在运行python程序的时候，会发现有些模块不是用Python语言编写的，而是用C/C++编写的，主要是考虑到C/C++编写的模块相对Python脚本语言编写的模块执行速度更快。那么在调用这些由C/C++编写的Python模块，需要一个编译过程，把pyx文件编译为pyd文件供Python调用。

.pyx 文件是由 Cython 编程语言 "编写" 而成的 Python 扩展模块源代码文件。.pyx 文件类似于 C 语言的 .c 源代码文件，.pyx 文件中有 Cython 模块的源代码。

.pyd 文件是非 Python，由其它编程语言 "编写-编译" 生成的 Python 扩展模块。Python 要导入 .pyd 文件，实际上是在 .pyd 文件中封装了一个 module。在 python 中使用时，把它当成 module 来用就可以了，即："import 路径名.modulename" 即可，路径名为 .pyd 文件所在的路径。

下面看一下一个pyx示例addToConfusionMatrix.pyx文件，其具体内容如下：

# cython methods to speed-up evaluationimport numpy as np
cimport cython
cimport numpy as np
import ctypesnp.import_array()cdef extern from "addToConfusionMatrix_impl.c":   ##依赖于外部C文件void addToConfusionMatrix( const unsigned char* f_prediction_p  ,const unsigned char* f_groundTruth_p ,const unsigned int   f_width_i       ,const unsigned int   f_height_i      ,unsigned long long*  f_confMatrix_p  ,const unsigned int   f_confMatDim_i  )   ##addToConfusionMatrix.c文件的声明cdef tonumpyarray(unsigned long long* data, unsigned long long size):if not (data and size >= 0): raise ValueErrorreturn np.PyArray_SimpleNewFromData(2, [size, size], np.NPY_UINT64, <void*>data)@cython.boundscheck(False)
def cEvaluatePair( np.ndarray[np.uint8_t , ndim=2] predictionArr   ,np.ndarray[np.uint8_t , ndim=2] groundTruthArr  ,np.ndarray[np.uint64_t, ndim=2] confMatrix      ,evalLabels                                    ):cdef np.ndarray[np.uint8_t    , ndim=2, mode="c"] predictionArr_ccdef np.ndarray[np.uint8_t    , ndim=2, mode="c"] groundTruthArr_ccdef np.ndarray[np.ulonglong_t, ndim=2, mode="c"] confMatrix_cpredictionArr_c  = np.ascontiguousarray(predictionArr , dtype=np.uint8    )groundTruthArr_c = np.ascontiguousarray(groundTruthArr, dtype=np.uint8    )confMatrix_c     = np.ascontiguousarray(confMatrix    , dtype=np.ulonglong)cdef np.uint32_t height_ui     = predictionArr.shape[1]cdef np.uint32_t width_ui      = predictionArr.shape[0]cdef np.uint32_t confMatDim_ui = confMatrix.shape[0]addToConfusionMatrix(&predictionArr_c[0,0], &groundTruthArr_c[0,0], height_ui, width_ui, &confMatrix_c[0,0], confMatDim_ui)confMatrix = np.ascontiguousarray(tonumpyarray(&confMatrix_c[0,0], confMatDim_ui))return np.copy(confMatrix)

