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} __Pyx_PyAsyncMethodsStruct;
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    #define __PYX_EXTERN_C extern
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#define __PYX_HAVE__yt__utilities__lib__misc_utilities
#define __PYX_HAVE_API__yt__utilities__lib__misc_utilities
#include "string.h"
#include "stdio.h"
#include "stdlib.h"
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "math.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#ifdef PYREX_WITHOUT_ASSERTIONS
#define CYTHON_WITHOUT_ASSERTIONS
#endif

#ifndef CYTHON_UNUSED
# if defined(__GNUC__)
#   if !(defined(__cplusplus)) || (__GNUC__ > 3 || (__GNUC__ == 3 && __GNUC_MINOR__ >= 4))
#     define CYTHON_UNUSED __attribute__ ((__unused__))
#   else
#     define CYTHON_UNUSED
#   endif
# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
#   define CYTHON_UNUSED __attribute__ ((__unused__))
# else
#   define CYTHON_UNUSED
# endif
#endif
#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
#  define CYTHON_NCP_UNUSED
# else
#  define CYTHON_NCP_UNUSED CYTHON_UNUSED
# endif
#endif
typedef struct {PyObject **p; 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_DEFAULT 0
#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)))  )
#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 (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (_MSC_VER) && defined (_M_X64)
    #define __Pyx_sst_abs(value) _abs64(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 char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyObject_AsSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((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 PY_MAJOR_VERSION < 3
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);
}
#else
#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
#endif
#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)
#define __Pyx_PyBool_FromLong(b) ((b) ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False))
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x);
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
#if CYTHON_COMPILING_IN_CPYTHON
#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 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
    strcpy(__PYX_DEFAULT_STRING_ENCODING, default_encoding_c);
    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


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

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

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


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


/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":725
 * # 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;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":726
 * 
 * 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;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":727
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
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typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":728
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
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 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":732
 * #ctypedef npy_int128     int128_t
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 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
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typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":733
 * 
 * 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;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":734
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 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
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typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":735
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
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typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":739
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":740
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":749
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":750
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typedef npy_longlong __pyx_t_5numpy_long_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":751
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typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":753
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":754
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typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":755
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typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":757
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typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":758
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typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":760
 * ctypedef npy_uintp      uintp_t
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":761
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typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":762
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":765
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":766
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typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":768
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static CYTHON_INLINE PyObject* __Pyx_PyObject_GetAttrStr(PyObject* obj, PyObject* attr_name) {
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static PyObject *__Pyx_GetBuiltinName(PyObject *name);

static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
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static void __Pyx_RaiseDoubleKeywordsError(const char* func_name, PyObject* kw_name);

static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],\
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static CYTHON_INLINE int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
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static CYTHON_INLINE int  __Pyx_GetBufferAndValidate(Py_buffer* buf, PyObject* obj,
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static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);

#define __Pyx_BufPtrStrided1d(type, buf, i0, s0) (type)((char*)buf + i0 * s0)
#define __Pyx_BufPtrStrided2d(type, buf, i0, s0, i1, s1) (type)((char*)buf + i0 * s0 + i1 * s1)
static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb);

#define __Pyx_BufPtrStrided3d(type, buf, i0, s0, i1, s1, i2, s2) (type)((char*)buf + i0 * s0 + i1 * s1 + i2 * s2)
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static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw);
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static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name);

static void __Pyx_RaiseBufferIndexError(int axis);

static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type);

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
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static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
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#define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL)
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#define __Pyx_GetItemInt(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
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#define __Pyx_GetItemInt_List(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
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static CYTHON_INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i,
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#define __Pyx_GetItemInt_Tuple(o, i, type, is_signed, to_py_func, is_list, wraparound, boundscheck)\
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static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
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static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j);
static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
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static void __Pyx_RaiseBufferFallbackError(void);

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static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

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static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level);

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static void __Pyx_AddTraceback(const char *funcname, int c_line,
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static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *);

