/* Generated by Cython 3.0.4 */

/* BEGIN: Cython Metadata
{
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            "/tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/core/include/numpy/arrayobject.h",
            "/tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/core/include/numpy/arrayscalars.h",
            "/tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/core/include/numpy/ndarrayobject.h",
            "/tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/core/include/numpy/ndarraytypes.h",
            "/tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/core/include/numpy/ufuncobject.h"
        ],
        "include_dirs": [
            "/tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/core/include"
        ],
        "name": "treams.special._ufuncs",
        "sources": [
            "src/treams/special/_ufuncs.pyx"
        ]
    },
    "module_name": "treams.special._ufuncs"
}
END: Cython Metadata */

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#ifdef __cplusplus
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  #define __PYX_IS_UNSIGNED(type) (((type)-1) > 0)
#endif
#if CYTHON_COMPILING_IN_PYPY == 1
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x030A0000)
#else
  #define __PYX_NEED_TP_PRINT_SLOT  (PY_VERSION_HEX >= 0x030800b4 && PY_VERSION_HEX < 0x03090000)
#endif
#define __PYX_REINTERPRET_FUNCION(func_pointer, other_pointer) ((func_pointer)(void(*)(void))(other_pointer))

#ifndef CYTHON_INLINE
  #if defined(__clang__)
    #define CYTHON_INLINE __inline__ __attribute__ ((__unused__))
  #elif defined(__GNUC__)
    #define CYTHON_INLINE __inline__
  #elif defined(_MSC_VER)
    #define CYTHON_INLINE __inline
  #elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define CYTHON_INLINE inline
  #else
    #define CYTHON_INLINE
  #endif
#endif

#define __PYX_BUILD_PY_SSIZE_T "n"
#define CYTHON_FORMAT_SSIZE_T "z"
#if PY_MAJOR_VERSION < 3
  #define __Pyx_BUILTIN_MODULE_NAME "__builtin__"
  #define __Pyx_DefaultClassType PyClass_Type
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a+k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx_BUILTIN_MODULE_NAME "builtins"
  #define __Pyx_DefaultClassType PyType_Type
#if CYTHON_COMPILING_IN_LIMITED_API
    static CYTHON_INLINE PyObject* __Pyx_PyCode_New(int a, int p, int k, int l, int s, int f,
                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                    PyObject *fv, PyObject *cell, PyObject* fn,
                                                    PyObject *name, int fline, PyObject *lnos) {
        PyObject *exception_table = NULL;
        PyObject *types_module=NULL, *code_type=NULL, *result=NULL;
        #if __PYX_LIMITED_VERSION_HEX < 0x030B0000
        PyObject *version_info; // borrowed
        #endif
        PyObject *py_minor_version = NULL;
        long minor_version = 0;
        PyObject *type, *value, *traceback;
        PyErr_Fetch(&type, &value, &traceback);
        #if __PYX_LIMITED_VERSION_HEX >= 0x030B0000
        minor_version = 11; // we don't yet need to distinguish between versions > 11
        #else
        if (!(version_info = PySys_GetObject("version_info"))) goto end;
        if (!(py_minor_version = PySequence_GetItem(version_info, 1))) goto end;
        minor_version = PyLong_AsLong(py_minor_version);
        if (minor_version == -1 && PyErr_Occurred()) goto end;
        #endif
        if (!(types_module = PyImport_ImportModule("types"))) goto end;
        if (!(code_type = PyObject_GetAttrString(types_module, "CodeType"))) goto end;
        if (minor_version <= 7) {
            (void)p;
            result = PyObject_CallFunction(code_type, "iiiiiOOOOOOiOO", a, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else if (minor_version <= 10) {
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOiOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, fline, lnos, fv, cell);
        } else {
            if (!(exception_table = PyBytes_FromStringAndSize(NULL, 0))) goto end;
            result = PyObject_CallFunction(code_type, "iiiiiiOOOOOOOiOO", a,p, k, l, s, f, code,
                          c, n, v, fn, name, name, fline, lnos, exception_table, fv, cell);
        }
    end:
        Py_XDECREF(code_type);
        Py_XDECREF(exception_table);
        Py_XDECREF(types_module);
        Py_XDECREF(py_minor_version);
        if (type) {
            PyErr_Restore(type, value, traceback);
        }
        return result;
    }
    #ifndef CO_OPTIMIZED
    #define CO_OPTIMIZED 0x0001
    #endif
    #ifndef CO_NEWLOCALS
    #define CO_NEWLOCALS 0x0002
    #endif
    #ifndef CO_VARARGS
    #define CO_VARARGS 0x0004
    #endif
    #ifndef CO_VARKEYWORDS
    #define CO_VARKEYWORDS 0x0008
    #endif
    #ifndef CO_ASYNC_GENERATOR
    #define CO_ASYNC_GENERATOR 0x0200
    #endif
    #ifndef CO_GENERATOR
    #define CO_GENERATOR 0x0020
    #endif
    #ifndef CO_COROUTINE
    #define CO_COROUTINE 0x0080
    #endif
#elif PY_VERSION_HEX >= 0x030B0000
  static CYTHON_INLINE PyCodeObject* __Pyx_PyCode_New(int a, int p, int k, int l, int s, int f,
                                                    PyObject *code, PyObject *c, PyObject* n, PyObject *v,
                                                    PyObject *fv, PyObject *cell, PyObject* fn,
                                                    PyObject *name, int fline, PyObject *lnos) {
    PyCodeObject *result;
    PyObject *empty_bytes = PyBytes_FromStringAndSize("", 0);  // we don't have access to __pyx_empty_bytes here
    if (!empty_bytes) return NULL;
    result =
      #if PY_VERSION_HEX >= 0x030C0000
        PyUnstable_Code_NewWithPosOnlyArgs
      #else
        PyCode_NewWithPosOnlyArgs
      #endif
        (a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, name, fline, lnos, empty_bytes);
    Py_DECREF(empty_bytes);
    return result;
  }
#elif PY_VERSION_HEX >= 0x030800B2 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_NewWithPosOnlyArgs(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#else
  #define __Pyx_PyCode_New(a, p, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)\
          PyCode_New(a, k, l, s, f, code, c, n, v, fv, cell, fn, name, fline, lnos)
#endif
#endif
#if PY_VERSION_HEX >= 0x030900A4 || defined(Py_IS_TYPE)
  #define __Pyx_IS_TYPE(ob, type) Py_IS_TYPE(ob, type)
#else
  #define __Pyx_IS_TYPE(ob, type) (((const PyObject*)ob)->ob_type == (type))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_Is)
  #define __Pyx_Py_Is(x, y)  Py_Is(x, y)
#else
  #define __Pyx_Py_Is(x, y) ((x) == (y))
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsNone)
  #define __Pyx_Py_IsNone(ob) Py_IsNone(ob)
#else
  #define __Pyx_Py_IsNone(ob) __Pyx_Py_Is((ob), Py_None)
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsTrue)
  #define __Pyx_Py_IsTrue(ob) Py_IsTrue(ob)
#else
  #define __Pyx_Py_IsTrue(ob) __Pyx_Py_Is((ob), Py_True)
#endif
#if PY_VERSION_HEX >= 0x030A00B1 || defined(Py_IsFalse)
  #define __Pyx_Py_IsFalse(ob) Py_IsFalse(ob)
#else
  #define __Pyx_Py_IsFalse(ob) __Pyx_Py_Is((ob), Py_False)
#endif
#define __Pyx_NoneAsNull(obj)  (__Pyx_Py_IsNone(obj) ? NULL : (obj))
#if PY_VERSION_HEX >= 0x030900F0 && !CYTHON_COMPILING_IN_PYPY
  #define __Pyx_PyObject_GC_IsFinalized(o) PyObject_GC_IsFinalized(o)
#else
  #define __Pyx_PyObject_GC_IsFinalized(o) _PyGC_FINALIZED(o)
#endif
#ifndef CO_COROUTINE
  #define CO_COROUTINE 0x80
#endif
#ifndef CO_ASYNC_GENERATOR
  #define CO_ASYNC_GENERATOR 0x200
#endif
#ifndef Py_TPFLAGS_CHECKTYPES
  #define Py_TPFLAGS_CHECKTYPES 0
#endif
#ifndef Py_TPFLAGS_HAVE_INDEX
  #define Py_TPFLAGS_HAVE_INDEX 0
#endif
#ifndef Py_TPFLAGS_HAVE_NEWBUFFER
  #define Py_TPFLAGS_HAVE_NEWBUFFER 0
#endif
#ifndef Py_TPFLAGS_HAVE_FINALIZE
  #define Py_TPFLAGS_HAVE_FINALIZE 0
#endif
#ifndef Py_TPFLAGS_SEQUENCE
  #define Py_TPFLAGS_SEQUENCE 0
#endif
#ifndef Py_TPFLAGS_MAPPING
  #define Py_TPFLAGS_MAPPING 0
#endif
#ifndef METH_STACKLESS
  #define METH_STACKLESS 0
#endif
#if PY_VERSION_HEX <= 0x030700A3 || !defined(METH_FASTCALL)
  #ifndef METH_FASTCALL
     #define METH_FASTCALL 0x80
  #endif
  typedef PyObject *(*__Pyx_PyCFunctionFast) (PyObject *self, PyObject *const *args, Py_ssize_t nargs);
  typedef PyObject *(*__Pyx_PyCFunctionFastWithKeywords) (PyObject *self, PyObject *const *args,
                                                          Py_ssize_t nargs, PyObject *kwnames);
#else
  #define __Pyx_PyCFunctionFast _PyCFunctionFast
  #define __Pyx_PyCFunctionFastWithKeywords _PyCFunctionFastWithKeywords
#endif
#if CYTHON_METH_FASTCALL
  #define __Pyx_METH_FASTCALL METH_FASTCALL
  #define __Pyx_PyCFunction_FastCall __Pyx_PyCFunctionFast
  #define __Pyx_PyCFunction_FastCallWithKeywords __Pyx_PyCFunctionFastWithKeywords
#else
  #define __Pyx_METH_FASTCALL METH_VARARGS
  #define __Pyx_PyCFunction_FastCall PyCFunction
  #define __Pyx_PyCFunction_FastCallWithKeywords PyCFunctionWithKeywords
#endif
#if CYTHON_VECTORCALL
  #define __pyx_vectorcallfunc vectorcallfunc
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  PY_VECTORCALL_ARGUMENTS_OFFSET
  #define __Pyx_PyVectorcall_NARGS(n)  PyVectorcall_NARGS((size_t)(n))
#elif CYTHON_BACKPORT_VECTORCALL
  typedef PyObject *(*__pyx_vectorcallfunc)(PyObject *callable, PyObject *const *args,
                                            size_t nargsf, PyObject *kwnames);
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  ((size_t)1 << (8 * sizeof(size_t) - 1))
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(((size_t)(n)) & ~__Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET))
#else
  #define __Pyx_PY_VECTORCALL_ARGUMENTS_OFFSET  0
  #define __Pyx_PyVectorcall_NARGS(n)  ((Py_ssize_t)(n))
#endif
#if PY_MAJOR_VERSION >= 0x030900B1
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_CheckExact(func)
#else
#define __Pyx_PyCFunction_CheckExact(func)  PyCFunction_Check(func)
#endif
#define __Pyx_CyOrPyCFunction_Check(func)  PyCFunction_Check(func)
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  (((PyCFunctionObject*)(func))->m_ml->ml_meth)
#elif !CYTHON_COMPILING_IN_LIMITED_API
#define __Pyx_CyOrPyCFunction_GET_FUNCTION(func)  PyCFunction_GET_FUNCTION(func)
#endif
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_CyOrPyCFunction_GET_FLAGS(func)  (((PyCFunctionObject*)(func))->m_ml->ml_flags)
static CYTHON_INLINE PyObject* __Pyx_CyOrPyCFunction_GET_SELF(PyObject *func) {
    return (__Pyx_CyOrPyCFunction_GET_FLAGS(func) & METH_STATIC) ? NULL : ((PyCFunctionObject*)func)->m_self;
}
#endif
static CYTHON_INLINE int __Pyx__IsSameCFunction(PyObject *func, void *cfunc) {
#if CYTHON_COMPILING_IN_LIMITED_API
    return PyCFunction_Check(func) && PyCFunction_GetFunction(func) == (PyCFunction) cfunc;
#else
    return PyCFunction_Check(func) && PyCFunction_GET_FUNCTION(func) == (PyCFunction) cfunc;
#endif
}
#define __Pyx_IsSameCFunction(func, cfunc)   __Pyx__IsSameCFunction(func, cfunc)
#if __PYX_LIMITED_VERSION_HEX < 0x030900B1
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  ((void)m, PyType_FromSpecWithBases(s, b))
  typedef PyObject *(*__Pyx_PyCMethod)(PyObject *, PyTypeObject *, PyObject *const *, size_t, PyObject *);
#else
  #define __Pyx_PyType_FromModuleAndSpec(m, s, b)  PyType_FromModuleAndSpec(m, s, b)
  #define __Pyx_PyCMethod  PyCMethod
#endif
#ifndef METH_METHOD
  #define METH_METHOD 0x200
#endif
#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_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_COMPILING_IN_LIMITED_API
  #define __Pyx_PyThreadState_Current PyThreadState_Get()
#elif !CYTHON_FAST_THREAD_STATE
  #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 CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE void *__Pyx_PyModule_GetState(PyObject *op)
{
    void *result;
    result = PyModule_GetState(op);
    if (!result)
        Py_FatalError("Couldn't find the module state");
    return result;
}
#endif
#define __Pyx_PyObject_GetSlot(obj, name, func_ctype)  __Pyx_PyType_GetSlot(Py_TYPE(obj), name, func_ctype)
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((func_ctype) PyType_GetSlot((type), Py_##name))
#else
  #define __Pyx_PyType_GetSlot(type, name, func_ctype)  ((type)->name)
#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 PY_MAJOR_VERSION < 3
    #if CYTHON_COMPILING_IN_PYPY
        #if PYPY_VERSION_NUM < 0x07030600
            #if defined(__cplusplus) && __cplusplus >= 201402L
                [[deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")]]
            #elif defined(__GNUC__) || defined(__clang__)
                __attribute__ ((__deprecated__("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6")))
            #elif defined(_MSC_VER)
                __declspec(deprecated("`with nogil:` inside a nogil function will not release the GIL in PyPy2 < 7.3.6"))
            #endif
            static CYTHON_INLINE int PyGILState_Check(void) {
                return 0;
            }
        #else  // PYPY_VERSION_NUM < 0x07030600
        #endif  // PYPY_VERSION_NUM < 0x07030600
    #else
        static CYTHON_INLINE int PyGILState_Check(void) {
            PyThreadState * tstate = _PyThreadState_Current;
            return tstate && (tstate == PyGILState_GetThisThreadState());
        }
    #endif
#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 > 0x030600B4 && CYTHON_USE_UNICODE_INTERNALS
#define __Pyx_PyDict_GetItemStrWithError(dict, name)  _PyDict_GetItem_KnownHash(dict, name, ((PyASCIIObject *) name)->hash)
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStr(PyObject *dict, PyObject *name) {
    PyObject *res = __Pyx_PyDict_GetItemStrWithError(dict, name);
    if (res == NULL) PyErr_Clear();
    return res;
}
#elif PY_MAJOR_VERSION >= 3 && (!CYTHON_COMPILING_IN_PYPY || PYPY_VERSION_NUM >= 0x07020000)
#define __Pyx_PyDict_GetItemStrWithError  PyDict_GetItemWithError
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#else
static CYTHON_INLINE PyObject * __Pyx_PyDict_GetItemStrWithError(PyObject *dict, PyObject *name) {
#if CYTHON_COMPILING_IN_PYPY
    return PyDict_GetItem(dict, name);
#else
    PyDictEntry *ep;
    PyDictObject *mp = (PyDictObject*) dict;
    long hash = ((PyStringObject *) name)->ob_shash;
    assert(hash != -1);
    ep = (mp->ma_lookup)(mp, name, hash);
    if (ep == NULL) {
        return NULL;
    }
    return ep->me_value;
#endif
}
#define __Pyx_PyDict_GetItemStr           PyDict_GetItem
#endif
#if CYTHON_USE_TYPE_SLOTS
  #define __Pyx_PyType_GetFlags(tp)   (((PyTypeObject *)tp)->tp_flags)
  #define __Pyx_PyType_HasFeature(type, feature)  ((__Pyx_PyType_GetFlags(type) & (feature)) != 0)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  (Py_TYPE(obj)->tp_iternext)
#else
  #define __Pyx_PyType_GetFlags(tp)   (PyType_GetFlags((PyTypeObject *)tp))
  #define __Pyx_PyType_HasFeature(type, feature)  PyType_HasFeature(type, feature)
  #define __Pyx_PyObject_GetIterNextFunc(obj)  PyIter_Next
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define __Pyx_SetItemOnTypeDict(tp, k, v) PyObject_GenericSetAttr((PyObject*)tp, k, v)
#else
  #define __Pyx_SetItemOnTypeDict(tp, k, v) PyDict_SetItem(tp->tp_dict, k, v)
#endif
#if CYTHON_USE_TYPE_SPECS && PY_VERSION_HEX >= 0x03080000
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  {\
    PyTypeObject *type = Py_TYPE(obj);\
    assert(__Pyx_PyType_HasFeature(type, Py_TPFLAGS_HEAPTYPE));\
    PyObject_GC_Del(obj);\
    Py_DECREF(type);\
}
#else
#define __Pyx_PyHeapTypeObject_GC_Del(obj)  PyObject_GC_Del(obj)
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
  #define CYTHON_PEP393_ENABLED 1
  #define __Pyx_PyUnicode_READY(op)       (0)
  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GetLength(u)
  #define __Pyx_PyUnicode_READ_CHAR(u, i) PyUnicode_ReadChar(u, i)
  #define __Pyx_PyUnicode_MAX_CHAR_VALUE(u)   ((void)u, 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((void)u, (0))
  #define __Pyx_PyUnicode_DATA(u)         ((void*)u)
  #define __Pyx_PyUnicode_READ(k, d, i)   ((void)k, PyUnicode_ReadChar((PyObject*)(d), i))
  #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GetLength(u))
#elif PY_VERSION_HEX > 0x03030000 && defined(PyUnicode_KIND)
  #define CYTHON_PEP393_ENABLED 1
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_READY(op)       (0)
  #else
    #define __Pyx_PyUnicode_READY(op)       (likely(PyUnicode_IS_READY(op)) ?\
                                                0 : _PyUnicode_Ready((PyObject *)(op)))
  #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)         ((int)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, (Py_UCS4) ch)
  #if PY_VERSION_HEX >= 0x030C0000
    #define __Pyx_PyUnicode_IS_TRUE(u)      (0 != PyUnicode_GET_LENGTH(u))
  #else
    #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
  #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) ? 65535U : 1114111U)
  #define __Pyx_PyUnicode_KIND(u)         ((int)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] = (Py_UNICODE) 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
  #if !defined(PyUnicode_DecodeUnicodeEscape)
    #define PyUnicode_DecodeUnicodeEscape(s, size, errors)  PyUnicode_Decode(s, size, "unicode_escape", errors)
  #endif
  #if !defined(PyUnicode_Contains) || (PY_MAJOR_VERSION == 2 && PYPY_VERSION_NUM < 0x07030500)
    #undef PyUnicode_Contains
    #define PyUnicode_Contains(u, s)  PySequence_Contains(u, s)
  #endif
  #if !defined(PyByteArray_Check)
    #define PyByteArray_Check(obj)  PyObject_TypeCheck(obj, &PyByteArray_Type)
  #endif
  #if !defined(PyObject_Format)
    #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
  #endif
#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
#if CYTHON_COMPILING_IN_CPYTHON
  #define __Pyx_PySequence_ListKeepNew(obj)\
    (likely(PyList_CheckExact(obj) && Py_REFCNT(obj) == 1) ? __Pyx_NewRef(obj) : PySequence_List(obj))
#else
  #define __Pyx_PySequence_ListKeepNew(obj)  PySequence_List(obj)
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        __Pyx_IS_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_ITEM(o, i) PySequence_ITEM(o, i)
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) (PyTuple_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyList_SET_ITEM(o, i, v) (PyList_SET_ITEM(o, i, v), (0))
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_GET_SIZE(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_GET_SIZE(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_GET_SIZE(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_GET_SIZE(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_GET_SIZE(o)
#else
  #define __Pyx_PySequence_ITEM(o, i) PySequence_GetItem(o, i)
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
  #define __Pyx_PyTuple_SET_ITEM(o, i, v) PyTuple_SetItem(o, i, v)
  #define __Pyx_PyList_SET_ITEM(o, i, v) PyList_SetItem(o, i, v)
  #define __Pyx_PyTuple_GET_SIZE(o) PyTuple_Size(o)
  #define __Pyx_PyList_GET_SIZE(o) PyList_Size(o)
  #define __Pyx_PySet_GET_SIZE(o) PySet_Size(o)
  #define __Pyx_PyBytes_GET_SIZE(o) PyBytes_Size(o)
  #define __Pyx_PyByteArray_GET_SIZE(o) PyByteArray_Size(o)
#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 __Pyx_Py3Int_Check(op)       PyLong_Check(op)
  #define __Pyx_Py3Int_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
#else
  #define __Pyx_Py3Int_Check(op)       (PyLong_Check(op) || PyInt_Check(op))
  #define __Pyx_Py3Int_CheckExact(op)  (PyLong_CheckExact(op) || PyInt_CheckExact(op))
#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 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(WIN32) || defined(MS_WINDOWS)
  #if !defined(_USE_MATH_DEFINES)
    #define _USE_MATH_DEFINES
  #endif
#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; }

#ifdef CYTHON_EXTERN_C
    #undef __PYX_EXTERN_C
    #define __PYX_EXTERN_C CYTHON_EXTERN_C
#elif defined(__PYX_EXTERN_C)
    #ifdef _MSC_VER
    #pragma message ("Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.")
    #else
    #warning Please do not define the '__PYX_EXTERN_C' macro externally. Use 'CYTHON_EXTERN_C' instead.
    #endif
#else
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
  #else
    #define __PYX_EXTERN_C extern
  #endif
#endif

#define __PYX_HAVE__treams__special___ufuncs
#define __PYX_HAVE_API__treams__special___ufuncs
/* Early includes */
#include <string.h>
#include <stdio.h>

    /* Using NumPy API declarations from "numpy/__init__.cython-30.pxd" */
    
#include "numpy/arrayobject.h"
#include "numpy/ndarrayobject.h"
#include "numpy/ndarraytypes.h"
#include "numpy/arrayscalars.h"
#include "numpy/ufuncobject.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 Py_ssize_t __Pyx_ssize_strlen(const char *s);
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char*);
#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_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*)(__pyx_uintptr_t) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*)(__pyx_uintptr_t) __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)
#if CYTHON_COMPILING_IN_LIMITED_API
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const wchar_t *u)
{
    const wchar_t *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#else
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);
}
#endif
#define __Pyx_PyUnicode_FromOrdinal(o)       PyUnicode_FromOrdinal((int)o)
#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
#if CYTHON_USE_PYLONG_INTERNALS
  #if PY_VERSION_HEX >= 0x030C00A7
  #ifndef _PyLong_SIGN_MASK
    #define _PyLong_SIGN_MASK 3
  #endif
  #ifndef _PyLong_NON_SIZE_BITS
    #define _PyLong_NON_SIZE_BITS 3
  #endif
  #define __Pyx_PyLong_Sign(x)  (((PyLongObject*)x)->long_value.lv_tag & _PyLong_SIGN_MASK)
  #define __Pyx_PyLong_IsNeg(x)  ((__Pyx_PyLong_Sign(x) & 2) != 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (!__Pyx_PyLong_IsNeg(x))
  #define __Pyx_PyLong_IsZero(x)  (__Pyx_PyLong_Sign(x) & 1)
  #define __Pyx_PyLong_IsPos(x)  (__Pyx_PyLong_Sign(x) == 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  (__Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  ((Py_ssize_t) (((PyLongObject*)x)->long_value.lv_tag >> _PyLong_NON_SIZE_BITS))
  #define __Pyx_PyLong_SignedDigitCount(x)\
        ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * __Pyx_PyLong_DigitCount(x))
  #if defined(PyUnstable_Long_IsCompact) && defined(PyUnstable_Long_CompactValue)
    #define __Pyx_PyLong_IsCompact(x)     PyUnstable_Long_IsCompact((PyLongObject*) x)
    #define __Pyx_PyLong_CompactValue(x)  PyUnstable_Long_CompactValue((PyLongObject*) x)
  #else
    #define __Pyx_PyLong_IsCompact(x)     (((PyLongObject*)x)->long_value.lv_tag < (2 << _PyLong_NON_SIZE_BITS))
    #define __Pyx_PyLong_CompactValue(x)  ((1 - (Py_ssize_t) __Pyx_PyLong_Sign(x)) * (Py_ssize_t) __Pyx_PyLong_Digits(x)[0])
  #endif
  typedef Py_ssize_t  __Pyx_compact_pylong;
  typedef size_t  __Pyx_compact_upylong;
  #else  // Py < 3.12
  #define __Pyx_PyLong_IsNeg(x)  (Py_SIZE(x) < 0)
  #define __Pyx_PyLong_IsNonNeg(x)  (Py_SIZE(x) >= 0)
  #define __Pyx_PyLong_IsZero(x)  (Py_SIZE(x) == 0)
  #define __Pyx_PyLong_IsPos(x)  (Py_SIZE(x) > 0)
  #define __Pyx_PyLong_CompactValueUnsigned(x)  ((Py_SIZE(x) == 0) ? 0 : __Pyx_PyLong_Digits(x)[0])
  #define __Pyx_PyLong_DigitCount(x)  __Pyx_sst_abs(Py_SIZE(x))
  #define __Pyx_PyLong_SignedDigitCount(x)  Py_SIZE(x)
  #define __Pyx_PyLong_IsCompact(x)  (Py_SIZE(x) == 0 || Py_SIZE(x) == 1 || Py_SIZE(x) == -1)
  #define __Pyx_PyLong_CompactValue(x)\
        ((Py_SIZE(x) == 0) ? (sdigit) 0 : ((Py_SIZE(x) < 0) ? -(sdigit)__Pyx_PyLong_Digits(x)[0] : (sdigit)__Pyx_PyLong_Digits(x)[0]))
  typedef sdigit  __Pyx_compact_pylong;
  typedef digit  __Pyx_compact_upylong;
  #endif
  #if PY_VERSION_HEX >= 0x030C00A5
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->long_value.ob_digit)
  #else
  #define __Pyx_PyLong_Digits(x)  (((PyLongObject*)x)->ob_digit)
  #endif
#endif
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
#include <string.h>
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] = (char) 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)
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/* Test for GCC > 2.95 */
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static CYTHON_INLINE void __Pyx_pretend_to_initialize(void* ptr) { (void)ptr; }

#if !CYTHON_USE_MODULE_STATE
static PyObject *__pyx_m = NULL;
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static int __pyx_lineno;
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static const char *__pyx_filename;

/* Header.proto */
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/* #### Code section: utility_code_proto_before_types ### */
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/* 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()

/* #### Code section: numeric_typedefs ### */

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":732
 * # 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/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":733
 * 
 * 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/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":734
 * 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/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":735
 * 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/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":739
 * #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/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":740
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
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typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":741
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
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typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":742
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
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typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":746
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
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typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":747
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
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typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":756
 * # The int types are mapped a bit surprising --
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 * ctypedef npy_longlong   long_t
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typedef npy_long __pyx_t_5numpy_int_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":757
 * # 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
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typedef npy_longlong __pyx_t_5numpy_long_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":758
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
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typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":760
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
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typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":761
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":762
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
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typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":764
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
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typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":765
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
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typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":767
 * ctypedef npy_uintp      uintp_t
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 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
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typedef npy_double __pyx_t_5numpy_float_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":768
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
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typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":769
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
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 * ctypedef npy_cfloat      cfloat_t
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typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
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/*--- Type declarations ---*/

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":771
 * ctypedef npy_longdouble longdouble_t
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 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
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typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":772
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
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typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":773
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 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
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 * ctypedef npy_cdouble     complex_t
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typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "../../../../../tmp/build-env-mw_fa2g9/lib/python3.10/site-packages/numpy/__init__.cython-30.pxd":775
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 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
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typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_fuse_0__pyx_opt_args_5scipy_7special_14cython_special_spherical_jn;
struct __pyx_fuse_1__pyx_opt_args_5scipy_7special_14cython_special_spherical_jn;
struct __pyx_fuse_0__pyx_opt_args_5scipy_7special_14cython_special_spherical_yn;
struct __pyx_fuse_1__pyx_opt_args_5scipy_7special_14cython_special_spherical_yn;
struct __pyx_fuse_0__pyx_opt_args_5scipy_7special_14cython_special_spherical_in;
struct __pyx_fuse_1__pyx_opt_args_5scipy_7special_14cython_special_spherical_in;
struct __pyx_fuse_0__pyx_opt_args_5scipy_7special_14cython_special_spherical_kn;
struct __pyx_fuse_1__pyx_opt_args_5scipy_7special_14cython_special_spherical_kn;

/* "scipy/special/cython_special.pxd":8
 *     double
 * 
 * cpdef number_t spherical_jn(long n, number_t z, bint derivative=*) noexcept nogil             # <<<<<<<<<<<<<<
 * cpdef number_t spherical_yn(long n, number_t z, bint derivative=*) noexcept nogil
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struct __pyx_fuse_0__pyx_opt_args_5scipy_7special_14cython_special_spherical_jn {
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  int derivative;
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struct __pyx_fuse_1__pyx_opt_args_5scipy_7special_14cython_special_spherical_jn {
  int __pyx_n;
  int derivative;
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/* "scipy/special/cython_special.pxd":9
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 * cpdef number_t spherical_jn(long n, number_t z, bint derivative=*) noexcept nogil
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 * cpdef number_t spherical_in(long n, number_t z, bint derivative=*) noexcept nogil
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 */
struct __pyx_fuse_0__pyx_opt_args_5scipy_7special_14cython_special_spherical_yn {
  int __pyx_n;
  int derivative;
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struct __pyx_fuse_1__pyx_opt_args_5scipy_7special_14cython_special_spherical_yn {
  int __pyx_n;
  int derivative;
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/* "scipy/special/cython_special.pxd":10
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 * cpdef number_t spherical_in(long n, number_t z, bint derivative=*) noexcept nogil             # <<<<<<<<<<<<<<
 * cpdef number_t spherical_kn(long n, number_t z, bint derivative=*) noexcept nogil
 * 
 */
struct __pyx_fuse_0__pyx_opt_args_5scipy_7special_14cython_special_spherical_in {
  int __pyx_n;
  int derivative;
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struct __pyx_fuse_1__pyx_opt_args_5scipy_7special_14cython_special_spherical_in {
  int __pyx_n;
  int derivative;
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/* "scipy/special/cython_special.pxd":11
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 * ctypedef fused Dd_number_t:
 */
struct __pyx_fuse_0__pyx_opt_args_5scipy_7special_14cython_special_spherical_kn {
  int __pyx_n;
  int derivative;
};
struct __pyx_fuse_1__pyx_opt_args_5scipy_7special_14cython_special_spherical_kn {
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  int derivative;
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/* PyThreadStateGet.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyThreadState_declare  PyThreadState *__pyx_tstate;
#define __Pyx_PyThreadState_assign  __pyx_tstate = __Pyx_PyThreadState_Current;
#if PY_VERSION_HEX >= 0x030C00A6
#define __Pyx_PyErr_Occurred()  (__pyx_tstate->current_exception != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->current_exception ? (PyObject*) Py_TYPE(__pyx_tstate->current_exception) : (PyObject*) NULL)
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#define __Pyx_PyErr_Occurred()  (__pyx_tstate->curexc_type != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  (__pyx_tstate->curexc_type)
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#define __Pyx_PyThreadState_declare
#define __Pyx_PyThreadState_assign
#define __Pyx_PyErr_Occurred()  (PyErr_Occurred() != NULL)
#define __Pyx_PyErr_CurrentExceptionType()  PyErr_Occurred()
#endif

