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/* BEGIN: Cython Metadata
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END: Cython Metadata */

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#ifndef __Pyx_PyAsyncMethodsStruct
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#include <math.h>
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#define __PYX_NAN() ((float) NAN)
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static CYTHON_INLINE float __PYX_NAN() {
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}
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#define __Pyx_truncl trunc
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#define __Pyx_truncl truncl
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#ifndef __PYX_EXTERN_C
  #ifdef __cplusplus
    #define __PYX_EXTERN_C extern "C"
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    #define __PYX_EXTERN_C extern
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#define __PYX_HAVE__punyverse___glgeom
#define __PYX_HAVE_API__punyverse___glgeom
/* Early includes */
#include <math.h>
#include <string.h>
#include <stdlib.h>
#include "windows.h"
#include "GL/gl.h"
#include "stddef.h"
#include "GL/glu.h"
#ifdef _OPENMP
#include <omp.h>
#endif /* _OPENMP */

#if defined(PYREX_WITHOUT_ASSERTIONS) && !defined(CYTHON_WITHOUT_ASSERTIONS)
#define CYTHON_WITHOUT_ASSERTIONS
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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
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#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
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    (sizeof(type) == sizeof(Py_ssize_t) &&\
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#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
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static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
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#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
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    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
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#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)
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#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
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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);
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static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
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#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
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#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
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#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#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))
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#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;
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    if (!sys) goto bad;
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        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
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        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(
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        Py_DECREF(ascii_chars_u);
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bad:
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#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
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#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
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static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
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    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
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    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;
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    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
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/* 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)
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  #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;


static const char *__pyx_f[] = {
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/* NoFastGil.proto */
#define __Pyx_PyGILState_Ensure PyGILState_Ensure
#define __Pyx_PyGILState_Release PyGILState_Release
#define __Pyx_FastGIL_Remember()
#define __Pyx_FastGIL_Forget()
#define __Pyx_FastGilFuncInit()

/* ForceInitThreads.proto */
#ifndef __PYX_FORCE_INIT_THREADS
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/*--- Type declarations ---*/
struct __pyx_opt_args_9punyverse_7_glgeom_torus;
struct __pyx_opt_args_9punyverse_7_glgeom_normal_sphere;
struct __pyx_opt_args_9punyverse_7_glgeom_bgr_to_rgb;