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

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static char __pyx_k_bin[] = "bin";
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static char __pyx_k_dim[] = "dim";
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static char __pyx_k_binj[] = "binj";
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static char __pyx_k_bool[] = "bool";
static char __pyx_k_bval[] = "bval";
static char __pyx_k_crop[] = "crop";
static char __pyx_k_data[] = "data";
static char __pyx_k_flip[] = "flip";
static char __pyx_k_grid[] = "grid";
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static char __pyx_k_ipos[] = "ipos";
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static char __pyx_k_addit[] = "addit";
static char __pyx_k_alpha[] = "alpha";
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static char __pyx_k_bin_y[] = "bin_y";
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static char __pyx_k_level[] = "level";
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static char __pyx_k_units[] = "units";
static char __pyx_k_value[] = "value";
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static char __pyx_k_astype[] = "astype";
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static char __pyx_k_center[] = "center";
static char __pyx_k_colors[] = "colors";
static char __pyx_k_ifield[] = "ifield";
static char __pyx_k_import[] = "__import__";
static char __pyx_k_inside[] = "inside";
static char __pyx_k_levels[] = "levels";
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static char __pyx_k_ofield[] = "ofield";
static char __pyx_k_rightx[] = "rightx";
static char __pyx_k_righty[] = "righty";
static char __pyx_k_skipit[] = "skipit";
static char __pyx_k_talpha[] = "talpha";
static char __pyx_k_zlines[] = "zlines";
static char __pyx_k_YTArray[] = "YTArray";
static char __pyx_k_bresult[] = "bresult";
static char __pyx_k_bsource[] = "bsource";
static char __pyx_k_float64[] = "float64";
static char __pyx_k_mresult[] = "mresult";
static char __pyx_k_n_grids[] = "n_grids";
static char __pyx_k_offsets[] = "offsets";
static char __pyx_k_oofield[] = "oofield";
static char __pyx_k_qresult[] = "qresult";
static char __pyx_k_rotated[] = "rotated";
static char __pyx_k_uniques[] = "uniques";
static char __pyx_k_wresult[] = "wresult";
static char __pyx_k_wsource[] = "wsource";
static char __pyx_k_zbuffer[] = "zbuffer";
static char __pyx_k_zpoints[] = "zpoints";
static char __pyx_k_KeyError[] = "KeyError";
static char __pyx_k_best_dim[] = "best_dim";
static char __pyx_k_in_units[] = "in_units";
static char __pyx_k_l_corner[] = "l_corner";
static char __pyx_k_less_ids[] = "less_ids";
static char __pyx_k_my_split[] = "my_split";
static char __pyx_k_n_unique[] = "n_unique";
static char __pyx_k_no_color[] = "no_color";
static char __pyx_k_r_corner[] = "r_corner";
static char __pyx_k_has_alpha[] = "has_alpha";
static char __pyx_k_left_edge[] = "left_edge";
static char __pyx_k_min_index[] = "min_index";
static char __pyx_k_min_level[] = "min_level";
static char __pyx_k_refine_by[] = "refine_by";
static char __pyx_k_ValueError[] = "ValueError";
static char __pyx_k_dimensions[] = "dimensions";
static char __pyx_k_left_edges[] = "left_edges";
static char __pyx_k_left_index[] = "left_index";
static char __pyx_k_level_dims[] = "level_dims";
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static char __pyx_k_uniquedims[] = "uniquedims";
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static char __pyx_k_velocity_y[] = "velocity_y";
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static char __pyx_k_zeros_like[] = "zeros_like";
static char __pyx_k_bulk_vector[] = "bulk_vector";
static char __pyx_k_field_names[] = "field_names";
static char __pyx_k_fill_region[] = "fill_region";
static char __pyx_k_greater_ids[] = "greater_ids";
static char __pyx_k_obtain_rvec[] = "obtain_rvec";
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static char __pyx_k_bin_profile2d[] = "bin_profile2d";
static char __pyx_k_bin_profile3d[] = "bin_profile3d";
static char __pyx_k_bulk_velocity[] = "bulk_velocity";
static char __pyx_k_obtain_rv_vec[] = "obtain_rv_vec";
static char __pyx_k_output_fields[] = "output_fields";
static char __pyx_k_rotate_vectors[] = "rotate_vectors";
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static char __pyx_k_get_color_bounds[] = "get_color_bounds";
static char __pyx_k_points_per_color[] = "points_per_color";
static char __pyx_k_new_bin_profile1d[] = "new_bin_profile1d";
static char __pyx_k_new_bin_profile2d[] = "new_bin_profile2d";
static char __pyx_k_new_bin_profile3d[] = "new_bin_profile3d";
static char __pyx_k_yt_units_yt_array[] = "yt.units.yt_array";
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static char __pyx_k_get_field_parameter[] = "get_field_parameter";
static char __pyx_k_grow_flagging_field[] = "grow_flagging_field";
static char __pyx_k_find_values_at_point[] = "find_values_at_point";
static char __pyx_k_get_box_grids_below_level[] = "get_box_grids_below_level";
static char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
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static char __pyx_k_Simple_utilities_that_don_t_fit[] = "\nSimple utilities that don't fit anywhere else\n\n\n\n";
static char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static char __pyx_k_yt_utilities_lib_misc_utilities[] = "yt.utilities.lib.misc_utilities";
static char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
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static PyObject *__pyx_n_s_best_dim;
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static PyObject *__pyx_n_s_bin_profile3d;
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static PyObject *__pyx_n_s_bin_y;
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static PyObject *__pyx_n_s_bsource;
static PyObject *__pyx_n_s_bulk_vector;
static PyObject *__pyx_n_s_bulk_velocity;
static PyObject *__pyx_n_s_bv;
static PyObject *__pyx_n_s_bval;
static PyObject *__pyx_n_s_c;
static PyObject *__pyx_n_s_center;
static PyObject *__pyx_n_s_colors;
static PyObject *__pyx_n_s_convert_to_units;
static PyObject *__pyx_n_s_crop;
static PyObject *__pyx_n_s_data;
static PyObject *__pyx_n_s_dds;
static PyObject *__pyx_n_s_dim;
static PyObject *__pyx_n_s_dimensions;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_dx;
static PyObject *__pyx_n_s_dy;
static PyObject *__pyx_n_s_dzx;
static PyObject *__pyx_n_s_dzy;
static PyObject *__pyx_n_s_e2;
static PyObject *__pyx_n_s_empty;
static PyObject *__pyx_n_s_eps;
static PyObject *__pyx_n_s_err;
static PyObject *__pyx_n_s_fi;
static PyObject *__pyx_n_s_field;
static PyObject *__pyx_n_s_field_names;
static PyObject *__pyx_n_s_fill_region;
static PyObject *__pyx_n_s_find_values_at_point;
static PyObject *__pyx_n_s_finfo;
static PyObject *__pyx_n_s_flip;
static PyObject *__pyx_n_s_float64;
static PyObject *__pyx_n_s_get_box_grids_below_level;
static PyObject *__pyx_n_s_get_box_grids_level;
static PyObject *__pyx_n_s_get_color_bounds;
static PyObject *__pyx_n_s_get_field_parameter;
static PyObject *__pyx_n_s_gi;
static PyObject *__pyx_n_s_greater_ids;
static PyObject *__pyx_n_s_grid;
static PyObject *__pyx_n_s_grid_objects;
static PyObject *__pyx_n_s_grow_flagging_field;
static PyObject *__pyx_n_s_has_alpha;
static PyObject *__pyx_n_s_i;
static PyObject *__pyx_n_s_ifield;
static PyObject *__pyx_n_s_iind;
static PyObject *__pyx_n_s_image;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_in_units;
static PyObject *__pyx_n_s_ind;
static PyObject *__pyx_n_s_input_fields;
static PyObject *__pyx_n_s_inside;
static PyObject *__pyx_n_s_ipos;
static PyObject *__pyx_n_s_ires;
static PyObject *__pyx_n_s_j;
static PyObject *__pyx_n_s_k;
static PyObject *__pyx_n_s_kdtree_get_choices;
static PyObject *__pyx_n_s_l_corner;
static PyObject *__pyx_n_s_left_edge;
static PyObject *__pyx_n_s_left_edges;
static PyObject *__pyx_n_s_left_index;
static PyObject *__pyx_n_s_leftx;
static PyObject *__pyx_n_s_lefty;
static PyObject *__pyx_n_s_less_ids;
static PyObject *__pyx_n_s_level;
static PyObject *__pyx_n_s_level_dims;
static PyObject *__pyx_n_s_levels;
static PyObject *__pyx_n_s_lines;
static PyObject *__pyx_n_s_ma;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_mask;
static PyObject *__pyx_n_s_maxdx;
static PyObject *__pyx_n_s_mi;
static PyObject *__pyx_n_s_min_index;
static PyObject *__pyx_n_s_min_level;
static PyObject *__pyx_n_s_mindx;
static PyObject *__pyx_n_s_mresult;
static PyObject *__pyx_n_s_my_max;
static PyObject *__pyx_n_s_my_split;
static PyObject *__pyx_n_s_n;
static PyObject *__pyx_n_s_n_best;
static PyObject *__pyx_n_s_n_grids;
static PyObject *__pyx_n_s_n_unique;
static PyObject *__pyx_n_s_nb;
static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous;
static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
static PyObject *__pyx_n_s_new_bin_profile1d;
static PyObject *__pyx_n_s_new_bin_profile2d;
static PyObject *__pyx_n_s_new_bin_profile3d;
static PyObject *__pyx_n_s_nf;
static PyObject *__pyx_n_s_nfield;
static PyObject *__pyx_n_s_ni;
static PyObject *__pyx_n_s_nj;
static PyObject *__pyx_n_s_nk;
static PyObject *__pyx_n_s_nl;
static PyObject *__pyx_n_s_no_color;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_n_s_nx;
static PyObject *__pyx_n_s_ny;
static PyObject *__pyx_n_s_obtain_rv_vec;
static PyObject *__pyx_n_s_obtain_rvec;
static PyObject *__pyx_n_s_off;
static PyObject *__pyx_n_s_offsets;
static PyObject *__pyx_n_s_ofield;
static PyObject *__pyx_n_s_oi;
static PyObject *__pyx_n_s_oind;
static PyObject *__pyx_n_s_oj;
static PyObject *__pyx_n_s_ok;
static PyObject *__pyx_n_s_oldwr;
static PyObject *__pyx_n_s_oofield;
static PyObject *__pyx_n_s_outa;
static PyObject *__pyx_n_s_output_fields;
static PyObject *__pyx_n_s_output_level;
static PyObject *__pyx_n_s_pdx;
static PyObject *__pyx_n_s_pdy;
static PyObject *__pyx_n_s_point;
static PyObject *__pyx_n_s_points_per_color;
static PyObject *__pyx_n_s_px;
static PyObject *__pyx_n_s_py;
static PyObject *__pyx_n_s_qresult;
static PyObject *__pyx_n_s_r_corner;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_refine_by;
static PyObject *__pyx_n_s_rf;
static PyObject *__pyx_n_s_rg;
static PyObject *__pyx_n_s_right_edge;
static PyObject *__pyx_n_s_right_edges;
static PyObject *__pyx_n_s_rightx;
static PyObject *__pyx_n_s_righty;
static PyObject *__pyx_n_s_rotate_vectors;
static PyObject *__pyx_n_s_rotated;
static PyObject *__pyx_n_s_rv;
static PyObject *__pyx_n_s_rvf;
static PyObject *__pyx_n_s_rvg;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_n_s_skipit;
static PyObject *__pyx_n_s_sort;
static PyObject *__pyx_n_s_split;
static PyObject *__pyx_n_s_sx;
static PyObject *__pyx_n_s_sy;
static PyObject *__pyx_n_s_talpha;
static PyObject *__pyx_n_s_tarr;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_thick;
static PyObject *__pyx_n_s_tot;
static PyObject *__pyx_n_s_uint8;
static PyObject *__pyx_n_s_uniquedims;
static PyObject *__pyx_n_s_uniques;
static PyObject *__pyx_n_s_units;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_used;
static PyObject *__pyx_n_s_v;
static PyObject *__pyx_n_s_value;
static PyObject *__pyx_n_s_vecs;
static PyObject *__pyx_n_s_velocity_x;
static PyObject *__pyx_n_s_velocity_y;
static PyObject *__pyx_n_s_velocity_z;
static PyObject *__pyx_n_s_view;
static PyObject *__pyx_n_s_vxf;
static PyObject *__pyx_n_s_vxg;
static PyObject *__pyx_n_s_vyf;
static PyObject *__pyx_n_s_vyg;
static PyObject *__pyx_n_s_vzf;
static PyObject *__pyx_n_s_vzg;
static PyObject *__pyx_n_s_wi;
static PyObject *__pyx_n_s_wj;
static PyObject *__pyx_n_s_wk;
static PyObject *__pyx_n_s_wresult;
static PyObject *__pyx_n_s_wsource;
static PyObject *__pyx_n_s_wval;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_x0;
static PyObject *__pyx_n_s_x1;
static PyObject *__pyx_n_s_xf;
static PyObject *__pyx_n_s_xg;
static PyObject *__pyx_n_s_xi;
static PyObject *__pyx_n_s_xs;
static PyObject *__pyx_n_s_y;
static PyObject *__pyx_n_s_y0;
static PyObject *__pyx_n_s_y1;
static PyObject *__pyx_n_s_yf;
static PyObject *__pyx_n_s_yg;
static PyObject *__pyx_n_s_yi;
static PyObject *__pyx_n_s_yi0;
static PyObject *__pyx_n_s_ys;
static PyObject *__pyx_n_s_yt_units_yt_array;
static PyObject *__pyx_n_s_yt_utilities_lib_misc_utilities;
static PyObject *__pyx_n_s_z;
static PyObject *__pyx_n_s_z0;
static PyObject *__pyx_n_s_z1;
static PyObject *__pyx_n_s_zbuffer;
static PyObject *__pyx_n_s_zeros;
static PyObject *__pyx_n_s_zeros_like;
static PyObject *__pyx_n_s_zf;
static PyObject *__pyx_n_s_zg;
static PyObject *__pyx_n_s_zlines;
static PyObject *__pyx_n_s_zpoints;
static PyObject *__pyx_n_s_zs;
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_new_bin_profile1d(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_bins_x, PyArrayObject *__pyx_v_wsource, PyArrayObject *__pyx_v_bsource, PyArrayObject *__pyx_v_wresult, PyArrayObject *__pyx_v_bresult, PyArrayObject *__pyx_v_mresult, PyArrayObject *__pyx_v_qresult, PyArrayObject *__pyx_v_used); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_2new_bin_profile2d(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_bins_x, PyArrayObject *__pyx_v_bins_y, PyArrayObject *__pyx_v_wsource, PyArrayObject *__pyx_v_bsource, PyArrayObject *__pyx_v_wresult, PyArrayObject *__pyx_v_bresult, PyArrayObject *__pyx_v_mresult, PyArrayObject *__pyx_v_qresult, PyArrayObject *__pyx_v_used); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_4new_bin_profile3d(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_bins_x, PyArrayObject *__pyx_v_bins_y, PyArrayObject *__pyx_v_bins_z, PyArrayObject *__pyx_v_wsource, PyArrayObject *__pyx_v_bsource, PyArrayObject *__pyx_v_wresult, PyArrayObject *__pyx_v_bresult, PyArrayObject *__pyx_v_mresult, PyArrayObject *__pyx_v_qresult, PyArrayObject *__pyx_v_used); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_6bin_profile1d(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_bins_x, PyArrayObject *__pyx_v_wsource, PyArrayObject *__pyx_v_bsource, PyArrayObject *__pyx_v_wresult, PyArrayObject *__pyx_v_bresult, PyArrayObject *__pyx_v_mresult, PyArrayObject *__pyx_v_qresult, PyArrayObject *__pyx_v_used); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_8bin_profile2d(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_bins_x, PyArrayObject *__pyx_v_bins_y, PyArrayObject *__pyx_v_wsource, PyArrayObject *__pyx_v_bsource, PyArrayObject *__pyx_v_wresult, PyArrayObject *__pyx_v_bresult, PyArrayObject *__pyx_v_mresult, PyArrayObject *__pyx_v_qresult, PyArrayObject *__pyx_v_used); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_10bin_profile3d(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_bins_x, PyArrayObject *__pyx_v_bins_y, PyArrayObject *__pyx_v_bins_z, PyArrayObject *__pyx_v_wsource, PyArrayObject *__pyx_v_bsource, PyArrayObject *__pyx_v_wresult, PyArrayObject *__pyx_v_bresult, PyArrayObject *__pyx_v_mresult, PyArrayObject *__pyx_v_qresult, PyArrayObject *__pyx_v_used); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_12lines(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_image, PyArrayObject *__pyx_v_xs, PyArrayObject *__pyx_v_ys, PyArrayObject *__pyx_v_colors, int __pyx_v_points_per_color, int __pyx_v_thick, int __pyx_v_flip, int __pyx_v_crop); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_14zlines(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_image, PyArrayObject *__pyx_v_zbuffer, PyArrayObject *__pyx_v_xs, PyArrayObject *__pyx_v_ys, PyArrayObject *__pyx_v_zs, PyArrayObject *__pyx_v_colors, int __pyx_v_points_per_color, int __pyx_v_thick, int __pyx_v_flip, int __pyx_v_crop); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_16zpoints(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_image, PyArrayObject *__pyx_v_zbuffer, PyArrayObject *__pyx_v_xs, PyArrayObject *__pyx_v_ys, PyArrayObject *__pyx_v_zs, PyArrayObject *__pyx_v_colors, int __pyx_v_points_per_color, CYTHON_UNUSED int __pyx_v_thick, int __pyx_v_flip); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_18rotate_vectors(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_vecs, PyArrayObject *__pyx_v_R); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_20get_color_bounds(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_px, PyArrayObject *__pyx_v_py, PyArrayObject *__pyx_v_pdx, PyArrayObject *__pyx_v_pdy, PyArrayObject *__pyx_v_value, __pyx_t_5numpy_float64_t __pyx_v_leftx, __pyx_t_5numpy_float64_t __pyx_v_rightx, __pyx_t_5numpy_float64_t __pyx_v_lefty, __pyx_t_5numpy_float64_t __pyx_v_righty, __pyx_t_5numpy_float64_t __pyx_v_mindx, __pyx_t_5numpy_float64_t __pyx_v_maxdx); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_22kdtree_get_choices(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_data, PyArrayObject *__pyx_v_l_corner, PyArrayObject *__pyx_v_r_corner); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_24get_box_grids_level(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left_edge, PyArrayObject *__pyx_v_right_edge, int __pyx_v_level, PyArrayObject *__pyx_v_left_edges, PyArrayObject *__pyx_v_right_edges, PyArrayObject *__pyx_v_levels, PyArrayObject *__pyx_v_mask, int __pyx_v_min_index); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_26get_box_grids_below_level(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_left_edge, PyArrayObject *__pyx_v_right_edge, int __pyx_v_level, PyArrayObject *__pyx_v_left_edges, PyArrayObject *__pyx_v_right_edges, PyArrayObject *__pyx_v_levels, PyArrayObject *__pyx_v_mask, int __pyx_v_min_level); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_28find_values_at_point(CYTHON_UNUSED PyObject *__pyx_self, PyArrayObject *__pyx_v_point, PyArrayObject *__pyx_v_left_edges, PyArrayObject *__pyx_v_right_edges, PyArrayObject *__pyx_v_dimensions, PyObject *__pyx_v_field_names, PyObject *__pyx_v_grid_objects); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_30obtain_rvec(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_data); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_32obtain_rv_vec(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_data, PyObject *__pyx_v_field_names, PyObject *__pyx_v_bulk_vector); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_34grow_flagging_field(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_oofield); /* proto */
static PyObject *__pyx_pf_2yt_9utilities_3lib_14misc_utilities_36fill_region(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_input_fields, PyObject *__pyx_v_output_fields, __pyx_t_5numpy_int32_t __pyx_v_output_level, PyArrayObject *__pyx_v_left_index, PyArrayObject *__pyx_v_ipos, PyArrayObject *__pyx_v_ires, PyArrayObject *__pyx_v_level_dims, __pyx_t_5numpy_int64_t __pyx_v_refine_by); /* proto */
static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_3;
static PyObject *__pyx_tuple_;
static PyObject *__pyx_tuple__2;
static PyObject *__pyx_tuple__3;
static PyObject *__pyx_tuple__4;
static PyObject *__pyx_tuple__5;
static PyObject *__pyx_tuple__6;
static PyObject *__pyx_tuple__7;
static PyObject *__pyx_tuple__8;
static PyObject *__pyx_tuple__9;
static PyObject *__pyx_tuple__10;
static PyObject *__pyx_tuple__11;
static PyObject *__pyx_tuple__12;
static PyObject *__pyx_tuple__13;
static PyObject *__pyx_tuple__14;
static PyObject *__pyx_tuple__15;
static PyObject *__pyx_tuple__16;
static PyObject *__pyx_tuple__17;
static PyObject *__pyx_tuple__18;
static PyObject *__pyx_tuple__19;
static PyObject *__pyx_tuple__21;
static PyObject *__pyx_tuple__23;
static PyObject *__pyx_tuple__25;
static PyObject *__pyx_tuple__27;
static PyObject *__pyx_tuple__29;
static PyObject *__pyx_tuple__31;
static PyObject *__pyx_tuple__33;
static PyObject *__pyx_tuple__35;
static PyObject *__pyx_tuple__37;
static PyObject *__pyx_tuple__39;
static PyObject *__pyx_tuple__41;
static PyObject *__pyx_tuple__43;
static PyObject *__pyx_tuple__45;
static PyObject *__pyx_tuple__47;
static PyObject *__pyx_tuple__49;
static PyObject *__pyx_tuple__51;
static PyObject *__pyx_tuple__53;
static PyObject *__pyx_tuple__55;
static PyObject *__pyx_codeobj__20;
static PyObject *__pyx_codeobj__22;
static PyObject *__pyx_codeobj__24;
static PyObject *__pyx_codeobj__26;
static PyObject *__pyx_codeobj__28;
static PyObject *__pyx_codeobj__30;
static PyObject *__pyx_codeobj__32;
static PyObject *__pyx_codeobj__34;
static PyObject *__pyx_codeobj__36;
static PyObject *__pyx_codeobj__38;
static PyObject *__pyx_codeobj__40;
static PyObject *__pyx_codeobj__42;
static PyObject *__pyx_codeobj__44;
static PyObject *__pyx_codeobj__46;
static PyObject *__pyx_codeobj__48;
static PyObject *__pyx_codeobj__50;
static PyObject *__pyx_codeobj__52;
static PyObject *__pyx_codeobj__54;
static PyObject *__pyx_codeobj__56;