/* PyErrFetchRestore.proto */
#if CYTHON_FAST_THREAD_STATE
#define __Pyx_PyErr_Clear() __Pyx_ErrRestore(NULL, NULL, NULL)
#define __Pyx_ErrRestoreWithState(type, value, tb)  __Pyx_ErrRestoreInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX < 0x030C00A6
#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
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#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
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#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
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/* PyObjectGetAttrStr.proto */
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static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name);
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/* PyObjectGetAttrStrNoError.proto */
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/* GetBuiltinName.proto */
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/* GetTopmostException.proto */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem * __Pyx_PyErr_GetTopmostException(PyThreadState *tstate);
#endif

/* SaveResetException.proto */
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#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);
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#define __Pyx_ExceptionSave(type, value, tb)   PyErr_GetExcInfo(type, value, tb)
#define __Pyx_ExceptionReset(type, value, tb)  PyErr_SetExcInfo(type, value, tb)
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/* GetException.proto */
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#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);
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/* PyObjectCall.proto */
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static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
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#define __Pyx_PyObject_Call(func, arg, kw) PyObject_Call(func, arg, kw)
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/* RaiseException.proto */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);

/* ErrOccurredWithGIL.proto */
static CYTHON_INLINE int __Pyx_ErrOccurredWithGIL(void);

/* TypeImport.proto */
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#define __PYX_HAVE_RT_ImportType_proto_3_0_4
#if defined (__STDC_VERSION__) && __STDC_VERSION__ >= 201112L
#include <stdalign.h>
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#define __PYX_GET_STRUCT_ALIGNMENT_3_0_4(s) alignof(s)
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enum __Pyx_ImportType_CheckSize_3_0_4 {
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   __Pyx_ImportType_CheckSize_Warn_3_0_4 = 1,
   __Pyx_ImportType_CheckSize_Ignore_3_0_4 = 2
};
static PyTypeObject *__Pyx_ImportType_3_0_4(PyObject* module, const char *module_name, const char *class_name, size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_0_4 check_size);
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/* PyDictVersioning.proto */
#if CYTHON_USE_DICT_VERSIONS && CYTHON_USE_TYPE_SLOTS
#define __PYX_DICT_VERSION_INIT  ((PY_UINT64_T) -1)
#define __PYX_GET_DICT_VERSION(dict)  (((PyDictObject*)(dict))->ma_version_tag)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)\
    (version_var) = __PYX_GET_DICT_VERSION(dict);\
    (cache_var) = (value);
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP) {\
    static PY_UINT64_T __pyx_dict_version = 0;\
    static PyObject *__pyx_dict_cached_value = NULL;\
    if (likely(__PYX_GET_DICT_VERSION(DICT) == __pyx_dict_version)) {\
        (VAR) = __pyx_dict_cached_value;\
    } else {\
        (VAR) = __pyx_dict_cached_value = (LOOKUP);\
        __pyx_dict_version = __PYX_GET_DICT_VERSION(DICT);\
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}
static CYTHON_INLINE PY_UINT64_T __Pyx_get_tp_dict_version(PyObject *obj);
static CYTHON_INLINE PY_UINT64_T __Pyx_get_object_dict_version(PyObject *obj);
static CYTHON_INLINE int __Pyx_object_dict_version_matches(PyObject* obj, PY_UINT64_T tp_dict_version, PY_UINT64_T obj_dict_version);
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#define __PYX_GET_DICT_VERSION(dict)  (0)
#define __PYX_UPDATE_DICT_CACHE(dict, value, cache_var, version_var)
#define __PYX_PY_DICT_LOOKUP_IF_MODIFIED(VAR, DICT, LOOKUP)  (VAR) = (LOOKUP);
#endif

/* 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 */
#if !CYTHON_COMPILING_IN_LIMITED_API
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);
#endif

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

/* 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)
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#if defined(__cplusplus) && CYTHON_CCOMPLEX\
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    #define __Pyx_SET_CREAL(z,x) ((z).real(x))
    #define __Pyx_SET_CIMAG(z,y) ((z).imag(y))
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    #define __Pyx_SET_CREAL(z,x) __Pyx_CREAL(z) = (x)
    #define __Pyx_SET_CIMAG(z,y) __Pyx_CIMAG(z) = (y)
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/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #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))
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 #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

/* Arithmetic.proto */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
    #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

/* FormatTypeName.proto */
#if CYTHON_COMPILING_IN_LIMITED_API
typedef PyObject *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%U"
static __Pyx_TypeName __Pyx_PyType_GetName(PyTypeObject* tp);
#define __Pyx_DECREF_TypeName(obj) Py_XDECREF(obj)
#else
typedef const char *__Pyx_TypeName;
#define __Pyx_FMT_TYPENAME "%.200s"
#define __Pyx_PyType_GetName(tp) ((tp)->tp_name)
#define __Pyx_DECREF_TypeName(obj)
#endif

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

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

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

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

/* FastTypeChecks.proto */
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_TypeCheck(obj, type) __Pyx_IsSubtype(Py_TYPE(obj), (PyTypeObject *)type)
#define __Pyx_TypeCheck2(obj, type1, type2) __Pyx_IsAnySubtype2(Py_TYPE(obj), (PyTypeObject *)type1, (PyTypeObject *)type2)
static CYTHON_INLINE int __Pyx_IsSubtype(PyTypeObject *a, PyTypeObject *b);
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, 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_TypeCheck2(obj, type1, type2) (PyObject_TypeCheck(obj, (PyTypeObject *)type1) || PyObject_TypeCheck(obj, (PyTypeObject *)type2))
#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_PyErr_ExceptionMatches2(err1, err2)  __Pyx_PyErr_GivenExceptionMatches2(__Pyx_PyErr_CurrentExceptionType(), err1, err2)
#define __Pyx_PyException_Check(obj) __Pyx_TypeCheck(obj, PyExc_Exception)

/* CheckBinaryVersion.proto */
static unsigned long __Pyx_get_runtime_version(void);
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer);

/* VoidPtrImport.proto */
static int __Pyx_ImportVoidPtr_3_0_4(PyObject *module, const char *name, void **p, const char *sig);

/* FunctionImport.proto */
static int __Pyx_ImportFunction_3_0_4(PyObject *module, const char *funcname, void (**f)(void), const char *sig);

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

/* #### Code section: module_declarations ### */
static CYTHON_INLINE PyObject *__pyx_f_5numpy_7ndarray_4base_base(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE PyArray_Descr *__pyx_f_5numpy_7ndarray_5descr_descr(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE int __pyx_f_5numpy_7ndarray_4ndim_ndim(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_5shape_shape(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp *__pyx_f_5numpy_7ndarray_7strides_strides(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE npy_intp __pyx_f_5numpy_7ndarray_4size_size(PyArrayObject *__pyx_v_self); /* proto*/
static CYTHON_INLINE char *__pyx_f_5numpy_7ndarray_4data_data(PyArrayObject *__pyx_v_self); /* proto*/

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

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

/* Module declarations from "__builtin__" */

/* Module declarations from "cpython.type" */

/* Module declarations from "cpython" */

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

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

/* Module declarations from "numpy" */

/* Module declarations from "numpy" */
static CYTHON_INLINE int __pyx_f_5numpy_import_array(void); /*proto*/
static CYTHON_INLINE int __pyx_f_5numpy_import_ufunc(void); /*proto*/

/* Module declarations from "scipy.special.cython_special" */
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_sph_harm)(double, double, double, double, int __pyx_skip_dispatch); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1__pyx_f_5scipy_7special_14cython_special_sph_harm)(long, long, double, double, int __pyx_skip_dispatch); /*proto*/

/* Module declarations from "treams.special" */

/* Module declarations from "treams.special._bessel" */
static __pyx_t_double_complex (*__pyx_f_6treams_7special_7_bessel_hankel1_d)(double, __pyx_t_double_complex); /*proto*/
static __pyx_t_double_complex (*__pyx_f_6treams_7special_7_bessel_hankel2_d)(double, __pyx_t_double_complex); /*proto*/
static __pyx_t_double_complex (*__pyx_f_6treams_7special_7_bessel_spherical_hankel1)(double, __pyx_t_double_complex); /*proto*/
static __pyx_t_double_complex (*__pyx_f_6treams_7special_7_bessel_spherical_hankel1_d)(double, __pyx_t_double_complex); /*proto*/
static __pyx_t_double_complex (*__pyx_f_6treams_7special_7_bessel_spherical_hankel2)(double, __pyx_t_double_complex); /*proto*/
static __pyx_t_double_complex (*__pyx_f_6treams_7special_7_bessel_spherical_hankel2_d)(double, __pyx_t_double_complex); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_7_bessel_jv_d)(double, __pyx_t_double_complex); /*proto*/
static double (*__pyx_fuse_1__pyx_f_6treams_7special_7_bessel_jv_d)(double, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_7_bessel_yv_d)(double, __pyx_t_double_complex); /*proto*/
static double (*__pyx_fuse_1__pyx_f_6treams_7special_7_bessel_yv_d)(double, double); /*proto*/

/* Module declarations from "treams.special._integrals" */
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_10_integrals_incgamma)(double, __pyx_t_double_complex); /*proto*/
static double (*__pyx_fuse_1__pyx_f_6treams_7special_10_integrals_incgamma)(double, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_10_integrals_intkambe)(long, __pyx_t_double_complex, __pyx_t_double_complex); /*proto*/
static double (*__pyx_fuse_1__pyx_f_6treams_7special_10_integrals_intkambe)(long, double, double); /*proto*/

/* Module declarations from "treams.special._waves" */
static __pyx_t_double_complex (*__pyx_f_6treams_7special_6_waves_csph_harm)(double, double, double, __pyx_t_double_complex); /*proto*/
static __pyx_t_double_complex (*__pyx_f_6treams_7special_6_waves__tl_vsw_helper)(long, long, long, long, long, long); /*proto*/
static __pyx_t_double_complex (*__pyx_f_6treams_7special_6_waves_tl_vcw)(double, long, double, long, __pyx_t_double_complex, double, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_6_waves_lpmv)(double, double, __pyx_t_double_complex); /*proto*/
static double (*__pyx_fuse_1__pyx_f_6treams_7special_6_waves_lpmv)(double, double, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_6_waves_pi_fun)(double, double, __pyx_t_double_complex); /*proto*/
static double (*__pyx_fuse_1__pyx_f_6treams_7special_6_waves_pi_fun)(double, double, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_6_waves_tau_fun)(double, double, __pyx_t_double_complex); /*proto*/
static double (*__pyx_fuse_1__pyx_f_6treams_7special_6_waves_tau_fun)(double, double, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_6_waves_tl_vsw_A)(long, long, long, long, __pyx_t_double_complex, __pyx_t_double_complex, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1__pyx_f_6treams_7special_6_waves_tl_vsw_A)(long, long, long, long, __pyx_t_double_complex, double, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_6_waves_tl_vsw_B)(long, long, long, long, __pyx_t_double_complex, __pyx_t_double_complex, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1__pyx_f_6treams_7special_6_waves_tl_vsw_B)(long, long, long, long, __pyx_t_double_complex, double, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_6_waves_tl_vsw_rA)(long, long, long, long, __pyx_t_double_complex, __pyx_t_double_complex, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1__pyx_f_6treams_7special_6_waves_tl_vsw_rA)(long, long, long, long, double, double, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_6_waves_tl_vsw_rB)(long, long, long, long, __pyx_t_double_complex, __pyx_t_double_complex, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1__pyx_f_6treams_7special_6_waves_tl_vsw_rB)(long, long, long, long, double, double, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_6_waves_tl_vcw_r)(double, long, double, long, __pyx_t_double_complex, double, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1__pyx_f_6treams_7special_6_waves_tl_vcw_r)(double, long, double, long, double, double, double); /*proto*/

/* Module declarations from "treams.special._wigner3j" */
static double (*__pyx_f_6treams_7special_9_wigner3j_wigner3j)(long, long, long, long, long, long); /*proto*/

/* Module declarations from "treams.special._wignerd" */
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_8_wignerd_wignersmalld)(long, long, long, __pyx_t_double_complex); /*proto*/
static double (*__pyx_fuse_1__pyx_f_6treams_7special_8_wignerd_wignersmalld)(long, long, long, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_0__pyx_f_6treams_7special_8_wignerd_wignerd)(long, long, long, double, __pyx_t_double_complex, double); /*proto*/
static __pyx_t_double_complex (*__pyx_fuse_1__pyx_f_6treams_7special_8_wignerd_wignerd)(long, long, long, double, double, double); /*proto*/

/* Module declarations from "cython" */

/* Module declarations from "treams.special._misc" */
static double *__pyx_vp_6treams_7special_5_misc_SQPI = 0;
#define __pyx_v_6treams_7special_5_misc_SQPI (*__pyx_vp_6treams_7special_5_misc_SQPI)

/* Module declarations from "treams.special._ufuncs" */
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_lpmv_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_lpmv_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_lpmv_types[(2 * 4)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_sph_harm_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_sph_harm_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_sph_harm_types[(2 * 5)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_types[(2 * 3)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_types[(2 * 4)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_types[(2 * 5)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[(2 * 7)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_loops[1];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_data[1];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_types[7];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_types[(2 * 3)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_types[(2 * 3)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_loops[1];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_data[1];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_types[3];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_loops[1];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_data[1];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_types[3];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_d_loops[1];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_d_data[1];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_d_types[3];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_d_loops[1];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_d_data[1];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_d_types[3];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_hankel1_d_loops[1];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel1_d_data[1];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_hankel1_d_types[3];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_hankel2_d_loops[1];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel2_d_data[1];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_hankel2_d_types[3];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_types[(2 * 4)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_types[(2 * 4)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[(2 * 8)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[(2 * 8)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[(2 * 8)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[(2 * 8)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_loops[1];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_data[1];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_types[8];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_r_loops[2];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_r_data[2];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_r_types[(2 * 8)];
static PyUFuncGenericFunction __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_helper_loops[1];
static void *__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_helper_data[1];
static char __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_helper_types[7];
static void __pyx_f_6treams_7special_7_ufuncs_loop_d_dd(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_dD(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_d_ddd(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_d_ldd(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_lDD(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_ddD(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_d_llld(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_lllD(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_dddd(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_dddD(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_d_llllll(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_llllll(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_lllddd(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_llldDd(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_llllddd(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_llllDdd(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_llllDDd(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_dldlddd(char **, npy_intp *, npy_intp *, void *); /*proto*/
static void __pyx_f_6treams_7special_7_ufuncs_loop_D_dldlDdd(char **, npy_intp *, npy_intp *, void *); /*proto*/
/* #### Code section: typeinfo ### */
/* #### Code section: before_global_var ### */
#define __Pyx_MODULE_NAME "treams.special._ufuncs"
extern int __pyx_module_is_main_treams__special___ufuncs;
int __pyx_module_is_main_treams__special___ufuncs = 0;

/* Implementation of "treams.special._ufuncs" */
/* #### Code section: global_var ### */
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_ImportError;
/* #### Code section: string_decls ### */
static const char __pyx_k__3[] = "?";
static const char __pyx_k_all[] = "__all__";
static const char __pyx_k_jv_d[] = "jv_d";
static const char __pyx_k_lpmv[] = "lpmv";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_yv_d[] = "yv_d";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_pi_fun[] = "pi_fun";
static const char __pyx_k_tl_vcw[] = "tl_vcw";
static const char __pyx_k_tau_fun[] = "tau_fun";
static const char __pyx_k_wignerd[] = "wignerd";
static const char __pyx_k_incgamma[] = "incgamma";
static const char __pyx_k_intkambe[] = "intkambe";
static const char __pyx_k_sph_harm[] = "sph_harm";
static const char __pyx_k_tl_vcw_r[] = "tl_vcw_r";
static const char __pyx_k_tl_vsw_A[] = "tl_vsw_A";
static const char __pyx_k_tl_vsw_B[] = "tl_vsw_B";
static const char __pyx_k_wigner3j[] = "wigner3j";
static const char __pyx_k_hankel1_d[] = "hankel1_d";
static const char __pyx_k_hankel2_d[] = "hankel2_d";
static const char __pyx_k_tl_vsw_rA[] = "tl_vsw_rA";
static const char __pyx_k_tl_vsw_rB[] = "tl_vsw_rB";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_wignersmalld[] = "wignersmalld";
static const char __pyx_k_tl_vsw_helper[] = "_tl_vsw_helper";
static const char __pyx_k_spherical_hankel1[] = "spherical_hankel1";
static const char __pyx_k_spherical_hankel2[] = "spherical_hankel2";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_spherical_hankel1_d[] = "spherical_hankel1_d";
static const char __pyx_k_spherical_hankel2_d[] = "spherical_hankel2_d";
static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
static const char __pyx_k_Universal_functions_for_the_spec[] = "Universal functions for the special subpackage";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
/* #### Code section: decls ### */
/* #### Code section: late_includes ### */
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  PyTypeObject *__pyx_ptype_5numpy_broadcast;
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  PyObject *__pyx_n_s_ImportError;
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  PyObject *__pyx_n_s_cline_in_traceback;
  PyObject *__pyx_n_s_hankel1_d;
  PyObject *__pyx_n_u_hankel1_d;
  PyObject *__pyx_n_s_hankel2_d;
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  PyObject *__pyx_n_s_incgamma;
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  PyObject *__pyx_n_u_intkambe;
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  PyObject *__pyx_n_s_main;
  PyObject *__pyx_n_s_name;
  PyObject *__pyx_kp_u_numpy_core_multiarray_failed_to;
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  PyObject *__pyx_n_s_pi_fun;
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  PyObject *__pyx_n_s_range;
  PyObject *__pyx_n_s_sph_harm;
  PyObject *__pyx_n_u_sph_harm;
  PyObject *__pyx_n_s_spherical_hankel1;
  PyObject *__pyx_n_u_spherical_hankel1;
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  PyObject *__pyx_n_u_spherical_hankel1_d;
  PyObject *__pyx_n_s_spherical_hankel2;
  PyObject *__pyx_n_u_spherical_hankel2;
  PyObject *__pyx_n_s_spherical_hankel2_d;
  PyObject *__pyx_n_u_spherical_hankel2_d;
  PyObject *__pyx_n_s_tau_fun;
  PyObject *__pyx_n_u_tau_fun;
  PyObject *__pyx_n_s_test;
  PyObject *__pyx_n_s_tl_vcw;
  PyObject *__pyx_n_u_tl_vcw;
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  PyObject *__pyx_n_u_tl_vsw_B;
  PyObject *__pyx_n_s_tl_vsw_helper;
  PyObject *__pyx_n_u_tl_vsw_helper;
  PyObject *__pyx_n_s_tl_vsw_rA;
  PyObject *__pyx_n_u_tl_vsw_rA;
  PyObject *__pyx_n_s_tl_vsw_rB;
  PyObject *__pyx_n_u_tl_vsw_rB;
  PyObject *__pyx_n_s_wigner3j;
  PyObject *__pyx_n_u_wigner3j;
  PyObject *__pyx_n_s_wignerd;
  PyObject *__pyx_n_u_wignerd;
  PyObject *__pyx_n_s_wignersmalld;
  PyObject *__pyx_n_u_wignersmalld;
  PyObject *__pyx_n_s_yv_d;
  PyObject *__pyx_n_u_yv_d;
  PyObject *__pyx_tuple_;
  PyObject *__pyx_tuple__2;
} __pyx_mstate;

#if CYTHON_USE_MODULE_STATE
#ifdef __cplusplus
namespace {
  extern struct PyModuleDef __pyx_moduledef;
} /* anonymous namespace */
#else
static struct PyModuleDef __pyx_moduledef;
#endif

#define __pyx_mstate(o) ((__pyx_mstate *)__Pyx_PyModule_GetState(o))

#define __pyx_mstate_global (__pyx_mstate(PyState_FindModule(&__pyx_moduledef)))

