_dict, PyObject* method_name,
                                                   Py_ssize_t* p_orig_length, int* p_source_is_dict) {
    is_dict = is_dict || likely(PyDict_CheckExact(iterable));
    *p_source_is_dict = is_dict;
    if (is_dict) {
#if !CYTHON_COMPILING_IN_PYPY
        *p_orig_length = PyDict_Size(iterable);
        Py_INCREF(iterable);
        return iterable;
#elif PY_MAJOR_VERSION >= 3
        static PyObject *py_items = NULL, *py_keys = NULL, *py_values = NULL;
        PyObject **pp = NULL;
        if (method_name) {
            const char *name = PyUnicode_AsUTF8(method_name);
            if (strcmp(name, "iteritems") == 0) pp = &py_items;
            else if (strcmp(name, "iterkeys") == 0) pp = &py_keys;
            else if (strcmp(name, "itervalues") == 0) pp = &py_values;
            if (pp) {
                if (!*pp) {
                    *pp = PyUnicode_FromString(name + 4);
                    if (!*pp)
                        return NULL;
                }
                method_name = *pp;
            }
        }
#endif
    }
    *p_orig_length = 0;
    if (method_name) {
        PyObject* iter;
        iterable = __Pyx_PyObject_CallMethod0(iterable, method_name);
        if (!iterable)
            return NULL;
#if !CYTHON_COMPILING_IN_PYPY
        if (PyTuple_CheckExact(iterable) || PyList_CheckExact(iterable))
            return iterable;
#endif
        iter = PyObject_GetIter(iterable);
        Py_DECREF(iterable);
        return iter;
    }
    return PyObject_GetIter(iterable);
}
static CYTHON_INLINE int __Pyx_dict_iter_next(
        PyObject* iter_obj, CYTHON_NCP_UNUSED Py_ssize_t orig_length, CYTHON_NCP_UNUSED Py_ssize_t* ppos,
        PyObject** pkey, PyObject** pvalue, PyObject** pitem, int source_is_dict) {
    PyObject* next_item;
#if !CYTHON_COMPILING_IN_PYPY
    if (source_is_dict) {
        PyObject *key, *value;
        if (unlikely(orig_length != PyDict_Size(iter_obj))) {
            PyErr_SetString(PyExc_RuntimeError, "dictionary changed size during iteration");
            return -1;
        }
        if (unlikely(!PyDict_Next(iter_obj, ppos, &key, &value))) {
            return 0;
        }
        if (pitem) {
            PyObject* tuple = PyTuple_New(2);
            if (unlikely(!tuple)) {
                return -1;
            }
            Py_INCREF(key);
            Py_INCREF(value);
            PyTuple_SET_ITEM(tuple, 0, key);
            PyTuple_SET_ITEM(tuple, 1, value);
            *pitem = tuple;
        } else {
            if (pkey) {
                Py_INCREF(key);
                *pkey = key;
            }
            if (pvalue) {
                Py_INCREF(value);
                *pvalue = value;
            }
        }
        return 1;
    } else if (PyTuple_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyTuple_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyTuple_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else if (PyList_CheckExact(iter_obj)) {
        Py_ssize_t pos = *ppos;
        if (unlikely(pos >= PyList_GET_SIZE(iter_obj))) return 0;
        *ppos = pos + 1;
        next_item = PyList_GET_ITEM(iter_obj, pos);
        Py_INCREF(next_item);
    } else
#endif
    {
        next_item = PyIter_Next(iter_obj);
        if (unlikely(!next_item)) {
            return __Pyx_IterFinish();
        }
    }
    if (pitem) {
        *pitem = next_item;
    } else if (pkey && pvalue) {
        if (__Pyx_unpack_tuple2(next_item, pkey, pvalue, source_is_dict, source_is_dict, 1))
            return -1;
    } else if (pkey) {
        *pkey = next_item;
    } else {
        *pvalue = next_item;
    }
    return 1;
}

/* JoinPyUnicode */
static PyObject* __Pyx_PyUnicode_Join(PyObject* value_tuple, Py_ssize_t value_count, Py_ssize_t result_ulength,
                                      CYTHON_UNUSED Py_UCS4 max_char) {
#if CYTHON_USE_UNICODE_INTERNALS && CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    PyObject *result_uval;
    int result_ukind;
    Py_ssize_t i, char_pos;
    void *result_udata;
#if CYTHON_PEP393_ENABLED
    result_uval = PyUnicode_New(result_ulength, max_char);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = (max_char <= 255) ? PyUnicode_1BYTE_KIND : (max_char <= 65535) ? PyUnicode_2BYTE_KIND : PyUnicode_4BYTE_KIND;
    result_udata = PyUnicode_DATA(result_uval);
#else
    result_uval = PyUnicode_FromUnicode(NULL, result_ulength);
    if (unlikely(!result_uval)) return NULL;
    result_ukind = sizeof(Py_UNICODE);
    result_udata = PyUnicode_AS_UNICODE(result_uval);
#endif
    char_pos = 0;
    for (i=0; i < value_count; i++) {
        int ukind;
        Py_ssize_t ulength;
        void *udata;
        PyObject *uval = PyTuple_GET_ITEM(value_tuple, i);
        if (unlikely(__Pyx_PyUnicode_READY(uval)))
            goto bad;
        ulength = __Pyx_PyUnicode_GET_LENGTH(uval);
        if (unlikely(!ulength))
            continue;
        if (unlikely(char_pos + ulength < 0))
            goto overflow;
        ukind = __Pyx_PyUnicode_KIND(uval);
        udata = __Pyx_PyUnicode_DATA(uval);
        if (!CYTHON_PEP393_ENABLED || ukind == result_ukind) {
            memcpy((char *)result_udata + char_pos * result_ukind, udata, (size_t) (ulength * result_ukind));
        } else {
            #if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030300F0 || defined(_PyUnicode_FastCopyCharacters)
            _PyUnicode_FastCopyCharacters(result_uval, char_pos, uval, 0, ulength);
            #else
            Py_ssize_t j;
            for (j=0; j < ulength; j++) {
                Py_UCS4 uchar = __Pyx_PyUnicode_READ(ukind, udata, j);
                __Pyx_PyUnicode_WRITE(result_ukind, result_udata, char_pos+j, uchar);
            }
            #endif
        }
        char_pos += ulength;
    }
    return result_uval;
overflow:
    PyErr_SetString(PyExc_OverflowError, "join() result is too long for a Python string");
bad:
    Py_DECREF(result_uval);
    return NULL;
#else
    result_ulength++;
    value_count++;
    return PyUnicode_Join(__pyx_empty_unicode, value_tuple);
#endif
}

/* PyErrFetchRestore */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
}
#endif

/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *cause) {
    __Pyx_PyThreadState_declare
    Py_XINCREF(type);
    if (!value || value == Py_None)
        value = NULL;
    else
        Py_INCREF(value);
    if (!tb || tb == Py_None)
        tb = NULL;
    else {
        Py_INCREF(tb);
        if (!PyTraceBack_Check(tb)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: arg 3 must be a traceback or None");
            goto raise_error;
        }
    }
    if (PyType_Check(type)) {
#if CYTHON_COMPILING_IN_PYPY
        if (!value) {
            Py_INCREF(Py_None);
            value = Py_None;
        }
#endif
        PyErr_NormalizeException(&type, &value, &tb);
    } else {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        value = type;
        type = (PyObject*) Py_TYPE(type);
        Py_INCREF(type);
        if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
            PyErr_SetString(PyExc_TypeError,
                "raise: exception class must be a subclass of BaseException");
            goto raise_error;
        }
    }
    __Pyx_PyThreadState_assign
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}
#else
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    PyObject* owned_instance = NULL;
    if (tb == Py_None) {
        tb = 0;
    } else if (tb && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto bad;
    }
    if (value == Py_None)
        value = 0;
    if (PyExceptionInstance_Check(type)) {
        if (value) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto bad;
        }
        value = type;
        type = (PyObject*) Py_TYPE(value);
    } else if (PyExceptionClass_Check(type)) {
        PyObject *instance_class = NULL;
        if (value && PyExceptionInstance_Check(value)) {
            instance_class = (PyObject*) Py_TYPE(value);
            if (instance_class != type) {
                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
    if (cause) {
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = __Pyx_PyThreadState_Current;
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* PyObjectCall2Args */
static CYTHON_UNUSED PyObject* __Pyx_PyObject_Call2Args(PyObject* function, PyObject* arg1, PyObject* arg2) {
    PyObject *args, *result = NULL;
    #if CYTHON_FAST_PYCALL
    if (PyFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyFunction_FastCall(function, args, 2);
    }
    #endif
    #if CYTHON_FAST_PYCCALL
    if (__Pyx_PyFastCFunction_Check(function)) {
        PyObject *args[2] = {arg1, arg2};
        return __Pyx_PyCFunction_FastCall(function, args, 2);
    }
    #endif
    args = PyTuple_New(2);
    if (unlikely(!args)) goto done;
    Py_INCREF(arg1);
    PyTuple_SET_ITEM(args, 0, arg1);
    Py_INCREF(arg2);
    PyTuple_SET_ITEM(args, 1, arg2);
    Py_INCREF(function);
    result = __Pyx_PyObject_Call(function, args, NULL);
    Py_DECREF(args);
    Py_DECREF(function);
done:
    return result;
}

/* PyDictVersioning */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    return likely(dict) ? __PYX_GET_DICT_VERSION(dict) : 0;
}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj) {
    PyObject **dictptr = NULL;
    Py_ssize_t offset = Py_TYPE(obj)->tp_dictoffset;
    if (offset) {
#if CYTHON_COMPILING_IN_CPYTHON
        dictptr = (likely(offset > 0)) ? (PyObject **) ((char *)obj + offset) : _PyObject_GetDictPtr(obj);
#else
        dictptr = _PyObject_GetDictPtr(obj);
#endif
    }
    return (dictptr && *dictptr) ? __PYX_GET_DICT_VERSION(*dictptr) : 0;
}
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version) {
    PyObject *dict = Py_TYPE(obj)->tp_dict;
    if (unlikely(!dict) || unlikely(tp_dict_version != __PYX_GET_DICT_VERSION(dict)))
        return 0;
    return obj_dict_version == __Pyx_get_object_dict_version(obj);
}
#endif

/* GetModuleGlobalName */
#if CYTHON_USE_DICT_VERSIONS
static PyObject *__Pyx__GetModuleGlobalName(PyObject *name, PY_UINT64_T *dict_version, PyObject **dict_cached_value)
#else
static CYTHON_INLINE PyObject *__Pyx__GetModuleGlobalName(PyObject *name)
#endif
{
    PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
    result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    } else if (unlikely(PyErr_Occurred())) {
        return NULL;
    }
#else
    result = PyDict_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
#endif
#else
    result = PyObject_GetItem(__pyx_d, name);
    __PYX_UPDATE_DICT_CACHE(__pyx_d, result, *dict_cached_value, *dict_version)
    if (likely(result)) {
        return __Pyx_NewRef(result);
    }
    PyErr_Clear();
#endif
    return __Pyx_GetBuiltinName(name);
}

/* PyIntCompare */
static CYTHON_INLINE PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a == b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = Py_SIZE(op1);
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        if (intval == 0) {
            if (size == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (size >= 0)
                Py_RETURN_FALSE;
            intval = -intval;
            size = -size;
        } else {
            if (size <= 0)
                Py_RETURN_FALSE;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        if (unequal == 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
        if ((double)a == (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    return (
        PyObject_RichCompare(op1, op2, Py_EQ));
}

/* MemviewSliceInit */
static int
__Pyx_init_memviewslice(struct __pyx_memoryview_obj *memview,
                        int ndim,
                        __Pyx_memviewslice *memviewslice,
                        int memview_is_new_reference)
{
    __Pyx_RefNannyDeclarations
    int i, retval=-1;
    Py_buffer *buf = &memview->view;
    __Pyx_RefNannySetupContext("init_memviewslice", 0);
    if (unlikely(memviewslice->memview || memviewslice->data)) {
        PyErr_SetString(PyExc_ValueError,
            "memviewslice is already initialized!");
        goto fail;
    }
    if (buf->strides) {
        for (i = 0; i < ndim; i++) {
            memviewslice->strides[i] = buf->strides[i];
        }
    } else {
        Py_ssize_t stride = buf->itemsize;
        for (i = ndim - 1; i >= 0; i--) {
            memviewslice->strides[i] = stride;
            stride *= buf->shape[i];
        }
    }
    for (i = 0; i < ndim; i++) {
        memviewslice->shape[i]   = buf->shape[i];
        if (buf->suboffsets) {
            memviewslice->suboffsets[i] = buf->suboffsets[i];
        } else {
            memviewslice->suboffsets[i] = -1;
        }
    }
    memviewslice->memview = memview;
    memviewslice->data = (char *)buf->buf;
    if (__pyx_add_acquisition_count(memview) == 0 && !memview_is_new_reference) {
        Py_INCREF(memview);
    }
    retval = 0;
    goto no_fail;
fail:
    memviewslice->memview = 0;
    memviewslice->data = 0;
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}
#ifndef Py_NO_RETURN
#define Py_NO_RETURN
#endif
static void __pyx_fatalerror(const char *fmt, ...) Py_NO_RETURN {
    va_list vargs;
    char msg[200];
#ifdef HAVE_STDARG_PROTOTYPES
    va_start(vargs, fmt);
#else
    va_start(vargs);
#endif
    vsnprintf(msg, 200, fmt, vargs);
    va_end(vargs);
    Py_FatalError(msg);
}
static CYTHON_INLINE int
__pyx_add_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)++;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE int
__pyx_sub_acquisition_count_locked(__pyx_atomic_int *acquisition_count,
                                   PyThread_type_lock lock)
{
    int result;
    PyThread_acquire_lock(lock, 1);
    result = (*acquisition_count)--;
    PyThread_release_lock(lock);
    return result;
}
static CYTHON_INLINE void
__Pyx_INC_MEMVIEW(__Pyx_memviewslice *memslice, int have_gil, int lineno)
{
    int first_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (unlikely(!memview || (PyObject *) memview == Py_None))
        return;
    if (unlikely(__pyx_get_slice_count(memview) < 0))
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    first_time = __pyx_add_acquisition_count(memview) == 0;
    if (unlikely(first_time)) {
        if (have_gil) {
            Py_INCREF((PyObject *) memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_INCREF((PyObject *) memview);
            PyGILState_Release(_gilstate);
        }
    }
}
static CYTHON_INLINE void __Pyx_XDEC_MEMVIEW(__Pyx_memviewslice *memslice,
                                             int have_gil, int lineno) {
    int last_time;
    struct __pyx_memoryview_obj *memview = memslice->memview;
    if (unlikely(!memview || (PyObject *) memview == Py_None)) {
        memslice->memview = NULL;
        return;
    }
    if (unlikely(__pyx_get_slice_count(memview) <= 0))
        __pyx_fatalerror("Acquisition count is %d (line %d)",
                         __pyx_get_slice_count(memview), lineno);
    last_time = __pyx_sub_acquisition_count(memview) == 1;
    memslice->data = NULL;
    if (unlikely(last_time)) {
        if (have_gil) {
            Py_CLEAR(memslice->memview);
        } else {
            PyGILState_STATE _gilstate = PyGILState_Ensure();
            Py_CLEAR(memslice->memview);
            PyGILState_Release(_gilstate);
        }
    } else {
        memslice->memview = NULL;
    }
}

/* WriteUnraisableException */
static void __Pyx_WriteUnraisable(const char *name, CYTHON_UNUSED int clineno,
                                  CYTHON_UNUSED int lineno, CYTHON_UNUSED const char *filename,
                                  int full_traceback, CYTHON_UNUSED int nogil) {
    PyObject *old_exc, *old_val, *old_tb;
    PyObject *ctx;
    __Pyx_PyThreadState_declare
#ifdef WITH_THREAD
    PyGILState_STATE state;
    if (nogil)
        state = PyGILState_Ensure();
#ifdef _MSC_VER
    else state = (PyGILState_STATE)-1;
#endif
#endif
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&old_exc, &old_val, &old_tb);
    if (full_traceback) {
        Py_XINCREF(old_exc);
        Py_XINCREF(old_val);
        Py_XINCREF(old_tb);
        __Pyx_ErrRestore(old_exc, old_val, old_tb);
        PyErr_PrintEx(1);
    }
    #if PY_MAJOR_VERSION < 3
    ctx = PyString_FromString(name);
    #else
    ctx = PyUnicode_FromString(name);
    #endif
    __Pyx_ErrRestore(old_exc, old_val, old_tb);
    if (!ctx) {
        PyErr_WriteUnraisable(Py_None);
    } else {
        PyErr_WriteUnraisable(ctx);
        Py_DECREF(ctx);
    }
#ifdef WITH_THREAD
    if (nogil)
        PyGILState_Release(state);
#endif
}

/* RaiseArgTupleInvalid */
static void __Pyx_RaiseArgtupleInvalid(
    const char* func_name,
    int exact,
    Py_ssize_t num_min,
    Py_ssize_t num_max,
    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

/* RaiseDoubleKeywords */
static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        #if PY_MAJOR_VERSION >= 3
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
        #else
        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AsString(kw_name));
        #endif
}

/* ParseKeywords */
static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    while (PyDict_Next(kwds, &pos, &key, &value)) {
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
            continue;
        }
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
                    }
                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (**name == key) ? 0 :
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (__Pyx_PyUnicode_GET_LENGTH(**name) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key);
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (__Pyx_PyUnicode_GET_LENGTH(**argname) != __Pyx_PyUnicode_GET_LENGTH(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