/* "yt/utilities/lib/misc_utilities.pyx":31
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * def new_bin_profile1d(np.ndarray[np.intp_t, ndim=1] bins_x,             # <<<<<<<<<<<<<<
 *                   np.ndarray[np.float64_t, ndim=1] wsource,
 *                   np.ndarray[np.float64_t, ndim=2] bsource,
 */

/* Python wrapper */
static PyObject *__pyx_pw_2yt_9utilities_3lib_14misc_utilities_1new_bin_profile1d(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static PyMethodDef __pyx_mdef_2yt_9utilities_3lib_14misc_utilities_1new_bin_profile1d = {"new_bin_profile1d", (PyCFunction)__pyx_pw_2yt_9utilities_3lib_14misc_utilities_1new_bin_profile1d, METH_VARARGS|METH_KEYWORDS, 0};
static PyObject *__pyx_pw_2yt_9utilities_3lib_14misc_utilities_1new_bin_profile1d(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
  PyArrayObject *__pyx_v_bins_x = 0;
  PyArrayObject *__pyx_v_wsource = 0;
  PyArrayObject *__pyx_v_bsource = 0;
  PyArrayObject *__pyx_v_wresult = 0;
  PyArrayObject *__pyx_v_bresult = 0;
  PyArrayObject *__pyx_v_mresult = 0;
  PyArrayObject *__pyx_v_qresult = 0;
  PyArrayObject *__pyx_v_used = 0;
  int __pyx_lineno = 0;
  const char *__pyx_filename = NULL;
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  __Pyx_RefNannyDeclarations
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    PyObject* values[8] = {0,0,0,0,0,0,0,0};
    if (unlikely(__pyx_kwds)) {
      Py_ssize_t kw_args;
      const Py_ssize_t pos_args = PyTuple_GET_SIZE(__pyx_args);
      switch (pos_args) {
        case  8: values[7] = PyTuple_GET_ITEM(__pyx_args, 7);
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 *     cdef int n, fi, bin_x, bin_y, bin_z
 *     cdef np.float64_t wval, bval, oldwr
 *     cdef int nb = bins_x.shape[0]             # <<<<<<<<<<<<<<
 *     cdef int nf = bsource.shape[1]
 *     for n in range(nb):
 */
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  /* "yt/utilities/lib/misc_utilities.pyx":108
 *     cdef np.float64_t wval, bval, oldwr
 *     cdef int nb = bins_x.shape[0]
 *     cdef int nf = bsource.shape[1]             # <<<<<<<<<<<<<<
 *     for n in range(nb):
 *         bin_x = bins_x[n]
 */
  __pyx_v_nf = (__pyx_v_bsource->dimensions[1]);

  /* "yt/utilities/lib/misc_utilities.pyx":109
 *     cdef int nb = bins_x.shape[0]
 *     cdef int nf = bsource.shape[1]
 *     for n in range(nb):             # <<<<<<<<<<<<<<
 *         bin_x = bins_x[n]
 *         bin_y = bins_y[n]
 */
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    __pyx_v_n = __pyx_t_2;

    /* "yt/utilities/lib/misc_utilities.pyx":110
 *     cdef int nf = bsource.shape[1]
 *     for n in range(nb):
 *         bin_x = bins_x[n]             # <<<<<<<<<<<<<<
 *         bin_y = bins_y[n]
 *         bin_z = bins_z[n]
 */
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    /* "yt/utilities/lib/misc_utilities.pyx":111
 *     for n in range(nb):
 *         bin_x = bins_x[n]
 *         bin_y = bins_y[n]             # <<<<<<<<<<<<<<
 *         bin_z = bins_z[n]
 *         wval = wsource[n]
 */
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    /* "yt/utilities/lib/misc_utilities.pyx":112
 *         bin_x = bins_x[n]
 *         bin_y = bins_y[n]
 *         bin_z = bins_z[n]             # <<<<<<<<<<<<<<
 *         wval = wsource[n]
 *         oldwr = wresult[bin_x, bin_y, bin_z]
 */
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    /* "yt/utilities/lib/misc_utilities.pyx":113
 *         bin_y = bins_y[n]
 *         bin_z = bins_z[n]
 *         wval = wsource[n]             # <<<<<<<<<<<<<<
 *         oldwr = wresult[bin_x, bin_y, bin_z]
 *         wresult[bin_x,bin_y,bin_z] += wval
 */
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    __pyx_v_wval = (*__Pyx_BufPtrStrided1d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_wsource.rcbuffer->pybuffer.buf, __pyx_t_6, __pyx_pybuffernd_wsource.diminfo[0].strides));

    /* "yt/utilities/lib/misc_utilities.pyx":114
 *         bin_z = bins_z[n]
 *         wval = wsource[n]
 *         oldwr = wresult[bin_x, bin_y, bin_z]             # <<<<<<<<<<<<<<
 *         wresult[bin_x,bin_y,bin_z] += wval
 *         for fi in range(nf):
 */
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    __pyx_t_9 = __pyx_v_bin_z;
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    /* "yt/utilities/lib/misc_utilities.pyx":115
 *         wval = wsource[n]
 *         oldwr = wresult[bin_x, bin_y, bin_z]
 *         wresult[bin_x,bin_y,bin_z] += wval             # <<<<<<<<<<<<<<
 *         for fi in range(nf):
 *             bval = bsource[n,fi]
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    __pyx_t_12 = __pyx_v_bin_z;
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 *         oldwr = wresult[bin_x, bin_y, bin_z]
 *         wresult[bin_x,bin_y,bin_z] += wval
 *         for fi in range(nf):             # <<<<<<<<<<<<<<
 *             bval = bsource[n,fi]
 *             # qresult has to have the previous wresult
 */
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 *         wresult[bin_x,bin_y,bin_z] += wval
 *         for fi in range(nf):
 *             bval = bsource[n,fi]             # <<<<<<<<<<<<<<
 *             # qresult has to have the previous wresult
 *             qresult[bin_x,bin_y,bin_z,fi] += \
 */
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      /* "yt/utilities/lib/misc_utilities.pyx":120
 *             # qresult has to have the previous wresult
 *             qresult[bin_x,bin_y,bin_z,fi] += \
 *                 (oldwr * wval * (bval - mresult[bin_x,bin_y,bin_z,fi])**2) / \             # <<<<<<<<<<<<<<
 *                 (oldwr + wval)
 *             bresult[bin_x,bin_y,bin_z,fi] += wval*bval
 */
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      __pyx_t_18 = __pyx_v_bin_y;
      __pyx_t_19 = __pyx_v_bin_z;
      __pyx_t_20 = __pyx_v_fi;

      /* "yt/utilities/lib/misc_utilities.pyx":119
 *             bval = bsource[n,fi]
 *             # qresult has to have the previous wresult
 *             qresult[bin_x,bin_y,bin_z,fi] += \             # <<<<<<<<<<<<<<
 *                 (oldwr * wval * (bval - mresult[bin_x,bin_y,bin_z,fi])**2) / \
 *                 (oldwr + wval)
 */
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      __pyx_t_22 = __pyx_v_bin_y;
      __pyx_t_23 = __pyx_v_bin_z;
      __pyx_t_24 = __pyx_v_fi;
      *__Pyx_BufPtrStrided4d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_qresult.rcbuffer->pybuffer.buf, __pyx_t_21, __pyx_pybuffernd_qresult.diminfo[0].strides, __pyx_t_22, __pyx_pybuffernd_qresult.diminfo[1].strides, __pyx_t_23, __pyx_pybuffernd_qresult.diminfo[2].strides, __pyx_t_24, __pyx_pybuffernd_qresult.diminfo[3].strides) += (((__pyx_v_oldwr * __pyx_v_wval) * pow((__pyx_v_bval - (*__Pyx_BufPtrStrided4d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_mresult.rcbuffer->pybuffer.buf, __pyx_t_17, __pyx_pybuffernd_mresult.diminfo[0].strides, __pyx_t_18, __pyx_pybuffernd_mresult.diminfo[1].strides, __pyx_t_19, __pyx_pybuffernd_mresult.diminfo[2].strides, __pyx_t_20, __pyx_pybuffernd_mresult.diminfo[3].strides))), 2.0)) / (__pyx_v_oldwr + __pyx_v_wval));

      /* "yt/utilities/lib/misc_utilities.pyx":122
 *                 (oldwr * wval * (bval - mresult[bin_x,bin_y,bin_z,fi])**2) / \
 *                 (oldwr + wval)
 *             bresult[bin_x,bin_y,bin_z,fi] += wval*bval             # <<<<<<<<<<<<<<
 *             # mresult needs the new wresult
 *             mresult[bin_x,bin_y,bin_z,fi] += wval * \
 */
      __pyx_t_25 = __pyx_v_bin_x;
      __pyx_t_26 = __pyx_v_bin_y;
      __pyx_t_27 = __pyx_v_bin_z;
      __pyx_t_28 = __pyx_v_fi;
      *__Pyx_BufPtrStrided4d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_bresult.rcbuffer->pybuffer.buf, __pyx_t_25, __pyx_pybuffernd_bresult.diminfo[0].strides, __pyx_t_26, __pyx_pybuffernd_bresult.diminfo[1].strides, __pyx_t_27, __pyx_pybuffernd_bresult.diminfo[2].strides, __pyx_t_28, __pyx_pybuffernd_bresult.diminfo[3].strides) += (__pyx_v_wval * __pyx_v_bval);

      /* "yt/utilities/lib/misc_utilities.pyx":125
 *             # mresult needs the new wresult
 *             mresult[bin_x,bin_y,bin_z,fi] += wval * \
 *                 (bval - mresult[bin_x,bin_y,bin_z,fi]) / \             # <<<<<<<<<<<<<<
 *                  wresult[bin_x,bin_y,bin_z]
 *         used[bin_x,bin_y,bin_z] = 1
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 */
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 *             for i in range(4):
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 */
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      /* "yt/utilities/lib/misc_utilities.pyx":251
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 *                 alpha[i] = colors[j/points_per_color,i]
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 */
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        /* "yt/utilities/lib/misc_utilities.pyx":252
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 *         else:
 *             for i in range(3):
 */
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      /* "yt/utilities/lib/misc_utilities.pyx":250
 *             for i in range(4):
 *                 alpha[i] = colors[j, 0]
 *         elif has_alpha:             # <<<<<<<<<<<<<<
 *             for i in range(4):
 *                 alpha[i] = colors[j/points_per_color,i]
 */
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    /* "yt/utilities/lib/misc_utilities.pyx":254
 *                 alpha[i] = colors[j/points_per_color,i]
 *         else:
 *             for i in range(3):             # <<<<<<<<<<<<<<
 *                 alpha[i] = colors[j/points_per_color,3]*\
 *                         colors[j/points_per_color,i]
 */
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        /* "yt/utilities/lib/misc_utilities.pyx":255
 *         else:
 *             for i in range(3):
 *                 alpha[i] = colors[j/points_per_color,3]*\             # <<<<<<<<<<<<<<
 *                         colors[j/points_per_color,i]
 * 
 */
        __pyx_t_16 = (__pyx_v_j / __pyx_v_points_per_color);
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        /* "yt/utilities/lib/misc_utilities.pyx":256
 *             for i in range(3):
 *                 alpha[i] = colors[j/points_per_color,3]*\
 *                         colors[j/points_per_color,i]             # <<<<<<<<<<<<<<
 * 
 *         if x0 < x1:
 */
        __pyx_t_18 = (__pyx_v_j / __pyx_v_points_per_color);
        __pyx_t_19 = __pyx_v_i;

        /* "yt/utilities/lib/misc_utilities.pyx":255
 *         else:
 *             for i in range(3):
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 *                         colors[j/points_per_color,i]
 * 
 */
        (__pyx_v_alpha[__pyx_v_i]) = ((*__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_colors.rcbuffer->pybuffer.buf, __pyx_t_16, __pyx_pybuffernd_colors.diminfo[0].strides, __pyx_t_17, __pyx_pybuffernd_colors.diminfo[1].strides)) * (*__Pyx_BufPtrStrided2d(__pyx_t_5numpy_float64_t *, __pyx_pybuffernd_colors.rcbuffer->pybuffer.buf, __pyx_t_18, __pyx_pybuffernd_colors.diminfo[0].strides, __pyx_t_19, __pyx_pybuffernd_colors.diminfo[1].strides)));
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    /* "yt/utilities/lib/misc_utilities.pyx":258
 *                         colors[j/points_per_color,i]
 * 
 *         if x0 < x1:             # <<<<<<<<<<<<<<
 *             sx = 1
 *         else:
 */
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      /* "yt/utilities/lib/misc_utilities.pyx":259
 * 
 *         if x0 < x1:
 *             sx = 1             # <<<<<<<<<<<<<<
 *         else:
 *             sx = -1
 */
      __pyx_v_sx = 1;

      /* "yt/utilities/lib/misc_utilities.pyx":258
 *                         colors[j/points_per_color,i]
 * 
 *         if x0 < x1:             # <<<<<<<<<<<<<<
 *             sx = 1
 *         else:
 */
      goto __pyx_L16;
    }