#define __pyx_m (PyState_FindModule(&__pyx_moduledef))
#else
static __pyx_mstate __pyx_mstate_global_static =
#ifdef __cplusplus
    {};
#else
    {0};
#endif
static __pyx_mstate *__pyx_mstate_global = &__pyx_mstate_global_static;
#endif
/* #### Code section: module_state_clear ### */
#if CYTHON_USE_MODULE_STATE
static int __pyx_m_clear(PyObject *m) {
  __pyx_mstate *clear_module_state = __pyx_mstate(m);
  if (!clear_module_state) return 0;
  Py_CLEAR(clear_module_state->__pyx_d);
  Py_CLEAR(clear_module_state->__pyx_b);
  Py_CLEAR(clear_module_state->__pyx_cython_runtime);
  Py_CLEAR(clear_module_state->__pyx_empty_tuple);
  Py_CLEAR(clear_module_state->__pyx_empty_bytes);
  Py_CLEAR(clear_module_state->__pyx_empty_unicode);
  #ifdef __Pyx_CyFunction_USED
  Py_CLEAR(clear_module_state->__pyx_CyFunctionType);
  #endif
  #ifdef __Pyx_FusedFunction_USED
  Py_CLEAR(clear_module_state->__pyx_FusedFunctionType);
  #endif
  Py_CLEAR(clear_module_state->__pyx_ptype_7cpython_4type_type);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_dtype);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_flatiter);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_broadcast);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_ndarray);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_generic);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_number);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_integer);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_signedinteger);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_unsignedinteger);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_inexact);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_floating);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_complexfloating);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_flexible);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_character);
  Py_CLEAR(clear_module_state->__pyx_ptype_5numpy_ufunc);
  Py_CLEAR(clear_module_state->__pyx_n_s_ImportError);
  Py_CLEAR(clear_module_state->__pyx_n_s__3);
  Py_CLEAR(clear_module_state->__pyx_n_s_all);
  Py_CLEAR(clear_module_state->__pyx_n_s_cline_in_traceback);
  Py_CLEAR(clear_module_state->__pyx_n_s_hankel1_d);
  Py_CLEAR(clear_module_state->__pyx_n_u_hankel1_d);
  Py_CLEAR(clear_module_state->__pyx_n_s_hankel2_d);
  Py_CLEAR(clear_module_state->__pyx_n_u_hankel2_d);
  Py_CLEAR(clear_module_state->__pyx_n_s_incgamma);
  Py_CLEAR(clear_module_state->__pyx_n_u_incgamma);
  Py_CLEAR(clear_module_state->__pyx_n_s_intkambe);
  Py_CLEAR(clear_module_state->__pyx_n_u_intkambe);
  Py_CLEAR(clear_module_state->__pyx_n_s_jv_d);
  Py_CLEAR(clear_module_state->__pyx_n_u_jv_d);
  Py_CLEAR(clear_module_state->__pyx_n_s_lpmv);
  Py_CLEAR(clear_module_state->__pyx_n_u_lpmv);
  Py_CLEAR(clear_module_state->__pyx_n_s_main);
  Py_CLEAR(clear_module_state->__pyx_n_s_name);
  Py_CLEAR(clear_module_state->__pyx_kp_u_numpy_core_multiarray_failed_to);
  Py_CLEAR(clear_module_state->__pyx_kp_u_numpy_core_umath_failed_to_impor);
  Py_CLEAR(clear_module_state->__pyx_n_s_pi_fun);
  Py_CLEAR(clear_module_state->__pyx_n_u_pi_fun);
  Py_CLEAR(clear_module_state->__pyx_n_s_range);
  Py_CLEAR(clear_module_state->__pyx_n_s_sph_harm);
  Py_CLEAR(clear_module_state->__pyx_n_u_sph_harm);
  Py_CLEAR(clear_module_state->__pyx_n_s_spherical_hankel1);
  Py_CLEAR(clear_module_state->__pyx_n_u_spherical_hankel1);
  Py_CLEAR(clear_module_state->__pyx_n_s_spherical_hankel1_d);
  Py_CLEAR(clear_module_state->__pyx_n_u_spherical_hankel1_d);
  Py_CLEAR(clear_module_state->__pyx_n_s_spherical_hankel2);
  Py_CLEAR(clear_module_state->__pyx_n_u_spherical_hankel2);
  Py_CLEAR(clear_module_state->__pyx_n_s_spherical_hankel2_d);
  Py_CLEAR(clear_module_state->__pyx_n_u_spherical_hankel2_d);
  Py_CLEAR(clear_module_state->__pyx_n_s_tau_fun);
  Py_CLEAR(clear_module_state->__pyx_n_u_tau_fun);
  Py_CLEAR(clear_module_state->__pyx_n_s_test);
  Py_CLEAR(clear_module_state->__pyx_n_s_tl_vcw);
  Py_CLEAR(clear_module_state->__pyx_n_u_tl_vcw);
  Py_CLEAR(clear_module_state->__pyx_n_s_tl_vcw_r);
  Py_CLEAR(clear_module_state->__pyx_n_u_tl_vcw_r);
  Py_CLEAR(clear_module_state->__pyx_n_s_tl_vsw_A);
  Py_CLEAR(clear_module_state->__pyx_n_u_tl_vsw_A);
  Py_CLEAR(clear_module_state->__pyx_n_s_tl_vsw_B);
  Py_CLEAR(clear_module_state->__pyx_n_u_tl_vsw_B);
  Py_CLEAR(clear_module_state->__pyx_n_s_tl_vsw_helper);
  Py_CLEAR(clear_module_state->__pyx_n_u_tl_vsw_helper);
  Py_CLEAR(clear_module_state->__pyx_n_s_tl_vsw_rA);
  Py_CLEAR(clear_module_state->__pyx_n_u_tl_vsw_rA);
  Py_CLEAR(clear_module_state->__pyx_n_s_tl_vsw_rB);
  Py_CLEAR(clear_module_state->__pyx_n_u_tl_vsw_rB);
  Py_CLEAR(clear_module_state->__pyx_n_s_wigner3j);
  Py_CLEAR(clear_module_state->__pyx_n_u_wigner3j);
  Py_CLEAR(clear_module_state->__pyx_n_s_wignerd);
  Py_CLEAR(clear_module_state->__pyx_n_u_wignerd);
  Py_CLEAR(clear_module_state->__pyx_n_s_wignersmalld);
  Py_CLEAR(clear_module_state->__pyx_n_u_wignersmalld);
  Py_CLEAR(clear_module_state->__pyx_n_s_yv_d);
  Py_CLEAR(clear_module_state->__pyx_n_u_yv_d);
  Py_CLEAR(clear_module_state->__pyx_tuple_);
  Py_CLEAR(clear_module_state->__pyx_tuple__2);
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}
#endif
/* #### Code section: module_state_traverse ### */
#if CYTHON_USE_MODULE_STATE
static int __pyx_m_traverse(PyObject *m, visitproc visit, void *arg) {
  __pyx_mstate *traverse_module_state = __pyx_mstate(m);
  if (!traverse_module_state) return 0;
  Py_VISIT(traverse_module_state->__pyx_d);
  Py_VISIT(traverse_module_state->__pyx_b);
  Py_VISIT(traverse_module_state->__pyx_cython_runtime);
  Py_VISIT(traverse_module_state->__pyx_empty_tuple);
  Py_VISIT(traverse_module_state->__pyx_empty_bytes);
  Py_VISIT(traverse_module_state->__pyx_empty_unicode);
  #ifdef __Pyx_CyFunction_USED
  Py_VISIT(traverse_module_state->__pyx_CyFunctionType);
  #endif
  #ifdef __Pyx_FusedFunction_USED
  Py_VISIT(traverse_module_state->__pyx_FusedFunctionType);
  #endif
  Py_VISIT(traverse_module_state->__pyx_ptype_7cpython_4type_type);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_dtype);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_flatiter);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_broadcast);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_ndarray);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_generic);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_number);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_integer);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_signedinteger);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_unsignedinteger);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_inexact);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_floating);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_complexfloating);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_flexible);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_character);
  Py_VISIT(traverse_module_state->__pyx_ptype_5numpy_ufunc);
  Py_VISIT(traverse_module_state->__pyx_n_s_ImportError);
  Py_VISIT(traverse_module_state->__pyx_n_s__3);
  Py_VISIT(traverse_module_state->__pyx_n_s_all);
  Py_VISIT(traverse_module_state->__pyx_n_s_cline_in_traceback);
  Py_VISIT(traverse_module_state->__pyx_n_s_hankel1_d);
  Py_VISIT(traverse_module_state->__pyx_n_u_hankel1_d);
  Py_VISIT(traverse_module_state->__pyx_n_s_hankel2_d);
  Py_VISIT(traverse_module_state->__pyx_n_u_hankel2_d);
  Py_VISIT(traverse_module_state->__pyx_n_s_incgamma);
  Py_VISIT(traverse_module_state->__pyx_n_u_incgamma);
  Py_VISIT(traverse_module_state->__pyx_n_s_intkambe);
  Py_VISIT(traverse_module_state->__pyx_n_u_intkambe);
  Py_VISIT(traverse_module_state->__pyx_n_s_jv_d);
  Py_VISIT(traverse_module_state->__pyx_n_u_jv_d);
  Py_VISIT(traverse_module_state->__pyx_n_s_lpmv);
  Py_VISIT(traverse_module_state->__pyx_n_u_lpmv);
  Py_VISIT(traverse_module_state->__pyx_n_s_main);
  Py_VISIT(traverse_module_state->__pyx_n_s_name);
  Py_VISIT(traverse_module_state->__pyx_kp_u_numpy_core_multiarray_failed_to);
  Py_VISIT(traverse_module_state->__pyx_kp_u_numpy_core_umath_failed_to_impor);
  Py_VISIT(traverse_module_state->__pyx_n_s_pi_fun);
  Py_VISIT(traverse_module_state->__pyx_n_u_pi_fun);
  Py_VISIT(traverse_module_state->__pyx_n_s_range);
  Py_VISIT(traverse_module_state->__pyx_n_s_sph_harm);
  Py_VISIT(traverse_module_state->__pyx_n_u_sph_harm);
  Py_VISIT(traverse_module_state->__pyx_n_s_spherical_hankel1);
  Py_VISIT(traverse_module_state->__pyx_n_u_spherical_hankel1);
  Py_VISIT(traverse_module_state->__pyx_n_s_spherical_hankel1_d);
  Py_VISIT(traverse_module_state->__pyx_n_u_spherical_hankel1_d);
  Py_VISIT(traverse_module_state->__pyx_n_s_spherical_hankel2);
  Py_VISIT(traverse_module_state->__pyx_n_u_spherical_hankel2);
  Py_VISIT(traverse_module_state->__pyx_n_s_spherical_hankel2_d);
  Py_VISIT(traverse_module_state->__pyx_n_u_spherical_hankel2_d);
  Py_VISIT(traverse_module_state->__pyx_n_s_tau_fun);
  Py_VISIT(traverse_module_state->__pyx_n_u_tau_fun);
  Py_VISIT(traverse_module_state->__pyx_n_s_test);
  Py_VISIT(traverse_module_state->__pyx_n_s_tl_vcw);
  Py_VISIT(traverse_module_state->__pyx_n_u_tl_vcw);
  Py_VISIT(traverse_module_state->__pyx_n_s_tl_vcw_r);
  Py_VISIT(traverse_module_state->__pyx_n_u_tl_vcw_r);
  Py_VISIT(traverse_module_state->__pyx_n_s_tl_vsw_A);
  Py_VISIT(traverse_module_state->__pyx_n_u_tl_vsw_A);
  Py_VISIT(traverse_module_state->__pyx_n_s_tl_vsw_B);
  Py_VISIT(traverse_module_state->__pyx_n_u_tl_vsw_B);
  Py_VISIT(traverse_module_state->__pyx_n_s_tl_vsw_helper);
  Py_VISIT(traverse_module_state->__pyx_n_u_tl_vsw_helper);
  Py_VISIT(traverse_module_state->__pyx_n_s_tl_vsw_rA);
  Py_VISIT(traverse_module_state->__pyx_n_u_tl_vsw_rA);
  Py_VISIT(traverse_module_state->__pyx_n_s_tl_vsw_rB);
  Py_VISIT(traverse_module_state->__pyx_n_u_tl_vsw_rB);
  Py_VISIT(traverse_module_state->__pyx_n_s_wigner3j);
  Py_VISIT(traverse_module_state->__pyx_n_u_wigner3j);
  Py_VISIT(traverse_module_state->__pyx_n_s_wignerd);
  Py_VISIT(traverse_module_state->__pyx_n_u_wignerd);
  Py_VISIT(traverse_module_state->__pyx_n_s_wignersmalld);
  Py_VISIT(traverse_module_state->__pyx_n_u_wignersmalld);
  Py_VISIT(traverse_module_state->__pyx_n_s_yv_d);
  Py_VISIT(traverse_module_state->__pyx_n_u_yv_d);
  Py_VISIT(traverse_module_state->__pyx_tuple_);
  Py_VISIT(traverse_module_state->__pyx_tuple__2);
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}
#endif
/* #### Code section: module_state_defines ### */
#define __pyx_d __pyx_mstate_global->__pyx_d
#define __pyx_b __pyx_mstate_global->__pyx_b
#define __pyx_cython_runtime __pyx_mstate_global->__pyx_cython_runtime
#define __pyx_empty_tuple __pyx_mstate_global->__pyx_empty_tuple
#define __pyx_empty_bytes __pyx_mstate_global->__pyx_empty_bytes
#define __pyx_empty_unicode __pyx_mstate_global->__pyx_empty_unicode
#ifdef __Pyx_CyFunction_USED
#define __pyx_CyFunctionType __pyx_mstate_global->__pyx_CyFunctionType
#endif
#ifdef __Pyx_FusedFunction_USED
#define __pyx_FusedFunctionType __pyx_mstate_global->__pyx_FusedFunctionType
#endif
#ifdef __Pyx_Generator_USED
#define __pyx_GeneratorType __pyx_mstate_global->__pyx_GeneratorType
#endif
#ifdef __Pyx_IterableCoroutine_USED
#define __pyx_IterableCoroutineType __pyx_mstate_global->__pyx_IterableCoroutineType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineAwaitType __pyx_mstate_global->__pyx_CoroutineAwaitType
#endif
#ifdef __Pyx_Coroutine_USED
#define __pyx_CoroutineType __pyx_mstate_global->__pyx_CoroutineType
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#define __pyx_ptype_7cpython_4type_type __pyx_mstate_global->__pyx_ptype_7cpython_4type_type
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#define __pyx_ptype_5numpy_dtype __pyx_mstate_global->__pyx_ptype_5numpy_dtype
#define __pyx_ptype_5numpy_flatiter __pyx_mstate_global->__pyx_ptype_5numpy_flatiter
#define __pyx_ptype_5numpy_broadcast __pyx_mstate_global->__pyx_ptype_5numpy_broadcast
#define __pyx_ptype_5numpy_ndarray __pyx_mstate_global->__pyx_ptype_5numpy_ndarray
#define __pyx_ptype_5numpy_generic __pyx_mstate_global->__pyx_ptype_5numpy_generic
#define __pyx_ptype_5numpy_number __pyx_mstate_global->__pyx_ptype_5numpy_number
#define __pyx_ptype_5numpy_integer __pyx_mstate_global->__pyx_ptype_5numpy_integer
#define __pyx_ptype_5numpy_signedinteger __pyx_mstate_global->__pyx_ptype_5numpy_signedinteger
#define __pyx_ptype_5numpy_unsignedinteger __pyx_mstate_global->__pyx_ptype_5numpy_unsignedinteger
#define __pyx_ptype_5numpy_inexact __pyx_mstate_global->__pyx_ptype_5numpy_inexact
#define __pyx_ptype_5numpy_floating __pyx_mstate_global->__pyx_ptype_5numpy_floating
#define __pyx_ptype_5numpy_complexfloating __pyx_mstate_global->__pyx_ptype_5numpy_complexfloating
#define __pyx_ptype_5numpy_flexible __pyx_mstate_global->__pyx_ptype_5numpy_flexible
#define __pyx_ptype_5numpy_character __pyx_mstate_global->__pyx_ptype_5numpy_character
#define __pyx_ptype_5numpy_ufunc __pyx_mstate_global->__pyx_ptype_5numpy_ufunc
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#if CYTHON_USE_MODULE_STATE
#endif
#define __pyx_n_s_ImportError __pyx_mstate_global->__pyx_n_s_ImportError
#define __pyx_n_s__3 __pyx_mstate_global->__pyx_n_s__3
#define __pyx_n_s_all __pyx_mstate_global->__pyx_n_s_all
#define __pyx_n_s_cline_in_traceback __pyx_mstate_global->__pyx_n_s_cline_in_traceback
#define __pyx_n_s_hankel1_d __pyx_mstate_global->__pyx_n_s_hankel1_d
#define __pyx_n_u_hankel1_d __pyx_mstate_global->__pyx_n_u_hankel1_d
#define __pyx_n_s_hankel2_d __pyx_mstate_global->__pyx_n_s_hankel2_d
#define __pyx_n_u_hankel2_d __pyx_mstate_global->__pyx_n_u_hankel2_d
#define __pyx_n_s_incgamma __pyx_mstate_global->__pyx_n_s_incgamma
#define __pyx_n_u_incgamma __pyx_mstate_global->__pyx_n_u_incgamma
#define __pyx_n_s_intkambe __pyx_mstate_global->__pyx_n_s_intkambe
#define __pyx_n_u_intkambe __pyx_mstate_global->__pyx_n_u_intkambe
#define __pyx_n_s_jv_d __pyx_mstate_global->__pyx_n_s_jv_d
#define __pyx_n_u_jv_d __pyx_mstate_global->__pyx_n_u_jv_d
#define __pyx_n_s_lpmv __pyx_mstate_global->__pyx_n_s_lpmv
#define __pyx_n_u_lpmv __pyx_mstate_global->__pyx_n_u_lpmv
#define __pyx_n_s_main __pyx_mstate_global->__pyx_n_s_main
#define __pyx_n_s_name __pyx_mstate_global->__pyx_n_s_name
#define __pyx_kp_u_numpy_core_multiarray_failed_to __pyx_mstate_global->__pyx_kp_u_numpy_core_multiarray_failed_to
#define __pyx_kp_u_numpy_core_umath_failed_to_impor __pyx_mstate_global->__pyx_kp_u_numpy_core_umath_failed_to_impor
#define __pyx_n_s_pi_fun __pyx_mstate_global->__pyx_n_s_pi_fun
#define __pyx_n_u_pi_fun __pyx_mstate_global->__pyx_n_u_pi_fun
#define __pyx_n_s_range __pyx_mstate_global->__pyx_n_s_range
#define __pyx_n_s_sph_harm __pyx_mstate_global->__pyx_n_s_sph_harm
#define __pyx_n_u_sph_harm __pyx_mstate_global->__pyx_n_u_sph_harm
#define __pyx_n_s_spherical_hankel1 __pyx_mstate_global->__pyx_n_s_spherical_hankel1
#define __pyx_n_u_spherical_hankel1 __pyx_mstate_global->__pyx_n_u_spherical_hankel1
#define __pyx_n_s_spherical_hankel1_d __pyx_mstate_global->__pyx_n_s_spherical_hankel1_d
#define __pyx_n_u_spherical_hankel1_d __pyx_mstate_global->__pyx_n_u_spherical_hankel1_d
#define __pyx_n_s_spherical_hankel2 __pyx_mstate_global->__pyx_n_s_spherical_hankel2
#define __pyx_n_u_spherical_hankel2 __pyx_mstate_global->__pyx_n_u_spherical_hankel2
#define __pyx_n_s_spherical_hankel2_d __pyx_mstate_global->__pyx_n_s_spherical_hankel2_d
#define __pyx_n_u_spherical_hankel2_d __pyx_mstate_global->__pyx_n_u_spherical_hankel2_d
#define __pyx_n_s_tau_fun __pyx_mstate_global->__pyx_n_s_tau_fun
#define __pyx_n_u_tau_fun __pyx_mstate_global->__pyx_n_u_tau_fun
#define __pyx_n_s_test __pyx_mstate_global->__pyx_n_s_test
#define __pyx_n_s_tl_vcw __pyx_mstate_global->__pyx_n_s_tl_vcw
#define __pyx_n_u_tl_vcw __pyx_mstate_global->__pyx_n_u_tl_vcw
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/* "treams/special/_ufuncs.pyx":37
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  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
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  __Pyx_AddTraceback("treams.special._ufuncs.loop_d_dd", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":52
 * 
 * 
 * cdef void loop_D_dD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_D_dD(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_op0;
  __pyx_t_double_complex __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  __pyx_t_double_complex __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":53
 * 
 * cdef void loop_D_dD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":54
 * cdef void loop_D_dD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":55
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *op0 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":56
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[2]
 *     cdef double complex ov0
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":57
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *op0 = args[2]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":59
 *     cdef char *op0 = args[2]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(double, double complex) nogil>func)(<double>(<double*>ip0)[0], <double complex>(<double complex*>ip1)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":60
 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(double, double complex) nogil>func)(<double>(<double*>ip0)[0], <double complex>(<double complex*>ip1)[0])             # <<<<<<<<<<<<<<
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((__pyx_t_double_complex (*)(double, __pyx_t_double_complex))__pyx_v_func)(((double)(((double *)__pyx_v_ip0)[0])), __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL((((__pyx_t_double_complex *)__pyx_v_ip1)[0]))), ((double)__Pyx_CIMAG((((__pyx_t_double_complex *)__pyx_v_ip1)[0]))))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 60, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":61
 *     for i in range(n):
 *         ov0 = (<double complex(*)(double, double complex) nogil>func)(<double>(<double*>ip0)[0], <double complex>(<double complex*>ip1)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((__pyx_t_double_complex *)__pyx_v_op0)[0]) = __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL(__pyx_v_ov0)), ((double)__Pyx_CIMAG(__pyx_v_ov0)));

    /* "treams/special/_ufuncs.pyx":62
 *         ov0 = (<double complex(*)(double, double complex) nogil>func)(<double>(<double*>ip0)[0], <double complex>(<double complex*>ip1)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         op0 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":63
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         op0 += steps[2]
 * 
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":64
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         op0 += steps[2]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[2]));
  }

  /* "treams/special/_ufuncs.pyx":52
 * 
 * 
 * cdef void loop_D_dD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_D_dD", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":67
 * 
 * 
 * cdef void loop_d_ddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_d_ddd(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_op0;
  double __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  double __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":68
 * 
 * cdef void loop_d_ddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":69
 * cdef void loop_d_ddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":70
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":71
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *op0 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":72
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[3]
 *     cdef double ov0
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":73
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *op0 = args[3]             # <<<<<<<<<<<<<<
 *     cdef double ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":75
 *     cdef char *op0 = args[3]
 *     cdef double ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double(*)(double, double, double) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0])
 *         (<double*>op0)[0] = <double>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":76
 *     cdef double ov0
 *     for i in range(n):
 *         ov0 = (<double(*)(double, double, double) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0])             # <<<<<<<<<<<<<<
 *         (<double*>op0)[0] = <double>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((double (*)(double, double, double))__pyx_v_func)(((double)(((double *)__pyx_v_ip0)[0])), ((double)(((double *)__pyx_v_ip1)[0])), ((double)(((double *)__pyx_v_ip2)[0]))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 76, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":77
 *     for i in range(n):
 *         ov0 = (<double(*)(double, double, double) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0])
 *         (<double*>op0)[0] = <double>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((double *)__pyx_v_op0)[0]) = ((double)__pyx_v_ov0);

    /* "treams/special/_ufuncs.pyx":78
 *         ov0 = (<double(*)(double, double, double) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0])
 *         (<double*>op0)[0] = <double>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":79
 *         (<double*>op0)[0] = <double>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         op0 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":80
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         op0 += steps[3]
 * 
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":81
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         op0 += steps[3]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[3]));
  }

  /* "treams/special/_ufuncs.pyx":67
 * 
 * 
 * cdef void loop_d_ddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_d_ddd", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":84
 * 
 * 
 * cdef void loop_d_ldd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_d_ldd(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_op0;
  double __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  double __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":85
 * 
 * cdef void loop_d_ldd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":86
 * cdef void loop_d_ldd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":87
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":88
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *op0 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":89
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[3]
 *     cdef double ov0
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":90
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *op0 = args[3]             # <<<<<<<<<<<<<<
 *     cdef double ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":92
 *     cdef char *op0 = args[3]
 *     cdef double ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double(*)(long, double, double) nogil>func)(<long>(<long*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0])
 *         (<double*>op0)[0] = <double>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":93
 *     cdef double ov0
 *     for i in range(n):
 *         ov0 = (<double(*)(long, double, double) nogil>func)(<long>(<long*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0])             # <<<<<<<<<<<<<<
 *         (<double*>op0)[0] = <double>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((double (*)(long, double, double))__pyx_v_func)(((long)(((long *)__pyx_v_ip0)[0])), ((double)(((double *)__pyx_v_ip1)[0])), ((double)(((double *)__pyx_v_ip2)[0]))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 93, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":94
 *     for i in range(n):
 *         ov0 = (<double(*)(long, double, double) nogil>func)(<long>(<long*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0])
 *         (<double*>op0)[0] = <double>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((double *)__pyx_v_op0)[0]) = ((double)__pyx_v_ov0);

    /* "treams/special/_ufuncs.pyx":95
 *         ov0 = (<double(*)(long, double, double) nogil>func)(<long>(<long*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0])
 *         (<double*>op0)[0] = <double>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":96
 *         (<double*>op0)[0] = <double>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         op0 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":97
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         op0 += steps[3]
 * 
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":98
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         op0 += steps[3]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[3]));
  }

  /* "treams/special/_ufuncs.pyx":84
 * 
 * 
 * cdef void loop_d_ldd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_d_ldd", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":101
 * 
 * 
 * cdef void loop_D_lDD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_D_lDD(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_op0;
  __pyx_t_double_complex __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  __pyx_t_double_complex __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":102
 * 
 * cdef void loop_D_lDD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":103
 * cdef void loop_D_lDD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":104
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":105
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *op0 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":106
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[3]
 *     cdef double complex ov0
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":107
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *op0 = args[3]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":109
 *     cdef char *op0 = args[3]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(long, double complex, double complex) nogil>func)(<long>(<long*>ip0)[0], <double complex>(<double complex*>ip1)[0], <double complex>(<double complex*>ip2)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":110
 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, double complex, double complex) nogil>func)(<long>(<long*>ip0)[0], <double complex>(<double complex*>ip1)[0], <double complex>(<double complex*>ip2)[0])             # <<<<<<<<<<<<<<
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((__pyx_t_double_complex (*)(long, __pyx_t_double_complex, __pyx_t_double_complex))__pyx_v_func)(((long)(((long *)__pyx_v_ip0)[0])), __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL((((__pyx_t_double_complex *)__pyx_v_ip1)[0]))), ((double)__Pyx_CIMAG((((__pyx_t_double_complex *)__pyx_v_ip1)[0])))), __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL((((__pyx_t_double_complex *)__pyx_v_ip2)[0]))), ((double)__Pyx_CIMAG((((__pyx_t_double_complex *)__pyx_v_ip2)[0]))))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 110, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":111
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, double complex, double complex) nogil>func)(<long>(<long*>ip0)[0], <double complex>(<double complex*>ip1)[0], <double complex>(<double complex*>ip2)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((__pyx_t_double_complex *)__pyx_v_op0)[0]) = __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL(__pyx_v_ov0)), ((double)__Pyx_CIMAG(__pyx_v_ov0)));

    /* "treams/special/_ufuncs.pyx":112
 *         ov0 = (<double complex(*)(long, double complex, double complex) nogil>func)(<long>(<long*>ip0)[0], <double complex>(<double complex*>ip1)[0], <double complex>(<double complex*>ip2)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":113
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         op0 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":114
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         op0 += steps[3]
 * 
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":115
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         op0 += steps[3]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[3]));
  }

  /* "treams/special/_ufuncs.pyx":101
 * 
 * 
 * cdef void loop_D_lDD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_D_lDD", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":118
 * 
 * 
 * cdef void loop_D_ddD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_D_ddD(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_op0;
  __pyx_t_double_complex __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  __pyx_t_double_complex __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":119
 * 
 * cdef void loop_D_ddD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":120
 * cdef void loop_D_ddD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":121
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":122
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *op0 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":123
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[3]
 *     cdef double complex ov0
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":124
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *op0 = args[3]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":126
 *     cdef char *op0 = args[3]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(double, double, double complex) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double complex>(<double complex*>ip2)[0])
 *         (<double complex *>op0)[0] = <double complex>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":127
 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(double, double, double complex) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double complex>(<double complex*>ip2)[0])             # <<<<<<<<<<<<<<
 *         (<double complex *>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((__pyx_t_double_complex (*)(double, double, __pyx_t_double_complex))__pyx_v_func)(((double)(((double *)__pyx_v_ip0)[0])), ((double)(((double *)__pyx_v_ip1)[0])), __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL((((__pyx_t_double_complex *)__pyx_v_ip2)[0]))), ((double)__Pyx_CIMAG((((__pyx_t_double_complex *)__pyx_v_ip2)[0]))))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 127, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":128
 *     for i in range(n):
 *         ov0 = (<double complex(*)(double, double, double complex) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double complex>(<double complex*>ip2)[0])
 *         (<double complex *>op0)[0] = <double complex>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((__pyx_t_double_complex *)__pyx_v_op0)[0]) = __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL(__pyx_v_ov0)), ((double)__Pyx_CIMAG(__pyx_v_ov0)));

    /* "treams/special/_ufuncs.pyx":129
 *         ov0 = (<double complex(*)(double, double, double complex) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double complex>(<double complex*>ip2)[0])
 *         (<double complex *>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":130
 *         (<double complex *>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         op0 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":131
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         op0 += steps[3]
 * 
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":132
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         op0 += steps[3]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[3]));
  }

  /* "treams/special/_ufuncs.pyx":118
 * 
 * 
 * cdef void loop_D_ddD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_D_ddD", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":135
 * 
 * 
 * cdef void loop_d_llld(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_d_llld(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_ip3;
  char *__pyx_v_op0;
  double __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  double __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":136
 * 
 * cdef void loop_d_llld(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":137
 * cdef void loop_d_llld(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":138
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":139
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":140
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *ip3 = args[3]
 *     cdef char *op0 = args[4]
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":141
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[4]
 *     cdef double ov0
 */
  __pyx_v_ip3 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":142
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 *     cdef char *op0 = args[4]             # <<<<<<<<<<<<<<
 *     cdef double ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[4]);

  /* "treams/special/_ufuncs.pyx":144
 *     cdef char *op0 = args[4]
 *     cdef double ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double(*)(long, long, long, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double>(<double*>ip3)[0])
 *         (<double*>op0)[0] = <double>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":145
 *     cdef double ov0
 *     for i in range(n):
 *         ov0 = (<double(*)(long, long, long, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double>(<double*>ip3)[0])             # <<<<<<<<<<<<<<
 *         (<double*>op0)[0] = <double>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((double (*)(long, long, long, double))__pyx_v_func)(((long)(((long *)__pyx_v_ip0)[0])), ((long)(((long *)__pyx_v_ip1)[0])), ((long)(((long *)__pyx_v_ip2)[0])), ((double)(((double *)__pyx_v_ip3)[0]))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 145, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":146
 *     for i in range(n):
 *         ov0 = (<double(*)(long, long, long, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double>(<double*>ip3)[0])
 *         (<double*>op0)[0] = <double>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((double *)__pyx_v_op0)[0]) = ((double)__pyx_v_ov0);

    /* "treams/special/_ufuncs.pyx":147
 *         ov0 = (<double(*)(long, long, long, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double>(<double*>ip3)[0])
 *         (<double*>op0)[0] = <double>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":148
 *         (<double*>op0)[0] = <double>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":149
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         ip3 += steps[3]
 *         op0 += steps[4]
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":150
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         ip3 += steps[3]             # <<<<<<<<<<<<<<
 *         op0 += steps[4]
 * 
 */
    __pyx_v_ip3 = (__pyx_v_ip3 + (__pyx_v_steps[3]));

    /* "treams/special/_ufuncs.pyx":151
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 *         op0 += steps[4]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[4]));
  }

  /* "treams/special/_ufuncs.pyx":135
 * 
 * 
 * cdef void loop_d_llld(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_d_llld", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":154
 * 
 * 
 * cdef void loop_D_lllD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_D_lllD(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_ip3;
  char *__pyx_v_op0;
  __pyx_t_double_complex __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  __pyx_t_double_complex __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":155
 * 
 * cdef void loop_D_lllD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":156
 * cdef void loop_D_lllD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":157
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":158
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":159
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *ip3 = args[3]
 *     cdef char *op0 = args[4]
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":160
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[4]
 *     cdef double complex ov0
 */
  __pyx_v_ip3 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":161
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 *     cdef char *op0 = args[4]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[4]);

  /* "treams/special/_ufuncs.pyx":163
 *     cdef char *op0 = args[4]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(long, long, long, double complex) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double complex>(<double complex*>ip3)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":164
 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, double complex) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double complex>(<double complex*>ip3)[0])             # <<<<<<<<<<<<<<
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((__pyx_t_double_complex (*)(long, long, long, __pyx_t_double_complex))__pyx_v_func)(((long)(((long *)__pyx_v_ip0)[0])), ((long)(((long *)__pyx_v_ip1)[0])), ((long)(((long *)__pyx_v_ip2)[0])), __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL((((__pyx_t_double_complex *)__pyx_v_ip3)[0]))), ((double)__Pyx_CIMAG((((__pyx_t_double_complex *)__pyx_v_ip3)[0]))))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 164, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":165
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, double complex) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double complex>(<double complex*>ip3)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((__pyx_t_double_complex *)__pyx_v_op0)[0]) = __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL(__pyx_v_ov0)), ((double)__Pyx_CIMAG(__pyx_v_ov0)));

    /* "treams/special/_ufuncs.pyx":166
 *         ov0 = (<double complex(*)(long, long, long, double complex) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double complex>(<double complex*>ip3)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":167
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":168
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         ip3 += steps[3]
 *         op0 += steps[4]
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":169
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         ip3 += steps[3]             # <<<<<<<<<<<<<<
 *         op0 += steps[4]
 * 
 */
    __pyx_v_ip3 = (__pyx_v_ip3 + (__pyx_v_steps[3]));

    /* "treams/special/_ufuncs.pyx":170
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 *         op0 += steps[4]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[4]));
  }

  /* "treams/special/_ufuncs.pyx":154
 * 
 * 
 * cdef void loop_D_lllD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_D_lllD", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":173
 * 
 * 
 * cdef void loop_D_dddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_D_dddd(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_ip3;
  char *__pyx_v_op0;
  __pyx_t_double_complex __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  __pyx_t_double_complex __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":174
 * 
 * cdef void loop_D_dddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":175
 * cdef void loop_D_dddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":176
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":177
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":178
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *ip3 = args[3]
 *     cdef char *op0 = args[4]
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":179
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[4]
 *     cdef double complex ov0
 */
  __pyx_v_ip3 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":180
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 *     cdef char *op0 = args[4]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[4]);

  /* "treams/special/_ufuncs.pyx":182
 *     cdef char *op0 = args[4]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(double, double, double, double) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0], <double>(<double*>ip3)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":183
 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(double, double, double, double) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0], <double>(<double*>ip3)[0])             # <<<<<<<<<<<<<<
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((__pyx_t_double_complex (*)(double, double, double, double))__pyx_v_func)(((double)(((double *)__pyx_v_ip0)[0])), ((double)(((double *)__pyx_v_ip1)[0])), ((double)(((double *)__pyx_v_ip2)[0])), ((double)(((double *)__pyx_v_ip3)[0]))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 183, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":184
 *     for i in range(n):
 *         ov0 = (<double complex(*)(double, double, double, double) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0], <double>(<double*>ip3)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((__pyx_t_double_complex *)__pyx_v_op0)[0]) = __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL(__pyx_v_ov0)), ((double)__Pyx_CIMAG(__pyx_v_ov0)));

    /* "treams/special/_ufuncs.pyx":185
 *         ov0 = (<double complex(*)(double, double, double, double) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0], <double>(<double*>ip3)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":186
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":187
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         ip3 += steps[3]
 *         op0 += steps[4]
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":188
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         ip3 += steps[3]             # <<<<<<<<<<<<<<
 *         op0 += steps[4]
 * 
 */
    __pyx_v_ip3 = (__pyx_v_ip3 + (__pyx_v_steps[3]));

    /* "treams/special/_ufuncs.pyx":189
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 *         op0 += steps[4]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[4]));
  }

  /* "treams/special/_ufuncs.pyx":173
 * 
 * 
 * cdef void loop_D_dddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_D_dddd", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":192
 * 
 * 
 * cdef void loop_D_dddD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_D_dddD(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_ip3;
  char *__pyx_v_op0;
  __pyx_t_double_complex __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  __pyx_t_double_complex __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":193
 * 
 * cdef void loop_D_dddD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":194
 * cdef void loop_D_dddD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":195
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":196
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":197
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *ip3 = args[3]
 *     cdef char *op0 = args[4]
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":198
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[4]
 *     cdef double complex ov0
 */
  __pyx_v_ip3 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":199
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 *     cdef char *op0 = args[4]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[4]);

  /* "treams/special/_ufuncs.pyx":201
 *     cdef char *op0 = args[4]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(double, double, double, double complex) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0], <double complex>(<double complex*>ip3)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":202
 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(double, double, double, double complex) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0], <double complex>(<double complex*>ip3)[0])             # <<<<<<<<<<<<<<
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((__pyx_t_double_complex (*)(double, double, double, __pyx_t_double_complex))__pyx_v_func)(((double)(((double *)__pyx_v_ip0)[0])), ((double)(((double *)__pyx_v_ip1)[0])), ((double)(((double *)__pyx_v_ip2)[0])), __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL((((__pyx_t_double_complex *)__pyx_v_ip3)[0]))), ((double)__Pyx_CIMAG((((__pyx_t_double_complex *)__pyx_v_ip3)[0]))))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 202, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":203
 *     for i in range(n):
 *         ov0 = (<double complex(*)(double, double, double, double complex) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0], <double complex>(<double complex*>ip3)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((__pyx_t_double_complex *)__pyx_v_op0)[0]) = __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL(__pyx_v_ov0)), ((double)__Pyx_CIMAG(__pyx_v_ov0)));

    /* "treams/special/_ufuncs.pyx":204
 *         ov0 = (<double complex(*)(double, double, double, double complex) nogil>func)(<double>(<double*>ip0)[0], <double>(<double*>ip1)[0], <double>(<double*>ip2)[0], <double complex>(<double complex*>ip3)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":205
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":206
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         ip3 += steps[3]
 *         op0 += steps[4]
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":207
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         ip3 += steps[3]             # <<<<<<<<<<<<<<
 *         op0 += steps[4]
 * 
 */
    __pyx_v_ip3 = (__pyx_v_ip3 + (__pyx_v_steps[3]));

    /* "treams/special/_ufuncs.pyx":208
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 *         op0 += steps[4]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[4]));
  }

  /* "treams/special/_ufuncs.pyx":192
 * 
 * 
 * cdef void loop_D_dddD(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_D_dddD", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":211
 * 
 * 
 * cdef void loop_d_llllll(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_d_llllll(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_ip3;
  char *__pyx_v_ip4;
  char *__pyx_v_ip5;
  char *__pyx_v_op0;
  double __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  double __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":212
 * 
 * cdef void loop_d_llllll(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":213
 * cdef void loop_d_llllll(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":214
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":215
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":216
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":217
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]             # <<<<<<<<<<<<<<
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 */
  __pyx_v_ip3 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":218
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]             # <<<<<<<<<<<<<<
 *     cdef char *ip5 = args[5]
 *     cdef char *op0 = args[6]
 */
  __pyx_v_ip4 = (__pyx_v_args[4]);

  /* "treams/special/_ufuncs.pyx":219
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[6]
 *     cdef double ov0
 */
  __pyx_v_ip5 = (__pyx_v_args[5]);

  /* "treams/special/_ufuncs.pyx":220
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 *     cdef char *op0 = args[6]             # <<<<<<<<<<<<<<
 *     cdef double ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[6]);

  /* "treams/special/_ufuncs.pyx":222
 *     cdef char *op0 = args[6]
 *     cdef double ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double(*)(long, long, long, long, long, long) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <long>(<long*>ip4)[0], <long>(<long*>ip5)[0])
 *         (<double*>op0)[0] = <double>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":223
 *     cdef double ov0
 *     for i in range(n):
 *         ov0 = (<double(*)(long, long, long, long, long, long) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <long>(<long*>ip4)[0], <long>(<long*>ip5)[0])             # <<<<<<<<<<<<<<
 *         (<double*>op0)[0] = <double>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((double (*)(long, long, long, long, long, long))__pyx_v_func)(((long)(((long *)__pyx_v_ip0)[0])), ((long)(((long *)__pyx_v_ip1)[0])), ((long)(((long *)__pyx_v_ip2)[0])), ((long)(((long *)__pyx_v_ip3)[0])), ((long)(((long *)__pyx_v_ip4)[0])), ((long)(((long *)__pyx_v_ip5)[0]))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 223, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":224
 *     for i in range(n):
 *         ov0 = (<double(*)(long, long, long, long, long, long) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <long>(<long*>ip4)[0], <long>(<long*>ip5)[0])
 *         (<double*>op0)[0] = <double>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((double *)__pyx_v_op0)[0]) = ((double)__pyx_v_ov0);