/* GetTopmostException */
#if CYTHON_USE_EXC_INFO_STACK
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_type == NULL || exc_info->exc_type == Py_None) &&
           exc_info->previous_item != NULL)
    {
        exc_info = exc_info->previous_item;
    }
    return exc_info;
}
#endif

/* SaveResetException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    *type = exc_info->exc_type;
    *value = exc_info->exc_value;
    *tb = exc_info->exc_traceback;
    #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    #endif
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = type;
    exc_info->exc_value = value;
    exc_info->exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
#endif

/* PyErrExceptionMatches */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    PyObject *exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
    if (unlikely(PyTuple_Check(err)))
        return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);
    return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
}
#endif

/* GetException */
#if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb)
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb)
#endif
{
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if CYTHON_USE_EXC_INFO_STACK
    {
        _PyErr_StackItem *exc_info = tstate->exc_info;
        tmp_type = exc_info->exc_type;
        tmp_value = exc_info->exc_value;
        tmp_tb = exc_info->exc_traceback;
        exc_info->exc_type = local_type;
        exc_info->exc_value = local_value;
        exc_info->exc_traceback = local_tb;
    }
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

/* DictGetItem */
#if PY_MAJOR_VERSION >= 3 && !CYTHON_COMPILING_IN_PYPY
static PyObject *__Pyx_PyDict_GetItem(PyObject *d, PyObject* key) {
    PyObject *value;
    value = PyDict_GetItemWithError(d, key);
    if (unlikely(!value)) {
        if (!PyErr_Occurred()) {
            if (unlikely(PyTuple_Check(key))) {
                PyObject* args = PyTuple_Pack(1, key);
                if (likely(args)) {
                    PyErr_SetObject(PyExc_KeyError, args);
                    Py_DECREF(args);
                }
            } else {
                PyErr_SetObject(PyExc_KeyError, key);
            }
        }
        return NULL;
    }
    Py_INCREF(value);
    return value;
}
#endif

/* PyUnicode_Unicode */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_Unicode(PyObject *obj) {
    if (unlikely(obj == Py_None))
        obj = __pyx_kp_u_None;
    return __Pyx_NewRef(obj);
}

/* CIntToDigits */
static const char DIGIT_PAIRS_10[2*10*10+1] = {
    "00010203040506070809"
    "10111213141516171819"
    "20212223242526272829"
    "30313233343536373839"
    "40414243444546474849"
    "50515253545556575859"
    "60616263646566676869"
    "70717273747576777879"
    "80818283848586878889"
    "90919293949596979899"
};
static const char DIGIT_PAIRS_8[2*8*8+1] = {
    "0001020304050607"
    "1011121314151617"
    "2021222324252627"
    "3031323334353637"
    "4041424344454647"
    "5051525354555657"
    "6061626364656667"
    "7071727374757677"
};
static const char DIGITS_HEX[2*16+1] = {
    "0123456789abcdef"
    "0123456789ABCDEF"
};

/* BuildPyUnicode */
static PyObject* __Pyx_PyUnicode_BuildFromAscii(Py_ssize_t ulength, char* chars, int clength,
                                                int prepend_sign, char padding_char) {
    PyObject *uval;
    Py_ssize_t uoffset = ulength - clength;
#if CYTHON_USE_UNICODE_INTERNALS
    Py_ssize_t i;
#if CYTHON_PEP393_ENABLED
    void *udata;
    uval = PyUnicode_New(ulength, 127);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_DATA(uval);
#else
    Py_UNICODE *udata;
    uval = PyUnicode_FromUnicode(NULL, ulength);
    if (unlikely(!uval)) return NULL;
    udata = PyUnicode_AS_UNICODE(uval);
#endif
    if (uoffset > 0) {
        i = 0;
        if (prepend_sign) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, 0, '-');
            i++;
        }
        for (; i < uoffset; i++) {
            __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, i, padding_char);
        }
    }
    for (i=0; i < clength; i++) {
        __Pyx_PyUnicode_WRITE(PyUnicode_1BYTE_KIND, udata, uoffset+i, chars[i]);
    }
#else
    {
        PyObject *sign = NULL, *padding = NULL;
        uval = NULL;
        if (uoffset > 0) {
            prepend_sign = !!prepend_sign;
            if (uoffset > prepend_sign) {
                padding = PyUnicode_FromOrdinal(padding_char);
                if (likely(padding) && uoffset > prepend_sign + 1) {
                    PyObject *tmp;
                    PyObject *repeat = PyInt_FromSize_t(uoffset - prepend_sign);
                    if (unlikely(!repeat)) goto done_or_error;
                    tmp = PyNumber_Multiply(padding, repeat);
                    Py_DECREF(repeat);
                    Py_DECREF(padding);
                    padding = tmp;
                }
                if (unlikely(!padding)) goto done_or_error;
            }
            if (prepend_sign) {
                sign = PyUnicode_FromOrdinal('-');
                if (unlikely(!sign)) goto done_or_error;
            }
        }
        uval = PyUnicode_DecodeASCII(chars, clength, NULL);
        if (likely(uval) && padding) {
            PyObject *tmp = PyNumber_Add(padding, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
        if (likely(uval) && sign) {
            PyObject *tmp = PyNumber_Add(sign, uval);
            Py_DECREF(uval);
            uval = tmp;
        }
done_or_error:
        Py_XDECREF(padding);
        Py_XDECREF(sign);
    }
#endif
    return uval;
}

/* CIntToPyUnicode */
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_From_int(int value, Py_ssize_t width, char padding_char, char format_char) {
    char digits[sizeof(int)*3+2];
    char *dpos, *end = digits + sizeof(int)*3+2;
    const char *hex_digits = DIGITS_HEX;
    Py_ssize_t length, ulength;
    int prepend_sign, last_one_off;
    int remaining;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (format_char == 'X') {
        hex_digits += 16;
        format_char = 'x';
    }
    remaining = value;
    last_one_off = 0;
    dpos = end;
    do {
        int digit_pos;
        switch (format_char) {
        case 'o':
            digit_pos = abs((int)(remaining % (8*8)));
            remaining = (int) (remaining / (8*8));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_8 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 8);
            break;
        case 'd':
            digit_pos = abs((int)(remaining % (10*10)));
            remaining = (int) (remaining / (10*10));
            dpos -= 2;
            memcpy(dpos, DIGIT_PAIRS_10 + digit_pos * 2, 2);
            last_one_off = (digit_pos < 10);
            break;
        case 'x':
            *(--dpos) = hex_digits[abs((int)(remaining % 16))];
            remaining = (int) (remaining / 16);
            break;
        default:
            assert(0);
            break;
        }
    } while (unlikely(remaining != 0));
    if (last_one_off) {
        assert(*dpos == '0');
        dpos++;
    }
    length = end - dpos;
    ulength = length;
    prepend_sign = 0;
    if (!is_unsigned && value <= neg_one) {
        if (padding_char == ' ' || width <= length + 1) {
            *(--dpos) = '-';
            ++length;
        } else {
            prepend_sign = 1;
        }
        ++ulength;
    }
    if (width > ulength) {
        ulength = width;
    }
    if (ulength == 1) {
        return PyUnicode_FromOrdinal(*dpos);
    }
    return __Pyx_PyUnicode_BuildFromAscii(ulength, dpos, (int) length, prepend_sign, padding_char);
}

/* PyObjectFormatAndDecref */
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatSimpleAndDecref(PyObject* s, PyObject* f) {
    if (unlikely(!s)) return NULL;
    if (likely(PyUnicode_CheckExact(s))) return s;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyString_CheckExact(s))) {
        PyObject *result = PyUnicode_FromEncodedObject(s, NULL, "strict");
        Py_DECREF(s);
        return result;
    }
    #endif
    return __Pyx_PyObject_FormatAndDecref(s, f);
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_FormatAndDecref(PyObject* s, PyObject* f) {
    PyObject *result = PyObject_Format(s, f);
    Py_DECREF(s);
    return result;
}

/* SwapException */
#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if CYTHON_USE_EXC_INFO_STACK
    _PyErr_StackItem *exc_info = tstate->exc_info;
    tmp_type = exc_info->exc_type;
    tmp_value = exc_info->exc_value;
    tmp_tb = exc_info->exc_traceback;
    exc_info->exc_type = *type;
    exc_info->exc_value = *value;
    exc_info->exc_traceback = *tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
    #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* ArgTypeTest */
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    else if (exact) {
        #if PY_MAJOR_VERSION == 2
        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

/* GetAttr */
static CYTHON_INLINE PyObject *__Pyx_GetAttr(PyObject *o, PyObject *n) {
#if CYTHON_USE_TYPE_SLOTS
#if PY_MAJOR_VERSION >= 3
    if (likely(PyUnicode_Check(n)))
#else
    if (likely(PyString_Check(n)))
#endif
        return __Pyx_PyObject_GetAttrStr(o, n);
#endif
    return PyObject_GetAttr(o, n);
}

/* GetAttr3 */
static PyObject *__Pyx_GetAttr3Default(PyObject *d) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    Py_INCREF(d);
    return d;
}
static CYTHON_INLINE PyObject *__Pyx_GetAttr3(PyObject *o, PyObject *n, PyObject *d) {
    PyObject *r = __Pyx_GetAttr(o, n);
    return (likely(r)) ? r : __Pyx_GetAttr3Default(d);
}

/* None */
static CYTHON_INLINE void __Pyx_RaiseUnboundLocalError(const char *varname) {
    PyErr_Format(PyExc_UnboundLocalError, "local variable '%s' referenced before assignment", varname);
}

/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
    PyObject *r;
    if (!j) return NULL;
    r = PyObject_GetItem(o, j);
    Py_DECREF(j);
    return r;
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyList_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyList_GET_SIZE(o)))) {
        PyObject *r = PyList_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
                                                              CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
        wrapped_i += PyTuple_GET_SIZE(o);
    }
    if ((!boundscheck) || likely(__Pyx_is_valid_index(wrapped_i, PyTuple_GET_SIZE(o)))) {
        PyObject *r = PyTuple_GET_ITEM(o, wrapped_i);
        Py_INCREF(r);
        return r;
    }
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
}
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int is_list,
                                                     CYTHON_NCP_UNUSED int wraparound,
                                                     CYTHON_NCP_UNUSED int boundscheck) {
#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS && CYTHON_USE_TYPE_SLOTS
    if (is_list || PyList_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyList_GET_SIZE(o);
        if ((!boundscheck) || (likely(__Pyx_is_valid_index(n, PyList_GET_SIZE(o))))) {
            PyObject *r = PyList_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    }
    else if (PyTuple_CheckExact(o)) {
        Py_ssize_t n = ((!wraparound) | likely(i >= 0)) ? i : i + PyTuple_GET_SIZE(o);
        if ((!boundscheck) || likely(__Pyx_is_valid_index(n, PyTuple_GET_SIZE(o)))) {
            PyObject *r = PyTuple_GET_ITEM(o, n);
            Py_INCREF(r);
            return r;
        }
    } else {
        PySequenceMethods *m = Py_TYPE(o)->tp_as_sequence;
        if (likely(m && m->sq_item)) {
            if (wraparound && unlikely(i < 0) && likely(m->sq_length)) {
                Py_ssize_t l = m->sq_length(o);
                if (likely(l >= 0)) {
                    i += l;
                } else {
                    if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                        return NULL;
                    PyErr_Clear();
                }
            }
            return m->sq_item(o, i);
        }
    }
#else
    if (is_list || PySequence_Check(o)) {
        return PySequence_GetItem(o, i);
    }
#endif
    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
}

/* ObjectGetItem */
#if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
    PyObject *runerr;
    Py_ssize_t key_value;
    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
    if (unlikely(!(m && m->sq_item))) {
        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
        return NULL;
    }
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
    if (likely(m && m->mp_subscript)) {
        return m->mp_subscript(obj, key);
    }
    return __Pyx_PyObject_GetIndex(obj, key);
}
#endif

/* ExtTypeTest */
static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(__Pyx_TypeCheck(obj, type)))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %.200s to %.200s",
                 Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

/* PyFloatBinop */
#if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_TrueDivideObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a, result;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
            
        }
    } else {
        return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
    }
        
        PyFPE_START_PROTECT("divide", return NULL)
        result = a / b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

/* PyIntCompare */
  static CYTHON_INLINE PyObject* __Pyx_PyInt_NeObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED long inplace) {
    if (op1 == op2) {
        Py_RETURN_FALSE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a != b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        int unequal;
        unsigned long uintval;
        Py_ssize_t size = Py_SIZE(op1);
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        if (intval == 0) {
            if (size != 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
        } else if (intval < 0) {
            if (size >= 0)
                Py_RETURN_TRUE;
            intval = -intval;
            size = -size;
        } else {
            if (size <= 0)
                Py_RETURN_TRUE;
        }
        uintval = (unsigned long) intval;
#if PyLong_SHIFT * 4 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 4)) {
            unequal = (size != 5) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[4] != ((uintval >> (4 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 3 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 3)) {
            unequal = (size != 4) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[3] != ((uintval >> (3 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 2 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 2)) {
            unequal = (size != 3) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK)) | (digits[2] != ((uintval >> (2 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
#if PyLong_SHIFT * 1 < SIZEOF_LONG*8
        if (uintval >> (PyLong_SHIFT * 1)) {
            unequal = (size != 2) || (digits[0] != (uintval & (unsigned long) PyLong_MASK))
                 | (digits[1] != ((uintval >> (1 * PyLong_SHIFT)) & (unsigned long) PyLong_MASK));
        } else
#endif
            unequal = (size != 1) || (((unsigned long) digits[0]) != (uintval & (unsigned long) PyLong_MASK));
        if (unequal != 0) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
        if ((double)a != (double)b) Py_RETURN_TRUE; else Py_RETURN_FALSE;
    }
    return (
        PyObject_RichCompare(op1, op2, Py_NE));
}

/* PyFloatBinop */
  #if !CYTHON_COMPILING_IN_PYPY
#define __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(operand) if (unlikely(zerodivision_check && ((operand) == 0))) {\
    PyErr_SetString(PyExc_ZeroDivisionError, "float division by zero");\
    return NULL;\
}
static PyObject* __Pyx_PyFloat_TrueDivideCObj(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double a = floatval;
    double b, result;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op2))) {
        b = PyFloat_AS_DOUBLE(op2);
        __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(b)
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op2))) {
        b = (double) PyInt_AS_LONG(op2);
        __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(b)
    } else
    #endif
    if (likely(PyLong_CheckExact(op2))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op2)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op2);
        switch (size) {
            case  0: __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(0) break;
            case -1: b = -(double) digits[0]; break;
            case  1: b = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    b = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    b = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (b < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            b = -b;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            b = PyLong_AsDouble(op2);
            if (unlikely(b == -1.0 && PyErr_Occurred())) return NULL;
            __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(b)
        }
    } else {
        return (inplace ? PyNumber_InPlaceTrueDivide : PyNumber_TrueDivide)(op1, op2);
    }
        __Pyx_PyFloat_TrueDivideCObj_ZeroDivisionError(b)
        PyFPE_START_PROTECT("divide", return NULL)
        result = a / b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

/* PyFloatBinop */
    #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyFloat_SubtractObjC(PyObject *op1, PyObject *op2, double floatval, int inplace, int zerodivision_check) {
    const double b = floatval;
    double a, result;
    (void)inplace;
    (void)zerodivision_check;
    if (likely(PyFloat_CheckExact(op1))) {
        a = PyFloat_AS_DOUBLE(op1);
        
    } else
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        a = (double) PyInt_AS_LONG(op1);
        
    } else
    #endif
    if (likely(PyLong_CheckExact(op1))) {
        #if CYTHON_USE_PYLONG_INTERNALS
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        switch (size) {
            case  0: a = 0.0; break;
            case -1: a = -(double) digits[0]; break;
            case  1: a = (double) digits[0]; break;
            case -2:
            case 2:
                if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (1 * PyLong_SHIFT < 53))) {
                    a = (double) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -2)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -3:
            case 3:
                if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (2 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -3)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            case -4:
            case 4:
                if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT && ((8 * sizeof(unsigned long) < 53) || (3 * PyLong_SHIFT < 53))) {
                    a = (double) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                    if ((8 * sizeof(unsigned long) < 53) || (4 * PyLong_SHIFT < 53) || (a < (double) ((PY_LONG_LONG)1 << 53))) {
                        if (size == -4)
                            a = -a;
                        break;
                    }
                }
                CYTHON_FALLTHROUGH;
            default:
        #else
        {
        #endif
            a = PyLong_AsDouble(op1);
            if (unlikely(a == -1.0 && PyErr_Occurred())) return NULL;
            
        }
    } else {
        return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
    }
        
        PyFPE_START_PROTECT("subtract", return NULL)
        result = a - b;
        PyFPE_END_PROTECT(result)
        return PyFloat_FromDouble(result);
}
#endif

/* BytesEquals */
      static CYTHON_INLINE int __Pyx_PyBytes_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
    if (s1 == s2) {
        return (equals == Py_EQ);
    } else if (PyBytes_CheckExact(s1) & PyBytes_CheckExact(s2)) {
        const char *ps1, *ps2;
        Py_ssize_t length = PyBytes_GET_SIZE(s1);
        if (length != PyBytes_GET_SIZE(s2))
            return (equals == Py_NE);
        ps1 = PyBytes_AS_STRING(s1);
        ps2 = PyBytes_AS_STRING(s2);
        if (ps1[0] != ps2[0]) {
            return (equals == Py_NE);
        } else if (length == 1) {
            return (equals == Py_EQ);
        } else {
            int result;
#if CYTHON_USE_UNICODE_INTERNALS
            Py_hash_t hash1, hash2;
            hash1 = ((PyBytesObject*)s1)->ob_shash;
            hash2 = ((PyBytesObject*)s2)->ob_shash;
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                return (equals == Py_NE);
            }
#endif
            result = memcmp(ps1, ps2, (size_t)length);
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & PyBytes_CheckExact(s2)) {
        return (equals == Py_NE);
    } else if ((s2 == Py_None) & PyBytes_CheckExact(s1)) {
        return (equals == Py_NE);
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
#endif
}

