/* Generated by Cython 0.11.2 on Tue Dec  1 20:17:09 2009 */

#define PY_SSIZE_T_CLEAN
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#ifndef Py_PYTHON_H
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#define __PYX_HAVE_API__motmot__fview_ext_trig__cDecode
#include "stdlib.h"
#include "numpy/arrayobject.h"
#include "stdint.h"
#include "decode.h"
#include "string.h"
#define __PYX_USE_C99_COMPLEX defined(_Complex_I)


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#define __Pyx_PyBytes_FromStringAndSize   PyBytes_FromStringAndSize
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#define T_PYSSIZET \
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#define T_SIZET \
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        ((sizeof(size_t) == sizeof(unsigned PY_LONG_LONG)) ? T_ULONGLONG : -1)))
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static INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
static INLINE size_t __Pyx_PyInt_AsSize_t(PyObject*);

#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))


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#define likely(x)   (x)
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#define __Pyx_GIVEREF(r)
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#define __Pyx_XGIVEREF(r) if((r) == NULL) ; else __Pyx_GIVEREF(r)
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static void __Pyx_RaiseDoubleKeywordsError(
    const char* func_name, PyObject* kw_name); /*proto*/

static void __Pyx_RaiseArgtupleInvalid(const char* func_name, int exact,
    Py_ssize_t num_min, Py_ssize_t num_max, Py_ssize_t num_found); /*proto*/

static int __Pyx_ParseOptionalKeywords(PyObject *kwds, PyObject **argnames[],     PyObject *kwds2, PyObject *values[], Py_ssize_t num_pos_args,     const char* function_name); /*proto*/

/* Run-time type information about structs used with buffers */
struct __Pyx_StructField_;

typedef struct {
  const char* name; /* for error messages only */
  struct __Pyx_StructField_* fields;
  size_t size;     /* sizeof(type) */
  char typegroup; /* _R_eal, _C_omplex, Signed _I_nt, _U_nsigned int, _S_truct, _P_ointer, _O_bject */
} __Pyx_TypeInfo;

typedef struct __Pyx_StructField_ {
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  const char* name;
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typedef struct {
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static INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info);
static int __Pyx_GetBufferAndValidate(Py_buffer* buf, PyObject* obj, __Pyx_TypeInfo* dtype, int flags, int nd, int cast, __Pyx_BufFmt_StackElem* stack);

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

static void __Pyx_RaiseBufferFallbackError(void); /*proto*/
#define __Pyx_BufPtrStrided1d(type, buf, i0, s0) (type)((char*)buf + i0 * s0)

static INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb); /*proto*/
static INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb); /*proto*/


static INLINE PyObject *__Pyx_GetItemInt_Generic(PyObject *o, PyObject* j) {
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    r = PyObject_GetItem(o, j);
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#define __Pyx_GetItemInt_List(o, i, size, to_py_func) ((size <= sizeof(Py_ssize_t)) ? \
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                                                    __Pyx_GetItemInt_Generic(o, to_py_func(i)))

static INLINE PyObject *__Pyx_GetItemInt_List_Fast(PyObject *o, Py_ssize_t i, int fits_long) {
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            PyObject *r = PyList_GET_ITEM(o, i);
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            PyObject *r = PyList_GET_ITEM(o, PyList_GET_SIZE(o) + i);
            Py_INCREF(r);
            return r;
        }
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#define __Pyx_GetItemInt_Tuple(o, i, size, to_py_func) ((size <= sizeof(Py_ssize_t)) ? \
                                                    __Pyx_GetItemInt_Tuple_Fast(o, i, size <= sizeof(long)) : \
                                                    __Pyx_GetItemInt_Generic(o, to_py_func(i)))

static INLINE PyObject *__Pyx_GetItemInt_Tuple_Fast(PyObject *o, Py_ssize_t i, int fits_long) {
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            PyObject *r = PyTuple_GET_ITEM(o, i);
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            PyObject *r = PyTuple_GET_ITEM(o, PyTuple_GET_SIZE(o) + i);
            Py_INCREF(r);
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#define __Pyx_GetItemInt(o, i, size, to_py_func) ((size <= sizeof(Py_ssize_t)) ? \
                                                    __Pyx_GetItemInt_Fast(o, i, size <= sizeof(long)) : \
                                                    __Pyx_GetItemInt_Generic(o, to_py_func(i)))

static INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i, int fits_long) {
    PyObject *r;
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        r = PyList_GET_ITEM(o, i);
        Py_INCREF(r);
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        r = PyTuple_GET_ITEM(o, i);
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        r = PySequence_GetItem(o, i);
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static int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
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#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags);
static void __Pyx_ReleaseBuffer(Py_buffer *view);
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#define __Pyx_GetBuffer PyObject_GetBuffer
#define __Pyx_ReleaseBuffer PyBuffer_Release
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Py_ssize_t __Pyx_zeros[] = {0};
Py_ssize_t __Pyx_minusones[] = {-1};