    /* "treams/special/_ufuncs.pyx":225
 *         ov0 = (<double(*)(long, long, long, long, long, long) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <long>(<long*>ip4)[0], <long>(<long*>ip5)[0])
 *         (<double*>op0)[0] = <double>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":226
 *         (<double*>op0)[0] = <double>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":227
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":228
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         ip3 += steps[3]             # <<<<<<<<<<<<<<
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 */
    __pyx_v_ip3 = (__pyx_v_ip3 + (__pyx_v_steps[3]));

    /* "treams/special/_ufuncs.pyx":229
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 *         ip4 += steps[4]             # <<<<<<<<<<<<<<
 *         ip5 += steps[5]
 *         op0 += steps[6]
 */
    __pyx_v_ip4 = (__pyx_v_ip4 + (__pyx_v_steps[4]));

    /* "treams/special/_ufuncs.pyx":230
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 *         ip5 += steps[5]             # <<<<<<<<<<<<<<
 *         op0 += steps[6]
 * 
 */
    __pyx_v_ip5 = (__pyx_v_ip5 + (__pyx_v_steps[5]));

    /* "treams/special/_ufuncs.pyx":231
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 *         op0 += steps[6]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[6]));
  }

  /* "treams/special/_ufuncs.pyx":211
 * 
 * 
 * cdef void loop_d_llllll(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_d_llllll", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":234
 * 
 * 
 * cdef void loop_D_llllll(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_D_llllll(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_ip3;
  char *__pyx_v_ip4;
  char *__pyx_v_ip5;
  char *__pyx_v_op0;
  __pyx_t_double_complex __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  __pyx_t_double_complex __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":235
 * 
 * cdef void loop_D_llllll(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":236
 * cdef void loop_D_llllll(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":237
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":238
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":239
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":240
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]             # <<<<<<<<<<<<<<
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 */
  __pyx_v_ip3 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":241
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]             # <<<<<<<<<<<<<<
 *     cdef char *ip5 = args[5]
 *     cdef char *op0 = args[6]
 */
  __pyx_v_ip4 = (__pyx_v_args[4]);

  /* "treams/special/_ufuncs.pyx":242
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[6]
 *     cdef double complex ov0
 */
  __pyx_v_ip5 = (__pyx_v_args[5]);

  /* "treams/special/_ufuncs.pyx":243
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 *     cdef char *op0 = args[6]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[6]);

  /* "treams/special/_ufuncs.pyx":245
 *     cdef char *op0 = args[6]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(long, long, long, long, long, long) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <long>(<long*>ip4)[0], <long>(<long*>ip5)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":246
 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, long, long, long) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <long>(<long*>ip4)[0], <long>(<long*>ip5)[0])             # <<<<<<<<<<<<<<
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((__pyx_t_double_complex (*)(long, long, long, long, long, long))__pyx_v_func)(((long)(((long *)__pyx_v_ip0)[0])), ((long)(((long *)__pyx_v_ip1)[0])), ((long)(((long *)__pyx_v_ip2)[0])), ((long)(((long *)__pyx_v_ip3)[0])), ((long)(((long *)__pyx_v_ip4)[0])), ((long)(((long *)__pyx_v_ip5)[0]))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 246, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":247
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, long, long, long) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <long>(<long*>ip4)[0], <long>(<long*>ip5)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((__pyx_t_double_complex *)__pyx_v_op0)[0]) = __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL(__pyx_v_ov0)), ((double)__Pyx_CIMAG(__pyx_v_ov0)));

    /* "treams/special/_ufuncs.pyx":248
 *         ov0 = (<double complex(*)(long, long, long, long, long, long) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <long>(<long*>ip4)[0], <long>(<long*>ip5)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":249
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":250
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":251
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         ip3 += steps[3]             # <<<<<<<<<<<<<<
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 */
    __pyx_v_ip3 = (__pyx_v_ip3 + (__pyx_v_steps[3]));

    /* "treams/special/_ufuncs.pyx":252
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 *         ip4 += steps[4]             # <<<<<<<<<<<<<<
 *         ip5 += steps[5]
 *         op0 += steps[6]
 */
    __pyx_v_ip4 = (__pyx_v_ip4 + (__pyx_v_steps[4]));

    /* "treams/special/_ufuncs.pyx":253
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 *         ip5 += steps[5]             # <<<<<<<<<<<<<<
 *         op0 += steps[6]
 * 
 */
    __pyx_v_ip5 = (__pyx_v_ip5 + (__pyx_v_steps[5]));

    /* "treams/special/_ufuncs.pyx":254
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 *         op0 += steps[6]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[6]));
  }

  /* "treams/special/_ufuncs.pyx":234
 * 
 * 
 * cdef void loop_D_llllll(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_D_llllll", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":257
 * 
 * 
 * cdef void loop_D_lllddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_D_lllddd(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_ip3;
  char *__pyx_v_ip4;
  char *__pyx_v_ip5;
  char *__pyx_v_op0;
  __pyx_t_double_complex __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  __pyx_t_double_complex __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":258
 * 
 * cdef void loop_D_lllddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":259
 * cdef void loop_D_lllddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":260
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":261
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":262
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":263
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]             # <<<<<<<<<<<<<<
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 */
  __pyx_v_ip3 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":264
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]             # <<<<<<<<<<<<<<
 *     cdef char *ip5 = args[5]
 *     cdef char *op0 = args[6]
 */
  __pyx_v_ip4 = (__pyx_v_args[4]);

  /* "treams/special/_ufuncs.pyx":265
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[6]
 *     cdef double complex ov0
 */
  __pyx_v_ip5 = (__pyx_v_args[5]);

  /* "treams/special/_ufuncs.pyx":266
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 *     cdef char *op0 = args[6]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[6]);

  /* "treams/special/_ufuncs.pyx":268
 *     cdef char *op0 = args[6]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(long, long, long, double, double, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double>(<double*>ip3)[0], <double>(<double*>ip4)[0], <double>(<double*>ip5)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":269
 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, double, double, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double>(<double*>ip3)[0], <double>(<double*>ip4)[0], <double>(<double*>ip5)[0])             # <<<<<<<<<<<<<<
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((__pyx_t_double_complex (*)(long, long, long, double, double, double))__pyx_v_func)(((long)(((long *)__pyx_v_ip0)[0])), ((long)(((long *)__pyx_v_ip1)[0])), ((long)(((long *)__pyx_v_ip2)[0])), ((double)(((double *)__pyx_v_ip3)[0])), ((double)(((double *)__pyx_v_ip4)[0])), ((double)(((double *)__pyx_v_ip5)[0]))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 269, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":270
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, double, double, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double>(<double*>ip3)[0], <double>(<double*>ip4)[0], <double>(<double*>ip5)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((__pyx_t_double_complex *)__pyx_v_op0)[0]) = __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL(__pyx_v_ov0)), ((double)__Pyx_CIMAG(__pyx_v_ov0)));

    /* "treams/special/_ufuncs.pyx":271
 *         ov0 = (<double complex(*)(long, long, long, double, double, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double>(<double*>ip3)[0], <double>(<double*>ip4)[0], <double>(<double*>ip5)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":272
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":273
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":274
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         ip3 += steps[3]             # <<<<<<<<<<<<<<
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 */
    __pyx_v_ip3 = (__pyx_v_ip3 + (__pyx_v_steps[3]));

    /* "treams/special/_ufuncs.pyx":275
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 *         ip4 += steps[4]             # <<<<<<<<<<<<<<
 *         ip5 += steps[5]
 *         op0 += steps[6]
 */
    __pyx_v_ip4 = (__pyx_v_ip4 + (__pyx_v_steps[4]));

    /* "treams/special/_ufuncs.pyx":276
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 *         ip5 += steps[5]             # <<<<<<<<<<<<<<
 *         op0 += steps[6]
 * 
 */
    __pyx_v_ip5 = (__pyx_v_ip5 + (__pyx_v_steps[5]));

    /* "treams/special/_ufuncs.pyx":277
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 *         op0 += steps[6]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[6]));
  }

  /* "treams/special/_ufuncs.pyx":257
 * 
 * 
 * cdef void loop_D_lllddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_D_lllddd", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":280
 * 
 * 
 * cdef void loop_D_llldDd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_D_llldDd(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_ip3;
  char *__pyx_v_ip4;
  char *__pyx_v_ip5;
  char *__pyx_v_op0;
  __pyx_t_double_complex __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  __pyx_t_double_complex __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":281
 * 
 * cdef void loop_D_llldDd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":282
 * cdef void loop_D_llldDd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":283
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":284
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":285
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":286
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]             # <<<<<<<<<<<<<<
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 */
  __pyx_v_ip3 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":287
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]             # <<<<<<<<<<<<<<
 *     cdef char *ip5 = args[5]
 *     cdef char *op0 = args[6]
 */
  __pyx_v_ip4 = (__pyx_v_args[4]);

  /* "treams/special/_ufuncs.pyx":288
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[6]
 *     cdef double complex ov0
 */
  __pyx_v_ip5 = (__pyx_v_args[5]);

  /* "treams/special/_ufuncs.pyx":289
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 *     cdef char *op0 = args[6]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[6]);

  /* "treams/special/_ufuncs.pyx":291
 *     cdef char *op0 = args[6]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(long, long, long, double, double complex, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double>(<double*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double>(<double*>ip5)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":292
 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, double, double complex, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double>(<double*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double>(<double*>ip5)[0])             # <<<<<<<<<<<<<<
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((__pyx_t_double_complex (*)(long, long, long, double, __pyx_t_double_complex, double))__pyx_v_func)(((long)(((long *)__pyx_v_ip0)[0])), ((long)(((long *)__pyx_v_ip1)[0])), ((long)(((long *)__pyx_v_ip2)[0])), ((double)(((double *)__pyx_v_ip3)[0])), __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL((((__pyx_t_double_complex *)__pyx_v_ip4)[0]))), ((double)__Pyx_CIMAG((((__pyx_t_double_complex *)__pyx_v_ip4)[0])))), ((double)(((double *)__pyx_v_ip5)[0]))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 292, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":293
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, double, double complex, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double>(<double*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double>(<double*>ip5)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((__pyx_t_double_complex *)__pyx_v_op0)[0]) = __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL(__pyx_v_ov0)), ((double)__Pyx_CIMAG(__pyx_v_ov0)));

    /* "treams/special/_ufuncs.pyx":294
 *         ov0 = (<double complex(*)(long, long, long, double, double complex, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <double>(<double*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double>(<double*>ip5)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":295
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":296
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":297
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         ip3 += steps[3]             # <<<<<<<<<<<<<<
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 */
    __pyx_v_ip3 = (__pyx_v_ip3 + (__pyx_v_steps[3]));

    /* "treams/special/_ufuncs.pyx":298
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 *         ip4 += steps[4]             # <<<<<<<<<<<<<<
 *         ip5 += steps[5]
 *         op0 += steps[6]
 */
    __pyx_v_ip4 = (__pyx_v_ip4 + (__pyx_v_steps[4]));

    /* "treams/special/_ufuncs.pyx":299
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 *         ip5 += steps[5]             # <<<<<<<<<<<<<<
 *         op0 += steps[6]
 * 
 */
    __pyx_v_ip5 = (__pyx_v_ip5 + (__pyx_v_steps[5]));

    /* "treams/special/_ufuncs.pyx":300
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 *         op0 += steps[6]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[6]));
  }

  /* "treams/special/_ufuncs.pyx":280
 * 
 * 
 * cdef void loop_D_llldDd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_D_llldDd", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":303
 * 
 * 
 * cdef void loop_D_llllddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_D_llllddd(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_ip3;
  char *__pyx_v_ip4;
  char *__pyx_v_ip5;
  char *__pyx_v_ip6;
  char *__pyx_v_op0;
  __pyx_t_double_complex __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  __pyx_t_double_complex __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":304
 * 
 * cdef void loop_D_llllddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":305
 * cdef void loop_D_llllddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":306
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":307
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":308
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":309
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]             # <<<<<<<<<<<<<<
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 */
  __pyx_v_ip3 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":310
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]             # <<<<<<<<<<<<<<
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]
 */
  __pyx_v_ip4 = (__pyx_v_args[4]);

  /* "treams/special/_ufuncs.pyx":311
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]             # <<<<<<<<<<<<<<
 *     cdef char *ip6 = args[6]
 *     cdef char *op0 = args[7]
 */
  __pyx_v_ip5 = (__pyx_v_args[5]);

  /* "treams/special/_ufuncs.pyx":312
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[7]
 *     cdef double complex ov0
 */
  __pyx_v_ip6 = (__pyx_v_args[6]);

  /* "treams/special/_ufuncs.pyx":313
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]
 *     cdef char *op0 = args[7]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[7]);

  /* "treams/special/_ufuncs.pyx":315
 *     cdef char *op0 = args[7]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(long, long, long, long, double, double, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <double>(<double*>ip4)[0], <double>(<double*>ip5)[0], <double>(<double*>ip6)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":316
 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, long, double, double, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <double>(<double*>ip4)[0], <double>(<double*>ip5)[0], <double>(<double*>ip6)[0])             # <<<<<<<<<<<<<<
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((__pyx_t_double_complex (*)(long, long, long, long, double, double, double))__pyx_v_func)(((long)(((long *)__pyx_v_ip0)[0])), ((long)(((long *)__pyx_v_ip1)[0])), ((long)(((long *)__pyx_v_ip2)[0])), ((long)(((long *)__pyx_v_ip3)[0])), ((double)(((double *)__pyx_v_ip4)[0])), ((double)(((double *)__pyx_v_ip5)[0])), ((double)(((double *)__pyx_v_ip6)[0]))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 316, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":317
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, long, double, double, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <double>(<double*>ip4)[0], <double>(<double*>ip5)[0], <double>(<double*>ip6)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((__pyx_t_double_complex *)__pyx_v_op0)[0]) = __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL(__pyx_v_ov0)), ((double)__Pyx_CIMAG(__pyx_v_ov0)));

    /* "treams/special/_ufuncs.pyx":318
 *         ov0 = (<double complex(*)(long, long, long, long, double, double, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <double>(<double*>ip4)[0], <double>(<double*>ip5)[0], <double>(<double*>ip6)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":319
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":320
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":321
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         ip3 += steps[3]             # <<<<<<<<<<<<<<
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 */
    __pyx_v_ip3 = (__pyx_v_ip3 + (__pyx_v_steps[3]));

    /* "treams/special/_ufuncs.pyx":322
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 *         ip4 += steps[4]             # <<<<<<<<<<<<<<
 *         ip5 += steps[5]
 *         ip6 += steps[6]
 */
    __pyx_v_ip4 = (__pyx_v_ip4 + (__pyx_v_steps[4]));

    /* "treams/special/_ufuncs.pyx":323
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 *         ip5 += steps[5]             # <<<<<<<<<<<<<<
 *         ip6 += steps[6]
 *         op0 += steps[7]
 */
    __pyx_v_ip5 = (__pyx_v_ip5 + (__pyx_v_steps[5]));

    /* "treams/special/_ufuncs.pyx":324
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 *         ip6 += steps[6]             # <<<<<<<<<<<<<<
 *         op0 += steps[7]
 * 
 */
    __pyx_v_ip6 = (__pyx_v_ip6 + (__pyx_v_steps[6]));

    /* "treams/special/_ufuncs.pyx":325
 *         ip5 += steps[5]
 *         ip6 += steps[6]
 *         op0 += steps[7]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[7]));
  }

  /* "treams/special/_ufuncs.pyx":303
 * 
 * 
 * cdef void loop_D_llllddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_D_llllddd", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":328
 * 
 * 
 * cdef void loop_D_llllDdd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_D_llllDdd(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_ip3;
  char *__pyx_v_ip4;
  char *__pyx_v_ip5;
  char *__pyx_v_ip6;
  char *__pyx_v_op0;
  __pyx_t_double_complex __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  __pyx_t_double_complex __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":329
 * 
 * cdef void loop_D_llllDdd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":330
 * cdef void loop_D_llllDdd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":331
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":332
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":333
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":334
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]             # <<<<<<<<<<<<<<
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 */
  __pyx_v_ip3 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":335
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]             # <<<<<<<<<<<<<<
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]
 */
  __pyx_v_ip4 = (__pyx_v_args[4]);

  /* "treams/special/_ufuncs.pyx":336
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]             # <<<<<<<<<<<<<<
 *     cdef char *ip6 = args[6]
 *     cdef char *op0 = args[7]
 */
  __pyx_v_ip5 = (__pyx_v_args[5]);

  /* "treams/special/_ufuncs.pyx":337
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[7]
 *     cdef double complex ov0
 */
  __pyx_v_ip6 = (__pyx_v_args[6]);

  /* "treams/special/_ufuncs.pyx":338
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]
 *     cdef char *op0 = args[7]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[7]);

  /* "treams/special/_ufuncs.pyx":340
 *     cdef char *op0 = args[7]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(long, long, long, long, double complex, double, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double>(<double*>ip5)[0], <double>(<double*>ip6)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":341
 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, long, double complex, double, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double>(<double*>ip5)[0], <double>(<double*>ip6)[0])             # <<<<<<<<<<<<<<
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((__pyx_t_double_complex (*)(long, long, long, long, __pyx_t_double_complex, double, double))__pyx_v_func)(((long)(((long *)__pyx_v_ip0)[0])), ((long)(((long *)__pyx_v_ip1)[0])), ((long)(((long *)__pyx_v_ip2)[0])), ((long)(((long *)__pyx_v_ip3)[0])), __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL((((__pyx_t_double_complex *)__pyx_v_ip4)[0]))), ((double)__Pyx_CIMAG((((__pyx_t_double_complex *)__pyx_v_ip4)[0])))), ((double)(((double *)__pyx_v_ip5)[0])), ((double)(((double *)__pyx_v_ip6)[0]))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 341, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":342
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, long, double complex, double, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double>(<double*>ip5)[0], <double>(<double*>ip6)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((__pyx_t_double_complex *)__pyx_v_op0)[0]) = __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL(__pyx_v_ov0)), ((double)__Pyx_CIMAG(__pyx_v_ov0)));

    /* "treams/special/_ufuncs.pyx":343
 *         ov0 = (<double complex(*)(long, long, long, long, double complex, double, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double>(<double*>ip5)[0], <double>(<double*>ip6)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":344
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":345
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":346
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         ip3 += steps[3]             # <<<<<<<<<<<<<<
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 */
    __pyx_v_ip3 = (__pyx_v_ip3 + (__pyx_v_steps[3]));

    /* "treams/special/_ufuncs.pyx":347
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 *         ip4 += steps[4]             # <<<<<<<<<<<<<<
 *         ip5 += steps[5]
 *         ip6 += steps[6]
 */
    __pyx_v_ip4 = (__pyx_v_ip4 + (__pyx_v_steps[4]));

    /* "treams/special/_ufuncs.pyx":348
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 *         ip5 += steps[5]             # <<<<<<<<<<<<<<
 *         ip6 += steps[6]
 *         op0 += steps[7]
 */
    __pyx_v_ip5 = (__pyx_v_ip5 + (__pyx_v_steps[5]));

    /* "treams/special/_ufuncs.pyx":349
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 *         ip6 += steps[6]             # <<<<<<<<<<<<<<
 *         op0 += steps[7]
 * 
 */
    __pyx_v_ip6 = (__pyx_v_ip6 + (__pyx_v_steps[6]));

    /* "treams/special/_ufuncs.pyx":350
 *         ip5 += steps[5]
 *         ip6 += steps[6]
 *         op0 += steps[7]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[7]));
  }

  /* "treams/special/_ufuncs.pyx":328
 * 
 * 
 * cdef void loop_D_llllDdd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_D_llllDdd", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":353
 * 
 * 
 * cdef void loop_D_llllDDd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_D_llllDDd(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_ip3;
  char *__pyx_v_ip4;
  char *__pyx_v_ip5;
  char *__pyx_v_ip6;
  char *__pyx_v_op0;
  __pyx_t_double_complex __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  __pyx_t_double_complex __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":354
 * 
 * cdef void loop_D_llllDDd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":355
 * cdef void loop_D_llllDDd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":356
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":357
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":358
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":359
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]             # <<<<<<<<<<<<<<
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 */
  __pyx_v_ip3 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":360
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]             # <<<<<<<<<<<<<<
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]
 */
  __pyx_v_ip4 = (__pyx_v_args[4]);

  /* "treams/special/_ufuncs.pyx":361
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]             # <<<<<<<<<<<<<<
 *     cdef char *ip6 = args[6]
 *     cdef char *op0 = args[7]
 */
  __pyx_v_ip5 = (__pyx_v_args[5]);

  /* "treams/special/_ufuncs.pyx":362
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[7]
 *     cdef double complex ov0
 */
  __pyx_v_ip6 = (__pyx_v_args[6]);

  /* "treams/special/_ufuncs.pyx":363
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]
 *     cdef char *op0 = args[7]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[7]);

  /* "treams/special/_ufuncs.pyx":365
 *     cdef char *op0 = args[7]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(long, long, long, long, double complex, double complex, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double complex>(<double complex*>ip5)[0], <double>(<double*>ip6)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":366
 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, long, double complex, double complex, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double complex>(<double complex*>ip5)[0], <double>(<double*>ip6)[0])             # <<<<<<<<<<<<<<
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 */
    __pyx_t_4 = ((__pyx_t_double_complex (*)(long, long, long, long, __pyx_t_double_complex, __pyx_t_double_complex, double))__pyx_v_func)(((long)(((long *)__pyx_v_ip0)[0])), ((long)(((long *)__pyx_v_ip1)[0])), ((long)(((long *)__pyx_v_ip2)[0])), ((long)(((long *)__pyx_v_ip3)[0])), __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL((((__pyx_t_double_complex *)__pyx_v_ip4)[0]))), ((double)__Pyx_CIMAG((((__pyx_t_double_complex *)__pyx_v_ip4)[0])))), __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL((((__pyx_t_double_complex *)__pyx_v_ip5)[0]))), ((double)__Pyx_CIMAG((((__pyx_t_double_complex *)__pyx_v_ip5)[0])))), ((double)(((double *)__pyx_v_ip6)[0]))); if (unlikely(__Pyx_ErrOccurredWithGIL())) __PYX_ERR(0, 366, __pyx_L1_error)
    __pyx_v_ov0 = __pyx_t_4;

    /* "treams/special/_ufuncs.pyx":367
 *     for i in range(n):
 *         ov0 = (<double complex(*)(long, long, long, long, double complex, double complex, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double complex>(<double complex*>ip5)[0], <double>(<double*>ip6)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0             # <<<<<<<<<<<<<<
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 */
    (((__pyx_t_double_complex *)__pyx_v_op0)[0]) = __pyx_t_double_complex_from_parts(((double)__Pyx_CREAL(__pyx_v_ov0)), ((double)__Pyx_CIMAG(__pyx_v_ov0)));

    /* "treams/special/_ufuncs.pyx":368
 *         ov0 = (<double complex(*)(long, long, long, long, double complex, double complex, double) nogil>func)(<long>(<long*>ip0)[0], <long>(<long*>ip1)[0], <long>(<long*>ip2)[0], <long>(<long*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double complex>(<double complex*>ip5)[0], <double>(<double*>ip6)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
    __pyx_v_ip0 = (__pyx_v_ip0 + (__pyx_v_steps[0]));

    /* "treams/special/_ufuncs.pyx":369
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 */
    __pyx_v_ip1 = (__pyx_v_ip1 + (__pyx_v_steps[1]));

    /* "treams/special/_ufuncs.pyx":370
 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 */
    __pyx_v_ip2 = (__pyx_v_ip2 + (__pyx_v_steps[2]));

    /* "treams/special/_ufuncs.pyx":371
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         ip3 += steps[3]             # <<<<<<<<<<<<<<
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 */
    __pyx_v_ip3 = (__pyx_v_ip3 + (__pyx_v_steps[3]));

    /* "treams/special/_ufuncs.pyx":372
 *         ip2 += steps[2]
 *         ip3 += steps[3]
 *         ip4 += steps[4]             # <<<<<<<<<<<<<<
 *         ip5 += steps[5]
 *         ip6 += steps[6]
 */
    __pyx_v_ip4 = (__pyx_v_ip4 + (__pyx_v_steps[4]));

    /* "treams/special/_ufuncs.pyx":373
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 *         ip5 += steps[5]             # <<<<<<<<<<<<<<
 *         ip6 += steps[6]
 *         op0 += steps[7]
 */
    __pyx_v_ip5 = (__pyx_v_ip5 + (__pyx_v_steps[5]));

    /* "treams/special/_ufuncs.pyx":374
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 *         ip6 += steps[6]             # <<<<<<<<<<<<<<
 *         op0 += steps[7]
 * 
 */
    __pyx_v_ip6 = (__pyx_v_ip6 + (__pyx_v_steps[6]));

    /* "treams/special/_ufuncs.pyx":375
 *         ip5 += steps[5]
 *         ip6 += steps[6]
 *         op0 += steps[7]             # <<<<<<<<<<<<<<
 * 
 * 
 */
    __pyx_v_op0 = (__pyx_v_op0 + (__pyx_v_steps[7]));
  }

  /* "treams/special/_ufuncs.pyx":353
 * 
 * 
 * cdef void loop_D_llllDDd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

  /* function exit code */
  goto __pyx_L0;
  __pyx_L1_error:;
  #ifdef WITH_THREAD
  __pyx_gilstate_save = __Pyx_PyGILState_Ensure();
  #endif
  __Pyx_AddTraceback("treams.special._ufuncs.loop_D_llllDDd", __pyx_clineno, __pyx_lineno, __pyx_filename);
  #ifdef WITH_THREAD
  __Pyx_PyGILState_Release(__pyx_gilstate_save);
  #endif
  __pyx_L0:;
}

/* "treams/special/_ufuncs.pyx":378
 * 
 * 
 * cdef void loop_D_dldlddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 */

static void __pyx_f_6treams_7special_7_ufuncs_loop_D_dldlddd(char **__pyx_v_args, npy_intp *__pyx_v_dims, npy_intp *__pyx_v_steps, void *__pyx_v_data) {
  CYTHON_UNUSED npy_intp __pyx_v_i;
  npy_intp __pyx_v_n;
  void *__pyx_v_func;
  char *__pyx_v_ip0;
  char *__pyx_v_ip1;
  char *__pyx_v_ip2;
  char *__pyx_v_ip3;
  char *__pyx_v_ip4;
  char *__pyx_v_ip5;
  char *__pyx_v_ip6;
  char *__pyx_v_op0;
  __pyx_t_double_complex __pyx_v_ov0;
  npy_intp __pyx_t_1;
  npy_intp __pyx_t_2;
  npy_intp __pyx_t_3;
  __pyx_t_double_complex __pyx_t_4;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
  int __pyx_clineno = 0;
  #ifdef WITH_THREAD
  PyGILState_STATE __pyx_gilstate_save;
  #endif

  /* "treams/special/_ufuncs.pyx":379
 * 
 * cdef void loop_D_dldlddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 */
  __pyx_v_n = (__pyx_v_dims[0]);

  /* "treams/special/_ufuncs.pyx":380
 * cdef void loop_D_dldlddd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 */
  __pyx_v_func = ((void *)__pyx_v_data);

  /* "treams/special/_ufuncs.pyx":381
 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
  __pyx_v_ip0 = (__pyx_v_args[0]);

  /* "treams/special/_ufuncs.pyx":382
 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 */
  __pyx_v_ip1 = (__pyx_v_args[1]);

  /* "treams/special/_ufuncs.pyx":383
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 */
  __pyx_v_ip2 = (__pyx_v_args[2]);

  /* "treams/special/_ufuncs.pyx":384
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]             # <<<<<<<<<<<<<<
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 */
  __pyx_v_ip3 = (__pyx_v_args[3]);

  /* "treams/special/_ufuncs.pyx":385
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]             # <<<<<<<<<<<<<<
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]
 */
  __pyx_v_ip4 = (__pyx_v_args[4]);

  /* "treams/special/_ufuncs.pyx":386
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]             # <<<<<<<<<<<<<<
 *     cdef char *ip6 = args[6]
 *     cdef char *op0 = args[7]
 */
  __pyx_v_ip5 = (__pyx_v_args[5]);

  /* "treams/special/_ufuncs.pyx":387
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[7]
 *     cdef double complex ov0
 */
  __pyx_v_ip6 = (__pyx_v_args[6]);

  /* "treams/special/_ufuncs.pyx":388
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]
 *     cdef char *op0 = args[7]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
  __pyx_v_op0 = (__pyx_v_args[7]);

  /* "treams/special/_ufuncs.pyx":390
 *     cdef char *op0 = args[7]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(double, long, double, long, double, double, double) nogil>func)(<double>(<double*>ip0)[0], <long>(<long*>ip1)[0], <double>(<double*>ip2)[0], <long>(<long*>ip3)[0], <double>(<double*>ip4)[0], <double>(<double*>ip5)[0], <double>(<double*>ip6)[0])
 *         (<double complex*>op0)[0] = <double complex>ov0
 */
  __pyx_t_1 = __pyx_v_n;
  __pyx_t_2 = __pyx_t_1;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "treams/special/_ufuncs.pyx":391
 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(double, long, double, long, double, double, double) nogil>func)(<double>(<double*>ip0)[0], <long>(<long*>ip1)[0], <double>(<double*>ip2)[0], <long>(<long*>ip3)[0], <double>(<double*>ip4)[0], <double>(<double*>ip5)[0], <double>(<double*>ip6)[0])             # <<<<<<<<<<<<<<
 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]
 */
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 *         ip1 += steps[1]
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 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
 */
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 *         ip1 += steps[1]             # <<<<<<<<<<<<<<
 *         ip2 += steps[2]
 *         ip3 += steps[3]
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 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         ip3 += steps[3]
 *         ip4 += steps[4]
 */
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 *         ip2 += steps[2]
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 *         ip5 += steps[5]
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 *         ip3 += steps[3]
 *         ip4 += steps[4]             # <<<<<<<<<<<<<<
 *         ip5 += steps[5]
 *         ip6 += steps[6]
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 *         ip4 += steps[4]
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 *         ip6 += steps[6]
 *         op0 += steps[7]
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 *         ip5 += steps[5]
 *         ip6 += steps[6]             # <<<<<<<<<<<<<<
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 */
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 *     cdef np.npy_intp i, n = dims[0]             # <<<<<<<<<<<<<<
 *     cdef void *func = <void*>data
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 */
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 *     cdef np.npy_intp i, n = dims[0]
 *     cdef void *func = <void*>data             # <<<<<<<<<<<<<<
 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
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 *     cdef void *func = <void*>data
 *     cdef char *ip0 = args[0]             # <<<<<<<<<<<<<<
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]
 */
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 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]             # <<<<<<<<<<<<<<
 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 */
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 *     cdef char *ip0 = args[0]
 *     cdef char *ip1 = args[1]
 *     cdef char *ip2 = args[2]             # <<<<<<<<<<<<<<
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 */
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 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]             # <<<<<<<<<<<<<<
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 */
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 *     cdef char *ip2 = args[2]
 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]             # <<<<<<<<<<<<<<
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]
 */
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 *     cdef char *ip3 = args[3]
 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]             # <<<<<<<<<<<<<<
 *     cdef char *ip6 = args[6]
 *     cdef char *op0 = args[7]
 */
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 *     cdef char *ip4 = args[4]
 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]             # <<<<<<<<<<<<<<
 *     cdef char *op0 = args[7]
 *     cdef double complex ov0
 */
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 *     cdef char *ip5 = args[5]
 *     cdef char *ip6 = args[6]
 *     cdef char *op0 = args[7]             # <<<<<<<<<<<<<<
 *     cdef double complex ov0
 *     for i in range(n):
 */
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 *     cdef char *op0 = args[7]
 *     cdef double complex ov0
 *     for i in range(n):             # <<<<<<<<<<<<<<
 *         ov0 = (<double complex(*)(double, long, double, long, double complex, double, double) nogil>func)(<double>(<double*>ip0)[0], <long>(<long*>ip1)[0], <double>(<double*>ip2)[0], <long>(<long*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double>(<double*>ip5)[0], <double>(<double*>ip6)[0])
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 *     cdef double complex ov0
 *     for i in range(n):
 *         ov0 = (<double complex(*)(double, long, double, long, double complex, double, double) nogil>func)(<double>(<double*>ip0)[0], <long>(<long*>ip1)[0], <double>(<double*>ip2)[0], <long>(<long*>ip3)[0], <double complex>(<double complex*>ip4)[0], <double>(<double*>ip5)[0], <double>(<double*>ip6)[0])             # <<<<<<<<<<<<<<
 *         (<double complex*>op0)[0] = <double complex>ov0
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 *         ip1 += steps[1]
 */
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 *         (<double complex*>op0)[0] = <double complex>ov0
 *         ip0 += steps[0]             # <<<<<<<<<<<<<<
 *         ip1 += steps[1]
 *         ip2 += steps[2]
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 *         ip0 += steps[0]
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 *         ip0 += steps[0]
 *         ip1 += steps[1]
 *         ip2 += steps[2]             # <<<<<<<<<<<<<<
 *         ip3 += steps[3]
 *         ip4 += steps[4]
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 *         ip1 += steps[1]
 *         ip2 += steps[2]
 *         ip3 += steps[3]             # <<<<<<<<<<<<<<
 *         ip4 += steps[4]
 *         ip5 += steps[5]
 */
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 *         ip2 += steps[2]
 *         ip3 += steps[3]
 *         ip4 += steps[4]             # <<<<<<<<<<<<<<
 *         ip5 += steps[5]
 *         ip6 += steps[6]
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 *         ip4 += steps[4]
 *         ip5 += steps[5]             # <<<<<<<<<<<<<<
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 *         ip5 += steps[5]
 *         ip6 += steps[6]             # <<<<<<<<<<<<<<
 *         op0 += steps[7]
 * 
 */
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 *         ip5 += steps[5]
 *         ip6 += steps[6]
 *         op0 += steps[7]             # <<<<<<<<<<<<<<
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 * 
 */
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 * 
 * cdef void loop_D_dldlDdd(char **args, np.npy_intp *dims, np.npy_intp *steps, void *data) nogil:             # <<<<<<<<<<<<<<
 *     cdef np.npy_intp i, n = dims[0]
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 */