    /* "yt/utilities/lib/misc_utilities.pyx":261
 *             sx = 1
 *         else:
 *             sx = -1             # <<<<<<<<<<<<<<
 *         if y0 < y1:
 *             sy = 1
 */
    /*else*/ {
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    /* "yt/utilities/lib/misc_utilities.pyx":262
 *         else:
 *             sx = -1
 *         if y0 < y1:             # <<<<<<<<<<<<<<
 *             sy = 1
 *         else:
 */
    __pyx_t_10 = ((__pyx_v_y0 < __pyx_v_y1) != 0);
    if (__pyx_t_10) {

      /* "yt/utilities/lib/misc_utilities.pyx":263
 *             sx = -1
 *         if y0 < y1:
 *             sy = 1             # <<<<<<<<<<<<<<
 *         else:
 *             sy = -1
 */
      __pyx_v_sy = 1;

      /* "yt/utilities/lib/misc_utilities.pyx":262
 *         else:
 *             sx = -1
 *         if y0 < y1:             # <<<<<<<<<<<<<<
 *             sy = 1
 *         else:
 */
      goto __pyx_L17;
    }

    /* "yt/utilities/lib/misc_utilities.pyx":265
 *             sy = 1
 *         else:
 *             sy = -1             # <<<<<<<<<<<<<<
 *         while(1):
 *             if (x0 < thick and sx == -1): break
 */
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    /* "yt/utilities/lib/misc_utilities.pyx":266
 *         else:
 *             sy = -1
 *         while(1):             # <<<<<<<<<<<<<<
 *             if (x0 < thick and sx == -1): break
 *             elif (x0 >= nx-thick+1 and sx == 1): break
 */
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      /* "yt/utilities/lib/misc_utilities.pyx":267
 *             sy = -1
 *         while(1):
 *             if (x0 < thick and sx == -1): break             # <<<<<<<<<<<<<<
 *             elif (x0 >= nx-thick+1 and sx == 1): break
 *             elif (y0 < thick and sy == -1): break
 */
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        goto __pyx_L19_break;
      }

      /* "yt/utilities/lib/misc_utilities.pyx":268
 *         while(1):
 *             if (x0 < thick and sx == -1): break
 *             elif (x0 >= nx-thick+1 and sx == 1): break             # <<<<<<<<<<<<<<
 *             elif (y0 < thick and sy == -1): break
 *             elif (y0 >= ny-thick+1 and sy == 1): break
 */
      __pyx_t_11 = ((__pyx_v_x0 >= ((__pyx_v_nx - __pyx_v_thick) + 1)) != 0);
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      }

      /* "yt/utilities/lib/misc_utilities.pyx":269
 *             if (x0 < thick and sx == -1): break
 *             elif (x0 >= nx-thick+1 and sx == 1): break
 *             elif (y0 < thick and sy == -1): break             # <<<<<<<<<<<<<<
 *             elif (y0 >= ny-thick+1 and sy == 1): break
 *             if x0 >= thick and x0 < nx-thick and y0 >= thick and y0 < ny-thick:
 */
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        goto __pyx_L19_break;
      }

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 * 
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 *     cdef int nl = xs.shape[0]
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 *     cdef np.float64_t alpha[4]
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    /* "yt/utilities/lib/misc_utilities.pyx":334
 *         # From wikipedia http://en.wikipedia.org/wiki/Bresenham's_line_algorithm
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 *         z0 = zs[j]
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 *         z1 = zs[j+1]
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 *         dx = abs(x1-x0)
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 *         dy = abs(y1-y0)
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 *         dzy = (z1-z0) / (dx**2 + dy**2) * dy             # <<<<<<<<<<<<<<
 *         err = dx - dy
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 */
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 *         dzy = (z1-z0) / (dx**2 + dy**2) * dy
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 *         if crop == 1 and (dx > nx/2.0 or dy > ny/2.0):             # <<<<<<<<<<<<<<
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 * 
 */
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 *         err = dx - dy
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 * 
 *         for i in range(4):
 */
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      /* "yt/utilities/lib/misc_utilities.pyx":344
 *         dzy = (z1-z0) / (dx**2 + dy**2) * dy
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 *             continue
 * 
 */
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 *             continue
 * 
 *         for i in range(4):             # <<<<<<<<<<<<<<
 *             alpha[i] = colors[j/points_per_color, i]
 * 
 */
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      /* "yt/utilities/lib/misc_utilities.pyx":348
 * 
 *         for i in range(4):
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 * 
 *         if x0 < x1:
 */
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    /* "yt/utilities/lib/misc_utilities.pyx":350
 *             alpha[i] = colors[j/points_per_color, i]
 * 
 *         if x0 < x1:             # <<<<<<<<<<<<<<
 *             sx = 1
 *         else:
 */
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      /* "yt/utilities/lib/misc_utilities.pyx":351
 * 
 *         if x0 < x1:
 *             sx = 1             # <<<<<<<<<<<<<<
 *         else:
 *             sx = -1
 */
      __pyx_v_sx = 1;

      /* "yt/utilities/lib/misc_utilities.pyx":350
 *             alpha[i] = colors[j/points_per_color, i]
 * 
 *         if x0 < x1:             # <<<<<<<<<<<<<<
 *             sx = 1
 *         else:
 */
      goto __pyx_L11;
    }

    /* "yt/utilities/lib/misc_utilities.pyx":353
 *             sx = 1
 *         else:
 *             sx = -1             # <<<<<<<<<<<<<<
 *         if y0 < y1:
 *             sy = 1
 */
    /*else*/ {
      __pyx_v_sx = -1;
    }
    __pyx_L11:;

    /* "yt/utilities/lib/misc_utilities.pyx":354
 *         else:
 *             sx = -1
 *         if y0 < y1:             # <<<<<<<<<<<<<<
 *             sy = 1
 *         else:
 */
    __pyx_t_12 = ((__pyx_v_y0 < __pyx_v_y1) != 0);
    if (__pyx_t_12) {

      /* "yt/utilities/lib/misc_utilities.pyx":355
 *             sx = -1
 *         if y0 < y1:
 *             sy = 1             # <<<<<<<<<<<<<<
 *         else:
 *             sy = -1
 */
      __pyx_v_sy = 1;

      /* "yt/utilities/lib/misc_utilities.pyx":354
 *         else:
 *             sx = -1
 *         if y0 < y1:             # <<<<<<<<<<<<<<
 *             sy = 1
 *         else:
 */
      goto __pyx_L12;
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    /* "yt/utilities/lib/misc_utilities.pyx":357
 *             sy = 1
 *         else:
 *             sy = -1             # <<<<<<<<<<<<<<
 *         while(1):
 *             if (x0 < thick and sx == -1): break
 */
    /*else*/ {
      __pyx_v_sy = -1;
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    __pyx_L12:;

    /* "yt/utilities/lib/misc_utilities.pyx":358
 *         else:
 *             sy = -1
 *         while(1):             # <<<<<<<<<<<<<<
 *             if (x0 < thick and sx == -1): break
 *             elif (x0 >= nx-thick+1 and sx == 1): break
 */
    while (1) {

      /* "yt/utilities/lib/misc_utilities.pyx":359
 *             sy = -1
 *         while(1):
 *             if (x0 < thick and sx == -1): break             # <<<<<<<<<<<<<<
 *             elif (x0 >= nx-thick+1 and sx == 1): break
 *             elif (y0 < thick and sy == -1): break
 */
      __pyx_t_13 = ((__pyx_v_x0 < __pyx_v_thick) != 0);
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      } else {
        __pyx_t_12 = __pyx_t_13;
        goto __pyx_L16_bool_binop_done;
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      __pyx_t_12 = __pyx_t_13;
      __pyx_L16_bool_binop_done:;
      if (__pyx_t_12) {
        goto __pyx_L14_break;
      }

      /* "yt/utilities/lib/misc_utilities.pyx":360
 *         while(1):
 *             if (x0 < thick and sx == -1): break
 *             elif (x0 >= nx-thick+1 and sx == 1): break             # <<<<<<<<<<<<<<
 *             elif (y0 < thick and sy == -1): break
 *             elif (y0 >= ny-thick+1 and sy == 1): break
 */
      __pyx_t_13 = ((__pyx_v_x0 >= ((__pyx_v_nx - __pyx_v_thick) + 1)) != 0);
      if (__pyx_t_13) {
      } else {
        __pyx_t_12 = __pyx_t_13;
        goto __pyx_L18_bool_binop_done;
      }
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      __pyx_L18_bool_binop_done:;
      if (__pyx_t_12) {
        goto __pyx_L14_break;
      }

      /* "yt/utilities/lib/misc_utilities.pyx":361
 *             if (x0 < thick and sx == -1): break
 *             elif (x0 >= nx-thick+1 and sx == 1): break
 *             elif (y0 < thick and sy == -1): break             # <<<<<<<<<<<<<<
 *             elif (y0 >= ny-thick+1 and sy == 1): break
 *             if x0 >= thick and x0 < nx-thick and y0 >= thick and y0 < ny-thick:
 */
      __pyx_t_13 = ((__pyx_v_y0 < __pyx_v_thick) != 0);
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      } else {
        __pyx_t_12 = __pyx_t_13;
        goto __pyx_L20_bool_binop_done;
      }
      __pyx_t_13 = ((__pyx_v_sy == -1) != 0);
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      __pyx_L20_bool_binop_done:;
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        goto __pyx_L14_break;
      }

      /* "yt/utilities/lib/misc_utilities.pyx":362
 *             elif (x0 >= nx-thick+1 and sx == 1): break
 *             elif (y0 < thick and sy == -1): break
 *             elif (y0 >= ny-thick+1 and sy == 1): break             # <<<<<<<<<<<<<<
 *             if x0 >= thick and x0 < nx-thick and y0 >= thick and y0 < ny-thick:
 *                 for xi in range(x0-thick/2, x0+(1+thick)/2):
 */
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        __pyx_t_12 = __pyx_t_13;
        goto __pyx_L22_bool_binop_done;
      }
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      __pyx_L22_bool_binop_done:;
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        goto __pyx_L14_break;
      }

      /* "yt/utilities/lib/misc_utilities.pyx":363
 *             elif (y0 < thick and sy == -1): break
 *             elif (y0 >= ny-thick+1 and sy == 1): break
 *             if x0 >= thick and x0 < nx-thick and y0 >= thick and y0 < ny-thick:             # <<<<<<<<<<<<<<
 *                 for xi in range(x0-thick/2, x0+(1+thick)/2):
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 */
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    __Pyx_BufFmt_StackElem __pyx_stack[1];
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  __pyx_pybuffernd_l_corner.diminfo[0].strides = __pyx_pybuffernd_l_corner.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_l_corner.diminfo[0].shape = __pyx_pybuffernd_l_corner.rcbuffer->pybuffer.shape[0];
  {
    __Pyx_BufFmt_StackElem __pyx_stack[1];
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  __pyx_pybuffernd_r_corner.diminfo[0].strides = __pyx_pybuffernd_r_corner.rcbuffer->pybuffer.strides[0]; __pyx_pybuffernd_r_corner.diminfo[0].shape = __pyx_pybuffernd_r_corner.rcbuffer->pybuffer.shape[0];

  /* "yt/utilities/lib/misc_utilities.pyx":497
 *                        np.ndarray[np.float64_t, ndim=1] r_corner):
 *     cdef int i, j, k, dim, n_unique, best_dim, n_best, n_grids, addit, my_split
 *     n_grids = data.shape[0]             # <<<<<<<<<<<<<<
 *     cdef np.float64_t **uniquedims
 *     cdef np.float64_t *uniques
 */
  __pyx_v_n_grids = (__pyx_v_data->dimensions[0]);

  /* "yt/utilities/lib/misc_utilities.pyx":501
 *     cdef np.float64_t *uniques
 *     cdef np.float64_t split
 *     uniquedims = <np.float64_t **> alloca(3 * sizeof(np.float64_t*))             # <<<<<<<<<<<<<<
 *     for i in range(3):
 *         uniquedims[i] = <np.float64_t *> \
 */
  __pyx_v_uniquedims = ((__pyx_t_5numpy_float64_t **)alloca((3 * (sizeof(__pyx_t_5numpy_float64_t *)))));

  /* "yt/utilities/lib/misc_utilities.pyx":502
 *     cdef np.float64_t split
 *     uniquedims = <np.float64_t **> alloca(3 * sizeof(np.float64_t*))
 *     for i in range(3):             # <<<<<<<<<<<<<<
 *         uniquedims[i] = <np.float64_t *> \
 *                 alloca(2*n_grids * sizeof(np.float64_t))
 */
  for (__pyx_t_1 = 0; __pyx_t_1 < 3; __pyx_t_1+=1) {
    __pyx_v_i = __pyx_t_1;

