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  #define __Pyx_PyString_Format(a, b)  PyUnicode_Format(a, b)
#else
  #define __Pyx_PyString_Format(a, b)  PyString_Format(a, b)
#endif
#if PY_MAJOR_VERSION < 3 && !defined(PyObject_ASCII)
  #define PyObject_ASCII(o)            PyObject_Repr(o)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBaseString_Type            PyUnicode_Type
  #define PyStringObject               PyUnicodeObject
  #define PyString_Type                PyUnicode_Type
  #define PyString_Check               PyUnicode_Check
  #define PyString_CheckExact          PyUnicode_CheckExact
  #define PyObject_Unicode             PyObject_Str
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyBaseString_Check(obj) PyUnicode_Check(obj)
  #define __Pyx_PyBaseString_CheckExact(obj) PyUnicode_CheckExact(obj)
#else
  #define __Pyx_PyBaseString_Check(obj) (PyString_Check(obj) || PyUnicode_Check(obj))
  #define __Pyx_PyBaseString_CheckExact(obj) (PyString_CheckExact(obj) || PyUnicode_CheckExact(obj))
#endif
#ifndef PySet_CheckExact
  #define PySet_CheckExact(obj)        (Py_TYPE(obj) == &PySet_Type)
#endif
#if CYTHON_ASSUME_SAFE_MACROS
  #define __Pyx_PySequence_SIZE(seq)  Py_SIZE(seq)
#else
  #define __Pyx_PySequence_SIZE(seq)  PySequence_Size(seq)
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyIntObject                  PyLongObject
  #define PyInt_Type                   PyLong_Type
  #define PyInt_Check(op)              PyLong_Check(op)
  #define PyInt_CheckExact(op)         PyLong_CheckExact(op)
  #define PyInt_FromString             PyLong_FromString
  #define PyInt_FromUnicode            PyLong_FromUnicode
  #define PyInt_FromLong               PyLong_FromLong
  #define PyInt_FromSize_t             PyLong_FromSize_t
  #define PyInt_FromSsize_t            PyLong_FromSsize_t
  #define PyInt_AsLong                 PyLong_AsLong
  #define PyInt_AS_LONG                PyLong_AS_LONG
  #define PyInt_AsSsize_t              PyLong_AsSsize_t
  #define PyInt_AsUnsignedLongMask     PyLong_AsUnsignedLongMask
  #define PyInt_AsUnsignedLongLongMask PyLong_AsUnsignedLongLongMask
  #define PyNumber_Int                 PyNumber_Long
#endif
#if PY_MAJOR_VERSION >= 3
  #define PyBoolObject                 PyLongObject
#endif
#if PY_MAJOR_VERSION >= 3 && CYTHON_COMPILING_IN_PYPY
  #ifndef PyUnicode_InternFromString
    #define PyUnicode_InternFromString(s) PyUnicode_FromString(s)
  #endif
#endif
#if PY_VERSION_HEX < 0x030200A4
  typedef long Py_hash_t;
  #define __Pyx_PyInt_FromHash_t PyInt_FromLong
  #define __Pyx_PyInt_AsHash_t   PyInt_AsLong
#else
  #define __Pyx_PyInt_FromHash_t PyInt_FromSsize_t
  #define __Pyx_PyInt_AsHash_t   PyInt_AsSsize_t
#endif
#if PY_MAJOR_VERSION >= 3
  #define __Pyx_PyMethod_New(func, self, klass) ((self) ? PyMethod_New(func, self) : (Py_INCREF(func), func))
#else
  #define __Pyx_PyMethod_New(func, self, klass) PyMethod_New(func, self, klass)
#endif
#if CYTHON_USE_ASYNC_SLOTS
  #if PY_VERSION_HEX >= 0x030500B1
    #define __Pyx_PyAsyncMethodsStruct PyAsyncMethods
    #define __Pyx_PyType_AsAsync(obj) (Py_TYPE(obj)->tp_as_async)
  #else
    #define __Pyx_PyType_AsAsync(obj) ((__Pyx_PyAsyncMethodsStruct*) (Py_TYPE(obj)->tp_reserved))
  #endif
#else
  #define __Pyx_PyType_AsAsync(obj) NULL
#endif
#ifndef __Pyx_PyAsyncMethodsStruct
    typedef struct {
        unaryfunc am_await;
        unaryfunc am_aiter;
        unaryfunc am_anext;
    } __Pyx_PyAsyncMethodsStruct;
#endif

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


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

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

#define __PYX_HAVE__freud__order
#define __PYX_HAVE_API__freud__order
/* Early includes */
#include "VectorMath.h"
#include "ios"
#include "new"
#include "stdexcept"
#include "typeinfo"
#include <memory>
#include <complex>
#include <vector>
#include <utility>
#include <map>
#include <string.h>
#include <string>
#include "Box.h"
#include "ParticleBuffer.h"
#include "Index1D.h"
#include "NeighborList.h"
#include "LinkCell.h"
#include "NearestNeighbors.h"
#include "BondOrder.h"
#include "LocalDescriptors.h"
#include "MatchEnv.h"
#include "Pairing2D.h"
#include "AngularSeparation.h"
#include "LocalBondProjection.h"
#include <stdio.h>
#include "numpy/arrayobject.h"
#include "numpy/ufuncobject.h"
#include "CubaticOrderParameter.h"
#include "NematicOrderParameter.h"
#include "HexOrderParameter.h"
#include "TransOrderParameter.h"
#include "LocalQl.h"
#include "LocalWl.h"
#include "SolLiq.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

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

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

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


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

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

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


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

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

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


/* "freud/_box.pxd":10
 * from libcpp.string cimport string
 * 
 * ctypedef unsigned int uint             # <<<<<<<<<<<<<<
 * 
 * cdef extern from "Box.h" namespace "freud::box":
 */
typedef unsigned int __pyx_t_5freud_4_box_uint;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":730
 * # in Cython to enable them only on the right systems.
 * 
 * ctypedef npy_int8       int8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 */
typedef npy_int8 __pyx_t_5numpy_int8_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":731
 * 
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t
 */
typedef npy_int16 __pyx_t_5numpy_int16_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":732
 * ctypedef npy_int8       int8_t
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_int64      int64_t
 * #ctypedef npy_int96      int96_t
 */
typedef npy_int32 __pyx_t_5numpy_int32_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":733
 * ctypedef npy_int16      int16_t
 * ctypedef npy_int32      int32_t
 * ctypedef npy_int64      int64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_int96      int96_t
 * #ctypedef npy_int128     int128_t
 */
typedef npy_int64 __pyx_t_5numpy_int64_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":737
 * #ctypedef npy_int128     int128_t
 * 
 * ctypedef npy_uint8      uint8_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 */
typedef npy_uint8 __pyx_t_5numpy_uint8_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":738
 * 
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t
 */
typedef npy_uint16 __pyx_t_5numpy_uint16_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":739
 * ctypedef npy_uint8      uint8_t
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uint64     uint64_t
 * #ctypedef npy_uint96     uint96_t
 */
typedef npy_uint32 __pyx_t_5numpy_uint32_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":740
 * ctypedef npy_uint16     uint16_t
 * ctypedef npy_uint32     uint32_t
 * ctypedef npy_uint64     uint64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_uint96     uint96_t
 * #ctypedef npy_uint128    uint128_t
 */
typedef npy_uint64 __pyx_t_5numpy_uint64_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":744
 * #ctypedef npy_uint128    uint128_t
 * 
 * ctypedef npy_float32    float32_t             # <<<<<<<<<<<<<<
 * ctypedef npy_float64    float64_t
 * #ctypedef npy_float80    float80_t
 */
typedef npy_float32 __pyx_t_5numpy_float32_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":745
 * 
 * ctypedef npy_float32    float32_t
 * ctypedef npy_float64    float64_t             # <<<<<<<<<<<<<<
 * #ctypedef npy_float80    float80_t
 * #ctypedef npy_float128   float128_t
 */
typedef npy_float64 __pyx_t_5numpy_float64_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":754
 * # The int types are mapped a bit surprising --
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t
 */
typedef npy_long __pyx_t_5numpy_int_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":755
 * # numpy.int corresponds to 'l' and numpy.long to 'q'
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longlong   longlong_t
 * 
 */
typedef npy_longlong __pyx_t_5numpy_long_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":756
 * ctypedef npy_long       int_t
 * ctypedef npy_longlong   long_t
 * ctypedef npy_longlong   longlong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_ulong      uint_t
 */
typedef npy_longlong __pyx_t_5numpy_longlong_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":758
 * ctypedef npy_longlong   longlong_t
 * 
 * ctypedef npy_ulong      uint_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t
 */
typedef npy_ulong __pyx_t_5numpy_uint_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":759
 * 
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t             # <<<<<<<<<<<<<<
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 */
typedef npy_ulonglong __pyx_t_5numpy_ulong_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":760
 * ctypedef npy_ulong      uint_t
 * ctypedef npy_ulonglong  ulong_t
 * ctypedef npy_ulonglong  ulonglong_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_intp       intp_t
 */
typedef npy_ulonglong __pyx_t_5numpy_ulonglong_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":762
 * ctypedef npy_ulonglong  ulonglong_t
 * 
 * ctypedef npy_intp       intp_t             # <<<<<<<<<<<<<<
 * ctypedef npy_uintp      uintp_t
 * 
 */
typedef npy_intp __pyx_t_5numpy_intp_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":763
 * 
 * ctypedef npy_intp       intp_t
 * ctypedef npy_uintp      uintp_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_double     float_t
 */
typedef npy_uintp __pyx_t_5numpy_uintp_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":765
 * ctypedef npy_uintp      uintp_t
 * 
 * ctypedef npy_double     float_t             # <<<<<<<<<<<<<<
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t
 */
typedef npy_double __pyx_t_5numpy_float_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":766
 * 
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t             # <<<<<<<<<<<<<<
 * ctypedef npy_longdouble longdouble_t
 * 
 */
typedef npy_double __pyx_t_5numpy_double_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":767
 * ctypedef npy_double     float_t
 * ctypedef npy_double     double_t
 * ctypedef npy_longdouble longdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cfloat      cfloat_t
 */
typedef npy_longdouble __pyx_t_5numpy_longdouble_t;
/* Declarations.proto */
#if CYTHON_CCOMPLEX
  #ifdef __cplusplus
    typedef ::std::complex< float > __pyx_t_float_complex;
  #else
    typedef float _Complex __pyx_t_float_complex;
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#else
    typedef struct { float real, imag; } __pyx_t_float_complex;
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static CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float, float);

/* Declarations.proto */
#if CYTHON_CCOMPLEX
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  #else
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static CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double, double);


/*--- Type declarations ---*/
struct __pyx_obj_5freud_8locality_NeighborList;
struct __pyx_obj_5freud_8locality_IteratorLinkCell;
struct __pyx_obj_5freud_8locality_LinkCell;
struct __pyx_obj_5freud_8locality_NearestNeighbors;
struct __pyx_obj_5freud_3box_Box;
struct __pyx_obj_5freud_3box_ParticleBuffer;
struct __pyx_obj_5freud_11environment_BondOrder;
struct __pyx_obj_5freud_11environment_LocalDescriptors;
struct __pyx_obj_5freud_11environment_MatchEnv;
struct __pyx_obj_5freud_11environment_Pairing2D;
struct __pyx_obj_5freud_11environment_AngularSeparation;
struct __pyx_obj_5freud_5order_CubaticOrderParameter;
struct __pyx_obj_5freud_5order_NematicOrderParameter;
struct __pyx_obj_5freud_5order_HexOrderParameter;
struct __pyx_obj_5freud_5order_TransOrderParameter;
struct __pyx_obj_5freud_5order_LocalQl;
struct __pyx_obj_5freud_5order_LocalQlNear;
struct __pyx_obj_5freud_5order_LocalWl;
struct __pyx_obj_5freud_5order_LocalWlNear;
struct __pyx_obj_5freud_5order_SolLiq;
struct __pyx_obj_5freud_5order_SolLiqNear;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":769
 * ctypedef npy_longdouble longdouble_t
 * 
 * ctypedef npy_cfloat      cfloat_t             # <<<<<<<<<<<<<<
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t
 */
typedef npy_cfloat __pyx_t_5numpy_cfloat_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":770
 * 
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t             # <<<<<<<<<<<<<<
 * ctypedef npy_clongdouble clongdouble_t
 * 
 */
typedef npy_cdouble __pyx_t_5numpy_cdouble_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":771
 * ctypedef npy_cfloat      cfloat_t
 * ctypedef npy_cdouble     cdouble_t
 * ctypedef npy_clongdouble clongdouble_t             # <<<<<<<<<<<<<<
 * 
 * ctypedef npy_cdouble     complex_t
 */
typedef npy_clongdouble __pyx_t_5numpy_clongdouble_t;

/* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":773
 * ctypedef npy_clongdouble clongdouble_t
 * 
 * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<
 * 
 * cdef inline object PyArray_MultiIterNew1(a):
 */
typedef npy_cdouble __pyx_t_5numpy_complex_t;

/* "freud/locality.pxd":6
 * cimport freud._locality
 * 
 * cdef class NeighborList:             # <<<<<<<<<<<<<<
 *     cdef freud._locality.NeighborList * thisptr
 *     cdef char _managed
 */
struct __pyx_obj_5freud_8locality_NeighborList {
  PyObject_HEAD
  struct __pyx_vtabstruct_5freud_8locality_NeighborList *__pyx_vtab;
  freud::locality::NeighborList *thisptr;
  char _managed;
  PyObject *base;
};


/* "freud/locality.pxd":15
 *     cdef void copy_c(self, NeighborList other)
 * 
 * cdef class IteratorLinkCell:             # <<<<<<<<<<<<<<
 *     cdef freud._locality.IteratorLinkCell * thisptr
 * 
 */
struct __pyx_obj_5freud_8locality_IteratorLinkCell {
  PyObject_HEAD
  struct __pyx_vtabstruct_5freud_8locality_IteratorLinkCell *__pyx_vtab;
  freud::locality::IteratorLinkCell *thisptr;
};


/* "freud/locality.pxd":20
 *     cdef void copy(self, const freud._locality.IteratorLinkCell & rhs)
 * 
 * cdef class LinkCell:             # <<<<<<<<<<<<<<
 *     cdef freud._locality.LinkCell * thisptr
 *     cdef NeighborList _nlist
 */
struct __pyx_obj_5freud_8locality_LinkCell {
  PyObject_HEAD
  freud::locality::LinkCell *thisptr;
  struct __pyx_obj_5freud_8locality_NeighborList *_nlist;
};


/* "freud/locality.pxd":24
 *     cdef NeighborList _nlist
 * 
 * cdef class NearestNeighbors:             # <<<<<<<<<<<<<<
 *     cdef freud._locality.NearestNeighbors * thisptr
 *     cdef NeighborList _nlist
 */
struct __pyx_obj_5freud_8locality_NearestNeighbors {
  PyObject_HEAD
  freud::locality::NearestNeighbors *thisptr;
  struct __pyx_obj_5freud_8locality_NeighborList *_nlist;
  PyObject *_cached_points;
  PyObject *_cached_ref_points;
  PyObject *_cached_box;
};


/* "freud/box.pxd":6
 * cimport freud._box
 * 
 * cdef class Box:             # <<<<<<<<<<<<<<
 *     cdef freud._box.Box * thisptr
 * 
 */
struct __pyx_obj_5freud_3box_Box {
  PyObject_HEAD
  freud::box::Box *thisptr;
};


/* "freud/box.pxd":11
 * cdef BoxFromCPP(const freud._box.Box & cppbox)
 * 
 * cdef class ParticleBuffer:             # <<<<<<<<<<<<<<
 *     cdef freud._box.ParticleBuffer * thisptr
 */
struct __pyx_obj_5freud_3box_ParticleBuffer {
  PyObject_HEAD
  freud::box::ParticleBuffer *thisptr;
};


/* "freud/environment.pxd":10
 * cimport numpy as np
 * 
 * cdef class BondOrder:             # <<<<<<<<<<<<<<
 *     cdef freud._environment.BondOrder * thisptr
 *     cdef num_neigh
 */
struct __pyx_obj_5freud_11environment_BondOrder {
  PyObject_HEAD
  freud::environment::BondOrder *thisptr;
  PyObject *num_neigh;
  PyObject *rmax;
};


/* "freud/environment.pxd":15
 *     cdef rmax
 * 
 * cdef class LocalDescriptors:             # <<<<<<<<<<<<<<
 *     cdef freud._environment.LocalDescriptors * thisptr
 *     cdef num_neigh
 */
struct __pyx_obj_5freud_11environment_LocalDescriptors {
  PyObject_HEAD
  freud::environment::LocalDescriptors *thisptr;
  PyObject *num_neigh;
  PyObject *rmax;
};


/* "freud/environment.pxd":20
 *     cdef rmax
 * 
 * cdef class MatchEnv:             # <<<<<<<<<<<<<<
 *     cdef freud._environment.MatchEnv * thisptr
 *     cdef rmax
 */
struct __pyx_obj_5freud_11environment_MatchEnv {
  PyObject_HEAD
  freud::environment::MatchEnv *thisptr;
  PyObject *rmax;
  PyObject *num_neigh;
  PyObject *m_box;
};


/* "freud/environment.pxd":26
 *     cdef m_box
 * 
 * cdef class Pairing2D:             # <<<<<<<<<<<<<<
 *     cdef freud._environment.Pairing2D * thisptr
 *     cdef rmax
 */
struct __pyx_obj_5freud_11environment_Pairing2D {
  PyObject_HEAD
  freud::environment::Pairing2D *thisptr;
  PyObject *rmax;
  PyObject *num_neigh;
};


/* "freud/environment.pxd":31
 *     cdef num_neigh
 * 
 * cdef class AngularSeparation:             # <<<<<<<<<<<<<<
 *     cdef freud._environment.AngularSeparation * thisptr
 *     cdef num_neigh
 */
struct __pyx_obj_5freud_11environment_AngularSeparation {
  PyObject_HEAD
  freud::environment::AngularSeparation *thisptr;
  PyObject *num_neigh;
  PyObject *rmax;
  PyObject *nlist_;
};


/* "freud/order.pyx":45
 * np.import_array()
 * 
 * cdef class CubaticOrderParameter:             # <<<<<<<<<<<<<<
 *     R"""Compute the cubatic order parameter [HajiAkbari2015]_ for a system of
 *     particles using simulated annealing instead of Newton-Raphson root finding.
 */
struct __pyx_obj_5freud_5order_CubaticOrderParameter {
  PyObject_HEAD
  freud::order::CubaticOrderParameter *thisptr;
};


/* "freud/order.pyx":298
 * 
 * 
 * cdef class NematicOrderParameter:             # <<<<<<<<<<<<<<
 *     R"""Compute the nematic order parameter for a system of particles.
 * 
 */
struct __pyx_obj_5freud_5order_NematicOrderParameter {
  PyObject_HEAD
  freud::order::NematicOrderParameter *thisptr;
};


/* "freud/order.pyx":417
 * 
 * 
 * cdef class HexOrderParameter:             # <<<<<<<<<<<<<<
 *     R"""Calculates the :math:`k`-atic order parameter for each particle in the
 *     system.
 */
struct __pyx_obj_5freud_5order_HexOrderParameter {
  PyObject_HEAD
  freud::order::HexOrderParameter *thisptr;
  PyObject *num_neigh;
  PyObject *rmax;
};


/* "freud/order.pyx":552
 * 
 * 
 * cdef class TransOrderParameter:             # <<<<<<<<<<<<<<
 *     R"""Compute the translational order parameter for each particle.
 * 
 */
struct __pyx_obj_5freud_5order_TransOrderParameter {
  PyObject_HEAD
  freud::order::TransOrderParameter *thisptr;
  PyObject *num_neigh;
  PyObject *rmax;
};


/* "freud/order.pyx":655
 * 
 * 
 * cdef class LocalQl:             # <<<<<<<<<<<<<<
 *     R"""Compute the local Steinhardt [Steinhardt1983]_ rotationally invariant
 *     :math:`Q_l` order parameter for a set of points.
 */
struct __pyx_obj_5freud_5order_LocalQl {
  PyObject_HEAD
  freud::order::LocalQl *qlptr;
  struct __pyx_obj_5freud_3box_Box *m_box;
  PyObject *rmax;
};


/* "freud/order.pyx":946
 * 
 * 
 * cdef class LocalQlNear(LocalQl):             # <<<<<<<<<<<<<<
 *     R"""A variant of the :class:`~LocalQl` class that performs its average
 *     over nearest neighbor particles as determined by an instance of
 */
struct __pyx_obj_5freud_5order_LocalQlNear {
  struct __pyx_obj_5freud_5order_LocalQl __pyx_base;
  PyObject *num_neigh;
};


/* "freud/order.pyx":1054
 * 
 * 
 * cdef class LocalWl(LocalQl):             # <<<<<<<<<<<<<<
 *     R"""Compute the local Steinhardt [Steinhardt1983]_ rotationally invariant
 *     :math:`W_l` order parameter for a set of points.
 */
struct __pyx_obj_5freud_5order_LocalWl {
  struct __pyx_obj_5freud_5order_LocalQl __pyx_base;
  freud::order::LocalWl *thisptr;
};


/* "freud/order.pyx":1227
 * 
 * 
 * cdef class LocalWlNear(LocalWl):             # <<<<<<<<<<<<<<
 *     R"""A variant of the :class:`~LocalWl` class that performs its average
 *     over nearest neighbor particles as determined by an instance of
 */
struct __pyx_obj_5freud_5order_LocalWlNear {
  struct __pyx_obj_5freud_5order_LocalWl __pyx_base;
  PyObject *num_neigh;
};