/* "punyverse/_cyopengl.pxi":458
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enum  {
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  __pyx_e_9punyverse_7_glgeom_GL_FLOAT = 0x1406,
  __pyx_e_9punyverse_7_glgeom_GL_DOUBLE = 0x140A,
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  __pyx_e_9punyverse_7_glgeom_GL_3_BYTES = 0x1408,
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  __pyx_e_9punyverse_7_glgeom_GL_POINTS = 0x0000,
  __pyx_e_9punyverse_7_glgeom_GL_LINES = 0x0001,
  __pyx_e_9punyverse_7_glgeom_GL_LINE_LOOP = 0x0002,
  __pyx_e_9punyverse_7_glgeom_GL_LINE_STRIP = 0x0003,
  __pyx_e_9punyverse_7_glgeom_GL_TRIANGLES = 0x0004,
  __pyx_e_9punyverse_7_glgeom_GL_TRIANGLE_STRIP = 0x0005,
  __pyx_e_9punyverse_7_glgeom_GL_TRIANGLE_FAN = 0x0006,
  __pyx_e_9punyverse_7_glgeom_GL_QUADS = 0x0007,
  __pyx_e_9punyverse_7_glgeom_GL_QUAD_STRIP = 0x0008,
  __pyx_e_9punyverse_7_glgeom_GL_POLYGON = 0x0009,
  __pyx_e_9punyverse_7_glgeom_GL_VERTEX_ARRAY = 0x8074,
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  __pyx_e_9punyverse_7_glgeom_GL_VERTEX_ARRAY_STRIDE = 0x807C,
  __pyx_e_9punyverse_7_glgeom_GL_NORMAL_ARRAY_TYPE = 0x807E,
  __pyx_e_9punyverse_7_glgeom_GL_NORMAL_ARRAY_STRIDE = 0x807F,
  __pyx_e_9punyverse_7_glgeom_GL_COLOR_ARRAY_SIZE = 0x8081,
  __pyx_e_9punyverse_7_glgeom_GL_COLOR_ARRAY_TYPE = 0x8082,
  __pyx_e_9punyverse_7_glgeom_GL_COLOR_ARRAY_STRIDE = 0x8083,
  __pyx_e_9punyverse_7_glgeom_GL_INDEX_ARRAY_TYPE = 0x8085,
  __pyx_e_9punyverse_7_glgeom_GL_INDEX_ARRAY_STRIDE = 0x8086,
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  __pyx_e_9punyverse_7_glgeom_GL_TEXTURE_COORD_ARRAY_TYPE = 0x8089,
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  __pyx_e_9punyverse_7_glgeom_GL_EDGE_FLAG_ARRAY_STRIDE = 0x808C,
  __pyx_e_9punyverse_7_glgeom_GL_VERTEX_ARRAY_POINTER = 0x808E,
  __pyx_e_9punyverse_7_glgeom_GL_NORMAL_ARRAY_POINTER = 0x808F,
  __pyx_e_9punyverse_7_glgeom_GL_COLOR_ARRAY_POINTER = 0x8090,
  __pyx_e_9punyverse_7_glgeom_GL_INDEX_ARRAY_POINTER = 0x8091,
  __pyx_e_9punyverse_7_glgeom_GL_TEXTURE_COORD_ARRAY_POINTER = 0x8092,
  __pyx_e_9punyverse_7_glgeom_GL_EDGE_FLAG_ARRAY_POINTER = 0x8093,
  __pyx_e_9punyverse_7_glgeom_GL_V2F = 0x2A20,
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  __pyx_e_9punyverse_7_glgeom_GL_C4UB_V3F = 0x2A23,
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  __pyx_e_9punyverse_7_glgeom_GL_N3F_V3F = 0x2A25,
  __pyx_e_9punyverse_7_glgeom_GL_C4F_N3F_V3F = 0x2A26,
  __pyx_e_9punyverse_7_glgeom_GL_T2F_V3F = 0x2A27,
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  __pyx_e_9punyverse_7_glgeom_GL_T2F_C3F_V3F = 0x2A2A,
  __pyx_e_9punyverse_7_glgeom_GL_T2F_N3F_V3F = 0x2A2B,
  __pyx_e_9punyverse_7_glgeom_GL_T2F_C4F_N3F_V3F = 0x2A2C,
  __pyx_e_9punyverse_7_glgeom_GL_T4F_C4F_N3F_V4F = 0x2A2D,
  __pyx_e_9punyverse_7_glgeom_GL_MATRIX_MODE = 0x0BA0,
  __pyx_e_9punyverse_7_glgeom_GL_MODELVIEW = 0x1700,
  __pyx_e_9punyverse_7_glgeom_GL_PROJECTION = 0x1701,
  __pyx_e_9punyverse_7_glgeom_GL_TEXTURE = 0x1702,
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  __pyx_e_9punyverse_7_glgeom_GL_POINT_SIZE_GRANULARITY = 0x0B13,
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  __pyx_e_9punyverse_7_glgeom_GL_LINE_SMOOTH = 0x0B20,
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  __pyx_e_9punyverse_7_glgeom_GL_LINE_WIDTH_GRANULARITY = 0x0B23,
  __pyx_e_9punyverse_7_glgeom_GL_LINE_WIDTH_RANGE = 0x0B22,
  __pyx_e_9punyverse_7_glgeom_GL_POINT = 0x1B00,
  __pyx_e_9punyverse_7_glgeom_GL_LINE = 0x1B01,
  __pyx_e_9punyverse_7_glgeom_GL_FILL = 0x1B02,
  __pyx_e_9punyverse_7_glgeom_GL_CW = 0x0900,
  __pyx_e_9punyverse_7_glgeom_GL_CCW = 0x0901,
  __pyx_e_9punyverse_7_glgeom_GL_FRONT = 0x0404,
  __pyx_e_9punyverse_7_glgeom_GL_BACK = 0x0405,
  __pyx_e_9punyverse_7_glgeom_GL_POLYGON_MODE = 0x0B40,
  __pyx_e_9punyverse_7_glgeom_GL_POLYGON_SMOOTH = 0x0B41,
  __pyx_e_9punyverse_7_glgeom_GL_POLYGON_STIPPLE = 0x0B42,
  __pyx_e_9punyverse_7_glgeom_GL_EDGE_FLAG = 0x0B43,
  __pyx_e_9punyverse_7_glgeom_GL_CULL_FACE = 0x0B44,
  __pyx_e_9punyverse_7_glgeom_GL_CULL_FACE_MODE = 0x0B45,
  __pyx_e_9punyverse_7_glgeom_GL_FRONT_FACE = 0x0B46,
  __pyx_e_9punyverse_7_glgeom_GL_POLYGON_OFFSET_FACTOR = 0x8038,
  __pyx_e_9punyverse_7_glgeom_GL_POLYGON_OFFSET_UNITS = 0x2A00,
  __pyx_e_9punyverse_7_glgeom_GL_POLYGON_OFFSET_POINT = 0x2A01,
  __pyx_e_9punyverse_7_glgeom_GL_POLYGON_OFFSET_LINE = 0x2A02,
  __pyx_e_9punyverse_7_glgeom_GL_POLYGON_OFFSET_FILL = 0x8037,
  __pyx_e_9punyverse_7_glgeom_GL_COMPILE = 0x1300,
  __pyx_e_9punyverse_7_glgeom_GL_COMPILE_AND_EXECUTE = 0x1301,
  __pyx_e_9punyverse_7_glgeom_GL_LIST_BASE = 0x0B32,
  __pyx_e_9punyverse_7_glgeom_GL_LIST_INDEX = 0x0B33,
  __pyx_e_9punyverse_7_glgeom_GL_LIST_MODE = 0x0B30,
  __pyx_e_9punyverse_7_glgeom_GL_NEVER = 0x0200,
  __pyx_e_9punyverse_7_glgeom_GL_LESS = 0x0201,
  __pyx_e_9punyverse_7_glgeom_GL_EQUAL = 0x0202,
  __pyx_e_9punyverse_7_glgeom_GL_LEQUAL = 0x0203,
  __pyx_e_9punyverse_7_glgeom_GL_GREATER = 0x0204,
  __pyx_e_9punyverse_7_glgeom_GL_NOTEQUAL = 0x0205,
  __pyx_e_9punyverse_7_glgeom_GL_GEQUAL = 0x0206,
  __pyx_e_9punyverse_7_glgeom_GL_ALWAYS = 0x0207,
  __pyx_e_9punyverse_7_glgeom_GL_DEPTH_TEST = 0x0B71,
  __pyx_e_9punyverse_7_glgeom_GL_DEPTH_BITS = 0x0D56,
  __pyx_e_9punyverse_7_glgeom_GL_DEPTH_CLEAR_VALUE = 0x0B73,
  __pyx_e_9punyverse_7_glgeom_GL_DEPTH_FUNC = 0x0B74,
  __pyx_e_9punyverse_7_glgeom_GL_DEPTH_RANGE = 0x0B70,
  __pyx_e_9punyverse_7_glgeom_GL_DEPTH_WRITEMASK = 0x0B72,
  __pyx_e_9punyverse_7_glgeom_GL_DEPTH_COMPONENT = 0x1902,
  __pyx_e_9punyverse_7_glgeom_GL_LIGHTING = 0x0B50,
  __pyx_e_9punyverse_7_glgeom_GL_LIGHT0 = 0x4000,
  __pyx_e_9punyverse_7_glgeom_GL_LIGHT1 = 0x4001,
  __pyx_e_9punyverse_7_glgeom_GL_LIGHT2 = 0x4002,
  __pyx_e_9punyverse_7_glgeom_GL_LIGHT3 = 0x4003,
  __pyx_e_9punyverse_7_glgeom_GL_LIGHT4 = 0x4004,
  __pyx_e_9punyverse_7_glgeom_GL_LIGHT5 = 0x4005,
  __pyx_e_9punyverse_7_glgeom_GL_LIGHT6 = 0x4006,
  __pyx_e_9punyverse_7_glgeom_GL_LIGHT7 = 0x4007,
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  __pyx_e_9punyverse_7_glgeom_GL_SPOT_CUTOFF = 0x1206,
  __pyx_e_9punyverse_7_glgeom_GL_CONSTANT_ATTENUATION = 0x1207,
  __pyx_e_9punyverse_7_glgeom_GL_LINEAR_ATTENUATION = 0x1208,
  __pyx_e_9punyverse_7_glgeom_GL_QUADRATIC_ATTENUATION = 0x1209,
  __pyx_e_9punyverse_7_glgeom_GL_AMBIENT = 0x1200,
  __pyx_e_9punyverse_7_glgeom_GL_DIFFUSE = 0x1201,
  __pyx_e_9punyverse_7_glgeom_GL_SPECULAR = 0x1202,
  __pyx_e_9punyverse_7_glgeom_GL_SHININESS = 0x1601,
  __pyx_e_9punyverse_7_glgeom_GL_EMISSION = 0x1600,
  __pyx_e_9punyverse_7_glgeom_GL_POSITION = 0x1203,
  __pyx_e_9punyverse_7_glgeom_GL_SPOT_DIRECTION = 0x1204,
  __pyx_e_9punyverse_7_glgeom_GL_AMBIENT_AND_DIFFUSE = 0x1602,
  __pyx_e_9punyverse_7_glgeom_GL_COLOR_INDEXES = 0x1603,
  __pyx_e_9punyverse_7_glgeom_GL_LIGHT_MODEL_TWO_SIDE = 0x0B52,
  __pyx_e_9punyverse_7_glgeom_GL_LIGHT_MODEL_LOCAL_VIEWER = 0x0B51,
  __pyx_e_9punyverse_7_glgeom_GL_LIGHT_MODEL_AMBIENT = 0x0B53,
  __pyx_e_9punyverse_7_glgeom_GL_FRONT_AND_BACK = 0x0408,
  __pyx_e_9punyverse_7_glgeom_GL_SHADE_MODEL = 0x0B54,
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  __pyx_e_9punyverse_7_glgeom_GL_SMOOTH = 0x1D01,
  __pyx_e_9punyverse_7_glgeom_GL_COLOR_MATERIAL = 0x0B57,
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  __pyx_e_9punyverse_7_glgeom_GL_COLOR_MATERIAL_PARAMETER = 0x0B56,
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  __pyx_e_9punyverse_7_glgeom_GL_CLIP_PLANE1 = 0x3001,
  __pyx_e_9punyverse_7_glgeom_GL_CLIP_PLANE2 = 0x3002,
  __pyx_e_9punyverse_7_glgeom_GL_CLIP_PLANE3 = 0x3003,
  __pyx_e_9punyverse_7_glgeom_GL_CLIP_PLANE4 = 0x3004,
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  __pyx_e_9punyverse_7_glgeom_GL_ACCUM_CLEAR_VALUE = 0x0B80,
  __pyx_e_9punyverse_7_glgeom_GL_ACCUM = 0x0100,
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  __pyx_e_9punyverse_7_glgeom_GL_RETURN = 0x0102,
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  __pyx_e_9punyverse_7_glgeom_GL_BLEND = 0x0BE2,
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  __pyx_e_9punyverse_7_glgeom_GL_ONE_MINUS_SRC_ALPHA = 0x0303,
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  __pyx_e_9punyverse_7_glgeom_GL_ONE_MINUS_DST_ALPHA = 0x0305,
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  __pyx_e_9punyverse_7_glgeom_GL_ONE_MINUS_DST_COLOR = 0x0307,
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  __pyx_e_9punyverse_7_glgeom_GL_ONE_MINUS_CONSTANT_COLOR = 0x8002,
  __pyx_e_9punyverse_7_glgeom_GL_CONSTANT_ALPHA = 0x8003,
  __pyx_e_9punyverse_7_glgeom_GL_ONE_MINUS_CONSTANT_ALPHA = 0x8004,
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  __pyx_e_9punyverse_7_glgeom_GL_3D = 0x0601,
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  __pyx_e_9punyverse_7_glgeom_GL_LINE_TOKEN = 0x0702,
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  __pyx_e_9punyverse_7_glgeom_GL_COPY_PIXEL_TOKEN = 0x0706,
  __pyx_e_9punyverse_7_glgeom_GL_PASS_THROUGH_TOKEN = 0x0700,
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  __pyx_e_9punyverse_7_glgeom_GL_FEEDBACK_BUFFER_TYPE = 0x0DF2,
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  __pyx_e_9punyverse_7_glgeom_GL_FOG = 0x0B60,
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  __pyx_e_9punyverse_7_glgeom_GL_FOG_START = 0x0B63,
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  __pyx_e_9punyverse_7_glgeom_GL_EXP = 0x0800,
  __pyx_e_9punyverse_7_glgeom_GL_EXP2 = 0x0801,
  __pyx_e_9punyverse_7_glgeom_GL_LOGIC_OP = 0x0BF1,
  __pyx_e_9punyverse_7_glgeom_GL_INDEX_LOGIC_OP = 0x0BF1,
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  __pyx_e_9punyverse_7_glgeom_GL_NOOP = 0x1505,
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  __pyx_e_9punyverse_7_glgeom_GL_BLUE = 0x1905,
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  __pyx_e_9punyverse_7_glgeom_GL_ALPHA_BITS = 0x0D55,
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/* "punyverse/_glgeom.pyx":16
 * 
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 */
struct __pyx_opt_args_9punyverse_7_glgeom_torus {
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};