    /* "yt/utilities/lib/misc_utilities.pyx":503
 *     uniquedims = <np.float64_t **> alloca(3 * sizeof(np.float64_t*))
 *     for i in range(3):
 *         uniquedims[i] = <np.float64_t *> \             # <<<<<<<<<<<<<<
 *                 alloca(2*n_grids * sizeof(np.float64_t))
 *     my_max = 0
 */
    (__pyx_v_uniquedims[__pyx_v_i]) = ((__pyx_t_5numpy_float64_t *)alloca(((2 * __pyx_v_n_grids) * (sizeof(__pyx_t_5numpy_float64_t)))));
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  /* "yt/utilities/lib/misc_utilities.pyx":505
 *         uniquedims[i] = <np.float64_t *> \
 *                 alloca(2*n_grids * sizeof(np.float64_t))
 *     my_max = 0             # <<<<<<<<<<<<<<
 *     best_dim = -1
 *     for dim in range(3):
 */
  __pyx_v_my_max = 0;

  /* "yt/utilities/lib/misc_utilities.pyx":506
 *                 alloca(2*n_grids * sizeof(np.float64_t))
 *     my_max = 0
 *     best_dim = -1             # <<<<<<<<<<<<<<
 *     for dim in range(3):
 *         n_unique = 0
 */
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  /* "yt/utilities/lib/misc_utilities.pyx":507
 *     my_max = 0
 *     best_dim = -1
 *     for dim in range(3):             # <<<<<<<<<<<<<<
 *         n_unique = 0
 *         uniques = uniquedims[dim]
 */
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    /* "yt/utilities/lib/misc_utilities.pyx":508
 *     best_dim = -1
 *     for dim in range(3):
 *         n_unique = 0             # <<<<<<<<<<<<<<
 *         uniques = uniquedims[dim]
 *         for i in range(n_grids):
 */
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    /* "yt/utilities/lib/misc_utilities.pyx":509
 *     for dim in range(3):
 *         n_unique = 0
 *         uniques = uniquedims[dim]             # <<<<<<<<<<<<<<
 *         for i in range(n_grids):
 *             # Check for disqualification
 */
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    /* "yt/utilities/lib/misc_utilities.pyx":510
 *         n_unique = 0
 *         uniques = uniquedims[dim]
 *         for i in range(n_grids):             # <<<<<<<<<<<<<<
 *             # Check for disqualification
 *             for j in range(2):
 */
    __pyx_t_2 = __pyx_v_n_grids;
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      /* "yt/utilities/lib/misc_utilities.pyx":512
 *         for i in range(n_grids):
 *             # Check for disqualification
 *             for j in range(2):             # <<<<<<<<<<<<<<
 *                 #print "Checking against", i,j,dim,data[i,j,dim]
 *                 if not (l_corner[dim] < data[i, j, dim] and
 */
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        /* "yt/utilities/lib/misc_utilities.pyx":514
 *             for j in range(2):
 *                 #print "Checking against", i,j,dim,data[i,j,dim]
 *                 if not (l_corner[dim] < data[i, j, dim] and             # <<<<<<<<<<<<<<
 *                         data[i, j, dim] < r_corner[dim]):
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 *                 #print "Checking against", i,j,dim,data[i,j,dim]
 *                 if not (l_corner[dim] < data[i, j, dim] and
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        /* "yt/utilities/lib/misc_utilities.pyx":514
 *             for j in range(2):
 *                 #print "Checking against", i,j,dim,data[i,j,dim]
 *                 if not (l_corner[dim] < data[i, j, dim] and             # <<<<<<<<<<<<<<
 *                         data[i, j, dim] < r_corner[dim]):
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 */
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          /* "yt/utilities/lib/misc_utilities.pyx":517
 *                         data[i, j, dim] < r_corner[dim]):
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 *                     continue             # <<<<<<<<<<<<<<
 *                 skipit = 0
 *                 # Add our left ...
 */
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          /* "yt/utilities/lib/misc_utilities.pyx":514
 *             for j in range(2):
 *                 #print "Checking against", i,j,dim,data[i,j,dim]
 *                 if not (l_corner[dim] < data[i, j, dim] and             # <<<<<<<<<<<<<<
 *                         data[i, j, dim] < r_corner[dim]):
 *                     #print "Skipping ", data[i,j,dim]
 */
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        /* "yt/utilities/lib/misc_utilities.pyx":518
 *                     #print "Skipping ", data[i,j,dim]
 *                     continue
 *                 skipit = 0             # <<<<<<<<<<<<<<
 *                 # Add our left ...
 *                 for k in range(n_unique):
 */
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 *                 skipit = 0
 *                 # Add our left ...
 *                 for k in range(n_unique):             # <<<<<<<<<<<<<<
 *                     if uniques[k] == data[i, j, dim]:
 *                         skipit = 1
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          /* "yt/utilities/lib/misc_utilities.pyx":521
 *                 # Add our left ...
 *                 for k in range(n_unique):
 *                     if uniques[k] == data[i, j, dim]:             # <<<<<<<<<<<<<<
 *                         skipit = 1
 *                         #print "Identified", uniques[k], data[i,j,dim], n_unique
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            /* "yt/utilities/lib/misc_utilities.pyx":522
 *                 for k in range(n_unique):
 *                     if uniques[k] == data[i, j, dim]:
 *                         skipit = 1             # <<<<<<<<<<<<<<
 *                         #print "Identified", uniques[k], data[i,j,dim], n_unique
 *                         break
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            /* "yt/utilities/lib/misc_utilities.pyx":524
 *                         skipit = 1
 *                         #print "Identified", uniques[k], data[i,j,dim], n_unique
 *                         break             # <<<<<<<<<<<<<<
 *                 if skipit == 0:
 *                     uniques[n_unique] = data[i, j, dim]
 */
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 *                 # Add our left ...
 *                 for k in range(n_unique):
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 *                         skipit = 1
 *                         #print "Identified", uniques[k], data[i,j,dim], n_unique
 */
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 *                         #print "Identified", uniques[k], data[i,j,dim], n_unique
 *                         break
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          /* "yt/utilities/lib/misc_utilities.pyx":526
 *                         break
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 *                     n_unique += 1
 *         if n_unique > my_max:
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 *                 if skipit == 0:
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 *         if n_unique > my_max:
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 *                         #print "Identified", uniques[k], data[i,j,dim], n_unique
 *                         break
 *                 if skipit == 0:             # <<<<<<<<<<<<<<
 *                     uniques[n_unique] = data[i, j, dim]
 *                     n_unique += 1
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 *                     uniques[n_unique] = data[i, j, dim]
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 *             best_dim = dim
 *             my_max = n_unique
 */
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      /* "yt/utilities/lib/misc_utilities.pyx":529
 *                     n_unique += 1
 *         if n_unique > my_max:
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 *             my_max = n_unique
 *             my_split = (n_unique-1)/2
 */
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 *         if n_unique > my_max:
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 *             my_split = (n_unique-1)/2
 *     # I recognize how lame this is.
 */
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 *             best_dim = dim
 *             my_max = n_unique
 *             my_split = (n_unique-1)/2             # <<<<<<<<<<<<<<
 *     # I recognize how lame this is.
 *     cdef np.ndarray[np.float64_t, ndim=1] tarr = np.empty(my_max, dtype='float64')
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 *         if n_unique > my_max:             # <<<<<<<<<<<<<<
 *             best_dim = dim
 *             my_max = n_unique
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 *             my_split = (n_unique-1)/2
 *     # I recognize how lame this is.
 *     cdef np.ndarray[np.float64_t, ndim=1] tarr = np.empty(my_max, dtype='float64')             # <<<<<<<<<<<<<<
 *     for i in range(my_max):
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 *     # I recognize how lame this is.
 *     cdef np.ndarray[np.float64_t, ndim=1] tarr = np.empty(my_max, dtype='float64')
 *     for i in range(my_max):             # <<<<<<<<<<<<<<
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 *     for i in range(my_max):
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 *     split = tarr[my_split]
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 *                     for wj in range(3):
 *                         if offsets[1][wj] == 0: continue
 */
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            /* "yt/utilities/lib/misc_utilities.pyx":820
 *                     # Now we need to apply our offset
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 *                     if oind[0] < 0 or oind[0] >= dim[0]:             # <<<<<<<<<<<<<<
 *                         continue
 *                     for wj in range(3):
 */
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 *                     if oind[0] < 0 or oind[0] >= dim[0]:
 *                         continue
 *                     for wj in range(3):             # <<<<<<<<<<<<<<
 *                         if offsets[1][wj] == 0: continue
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 */
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            /* "yt/utilities/lib/misc_utilities.pyx":823
 *                         continue
 *                     for wj in range(3):
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 *                         off = (left_index[1] + level_dims[1]*(wj-1))
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 *                         iind[1] = ipos[i, 1] * rf - off
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 *                         if offsets[1][wj] == 0: continue
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 *                         iind[1] = ipos[i, 1] * rf - off             # <<<<<<<<<<<<<<
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 *                         iind[1] = ipos[i, 1] * rf - off
 *                         for oj in range(rf):             # <<<<<<<<<<<<<<
 *                             oind[1] = oj + iind[1]
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 *                         for oj in range(rf):
 *                             oind[1] = oj + iind[1]             # <<<<<<<<<<<<<<
 *                             if oind[1] < 0 or oind[1] >= dim[1]:
 *                                 continue
 */
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 *                             if oind[1] < 0 or oind[1] >= dim[1]:             # <<<<<<<<<<<<<<
 *                                 continue
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 *                             if oind[1] < 0 or oind[1] >= dim[1]:
 *                                 continue             # <<<<<<<<<<<<<<
 *                             for wk in range(3):
 *                                 if offsets[2][wk] == 0: continue
 */
                goto __pyx_L22_continue;

                /* "yt/utilities/lib/misc_utilities.pyx":828
 *                         for oj in range(rf):
 *                             oind[1] = oj + iind[1]
 *                             if oind[1] < 0 or oind[1] >= dim[1]:             # <<<<<<<<<<<<<<
 *                                 continue
 *                             for wk in range(3):
 */
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              /* "yt/utilities/lib/misc_utilities.pyx":830
 *                             if oind[1] < 0 or oind[1] >= dim[1]:
 *                                 continue
 *                             for wk in range(3):             # <<<<<<<<<<<<<<
 *                                 if offsets[2][wk] == 0: continue
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                /* "yt/utilities/lib/misc_utilities.pyx":831
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 *                             for wk in range(3):
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 *                                 off = (left_index[2] + level_dims[2]*(wk-1))
 *                                 iind[2] = ipos[i, 2] * rf - off
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 *                                 iind[2] = ipos[i, 2] * rf - off
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                /* "yt/utilities/lib/misc_utilities.pyx":833
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                  /* "yt/utilities/lib/misc_utilities.pyx":835
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/* "fp_utils.pxd":19
 * cimport cython
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 * cdef inline int imax(int i0, int i1) nogil:             # <<<<<<<<<<<<<<
 *     if i0 > i1: return i0
 *     return i1
 */

static CYTHON_INLINE int __pyx_f_2yt_9utilities_3lib_8fp_utils_imax(int __pyx_v_i0, int __pyx_v_i1) {
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 * 
 * cdef inline int imax(int i0, int i1) nogil:
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 *     return i1
 * 
 */
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 * cdef inline int imax(int i0, int i1) nogil:
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 * 
 * cdef inline np.float64_t fmax(np.float64_t f0, np.float64_t f1) nogil:
 */
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  /* "fp_utils.pxd":19
 * cimport cython
 * 
 * cdef inline int imax(int i0, int i1) nogil:             # <<<<<<<<<<<<<<
 *     if i0 > i1: return i0
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 */

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/* "fp_utils.pxd":23
 *     return i1
 * 
 * cdef inline np.float64_t fmax(np.float64_t f0, np.float64_t f1) nogil:             # <<<<<<<<<<<<<<
 *     if f0 > f1: return f0
 *     return f1
 */

static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_2yt_9utilities_3lib_8fp_utils_fmax(__pyx_t_5numpy_float64_t __pyx_v_f0, __pyx_t_5numpy_float64_t __pyx_v_f1) {
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  int __pyx_t_1;

  /* "fp_utils.pxd":24
 * 
 * cdef inline np.float64_t fmax(np.float64_t f0, np.float64_t f1) nogil:
 *     if f0 > f1: return f0             # <<<<<<<<<<<<<<
 *     return f1
 * 
 */
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  /* "fp_utils.pxd":25
 * cdef inline np.float64_t fmax(np.float64_t f0, np.float64_t f1) nogil:
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 *     return f1             # <<<<<<<<<<<<<<
 * 
 * cdef inline int imin(int i0, int i1) nogil:
 */
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  /* "fp_utils.pxd":23
 *     return i1
 * 
 * cdef inline np.float64_t fmax(np.float64_t f0, np.float64_t f1) nogil:             # <<<<<<<<<<<<<<
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 */

  /* function exit code */
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}

/* "fp_utils.pxd":27
 *     return f1
 * 
 * cdef inline int imin(int i0, int i1) nogil:             # <<<<<<<<<<<<<<
 *     if i0 < i1: return i0
 *     return i1
 */

static CYTHON_INLINE int __pyx_f_2yt_9utilities_3lib_8fp_utils_imin(int __pyx_v_i0, int __pyx_v_i1) {
  int __pyx_r;
  int __pyx_t_1;