/* "freud/order.pyx":1331
 * 
 * 
 * cdef class SolLiq:             # <<<<<<<<<<<<<<
 *     R"""Uses dot products of :math:`Q_{lm}` between particles for clustering.
 * 
 */
struct __pyx_obj_5freud_5order_SolLiq {
  PyObject_HEAD
  freud::order::SolLiq *thisptr;
  struct __pyx_obj_5freud_3box_Box *m_box;
  PyObject *rmax;
};


/* "freud/order.pyx":1615
 * 
 * 
 * cdef class SolLiqNear(SolLiq):             # <<<<<<<<<<<<<<
 *     R"""A variant of the :class:`~SolLiq` class that performs its average over nearest neighbor particles as determined by an instance of :class:`freud.locality.NeighborList`. The number of included neighbors is determined by the kn parameter to the constructor.
 * 
 */
struct __pyx_obj_5freud_5order_SolLiqNear {
  struct __pyx_obj_5freud_5order_SolLiq __pyx_base;
  PyObject *num_neigh;
};



/* "freud/locality.pxd":6
 * cimport freud._locality
 * 
 * cdef class NeighborList:             # <<<<<<<<<<<<<<
 *     cdef freud._locality.NeighborList * thisptr
 *     cdef char _managed
 */

struct __pyx_vtabstruct_5freud_8locality_NeighborList {
  PyObject *(*refer_to)(struct __pyx_obj_5freud_8locality_NeighborList *, freud::locality::NeighborList *);
  freud::locality::NeighborList *(*get_ptr)(struct __pyx_obj_5freud_8locality_NeighborList *);
  void (*copy_c)(struct __pyx_obj_5freud_8locality_NeighborList *, struct __pyx_obj_5freud_8locality_NeighborList *);
};
static struct __pyx_vtabstruct_5freud_8locality_NeighborList *__pyx_vtabptr_5freud_8locality_NeighborList;


/* "freud/locality.pxd":15
 *     cdef void copy_c(self, NeighborList other)
 * 
 * cdef class IteratorLinkCell:             # <<<<<<<<<<<<<<
 *     cdef freud._locality.IteratorLinkCell * thisptr
 * 
 */

struct __pyx_vtabstruct_5freud_8locality_IteratorLinkCell {
  void (*copy)(struct __pyx_obj_5freud_8locality_IteratorLinkCell *, freud::locality::IteratorLinkCell const &);
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static struct __pyx_vtabstruct_5freud_8locality_IteratorLinkCell *__pyx_vtabptr_5freud_8locality_IteratorLinkCell;

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#define __Pyx_ErrFetchWithState(type, value, tb)    __Pyx_ErrFetchInState(PyThreadState_GET(), type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  __Pyx_ErrRestoreInState(__pyx_tstate, type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)    __Pyx_ErrFetchInState(__pyx_tstate, type, value, tb)
static CYTHON_INLINE void __Pyx_ErrRestoreInState(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb);
static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb);
#if CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_PyErr_SetNone(exc) (Py_INCREF(exc), __Pyx_ErrRestore((exc), NULL, NULL))
#else
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#endif
#else
#define __Pyx_PyErr_Clear() PyErr_Clear()
#define __Pyx_PyErr_SetNone(exc) PyErr_SetNone(exc)
#define __Pyx_ErrRestoreWithState(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchWithState(type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestoreInState(tstate, type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetchInState(tstate, type, value, tb)  PyErr_Fetch(type, value, tb)
#define __Pyx_ErrRestore(type, value, tb)  PyErr_Restore(type, value, tb)
#define __Pyx_ErrFetch(type, value, tb)  PyErr_Fetch(type, value, tb)
#endif

/* RaiseException.proto */
static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb, PyObject *cause);

/* GetModuleGlobalName.proto */
static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name);

/* PyCFunctionFastCall.proto */
#if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject *__Pyx_PyCFunction_FastCall(PyObject *func, PyObject **args, Py_ssize_t nargs);
#else
#define __Pyx_PyCFunction_FastCall(func, args, nargs)  (assert(0), NULL)
#endif

/* PyFunctionFastCall.proto */
#if CYTHON_FAST_PYCALL
#define __Pyx_PyFunction_FastCall(func, args, nargs)\
    __Pyx_PyFunction_FastCallDict((func), (args), (nargs), NULL)
#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, int nargs, PyObject *kwargs);
#else
#define __Pyx_PyFunction_FastCallDict(func, args, nargs, kwargs) _PyFunction_FastCallDict(func, args, nargs, kwargs)
#endif
#endif

/* PyObjectCallMethO.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallMethO(PyObject *func, PyObject *arg);
#endif

/* PyObjectCallOneArg.proto */
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallOneArg(PyObject *func, PyObject *arg);

/* PyObjectCallNoArg.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_CallNoArg(PyObject *func);
#else
#define __Pyx_PyObject_CallNoArg(func) __Pyx_PyObject_Call(func, __pyx_empty_tuple, NULL)
#endif

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

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

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

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

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

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

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

/* BufferFallbackError.proto */
static void __Pyx_RaiseBufferFallbackError(void);

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

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

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

/* PySequenceContains.proto */
static CYTHON_INLINE int __Pyx_PySequence_ContainsTF(PyObject* item, PyObject* seq, int eq) {
    int result = PySequence_Contains(seq, item);
    return unlikely(result < 0) ? result : (result == (eq == Py_EQ));
}

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

/* RaiseTooManyValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseTooManyValuesError(Py_ssize_t expected);

/* RaiseNeedMoreValuesToUnpack.proto */
static CYTHON_INLINE void __Pyx_RaiseNeedMoreValuesError(Py_ssize_t index);

/* RaiseNoneIterError.proto */
static CYTHON_INLINE void __Pyx_RaiseNoneNotIterableError(void);

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

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

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

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

/* GetVTable.proto */
static void* __Pyx_GetVtable(PyObject *dict);

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

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

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

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

/* CalculateMetaclass.proto */
static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases);

/* SetNameInClass.proto */
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? _PyDict_SetItem_KnownHash(ns, name, value, ((PyASCIIObject *) name)->hash) : PyObject_SetItem(ns, name, value))
#elif CYTHON_COMPILING_IN_CPYTHON
#define __Pyx_SetNameInClass(ns, name, value)\
    (likely(PyDict_CheckExact(ns)) ? PyDict_SetItem(ns, name, value) : PyObject_SetItem(ns, name, value))
#else
#define __Pyx_SetNameInClass(ns, name, value)  PyObject_SetItem(ns, name, value)
#endif

/* Py3ClassCreate.proto */
static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name, PyObject *qualname,
                                           PyObject *mkw, PyObject *modname, PyObject *doc);
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases, PyObject *dict,
                                      PyObject *mkw, int calculate_metaclass, int allow_py2_metaclass);

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

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

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

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

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

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

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


/* Print.proto */
static int __Pyx_Print(PyObject*, PyObject *, int);
#if CYTHON_COMPILING_IN_PYPY || PY_MAJOR_VERSION >= 3
static PyObject* __pyx_print = 0;
static PyObject* __pyx_print_kwargs = 0;
#endif

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

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

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

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

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_enum__NPY_TYPES(enum NPY_TYPES value);

/* PrintOne.proto */
static int __Pyx_PrintOne(PyObject* stream, PyObject *o);

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

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

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

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

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

/* PyIdentifierFromString.proto */
#if !defined(__Pyx_PyIdentifier_FromString)
#if PY_MAJOR_VERSION < 3
  #define __Pyx_PyIdentifier_FromString(s) PyString_FromString(s)
#else
  #define __Pyx_PyIdentifier_FromString(s) PyUnicode_FromString(s)
#endif
#endif

/* ModuleImport.proto */
static PyObject *__Pyx_ImportModule(const char *name);

/* TypeImport.proto */
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name, size_t size, int strict);

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

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


/* Module declarations from 'freud.util._VectorMath' */

/* Module declarations from 'libcpp' */

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

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

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

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

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

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

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

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

/* Module declarations from 'freud._box' */

/* Module declarations from 'freud.util._Index1D' */

/* Module declarations from 'freud._locality' */

/* Module declarations from 'freud._order' */

/* Module declarations from 'freud.locality' */
static PyTypeObject *__pyx_ptype_5freud_8locality_NeighborList = 0;
static PyTypeObject *__pyx_ptype_5freud_8locality_IteratorLinkCell = 0;
static PyTypeObject *__pyx_ptype_5freud_8locality_LinkCell = 0;
static PyTypeObject *__pyx_ptype_5freud_8locality_NearestNeighbors = 0;

/* Module declarations from 'freud.box' */
static PyTypeObject *__pyx_ptype_5freud_3box_Box = 0;
static PyTypeObject *__pyx_ptype_5freud_3box_ParticleBuffer = 0;
static PyObject *(*__pyx_f_5freud_3box_BoxFromCPP)(freud::box::Box const &); /*proto*/

/* Module declarations from 'freud' */

/* Module declarations from 'freud._environment' */

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

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

/* Module declarations from '__builtin__' */

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

/* Module declarations from 'cpython' */

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

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

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

/* Module declarations from 'numpy' */

/* Module declarations from 'numpy' */
static PyTypeObject *__pyx_ptype_5numpy_dtype = 0;
static PyTypeObject *__pyx_ptype_5numpy_flatiter = 0;
static PyTypeObject *__pyx_ptype_5numpy_broadcast = 0;
static PyTypeObject *__pyx_ptype_5numpy_ndarray = 0;
static PyTypeObject *__pyx_ptype_5numpy_ufunc = 0;
static CYTHON_INLINE char *__pyx_f_5numpy__util_dtypestring(PyArray_Descr *, char *, char *, int *); /*proto*/
static CYTHON_INLINE int __pyx_f_5numpy_import_array(void); /*proto*/

/* Module declarations from 'freud.environment' */
static PyTypeObject *__pyx_ptype_5freud_11environment_BondOrder = 0;
static PyTypeObject *__pyx_ptype_5freud_11environment_LocalDescriptors = 0;
static PyTypeObject *__pyx_ptype_5freud_11environment_MatchEnv = 0;
static PyTypeObject *__pyx_ptype_5freud_11environment_Pairing2D = 0;
static PyTypeObject *__pyx_ptype_5freud_11environment_AngularSeparation = 0;

/* Module declarations from 'freud.order' */
static PyTypeObject *__pyx_ptype_5freud_5order_CubaticOrderParameter = 0;
static PyTypeObject *__pyx_ptype_5freud_5order_NematicOrderParameter = 0;
static PyTypeObject *__pyx_ptype_5freud_5order_HexOrderParameter = 0;
static PyTypeObject *__pyx_ptype_5freud_5order_TransOrderParameter = 0;
static PyTypeObject *__pyx_ptype_5freud_5order_LocalQl = 0;
static PyTypeObject *__pyx_ptype_5freud_5order_LocalQlNear = 0;
static PyTypeObject *__pyx_ptype_5freud_5order_LocalWl = 0;
static PyTypeObject *__pyx_ptype_5freud_5order_LocalWlNear = 0;
static PyTypeObject *__pyx_ptype_5freud_5order_SolLiq = 0;
static PyTypeObject *__pyx_ptype_5freud_5order_SolLiqNear = 0;
static __Pyx_TypeInfo __Pyx_TypeInfo_float = { "float", NULL, sizeof(float), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_float32_t = { "float32_t", NULL, sizeof(__pyx_t_5numpy_float32_t), { 0 }, 0, 'R', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo___pyx_t_float_complex = { "float complex", NULL, sizeof(__pyx_t_float_complex), { 0 }, 0, 'C', 0, 0 };
static __Pyx_TypeInfo __Pyx_TypeInfo_nn___pyx_t_5numpy_uint32_t = { "uint32_t", NULL, sizeof(__pyx_t_5numpy_uint32_t), { 0 }, 0, IS_UNSIGNED(__pyx_t_5numpy_uint32_t) ? 'U' : 'I', IS_UNSIGNED(__pyx_t_5numpy_uint32_t), 0 };
#define __Pyx_MODULE_NAME "freud.order"
extern int __pyx_module_is_main_freud__order;
int __pyx_module_is_main_freud__order = 0;