/* UnicodeEquals */
      static CYTHON_INLINE int __Pyx_PyUnicode_Equals(PyObject* s1, PyObject* s2, int equals) {
#if CYTHON_COMPILING_IN_PYPY
    return PyObject_RichCompareBool(s1, s2, equals);
#else
#if PY_MAJOR_VERSION < 3
    PyObject* owned_ref = NULL;
#endif
    int s1_is_unicode, s2_is_unicode;
    if (s1 == s2) {
        goto return_eq;
    }
    s1_is_unicode = PyUnicode_CheckExact(s1);
    s2_is_unicode = PyUnicode_CheckExact(s2);
#if PY_MAJOR_VERSION < 3
    if ((s1_is_unicode & (!s2_is_unicode)) && PyString_CheckExact(s2)) {
        owned_ref = PyUnicode_FromObject(s2);
        if (unlikely(!owned_ref))
            return -1;
        s2 = owned_ref;
        s2_is_unicode = 1;
    } else if ((s2_is_unicode & (!s1_is_unicode)) && PyString_CheckExact(s1)) {
        owned_ref = PyUnicode_FromObject(s1);
        if (unlikely(!owned_ref))
            return -1;
        s1 = owned_ref;
        s1_is_unicode = 1;
    } else if (((!s2_is_unicode) & (!s1_is_unicode))) {
        return __Pyx_PyBytes_Equals(s1, s2, equals);
    }
#endif
    if (s1_is_unicode & s2_is_unicode) {
        Py_ssize_t length;
        int kind;
        void *data1, *data2;
        if (unlikely(__Pyx_PyUnicode_READY(s1) < 0) || unlikely(__Pyx_PyUnicode_READY(s2) < 0))
            return -1;
        length = __Pyx_PyUnicode_GET_LENGTH(s1);
        if (length != __Pyx_PyUnicode_GET_LENGTH(s2)) {
            goto return_ne;
        }
#if CYTHON_USE_UNICODE_INTERNALS
        {
            Py_hash_t hash1, hash2;
        #if CYTHON_PEP393_ENABLED
            hash1 = ((PyASCIIObject*)s1)->hash;
            hash2 = ((PyASCIIObject*)s2)->hash;
        #else
            hash1 = ((PyUnicodeObject*)s1)->hash;
            hash2 = ((PyUnicodeObject*)s2)->hash;
        #endif
            if (hash1 != hash2 && hash1 != -1 && hash2 != -1) {
                goto return_ne;
            }
        }
#endif
        kind = __Pyx_PyUnicode_KIND(s1);
        if (kind != __Pyx_PyUnicode_KIND(s2)) {
            goto return_ne;
        }
        data1 = __Pyx_PyUnicode_DATA(s1);
        data2 = __Pyx_PyUnicode_DATA(s2);
        if (__Pyx_PyUnicode_READ(kind, data1, 0) != __Pyx_PyUnicode_READ(kind, data2, 0)) {
            goto return_ne;
        } else if (length == 1) {
            goto return_eq;
        } else {
            int result = memcmp(data1, data2, (size_t)(length * kind));
            #if PY_MAJOR_VERSION < 3
            Py_XDECREF(owned_ref);
            #endif
            return (equals == Py_EQ) ? (result == 0) : (result != 0);
        }
    } else if ((s1 == Py_None) & s2_is_unicode) {
        goto return_ne;
    } else if ((s2 == Py_None) & s1_is_unicode) {
        goto return_ne;
    } else {
        int result;
        PyObject* py_result = PyObject_RichCompare(s1, s2, equals);
        #if PY_MAJOR_VERSION < 3
        Py_XDECREF(owned_ref);
        #endif
        if (!py_result)
            return -1;
        result = __Pyx_PyObject_IsTrue(py_result);
        Py_DECREF(py_result);
        return result;
    }
return_eq:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_EQ);
return_ne:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(owned_ref);
    #endif
    return (equals == Py_NE);
#endif
}

/* SliceObject */
      static CYTHON_INLINE int __Pyx_PyObject_SetSlice(PyObject* obj, PyObject* value,
        Py_ssize_t cstart, Py_ssize_t cstop,
        PyObject** _py_start, PyObject** _py_stop, PyObject** _py_slice,
        int has_cstart, int has_cstop, CYTHON_UNUSED int wraparound) {
#if CYTHON_USE_TYPE_SLOTS
    PyMappingMethods* mp;
#if PY_MAJOR_VERSION < 3
    PySequenceMethods* ms = Py_TYPE(obj)->tp_as_sequence;
    if (likely(ms && ms->sq_ass_slice)) {
        if (!has_cstart) {
            if (_py_start && (*_py_start != Py_None)) {
                cstart = __Pyx_PyIndex_AsSsize_t(*_py_start);
                if ((cstart == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstart = 0;
        }
        if (!has_cstop) {
            if (_py_stop && (*_py_stop != Py_None)) {
                cstop = __Pyx_PyIndex_AsSsize_t(*_py_stop);
                if ((cstop == (Py_ssize_t)-1) && PyErr_Occurred()) goto bad;
            } else
                cstop = PY_SSIZE_T_MAX;
        }
        if (wraparound && unlikely((cstart < 0) | (cstop < 0)) && likely(ms->sq_length)) {
            Py_ssize_t l = ms->sq_length(obj);
            if (likely(l >= 0)) {
                if (cstop < 0) {
                    cstop += l;
                    if (cstop < 0) cstop = 0;
                }
                if (cstart < 0) {
                    cstart += l;
                    if (cstart < 0) cstart = 0;
                }
            } else {
                if (!PyErr_ExceptionMatches(PyExc_OverflowError))
                    goto bad;
                PyErr_Clear();
            }
        }
        return ms->sq_ass_slice(obj, cstart, cstop, value);
    }
#endif
    mp = Py_TYPE(obj)->tp_as_mapping;
    if (likely(mp && mp->mp_ass_subscript))
#endif
    {
        int result;
        PyObject *py_slice, *py_start, *py_stop;
        if (_py_slice) {
            py_slice = *_py_slice;
        } else {
            PyObject* owned_start = NULL;
            PyObject* owned_stop = NULL;
            if (_py_start) {
                py_start = *_py_start;
            } else {
                if (has_cstart) {
                    owned_start = py_start = PyInt_FromSsize_t(cstart);
                    if (unlikely(!py_start)) goto bad;
                } else
                    py_start = Py_None;
            }
            if (_py_stop) {
                py_stop = *_py_stop;
            } else {
                if (has_cstop) {
                    owned_stop = py_stop = PyInt_FromSsize_t(cstop);
                    if (unlikely(!py_stop)) {
                        Py_XDECREF(owned_start);
                        goto bad;
                    }
                } else
                    py_stop = Py_None;
            }
            py_slice = PySlice_New(py_start, py_stop, Py_None);
            Py_XDECREF(owned_start);
            Py_XDECREF(owned_stop);
            if (unlikely(!py_slice)) goto bad;
        }
#if CYTHON_USE_TYPE_SLOTS
        result = mp->mp_ass_subscript(obj, py_slice, value);
#else
        result = value ? PyObject_SetItem(obj, py_slice, value) : PyObject_DelItem(obj, py_slice);
#endif
        if (!_py_slice) {
            Py_DECREF(py_slice);
        }
        return result;
    }
    PyErr_Format(PyExc_TypeError,
        "'%.200s' object does not support slice %.10s",
        Py_TYPE(obj)->tp_name, value ? "assignment" : "deletion");
bad:
    return -1;
}

/* None */
      static CYTHON_INLINE void __Pyx_RaiseClosureNameError(const char *varname) {
    PyErr_Format(PyExc_NameError, "free variable '%s' referenced before assignment in enclosing scope", varname);
}

/* FetchCommonType */
      static PyTypeObject* __Pyx_FetchCommonType(PyTypeObject* type) {
    PyObject* fake_module;
    PyTypeObject* cached_type = NULL;
    fake_module = PyImport_AddModule((char*) "_cython_" CYTHON_ABI);
    if (!fake_module) return NULL;
    Py_INCREF(fake_module);
    cached_type = (PyTypeObject*) PyObject_GetAttrString(fake_module, type->tp_name);
    if (cached_type) {
        if (!PyType_Check((PyObject*)cached_type)) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s is not a type object",
                type->tp_name);
            goto bad;
        }
        if (cached_type->tp_basicsize != type->tp_basicsize) {
            PyErr_Format(PyExc_TypeError,
                "Shared Cython type %.200s has the wrong size, try recompiling",
                type->tp_name);
            goto bad;
        }
    } else {
        if (!PyErr_ExceptionMatches(PyExc_AttributeError)) goto bad;
        PyErr_Clear();
        if (PyType_Ready(type) < 0) goto bad;
        if (PyObject_SetAttrString(fake_module, type->tp_name, (PyObject*) type) < 0)
            goto bad;
        Py_INCREF(type);
        cached_type = type;
    }
done:
    Py_DECREF(fake_module);
    return cached_type;
bad:
    Py_XDECREF(cached_type);
    cached_type = NULL;
    goto done;
}