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list); /*proto*/

static PyObject *__Pyx_GetName(PyObject *dict, PyObject *name); /*proto*/

#ifndef __PYX_FORCE_INIT_THREADS
#if PY_VERSION_HEX < 0x02040200
#define __PYX_FORCE_INIT_THREADS 1
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#define __PYX_FORCE_INIT_THREADS 0
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#endif

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

#if __PYX_USE_C99_COMPLEX
    #define __Pyx_REAL_PART(z) __real__(z)
    #define __Pyx_IMAG_PART(z) __imag__(z)
#else
    #define __Pyx_REAL_PART(z) ((z).real)
    #define __Pyx_IMAG_PART(z) ((z).imag)
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#define __pyx_PyObject_from_complex(z) PyComplex_FromDoubles((double)__Pyx_REAL_PART(z), (double)__Pyx_IMAG_PART(z))

#if __PYX_USE_C99_COMPLEX

    typedef float _Complex __pyx_t_float_complex;
    static INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      return x + y*(__pyx_t_float_complex)_Complex_I;
    }
    
    #define __pyx_t_float_complex_is_zero(a) ((a) == 0)
    #define __pyx_t_float_complex_eq(a, b) ((a) == (b))
    #define __pyx_t_float_complex_add(a, b) ((a)+(b))
    #define __pyx_t_float_complex_sub(a, b) ((a)-(b))
    #define __pyx_t_float_complex_mul(a, b) ((a)*(b))
    #define __pyx_t_float_complex_div(a, b) ((a)/(b))
    #define __pyx_t_float_complex_neg(a) (-(a))

#else

    typedef struct { float real, imag; } __pyx_t_float_complex;
    static INLINE __pyx_t_float_complex __pyx_t_float_complex_from_parts(float x, float y) {
      __pyx_t_float_complex c; c.real = x; c.imag = y; return c;
    }
    
    static INLINE int __pyx_t_float_complex_is_zero(__pyx_t_float_complex a) {
       return (a.real == 0) & (a.imag == 0);
    }

    static INLINE int __pyx_t_float_complex_eq(__pyx_t_float_complex a, __pyx_t_float_complex b) {
       return (a.real == b.real) & (a.imag == b.imag);
    }

    static INLINE __pyx_t_float_complex __pyx_t_float_complex_add(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }

    static INLINE __pyx_t_float_complex __pyx_t_float_complex_sub(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }

    static INLINE __pyx_t_float_complex __pyx_t_float_complex_mul(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }

    static INLINE __pyx_t_float_complex __pyx_t_float_complex_div(__pyx_t_float_complex a, __pyx_t_float_complex b) {
        __pyx_t_float_complex z;
        float denom = b.real*b.real + b.imag*b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }

    static INLINE __pyx_t_float_complex __pyx_t_float_complex_neg(__pyx_t_float_complex a) {
        __pyx_t_float_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }

#endif

#if __PYX_USE_C99_COMPLEX

    typedef double _Complex __pyx_t_double_complex;
    static INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      return x + y*(__pyx_t_double_complex)_Complex_I;
    }
    
    #define __pyx_t_double_complex_is_zero(a) ((a) == 0)
    #define __pyx_t_double_complex_eq(a, b) ((a) == (b))
    #define __pyx_t_double_complex_add(a, b) ((a)+(b))
    #define __pyx_t_double_complex_sub(a, b) ((a)-(b))
    #define __pyx_t_double_complex_mul(a, b) ((a)*(b))
    #define __pyx_t_double_complex_div(a, b) ((a)/(b))
    #define __pyx_t_double_complex_neg(a) (-(a))

#else

    typedef struct { double real, imag; } __pyx_t_double_complex;
    static INLINE __pyx_t_double_complex __pyx_t_double_complex_from_parts(double x, double y) {
      __pyx_t_double_complex c; c.real = x; c.imag = y; return c;
    }
    
    static INLINE int __pyx_t_double_complex_is_zero(__pyx_t_double_complex a) {
       return (a.real == 0) & (a.imag == 0);
    }

    static INLINE int __pyx_t_double_complex_eq(__pyx_t_double_complex a, __pyx_t_double_complex b) {
       return (a.real == b.real) & (a.imag == b.imag);
    }

    static INLINE __pyx_t_double_complex __pyx_t_double_complex_add(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real + b.real;
        z.imag = a.imag + b.imag;
        return z;
    }

    static INLINE __pyx_t_double_complex __pyx_t_double_complex_sub(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real - b.real;
        z.imag = a.imag - b.imag;
        return z;
    }

    static INLINE __pyx_t_double_complex __pyx_t_double_complex_mul(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        z.real = a.real * b.real - a.imag * b.imag;
        z.imag = a.real * b.imag + a.imag * b.real;
        return z;
    }

    static INLINE __pyx_t_double_complex __pyx_t_double_complex_div(__pyx_t_double_complex a, __pyx_t_double_complex b) {
        __pyx_t_double_complex z;
        double denom = b.real*b.real + b.imag*b.imag;
        z.real = (a.real * b.real + a.imag * b.imag) / denom;
        z.imag = (a.imag * b.real - a.real * b.imag) / denom;
        return z;
    }

    static INLINE __pyx_t_double_complex __pyx_t_double_complex_neg(__pyx_t_double_complex a) {
        __pyx_t_double_complex z;
        z.real = -a.real;
        z.imag = -a.imag;
        return z;
    }