/* "punyverse/_glgeom.pyx":70
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struct __pyx_opt_args_9punyverse_7_glgeom_normal_sphere {
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/* "punyverse/_glgeom.pyx":145
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/* Module declarations from 'punyverse._glgeom' */
static float __pyx_v_9punyverse_7_glgeom_GLU_TESS_MAX_COORD;
static float __pyx_v_9punyverse_7_glgeom_PI;
static float __pyx_v_9punyverse_7_glgeom_TWOPI;
static PyObject *__pyx_f_9punyverse_7_glgeom_torus(float, float, int, int, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_9punyverse_7_glgeom_torus *__pyx_optional_args); /*proto*/
static PyObject *__pyx_f_9punyverse_7_glgeom_normal_sphere(double, int, GLuint, PyObject *, int __pyx_skip_dispatch, struct __pyx_opt_args_9punyverse_7_glgeom_normal_sphere *__pyx_optional_args); /*proto*/
static PyObject *__pyx_f_9punyverse_7_glgeom_bgr_to_rgb(PyObject *, int, int, int __pyx_skip_dispatch, struct __pyx_opt_args_9punyverse_7_glgeom_bgr_to_rgb *__pyx_optional_args); /*proto*/
#define __Pyx_MODULE_NAME "punyverse._glgeom"
extern int __pyx_module_is_main_punyverse___glgeom;
int __pyx_module_is_main_punyverse___glgeom = 0;

