/* Generated by Cython 0.25 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "depends": [], 
        "include_dirs": [
            "yt/utilities/lib"
        ], 
        "libraries": [
            "m"
        ]
    }, 
    "module_name": "yt.geometry.grid_visitors"
}
END: Cython Metadata */

#define PY_SSIZE_T_CLEAN
#include "Python.h"
#ifndef Py_PYTHON_H
    #error Python headers needed to compile C extensions, please install development version of Python.
#elif PY_VERSION_HEX < 0x02060000 || (0x03000000 <= PY_VERSION_HEX && PY_VERSION_HEX < 0x03020000)
    #error Cython requires Python 2.6+ or Python 3.2+.
#else
#define CYTHON_ABI "0_25"
#include <stddef.h>
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#ifndef DL_EXPORT
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#ifndef PY_LONG_LONG
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#ifndef Py_HUGE_VAL
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#ifdef PYPY_VERSION
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  #define CYTHON_USE_TYPE_SLOTS 0
  #undef CYTHON_USE_ASYNC_SLOTS
  #define CYTHON_USE_ASYNC_SLOTS 0
  #undef CYTHON_USE_PYLIST_INTERNALS
  #define CYTHON_USE_PYLIST_INTERNALS 0
  #undef CYTHON_USE_UNICODE_INTERNALS
  #define CYTHON_USE_UNICODE_INTERNALS 0
  #undef CYTHON_USE_UNICODE_WRITER
  #define CYTHON_USE_UNICODE_WRITER 0
  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #undef CYTHON_AVOID_BORROWED_REFS
  #define CYTHON_AVOID_BORROWED_REFS 1
  #undef CYTHON_ASSUME_SAFE_MACROS
  #define CYTHON_ASSUME_SAFE_MACROS 0
  #undef CYTHON_UNPACK_METHODS
  #define CYTHON_UNPACK_METHODS 0
  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
#elif defined(PYSTON_VERSION)
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  #undef CYTHON_USE_PYLONG_INTERNALS
  #define CYTHON_USE_PYLONG_INTERNALS 0
  #ifndef CYTHON_AVOID_BORROWED_REFS
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  #ifndef CYTHON_UNPACK_METHODS
    #define CYTHON_UNPACK_METHODS 1
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  #undef CYTHON_FAST_THREAD_STATE
  #define CYTHON_FAST_THREAD_STATE 0
  #undef CYTHON_FAST_PYCALL
  #define CYTHON_FAST_PYCALL 0
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  #define CYTHON_COMPILING_IN_PYPY 0
  #define CYTHON_COMPILING_IN_PYSTON 0
  #define CYTHON_COMPILING_IN_CPYTHON 1
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#define CYTHON_FORMAT_SSIZE_T "z"
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#define __Pyx_PyFastCFunction_Check(func)\
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  #define __Pyx_PyUnicode_GET_LENGTH(u)   PyUnicode_GET_LENGTH(u)
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  #define __Pyx_PyUnicode_READY(op)       (0)
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  #define __Pyx_PyUnicode_WRITE(k, d, i, ch)  (((void)(k)), ((Py_UNICODE*)d)[i] = ch)
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  #define __Pyx_PyUnicode_Concat(a, b)      PyNumber_Add(a, b)
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  #define __Pyx_PyUnicode_Concat(a, b)      PyUnicode_Concat(a, b)
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#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Format)
  #define PyObject_Format(obj, fmt)  PyObject_CallMethod(obj, "__format__", "O", fmt)
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#if CYTHON_COMPILING_IN_PYPY && !defined(PyObject_Malloc)
  #define PyObject_Malloc(s)   PyMem_Malloc(s)
  #define PyObject_Free(p)     PyMem_Free(p)
  #define PyObject_Realloc(p)  PyMem_Realloc(p)
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#if CYTHON_COMPILING_IN_PYSTON
  #define __Pyx_PyCode_HasFreeVars(co)  PyCode_HasFreeVars(co)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno) PyFrame_SetLineNumber(frame, lineno)
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  #define __Pyx_PyCode_HasFreeVars(co)  (PyCode_GetNumFree(co) > 0)
  #define __Pyx_PyFrame_SetLineNumber(frame, lineno)  (frame)->f_lineno = (lineno)
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#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
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#define __Pyx_TypeCheck(obj, type) PyObject_TypeCheck(obj, (PyTypeObject *)type)
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  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
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#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
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#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
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#if PY_VERSION_HEX < 0x030200A4
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#if PY_MAJOR_VERSION >= 3
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#define __Pyx_void_to_None(void_result) ((void)(void_result), Py_INCREF(Py_None), Py_None)

#ifndef CYTHON_INLINE
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    #define CYTHON_INLINE __inline
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    #define CYTHON_INLINE inline
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    #define CYTHON_INLINE
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#if defined(WIN32) || defined(MS_WINDOWS)
  #define _USE_MATH_DEFINES
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#include <math.h>
#ifdef NAN
#define __PYX_NAN() ((float) NAN)
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static CYTHON_INLINE float __PYX_NAN() {
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  return value;
}
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#if defined(__CYGWIN__) && defined(_LDBL_EQ_DBL)
#define __Pyx_truncl trunc
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#define __Pyx_truncl truncl
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#define __PYX_ERR(f_index, lineno, Ln_error) \
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#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_TrueDivide(x,y)
  #define __Pyx_PyNumber_InPlaceDivide(x,y)  PyNumber_InPlaceTrueDivide(x,y)
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  #define __Pyx_PyNumber_Divide(x,y)         PyNumber_Divide(x,y)
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#ifndef __PYX_EXTERN_C
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    #define __PYX_EXTERN_C extern
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#define __PYX_HAVE__yt__geometry__grid_visitors
#define __PYX_HAVE_API__yt__geometry__grid_visitors
#include <string.h>
#include <stdio.h>
#include <stdlib.h>
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#ifdef _OPENMP
#include <omp.h>
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#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__))
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#   define CYTHON_UNUSED
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#ifndef CYTHON_NCP_UNUSED
# if CYTHON_COMPILING_IN_CPYTHON
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typedef struct {PyObject **p; const char *s; const Py_ssize_t n; const char* encoding;
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#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)  (\
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#if defined (__cplusplus) && __cplusplus >= 201103L
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#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER) && defined (_M_X64)
    #define __Pyx_sst_abs(value) _abs64(value)
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
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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
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#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++) ;
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#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_IntOrLong(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_ASSUME_SAFE_MACROS
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
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#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
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#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
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#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
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#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
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static int __Pyx_sys_getdefaultencoding_not_ascii;
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#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
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/* Test for GCC > 2.95 */
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static const char *__pyx_f[] = {
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":725
 * # in Cython to enable them only on the right systems.
 * 
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 * ctypedef npy_int32      int32_t
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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
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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             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_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
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 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
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typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":732
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 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
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
 * ctypedef npy_uint8      uint8_t
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 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":735
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/* "../../../../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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 * ctypedef npy_float32    float32_t
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":749
 * # The int types are mapped a bit surprising --
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":750
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 * ctypedef npy_long       int_t
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":751
 * ctypedef npy_long       int_t
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 * ctypedef npy_ulong      uint_t
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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
 * ctypedef npy_longlong   longlong_t
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 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
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typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":754
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 * ctypedef npy_ulong      uint_t
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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
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
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typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":757
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":758
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
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
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
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/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":761
 * 
 * ctypedef npy_double     float_t
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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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/*--- Type declarations ---*/
struct __pyx_obj_2yt_9utilities_3lib_8bitarray_bitarray;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":764
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 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
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typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":765
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../usr/local/lib/python2.7/site-packages/Cython/Includes/numpy/__init__.pxd":766
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
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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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 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;
struct __pyx_t_2yt_8geometry_13grid_visitors_GridTreeNode;
struct __pyx_t_2yt_8geometry_13grid_visitors_GridTreeNodePadded;
struct __pyx_t_2yt_8geometry_13grid_visitors_GridVisitorData;