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/* Module declarations from motmot.fview_ext_trig.cDecode */

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/* "/home/astraw/src/motmot/fview_ext_trig/motmot/fview_ext_trig/cDecode.pyx":35
 * 
 * @cython.boundscheck(False)
 * def process(np.ndarray[uint16_t, ndim=1] buf, int check_LSB_errors=1 ):             # <<<<<<<<<<<<<<
 *      """decode an ADC wordstream
 * 
 */

static PyObject *__pyx_pf_6motmot_14fview_ext_trig_7cDecode_process(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_6motmot_14fview_ext_trig_7cDecode_process[] = "decode an ADC wordstream\n\n     This will read until a framecount/tcnt pair is found or the\n     buffer is exhausted, whichever comes first.\n\n     If a framecount/tcnt pair is encountered, processing will stop,\n     and the framecount/tcnt pair can be correctly assumed to be from\n     the moment immediately following the last sample.\n\n     returns\n     -------\n     N : integer\n         the number of elements of the wordstream that were processed\n     samples : array\n         the sample data (uint16)\n     channels : array\n         the channels of the sample data\n     did_overflow : boolean\n         Whether the USB device overflowed its internal buffer,\n         indicating that data has been lost.\n     framestamp : None or tuple of (framecount,tcnt)\n         None if not present. Otherwise, a tuple indicating the moment\n         the last sample ended.\n\n     ";
static PyObject *__pyx_pf_6motmot_14fview_ext_trig_7cDecode_process(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds) {
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  decode_err_t __pyx_v_err;
  int __pyx_v_N;
  int __pyx_v_sampno;
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  size_t __pyx_v_stride0;
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  uint8_t *__pyx_v_channel_ptr;
  size_t __pyx_v_data_len;
  double __pyx_v_alloced_len;
  PyArrayObject *__pyx_v_samples;
  PyArrayObject *__pyx_v_channels;
  PyArrayObject *__pyx_v_prev_sample_lsbs;
  PyObject *__pyx_v_test_samps;
  PyObject *__pyx_v_test_lsbs;
  PyObject *__pyx_v_bad_cond;
  PyObject *__pyx_v_framestamp;
  PyObject *__pyx_v_result;
  Py_buffer __pyx_bstruct_channels;
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  Py_ssize_t __pyx_bshape_0_channels = 0;
  Py_buffer __pyx_bstruct_samples;
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  Py_ssize_t __pyx_bshape_0_samples = 0;
  Py_buffer __pyx_bstruct_prev_sample_lsbs;
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  Py_ssize_t __pyx_bshape_0_prev_sample_lsbs = 0;
  Py_buffer __pyx_bstruct_buf;
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  PyObject *__pyx_r = NULL;
  PyObject *__pyx_1 = 0;
  PyObject *__pyx_2 = 0;
  PyObject *__pyx_t_1 = NULL;
  PyObject *__pyx_t_2 = NULL;
  PyObject *__pyx_t_3 = NULL;
  PyArrayObject *__pyx_t_4 = NULL;
  int __pyx_t_5;
  PyObject *__pyx_t_6 = NULL;
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  PyObject *__pyx_t_8 = NULL;
  PyArrayObject *__pyx_t_9 = NULL;
  PyArrayObject *__pyx_t_10 = NULL;
  int __pyx_t_11;
  int __pyx_t_12;
  static PyObject **__pyx_pyargnames[] = {&__pyx_kp_buf,&__pyx_kp_check_LSB_errors,0};
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  __pyx_L5_argtuple_error:;
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  /* "/home/astraw/src/motmot/fview_ext_trig/motmot/fview_ext_trig/cDecode.pyx":64
 * 
 *      cdef int cum_samples_done
 *      cdef decode_err_t err=DECODE_NO_ERROR             # <<<<<<<<<<<<<<
 *      cdef int N=0
 *      cdef int sampno=0
 */
  __pyx_v_err = DECODE_NO_ERROR;

  /* "/home/astraw/src/motmot/fview_ext_trig/motmot/fview_ext_trig/cDecode.pyx":65
 *      cdef int cum_samples_done
 *      cdef decode_err_t err=DECODE_NO_ERROR
 *      cdef int N=0             # <<<<<<<<<<<<<<
 *      cdef int sampno=0
 *      cdef char* data_start=buf.data
 */
  __pyx_v_N = 0;

  /* "/home/astraw/src/motmot/fview_ext_trig/motmot/fview_ext_trig/cDecode.pyx":66
 *      cdef decode_err_t err=DECODE_NO_ERROR
 *      cdef int N=0
 *      cdef int sampno=0             # <<<<<<<<<<<<<<
 *      cdef char* data_start=buf.data
 *      cdef size_t stride0=buf.strides[0]
 */
  __pyx_v_sampno = 0;