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 * ufunc_lpmv_loops[0] = <np.PyUFuncGenericFunction>loop_d_ddd
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 * ufunc_lpmv_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
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 * ufunc_lpmv_types[2] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
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 * ufunc_lpmv_types[3] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
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 * ufunc_lpmv_types[3] = <char>np.NPY_DOUBLE
 * ufunc_lpmv_types[4] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_lpmv_types[5] = <char>np.NPY_DOUBLE
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 */
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 * ufunc_lpmv_types[4] = <char>np.NPY_DOUBLE
 * ufunc_lpmv_types[5] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_lpmv_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_lpmv_types[7] = <char>np.NPY_CDOUBLE
 */
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 * ufunc_lpmv_types[5] = <char>np.NPY_DOUBLE
 * ufunc_lpmv_types[6] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_lpmv_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_lpmv_data[0] = <void*>_waves.lpmv[double]
 */
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 * ufunc_lpmv_types[5] = <char>np.NPY_DOUBLE
 * ufunc_lpmv_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_lpmv_types[7] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_lpmv_data[0] = <void*>_waves.lpmv[double]
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 */
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 * ufunc_lpmv_data[0] = <void*>_waves.lpmv[double]             # <<<<<<<<<<<<<<
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 * 
 */
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 * ufunc_lpmv_types[7] = <char>np.NPY_CDOUBLE
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 * ufunc_lpmv_data[1] = <void*>_waves.lpmv[double_complex]             # <<<<<<<<<<<<<<
 * 
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 */
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 * ufunc_lpmv_data[1] = <void*>_waves.lpmv[double_complex]
 * 
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 */
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 * 
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 * ufunc_sph_harm_loops[1] = <np.PyUFuncGenericFunction>loop_D_dddD             # <<<<<<<<<<<<<<
 * ufunc_sph_harm_types[0] = <char>np.NPY_DOUBLE
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 * ufunc_sph_harm_types[1] = <char>np.NPY_DOUBLE
 * ufunc_sph_harm_types[2] = <char>np.NPY_DOUBLE
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 * ufunc_sph_harm_types[1] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_sph_harm_types[2] = <char>np.NPY_DOUBLE
 * ufunc_sph_harm_types[3] = <char>np.NPY_DOUBLE
 */
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 * ufunc_sph_harm_types[2] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_sph_harm_types[3] = <char>np.NPY_DOUBLE
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 * ufunc_sph_harm_types[3] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
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 * ufunc_sph_harm_types[5] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
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 * ufunc_sph_harm_types[7] = <char>np.NPY_DOUBLE
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  /* "treams/special/_ufuncs.pyx":510
 * ufunc_sph_harm_types[6] = <char>np.NPY_DOUBLE
 * ufunc_sph_harm_types[7] = <char>np.NPY_DOUBLE
 * ufunc_sph_harm_types[8] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_sph_harm_types[9] = <char>np.NPY_CDOUBLE
 * ufunc_sph_harm_data[0] = <void*>cs.sph_harm[double]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_sph_harm_types[8]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":511
 * ufunc_sph_harm_types[7] = <char>np.NPY_DOUBLE
 * ufunc_sph_harm_types[8] = <char>np.NPY_CDOUBLE
 * ufunc_sph_harm_types[9] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_sph_harm_data[0] = <void*>cs.sph_harm[double]
 * ufunc_sph_harm_data[1] = <void*>_waves.csph_harm
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_sph_harm_types[9]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":512
 * ufunc_sph_harm_types[8] = <char>np.NPY_CDOUBLE
 * ufunc_sph_harm_types[9] = <char>np.NPY_CDOUBLE
 * ufunc_sph_harm_data[0] = <void*>cs.sph_harm[double]             # <<<<<<<<<<<<<<
 * ufunc_sph_harm_data[1] = <void*>_waves.csph_harm
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_sph_harm_data[0]) = ((void *)__pyx_fuse_0__pyx_f_5scipy_7special_14cython_special_sph_harm);

  /* "treams/special/_ufuncs.pyx":513
 * ufunc_sph_harm_types[9] = <char>np.NPY_CDOUBLE
 * ufunc_sph_harm_data[0] = <void*>cs.sph_harm[double]
 * ufunc_sph_harm_data[1] = <void*>_waves.csph_harm             # <<<<<<<<<<<<<<
 * 
 * sph_harm = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_sph_harm_data[1]) = ((void *)__pyx_f_6treams_7special_6_waves_csph_harm);

  /* "treams/special/_ufuncs.pyx":515
 * ufunc_sph_harm_data[1] = <void*>_waves.csph_harm
 * 
 * sph_harm = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_sph_harm_loops,
 *     ufunc_sph_harm_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_sph_harm_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_sph_harm_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_sph_harm_types, 2, 4, 1, 0, ((char *)"sph_harm"), ((char *)"sph_harm(m, l, phi, theta)\n\nSpherical harmonics of real and complex argument\n\nWarning:\n    In order to stay consistent with Scipy, the order of the arguments is kept the\n    same. For most other functions, the postion of degree and order are swapped.\n\nFor complex argument the spherical harmonics are computed with\n\n.. math::\n\n    Y_{lm}(\\theta, \\varphi) = \\sqrt{\\frac{2l + 1}{4\\pi}\\frac{(l - m)!}{(l + m)!}}\n    P_l^m(\\cos\\theta) \\mathrm e^{\\mathrm i m \\varphi}\n\nfor real arguments :py:data:`scipy.special.sph_harm` is used.\n\nArgs:\n    m (integer, array_like): Order\n    l (integer, array_like): Degree, non-negative\n    phi (float or complex, array_like): Azimuthal angle\n    theta (float or complex, array_like): Polar angle\n\nReturns:\n    complex\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 515, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_sph_harm, __pyx_t_2) < 0) __PYX_ERR(0, 515, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":558
 * cdef char ufunc_incgamma_types[2 * 3]
 * 
 * ufunc_incgamma_loops[0] = <np.PyUFuncGenericFunction>loop_d_dd             # <<<<<<<<<<<<<<
 * ufunc_incgamma_loops[1] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_incgamma_types[0] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_d_dd);

  /* "treams/special/_ufuncs.pyx":559
 * 
 * ufunc_incgamma_loops[0] = <np.PyUFuncGenericFunction>loop_d_dd
 * ufunc_incgamma_loops[1] = <np.PyUFuncGenericFunction>loop_D_dD             # <<<<<<<<<<<<<<
 * ufunc_incgamma_types[0] = <char>np.NPY_DOUBLE
 * ufunc_incgamma_types[1] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_loops[1]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_dD);

  /* "treams/special/_ufuncs.pyx":560
 * ufunc_incgamma_loops[0] = <np.PyUFuncGenericFunction>loop_d_dd
 * ufunc_incgamma_loops[1] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_incgamma_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_incgamma_types[1] = <char>np.NPY_DOUBLE
 * ufunc_incgamma_types[2] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_types[0]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":561
 * ufunc_incgamma_loops[1] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_incgamma_types[0] = <char>np.NPY_DOUBLE
 * ufunc_incgamma_types[1] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_incgamma_types[2] = <char>np.NPY_DOUBLE
 * ufunc_incgamma_types[3] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_types[1]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":562
 * ufunc_incgamma_types[0] = <char>np.NPY_DOUBLE
 * ufunc_incgamma_types[1] = <char>np.NPY_DOUBLE
 * ufunc_incgamma_types[2] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_incgamma_types[3] = <char>np.NPY_DOUBLE
 * ufunc_incgamma_types[4] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_types[2]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":563
 * ufunc_incgamma_types[1] = <char>np.NPY_DOUBLE
 * ufunc_incgamma_types[2] = <char>np.NPY_DOUBLE
 * ufunc_incgamma_types[3] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_incgamma_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_incgamma_types[5] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_types[3]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":564
 * ufunc_incgamma_types[2] = <char>np.NPY_DOUBLE
 * ufunc_incgamma_types[3] = <char>np.NPY_DOUBLE
 * ufunc_incgamma_types[4] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_incgamma_types[5] = <char>np.NPY_CDOUBLE
 * ufunc_incgamma_data[0] = <void*>_integrals.incgamma[double]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_types[4]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":565
 * ufunc_incgamma_types[3] = <char>np.NPY_DOUBLE
 * ufunc_incgamma_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_incgamma_types[5] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_incgamma_data[0] = <void*>_integrals.incgamma[double]
 * ufunc_incgamma_data[1] = <void*>_integrals.incgamma[double_complex]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_types[5]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":566
 * ufunc_incgamma_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_incgamma_types[5] = <char>np.NPY_CDOUBLE
 * ufunc_incgamma_data[0] = <void*>_integrals.incgamma[double]             # <<<<<<<<<<<<<<
 * ufunc_incgamma_data[1] = <void*>_integrals.incgamma[double_complex]
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_data[0]) = ((void *)__pyx_fuse_1__pyx_f_6treams_7special_10_integrals_incgamma);

  /* "treams/special/_ufuncs.pyx":567
 * ufunc_incgamma_types[5] = <char>np.NPY_CDOUBLE
 * ufunc_incgamma_data[0] = <void*>_integrals.incgamma[double]
 * ufunc_incgamma_data[1] = <void*>_integrals.incgamma[double_complex]             # <<<<<<<<<<<<<<
 * 
 * incgamma = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_data[1]) = ((void *)__pyx_fuse_0__pyx_f_6treams_7special_10_integrals_incgamma);

  /* "treams/special/_ufuncs.pyx":569
 * ufunc_incgamma_data[1] = <void*>_integrals.incgamma[double_complex]
 * 
 * incgamma = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_incgamma_loops,
 *     ufunc_incgamma_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_incgamma_types, 2, 2, 1, 0, ((char *)"incgamma"), ((char *)"incgamma(l, z)\n\nUpper incomplete Gamma function of integer and half-integer degree and real and complex\nargument\n\nThis function is defined as\n\n.. math\n\n    Gamma(n, z) = \\int_z^\\infty t^{n - 1} \\mathrm e^{-t} \\mathrm dt\n\nThe negative real axis is the branch cut of the implemented function.\n\nArgs:\n    l (integer or float): Integer or half-integer order\n    z (float or complex): Argument\n\nReturns:\n    float or complex\n\nReferences:\n    - `DLMF: 8.2 <https://dlmf.nist.gov/8.2>`_\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 569, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_incgamma, __pyx_t_2) < 0) __PYX_ERR(0, 569, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":609
 * cdef char ufunc_intkambe_types[2 * 4]
 * 
 * ufunc_intkambe_loops[0] = <np.PyUFuncGenericFunction>loop_d_ldd             # <<<<<<<<<<<<<<
 * ufunc_intkambe_loops[1] = <np.PyUFuncGenericFunction>loop_D_lDD
 * ufunc_intkambe_types[0] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_d_ldd);

  /* "treams/special/_ufuncs.pyx":610
 * 
 * ufunc_intkambe_loops[0] = <np.PyUFuncGenericFunction>loop_d_ldd
 * ufunc_intkambe_loops[1] = <np.PyUFuncGenericFunction>loop_D_lDD             # <<<<<<<<<<<<<<
 * ufunc_intkambe_types[0] = <char>np.NPY_LONG
 * ufunc_intkambe_types[1] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_loops[1]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_lDD);

  /* "treams/special/_ufuncs.pyx":611
 * ufunc_intkambe_loops[0] = <np.PyUFuncGenericFunction>loop_d_ldd
 * ufunc_intkambe_loops[1] = <np.PyUFuncGenericFunction>loop_D_lDD
 * ufunc_intkambe_types[0] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_intkambe_types[1] = <char>np.NPY_DOUBLE
 * ufunc_intkambe_types[2] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_types[0]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":612
 * ufunc_intkambe_loops[1] = <np.PyUFuncGenericFunction>loop_D_lDD
 * ufunc_intkambe_types[0] = <char>np.NPY_LONG
 * ufunc_intkambe_types[1] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_intkambe_types[2] = <char>np.NPY_DOUBLE
 * ufunc_intkambe_types[3] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_types[1]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":613
 * ufunc_intkambe_types[0] = <char>np.NPY_LONG
 * ufunc_intkambe_types[1] = <char>np.NPY_DOUBLE
 * ufunc_intkambe_types[2] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_intkambe_types[3] = <char>np.NPY_DOUBLE
 * ufunc_intkambe_types[4] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_types[2]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":614
 * ufunc_intkambe_types[1] = <char>np.NPY_DOUBLE
 * ufunc_intkambe_types[2] = <char>np.NPY_DOUBLE
 * ufunc_intkambe_types[3] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_intkambe_types[4] = <char>np.NPY_LONG
 * ufunc_intkambe_types[5] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_types[3]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":615
 * ufunc_intkambe_types[2] = <char>np.NPY_DOUBLE
 * ufunc_intkambe_types[3] = <char>np.NPY_DOUBLE
 * ufunc_intkambe_types[4] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_intkambe_types[5] = <char>np.NPY_CDOUBLE
 * ufunc_intkambe_types[6] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_types[4]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":616
 * ufunc_intkambe_types[3] = <char>np.NPY_DOUBLE
 * ufunc_intkambe_types[4] = <char>np.NPY_LONG
 * ufunc_intkambe_types[5] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_intkambe_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_intkambe_types[7] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_types[5]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":617
 * ufunc_intkambe_types[4] = <char>np.NPY_LONG
 * ufunc_intkambe_types[5] = <char>np.NPY_CDOUBLE
 * ufunc_intkambe_types[6] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_intkambe_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_intkambe_data[0] = <void*>_integrals.intkambe[double]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_types[6]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":618
 * ufunc_intkambe_types[5] = <char>np.NPY_CDOUBLE
 * ufunc_intkambe_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_intkambe_types[7] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_intkambe_data[0] = <void*>_integrals.intkambe[double]
 * ufunc_intkambe_data[1] = <void*>_integrals.intkambe[double_complex]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_types[7]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":619
 * ufunc_intkambe_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_intkambe_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_intkambe_data[0] = <void*>_integrals.intkambe[double]             # <<<<<<<<<<<<<<
 * ufunc_intkambe_data[1] = <void*>_integrals.intkambe[double_complex]
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_data[0]) = ((void *)__pyx_fuse_1__pyx_f_6treams_7special_10_integrals_intkambe);

  /* "treams/special/_ufuncs.pyx":620
 * ufunc_intkambe_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_intkambe_data[0] = <void*>_integrals.intkambe[double]
 * ufunc_intkambe_data[1] = <void*>_integrals.intkambe[double_complex]             # <<<<<<<<<<<<<<
 * 
 * intkambe = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_data[1]) = ((void *)__pyx_fuse_0__pyx_f_6treams_7special_10_integrals_intkambe);

  /* "treams/special/_ufuncs.pyx":622
 * ufunc_intkambe_data[1] = <void*>_integrals.intkambe[double_complex]
 * 
 * intkambe = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_intkambe_loops,
 *     ufunc_intkambe_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_intkambe_types, 2, 3, 1, 0, ((char *)"intkambe"), ((char *)"intkambe(n, z, eta)\n\nIntegral appearing in the accelerated lattice summations\n\nNamed here after its appearance (in a slightly different form) in equation (3.16),\nin Kambe's paper [#]_.\n\nThis function is defined as\n\n.. math::\n\n    I_n(\\eta, z)\n    = \\int_\\eta^\\infty t^n \\mathrm e^{-\\frac{z^2t^2}{2} + \\frac{1}{2t^2}}\n    \\mathrm d t\n\nand is calculated via recursion.\n\nArgs:\n    n (integer, array_like): Order\n    z (float or complex, array_like): Argument\n    eta (float or complex, array_like): Integral cutoff\n\nReturns:\n    float or complex\n\nReferences:\n    .. [#] `K. Kambe, Zeitschrift Fuer Naturforschung A 23, 9 (1968). <https://doi.org/10.1515/zna-1968-0908>`_\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 622, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_intkambe, __pyx_t_2) < 0) __PYX_ERR(0, 622, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":667
 * cdef char ufunc_wignersmalld_types[2 * 5]
 * 
 * ufunc_wignersmalld_loops[0] = <np.PyUFuncGenericFunction>loop_d_llld             # <<<<<<<<<<<<<<
 * ufunc_wignersmalld_loops[1] = <np.PyUFuncGenericFunction>loop_D_lllD
 * ufunc_wignersmalld_types[0] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_d_llld);

  /* "treams/special/_ufuncs.pyx":668
 * 
 * ufunc_wignersmalld_loops[0] = <np.PyUFuncGenericFunction>loop_d_llld
 * ufunc_wignersmalld_loops[1] = <np.PyUFuncGenericFunction>loop_D_lllD             # <<<<<<<<<<<<<<
 * ufunc_wignersmalld_types[0] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[1] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_loops[1]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_lllD);

  /* "treams/special/_ufuncs.pyx":669
 * ufunc_wignersmalld_loops[0] = <np.PyUFuncGenericFunction>loop_d_llld
 * ufunc_wignersmalld_loops[1] = <np.PyUFuncGenericFunction>loop_D_lllD
 * ufunc_wignersmalld_types[0] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wignersmalld_types[1] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[2] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_types[0]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":670
 * ufunc_wignersmalld_loops[1] = <np.PyUFuncGenericFunction>loop_D_lllD
 * ufunc_wignersmalld_types[0] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[1] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wignersmalld_types[2] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[3] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_types[1]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":671
 * ufunc_wignersmalld_types[0] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[1] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[2] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wignersmalld_types[3] = <char>np.NPY_DOUBLE
 * ufunc_wignersmalld_types[4] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_types[2]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":672
 * ufunc_wignersmalld_types[1] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[2] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[3] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_wignersmalld_types[4] = <char>np.NPY_DOUBLE
 * ufunc_wignersmalld_types[5] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_types[3]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":673
 * ufunc_wignersmalld_types[2] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[3] = <char>np.NPY_DOUBLE
 * ufunc_wignersmalld_types[4] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_wignersmalld_types[5] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[6] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_types[4]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":674
 * ufunc_wignersmalld_types[3] = <char>np.NPY_DOUBLE
 * ufunc_wignersmalld_types[4] = <char>np.NPY_DOUBLE
 * ufunc_wignersmalld_types[5] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wignersmalld_types[6] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[7] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_types[5]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":675
 * ufunc_wignersmalld_types[4] = <char>np.NPY_DOUBLE
 * ufunc_wignersmalld_types[5] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[6] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wignersmalld_types[7] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[8] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_types[6]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":676
 * ufunc_wignersmalld_types[5] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[6] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[7] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wignersmalld_types[8] = <char>np.NPY_CDOUBLE
 * ufunc_wignersmalld_types[9] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_types[7]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":677
 * ufunc_wignersmalld_types[6] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[7] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[8] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_wignersmalld_types[9] = <char>np.NPY_CDOUBLE
 * ufunc_wignersmalld_data[0] = <void*>_wignerd.wignersmalld[double]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_types[8]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":678
 * ufunc_wignersmalld_types[7] = <char>np.NPY_LONG
 * ufunc_wignersmalld_types[8] = <char>np.NPY_CDOUBLE
 * ufunc_wignersmalld_types[9] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_wignersmalld_data[0] = <void*>_wignerd.wignersmalld[double]
 * ufunc_wignersmalld_data[1] = <void*>_wignerd.wignersmalld[double_complex]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_types[9]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":679
 * ufunc_wignersmalld_types[8] = <char>np.NPY_CDOUBLE
 * ufunc_wignersmalld_types[9] = <char>np.NPY_CDOUBLE
 * ufunc_wignersmalld_data[0] = <void*>_wignerd.wignersmalld[double]             # <<<<<<<<<<<<<<
 * ufunc_wignersmalld_data[1] = <void*>_wignerd.wignersmalld[double_complex]
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_data[0]) = ((void *)__pyx_fuse_1__pyx_f_6treams_7special_8_wignerd_wignersmalld);

  /* "treams/special/_ufuncs.pyx":680
 * ufunc_wignersmalld_types[9] = <char>np.NPY_CDOUBLE
 * ufunc_wignersmalld_data[0] = <void*>_wignerd.wignersmalld[double]
 * ufunc_wignersmalld_data[1] = <void*>_wignerd.wignersmalld[double_complex]             # <<<<<<<<<<<<<<
 * 
 * wignersmalld = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_data[1]) = ((void *)__pyx_fuse_0__pyx_f_6treams_7special_8_wignerd_wignersmalld);

  /* "treams/special/_ufuncs.pyx":682
 * ufunc_wignersmalld_data[1] = <void*>_wignerd.wignersmalld[double_complex]
 * 
 * wignersmalld = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_wignersmalld_loops,
 *     ufunc_wignersmalld_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_wignersmalld_types, 2, 4, 1, 0, ((char *)"wignersmalld"), ((char *)"wignersmalld(l, m, k, theta)\n\nWigner-d matrix element\n\nWigner-(small)-d symbol :math:`d^l_{mk}(\\theta)` calculated via forward or backward\nrecursion for integer arguments. The decision is based on the number of\nrecursive function calls necessary. The function return values are cached\nduring recursion.\n\nNote:\n    Mathematica and Dachsela use a different sign convention, which means taking\n    the negative angle.\n\nArgs:\n    l (integer): Degree :math:`l \\geq 0`\n    m (integer): Order :math:`|m| \\leq l`\n    k (integer): Order :math:`|k| \\leq l`\n    theta (float or complex) Azimuthal angle\n\nReturns:\n    float or complex\n\nReferences:\n    - `Wikipedia: Wigner D-matrix <https://en.wikipedia.org/wiki/Wigner_D-matrix>`_\n    - `H. Dachsela, J. Chem. Phys. 142, 144115 (2006) <https://doi.org/10.1063/1.2194548>`_\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 682, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_wignersmalld, __pyx_t_2) < 0) __PYX_ERR(0, 682, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":725
 * cdef char ufunc_wignerD_types[2 * 7]
 * 
 * ufunc_wignerD_loops[0] = <np.PyUFuncGenericFunction>loop_D_lllddd             # <<<<<<<<<<<<<<
 * ufunc_wignerD_loops[1] = <np.PyUFuncGenericFunction>loop_D_llldDd
 * ufunc_wignerD_types[0] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_lllddd);

  /* "treams/special/_ufuncs.pyx":726
 * 
 * ufunc_wignerD_loops[0] = <np.PyUFuncGenericFunction>loop_D_lllddd
 * ufunc_wignerD_loops[1] = <np.PyUFuncGenericFunction>loop_D_llldDd             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[0] = <char>np.NPY_LONG
 * ufunc_wignerD_types[1] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_loops[1]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_llldDd);

  /* "treams/special/_ufuncs.pyx":727
 * ufunc_wignerD_loops[0] = <np.PyUFuncGenericFunction>loop_D_lllddd
 * ufunc_wignerD_loops[1] = <np.PyUFuncGenericFunction>loop_D_llldDd
 * ufunc_wignerD_types[0] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[1] = <char>np.NPY_LONG
 * ufunc_wignerD_types[2] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[0]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":728
 * ufunc_wignerD_loops[1] = <np.PyUFuncGenericFunction>loop_D_llldDd
 * ufunc_wignerD_types[0] = <char>np.NPY_LONG
 * ufunc_wignerD_types[1] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[2] = <char>np.NPY_LONG
 * ufunc_wignerD_types[3] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[1]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":729
 * ufunc_wignerD_types[0] = <char>np.NPY_LONG
 * ufunc_wignerD_types[1] = <char>np.NPY_LONG
 * ufunc_wignerD_types[2] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[3] = <char>np.NPY_DOUBLE
 * ufunc_wignerD_types[4] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[2]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":730
 * ufunc_wignerD_types[1] = <char>np.NPY_LONG
 * ufunc_wignerD_types[2] = <char>np.NPY_LONG
 * ufunc_wignerD_types[3] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[4] = <char>np.NPY_DOUBLE
 * ufunc_wignerD_types[5] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[3]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":731
 * ufunc_wignerD_types[2] = <char>np.NPY_LONG
 * ufunc_wignerD_types[3] = <char>np.NPY_DOUBLE
 * ufunc_wignerD_types[4] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[5] = <char>np.NPY_DOUBLE
 * ufunc_wignerD_types[6] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[4]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":732
 * ufunc_wignerD_types[3] = <char>np.NPY_DOUBLE
 * ufunc_wignerD_types[4] = <char>np.NPY_DOUBLE
 * ufunc_wignerD_types[5] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_types[7] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[5]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":733
 * ufunc_wignerD_types[4] = <char>np.NPY_DOUBLE
 * ufunc_wignerD_types[5] = <char>np.NPY_DOUBLE
 * ufunc_wignerD_types[6] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[7] = <char>np.NPY_LONG
 * ufunc_wignerD_types[8] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[6]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":734
 * ufunc_wignerD_types[5] = <char>np.NPY_DOUBLE
 * ufunc_wignerD_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_types[7] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[8] = <char>np.NPY_LONG
 * ufunc_wignerD_types[9] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[7]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":735
 * ufunc_wignerD_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_types[7] = <char>np.NPY_LONG
 * ufunc_wignerD_types[8] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[9] = <char>np.NPY_LONG
 * ufunc_wignerD_types[10] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[8]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":736
 * ufunc_wignerD_types[7] = <char>np.NPY_LONG
 * ufunc_wignerD_types[8] = <char>np.NPY_LONG
 * ufunc_wignerD_types[9] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[10] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_types[11] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[9]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":737
 * ufunc_wignerD_types[8] = <char>np.NPY_LONG
 * ufunc_wignerD_types[9] = <char>np.NPY_LONG
 * ufunc_wignerD_types[10] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[11] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_types[12] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[10]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":738
 * ufunc_wignerD_types[9] = <char>np.NPY_LONG
 * ufunc_wignerD_types[10] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_types[11] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_types[13] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[11]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":739
 * ufunc_wignerD_types[10] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_types[11] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_types[12] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_wignerD_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_data[0] = <void*>_wignerd.wignerd[double]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[12]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":740
 * ufunc_wignerD_types[11] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_types[13] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_wignerD_data[0] = <void*>_wignerd.wignerd[double]
 * ufunc_wignerD_data[1] = <void*>_wignerd.wignerd[double_complex]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types[13]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":741
 * ufunc_wignerD_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_data[0] = <void*>_wignerd.wignerd[double]             # <<<<<<<<<<<<<<
 * ufunc_wignerD_data[1] = <void*>_wignerd.wignerd[double_complex]
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_data[0]) = ((void *)__pyx_fuse_1__pyx_f_6treams_7special_8_wignerd_wignerd);

  /* "treams/special/_ufuncs.pyx":742
 * ufunc_wignerD_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_wignerD_data[0] = <void*>_wignerd.wignerd[double]
 * ufunc_wignerD_data[1] = <void*>_wignerd.wignerd[double_complex]             # <<<<<<<<<<<<<<
 * 
 * wignerd = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_data[1]) = ((void *)__pyx_fuse_0__pyx_f_6treams_7special_8_wignerd_wignerd);

  /* "treams/special/_ufuncs.pyx":744
 * ufunc_wignerD_data[1] = <void*>_wignerd.wignerd[double_complex]
 * 
 * wignerd = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_wignerD_loops,
 *     ufunc_wignerD_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_wignerD_types, 2, 6, 1, 0, ((char *)"wignerd"), ((char *)"wignerd(l, m, k, phi, theta, psi)\n\nWigner-D matrix element\n\n.. math::\n\n    D^l_{mk}(\\varphi, \\theta, \\psi)\n    = \\mathrm e^{-\\mathrm i m \\varphi} d^l_{mk}(\\theta) \\mathrm e^{-\\mathrm i k \\psi}\n\nSee also :func:`treams.special.wignersmalld`.\n\nNote:\n    Mathematica uses a different sign convention, which means taking the negative\n    angles.\n\nArgs:\n    l (integer): Degree :math:`l \\geq 0`\n    m (integer): Order :math:`|m| \\leq l`\n    k (integer): Order :math:`|k| \\leq l`\n    phi, theta, psi (float or complex): Angles\n\nReturns:\n    complex\n\nReferences:\n    - `Wikipedia: Wigner D-matrix <https://en.wikipedia.org/wiki/Wigner_D-matrix>`_\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 744, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_wignerd, __pyx_t_2) < 0) __PYX_ERR(0, 744, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":788
 * cdef char ufunc_wigner3j_types[7]
 * 
 * ufunc_wigner3j_loops[0] = <np.PyUFuncGenericFunction>loop_d_llllll             # <<<<<<<<<<<<<<
 * ufunc_wigner3j_types[0] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[1] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_d_llllll);