/* "yt/geometry/grid_visitors.pxd":19
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 * 
 * cdef struct GridTreeNode:             # <<<<<<<<<<<<<<
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 *     np.int32_t level
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struct __pyx_t_2yt_8geometry_13grid_visitors_GridTreeNode {
  __pyx_t_5numpy_int32_t num_children;
  __pyx_t_5numpy_int32_t level;
  __pyx_t_5numpy_int64_t index;
  __pyx_t_5numpy_float64_t left_edge[3];
  __pyx_t_5numpy_float64_t right_edge[3];
  struct __pyx_t_2yt_8geometry_13grid_visitors_GridTreeNode **children;
  __pyx_t_5numpy_int64_t start_index[3];
  __pyx_t_5numpy_int32_t dims[3];
  __pyx_t_5numpy_float64_t dds[3];
};

/* "yt/geometry/grid_visitors.pxd":30
 *     np.float64_t dds[3]
 * 
 * cdef struct GridTreeNodePadded:             # <<<<<<<<<<<<<<
 *     np.int32_t num_children
 *     np.int32_t level
 */
struct __pyx_t_2yt_8geometry_13grid_visitors_GridTreeNodePadded {
  __pyx_t_5numpy_int32_t num_children;
  __pyx_t_5numpy_int32_t level;
  __pyx_t_5numpy_int64_t index;
  __pyx_t_5numpy_float64_t left_edge_x;
  __pyx_t_5numpy_float64_t left_edge_y;
  __pyx_t_5numpy_float64_t left_edge_z;
  __pyx_t_5numpy_float64_t right_edge_x;
  __pyx_t_5numpy_float64_t right_edge_y;
  __pyx_t_5numpy_float64_t right_edge_z;
  __pyx_t_5numpy_int64_t children_pointers;
  __pyx_t_5numpy_int64_t start_index_x;
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  __pyx_t_5numpy_int64_t start_index_z;
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  __pyx_t_5numpy_float64_t dds_z;
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/* "yt/geometry/grid_visitors.pxd":51
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 * cdef struct GridVisitorData:             # <<<<<<<<<<<<<<
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 *     np.uint64_t index
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struct __pyx_t_2yt_8geometry_13grid_visitors_GridVisitorData {
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  __pyx_t_5numpy_uint64_t index;
  __pyx_t_5numpy_uint64_t global_index;
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  int ref_factor;
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/* "yt/geometry/grid_visitors.pxd":67
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typedef void __pyx_t_2yt_8geometry_13grid_visitors_grid_visitor_function(struct __pyx_t_2yt_8geometry_13grid_visitors_GridVisitorData *, __pyx_t_5numpy_uint8_t);

/* "yt/utilities/lib/bitarray.pxd":30
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 * cdef class bitarray:             # <<<<<<<<<<<<<<
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 *     cdef np.uint64_t size
 */
struct __pyx_obj_2yt_9utilities_3lib_8bitarray_bitarray {
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  struct __pyx_vtabstruct_2yt_9utilities_3lib_8bitarray_bitarray *__pyx_vtab;
  __pyx_t_5numpy_uint8_t *buf;
  __pyx_t_5numpy_uint64_t size;
  __pyx_t_5numpy_uint64_t buf_size;
  PyObject *ibuf;
};



struct __pyx_vtabstruct_2yt_9utilities_3lib_8bitarray_bitarray {
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};
static struct __pyx_vtabstruct_2yt_9utilities_3lib_8bitarray_bitarray *__pyx_vtabptr_2yt_9utilities_3lib_8bitarray_bitarray;

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/* Module declarations from 'yt.geometry.grid_visitors' */
static void __pyx_f_2yt_8geometry_13grid_visitors_free_tuples(struct __pyx_t_2yt_8geometry_13grid_visitors_GridVisitorData *); /*proto*/
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static const char __pyx_k_range[] = "range";
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static const char __pyx_k_Format_string_allocated_too_shor[] = "Format string allocated too short, see comment in numpy.pxd";
static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
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static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
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static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
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_tuple_;
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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;

/* "yt/geometry/grid_visitors.pyx":23
 * from yt.utilities.lib.bitarray cimport ba_set_value, ba_get_value
 * 
 * cdef void free_tuples(GridVisitorData *data) nogil:             # <<<<<<<<<<<<<<
 *     # This wipes out the tuples, which is necessary since they are
 *     # heap-allocated
 */

static void __pyx_f_2yt_8geometry_13grid_visitors_free_tuples(struct __pyx_t_2yt_8geometry_13grid_visitors_GridVisitorData *__pyx_v_data) {
  int __pyx_v_i;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;

  /* "yt/geometry/grid_visitors.pyx":27
 *     # heap-allocated
 *     cdef int i
 *     if data.child_tuples == NULL: return             # <<<<<<<<<<<<<<
 *     for i in range(data.n_tuples):
 *         free(data.child_tuples[i])
 */
  __pyx_t_1 = ((__pyx_v_data->child_tuples == NULL) != 0);
  if (__pyx_t_1) {
    goto __pyx_L0;
  }

  /* "yt/geometry/grid_visitors.pyx":28
 *     cdef int i
 *     if data.child_tuples == NULL: return
 *     for i in range(data.n_tuples):             # <<<<<<<<<<<<<<
 *         free(data.child_tuples[i])
 *     free(data.child_tuples)
 */
  __pyx_t_2 = __pyx_v_data->n_tuples;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "yt/geometry/grid_visitors.pyx":29
 *     if data.child_tuples == NULL: return
 *     for i in range(data.n_tuples):
 *         free(data.child_tuples[i])             # <<<<<<<<<<<<<<
 *     free(data.child_tuples)
 *     data.child_tuples = NULL
 */
    free((__pyx_v_data->child_tuples[__pyx_v_i]));
  }

  /* "yt/geometry/grid_visitors.pyx":30
 *     for i in range(data.n_tuples):
 *         free(data.child_tuples[i])
 *     free(data.child_tuples)             # <<<<<<<<<<<<<<
 *     data.child_tuples = NULL
 *     data.n_tuples = 0
 */
  free(__pyx_v_data->child_tuples);

  /* "yt/geometry/grid_visitors.pyx":31
 *         free(data.child_tuples[i])
 *     free(data.child_tuples)
 *     data.child_tuples = NULL             # <<<<<<<<<<<<<<
 *     data.n_tuples = 0
 * 
 */
  __pyx_v_data->child_tuples = NULL;

  /* "yt/geometry/grid_visitors.pyx":32
 *     free(data.child_tuples)
 *     data.child_tuples = NULL
 *     data.n_tuples = 0             # <<<<<<<<<<<<<<
 * 
 * @cython.boundscheck(False)
 */
  __pyx_v_data->n_tuples = 0;

  /* "yt/geometry/grid_visitors.pyx":23
 * from yt.utilities.lib.bitarray cimport ba_set_value, ba_get_value
 * 
 * cdef void free_tuples(GridVisitorData *data) nogil:             # <<<<<<<<<<<<<<
 *     # This wipes out the tuples, which is necessary since they are
 *     # heap-allocated
 */