  /* "/home/astraw/src/motmot/fview_ext_trig/motmot/fview_ext_trig/cDecode.pyx":67
 *      cdef int N=0
 *      cdef int sampno=0
 *      cdef char* data_start=buf.data             # <<<<<<<<<<<<<<
 *      cdef size_t stride0=buf.strides[0]
 *      cdef uint16_t* sample_ptr
 */
  __pyx_v_data_start = __pyx_v_buf->data;

  /* "/home/astraw/src/motmot/fview_ext_trig/motmot/fview_ext_trig/cDecode.pyx":68
 *      cdef int sampno=0
 *      cdef char* data_start=buf.data
 *      cdef size_t stride0=buf.strides[0]             # <<<<<<<<<<<<<<
 *      cdef uint16_t* sample_ptr
 *      cdef uint8_t* channel_ptr
 */
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  /* "/home/astraw/src/motmot/fview_ext_trig/motmot/fview_ext_trig/cDecode.pyx":71
 *      cdef uint16_t* sample_ptr
 *      cdef uint8_t* channel_ptr
 *      cdef size_t data_len=buf.shape[0]             # <<<<<<<<<<<<<<
 *      cdef double alloced_len=data_len
 *      cdef np.ndarray[uint16_t,ndim=1] samples
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  /* "/home/astraw/src/motmot/fview_ext_trig/motmot/fview_ext_trig/cDecode.pyx":72
 *      cdef uint8_t* channel_ptr
 *      cdef size_t data_len=buf.shape[0]
 *      cdef double alloced_len=data_len             # <<<<<<<<<<<<<<
 *      cdef np.ndarray[uint16_t,ndim=1] samples
 *      cdef np.ndarray[uint8_t,ndim=1] channels
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}

static int __Pyx_BufFmt_FirstPack(__Pyx_BufFmt_Context* ctx) {
  if (ctx->enc_type != 0 || ctx->packmode != '@') {
    PyErr_SetString(PyExc_ValueError, "Buffer packing mode currently only allowed at beginning of format string (this is a defect)");
    return -1;
  }
  return 0;
}

static const char* __Pyx_BufFmt_CheckString(__Pyx_BufFmt_Context* ctx, const char* ts) {
  int got_Z = 0;
  while (1) {
    switch(*ts) {
      case 0:
        if (ctx->enc_type != 0 && ctx->head == NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        if (ctx->head != NULL) {
          __Pyx_BufFmt_RaiseExpected(ctx);
          return NULL;
        }
        return ts;
      case ' ':
      case 10:
      case 13:
        ++ts;
        break;
      case '<':
        if (!__Pyx_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Little-endian buffer not supported on big-endian compiler");
          return NULL;
        }
        if (__Pyx_BufFmt_FirstPack(ctx) == -1) return NULL;
        ctx->packmode = '=';
        ++ts;
        break;
      case '>':
      case '!':
        if (__Pyx_IsLittleEndian()) {
          PyErr_SetString(PyExc_ValueError, "Big-endian buffer not supported on little-endian compiler");
          return NULL;
        }
        if (__Pyx_BufFmt_FirstPack(ctx) == -1) return NULL;
        ctx->packmode = '=';
        ++ts;
        break;
      case '=':
      case '@':
      case '^':
        if (__Pyx_BufFmt_FirstPack(ctx) == -1) return NULL;
        ctx->packmode = *ts++;
        break;
      case 'T': /* substruct */
        {
          int i;
          const char* ts_after_sub;
          int struct_count = ctx->new_count;
          ctx->new_count = 1;
          ++ts;
          if (*ts != '{') {
            PyErr_SetString(PyExc_ValueError, "Buffer acquisition: Expected '{' after 'T'");
            return NULL;
          }
          ++ts;
          ts_after_sub = ts;
          for (i = 0; i != struct_count; ++i) {
            ts_after_sub = __Pyx_BufFmt_CheckString(ctx, ts);
            if (!ts_after_sub) return NULL;
          }
          ts = ts_after_sub;
        }
        break;
      case '}': /* end of substruct; either repeat or move on */
        ++ts;
        return ts;
      case 'x':
        if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
        ctx->fmt_offset += ctx->new_count;
        ctx->new_count = 1;
        ctx->enc_count = 0;
        ctx->enc_type = 0;
        ++ts;
        break;
      case 'Z':
        got_Z = 1;
        ++ts;
        if (*ts != 'f' && *ts != 'd' && *ts != 'g') {
          __Pyx_BufFmt_RaiseUnexpectedChar('Z');
          return NULL;
        }        /* fall through */
      case 'c': case 'b': case 'B': case 'h': case 'H': case 'i': case 'I':
      case 'l': case 'L': case 'q': case 'Q':
      case 'f': case 'd': case 'g':
      case 'O':
        if (ctx->enc_type == *ts && got_Z == ctx->is_complex) {
          /* Continue pooling same type */
          ctx->enc_count += ctx->new_count;
        } else {
          /* New type */
          if (__Pyx_BufFmt_ProcessTypeChunk(ctx) == -1) return NULL;
          ctx->enc_count = ctx->new_count;
          ctx->enc_type = *ts;
          ctx->is_complex = got_Z;
        }
        ++ts;
        ctx->new_count = 1;
        got_Z = 0;
        break;
      default:
        {
          ctx->new_count = __Pyx_BufFmt_ParseNumber(&ts);
          if (ctx->new_count == -1) { /* First char was not a digit */
            char msg[2] = { *ts, 0 };
            PyErr_Format(PyExc_ValueError,
                         "Does not understand character buffer dtype format string ('%s')", msg);
            return NULL;
          }
        }
      