/* Implementation of 'freud.order' */
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_TypeError;
static PyObject *__pyx_builtin_super;
static PyObject *__pyx_builtin_AttributeError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_RuntimeError;
static PyObject *__pyx_builtin_ImportError;
static const char __pyx_k_K[] = "K";
static const char __pyx_k_b[] = "b";
static const char __pyx_k_k[] = "k";
static const char __pyx_k_l[] = "l";
static const char __pyx_k_n[] = "n";
static const char __pyx_k_u[] = "u";
static const char __pyx_k_Ql[] = "Ql";
static const char __pyx_k_Wl[] = "Wl";
static const char __pyx_k_kn[] = "kn";
static const char __pyx_k_nP[] = "nP";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_box[] = "box";
static const char __pyx_k_d_r[] = "d_r";
static const char __pyx_k_dir[] = "__dir__";
static const char __pyx_k_doc[] = "__doc__";
static const char __pyx_k_end[] = "end";
static const char __pyx_k_eye[] = "eye";
static const char __pyx_k_psi[] = "psi";
static const char __pyx_k_file[] = "file";
static const char __pyx_k_getK[] = "getK";
static const char __pyx_k_init[] = "__init__";
static const char __pyx_k_lmax[] = "lmax";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_name[] = "__name__";
static const char __pyx_k_rmax[] = "rmax";
static const char __pyx_k_rmin[] = "rmin";
static const char __pyx_k_seed[] = "seed";
static const char __pyx_k_self[] = "self";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_time[] = "time";
static const char __pyx_k_warn[] = "warn";
static const char __pyx_k_Ql_mi[] = "Ql_mi";
static const char __pyx_k_array[] = "array";
static const char __pyx_k_class[] = "__class__";
static const char __pyx_k_dtype[] = "dtype";
static const char __pyx_k_freud[] = "freud";
static const char __pyx_k_getDr[] = "getDr";
static const char __pyx_k_getNP[] = "getNP";
static const char __pyx_k_getQl[] = "getQl";
static const char __pyx_k_getWl[] = "getWl";
static const char __pyx_k_nbins[] = "nbins";
static const char __pyx_k_nlist[] = "nlist";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_scale[] = "scale";
static const char __pyx_k_shape[] = "shape";
static const char __pyx_k_super[] = "super";
static const char __pyx_k_ave_Ql[] = "ave_Ql";
static const char __pyx_k_ave_Wl[] = "ave_Wl";
static const char __pyx_k_common[] = "common";
static const char __pyx_k_einsum[] = "einsum";
static const char __pyx_k_getBox[] = "getBox";
static const char __pyx_k_getPsi[] = "getPsi";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_module[] = "__module__";
static const char __pyx_k_points[] = "points";
static const char __pyx_k_reduce[] = "__reduce__";
static const char __pyx_k_result[] = "result";
static const char __pyx_k_setBox[] = "setBox";
static const char __pyx_k_compute[] = "compute";
static const char __pyx_k_float32[] = "float32";
static const char __pyx_k_getQlmi[] = "getQlmi";
static const char __pyx_k_nlist_2[] = "nlist_";
static const char __pyx_k_norm_Ql[] = "norm_Ql";
static const char __pyx_k_norm_Wl[] = "norm_Wl";
static const char __pyx_k_prepare[] = "__prepare__";
static const char __pyx_k_t_final[] = "t_final";
static const char __pyx_k_MatchEnv[] = "MatchEnv";
static const char __pyx_k_clusters[] = "clusters";
static const char __pyx_k_delattrs[] = "delattrs";
static const char __pyx_k_director[] = "director";
static const char __pyx_k_getAveQl[] = "getAveQl";
static const char __pyx_k_getAveWl[] = "getAveWl";
static const char __pyx_k_getstate[] = "__getstate__";
static const char __pyx_k_l_points[] = "l_points";
static const char __pyx_k_locality[] = "locality";
static const char __pyx_k_n_bins_p[] = "n_bins_p";
static const char __pyx_k_n_bins_t[] = "n_bins_t";
static const char __pyx_k_qualname[] = "__qualname__";
static const char __pyx_k_setstate[] = "__setstate__";
static const char __pyx_k_warnings[] = "warnings";
static const char __pyx_k_BondOrder[] = "BondOrder";
static const char __pyx_k_Pairing2D[] = "Pairing2D";
static const char __pyx_k_Ql_dot_ij[] = "Ql_dot_ij";
static const char __pyx_k_TypeError[] = "TypeError";
static const char __pyx_k_getQlNorm[] = "getQlNorm";
static const char __pyx_k_getWlNorm[] = "getWlNorm";
static const char __pyx_k_get_scale[] = "get_scale";
static const char __pyx_k_metaclass[] = "__metaclass__";
static const char __pyx_k_pyx_state[] = "__pyx_state";
static const char __pyx_k_reduce_ex[] = "__reduce_ex__";
static const char __pyx_k_t_initial[] = "t_initial";
static const char __pyx_k_Qthreshold[] = "Qthreshold";
static const char __pyx_k_Sthreshold[] = "Sthreshold";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_array_name[] = "array_name";
static const char __pyx_k_compDotTol[] = "compDotTol";
static const char __pyx_k_computeAve[] = "computeAve";
static const char __pyx_k_contiguous[] = "contiguous";
static const char __pyx_k_ij_kl_ijkl[] = "ij,kl->ijkl";
static const char __pyx_k_ik_jl_ijkl[] = "ik,jl->ijkl";
static const char __pyx_k_il_jk_ijkl[] = "il,jk->ijkl";
static const char __pyx_k_negative_m[] = "negative_m";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_ave_norm_Ql[] = "ave_norm_Ql";
static const char __pyx_k_ave_norm_Wl[] = "ave_norm_Wl";
static const char __pyx_k_computeNorm[] = "computeNorm";
static const char __pyx_k_convert_box[] = "convert_box";
static const char __pyx_k_freud_order[] = "freud.order";
static const char __pyx_k_getClusters[] = "getClusters";
static const char __pyx_k_getQldot_ij[] = "getQldot_ij";
static const char __pyx_k_get_t_final[] = "get_t_final";
static const char __pyx_k_orientation[] = "orientation";
static const char __pyx_k_rcutCluster[] = "rcutCluster";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_SolLiq_getNP[] = "SolLiq.getNP";
static const char __pyx_k_freud_common[] = "freud.common";
static const char __pyx_k_freud_errors[] = "freud.errors";
static const char __pyx_k_getQlAveNorm[] = "getQlAveNorm";
static const char __pyx_k_getWlAveNorm[] = "getWlAveNorm";
static const char __pyx_k_get_director[] = "get_director";
static const char __pyx_k_getattribute[] = "__getattribute__";
static const char __pyx_k_n_replicates[] = "n_replicates";
static const char __pyx_k_orientations[] = "orientations";
static const char __pyx_k_stringsource[] = "stringsource";
static const char __pyx_k_LocalQl_getNP[] = "LocalQl.getNP";
static const char __pyx_k_LocalQl_getQl[] = "LocalQl.getQl";
static const char __pyx_k_LocalWl___dir[] = "LocalWl.__dir__";
static const char __pyx_k_LocalWl_getWl[] = "LocalWl.getWl";
static const char __pyx_k_SolLiq_getBox[] = "SolLiq.getBox";
static const char __pyx_k_SolLiq_setBox[] = "SolLiq.setBox";
static const char __pyx_k_cluster_sizes[] = "cluster_sizes";
static const char __pyx_k_convert_array[] = "convert_array";
static const char __pyx_k_gen_r4_tensor[] = "gen_r4_tensor";
static const char __pyx_k_get_t_initial[] = "get_t_initial";
static const char __pyx_k_global_tensor[] = "global_tensor";
static const char __pyx_k_num_neighbors[] = "num_neighbors";
static const char __pyx_k_num_particles[] = "num_particles";
static const char __pyx_k_reduce_cython[] = "__reduce_cython__";
static const char __pyx_k_AttributeError[] = "AttributeError";
static const char __pyx_k_LocalQl_getBox[] = "LocalQl.getBox";
static const char __pyx_k_LocalQl_setBox[] = "LocalQl.setBox";
static const char __pyx_k_SolLiq_compute[] = "SolLiq.compute";
static const char __pyx_k_SolLiq_getQlmi[] = "SolLiq.getQlmi";
static const char __pyx_k_computeAveNorm[] = "computeAveNorm";
static const char __pyx_k_cubatic_tensor[] = "cubatic_tensor";
static const char __pyx_k_freud_locality[] = "freud.locality";
static const char __pyx_k_l_orientations[] = "l_orientations";
static const char __pyx_k_nematic_tensor[] = "nematic_tensor";
static const char __pyx_k_LocalQl_compute[] = "LocalQl.compute";
static const char __pyx_k_MatchEnv___init[] = "MatchEnv.__init__";
static const char __pyx_k_defaulted_nlist[] = "defaulted_nlist";
static const char __pyx_k_freud_order_pyx[] = "freud/order.pyx";
static const char __pyx_k_getClusterSizes[] = "getClusterSizes";
static const char __pyx_k_get_orientation[] = "get_orientation";
static const char __pyx_k_get_particle_op[] = "get_particle_op";
static const char __pyx_k_num_connections[] = "num_connections";
static const char __pyx_k_particle_tensor[] = "particle_tensor";
static const char __pyx_k_setstate_cython[] = "__setstate_cython__";
static const char __pyx_k_BondOrder___init[] = "BondOrder.__init__";
static const char __pyx_k_LocalDescriptors[] = "LocalDescriptors";
static const char __pyx_k_LocalQl_getAveQl[] = "LocalQl.getAveQl";
static const char __pyx_k_LocalWl_getAveWl[] = "LocalWl.getAveWl";
static const char __pyx_k_Pairing2D___init[] = "Pairing2D.__init__";
static const char __pyx_k_AngularSeparation[] = "AngularSeparation";
static const char __pyx_k_LocalQl_getQlNorm[] = "LocalQl.getQlNorm";
static const char __pyx_k_LocalWl_getWlNorm[] = "LocalWl.getWlNorm";
static const char __pyx_k_get_gen_r4_tensor[] = "get_gen_r4_tensor";
static const char __pyx_k_get_global_tensor[] = "get_global_tensor";
static const char __pyx_k_LocalQl_computeAve[] = "LocalQl.computeAve";
static const char __pyx_k_SolLiqNear_compute[] = "SolLiqNear.compute";
static const char __pyx_k_SolLiq_getClusters[] = "SolLiq.getClusters";
static const char __pyx_k_SolLiq_getQldot_ij[] = "SolLiq.getQldot_ij";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_get_cubatic_tensor[] = "get_cubatic_tensor";
static const char __pyx_k_get_nematic_tensor[] = "get_nematic_tensor";
static const char __pyx_k_make_default_nlist[] = "make_default_nlist";
static const char __pyx_k_LocalQl_computeNorm[] = "LocalQl.computeNorm";
static const char __pyx_k_computeSolLiqNoNorm[] = "computeSolLiqNoNorm";
static const char __pyx_k_get_particle_tensor[] = "get_particle_tensor";
static const char __pyx_k_setClusteringRadius[] = "setClusteringRadius";
static const char __pyx_k_LocalQl_getQlAveNorm[] = "LocalQl.getQlAveNorm";
static const char __pyx_k_LocalWl_getWlAveNorm[] = "LocalWl.getWlAveNorm";
static const char __pyx_k_computeSolLiqVariant[] = "computeSolLiqVariant";
static const char __pyx_k_largest_cluster_size[] = "largest_cluster_size";
static const char __pyx_k_getLargestClusterSize[] = "getLargestClusterSize";
static const char __pyx_k_make_default_nlist_nn[] = "make_default_nlist_nn";
static const char __pyx_k_HexOrderParameter_getK[] = "HexOrderParameter.getK";
static const char __pyx_k_LocalQlNear_computeAve[] = "LocalQlNear.computeAve";
static const char __pyx_k_LocalQl_computeAveNorm[] = "LocalQl.computeAveNorm";
static const char __pyx_k_LocalWlNear_computeAve[] = "LocalWlNear.computeAve";
static const char __pyx_k_SolLiq___reduce_cython[] = "SolLiq.__reduce_cython__";
static const char __pyx_k_SolLiq_getClusterSizes[] = "SolLiq.getClusterSizes";
static const char __pyx_k_getNumberOfConnections[] = "getNumberOfConnections";
static const char __pyx_k_FreudDeprecationWarning[] = "FreudDeprecationWarning";
static const char __pyx_k_HexOrderParameter_getNP[] = "HexOrderParameter.getNP";
static const char __pyx_k_LocalDescriptors___init[] = "LocalDescriptors.__init__";
static const char __pyx_k_LocalQlNear_computeNorm[] = "LocalQlNear.computeNorm";
static const char __pyx_k_LocalQl___reduce_cython[] = "LocalQl.__reduce_cython__";
static const char __pyx_k_LocalWlNear_computeNorm[] = "LocalWlNear.computeNorm";
static const char __pyx_k_LocalWl___reduce_cython[] = "LocalWl.__reduce_cython__";
static const char __pyx_k_cubatic_order_parameter[] = "cubatic_order_parameter";
static const char __pyx_k_nematic_order_parameter[] = "nematic_order_parameter";
static const char __pyx_k_AngularSeparation___init[] = "AngularSeparation.__init__";
static const char __pyx_k_HexOrderParameter_getBox[] = "HexOrderParameter.getBox";
static const char __pyx_k_HexOrderParameter_getPsi[] = "HexOrderParameter.getPsi";
static const char __pyx_k_SolLiq___setstate_cython[] = "SolLiq.__setstate_cython__";
static const char __pyx_k_particle_order_parameter[] = "particle_order_parameter";
static const char __pyx_k_HexOrderParameter_compute[] = "HexOrderParameter.compute";
static const char __pyx_k_LocalQl___setstate_cython[] = "LocalQl.__setstate_cython__";
static const char __pyx_k_LocalWl___setstate_cython[] = "LocalWl.__setstate_cython__";
static const char __pyx_k_TransOrderParameter_getDr[] = "TransOrderParameter.getDr";
static const char __pyx_k_TransOrderParameter_getNP[] = "TransOrderParameter.getNP";
static const char __pyx_k_scale_must_be_less_than_1[] = "scale must be less than 1";
static const char __pyx_k_LocalQlNear_computeAveNorm[] = "LocalQlNear.computeAveNorm";
static const char __pyx_k_LocalWlNear_computeAveNorm[] = "LocalWlNear.computeAveNorm";
static const char __pyx_k_SolLiqNear___reduce_cython[] = "SolLiqNear.__reduce_cython__";
static const char __pyx_k_SolLiq_computeSolLiqNoNorm[] = "SolLiq.computeSolLiqNoNorm";
static const char __pyx_k_SolLiq_setClusteringRadius[] = "SolLiq.setClusteringRadius";
static const char __pyx_k_TransOrderParameter_getBox[] = "TransOrderParameter.getBox";
static const char __pyx_k_LocalQlNear___reduce_cython[] = "LocalQlNear.__reduce_cython__";
static const char __pyx_k_LocalWlNear___reduce_cython[] = "LocalWlNear.__reduce_cython__";
static const char __pyx_k_SolLiq_computeSolLiqVariant[] = "SolLiq.computeSolLiqVariant";
static const char __pyx_k_TransOrderParameter_compute[] = "TransOrderParameter.compute";
static const char __pyx_k_get_cubatic_order_parameter[] = "get_cubatic_order_parameter";
static const char __pyx_k_get_nematic_order_parameter[] = "get_nematic_order_parameter";
static const char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
static const char __pyx_k_SolLiqNear___setstate_cython[] = "SolLiqNear.__setstate_cython__";
static const char __pyx_k_SolLiq_getLargestClusterSize[] = "SolLiq.getLargestClusterSize";
static const char __pyx_k_CubaticOrderParameter_compute[] = "CubaticOrderParameter.compute";
static const char __pyx_k_LocalQlNear___setstate_cython[] = "LocalQlNear.__setstate_cython__";
static const char __pyx_k_LocalWlNear___setstate_cython[] = "LocalWlNear.__setstate_cython__";
static const char __pyx_k_NematicOrderParameter_compute[] = "NematicOrderParameter.compute";
static const char __pyx_k_SolLiq_getNumberOfConnections[] = "SolLiq.getNumberOfConnections";
static const char __pyx_k_points_should_be_an_Nx3_array[] = "points should be an Nx3 array";
static const char __pyx_k_SolLiqNear_computeSolLiqNoNorm[] = "SolLiqNear.computeSolLiqNoNorm";
static const char __pyx_k_CubaticOrderParameter_get_scale[] = "CubaticOrderParameter.get_scale";
static const char __pyx_k_SolLiqNear_computeSolLiqVariant[] = "SolLiqNear.computeSolLiqVariant";
static const char __pyx_k_The_getClusterSizes_function_is[] = "The getClusterSizes function is deprecated in favor of the cluster_sizes class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getK_function_is_deprecated[] = "The getK function is deprecated in favor of the K class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getNumParticles_function_is[] = "The getNumParticles function is deprecated in favor of the num_particles class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_get_cubatic_order_parameter[] = "The get_cubatic_order_parameter function is deprecated in favor of the cubatic_order_parameter class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_get_cubatic_tensor_function[] = "The get_cubatic_tensor function is deprecated in favor of the cubatic_tensor class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_get_nematic_order_parameter[] = "The get_nematic_order_parameter function is deprecated in favor of the nematic_order_parameter class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_get_nematic_tensor_function[] = "The get_nematic_tensor function is deprecated in favor of the nematic_tensor class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_get_orientation_function_is[] = "The get_orientation function is deprecated in favor of the orientation class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_get_particle_op_function_is[] = "The get_particle_op function is deprecated in favor of the particle_order_parameter class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_order_module_contains_funct[] = "\nThe order module contains functions which compute order parameters for the\nwhole system or individual particles. Order parameters take bond order data and\ninterpret it in some way to quantify the degree of order in a system using a\nscalar value. This is often done through computing spherical harmonics of the\nbond order diagram, which are the spherical analogue of Fourier Transforms.\n";
static const char __pyx_k_numpy_core_multiarray_failed_to[] = "numpy.core.multiarray failed to import";
static const char __pyx_k_supplied_seed_could_not_be_used[] = "supplied seed could not be used. using time as seed";
static const char __pyx_k_unknown_dtype_code_in_numpy_pxd[] = "unknown dtype code in numpy.pxd (%d)";
static const char __pyx_k_CubaticOrderParameter___reduce_c[] = "CubaticOrderParameter.__reduce_cython__";
static const char __pyx_k_CubaticOrderParameter___setstate[] = "CubaticOrderParameter.__setstate_cython__";
static const char __pyx_k_CubaticOrderParameter_get_cubati[] = "CubaticOrderParameter.get_cubatic_order_parameter";
static const char __pyx_k_CubaticOrderParameter_get_gen_r4[] = "CubaticOrderParameter.get_gen_r4_tensor";
static const char __pyx_k_CubaticOrderParameter_get_global[] = "CubaticOrderParameter.get_global_tensor";
static const char __pyx_k_CubaticOrderParameter_get_orient[] = "CubaticOrderParameter.get_orientation";
static const char __pyx_k_CubaticOrderParameter_get_partic[] = "CubaticOrderParameter.get_particle_op";
static const char __pyx_k_CubaticOrderParameter_get_t_fina[] = "CubaticOrderParameter.get_t_final";
static const char __pyx_k_CubaticOrderParameter_get_t_init[] = "CubaticOrderParameter.get_t_initial";
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_HexOrderParameter___reduce_cytho[] = "HexOrderParameter.__reduce_cython__";
static const char __pyx_k_HexOrderParameter___setstate_cyt[] = "HexOrderParameter.__setstate_cython__";
static const char __pyx_k_NematicOrderParameter___reduce_c[] = "NematicOrderParameter.__reduce_cython__";
static const char __pyx_k_NematicOrderParameter___setstate[] = "NematicOrderParameter.__setstate_cython__";
static const char __pyx_k_NematicOrderParameter_get_direct[] = "NematicOrderParameter.get_director";
static const char __pyx_k_NematicOrderParameter_get_nemati[] = "NematicOrderParameter.get_nematic_order_parameter";
static const char __pyx_k_NematicOrderParameter_get_partic[] = "NematicOrderParameter.get_particle_tensor";
static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static const char __pyx_k_The_getAveQl_function_is_depreca[] = "The getAveQl function is deprecated in favor of the ave_Ql class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getAveWl_function_is_depreca[] = "The getAveWl function is deprecated in favor of the ave_Wl class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getBox_function_is_deprecate[] = "The getBox function is deprecated in favor of the box class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getClusters_function_is_depr[] = "The getClusters function is deprecated in favor of the clusters class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getDr_function_is_deprecated[] = "The getDr function is deprecated in favor of the d_r class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getLargestClusterSize_functi[] = "The getLargestClusterSize function is deprecated in favor of the largest_cluster_size class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getNP_function_is_deprecated[] = "The getNP function is deprecated in favor of the box class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getNumberOfConnections_funct[] = "The getNumberOfConnections function is deprecated in favor of the num_connections class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getPsi_function_is_deprecate[] = "The getPsi function is deprecated in favor of the psi class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getQlAveNorm_function_is_dep[] = "The getQlAveNorm function is deprecated in favor of the ave_norm_Ql class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getQlNorm_function_is_deprec[] = "The getQlNorm function is deprecated in favor of the norm_Ql class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getQl_function_is_deprecated[] = "The getQl function is deprecated in favor of the Ql class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getQldot_ij_function_is_depr[] = "The getQldot_ij function is deprecated in favor of the Ql_dot_ij class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getQlmi_function_is_deprecat[] = "The getQlmi function is deprecated in favor of the Ql_mi class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getWlAveNorm_function_is_dep[] = "The getWlAveNorm function is deprecated in favor of the ave_norm_Wl class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getWlNorm_function_is_deprec[] = "The getWlNorm function is deprecated in favor of the norm_Wl class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_getWl_function_is_deprecated[] = "The getWl function is deprecated in favor of the Wl class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_get_director_function_is_dep[] = "The get_director function is deprecated in favor of the director class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_get_gen_r4_tensor_function_i[] = "The get_gen_r4_tensor function is deprecated in favor of the gen_r4_tensor class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_get_global_tensor_function_i[] = "The get_global_tensor function is deprecated in favor of the global_tensor class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_get_particle_tensor_function[] = "The get_particle_tensor function is deprecated in favor of the particle_tensor class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_get_scale_function_is_deprec[] = "The get_scale function is deprecated in favor of the scale class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_get_t_final_function_is_depr[] = "The get_t_final function is deprecated in favor of the t_final class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_get_t_initial_function_is_de[] = "The get_t_initial function is deprecated in favor of the t_initial class attribute and will be removed in a future version of freud.";
static const char __pyx_k_The_setBox_function_is_deprecate[] = "The setBox function is deprecated in favor of setting the box class attribute and will be removed in a future version of freud.";
static const char __pyx_k_This_class_is_deprecated_use_fre[] = "This class is deprecated, use freud.environment.BondOrder instead!";
static const char __pyx_k_TransOrderParameter___reduce_cyt[] = "TransOrderParameter.__reduce_cython__";
static const char __pyx_k_TransOrderParameter___setstate_c[] = "TransOrderParameter.__setstate_cython__";
static const char __pyx_k_Use_constructor_arguments_instea[] = "Use constructor arguments instead of this setter. This setter will be removed in the future.";
static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static const char __pyx_k_no_default___reduce___due_to_non[] = "no default __reduce__ due to non-trivial __cinit__";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_orientations_should_be_an_Nx4_ar[] = "orientations should be an Nx4 array";
static const char __pyx_k_t_final_must_be_less_than_t_init[] = "t_final must be less than t_initial";
static const char __pyx_k_u_needs_to_be_a_three_dimensiona[] = "u needs to be a three-dimensional vector";
static const char __pyx_k_CubaticOrderParameter_get_cubati_2[] = "CubaticOrderParameter.get_cubatic_tensor";
static const char __pyx_k_CubaticOrderParameter_get_partic_2[] = "CubaticOrderParameter.get_particle_tensor";
static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
static const char __pyx_k_NematicOrderParameter_get_nemati_2[] = "NematicOrderParameter.get_nematic_tensor";
static const char __pyx_k_The_getNP_function_is_deprecated_2[] = "The getNP function is deprecated in favor of the num_particles class attribute and will be removed in a future version of freud.";
static const char __pyx_k_This_class_is_deprecated_use_fre_2[] = "This class is deprecated, use freud.environment.LocalDescriptors instead!";
static const char __pyx_k_This_class_is_deprecated_use_fre_3[] = "This class is deprecated, use freud.environment.MatchEnv instead!";
static const char __pyx_k_This_class_is_deprecated_use_fre_4[] = "This class is deprecated, use freud.bond instead!";
static const char __pyx_k_This_class_is_deprecated_use_fre_5[] = "This class is deprecated, use freud.environment.AngularSeparation instead!";
static PyObject *__pyx_n_s_AngularSeparation;
static PyObject *__pyx_n_s_AngularSeparation___init;
static PyObject *__pyx_n_s_AttributeError;
static PyObject *__pyx_n_s_BondOrder;
static PyObject *__pyx_n_s_BondOrder___init;
static PyObject *__pyx_n_s_CubaticOrderParameter___reduce_c;
static PyObject *__pyx_n_s_CubaticOrderParameter___setstate;
static PyObject *__pyx_n_s_CubaticOrderParameter_compute;
static PyObject *__pyx_n_s_CubaticOrderParameter_get_cubati;
static PyObject *__pyx_n_s_CubaticOrderParameter_get_cubati_2;
static PyObject *__pyx_n_s_CubaticOrderParameter_get_gen_r4;
static PyObject *__pyx_n_s_CubaticOrderParameter_get_global;
static PyObject *__pyx_n_s_CubaticOrderParameter_get_orient;
static PyObject *__pyx_n_s_CubaticOrderParameter_get_partic;
static PyObject *__pyx_n_s_CubaticOrderParameter_get_partic_2;
static PyObject *__pyx_n_s_CubaticOrderParameter_get_scale;
static PyObject *__pyx_n_s_CubaticOrderParameter_get_t_fina;
static PyObject *__pyx_n_s_CubaticOrderParameter_get_t_init;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor;
static PyObject *__pyx_kp_u_Format_string_allocated_too_shor_2;
static PyObject *__pyx_n_s_FreudDeprecationWarning;
static PyObject *__pyx_n_s_HexOrderParameter___reduce_cytho;
static PyObject *__pyx_n_s_HexOrderParameter___setstate_cyt;
static PyObject *__pyx_n_s_HexOrderParameter_compute;
static PyObject *__pyx_n_s_HexOrderParameter_getBox;
static PyObject *__pyx_n_s_HexOrderParameter_getK;
static PyObject *__pyx_n_s_HexOrderParameter_getNP;
static PyObject *__pyx_n_s_HexOrderParameter_getPsi;
static PyObject *__pyx_n_s_ImportError;
static PyObject *__pyx_n_s_K;
static PyObject *__pyx_n_s_LocalDescriptors;
static PyObject *__pyx_n_s_LocalDescriptors___init;
static PyObject *__pyx_n_s_LocalQlNear___reduce_cython;
static PyObject *__pyx_n_s_LocalQlNear___setstate_cython;
static PyObject *__pyx_n_s_LocalQlNear_computeAve;
static PyObject *__pyx_n_s_LocalQlNear_computeAveNorm;
static PyObject *__pyx_n_s_LocalQlNear_computeNorm;
static PyObject *__pyx_n_s_LocalQl___reduce_cython;
static PyObject *__pyx_n_s_LocalQl___setstate_cython;
static PyObject *__pyx_n_s_LocalQl_compute;
static PyObject *__pyx_n_s_LocalQl_computeAve;
static PyObject *__pyx_n_s_LocalQl_computeAveNorm;
static PyObject *__pyx_n_s_LocalQl_computeNorm;
static PyObject *__pyx_n_s_LocalQl_getAveQl;
static PyObject *__pyx_n_s_LocalQl_getBox;
static PyObject *__pyx_n_s_LocalQl_getNP;
static PyObject *__pyx_n_s_LocalQl_getQl;
static PyObject *__pyx_n_s_LocalQl_getQlAveNorm;
static PyObject *__pyx_n_s_LocalQl_getQlNorm;
static PyObject *__pyx_n_s_LocalQl_setBox;
static PyObject *__pyx_n_s_LocalWlNear___reduce_cython;
static PyObject *__pyx_n_s_LocalWlNear___setstate_cython;
static PyObject *__pyx_n_s_LocalWlNear_computeAve;
static PyObject *__pyx_n_s_LocalWlNear_computeAveNorm;
static PyObject *__pyx_n_s_LocalWlNear_computeNorm;
static PyObject *__pyx_n_s_LocalWl___dir;
static PyObject *__pyx_n_s_LocalWl___reduce_cython;
static PyObject *__pyx_n_s_LocalWl___setstate_cython;
static PyObject *__pyx_n_s_LocalWl_getAveWl;
static PyObject *__pyx_n_s_LocalWl_getWl;
static PyObject *__pyx_n_s_LocalWl_getWlAveNorm;
static PyObject *__pyx_n_s_LocalWl_getWlNorm;
static PyObject *__pyx_n_s_MatchEnv;
static PyObject *__pyx_n_s_MatchEnv___init;
static PyObject *__pyx_n_s_NematicOrderParameter___reduce_c;
static PyObject *__pyx_n_s_NematicOrderParameter___setstate;
static PyObject *__pyx_n_s_NematicOrderParameter_compute;
static PyObject *__pyx_n_s_NematicOrderParameter_get_direct;
static PyObject *__pyx_n_s_NematicOrderParameter_get_nemati;
static PyObject *__pyx_n_s_NematicOrderParameter_get_nemati_2;
static PyObject *__pyx_n_s_NematicOrderParameter_get_partic;
static PyObject *__pyx_kp_u_Non_native_byte_order_not_suppor;
static PyObject *__pyx_n_s_Pairing2D;
static PyObject *__pyx_n_s_Pairing2D___init;
static PyObject *__pyx_n_s_Ql;
static PyObject *__pyx_n_s_Ql_dot_ij;
static PyObject *__pyx_n_s_Ql_mi;
static PyObject *__pyx_n_s_Qthreshold;
static PyObject *__pyx_n_s_RuntimeError;
static PyObject *__pyx_n_s_SolLiqNear___reduce_cython;
static PyObject *__pyx_n_s_SolLiqNear___setstate_cython;
static PyObject *__pyx_n_s_SolLiqNear_compute;
static PyObject *__pyx_n_s_SolLiqNear_computeSolLiqNoNorm;
static PyObject *__pyx_n_s_SolLiqNear_computeSolLiqVariant;
static PyObject *__pyx_n_s_SolLiq___reduce_cython;
static PyObject *__pyx_n_s_SolLiq___setstate_cython;