  /* function exit code */
  __pyx_L0:;
}

/* "yt/geometry/grid_visitors.pyx":37
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void setup_tuples(GridVisitorData *data) nogil:             # <<<<<<<<<<<<<<
 *     # This sets up child-mask tuples.  Rather than a single mask that covers
 *     # everything, we instead allocate pairs of integers that are start/stop
 */

static void __pyx_f_2yt_8geometry_13grid_visitors_setup_tuples(struct __pyx_t_2yt_8geometry_13grid_visitors_GridVisitorData *__pyx_v_data) {
  int __pyx_v_i;
  int __pyx_v_j;
  __pyx_t_5numpy_int64_t __pyx_v_si;
  __pyx_t_5numpy_int64_t __pyx_v_ei;
  struct __pyx_t_2yt_8geometry_13grid_visitors_GridTreeNode *__pyx_v_g;
  struct __pyx_t_2yt_8geometry_13grid_visitors_GridTreeNode *__pyx_v_c;
  struct __pyx_t_2yt_8geometry_13grid_visitors_GridTreeNode *__pyx_t_1;
  __pyx_t_5numpy_int32_t __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;

  /* "yt/geometry/grid_visitors.pyx":47
 *     cdef GridTreeNode *g
 *     cdef GridTreeNode *c
 *     free_tuples(data)             # <<<<<<<<<<<<<<
 *     g = data.grid
 *     data.child_tuples = <int**> malloc(sizeof(int*) * g.num_children)
 */
  __pyx_f_2yt_8geometry_13grid_visitors_free_tuples(__pyx_v_data);

  /* "yt/geometry/grid_visitors.pyx":48
 *     cdef GridTreeNode *c
 *     free_tuples(data)
 *     g = data.grid             # <<<<<<<<<<<<<<
 *     data.child_tuples = <int**> malloc(sizeof(int*) * g.num_children)
 *     for i in range(g.num_children):
 */
  __pyx_t_1 = __pyx_v_data->grid;
  __pyx_v_g = __pyx_t_1;

  /* "yt/geometry/grid_visitors.pyx":49
 *     free_tuples(data)
 *     g = data.grid
 *     data.child_tuples = <int**> malloc(sizeof(int*) * g.num_children)             # <<<<<<<<<<<<<<
 *     for i in range(g.num_children):
 *         c = g.children[i]
 */
  __pyx_v_data->child_tuples = ((int **)malloc(((sizeof(int *)) * __pyx_v_g->num_children)));

  /* "yt/geometry/grid_visitors.pyx":50
 *     g = data.grid
 *     data.child_tuples = <int**> malloc(sizeof(int*) * g.num_children)
 *     for i in range(g.num_children):             # <<<<<<<<<<<<<<
 *         c = g.children[i]
 *         data.child_tuples[i] = <int *>malloc(sizeof(int) * 6)
 */
  __pyx_t_2 = __pyx_v_g->num_children;
  for (__pyx_t_3 = 0; __pyx_t_3 < __pyx_t_2; __pyx_t_3+=1) {
    __pyx_v_i = __pyx_t_3;

    /* "yt/geometry/grid_visitors.pyx":51
 *     data.child_tuples = <int**> malloc(sizeof(int*) * g.num_children)
 *     for i in range(g.num_children):
 *         c = g.children[i]             # <<<<<<<<<<<<<<
 *         data.child_tuples[i] = <int *>malloc(sizeof(int) * 6)
 *         # Now we fill them in
 */
    __pyx_v_c = (__pyx_v_g->children[__pyx_v_i]);

    /* "yt/geometry/grid_visitors.pyx":52
 *     for i in range(g.num_children):
 *         c = g.children[i]
 *         data.child_tuples[i] = <int *>malloc(sizeof(int) * 6)             # <<<<<<<<<<<<<<
 *         # Now we fill them in
 *         for j in range(3):
 */
    (__pyx_v_data->child_tuples[__pyx_v_i]) = ((int *)malloc(((sizeof(int)) * 6)));

    /* "yt/geometry/grid_visitors.pyx":54
 *         data.child_tuples[i] = <int *>malloc(sizeof(int) * 6)
 *         # Now we fill them in
 *         for j in range(3):             # <<<<<<<<<<<<<<
 *             si = (c.start_index[j] / data.ref_factor) - g.start_index[j]
 *             ei = si + c.dims[j]/data.ref_factor - 1
 */
    for (__pyx_t_4 = 0; __pyx_t_4 < 3; __pyx_t_4+=1) {
      __pyx_v_j = __pyx_t_4;

      /* "yt/geometry/grid_visitors.pyx":55
 *         # Now we fill them in
 *         for j in range(3):
 *             si = (c.start_index[j] / data.ref_factor) - g.start_index[j]             # <<<<<<<<<<<<<<
 *             ei = si + c.dims[j]/data.ref_factor - 1
 *             data.child_tuples[i][j*2+0] = iclip(si, 0, g.dims[j] - 1)
 */
      __pyx_v_si = (((__pyx_v_c->start_index[__pyx_v_j]) / __pyx_v_data->ref_factor) - (__pyx_v_g->start_index[__pyx_v_j]));

      /* "yt/geometry/grid_visitors.pyx":56
 *         for j in range(3):
 *             si = (c.start_index[j] / data.ref_factor) - g.start_index[j]
 *             ei = si + c.dims[j]/data.ref_factor - 1             # <<<<<<<<<<<<<<
 *             data.child_tuples[i][j*2+0] = iclip(si, 0, g.dims[j] - 1)
 *             data.child_tuples[i][j*2+1] = iclip(ei, 0, g.dims[j] - 1)
 */
      __pyx_v_ei = ((__pyx_v_si + ((__pyx_v_c->dims[__pyx_v_j]) / __pyx_v_data->ref_factor)) - 1);

      /* "yt/geometry/grid_visitors.pyx":57
 *             si = (c.start_index[j] / data.ref_factor) - g.start_index[j]
 *             ei = si + c.dims[j]/data.ref_factor - 1
 *             data.child_tuples[i][j*2+0] = iclip(si, 0, g.dims[j] - 1)             # <<<<<<<<<<<<<<
 *             data.child_tuples[i][j*2+1] = iclip(ei, 0, g.dims[j] - 1)
 *     data.n_tuples = g.num_children
 */
      ((__pyx_v_data->child_tuples[__pyx_v_i])[((__pyx_v_j * 2) + 0)]) = __pyx_f_2yt_9utilities_3lib_8fp_utils_iclip(__pyx_v_si, 0, ((__pyx_v_g->dims[__pyx_v_j]) - 1));

      /* "yt/geometry/grid_visitors.pyx":58
 *             ei = si + c.dims[j]/data.ref_factor - 1
 *             data.child_tuples[i][j*2+0] = iclip(si, 0, g.dims[j] - 1)
 *             data.child_tuples[i][j*2+1] = iclip(ei, 0, g.dims[j] - 1)             # <<<<<<<<<<<<<<
 *     data.n_tuples = g.num_children
 * 
 */
      ((__pyx_v_data->child_tuples[__pyx_v_i])[((__pyx_v_j * 2) + 1)]) = __pyx_f_2yt_9utilities_3lib_8fp_utils_iclip(__pyx_v_ei, 0, ((__pyx_v_g->dims[__pyx_v_j]) - 1));
    }
  }

  /* "yt/geometry/grid_visitors.pyx":59
 *             data.child_tuples[i][j*2+0] = iclip(si, 0, g.dims[j] - 1)
 *             data.child_tuples[i][j*2+1] = iclip(ei, 0, g.dims[j] - 1)
 *     data.n_tuples = g.num_children             # <<<<<<<<<<<<<<
 * 
 * @cython.boundscheck(False)
 */
  __pyx_t_2 = __pyx_v_g->num_children;
  __pyx_v_data->n_tuples = __pyx_t_2;