    }
  }
}

static INLINE void __Pyx_ZeroBuffer(Py_buffer* buf) {
  buf->buf = NULL;
  buf->obj = NULL;
  buf->strides = __Pyx_zeros;
  buf->shape = __Pyx_zeros;
  buf->suboffsets = __Pyx_minusones;
}

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

static INLINE void __Pyx_SafeReleaseBuffer(Py_buffer* info) {
  if (info->buf == NULL) return;
  if (info->suboffsets == __Pyx_minusones) info->suboffsets = NULL;
  __Pyx_ReleaseBuffer(info);
}

static int __Pyx_TypeTest(PyObject *obj, PyTypeObject *type) {
    if (!type) {
        PyErr_Format(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (obj == Py_None || PyObject_TypeCheck(obj, type))
        return 1;
    PyErr_Format(PyExc_TypeError, "Cannot convert %s to %s",
        Py_TYPE(obj)->tp_name, type->tp_name);
    return 0;
}

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


static INLINE void __Pyx_ErrRestore(PyObject *type, PyObject *value, PyObject *tb) {
    PyObject *tmp_type, *tmp_value, *tmp_tb;
    PyThreadState *tstate = PyThreadState_GET();

#if PY_MAJOR_VERSION >= 3
    /* Note: this is a temporary work-around to prevent crashes in Python 3.0 */
    if ((tstate->exc_type != NULL) & (tstate->exc_type != Py_None)) {
        tmp_type = tstate->exc_type;
        tmp_value = tstate->exc_value;
        tmp_tb = tstate->exc_traceback;
        PyErr_NormalizeException(&type, &value, &tb);
        PyErr_NormalizeException(&tmp_type, &tmp_value, &tmp_tb);
        tstate->exc_type = 0;
        tstate->exc_value = 0;
        tstate->exc_traceback = 0;
        PyException_SetContext(value, tmp_value);
        Py_DECREF(tmp_type);
        Py_XDECREF(tmp_tb);
    }
#endif

    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 INLINE void __Pyx_ErrFetch(PyObject **type, PyObject **value, PyObject **tb) {
    PyThreadState *tstate = PyThreadState_GET();
    *type = tstate->curexc_type;
    *value = tstate->curexc_value;
    *tb = tstate->curexc_traceback;

    tstate->curexc_type = 0;
    tstate->curexc_value = 0;
    tstate->curexc_traceback = 0;
}



static int __Pyx_ArgTypeTest(PyObject *obj, PyTypeObject *type, int none_allowed,
    const char *name, int exact)
{
    if (!type) {
        PyErr_Format(PyExc_SystemError, "Missing type object");
        return 0;
    }
    if (none_allowed && obj == Py_None) return 1;
    else if (exact) {
        if (Py_TYPE(obj) == type) return 1;
    }
    else {
        if (PyObject_TypeCheck(obj, type)) return 1;
    }
    PyErr_Format(PyExc_TypeError,
        "Argument '%s' has incorrect type (expected %s, got %s)",
        name, type->tp_name, Py_TYPE(obj)->tp_name);
    return 0;
}

#if PY_MAJOR_VERSION < 3
static int __Pyx_GetBuffer(PyObject *obj, Py_buffer *view, int flags) {
  #if PY_VERSION_HEX >= 0x02060000
  if (Py_TYPE(obj)->tp_flags & Py_TPFLAGS_HAVE_NEWBUFFER)
      return PyObject_GetBuffer(obj, view, flags);
  #endif
  if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) return __pyx_pf_5numpy_7ndarray___getbuffer__(obj, view, flags);
  else {
  PyErr_Format(PyExc_TypeError, "'%100s' does not have the buffer interface", Py_TYPE(obj)->tp_name);
  return -1;
    }
}

static void __Pyx_ReleaseBuffer(Py_buffer *view) {
  PyObject* obj = view->obj;
  if (obj) {
if (PyObject_TypeCheck(obj, __pyx_ptype_5numpy_ndarray)) __pyx_pf_5numpy_7ndarray___releasebuffer__(obj, view);
    Py_DECREF(obj);
    view->obj = NULL;
  }
}