static PyObject *__pyx_n_s_SolLiq_compute;
static PyObject *__pyx_n_s_SolLiq_computeSolLiqNoNorm;
static PyObject *__pyx_n_s_SolLiq_computeSolLiqVariant;
static PyObject *__pyx_n_s_SolLiq_getBox;
static PyObject *__pyx_n_s_SolLiq_getClusterSizes;
static PyObject *__pyx_n_s_SolLiq_getClusters;
static PyObject *__pyx_n_s_SolLiq_getLargestClusterSize;
static PyObject *__pyx_n_s_SolLiq_getNP;
static PyObject *__pyx_n_s_SolLiq_getNumberOfConnections;
static PyObject *__pyx_n_s_SolLiq_getQldot_ij;
static PyObject *__pyx_n_s_SolLiq_getQlmi;
static PyObject *__pyx_n_s_SolLiq_setBox;
static PyObject *__pyx_n_s_SolLiq_setClusteringRadius;
static PyObject *__pyx_n_s_Sthreshold;
static PyObject *__pyx_kp_s_The_getAveQl_function_is_depreca;
static PyObject *__pyx_kp_s_The_getAveWl_function_is_depreca;
static PyObject *__pyx_kp_s_The_getBox_function_is_deprecate;
static PyObject *__pyx_kp_s_The_getClusterSizes_function_is;
static PyObject *__pyx_kp_s_The_getClusters_function_is_depr;
static PyObject *__pyx_kp_s_The_getDr_function_is_deprecated;
static PyObject *__pyx_kp_s_The_getK_function_is_deprecated;
static PyObject *__pyx_kp_s_The_getLargestClusterSize_functi;
static PyObject *__pyx_kp_s_The_getNP_function_is_deprecated;
static PyObject *__pyx_kp_s_The_getNP_function_is_deprecated_2;
static PyObject *__pyx_kp_s_The_getNumParticles_function_is;
static PyObject *__pyx_kp_s_The_getNumberOfConnections_funct;
static PyObject *__pyx_kp_s_The_getPsi_function_is_deprecate;
static PyObject *__pyx_kp_s_The_getQlAveNorm_function_is_dep;
static PyObject *__pyx_kp_s_The_getQlNorm_function_is_deprec;
static PyObject *__pyx_kp_s_The_getQl_function_is_deprecated;
static PyObject *__pyx_kp_s_The_getQldot_ij_function_is_depr;
static PyObject *__pyx_kp_s_The_getQlmi_function_is_deprecat;
static PyObject *__pyx_kp_s_The_getWlAveNorm_function_is_dep;
static PyObject *__pyx_kp_s_The_getWlNorm_function_is_deprec;
static PyObject *__pyx_kp_s_The_getWl_function_is_deprecated;
static PyObject *__pyx_kp_s_The_get_cubatic_order_parameter;
static PyObject *__pyx_kp_s_The_get_cubatic_tensor_function;
static PyObject *__pyx_kp_s_The_get_director_function_is_dep;
static PyObject *__pyx_kp_s_The_get_gen_r4_tensor_function_i;
static PyObject *__pyx_kp_s_The_get_global_tensor_function_i;
static PyObject *__pyx_kp_s_The_get_nematic_order_parameter;
static PyObject *__pyx_kp_s_The_get_nematic_tensor_function;
static PyObject *__pyx_kp_s_The_get_orientation_function_is;
static PyObject *__pyx_kp_s_The_get_particle_op_function_is;
static PyObject *__pyx_kp_s_The_get_particle_tensor_function;
static PyObject *__pyx_kp_s_The_get_scale_function_is_deprec;
static PyObject *__pyx_kp_s_The_get_t_final_function_is_depr;
static PyObject *__pyx_kp_s_The_get_t_initial_function_is_de;
static PyObject *__pyx_kp_s_The_setBox_function_is_deprecate;
static PyObject *__pyx_kp_s_This_class_is_deprecated_use_fre;
static PyObject *__pyx_kp_s_This_class_is_deprecated_use_fre_2;
static PyObject *__pyx_kp_s_This_class_is_deprecated_use_fre_3;
static PyObject *__pyx_kp_s_This_class_is_deprecated_use_fre_4;
static PyObject *__pyx_kp_s_This_class_is_deprecated_use_fre_5;
static PyObject *__pyx_n_s_TransOrderParameter___reduce_cyt;
static PyObject *__pyx_n_s_TransOrderParameter___setstate_c;
static PyObject *__pyx_n_s_TransOrderParameter_compute;
static PyObject *__pyx_n_s_TransOrderParameter_getBox;
static PyObject *__pyx_n_s_TransOrderParameter_getDr;
static PyObject *__pyx_n_s_TransOrderParameter_getNP;
static PyObject *__pyx_n_s_TypeError;
static PyObject *__pyx_kp_s_Use_constructor_arguments_instea;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s_Wl;
static PyObject *__pyx_n_s_array;
static PyObject *__pyx_n_s_array_name;
static PyObject *__pyx_n_s_ave_Ql;
static PyObject *__pyx_n_s_ave_Wl;
static PyObject *__pyx_n_s_ave_norm_Ql;
static PyObject *__pyx_n_s_ave_norm_Wl;
static PyObject *__pyx_n_s_b;
static PyObject *__pyx_n_s_box;
static PyObject *__pyx_n_s_class;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_cluster_sizes;
static PyObject *__pyx_n_s_clusters;
static PyObject *__pyx_n_s_common;
static PyObject *__pyx_n_s_compDotTol;
static PyObject *__pyx_n_s_compute;
static PyObject *__pyx_n_s_computeAve;
static PyObject *__pyx_n_s_computeAveNorm;
static PyObject *__pyx_n_s_computeNorm;
static PyObject *__pyx_n_s_computeSolLiqNoNorm;
static PyObject *__pyx_n_s_computeSolLiqVariant;
static PyObject *__pyx_n_s_contiguous;
static PyObject *__pyx_n_s_convert_array;
static PyObject *__pyx_n_s_convert_box;
static PyObject *__pyx_n_s_cubatic_order_parameter;
static PyObject *__pyx_n_s_cubatic_tensor;
static PyObject *__pyx_n_s_d_r;
static PyObject *__pyx_n_s_defaulted_nlist;
static PyObject *__pyx_n_s_delattrs;
static PyObject *__pyx_n_s_dir;
static PyObject *__pyx_n_s_director;
static PyObject *__pyx_n_s_doc;
static PyObject *__pyx_n_s_dtype;
static PyObject *__pyx_n_s_einsum;
static PyObject *__pyx_n_s_end;
static PyObject *__pyx_n_s_eye;
static PyObject *__pyx_n_s_file;
static PyObject *__pyx_n_s_float32;
static PyObject *__pyx_n_s_freud;
static PyObject *__pyx_n_s_freud_common;
static PyObject *__pyx_n_s_freud_errors;
static PyObject *__pyx_n_s_freud_locality;
static PyObject *__pyx_n_s_freud_order;
static PyObject *__pyx_kp_s_freud_order_pyx;
static PyObject *__pyx_n_s_gen_r4_tensor;
static PyObject *__pyx_n_s_getAveQl;
static PyObject *__pyx_n_s_getAveWl;
static PyObject *__pyx_n_s_getBox;
static PyObject *__pyx_n_s_getClusterSizes;
static PyObject *__pyx_n_s_getClusters;
static PyObject *__pyx_n_s_getDr;
static PyObject *__pyx_n_s_getK;
static PyObject *__pyx_n_s_getLargestClusterSize;
static PyObject *__pyx_n_s_getNP;
static PyObject *__pyx_n_s_getNumberOfConnections;
static PyObject *__pyx_n_s_getPsi;
static PyObject *__pyx_n_s_getQl;
static PyObject *__pyx_n_s_getQlAveNorm;
static PyObject *__pyx_n_s_getQlNorm;
static PyObject *__pyx_n_s_getQldot_ij;
static PyObject *__pyx_n_s_getQlmi;
static PyObject *__pyx_n_s_getWl;
static PyObject *__pyx_n_s_getWlAveNorm;
static PyObject *__pyx_n_s_getWlNorm;
static PyObject *__pyx_n_s_get_cubatic_order_parameter;
static PyObject *__pyx_n_s_get_cubatic_tensor;
static PyObject *__pyx_n_s_get_director;
static PyObject *__pyx_n_s_get_gen_r4_tensor;
static PyObject *__pyx_n_s_get_global_tensor;
static PyObject *__pyx_n_s_get_nematic_order_parameter;
static PyObject *__pyx_n_s_get_nematic_tensor;
static PyObject *__pyx_n_s_get_orientation;
static PyObject *__pyx_n_s_get_particle_op;
static PyObject *__pyx_n_s_get_particle_tensor;
static PyObject *__pyx_n_s_get_scale;
static PyObject *__pyx_n_s_get_t_final;
static PyObject *__pyx_n_s_get_t_initial;
static PyObject *__pyx_n_s_getattribute;
static PyObject *__pyx_n_s_getstate;
static PyObject *__pyx_n_s_global_tensor;
static PyObject *__pyx_kp_s_ij_kl_ijkl;
static PyObject *__pyx_kp_s_ik_jl_ijkl;
static PyObject *__pyx_kp_s_il_jk_ijkl;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_init;
static PyObject *__pyx_n_s_k;
static PyObject *__pyx_n_s_kn;
static PyObject *__pyx_n_s_l;
static PyObject *__pyx_n_s_l_orientations;
static PyObject *__pyx_n_s_l_points;
static PyObject *__pyx_n_s_largest_cluster_size;
static PyObject *__pyx_n_s_lmax;
static PyObject *__pyx_n_s_locality;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_make_default_nlist;
static PyObject *__pyx_n_s_make_default_nlist_nn;
static PyObject *__pyx_n_s_metaclass;
static PyObject *__pyx_n_s_module;
static PyObject *__pyx_n_s_n;
static PyObject *__pyx_n_s_nP;
static PyObject *__pyx_n_s_n_bins_p;
static PyObject *__pyx_n_s_n_bins_t;
static PyObject *__pyx_n_s_n_replicates;
static PyObject *__pyx_n_s_name;
static PyObject *__pyx_n_s_nbins;
static PyObject *__pyx_kp_u_ndarray_is_not_C_contiguous;
static PyObject *__pyx_kp_u_ndarray_is_not_Fortran_contiguou;
static PyObject *__pyx_n_s_negative_m;
static PyObject *__pyx_n_s_nematic_order_parameter;
static PyObject *__pyx_n_s_nematic_tensor;
static PyObject *__pyx_n_s_nlist;
static PyObject *__pyx_n_s_nlist_2;
static PyObject *__pyx_kp_s_no_default___reduce___due_to_non;
static PyObject *__pyx_n_s_norm_Ql;
static PyObject *__pyx_n_s_norm_Wl;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_num_connections;
static PyObject *__pyx_n_s_num_neighbors;
static PyObject *__pyx_n_s_num_particles;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_kp_s_numpy_core_multiarray_failed_to;
static PyObject *__pyx_kp_s_numpy_core_umath_failed_to_impor;
static PyObject *__pyx_n_s_orientation;
static PyObject *__pyx_n_s_orientations;
static PyObject *__pyx_kp_s_orientations_should_be_an_Nx4_ar;
static PyObject *__pyx_n_s_particle_order_parameter;
static PyObject *__pyx_n_s_particle_tensor;
static PyObject *__pyx_n_s_points;
static PyObject *__pyx_kp_s_points_should_be_an_Nx3_array;
static PyObject *__pyx_n_s_prepare;
static PyObject *__pyx_n_s_print;
static PyObject *__pyx_n_s_psi;
static PyObject *__pyx_n_s_pyx_state;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_qualname;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_rcutCluster;
static PyObject *__pyx_n_s_reduce;
static PyObject *__pyx_n_s_reduce_cython;
static PyObject *__pyx_n_s_reduce_ex;
static PyObject *__pyx_n_s_result;
static PyObject *__pyx_n_s_rmax;
static PyObject *__pyx_n_s_rmin;
static PyObject *__pyx_n_s_scale;
static PyObject *__pyx_kp_s_scale_must_be_less_than_1;
static PyObject *__pyx_n_s_seed;
static PyObject *__pyx_n_s_self;
static PyObject *__pyx_n_s_setBox;
static PyObject *__pyx_n_s_setClusteringRadius;
static PyObject *__pyx_n_s_setstate;
static PyObject *__pyx_n_s_setstate_cython;
static PyObject *__pyx_n_s_shape;
static PyObject *__pyx_kp_s_stringsource;
static PyObject *__pyx_n_s_super;
static PyObject *__pyx_kp_s_supplied_seed_could_not_be_used;
static PyObject *__pyx_n_s_t_final;
static PyObject *__pyx_kp_s_t_final_must_be_less_than_t_init;
static PyObject *__pyx_n_s_t_initial;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_time;
static PyObject *__pyx_n_s_u;
static PyObject *__pyx_kp_s_u_needs_to_be_a_three_dimensiona;
static PyObject *__pyx_kp_u_unknown_dtype_code_in_numpy_pxd;
static PyObject *__pyx_n_s_warn;
static PyObject *__pyx_n_s_warnings;
static int __pyx_pf_5freud_5order_21CubaticOrderParameter___cinit__(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self, PyObject *__pyx_v_t_initial, PyObject *__pyx_v_t_final, PyObject *__pyx_v_scale, PyObject *__pyx_v_n_replicates, PyObject *__pyx_v_seed); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_2compute(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self, PyObject *__pyx_v_orientations); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_9t_initial___get__(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_4get_t_initial(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_7t_final___get__(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_6get_t_final(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_5scale___get__(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_8get_scale(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_23cubatic_order_parameter___get__(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_10get_cubatic_order_parameter(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_11orientation___get__(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_12get_orientation(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_24particle_order_parameter___get__(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_14get_particle_op(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_15particle_tensor___get__(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_16get_particle_tensor(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_13global_tensor___get__(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_18get_global_tensor(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_14cubatic_tensor___get__(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_20get_cubatic_tensor(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_13gen_r4_tensor___get__(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_22get_gen_r4_tensor(struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_24__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21CubaticOrderParameter_26__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_CubaticOrderParameter *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5freud_5order_21NematicOrderParameter___cinit__(struct __pyx_obj_5freud_5order_NematicOrderParameter *__pyx_v_self, PyObject *__pyx_v_u); /* proto */
static PyObject *__pyx_pf_5freud_5order_21NematicOrderParameter_2compute(struct __pyx_obj_5freud_5order_NematicOrderParameter *__pyx_v_self, PyObject *__pyx_v_orientations); /* proto */
static PyObject *__pyx_pf_5freud_5order_21NematicOrderParameter_23nematic_order_parameter___get__(struct __pyx_obj_5freud_5order_NematicOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21NematicOrderParameter_4get_nematic_order_parameter(struct __pyx_obj_5freud_5order_NematicOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21NematicOrderParameter_8director___get__(struct __pyx_obj_5freud_5order_NematicOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21NematicOrderParameter_6get_director(struct __pyx_obj_5freud_5order_NematicOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21NematicOrderParameter_15particle_tensor___get__(struct __pyx_obj_5freud_5order_NematicOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21NematicOrderParameter_8get_particle_tensor(struct __pyx_obj_5freud_5order_NematicOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21NematicOrderParameter_14nematic_tensor___get__(struct __pyx_obj_5freud_5order_NematicOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21NematicOrderParameter_10get_nematic_tensor(struct __pyx_obj_5freud_5order_NematicOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21NematicOrderParameter_12__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_NematicOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_21NematicOrderParameter_14__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_NematicOrderParameter *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5freud_5order_17HexOrderParameter___cinit__(struct __pyx_obj_5freud_5order_HexOrderParameter *__pyx_v_self, PyObject *__pyx_v_rmax, PyObject *__pyx_v_k, PyObject *__pyx_v_n); /* proto */
static void __pyx_pf_5freud_5order_17HexOrderParameter_2__dealloc__(struct __pyx_obj_5freud_5order_HexOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_17HexOrderParameter_4compute(struct __pyx_obj_5freud_5order_HexOrderParameter *__pyx_v_self, PyObject *__pyx_v_box, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_17HexOrderParameter_3psi___get__(struct __pyx_obj_5freud_5order_HexOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_17HexOrderParameter_6getPsi(struct __pyx_obj_5freud_5order_HexOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_17HexOrderParameter_3box___get__(struct __pyx_obj_5freud_5order_HexOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_17HexOrderParameter_8getBox(struct __pyx_obj_5freud_5order_HexOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_17HexOrderParameter_13num_particles___get__(struct __pyx_obj_5freud_5order_HexOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_17HexOrderParameter_10getNP(struct __pyx_obj_5freud_5order_HexOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_17HexOrderParameter_1K___get__(struct __pyx_obj_5freud_5order_HexOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_17HexOrderParameter_12getK(struct __pyx_obj_5freud_5order_HexOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_17HexOrderParameter_14__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_HexOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_17HexOrderParameter_16__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_HexOrderParameter *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5freud_5order_19TransOrderParameter___cinit__(struct __pyx_obj_5freud_5order_TransOrderParameter *__pyx_v_self, PyObject *__pyx_v_rmax, PyObject *__pyx_v_k, PyObject *__pyx_v_n); /* proto */
static void __pyx_pf_5freud_5order_19TransOrderParameter_2__dealloc__(struct __pyx_obj_5freud_5order_TransOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_19TransOrderParameter_4compute(struct __pyx_obj_5freud_5order_TransOrderParameter *__pyx_v_self, PyObject *__pyx_v_box, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_19TransOrderParameter_3d_r___get__(struct __pyx_obj_5freud_5order_TransOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_19TransOrderParameter_6getDr(struct __pyx_obj_5freud_5order_TransOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_19TransOrderParameter_3box___get__(struct __pyx_obj_5freud_5order_TransOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_19TransOrderParameter_8getBox(struct __pyx_obj_5freud_5order_TransOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_19TransOrderParameter_13num_particles___get__(struct __pyx_obj_5freud_5order_TransOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_19TransOrderParameter_10getNP(struct __pyx_obj_5freud_5order_TransOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_19TransOrderParameter_12__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_TransOrderParameter *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_19TransOrderParameter_14__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_TransOrderParameter *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5freud_5order_7LocalQl___cinit__(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self, PyObject *__pyx_v_box, PyObject *__pyx_v_rmax, PyObject *__pyx_v_l, PyObject *__pyx_v_rmin); /* proto */
static void __pyx_pf_5freud_5order_7LocalQl_2__dealloc__(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_3box___get__(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static int __pyx_pf_5freud_5order_7LocalQl_3box_2__set__(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_4getBox(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_6setBox(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self, PyObject *__pyx_v_box); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_13num_particles___get__(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_8getNP(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_2Ql___get__(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_10getQl(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_6ave_Ql___get__(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_12getAveQl(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_7norm_Ql___get__(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_14getQlNorm(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_11ave_norm_Ql___get__(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_16getQlAveNorm(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_18compute(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_20computeAve(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_22computeNorm(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_24computeAveNorm(struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_26__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalQl_28__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_LocalQl *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5freud_5order_11LocalQlNear___cinit__(struct __pyx_obj_5freud_5order_LocalQlNear *__pyx_v_self, PyObject *__pyx_v_box, PyObject *__pyx_v_rmax, PyObject *__pyx_v_l, PyObject *__pyx_v_kn); /* proto */
static void __pyx_pf_5freud_5order_11LocalQlNear_2__dealloc__(struct __pyx_obj_5freud_5order_LocalQlNear *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_11LocalQlNear_4computeAve(struct __pyx_obj_5freud_5order_LocalQlNear *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_11LocalQlNear_6computeNorm(struct __pyx_obj_5freud_5order_LocalQlNear *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_11LocalQlNear_8computeAveNorm(struct __pyx_obj_5freud_5order_LocalQlNear *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_11LocalQlNear_10__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_LocalQlNear *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_11LocalQlNear_12__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_LocalQlNear *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5freud_5order_7LocalWl___cinit__(struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self, PyObject *__pyx_v_box, PyObject *__pyx_v_rmax, PyObject *__pyx_v_l, PyObject *__pyx_v_rmin, CYTHON_UNUSED PyObject *__pyx_v_args, CYTHON_UNUSED PyObject *__pyx_v_kwargs); /* proto */
static void __pyx_pf_5freud_5order_7LocalWl_2__dealloc__(struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalWl_4__getattribute__(struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self, PyObject *__pyx_v_name); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalWl_6__dir__(struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalWl_2Wl___get__(struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalWl_8getWl(struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalWl_6ave_Wl___get__(struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalWl_10getAveWl(struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalWl_7norm_Wl___get__(struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalWl_12getWlNorm(struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalWl_11ave_norm_Wl___get__(struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalWl_14getWlAveNorm(struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalWl_16__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_7LocalWl_18__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_LocalWl *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5freud_5order_11LocalWlNear___cinit__(struct __pyx_obj_5freud_5order_LocalWlNear *__pyx_v_self, PyObject *__pyx_v_box, PyObject *__pyx_v_rmax, PyObject *__pyx_v_l, PyObject *__pyx_v_kn); /* proto */
static void __pyx_pf_5freud_5order_11LocalWlNear_2__dealloc__(struct __pyx_obj_5freud_5order_LocalWlNear *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_11LocalWlNear_4computeAve(struct __pyx_obj_5freud_5order_LocalWlNear *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_11LocalWlNear_6computeNorm(struct __pyx_obj_5freud_5order_LocalWlNear *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_11LocalWlNear_8computeAveNorm(struct __pyx_obj_5freud_5order_LocalWlNear *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_11LocalWlNear_10__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_LocalWlNear *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_11LocalWlNear_12__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_LocalWlNear *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5freud_5order_6SolLiq___cinit__(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self, PyObject *__pyx_v_box, PyObject *__pyx_v_rmax, PyObject *__pyx_v_Qthreshold, PyObject *__pyx_v_Sthreshold, PyObject *__pyx_v_l, CYTHON_UNUSED PyObject *__pyx_v_args, CYTHON_UNUSED PyObject *__pyx_v_kwargs); /* proto */
static void __pyx_pf_5freud_5order_6SolLiq_2__dealloc__(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_4compute(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_6computeSolLiqVariant(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_8computeSolLiqNoNorm(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_3box___get__(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static int __pyx_pf_5freud_5order_6SolLiq_3box_2__set__(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self, PyObject *__pyx_v_value); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_10getBox(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_12setClusteringRadius(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self, PyObject *__pyx_v_rcutCluster); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_14setBox(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self, PyObject *__pyx_v_box); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_20largest_cluster_size___get__(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_16getLargestClusterSize(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_13cluster_sizes___get__(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_18getClusterSizes(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_5Ql_mi___get__(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_20getQlmi(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_8clusters___get__(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_22getClusters(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_15num_connections___get__(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_24getNumberOfConnections(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_9Ql_dot_ij___get__(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_26getQldot_ij(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_13num_particles___get__(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_28getNP(struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_30__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_6SolLiq_32__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_SolLiq *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static int __pyx_pf_5freud_5order_10SolLiqNear___cinit__(struct __pyx_obj_5freud_5order_SolLiqNear *__pyx_v_self, PyObject *__pyx_v_box, PyObject *__pyx_v_rmax, PyObject *__pyx_v_Qthreshold, PyObject *__pyx_v_Sthreshold, PyObject *__pyx_v_l, PyObject *__pyx_v_kn); /* proto */
static void __pyx_pf_5freud_5order_10SolLiqNear_2__dealloc__(struct __pyx_obj_5freud_5order_SolLiqNear *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_10SolLiqNear_4compute(struct __pyx_obj_5freud_5order_SolLiqNear *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_10SolLiqNear_6computeSolLiqVariant(struct __pyx_obj_5freud_5order_SolLiqNear *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_10SolLiqNear_8computeSolLiqNoNorm(struct __pyx_obj_5freud_5order_SolLiqNear *__pyx_v_self, PyObject *__pyx_v_points, PyObject *__pyx_v_nlist); /* proto */
static PyObject *__pyx_pf_5freud_5order_10SolLiqNear_10__reduce_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_SolLiqNear *__pyx_v_self); /* proto */
static PyObject *__pyx_pf_5freud_5order_10SolLiqNear_12__setstate_cython__(CYTHON_UNUSED struct __pyx_obj_5freud_5order_SolLiqNear *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v___pyx_state); /* proto */
static PyObject *__pyx_pf_5freud_5order_9BondOrder___init__(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_rmax, CYTHON_UNUSED PyObject *__pyx_v_k, CYTHON_UNUSED PyObject *__pyx_v_n, CYTHON_UNUSED PyObject *__pyx_v_n_bins_t, CYTHON_UNUSED PyObject *__pyx_v_n_bins_p); /* proto */
static PyObject *__pyx_pf_5freud_5order_16LocalDescriptors___init__(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_num_neighbors, CYTHON_UNUSED PyObject *__pyx_v_lmax, CYTHON_UNUSED PyObject *__pyx_v_rmax, CYTHON_UNUSED PyObject *__pyx_v_negative_m); /* proto */
static PyObject *__pyx_pf_5freud_5order_8MatchEnv___init__(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_box, CYTHON_UNUSED PyObject *__pyx_v_rmax, CYTHON_UNUSED PyObject *__pyx_v_k); /* proto */
static PyObject *__pyx_pf_5freud_5order_9Pairing2D___init__(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_rmax, CYTHON_UNUSED PyObject *__pyx_v_k, CYTHON_UNUSED PyObject *__pyx_v_compDotTol); /* proto */
static PyObject *__pyx_pf_5freud_5order_17AngularSeparation___init__(CYTHON_UNUSED PyObject *__pyx_self, CYTHON_UNUSED PyObject *__pyx_v_self, CYTHON_UNUSED PyObject *__pyx_v_rmax, CYTHON_UNUSED PyObject *__pyx_v_n); /* proto */
static int __pyx_pf_5numpy_7ndarray___getbuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info, int __pyx_v_flags); /* proto */
static void __pyx_pf_5numpy_7ndarray_2__releasebuffer__(PyArrayObject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static PyObject *__pyx_tp_new_5freud_5order_CubaticOrderParameter(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5freud_5order_NematicOrderParameter(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5freud_5order_HexOrderParameter(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5freud_5order_TransOrderParameter(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5freud_5order_LocalQl(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5freud_5order_LocalQlNear(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5freud_5order_LocalWl(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5freud_5order_LocalWlNear(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5freud_5order_SolLiq(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_tp_new_5freud_5order_SolLiqNear(PyTypeObject *t, PyObject *a, PyObject *k); /*proto*/
static PyObject *__pyx_float_1_0;
static PyObject *__pyx_float_6_0;
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_2;
static PyObject *__pyx_int_3;
static PyObject *__pyx_int_4;
static PyObject *__pyx_int_6;
static PyObject *__pyx_int_12;
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static void __pyx_tp_dealloc_5freud_5order_NematicOrderParameter(PyObject *o) {
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && (!PyType_IS_GC(Py_TYPE(o)) || !_PyGC_FINALIZED(o))) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  (*Py_TYPE(o)->tp_free)(o);
}