  /* "yt/geometry/grid_visitors.pyx":37
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void setup_tuples(GridVisitorData *data) nogil:             # <<<<<<<<<<<<<<
 *     # This sets up child-mask tuples.  Rather than a single mask that covers
 *     # everything, we instead allocate pairs of integers that are start/stop
 */

  /* function exit code */
}

/* "yt/geometry/grid_visitors.pyx":64
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef np.uint8_t check_child_masked(GridVisitorData *data) nogil:             # <<<<<<<<<<<<<<
 *     # This simply checks if we're inside any of the tuples.  Probably not the
 *     # most efficient way, but the GVD* passed in has a position affiliated with
 */

static __pyx_t_5numpy_uint8_t __pyx_f_2yt_8geometry_13grid_visitors_check_child_masked(struct __pyx_t_2yt_8geometry_13grid_visitors_GridVisitorData *__pyx_v_data) {
  int __pyx_v_i;
  int __pyx_v_j;
  int __pyx_v_k;
  int *__pyx_v_tup;
  __pyx_t_5numpy_uint8_t __pyx_r;
  int __pyx_t_1;
  int __pyx_t_2;
  int __pyx_t_3;
  int __pyx_t_4;
  int __pyx_t_5;

  /* "yt/geometry/grid_visitors.pyx":70
 *     cdef int i, j, k
 *     cdef int *tup
 *     for i in range(data.n_tuples):             # <<<<<<<<<<<<<<
 *         # k is if we're inside a given child tuple.  We check each one
 *         # individually, and invalidate if we're outside.
 */
  __pyx_t_1 = __pyx_v_data->n_tuples;
  for (__pyx_t_2 = 0; __pyx_t_2 < __pyx_t_1; __pyx_t_2+=1) {
    __pyx_v_i = __pyx_t_2;

    /* "yt/geometry/grid_visitors.pyx":73
 *         # k is if we're inside a given child tuple.  We check each one
 *         # individually, and invalidate if we're outside.
 *         k = 1             # <<<<<<<<<<<<<<
 *         tup = data.child_tuples[i]
 *         for j in range(3):
 */
    __pyx_v_k = 1;

    /* "yt/geometry/grid_visitors.pyx":74
 *         # individually, and invalidate if we're outside.
 *         k = 1
 *         tup = data.child_tuples[i]             # <<<<<<<<<<<<<<
 *         for j in range(3):
 *             # Check if pos is outside in any of the three dimensions
 */
    __pyx_v_tup = (__pyx_v_data->child_tuples[__pyx_v_i]);

    /* "yt/geometry/grid_visitors.pyx":75
 *         k = 1
 *         tup = data.child_tuples[i]
 *         for j in range(3):             # <<<<<<<<<<<<<<
 *             # Check if pos is outside in any of the three dimensions
 *             if data.pos[j] < tup[j*2+0] or data.pos[j] > tup[j*2+1]:
 */
    for (__pyx_t_3 = 0; __pyx_t_3 < 3; __pyx_t_3+=1) {
      __pyx_v_j = __pyx_t_3;

      /* "yt/geometry/grid_visitors.pyx":77
 *         for j in range(3):
 *             # Check if pos is outside in any of the three dimensions
 *             if data.pos[j] < tup[j*2+0] or data.pos[j] > tup[j*2+1]:             # <<<<<<<<<<<<<<
 *                 k = 0
 *                 break
 */
      __pyx_t_5 = (((__pyx_v_data->pos[__pyx_v_j]) < (__pyx_v_tup[((__pyx_v_j * 2) + 0)])) != 0);
      if (!__pyx_t_5) {
      } else {
        __pyx_t_4 = __pyx_t_5;
        goto __pyx_L8_bool_binop_done;
      }
      __pyx_t_5 = (((__pyx_v_data->pos[__pyx_v_j]) > (__pyx_v_tup[((__pyx_v_j * 2) + 1)])) != 0);
      __pyx_t_4 = __pyx_t_5;
      __pyx_L8_bool_binop_done:;
      if (__pyx_t_4) {

        /* "yt/geometry/grid_visitors.pyx":78
 *             # Check if pos is outside in any of the three dimensions
 *             if data.pos[j] < tup[j*2+0] or data.pos[j] > tup[j*2+1]:
 *                 k = 0             # <<<<<<<<<<<<<<
 *                 break
 *         if k == 1: return 1 # Return 1 for child masked
 */
        __pyx_v_k = 0;

        /* "yt/geometry/grid_visitors.pyx":79
 *             if data.pos[j] < tup[j*2+0] or data.pos[j] > tup[j*2+1]:
 *                 k = 0
 *                 break             # <<<<<<<<<<<<<<
 *         if k == 1: return 1 # Return 1 for child masked
 *     return 0 # Only return 0 if it doesn't match any of the children
 */
        goto __pyx_L6_break;

        /* "yt/geometry/grid_visitors.pyx":77
 *         for j in range(3):
 *             # Check if pos is outside in any of the three dimensions
 *             if data.pos[j] < tup[j*2+0] or data.pos[j] > tup[j*2+1]:             # <<<<<<<<<<<<<<
 *                 k = 0
 *                 break
 */
      }
    }
    __pyx_L6_break:;

    /* "yt/geometry/grid_visitors.pyx":80
 *                 k = 0
 *                 break
 *         if k == 1: return 1 # Return 1 for child masked             # <<<<<<<<<<<<<<
 *     return 0 # Only return 0 if it doesn't match any of the children
 * 
 */
    __pyx_t_4 = ((__pyx_v_k == 1) != 0);
    if (__pyx_t_4) {
      __pyx_r = 1;
      goto __pyx_L0;
    }
  }

  /* "yt/geometry/grid_visitors.pyx":81
 *                 break
 *         if k == 1: return 1 # Return 1 for child masked
 *     return 0 # Only return 0 if it doesn't match any of the children             # <<<<<<<<<<<<<<
 * 
 * @cython.boundscheck(False)
 */
  __pyx_r = 0;
  goto __pyx_L0;

  /* "yt/geometry/grid_visitors.pyx":64
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef np.uint8_t check_child_masked(GridVisitorData *data) nogil:             # <<<<<<<<<<<<<<
 *     # This simply checks if we're inside any of the tuples.  Probably not the
 *     # most efficient way, but the GVD* passed in has a position affiliated with
 */

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

/* "yt/geometry/grid_visitors.pyx":86
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void count_cells(GridVisitorData *data, np.uint8_t selected) nogil:             # <<<<<<<<<<<<<<
 *     # Simply increment for each one, if we've selected it.
 *     if selected == 0: return
 */

static void __pyx_f_2yt_8geometry_13grid_visitors_count_cells(struct __pyx_t_2yt_8geometry_13grid_visitors_GridVisitorData *__pyx_v_data, __pyx_t_5numpy_uint8_t __pyx_v_selected) {
  __pyx_t_5numpy_uint64_t *__pyx_v_count;
  int __pyx_t_1;
  long __pyx_t_2;

  /* "yt/geometry/grid_visitors.pyx":88
 * cdef void count_cells(GridVisitorData *data, np.uint8_t selected) nogil:
 *     # Simply increment for each one, if we've selected it.
 *     if selected == 0: return             # <<<<<<<<<<<<<<
 *     cdef np.uint64_t *count = <np.uint64_t*> data.array
 *     count[0] += 1
 */
  __pyx_t_1 = ((__pyx_v_selected == 0) != 0);
  if (__pyx_t_1) {
    goto __pyx_L0;
  }