addToConfusionMatrix_impl.c文件内容如下：

/* Generated by Cython 0.28.3 *//* BEGIN: Cython Metadata
{"distutils": {"depends": ["cityscapesscripts\\evaluation\\addToConfusionMatrix_impl.c"],"include_dirs": ["cityscapesscripts\\evaluation"],"name": "cityscapesscripts.evaluation.addToConfusionMatrix","sources": ["cityscapesscripts\\evaluation\\addToConfusionMatrix.pyx"]},"module_name": "cityscapesscripts.evaluation.addToConfusionMatrix"
}
END: Cython Metadata */#define PY_SSIZE_T_CLEAN
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typedef npy_uint32 __pyx_t_5numpy_uint32_t;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/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*/
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typedef npy_float32 __pyx_t_5numpy_float32_t;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/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;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/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*/
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typedef npy_longlong __pyx_t_5numpy_longlong_t;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/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;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/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;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/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;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/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;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/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;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/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;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/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;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/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;
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typedef npy_cfloat __pyx_t_5numpy_cfloat_t;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/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;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/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;/* "../../../Anaconda3/Anaconda361/envs/tf-cpu/lib/site-packages/Cython/Includes/numpy/__init__.pxd":773* ctypedef npy_clongdouble clongdouble_t* * ctypedef npy_cdouble     complex_t             # <<<<<<<<<<<<<<* * cdef inline object PyArray_MultiIterNew1(a):*/
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#define __Pyx_MODULE_NAME "cityscapesscripts.evaluation.addToConfusionMatrix"
extern int __pyx_module_is_main_cityscapesscripts__evaluation__addToConfusionMatrix;
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static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_RuntimeError;
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static const char __pyx_k_range[] = "range";
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static const char __pyx_k_ctypes[] = "ctypes";
static const char __pyx_k_import[] = "__import__";
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static const char __pyx_k_height_ui[] = "height_ui";
static const char __pyx_k_ulonglong[] = "ulonglong";
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static const char __pyx_k_confMatrix[] = "confMatrix";
static const char __pyx_k_evalLabels[] = "evalLabels";
static const char __pyx_k_ImportError[] = "ImportError";
static const char __pyx_k_RuntimeError[] = "RuntimeError";
static const char __pyx_k_confMatrix_c[] = "confMatrix_c";
static const char __pyx_k_cEvaluatePair[] = "cEvaluatePair";
static const char __pyx_k_confMatDim_ui[] = "confMatDim_ui";
static const char __pyx_k_predictionArr[] = "predictionArr";
static const char __pyx_k_groundTruthArr[] = "groundTruthArr";
static const char __pyx_k_predictionArr_c[] = "predictionArr_c";
static const char __pyx_k_groundTruthArr_c[] = "groundTruthArr_c";
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static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_ndarray_is_not_C_contiguous[] = "ndarray is not C contiguous";
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static const char __pyx_k_Non_native_byte_order_not_suppor[] = "Non-native byte order not supported";
static const char __pyx_k_cityscapesscripts_evaluation_add[] = "cityscapesscripts\\evaluation\\addToConfusionMatrix.pyx";
static const char __pyx_k_ndarray_is_not_Fortran_contiguou[] = "ndarray is not Fortran contiguous";
static const char __pyx_k_numpy_core_umath_failed_to_impor[] = "numpy.core.umath failed to import";
static const char __pyx_k_Format_string_allocated_too_shor_2[] = "Format string allocated too short.";
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/* These are for computing the padding at the end of the struct to alignon 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_LONGcase 'q': case 'Q': return sizeof(__Pyx_pad_longlong) - sizeof(PY_LONG_LONG);
#endifcase '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;
}/* GetModuleGlobalName */static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
#if CYTHON_COMPILING_IN_CPYTHON && PY_VERSION_HEX >= 0x030500A1result = _PyDict_GetItem_KnownHash(__pyx_d, name, ((PyASCIIObject *) name)->hash);if (likely(result)) {Py_INCREF(result);} else if (unlikely(PyErr_Occurred())) {result = NULL;} else {