  /* "fp_utils.pxd":28
 * 
 * cdef inline int imin(int i0, int i1) nogil:
 *     if i0 < i1: return i0             # <<<<<<<<<<<<<<
 *     return i1
 * 
 */
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  /* "fp_utils.pxd":29
 * cdef inline int imin(int i0, int i1) nogil:
 *     if i0 < i1: return i0
 *     return i1             # <<<<<<<<<<<<<<
 * 
 * cdef inline np.float64_t fmin(np.float64_t f0, np.float64_t f1) nogil:
 */
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  /* "fp_utils.pxd":27
 *     return f1
 * 
 * cdef inline int imin(int i0, int i1) nogil:             # <<<<<<<<<<<<<<
 *     if i0 < i1: return i0
 *     return i1
 */

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/* "fp_utils.pxd":31
 *     return i1
 * 
 * cdef inline np.float64_t fmin(np.float64_t f0, np.float64_t f1) nogil:             # <<<<<<<<<<<<<<
 *     if f0 < f1: return f0
 *     return f1
 */

static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_2yt_9utilities_3lib_8fp_utils_fmin(__pyx_t_5numpy_float64_t __pyx_v_f0, __pyx_t_5numpy_float64_t __pyx_v_f1) {
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  /* "fp_utils.pxd":32
 * 
 * cdef inline np.float64_t fmin(np.float64_t f0, np.float64_t f1) nogil:
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 *     return f1
 * 
 */
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  /* "fp_utils.pxd":33
 * cdef inline np.float64_t fmin(np.float64_t f0, np.float64_t f1) nogil:
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 * 
 * cdef inline np.float64_t fabs(np.float64_t f0) nogil:
 */
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  /* "fp_utils.pxd":31
 *     return i1
 * 
 * cdef inline np.float64_t fmin(np.float64_t f0, np.float64_t f1) nogil:             # <<<<<<<<<<<<<<
 *     if f0 < f1: return f0
 *     return f1
 */

  /* function exit code */
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}

/* "fp_utils.pxd":35
 *     return f1
 * 
 * cdef inline np.float64_t fabs(np.float64_t f0) nogil:             # <<<<<<<<<<<<<<
 *     if f0 < 0.0: return -f0
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  /* "yt/utilities/lib/misc_utilities.pyx":216
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * def lines(np.ndarray[np.float64_t, ndim=3] image,             # <<<<<<<<<<<<<<
 *           np.ndarray[np.int64_t, ndim=1] xs,
 *           np.ndarray[np.int64_t, ndim=1] ys,
 */
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 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * def zlines(np.ndarray[np.float64_t, ndim=3] image,             # <<<<<<<<<<<<<<
 *         np.ndarray[np.float64_t, ndim=2] zbuffer,
 *         np.ndarray[np.int64_t, ndim=1] xs,
 */
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  /* "yt/utilities/lib/misc_utilities.pyx":403
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * def zpoints(np.ndarray[np.float64_t, ndim=3] image,             # <<<<<<<<<<<<<<
 *         np.ndarray[np.float64_t, ndim=2] zbuffer,
 *         np.ndarray[np.int64_t, ndim=1] xs,
 */
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  /* "yt/utilities/lib/misc_utilities.pyx":450
 * 
 * 
 * def rotate_vectors(np.ndarray[np.float64_t, ndim=3] vecs,             # <<<<<<<<<<<<<<
 *         np.ndarray[np.float64_t, ndim=2] R):
 *     cdef int nx = vecs.shape[0]
 */
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  /* "yt/utilities/lib/misc_utilities.pyx":465
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * def get_color_bounds(np.ndarray[np.float64_t, ndim=1] px,             # <<<<<<<<<<<<<<
 *                      np.ndarray[np.float64_t, ndim=1] py,
 *                      np.ndarray[np.float64_t, ndim=1] pdx,
 */
  __pyx_tuple__39 = PyTuple_Pack(16, __pyx_n_s_px, __pyx_n_s_py, __pyx_n_s_pdx, __pyx_n_s_pdy, __pyx_n_s_value, __pyx_n_s_leftx, __pyx_n_s_rightx, __pyx_n_s_lefty, __pyx_n_s_righty, __pyx_n_s_mindx, __pyx_n_s_maxdx, __pyx_n_s_i, __pyx_n_s_mi, __pyx_n_s_ma, __pyx_n_s_v, __pyx_n_s_np); if (unlikely(!__pyx_tuple__39)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 465; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  /* "yt/utilities/lib/misc_utilities.pyx":493
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * def kdtree_get_choices(np.ndarray[np.float64_t, ndim=3] data,             # <<<<<<<<<<<<<<
 *                        np.ndarray[np.float64_t, ndim=1] l_corner,
 *                        np.ndarray[np.float64_t, ndim=1] r_corner):
 */
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  /* "yt/utilities/lib/misc_utilities.pyx":556
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * def get_box_grids_level(np.ndarray[np.float64_t, ndim=1] left_edge,             # <<<<<<<<<<<<<<
 *                         np.ndarray[np.float64_t, ndim=1] right_edge,
 *                         int level,
 */
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  /* "yt/utilities/lib/misc_utilities.pyx":584
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * def get_box_grids_below_level(             # <<<<<<<<<<<<<<
 *                         np.ndarray[np.float64_t, ndim=1] left_edge,
 *                         np.ndarray[np.float64_t, ndim=1] right_edge,
 */
  __pyx_tuple__45 = PyTuple_Pack(13, __pyx_n_s_left_edge, __pyx_n_s_right_edge, __pyx_n_s_level, __pyx_n_s_left_edges, __pyx_n_s_right_edges, __pyx_n_s_levels, __pyx_n_s_mask, __pyx_n_s_min_level, __pyx_n_s_i, __pyx_n_s_n, __pyx_n_s_nx, __pyx_n_s_inside, __pyx_n_s_eps); if (unlikely(!__pyx_tuple__45)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 584; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__45);
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  /* "yt/utilities/lib/misc_utilities.pyx":611
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * def find_values_at_point(np.ndarray[np.float64_t, ndim=1] point,             # <<<<<<<<<<<<<<
 *                          np.ndarray[np.float64_t, ndim=2] left_edges,
 *                          np.ndarray[np.float64_t, ndim=2] right_edges,
 */
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  __Pyx_GIVEREF(__pyx_tuple__47);
  __pyx_codeobj__48 = (PyObject*)__Pyx_PyCode_New(6, 0, 14, 0, 0, __pyx_empty_bytes, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_tuple__47, __pyx_empty_tuple, __pyx_empty_tuple, __pyx_kp_s_Users_goldbaum_Documents_yt_hg, __pyx_n_s_find_values_at_point, 611, __pyx_empty_bytes); if (unlikely(!__pyx_codeobj__48)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 611; __pyx_clineno = __LINE__; goto __pyx_L1_error;}