#endif

static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list) {
    PyObject *__import__ = 0;
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    __import__ = __Pyx_GetAttrString(__pyx_b, "__import__");
    if (!__import__)
        goto bad;
    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;
    module = PyObject_CallFunctionObjArgs(__import__,
        name, global_dict, empty_dict, list, NULL);
bad:
    Py_XDECREF(empty_list);
    Py_XDECREF(__import__);
    Py_XDECREF(empty_dict);
    return module;
}

static PyObject *__Pyx_GetName(PyObject *dict, PyObject *name) {
    PyObject *result;
    result = PyObject_GetAttr(dict, name);
    if (!result)
        PyErr_SetObject(PyExc_NameError, name);
    return result;
}

static void __Pyx_Raise(PyObject *type, PyObject *value, PyObject *tb) {
    Py_XINCREF(type);
    Py_XINCREF(value);
    Py_XINCREF(tb);
    /* First, check the traceback argument, replacing None with NULL. */
    if (tb == Py_None) {
        Py_DECREF(tb);
        tb = 0;
    }
    else if (tb != NULL && !PyTraceBack_Check(tb)) {
        PyErr_SetString(PyExc_TypeError,
            "raise: arg 3 must be a traceback or None");
        goto raise_error;
    }
    /* Next, replace a missing value with None */
    if (value == NULL) {
        value = Py_None;
        Py_INCREF(value);
    }
    #if PY_VERSION_HEX < 0x02050000
    if (!PyClass_Check(type))
    #else
    if (!PyType_Check(type))
    #endif
    {
        /* Raising an instance.  The value should be a dummy. */
        if (value != Py_None) {
            PyErr_SetString(PyExc_TypeError,
                "instance exception may not have a separate value");
            goto raise_error;
        }
        /* Normalize to raise <class>, <instance> */
        Py_DECREF(value);
        value = type;
        #if PY_VERSION_HEX < 0x02050000
            if (PyInstance_Check(type)) {
                type = (PyObject*) ((PyInstanceObject*)type)->in_class;
                Py_INCREF(type);
            }
            else {
                type = 0;
                PyErr_SetString(PyExc_TypeError,
                    "raise: exception must be an old-style class or instance");
                goto raise_error;
            }
        #else
            type = (PyObject*) Py_TYPE(type);
            Py_INCREF(type);
            if (!PyType_IsSubtype((PyTypeObject *)type, (PyTypeObject *)PyExc_BaseException)) {
                PyErr_SetString(PyExc_TypeError,
                    "raise: exception class must be a subclass of BaseException");
                goto raise_error;
            }
        #endif
    }
    __Pyx_ErrRestore(type, value, tb);
    return;
raise_error:
    Py_XDECREF(value);
    Py_XDECREF(type);
    Py_XDECREF(tb);
    return;
}

static INLINE int __Pyx_StrEq(const char *s1, const char *s2) {
     while (*s1 != '\0' && *s1 == *s2) { s1++; s2++; }
     return *s1 == *s2;
}

static INLINE unsigned char __Pyx_PyInt_AsUnsignedChar(PyObject* x) {
    if (sizeof(unsigned char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned char)val)) {
            if (unlikely(val == -1 && PyErr_Occurred()))
                return (unsigned char)-1;
            if (unlikely(val < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned char");
                return (unsigned char)-1;
            }
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to unsigned char");
            return (unsigned char)-1;
        }
        return (unsigned char)val;
    }
    return (unsigned char)__Pyx_PyInt_AsUnsignedLong(x);
}

static INLINE unsigned short __Pyx_PyInt_AsUnsignedShort(PyObject* x) {
    if (sizeof(unsigned short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned short)val)) {
            if (unlikely(val == -1 && PyErr_Occurred()))
                return (unsigned short)-1;
            if (unlikely(val < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned short");
                return (unsigned short)-1;
            }
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to unsigned short");
            return (unsigned short)-1;
        }
        return (unsigned short)val;
    }
    return (unsigned short)__Pyx_PyInt_AsUnsignedLong(x);
}

static INLINE unsigned int __Pyx_PyInt_AsUnsignedInt(PyObject* x) {
    if (sizeof(unsigned int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(unsigned int)val)) {
            if (unlikely(val == -1 && PyErr_Occurred()))
                return (unsigned int)-1;
            if (unlikely(val < 0)) {
                PyErr_SetString(PyExc_OverflowError,
                                "can't convert negative value to unsigned int");
                return (unsigned int)-1;
            }
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to unsigned int");
            return (unsigned int)-1;
        }
        return (unsigned int)val;
    }
    return (unsigned int)__Pyx_PyInt_AsUnsignedLong(x);
}

static INLINE char __Pyx_PyInt_AsChar(PyObject* x) {
    if (sizeof(char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(char)val)) {
            if (unlikely(val == -1 && PyErr_Occurred()))
                return (char)-1;
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to char");
            return (char)-1;
        }
        return (char)val;
    }
    return (char)__Pyx_PyInt_AsLong(x);
}

static INLINE short __Pyx_PyInt_AsShort(PyObject* x) {
    if (sizeof(short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(short)val)) {
            if (unlikely(val == -1 && PyErr_Occurred()))
                return (short)-1;
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to short");
            return (short)-1;
        }
        return (short)val;
    }
    return (short)__Pyx_PyInt_AsLong(x);
}