#elseresult = PyDict_GetItem(__pyx_d, name);if (likely(result)) {Py_INCREF(result);} else {
#endif
#elseresult = PyObject_GetItem(__pyx_d, name);if (!result) {PyErr_Clear();
#endifresult = __Pyx_GetBuiltinName(name);}return result;
}/* PyObjectCall */#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyObject_Call(PyObject *func, PyObject *arg, PyObject *kw) {PyObject *result;ternaryfunc call = func->ob_type->tp_call;if (unlikely(!call))return PyObject_Call(func, arg, kw);if (unlikely(Py_EnterRecursiveCall((char*)" while calling a Python object")))return NULL;result = (*call)(func, arg, kw);Py_LeaveRecursiveCall();if (unlikely(!result) && unlikely(!PyErr_Occurred())) {PyErr_SetString(PyExc_SystemError,"NULL result without error in PyObject_Call");}return result;
}
#endif/* 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;
}/* BufferFallbackError */static void __Pyx_RaiseBufferFallbackError(void) {PyErr_SetString(PyExc_ValueError,"Buffer acquisition failed on assignment; and then reacquiring the old buffer failed too!");
}/* PyCFunctionFastCall */#if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {PyCFunctionObject *func = (PyCFunctionObject*)func_obj;PyCFunction meth = PyCFunction_GET_FUNCTION(func);PyObject *self = PyCFunction_GET_SELF(func);int flags = PyCFunction_GET_FLAGS(func);assert(PyCFunction_Check(func));assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS)));assert(nargs >= 0);assert(nargs == 0 || args != NULL);/* _PyCFunction_FastCallDict() must not be called with an exception set,because it may clear it (directly or indirectly) and so thecaller loses its exception */assert(!PyErr_Occurred());if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {return (*((__Pyx_PyCFunctionFastWithKeywords)meth)) (self, args, nargs, NULL);} else {return (*((__Pyx_PyCFunctionFast)meth)) (self, args, nargs);}
}
#endif/* PyFunctionFastCall */#if CYTHON_FAST_PYCALL
#include "frameobject.h"
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,PyObject *globals) {PyFrameObject *f;PyThreadState *tstate = __Pyx_PyThreadState_Current;PyObject **fastlocals;Py_ssize_t i;PyObject *result;assert(globals != NULL);/* XXX Perhaps we should create a specializedPyFrame_New() that doesn't take locals, but doestake builtins without sanity checking them.*/assert(tstate != NULL);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 >= 3PyObject *kwdefs;
#endifPyObject *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 >= 3co->co_kwonlyargcount == 0 &&
#endiflikely(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 havea 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 >= 3kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endifif (argdefs != NULL) {d = &PyTuple_GET_ITEM(argdefs, 0);nd = Py_SIZE(argdefs);}else {d = NULL;nd = 0;}
#if PY_MAJOR_VERSION >= 3result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,args, nargs,k, (int)nk,d, (int)nd, kwdefs, closure);
#elseresult = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,args, nargs,k, (int)nk,d, (int)nd, closure);
#endifPy_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_PYCALLif (PyFunction_Check(func)) {return __Pyx_PyFunction_FastCall(func, &arg, 1);}
#endifif (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/* 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");
}/* SaveResetException */#if CYTHON_FAST_THREAD_STATE
static CYTHON_INLINE void __Pyx__ExceptionSave(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {#if PY_VERSION_HEX >= 0x030700A2*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;#endifPy_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 >= 0x030700A2tmp_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;#elsetmp_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;#endifPy_XDECREF(tmp_type);Py_XDECREF(tmp_value);Py_XDECREF(tmp_tb);
}
#endif/* PyErrExceptionMatches */#if CYTHON_FAST_THREAD_STATE
static int __Pyx_PyErr_ExceptionMatchesTuple(PyObject *exc_type, PyObject *tuple) {Py_ssize_t i, n;n = PyTuple_GET_SIZE(tuple);
#if PY_MAJOR_VERSION >= 3for (i=0; i<n; i++) {if (exc_type == PyTuple_GET_ITEM(tuple, i)) return 1;}
#endiffor (i=0; i<n; i++) {if (__Pyx_PyErr_GivenExceptionMatches(exc_type, PyTuple_GET_ITEM(tuple, i))) return 1;}return 0;
}
static CYTHON_INLINE int __Pyx_PyErr_ExceptionMatchesInState(PyThreadState* tstate, PyObject* err) {PyObject *exc_type = tstate->curexc_type;if (exc_type == err) return 1;if (unlikely(!exc_type)) return 0;if (unlikely(PyTuple_Check(err)))return __Pyx_PyErr_ExceptionMatchesTuple(exc_type, err);return __Pyx_PyErr_GivenExceptionMatches(exc_type, err);
}
#endif/* GetException */#if CYTHON_FAST_THREAD_STATE
static int __Pyx__GetException(PyThreadState *tstate, PyObject **type, PyObject **value, PyObject **tb) {
#else
static int __Pyx_GetException(PyObject **type, PyObject **value, PyObject **tb) {
#endifPyObject *local_type, *local_value, *local_tb;
#if CYTHON_FAST_THREAD_STATEPyObject *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;
#elsePyErr_Fetch(&local_type, &local_value, &local_tb);
#endifPyErr_NormalizeException(&local_type, &local_value, &local_tb);
#if CYTHON_FAST_THREAD_STATEif (unlikely(tstate->curexc_type))
#elseif (unlikely(PyErr_Occurred()))
#endifgoto bad;#if PY_MAJOR_VERSION >= 3if (local_tb) {if (unlikely(PyException_SetTraceback(local_value, local_tb) < 0))goto bad;}#endifPy_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 >= 0x030700A2tmp_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;#elsetmp_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;#endifPy_XDECREF(tmp_type);Py_XDECREF(tmp_value);Py_XDECREF(tmp_tb);