  /* "yt/utilities/lib/misc_utilities.pyx":646
 * #@cython.boundscheck(False)
 * #@cython.wraparound(False)
 * def obtain_rvec(data):             # <<<<<<<<<<<<<<
 *     # This is just to let the pointers exist and whatnot.  We can't cdef them
 *     # inside conditionals.
 */
  __pyx_tuple__49 = PyTuple_Pack(15, __pyx_n_s_data, __pyx_n_s_xf, __pyx_n_s_yf, __pyx_n_s_zf, __pyx_n_s_rf, __pyx_n_s_xg, __pyx_n_s_yg, __pyx_n_s_zg, __pyx_n_s_rg, __pyx_n_s_c, __pyx_n_s_i, __pyx_n_s_j, __pyx_n_s_k, __pyx_n_s_center, __pyx_n_s_shape); if (unlikely(!__pyx_tuple__49)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 646; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
  __Pyx_GOTREF(__pyx_tuple__49);
  __Pyx_GIVEREF(__pyx_tuple__49);
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  /* "yt/utilities/lib/misc_utilities.pyx":691
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * def obtain_rv_vec(data, field_names = ("velocity_x",             # <<<<<<<<<<<<<<
 *                                        "velocity_y",
 *                                        "velocity_z"),
 */
  __pyx_tuple__51 = PyTuple_Pack(16, __pyx_n_s_data, __pyx_n_s_field_names, __pyx_n_s_bulk_vector, __pyx_n_s_vxf, __pyx_n_s_vyf, __pyx_n_s_vzf, __pyx_n_s_rvf, __pyx_n_s_vxg, __pyx_n_s_vyg, __pyx_n_s_vzg, __pyx_n_s_rvg, __pyx_n_s_bv, __pyx_n_s_i, __pyx_n_s_j, __pyx_n_s_k, __pyx_n_s_shape); if (unlikely(!__pyx_tuple__51)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 691; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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  __Pyx_GIVEREF(__pyx_tuple__51);
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  /* "yt/utilities/lib/misc_utilities.pyx":752
 *         return rvg
 * 
 * def grow_flagging_field(oofield):             # <<<<<<<<<<<<<<
 *     cdef np.ndarray[np.uint8_t, ndim=3] ofield = oofield.astype("uint8")
 *     cdef np.ndarray[np.uint8_t, ndim=3] nfield
 */
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  __Pyx_GOTREF(__pyx_tuple__53);
  __Pyx_GIVEREF(__pyx_tuple__53);
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  /* "yt/utilities/lib/misc_utilities.pyx":777
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * def fill_region(input_fields, output_fields,             # <<<<<<<<<<<<<<
 *                 np.int32_t output_level,
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static size_t __Pyx_BufFmt_TypeCharToStandardSize(char ch, int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return 2;
    case 'i': case 'I': case 'l': case 'L': return 4;
    case 'q': case 'Q': return 8;
    case 'f': return (is_complex ? 8 : 4);
    case 'd': return (is_complex ? 16 : 8);
    case 'g': {
      PyErr_SetString(PyExc_ValueError, "Python does not define a standard format string size for long double ('g')..");
      return 0;
    }
    case 'O': case 'P': return sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static size_t __Pyx_BufFmt_TypeCharToNativeSize(char ch, int is_complex) {
  switch (ch) {
    case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(short);
    case 'i': case 'I': return sizeof(int);
    case 'l': case 'L': return sizeof(long);
    #ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(PY_LONG_LONG);
    #endif
    case 'f': return sizeof(float) * (is_complex ? 2 : 1);
    case 'd': return sizeof(double) * (is_complex ? 2 : 1);
    case 'g': return sizeof(long double) * (is_complex ? 2 : 1);
    case 'O': case 'P': return sizeof(void*);
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
typedef struct { char c; short x; } __Pyx_st_short;
typedef struct { char c; int x; } __Pyx_st_int;
typedef struct { char c; long x; } __Pyx_st_long;
typedef struct { char c; float x; } __Pyx_st_float;
typedef struct { char c; double x; } __Pyx_st_double;
typedef struct { char c; long double x; } __Pyx_st_longdouble;
typedef struct { char c; void *x; } __Pyx_st_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { char c; PY_LONG_LONG x; } __Pyx_st_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToAlignment(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_st_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_st_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_st_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_st_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_st_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_st_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_st_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_st_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
/* These are for computing the padding at the end of the struct to align
   on the first member of the struct. This will probably the same as above,
   but we don't have any guarantees.
 */
typedef struct { short x; char c; } __Pyx_pad_short;
typedef struct { int x; char c; } __Pyx_pad_int;
typedef struct { long x; char c; } __Pyx_pad_long;
typedef struct { float x; char c; } __Pyx_pad_float;
typedef struct { double x; char c; } __Pyx_pad_double;
typedef struct { long double x; char c; } __Pyx_pad_longdouble;
typedef struct { void *x; char c; } __Pyx_pad_void_p;
#ifdef HAVE_LONG_LONG
typedef struct { PY_LONG_LONG x; char c; } __Pyx_pad_longlong;
#endif
static size_t __Pyx_BufFmt_TypeCharToPadding(char ch, CYTHON_UNUSED int is_complex) {
  switch (ch) {
    case '?': case 'c': case 'b': case 'B': case 's': case 'p': return 1;
    case 'h': case 'H': return sizeof(__Pyx_pad_short) - sizeof(short);
    case 'i': case 'I': return sizeof(__Pyx_pad_int) - sizeof(int);
    case 'l': case 'L': return sizeof(__Pyx_pad_long) - sizeof(long);
#ifdef HAVE_LONG_LONG
    case 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
#endif
    case 'f': return sizeof(__Pyx_pad_float) - sizeof(float);
    case 'd': return sizeof(__Pyx_pad_double) - sizeof(double);
    case 'g': return sizeof(__Pyx_pad_longdouble) - sizeof(long double);
    case 'P': case 'O': return sizeof(__Pyx_pad_void_p) - sizeof(void*);
    default:
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
}
static char __Pyx_BufFmt_TypeCharToGroup(char ch, int is_complex) {
  switch (ch) {
    case 'c':
        return 'H';
    case 'b': case 'h': case 'i':
    case 'l': case 'q': case 's': case 'p':
        return 'I';
    case 'B': case 'H': case 'I': case 'L': case 'Q':
        return 'U';
    case 'f': case 'd': case 'g':
        return (is_complex ? 'C' : 'R');
    case 'O':
        return 'O';
    case 'P':
        return 'P';
    default: {
      __Pyx_BufFmt_RaiseUnexpectedChar(ch);
      return 0;
    }
  }
}
static void __Pyx_BufFmt_RaiseExpected(__Pyx_BufFmt_Context* ctx) {
  if (ctx->head == NULL || ctx->head->field == &ctx->root) {
    const char* expected;
    const char* quote;
    if (ctx->head == NULL) {
      expected = "end";
      quote = "";
    } else {
      expected = ctx->head->field->type->name;
      quote = "'";
    }
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected %s%s%s but got %s",
                 quote, expected, quote,
                 __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex));
  } else {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_StructField* parent = (ctx->head - 1)->field;
    PyErr_Format(PyExc_ValueError,
                 "Buffer dtype mismatch, expected '%s' but got %s in '%s.%s'",
                 field->type->name, __Pyx_BufFmt_DescribeTypeChar(ctx->enc_type, ctx->is_complex),
                 parent->type->name, field->name);
  }
}
static int __Pyx_BufFmt_ProcessTypeChunk(__Pyx_BufFmt_Context* ctx) {
  char group;
  size_t size, offset, arraysize = 1;
  if (ctx->enc_type == 0) return 0;
  if (ctx->head->field->type->arraysize[0]) {
    int i, ndim = 0;
    if (ctx->enc_type == 's' || ctx->enc_type == 'p') {
        ctx->is_valid_array = ctx->head->field->type->ndim == 1;
        ndim = 1;
        if (ctx->enc_count != ctx->head->field->type->arraysize[0]) {
            PyErr_Format(PyExc_ValueError,
                         "Expected a dimension of size %zu, got %zu",
                         ctx->head->field->type->arraysize[0], ctx->enc_count);
            return -1;
        }
    }
    if (!ctx->is_valid_array) {
      PyErr_Format(PyExc_ValueError, "Expected %d dimensions, got %d",
                   ctx->head->field->type->ndim, ndim);
      return -1;
    }
    for (i = 0; i < ctx->head->field->type->ndim; i++) {
      arraysize *= ctx->head->field->type->arraysize[i];
    }
    ctx->is_valid_array = 0;
    ctx->enc_count = 1;
  }
  group = __Pyx_BufFmt_TypeCharToGroup(ctx->enc_type, ctx->is_complex);
  do {
    __Pyx_StructField* field = ctx->head->field;
    __Pyx_TypeInfo* type = field->type;
    if (ctx->enc_packmode == '@' || ctx->enc_packmode == '^') {
      size = __Pyx_BufFmt_TypeCharToNativeSize(ctx->enc_type, ctx->is_complex);
    } else {
      size = __Pyx_BufFmt_TypeCharToStandardSize(ctx->enc_type, ctx->is_complex);
    }
    if (ctx->enc_packmode == '@') {
      size_t align_at = __Pyx_BufFmt_TypeCharToAlignment(ctx->enc_type, ctx->is_complex);
      size_t align_mod_offset;
      if (align_at == 0) return -1;
      align_mod_offset = ctx->fmt_offset % align_at;
      if (align_mod_offset > 0) ctx->fmt_offset += align_at - align_mod_offset;
      if (ctx->struct_alignment == 0)
          ctx->struct_alignment = __Pyx_BufFmt_TypeCharToPadding(ctx->enc_type,
                                                                 ctx->is_complex);
    }
    if (type->size != size || type->typegroup != group) {
      if (type->typegroup == 'C' && type->fields != NULL) {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        ++ctx->head;
        ctx->head->field = type->fields;
        ctx->head->parent_offset = parent_offset;
        continue;
      }
      if ((type->typegroup == 'H' || group == 'H') && type->size == size) {
      } else {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
      }
    }
    offset = ctx->head->parent_offset + field->offset;
    if (ctx->fmt_offset != offset) {
      PyErr_Format(PyExc_ValueError,
                   "Buffer dtype mismatch; next field is at offset %" CYTHON_FORMAT_SSIZE_T "d but %" CYTHON_FORMAT_SSIZE_T "d expected",
                   (Py_ssize_t)ctx->fmt_offset, (Py_ssize_t)offset);
      return -1;
    }
    ctx->fmt_offset += size;
    if (arraysize)
      ctx->fmt_offset += (arraysize - 1) * size;
    --ctx->enc_count;
    while (1) {
      if (field == &ctx->root) {
        ctx->head = NULL;
        if (ctx->enc_count != 0) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return -1;
        }
        break;
      }
      ctx->head->field = ++field;
      if (field->type == NULL) {
        --ctx->head;
        field = ctx->head->field;
        continue;
      } else if (field->type->typegroup == 'S') {
        size_t parent_offset = ctx->head->parent_offset + field->offset;
        if (field->type->fields->type == NULL) continue;
        field = field->type->fields;
        ++ctx->head;
        ctx->head->field = field;
        ctx->head->parent_offset = parent_offset;
        break;
      } else {
        break;
      }
    }
  } while (ctx->enc_count);
  ctx->enc_type = 0;
  ctx->is_complex = 0;
  return 0;
}
static CYTHON_INLINE PyObject *
__pyx_buffmt_parse_array(__Pyx_BufFmt_Context* ctx, const char** tsp)
{
    const char *ts = *tsp;
    int i = 0, number;
    int ndim = ctx->head->field->type->ndim;
;
    ++ts;
    if (ctx->new_count != 1) {
        PyErr_SetString(PyExc_ValueError,
                        "Cannot handle repeated arrays in format string");
        return NULL;
    }
    if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
    while (*ts && *ts != ')') {
        switch (*ts) {
            case ' ': case '\f': case '\r': case '\n': case '\t': case '\v':  continue;
            default:  break;
        }
        number = __Pyx_BufFmt_ExpectNumber(&ts);
        if (number == -1) return NULL;
        if (i < ndim && (size_t) number != ctx->head->field->type->arraysize[i])
            return PyErr_Format(PyExc_ValueError,
                        "Expected a dimension of size %zu, got %d",
                        ctx->head->field->type->arraysize[i], number);
        if (*ts != ',' && *ts != ')')
            return PyErr_Format(PyExc_ValueError,
                                "Expected a comma in format string, got '%c'", *ts);
        if (*ts == ',') ts++;
        i++;
    }
    if (i != ndim)
        return PyErr_Format(PyExc_ValueError, "Expected %d dimension(s), got %d",
                            ctx->head->field->type->ndim, i);
    if (!*ts) {
        PyErr_SetString(PyExc_ValueError,
                        "Unexpected end of format string, expected ')'");
        return NULL;
    }
    ctx->is_valid_array = 1;
    ctx->new_count = 1;
    *tsp = ++ts;
    return Py_None;
}
static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
  int got_Z = 0;
  while (1) {
    switch(*ts) {
      case 0:
        if (ctx->enc_type != 0 && ctx->head == NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        if (ctx->head != NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        return ts;
      case ' ':
      case '\r':
      case '\n':
        ++ts;
        break;
      case '<':
        if (!__Pyx_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
          return NULL;
        }
        ctx->new_packmode = '=';
        ++ts;
        break;
      case '=':
      case '@':
      case '^':
        ctx->new_packmode = *ts++;
        break;
      case 'T':
        {
          const char* ts_after_sub;
          size_t i, struct_count = ctx->new_count;
          size_t struct_alignment = ctx->struct_alignment;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          ctx->enc_count = 0;
          ctx->struct_alignment = 0;
          ++ts;
          ts_after_sub = ts;
          for (i = 0; i != struct_count; ++i) {
            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
            if (!ts_after_sub) return NULL;
          }
          ts = ts_after_sub;
          if (struct_alignment) ctx->struct_alignment = struct_alignment;
        }
        break;
      case '}':
        {
          size_t alignment = ctx->struct_alignment;
          ++ts;
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_type = 0;
          if (alignment && ctx->fmt_offset % alignment) {
            ctx->fmt_offset += alignment - (ctx->fmt_offset % alignment);
          }
        }
        return ts;
      case 'x':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->fmt_offset += ctx->new_count;
        ctx->new_count = 1;
        ctx->enc_count = 0;
        ctx->enc_type = 0;
        ctx->enc_packmode = ctx->new_packmode;
        ++ts;
        break;
      case 'Z':
        got_Z = 1;
        ++ts;
        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
          return NULL;
        }
      case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
      case 'l': case 'L': case 'q': case 'Q':
      case 'f': case 'd': case 'g':
      case 'O': case 'p':
        if (ctx->enc_type == *ts && got_Z == ctx->is_complex &&
            ctx->enc_packmode == ctx->new_packmode) {
          ctx->enc_count += ctx->new_count;
          ctx->new_count = 1;
          got_Z = 0;
          ++ts;
          break;
        }
      case 's':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->enc_count = ctx->new_count;
        ctx->enc_packmode = ctx->new_packmode;
        ctx->enc_type = *ts;
        ctx->is_complex = got_Z;
        ++ts;
        ctx->new_count = 1;
        got_Z = 0;
        break;
      case ':':
        ++ts;
        while(*ts != ':') ++ts;
        ++ts;
        break;
      case '(':
        if (!__pyx_buffmt_parse_array(ctx, &ts)) return NULL;
        break;
      default:
        {
          int number = __Pyx_BufFmt_ExpectNumber(&ts);
          if (number == -1) return NULL;
          ctx->new_count = (size_t)number;
        }
    }
  }
}
static CYTHON_INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) {
  buf->buf = NULL;
  buf->obj = NULL;
  buf->strides = __Pyx_zeros;
  buf->shape = __Pyx_zeros;
  buf->suboffsets = __Pyx_minusones;
}
static CYTHON_INLINE int __Pyx_GetBufferAndValidate(
        Py_buffer* buf, PyObject* obj,  __Pyx_TypeInfo* dtype, int flags,
        int nd, int cast, __Pyx_BufFmt_StackElem* stack)
{
  if (obj == Py_None || obj == NULL) {
    __Pyx_ZeroBuffer(buf);
    return 0;
  }
  buf->buf = NULL;
  if (__Pyx_GetBuffer(obj, buf, flags) == -1) goto fail;
  if (buf->ndim != nd) {
    PyErr_Format(PyExc_ValueError,
                 "Buffer has wrong number of dimensions (expected %d, got %d)",
                 nd, buf->ndim);
    goto fail;
  }
  if (!cast) {
    __Pyx_BufFmt_Context ctx;
    __Pyx_BufFmt_Init(&ctx, stack, dtype);
    if (!__Pyx_BufFmt_CheckString(&ctx, buf->format)) goto fail;
  }
  if ((unsigned)buf->itemsize != dtype->size) {
    PyErr_Format(PyExc_ValueError,
      "Item size of buffer (%" CYTHON_FORMAT_SSIZE_T "d byte%s) does not match size of '%s' (%" CYTHON_FORMAT_SSIZE_T "d byte%s)",
      buf->itemsize, (buf->itemsize > 1) ? "s" : "",
      dtype->name, (Py_ssize_t)dtype->size, (dtype->size > 1) ? "s" : "");
    goto fail;
  }
  if (buf->suboffsets == NULL) buf->suboffsets = __Pyx_minusones;
  return 0;
fail:;
  __Pyx_ZeroBuffer(buf);
  return -1;
}
static CYTHON_INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (info->buf == NULL) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}

static CYTHON_INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();
    tmp_type = tstate->curexc_type;
    tmp_value = tstate->curexc_value;
    tmp_tb = tstate->curexc_traceback;
    tstate->curexc_type = type;
    tstate->curexc_value = value;
    tstate->curexc_traceback = tb;
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_Restore(type, value, tb);
#endif
}
static CYTHON_INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
#if CYTHON_COMPILING_IN_CPYTHON
    PyThreadState *tstate = PyThreadState_GET();
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(type, value, tb);
#endif
}

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {
    PyObject *result;
    ternaryfunc call = func->ob_type->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

static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {
    PyObject *result;
#if CYTHON_COMPILING_IN_CPYTHON
    result = PyDict_GetItem(__pyx_d, name);
    if (likely(result)) {
        Py_INCREF(result);
    } else {
#else
    result = PyObject_GetItem(__pyx_d, name);
    if (!result) {
        PyErr_Clear();
#endif
        result = __Pyx_GetBuiltinName(name);
    }
    return result;
}

static void __Pyx_RaiseBufferIndexError(int axis) {
  PyErr_Format(PyExc_IndexError,
     "Out of bounds on buffer access (axis %d)", axis);
}

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

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

#if CYTHON_COMPILING_IN_CPYTHON
static PyObject* __Pyx__PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject *result;
    PyObject *args = PyTuple_New(1);
    if (unlikely(!args)) return NULL;
    Py_INCREF(arg);
    PyTuple_SET_ITEM(args, 0, arg);
    result = __Pyx_PyObject_Call(func, args, NULL);
    Py_DECREF(args);
    return result;
}
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_O)) {
            return __Pyx_PyObject_CallMethO(func, arg);
        }
    }
    return __Pyx__PyObject_CallOneArg(func, arg);
}
#else
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg) {
    PyObject* args = PyTuple_Pack(1, arg);
    return (likely(args)) ? __Pyx_PyObject_Call(func, args, NULL) : NULL;
}
#endif

#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func) {
#ifdef __Pyx_CyFunction_USED
    if (likely(PyCFunction_Check(func) || PyObject_TypeCheck(func, __pyx_CyFunctionType))) {
#else
    if (likely(PyCFunction_Check(func))) {
#endif
        if (likely(PyCFunction_GET_FLAGS(func) & METH_NOARGS)) {
            return __Pyx_PyObject_CallMethO(func, NULL);
        }
    }
    return __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL);
}
#endif