  /* "treams/special/_ufuncs.pyx":789
 * 
 * ufunc_wigner3j_loops[0] = <np.PyUFuncGenericFunction>loop_d_llllll
 * ufunc_wigner3j_types[0] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wigner3j_types[1] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[2] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_types[0]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":790
 * ufunc_wigner3j_loops[0] = <np.PyUFuncGenericFunction>loop_d_llllll
 * ufunc_wigner3j_types[0] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[1] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wigner3j_types[2] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[3] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_types[1]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":791
 * ufunc_wigner3j_types[0] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[1] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[2] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wigner3j_types[3] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[4] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_types[2]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":792
 * ufunc_wigner3j_types[1] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[2] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[3] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wigner3j_types[4] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[5] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_types[3]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":793
 * ufunc_wigner3j_types[2] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[3] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[4] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wigner3j_types[5] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[6] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_types[4]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":794
 * ufunc_wigner3j_types[3] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[4] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[5] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_wigner3j_types[6] = <char>np.NPY_DOUBLE
 * ufunc_wigner3j_data[0] = <void*>_wigner3j.wigner3j
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_types[5]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":795
 * ufunc_wigner3j_types[4] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[5] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[6] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_wigner3j_data[0] = <void*>_wigner3j.wigner3j
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_types[6]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":796
 * ufunc_wigner3j_types[5] = <char>np.NPY_LONG
 * ufunc_wigner3j_types[6] = <char>np.NPY_DOUBLE
 * ufunc_wigner3j_data[0] = <void*>_wigner3j.wigner3j             # <<<<<<<<<<<<<<
 * 
 * wigner3j = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_data[0]) = ((void *)__pyx_f_6treams_7special_9_wigner3j_wigner3j);

  /* "treams/special/_ufuncs.pyx":798
 * ufunc_wigner3j_data[0] = <void*>_wigner3j.wigner3j
 * 
 * wigner3j = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_wigner3j_loops,
 *     ufunc_wigner3j_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_wigner3j_types, 1, 6, 1, 0, ((char *)"wigner3j"), ((char *)"wigner3j(j1, j2, j3, m1, m2, m3)\n\nWigner-3j symbol\n\nCalculate\n\n.. math::\n\n    \\begin{pmatrix} j_1 & j_2 & j_3 \\\\ m_1 & m_2 & m_3 \\end{pmatrix}\n\nrecursively by forward or backward recurstion.\nStarting points are the extremal values for `j3.` The recursive function\ncalls are cached. For unphysical value combinations `0.0` is returned,\nsimilar to Mathematica's behavior.\n\nArgs:\n    j1, j2, j3 (integer, array_like): Degrees\n    m1, m2, m3 (integer, array_like): Orders\n\nReturns:\n    float\n\nReferences:\n    - `Y.-L. Xu, J. Comput. Phys. 139, 137 - 165 (1998) <https://doi.org/10.1006/jcph.1997.5867>`_\n    - `DLMF: 34.3 <https://dlmf.nist.gov/34.3>`_\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 798, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_wigner3j, __pyx_t_2) < 0) __PYX_ERR(0, 798, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":841
 * cdef char ufunc_jv_d_types[2 * 3]
 * 
 * ufunc_jv_d_loops[0] = <np.PyUFuncGenericFunction>loop_d_dd             # <<<<<<<<<<<<<<
 * ufunc_jv_d_loops[1] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_jv_d_types[0] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_d_dd);

  /* "treams/special/_ufuncs.pyx":842
 * 
 * ufunc_jv_d_loops[0] = <np.PyUFuncGenericFunction>loop_d_dd
 * ufunc_jv_d_loops[1] = <np.PyUFuncGenericFunction>loop_D_dD             # <<<<<<<<<<<<<<
 * ufunc_jv_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_jv_d_types[1] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_loops[1]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_dD);

  /* "treams/special/_ufuncs.pyx":843
 * ufunc_jv_d_loops[0] = <np.PyUFuncGenericFunction>loop_d_dd
 * ufunc_jv_d_loops[1] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_jv_d_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_jv_d_types[1] = <char>np.NPY_DOUBLE
 * ufunc_jv_d_types[2] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_types[0]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":844
 * ufunc_jv_d_loops[1] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_jv_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_jv_d_types[1] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_jv_d_types[2] = <char>np.NPY_DOUBLE
 * ufunc_jv_d_types[3] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_types[1]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":845
 * ufunc_jv_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_jv_d_types[1] = <char>np.NPY_DOUBLE
 * ufunc_jv_d_types[2] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_jv_d_types[3] = <char>np.NPY_DOUBLE
 * ufunc_jv_d_types[4] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_types[2]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":846
 * ufunc_jv_d_types[1] = <char>np.NPY_DOUBLE
 * ufunc_jv_d_types[2] = <char>np.NPY_DOUBLE
 * ufunc_jv_d_types[3] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_jv_d_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_jv_d_types[5] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_types[3]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":847
 * ufunc_jv_d_types[2] = <char>np.NPY_DOUBLE
 * ufunc_jv_d_types[3] = <char>np.NPY_DOUBLE
 * ufunc_jv_d_types[4] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_jv_d_types[5] = <char>np.NPY_CDOUBLE
 * ufunc_jv_d_data[0] = <void*>_bessel.jv_d[double]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_types[4]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":848
 * ufunc_jv_d_types[3] = <char>np.NPY_DOUBLE
 * ufunc_jv_d_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_jv_d_types[5] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_jv_d_data[0] = <void*>_bessel.jv_d[double]
 * ufunc_jv_d_data[1] = <void*>_bessel.jv_d[double_complex]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_types[5]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":849
 * ufunc_jv_d_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_jv_d_types[5] = <char>np.NPY_CDOUBLE
 * ufunc_jv_d_data[0] = <void*>_bessel.jv_d[double]             # <<<<<<<<<<<<<<
 * ufunc_jv_d_data[1] = <void*>_bessel.jv_d[double_complex]
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_data[0]) = ((void *)__pyx_fuse_1__pyx_f_6treams_7special_7_bessel_jv_d);

  /* "treams/special/_ufuncs.pyx":850
 * ufunc_jv_d_types[5] = <char>np.NPY_CDOUBLE
 * ufunc_jv_d_data[0] = <void*>_bessel.jv_d[double]
 * ufunc_jv_d_data[1] = <void*>_bessel.jv_d[double_complex]             # <<<<<<<<<<<<<<
 * 
 * jv_d = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_data[1]) = ((void *)__pyx_fuse_0__pyx_f_6treams_7special_7_bessel_jv_d);

  /* "treams/special/_ufuncs.pyx":852
 * ufunc_jv_d_data[1] = <void*>_bessel.jv_d[double_complex]
 * 
 * jv_d = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_jv_d_loops,
 *     ufunc_jv_d_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_jv_d_types, 2, 2, 1, 0, ((char *)"jv_d"), ((char *)"jv_d(v, z)\n\nDerivative of the Bessel function of the first kind\n\nComputed by\n\n.. math::\n\n    J_\\nu'(z) = \\frac{J_{\\nu - 1}(z) - J_{\\nu + 1}(z)}{2}\n\nArgs:\n    v (float, array_like): Order\n    z (float or complex, array_like): Argument\n\nReturns:\n    float or complex\n\nReferences:\n    - `DLMF: 10.6 <https://dlmf.nist.gov/10.6>`_\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 852, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_jv_d, __pyx_t_2) < 0) __PYX_ERR(0, 852, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":889
 * cdef char ufunc_yv_d_types[2 * 3]
 * 
 * ufunc_yv_d_loops[0] = <np.PyUFuncGenericFunction>loop_d_dd             # <<<<<<<<<<<<<<
 * ufunc_yv_d_loops[1] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_yv_d_types[0] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_d_dd);

  /* "treams/special/_ufuncs.pyx":890
 * 
 * ufunc_yv_d_loops[0] = <np.PyUFuncGenericFunction>loop_d_dd
 * ufunc_yv_d_loops[1] = <np.PyUFuncGenericFunction>loop_D_dD             # <<<<<<<<<<<<<<
 * ufunc_yv_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_yv_d_types[1] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_loops[1]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_dD);

  /* "treams/special/_ufuncs.pyx":891
 * ufunc_yv_d_loops[0] = <np.PyUFuncGenericFunction>loop_d_dd
 * ufunc_yv_d_loops[1] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_yv_d_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_yv_d_types[1] = <char>np.NPY_DOUBLE
 * ufunc_yv_d_types[2] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_types[0]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":892
 * ufunc_yv_d_loops[1] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_yv_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_yv_d_types[1] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_yv_d_types[2] = <char>np.NPY_DOUBLE
 * ufunc_yv_d_types[3] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_types[1]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":893
 * ufunc_yv_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_yv_d_types[1] = <char>np.NPY_DOUBLE
 * ufunc_yv_d_types[2] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_yv_d_types[3] = <char>np.NPY_DOUBLE
 * ufunc_yv_d_types[4] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_types[2]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":894
 * ufunc_yv_d_types[1] = <char>np.NPY_DOUBLE
 * ufunc_yv_d_types[2] = <char>np.NPY_DOUBLE
 * ufunc_yv_d_types[3] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_yv_d_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_yv_d_types[5] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_types[3]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":895
 * ufunc_yv_d_types[2] = <char>np.NPY_DOUBLE
 * ufunc_yv_d_types[3] = <char>np.NPY_DOUBLE
 * ufunc_yv_d_types[4] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_yv_d_types[5] = <char>np.NPY_CDOUBLE
 * ufunc_yv_d_data[0] = <void*>_bessel.yv_d[double]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_types[4]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":896
 * ufunc_yv_d_types[3] = <char>np.NPY_DOUBLE
 * ufunc_yv_d_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_yv_d_types[5] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_yv_d_data[0] = <void*>_bessel.yv_d[double]
 * ufunc_yv_d_data[1] = <void*>_bessel.yv_d[double_complex]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_types[5]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":897
 * ufunc_yv_d_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_yv_d_types[5] = <char>np.NPY_CDOUBLE
 * ufunc_yv_d_data[0] = <void*>_bessel.yv_d[double]             # <<<<<<<<<<<<<<
 * ufunc_yv_d_data[1] = <void*>_bessel.yv_d[double_complex]
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_data[0]) = ((void *)__pyx_fuse_1__pyx_f_6treams_7special_7_bessel_yv_d);

  /* "treams/special/_ufuncs.pyx":898
 * ufunc_yv_d_types[5] = <char>np.NPY_CDOUBLE
 * ufunc_yv_d_data[0] = <void*>_bessel.yv_d[double]
 * ufunc_yv_d_data[1] = <void*>_bessel.yv_d[double_complex]             # <<<<<<<<<<<<<<
 * 
 * yv_d = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_data[1]) = ((void *)__pyx_fuse_0__pyx_f_6treams_7special_7_bessel_yv_d);

  /* "treams/special/_ufuncs.pyx":900
 * ufunc_yv_d_data[1] = <void*>_bessel.yv_d[double_complex]
 * 
 * yv_d = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_yv_d_loops,
 *     ufunc_yv_d_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_yv_d_types, 2, 2, 1, 0, ((char *)"yv_d"), ((char *)"yv_d(v, z)\n\nDerivative of the Bessel function of the second kind\n\nComputed by\n\n.. math::\n\n    Y_\\nu'(z) = \\frac{Y_{\\nu - 1}(z) - Y_{\\nu + 1}(z)}{2}\n\nArgs:\n    v (float, array_like): Order\n    z (float or complex, array_like): Argument\n\nReturns:\n    float or complex\n\nReferences:\n    - `DLMF: 10.6 <https://dlmf.nist.gov/10.6>`_\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 900, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_yv_d, __pyx_t_2) < 0) __PYX_ERR(0, 900, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":937
 * cdef char ufunc_spherical_hankel1_types[3]
 * 
 * ufunc_spherical_hankel1_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel1_types[0] = <char>np.NPY_DOUBLE
 * ufunc_spherical_hankel1_types[1] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_dD);

  /* "treams/special/_ufuncs.pyx":938
 * 
 * ufunc_spherical_hankel1_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_spherical_hankel1_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel1_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel1_types[2] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_types[0]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":939
 * ufunc_spherical_hankel1_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_spherical_hankel1_types[0] = <char>np.NPY_DOUBLE
 * ufunc_spherical_hankel1_types[1] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel1_types[2] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel1_data[0] = <void*>_bessel.spherical_hankel1
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_types[1]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":940
 * ufunc_spherical_hankel1_types[0] = <char>np.NPY_DOUBLE
 * ufunc_spherical_hankel1_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel1_types[2] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel1_data[0] = <void*>_bessel.spherical_hankel1
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_types[2]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":941
 * ufunc_spherical_hankel1_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel1_types[2] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel1_data[0] = <void*>_bessel.spherical_hankel1             # <<<<<<<<<<<<<<
 * 
 * spherical_hankel1 = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_data[0]) = ((void *)__pyx_f_6treams_7special_7_bessel_spherical_hankel1);

  /* "treams/special/_ufuncs.pyx":943
 * ufunc_spherical_hankel1_data[0] = <void*>_bessel.spherical_hankel1
 * 
 * spherical_hankel1 = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_spherical_hankel1_loops,
 *     ufunc_spherical_hankel1_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_types, 1, 2, 1, 0, ((char *)"spherical_hankel1"), ((char *)"spherical_hankel1(n, z)\n\nSpherical Hankel function of the first kind\n\nDefined by\n\n.. math::\n\n    h_n^{(1)}(z) = \\sqrt{\\frac{\\pi}{2z}} H_{n + \\frac{1}{2}}^{(1)}(z)\n\nwhere :math:`H_{n + \\frac{1}{2}}^{(1)}` is the Hankel function of the first kind.\n\nArgs:\n    n (integer, array_like): Order\n    z (complex, array_like): Argument\n\nReturns:\n    complex\n\nReferences:\n    - `DLMF: 10.47 <https://dlmf.nist.gov/10.47>`_\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 943, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_spherical_hankel1, __pyx_t_2) < 0) __PYX_ERR(0, 943, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":982
 * cdef char ufunc_spherical_hankel2_types[3]
 * 
 * ufunc_spherical_hankel2_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel2_types[0] = <char>np.NPY_DOUBLE
 * ufunc_spherical_hankel2_types[1] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_dD);

  /* "treams/special/_ufuncs.pyx":983
 * 
 * ufunc_spherical_hankel2_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_spherical_hankel2_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel2_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel2_types[2] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_types[0]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":984
 * ufunc_spherical_hankel2_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_spherical_hankel2_types[0] = <char>np.NPY_DOUBLE
 * ufunc_spherical_hankel2_types[1] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel2_types[2] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel2_data[0] = <void*>_bessel.spherical_hankel2
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_types[1]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":985
 * ufunc_spherical_hankel2_types[0] = <char>np.NPY_DOUBLE
 * ufunc_spherical_hankel2_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel2_types[2] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel2_data[0] = <void*>_bessel.spherical_hankel2
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_types[2]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":986
 * ufunc_spherical_hankel2_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel2_types[2] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel2_data[0] = <void*>_bessel.spherical_hankel2             # <<<<<<<<<<<<<<
 * 
 * spherical_hankel2 = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_data[0]) = ((void *)__pyx_f_6treams_7special_7_bessel_spherical_hankel2);

  /* "treams/special/_ufuncs.pyx":988
 * ufunc_spherical_hankel2_data[0] = <void*>_bessel.spherical_hankel2
 * 
 * spherical_hankel2 = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_spherical_hankel2_loops,
 *     ufunc_spherical_hankel2_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_types, 1, 2, 1, 0, ((char *)"spherical_hankel2"), ((char *)"spherical_hankel2(n, z)\n\nSpherical Hankel function of the second kind\n\nDefined by\n\n.. math::\n\n    h_n^{(2)}(z) = \\sqrt{\\frac{\\pi}{2z}} H_{n + \\frac{1}{2}}^{(2)}(z)\n\nwhere :math:`H_{n + \\frac{1}{2}}^{(2)}` is the Hankel function of the second kind.\n\nArgs:\n    n (integer, array_like): Order\n    z (complex, array_like): Argument\n\nReturns:\n    complex\n\nReferences:\n    - `DLMF: 10.47 <https://dlmf.nist.gov/10.47>`_\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 988, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_spherical_hankel2, __pyx_t_2) < 0) __PYX_ERR(0, 988, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":1027
 * cdef char ufunc_spherical_hankel1_d_types[3]
 * 
 * ufunc_spherical_hankel1_d_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel1_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_spherical_hankel1_d_types[1] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_d_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_dD);

  /* "treams/special/_ufuncs.pyx":1028
 * 
 * ufunc_spherical_hankel1_d_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_spherical_hankel1_d_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel1_d_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel1_d_types[2] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_d_types[0]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1029
 * ufunc_spherical_hankel1_d_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_spherical_hankel1_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_spherical_hankel1_d_types[1] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel1_d_types[2] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel1_d_data[0] = <void*>_bessel.spherical_hankel1_d
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_d_types[1]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1030
 * ufunc_spherical_hankel1_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_spherical_hankel1_d_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel1_d_types[2] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel1_d_data[0] = <void*>_bessel.spherical_hankel1_d
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_d_types[2]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1031
 * ufunc_spherical_hankel1_d_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel1_d_types[2] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel1_d_data[0] = <void*>_bessel.spherical_hankel1_d             # <<<<<<<<<<<<<<
 * 
 * spherical_hankel1_d = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_d_data[0]) = ((void *)__pyx_f_6treams_7special_7_bessel_spherical_hankel1_d);

  /* "treams/special/_ufuncs.pyx":1033
 * ufunc_spherical_hankel1_d_data[0] = <void*>_bessel.spherical_hankel1_d
 * 
 * spherical_hankel1_d = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_spherical_hankel1_d_loops,
 *     ufunc_spherical_hankel1_d_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_d_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_d_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel1_d_types, 1, 2, 1, 0, ((char *)"spherical_hankel1_d"), ((char *)"spherical_hankel1_d(n, z)\n\nDerivative of the spherical Hankel function of the first kind.\n\nComputed by\n\n.. math::\n\n    {h_n^{(1)}}'(z)\n    = \\frac{n h_{n - 1}^{(1)}(z) - (n + 1) h_{n + 1}^{(1)}(z)}{2n + 1}\n\nArgs:\n    n (integer, array_like): Order\n    z (complex, array_like): Argument\n\nReturns:\n    complex\n\nReferences:\n    - `DLMF: 10.51 <https://dlmf.nist.gov/10.51>`_\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1033, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_spherical_hankel1_d, __pyx_t_2) < 0) __PYX_ERR(0, 1033, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":1071
 * cdef char ufunc_spherical_hankel2_d_types[3]
 * 
 * ufunc_spherical_hankel2_d_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel2_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_spherical_hankel2_d_types[1] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_d_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_dD);

  /* "treams/special/_ufuncs.pyx":1072
 * 
 * ufunc_spherical_hankel2_d_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_spherical_hankel2_d_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel2_d_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel2_d_types[2] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_d_types[0]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1073
 * ufunc_spherical_hankel2_d_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_spherical_hankel2_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_spherical_hankel2_d_types[1] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel2_d_types[2] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel2_d_data[0] = <void*>_bessel.spherical_hankel2_d
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_d_types[1]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1074
 * ufunc_spherical_hankel2_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_spherical_hankel2_d_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel2_d_types[2] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_spherical_hankel2_d_data[0] = <void*>_bessel.spherical_hankel2_d
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_d_types[2]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1075
 * ufunc_spherical_hankel2_d_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel2_d_types[2] = <char>np.NPY_CDOUBLE
 * ufunc_spherical_hankel2_d_data[0] = <void*>_bessel.spherical_hankel2_d             # <<<<<<<<<<<<<<
 * 
 * spherical_hankel2_d = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_d_data[0]) = ((void *)__pyx_f_6treams_7special_7_bessel_spherical_hankel2_d);

  /* "treams/special/_ufuncs.pyx":1077
 * ufunc_spherical_hankel2_d_data[0] = <void*>_bessel.spherical_hankel2_d
 * 
 * spherical_hankel2_d = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_spherical_hankel2_d_loops,
 *     ufunc_spherical_hankel2_d_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_d_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_d_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_spherical_hankel2_d_types, 1, 2, 1, 0, ((char *)"spherical_hankel2_d"), ((char *)"spherical_hankel2_d(n, z)\n\nDerivative of the spherical Hankel function of the second kind\n\nComputed by\n\n.. math::\n\n    {h_n^{(2)}}'(z)\n    = \\frac{n h_{n - 1}^{(2)}(z) - (n + 1) h_{n + 1}^{(2)}(z)}{2n + 1}\n\nArgs:\n    n (integer, array_like): Order\n    z (complex, array_like): Argument\n\nReturns:\n    complex\n\nReferences:\n    - `DLMF: 10.51 <https://dlmf.nist.gov/10.51>`_\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1077, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_spherical_hankel2_d, __pyx_t_2) < 0) __PYX_ERR(0, 1077, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":1115
 * cdef char ufunc_hankel1_d_types[3]
 * 
 * ufunc_hankel1_d_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD             # <<<<<<<<<<<<<<
 * ufunc_hankel1_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_hankel1_d_types[1] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel1_d_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_dD);

  /* "treams/special/_ufuncs.pyx":1116
 * 
 * ufunc_hankel1_d_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_hankel1_d_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_hankel1_d_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_hankel1_d_types[2] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel1_d_types[0]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1117
 * ufunc_hankel1_d_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_hankel1_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_hankel1_d_types[1] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_hankel1_d_types[2] = <char>np.NPY_CDOUBLE
 * ufunc_hankel1_d_data[0] = <void*>_bessel.hankel1_d
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel1_d_types[1]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1118
 * ufunc_hankel1_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_hankel1_d_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_hankel1_d_types[2] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_hankel1_d_data[0] = <void*>_bessel.hankel1_d
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel1_d_types[2]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1119
 * ufunc_hankel1_d_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_hankel1_d_types[2] = <char>np.NPY_CDOUBLE
 * ufunc_hankel1_d_data[0] = <void*>_bessel.hankel1_d             # <<<<<<<<<<<<<<
 * 
 * hankel1_d = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel1_d_data[0]) = ((void *)__pyx_f_6treams_7special_7_bessel_hankel1_d);

  /* "treams/special/_ufuncs.pyx":1121
 * ufunc_hankel1_d_data[0] = <void*>_bessel.hankel1_d
 * 
 * hankel1_d = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_hankel1_d_loops,
 *     ufunc_hankel1_d_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel1_d_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_hankel1_d_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_hankel1_d_types, 1, 2, 1, 0, ((char *)"hankel1_d"), ((char *)"hankel1_d(v, z)\n\nDerivative of the Hankel function of the first kind.\n\nComputed by\n\n.. math::\n\n    {H_\\nu^{(1)}}'(z) = \\frac{H_{\\nu - 1}^{(1)}(z) - H_{\\nu + 1}^{(1)}(z)}{2}\n\nArgs:\n    v (float, array_like): Order\n    z (complex, array_like): Argument\n\nReturns:\n    complex\n\nReferences:\n    - `DLMF: 10.6 <https://dlmf.nist.gov/10.6>`_\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1121, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_hankel1_d, __pyx_t_2) < 0) __PYX_ERR(0, 1121, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":1158
 * cdef char ufunc_hankel2_d_types[3]
 * 
 * ufunc_hankel2_d_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD             # <<<<<<<<<<<<<<
 * ufunc_hankel2_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_hankel2_d_types[1] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel2_d_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_dD);

  /* "treams/special/_ufuncs.pyx":1159
 * 
 * ufunc_hankel2_d_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_hankel2_d_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_hankel2_d_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_hankel2_d_types[2] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel2_d_types[0]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1160
 * ufunc_hankel2_d_loops[0] = <np.PyUFuncGenericFunction>loop_D_dD
 * ufunc_hankel2_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_hankel2_d_types[1] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_hankel2_d_types[2] = <char>np.NPY_CDOUBLE
 * ufunc_hankel2_d_data[0] = <void*>_bessel.hankel2_d
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel2_d_types[1]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1161
 * ufunc_hankel2_d_types[0] = <char>np.NPY_DOUBLE
 * ufunc_hankel2_d_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_hankel2_d_types[2] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_hankel2_d_data[0] = <void*>_bessel.hankel2_d
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel2_d_types[2]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1162
 * ufunc_hankel2_d_types[1] = <char>np.NPY_CDOUBLE
 * ufunc_hankel2_d_types[2] = <char>np.NPY_CDOUBLE
 * ufunc_hankel2_d_data[0] = <void*>_bessel.hankel2_d             # <<<<<<<<<<<<<<
 * 
 * hankel2_d = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel2_d_data[0]) = ((void *)__pyx_f_6treams_7special_7_bessel_hankel2_d);

  /* "treams/special/_ufuncs.pyx":1164
 * ufunc_hankel2_d_data[0] = <void*>_bessel.hankel2_d
 * 
 * hankel2_d = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_hankel2_d_loops,
 *     ufunc_hankel2_d_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_hankel2_d_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_hankel2_d_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_hankel2_d_types, 1, 2, 1, 0, ((char *)"hankel2_d"), ((char *)"hankel2_d(v, z)\n\nDerivative of the Hankel function of the second kind\n\nComputed by\n\n.. math::\n\n    {H_\\nu^{(2)}}'(z) = \\frac{H_{\\nu - 1}^{(1)}(z) - H_{\\nu + 1}^{(2)}(z)}{2}\n\nArgs:\n    v (float, array_like): Order\n    z (complex, array_like): Argument\n\nReturns:\n    complex\n\nReferences:\n    - `DLMF: 10.6 <https://dlmf.nist.gov/10.6>`_\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1164, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_hankel2_d, __pyx_t_2) < 0) __PYX_ERR(0, 1164, __pyx_L1_error)
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  /* "treams/special/_ufuncs.pyx":1201
 * cdef char ufunc_pi_fun_types[2 * 4]
 * 
 * ufunc_pi_fun_loops[0] = <np.PyUFuncGenericFunction>loop_d_ddd             # <<<<<<<<<<<<<<
 * ufunc_pi_fun_loops[1] = <np.PyUFuncGenericFunction>loop_D_ddD
 * ufunc_pi_fun_types[0] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_d_ddd);

  /* "treams/special/_ufuncs.pyx":1202
 * 
 * ufunc_pi_fun_loops[0] = <np.PyUFuncGenericFunction>loop_d_ddd
 * ufunc_pi_fun_loops[1] = <np.PyUFuncGenericFunction>loop_D_ddD             # <<<<<<<<<<<<<<
 * ufunc_pi_fun_types[0] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[1] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_loops[1]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_ddD);

  /* "treams/special/_ufuncs.pyx":1203
 * ufunc_pi_fun_loops[0] = <np.PyUFuncGenericFunction>loop_d_ddd
 * ufunc_pi_fun_loops[1] = <np.PyUFuncGenericFunction>loop_D_ddD
 * ufunc_pi_fun_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_pi_fun_types[1] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[2] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_types[0]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1204
 * ufunc_pi_fun_loops[1] = <np.PyUFuncGenericFunction>loop_D_ddD
 * ufunc_pi_fun_types[0] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[1] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_pi_fun_types[2] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[3] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_types[1]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1205
 * ufunc_pi_fun_types[0] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[1] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[2] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_pi_fun_types[3] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[4] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_types[2]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1206
 * ufunc_pi_fun_types[1] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[2] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[3] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_pi_fun_types[4] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[5] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_types[3]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1207
 * ufunc_pi_fun_types[2] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[3] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[4] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_pi_fun_types[5] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[6] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_types[4]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1208
 * ufunc_pi_fun_types[3] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[4] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[5] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_pi_fun_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_pi_fun_types[7] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_types[5]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1209
 * ufunc_pi_fun_types[4] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[5] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[6] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_pi_fun_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_pi_fun_data[0] = <void*>_waves.pi_fun[double]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_types[6]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1210
 * ufunc_pi_fun_types[5] = <char>np.NPY_DOUBLE
 * ufunc_pi_fun_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_pi_fun_types[7] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_pi_fun_data[0] = <void*>_waves.pi_fun[double]
 * ufunc_pi_fun_data[1] = <void*>_waves.pi_fun[double_complex]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_types[7]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1211
 * ufunc_pi_fun_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_pi_fun_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_pi_fun_data[0] = <void*>_waves.pi_fun[double]             # <<<<<<<<<<<<<<
 * ufunc_pi_fun_data[1] = <void*>_waves.pi_fun[double_complex]
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_data[0]) = ((void *)__pyx_fuse_1__pyx_f_6treams_7special_6_waves_pi_fun);

  /* "treams/special/_ufuncs.pyx":1212
 * ufunc_pi_fun_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_pi_fun_data[0] = <void*>_waves.pi_fun[double]
 * ufunc_pi_fun_data[1] = <void*>_waves.pi_fun[double_complex]             # <<<<<<<<<<<<<<
 * 
 * pi_fun = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_data[1]) = ((void *)__pyx_fuse_0__pyx_f_6treams_7special_6_waves_pi_fun);

  /* "treams/special/_ufuncs.pyx":1214
 * ufunc_pi_fun_data[1] = <void*>_waves.pi_fun[double_complex]
 * 
 * pi_fun = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_pi_fun_loops,
 *     ufunc_pi_fun_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_pi_fun_types, 2, 3, 1, 0, ((char *)"pi_fun"), ((char *)"pi_fun(l, m, x)\n\nAngular function pi\n\n.. math::\n\n    \\pi^l_m(x) = \\frac{m P_l^m(x)}{\\sqrt{1 - x^2}}\n\nwhere :math:`P^l_m` is the associated Legendre polynomial.\n\nArgs:\n    l (integer, array_like): degree :math:`l \\geq 0`\n    m (integer, array_like): order :math:`|m| \\leq l`\n    x (float or complex, array_like): argument\n\nReturns:\n    float or complex\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1214, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_pi_fun, __pyx_t_2) < 0) __PYX_ERR(0, 1214, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":1249
 * cdef char ufunc_tau_fun_types[2 * 4]
 * 
 * ufunc_tau_fun_loops[0] = <np.PyUFuncGenericFunction>loop_d_ddd             # <<<<<<<<<<<<<<
 * ufunc_tau_fun_loops[1] = <np.PyUFuncGenericFunction>loop_D_ddD
 * ufunc_tau_fun_types[0] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_d_ddd);

  /* "treams/special/_ufuncs.pyx":1250
 * 
 * ufunc_tau_fun_loops[0] = <np.PyUFuncGenericFunction>loop_d_ddd
 * ufunc_tau_fun_loops[1] = <np.PyUFuncGenericFunction>loop_D_ddD             # <<<<<<<<<<<<<<
 * ufunc_tau_fun_types[0] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[1] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_loops[1]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_ddD);