#elsePyErr_SetExcInfo(local_type, local_value, local_tb);
#endifreturn 0;
bad:*type = 0;*value = 0;*tb = 0;Py_XDECREF(local_type);Py_XDECREF(local_value);Py_XDECREF(local_tb);return -1;
}/* 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 < 3PyObject *py_import;py_import = __Pyx_PyObject_GetAttrStr(__pyx_b, __pyx_n_s_import);if (!py_import)goto bad;#endifif (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 >= 3if (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;}#endifif (!module) {#if PY_MAJOR_VERSION < 3PyObject *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);#elsemodule = PyImport_ImportModuleLevelObject(name, global_dict, empty_dict, list, level);#endif}}
bad:#if PY_MAJOR_VERSION < 3Py_XDECREF(py_import);#endifPy_XDECREF(empty_list);Py_XDECREF(empty_dict);return module;
}/* 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_CPYTHONPyObject **cython_runtime_dict;
#endifif (unlikely(!__pyx_cython_runtime)) {return c_line;}__Pyx_ErrFetchInState(tstate, &ptype, &pvalue, &ptraceback);
#if CYTHON_COMPILING_IN_CPYTHONcython_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 < 3py_srcfile = PyString_FromString(filename);#elsepy_srcfile = PyUnicode_FromString(filename);#endifif (!py_srcfile) goto bad;if (c_line) {#if PY_MAJOR_VERSION < 3py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);#elsepy_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, c_line);#endif}else {#if PY_MAJOR_VERSION < 3py_funcname = PyString_FromString(funcname);#elsepy_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);
}#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/* CIntToPy */static CYTHON_INLINE PyObject* __Pyx_PyInt_From_unsigned_PY_LONG_LONG(unsigned PY_LONG_LONG value) {const unsigned PY_LONG_LONG neg_one = (unsigned PY_LONG_LONG) -1, const_zero = (unsigned PY_LONG_LONG) 0;const int is_unsigned = neg_one > const_zero;if (is_unsigned) {if (sizeof(unsigned PY_LONG_LONG) < sizeof(long)) {return PyInt_FromLong((long) value);} else if (sizeof(unsigned PY_LONG_LONG) <= sizeof(unsigned long)) {return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG} else if (sizeof(unsigned PY_LONG_LONG) <= sizeof(unsigned PY_LONG_LONG)) {return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif}} else {if (sizeof(unsigned PY_LONG_LONG) <= sizeof(long)) {return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG} else if (sizeof(unsigned PY_LONG_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(unsigned PY_LONG_LONG),little, !is_unsigned);}
}/* Declarations */#if CYTHON_CCOMPLEX#ifdef __cplusplusstatic CYTHON_INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {return ::std::complex< float >(x, y);}#elsestatic 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
#elsestatic 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
#elsestatic 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 1static 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);}}#elsestatic 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);}}#endifstatic 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 1static 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);#elsereturn 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/* Declarations */#if CYTHON_CCOMPLEX#ifdef __cplusplusstatic CYTHON_INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {return ::std::complex< double >(x, y);}#elsestatic 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
#elsestatic 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
#elsestatic 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 1static 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);}}#elsestatic 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);}}#endifstatic 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 1static 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);#elsereturn 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);}
}/* 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_enum__NPY_TYPES(enum NPY_TYPES value) {const enum NPY_TYPES neg_one = (enum NPY_TYPES) -1, const_zero = (enum NPY_TYPES) 0;const int is_unsigned = neg_one > const_zero;if (is_unsigned) {if (sizeof(enum NPY_TYPES) < sizeof(long)) {return PyInt_FromLong((long) value);} else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned long)) {return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG} else if (sizeof(enum NPY_TYPES) <= sizeof(unsigned PY_LONG_LONG)) {return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif}} else {if (sizeof(enum NPY_TYPES) <= sizeof(long)) {return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG} else if (sizeof(enum NPY_TYPES) <= sizeof(PY_LONG_LONG)) {return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif}}{int one = 1; int little = (int)*(unsigned char *)&one;unsigned char *bytes = (unsigned char *)&value;return _PyLong_FromByteArray(bytes, sizeof(enum NPY_TYPES),little, !is_unsigned);}
}/* CIntFromPy */static CYTHON_INLINE int __Pyx_PyInt_As_int(PyObject *x) {const int neg_one = (int) -1, const_zero = (int) 0;const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3if (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
#endifif (likely(PyLong_Check(x))) {if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALSconst 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_CPYTHONif (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;}