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

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

#if PY_MAJOR_VERSION < 3
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
                        CYTHON_UNUSED PyObject *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_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 PY_VERSION_HEX >= 0x03030000
    if (cause) {
#else
    if (cause && cause != Py_None) {
#endif
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = PyThreadState_GET();
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

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

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

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

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_VERSION_HEX < 0x03030000
    PyObject *py_import;
    py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);
    if (!py_import)
        goto bad;
    #endif
    if (from_list)
        list = from_list;
    else {
        empty_list = PyList_New(0);
        if (!empty_list)
            goto bad;
        list = empty_list;
    }
    global_dict = PyModule_GetDict(__pyx_m);
    if (!global_dict)
        goto bad;
    empty_dict = PyDict_New();
    if (!empty_dict)
        goto bad;
    {
        #if PY_MAJOR_VERSION >= 3
        if (level == -1) {
            if (strchr(__Pyx_MODULE_NAME, '.')) {
                #if PY_VERSION_HEX < 0x03030000
                PyObject *py_level = PyInt_FromLong(1);
                if (!py_level)
                    goto bad;
                module = PyObject_CallFunctionObjArgs(py_import,
                    name, global_dict, empty_dict, list, py_level, NULL);
                Py_DECREF(py_level);
                #else
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                #endif
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_VERSION_HEX < 0x03030000
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_VERSION_HEX < 0x03030000
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

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

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);
}

#include "compile.h"
#include "frameobject.h"
#include "traceback.h"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 0;
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(filename);
    #else
    py_srcfile = PyUnicode_FromString(filename);
    #endif
    if (!py_srcfile) goto bad;
    if (c_line) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);
        #endif
    }
    else {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromString(funcname);
        #else
        py_funcname = PyUnicode_FromString(funcname);
        #endif
    }
    if (!py_funcname) goto bad;
    py_code = __Pyx_PyCode_New(
        0,
        0,
        0,
        0,
        0,
        __pyx_empty_bytes, /*PyObject *code,*/
        __pyx_empty_tuple, /*PyObject *consts,*/
        __pyx_empty_tuple, /*PyObject *names,*/
        __pyx_empty_tuple, /*PyObject *varnames,*/
        __pyx_empty_tuple, /*PyObject *freevars,*/
        __pyx_empty_tuple, /*PyObject *cellvars,*/
        py_srcfile,   /*PyObject *filename,*/
        py_funcname,  /*PyObject *name,*/
        py_line,
        __pyx_empty_bytes  /*PyObject *lnotab*/
    );
    Py_DECREF(py_srcfile);
    Py_DECREF(py_funcname);
    return py_code;
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    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;
    py_code = __pyx_find_code_object(c_line ? c_line : py_line);
    if (!py_code) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __pyx_insert_code_object(c_line ? c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        __pyx_d,      /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    py_frame->f_lineno = py_line;
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    if (!obj) return;
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
        if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) { __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view); return; }
    Py_DECREF(obj);
    view->obj = NULL;
}
#endif


          #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;\
    }

#if CYTHON_USE_PYLONG_INTERNALS
  #include "longintrepr.h"
#endif

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

static CYTHON_INLINE npy_int32 __Pyx_PyInt_As_npy_int32(PyObject *x) {
    const npy_int32 neg_one = (npy_int32) -1, const_zero = (npy_int32) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_int32) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_int32, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_int32) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int32) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_int32, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_int32) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int32) >= 2 * PyLong_SHIFT) {
                            return (npy_int32) (((((npy_int32)digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int32) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int32) >= 3 * PyLong_SHIFT) {
                            return (npy_int32) (((((((npy_int32)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int32) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int32) >= 4 * PyLong_SHIFT) {
                            return (npy_int32) (((((((((npy_int32)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (npy_int32) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_int32) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int32, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(npy_int32) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int32, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int32) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_int32, sdigit, -(sdigit) digits[0])
                case  1: __PYX_VERIFY_RETURN_INT(npy_int32,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_int32) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int32) -(((((npy_int32)digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_int32) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int32) (((((npy_int32)digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_int32) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int32) -(((((((npy_int32)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int32) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int32) (((((((npy_int32)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_int32) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int32) -(((((((((npy_int32)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int32) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int32, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int32) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int32) (((((((((npy_int32)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_int32) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int32, long, PyLong_AsLong(x))
            } else if (sizeof(npy_int32) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int32, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_int32 val;
            PyObject *v = __Pyx_PyNumber_Int(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (npy_int32) -1;
        }
    } else {
        npy_int32 val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (npy_int32) -1;
        val = __Pyx_PyInt_As_npy_int32(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_int32");
    return (npy_int32) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_int32");
    return (npy_int32) -1;
}

static CYTHON_INLINE npy_int64 __Pyx_PyInt_As_npy_int64(PyObject *x) {
    const npy_int64 neg_one = (npy_int64) -1, const_zero = (npy_int64) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(npy_int64) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(npy_int64, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (npy_int64) val;
        }
    } else
#endif
    if (likely(PyLong_Check(x))) {
        if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int64) 0;
                case  1: __PYX_VERIFY_RETURN_INT(npy_int64, digit, digits[0])
                case 2:
                    if (8 * sizeof(npy_int64) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int64) >= 2 * PyLong_SHIFT) {
                            return (npy_int64) (((((npy_int64)digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int64) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int64) >= 3 * PyLong_SHIFT) {
                            return (npy_int64) (((((((npy_int64)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int64) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int64) >= 4 * PyLong_SHIFT) {
                            return (npy_int64) (((((((((npy_int64)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
            }
#endif
#if CYTHON_COMPILING_IN_CPYTHON
            if (unlikely(Py_SIZE(x) < 0)) {
                goto raise_neg_overflow;
            }
#else
            {
                int result = PyObject_RichCompareBool(x, Py_False, Py_LT);
                if (unlikely(result < 0))
                    return (npy_int64) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(npy_int64) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, unsigned long, PyLong_AsUnsignedLong(x))
            } else if (sizeof(npy_int64) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, unsigned PY_LONG_LONG, PyLong_AsUnsignedLongLong(x))
            }
        } else {
#if CYTHON_USE_PYLONG_INTERNALS
            const digit* digits = ((PyLongObject*)x)->ob_digit;
            switch (Py_SIZE(x)) {
                case  0: return (npy_int64) 0;
                case -1: __PYX_VERIFY_RETURN_INT(npy_int64, sdigit, -(sdigit) digits[0])
                case  1: __PYX_VERIFY_RETURN_INT(npy_int64,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(npy_int64) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int64) -(((((npy_int64)digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(npy_int64) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 2 * PyLong_SHIFT) {
                            return (npy_int64) (((((npy_int64)digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(npy_int64) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int64) -(((((((npy_int64)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(npy_int64) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 3 * PyLong_SHIFT) {
                            return (npy_int64) (((((((npy_int64)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(npy_int64) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, long, -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int64) -(((((((((npy_int64)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(npy_int64) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(npy_int64, unsigned long, (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0])))
                        } else if (8 * sizeof(npy_int64) - 1 > 4 * PyLong_SHIFT) {
                            return (npy_int64) (((((((((npy_int64)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(npy_int64) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, long, PyLong_AsLong(x))
            } else if (sizeof(npy_int64) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(npy_int64, PY_LONG_LONG, PyLong_AsLongLong(x))
            }
        }
        {
#if CYTHON_COMPILING_IN_PYPY && !defined(_PyLong_AsByteArray)
            PyErr_SetString(PyExc_RuntimeError,
                            "_PyLong_AsByteArray() not available in PyPy, cannot convert large numbers");
#else
            npy_int64 val;
            PyObject *v = __Pyx_PyNumber_Int(x);
 #if PY_MAJOR_VERSION < 3
            if (likely(v) && !PyLong_Check(v)) {
                PyObject *tmp = v;
                v = PyNumber_Long(tmp);
                Py_DECREF(tmp);
            }
 #endif
            if (likely(v)) {
                int one = 1; int is_little = (int)*(unsigned char *)&one;
                unsigned char *bytes = (unsigned char *)&val;
                int ret = _PyLong_AsByteArray((PyLongObject *)v,
                                              bytes, sizeof(val),
                                              is_little, !is_unsigned);
                Py_DECREF(v);
                if (likely(!ret))
                    return val;
            }
#endif
            return (npy_int64) -1;
        }
    } else {
        npy_int64 val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (npy_int64) -1;
        val = __Pyx_PyInt_As_npy_int64(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to npy_int64");
    return (npy_int64) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to npy_int64");
    return (npy_int64) -1;
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_int(int value) {
    const int neg_one = (int) -1, const_zero = (int) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(int) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_Py_intptr_t(Py_intptr_t value) {
    const Py_intptr_t neg_one = (Py_intptr_t) -1, const_zero = (Py_intptr_t) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(Py_intptr_t) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(Py_intptr_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(Py_intptr_t) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(Py_intptr_t),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int64(npy_int64 value) {
    const npy_int64 neg_one = (npy_int64) -1, const_zero = (npy_int64) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_int64) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int64) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(npy_int64) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(npy_int64) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int64) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int64),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE long __Pyx_pow_long(long b, long e) {
    long t = b;
    switch (e) {
        case 3:
            t *= b;
        case 2:
            t *= b;
        case 1:
            return t;
        case 0:
            return 1;
    }
    #if 1
    if (unlikely(e<0)) return 0;
    #endif
    t = 1;
    while (likely(e)) {
        t *= (b * (e&1)) | ((~e)&1);
        b *= b;
        e >>= 1;
    }
    return t;
}

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

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {
    const long neg_one = (long) -1, const_zero = (long) 0;
    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);
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

static CYTHON_INLINE __pyx_t_5numpy_int64_t __Pyx_pow___pyx_t_5numpy_int64_t(__pyx_t_5numpy_int64_t b, __pyx_t_5numpy_int64_t e) {
    __pyx_t_5numpy_int64_t t = b;
    switch (e) {
        case 3:
            t *= b;
        case 2:
            t *= b;
        case 1:
            return t;
        case 0:
            return 1;
    }
    #if 1
    if (unlikely(e<0)) return 0;
    #endif
    t = 1;
    while (likely(e)) {
        t *= (b * (e&1)) | ((~e)&1);
        b *= b;
        e >>= 1;
    }
    return t;
}

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

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eqf(__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_sumf(__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_difff(__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_prodf(__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;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_quotf(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        float denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_negf(__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_zerof(__pyx_t_float_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_float_complex __Pyx_c_conjf(__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_absf(__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_powf(__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:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(a, a);
                    case 3:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, a);
                    case 4:
                        z = __Pyx_c_prodf(a, a);
                        return __Pyx_c_prodf(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_absf(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

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

#if CYTHON_CCOMPLEX
#else
    static CYTHON_INLINE int __Pyx_c_eq(__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(__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(__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(__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;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_quot(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        double denom = b.real * b.real + b.imag * b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_neg(__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(__pyx_t_double_complex a) {
       return (a.real == 0) && (a.imag == 0);
    }
    static CYTHON_INLINE __pyx_t_double_complex __Pyx_c_conj(__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(__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(__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:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(a, a);
                    case 3:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, a);
                    case 4:
                        z = __Pyx_c_prod(a, a);
                        return __Pyx_c_prod(z, z);
                }
            }
            if (a.imag == 0) {
                if (a.real == 0) {
                    return a;
                }
                r = a.real;
                theta = 0;
            } else {
                r = __Pyx_c_abs(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

static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value) {
    const enum NPY_TYPES neg_one = (enum NPY_TYPES) -1, const_zero = (enum NPY_TYPES) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(enum NPY_TYPES) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
        }
    } else {
        if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),
                                     little, !is_unsigned);
    }
}

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

#ifndef __PYX_HAVE_RT_ImportModule
#define __PYX_HAVE_RT_ImportModule
static PyObject *__Pyx_ImportModule(const char *name) {
    PyObject *py_name = 0;
    PyObject *py_module = 0;
    py_name = __Pyx_PyIdentifier_FromString(name);
    if (!py_name)
        goto bad;
    py_module = PyImport_Import(py_name);
    Py_DECREF(py_name);
    return py_module;
bad:
    Py_XDECREF(py_name);
    return 0;
}
#endif

#ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    size_t size, int strict)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    py_name = __Pyx_PyIdentifier_FromString(class_name);
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if (!strict && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility",
            module_name, class_name);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    else if ((size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s has the wrong size, try recompiling",
            module_name, class_name);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

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

static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char* c_str) {
    return __Pyx_PyUnicode_FromStringAndSize(c_str, (Py_ssize_t)strlen(c_str));
}
static CYTHON_INLINE char* __Pyx_PyObject_AsString(PyObject* o) {
    Py_ssize_t ignore;
    return __Pyx_PyObject_AsStringAndSize(o, &ignore);
}
static CYTHON_INLINE char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if CYTHON_COMPILING_IN_CPYTHON && (__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)) {
#if PY_VERSION_HEX < 0x03030000
        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
        if (__Pyx_PyUnicode_READY(o) == -1) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        if (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
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return __Pyx_NewRef(x);
  m = Py_TYPE(x)->tp_as_number;
#if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
#else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
#endif
  if (res) {
#if PY_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  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(x);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | digits[2]) << PyLong_SHIFT) | digits[1]) << PyLong_SHIFT) | 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 PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