static INLINE int __Pyx_PyInt_AsInt(PyObject* x) {
    if (sizeof(int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(int)val)) {
            if (unlikely(val == -1 && PyErr_Occurred()))
                return (int)-1;
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to int");
            return (int)-1;
        }
        return (int)val;
    }
    return (int)__Pyx_PyInt_AsLong(x);
}

static INLINE signed char __Pyx_PyInt_AsSignedChar(PyObject* x) {
    if (sizeof(signed char) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed char)val)) {
            if (unlikely(val == -1 && PyErr_Occurred()))
                return (signed char)-1;
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to signed char");
            return (signed char)-1;
        }
        return (signed char)val;
    }
    return (signed char)__Pyx_PyInt_AsSignedLong(x);
}

static INLINE signed short __Pyx_PyInt_AsSignedShort(PyObject* x) {
    if (sizeof(signed short) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed short)val)) {
            if (unlikely(val == -1 && PyErr_Occurred()))
                return (signed short)-1;
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to signed short");
            return (signed short)-1;
        }
        return (signed short)val;
    }
    return (signed short)__Pyx_PyInt_AsSignedLong(x);
}

static INLINE signed int __Pyx_PyInt_AsSignedInt(PyObject* x) {
    if (sizeof(signed int) < sizeof(long)) {
        long val = __Pyx_PyInt_AsLong(x);
        if (unlikely(val != (long)(signed int)val)) {
            if (unlikely(val == -1 && PyErr_Occurred()))
                return (signed int)-1;
            PyErr_SetString(PyExc_OverflowError,
                           "value too large to convert to signed int");
            return (signed int)-1;
        }
        return (signed int)val;
    }
    return (signed int)__Pyx_PyInt_AsSignedLong(x);
}

static INLINE unsigned long __Pyx_PyInt_AsUnsignedLong(PyObject* x) {
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_CheckExact(x) || PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned long");
            return (unsigned long)-1;
        }
        return (unsigned long)val;
    } else
#endif
    if (likely(PyLong_CheckExact(x) || PyLong_Check(x))) {
        if (unlikely(Py_SIZE(x) < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned long");
            return (unsigned long)-1;
        }
        return PyLong_AsUnsignedLong(x);
    } else {
        unsigned long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned long)-1;
        val = __Pyx_PyInt_AsUnsignedLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static INLINE unsigned PY_LONG_LONG __Pyx_PyInt_AsUnsignedLongLong(PyObject* x) {
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_CheckExact(x) || PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        if (unlikely(val < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned PY_LONG_LONG");
            return (unsigned PY_LONG_LONG)-1;
        }
        return (unsigned PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_CheckExact(x) || PyLong_Check(x))) {
        if (unlikely(Py_SIZE(x) < 0)) {
            PyErr_SetString(PyExc_OverflowError,
                            "can't convert negative value to unsigned PY_LONG_LONG");
            return (unsigned PY_LONG_LONG)-1;
        }
        return PyLong_AsUnsignedLongLong(x);
    } else {
        unsigned PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (unsigned PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsUnsignedLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static INLINE long __Pyx_PyInt_AsLong(PyObject* x) {
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_CheckExact(x) || PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        return (long)val;
    } else
#endif
    if (likely(PyLong_CheckExact(x) || PyLong_Check(x))) {
        return PyLong_AsLong(x);
    } else {
        long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (long)-1;
        val = __Pyx_PyInt_AsLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static INLINE PY_LONG_LONG __Pyx_PyInt_AsLongLong(PyObject* x) {
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_CheckExact(x) || PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        return (PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_CheckExact(x) || PyLong_Check(x))) {
        return PyLong_AsLongLong(x);
    } else {
        PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static INLINE signed long __Pyx_PyInt_AsSignedLong(PyObject* x) {
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_CheckExact(x) || PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        return (signed long)val;
    } else
#endif
    if (likely(PyLong_CheckExact(x) || PyLong_Check(x))) {
        return PyLong_AsLong(x);
    } else {
        signed long val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (signed long)-1;
        val = __Pyx_PyInt_AsSignedLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

static INLINE signed PY_LONG_LONG __Pyx_PyInt_AsSignedLongLong(PyObject* x) {
#if PY_VERSION_HEX < 0x03000000
    if (likely(PyInt_CheckExact(x) || PyInt_Check(x))) {
        long val = PyInt_AS_LONG(x);
        return (signed PY_LONG_LONG)val;
    } else
#endif
    if (likely(PyLong_CheckExact(x) || PyLong_Check(x))) {
        return PyLong_AsLongLong(x);
    } else {
        signed PY_LONG_LONG val;
        PyObject *tmp = __Pyx_PyNumber_Int(x);
        if (!tmp) return (signed PY_LONG_LONG)-1;
        val = __Pyx_PyInt_AsSignedLongLong(tmp);
        Py_DECREF(tmp);
        return val;
    }
}

#ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    long size)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;