/* CythonFunctionShared */
      #include <structmember.h>
static PyObject *
__Pyx_CyFunction_get_doc(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *closure)
{
    if (unlikely(op->func_doc == NULL)) {
        if (op->func.m_ml->ml_doc) {
#if PY_MAJOR_VERSION >= 3
            op->func_doc = PyUnicode_FromString(op->func.m_ml->ml_doc);
#else
            op->func_doc = PyString_FromString(op->func.m_ml->ml_doc);
#endif
            if (unlikely(op->func_doc == NULL))
                return NULL;
        } else {
            Py_INCREF(Py_None);
            return Py_None;
        }
    }
    Py_INCREF(op->func_doc);
    return op->func_doc;
}
static int
__Pyx_CyFunction_set_doc(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp = op->func_doc;
    if (value == NULL) {
        value = Py_None;
    }
    Py_INCREF(value);
    op->func_doc = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_name(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    if (unlikely(op->func_name == NULL)) {
#if PY_MAJOR_VERSION >= 3
        op->func_name = PyUnicode_InternFromString(op->func.m_ml->ml_name);
#else
        op->func_name = PyString_InternFromString(op->func.m_ml->ml_name);
#endif
        if (unlikely(op->func_name == NULL))
            return NULL;
    }
    Py_INCREF(op->func_name);
    return op->func_name;
}
static int
__Pyx_CyFunction_set_name(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__name__ must be set to a string object");
        return -1;
    }
    tmp = op->func_name;
    Py_INCREF(value);
    op->func_name = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_qualname(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_qualname);
    return op->func_qualname;
}
static int
__Pyx_CyFunction_set_qualname(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
#if PY_MAJOR_VERSION >= 3
    if (unlikely(value == NULL || !PyUnicode_Check(value)))
#else
    if (unlikely(value == NULL || !PyString_Check(value)))
#endif
    {
        PyErr_SetString(PyExc_TypeError,
                        "__qualname__ must be set to a string object");
        return -1;
    }
    tmp = op->func_qualname;
    Py_INCREF(value);
    op->func_qualname = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_self(__pyx_CyFunctionObject *m, CYTHON_UNUSED void *closure)
{
    PyObject *self;
    self = m->func_closure;
    if (self == NULL)
        self = Py_None;
    Py_INCREF(self);
    return self;
}
static PyObject *
__Pyx_CyFunction_get_dict(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    if (unlikely(op->func_dict == NULL)) {
        op->func_dict = PyDict_New();
        if (unlikely(op->func_dict == NULL))
            return NULL;
    }
    Py_INCREF(op->func_dict);
    return op->func_dict;
}
static int
__Pyx_CyFunction_set_dict(__pyx_CyFunctionObject *op, PyObject *value, CYTHON_UNUSED void *context)
{
    PyObject *tmp;
    if (unlikely(value == NULL)) {
        PyErr_SetString(PyExc_TypeError,
               "function's dictionary may not be deleted");
        return -1;
    }
    if (unlikely(!PyDict_Check(value))) {
        PyErr_SetString(PyExc_TypeError,
               "setting function's dictionary to a non-dict");
        return -1;
    }
    tmp = op->func_dict;
    Py_INCREF(value);
    op->func_dict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_globals(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(op->func_globals);
    return op->func_globals;
}
static PyObject *
__Pyx_CyFunction_get_closure(CYTHON_UNUSED __pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    Py_INCREF(Py_None);
    return Py_None;
}
static PyObject *
__Pyx_CyFunction_get_code(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context)
{
    PyObject* result = (op->func_code) ? op->func_code : Py_None;
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_init_defaults(__pyx_CyFunctionObject *op) {
    int result = 0;
    PyObject *res = op->defaults_getter((PyObject *) op);
    if (unlikely(!res))
        return -1;
    #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    op->defaults_tuple = PyTuple_GET_ITEM(res, 0);
    Py_INCREF(op->defaults_tuple);
    op->defaults_kwdict = PyTuple_GET_ITEM(res, 1);
    Py_INCREF(op->defaults_kwdict);
    #else
    op->defaults_tuple = PySequence_ITEM(res, 0);
    if (unlikely(!op->defaults_tuple)) result = -1;
    else {
        op->defaults_kwdict = PySequence_ITEM(res, 1);
        if (unlikely(!op->defaults_kwdict)) result = -1;
    }
    #endif
    Py_DECREF(res);
    return result;
}
static int
__Pyx_CyFunction_set_defaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyTuple_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__defaults__ must be set to a tuple object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_tuple;
    op->defaults_tuple = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_defaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_tuple;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_tuple;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_kwdefaults(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value) {
        value = Py_None;
    } else if (value != Py_None && !PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__kwdefaults__ must be set to a dict object");
        return -1;
    }
    Py_INCREF(value);
    tmp = op->defaults_kwdict;
    op->defaults_kwdict = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_kwdefaults(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->defaults_kwdict;
    if (unlikely(!result)) {
        if (op->defaults_getter) {
            if (__Pyx_CyFunction_init_defaults(op) < 0) return NULL;
            result = op->defaults_kwdict;
        } else {
            result = Py_None;
        }
    }
    Py_INCREF(result);
    return result;
}
static int
__Pyx_CyFunction_set_annotations(__pyx_CyFunctionObject *op, PyObject* value, CYTHON_UNUSED void *context) {
    PyObject* tmp;
    if (!value || value == Py_None) {
        value = NULL;
    } else if (!PyDict_Check(value)) {
        PyErr_SetString(PyExc_TypeError,
                        "__annotations__ must be set to a dict object");
        return -1;
    }
    Py_XINCREF(value);
    tmp = op->func_annotations;
    op->func_annotations = value;
    Py_XDECREF(tmp);
    return 0;
}
static PyObject *
__Pyx_CyFunction_get_annotations(__pyx_CyFunctionObject *op, CYTHON_UNUSED void *context) {
    PyObject* result = op->func_annotations;
    if (unlikely(!result)) {
        result = PyDict_New();
        if (unlikely(!result)) return NULL;
        op->func_annotations = result;
    }
    Py_INCREF(result);
    return result;
}
static PyGetSetDef __pyx_CyFunction_getsets[] = {
    {(char *) "func_doc", (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "__doc__",  (getter)__Pyx_CyFunction_get_doc, (setter)__Pyx_CyFunction_set_doc, 0, 0},
    {(char *) "func_name", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__name__", (getter)__Pyx_CyFunction_get_name, (setter)__Pyx_CyFunction_set_name, 0, 0},
    {(char *) "__qualname__", (getter)__Pyx_CyFunction_get_qualname, (setter)__Pyx_CyFunction_set_qualname, 0, 0},
    {(char *) "__self__", (getter)__Pyx_CyFunction_get_self, 0, 0, 0},
    {(char *) "func_dict", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "__dict__", (getter)__Pyx_CyFunction_get_dict, (setter)__Pyx_CyFunction_set_dict, 0, 0},
    {(char *) "func_globals", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "__globals__", (getter)__Pyx_CyFunction_get_globals, 0, 0, 0},
    {(char *) "func_closure", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "__closure__", (getter)__Pyx_CyFunction_get_closure, 0, 0, 0},
    {(char *) "func_code", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "__code__", (getter)__Pyx_CyFunction_get_code, 0, 0, 0},
    {(char *) "func_defaults", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__defaults__", (getter)__Pyx_CyFunction_get_defaults, (setter)__Pyx_CyFunction_set_defaults, 0, 0},
    {(char *) "__kwdefaults__", (getter)__Pyx_CyFunction_get_kwdefaults, (setter)__Pyx_CyFunction_set_kwdefaults, 0, 0},
    {(char *) "__annotations__", (getter)__Pyx_CyFunction_get_annotations, (setter)__Pyx_CyFunction_set_annotations, 0, 0},
    {0, 0, 0, 0, 0}
};
static PyMemberDef __pyx_CyFunction_members[] = {
    {(char *) "__module__", T_OBJECT, offsetof(PyCFunctionObject, m_module), PY_WRITE_RESTRICTED, 0},
    {0, 0, 0,  0, 0}
};
static PyObject *
__Pyx_CyFunction_reduce(__pyx_CyFunctionObject *m, CYTHON_UNUSED PyObject *args)
{
#if PY_MAJOR_VERSION >= 3
    Py_INCREF(m->func_qualname);
    return m->func_qualname;
#else
    return PyString_FromString(m->func.m_ml->ml_name);
#endif
}
static PyMethodDef __pyx_CyFunction_methods[] = {
    {"__reduce__", (PyCFunction)__Pyx_CyFunction_reduce, METH_VARARGS, 0},
    {0, 0, 0, 0}
};
#if PY_VERSION_HEX < 0x030500A0
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func_weakreflist)
#else
#define __Pyx_CyFunction_weakreflist(cyfunc) ((cyfunc)->func.m_weakreflist)
#endif
static PyObject *__Pyx_CyFunction_Init(__pyx_CyFunctionObject *op, PyMethodDef *ml, int flags, PyObject* qualname,
                                       PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    if (unlikely(op == NULL))
        return NULL;
    op->flags = flags;
    __Pyx_CyFunction_weakreflist(op) = NULL;
    op->func.m_ml = ml;
    op->func.m_self = (PyObject *) op;
    Py_XINCREF(closure);
    op->func_closure = closure;
    Py_XINCREF(module);
    op->func.m_module = module;
    op->func_dict = NULL;
    op->func_name = NULL;
    Py_INCREF(qualname);
    op->func_qualname = qualname;
    op->func_doc = NULL;
    op->func_classobj = NULL;
    op->func_globals = globals;
    Py_INCREF(op->func_globals);
    Py_XINCREF(code);
    op->func_code = code;
    op->defaults_pyobjects = 0;
    op->defaults_size = 0;
    op->defaults = NULL;
    op->defaults_tuple = NULL;
    op->defaults_kwdict = NULL;
    op->defaults_getter = NULL;
    op->func_annotations = NULL;
    return (PyObject *) op;
}
static int
__Pyx_CyFunction_clear(__pyx_CyFunctionObject *m)
{
    Py_CLEAR(m->func_closure);
    Py_CLEAR(m->func.m_module);
    Py_CLEAR(m->func_dict);
    Py_CLEAR(m->func_name);
    Py_CLEAR(m->func_qualname);
    Py_CLEAR(m->func_doc);
    Py_CLEAR(m->func_globals);
    Py_CLEAR(m->func_code);
    Py_CLEAR(m->func_classobj);
    Py_CLEAR(m->defaults_tuple);
    Py_CLEAR(m->defaults_kwdict);
    Py_CLEAR(m->func_annotations);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_XDECREF(pydefaults[i]);
        PyObject_Free(m->defaults);
        m->defaults = NULL;
    }
    return 0;
}
static void __Pyx__CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    if (__Pyx_CyFunction_weakreflist(m) != NULL)
        PyObject_ClearWeakRefs((PyObject *) m);
    __Pyx_CyFunction_clear(m);
    PyObject_GC_Del(m);
}
static void __Pyx_CyFunction_dealloc(__pyx_CyFunctionObject *m)
{
    PyObject_GC_UnTrack(m);
    __Pyx__CyFunction_dealloc(m);
}
static int __Pyx_CyFunction_traverse(__pyx_CyFunctionObject *m, visitproc visit, void *arg)
{
    Py_VISIT(m->func_closure);
    Py_VISIT(m->func.m_module);
    Py_VISIT(m->func_dict);
    Py_VISIT(m->func_name);
    Py_VISIT(m->func_qualname);
    Py_VISIT(m->func_doc);
    Py_VISIT(m->func_globals);
    Py_VISIT(m->func_code);
    Py_VISIT(m->func_classobj);
    Py_VISIT(m->defaults_tuple);
    Py_VISIT(m->defaults_kwdict);
    if (m->defaults) {
        PyObject **pydefaults = __Pyx_CyFunction_Defaults(PyObject *, m);
        int i;
        for (i = 0; i < m->defaults_pyobjects; i++)
            Py_VISIT(pydefaults[i]);
    }
    return 0;
}
static PyObject *__Pyx_CyFunction_descr_get(PyObject *func, PyObject *obj, PyObject *type)
{
#if PY_MAJOR_VERSION < 3
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    if (m->flags & __Pyx_CYFUNCTION_STATICMETHOD) {
        Py_INCREF(func);
        return func;
    }
    if (m->flags & __Pyx_CYFUNCTION_CLASSMETHOD) {
        if (type == NULL)
            type = (PyObject *)(Py_TYPE(obj));
        return __Pyx_PyMethod_New(func, type, (PyObject *)(Py_TYPE(type)));
    }
    if (obj == Py_None)
        obj = NULL;
#endif
    return __Pyx_PyMethod_New(func, obj, type);
}
static PyObject*
__Pyx_CyFunction_repr(__pyx_CyFunctionObject *op)
{
#if PY_MAJOR_VERSION >= 3
    return PyUnicode_FromFormat("<cyfunction %U at %p>",
                                op->func_qualname, (void *)op);
#else
    return PyString_FromFormat("<cyfunction %s at %p>",
                               PyString_AsString(op->func_qualname), (void *)op);
#endif
}
static PyObject * __Pyx_CyFunction_CallMethod(PyObject *func, PyObject *self, PyObject *arg, PyObject *kw) {
    PyCFunctionObject* f = (PyCFunctionObject*)func;
    PyCFunction meth = f->m_ml->ml_meth;
    Py_ssize_t size;
    switch (f->m_ml->ml_flags & (METH_VARARGS | METH_KEYWORDS | METH_NOARGS | METH_O)) {
    case METH_VARARGS:
        if (likely(kw == NULL || PyDict_Size(kw) == 0))
            return (*meth)(self, arg);
        break;
    case METH_VARARGS | METH_KEYWORDS:
        return (*(PyCFunctionWithKeywords)(void*)meth)(self, arg, kw);
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        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 0))
                return (*meth)(self, NULL);
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes no arguments (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    case METH_O:
        if (likely(kw == NULL || PyDict_Size(kw) == 0)) {
            size = PyTuple_GET_SIZE(arg);
            if (likely(size == 1)) {
                PyObject *result, *arg0;
                #if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
                arg0 = PyTuple_GET_ITEM(arg, 0);
                #else
                arg0 = PySequence_ITEM(arg, 0); if (unlikely(!arg0)) return NULL;
                #endif
                result = (*meth)(self, arg0);
                #if !(CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS)
                Py_DECREF(arg0);
                #endif
                return result;
            }
            PyErr_Format(PyExc_TypeError,
                "%.200s() takes exactly one argument (%" CYTHON_FORMAT_SSIZE_T "d given)",
                f->m_ml->ml_name, size);
            return NULL;
        }
        break;
    default:
        PyErr_SetString(PyExc_SystemError, "Bad call flags in "
                        "__Pyx_CyFunction_Call. METH_OLDARGS is no "
                        "longer supported!");
        return NULL;
    }
    PyErr_Format(PyExc_TypeError, "%.200s() takes no keyword arguments",
                 f->m_ml->ml_name);
    return NULL;
}
static CYTHON_INLINE PyObject *__Pyx_CyFunction_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    return __Pyx_CyFunction_CallMethod(func, ((PyCFunctionObject*)func)->m_self, arg, kw);
}
static PyObject *__Pyx_CyFunction_CallAsMethod(PyObject *func, PyObject *args, PyObject *kw) {
    PyObject *result;
    __pyx_CyFunctionObject *cyfunc = (__pyx_CyFunctionObject *) func;
    if ((cyfunc->flags & __Pyx_CYFUNCTION_CCLASS) && !(cyfunc->flags & __Pyx_CYFUNCTION_STATICMETHOD)) {
        Py_ssize_t argc;
        PyObject *new_args;
        PyObject *self;
        argc = PyTuple_GET_SIZE(args);
        new_args = PyTuple_GetSlice(args, 1, argc);
        if (unlikely(!new_args))
            return NULL;
        self = PyTuple_GetItem(args, 0);
        if (unlikely(!self)) {
            Py_DECREF(new_args);
            return NULL;
        }
        result = __Pyx_CyFunction_CallMethod(func, self, new_args, kw);
        Py_DECREF(new_args);
    } else {
        result = __Pyx_CyFunction_Call(func, args, kw);
    }
    return result;
}
static PyTypeObject __pyx_CyFunctionType_type = {
    PyVarObject_HEAD_INIT(0, 0)
    "cython_function_or_method",
    sizeof(__pyx_CyFunctionObject),
    0,
    (destructor) __Pyx_CyFunction_dealloc,
    0,
    0,
    0,
#if PY_MAJOR_VERSION < 3
    0,
#else
    0,
#endif
    (reprfunc) __Pyx_CyFunction_repr,
    0,
    0,
    0,
    0,
    __Pyx_CyFunction_CallAsMethod,
    0,
    0,
    0,
    0,
    Py_TPFLAGS_DEFAULT | Py_TPFLAGS_HAVE_GC,
    0,
    (traverseproc) __Pyx_CyFunction_traverse,
    (inquiry) __Pyx_CyFunction_clear,
    0,
#if PY_VERSION_HEX < 0x030500A0
    offsetof(__pyx_CyFunctionObject, func_weakreflist),
#else
    offsetof(PyCFunctionObject, m_weakreflist),
#endif
    0,
    0,
    __pyx_CyFunction_methods,
    __pyx_CyFunction_members,
    __pyx_CyFunction_getsets,
    0,
    0,
    __Pyx_CyFunction_descr_get,
    0,
    offsetof(__pyx_CyFunctionObject, func_dict),
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
    0,
#if PY_VERSION_HEX >= 0x030400a1
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b1 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07030800)
    0,
#endif
#if PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000
    0,
#endif
#if CYTHON_COMPILING_IN_PYPY && PY_VERSION_HEX >= 0x03090000
    0,
#endif
};
static int __pyx_CyFunction_init(void) {
    __pyx_CyFunctionType = __Pyx_FetchCommonType(&__pyx_CyFunctionType_type);
    if (unlikely(__pyx_CyFunctionType == NULL)) {
        return -1;
    }
    return 0;
}
static CYTHON_INLINE void *__Pyx_CyFunction_InitDefaults(PyObject *func, size_t size, int pyobjects) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults = PyObject_Malloc(size);
    if (unlikely(!m->defaults))
        return PyErr_NoMemory();
    memset(m->defaults, 0, size);
    m->defaults_pyobjects = pyobjects;
    m->defaults_size = size;
    return m->defaults;
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsTuple(PyObject *func, PyObject *tuple) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_tuple = tuple;
    Py_INCREF(tuple);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetDefaultsKwDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->defaults_kwdict = dict;
    Py_INCREF(dict);
}
static CYTHON_INLINE void __Pyx_CyFunction_SetAnnotationsDict(PyObject *func, PyObject *dict) {
    __pyx_CyFunctionObject *m = (__pyx_CyFunctionObject *) func;
    m->func_annotations = dict;
    Py_INCREF(dict);
}

/* CythonFunction */
      static PyObject *__Pyx_CyFunction_New(PyMethodDef *ml, int flags, PyObject* qualname,
                                      PyObject *closure, PyObject *module, PyObject* globals, PyObject* code) {
    PyObject *op = __Pyx_CyFunction_Init(
        PyObject_GC_New(__pyx_CyFunctionObject, __pyx_CyFunctionType),
        ml, flags, qualname, closure, module, globals, code
    );
    if (likely(op)) {
        PyObject_GC_Track(op);
    }
    return op;
}

/* IsLittleEndian */
      static CYTHON_INLINE int __Pyx_Is_Little_Endian(void)
{
  union {
    uint32_t u32;
    uint8_t u8[4];
  } S;
  S.u32 = 0x01020304;
  return S.u8[0] == 4;
}

/* BufferFormatCheck */
      static void __Pyx_BufFmt_Init(__Pyx_BufFmt_Context* ctx,
                              __Pyx_BufFmt_StackElem* stack,
                              __Pyx_TypeInfo* type) {
  stack[0].field = &ctx->root;
  stack[0].parent_offset = 0;
  ctx->root.type = type;
  ctx->root.name = "buffer dtype";
  ctx->root.offset = 0;
  ctx->head = stack;
  ctx->head->field = &ctx->root;
  ctx->fmt_offset = 0;
  ctx->head->parent_offset = 0;
  ctx->new_packmode = '@';
  ctx->enc_packmode = '@';
  ctx->new_count = 1;
  ctx->enc_count = 0;
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  ctx->is_valid_array = 0;
  ctx->struct_alignment = 0;
  while (type->typegroup == 'S') {
    ++ctx->head;
    ctx->head->field = type->fields;
    ctx->head->parent_offset = 0;
    type = type->fields->type;
  }
}
static int __Pyx_BufFmt_ParseNumber(const char** ts) {
    int count;
    const char* t = *ts;
    if (*t < '0' || *t > '9') {
      return -1;
    } else {
        count = *t++ - '0';
        while (*t >= '0' && *t <= '9') {
            count *= 10;
            count += *t++ - '0';
        }
    }
    *ts = t;
    return count;
}
static int __Pyx_BufFmt_ExpectNumber(const char **ts) {
    int number = __Pyx_BufFmt_ParseNumber(ts);
    if (number == -1)
        PyErr_Format(PyExc_ValueError,\
                     "Does not understand character buffer dtype format string ('%c')", **ts);
    return number;
}
static void __Pyx_BufFmt_RaiseUnexpectedChar(char ch) {
  PyErr_Format(PyExc_ValueError,
               "Unexpected format string character: '%c'", ch);
}
static const char* __Pyx_BufFmt_DescribeTypeChar(char ch, int is_complex) {
  switch (ch) {
    case '?': return "'bool'";
    case 'c': return "'char'";
    case 'b': return "'signed char'";
    case 'B': return "'unsigned char'";
    case 'h': return "'short'";
    case 'H': return "'unsigned short'";
    case 'i': return "'int'";
    case 'I': return "'unsigned int'";
    case 'l': return "'long'";
    case 'L': return "'unsigned long'";
    case 'q': return "'long long'";
    case 'Q': return "'unsigned long long'";
    case 'f': return (is_complex ? "'complex float'" : "'float'");
    case 'd': return (is_complex ? "'complex double'" : "'double'");
    case 'g': return (is_complex ? "'complex long double'" : "'long double'");
    case 'T': return "a struct";
    case 'O': return "Python object";
    case 'P': return "a pointer";
    case 's': case 'p': return "a string";
    case 0: return "end";
    default: return "unparseable format string";
  }
}
static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return 2;
    case 'i': case 'I': case 'l': case 'L': return 4;
    case 'q': case 'Q': return 8;
    case 'f': return (is_complex ? 8 : 4);
    case 'd': return (is_complex ? 16 : 8);
    case 'g': {
      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
      return 0;
    }
    case 'O': case 'P': return sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(short);
    case 'i': case 'I': return sizeof(int);
    case 'l': case 'L': return sizeof(long);
    #ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
    #endif
    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
    case 'O': case 'P': return sizeof(void*);
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
typedef struct { char c; short x; } __Pyx_st_short;
typedef struct { char c; int x; } __Pyx_st_int;
typedef struct { char c; long x; } __Pyx_st_long;
typedef struct { char c; float x; } __Pyx_st_float;
typedef struct { char c; double x; } __Pyx_st_double;
typedef struct { char c; long double x; } __Pyx_st_longdouble;
typedef struct { char c; void *x; } __Pyx_st_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
/* These are for computing the padding at the end of the struct to align
   on the first member of the struct. This will probably the same as above,
   but we don't have any guarantees.
 */
typedef struct { short x; char c; } __Pyx_pad_short;
typedef struct { int x; char c; } __Pyx_pad_int;
typedef struct { long x; char c; } __Pyx_pad_long;
typedef struct { float x; char c; } __Pyx_pad_float;
typedef struct { double x; char c; } __Pyx_pad_double;
typedef struct { long double x; char c; } __Pyx_pad_longdouble;
typedef struct { void *x; char c; } __Pyx_pad_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
  switch (ch) {
    case 'c':
        return 'H';
    case 'b': case 'h': case 'i':
    case 'l': case 'q': case 's': case 'p':
        return 'I';
    case '?': case 'B': case 'H': case 'I': case 'L': case 'Q':
        return 'U';
    case 'f': case 'd': case 'g':
        return (is_complex ? 'C' : 'R');
    case 'O':
        return 'O';
    case 'P':
        return 'P';
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
    const char* expected;
    const char* quote;
    if (ctx->head == NULL) {
      expected = "end";
      quote = "";
    } else {
      expected = ctx->head->field->type->name;
      quote = "'";
    }
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected %s%s%s but got %s",
                 quote, expected, quote,
                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
  } else {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_StructField* parent = (ctx->head - 1)->field;
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                 parent->type->name, field->name);
  }
}
static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
  char group;
  size_t size, offset, arraysize = 1;
  if (ctx->enc_type == 0) return 0;
  if (ctx->head->field->type->arraysize[0]) {
    int i, ndim = 0;
    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
        ndim = 1;
        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
            PyErr_Format(PyExc_ValueError,
                         "Expected a dimension of size %zu, got %zu",
                         ctx->head->field->type->arraysize[0], ctx->enc_count);
            return -1;
        }
    }
    if (!ctx->is_valid_array) {
      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                   ctx->head->field->type->ndim, ndim);
      return -1;
    }
    for (i = 0; i < ctx->head->field->type->ndim; i++) {
      arraysize *= ctx->head->field->type->arraysize[i];
    }
    ctx->is_valid_array = 0;
    ctx->enc_count = 1;
  }
  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
  do {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_TypeInfo* type = field->type;
    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
    } else {
      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
    }
    if (ctx->enc_packmode == '@') {
      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
      size_t align_mod_offset;
      if (align_at == 0) return -1;
      align_mod_offset = ctx->fmt_offset % align_at;
      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
      if (ctx->struct_alignment == 0)
          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                 ctx->is_complex);
    }
    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }
      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
      } else {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
      }
    }
    offset = ctx->head->parent_offset + field->offset;
    if (ctx->fmt_offset != offset) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
      return -1;
    }
    ctx->fmt_offset += size;
    if (arraysize)
      ctx->fmt_offset += (arraysize - 1) * size;
    --ctx->enc_count;
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break;
      }
      ctx->head->field = ++field;
      if (field->type == NULL) {
        --ctx->head;
        field = ctx->head->field;
        continue;
      } else if (field->type->typegroup == 'S') {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        if (field->type->fields->type == NULL) continue;
        field = field->type->fields;
        ++ctx->head;
        ctx->head->field = field;
        ctx->head->parent_offset = parent_offset;
        break;
      } else {
        break;
      }
    }
  } while (ctx->enc_count);
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  return 0;
}
static PyObject *
__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
{
    const char *ts = *tsp;
    int i = 0, number, ndim;
    ++ts;
    if (ctx->new_count != 1) {
        PyErr_SetString(PyExc_ValueError,
                        "Cannot handle repeated arrays in format string");
        return NULL;
    }
    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
    ndim = ctx->head->field->type->ndim;
    while (*ts && *ts != ')') {
        switch (*ts) {
            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
            default:  break;
        }
        number = __Pyx_BufFmt_ExpectNumber(&ts);
        if (number == -1) return NULL;
        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
            return PyErr_Format(PyExc_ValueError,
                        "Expected a dimension of size %zu, got %d",
                        ctx->head->field->type->arraysize[i], number);
        if (*ts != ',' && *ts != ')')
            return PyErr_Format(PyExc_ValueError,
                                "Expected a comma in format string, got '%c'", *ts);
        if (*ts == ',') ts++;
        i++;
    }
    if (i != ndim)
        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
                            ctx->head->field->type->ndim, i);
    if (!*ts) {
        PyErr_SetString(PyExc_ValueError,
                        "Unexpected end of format string, expected ')'");
        return NULL;
    }
    ctx->is_valid_array = 1;
    ctx->new_count = 1;
    *tsp = ++ts;
    return Py_None;
}
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
  int got_Z = 0;
  while (1) {
    switch(*ts) {
      case 0:
        if (ctx->enc_type != 0 && ctx->head == NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        if (ctx->head != NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        return ts;
      case ' ':
      case '\r':
      case '\n':
        ++ts;
        break;
      case '<':
        if (!__Pyx_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_Is_Little_Endian()) {
          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '=':
      case '@':
      case '^':
        ctx->new_packmode = *ts++;
        break;
      case 'T':
        {
          const char* ts_after_sub;
          size_t i, struct_count = ctx->new_count;
          size_t struct_alignment = ctx->struct_alignment;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          ctx->enc_count = 0;
          ctx->struct_alignment = 0;
          ++ts;
          ts_after_sub = ts;
          for (i = 0; i != struct_count; ++i) {
            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
            if (!ts_after_sub) return NULL;
          }
          ts = ts_after_sub;
          if (struct_alignment) ctx->struct_alignment = struct_alignment;
        }
        break;
      case '}':
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          if (alignment && ctx->fmt_offset % alignment) {
            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
          }
        }
        return ts;
      case 'x':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->fmt_offset += ctx->new_count;
        ctx->new_count = 1;
        ctx->enc_count = 0;
        ctx->enc_type = 0;
        ctx->enc_packmode = ctx->new_packmode;
        ++ts;
        break;
      case 'Z':
        got_Z = 1;
        ++ts;
        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
          return NULL;
        }
        CYTHON_FALLTHROUGH;
      case '?': case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
      case 'l': case 'L': case 'q': case 'Q':
      case 'f': case 'd': case 'g':
      case 'O': case 'p':
        if ((ctx->enc_type == *ts) && (got_Z == ctx->is_complex) &&
            (ctx->enc_packmode == ctx->new_packmode) && (!ctx->is_valid_array)) {
          ctx->enc_count += ctx->new_count;
          ctx->new_count = 1;
          got_Z = 0;
          ++ts;
          break;
        }
        CYTHON_FALLTHROUGH;
      case 's':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->enc_count = ctx->new_count;
        ctx->enc_packmode = ctx->new_packmode;
        ctx->enc_type = *ts;
        ctx->is_complex = got_Z;
        ++ts;
        ctx->new_count = 1;
        got_Z = 0;
        break;
      case ':':
        ++ts;
        while(*ts != ':') ++ts;
        ++ts;
        break;
      case '(':
        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
        break;
      default:
        {
          int number = __Pyx_BufFmt_ExpectNumber(&ts);
          if (number == -1) return NULL;
          ctx->new_count = (size_t)number;
        }
    }
  }
}