static PyObject *__pyx_getprop_5freud_5order_21NematicOrderParameter_nematic_order_parameter(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_21NematicOrderParameter_23nematic_order_parameter_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_21NematicOrderParameter_director(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_21NematicOrderParameter_8director_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_21NematicOrderParameter_particle_tensor(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_21NematicOrderParameter_15particle_tensor_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_21NematicOrderParameter_nematic_tensor(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_21NematicOrderParameter_14nematic_tensor_1__get__(o);
}

static PyMethodDef __pyx_methods_5freud_5order_NematicOrderParameter[] = {
  {"compute", (PyCFunction)__pyx_pw_5freud_5order_21NematicOrderParameter_3compute, METH_O, __pyx_doc_5freud_5order_21NematicOrderParameter_2compute},
  {"get_nematic_order_parameter", (PyCFunction)__pyx_pw_5freud_5order_21NematicOrderParameter_5get_nematic_order_parameter, METH_NOARGS, __pyx_doc_5freud_5order_21NematicOrderParameter_4get_nematic_order_parameter},
  {"get_director", (PyCFunction)__pyx_pw_5freud_5order_21NematicOrderParameter_7get_director, METH_NOARGS, __pyx_doc_5freud_5order_21NematicOrderParameter_6get_director},
  {"get_particle_tensor", (PyCFunction)__pyx_pw_5freud_5order_21NematicOrderParameter_9get_particle_tensor, METH_NOARGS, __pyx_doc_5freud_5order_21NematicOrderParameter_8get_particle_tensor},
  {"get_nematic_tensor", (PyCFunction)__pyx_pw_5freud_5order_21NematicOrderParameter_11get_nematic_tensor, METH_NOARGS, __pyx_doc_5freud_5order_21NematicOrderParameter_10get_nematic_tensor},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5freud_5order_21NematicOrderParameter_13__reduce_cython__, METH_NOARGS, __pyx_doc_5freud_5order_21NematicOrderParameter_12__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5freud_5order_21NematicOrderParameter_15__setstate_cython__, METH_O, __pyx_doc_5freud_5order_21NematicOrderParameter_14__setstate_cython__},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5freud_5order_NematicOrderParameter[] = {
  {(char *)"nematic_order_parameter", __pyx_getprop_5freud_5order_21NematicOrderParameter_nematic_order_parameter, 0, (char *)0, 0},
  {(char *)"director", __pyx_getprop_5freud_5order_21NematicOrderParameter_director, 0, (char *)0, 0},
  {(char *)"particle_tensor", __pyx_getprop_5freud_5order_21NematicOrderParameter_particle_tensor, 0, (char *)0, 0},
  {(char *)"nematic_tensor", __pyx_getprop_5freud_5order_21NematicOrderParameter_nematic_tensor, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5freud_5order_NematicOrderParameter = {
  PyVarObject_HEAD_INIT(0, 0)
  "freud.order.NematicOrderParameter", /*tp_name*/
  sizeof(struct __pyx_obj_5freud_5order_NematicOrderParameter), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5freud_5order_NematicOrderParameter, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE, /*tp_flags*/
  "Compute the nematic order parameter for a system of particles.\n\n    .. moduleauthor:: Jens Glaser <jsglaser@umich.edu>\n\n    .. versionadded:: 0.7.0\n\n    Args:\n        u (:math:`\\left(3 \\right)` :class:`numpy.ndarray`):\n            The nematic director of a single particle in the reference state\n            (without any rotation applied).\n\n    Attributes:\n        nematic_order_parameter (float):\n            Nematic order parameter.\n        director (:math:`\\left(3 \\right)` :class:`numpy.ndarray`):\n            The average nematic director.\n        particle_tensor (:math:`\\left(N_{particles}, 3, 3 \\right)` :class:`numpy.ndarray`):\n            One 3x3 matrix per-particle corresponding to each individual\n            particle orientation.\n        nematic_tensor (:math:`\\left(3, 3 \\right)` :class:`numpy.ndarray`):\n            3x3 matrix corresponding to the average particle orientation.\n    ", /*tp_doc*/
  0, /*tp_traverse*/
  0, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5freud_5order_NematicOrderParameter, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5freud_5order_NematicOrderParameter, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5freud_5order_NematicOrderParameter, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_5freud_5order_HexOrderParameter(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_5freud_5order_HexOrderParameter *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5freud_5order_HexOrderParameter *)o);
  p->num_neigh = Py_None; Py_INCREF(Py_None);
  p->rmax = Py_None; Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_5freud_5order_17HexOrderParameter_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_5freud_5order_HexOrderParameter(PyObject *o) {
  struct __pyx_obj_5freud_5order_HexOrderParameter *p = (struct __pyx_obj_5freud_5order_HexOrderParameter *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_pw_5freud_5order_17HexOrderParameter_3__dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->num_neigh);
  Py_CLEAR(p->rmax);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_5freud_5order_HexOrderParameter(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5freud_5order_HexOrderParameter *p = (struct __pyx_obj_5freud_5order_HexOrderParameter *)o;
  if (p->num_neigh) {
    e = (*v)(p->num_neigh, a); if (e) return e;
  }
  if (p->rmax) {
    e = (*v)(p->rmax, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5freud_5order_HexOrderParameter(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5freud_5order_HexOrderParameter *p = (struct __pyx_obj_5freud_5order_HexOrderParameter *)o;
  tmp = ((PyObject*)p->num_neigh);
  p->num_neigh = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->rmax);
  p->rmax = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_5freud_5order_17HexOrderParameter_psi(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_17HexOrderParameter_3psi_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_17HexOrderParameter_box(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_17HexOrderParameter_3box_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_17HexOrderParameter_num_particles(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_17HexOrderParameter_13num_particles_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_17HexOrderParameter_K(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_17HexOrderParameter_1K_1__get__(o);
}

static PyMethodDef __pyx_methods_5freud_5order_HexOrderParameter[] = {
  {"compute", (PyCFunction)__pyx_pw_5freud_5order_17HexOrderParameter_5compute, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_17HexOrderParameter_4compute},
  {"getPsi", (PyCFunction)__pyx_pw_5freud_5order_17HexOrderParameter_7getPsi, METH_NOARGS, __pyx_doc_5freud_5order_17HexOrderParameter_6getPsi},
  {"getBox", (PyCFunction)__pyx_pw_5freud_5order_17HexOrderParameter_9getBox, METH_NOARGS, __pyx_doc_5freud_5order_17HexOrderParameter_8getBox},
  {"getNP", (PyCFunction)__pyx_pw_5freud_5order_17HexOrderParameter_11getNP, METH_NOARGS, __pyx_doc_5freud_5order_17HexOrderParameter_10getNP},
  {"getK", (PyCFunction)__pyx_pw_5freud_5order_17HexOrderParameter_13getK, METH_NOARGS, __pyx_doc_5freud_5order_17HexOrderParameter_12getK},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5freud_5order_17HexOrderParameter_15__reduce_cython__, METH_NOARGS, __pyx_doc_5freud_5order_17HexOrderParameter_14__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5freud_5order_17HexOrderParameter_17__setstate_cython__, METH_O, __pyx_doc_5freud_5order_17HexOrderParameter_16__setstate_cython__},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5freud_5order_HexOrderParameter[] = {
  {(char *)"psi", __pyx_getprop_5freud_5order_17HexOrderParameter_psi, 0, (char *)0, 0},
  {(char *)"box", __pyx_getprop_5freud_5order_17HexOrderParameter_box, 0, (char *)0, 0},
  {(char *)"num_particles", __pyx_getprop_5freud_5order_17HexOrderParameter_num_particles, 0, (char *)0, 0},
  {(char *)"K", __pyx_getprop_5freud_5order_17HexOrderParameter_K, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5freud_5order_HexOrderParameter = {
  PyVarObject_HEAD_INIT(0, 0)
  "freud.order.HexOrderParameter", /*tp_name*/
  sizeof(struct __pyx_obj_5freud_5order_HexOrderParameter), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5freud_5order_HexOrderParameter, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "Calculates the :math:`k`-atic order parameter for each particle in the\n    system.\n\n    The :math:`k`-atic order parameter for a particle :math:`i` and its\n    :math:`n` neighbors :math:`j` is given by:\n\n    :math:`\\psi_k \\left( i \\right) = \\frac{1}{n}\n    \\sum_j^n e^{k i \\phi_{ij}}`\n\n    The parameter :math:`k` governs the symmetry of the order parameter while\n    the parameter :math:`n` governs the number of neighbors of particle\n    :math:`i` to average over. :math:`\\phi_{ij}` is the angle between the\n    vector :math:`r_{ij}` and :math:`\\left( 1,0 \\right)`.\n\n    .. note::\n        **2D:** :class:`freud.order.HexOrderParameter` properly handles 2D\n        boxes. The points must be passed in as :code:`[x, y, 0]`. Failing to\n        set z=0 will lead to undefined behavior.\n\n    .. moduleauthor:: Eric Harper <harperic@umich.edu>\n\n    Args:\n        rmax (float):\n            +/- r distance to search for neighbors.\n        k (unsigned int):\n            Symmetry of order parameter (:math:`k=6` is hexatic).\n        n (unsigned int):\n            Number of neighbors (:math:`n=k` if :math:`n` not specified).\n\n    Attributes:\n        psi (:math:`\\left(N_{particles} \\right)` :class:`numpy.ndarray`):\n            Order parameter.\n        box (:class:`freud.box.Box`):\n            Box used in the calculation.\n        num_particles (unsigned int):\n            Number of particles.\n        K (unsigned int):\n            Symmetry of the order parameter.\n    ", /*tp_doc*/
  __pyx_tp_traverse_5freud_5order_HexOrderParameter, /*tp_traverse*/
  __pyx_tp_clear_5freud_5order_HexOrderParameter, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5freud_5order_HexOrderParameter, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5freud_5order_HexOrderParameter, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5freud_5order_HexOrderParameter, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_5freud_5order_TransOrderParameter(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_5freud_5order_TransOrderParameter *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5freud_5order_TransOrderParameter *)o);
  p->num_neigh = Py_None; Py_INCREF(Py_None);
  p->rmax = Py_None; Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_5freud_5order_19TransOrderParameter_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_5freud_5order_TransOrderParameter(PyObject *o) {
  struct __pyx_obj_5freud_5order_TransOrderParameter *p = (struct __pyx_obj_5freud_5order_TransOrderParameter *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_pw_5freud_5order_19TransOrderParameter_3__dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->num_neigh);
  Py_CLEAR(p->rmax);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_5freud_5order_TransOrderParameter(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5freud_5order_TransOrderParameter *p = (struct __pyx_obj_5freud_5order_TransOrderParameter *)o;
  if (p->num_neigh) {
    e = (*v)(p->num_neigh, a); if (e) return e;
  }
  if (p->rmax) {
    e = (*v)(p->rmax, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5freud_5order_TransOrderParameter(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5freud_5order_TransOrderParameter *p = (struct __pyx_obj_5freud_5order_TransOrderParameter *)o;
  tmp = ((PyObject*)p->num_neigh);
  p->num_neigh = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->rmax);
  p->rmax = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_5freud_5order_19TransOrderParameter_d_r(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_19TransOrderParameter_3d_r_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_19TransOrderParameter_box(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_19TransOrderParameter_3box_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_19TransOrderParameter_num_particles(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_19TransOrderParameter_13num_particles_1__get__(o);
}

static PyMethodDef __pyx_methods_5freud_5order_TransOrderParameter[] = {
  {"compute", (PyCFunction)__pyx_pw_5freud_5order_19TransOrderParameter_5compute, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_19TransOrderParameter_4compute},
  {"getDr", (PyCFunction)__pyx_pw_5freud_5order_19TransOrderParameter_7getDr, METH_NOARGS, __pyx_doc_5freud_5order_19TransOrderParameter_6getDr},
  {"getBox", (PyCFunction)__pyx_pw_5freud_5order_19TransOrderParameter_9getBox, METH_NOARGS, __pyx_doc_5freud_5order_19TransOrderParameter_8getBox},
  {"getNP", (PyCFunction)__pyx_pw_5freud_5order_19TransOrderParameter_11getNP, METH_NOARGS, __pyx_doc_5freud_5order_19TransOrderParameter_10getNP},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5freud_5order_19TransOrderParameter_13__reduce_cython__, METH_NOARGS, __pyx_doc_5freud_5order_19TransOrderParameter_12__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5freud_5order_19TransOrderParameter_15__setstate_cython__, METH_O, __pyx_doc_5freud_5order_19TransOrderParameter_14__setstate_cython__},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5freud_5order_TransOrderParameter[] = {
  {(char *)"d_r", __pyx_getprop_5freud_5order_19TransOrderParameter_d_r, 0, (char *)0, 0},
  {(char *)"box", __pyx_getprop_5freud_5order_19TransOrderParameter_box, 0, (char *)0, 0},
  {(char *)"num_particles", __pyx_getprop_5freud_5order_19TransOrderParameter_num_particles, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5freud_5order_TransOrderParameter = {
  PyVarObject_HEAD_INIT(0, 0)
  "freud.order.TransOrderParameter", /*tp_name*/
  sizeof(struct __pyx_obj_5freud_5order_TransOrderParameter), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5freud_5order_TransOrderParameter, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "Compute the translational order parameter for each particle.\n\n    .. moduleauthor:: Wenbo Shen <shenwb@umich.edu>\n\n    Args:\n        rmax (float):\n            +/- r distance to search for neighbors.\n        k (float):\n            Symmetry of order parameter (:math:`k=6` is hexatic).\n        n (unsigned int):\n            Number of neighbors (:math:`n=k` if :math:`n` not specified).\n\n    Attributes:\n        d_r (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            Reference to the last computed translational order array.\n        box (:class:`freud.box.Box`):\n            Box used in the calculation.\n        num_particles (unsigned int):\n            Number of particles.\n    ", /*tp_doc*/
  __pyx_tp_traverse_5freud_5order_TransOrderParameter, /*tp_traverse*/
  __pyx_tp_clear_5freud_5order_TransOrderParameter, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5freud_5order_TransOrderParameter, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5freud_5order_TransOrderParameter, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5freud_5order_TransOrderParameter, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_5freud_5order_LocalQl(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_5freud_5order_LocalQl *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5freud_5order_LocalQl *)o);
  p->m_box = ((struct __pyx_obj_5freud_3box_Box *)Py_None); Py_INCREF(Py_None);
  p->rmax = Py_None; Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_5freud_5order_7LocalQl_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_5freud_5order_LocalQl(PyObject *o) {
  struct __pyx_obj_5freud_5order_LocalQl *p = (struct __pyx_obj_5freud_5order_LocalQl *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_pw_5freud_5order_7LocalQl_3__dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->m_box);
  Py_CLEAR(p->rmax);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_5freud_5order_LocalQl(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5freud_5order_LocalQl *p = (struct __pyx_obj_5freud_5order_LocalQl *)o;
  if (p->m_box) {
    e = (*v)(((PyObject *)p->m_box), a); if (e) return e;
  }
  if (p->rmax) {
    e = (*v)(p->rmax, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5freud_5order_LocalQl(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5freud_5order_LocalQl *p = (struct __pyx_obj_5freud_5order_LocalQl *)o;
  tmp = ((PyObject*)p->m_box);
  p->m_box = ((struct __pyx_obj_5freud_3box_Box *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->rmax);
  p->rmax = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_5freud_5order_7LocalQl_box(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_7LocalQl_3box_1__get__(o);
}