#endifif (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_INTERNALSconst 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;}
#endifif (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");
#elseint val;PyObject *v = __Pyx_PyNumber_IntOrLong(x);#if PY_MAJOR_VERSION < 3if (likely(v) && !PyLong_Check(v)) {PyObject *tmp = v;v = PyNumber_Long(tmp);Py_DECREF(tmp);}#endifif (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;}
#endifreturn (int) -1;}} else {int val;PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);if (!tmp) return (int) -1;val = __Pyx_PyInt_As_int(tmp);Py_DECREF(tmp);return val;}
raise_overflow:PyErr_SetString(PyExc_OverflowError,"value too large to convert to int");return (int) -1;
raise_neg_overflow:PyErr_SetString(PyExc_OverflowError,"can't convert negative value to int");return (int) -1;
}/* CIntToPy */static CYTHON_INLINE PyObject* __Pyx_PyInt_From_long(long value) {const long neg_one = (long) -1, const_zero = (long) 0;const int is_unsigned = neg_one > const_zero;if (is_unsigned) {if (sizeof(long) < sizeof(long)) {return PyInt_FromLong((long) value);} else if (sizeof(long) <= sizeof(unsigned long)) {return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG} else if (sizeof(long) <= sizeof(unsigned PY_LONG_LONG)) {return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif}} else {if (sizeof(long) <= sizeof(long)) {return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG} else if (sizeof(long) <= sizeof(PY_LONG_LONG)) {return PyLong_FromLongLong((PY_LONG_LONG) value);
#endif}}{int one = 1; int little = (int)*(unsigned char *)&one;unsigned char *bytes = (unsigned char *)&value;return _PyLong_FromByteArray(bytes, sizeof(long),little, !is_unsigned);}
}/* CIntFromPy */static CYTHON_INLINE long __Pyx_PyInt_As_long(PyObject *x) {const long neg_one = (long) -1, const_zero = (long) 0;const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3if (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
#endifif (likely(PyLong_Check(x))) {if (is_unsigned) {
#if CYTHON_USE_PYLONG_INTERNALSconst 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_CPYTHONif (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;}
#endifif (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_INTERNALSconst 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;}
#endifif (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");
#elselong val;PyObject *v = __Pyx_PyNumber_IntOrLong(x);#if PY_MAJOR_VERSION < 3if (likely(v) && !PyLong_Check(v)) {PyObject *tmp = v;v = PyNumber_Long(tmp);Py_DECREF(tmp);}#endifif (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;}
#endifreturn (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 CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches(PyObject *err, PyObject* exc_type) {if (likely(err == exc_type)) return 1;if (likely(PyExceptionClass_Check(err))) {return __Pyx_inner_PyErr_GivenExceptionMatches2(err, NULL, exc_type);}return PyErr_GivenExceptionMatches(err, exc_type);
}
static CYTHON_INLINE int __Pyx_PyErr_GivenExceptionMatches2(PyObject *err, PyObject *exc_type1, PyObject *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_APIPyObject *py_basicsize;
#endifpy_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_APIbasicsize = ((PyTypeObject *)result)->tp_basicsize;
#elsepy_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;
#endifif (!strict && (size_t)basicsize > size) {PyOS_snprintf(warning, sizeof(warning),"%s.%s size changed, may indicate binary incompatibility. Expected %zd, got %zd",module_name, class_name, basicsize, size);if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;}else if ((size_t)basicsize != size) {PyErr_Format(PyExc_ValueError,"%.200s.%.200s has the wrong size, try recompiling. Expected %zd, got %zd",module_name, class_name, basicsize, size);goto bad;}return (PyTypeObject *)result;
bad:Py_XDECREF(py_module);Py_XDECREF(result);return NULL;
}
#endif/* InitStrings */static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {while (t->p) {#if PY_MAJOR_VERSION < 3if (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);}#elseif (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);}#endifif (!*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_ASCIIif (likely(PyUnicode_IS_ASCII(o))) {*length = PyUnicode_GET_LENGTH(o);return PyUnicode_AsUTF8(o);} else {PyUnicode_AsASCIIString(o);return NULL;}
#elsereturn 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_DEFAULTif (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII__Pyx_sys_getdefaultencoding_not_ascii &&
#endifPyUnicode_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) {
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#endifPyErr_Format(PyExc_TypeError,"__%.4s__ returned non-%.4s (type %.200s)",type_name, type_name, Py_TYPE(result)->tp_name);Py_DECREF(result);return NULL;
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}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {Py_ssize_t ival;PyObject *x;
#if PY_MAJOR_VERSION < 3if (likely(PyInt_CheckExact(b))) {if (sizeof(Py_ssize_t) >= sizeof(long))return PyInt_AS_LONG(b);elsereturn PyInt_AsSsize_t(x);}
#endifif (likely(PyLong_CheckExact(b))) {#if CYTHON_USE_PYLONG_INTERNALSconst 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;}}#endifreturn PyLong_AsSsize_t(b);}x = PyNumber_Index(b);if (!x) return -1;ival = PyInt_AsSsize_t(x);Py_DECREF(x);return ival;
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}#endif /* Py_PYTHON_H */