/* Implementation of 'punyverse._glgeom' */
static PyObject *__pyx_builtin_xrange;
static const char __pyx_k_r[] = "r";
static const char __pyx_k_end[] = "end";
static const char __pyx_k_tex[] = "tex";
static const char __pyx_k_file[] = "file";
static const char __pyx_k_load[] = "load";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_size[] = "size";
static const char __pyx_k_test[] = "__test__";
static const char __pyx_k_alpha[] = "alpha";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_width[] = "width";
static const char __pyx_k_Loaded[] = "Loaded";
static const char __pyx_k_buffer[] = "buffer";
static const char __pyx_k_divide[] = "divide";
static const char __pyx_k_height[] = "height";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_normal[] = "normal";
static const char __pyx_k_xrange[] = "xrange";
static const char __pyx_k_n_major[] = "n_major";
static const char __pyx_k_n_minor[] = "n_minor";
static const char __pyx_k_texture[] = "texture";
static const char __pyx_k_lighting[] = "lighting";
static const char __pyx_k_material[] = "material";
static const char __pyx_k_pil_load[] = "pil_load";
static const char __pyx_k_bottom_up[] = "bottom_up";
static const char __pyx_k_shininess[] = "shininess";
static const char __pyx_k_major_radius[] = "major_radius";
static const char __pyx_k_minor_radius[] = "minor_radius";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_Loading_normal_map_s[] = "Loading normal map: %s...";
static PyObject *__pyx_n_s_Loaded;
static PyObject *__pyx_kp_s_Loading_normal_map_s;
static PyObject *__pyx_n_s_alpha;
static PyObject *__pyx_n_s_bottom_up;
static PyObject *__pyx_n_s_buffer;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_divide;
static PyObject *__pyx_n_s_end;
static PyObject *__pyx_n_s_file;
static PyObject *__pyx_n_s_height;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_lighting;
static PyObject *__pyx_n_s_load;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_major_radius;
static PyObject *__pyx_n_s_material;
static PyObject *__pyx_n_s_minor_radius;
static PyObject *__pyx_n_s_n_major;
static PyObject *__pyx_n_s_n_minor;
static PyObject *__pyx_n_s_normal;
static PyObject *__pyx_n_s_pil_load;
static PyObject *__pyx_n_s_print;
static PyObject *__pyx_n_s_r;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_shininess;
static PyObject *__pyx_n_s_size;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_tex;
static PyObject *__pyx_n_s_texture;
static PyObject *__pyx_n_s_width;
static PyObject *__pyx_n_s_xrange;
static PyObject *__pyx_pf_9punyverse_7_glgeom_torus(CYTHON_UNUSED PyObject *__pyx_self, float __pyx_v_major_radius, float __pyx_v_minor_radius, int __pyx_v_n_major, int __pyx_v_n_minor, PyObject *__pyx_v_material, int __pyx_v_shininess); /* proto */
static PyObject *__pyx_pf_9punyverse_7_glgeom_2normal_sphere(CYTHON_UNUSED PyObject *__pyx_self, double __pyx_v_r, int __pyx_v_divide, GLuint __pyx_v_tex, PyObject *__pyx_v_normal, int __pyx_v_lighting); /* proto */
static PyObject *__pyx_pf_9punyverse_7_glgeom_4bgr_to_rgb(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_buffer, int __pyx_v_width, int __pyx_v_height, int __pyx_v_alpha, int __pyx_v_bottom_up); /* proto */
static PyObject *__pyx_int_0;
static PyObject *__pyx_tuple_;
/* Late includes */

/* "punyverse/_glgeom.pyx":16
 * 
 * @cython.cdivision(True)
 * cpdef torus(float major_radius, float minor_radius, int n_major, int n_minor, tuple material, int shininess=125):             # <<<<<<<<<<<<<<
 *     """
 *         Torus function from the OpenGL red book.
 */

static PyObject *__pyx_pw_9punyverse_7_glgeom_1torus(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static PyObject *__pyx_f_9punyverse_7_glgeom_torus(float __pyx_v_major_radius, float __pyx_v_minor_radius, int __pyx_v_n_major, int __pyx_v_n_minor, PyObject *__pyx_v_material, CYTHON_UNUSED int __pyx_skip_dispatch, struct __pyx_opt_args_9punyverse_7_glgeom_torus *__pyx_optional_args) {
  int __pyx_v_shininess = ((int)0x7D);
  float __pyx_v_major_s;
  float __pyx_v_minor_s;
  float __pyx_v_a0;
  float __pyx_v_a1;
  float __pyx_v_x0;
  float __pyx_v_y0;
  float __pyx_v_x1;
  float __pyx_v_y1;
  float __pyx_v_b;
  float __pyx_v_c;
  float __pyx_v_r;
  float __pyx_v_z;
  float __pyx_v_m;
  float __pyx_v_x;
  float __pyx_v_y;
  float __pyx_v_z2;
  int __pyx_v_i;
  int __pyx_v_j;
  PyObject *__pyx_r = NULL;
  __Pyx_RefNannyDeclarations
  PyObject *__pyx_t_1 = NULL;
  GLfloat __pyx_t_2;
  GLfloat __pyx_t_3;
  GLfloat __pyx_t_4;
  GLfloat __pyx_t_5;
  GLfloat __pyx_t_6[4];
  GLfloat __pyx_t_7[4];
  int __pyx_t_8;
  int __pyx_t_9;
  int __pyx_t_10;
  int __pyx_t_11;
  int __pyx_t_12;
  long __pyx_t_13;
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    }
  }

  /* "punyverse/_glgeom.pyx":20
 *         Torus function from the OpenGL red book.
 *     """
 *     glPushAttrib(GL_CURRENT_BIT)             # <<<<<<<<<<<<<<
 *     glMaterialfv(GL_FRONT_AND_BACK, GL_AMBIENT_AND_DIFFUSE, [material[0], material[1], material[2], material[3]])
 *     glMaterialfv(GL_FRONT_AND_BACK, GL_SPECULAR, [1, 1, 1, 1])
 */
  glPushAttrib(__pyx_e_9punyverse_7_glgeom_GL_CURRENT_BIT);