    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    #if PY_MAJOR_VERSION < 3
    py_name = PyString_FromString(class_name);
    #else
    py_name = PyUnicode_FromString(class_name);
    #endif
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError, 
            "%s.%s is not a type object",
            module_name, class_name);
        goto bad;
    }
    if (((PyTypeObject *)result)->tp_basicsize != size) {
        PyErr_Format(PyExc_ValueError, 
            "%s.%s does not appear to be the correct type object",
            module_name, class_name);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return 0;
}
#endif

#ifndef __PYX_HAVE_RT_ImportModule
#define __PYX_HAVE_RT_ImportModule
static PyObject *__Pyx_ImportModule(const char *name) {
    PyObject *py_name = 0;
    PyObject *py_module = 0;

    #if PY_MAJOR_VERSION < 3
    py_name = PyString_FromString(name);
    #else
    py_name = PyUnicode_FromString(name);
    #endif
    if (!py_name)
        goto bad;
    py_module = PyImport_Import(py_name);
    Py_DECREF(py_name);
    return py_module;
bad:
    Py_XDECREF(py_name);
    return 0;
}
#endif

#include "compile.h"
#include "frameobject.h"
#include "traceback.h"

static void __Pyx_AddTraceback(const char *funcname) {
    PyObject *py_srcfile = 0;
    PyObject *py_funcname = 0;
    PyObject *py_globals = 0;
    PyObject *empty_string = 0;
    PyCodeObject *py_code = 0;
    PyFrameObject *py_frame = 0;

    #if PY_MAJOR_VERSION < 3
    py_srcfile = PyString_FromString(__pyx_filename);
    #else
    py_srcfile = PyUnicode_FromString(__pyx_filename);
    #endif
    if (!py_srcfile) goto bad;
    if (__pyx_clineno) {
        #if PY_MAJOR_VERSION < 3
        py_funcname = PyString_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, __pyx_clineno);
        #else
        py_funcname = PyUnicode_FromFormat( "%s (%s:%d)", funcname, __pyx_cfilenm, __pyx_clineno);
        #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_globals = PyModule_GetDict(__pyx_m);
    if (!py_globals) goto bad;
    #if PY_MAJOR_VERSION < 3
    empty_string = PyString_FromStringAndSize("", 0);
    #else
    empty_string = PyBytes_FromStringAndSize("", 0);
    #endif
    if (!empty_string) goto bad;
    py_code = PyCode_New(
        0,            /*int argcount,*/
        #if PY_MAJOR_VERSION >= 3
        0,            /*int kwonlyargcount,*/
        #endif
        0,            /*int nlocals,*/
        0,            /*int stacksize,*/
        0,            /*int flags,*/
        empty_string, /*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,*/
        __pyx_lineno,   /*int firstlineno,*/
        empty_string  /*PyObject *lnotab*/
    );
    if (!py_code) goto bad;
    py_frame = PyFrame_New(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        py_globals,          /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    py_frame->f_lineno = __pyx_lineno;
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_srcfile);
    Py_XDECREF(py_funcname);
    Py_XDECREF(empty_string);
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode && (!t->is_identifier)) {
            *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  /* Python 3+ has unicode identifiers */
        if (t->is_identifier || (t->is_unicode && t->intern)) {
            *t->p = PyUnicode_InternFromString(t->s);
        } else if (t->is_unicode) {
            *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        ++t;
    }
    return 0;
}

/* Type Conversion Functions */

static INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   if (x == Py_True) return 1;
   else if ((x == Py_False) | (x == Py_None)) return 0;
   else return PyObject_IsTrue(x);
}

static INLINE PyObject* __Pyx_PyNumber_Int(PyObject* x) {
  PyNumberMethods *m;
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_VERSION_HEX < 0x03000000
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return Py_INCREF(x), x;
  m = Py_TYPE(x)->tp_as_number;
#if PY_VERSION_HEX < 0x03000000
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
#else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
#endif
  if (res) {
#if PY_VERSION_HEX < 0x03000000
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%s__ returned non-%s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}

static INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject* x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}

static INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
#if PY_VERSION_HEX < 0x02050000
   if (ival <= LONG_MAX)
       return PyInt_FromLong((long)ival);
   else {
       unsigned char *bytes = (unsigned char *) &ival;
       int one = 1; int little = (int)*(unsigned char*)&one;
       return _PyLong_FromByteArray(bytes, sizeof(size_t), little, 0);
   }
#else
   return PyInt_FromSize_t(ival);
#endif
}

static INLINE size_t __Pyx_PyInt_AsSize_t(PyObject* x) {
   unsigned PY_LONG_LONG val = __Pyx_PyInt_AsUnsignedLongLong(x);
   if (unlikely(val == (unsigned PY_LONG_LONG)-1 && PyErr_Occurred())) {
       return (size_t)-1;
   } else if (unlikely(val != (unsigned PY_LONG_LONG)(size_t)val)) {
       PyErr_SetString(PyExc_OverflowError,
                       "value too large to convert to size_t");
       return (size_t)-1;
   }
   return (size_t)val;
}