addToConfusionMatrix.c文件

// cython methods to speed-up evaluationvoid addToConfusionMatrix( const unsigned char* f_prediction_p  ,const unsigned char* f_groundTruth_p ,const unsigned int   f_width_i       ,const unsigned int   f_height_i      ,unsigned long long*  f_confMatrix_p  ,const unsigned int   f_confMatDim_i  )
{const unsigned int size_ui = f_height_i * f_width_i;for (unsigned int i = 0; i < size_ui; ++i){const unsigned char predPx = f_prediction_p [i];const unsigned char gtPx   = f_groundTruth_p[i];f_confMatrix_p[f_confMatDim_i*gtPx + predPx] += 1u;}
}

把上述文件内容如实贴出来，主要是让大家有一个感性的认识。那么接下来是关于如何编写setup.py文件取把pyx文件编译为可供Python调用的pyd格式模块。

下面是具体的编译上述addToConfusionMatrix.pyx文件的setup.py文件：

# Enable cython support for eval scripts
# Run as
# setup.py build_ext --inplace#################导入编译addToConfusionMatrix.pyx所需的依赖库#############
import os
from setuptools import setup, find_packages
has_cython = Truetry:from Cython.Build import cythonize
except:print("Unable to find dependency cython. Please install for great speed improvements when evaluating.")print("sudo pip install cython")has_cython = Falseinclude_dirs = []
try:import numpy as npinclude_dirs = np.get_include()
except:print("Unable to find numpy, please install.")print("sudo pip install numpy")#################导入编译addToConfusionMatrix.pyx所需的依赖库################设置C/C++编译器，可以用VS，这里本人机器已经安装Cygwin，所以支持g++编译器os.environ["CC"] = "g++"
os.environ["CXX"] = "g++"#################设置C/C++编译器##################################################################要编译的pyx文件路径#############################pyxFile = os.path.join("cityscapesscripts", "evaluation", "addToConfusionMatrix.pyx")#pyxFile = os.path.join("cityscapesscripts", "utils", "cython_bbox.pyx", #"cython_nms.pyx")
#pyxFile = os.path.join("cityscapesscripts", "utils", "cython_nms.pyx")#########################要编译的pyx文件路径######################################################采用cythonize进行编译#############################ext_modules = []
if has_cython:ext_modules = cythonize(pyxFile)#########################采用cythonize进行编译########################################################设置编译参数###################################config = {'name': 'it is me',         #optional参数'auyhor': 'it is me',     #optional参数'ext_modules': ext_modules,    #required参数'include_dirs': [include_dirs]  #required参数
}###########################设置编译参数###################################setup(**config)

最后在命令行（这里本人是在Anaconda Prompt命令行）执行"python setup.py build_ext --inplace"，注意命令行路径要定位到setup.py所在目录。最后生成的pyd文件名如下：

addToConfusionMatrix.cp36-win_amd64.pyd

其中cp36-win_amd64表示所用的python3.6，在windows下64amd架构64位系统环境下编译得到的pyd文件。

参考：

1. Python的.py与Cython的.pxd.pyx.pyd 文件格式之间的主要区别

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