static int __pyx_setprop_5freud_5order_7LocalQl_box(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5freud_5order_7LocalQl_3box_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5freud_5order_7LocalQl_num_particles(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_7LocalQl_13num_particles_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_7LocalQl_Ql(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_7LocalQl_2Ql_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_7LocalQl_ave_Ql(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_7LocalQl_6ave_Ql_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_7LocalQl_norm_Ql(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_7LocalQl_7norm_Ql_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_7LocalQl_ave_norm_Ql(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_7LocalQl_11ave_norm_Ql_1__get__(o);
}

static PyMethodDef __pyx_methods_5freud_5order_LocalQl[] = {
  {"getBox", (PyCFunction)__pyx_pw_5freud_5order_7LocalQl_5getBox, METH_NOARGS, __pyx_doc_5freud_5order_7LocalQl_4getBox},
  {"setBox", (PyCFunction)__pyx_pw_5freud_5order_7LocalQl_7setBox, METH_O, __pyx_doc_5freud_5order_7LocalQl_6setBox},
  {"getNP", (PyCFunction)__pyx_pw_5freud_5order_7LocalQl_9getNP, METH_NOARGS, __pyx_doc_5freud_5order_7LocalQl_8getNP},
  {"getQl", (PyCFunction)__pyx_pw_5freud_5order_7LocalQl_11getQl, METH_NOARGS, __pyx_doc_5freud_5order_7LocalQl_10getQl},
  {"getAveQl", (PyCFunction)__pyx_pw_5freud_5order_7LocalQl_13getAveQl, METH_NOARGS, __pyx_doc_5freud_5order_7LocalQl_12getAveQl},
  {"getQlNorm", (PyCFunction)__pyx_pw_5freud_5order_7LocalQl_15getQlNorm, METH_NOARGS, __pyx_doc_5freud_5order_7LocalQl_14getQlNorm},
  {"getQlAveNorm", (PyCFunction)__pyx_pw_5freud_5order_7LocalQl_17getQlAveNorm, METH_NOARGS, __pyx_doc_5freud_5order_7LocalQl_16getQlAveNorm},
  {"compute", (PyCFunction)__pyx_pw_5freud_5order_7LocalQl_19compute, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_7LocalQl_18compute},
  {"computeAve", (PyCFunction)__pyx_pw_5freud_5order_7LocalQl_21computeAve, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_7LocalQl_20computeAve},
  {"computeNorm", (PyCFunction)__pyx_pw_5freud_5order_7LocalQl_23computeNorm, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_7LocalQl_22computeNorm},
  {"computeAveNorm", (PyCFunction)__pyx_pw_5freud_5order_7LocalQl_25computeAveNorm, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_7LocalQl_24computeAveNorm},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5freud_5order_7LocalQl_27__reduce_cython__, METH_NOARGS, __pyx_doc_5freud_5order_7LocalQl_26__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5freud_5order_7LocalQl_29__setstate_cython__, METH_O, __pyx_doc_5freud_5order_7LocalQl_28__setstate_cython__},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5freud_5order_LocalQl[] = {
  {(char *)"box", __pyx_getprop_5freud_5order_7LocalQl_box, __pyx_setprop_5freud_5order_7LocalQl_box, (char *)0, 0},
  {(char *)"num_particles", __pyx_getprop_5freud_5order_7LocalQl_num_particles, 0, (char *)0, 0},
  {(char *)"Ql", __pyx_getprop_5freud_5order_7LocalQl_Ql, 0, (char *)0, 0},
  {(char *)"ave_Ql", __pyx_getprop_5freud_5order_7LocalQl_ave_Ql, 0, (char *)0, 0},
  {(char *)"norm_Ql", __pyx_getprop_5freud_5order_7LocalQl_norm_Ql, 0, (char *)0, 0},
  {(char *)"ave_norm_Ql", __pyx_getprop_5freud_5order_7LocalQl_ave_norm_Ql, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5freud_5order_LocalQl = {
  PyVarObject_HEAD_INIT(0, 0)
  "freud.order.LocalQl", /*tp_name*/
  sizeof(struct __pyx_obj_5freud_5order_LocalQl), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5freud_5order_LocalQl, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "Compute the local Steinhardt [Steinhardt1983]_ rotationally invariant\n    :math:`Q_l` order parameter for a set of points.\n\n    Implements the local rotationally invariant :math:`Q_l` order parameter\n    described by Steinhardt. For a particle i, we calculate the average\n    :math:`Q_l` by summing the spherical harmonics between particle :math:`i`\n    and its neighbors :math:`j` in a local region:\n    :math:`\\overline{Q}_{lm}(i) = \\frac{1}{N_b}\n    \\displaystyle\\sum_{j=1}^{N_b} Y_{lm}(\\theta(\\vec{r}_{ij}),\n    \\phi(\\vec{r}_{ij}))`. The particles included in the sum are determined\n    by the rmax argument to the constructor.\n\n    This is then combined in a rotationally invariant fashion to remove local\n    orientational order as follows: :math:`Q_l(i)=\\sqrt{\\frac{4\\pi}{2l+1}\n    \\displaystyle\\sum_{m=-l}^{l} |\\overline{Q}_{lm}|^2 }`.\n\n    The :meth:`~computeAve` method provides access to a variant of this\n    parameter that performs a average over the first and second shell combined\n    [Lechner2008]_. To compute this parameter, we perform a second averaging\n    over the first neighbor shell of the particle to implicitly include\n    information about the second neighbor shell. This averaging is performed by\n    replacing the value :math:`\\overline{Q}_{lm}(i)` in the original\n    definition by the average value of :math:`\\overline{Q}_{lm}(k)` over all\n    the :math:`k` neighbors of particle :math:`i` as well as itself.\n\n    The :meth:`~computeNorm` and :meth:`~computeAveNorm` methods provide\n    normalized versions of :meth:`~compute` and :meth:`~computeAve`,\n    where the normalization is performed by dividing by the average\n    :math:`Q_{lm}` values over all particles.\n\n    .. moduleauthor:: Xiyu Du <xiyudu@umich.edu>\n    .. moduleauthor:: Vyas Ramasubramani <vramasub@umich.edu>\n\n    Args:\n        box (:class:`freud.box.Box`):\n            Simulation box.\n        rmax (float):\n            Cutoff radius for the local"" order parameter. Values near the first\n            minimum of the RDF are recommended.\n        l (unsigned int):\n            Spherical harmonic quantum number l. Must be a positive number.\n        rmin (float):\n            Can look at only the second shell or some arbitrary RDF region.\n\n    Attributes:\n        box (:class:`freud.box.Box`):\n            Box used in the calculation.\n        num_particles (unsigned int):\n            Number of particles.\n        Ql (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`Q_l` for each particle (filled with NaN\n            for particles with no neighbors).\n        ave_Ql (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`\\bar{Q_l}` for each particle (filled with\n            NaN for particles with no neighbors).\n        norm_Ql (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`Q_l` for each particle normalized by the\n            value over all particles (filled with NaN for particles with no\n            neighbors).\n        ave_norm_Ql (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`\\bar{Q_l}` for each particle normalized\n            by the value over all particles (filled with NaN for particles with\n            no neighbors).\n\n    .. todo:: move box to compute, this is old API\n    ", /*tp_doc*/
  __pyx_tp_traverse_5freud_5order_LocalQl, /*tp_traverse*/
  __pyx_tp_clear_5freud_5order_LocalQl, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5freud_5order_LocalQl, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5freud_5order_LocalQl, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5freud_5order_LocalQl, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_5freud_5order_LocalQlNear(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_5freud_5order_LocalQlNear *p;
  PyObject *o = __pyx_tp_new_5freud_5order_LocalQl(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5freud_5order_LocalQlNear *)o);
  p->num_neigh = Py_None; Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_5freud_5order_11LocalQlNear_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_5freud_5order_LocalQlNear(PyObject *o) {
  struct __pyx_obj_5freud_5order_LocalQlNear *p = (struct __pyx_obj_5freud_5order_LocalQlNear *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_pw_5freud_5order_11LocalQlNear_3__dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->num_neigh);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_5freud_5order_LocalQl(o);
}

static int __pyx_tp_traverse_5freud_5order_LocalQlNear(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5freud_5order_LocalQlNear *p = (struct __pyx_obj_5freud_5order_LocalQlNear *)o;
  e = __pyx_tp_traverse_5freud_5order_LocalQl(o, v, a); if (e) return e;
  if (p->num_neigh) {
    e = (*v)(p->num_neigh, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5freud_5order_LocalQlNear(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5freud_5order_LocalQlNear *p = (struct __pyx_obj_5freud_5order_LocalQlNear *)o;
  __pyx_tp_clear_5freud_5order_LocalQl(o);
  tmp = ((PyObject*)p->num_neigh);
  p->num_neigh = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_5freud_5order_LocalQlNear[] = {
  {"computeAve", (PyCFunction)__pyx_pw_5freud_5order_11LocalQlNear_5computeAve, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_11LocalQlNear_4computeAve},
  {"computeNorm", (PyCFunction)__pyx_pw_5freud_5order_11LocalQlNear_7computeNorm, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_11LocalQlNear_6computeNorm},
  {"computeAveNorm", (PyCFunction)__pyx_pw_5freud_5order_11LocalQlNear_9computeAveNorm, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_11LocalQlNear_8computeAveNorm},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5freud_5order_11LocalQlNear_11__reduce_cython__, METH_NOARGS, __pyx_doc_5freud_5order_11LocalQlNear_10__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5freud_5order_11LocalQlNear_13__setstate_cython__, METH_O, __pyx_doc_5freud_5order_11LocalQlNear_12__setstate_cython__},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5freud_5order_LocalQlNear = {
  PyVarObject_HEAD_INIT(0, 0)
  "freud.order.LocalQlNear", /*tp_name*/
  sizeof(struct __pyx_obj_5freud_5order_LocalQlNear), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5freud_5order_LocalQlNear, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "A variant of the :class:`~LocalQl` class that performs its average\n    over nearest neighbor particles as determined by an instance of\n    :class:`freud.locality.NeighborList`. The number of included neighbors\n    is determined by the kn parameter to the constructor.\n\n    .. moduleauthor:: Xiyu Du <xiyudu@umich.edu>\n    .. moduleauthor:: Vyas Ramasubramani <vramasub@umich.edu>\n\n    Args:\n        box (:class:`freud.box.Box`):\n            Simulation box.\n        rmax (float):\n            Cutoff radius for the local order parameter. Values near the first\n            minimum of the RDF are recommended.\n        l (unsigned int):\n            Spherical harmonic quantum number l. Must be a positive number.\n        kn (unsigned int):\n            Number of nearest neighbors. must be a positive integer.\n\n    Attributes:\n        box (:class:`freud.box.Box`):\n            Box used in the calculation.\n        num_particles (unsigned int):\n            Number of particles.\n        Ql (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`Q_l` for each particle (filled with NaN\n            for particles with no neighbors).\n        ave_Ql (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`\\bar{Q_l}` for each particle (filled with\n            NaN for particles with no neighbors).\n        norm_Ql (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`Q_l` for each particle normalized by the\n            value over all particles (filled with NaN for particles with no\n            neighbors).\n        ave_norm_Ql (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`\\bar{Q_l}` for each particle normalized\n            by the value over all particles (filled with NaN for particles with\n            no neighbors).\n\n    .. todo:: move box to compute, this is old API\n    ", /*tp_doc*/
  __pyx_tp_traverse_5freud_5order_LocalQlNear, /*tp_traverse*/
  __pyx_tp_clear_5freud_5order_LocalQlNear, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5freud_5order_LocalQlNear, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5freud_5order_LocalQlNear, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_5freud_5order_LocalWl(PyTypeObject *t, PyObject *a, PyObject *k) {
  PyObject *o = __pyx_tp_new_5freud_5order_LocalQl(t, a, k);
  if (unlikely(!o)) return 0;
  if (unlikely(__pyx_pw_5freud_5order_7LocalWl_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_5freud_5order_LocalWl(PyObject *o) {
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_pw_5freud_5order_7LocalWl_3__dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_5freud_5order_LocalQl(o);
}

static PyObject *__pyx_tp_getattro_5freud_5order_LocalWl(PyObject *o, PyObject *n) {
  PyObject *v = __pyx_pw_5freud_5order_7LocalWl_5__getattribute__(o, n);
  return v;
}

static PyObject *__pyx_getprop_5freud_5order_7LocalWl_Wl(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_7LocalWl_2Wl_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_7LocalWl_ave_Wl(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_7LocalWl_6ave_Wl_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_7LocalWl_norm_Wl(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_7LocalWl_7norm_Wl_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_7LocalWl_ave_norm_Wl(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_7LocalWl_11ave_norm_Wl_1__get__(o);
}

static PyMethodDef __pyx_methods_5freud_5order_LocalWl[] = {
  {"__dir__", (PyCFunction)__pyx_pw_5freud_5order_7LocalWl_7__dir__, METH_NOARGS, __pyx_doc_5freud_5order_7LocalWl_6__dir__},
  {"getWl", (PyCFunction)__pyx_pw_5freud_5order_7LocalWl_9getWl, METH_NOARGS, __pyx_doc_5freud_5order_7LocalWl_8getWl},
  {"getAveWl", (PyCFunction)__pyx_pw_5freud_5order_7LocalWl_11getAveWl, METH_NOARGS, __pyx_doc_5freud_5order_7LocalWl_10getAveWl},
  {"getWlNorm", (PyCFunction)__pyx_pw_5freud_5order_7LocalWl_13getWlNorm, METH_NOARGS, __pyx_doc_5freud_5order_7LocalWl_12getWlNorm},
  {"getWlAveNorm", (PyCFunction)__pyx_pw_5freud_5order_7LocalWl_15getWlAveNorm, METH_NOARGS, __pyx_doc_5freud_5order_7LocalWl_14getWlAveNorm},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5freud_5order_7LocalWl_17__reduce_cython__, METH_NOARGS, __pyx_doc_5freud_5order_7LocalWl_16__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5freud_5order_7LocalWl_19__setstate_cython__, METH_O, __pyx_doc_5freud_5order_7LocalWl_18__setstate_cython__},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5freud_5order_LocalWl[] = {
  {(char *)"Wl", __pyx_getprop_5freud_5order_7LocalWl_Wl, 0, (char *)0, 0},
  {(char *)"ave_Wl", __pyx_getprop_5freud_5order_7LocalWl_ave_Wl, 0, (char *)0, 0},
  {(char *)"norm_Wl", __pyx_getprop_5freud_5order_7LocalWl_norm_Wl, 0, (char *)0, 0},
  {(char *)"ave_norm_Wl", __pyx_getprop_5freud_5order_7LocalWl_ave_norm_Wl, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5freud_5order_LocalWl = {
  PyVarObject_HEAD_INIT(0, 0)
  "freud.order.LocalWl", /*tp_name*/
  sizeof(struct __pyx_obj_5freud_5order_LocalWl), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5freud_5order_LocalWl, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  __pyx_tp_getattro_5freud_5order_LocalWl, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "Compute the local Steinhardt [Steinhardt1983]_ rotationally invariant\n    :math:`W_l` order parameter for a set of points.\n\n    Implements the local rotationally invariant :math:`W_l` order parameter\n    described by Steinhardt. For a particle i, we calculate the average\n    :math:`W_l` by summing the spherical harmonics between particle :math:`i`\n    and its neighbors :math:`j` in a local region:\n    :math:`\\overline{Q}_{lm}(i) = \\frac{1}{N_b}\n    \\displaystyle\\sum_{j=1}^{N_b} Y_{lm}(\\theta(\\vec{r}_{ij}),\n    \\phi(\\vec{r}_{ij}))`. The particles included in the sum are determined\n    by the rmax argument to the constructor.\n\n    The :math:`W_l` is then defined as a weighted average over the\n    :math:`\\overline{Q}_{lm}(i)` values using Wigner 3j symbols\n    (Clebsch-Gordan coefficients). The resulting combination is rotationally\n    (i.e. frame) invariant.\n\n    The :meth:`~computeAve` method provides access to a variant of this\n    parameter that performs a average over the first and second shell combined\n    [Lechner2008]_. To compute this parameter, we perform a second averaging\n    over the first neighbor shell of the particle to implicitly include\n    information about the second neighbor shell. This averaging is performed by\n    replacing the value :math:`\\overline{Q}_{lm}(i)` in the original\n    definition by the average value of :math:`\\overline{Q}_{lm}(k)` over all\n    the :math:`k` neighbors of particle :math:`i` as well as itself.\n\n    The :meth:`~computeNorm` and :meth:`~computeAveNorm` methods provide\n    normalized versions of :meth:`~compute` and :meth:`~computeAve`,\n    where the normalization is performed by dividing by the average\n    :math:`Q_{lm}` values over all particles.\n\n    .. moduleauthor:: Xiyu Du <xiyudu@umich.edu>\n    .. moduleauthor:: Vyas Ramasubramani <vramasub@umich.edu>\n\n    Args:\n        box (:class:`freud.box.Box`):\n            Simulation box.\n        rmax (float):\n            Cutoff"" radius for the local order parameter. Values near the first\n            minimum of the RDF are recommended.\n        l (unsigned int):\n            Spherical harmonic quantum number l. Must be a positive number\n        rmin (float):\n            Lower bound for computing the local order parameter. Allows looking\n            at, for instance, only the second shell, or some other arbitrary\n            RDF region.\n\n    Attributes:\n        box (:class:`freud.box.Box`):\n            Box used in the calculation.\n        num_particles (unsigned int):\n            Number of particles.\n        Wl (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`W_l` for each particle (filled with NaN\n            for particles with no neighbors).\n        ave_Wl (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`\\bar{W}_l` for each particle (filled with\n            NaN for particles with no neighbors).\n        norm_Wl (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`W_l` for each particle normalized by the\n            value over all particles (filled with NaN for particles with no\n            neighbors).\n        ave_norm_Wl (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`\\bar{W}_l` for each particle normalized\n            by the value over all particles (filled with NaN for particles with\n            no neighbors).\n\n    .. todo:: move box to compute, this is old API\n    ", /*tp_doc*/
  __pyx_tp_traverse_5freud_5order_LocalQl, /*tp_traverse*/
  __pyx_tp_clear_5freud_5order_LocalQl, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5freud_5order_LocalWl, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5freud_5order_LocalWl, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5freud_5order_LocalWl, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_5freud_5order_LocalWlNear(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_5freud_5order_LocalWlNear *p;
  PyObject *o = __pyx_tp_new_5freud_5order_LocalWl(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5freud_5order_LocalWlNear *)o);
  p->num_neigh = Py_None; Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_5freud_5order_11LocalWlNear_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_5freud_5order_LocalWlNear(PyObject *o) {
  struct __pyx_obj_5freud_5order_LocalWlNear *p = (struct __pyx_obj_5freud_5order_LocalWlNear *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_pw_5freud_5order_11LocalWlNear_3__dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->num_neigh);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_5freud_5order_LocalWl(o);
}

static int __pyx_tp_traverse_5freud_5order_LocalWlNear(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5freud_5order_LocalWlNear *p = (struct __pyx_obj_5freud_5order_LocalWlNear *)o;
  e = __pyx_tp_traverse_5freud_5order_LocalQl(o, v, a); if (e) return e;
  if (p->num_neigh) {
    e = (*v)(p->num_neigh, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5freud_5order_LocalWlNear(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5freud_5order_LocalWlNear *p = (struct __pyx_obj_5freud_5order_LocalWlNear *)o;
  __pyx_tp_clear_5freud_5order_LocalQl(o);
  tmp = ((PyObject*)p->num_neigh);
  p->num_neigh = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_5freud_5order_LocalWlNear[] = {
  {"computeAve", (PyCFunction)__pyx_pw_5freud_5order_11LocalWlNear_5computeAve, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_11LocalWlNear_4computeAve},
  {"computeNorm", (PyCFunction)__pyx_pw_5freud_5order_11LocalWlNear_7computeNorm, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_11LocalWlNear_6computeNorm},
  {"computeAveNorm", (PyCFunction)__pyx_pw_5freud_5order_11LocalWlNear_9computeAveNorm, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_11LocalWlNear_8computeAveNorm},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5freud_5order_11LocalWlNear_11__reduce_cython__, METH_NOARGS, __pyx_doc_5freud_5order_11LocalWlNear_10__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5freud_5order_11LocalWlNear_13__setstate_cython__, METH_O, __pyx_doc_5freud_5order_11LocalWlNear_12__setstate_cython__},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5freud_5order_LocalWlNear = {
  PyVarObject_HEAD_INIT(0, 0)
  "freud.order.LocalWlNear", /*tp_name*/
  sizeof(struct __pyx_obj_5freud_5order_LocalWlNear), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5freud_5order_LocalWlNear, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "A variant of the :class:`~LocalWl` class that performs its average\n    over nearest neighbor particles as determined by an instance of\n    :class:`freud.locality.NeighborList`. The number of included neighbors\n    is determined by the kn parameter to the constructor.\n\n    .. moduleauthor:: Xiyu Du <xiyudu@umich.edu>\n    .. moduleauthor:: Vyas Ramasubramani <vramasub@umich.edu>\n\n    Args:\n        box (:class:`freud.box.Box`):\n            Simulation box.\n        rmax (float):\n            Cutoff radius for the local order parameter. Values near the first\n            minimum of the RDF are recommended.\n        l (unsigned int):\n            Spherical harmonic quantum number l. Must be a positive number\n        kn (unsigned int):\n            Number of nearest neighbors. Must be a positive number.\n\n\n    Attributes:\n        box (:class:`freud.box.Box`):\n            Box used in the calculation.\n        num_particles (unsigned int):\n            Number of particles.\n        Wl (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`W_l` for each particle (filled with NaN\n            for particles with no neighbors).\n        ave_Wl (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`\\bar{W}_l` for each particle (filled with\n            NaN for particles with no neighbors).\n        norm_Wl (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`W_l` for each particle normalized by the\n            value over all particles (filled with NaN for particles with no\n            neighbors).\n        ave_norm_Wl (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`\\bar{W}_l` for each particle normalized\n            by the value over all particles (filled with NaN for particles with\n            no neighbors).\n\n    .. todo:: move box to compute, this is old API\n    ", /*tp_doc*/
  __pyx_tp_traverse_5freud_5order_LocalWlNear, /*tp_traverse*/
  __pyx_tp_clear_5freud_5order_LocalWlNear, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5freud_5order_LocalWlNear, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5freud_5order_LocalWlNear, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_5freud_5order_SolLiq(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_5freud_5order_SolLiq *p;
  PyObject *o;
  if (likely((t->tp_flags & Py_TPFLAGS_IS_ABSTRACT) == 0)) {
    o = (*t->tp_alloc)(t, 0);
  } else {
    o = (PyObject *) PyBaseObject_Type.tp_new(t, __pyx_empty_tuple, 0);
  }
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5freud_5order_SolLiq *)o);
  p->m_box = ((struct __pyx_obj_5freud_3box_Box *)Py_None); Py_INCREF(Py_None);
  p->rmax = Py_None; Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_5freud_5order_6SolLiq_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_5freud_5order_SolLiq(PyObject *o) {
  struct __pyx_obj_5freud_5order_SolLiq *p = (struct __pyx_obj_5freud_5order_SolLiq *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_pw_5freud_5order_6SolLiq_3__dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->m_box);
  Py_CLEAR(p->rmax);
  (*Py_TYPE(o)->tp_free)(o);
}