  /* "yt/geometry/grid_visitors.pyx":89
 *     # Simply increment for each one, if we've selected it.
 *     if selected == 0: return
 *     cdef np.uint64_t *count = <np.uint64_t*> data.array             # <<<<<<<<<<<<<<
 *     count[0] += 1
 * 
 */
  __pyx_v_count = ((__pyx_t_5numpy_uint64_t *)__pyx_v_data->array);

  /* "yt/geometry/grid_visitors.pyx":90
 *     if selected == 0: return
 *     cdef np.uint64_t *count = <np.uint64_t*> data.array
 *     count[0] += 1             # <<<<<<<<<<<<<<
 * 
 * @cython.boundscheck(False)
 */
  __pyx_t_2 = 0;
  (__pyx_v_count[__pyx_t_2]) = ((__pyx_v_count[__pyx_t_2]) + 1);

  /* "yt/geometry/grid_visitors.pyx":86
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void count_cells(GridVisitorData *data, np.uint8_t selected) nogil:             # <<<<<<<<<<<<<<
 *     # Simply increment for each one, if we've selected it.
 *     if selected == 0: return
 */

  /* function exit code */
  __pyx_L0:;
}

/* "yt/geometry/grid_visitors.pyx":95
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void mask_cells(GridVisitorData *data, np.uint8_t selected) nogil:             # <<<<<<<<<<<<<<
 *     # Set our bitarray -- we're creating a mask -- if we are selected.
 *     if selected == 0: return
 */

static void __pyx_f_2yt_8geometry_13grid_visitors_mask_cells(struct __pyx_t_2yt_8geometry_13grid_visitors_GridVisitorData *__pyx_v_data, __pyx_t_5numpy_uint8_t __pyx_v_selected) {
  __pyx_t_5numpy_uint8_t *__pyx_v_mask;
  int __pyx_t_1;

  /* "yt/geometry/grid_visitors.pyx":97
 * cdef void mask_cells(GridVisitorData *data, np.uint8_t selected) nogil:
 *     # Set our bitarray -- we're creating a mask -- if we are selected.
 *     if selected == 0: return             # <<<<<<<<<<<<<<
 *     cdef np.uint8_t *mask = <np.uint8_t*> data.array
 *     ba_set_value(mask, data.global_index, 1)
 */
  __pyx_t_1 = ((__pyx_v_selected == 0) != 0);
  if (__pyx_t_1) {
    goto __pyx_L0;
  }

  /* "yt/geometry/grid_visitors.pyx":98
 *     # Set our bitarray -- we're creating a mask -- if we are selected.
 *     if selected == 0: return
 *     cdef np.uint8_t *mask = <np.uint8_t*> data.array             # <<<<<<<<<<<<<<
 *     ba_set_value(mask, data.global_index, 1)
 *     # No need to increment anything.
 */
  __pyx_v_mask = ((__pyx_t_5numpy_uint8_t *)__pyx_v_data->array);

  /* "yt/geometry/grid_visitors.pyx":99
 *     if selected == 0: return
 *     cdef np.uint8_t *mask = <np.uint8_t*> data.array
 *     ba_set_value(mask, data.global_index, 1)             # <<<<<<<<<<<<<<
 *     # No need to increment anything.
 * 
 */
  __pyx_f_2yt_9utilities_3lib_8bitarray_ba_set_value(__pyx_v_mask, __pyx_v_data->global_index, 1);

  /* "yt/geometry/grid_visitors.pyx":95
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void mask_cells(GridVisitorData *data, np.uint8_t selected) nogil:             # <<<<<<<<<<<<<<
 *     # Set our bitarray -- we're creating a mask -- if we are selected.
 *     if selected == 0: return
 */

  /* function exit code */
  __pyx_L0:;
}

/* "yt/geometry/grid_visitors.pyx":105
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void icoords_cells(GridVisitorData *data, np.uint8_t selected) nogil:             # <<<<<<<<<<<<<<
 *     # Nice and easy icoord setter.
 *     if selected == 0: return
 */

static void __pyx_f_2yt_8geometry_13grid_visitors_icoords_cells(struct __pyx_t_2yt_8geometry_13grid_visitors_GridVisitorData *__pyx_v_data, __pyx_t_5numpy_uint8_t __pyx_v_selected) {
  int __pyx_v_i;
  __pyx_t_5numpy_int64_t *__pyx_v_icoords;
  int __pyx_t_1;
  int __pyx_t_2;

  /* "yt/geometry/grid_visitors.pyx":107
 * cdef void icoords_cells(GridVisitorData *data, np.uint8_t selected) nogil:
 *     # Nice and easy icoord setter.
 *     if selected == 0: return             # <<<<<<<<<<<<<<
 *     cdef int i
 *     cdef np.int64_t *icoords = <np.int64_t*> data.array
 */
  __pyx_t_1 = ((__pyx_v_selected == 0) != 0);
  if (__pyx_t_1) {
    goto __pyx_L0;
  }

  /* "yt/geometry/grid_visitors.pyx":109
 *     if selected == 0: return
 *     cdef int i
 *     cdef np.int64_t *icoords = <np.int64_t*> data.array             # <<<<<<<<<<<<<<
 *     for i in range(3):
 *         icoords[data.index * 3 + i] = data.pos[i] + data.grid.start_index[i]
 */
  __pyx_v_icoords = ((__pyx_t_5numpy_int64_t *)__pyx_v_data->array);

  /* "yt/geometry/grid_visitors.pyx":110
 *     cdef int i
 *     cdef np.int64_t *icoords = <np.int64_t*> data.array
 *     for i in range(3):             # <<<<<<<<<<<<<<
 *         icoords[data.index * 3 + i] = data.pos[i] + data.grid.start_index[i]
 *     data.index += 1
 */
  for (__pyx_t_2 = 0; __pyx_t_2 < 3; __pyx_t_2+=1) {
    __pyx_v_i = __pyx_t_2;

    /* "yt/geometry/grid_visitors.pyx":111
 *     cdef np.int64_t *icoords = <np.int64_t*> data.array
 *     for i in range(3):
 *         icoords[data.index * 3 + i] = data.pos[i] + data.grid.start_index[i]             # <<<<<<<<<<<<<<
 *     data.index += 1
 * 
 */
    (__pyx_v_icoords[((__pyx_v_data->index * 3) + __pyx_v_i)]) = ((__pyx_v_data->pos[__pyx_v_i]) + (__pyx_v_data->grid->start_index[__pyx_v_i]));
  }

  /* "yt/geometry/grid_visitors.pyx":112
 *     for i in range(3):
 *         icoords[data.index * 3 + i] = data.pos[i] + data.grid.start_index[i]
 *     data.index += 1             # <<<<<<<<<<<<<<
 * 
 * @cython.boundscheck(False)
 */
  __pyx_v_data->index = (__pyx_v_data->index + 1);

  /* "yt/geometry/grid_visitors.pyx":105
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void icoords_cells(GridVisitorData *data, np.uint8_t selected) nogil:             # <<<<<<<<<<<<<<
 *     # Nice and easy icoord setter.
 *     if selected == 0: return
 */