  /* "treams/special/_ufuncs.pyx":1251
 * ufunc_tau_fun_loops[0] = <np.PyUFuncGenericFunction>loop_d_ddd
 * ufunc_tau_fun_loops[1] = <np.PyUFuncGenericFunction>loop_D_ddD
 * ufunc_tau_fun_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tau_fun_types[1] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[2] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_types[0]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1252
 * ufunc_tau_fun_loops[1] = <np.PyUFuncGenericFunction>loop_D_ddD
 * ufunc_tau_fun_types[0] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[1] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tau_fun_types[2] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[3] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_types[1]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1253
 * ufunc_tau_fun_types[0] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[1] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[2] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tau_fun_types[3] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[4] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_types[2]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1254
 * ufunc_tau_fun_types[1] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[2] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[3] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tau_fun_types[4] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[5] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_types[3]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1255
 * ufunc_tau_fun_types[2] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[3] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[4] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tau_fun_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[6] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_types[4]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1256
 * ufunc_tau_fun_types[3] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[4] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[5] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tau_fun_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_tau_fun_types[7] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_types[5]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1257
 * ufunc_tau_fun_types[4] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[6] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tau_fun_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tau_fun_data[0] = <void*>_waves.tau_fun[double]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_types[6]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1258
 * ufunc_tau_fun_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tau_fun_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_tau_fun_types[7] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tau_fun_data[0] = <void*>_waves.tau_fun[double]
 * ufunc_tau_fun_data[1] = <void*>_waves.tau_fun[double_complex]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_types[7]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1259
 * ufunc_tau_fun_types[6] = <char>np.NPY_CDOUBLE
 * ufunc_tau_fun_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tau_fun_data[0] = <void*>_waves.tau_fun[double]             # <<<<<<<<<<<<<<
 * ufunc_tau_fun_data[1] = <void*>_waves.tau_fun[double_complex]
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_data[0]) = ((void *)__pyx_fuse_1__pyx_f_6treams_7special_6_waves_tau_fun);

  /* "treams/special/_ufuncs.pyx":1260
 * ufunc_tau_fun_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tau_fun_data[0] = <void*>_waves.tau_fun[double]
 * ufunc_tau_fun_data[1] = <void*>_waves.tau_fun[double_complex]             # <<<<<<<<<<<<<<
 * 
 * tau_fun = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_data[1]) = ((void *)__pyx_fuse_0__pyx_f_6treams_7special_6_waves_tau_fun);

  /* "treams/special/_ufuncs.pyx":1262
 * ufunc_tau_fun_data[1] = <void*>_waves.tau_fun[double_complex]
 * 
 * tau_fun = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_tau_fun_loops,
 *     ufunc_tau_fun_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_tau_fun_types, 2, 3, 1, 0, ((char *)"tau_fun"), ((char *)"tau_fun(l, m, x)\n\nAngular function tau\n\n.. math::\n\n    \\tau^l_m(x)\n    = \\left.\\frac{\\mathrm d}{\\mathrm d \\theta}P_l^m(\\cos\\theta)\\right|_{x = \\cos\\theta}\n\nwhere :math:`P^l_m` is the associated Legendre polynomial.\n\nArgs:\n    l (integer, array_like): degree :math:`l \\geq 0`\n    m (integer, array_like): order :math:`|m| \\leq l`\n    x (float or complex, array_like): argument\n\nReturns:\n    float or complex\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1262, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_tau_fun, __pyx_t_2) < 0) __PYX_ERR(0, 1262, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":1298
 * cdef char ufunc_tl_vsw_rA_types[2 * 8]
 * 
 * ufunc_tl_vsw_rA_loops[0] = <np.PyUFuncGenericFunction>loop_D_llllddd             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd
 * ufunc_tl_vsw_rA_types[0] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_llllddd);

  /* "treams/special/_ufuncs.pyx":1299
 * 
 * ufunc_tl_vsw_rA_loops[0] = <np.PyUFuncGenericFunction>loop_D_llllddd
 * ufunc_tl_vsw_rA_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[0] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[1] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_loops[1]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_llllDDd);

  /* "treams/special/_ufuncs.pyx":1300
 * ufunc_tl_vsw_rA_loops[0] = <np.PyUFuncGenericFunction>loop_D_llllddd
 * ufunc_tl_vsw_rA_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd
 * ufunc_tl_vsw_rA_types[0] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[2] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[0]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1301
 * ufunc_tl_vsw_rA_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd
 * ufunc_tl_vsw_rA_types[0] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[1] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[2] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[3] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[1]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1302
 * ufunc_tl_vsw_rA_types[0] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[2] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[4] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[2]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1303
 * ufunc_tl_vsw_rA_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[2] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[3] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[4] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rA_types[5] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[3]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1304
 * ufunc_tl_vsw_rA_types[2] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[4] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rA_types[6] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[4]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1305
 * ufunc_tl_vsw_rA_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[4] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rA_types[5] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rA_types[7] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[5]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1306
 * ufunc_tl_vsw_rA_types[4] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rA_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rA_types[6] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rA_types[8] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[6]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1307
 * ufunc_tl_vsw_rA_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rA_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rA_types[7] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[8] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[9] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[7]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1308
 * ufunc_tl_vsw_rA_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rA_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rA_types[8] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[9] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[10] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[8]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1309
 * ufunc_tl_vsw_rA_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rA_types[8] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[9] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[10] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[11] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[9]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1310
 * ufunc_tl_vsw_rA_types[8] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[9] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[10] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[11] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[12] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[10]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1311
 * ufunc_tl_vsw_rA_types[9] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[10] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[11] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rA_types[13] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[11]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1312
 * ufunc_tl_vsw_rA_types[10] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[11] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[12] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rA_types[14] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[12]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1313
 * ufunc_tl_vsw_rA_types[11] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rA_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rA_types[13] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[14] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rA_types[15] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[13]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1314
 * ufunc_tl_vsw_rA_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rA_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rA_types[14] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_types[15] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rA_data[0] = <void*>_waves.tl_vsw_rA[double]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[14]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1315
 * ufunc_tl_vsw_rA_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rA_types[14] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rA_types[15] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_data[0] = <void*>_waves.tl_vsw_rA[double]
 * ufunc_tl_vsw_rA_data[1] = <void*>_waves.tl_vsw_rA[double_complex]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types[15]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1316
 * ufunc_tl_vsw_rA_types[14] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rA_types[15] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rA_data[0] = <void*>_waves.tl_vsw_rA[double]             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rA_data[1] = <void*>_waves.tl_vsw_rA[double_complex]
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_data[0]) = ((void *)__pyx_fuse_1__pyx_f_6treams_7special_6_waves_tl_vsw_rA);

  /* "treams/special/_ufuncs.pyx":1317
 * ufunc_tl_vsw_rA_types[15] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rA_data[0] = <void*>_waves.tl_vsw_rA[double]
 * ufunc_tl_vsw_rA_data[1] = <void*>_waves.tl_vsw_rA[double_complex]             # <<<<<<<<<<<<<<
 * 
 * tl_vsw_rA = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_data[1]) = ((void *)__pyx_fuse_0__pyx_f_6treams_7special_6_waves_tl_vsw_rA);

  /* "treams/special/_ufuncs.pyx":1319
 * ufunc_tl_vsw_rA_data[1] = <void*>_waves.tl_vsw_rA[double_complex]
 * 
 * tl_vsw_rA = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_tl_vsw_rA_loops,
 *     ufunc_tl_vsw_rA_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rA_types, 2, 7, 1, 0, ((char *)"tl_vsw_rA"), ((char *)"tl_vsw_rA(lambda, mu, l, m, x, theta, phi)\n\nTranslation coefficient for vector spherical waves with the same parity\n\nDefinded by [#]_\n\n.. math::\n\n    A_{\\lambda\\mu lm}^{(1)}(x, \\theta, \\varphi) =\n    \\frac{\\gamma_{lm}}{\\gamma_{\\lambda\\mu}}\n    (-1)^m \\frac{2\\lambda + 1}{\\lambda (\\lambda + 1)} \\mathrm i^{\\lambda - l}\n    \\sqrt{\\pi \\frac{(l + m)!(\\lambda - \\mu)!}{(l - m)!(\\lambda + \\mu)!}} \\\\ \\cdot\n    \\sum_{p} \\mathrm i^p\\sqrt{2p + 1}\n    j_p(kr) Y_{p, m - \\mu}(\\theta, \\varphi)\n    \\begin{pmatrix}\n        l & \\lambda & p \\\\\n        m & -\\mu & -m + \\mu\n    \\end{pmatrix} \\\\ \\cdot\n    \\begin{pmatrix}\n        l & \\lambda & p \\\\\n        0 & 0 & 0\n    \\end{pmatrix}\n    \\left[l (l + 1) + \\lambda (\\lambda + 1) - p (p + 1)\\right]\n\nwith\n\n.. math::\n\n    \\gamma_{lm} = \\mathrm i \\sqrt{\\frac{2l + 1}{4\\pi l (l + 1)}\\frac{(l - m)!}{(l + m)!}}\n\nand the Wigner 3j-symbols (:func:`treams.special.wigner3j`) and the spherical Bessel\nfunctions. The summation runs over all\n:math:`p \\in \\{\\lambda + l, \\lambda + l - 2, \\dots, \\max(|\\lambda - l|, |\\mu - m|)\\}`.\n\nThese coefficients are used to translate from incident to incident modes and from\nscattered to scattered modes.\n\nArgs:\n    lambda (integer, array_like): Degree of the destination mode\n    mu (integer, array_like): Order of the destination mode\n    l (integer, array_like): Degree of the source mode\n    m (integer, array_like): Order of the source mode\n    x (complex, array_like): Translation in units of the wave number\n    theta (float or complex, array_like): Polar angle\n    phi (float, array_like): Azimuthal angel\n\nReturns:\n    complex\n\nReferences:\n    .. [#] L. Tsang, J. A. Kong, and R. T. Shi, Theory of Microwave Remote Sensing (Wiley Series in Remote Sensing and Image Processing) (Wiley-Interscience, 1985).\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1319, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_tl_vsw_rA, __pyx_t_2) < 0) __PYX_ERR(0, 1319, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":1388
 * cdef char ufunc_tl_vsw_rB_types[2 * 8]
 * 
 * ufunc_tl_vsw_rB_loops[0] = <np.PyUFuncGenericFunction>loop_D_llllddd             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd
 * ufunc_tl_vsw_rB_types[0] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_llllddd);

  /* "treams/special/_ufuncs.pyx":1389
 * 
 * ufunc_tl_vsw_rB_loops[0] = <np.PyUFuncGenericFunction>loop_D_llllddd
 * ufunc_tl_vsw_rB_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[0] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[1] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_loops[1]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_llllDDd);

  /* "treams/special/_ufuncs.pyx":1390
 * ufunc_tl_vsw_rB_loops[0] = <np.PyUFuncGenericFunction>loop_D_llllddd
 * ufunc_tl_vsw_rB_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd
 * ufunc_tl_vsw_rB_types[0] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[2] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[0]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1391
 * ufunc_tl_vsw_rB_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd
 * ufunc_tl_vsw_rB_types[0] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[1] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[2] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[3] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[1]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1392
 * ufunc_tl_vsw_rB_types[0] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[2] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[4] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[2]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1393
 * ufunc_tl_vsw_rB_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[2] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[3] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[4] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rB_types[5] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[3]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1394
 * ufunc_tl_vsw_rB_types[2] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[4] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rB_types[6] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[4]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1395
 * ufunc_tl_vsw_rB_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[4] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rB_types[5] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rB_types[7] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[5]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1396
 * ufunc_tl_vsw_rB_types[4] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rB_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rB_types[6] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rB_types[8] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[6]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1397
 * ufunc_tl_vsw_rB_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rB_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rB_types[7] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[8] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[9] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[7]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1398
 * ufunc_tl_vsw_rB_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rB_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rB_types[8] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[9] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[10] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[8]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1399
 * ufunc_tl_vsw_rB_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rB_types[8] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[9] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[10] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[11] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[9]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1400
 * ufunc_tl_vsw_rB_types[8] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[9] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[10] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[11] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[12] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[10]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1401
 * ufunc_tl_vsw_rB_types[9] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[10] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[11] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rB_types[13] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[11]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1402
 * ufunc_tl_vsw_rB_types[10] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[11] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[12] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rB_types[14] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[12]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1403
 * ufunc_tl_vsw_rB_types[11] = <char>np.NPY_LONG
 * ufunc_tl_vsw_rB_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rB_types[13] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[14] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rB_types[15] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[13]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1404
 * ufunc_tl_vsw_rB_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rB_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rB_types[14] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_types[15] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rB_data[0] = <void*>_waves.tl_vsw_rB[double]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[14]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1405
 * ufunc_tl_vsw_rB_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rB_types[14] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rB_types[15] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_data[0] = <void*>_waves.tl_vsw_rB[double]
 * ufunc_tl_vsw_rB_data[1] = <void*>_waves.tl_vsw_rB[double_complex]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types[15]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1406
 * ufunc_tl_vsw_rB_types[14] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_rB_types[15] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rB_data[0] = <void*>_waves.tl_vsw_rB[double]             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_rB_data[1] = <void*>_waves.tl_vsw_rB[double_complex]
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_data[0]) = ((void *)__pyx_fuse_1__pyx_f_6treams_7special_6_waves_tl_vsw_rB);

  /* "treams/special/_ufuncs.pyx":1407
 * ufunc_tl_vsw_rB_types[15] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_rB_data[0] = <void*>_waves.tl_vsw_rB[double]
 * ufunc_tl_vsw_rB_data[1] = <void*>_waves.tl_vsw_rB[double_complex]             # <<<<<<<<<<<<<<
 * 
 * tl_vsw_rB = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_data[1]) = ((void *)__pyx_fuse_0__pyx_f_6treams_7special_6_waves_tl_vsw_rB);

  /* "treams/special/_ufuncs.pyx":1409
 * ufunc_tl_vsw_rB_data[1] = <void*>_waves.tl_vsw_rB[double_complex]
 * 
 * tl_vsw_rB = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_tl_vsw_rB_loops,
 *     ufunc_tl_vsw_rB_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_rB_types, 2, 7, 1, 0, ((char *)"tl_vsw_rB"), ((char *)"tl_vsw_rB(lambda, mu, l, m, x, theta, phi)\n\nTranslation coefficient for vector spherical waves with opposite parity\n\nDefinded by [#]_\n\n.. math::\n\n    B_{\\lambda\\mu lm}^{(1)}(x, \\theta, \\varphi) =\n    \\frac{\\gamma_{lm}}{\\gamma_{\\lambda\\mu}}\n    (-1)^m \\frac{2\\lambda + 1}{\\lambda (\\lambda + 1)} \\mathrm i^{\\lambda - l}\n    \\sqrt{\\pi \\frac{(l + m)!(\\lambda - \\mu)!}{(l - m)!(\\lambda + \\mu)!}} \\\\ \\cdot\n    \\sum_{p} \\mathrm i^p\\sqrt{2p + 1}\n    j_p(kr) Y_{p, m - \\mu}(\\theta, \\varphi)\n    \\begin{pmatrix}\n        l & \\lambda & p \\\\\n        m & -\\mu & -m + \\mu\n    \\end{pmatrix} \\\\ \\cdot\n    \\begin{pmatrix}\n        l & \\lambda & p - 1 \\\\\n        0 & 0 & 0\n    \\end{pmatrix}\n    \\sqrt{\\left[(l + \\lambda + 1)^2 - p^2\\right]\\left[p^2 - (l - \\lambda)^2\\right]}\n\nwith\n\n.. math::\n\n    \\gamma_{lm} = \\mathrm i \\sqrt{\\frac{2l + 1}{4\\pi l (l + 1)}\\frac{(l - m)!}{(l + m)!}}\n\nand the Wigner 3j-symbols (:func:`treams.special.wigner3j`) and the spherical Bessel\nfunctions. The summation runs over all\n:math:`p \\in \\{\\lambda + l - 1, \\lambda + l - 3, \\dots,\n\\max(|\\lambda - l| + 1, |\\mu - m|)\\}`.\n\nThese coefficients are used to translate from incident to incident modes and from\nscattered to scattered modes.\n\nArgs:\n    lambda (integer, array_like): Degree of the destination mode\n    mu (integer, array_like): Order of the destination mode\n    l (integer, array_like): Degree of the source mode\n    m (integer, array_like): Order of the source mode\n    x (complex, array_like): Translation in units of the wave number\n    theta (float or complex, array_like): Polar angle\n    phi (float, array_like): Azimuthal angel\n\nReturns:\n    complex\n\nReferences:\n    .. [#] L. Tsang, J. A. Kong, and R. T. Shi, Theory of Microwave Remote Sensing (Wiley Series in Remote Sensing and Image Processing) (Wiley-Interscience, 1985).\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1409, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_tl_vsw_rB, __pyx_t_2) < 0) __PYX_ERR(0, 1409, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":1479
 * cdef char ufunc_tl_vsw_A_types[2 * 8]
 * 
 * ufunc_tl_vsw_A_loops[0] = <np.PyUFuncGenericFunction>loop_D_llllDdd             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd
 * ufunc_tl_vsw_A_types[0] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_llllDdd);

  /* "treams/special/_ufuncs.pyx":1480
 * 
 * ufunc_tl_vsw_A_loops[0] = <np.PyUFuncGenericFunction>loop_D_llllDdd
 * ufunc_tl_vsw_A_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[0] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[1] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_loops[1]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_llllDDd);

  /* "treams/special/_ufuncs.pyx":1481
 * ufunc_tl_vsw_A_loops[0] = <np.PyUFuncGenericFunction>loop_D_llllDdd
 * ufunc_tl_vsw_A_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd
 * ufunc_tl_vsw_A_types[0] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[2] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[0]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1482
 * ufunc_tl_vsw_A_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd
 * ufunc_tl_vsw_A_types[0] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[1] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[2] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[3] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[1]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1483
 * ufunc_tl_vsw_A_types[0] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[2] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[4] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[2]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1484
 * ufunc_tl_vsw_A_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[2] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[3] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_types[5] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[3]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1485
 * ufunc_tl_vsw_A_types[2] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[4] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_A_types[6] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[4]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1486
 * ufunc_tl_vsw_A_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_types[5] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_A_types[7] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[5]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1487
 * ufunc_tl_vsw_A_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_A_types[6] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_types[8] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[6]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1488
 * ufunc_tl_vsw_A_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_A_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_A_types[7] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[8] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[9] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[7]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1489
 * ufunc_tl_vsw_A_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_A_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_types[8] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[9] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[10] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[8]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1490
 * ufunc_tl_vsw_A_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_types[8] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[9] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[10] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[11] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[9]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1491
 * ufunc_tl_vsw_A_types[8] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[9] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[10] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[11] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[12] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[10]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1492
 * ufunc_tl_vsw_A_types[9] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[10] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[11] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_types[13] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[11]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1493
 * ufunc_tl_vsw_A_types[10] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[11] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[12] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_types[14] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[12]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1494
 * ufunc_tl_vsw_A_types[11] = <char>np.NPY_LONG
 * ufunc_tl_vsw_A_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_types[13] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[14] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_A_types[15] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[13]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1495
 * ufunc_tl_vsw_A_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_types[14] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_types[15] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_data[0] = <void*>_waves.tl_vsw_A[double]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[14]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1496
 * ufunc_tl_vsw_A_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_types[14] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_A_types[15] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_data[0] = <void*>_waves.tl_vsw_A[double]
 * ufunc_tl_vsw_A_data[1] = <void*>_waves.tl_vsw_A[double_complex]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types[15]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1497
 * ufunc_tl_vsw_A_types[14] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_A_types[15] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_data[0] = <void*>_waves.tl_vsw_A[double]             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_A_data[1] = <void*>_waves.tl_vsw_A[double_complex]
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_data[0]) = ((void *)__pyx_fuse_1__pyx_f_6treams_7special_6_waves_tl_vsw_A);

  /* "treams/special/_ufuncs.pyx":1498
 * ufunc_tl_vsw_A_types[15] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_A_data[0] = <void*>_waves.tl_vsw_A[double]
 * ufunc_tl_vsw_A_data[1] = <void*>_waves.tl_vsw_A[double_complex]             # <<<<<<<<<<<<<<
 * 
 * tl_vsw_A = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_data[1]) = ((void *)__pyx_fuse_0__pyx_f_6treams_7special_6_waves_tl_vsw_A);

  /* "treams/special/_ufuncs.pyx":1500
 * ufunc_tl_vsw_A_data[1] = <void*>_waves.tl_vsw_A[double_complex]
 * 
 * tl_vsw_A = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_tl_vsw_A_loops,
 *     ufunc_tl_vsw_A_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_A_types, 2, 7, 1, 0, ((char *)"tl_vsw_A"), ((char *)"tl_vsw_A(lambda, mu, l, m, x, theta, phi)\n\nTranslation coefficient for vector spherical waves with the same parity\n\nDefinded by [#]_\n\n.. math::\n\n    A_{\\lambda\\mu lm}^{(3)}(x, \\theta, \\varphi) =\n    \\frac{\\gamma_{lm}}{\\gamma_{\\lambda\\mu}}\n    (-1)^m \\frac{2\\lambda + 1}{\\lambda (\\lambda + 1)} \\mathrm i^{\\lambda - l}\n    \\sqrt{\\pi \\frac{(l + m)!(\\lambda - \\mu)!}{(l - m)!(\\lambda + \\mu)!}} \\\\ \\cdot\n    \\sum_{p} \\mathrm i^p\\sqrt{2p + 1}\n    h_p^{(1)}(kr) Y_{p, m - \\mu}(\\theta, \\varphi)\n    \\begin{pmatrix}\n        l & \\lambda & p \\\\\n        m & -\\mu & -m + \\mu\n    \\end{pmatrix} \\\\ \\cdot\n    \\begin{pmatrix}\n        l & \\lambda & p \\\\\n        0 & 0 & 0\n    \\end{pmatrix}\n    \\left[l (l + 1) + \\lambda (\\lambda + 1) - p (p + 1)\\right]\n\nwith\n\n.. math::\n\n    \\gamma_{lm}\n    = \\mathrm i \\sqrt{\\frac{2l + 1}{4\\pi l (l + 1)}\\frac{(l - m)!}{(l + m)!}}\n\nand the Wigner 3j-symbols (:func:`treams.special.wigner3j`) and the spherical Hankel\nfunctions. The summation runs over all\n:math:`p \\in \\{\\lambda + l, \\lambda + l - 2, \\dots, \\max(|\\lambda - l|, |\\mu - m|)\\}`.\n\nThese coefficients are used to translate from scattered to incident modes.\n\nArgs:\n    lambda (integer, array_like): Degree of the destination mode\n    mu (integer, array_like): Order of the destination mode\n    l (integer, array_like): Degree of the source mode\n    m (integer, array_like): Order of the source mode\n    x (complex, array_like): Translation in units of the wave number\n    theta (float or complex, array_like): Polar angle\n    phi (float, array_like): Azimuthal angel\n\nReturns:\n    complex\n\nReferences:\n    .. [#] L. Tsang, J. A. Kong, and R. T. Shi, Theory of Microwave Remote Sensing (Wiley Series in Remote Sensing and Image Processing) (Wiley-Interscience, 1985).\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1500, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_tl_vsw_A, __pyx_t_2) < 0) __PYX_ERR(0, 1500, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":1569
 * cdef char ufunc_tl_vsw_B_types[2 * 8]
 * 
 * ufunc_tl_vsw_B_loops[0] = <np.PyUFuncGenericFunction>loop_D_llllDdd             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd
 * ufunc_tl_vsw_B_types[0] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_llllDdd);

  /* "treams/special/_ufuncs.pyx":1570
 * 
 * ufunc_tl_vsw_B_loops[0] = <np.PyUFuncGenericFunction>loop_D_llllDdd
 * ufunc_tl_vsw_B_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[0] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[1] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_loops[1]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_llllDDd);

  /* "treams/special/_ufuncs.pyx":1571
 * ufunc_tl_vsw_B_loops[0] = <np.PyUFuncGenericFunction>loop_D_llllDdd
 * ufunc_tl_vsw_B_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd
 * ufunc_tl_vsw_B_types[0] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[2] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[0]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1572
 * ufunc_tl_vsw_B_loops[1] = <np.PyUFuncGenericFunction>loop_D_llllDDd
 * ufunc_tl_vsw_B_types[0] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[1] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[2] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[3] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[1]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1573
 * ufunc_tl_vsw_B_types[0] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[2] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[4] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[2]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1574
 * ufunc_tl_vsw_B_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[2] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[3] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_types[5] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[3]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1575
 * ufunc_tl_vsw_B_types[2] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[4] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_B_types[6] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[4]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1576
 * ufunc_tl_vsw_B_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_types[5] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_B_types[7] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[5]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1577
 * ufunc_tl_vsw_B_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_B_types[6] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_types[8] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[6]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1578
 * ufunc_tl_vsw_B_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_B_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_B_types[7] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[8] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[9] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[7]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1579
 * ufunc_tl_vsw_B_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_B_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_types[8] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[9] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[10] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[8]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1580
 * ufunc_tl_vsw_B_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_types[8] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[9] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[10] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[11] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[9]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1581
 * ufunc_tl_vsw_B_types[8] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[9] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[10] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[11] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[12] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[10]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1582
 * ufunc_tl_vsw_B_types[9] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[10] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[11] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_types[13] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[11]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1583
 * ufunc_tl_vsw_B_types[10] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[11] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[12] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_types[14] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[12]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1584
 * ufunc_tl_vsw_B_types[11] = <char>np.NPY_LONG
 * ufunc_tl_vsw_B_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_types[13] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[14] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_B_types[15] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[13]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1585
 * ufunc_tl_vsw_B_types[12] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_types[14] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_types[15] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_data[0] = <void*>_waves.tl_vsw_B[double]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[14]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1586
 * ufunc_tl_vsw_B_types[13] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_types[14] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_B_types[15] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_data[0] = <void*>_waves.tl_vsw_B[double]
 * ufunc_tl_vsw_B_data[1] = <void*>_waves.tl_vsw_B[double_complex]
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types[15]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1587
 * ufunc_tl_vsw_B_types[14] = <char>np.NPY_DOUBLE
 * ufunc_tl_vsw_B_types[15] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_data[0] = <void*>_waves.tl_vsw_B[double]             # <<<<<<<<<<<<<<
 * ufunc_tl_vsw_B_data[1] = <void*>_waves.tl_vsw_B[double_complex]
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_data[0]) = ((void *)__pyx_fuse_1__pyx_f_6treams_7special_6_waves_tl_vsw_B);

  /* "treams/special/_ufuncs.pyx":1588
 * ufunc_tl_vsw_B_types[15] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vsw_B_data[0] = <void*>_waves.tl_vsw_B[double]
 * ufunc_tl_vsw_B_data[1] = <void*>_waves.tl_vsw_B[double_complex]             # <<<<<<<<<<<<<<
 * 
 * tl_vsw_B = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_data[1]) = ((void *)__pyx_fuse_0__pyx_f_6treams_7special_6_waves_tl_vsw_B);

  /* "treams/special/_ufuncs.pyx":1590
 * ufunc_tl_vsw_B_data[1] = <void*>_waves.tl_vsw_B[double_complex]
 * 
 * tl_vsw_B = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_tl_vsw_B_loops,
 *     ufunc_tl_vsw_B_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vsw_B_types, 2, 7, 1, 0, ((char *)"tl_vsw_B"), ((char *)"tl_vsw_B(lambda, mu, l, m, x, theta, phi)\n\nTranslation coefficient for vector spherical waves with opposite parity\n\nDefinded by [#]_\n\n.. math::\n\n    B_{\\lambda\\mu lm}^{(3)}(x, \\theta, \\varphi) =\n    \\frac{\\gamma_{lm}}{\\gamma_{\\lambda\\mu}}\n    (-1)^m \\frac{2\\lambda + 1}{\\lambda (\\lambda + 1)} \\mathrm i^{\\lambda - l}\n    \\sqrt{\\pi \\frac{(l + m)!(\\lambda - \\mu)!}{(l - m)!(\\lambda + \\mu)!}} \\\\ \\cdot\n    \\sum_{p} \\mathrm i^p\\sqrt{2p + 1}\n    h_p^{(1)}(kr) Y_{p, m - \\mu}(\\theta, \\varphi)\n    \\begin{pmatrix}\n        l & \\lambda & p \\\\\n        m & -\\mu & -m + \\mu\n    \\end{pmatrix} \\\\ \\cdot\n    \\begin{pmatrix}\n        l & \\lambda & p - 1 \\\\\n        0 & 0 & 0\n    \\end{pmatrix}\n    \\sqrt{\\left[(l + \\lambda + 1)^2 - p^2\\right]\\left[p^2 - (l - \\lambda)^2\\right]}\n\nwith\n\n.. math::\n\n    \\gamma_{lm}\n    = \\mathrm i \\sqrt{\\frac{2l + 1}{4\\pi l (l + 1)}\\frac{(l - m)!}{(l + m)!}}\n\nand the Winger 3j-symbols (:func:`treams.special.wigner3j`) and the spherical Hankel\nfunctions. The summation runs over all\n:math:`p \\in \\{\\lambda + l - 1, \\lambda + l - 3, \\dots, \\max(|\\lambda - l| + 1, |\\mu - m|)\\}`.\n\nThese coefficients are used to translate from scattered to incident modes.\n\nArgs:\n    lambda (integer, array_like): Degree of the destination mode\n    mu (integer, array_like): Order of the destination mode\n    l (integer, array_like): Degree of the source mode\n    m (integer, array_like): Order of the source mode\n    x (complex, array_like): Translation in units of the wave number\n    theta (float or complex, array_like): Polar angle\n    phi (float, array_like): Azimuthal angel\n\nReturns:\n    complex\n\nReferences:\n    .. [#] L. Tsang, J. A. Kong, and R. T. Shi, Theory of Microwave Remote Sensing (Wiley Series in Remote Sensing and Image Processing) (Wiley-Interscience, 1985).\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1590, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_tl_vsw_B, __pyx_t_2) < 0) __PYX_ERR(0, 1590, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":1659
 * cdef char ufunc_tl_vcw_types[8]
 * 
 * ufunc_tl_vcw_loops[0] = <np.PyUFuncGenericFunction>loop_D_dldlDdd             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_types[0] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_types[1] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_dldlDdd);

  /* "treams/special/_ufuncs.pyx":1660
 * 
 * ufunc_tl_vcw_loops[0] = <np.PyUFuncGenericFunction>loop_D_dldlDdd
 * ufunc_tl_vcw_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vcw_types[2] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_types[0]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1661
 * ufunc_tl_vcw_loops[0] = <np.PyUFuncGenericFunction>loop_D_dldlDdd
 * ufunc_tl_vcw_types[0] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_types[1] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_types[2] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_types[3] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_types[1]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1662
 * ufunc_tl_vcw_types[0] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vcw_types[2] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vcw_types[4] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_types[2]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1663
 * ufunc_tl_vcw_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vcw_types[2] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_types[3] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vcw_types[5] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_types[3]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1664
 * ufunc_tl_vcw_types[2] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vcw_types[4] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_types[6] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_types[4]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1665
 * ufunc_tl_vcw_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vcw_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vcw_types[5] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_types[7] = <char>np.NPY_CDOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_types[5]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1666
 * ufunc_tl_vcw_types[4] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vcw_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_types[6] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vcw_data[0] = <void*>_waves.tl_vcw
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_types[6]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1667
 * ufunc_tl_vcw_types[5] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_types[7] = <char>np.NPY_CDOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_data[0] = <void*>_waves.tl_vcw
 * 
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_types[7]) = ((char)NPY_CDOUBLE);