static int __pyx_tp_traverse_5freud_5order_SolLiq(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5freud_5order_SolLiq *p = (struct __pyx_obj_5freud_5order_SolLiq *)o;
  if (p->m_box) {
    e = (*v)(((PyObject *)p->m_box), a); if (e) return e;
  }
  if (p->rmax) {
    e = (*v)(p->rmax, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5freud_5order_SolLiq(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5freud_5order_SolLiq *p = (struct __pyx_obj_5freud_5order_SolLiq *)o;
  tmp = ((PyObject*)p->m_box);
  p->m_box = ((struct __pyx_obj_5freud_3box_Box *)Py_None); Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  tmp = ((PyObject*)p->rmax);
  p->rmax = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyObject *__pyx_getprop_5freud_5order_6SolLiq_box(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_6SolLiq_3box_1__get__(o);
}

static int __pyx_setprop_5freud_5order_6SolLiq_box(PyObject *o, PyObject *v, CYTHON_UNUSED void *x) {
  if (v) {
    return __pyx_pw_5freud_5order_6SolLiq_3box_3__set__(o, v);
  }
  else {
    PyErr_SetString(PyExc_NotImplementedError, "__del__");
    return -1;
  }
}

static PyObject *__pyx_getprop_5freud_5order_6SolLiq_largest_cluster_size(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_6SolLiq_20largest_cluster_size_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_6SolLiq_cluster_sizes(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_6SolLiq_13cluster_sizes_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_6SolLiq_Ql_mi(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_6SolLiq_5Ql_mi_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_6SolLiq_clusters(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_6SolLiq_8clusters_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_6SolLiq_num_connections(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_6SolLiq_15num_connections_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_6SolLiq_Ql_dot_ij(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_6SolLiq_9Ql_dot_ij_1__get__(o);
}

static PyObject *__pyx_getprop_5freud_5order_6SolLiq_num_particles(PyObject *o, CYTHON_UNUSED void *x) {
  return __pyx_pw_5freud_5order_6SolLiq_13num_particles_1__get__(o);
}

static PyMethodDef __pyx_methods_5freud_5order_SolLiq[] = {
  {"compute", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_5compute, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_6SolLiq_4compute},
  {"computeSolLiqVariant", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_7computeSolLiqVariant, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_6SolLiq_6computeSolLiqVariant},
  {"computeSolLiqNoNorm", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_9computeSolLiqNoNorm, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_6SolLiq_8computeSolLiqNoNorm},
  {"getBox", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_11getBox, METH_NOARGS, __pyx_doc_5freud_5order_6SolLiq_10getBox},
  {"setClusteringRadius", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_13setClusteringRadius, METH_O, __pyx_doc_5freud_5order_6SolLiq_12setClusteringRadius},
  {"setBox", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_15setBox, METH_O, __pyx_doc_5freud_5order_6SolLiq_14setBox},
  {"getLargestClusterSize", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_17getLargestClusterSize, METH_NOARGS, __pyx_doc_5freud_5order_6SolLiq_16getLargestClusterSize},
  {"getClusterSizes", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_19getClusterSizes, METH_NOARGS, __pyx_doc_5freud_5order_6SolLiq_18getClusterSizes},
  {"getQlmi", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_21getQlmi, METH_NOARGS, __pyx_doc_5freud_5order_6SolLiq_20getQlmi},
  {"getClusters", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_23getClusters, METH_NOARGS, __pyx_doc_5freud_5order_6SolLiq_22getClusters},
  {"getNumberOfConnections", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_25getNumberOfConnections, METH_NOARGS, __pyx_doc_5freud_5order_6SolLiq_24getNumberOfConnections},
  {"getQldot_ij", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_27getQldot_ij, METH_NOARGS, __pyx_doc_5freud_5order_6SolLiq_26getQldot_ij},
  {"getNP", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_29getNP, METH_NOARGS, __pyx_doc_5freud_5order_6SolLiq_28getNP},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_31__reduce_cython__, METH_NOARGS, __pyx_doc_5freud_5order_6SolLiq_30__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5freud_5order_6SolLiq_33__setstate_cython__, METH_O, __pyx_doc_5freud_5order_6SolLiq_32__setstate_cython__},
  {0, 0, 0, 0}
};

static struct PyGetSetDef __pyx_getsets_5freud_5order_SolLiq[] = {
  {(char *)"box", __pyx_getprop_5freud_5order_6SolLiq_box, __pyx_setprop_5freud_5order_6SolLiq_box, (char *)0, 0},
  {(char *)"largest_cluster_size", __pyx_getprop_5freud_5order_6SolLiq_largest_cluster_size, 0, (char *)0, 0},
  {(char *)"cluster_sizes", __pyx_getprop_5freud_5order_6SolLiq_cluster_sizes, 0, (char *)0, 0},
  {(char *)"Ql_mi", __pyx_getprop_5freud_5order_6SolLiq_Ql_mi, 0, (char *)0, 0},
  {(char *)"clusters", __pyx_getprop_5freud_5order_6SolLiq_clusters, 0, (char *)0, 0},
  {(char *)"num_connections", __pyx_getprop_5freud_5order_6SolLiq_num_connections, 0, (char *)0, 0},
  {(char *)"Ql_dot_ij", __pyx_getprop_5freud_5order_6SolLiq_Ql_dot_ij, 0, (char *)0, 0},
  {(char *)"num_particles", __pyx_getprop_5freud_5order_6SolLiq_num_particles, 0, (char *)0, 0},
  {0, 0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5freud_5order_SolLiq = {
  PyVarObject_HEAD_INIT(0, 0)
  "freud.order.SolLiq", /*tp_name*/
  sizeof(struct __pyx_obj_5freud_5order_SolLiq), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5freud_5order_SolLiq, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "Uses dot products of :math:`Q_{lm}` between particles for clustering.\n\n    .. moduleauthor:: Richmond Newman <newmanrs@umich.edu>\n\n    Args:\n        box (:class:`freud.box.Box`):\n            Simulation box.\n        rmax (float):\n            Cutoff radius for the local order parameter. Values near first\n            minimum of the RDF are recommended.\n        Qthreshold (float):\n            Value of dot product threshold when evaluating\n            :math:`Q_{lm}^*(i) Q_{lm}(j)` to determine if a neighbor pair is a\n            solid-like bond. (For :math:`l=6`, 0.7 generally good for FCC or\n            BCC structures).\n        Sthreshold (unsigned int):\n            Minimum required number of adjacent solid-link bonds for a particle\n            to be considered solid-like for clustering. (For :math:`l=6`, 6-8\n            is generally good for FCC or BCC structures).\n        l (unsigned int):\n            Choose spherical harmonic :math:`Q_l`. Must be positive and even.\n\n    Attributes:\n        box (:class:`freud.box.Box`):\n            Box used in the calculation.\n        largest_cluster_size (unsigned int):\n            The largest cluster size. Must call a compute method first.\n        cluster_sizes (unsigned int):\n            The sizes of all clusters.\n        largest_cluster_size (unsigned int):\n            The largest cluster size. Must call a compute method first.\n        Ql_mi (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`Q_{lmi}` for each particle.\n        clusters (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed set of solid-like cluster indices for each\n            particle.\n        num_connections (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The number of connections per particle.\n        Ql_dot_ij (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            Reference to the qldot_ij ""values.\n        num_particles (unsigned int):\n            Number of particles.\n\n    .. todo:: move box to compute, this is old API\n    ", /*tp_doc*/
  __pyx_tp_traverse_5freud_5order_SolLiq, /*tp_traverse*/
  __pyx_tp_clear_5freud_5order_SolLiq, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5freud_5order_SolLiq, /*tp_methods*/
  0, /*tp_members*/
  __pyx_getsets_5freud_5order_SolLiq, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5freud_5order_SolLiq, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyObject *__pyx_tp_new_5freud_5order_SolLiqNear(PyTypeObject *t, PyObject *a, PyObject *k) {
  struct __pyx_obj_5freud_5order_SolLiqNear *p;
  PyObject *o = __pyx_tp_new_5freud_5order_SolLiq(t, a, k);
  if (unlikely(!o)) return 0;
  p = ((struct __pyx_obj_5freud_5order_SolLiqNear *)o);
  p->num_neigh = Py_None; Py_INCREF(Py_None);
  if (unlikely(__pyx_pw_5freud_5order_10SolLiqNear_1__cinit__(o, a, k) < 0)) goto bad;
  return o;
  bad:
  Py_DECREF(o); o = 0;
  return NULL;
}

static void __pyx_tp_dealloc_5freud_5order_SolLiqNear(PyObject *o) {
  struct __pyx_obj_5freud_5order_SolLiqNear *p = (struct __pyx_obj_5freud_5order_SolLiqNear *)o;
  #if CYTHON_USE_TP_FINALIZE
  if (unlikely(PyType_HasFeature(Py_TYPE(o), Py_TPFLAGS_HAVE_FINALIZE) && Py_TYPE(o)->tp_finalize) && !_PyGC_FINALIZED(o)) {
    if (PyObject_CallFinalizerFromDealloc(o)) return;
  }
  #endif
  PyObject_GC_UnTrack(o);
  {
    PyObject *etype, *eval, *etb;
    PyErr_Fetch(&etype, &eval, &etb);
    ++Py_REFCNT(o);
    __pyx_pw_5freud_5order_10SolLiqNear_3__dealloc__(o);
    --Py_REFCNT(o);
    PyErr_Restore(etype, eval, etb);
  }
  Py_CLEAR(p->num_neigh);
  PyObject_GC_Track(o);
  __pyx_tp_dealloc_5freud_5order_SolLiq(o);
}

static int __pyx_tp_traverse_5freud_5order_SolLiqNear(PyObject *o, visitproc v, void *a) {
  int e;
  struct __pyx_obj_5freud_5order_SolLiqNear *p = (struct __pyx_obj_5freud_5order_SolLiqNear *)o;
  e = __pyx_tp_traverse_5freud_5order_SolLiq(o, v, a); if (e) return e;
  if (p->num_neigh) {
    e = (*v)(p->num_neigh, a); if (e) return e;
  }
  return 0;
}

static int __pyx_tp_clear_5freud_5order_SolLiqNear(PyObject *o) {
  PyObject* tmp;
  struct __pyx_obj_5freud_5order_SolLiqNear *p = (struct __pyx_obj_5freud_5order_SolLiqNear *)o;
  __pyx_tp_clear_5freud_5order_SolLiq(o);
  tmp = ((PyObject*)p->num_neigh);
  p->num_neigh = Py_None; Py_INCREF(Py_None);
  Py_XDECREF(tmp);
  return 0;
}

static PyMethodDef __pyx_methods_5freud_5order_SolLiqNear[] = {
  {"compute", (PyCFunction)__pyx_pw_5freud_5order_10SolLiqNear_5compute, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_10SolLiqNear_4compute},
  {"computeSolLiqVariant", (PyCFunction)__pyx_pw_5freud_5order_10SolLiqNear_7computeSolLiqVariant, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_10SolLiqNear_6computeSolLiqVariant},
  {"computeSolLiqNoNorm", (PyCFunction)__pyx_pw_5freud_5order_10SolLiqNear_9computeSolLiqNoNorm, METH_VARARGS|METH_KEYWORDS, __pyx_doc_5freud_5order_10SolLiqNear_8computeSolLiqNoNorm},
  {"__reduce_cython__", (PyCFunction)__pyx_pw_5freud_5order_10SolLiqNear_11__reduce_cython__, METH_NOARGS, __pyx_doc_5freud_5order_10SolLiqNear_10__reduce_cython__},
  {"__setstate_cython__", (PyCFunction)__pyx_pw_5freud_5order_10SolLiqNear_13__setstate_cython__, METH_O, __pyx_doc_5freud_5order_10SolLiqNear_12__setstate_cython__},
  {0, 0, 0, 0}
};

static PyTypeObject __pyx_type_5freud_5order_SolLiqNear = {
  PyVarObject_HEAD_INIT(0, 0)
  "freud.order.SolLiqNear", /*tp_name*/
  sizeof(struct __pyx_obj_5freud_5order_SolLiqNear), /*tp_basicsize*/
  0, /*tp_itemsize*/
  __pyx_tp_dealloc_5freud_5order_SolLiqNear, /*tp_dealloc*/
  0, /*tp_print*/
  0, /*tp_getattr*/
  0, /*tp_setattr*/
  #if PY_MAJOR_VERSION < 3
  0, /*tp_compare*/
  #endif
  #if PY_MAJOR_VERSION >= 3
  0, /*tp_as_async*/
  #endif
  0, /*tp_repr*/
  0, /*tp_as_number*/
  0, /*tp_as_sequence*/
  0, /*tp_as_mapping*/
  0, /*tp_hash*/
  0, /*tp_call*/
  0, /*tp_str*/
  0, /*tp_getattro*/
  0, /*tp_setattro*/
  0, /*tp_as_buffer*/
  Py_TPFLAGS_DEFAULT|Py_TPFLAGS_HAVE_VERSION_TAG|Py_TPFLAGS_CHECKTYPES|Py_TPFLAGS_HAVE_NEWBUFFER|Py_TPFLAGS_BASETYPE|Py_TPFLAGS_HAVE_GC, /*tp_flags*/
  "A variant of the :class:`~SolLiq` class that performs its average over nearest neighbor particles as determined by an instance of :class:`freud.locality.NeighborList`. The number of included neighbors is determined by the kn parameter to the constructor.\n\n    .. moduleauthor:: Richmond Newman <newmanrs@umich.edu>\n\n    Args:\n        box (:class:`freud.box.Box`):\n            Simulation box.\n        rmax (float):\n            Cutoff radius for the local order parameter. Values near the first\n            minimum of the RDF are recommended.\n        Qthreshold (float):\n            Value of dot product threshold when evaluating\n            :math:`Q_{lm}^*(i) Q_{lm}(j)` to determine if a neighbor pair is a\n            solid-like bond. (For :math:`l=6`, 0.7 generally good for FCC or\n            BCC structures).\n        Sthreshold (unsigned int):\n            Minimum required number of adjacent solid-link bonds for a particle\n            to be considered solid-like for clustering. (For :math:`l=6`, 6-8\n            is generally good for FCC or BCC structures).\n        l (unsigned int):\n            Choose spherical harmonic :math:`Q_l`. Must be positive and even.\n        kn (unsigned int):\n            Number of nearest neighbors. Must be a positive number.\n\n    Attributes:\n        box (:class:`freud.box.Box`):\n            Box used in the calculation.\n        largest_cluster_size (unsigned int):\n            The largest cluster size. Must call a compute method first.\n        cluster_sizes (unsigned int):\n            The sizes of all clusters.\n        largest_cluster_size (unsigned int):\n            The largest cluster size. Must call a compute method first.\n        Ql_mi (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed :math:`Q_{lmi}` for each particle.\n        clusters (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The last computed set of solid-like cluster indices for each""\n            particle.\n        num_connections (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            The number of connections per particle.\n        Ql_dot_ij (:math:`\\left(N_{particles}\\right)` :class:`numpy.ndarray`):\n            Reference to the qldot_ij values.\n        num_particles (unsigned int):\n            Number of particles.\n\n    .. todo:: move box to compute, this is old API\n    ", /*tp_doc*/
  __pyx_tp_traverse_5freud_5order_SolLiqNear, /*tp_traverse*/
  __pyx_tp_clear_5freud_5order_SolLiqNear, /*tp_clear*/
  0, /*tp_richcompare*/
  0, /*tp_weaklistoffset*/
  0, /*tp_iter*/
  0, /*tp_iternext*/
  __pyx_methods_5freud_5order_SolLiqNear, /*tp_methods*/
  0, /*tp_members*/
  0, /*tp_getset*/
  0, /*tp_base*/
  0, /*tp_dict*/
  0, /*tp_descr_get*/
  0, /*tp_descr_set*/
  0, /*tp_dictoffset*/
  0, /*tp_init*/
  0, /*tp_alloc*/
  __pyx_tp_new_5freud_5order_SolLiqNear, /*tp_new*/
  0, /*tp_free*/
  0, /*tp_is_gc*/
  0, /*tp_bases*/
  0, /*tp_mro*/
  0, /*tp_cache*/
  0, /*tp_subclasses*/
  0, /*tp_weaklist*/
  0, /*tp_del*/
  0, /*tp_version_tag*/
  #if PY_VERSION_HEX >= 0x030400a1
  0, /*tp_finalize*/
  #endif
};

static PyMethodDef __pyx_methods[] = {
  {0, 0, 0, 0}
};

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

static struct PyModuleDef __pyx_moduledef = {
    PyModuleDef_HEAD_INIT,
    "order",
    __pyx_k_The_order_module_contains_funct, /* m_doc */
  #if CYTHON_PEP489_MULTI_PHASE_INIT
    0, /* m_size */
  #else
    -1, /* m_size */
  #endif
    __pyx_methods /* m_methods */,
  #if CYTHON_PEP489_MULTI_PHASE_INIT
    __pyx_moduledef_slots, /* m_slots */
  #else
    NULL, /* m_reload */
  #endif
    NULL, /* m_traverse */
    NULL, /* m_clear */
    NULL /* m_free */
};
#endif

static __Pyx_StringTabEntry __pyx_string_tab[] = {
  {&__pyx_n_s_AngularSeparation, __pyx_k_AngularSeparation, sizeof(__pyx_k_AngularSeparation), 0, 0, 1, 1},
  {&__pyx_n_s_AngularSeparation___init, __pyx_k_AngularSeparation___init, sizeof(__pyx_k_AngularSeparation___init), 0, 0, 1, 1},
  {&__pyx_n_s_AttributeError, __pyx_k_AttributeError, sizeof(__pyx_k_AttributeError), 0, 0, 1, 1},
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  {&__pyx_n_s_CubaticOrderParameter_get_gen_r4, __pyx_k_CubaticOrderParameter_get_gen_r4, sizeof(__pyx_k_CubaticOrderParameter_get_gen_r4), 0, 0, 1, 1},
  {&__pyx_n_s_CubaticOrderParameter_get_global, __pyx_k_CubaticOrderParameter_get_global, sizeof(__pyx_k_CubaticOrderParameter_get_global), 0, 0, 1, 1},
  {&__pyx_n_s_CubaticOrderParameter_get_orient, __pyx_k_CubaticOrderParameter_get_orient, sizeof(__pyx_k_CubaticOrderParameter_get_orient), 0, 0, 1, 1},
  {&__pyx_n_s_CubaticOrderParameter_get_partic, __pyx_k_CubaticOrderParameter_get_partic, sizeof(__pyx_k_CubaticOrderParameter_get_partic), 0, 0, 1, 1},
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  {&__pyx_n_s_CubaticOrderParameter_get_scale, __pyx_k_CubaticOrderParameter_get_scale, sizeof(__pyx_k_CubaticOrderParameter_get_scale), 0, 0, 1, 1},
  {&__pyx_n_s_CubaticOrderParameter_get_t_fina, __pyx_k_CubaticOrderParameter_get_t_fina, sizeof(__pyx_k_CubaticOrderParameter_get_t_fina), 0, 0, 1, 1},
  {&__pyx_n_s_CubaticOrderParameter_get_t_init, __pyx_k_CubaticOrderParameter_get_t_init, sizeof(__pyx_k_CubaticOrderParameter_get_t_init), 0, 0, 1, 1},
  {&__pyx_kp_u_Format_string_allocated_too_shor, __pyx_k_Format_string_allocated_too_shor, sizeof(__pyx_k_Format_string_allocated_too_shor), 0, 1, 0, 0},
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  {&__pyx_n_s_HexOrderParameter_getBox, __pyx_k_HexOrderParameter_getBox, sizeof(__pyx_k_HexOrderParameter_getBox), 0, 0, 1, 1},
  {&__pyx_n_s_HexOrderParameter_getK, __pyx_k_HexOrderParameter_getK, sizeof(__pyx_k_HexOrderParameter_getK), 0, 0, 1, 1},
  {&__pyx_n_s_HexOrderParameter_getNP, __pyx_k_HexOrderParameter_getNP, sizeof(__pyx_k_HexOrderParameter_getNP), 0, 0, 1, 1},
  {&__pyx_n_s_HexOrderParameter_getPsi, __pyx_k_HexOrderParameter_getPsi, sizeof(__pyx_k_HexOrderParameter_getPsi), 0, 0, 1, 1},
  {&__pyx_n_s_ImportError, __pyx_k_ImportError, sizeof(__pyx_k_ImportError), 0, 0, 1, 1},
  {&__pyx_n_s_K, __pyx_k_K, sizeof(__pyx_k_K), 0, 0, 1, 1},
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  {&__pyx_n_s_LocalDescriptors___init, __pyx_k_LocalDescriptors___init, sizeof(__pyx_k_LocalDescriptors___init), 0, 0, 1, 1},
  {&__pyx_n_s_LocalQlNear___reduce_cython, __pyx_k_LocalQlNear___reduce_cython, sizeof(__pyx_k_LocalQlNear___reduce_cython), 0, 0, 1, 1},
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 *         cdef np.ndarray[float, ndim=2] l_orientations = orientations
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 *         cdef np.ndarray[float, ndim=2] l_points = points
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 *         cdef np.ndarray[float, ndim=2] l_points = points
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 *         cdef np.ndarray[float, ndim=2] l_points = points
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 *         cdef np.ndarray[float, ndim=2] l_points = points
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 *         cdef np.ndarray[float, ndim=2] l_points = points
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 *         cdef np.ndarray[float, ndim=2] l_points = points
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 *         cdef np.ndarray[float, ndim=2] l_points = points
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 *         cdef np.ndarray[float, ndim=2] l_points = points
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 *         if ((child.byteorder == c'>' and little_endian) or
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  /* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":814
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  /* "../../../../../../usr/lib/python3.7/site-packages/Cython/Includes/numpy/__init__.pxd":834
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 * 
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invalid_keyword_type:
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invalid_keyword:
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static CYTHON_INLINE void __Pyx_ErrFetchInState(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
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static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb,
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raise_error:
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    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = f->f_localsplus;
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, int nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
        return NULL;
    }
    if (
#if PY_MAJOR_VERSION >= 3
            co->co_kwonlyargcount == 0 &&
#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif
#endif