  /* function exit code */
  __pyx_L0:;
}

/* "yt/geometry/grid_visitors.pyx":117
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void ires_cells(GridVisitorData *data, np.uint8_t selected) nogil:             # <<<<<<<<<<<<<<
 *     # Fill with the level value.
 *     if selected == 0: return
 */

static void __pyx_f_2yt_8geometry_13grid_visitors_ires_cells(struct __pyx_t_2yt_8geometry_13grid_visitors_GridVisitorData *__pyx_v_data, __pyx_t_5numpy_uint8_t __pyx_v_selected) {
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 * cdef void ires_cells(GridVisitorData *data, np.uint8_t selected) nogil:
 *     # Fill with the level value.
 *     if selected == 0: return             # <<<<<<<<<<<<<<
 *     cdef np.int64_t *ires = <np.int64_t*> data.array
 *     ires[data.index] = data.grid.level
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 *     # Fill with the level value.
 *     if selected == 0: return
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 */
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  /* "yt/geometry/grid_visitors.pyx":121
 *     if selected == 0: return
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 *     data.index += 1
 * 
 */
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 *     cdef np.int64_t *ires = <np.int64_t*> data.array
 *     ires[data.index] = data.grid.level
 *     data.index += 1             # <<<<<<<<<<<<<<
 * 
 * @cython.boundscheck(False)
 */
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 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void ires_cells(GridVisitorData *data, np.uint8_t selected) nogil:             # <<<<<<<<<<<<<<
 *     # Fill with the level value.
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 */

  /* function exit code */
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/* "yt/geometry/grid_visitors.pyx":127
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void fwidth_cells(GridVisitorData *data, np.uint8_t selected) nogil:             # <<<<<<<<<<<<<<
 *     # Fill with our dds.
 *     if selected == 0: return
 */

static void __pyx_f_2yt_8geometry_13grid_visitors_fwidth_cells(struct __pyx_t_2yt_8geometry_13grid_visitors_GridVisitorData *__pyx_v_data, __pyx_t_5numpy_uint8_t __pyx_v_selected) {
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 * cdef void fwidth_cells(GridVisitorData *data, np.uint8_t selected) nogil:
 *     # Fill with our dds.
 *     if selected == 0: return             # <<<<<<<<<<<<<<
 *     cdef int i
 *     cdef np.float64_t *fwidth = <np.float64_t*> data.array
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 *     if selected == 0: return
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 *     for i in range(3):
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 */
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 *     cdef int i
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 *     cdef np.float64_t *fwidth = <np.float64_t*> data.array
 *     for i in range(3):
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 *     data.index += 1
 * 
 */
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 *     for i in range(3):
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 *     data.index += 1             # <<<<<<<<<<<<<<
 * 
 * @cython.boundscheck(False)
 */
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 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void fwidth_cells(GridVisitorData *data, np.uint8_t selected) nogil:             # <<<<<<<<<<<<<<
 *     # Fill with our dds.
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 */

  /* function exit code */
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/* "yt/geometry/grid_visitors.pyx":139
 * @cython.wraparound(False)
 * @cython.cdivision(True)
 * cdef void fcoords_cells(GridVisitorData *data, np.uint8_t selected) nogil:             # <<<<<<<<<<<<<<
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 *     if selected == 0: return
 */

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 * cdef void fcoords_cells(GridVisitorData *data, np.uint8_t selected) nogil:
 *     # Simple cell-centered position filling.
 *     if selected == 0: return             # <<<<<<<<<<<<<<
 *     cdef int i
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 *     if selected == 0: return
 *     cdef int i
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 *     for i in range(3):
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 */
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  /* "yt/geometry/grid_visitors.pyx":144
 *     cdef int i
 *     cdef np.float64_t *fcoords = <np.float64_t*> data.array
 *     for i in range(3):             # <<<<<<<<<<<<<<
 *         fcoords[data.index * 3 + i] = data.grid.left_edge[i] + \
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 */
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 *     cdef np.float64_t *fcoords = <np.float64_t*> data.array
 *     for i in range(3):
 *         fcoords[data.index * 3 + i] = data.grid.left_edge[i] + \             # <<<<<<<<<<<<<<
 *             (0.5 + data.pos[i])*data.grid.dds[i]
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 *         fcoords[data.index * 3 + i] = data.grid.left_edge[i] + \
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 *     data.index += 1             # <<<<<<<<<<<<<<
 */
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 * cdef void fcoords_cells(GridVisitorData *data, np.uint8_t selected) nogil:             # <<<<<<<<<<<<<<
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/* "yt/utilities/lib/bitarray.pxd":20
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 * 
 * cdef inline void ba_set_value(np.uint8_t *buf, np.uint64_t ind,             # <<<<<<<<<<<<<<
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/* "yt/utilities/lib/bitarray.pxd":25
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 * cdef inline np.uint8_t ba_get_value(np.uint8_t *buf, np.uint64_t ind) nogil:             # <<<<<<<<<<<<<<
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 * cdef inline np.uint8_t ba_get_value(np.uint8_t *buf, np.uint64_t ind) nogil:
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/* "yt/utilities/lib/fp_utils.pxd":19
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static CYTHON_INLINE int __pyx_f_2yt_9utilities_3lib_8fp_utils_imax(int __pyx_v_i0, int __pyx_v_i1) {
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  /* "yt/utilities/lib/fp_utils.pxd":20
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 * cdef inline int imax(int i0, int i1) nogil:
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 */
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  /* "yt/utilities/lib/fp_utils.pxd":21
 * cdef inline int imax(int i0, int i1) nogil:
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 *     return i1             # <<<<<<<<<<<<<<
 * 
 * cdef inline np.float64_t fmax(np.float64_t f0, np.float64_t f1) nogil:
 */
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  /* "yt/utilities/lib/fp_utils.pxd":19
 * cimport cython
 * 
 * cdef inline int imax(int i0, int i1) nogil:             # <<<<<<<<<<<<<<
 *     if i0 > i1: return i0
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 */

  /* function exit code */
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/* "yt/utilities/lib/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) {
  __pyx_t_5numpy_float64_t __pyx_r;
  int __pyx_t_1;

  /* "yt/utilities/lib/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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  /* "yt/utilities/lib/fp_utils.pxd":25
 * cdef inline np.float64_t fmax(np.float64_t f0, np.float64_t f1) nogil:
 *     if f0 > f1: return f0
 *     return f1             # <<<<<<<<<<<<<<
 * 
 * cdef inline int imin(int i0, int i1) nogil:
 */
  __pyx_r = __pyx_v_f1;
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  /* "yt/utilities/lib/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
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 */

  /* function exit code */
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/* "yt/utilities/lib/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;

  /* "yt/utilities/lib/fp_utils.pxd":28
 * 
 * cdef inline int imin(int i0, int i1) nogil:
 *     if i0 < i1: return i0             # <<<<<<<<<<<<<<
 *     return i1
 * 
 */
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  /* "yt/utilities/lib/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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  /* "yt/utilities/lib/fp_utils.pxd":27
 *     return f1
 * 
 * cdef inline int imin(int i0, int i1) nogil:             # <<<<<<<<<<<<<<
 *     if i0 < i1: return i0
 *     return i1
 */

  /* function exit code */
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/* "yt/utilities/lib/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) {
  __pyx_t_5numpy_float64_t __pyx_r;
  int __pyx_t_1;

  /* "yt/utilities/lib/fp_utils.pxd":32
 * 
 * cdef inline np.float64_t fmin(np.float64_t f0, np.float64_t f1) nogil:
 *     if f0 < f1: return f0             # <<<<<<<<<<<<<<
 *     return f1
 * 
 */
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  }

  /* "yt/utilities/lib/fp_utils.pxd":33
 * cdef inline np.float64_t fmin(np.float64_t f0, np.float64_t f1) nogil:
 *     if f0 < f1: return f0
 *     return f1             # <<<<<<<<<<<<<<
 * 
 * cdef inline np.float64_t fabs(np.float64_t f0) nogil:
 */
  __pyx_r = __pyx_v_f1;
  goto __pyx_L0;