/* BufferGetAndValidate */
        static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (unlikely(info->buf == NULL)) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}
static void __Pyx_ZeroBuffer(Py_buffer* buf) {
  buf->buf = NULL;
  buf->obj = NULL;
  buf->strides = __Pyx_zeros;
  buf->shape = __Pyx_zeros;
  buf->suboffsets = __Pyx_minusones;
}
static int __Pyx__GetBufferAndValidate(
        Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
        int nd, int cast, __Pyx_BufFmt_StackElem* stack)
{
  buf->buf = NULL;
  if (unlikely(__Pyx_GetBuffer(obj, buf, flags) == -1)) {
    __Pyx_ZeroBuffer(buf);
    return -1;
  }
  if (unlikely(buf->ndim != nd)) {
    PyErr_Format(PyExc_ValueError,
                 "Buffer has wrong number of dimensions (expected %d, got %d)",
                 nd, buf->ndim);
    goto fail;
  }
  if (!cast) {
    __Pyx_BufFmt_Context ctx;
    __Pyx_BufFmt_Init(&ctx, stack, dtype);
    if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
  }
  if (unlikely((size_t)buf->itemsize != dtype->size)) {
    PyErr_Format(PyExc_ValueError,
      "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",
      buf->itemsize, (buf->itemsize > 1) ? "s" : "",
      dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
    goto fail;
  }
  if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
  return 0;
fail:;
  __Pyx_SafeReleaseBuffer(buf);
  return -1;
}

/* BufferFallbackError */
        static void __Pyx_RaiseBufferFallbackError(void) {
  PyErr_SetString(PyExc_ValueError,
     "Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!");
}

/* PyObjectSetAttrStr */
        #if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE int __Pyx_PyObject_SetAttrStr(PyObject* obj, PyObject* attr_name, PyObject* value) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_setattro))
        return tp->tp_setattro(obj, attr_name, value);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_setattr))
        return tp->tp_setattr(obj, PyString_AS_STRING(attr_name), value);
#endif
    return PyObject_SetAttr(obj, attr_name, value);
}
#endif

/* PyObjectCallMethod1 */
        static PyObject* __Pyx__PyObject_CallMethod1(PyObject* method, PyObject* arg) {
    PyObject *result = __Pyx_PyObject_CallOneArg(method, arg);
    Py_DECREF(method);
    return result;
}
static PyObject* __Pyx_PyObject_CallMethod1(PyObject* obj, PyObject* method_name, PyObject* arg) {
    PyObject *method = NULL, *result;
    int is_method = __Pyx_PyObject_GetMethod(obj, method_name, &method);
    if (likely(is_method)) {
        result = __Pyx_PyObject_Call2Args(method, obj, arg);
        Py_DECREF(method);
        return result;
    }
    if (unlikely(!method)) return NULL;
    return __Pyx__PyObject_CallMethod1(method, arg);
}

/* append */
        static CYTHON_INLINE int __Pyx_PyObject_Append(PyObject* L, PyObject* x) {
    if (likely(PyList_CheckExact(L))) {
        if (unlikely(__Pyx_PyList_Append(L, x) < 0)) return -1;
    } else {
        PyObject* retval = __Pyx_PyObject_CallMethod1(L, __pyx_n_s_append, x);
        if (unlikely(!retval))
            return -1;
        Py_DECREF(retval);
    }
    return 0;
}

/* PyIntBinop */
        #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, int inplace, int zerodivision_check) {
    (void)inplace;
    (void)zerodivision_check;
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a + b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                    CYTHON_FALLTHROUGH;
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

/* KeywordStringCheck */
        static int __Pyx_CheckKeywordStrings(
    PyObject *kwdict,
    const char* function_name,
    int kw_allowed)
{
    PyObject* key = 0;
    Py_ssize_t pos = 0;
#if CYTHON_COMPILING_IN_PYPY
    if (!kw_allowed && PyDict_Next(kwdict, &pos, &key, 0))
        goto invalid_keyword;
    return 1;
#else
    while (PyDict_Next(kwdict, &pos, &key, 0)) {
        #if PY_MAJOR_VERSION < 3
        if (unlikely(!PyString_Check(key)))
        #endif
            if (unlikely(!PyUnicode_Check(key)))
                goto invalid_keyword_type;
    }
    if ((!kw_allowed) && unlikely(key))
        goto invalid_keyword;
    return 1;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    return 0;
#endif
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
    return 0;
}

/* decode_c_string */
        static CYTHON_INLINE PyObject* __Pyx_decode_c_string(
         const char* cstring, Py_ssize_t start, Py_ssize_t stop,
         const char* encoding, const char* errors,
         PyObject* (*decode_func)(const char *s, Py_ssize_t size, const char *errors)) {
    Py_ssize_t length;
    if (unlikely((start < 0) | (stop < 0))) {
        size_t slen = strlen(cstring);
        if (unlikely(slen > (size_t) PY_SSIZE_T_MAX)) {
            PyErr_SetString(PyExc_OverflowError,
                            "c-string too long to convert to Python");
            return NULL;
        }
        length = (Py_ssize_t) slen;
        if (start < 0) {
            start += length;
            if (start < 0)
                start = 0;
        }
        if (stop < 0)
            stop += length;
    }
    if (unlikely(stop <= start))
        return __Pyx_NewRef(__pyx_empty_unicode);
    length = stop - start;
    cstring += start;
    if (decode_func) {
        return decode_func(cstring, length, errors);
    } else {
        return PyUnicode_Decode(cstring, length, encoding, errors);
    }
}

/* Import */
        static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if ((1) && (strchr(__Pyx_MODULE_NAME, '.'))) {
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_MAJOR_VERSION < 3
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, (PyObject *)NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

/* ImportFrom */
        static PyObject* __Pyx_ImportFrom(PyObject* module, PyObject* name) {
    PyObject* value = __Pyx_PyObject_GetAttrStr(module, name);
    if (unlikely(!value) && PyErr_ExceptionMatches(PyExc_AttributeError)) {
        PyErr_Format(PyExc_ImportError,
        #if PY_MAJOR_VERSION < 3
            "cannot import name %.230s", PyString_AS_STRING(name));
        #else
            "cannot import name %S", name);
        #endif
    }
    return value;
}

/* HasAttr */
        static CYTHON_INLINE int __Pyx_HasAttr(PyObject *o, PyObject *n) {
    PyObject *r;
    if (unlikely(!__Pyx_PyBaseString_Check(n))) {
        PyErr_SetString(PyExc_TypeError,
                        "hasattr(): attribute name must be string");
        return -1;
    }
    r = __Pyx_GetAttr(o, n);
    if (unlikely(!r)) {
        PyErr_Clear();
        return 0;
    } else {
        Py_DECREF(r);
        return 1;
    }
}

/* DivInt[Py_ssize_t] */
        static CYTHON_INLINE Py_ssize_t __Pyx_div_Py_ssize_t(Py_ssize_t a, Py_ssize_t b) {
    Py_ssize_t q = a / b;
    Py_ssize_t r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

/* FastTypeChecks */
        #if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = a->tp_base;
        if (a == b)
            return 1;
    }
    return b == &PyBaseObject_Type;
}
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (a == b) return 1;
    mro = a->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            if (PyTuple_GET_ITEM(mro, i) == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(a, b);
}
#if PY_MAJOR_VERSION == 2
static int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject* exc_type2) {
    PyObject *exception, *value, *tb;
    int res;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    __Pyx_ErrFetch(&exception, &value, &tb);
    res = exc_type1 ? PyObject_IsSubclass(err, exc_type1) : 0;
    if (unlikely(res == -1)) {
        PyErr_WriteUnraisable(err);
        res = 0;
    }
    if (!res) {
        res = PyObject_IsSubclass(err, exc_type2);
        if (unlikely(res == -1)) {
            PyErr_WriteUnraisable(err);
            res = 0;
        }
    }
    __Pyx_ErrRestore(exception, value, tb);
    return res;
}
#else
static CYTHON_INLINE int __Pyx_inner_PyErr_GivenExceptionMatches2(PyObject *err, PyObject* exc_type1, PyObject *exc_type2) {
    int res = exc_type1 ? __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type1) : 0;
    if (!res) {
        res = __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
    return res;
}
#endif
static int __Pyx_PyErr_GivenExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {
    Py_ssize_t i, n;
    assert(PyExceptionClass_Check(exc_type));
    n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3
    for (i=0; i<n; i++) {
        if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;
    }
#endif
    for (i=0; i<n; i++) {
        PyObject *t = PyTuple_GET_ITEM(tuple, i);
        #if PY_MAJOR_VERSION < 3
        if (likely(exc_type == t)) return 1;
        #endif
        if (likely(PyExceptionClass_Check(t))) {
            if (__Pyx_inner_PyErr_GivenExceptionMatches2(exc_type, NULL, t)) return 1;
        } else {
        }
    }
    return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {
    if (likely(err == exc_type)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        if (likely(PyExceptionClass_Check(exc_type))) {
            return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);
        } else if (likely(PyTuple_Check(exc_type))) {
            return __Pyx_PyErr_GivenExceptionMatchesTuple(err, exc_type);
        } else {
        }
    }
    return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *exc_type2) {
    assert(PyExceptionClass_Check(exc_type1));
    assert(PyExceptionClass_Check(exc_type2));
    if (likely(err == exc_type1 || err == exc_type2)) return 1;
    if (likely(PyExceptionClass_Check(err))) {
        return __Pyx_inner_PyErr_GivenExceptionMatches2(err, exc_type1, exc_type2);
    }
    return (PyErr_GivenExceptionMatches(err, exc_type1) || PyErr_GivenExceptionMatches(err, exc_type2));
}
#endif

/* DivInt[long] */
        static CYTHON_INLINE long __Pyx_div_long(long a, long b) {
    long q = a / b;
    long r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

/* CallNextTpTraverse */
        static int __Pyx_call_next_tp_traverse(PyObject* obj, visitproc v, void *a, traverseproc current_tp_traverse) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_traverse != current_tp_traverse)
        type = type->tp_base;
    while (type && type->tp_traverse == current_tp_traverse)
        type = type->tp_base;
    if (type && type->tp_traverse)
        return type->tp_traverse(obj, v, a);
    return 0;
}

/* CallNextTpClear */
        static void __Pyx_call_next_tp_clear(PyObject* obj, inquiry current_tp_clear) {
    PyTypeObject* type = Py_TYPE(obj);
    while (type && type->tp_clear != current_tp_clear)
        type = type->tp_base;
    while (type && type->tp_clear == current_tp_clear)
        type = type->tp_base;
    if (type && type->tp_clear)
        type->tp_clear(obj);
}

/* PyObject_GenericGetAttrNoDict */
        #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject *__Pyx_RaiseGenericGetAttributeError(PyTypeObject *tp, PyObject *attr_name) {
    PyErr_Format(PyExc_AttributeError,
#if PY_MAJOR_VERSION >= 3
                 "'%.50s' object has no attribute '%U'",
                 tp->tp_name, attr_name);
#else
                 "'%.50s' object has no attribute '%.400s'",
                 tp->tp_name, PyString_AS_STRING(attr_name));
#endif
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GenericGetAttrNoDict(PyObject* obj, PyObject* attr_name) {
    PyObject *descr;
    PyTypeObject *tp = Py_TYPE(obj);
    if (unlikely(!PyString_Check(attr_name))) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    assert(!tp->tp_dictoffset);
    descr = _PyType_Lookup(tp, attr_name);
    if (unlikely(!descr)) {
        return __Pyx_RaiseGenericGetAttributeError(tp, attr_name);
    }
    Py_INCREF(descr);
    #if PY_MAJOR_VERSION < 3
    if (likely(PyType_HasFeature(Py_TYPE(descr), Py_TPFLAGS_HAVE_CLASS)))
    #endif
    {
        descrgetfunc f = Py_TYPE(descr)->tp_descr_get;
        if (unlikely(f)) {
            PyObject *res = f(descr, obj, (PyObject *)tp);
            Py_DECREF(descr);
            return res;
        }
    }
    return descr;
}
#endif

/* PyObject_GenericGetAttr */
        #if CYTHON_USE_TYPE_SLOTS && CYTHON_USE_PYTYPE_LOOKUP && PY_VERSION_HEX < 0x03070000
static PyObject* __Pyx_PyObject_GenericGetAttr(PyObject* obj, PyObject* attr_name) {
    if (unlikely(Py_TYPE(obj)->tp_dictoffset)) {
        return PyObject_GenericGetAttr(obj, attr_name);
    }
    return __Pyx_PyObject_GenericGetAttrNoDict(obj, attr_name);
}
#endif

/* PyObjectGetAttrStrNoError */
        static void __Pyx_PyObject_GetAttrStr_ClearAttributeError(void) {
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (likely(__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        __Pyx_PyErr_Clear();
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStrNoError(PyObject* obj, PyObject* attr_name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON && CYTHON_USE_TYPE_SLOTS && PY_VERSION_HEX >= 0x030700B1
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro == PyObject_GenericGetAttr)) {
        return _PyObject_GenericGetAttrWithDict(obj, attr_name, NULL, 1);
    }
#endif
    result = __Pyx_PyObject_GetAttrStr(obj, attr_name);
    if (unlikely(!result)) {
        __Pyx_PyObject_GetAttrStr_ClearAttributeError();
    }
    return result;
}