  /* "punyverse/_glgeom.pyx":21
 *     """
 *     glPushAttrib(GL_CURRENT_BIT)
 *     glMaterialfv(GL_FRONT_AND_BACK, GL_AMBIENT_AND_DIFFUSE, [material[0], material[1], material[2], material[3]])             # <<<<<<<<<<<<<<
 *     glMaterialfv(GL_FRONT_AND_BACK, GL_SPECULAR, [1, 1, 1, 1])
 *     glMaterialf(GL_FRONT_AND_BACK, GL_SHININESS, shininess)
 */
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    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not subscriptable");
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  }
  __pyx_t_1 = __Pyx_GetItemInt_Tuple(__pyx_v_material, 0, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_2 = __pyx_PyFloat_AsFloat(__pyx_t_1); if (unlikely((__pyx_t_2 == ((GLfloat)-1)) && PyErr_Occurred())) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (unlikely(__pyx_v_material == Py_None)) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not subscriptable");
    __PYX_ERR(0, 21, __pyx_L1_error)
  }
  __pyx_t_1 = __Pyx_GetItemInt_Tuple(__pyx_v_material, 1, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_3 = __pyx_PyFloat_AsFloat(__pyx_t_1); if (unlikely((__pyx_t_3 == ((GLfloat)-1)) && PyErr_Occurred())) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (unlikely(__pyx_v_material == Py_None)) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not subscriptable");
    __PYX_ERR(0, 21, __pyx_L1_error)
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  __pyx_t_1 = __Pyx_GetItemInt_Tuple(__pyx_v_material, 2, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_4 = __pyx_PyFloat_AsFloat(__pyx_t_1); if (unlikely((__pyx_t_4 == ((GLfloat)-1)) && PyErr_Occurred())) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  if (unlikely(__pyx_v_material == Py_None)) {
    PyErr_SetString(PyExc_TypeError, "'NoneType' object is not subscriptable");
    __PYX_ERR(0, 21, __pyx_L1_error)
  }
  __pyx_t_1 = __Pyx_GetItemInt_Tuple(__pyx_v_material, 3, long, 1, __Pyx_PyInt_From_long, 0, 0, 1); if (unlikely(!__pyx_t_1)) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_GOTREF(__pyx_t_1);
  __pyx_t_5 = __pyx_PyFloat_AsFloat(__pyx_t_1); if (unlikely((__pyx_t_5 == ((GLfloat)-1)) && PyErr_Occurred())) __PYX_ERR(0, 21, __pyx_L1_error)
  __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
  __pyx_t_6[0] = __pyx_t_2;
  __pyx_t_6[1] = __pyx_t_3;
  __pyx_t_6[2] = __pyx_t_4;
  __pyx_t_6[3] = __pyx_t_5;
  glMaterialfv(__pyx_e_9punyverse_7_glgeom_GL_FRONT_AND_BACK, __pyx_e_9punyverse_7_glgeom_GL_AMBIENT_AND_DIFFUSE, __pyx_t_6);

  /* "punyverse/_glgeom.pyx":22
 *     glPushAttrib(GL_CURRENT_BIT)
 *     glMaterialfv(GL_FRONT_AND_BACK, GL_AMBIENT_AND_DIFFUSE, [material[0], material[1], material[2], material[3]])
 *     glMaterialfv(GL_FRONT_AND_BACK, GL_SPECULAR, [1, 1, 1, 1])             # <<<<<<<<<<<<<<
 *     glMaterialf(GL_FRONT_AND_BACK, GL_SHININESS, shininess)
 * 
 */
  __pyx_t_7[0] = 1.0;
  __pyx_t_7[1] = 1.0;
  __pyx_t_7[2] = 1.0;
  __pyx_t_7[3] = 1.0;
  glMaterialfv(__pyx_e_9punyverse_7_glgeom_GL_FRONT_AND_BACK, __pyx_e_9punyverse_7_glgeom_GL_SPECULAR, __pyx_t_7);

  /* "punyverse/_glgeom.pyx":23
 *     glMaterialfv(GL_FRONT_AND_BACK, GL_AMBIENT_AND_DIFFUSE, [material[0], material[1], material[2], material[3]])
 *     glMaterialfv(GL_FRONT_AND_BACK, GL_SPECULAR, [1, 1, 1, 1])
 *     glMaterialf(GL_FRONT_AND_BACK, GL_SHININESS, shininess)             # <<<<<<<<<<<<<<
 * 
 *     assert n_major > 0 and n_minor > 0
 */
  glMaterialf(__pyx_e_9punyverse_7_glgeom_GL_FRONT_AND_BACK, __pyx_e_9punyverse_7_glgeom_GL_SHININESS, __pyx_v_shininess);

  /* "punyverse/_glgeom.pyx":25
 *     glMaterialf(GL_FRONT_AND_BACK, GL_SHININESS, shininess)
 * 
 *     assert n_major > 0 and n_minor > 0             # <<<<<<<<<<<<<<
 *     assert minor_radius > 0 and major_radius > 0
 * 
 */
  #ifndef CYTHON_WITHOUT_ASSERTIONS
  if (unlikely(!Py_OptimizeFlag)) {
    __pyx_t_9 = ((__pyx_v_n_major > 0) != 0);
    if (__pyx_t_9) {
    } else {
      __pyx_t_8 = __pyx_t_9;
      goto __pyx_L3_bool_binop_done;
    }
    __pyx_t_9 = ((__pyx_v_n_minor > 0) != 0);
    __pyx_t_8 = __pyx_t_9;
    __pyx_L3_bool_binop_done:;
    if (unlikely(!__pyx_t_8)) {
      PyErr_SetNone(PyExc_AssertionError);
      __PYX_ERR(0, 25, __pyx_L1_error)
    }
  }
  #endif

  /* "punyverse/_glgeom.pyx":26
 * 
 *     assert n_major > 0 and n_minor > 0
 *     assert minor_radius > 0 and major_radius > 0             # <<<<<<<<<<<<<<
 * 
 *     cdef float major_s, minor_s
 */
  #ifndef CYTHON_WITHOUT_ASSERTIONS
  if (unlikely(!Py_OptimizeFlag)) {
    __pyx_t_9 = ((__pyx_v_minor_radius > 0.0) != 0);
    if (__pyx_t_9) {
    } else {
      __pyx_t_8 = __pyx_t_9;
      goto __pyx_L5_bool_binop_done;
    }
    __pyx_t_9 = ((__pyx_v_major_radius > 0.0) != 0);
    __pyx_t_8 = __pyx_t_9;
    __pyx_L5_bool_binop_done:;
    if (unlikely(!__pyx_t_8)) {
      PyErr_SetNone(PyExc_AssertionError);
      __PYX_ERR(0, 26, __pyx_L1_error)
    }
  }
  #endif