  /* "treams/special/_ufuncs.pyx":1668
 * ufunc_tl_vcw_types[6] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_types[7] = <char>np.NPY_CDOUBLE
 * ufunc_tl_vcw_data[0] = <void*>_waves.tl_vcw             # <<<<<<<<<<<<<<
 * 
 * tl_vcw = np.PyUFunc_FromFuncAndData(
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_data[0]) = ((void *)__pyx_f_6treams_7special_6_waves_tl_vcw);

  /* "treams/special/_ufuncs.pyx":1670
 * ufunc_tl_vcw_data[0] = <void*>_waves.tl_vcw
 * 
 * tl_vcw = np.PyUFunc_FromFuncAndData(             # <<<<<<<<<<<<<<
 *     ufunc_tl_vcw_loops,
 *     ufunc_tl_vcw_data,
 */
  __pyx_t_2 = PyUFunc_FromFuncAndData(__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_loops, __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_data, __pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_types, 1, 7, 1, 0, ((char *)"tl_vcw"), ((char *)"tl_vcw(kz1, mu, kz2, m, k, xrho, phi, z)\n\nTranslation coefficient for vector cylindrical waves from scattered to incident modes\n\nDefinded by\n\n.. math::\n\n    \\begin{cases}\n        H_{m - \\mu}^{(1)}(x_\\rho) \\mathrm e^{\\mathrm i ((m - \\mu) \\varphi + k_{z,1}z)}\n        & \\text{if }k_{z,1} = k_{z,2} \\\\\n        0 & \\text{otherwise}\n    \\end{cases}\n\nwhere :math:`H_{m - \\mu}^{(1)}` are the Hankel functions.\n\nThese coefficients are used to translate from incident to incident modes and from\nscattered to scattered modes.\n\nArgs:\n    kz1 (float, array_like): Z component of the destination mode's wave vector\n    mu (integer, array_like): Order of the destination mode\n    kz2 (float, array_like): Z component of the source mode's wave vector\n    m (integer, array_like): Order of the source mode\n    xrho (complex, array_like): Translation in radial direction in units of the wave number\n    phi (float, array_like): Azimuthal angel\n    z (float, array_like): Translation in z direction\n\nReturns:\n    complex\n"), 0); if (unlikely(!__pyx_t_2)) __PYX_ERR(0, 1670, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_2);
  if (PyDict_SetItem(__pyx_d, __pyx_n_s_tl_vcw, __pyx_t_2) < 0) __PYX_ERR(0, 1670, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 0;

  /* "treams/special/_ufuncs.pyx":1718
 * cdef char ufunc_tl_vcw_r_types[2 * 8]
 * 
 * ufunc_tl_vcw_r_loops[0] = <np.PyUFuncGenericFunction>loop_D_dldlddd             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_r_loops[1] = <np.PyUFuncGenericFunction>loop_D_dldlDdd
 * ufunc_tl_vcw_r_types[0] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_r_loops[0]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_dldlddd);

  /* "treams/special/_ufuncs.pyx":1719
 * 
 * ufunc_tl_vcw_r_loops[0] = <np.PyUFuncGenericFunction>loop_D_dldlddd
 * ufunc_tl_vcw_r_loops[1] = <np.PyUFuncGenericFunction>loop_D_dldlDdd             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_r_types[0] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_r_types[1] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_r_loops[1]) = ((PyUFuncGenericFunction)__pyx_f_6treams_7special_7_ufuncs_loop_D_dldlDdd);

  /* "treams/special/_ufuncs.pyx":1720
 * ufunc_tl_vcw_r_loops[0] = <np.PyUFuncGenericFunction>loop_D_dldlddd
 * ufunc_tl_vcw_r_loops[1] = <np.PyUFuncGenericFunction>loop_D_dldlDdd
 * ufunc_tl_vcw_r_types[0] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_r_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vcw_r_types[2] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_r_types[0]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1721
 * ufunc_tl_vcw_r_loops[1] = <np.PyUFuncGenericFunction>loop_D_dldlDdd
 * ufunc_tl_vcw_r_types[0] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_r_types[1] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_r_types[2] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_r_types[3] = <char>np.NPY_LONG
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_r_types[1]) = ((char)NPY_LONG);

  /* "treams/special/_ufuncs.pyx":1722
 * ufunc_tl_vcw_r_types[0] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_r_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vcw_r_types[2] = <char>np.NPY_DOUBLE             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_r_types[3] = <char>np.NPY_LONG
 * ufunc_tl_vcw_r_types[4] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_r_types[2]) = ((char)NPY_DOUBLE);

  /* "treams/special/_ufuncs.pyx":1723
 * ufunc_tl_vcw_r_types[1] = <char>np.NPY_LONG
 * ufunc_tl_vcw_r_types[2] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_r_types[3] = <char>np.NPY_LONG             # <<<<<<<<<<<<<<
 * ufunc_tl_vcw_r_types[4] = <char>np.NPY_DOUBLE
 * ufunc_tl_vcw_r_types[5] = <char>np.NPY_DOUBLE
 */
  (__pyx_v_6treams_7special_7_ufuncs_ufunc_tl_vcw_r_types[3]) = ((char)NPY_LONG);

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    exc_value = tstate->current_exception;
    tstate->current_exception = 0;
    *value = exc_value;
    *type = NULL;
    *tb = NULL;
    if (exc_value) {
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        #if CYTHON_COMPILING_IN_CPYTHON
        *tb = ((PyBaseExceptionObject*) exc_value)->traceback;
        Py_XINCREF(*tb);
        #else
        *tb = PyException_GetTraceback(exc_value);
        #endif
    }
#else
    *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
}
#endif

/* PyObjectGetAttrStr */
#if CYTHON_USE_TYPE_SLOTS
static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
    PyTypeObject* tp = Py_TYPE(obj);
    if (likely(tp->tp_getattro))
        return tp->tp_getattro(obj, attr_name);
#if PY_MAJOR_VERSION < 3
    if (likely(tp->tp_getattr))
        return tp->tp_getattr(obj, PyString_AS_STRING(attr_name));
#endif
    return PyObject_GetAttr(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;
}

/* GetBuiltinName */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStrNoError(__pyx_b, name);
    if (unlikely(!result) && !PyErr_Occurred()) {
        PyErr_Format(PyExc_NameError,
#if PY_MAJOR_VERSION >= 3
            "name '%U' is not defined", name);
#else
            "name '%.200s' is not defined", PyString_AS_STRING(name));
#endif
    }
    return result;
}

/* GetTopmostException */
#if CYTHON_USE_EXC_INFO_STACK && CYTHON_FAST_THREAD_STATE
static _PyErr_StackItem *
__Pyx_PyErr_GetTopmostException(PyThreadState *tstate)
{
    _PyErr_StackItem *exc_info = tstate->exc_info;
    while ((exc_info->exc_value == NULL || exc_info->exc_value == 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 && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = __Pyx_PyErr_GetTopmostException(tstate);
    PyObject *exc_value = exc_info->exc_value;
    if (exc_value == NULL || exc_value == Py_None) {
        *value = NULL;
        *type = NULL;
        *tb = NULL;
    } else {
        *value = exc_value;
        Py_INCREF(*value);
        *type = (PyObject*) Py_TYPE(exc_value);
        Py_INCREF(*type);
        *tb = PyException_GetTraceback(exc_value);
    }
  #elif 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;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
  #endif
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
  #if CYTHON_USE_EXC_INFO_STACK && PY_VERSION_HEX >= 0x030B00a4
    _PyErr_StackItem *exc_info = tstate->exc_info;
    PyObject *tmp_value = exc_info->exc_value;
    exc_info->exc_value = value;
    Py_XDECREF(tmp_value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
  #else
    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
}
#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 = NULL, *local_value, *local_tb = NULL;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
  #if PY_VERSION_HEX >= 0x030C00A6
    local_value = tstate->current_exception;
    tstate->current_exception = 0;
    if (likely(local_value)) {
        local_type = (PyObject*) Py_TYPE(local_value);
        Py_INCREF(local_type);
        local_tb = PyException_GetTraceback(local_value);
    }
  #else
    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;
  #endif
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE && PY_VERSION_HEX >= 0x030C00A6
    if (unlikely(tstate->current_exception))
#elif 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;
      #if PY_VERSION_HEX >= 0x030B00a4
        tmp_value = exc_info->exc_value;
        exc_info->exc_value = local_value;
        tmp_type = NULL;
        tmp_tb = NULL;
        Py_XDECREF(local_type);
        Py_XDECREF(local_tb);
      #else
        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;
      #endif
    }
    #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;
}

/* 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

/* RaiseException */
#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause) {
    __Pyx_PyThreadState_declare
    CYTHON_UNUSED_VAR(cause);
    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 PY_VERSION_HEX >= 0x030C00A6
        PyException_SetTraceback(value, tb);
      #elif CYTHON_FAST_THREAD_STATE
        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);
        }
#else
        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);
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* ErrOccurredWithGIL */
static CYTHON_INLINE int __Pyx_ErrOccurredWithGIL(void) {
  int err;
  #ifdef WITH_THREAD
  PyGILState_STATE _save = PyGILState_Ensure();
  #endif
  err = !!PyErr_Occurred();
  #ifdef WITH_THREAD
  PyGILState_Release(_save);
  #endif
  return err;
}

/* TypeImport */
#ifndef __PYX_HAVE_RT_ImportType_3_0_4
#define __PYX_HAVE_RT_ImportType_3_0_4
static PyTypeObject *__Pyx_ImportType_3_0_4(PyObject *module, const char *module_name, const char *class_name,
    size_t size, size_t alignment, enum __Pyx_ImportType_CheckSize_3_0_4 check_size)
{
    PyObject *result = 0;
    char warning[200];
    Py_ssize_t basicsize;
    Py_ssize_t itemsize;
#if CYTHON_COMPILING_IN_LIMITED_API
    PyObject *py_basicsize;
    PyObject *py_itemsize;
#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;
    }
#if !CYTHON_COMPILING_IN_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
    itemsize = ((PyTypeObject *)result)->tp_itemsize;
#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;
    py_itemsize = PyObject_GetAttrString(result, "__itemsize__");
    if (!py_itemsize)
        goto bad;
    itemsize = PyLong_AsSsize_t(py_itemsize);
    Py_DECREF(py_itemsize);
    py_itemsize = 0;
    if (itemsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if (itemsize) {
        if (size % alignment) {
            alignment = size % alignment;
        }
        if (itemsize < (Py_ssize_t)alignment)
            itemsize = (Py_ssize_t)alignment;
    }
    if ((size_t)(basicsize + itemsize) < 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+itemsize);
        goto bad;
    }
    if (check_size == __Pyx_ImportType_CheckSize_Error_3_0_4 &&
            ((size_t)basicsize > size || (size_t)(basicsize + itemsize) < size)) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s size changed, may indicate binary incompatibility. "
            "Expected %zd from C header, got %zd-%zd from PyObject",
            module_name, class_name, size, basicsize, basicsize+itemsize);
        goto bad;
    }
    else if (check_size == __Pyx_ImportType_CheckSize_Warn_3_0_4 && (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

/* 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

/* CLineInTraceback */
#ifndef CYTHON_CLINE_IN_TRACEBACK
static int __Pyx_CLineForTraceback(PyThreadState *tstate, int c_line) {
    PyObject *use_cline;
    PyObject *ptype, *pvalue, *ptraceback;
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject **cython_runtime_dict;
#endif
    CYTHON_MAYBE_UNUSED_VAR(tstate);
    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_GetAttrStrNoError(__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 */
#if !CYTHON_COMPILING_IN_LIMITED_API
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);
}
#endif

/* AddTraceback */
#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
#if PY_VERSION_HEX >= 0x030b00a6 && !CYTHON_COMPILING_IN_LIMITED_API
  #ifndef Py_BUILD_CORE
    #define Py_BUILD_CORE 1
  #endif
  #include "internal/pycore_frame.h"
#endif
#if CYTHON_COMPILING_IN_LIMITED_API
static PyObject *__Pyx_PyCode_Replace_For_AddTraceback(PyObject *code, PyObject *scratch_dict,
                                                       PyObject *firstlineno, PyObject *name) {
    PyObject *replace = NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_firstlineno", firstlineno))) return NULL;
    if (unlikely(PyDict_SetItemString(scratch_dict, "co_name", name))) return NULL;
    replace = PyObject_GetAttrString(code, "replace");
    if (likely(replace)) {
        PyObject *result;
        result = PyObject_Call(replace, __pyx_empty_tuple, scratch_dict);
        Py_DECREF(replace);
        return result;
    }
    #if __PYX_LIMITED_VERSION_HEX < 0x030780000
    PyErr_Clear();
    {
        PyObject *compiled = NULL, *result = NULL;
        if (unlikely(PyDict_SetItemString(scratch_dict, "code", code))) return NULL;
        if (unlikely(PyDict_SetItemString(scratch_dict, "type", (PyObject*)(&PyType_Type)))) return NULL;
        compiled = Py_CompileString(
            "out = type(code)(\n"
            "  code.co_argcount, code.co_kwonlyargcount, code.co_nlocals, code.co_stacksize,\n"
            "  code.co_flags, code.co_code, code.co_consts, code.co_names,\n"
            "  code.co_varnames, code.co_filename, co_name, co_firstlineno,\n"
            "  code.co_lnotab)\n", "<dummy>", Py_file_input);
        if (!compiled) return NULL;
        result = PyEval_EvalCode(compiled, scratch_dict, scratch_dict);
        Py_DECREF(compiled);
        if (!result) PyErr_Print();
        Py_DECREF(result);
        result = PyDict_GetItemString(scratch_dict, "out");
        if (result) Py_INCREF(result);
        return result;
    }
    #endif
}
static void __Pyx_AddTraceback(const char *funcname, int c_line,
                               int py_line, const char *filename) {
    PyObject *code_object = NULL, *py_py_line = NULL, *py_funcname = NULL, *dict = NULL;
    PyObject *replace = NULL, *getframe = NULL, *frame = NULL;
    PyObject *exc_type, *exc_value, *exc_traceback;
    int success = 0;
    if (c_line) {
        (void) __pyx_cfilenm;
        (void) __Pyx_CLineForTraceback(__Pyx_PyThreadState_Current, c_line);
    }
    PyErr_Fetch(&exc_type, &exc_value, &exc_traceback);
    code_object = Py_CompileString("_getframe()", filename, Py_eval_input);
    if (unlikely(!code_object)) goto bad;
    py_py_line = PyLong_FromLong(py_line);
    if (unlikely(!py_py_line)) goto bad;
    py_funcname = PyUnicode_FromString(funcname);
    if (unlikely(!py_funcname)) goto bad;
    dict = PyDict_New();
    if (unlikely(!dict)) goto bad;
    {
        PyObject *old_code_object = code_object;
        code_object = __Pyx_PyCode_Replace_For_AddTraceback(code_object, dict, py_py_line, py_funcname);
        Py_DECREF(old_code_object);
    }
    if (unlikely(!code_object)) goto bad;
    getframe = PySys_GetObject("_getframe");
    if (unlikely(!getframe)) goto bad;
    if (unlikely(PyDict_SetItemString(dict, "_getframe", getframe))) goto bad;
    frame = PyEval_EvalCode(code_object, dict, dict);
    if (unlikely(!frame) || frame == Py_None) goto bad;
    success = 1;
  bad:
    PyErr_Restore(exc_type, exc_value, exc_traceback);
    Py_XDECREF(code_object);
    Py_XDECREF(py_py_line);
    Py_XDECREF(py_funcname);
    Py_XDECREF(dict);
    Py_XDECREF(replace);
    if (success) {
        PyTraceBack_Here(
            (struct _frame*)frame);
    }
    Py_XDECREF(frame);
}
#else
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,
        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;
    PyObject *ptype, *pvalue, *ptraceback;
    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) {
        __Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) {
            /* If the code object creation fails, then we should clear the
               fetched exception references and propagate the new exception */
            Py_XDECREF(ptype);
            Py_XDECREF(pvalue);
            Py_XDECREF(ptraceback);
            goto bad;
        }
        __Pyx_ErrRestoreInState(tstate, ptype, pvalue, ptraceback);
        __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);
}
#endif

/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #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 && (1) && (!0 || __cplusplus)
#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) && (a.real >= 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

/* Declarations */
#if CYTHON_CCOMPLEX && (1) && (!0 || __cplusplus)
  #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 && (1) && (!0 || __cplusplus)
#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) && (a.real >= 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

/* FormatTypeName */
#if CYTHON_COMPILING_IN_LIMITED_API
static __Pyx_TypeName
__Pyx_PyType_GetName(PyTypeObject* tp)
{
    PyObject *name = __Pyx_PyObject_GetAttrStr((PyObject *)tp,
                                               __pyx_n_s_name);
    if (unlikely(name == NULL) || unlikely(!PyUnicode_Check(name))) {
        PyErr_Clear();
        Py_XDECREF(name);
        name = __Pyx_NewRef(__pyx_n_s__3);
    }
    return name;
}
#endif

/* 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;
#if !CYTHON_COMPILING_IN_LIMITED_API
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
#else
        PyObject *from_bytes, *result = NULL;
        PyObject *py_bytes = NULL, *arg_tuple = NULL, *kwds = NULL, *order_str = NULL;
        from_bytes = PyObject_GetAttrString((PyObject*)&PyInt_Type, "from_bytes");
        if (!from_bytes) return NULL;
        py_bytes = PyBytes_FromStringAndSize((char*)bytes, sizeof(long));
        if (!py_bytes) goto limited_bad;
        order_str = PyUnicode_FromString(little ? "little" : "big");
        if (!order_str) goto limited_bad;
        arg_tuple = PyTuple_Pack(2, py_bytes, order_str);
        if (!arg_tuple) goto limited_bad;
        kwds = PyDict_New();
        if (!kwds) goto limited_bad;
        if (PyDict_SetItemString(kwds, "signed", __Pyx_NewRef(!is_unsigned ? Py_True : Py_False))) goto limited_bad;
        result = PyObject_Call(from_bytes, arg_tuple, kwds);
        limited_bad:
        Py_XDECREF(from_bytes);
        Py_XDECREF(py_bytes);
        Py_XDECREF(order_str);
        Py_XDECREF(arg_tuple);
        Py_XDECREF(kwds);
        return result;
#endif
    }
}

/* 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;\
    }

/* 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
            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
                goto raise_neg_overflow;
            } else if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_DigitCount(x)) {
                    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 && PY_VERSION_HEX < 0x030C00A7
            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
            if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(long, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_SignedDigitCount(x)) {
                    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
            }
        }
        {
            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 ret = -1;
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                ret = _PyLong_AsByteArray((PyLongObject *)v,
                                           bytes, sizeof(val),
                                           is_little, !is_unsigned);
#else
                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
                int bits, remaining_bits, is_negative = 0;
                long idigit;
                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
                if (unlikely(!PyLong_CheckExact(v))) {
                    PyObject *tmp = v;
                    v = PyNumber_Long(v);
                    assert(PyLong_CheckExact(v));
                    Py_DECREF(tmp);
                    if (unlikely(!v)) return (long) -1;
                }
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                if (Py_SIZE(x) == 0)
                    return (long) 0;
                is_negative = Py_SIZE(x) < 0;
#else
                {
                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                    if (unlikely(result < 0))
                        return (long) -1;
                    is_negative = result == 1;
                }
#endif
                if (is_unsigned && unlikely(is_negative)) {
                    goto raise_neg_overflow;
                } else if (is_negative) {
                    stepval = PyNumber_Invert(v);
                    if (unlikely(!stepval))
                        return (long) -1;
                } else {
                    stepval = __Pyx_NewRef(v);
                }
                val = (long) 0;
                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
                for (bits = 0; bits < (int) sizeof(long) * 8 - chunk_size; bits += chunk_size) {
                    PyObject *tmp, *digit;
                    digit = PyNumber_And(stepval, mask);
                    if (unlikely(!digit)) goto done;
                    idigit = PyLong_AsLong(digit);
                    Py_DECREF(digit);
                    if (unlikely(idigit < 0)) goto done;
                    tmp = PyNumber_Rshift(stepval, shift);
                    if (unlikely(!tmp)) goto done;
                    Py_DECREF(stepval); stepval = tmp;
                    val |= ((long) idigit) << bits;
                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                    if (Py_SIZE(stepval) == 0)
                        goto unpacking_done;
                    #endif
                }
                idigit = PyLong_AsLong(stepval);
                if (unlikely(idigit < 0)) goto done;
                remaining_bits = ((int) sizeof(long) * 8) - bits - (is_unsigned ? 0 : 1);
                if (unlikely(idigit >= (1L << remaining_bits)))
                    goto raise_overflow;
                val |= ((long) idigit) << bits;
            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
            unpacking_done:
            #endif
                if (!is_unsigned) {
                    if (unlikely(val & (((long) 1) << (sizeof(long) * 8 - 1))))
                        goto raise_overflow;
                    if (is_negative)
                        val = ~val;
                }
                ret = 0;
            done:
                Py_XDECREF(shift);
                Py_XDECREF(mask);
                Py_XDECREF(stepval);
#endif
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
            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 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
            if (unlikely(__Pyx_PyLong_IsNeg(x))) {
                goto raise_neg_overflow;
            } else if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_upylong, __Pyx_PyLong_CompactValueUnsigned(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_DigitCount(x)) {
                    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 && PY_VERSION_HEX < 0x030C00A7
            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
            if (__Pyx_PyLong_IsCompact(x)) {
                __PYX_VERIFY_RETURN_INT(int, __Pyx_compact_pylong, __Pyx_PyLong_CompactValue(x))
            } else {
                const digit* digits = __Pyx_PyLong_Digits(x);
                assert(__Pyx_PyLong_DigitCount(x) > 1);
                switch (__Pyx_PyLong_SignedDigitCount(x)) {
                    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
            }
        }
        {
            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 ret = -1;
#if !(CYTHON_COMPILING_IN_PYPY || CYTHON_COMPILING_IN_LIMITED_API) || defined(_PyLong_AsByteArray)
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                ret = _PyLong_AsByteArray((PyLongObject *)v,
                                           bytes, sizeof(val),
                                           is_little, !is_unsigned);
#else
                PyObject *stepval = NULL, *mask = NULL, *shift = NULL;
                int bits, remaining_bits, is_negative = 0;
                long idigit;
                int chunk_size = (sizeof(long) < 8) ? 30 : 62;
                if (unlikely(!PyLong_CheckExact(v))) {
                    PyObject *tmp = v;
                    v = PyNumber_Long(v);
                    assert(PyLong_CheckExact(v));
                    Py_DECREF(tmp);
                    if (unlikely(!v)) return (int) -1;
                }
#if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                if (Py_SIZE(x) == 0)
                    return (int) 0;
                is_negative = Py_SIZE(x) < 0;
#else
                {
                    int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                    if (unlikely(result < 0))
                        return (int) -1;
                    is_negative = result == 1;
                }
#endif
                if (is_unsigned && unlikely(is_negative)) {
                    goto raise_neg_overflow;
                } else if (is_negative) {
                    stepval = PyNumber_Invert(v);
                    if (unlikely(!stepval))
                        return (int) -1;
                } else {
                    stepval = __Pyx_NewRef(v);
                }
                val = (int) 0;
                mask = PyLong_FromLong((1L << chunk_size) - 1); if (unlikely(!mask)) goto done;
                shift = PyLong_FromLong(chunk_size); if (unlikely(!shift)) goto done;
                for (bits = 0; bits < (int) sizeof(int) * 8 - chunk_size; bits += chunk_size) {
                    PyObject *tmp, *digit;
                    digit = PyNumber_And(stepval, mask);
                    if (unlikely(!digit)) goto done;
                    idigit = PyLong_AsLong(digit);
                    Py_DECREF(digit);
                    if (unlikely(idigit < 0)) goto done;
                    tmp = PyNumber_Rshift(stepval, shift);
                    if (unlikely(!tmp)) goto done;
                    Py_DECREF(stepval); stepval = tmp;
                    val |= ((int) idigit) << bits;
                    #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
                    if (Py_SIZE(stepval) == 0)
                        goto unpacking_done;
                    #endif
                }
                idigit = PyLong_AsLong(stepval);
                if (unlikely(idigit < 0)) goto done;
                remaining_bits = ((int) sizeof(int) * 8) - bits - (is_unsigned ? 0 : 1);
                if (unlikely(idigit >= (1L << remaining_bits)))
                    goto raise_overflow;
                val |= ((int) idigit) << bits;
            #if CYTHON_COMPILING_IN_LIMITED_API && PY_VERSION_HEX < 0x030B0000
            unpacking_done:
            #endif
                if (!is_unsigned) {
                    if (unlikely(val & (((int) 1) << (sizeof(int) * 8 - 1))))
                        goto raise_overflow;
                    if (is_negative)
                        val = ~val;
                }
                ret = 0;
            done:
                Py_XDECREF(shift);
                Py_XDECREF(mask);
                Py_XDECREF(stepval);
#endif
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
            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;
}

/* FastTypeChecks */
#if CYTHON_COMPILING_IN_CPYTHON
static int __Pyx_InBases(PyTypeObject *a, PyTypeObject *b) {
    while (a) {
        a = __Pyx_PyType_GetSlot(a, tp_base, PyTypeObject*);
        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);
}
static CYTHON_INLINE int __Pyx_IsAnySubtype2(PyTypeObject *cls, PyTypeObject *a, PyTypeObject *b) {
    PyObject *mro;
    if (cls == a || cls == b) return 1;
    mro = cls->tp_mro;
    if (likely(mro)) {
        Py_ssize_t i, n;
        n = PyTuple_GET_SIZE(mro);
        for (i = 0; i < n; i++) {
            PyObject *base = PyTuple_GET_ITEM(mro, i);
            if (base == (PyObject *)a || base == (PyObject *)b)
                return 1;
        }
        return 0;
    }
    return __Pyx_InBases(cls, a) || __Pyx_InBases(cls, 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) {
    if (exc_type1) {
        return __Pyx_IsAnySubtype2((PyTypeObject*)err, (PyTypeObject*)exc_type1, (PyTypeObject*)exc_type2);
    } else {
        return __Pyx_IsSubtype((PyTypeObject*)err, (PyTypeObject*)exc_type2);
    }
}
#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

/* CheckBinaryVersion */
static unsigned long __Pyx_get_runtime_version() {
#if __PYX_LIMITED_VERSION_HEX >= 0x030B00A4
    return Py_Version & ~0xFFUL;
#else
    const char* rt_version = Py_GetVersion();
    unsigned long version = 0;
    unsigned long factor = 0x01000000UL;
    unsigned int digit = 0;
    int i = 0;
    while (factor) {
        while ('0' <= rt_version[i] && rt_version[i] <= '9') {
            digit = digit * 10 + (unsigned int) (rt_version[i] - '0');
            ++i;
        }
        version += factor * digit;
        if (rt_version[i] != '.')
            break;
        digit = 0;
        factor >>= 8;
        ++i;
    }
    return version;
#endif
}
static int __Pyx_check_binary_version(unsigned long ct_version, unsigned long rt_version, int allow_newer) {
    const unsigned long MAJOR_MINOR = 0xFFFF0000UL;
    if ((rt_version & MAJOR_MINOR) == (ct_version & MAJOR_MINOR))
        return 0;
    if (likely(allow_newer && (rt_version & MAJOR_MINOR) > (ct_version & MAJOR_MINOR)))
        return 1;
    {
        char message[200];
        PyOS_snprintf(message, sizeof(message),
                      "compile time Python version %d.%d "
                      "of module '%.100s' "
                      "%s "
                      "runtime version %d.%d",
                       (int) (ct_version >> 24), (int) ((ct_version >> 16) & 0xFF),
                       __Pyx_MODULE_NAME,
                       (allow_newer) ? "was newer than" : "does not match",
                       (int) (rt_version >> 24), (int) ((rt_version >> 16) & 0xFF)
       );
        return PyErr_WarnEx(NULL, message, 1);
    }
}

/* VoidPtrImport */
#ifndef __PYX_HAVE_RT_ImportVoidPtr_3_0_4
#define __PYX_HAVE_RT_ImportVoidPtr_3_0_4
static int __Pyx_ImportVoidPtr_3_0_4(PyObject *module, const char *name, void **p, const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
    if (!d)
        goto bad;
    cobj = PyDict_GetItemString(d, name);
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%.200s does not export expected C variable %.200s",
                PyModule_GetName(module), name);
        goto bad;
    }
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C variable %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), name, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    *p = PyCapsule_GetPointer(cobj, sig);
    if (!(*p))
        goto bad;
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(d);
    return -1;
}
#endif

/* FunctionImport */
#ifndef __PYX_HAVE_RT_ImportFunction_3_0_4
#define __PYX_HAVE_RT_ImportFunction_3_0_4
static int __Pyx_ImportFunction_3_0_4(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
    if (!d)
        goto bad;
    cobj = PyDict_GetItemString(d, funcname);
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%.200s does not export expected C function %.200s",
                PyModule_GetName(module), funcname);
        goto bad;
    }
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    tmp.p = PyCapsule_GetPointer(cobj, sig);
    *f = tmp.fp;
    if (!(*f))
        goto bad;
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(d);
    return -1;
}
#endif

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

#include <string.h>
static CYTHON_INLINE Py_ssize_t __Pyx_ssize_strlen(const char *s) {
    size_t len = strlen(s);
    if (unlikely(len > (size_t) PY_SSIZE_T_MAX)) {
        PyErr_SetString(PyExc_OverflowError, "byte string is too long");
        return -1;
    }
    return (Py_ssize_t) len;
}
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return __Pyx_PyUnicode_FromStringAndSize(c_str, len);
}
static CYTHON_INLINE PyObject* __Pyx_PyByteArray_FromString(const char* c_str) {
    Py_ssize_t len = __Pyx_ssize_strlen(c_str);
    if (unlikely(len < 0)) return NULL;
    return PyByteArray_FromStringAndSize(c_str, len);
}
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 && !CYTHON_COMPILING_IN_LIMITED_API) || (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) {
    __Pyx_TypeName result_type_name = __Pyx_PyType_GetName(Py_TYPE(result));
#if PY_MAJOR_VERSION >= 3
    if (PyLong_Check(result)) {
        if (PyErr_WarnFormat(PyExc_DeprecationWarning, 1,
                "__int__ returned non-int (type " __Pyx_FMT_TYPENAME ").  "
                "The ability to return an instance of a strict subclass of int is deprecated, "
                "and may be removed in a future version of Python.",
                result_type_name)) {
            __Pyx_DECREF_TypeName(result_type_name);
            Py_DECREF(result);
            return NULL;
        }
        __Pyx_DECREF_TypeName(result_type_name);
        return result;
    }
#endif
    PyErr_Format(PyExc_TypeError,
                 "__%.4s__ returned non-%.4s (type " __Pyx_FMT_TYPENAME ")",
                 type_name, type_name, result_type_name);
    __Pyx_DECREF_TypeName(result_type_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
    if (likely(__Pyx_PyLong_IsCompact(b))) {
        return __Pyx_PyLong_CompactValue(b);
    } else {
      const digit* digits = __Pyx_PyLong_Digits(b);
      const Py_ssize_t size = __Pyx_PyLong_SignedDigitCount(b);
      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);
}


/* #### Code section: utility_code_pragmas_end ### */
#ifdef _MSC_VER
#pragma warning( pop )
#endif



/* #### Code section: end ### */
#endif /* Py_PYTHON_H */