  /* "yt/utilities/lib/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 */
  __pyx_L0:;
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}

/* "yt/utilities/lib/fp_utils.pxd":35
 *     return f1
 * 
 * cdef inline np.float64_t fabs(np.float64_t f0) nogil:             # <<<<<<<<<<<<<<
 *     if f0 < 0.0: return -f0
 *     return f0
 */

static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_2yt_9utilities_3lib_8fp_utils_fabs(__pyx_t_5numpy_float64_t __pyx_v_f0) {
  __pyx_t_5numpy_float64_t __pyx_r;
  int __pyx_t_1;

  /* "yt/utilities/lib/fp_utils.pxd":36
 * 
 * cdef inline np.float64_t fabs(np.float64_t f0) nogil:
 *     if f0 < 0.0: return -f0             # <<<<<<<<<<<<<<
 *     return f0
 * 
 */
  __pyx_t_1 = ((__pyx_v_f0 < 0.0) != 0);
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    __pyx_r = (-__pyx_v_f0);
    goto __pyx_L0;
  }

  /* "yt/utilities/lib/fp_utils.pxd":37
 * cdef inline np.float64_t fabs(np.float64_t f0) nogil:
 *     if f0 < 0.0: return -f0
 *     return f0             # <<<<<<<<<<<<<<
 * 
 * cdef inline int iclip(int i, int a, int b) nogil:
 */
  __pyx_r = __pyx_v_f0;
  goto __pyx_L0;

  /* "yt/utilities/lib/fp_utils.pxd":35
 *     return f1
 * 
 * cdef inline np.float64_t fabs(np.float64_t f0) nogil:             # <<<<<<<<<<<<<<
 *     if f0 < 0.0: return -f0
 *     return f0
 */

  /* function exit code */
  __pyx_L0:;
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}

/* "yt/utilities/lib/fp_utils.pxd":39
 *     return f0
 * 
 * cdef inline int iclip(int i, int a, int b) nogil:             # <<<<<<<<<<<<<<
 *     if i < a: return a
 *     if i > b: return b
 */

static CYTHON_INLINE int __pyx_f_2yt_9utilities_3lib_8fp_utils_iclip(int __pyx_v_i, int __pyx_v_a, int __pyx_v_b) {
  int __pyx_r;
  int __pyx_t_1;

  /* "yt/utilities/lib/fp_utils.pxd":40
 * 
 * cdef inline int iclip(int i, int a, int b) nogil:
 *     if i < a: return a             # <<<<<<<<<<<<<<
 *     if i > b: return b
 *     return i
 */
  __pyx_t_1 = ((__pyx_v_i < __pyx_v_a) != 0);
  if (__pyx_t_1) {
    __pyx_r = __pyx_v_a;
    goto __pyx_L0;
  }

  /* "yt/utilities/lib/fp_utils.pxd":41
 * cdef inline int iclip(int i, int a, int b) nogil:
 *     if i < a: return a
 *     if i > b: return b             # <<<<<<<<<<<<<<
 *     return i
 * 
 */
  __pyx_t_1 = ((__pyx_v_i > __pyx_v_b) != 0);
  if (__pyx_t_1) {
    __pyx_r = __pyx_v_b;
    goto __pyx_L0;
  }

  /* "yt/utilities/lib/fp_utils.pxd":42
 *     if i < a: return a
 *     if i > b: return b
 *     return i             # <<<<<<<<<<<<<<
 * 
 * cdef inline int i64clip(np.int64_t i, np.int64_t a, np.int64_t b) nogil:
 */
  __pyx_r = __pyx_v_i;
  goto __pyx_L0;

  /* "yt/utilities/lib/fp_utils.pxd":39
 *     return f0
 * 
 * cdef inline int iclip(int i, int a, int b) nogil:             # <<<<<<<<<<<<<<
 *     if i < a: return a
 *     if i > b: return b
 */

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

/* "yt/utilities/lib/fp_utils.pxd":44
 *     return i
 * 
 * cdef inline int i64clip(np.int64_t i, np.int64_t a, np.int64_t b) nogil:             # <<<<<<<<<<<<<<
 *     if i < a: return a
 *     if i > b: return b
 */

static CYTHON_INLINE int __pyx_f_2yt_9utilities_3lib_8fp_utils_i64clip(__pyx_t_5numpy_int64_t __pyx_v_i, __pyx_t_5numpy_int64_t __pyx_v_a, __pyx_t_5numpy_int64_t __pyx_v_b) {
  int __pyx_r;
  int __pyx_t_1;

  /* "yt/utilities/lib/fp_utils.pxd":45
 * 
 * cdef inline int i64clip(np.int64_t i, np.int64_t a, np.int64_t b) nogil:
 *     if i < a: return a             # <<<<<<<<<<<<<<
 *     if i > b: return b
 *     return i
 */
  __pyx_t_1 = ((__pyx_v_i < __pyx_v_a) != 0);
  if (__pyx_t_1) {
    __pyx_r = __pyx_v_a;
    goto __pyx_L0;
  }

  /* "yt/utilities/lib/fp_utils.pxd":46
 * cdef inline int i64clip(np.int64_t i, np.int64_t a, np.int64_t b) nogil:
 *     if i < a: return a
 *     if i > b: return b             # <<<<<<<<<<<<<<
 *     return i
 * 
 */
  __pyx_t_1 = ((__pyx_v_i > __pyx_v_b) != 0);
  if (__pyx_t_1) {
    __pyx_r = __pyx_v_b;
    goto __pyx_L0;
  }

  /* "yt/utilities/lib/fp_utils.pxd":47
 *     if i < a: return a
 *     if i > b: return b
 *     return i             # <<<<<<<<<<<<<<
 * 
 * cdef inline np.float64_t fclip(np.float64_t f,
 */
  __pyx_r = __pyx_v_i;
  goto __pyx_L0;

  /* "yt/utilities/lib/fp_utils.pxd":44
 *     return i
 * 
 * cdef inline int i64clip(np.int64_t i, np.int64_t a, np.int64_t b) nogil:             # <<<<<<<<<<<<<<
 *     if i < a: return a
 *     if i > b: return b
 */

  /* function exit code */
  __pyx_L0:;
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}

/* "yt/utilities/lib/fp_utils.pxd":49
 *     return i
 * 
 * cdef inline np.float64_t fclip(np.float64_t f,             # <<<<<<<<<<<<<<
 *                       np.float64_t a, np.float64_t b) nogil:
 *     return fmin(fmax(f, a), b)
 */

static CYTHON_INLINE __pyx_t_5numpy_float64_t __pyx_f_2yt_9utilities_3lib_8fp_utils_fclip(__pyx_t_5numpy_float64_t __pyx_v_f, __pyx_t_5numpy_float64_t __pyx_v_a, __pyx_t_5numpy_float64_t __pyx_v_b) {
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  /* "yt/utilities/lib/fp_utils.pxd":51
 * cdef inline np.float64_t fclip(np.float64_t f,
 *                       np.float64_t a, np.float64_t b) nogil:
 *     return fmin(fmax(f, a), b)             # <<<<<<<<<<<<<<
 * 
 * cdef inline np.int64_t i64max(np.int64_t i0, np.int64_t i1) nogil:
 */
  __pyx_r = __pyx_f_2yt_9utilities_3lib_8fp_utils_fmin(__pyx_f_2yt_9utilities_3lib_8fp_utils_fmax(__pyx_v_f, __pyx_v_a), __pyx_v_b);
  goto __pyx_L0;