  /* "punyverse/_glgeom.pyx":32
 *     cdef int i, j
 * 
 *     with nogil:             # <<<<<<<<<<<<<<
 *         major_s = TWOPI / n_major
 *         minor_s = TWOPI / n_minor
 */
  {
      #ifdef WITH_THREAD
      PyThreadState *_save;
      Py_UNBLOCK_THREADS
      __Pyx_FastGIL_Remember();
      #endif
      /*try:*/ {

        /* "punyverse/_glgeom.pyx":33
 * 
 *     with nogil:
 *         major_s = TWOPI / n_major             # <<<<<<<<<<<<<<
 *         minor_s = TWOPI / n_minor
 * 
 */
        __pyx_v_major_s = (__pyx_v_9punyverse_7_glgeom_TWOPI / __pyx_v_n_major);

        /* "punyverse/_glgeom.pyx":34
 *     with nogil:
 *         major_s = TWOPI / n_major
 *         minor_s = TWOPI / n_minor             # <<<<<<<<<<<<<<
 * 
 *         for i in xrange(n_major):
 */
        __pyx_v_minor_s = (__pyx_v_9punyverse_7_glgeom_TWOPI / __pyx_v_n_minor);

        /* "punyverse/_glgeom.pyx":36
 *         minor_s = TWOPI / n_minor
 * 
 *         for i in xrange(n_major):             # <<<<<<<<<<<<<<
 *             a0 = i * major_s
 *             a1 = a0 + major_s
 */
        __pyx_t_10 = __pyx_v_n_major;
        __pyx_t_11 = __pyx_t_10;
        for (__pyx_t_12 = 0; __pyx_t_12 < __pyx_t_11; __pyx_t_12+=1) {
          __pyx_v_i = __pyx_t_12;

          /* "punyverse/_glgeom.pyx":37
 * 
 *         for i in xrange(n_major):
 *             a0 = i * major_s             # <<<<<<<<<<<<<<
 *             a1 = a0 + major_s
 *             x0 = cos(a0)
 */
          __pyx_v_a0 = (__pyx_v_i * __pyx_v_major_s);

          /* "punyverse/_glgeom.pyx":38
 *         for i in xrange(n_major):
 *             a0 = i * major_s
 *             a1 = a0 + major_s             # <<<<<<<<<<<<<<
 *             x0 = cos(a0)
 *             y0 = sin(a0)
 */
          __pyx_v_a1 = (__pyx_v_a0 + __pyx_v_major_s);

          /* "punyverse/_glgeom.pyx":39
 *             a0 = i * major_s
 *             a1 = a0 + major_s
 *             x0 = cos(a0)             # <<<<<<<<<<<<<<
 *             y0 = sin(a0)
 *             x1 = cos(a1)
 */
          __pyx_v_x0 = cos(__pyx_v_a0);

          /* "punyverse/_glgeom.pyx":40
 *             a1 = a0 + major_s
 *             x0 = cos(a0)
 *             y0 = sin(a0)             # <<<<<<<<<<<<<<
 *             x1 = cos(a1)
 *             y1 = sin(a1)
 */
          __pyx_v_y0 = sin(__pyx_v_a0);

          /* "punyverse/_glgeom.pyx":41
 *             x0 = cos(a0)
 *             y0 = sin(a0)
 *             x1 = cos(a1)             # <<<<<<<<<<<<<<
 *             y1 = sin(a1)
 * 
 */
          __pyx_v_x1 = cos(__pyx_v_a1);

          /* "punyverse/_glgeom.pyx":42
 *             y0 = sin(a0)
 *             x1 = cos(a1)
 *             y1 = sin(a1)             # <<<<<<<<<<<<<<
 * 
 *             glBegin(GL_TRIANGLE_STRIP)
 */
          __pyx_v_y1 = sin(__pyx_v_a1);

          /* "punyverse/_glgeom.pyx":44
 *             y1 = sin(a1)
 * 
 *             glBegin(GL_TRIANGLE_STRIP)             # <<<<<<<<<<<<<<
 * 
 *             for j in xrange(n_minor + 1):
 */
          glBegin(__pyx_e_9punyverse_7_glgeom_GL_TRIANGLE_STRIP);

          /* "punyverse/_glgeom.pyx":46
 *             glBegin(GL_TRIANGLE_STRIP)
 * 
 *             for j in xrange(n_minor + 1):             # <<<<<<<<<<<<<<
 *                 b = j * minor_s
 *                 c = cos(b)
 */
          __pyx_t_13 = (__pyx_v_n_minor + 1);
          __pyx_t_14 = __pyx_t_13;
          for (__pyx_t_15 = 0; __pyx_t_15 < __pyx_t_14; __pyx_t_15+=1) {
            __pyx_v_j = __pyx_t_15;

            /* "punyverse/_glgeom.pyx":47
 * 
 *             for j in xrange(n_minor + 1):
 *                 b = j * minor_s             # <<<<<<<<<<<<<<
 *                 c = cos(b)
 *                 r = minor_radius * c + major_radius
 */
            __pyx_v_b = (__pyx_v_j * __pyx_v_minor_s);

            /* "punyverse/_glgeom.pyx":48
 *             for j in xrange(n_minor + 1):
 *                 b = j * minor_s
 *                 c = cos(b)             # <<<<<<<<<<<<<<
 *                 r = minor_radius * c + major_radius
 *                 z = minor_radius * sin(b)
 */
            __pyx_v_c = cos(__pyx_v_b);

            /* "punyverse/_glgeom.pyx":49
 *                 b = j * minor_s
 *                 c = cos(b)
 *                 r = minor_radius * c + major_radius             # <<<<<<<<<<<<<<
 *                 z = minor_radius * sin(b)
 * 
 */
            __pyx_v_r = ((__pyx_v_minor_radius * __pyx_v_c) + __pyx_v_major_radius);

            /* "punyverse/_glgeom.pyx":50
 *                 c = cos(b)
 *                 r = minor_radius * c + major_radius
 *                 z = minor_radius * sin(b)             # <<<<<<<<<<<<<<
 * 
 *                 x = x0 * c
 */
            __pyx_v_z = (__pyx_v_minor_radius * sin(__pyx_v_b));