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

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

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

/* GetException */
      #if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) {
#endif
    PyObject *local_type, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATE
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    local_type = tstate->curexc_type;
    local_value = tstate->curexc_value;
    local_tb = tstate->curexc_traceback;
    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
#else
    PyErr_Fetch(&local_type, &local_value, &local_tb);
#endif
    PyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATE
    if (unlikely(tstate->curexc_type))
#else
    if (unlikely(PyErr_Occurred()))
#endif
        goto bad;
    #if PY_MAJOR_VERSION >= 3
    if (local_tb) {
        if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))
            goto bad;
    }
    #endif
    Py_XINCREF(local_tb);
    Py_XINCREF(local_type);
    Py_XINCREF(local_value);
    *type = local_type;
    *value = local_value;
    *tb = local_tb;
#if CYTHON_FAST_THREAD_STATE
    #if PY_VERSION_HEX >= 0x030700A3
    tmp_type = tstate->exc_state.exc_type;
    tmp_value = tstate->exc_state.exc_value;
    tmp_tb = tstate->exc_state.exc_traceback;
    tstate->exc_state.exc_type = local_type;
    tstate->exc_state.exc_value = local_value;
    tstate->exc_state.exc_traceback = local_tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = local_type;
    tstate->exc_value = local_value;
    tstate->exc_traceback = local_tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
#else
    PyErr_SetExcInfo(local_type, local_value, local_tb);
#endif
    return 0;
bad:
    *type = 0;
    *value = 0;
    *tb = 0;
    Py_XDECREF(local_type);
    Py_XDECREF(local_value);
    Py_XDECREF(local_tb);
    return -1;
}

/* SwapException */
        #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSwap(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if PY_VERSION_HEX >= 0x030700A3
    tmp_type = tstate->exc_state.exc_type;
    tmp_value = tstate->exc_state.exc_value;
    tmp_tb = tstate->exc_state.exc_traceback;
    tstate->exc_state.exc_type = *type;
    tstate->exc_state.exc_value = *value;
    tstate->exc_state.exc_traceback = *tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = *type;
    tstate->exc_value = *value;
    tstate->exc_traceback = *tb;
    #endif
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#else
static CYTHON_INLINE void __Pyx_ExceptionSwap(PyObject **type, PyObject **value, PyObject **tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyErr_GetExcInfo(&tmp_type, &tmp_value, &tmp_tb);
    PyErr_SetExcInfo(*type, *value, *tb);
    *type = tmp_type;
    *value = tmp_value;
    *tb = tmp_tb;
}
#endif

/* SaveResetException */
        #if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
    #if PY_VERSION_HEX >= 0x030700A3
    *type = tstate->exc_state.exc_type;
    *value = tstate->exc_state.exc_value;
    *tb = tstate->exc_state.exc_traceback;
    #else
    *type = tstate->exc_type;
    *value = tstate->exc_value;
    *tb = tstate->exc_traceback;
    #endif
    Py_XINCREF(*type);
    Py_XINCREF(*value);
    Py_XINCREF(*tb);
}
static CYTHON_INLINE void __Pyx__ExceptionReset(PyThreadState *tstate, PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    #if PY_VERSION_HEX >= 0x030700A3
    tmp_type = tstate->exc_state.exc_type;
    tmp_value = tstate->exc_state.exc_value;
    tmp_tb = tstate->exc_state.exc_traceback;
    tstate->exc_state.exc_type = type;
    tstate->exc_state.exc_value = value;
    tstate->exc_state.exc_traceback = tb;
    #else
    tmp_type = tstate->exc_type;
    tmp_value = tstate->exc_value;
    tmp_tb = tstate->exc_traceback;
    tstate->exc_type = type;
    tstate->exc_value = value;
    tstate->exc_traceback = tb;
    #endif
    Py_XDECREF(tmp_type);
    Py_XDECREF(tmp_value);
    Py_XDECREF(tmp_tb);
}
#endif

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

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

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

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

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

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

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

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

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

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

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

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

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

/* 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;
}

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

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

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

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

/* CalculateMetaclass */
              static PyObject *__Pyx_CalculateMetaclass(PyTypeObject *metaclass, PyObject *bases) {
    Py_ssize_t i, nbases = PyTuple_GET_SIZE(bases);
    for (i=0; i < nbases; i++) {
        PyTypeObject *tmptype;
        PyObject *tmp = PyTuple_GET_ITEM(bases, i);
        tmptype = Py_TYPE(tmp);
#if PY_MAJOR_VERSION < 3
        if (tmptype == &PyClass_Type)
            continue;
#endif
        if (!metaclass) {
            metaclass = tmptype;
            continue;
        }
        if (PyType_IsSubtype(metaclass, tmptype))
            continue;
        if (PyType_IsSubtype(tmptype, metaclass)) {
            metaclass = tmptype;
            continue;
        }
        PyErr_SetString(PyExc_TypeError,
                        "metaclass conflict: "
                        "the metaclass of a derived class "
                        "must be a (non-strict) subclass "
                        "of the metaclasses of all its bases");
        return NULL;
    }
    if (!metaclass) {
#if PY_MAJOR_VERSION < 3
        metaclass = &PyClass_Type;
#else
        metaclass = &PyType_Type;
#endif
    }
    Py_INCREF((PyObject*) metaclass);
    return (PyObject*) metaclass;
}

/* Py3ClassCreate */
              static PyObject *__Pyx_Py3MetaclassPrepare(PyObject *metaclass, PyObject *bases, PyObject *name,
                                           PyObject *qualname, PyObject *mkw, PyObject *modname, PyObject *doc) {
    PyObject *ns;
    if (metaclass) {
        PyObject *prep = __Pyx_PyObject_GetAttrStr(metaclass, __pyx_n_s_prepare);
        if (prep) {
            PyObject *pargs = PyTuple_Pack(2, name, bases);
            if (unlikely(!pargs)) {
                Py_DECREF(prep);
                return NULL;
            }
            ns = PyObject_Call(prep, pargs, mkw);
            Py_DECREF(prep);
            Py_DECREF(pargs);
        } else {
            if (unlikely(!PyErr_ExceptionMatches(PyExc_AttributeError)))
                return NULL;
            PyErr_Clear();
            ns = PyDict_New();
        }
    } else {
        ns = PyDict_New();
    }
    if (unlikely(!ns))
        return NULL;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_module, modname) < 0)) goto bad;
    if (unlikely(PyObject_SetItem(ns, __pyx_n_s_qualname, qualname) < 0)) goto bad;
    if (unlikely(doc && PyObject_SetItem(ns, __pyx_n_s_doc, doc) < 0)) goto bad;
    return ns;
bad:
    Py_DECREF(ns);
    return NULL;
}
static PyObject *__Pyx_Py3ClassCreate(PyObject *metaclass, PyObject *name, PyObject *bases,
                                      PyObject *dict, PyObject *mkw,
                                      int calculate_metaclass, int allow_py2_metaclass) {
    PyObject *result, *margs;
    PyObject *owned_metaclass = NULL;
    if (allow_py2_metaclass) {
        owned_metaclass = PyObject_GetItem(dict, __pyx_n_s_metaclass);
        if (owned_metaclass) {
            metaclass = owned_metaclass;
        } else if (likely(PyErr_ExceptionMatches(PyExc_KeyError))) {
            PyErr_Clear();
        } else {
            return NULL;
        }
    }
    if (calculate_metaclass && (!metaclass || PyType_Check(metaclass))) {
        metaclass = __Pyx_CalculateMetaclass((PyTypeObject*) metaclass, bases);
        Py_XDECREF(owned_metaclass);
        if (unlikely(!metaclass))
            return NULL;
        owned_metaclass = metaclass;
    }
    margs = PyTuple_Pack(3, name, bases, dict);
    if (unlikely(!margs)) {
        result = NULL;
    } else {
        result = PyObject_Call(metaclass, margs, mkw);
        Py_DECREF(margs);
    }
    Py_XDECREF(owned_metaclass);
    return result;
}

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

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

/* AddTraceback */
              #include "compile.h"
#include "frameobject.h"
#include "traceback.h"
static PyCodeObject* __Pyx_CreateCodeObjectForTraceback(
            const char *funcname, int c_line,
            int py_line, const char *filename) {
    PyCodeObject *py_code = 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;
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(tstate, c_line);
    }
    py_code = __pyx_find_code_object(c_line ? -c_line : py_line);
    if (!py_code) {
        py_code = __Pyx_CreateCodeObjectForTraceback(
            funcname, c_line, py_line, filename);
        if (!py_code) goto bad;
        __pyx_insert_code_object(c_line ? -c_line : py_line, py_code);
    }
    py_frame = PyFrame_New(
        tstate,            /*PyThreadState *tstate,*/
        py_code,           /*PyCodeObject *code,*/
        __pyx_d,    /*PyObject *globals,*/
        0                  /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

/* 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;
                } else if (b.imag == 0) {
                    z.real = powf(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2f(0, -1);
                }
            } 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

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
    if (PyObject_CheckBuffer(obj)) return PyObject_GetBuffer(obj, view, flags);
        if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pw_5numpy_7ndarray_1__getbuffer__(obj, view, flags);
    PyErr_Format(PyExc_TypeError, "'%.200s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
    return -1;
}
static void __Pyx_ReleaseBuffer(Py_buffer *view) {
    PyObject *obj = view->obj;
    if (!obj) return;
    if (PyObject_CheckBuffer(obj)) {
        PyBuffer_Release(view);
        return;
    }
    if ((0)) {}
        else if (__Pyx_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) __pyx_pw_5numpy_7ndarray_3__releasebuffer__(obj, view);
    view->obj = NULL;
    Py_DECREF(obj);
}
#endif


              /* Print */
              #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION < 3
static PyObject *__Pyx_GetStdout(void) {
    PyObject *f = PySys_GetObject((char *)"stdout");
    if (!f) {
        PyErr_SetString(PyExc_RuntimeError, "lost sys.stdout");
    }
    return f;
}
static int __Pyx_Print(PyObject* f, PyObject *arg_tuple, int newline) {
    int i;
    if (!f) {
        if (!(f = __Pyx_GetStdout()))
            return -1;
    }
    Py_INCREF(f);
    for (i=0; i < PyTuple_GET_SIZE(arg_tuple); i++) {
        PyObject* v;
        if (PyFile_SoftSpace(f, 1)) {
            if (PyFile_WriteString(" ", f) < 0)
                goto error;
        }
        v = PyTuple_GET_ITEM(arg_tuple, i);
        if (PyFile_WriteObject(v, f, Py_PRINT_RAW) < 0)
            goto error;
        if (PyString_Check(v)) {
            char *s = PyString_AsString(v);
            Py_ssize_t len = PyString_Size(v);
            if (len > 0) {
                switch (s[len-1]) {
                    case ' ': break;
                    case '\f': case '\r': case '\n': case '\t': case '\v':
                        PyFile_SoftSpace(f, 0);
                        break;
                    default:  break;
                }
            }
        }
    }
    if (newline) {
        if (PyFile_WriteString("\n", f) < 0)
            goto error;
        PyFile_SoftSpace(f, 0);
    }
    Py_DECREF(f);
    return 0;
error:
    Py_DECREF(f);
    return -1;
}
#else
static int __Pyx_Print(PyObject* stream, PyObject *arg_tuple, int newline) {
    PyObject* kwargs = 0;
    PyObject* result = 0;
    PyObject* end_string;
    if (unlikely(!__pyx_print)) {
        __pyx_print = PyObject_GetAttr(__pyx_b, __pyx_n_s_print);
        if (!__pyx_print)
            return -1;
    }
    if (stream) {
        kwargs = PyDict_New();
        if (unlikely(!kwargs))
            return -1;
        if (unlikely(PyDict_SetItem(kwargs, __pyx_n_s_file, stream) < 0))
            goto bad;
        if (!newline) {
            end_string = PyUnicode_FromStringAndSize(" ", 1);
            if (unlikely(!end_string))
                goto bad;
            if (PyDict_SetItem(kwargs, __pyx_n_s_end, end_string) < 0) {
                Py_DECREF(end_string);
                goto bad;
            }
            Py_DECREF(end_string);
        }
    } else if (!newline) {
        if (unlikely(!__pyx_print_kwargs)) {
            __pyx_print_kwargs = PyDict_New();
            if (unlikely(!__pyx_print_kwargs))
                return -1;
            end_string = PyUnicode_FromStringAndSize(" ", 1);
            if (unlikely(!end_string))
                return -1;
            if (PyDict_SetItem(__pyx_print_kwargs, __pyx_n_s_end, end_string) < 0) {
                Py_DECREF(end_string);
                return -1;
            }
            Py_DECREF(end_string);
        }
        kwargs = __pyx_print_kwargs;
    }
    result = PyObject_Call(__pyx_print, arg_tuple, kwargs);
    if (unlikely(kwargs) && (kwargs != __pyx_print_kwargs))
        Py_DECREF(kwargs);
    if (!result)
        return -1;
    Py_DECREF(result);
    return 0;
bad:
    if (kwargs != __pyx_print_kwargs)
        Py_XDECREF(kwargs);
    return -1;
}
#endif

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

/* 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);
    }
}

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

/* 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;
                } else if (b.imag == 0) {
                    z.real = pow(a.real, b.real);
                    z.imag = 0;
                    return z;
                } else if (a.real > 0) {
                    r = a.real;
                    theta = 0;
                } else {
                    r = -a.real;
                    theta = atan2(0, -1);
                }
            } 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_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);
    }
}

/* 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);
    }
}

/* PrintOne */
              #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION < 3
static int __Pyx_PrintOne(PyObject* f, PyObject *o) {
    if (!f) {
        if (!(f = __Pyx_GetStdout()))
            return -1;
    }
    Py_INCREF(f);
    if (PyFile_SoftSpace(f, 0)) {
        if (PyFile_WriteString(" ", f) < 0)
            goto error;
    }
    if (PyFile_WriteObject(o, f, Py_PRINT_RAW) < 0)
        goto error;
    if (PyFile_WriteString("\n", f) < 0)
        goto error;
    Py_DECREF(f);
    return 0;
error:
    Py_DECREF(f);
    return -1;
    /* the line below is just to avoid C compiler
     * warnings about unused functions */
    return __Pyx_Print(f, NULL, 0);
}
#else
static int __Pyx_PrintOne(PyObject* stream, PyObject *o) {
    int res;
    PyObject* arg_tuple = PyTuple_Pack(1, o);
    if (unlikely(!arg_tuple))
        return -1;
    res = __Pyx_Print(stream, arg_tuple, 1);
    Py_DECREF(arg_tuple);
    return res;
}
#endif

/* CIntFromPy */
              static CYTHON_INLINE unsigned int __Pyx_PyInt_As_unsigned_int(PyObject *x) {
    const unsigned int neg_one = (unsigned int) -1, const_zero = (unsigned int) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(unsigned int) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(unsigned int, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (unsigned 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 (unsigned int) 0;
                case  1: __PYX_VERIFY_RETURN_INT(unsigned int, digit, digits[0])
                case 2:
                    if (8 * sizeof(unsigned int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(unsigned int) >= 2 * PyLong_SHIFT) {
                            return (unsigned int) (((((unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(unsigned int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(unsigned int) >= 3 * PyLong_SHIFT) {
                            return (unsigned int) (((((((unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(unsigned int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned 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(unsigned int) >= 4 * PyLong_SHIFT) {
                            return (unsigned int) (((((((((unsigned int)digits[3]) << PyLong_SHIFT) | (unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned 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 (unsigned int) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(unsigned int) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned int, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(unsigned int) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned 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 (unsigned int) 0;
                case -1: __PYX_VERIFY_RETURN_INT(unsigned int, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(unsigned int,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(unsigned int) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned int, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(unsigned int) - 1 > 2 * PyLong_SHIFT) {
                            return (unsigned int) (((unsigned int)-1)*(((((unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(unsigned int) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(unsigned int) - 1 > 2 * PyLong_SHIFT) {
                            return (unsigned int) ((((((unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(unsigned int) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned int, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(unsigned int) - 1 > 3 * PyLong_SHIFT) {
                            return (unsigned int) (((unsigned int)-1)*(((((((unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(unsigned int) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned int, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(unsigned int) - 1 > 3 * PyLong_SHIFT) {
                            return (unsigned int) ((((((((unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(unsigned int) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned 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(unsigned int) - 1 > 4 * PyLong_SHIFT) {
                            return (unsigned int) (((unsigned int)-1)*(((((((((unsigned int)digits[3]) << PyLong_SHIFT) | (unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(unsigned int) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(unsigned 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(unsigned int) - 1 > 4 * PyLong_SHIFT) {
                            return (unsigned int) ((((((((((unsigned int)digits[3]) << PyLong_SHIFT) | (unsigned int)digits[2]) << PyLong_SHIFT) | (unsigned int)digits[1]) << PyLong_SHIFT) | (unsigned int)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(unsigned int) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned int, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(unsigned int) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(unsigned 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
            unsigned 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 (unsigned int) -1;
        }
    } else {
        unsigned int val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (unsigned int) -1;
        val = __Pyx_PyInt_As_unsigned_int(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to unsigned int");
    return (unsigned int) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to unsigned int");
    return (unsigned int) -1;
}

/* 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;
}

/* 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;
}

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

/* 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;
}

/* 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

/* FunctionImport */
              #ifndef __PYX_HAVE_RT_ImportFunction
#define __PYX_HAVE_RT_ImportFunction
static int __Pyx_ImportFunction(PyObject *module, const char *funcname, void (**f)(void), const char *sig) {
    PyObject *d = 0;
    PyObject *cobj = 0;
    union {
        void (*fp)(void);
        void *p;
    } tmp;
    d = PyObject_GetAttrString(module, (char *)"__pyx_capi__");
    if (!d)
        goto bad;
    cobj = PyDict_GetItemString(d, funcname);
    if (!cobj) {
        PyErr_Format(PyExc_ImportError,
            "%.200s does not export expected C function %.200s",
                PyModule_GetName(module), funcname);
        goto bad;
    }
#if PY_VERSION_HEX >= 0x02070000
    if (!PyCapsule_IsValid(cobj, sig)) {
        PyErr_Format(PyExc_TypeError,
            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), funcname, sig, PyCapsule_GetName(cobj));
        goto bad;
    }
    tmp.p = PyCapsule_GetPointer(cobj, sig);
#else
    {const char *desc, *s1, *s2;
    desc = (const char *)PyCObject_GetDesc(cobj);
    if (!desc)
        goto bad;
    s1 = desc; s2 = sig;
    while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
    if (*s1 != *s2) {
        PyErr_Format(PyExc_TypeError,
            "C function %.200s.%.200s has wrong signature (expected %.500s, got %.500s)",
             PyModule_GetName(module), funcname, sig, desc);
        goto bad;
    }
    tmp.p = PyCObject_AsVoidPtr(cobj);}
#endif
    *f = tmp.fp;
    if (!(*f))
        goto bad;
    Py_DECREF(d);
    return 0;
bad:
    Py_XDECREF(d);
    return -1;
}
#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;
        if (PyObject_Hash(*t->p) == -1)
            return -1;
        ++t;
    }
    return 0;
}

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


#endif /* Py_PYTHON_H */