  /* "yt/utilities/lib/fp_utils.pxd":49
 *     return i
 * 
 * cdef inline np.float64_t fclip(np.float64_t f,             # <<<<<<<<<<<<<<
 *                       np.float64_t a, np.float64_t b) nogil:
 *     return fmin(fmax(f, a), b)
 */

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

/* "yt/utilities/lib/fp_utils.pxd":53
 *     return fmin(fmax(f, a), b)
 * 
 * cdef inline np.int64_t i64max(np.int64_t i0, np.int64_t i1) nogil:             # <<<<<<<<<<<<<<
 *     if i0 > i1: return i0
 *     return i1
 */

static CYTHON_INLINE __pyx_t_5numpy_int64_t __pyx_f_2yt_9utilities_3lib_8fp_utils_i64max(__pyx_t_5numpy_int64_t __pyx_v_i0, __pyx_t_5numpy_int64_t __pyx_v_i1) {
  __pyx_t_5numpy_int64_t __pyx_r;
  int __pyx_t_1;

  /* "yt/utilities/lib/fp_utils.pxd":54
 * 
 * cdef inline np.int64_t i64max(np.int64_t i0, np.int64_t i1) nogil:
 *     if i0 > i1: return i0             # <<<<<<<<<<<<<<
 *     return i1
 * 
 */
  __pyx_t_1 = ((__pyx_v_i0 > __pyx_v_i1) != 0);
  if (__pyx_t_1) {
    __pyx_r = __pyx_v_i0;
    goto __pyx_L0;
  }

  /* "yt/utilities/lib/fp_utils.pxd":55
 * cdef inline np.int64_t i64max(np.int64_t i0, np.int64_t i1) nogil:
 *     if i0 > i1: return i0
 *     return i1             # <<<<<<<<<<<<<<
 * 
 * cdef inline np.int64_t i64min(np.int64_t i0, np.int64_t i1) nogil:
 */
  __pyx_r = __pyx_v_i1;
  goto __pyx_L0;

  /* "yt/utilities/lib/fp_utils.pxd":53
 *     return fmin(fmax(f, a), b)
 * 
 * cdef inline np.int64_t i64max(np.int64_t i0, np.int64_t i1) nogil:             # <<<<<<<<<<<<<<
 *     if i0 > i1: return i0
 *     return i1
 */

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

/* "yt/utilities/lib/fp_utils.pxd":57
 *     return i1
 * 
 * cdef inline np.int64_t i64min(np.int64_t i0, np.int64_t i1) nogil:             # <<<<<<<<<<<<<<
 *     if i0 < i1: return i0
 *     return i1
 */

static CYTHON_INLINE __pyx_t_5numpy_int64_t __pyx_f_2yt_9utilities_3lib_8fp_utils_i64min(__pyx_t_5numpy_int64_t __pyx_v_i0, __pyx_t_5numpy_int64_t __pyx_v_i1) {
  __pyx_t_5numpy_int64_t __pyx_r;
  int __pyx_t_1;

  /* "yt/utilities/lib/fp_utils.pxd":58
 * 
 * cdef inline np.int64_t i64min(np.int64_t i0, np.int64_t i1) nogil:
 *     if i0 < i1: return i0             # <<<<<<<<<<<<<<
 *     return i1
 * 
 */
  __pyx_t_1 = ((__pyx_v_i0 < __pyx_v_i1) != 0);
  if (__pyx_t_1) {
    __pyx_r = __pyx_v_i0;
    goto __pyx_L0;
  }

  /* "yt/utilities/lib/fp_utils.pxd":59
 * cdef inline np.int64_t i64min(np.int64_t i0, np.int64_t i1) nogil:
 *     if i0 < i1: return i0
 *     return i1             # <<<<<<<<<<<<<<
 * 
 */
  __pyx_r = __pyx_v_i1;
  goto __pyx_L0;

  /* "yt/utilities/lib/fp_utils.pxd":57
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static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
    if (unlikely(!result)) {
        PyErr_Format(PyExc_NameError,
#if PY_MAJOR_VERSION >= 3
            "name '%U' is not defined", name);
#else
            "name '%.200s' is not defined", PyString_AS_STRING(name));
#endif
    }
    return result;
}

/* PyObjectCall */
#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

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

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

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

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

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

/* ExtTypeTest */
  static CYTHON_INLINE int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (likely(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;
}

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

/* PyErrExceptionMatches */
  #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {
    PyObject *exc_type = tstate->curexc_type;
    if (exc_type == err) return 1;
    if (unlikely(!exc_type)) return 0;
    return PyErr_GivenExceptionMatches(exc_type, err);
}
#endif

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

/* GetVTable */
    static void* __Pyx_GetVtable(PyObject *dict) {
    void* ptr;
    PyObject *ob = PyObject_GetItem(dict, __pyx_n_s_pyx_vtable);
    if (!ob)
        goto bad;
#if PY_VERSION_HEX >= 0x02070000
    ptr = PyCapsule_GetPointer(ob, 0);
#else
    ptr = PyCObject_AsVoidPtr(ob);
#endif
    if (!ptr && !PyErr_Occurred())
        PyErr_SetString(PyExc_RuntimeError, "invalid vtable found for imported type");
    Py_DECREF(ob);
    return ptr;
bad:
    Py_XDECREF(ob);
    return NULL;
}

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

/* AddTraceback */
    #include "compile.h"
#include "frameobject.h"
#include "traceback.h"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 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;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

/* CIntToPy */
    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);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(int) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(int) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(int),
                                     little, !is_unsigned);
    }
}

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

/* CIntToPy */
    static CYTHON_INLINE PyObject* __Pyx_PyInt_From_npy_int32(npy_int32 value) {
    const npy_int32 neg_one = (npy_int32) -1, const_zero = (npy_int32) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(npy_int32) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(npy_int32) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int32) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(npy_int32) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(npy_int32) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(npy_int32),
                                     little, !is_unsigned);
    }
}

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

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

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

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

/* CIntToPy */
    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);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(enum NPY_TYPES) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),
                                     little, !is_unsigned);
    }
}

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

/* CIntToPy */
    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);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(long) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {
            return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif
        }
    }
    {
        int one = 1; int little = (int)*(unsigned char *)&one;
        unsigned char *bytes = (unsigned char *)&value;
        return _PyLong_FromByteArray(bytes, sizeof(long),
                                     little, !is_unsigned);
    }
}

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

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

/* FunctionExport */
    static int __Pyx_ExportFunction(const char *name, void (*f)(void), const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    d = PyObject_GetAttrString(__pyx_m, (char *)"__pyx_capi__");
    if (!d) {
        PyErr_Clear();
        d = PyDict_New();
        if (!d)
            goto bad;
        Py_INCREF(d);
        if (PyModule_AddObject(__pyx_m, (char *)"__pyx_capi__", d) < 0)
            goto bad;
    }
    tmp.fp = f;
#if PY_VERSION_HEX >= 0x02070000
    cobj = PyCapsule_New(tmp.p, sig, 0);
#else
    cobj = PyCObject_FromVoidPtrAndDesc(tmp.p, (void *)sig, 0);
#endif
    if (!cobj)
        goto bad;
    if (PyDict_SetItemString(d, name, cobj) < 0)
        goto bad;
    Py_DECREF(cobj);
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(cobj);
    Py_XDECREF(d);
    return -1;
}

/* ModuleImport */
    #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

/* TypeImport */
    #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. Expected %zd, got %zd",
            module_name, class_name, basicsize, size);
        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. Expected %zd, got %zd",
            module_name, class_name, basicsize, size);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

/* InitStrings */
    static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        ++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_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  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);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = 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
#else
  res = PyNumber_Int(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) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