            /* "punyverse/_glgeom.pyx":52
 *                 z = minor_radius * sin(b)
 * 
 *                 x = x0 * c             # <<<<<<<<<<<<<<
 *                 y = y0 * c
 *                 z2 = z / minor_radius
 */
            __pyx_v_x = (__pyx_v_x0 * __pyx_v_c);

            /* "punyverse/_glgeom.pyx":53
 * 
 *                 x = x0 * c
 *                 y = y0 * c             # <<<<<<<<<<<<<<
 *                 z2 = z / minor_radius
 *                 m = 1.0 / sqrt(x * x + y * y + z2 * z2)
 */
            __pyx_v_y = (__pyx_v_y0 * __pyx_v_c);

            /* "punyverse/_glgeom.pyx":54
 *                 x = x0 * c
 *                 y = y0 * c
 *                 z2 = z / minor_radius             # <<<<<<<<<<<<<<
 *                 m = 1.0 / sqrt(x * x + y * y + z2 * z2)
 *                 glNormal3f(x * m, y * z, z2 * m)
 */
            __pyx_v_z2 = (__pyx_v_z / __pyx_v_minor_radius);

            /* "punyverse/_glgeom.pyx":55
 *                 y = y0 * c
 *                 z2 = z / minor_radius
 *                 m = 1.0 / sqrt(x * x + y * y + z2 * z2)             # <<<<<<<<<<<<<<
 *                 glNormal3f(x * m, y * z, z2 * m)
 *                 glVertex3f(x0 * r, y0 * r, z)
 */
            __pyx_v_m = (1.0 / sqrt((((__pyx_v_x * __pyx_v_x) + (__pyx_v_y * __pyx_v_y)) + (__pyx_v_z2 * __pyx_v_z2))));

            /* "punyverse/_glgeom.pyx":56
 *                 z2 = z / minor_radius
 *                 m = 1.0 / sqrt(x * x + y * y + z2 * z2)
 *                 glNormal3f(x * m, y * z, z2 * m)             # <<<<<<<<<<<<<<
 *                 glVertex3f(x0 * r, y0 * r, z)
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 * 
 */
  __pyx_v_9punyverse_7_glgeom_PI = 3.1415926535897932324626;

  /* "punyverse/_glgeom.pyx":8
 * include "_cyopengl.pxi"
 * cdef float PI = 3.1415926535897932324626
 * cdef float TWOPI = PI * 2             # <<<<<<<<<<<<<<
 * 
 * cdef extern from "Python.h":
 */
  __pyx_v_9punyverse_7_glgeom_TWOPI = (__pyx_v_9punyverse_7_glgeom_PI * 2.0);

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#if PY_MAJOR_VERSION < 3
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#endif
    return PyObject_GetAttr(obj, attr_name);
}
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/* GetBuiltinName */
static PyObject *__Pyx_GetBuiltinName(PyObject *name) {
    PyObject* result = __Pyx_PyObject_GetAttrStr(__pyx_b, name);
    if (unlikely(!result)) {
        PyErr_Format(PyExc_NameError,
#if PY_MAJOR_VERSION >= 3
            "name '%U' is not defined", name);
#else
            "name '%.200s' is not defined", PyString_AS_STRING(name));
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    }
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/* GetItemInt */
static PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
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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;
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    if ((!boundscheck) || likely((0 <= wrapped_i) & (wrapped_i < PyList_GET_SIZE(o)))) {
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    return __Pyx_GetItemInt_Generic(o, PyInt_FromSsize_t(i));
#else
    return PySequence_GetItem(o, i);
#endif
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static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i,
                                                              CYTHON_NCP_UNUSED int wraparound,
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#if CYTHON_ASSUME_SAFE_MACROS && !CYTHON_AVOID_BORROWED_REFS
    Py_ssize_t wrapped_i = i;
    if (wraparound & unlikely(i < 0)) {
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    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));
}

/* RaiseArgTupleInvalid */
static void __Pyx_RaiseArgtupleInvalid(
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    int exact,
    Py_ssize_t num_min,
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    Py_ssize_t num_found)
{
    Py_ssize_t num_expected;
    const char *more_or_less;
    if (num_found < num_min) {
        num_expected = num_min;
        more_or_less = "at least";
    } else {
        num_expected = num_max;
        more_or_less = "at most";
    }
    if (exact) {
        more_or_less = "exactly";
    }
    PyErr_Format(PyExc_TypeError,
                 "%.200s() takes %.8s %" CYTHON_FORMAT_SSIZE_T "d positional argument%.1s (%" CYTHON_FORMAT_SSIZE_T "d given)",
                 func_name, more_or_less, num_expected,
                 (num_expected == 1) ? "" : "s", num_found);
}

/* RaiseDoubleKeywords */
static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name,
    PyObject* kw_name)
{
    PyErr_Format(PyExc_TypeError,
        #if PY_MAJOR_VERSION >= 3
        "%s() got multiple values for keyword argument '%U'", func_name, kw_name);
        #else
        "%s() got multiple values for keyword argument '%s'", func_name,
        PyString_AsString(kw_name));
        #endif
}