/* SetupReduce */
        static int __Pyx_setup_reduce_is_named(PyObject* meth, PyObject* name) {
  int ret;
  PyObject *name_attr;
  name_attr = __Pyx_PyObject_GetAttrStr(meth, __pyx_n_s_name_2);
  if (likely(name_attr)) {
      ret = PyObject_RichCompareBool(name_attr, name, Py_EQ);
  } else {
      ret = -1;
  }
  if (unlikely(ret < 0)) {
      PyErr_Clear();
      ret = 0;
  }
  Py_XDECREF(name_attr);
  return ret;
}
static int __Pyx_setup_reduce(PyObject* type_obj) {
    int ret = 0;
    PyObject *object_reduce = NULL;
    PyObject *object_reduce_ex = NULL;
    PyObject *reduce = NULL;
    PyObject *reduce_ex = NULL;
    PyObject *reduce_cython = NULL;
    PyObject *setstate = NULL;
    PyObject *setstate_cython = NULL;
#if CYTHON_USE_PYTYPE_LOOKUP
    if (_PyType_Lookup((PyTypeObject*)type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
#else
    if (PyObject_HasAttr(type_obj, __pyx_n_s_getstate)) goto __PYX_GOOD;
#endif
#if CYTHON_USE_PYTYPE_LOOKUP
    object_reduce_ex = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#else
    object_reduce_ex = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce_ex); if (!object_reduce_ex) goto __PYX_BAD;
#endif
    reduce_ex = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce_ex); if (unlikely(!reduce_ex)) goto __PYX_BAD;
    if (reduce_ex == object_reduce_ex) {
#if CYTHON_USE_PYTYPE_LOOKUP
        object_reduce = _PyType_Lookup(&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#else
        object_reduce = __Pyx_PyObject_GetAttrStr((PyObject*)&PyBaseObject_Type, __pyx_n_s_reduce); if (!object_reduce) goto __PYX_BAD;
#endif
        reduce = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_reduce); if (unlikely(!reduce)) goto __PYX_BAD;
        if (reduce == object_reduce || __Pyx_setup_reduce_is_named(reduce, __pyx_n_s_reduce_cython)) {
            reduce_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_reduce_cython);
            if (likely(reduce_cython)) {
                ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce, reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_reduce_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
            } else if (reduce == object_reduce || PyErr_Occurred()) {
                goto __PYX_BAD;
            }
            setstate = __Pyx_PyObject_GetAttrStr(type_obj, __pyx_n_s_setstate);
            if (!setstate) PyErr_Clear();
            if (!setstate || __Pyx_setup_reduce_is_named(setstate, __pyx_n_s_setstate_cython)) {
                setstate_cython = __Pyx_PyObject_GetAttrStrNoError(type_obj, __pyx_n_s_setstate_cython);
                if (likely(setstate_cython)) {
                    ret = PyDict_SetItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate, setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                    ret = PyDict_DelItem(((PyTypeObject*)type_obj)->tp_dict, __pyx_n_s_setstate_cython); if (unlikely(ret < 0)) goto __PYX_BAD;
                } else if (!setstate || PyErr_Occurred()) {
                    goto __PYX_BAD;
                }
            }
            PyType_Modified((PyTypeObject*)type_obj);
        }
    }
    goto __PYX_GOOD;
__PYX_BAD:
    if (!PyErr_Occurred())
        PyErr_Format(PyExc_RuntimeError, "Unable to initialize pickling for %s", ((PyTypeObject*)type_obj)->tp_name);
    ret = -1;
__PYX_GOOD:
#if !CYTHON_USE_PYTYPE_LOOKUP
    Py_XDECREF(object_reduce);
    Py_XDECREF(object_reduce_ex);
#endif
    Py_XDECREF(reduce);
    Py_XDECREF(reduce_ex);
    Py_XDECREF(reduce_cython);
    Py_XDECREF(setstate);
    Py_XDECREF(setstate_cython);
    return ret;
}

/* SetVTable */
        static int __Pyx_SetVtable(PyObject *dict, void *vtable) {
#if PY_VERSION_HEX >= 0x02070000
    PyObject *ob = PyCapsule_New(vtable, 0, 0);
#else
    PyObject *ob = PyCObject_FromVoidPtr(vtable, 0);
#endif
    if (!ob)
        goto bad;
    if (PyDict_SetItem(dict, __pyx_n_s_pyx_vtable, ob) < 0)
        goto bad;
    Py_DECREF(ob);
    return 0;
bad:
    Py_XDECREF(ob);
    return -1;
}

/* TypeImport */
        #ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(PyObject *module, const char *module_name, const char *class_name,
    size_t size, enum __Pyx_ImportType_CheckSize check_size)
{
    PyObject *result = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    result = PyObject_GetAttrString(module, class_name);
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if ((size_t)basicsize < size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    if (check_size == __Pyx_ImportType_CheckSize_Error && (size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        goto bad;
    }
    else if (check_size == __Pyx_ImportType_CheckSize_Warn && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd from PyObject",
            module_name, class_name, size, basicsize);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(result);
    return NULL;
}
#endif

/* ClassMethod */
        static PyObject* __Pyx_Method_ClassMethod(PyObject *method) {
#if CYTHON_COMPILING_IN_PYPY && PYPY_VERSION_NUM <= 0x05080000
    if (PyObject_TypeCheck(method, &PyWrapperDescr_Type)) {
        return PyClassMethod_New(method);
    }
#else
#if CYTHON_COMPILING_IN_PYSTON || CYTHON_COMPILING_IN_PYPY
    if (PyMethodDescr_Check(method))
#else
    #if PY_MAJOR_VERSION == 2
    static PyTypeObject *methoddescr_type = NULL;
    if (methoddescr_type == NULL) {
       PyObject *meth = PyObject_GetAttrString((PyObject*)&PyList_Type, "append");
       if (!meth) return NULL;
       methoddescr_type = Py_TYPE(meth);
       Py_DECREF(meth);
    }
    #else
    PyTypeObject *methoddescr_type = &PyMethodDescr_Type;
    #endif
    if (__Pyx_TypeCheck(method, methoddescr_type))
#endif
    {
        PyMethodDescrObject *descr = (PyMethodDescrObject *)method;
        #if PY_VERSION_HEX < 0x03020000
        PyTypeObject *d_type = descr->d_type;
        #else
        PyTypeObject *d_type = descr->d_common.d_type;
        #endif
        return PyDescr_NewClassMethod(d_type, descr->d_method);
    }
#endif
    else if (PyMethod_Check(method)) {
        return PyClassMethod_New(PyMethod_GET_FUNCTION(method));
    }
    else {
        return PyClassMethod_New(method);
    }
}

/* GetNameInClass */
        static PyObject *__Pyx_GetGlobalNameAfterAttributeLookup(PyObject *name) {
    PyObject *result;
    __Pyx_PyThreadState_declare
    __Pyx_PyThreadState_assign
    if (unlikely(!__Pyx_PyErr_ExceptionMatches(PyExc_AttributeError)))
        return NULL;
    __Pyx_PyErr_Clear();
    __Pyx_GetModuleGlobalNameUncached(result, name);
    return result;
}
static PyObject *__Pyx__GetNameInClass(PyObject *nmspace, PyObject *name) {
    PyObject *result;
    result = __Pyx_PyObject_GetAttrStr(nmspace, name);
    if (!result) {
        result = __Pyx_GetGlobalNameAfterAttributeLookup(name);
    }
    return result;
}

/* CLineInTraceback */
        #ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(CYTHON_NCP_UNUSED PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    if (unlikely(!__pyx_cython_runtime)) {
        return c_line;
    }
    __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHON
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (likely(cython_runtime_dict)) {
        __PYX_PY_DICT_LOOKUP_IF_MODIFIED(
            use_cline, *cython_runtime_dict,
            __Pyx_PyDict_GetItemStr(*cython_runtime_dict, __pyx_n_s_cline_in_traceback))
    } else
#endif
    {
      PyObject *use_cline_obj = __Pyx_PyObject_GetAttrStr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback);
      if (use_cline_obj) {
        use_cline = PyObject_Not(use_cline_obj) ? Py_False : Py_True;
        Py_DECREF(use_cline_obj);
      } else {
        PyErr_Clear();
        use_cline = NULL;
      }
    }
    if (!use_cline) {
        c_line = 0;
        (void) PyObject_SetAttr(__pyx_cython_runtime, __pyx_n_s_cline_in_traceback, Py_False);
    }
    else if (use_cline == Py_False || (use_cline != Py_True && PyObject_Not(use_cline) != 0)) {
        c_line = 0;
    }
    __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
    return c_line;
}
#endif

/* CodeObjectCache */
        static int __pyx_bisect_code_objects(__Pyx_CodeObjectCacheEntry* entries, int count, int code_line) {
    int start = 0, mid = 0, end = count - 1;
    if (end >= 0 && code_line > entries[end].code_line) {
        return count;
    }
    while (start < end) {
        mid = start + (end - start) / 2;
        if (code_line < entries[mid].code_line) {
            end = mid;
        } else if (code_line > entries[mid].code_line) {
             start = mid + 1;
        } else {
            return mid;
        }
    }
    if (code_line <= entries[mid].code_line) {
        return mid;
    } else {
        return mid + 1;
    }
}
static PyCodeObject *__pyx_find_code_object(int code_line) {
    PyCodeObject* code_object;
    int pos;
    if (unlikely(!code_line) || unlikely(!__pyx_code_cache.entries)) {
        return NULL;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if (unlikely(pos >= __pyx_code_cache.count) || unlikely(__pyx_code_cache.entries[pos].code_line != code_line)) {
        return NULL;
    }
    code_object = __pyx_code_cache.entries[pos].code_object;
    Py_INCREF(code_object);
    return code_object;
}
static void __pyx_insert_code_object(int code_line, PyCodeObject* code_object) {
    int pos, i;
    __Pyx_CodeObjectCacheEntry* entries = __pyx_code_cache.entries;
    if (unlikely(!code_line)) {
        return;
    }
    if (unlikely(!entries)) {
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Malloc(64*sizeof(__Pyx_CodeObjectCacheEntry));
        if (likely(entries)) {
            __pyx_code_cache.entries = entries;
            __pyx_code_cache.max_count = 64;
            __pyx_code_cache.count = 1;
            entries[0].code_line = code_line;
            entries[0].code_object = code_object;
            Py_INCREF(code_object);
        }
        return;
    }
    pos = __pyx_bisect_code_objects(__pyx_code_cache.entries, __pyx_code_cache.count, code_line);
    if ((pos < __pyx_code_cache.count) && unlikely(__pyx_code_cache.entries[pos].code_line == code_line)) {
        PyCodeObject* tmp = entries[pos].code_object;
        entries[pos].code_object = code_object;
        Py_DECREF(tmp);
        return;
    }
    if (__pyx_code_cache.count == __pyx_code_cache.max_count) {
        int new_max = __pyx_code_cache.max_count + 64;
        entries = (__Pyx_CodeObjectCacheEntry*)PyMem_Realloc(
            __pyx_code_cache.entries, ((size_t)new_max) * sizeof(__Pyx_CodeObjectCacheEntry));
        if (unlikely(!entries)) {
            return;
        }
        __pyx_code_cache.entries = entries;
        __pyx_code_cache.max_count = new_max;
    }
    for (i=__pyx_code_cache.count; i>pos; i--) {
        entries[i] = entries[i-1];
    }
    entries[pos].code_line = code_line;
    entries[pos].code_object = code_object;
    __pyx_code_cache.count++;
    Py_INCREF(code_object);
}

/* AddTraceback */
        #include "compile.h"
#include "frameobject.h"
#include "traceback.h"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = NULL;
    PyObject *py_funcname = NULL;
    #if PY_MAJOR_VERSION < 3
    PyObject *py_srcfile = NULL;
    py_srcfile = PyString_FromString(filename);
    if (!py_srcfile) goto bad;
    #endif
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        if (!py_funcname) goto bad;
        funcname = PyUnicode_AsUTF8(py_funcname);
        if (!funcname) goto bad;
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        if (!py_funcname) goto bad;
        #endif
    }
    #if PY_MAJOR_VERSION < 3
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    #else
    py_code = PyCode_NewEmpty(filename, funcname, py_line);
    #endif
    Py_XDECREF(py_funcname);  // XDECREF since it's only set on Py3 if cline
    return py_code;
bad:
    Py_XDECREF(py_funcname);
    #if PY_MAJOR_VERSION < 3
    Py_XDECREF(py_srcfile);
    #endif
    return NULL;
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_array_type)) return __pyx_array_getbuffer(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_memoryview_type)) return __pyx_memoryview_getbuffer(obj, view, flags);
    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    if (!obj) return;
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
    if ((0)) {}
    view->obj = NULL;
    Py_DECREF(obj);
}
#endif


        /* MemviewSliceIsContig */
        static int
__pyx_memviewslice_is_contig(const __Pyx_memviewslice mvs, char order, int ndim)
{
    int i, index, step, start;
    Py_ssize_t itemsize = mvs.memview->view.itemsize;
    if (order == 'F') {
        step = 1;
        start = 0;
    } else {
        step = -1;
        start = ndim - 1;
    }
    for (i = 0; i < ndim; i++) {
        index = start + step * i;
        if (mvs.suboffsets[index] >= 0 || mvs.strides[index] != itemsize)
            return 0;
        itemsize *= mvs.shape[index];
    }
    return 1;
}

/* OverlappingSlices */
        static void
__pyx_get_array_memory_extents(__Pyx_memviewslice *slice,
                               void **out_start, void **out_end,
                               int ndim, size_t itemsize)
{
    char *start, *end;
    int i;
    start = end = slice->data;
    for (i = 0; i < ndim; i++) {
        Py_ssize_t stride = slice->strides[i];
        Py_ssize_t extent = slice->shape[i];
        if (extent == 0) {
            *out_start = *out_end = start;
            return;
        } else {
            if (stride > 0)
                end += stride * (extent - 1);
            else
                start += stride * (extent - 1);
        }
    }
    *out_start = start;
    *out_end = end + itemsize;
}
static int
__pyx_slices_overlap(__Pyx_memviewslice *slice1,
                     __Pyx_memviewslice *slice2,
                     int ndim, size_t itemsize)
{
    void *start1, *end1, *start2, *end2;
    __pyx_get_array_memory_extents(slice1, &start1, &end1, ndim, itemsize);
    __pyx_get_array_memory_extents(slice2, &start2, &end2, ndim, itemsize);
    return (start1 < end2) && (start2 < end1);
}

/* Capsule */
        static CYTHON_INLINE PyObject *
__pyx_capsule_create(void *p, CYTHON_UNUSED const char *sig)
{
    PyObject *cobj;
#if PY_VERSION_HEX >= 0x02070000
    cobj = PyCapsule_New(p, sig, NULL);
#else
    cobj = PyCObject_FromVoidPtr(p, NULL);
#endif
    return cobj;
}

/* MemviewDtypeToObject */
        static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_8CmoArray_f64(const char *itemp) {
    return (PyObject *) PyFloat_FromDouble(*(__pyx_t_8CmoArray_f64 *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_8CmoArray_f64(const char *itemp, PyObject *obj) {
    __pyx_t_8CmoArray_f64 value = __pyx_PyFloat_AsDouble(obj);
    if ((value == (double)-1) && PyErr_Occurred())
        return 0;
    *(__pyx_t_8CmoArray_f64 *) itemp = value;
    return 1;
}

/* TypeInfoCompare */
        static int
__pyx_typeinfo_cmp(__Pyx_TypeInfo *a, __Pyx_TypeInfo *b)
{
    int i;
    if (!a || !b)
        return 0;
    if (a == b)
        return 1;
    if (a->size != b->size || a->typegroup != b->typegroup ||
            a->is_unsigned != b->is_unsigned || a->ndim != b->ndim) {
        if (a->typegroup == 'H' || b->typegroup == 'H') {
            return a->size == b->size;
        } else {
            return 0;
        }
    }
    if (a->ndim) {
        for (i = 0; i < a->ndim; i++)
            if (a->arraysize[i] != b->arraysize[i])
                return 0;
    }
    if (a->typegroup == 'S') {
        if (a->flags != b->flags)
            return 0;
        if (a->fields || b->fields) {
            if (!(a->fields && b->fields))
                return 0;
            for (i = 0; a->fields[i].type && b->fields[i].type; i++) {
                __Pyx_StructField *field_a = a->fields + i;
                __Pyx_StructField *field_b = b->fields + i;
                if (field_a->offset != field_b->offset ||
                    !__pyx_typeinfo_cmp(field_a->type, field_b->type))
                    return 0;
            }
            return !a->fields[i].type && !b->fields[i].type;
        }
    }
    return 1;
}