/* ParseKeywords */
static int __Pyx_ParseOptionalKeywords(
    PyObject *kwds,
    PyObject **argnames[],
    PyObject *kwds2,
    PyObject *values[],
    Py_ssize_t num_pos_args,
    const char* function_name)
{
    PyObject *key = 0, *value = 0;
    Py_ssize_t pos = 0;
    PyObject*** name;
    PyObject*** first_kw_arg = argnames + num_pos_args;
    while (PyDict_Next(kwds, &pos, &key, &value)) {
        name = first_kw_arg;
        while (*name && (**name != key)) name++;
        if (*name) {
            values[name-argnames] = value;
            continue;
        }
        name = first_kw_arg;
        #if PY_MAJOR_VERSION < 3
        if (likely(PyString_CheckExact(key)) || likely(PyString_Check(key))) {
            while (*name) {
                if ((CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**name) == PyString_GET_SIZE(key))
                        && _PyString_Eq(**name, key)) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    if ((**argname == key) || (
                            (CYTHON_COMPILING_IN_PYPY || PyString_GET_SIZE(**argname) == PyString_GET_SIZE(key))
                             && _PyString_Eq(**argname, key))) {
                        goto arg_passed_twice;
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                    argname++;
                }
            }
        } else
        #endif
        if (likely(PyUnicode_Check(key))) {
            while (*name) {
                int cmp = (**name == key) ? 0 :
                #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                    (PyUnicode_GET_SIZE(**name) != PyUnicode_GET_SIZE(key)) ? 1 :
                #endif
                    PyUnicode_Compare(**name, key);
                if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                if (cmp == 0) {
                    values[name-argnames] = value;
                    break;
                }
                name++;
            }
            if (*name) continue;
            else {
                PyObject*** argname = argnames;
                while (argname != first_kw_arg) {
                    int cmp = (**argname == key) ? 0 :
                    #if !CYTHON_COMPILING_IN_PYPY && PY_MAJOR_VERSION >= 3
                        (PyUnicode_GET_SIZE(**argname) != PyUnicode_GET_SIZE(key)) ? 1 :
                    #endif
                        PyUnicode_Compare(**argname, key);
                    if (cmp < 0 && unlikely(PyErr_Occurred())) goto bad;
                    if (cmp == 0) goto arg_passed_twice;
                    argname++;
                }
            }
        } else
            goto invalid_keyword_type;
        if (kwds2) {
            if (unlikely(PyDict_SetItem(kwds2, key, value))) goto bad;
        } else {
            goto invalid_keyword;
        }
    }
    return 0;
arg_passed_twice:
    __Pyx_RaiseDoubleKeywordsError(function_name, key);
    goto bad;
invalid_keyword_type:
    PyErr_Format(PyExc_TypeError,
        "%.200s() keywords must be strings", function_name);
    goto bad;
invalid_keyword:
    PyErr_Format(PyExc_TypeError,
    #if PY_MAJOR_VERSION < 3
        "%.200s() got an unexpected keyword argument '%.200s'",
        function_name, PyString_AsString(key));
    #else
        "%s() got an unexpected keyword argument '%U'",
        function_name, key);
    #endif
bad:
    return -1;
}

/* ArgTypeTest */
static int __Pyx__ArgTypeTest(PyObject *obj, PyTypeObject *type, const char *name, int exact)
{
    if (unlikely(!type)) {
        PyErr_SetString(PyExc_SystemError, "Missing type object");
        return 0;
    }
    else if (exact) {
        #if PY_MAJOR_VERSION == 2
        if ((type == &PyBaseString_Type) && likely(__Pyx_PyBaseString_CheckExact(obj))) return 1;
        #endif
    }
    else {
        if (likely(__Pyx_TypeCheck(obj, type))) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%.200s' has incorrect type (expected %.200s, got %.200s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

/* Import */
static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
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    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(
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                    PyErr_Clear();
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            level = 0;
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        if (!module) {
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            PyObject *py_level = PyInt_FromLong(level);
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            Py_DECREF(py_level);
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        }
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bad:
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    Py_XDECREF(py_import);
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/* ImportFrom */
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            "cannot import name %.230s", PyString_AS_STRING(name));
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    int flags = PyCFunction_GET_FLAGS(func);
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    assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS)));
    assert(nargs >= 0);
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    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);
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}
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/* PyFunctionFastCall */
#if CYTHON_FAST_PYCALL
#include "frameobject.h"
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
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    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
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    /* XXX Perhaps we should create a specialized
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    assert(tstate != NULL);
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        Py_INCREF(*args);
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    result = PyEval_EvalFrameEx(f,0);
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#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, int nargs, PyObject *kwargs) {
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    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;
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    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;
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        nk = i / 2;
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    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;
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#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
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                               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

/* 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

/* 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

/* 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");
}

/* IterFinish */
  static CYTHON_INLINE int __Pyx_IterFinish(void) {
#if CYTHON_FAST_THREAD_STATE
    PyThreadState *tstate = __Pyx_PyThreadState_Current;
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(__Pyx_PyErr_GivenExceptionMatches(exc_type, PyExc_StopIteration))) {
            PyObject *exc_value, *exc_tb;
            exc_value = tstate->curexc_value;
            exc_tb = tstate->curexc_traceback;
            tstate->curexc_type = 0;
            tstate->curexc_value = 0;
            tstate->curexc_traceback = 0;
            Py_DECREF(exc_type);
            Py_XDECREF(exc_value);
            Py_XDECREF(exc_tb);
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#else
    if (unlikely(PyErr_Occurred())) {
        if (likely(PyErr_ExceptionMatches(PyExc_StopIteration))) {
            PyErr_Clear();
            return 0;
        } else {
            return -1;
        }
    }
    return 0;
#endif
}

/* UnpackItemEndCheck */
  static int __Pyx_IternextUnpackEndCheck(PyObject *retval, Py_ssize_t expected) {
    if (unlikely(retval)) {
        Py_DECREF(retval);
        __Pyx_RaiseTooManyValuesError(expected);
        return -1;
    } else {
        return __Pyx_IterFinish();
    }
    return 0;
}

/* ObjectGetItem */
  #if CYTHON_USE_TYPE_SLOTS
static PyObject *__Pyx_PyObject_GetIndex(PyObject *obj, PyObject* index) {
    PyObject *runerr;
    Py_ssize_t key_value;
    PySequenceMethods *m = Py_TYPE(obj)->tp_as_sequence;
    if (unlikely(!(m && m->sq_item))) {
        PyErr_Format(PyExc_TypeError, "'%.200s' object is not subscriptable", Py_TYPE(obj)->tp_name);
        return NULL;
    }
    key_value = __Pyx_PyIndex_AsSsize_t(index);
    if (likely(key_value != -1 || !(runerr = PyErr_Occurred()))) {
        return __Pyx_GetItemInt_Fast(obj, key_value, 0, 1, 1);
    }
    if (PyErr_GivenExceptionMatches(runerr, PyExc_OverflowError)) {
        PyErr_Clear();
        PyErr_Format(PyExc_IndexError, "cannot fit '%.200s' into an index-sized integer", Py_TYPE(index)->tp_name);
    }
    return NULL;
}
static PyObject *__Pyx_PyObject_GetItem(PyObject *obj, PyObject* key) {
    PyMappingMethods *m = Py_TYPE(obj)->tp_as_mapping;
    if (likely(m && m->mp_subscript)) {
        return m->mp_subscript(obj, key);
    }
    return __Pyx_PyObject_GetIndex(obj, key);
}
#endif

/* None */
  static CYTHON_INLINE int __Pyx_div_int(int a, int b) {
    int q = a / b;
    int r = a - q*b;
    q -= ((r != 0) & ((r ^ b) < 0));
    return q;
}

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

/* 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);
}

/* 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_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);
    }
}

/* 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

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

/* 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 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;
}

/* 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 */