/* MemviewSliceValidateAndInit */
        static int
__pyx_check_strides(Py_buffer *buf, int dim, int ndim, int spec)
{
    if (buf->shape[dim] <= 1)
        return 1;
    if (buf->strides) {
        if (spec & __Pyx_MEMVIEW_CONTIG) {
            if (spec & (__Pyx_MEMVIEW_PTR|__Pyx_MEMVIEW_FULL)) {
                if (unlikely(buf->strides[dim] != sizeof(void *))) {
                    PyErr_Format(PyExc_ValueError,
                                 "Buffer is not indirectly contiguous "
                                 "in dimension %d.", dim);
                    goto fail;
                }
            } else if (unlikely(buf->strides[dim] != buf->itemsize)) {
                PyErr_SetString(PyExc_ValueError,
                                "Buffer and memoryview are not contiguous "
                                "in the same dimension.");
                goto fail;
            }
        }
        if (spec & __Pyx_MEMVIEW_FOLLOW) {
            Py_ssize_t stride = buf->strides[dim];
            if (stride < 0)
                stride = -stride;
            if (unlikely(stride < buf->itemsize)) {
                PyErr_SetString(PyExc_ValueError,
                                "Buffer and memoryview are not contiguous "
                                "in the same dimension.");
                goto fail;
            }
        }
    } else {
        if (unlikely(spec & __Pyx_MEMVIEW_CONTIG && dim != ndim - 1)) {
            PyErr_Format(PyExc_ValueError,
                         "C-contiguous buffer is not contiguous in "
                         "dimension %d", dim);
            goto fail;
        } else if (unlikely(spec & (__Pyx_MEMVIEW_PTR))) {
            PyErr_Format(PyExc_ValueError,
                         "C-contiguous buffer is not indirect in "
                         "dimension %d", dim);
            goto fail;
        } else if (unlikely(buf->suboffsets)) {
            PyErr_SetString(PyExc_ValueError,
                            "Buffer exposes suboffsets but no strides");
            goto fail;
        }
    }
    return 1;
fail:
    return 0;
}
static int
__pyx_check_suboffsets(Py_buffer *buf, int dim, CYTHON_UNUSED int ndim, int spec)
{
    if (spec & __Pyx_MEMVIEW_DIRECT) {
        if (unlikely(buf->suboffsets && buf->suboffsets[dim] >= 0)) {
            PyErr_Format(PyExc_ValueError,
                         "Buffer not compatible with direct access "
                         "in dimension %d.", dim);
            goto fail;
        }
    }
    if (spec & __Pyx_MEMVIEW_PTR) {
        if (unlikely(!buf->suboffsets || (buf->suboffsets[dim] < 0))) {
            PyErr_Format(PyExc_ValueError,
                         "Buffer is not indirectly accessible "
                         "in dimension %d.", dim);
            goto fail;
        }
    }
    return 1;
fail:
    return 0;
}
static int
__pyx_verify_contig(Py_buffer *buf, int ndim, int c_or_f_flag)
{
    int i;
    if (c_or_f_flag & __Pyx_IS_F_CONTIG) {
        Py_ssize_t stride = 1;
        for (i = 0; i < ndim; i++) {
            if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {
                PyErr_SetString(PyExc_ValueError,
                    "Buffer not fortran contiguous.");
                goto fail;
            }
            stride = stride * buf->shape[i];
        }
    } else if (c_or_f_flag & __Pyx_IS_C_CONTIG) {
        Py_ssize_t stride = 1;
        for (i = ndim - 1; i >- 1; i--) {
            if (unlikely(stride * buf->itemsize != buf->strides[i]  &&  buf->shape[i] > 1)) {
                PyErr_SetString(PyExc_ValueError,
                    "Buffer not C contiguous.");
                goto fail;
            }
            stride = stride * buf->shape[i];
        }
    }
    return 1;
fail:
    return 0;
}
static int __Pyx_ValidateAndInit_memviewslice(
                int *axes_specs,
                int c_or_f_flag,
                int buf_flags,
                int ndim,
                __Pyx_TypeInfo *dtype,
                __Pyx_BufFmt_StackElem stack[],
                __Pyx_memviewslice *memviewslice,
                PyObject *original_obj)
{
    struct __pyx_memoryview_obj *memview, *new_memview;
    __Pyx_RefNannyDeclarations
    Py_buffer *buf;
    int i, spec = 0, retval = -1;
    __Pyx_BufFmt_Context ctx;
    int from_memoryview = __pyx_memoryview_check(original_obj);
    __Pyx_RefNannySetupContext("ValidateAndInit_memviewslice", 0);
    if (from_memoryview && __pyx_typeinfo_cmp(dtype, ((struct __pyx_memoryview_obj *)
                                                            original_obj)->typeinfo)) {
        memview = (struct __pyx_memoryview_obj *) original_obj;
        new_memview = NULL;
    } else {
        memview = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                            original_obj, buf_flags, 0, dtype);
        new_memview = memview;
        if (unlikely(!memview))
            goto fail;
    }
    buf = &memview->view;
    if (unlikely(buf->ndim != ndim)) {
        PyErr_Format(PyExc_ValueError,
                "Buffer has wrong number of dimensions (expected %d, got %d)",
                ndim, buf->ndim);
        goto fail;
    }
    if (new_memview) {
        __Pyx_BufFmt_Init(&ctx, stack, dtype);
        if (unlikely(!__Pyx_BufFmt_CheckString(&ctx, buf->format))) goto fail;
    }
    if (unlikely((unsigned) buf->itemsize != dtype->size)) {
        PyErr_Format(PyExc_ValueError,
                     "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "u byte%s) "
                     "does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "u byte%s)",
                     buf->itemsize,
                     (buf->itemsize > 1) ? "s" : "",
                     dtype->name,
                     dtype->size,
                     (dtype->size > 1) ? "s" : "");
        goto fail;
    }
    if (buf->len > 0) {
        for (i = 0; i < ndim; i++) {
            spec = axes_specs[i];
            if (unlikely(!__pyx_check_strides(buf, i, ndim, spec)))
                goto fail;
            if (unlikely(!__pyx_check_suboffsets(buf, i, ndim, spec)))
                goto fail;
        }
        if (unlikely(buf->strides && !__pyx_verify_contig(buf, ndim, c_or_f_flag)))
            goto fail;
    }
    if (unlikely(__Pyx_init_memviewslice(memview, ndim, memviewslice,
                                         new_memview != NULL) == -1)) {
        goto fail;
    }
    retval = 0;
    goto no_fail;
fail:
    Py_XDECREF(new_memview);
    retval = -1;
no_fail:
    __Pyx_RefNannyFinishContext();
    return retval;
}

/* ObjectToMemviewSlice */
        static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_8CmoArray_f64(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_8CmoArray_f64, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
        static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_8CmoArray_f64(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_8CmoArray_f64, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* CIntFromPyVerify */
        #define __PYX_VERIFY_RETURN_INT(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 0)
#define __PYX_VERIFY_RETURN_INT_EXC(target_type, func_type, func_value)\
    __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, 1)
#define __PYX__VERIFY_RETURN_INT(target_type, func_type, func_value, exc)\
    {\
        func_type value = func_value;\
        if (sizeof(target_type) < sizeof(func_type)) {\
            if (unlikely(value != (func_type) (target_type) value)) {\
                func_type zero = 0;\
                if (exc && unlikely(value == (func_type)-1 && PyErr_Occurred()))\
                    return (target_type) -1;\
                if (is_unsigned && unlikely(value < zero))\
                    goto raise_neg_overflow;\
                else\
                    goto raise_overflow;\
            }\
        }\
        return (target_type) value;\
    }

/* ObjectToMemviewSlice */
        static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_nn___pyx_t_8CmoArray_f64(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 3,
                                                 &__Pyx_TypeInfo_nn___pyx_t_8CmoArray_f64, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
        static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_d_dc_nn___pyx_t_8CmoArray_f64(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 4,
                                                 &__Pyx_TypeInfo_nn___pyx_t_8CmoArray_f64, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
        static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_11lightweaver_10LwCompiled_i64(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_11lightweaver_10LwCompiled_i64, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
        static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_11lightweaver_10LwCompiled_i64(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_11lightweaver_10LwCompiled_i64, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
        static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_dc_nn___pyx_t_11lightweaver_10LwCompiled_i64(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 3,
                                                 &__Pyx_TypeInfo_nn___pyx_t_11lightweaver_10LwCompiled_i64, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
        static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_d_d_dc_nn___pyx_t_11lightweaver_10LwCompiled_i64(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 4,
                                                 &__Pyx_TypeInfo_nn___pyx_t_11lightweaver_10LwCompiled_i64, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
        static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_d_dc_nn___pyx_t_5numpy_int32_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_FOLLOW), (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 2,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int32_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* ObjectToMemviewSlice */
        static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_11lightweaver_10LwCompiled_i8(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_11lightweaver_10LwCompiled_i8, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* MemviewDtypeToObject */
        static CYTHON_INLINE PyObject *__pyx_memview_get_nn___pyx_t_11lightweaver_10LwCompiled_i8(const char *itemp) {
    return (PyObject *) __Pyx_PyInt_From_npy_int8(*(__pyx_t_11lightweaver_10LwCompiled_i8 *) itemp);
}
static CYTHON_INLINE int __pyx_memview_set_nn___pyx_t_11lightweaver_10LwCompiled_i8(const char *itemp, PyObject *obj) {
    __pyx_t_11lightweaver_10LwCompiled_i8 value = __Pyx_PyInt_As_npy_int8(obj);
    if ((value == ((npy_int8)-1)) && PyErr_Occurred())
        return 0;
    *(__pyx_t_11lightweaver_10LwCompiled_i8 *) itemp = value;
    return 1;
}

/* ObjectToMemviewSlice */
        static CYTHON_INLINE __Pyx_memviewslice __Pyx_PyObject_to_MemoryviewSlice_dc_nn___pyx_t_5numpy_int32_t(PyObject *obj, int writable_flag) {
    __Pyx_memviewslice result = { 0, 0, { 0 }, { 0 }, { 0 } };
    __Pyx_BufFmt_StackElem stack[1];
    int axes_specs[] = { (__Pyx_MEMVIEW_DIRECT | __Pyx_MEMVIEW_CONTIG) };
    int retcode;
    if (obj == Py_None) {
        result.memview = (struct __pyx_memoryview_obj *) Py_None;
        return result;
    }
    retcode = __Pyx_ValidateAndInit_memviewslice(axes_specs, __Pyx_IS_C_CONTIG,
                                                 (PyBUF_C_CONTIGUOUS | PyBUF_FORMAT) | writable_flag, 1,
                                                 &__Pyx_TypeInfo_nn___pyx_t_5numpy_int32_t, stack,
                                                 &result, obj);
    if (unlikely(retcode == -1))
        goto __pyx_fail;
    return result;
__pyx_fail:
    result.memview = NULL;
    result.data = NULL;
    return result;
}

/* Declarations */
        #if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return ::std::complex< float >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
        #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_sum_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_diff_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_prod_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabsf(b.real) >= fabsf(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                float r = b.imag / b.real;
                float s = (float)(1.0) / (b.real + b.imag * r);
                return __pyx_t_float_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            float r = b.real / b.imag;
            float s = (float)(1.0) / (b.imag + b.real * r);
            return __pyx_t_float_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quot_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        if (b.imag == 0) {
            return __pyx_t_float_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            float denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_float_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_neg_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_float(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conj_float(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE float __Pyx_c_abs_float(__pyx_t_float_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrtf(z.real*z.real + z.imag*z.imag);
          #else
            return hypotf(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_pow_float(__pyx_t_float_complex a, __pyx_t_float_complex b) {
            __pyx_t_float_complex z;
            float r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    float denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_float(a, a);
                    case 3:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, a);
                    case 4:
                        z = __Pyx_c_prod_float(a, a);
                        return __Pyx_c_prod_float(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = powf(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2f(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_float(a);
                theta = atan2f(a.imag, a.real);
            }
            lnr = logf(r);
            z_r = expf(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cosf(z_theta);
            z.imag = z_r * sinf(z_theta);
            return z;
        }
    #endif
#endif

/* Declarations */
        #if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return ::std::complex< double >(x, y);
    }
  #else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
  #endif
#else
    static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex z;
      z.real = x;
      z.imag = y;
      return z;
    }
#endif

/* Arithmetic */
        #if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) && (a.imag == b.imag);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_sum_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_diff_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_prod_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }
    #if 1
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else if (fabs(b.real) >= fabs(b.imag)) {
            if (b.real == 0 && b.imag == 0) {
                return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.imag);
            } else {
                double r = b.imag / b.real;
                double s = (double)(1.0) / (b.real + b.imag * r);
                return __pyx_t_double_complex_from_parts(
                    (a.real + a.imag * r) * s, (a.imag - a.real * r) * s);
            }
        } else {
            double r = b.real / b.imag;
            double s = (double)(1.0) / (b.imag + b.real * r);
            return __pyx_t_double_complex_from_parts(
                (a.real * r + a.imag) * s, (a.imag * r - a.real) * s);
        }
    }
    #else
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        if (b.imag == 0) {
            return __pyx_t_double_complex_from_parts(a.real / b.real, a.imag / b.real);
        } else {
            double denom = b.real * b.real + b.imag * b.imag;
            return __pyx_t_double_complex_from_parts(
                (a.real * b.real + a.imag * b.imag) / denom,
                (a.imag * b.real - a.real * b.imag) / denom);
        }
    }
    #endif
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }
    static CYTHON_INLINE int __Pyx_c_is_zero_double(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj_double(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real =  a.real;
        z.imag = -a.imag;
        return z;
    }
    #if 1
        static CYTHON_INLINE double __Pyx_c_abs_double(__pyx_t_double_complex z) {
          #if !defined(HAVE_HYPOT) || defined(_MSC_VER)
            return sqrt(z.real*z.real + z.imag*z.imag);
          #else
            return hypot(z.real, z.imag);
          #endif
        }
        static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_pow_double(__pyx_t_double_complex a, __pyx_t_double_complex b) {
            __pyx_t_double_complex z;
            double r, lnr, theta, z_r, z_theta;
            if (b.imag == 0 && b.real == (int)b.real) {
                if (b.real < 0) {
                    double denom = a.real * a.real + a.imag * a.imag;
                    a.real = a.real / denom;
                    a.imag = -a.imag / denom;
                    b.real = -b.real;
                }
                switch ((int)b.real) {
                    case 0:
                        z.real = 1;
                        z.imag = 0;
                        return z;
                    case 1:
                        return a;
                    case 2:
                        return __Pyx_c_prod_double(a, a);
                    case 3:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, a);
                    case 4:
                        z = __Pyx_c_prod_double(a, a);
                        return __Pyx_c_prod_double(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                } else if (b.imag == 0) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0.0, -1.0);
                }
            } else {
                r = __Pyx_c_abs_double(a);
                theta = atan2(a.imag, a.real);
            }
            lnr = log(r);
            z_r = exp(lnr * b.real - theta * b.imag);
            z_theta = theta * b.real + lnr * b.imag;
            z.real = z_r * cos(z_theta);
            z.imag = z_r * sin(z_theta);
            return z;
        }
    #endif
#endif

/* MemviewSliceCopyTemplate */
        static __Pyx_memviewslice
__pyx_memoryview_copy_new_contig(const __Pyx_memviewslice *from_mvs,
                                 const char *mode, int ndim,
                                 size_t sizeof_dtype, int contig_flag,
                                 int dtype_is_object)
{
    __Pyx_RefNannyDeclarations
    int i;
    __Pyx_memviewslice new_mvs = { 0, 0, { 0 }, { 0 }, { 0 } };
    struct __pyx_memoryview_obj *from_memview = from_mvs->memview;
    Py_buffer *buf = &from_memview->view;
    PyObject *shape_tuple = NULL;
    PyObject *temp_int = NULL;
    struct __pyx_array_obj *array_obj = NULL;
    struct __pyx_memoryview_obj *memview_obj = NULL;
    __Pyx_RefNannySetupContext("__pyx_memoryview_copy_new_contig", 0);
    for (i = 0; i < ndim; i++) {
        if (unlikely(from_mvs->suboffsets[i] >= 0)) {
            PyErr_Format(PyExc_ValueError, "Cannot copy memoryview slice with "
                                           "indirect dimensions (axis %d)", i);
            goto fail;
        }
    }
    shape_tuple = PyTuple_New(ndim);
    if (unlikely(!shape_tuple)) {
        goto fail;
    }
    __Pyx_GOTREF(shape_tuple);
    for(i = 0; i < ndim; i++) {
        temp_int = PyInt_FromSsize_t(from_mvs->shape[i]);
        if(unlikely(!temp_int)) {
            goto fail;
        } else {
            PyTuple_SET_ITEM(shape_tuple, i, temp_int);
            temp_int = NULL;
        }
    }
    array_obj = __pyx_array_new(shape_tuple, sizeof_dtype, buf->format, (char *) mode, NULL);
    if (unlikely(!array_obj)) {
        goto fail;
    }
    __Pyx_GOTREF(array_obj);
    memview_obj = (struct __pyx_memoryview_obj *) __pyx_memoryview_new(
                                    (PyObject *) array_obj, contig_flag,
                                    dtype_is_object,
                                    from_mvs->memview->typeinfo);
    if (unlikely(!memview_obj))
        goto fail;
    if (unlikely(__Pyx_init_memviewslice(memview_obj, ndim, &new_mvs, 1) < 0))
        goto fail;
    if (unlikely(__pyx_memoryview_copy_contents(*from_mvs, new_mvs, ndim, ndim,
                                                dtype_is_object) < 0))
        goto fail;
    goto no_fail;
fail:
    __Pyx_XDECREF(new_mvs.memview);
    new_mvs.memview = NULL;
    new_mvs.data = NULL;
no_fail:
    __Pyx_XDECREF(shape_tuple);
    __Pyx_XDECREF(temp_int);
    __Pyx_XDECREF(array_obj);
    __Pyx_RefNannyFinishContext();
    return new_mvs;
}

/* CIntFromPy */
        static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(int) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int, digit, digits[0])
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 2 * PyLong_SHIFT) {
                            return (int) (((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 3 * PyLong_SHIFT) {
                            return (int) (((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) >= 4 * PyLong_SHIFT) {
                            return (int) (((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(int,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(int) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                            return (int) ((((((int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(int) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                            return (int) ((((((((int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(int) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) (((int)-1)*(((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int) - 1 > 4 * PyLong_SHIFT) {
                            return (int) ((((((((((int)digits[3]) << PyLong_SHIFT) | (int)digits[2]) << PyLong_SHIFT) | (int)digits[1]) << PyLong_SHIFT) | (int)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int) -1;
        }
    } else {
        int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int) -1;
        val = __Pyx_PyInt_As_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int");
    return (int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int");
    return (int) -1;
}

/* CIntFromPy */
        static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(long) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(long, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (long) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case  1: __PYX_VERIFY_RETURN_INT(long, digit, digits[0])
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 2 * PyLong_SHIFT) {
                            return (long) (((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 3 * PyLong_SHIFT) {
                            return (long) (((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) >= 4 * PyLong_SHIFT) {
                            return (long) (((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (long) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(long) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (long) 0;
                case -1: __PYX_VERIFY_RETURN_INT(long, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(long,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(long) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(long) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                            return (long) ((((((long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(long) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                            return (long) ((((((((long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) (((long)-1)*(((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(long) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(long, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                            return (long) ((((((((((long)digits[3]) << PyLong_SHIFT) | (long)digits[2]) << PyLong_SHIFT) | (long)digits[1]) << PyLong_SHIFT) | (long)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(long) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(long, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            long val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (long) -1;
        }
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (long) -1;
        val = __Pyx_PyInt_As_long(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to long");
    return (long) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to long");
    return (long) -1;
}

/* CIntFromPy */
        static CYTHON_INLINE int64_t __Pyx_PyInt_As_int64_t(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int64_t neg_one = (int64_t) -1, const_zero = (int64_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(int64_t) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(int64_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (int64_t) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int64_t) 0;
                case  1: __PYX_VERIFY_RETURN_INT(int64_t, digit, digits[0])
                case 2:
                    if (8 * sizeof(int64_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) >= 2 * PyLong_SHIFT) {
                            return (int64_t) (((((int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int64_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) >= 3 * PyLong_SHIFT) {
                            return (int64_t) (((((((int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int64_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) >= 4 * PyLong_SHIFT) {
                            return (int64_t) (((((((((int64_t)digits[3]) << PyLong_SHIFT) | (int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (int64_t) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(int64_t) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int64_t, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int64_t) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int64_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (int64_t) 0;
                case -1: __PYX_VERIFY_RETURN_INT(int64_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(int64_t,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(int64_t) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) - 1 > 2 * PyLong_SHIFT) {
                            return (int64_t) (((int64_t)-1)*(((((int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(int64_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) - 1 > 2 * PyLong_SHIFT) {
                            return (int64_t) ((((((int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(int64_t) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) - 1 > 3 * PyLong_SHIFT) {
                            return (int64_t) (((int64_t)-1)*(((((((int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(int64_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) - 1 > 3 * PyLong_SHIFT) {
                            return (int64_t) ((((((((int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(int64_t) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) - 1 > 4 * PyLong_SHIFT) {
                            return (int64_t) (((int64_t)-1)*(((((((((int64_t)digits[3]) << PyLong_SHIFT) | (int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(int64_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(int64_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(int64_t) - 1 > 4 * PyLong_SHIFT) {
                            return (int64_t) ((((((((((int64_t)digits[3]) << PyLong_SHIFT) | (int64_t)digits[2]) << PyLong_SHIFT) | (int64_t)digits[1]) << PyLong_SHIFT) | (int64_t)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(int64_t) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(int64_t, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(int64_t) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(int64_t, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            int64_t val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (int64_t) -1;
        }
    } else {
        int64_t val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (int64_t) -1;
        val = __Pyx_PyInt_As_int64_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to int64_t");
    return (int64_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to int64_t");
    return (int64_t) -1;
}

/* CIntToPy */
        static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__RadiationBc(enum RadiationBc value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const enum RadiationBc neg_one = (enum RadiationBc) -1, const_zero = (enum RadiationBc) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(enum RadiationBc) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum RadiationBc) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum RadiationBc) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(enum RadiationBc) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum RadiationBc) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum RadiationBc),
                                     little, !is_unsigned);
    }
}

/* CIntToPy */
        static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int neg_one = (int) -1, const_zero = (int) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

/* CIntToPy */
        static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const long neg_one = (long) -1, const_zero = (long) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(long) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

/* CIntFromPy */
        static CYTHON_INLINE enum RadiationBc __Pyx_PyInt_As_enum__RadiationBc(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const enum RadiationBc neg_one = (enum RadiationBc) -1, const_zero = (enum RadiationBc) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(enum RadiationBc) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(enum RadiationBc, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (enum RadiationBc) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (enum RadiationBc) 0;
                case  1: __PYX_VERIFY_RETURN_INT(enum RadiationBc, digit, digits[0])
                case 2:
                    if (8 * sizeof(enum RadiationBc) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum RadiationBc, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum RadiationBc) >= 2 * PyLong_SHIFT) {
                            return (enum RadiationBc) (((((enum RadiationBc)digits[1]) << PyLong_SHIFT) | (enum RadiationBc)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(enum RadiationBc) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum RadiationBc, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum RadiationBc) >= 3 * PyLong_SHIFT) {
                            return (enum RadiationBc) (((((((enum RadiationBc)digits[2]) << PyLong_SHIFT) | (enum RadiationBc)digits[1]) << PyLong_SHIFT) | (enum RadiationBc)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(enum RadiationBc) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum RadiationBc, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum RadiationBc) >= 4 * PyLong_SHIFT) {
                            return (enum RadiationBc) (((((((((enum RadiationBc)digits[3]) << PyLong_SHIFT) | (enum RadiationBc)digits[2]) << PyLong_SHIFT) | (enum RadiationBc)digits[1]) << PyLong_SHIFT) | (enum RadiationBc)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (enum RadiationBc) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(enum RadiationBc) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(enum RadiationBc, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(enum RadiationBc) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(enum RadiationBc, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (enum RadiationBc) 0;
                case -1: __PYX_VERIFY_RETURN_INT(enum RadiationBc, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(enum RadiationBc,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(enum RadiationBc) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum RadiationBc, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum RadiationBc) - 1 > 2 * PyLong_SHIFT) {
                            return (enum RadiationBc) (((enum RadiationBc)-1)*(((((enum RadiationBc)digits[1]) << PyLong_SHIFT) | (enum RadiationBc)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(enum RadiationBc) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum RadiationBc, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum RadiationBc) - 1 > 2 * PyLong_SHIFT) {
                            return (enum RadiationBc) ((((((enum RadiationBc)digits[1]) << PyLong_SHIFT) | (enum RadiationBc)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(enum RadiationBc) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum RadiationBc, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum RadiationBc) - 1 > 3 * PyLong_SHIFT) {
                            return (enum RadiationBc) (((enum RadiationBc)-1)*(((((((enum RadiationBc)digits[2]) << PyLong_SHIFT) | (enum RadiationBc)digits[1]) << PyLong_SHIFT) | (enum RadiationBc)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(enum RadiationBc) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum RadiationBc, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum RadiationBc) - 1 > 3 * PyLong_SHIFT) {
                            return (enum RadiationBc) ((((((((enum RadiationBc)digits[2]) << PyLong_SHIFT) | (enum RadiationBc)digits[1]) << PyLong_SHIFT) | (enum RadiationBc)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(enum RadiationBc) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum RadiationBc, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum RadiationBc) - 1 > 4 * PyLong_SHIFT) {
                            return (enum RadiationBc) (((enum RadiationBc)-1)*(((((((((enum RadiationBc)digits[3]) << PyLong_SHIFT) | (enum RadiationBc)digits[2]) << PyLong_SHIFT) | (enum RadiationBc)digits[1]) << PyLong_SHIFT) | (enum RadiationBc)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(enum RadiationBc) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(enum RadiationBc, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(enum RadiationBc) - 1 > 4 * PyLong_SHIFT) {
                            return (enum RadiationBc) ((((((((((enum RadiationBc)digits[3]) << PyLong_SHIFT) | (enum RadiationBc)digits[2]) << PyLong_SHIFT) | (enum RadiationBc)digits[1]) << PyLong_SHIFT) | (enum RadiationBc)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(enum RadiationBc) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(enum RadiationBc, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(enum RadiationBc) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(enum RadiationBc, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            enum RadiationBc val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (enum RadiationBc) -1;
        }
    } else {
        enum RadiationBc val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (enum RadiationBc) -1;
        val = __Pyx_PyInt_As_enum__RadiationBc(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to enum RadiationBc");
    return (enum RadiationBc) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to enum RadiationBc");
    return (enum RadiationBc) -1;
}

/* CIntToPy */
        static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int8(npy_int8 value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const npy_int8 neg_one = (npy_int8) -1, const_zero = (npy_int8) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_int8) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int8) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int8) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_int8) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int8) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int8),
                                     little, !is_unsigned);
    }
}

/* CIntFromPy */
        static CYTHON_INLINE npy_int8 __Pyx_PyInt_As_npy_int8(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const npy_int8 neg_one = (npy_int8) -1, const_zero = (npy_int8) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_int8) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_int8, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_int8) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int8) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_int8, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_int8) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) >= 2 * PyLong_SHIFT) {
                            return (npy_int8) (((((npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int8) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) >= 3 * PyLong_SHIFT) {
                            return (npy_int8) (((((((npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int8) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) >= 4 * PyLong_SHIFT) {
                            return (npy_int8) (((((((((npy_int8)digits[3]) << PyLong_SHIFT) | (npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (npy_int8) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_int8) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int8, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int8) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int8, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int8) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_int8, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(npy_int8,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_int8) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int8) (((npy_int8)-1)*(((((npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_int8) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int8) ((((((npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_int8) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int8) (((npy_int8)-1)*(((((((npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int8) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int8) ((((((((npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_int8) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int8) (((npy_int8)-1)*(((((((((npy_int8)digits[3]) << PyLong_SHIFT) | (npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int8) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int8, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(npy_int8) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int8) ((((((((((npy_int8)digits[3]) << PyLong_SHIFT) | (npy_int8)digits[2]) << PyLong_SHIFT) | (npy_int8)digits[1]) << PyLong_SHIFT) | (npy_int8)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_int8) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int8, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(npy_int8) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int8, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_int8 val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (npy_int8) -1;
        }
    } else {
        npy_int8 val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (npy_int8) -1;
        val = __Pyx_PyInt_As_npy_int8(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_int8");
    return (npy_int8) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_int8");
    return (npy_int8) -1;
}

/* CIntToPy */
        static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const Py_intptr_t neg_one = (Py_intptr_t) -1, const_zero = (Py_intptr_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(Py_intptr_t) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(Py_intptr_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(Py_intptr_t) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(Py_intptr_t),
                                     little, !is_unsigned);
    }
}

/* CIntToPy */
        static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int64_t(int64_t value) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const int64_t neg_one = (int64_t) -1, const_zero = (int64_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int64_t) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int64_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int64_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int64_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int64_t) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int64_t),
                                     little, !is_unsigned);
    }
}

/* CIntFromPy */
        static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const size_t neg_one = (size_t) -1, const_zero = (size_t) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(size_t) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(size_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (size_t) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (size_t) 0;
                case  1: __PYX_VERIFY_RETURN_INT(size_t, digit, digits[0])
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 2 * PyLong_SHIFT) {
                            return (size_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 3 * PyLong_SHIFT) {
                            return (size_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) >= 4 * PyLong_SHIFT) {
                            return (size_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (size_t) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(size_t) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(size_t) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (size_t) 0;
                case -1: __PYX_VERIFY_RETURN_INT(size_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(size_t,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(size_t) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(size_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                            return (size_t) ((((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(size_t) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(size_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                            return (size_t) ((((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(size_t) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_t) (((size_t)-1)*(((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(size_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(size_t, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(size_t) - 1 > 4 * PyLong_SHIFT) {
                            return (size_t) ((((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(size_t) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(size_t) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(size_t, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            size_t val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (size_t) -1;
        }
    } else {
        size_t val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (size_t) -1;
        val = __Pyx_PyInt_As_size_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to size_t");
    return (size_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to size_t");
    return (size_t) -1;
}

/* CIntFromPy */
        static CYTHON_INLINE char __Pyx_PyInt_As_char(PyObject *x) {
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic push
#pragma GCC diagnostic ignored "-Wconversion"
#endif
    const char neg_one = (char) -1, const_zero = (char) 0;
#ifdef __Pyx_HAS_GCC_DIAGNOSTIC
#pragma GCC diagnostic pop
#endif
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(char) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(char, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (char) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (char) 0;
                case  1: __PYX_VERIFY_RETURN_INT(char, digit, digits[0])
                case 2:
                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 2 * PyLong_SHIFT) {
                            return (char) (((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 3 * PyLong_SHIFT) {
                            return (char) (((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) >= 4 * PyLong_SHIFT) {
                            return (char) (((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (char) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(char) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(char) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
#endif
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (char) 0;
                case -1: __PYX_VERIFY_RETURN_INT(char, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(char,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(char) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(char) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                            return (char) ((((((char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(char) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(char) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                            return (char) ((((((((char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(char) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
                            return (char) (((char)-1)*(((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(char) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(char, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(char) - 1 > 4 * PyLong_SHIFT) {
                            return (char) ((((((((((char)digits[3]) << PyLong_SHIFT) | (char)digits[2]) << PyLong_SHIFT) | (char)digits[1]) << PyLong_SHIFT) | (char)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(char) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(char) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(char, PY_LONG_LONG, PyLong_AsLongLong(x))
#endif
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            char val;
            PyObject *v = __Pyx_PyNumber_IntOrLong(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (char) -1;
        }
    } else {
        char val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (char) -1;
        val = __Pyx_PyInt_As_char(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to char");
    return (char) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to char");
    return (char) -1;
}

/* CheckBinaryVersion */
        static int __Pyx_check_binary_version(void) {
    char ctversion[4], rtversion[4];
    PyOS_snprintf(ctversion, 4, "%d.%d", PY_MAJOR_VERSION, PY_MINOR_VERSION);
    PyOS_snprintf(rtversion, 4, "%s", Py_GetVersion());
    if (ctversion[0] != rtversion[0] || ctversion[2] != rtversion[2]) {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compiletime version %s of module '%.100s' "
                      "does not match runtime version %s",
                      ctversion, __Pyx_MODULE_NAME, rtversion);
        return PyErr_WarnEx(NULL, message, 1);
    }
    return 0;
}

/* InitStrings */
        static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        ++t;
    }
    return 0;
}

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
#if !CYTHON_PEP393_ENABLED
static const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    char* defenc_c;
    PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
    if (!defenc) return NULL;
    defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    {
        char* end = defenc_c + PyBytes_GET_SIZE(defenc);
        char* c;
        for (c = defenc_c; c < end; c++) {
            if ((unsigned char) (*c) >= 128) {
                PyUnicode_AsASCIIString(o);
                return NULL;
            }
        }
    }
#endif
    *length = PyBytes_GET_SIZE(defenc);
    return defenc_c;
}
#else
static CYTHON_INLINE const char* __Pyx_PyUnicode_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
    if (unlikely(__Pyx_PyUnicode_READY(o) == -1)) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
    if (likely(PyUnicode_IS_ASCII(o))) {
        *length = PyUnicode_GET_LENGTH(o);
        return PyUnicode_AsUTF8(o);
    } else {
        PyUnicode_AsASCIIString(o);
        return NULL;
    }
#else
    return PyUnicode_AsUTF8AndSize(o, length);
#endif
}
#endif
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
        return __Pyx_PyUnicode_AsStringAndSize(o, length);
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrueAndDecref(PyObject* x) {
    int retval;
    if (unlikely(!x)) return -1;
    retval = __Pyx_PyObject_IsTrue(x);
    Py_DECREF(x);
    return retval;
}
static PyObject* __Pyx_PyNumber_IntOrLongWrongResultType(PyObject* result, const char* type_name) {
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type %.200s).  "
                "The ability to return an instance of a strict subclass of int "
                "is deprecated, and may be removed in a future version of Python.",
                Py_TYPE(result)->tp_name)) {
            Py_DECREF(result);
            return NULL;
        }
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type %.200s)",
                 type_name, type_name, Py_TYPE(result)->tp_name);
    Py_DECREF(result);
    return NULL;
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_Check(x) || PyLong_Check(x)))
#else
  if (likely(PyLong_Check(x)))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = m->nb_int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = m->nb_long(x);
  }
  #else
  if (likely(m && m->nb_int)) {
    name = "int";
    res = m->nb_int(x);
  }
  #endif
#else
  if (!PyBytes_CheckExact(x) && !PyUnicode_CheckExact(x)) {
    res = PyNumber_Int(x);
  }
#endif
  if (likely(res)) {
#if PY_MAJOR_VERSION < 3
    if (unlikely(!PyInt_Check(res) && !PyLong_Check(res))) {
#else
    if (unlikely(!PyLong_CheckExact(res))) {
#endif
        return __Pyx_PyNumber_IntOrLongWrongResultType(res, name);
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(b);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE Py_hash_t __Pyx_PyIndex_AsHash_t(PyObject* o) {
  if (sizeof(Py_hash_t) == sizeof(Py_ssize_t)) {
    return (Py_hash_t) __Pyx_PyIndex_AsSsize_t(o);
#if PY_MAJOR_VERSION < 3
  } else if (likely(PyInt_CheckExact(o))) {
    return PyInt_AS_LONG(o);
#endif
  } else {
    Py_ssize_t ival;
    PyObject *x;
    x = PyNumber_Index(o);
    if (!x) return -1;
    ival = PyInt_AsLong(x);
    Py_DECREF(x);
    return ival;
  }
}
static CYTHON_INLINE PyObject * __Pyx_PyBool_FromLong(long b) {
  return b ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False);
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
