/* Generated by Cython 0.26 */

/* BEGIN: Cython Metadata
{
    "distutils": {
        "depends": [
            "cpp-btree/btree_set.h",
            "discodop/_containers.h",
            "discodop/bitcount.h",
            "discodop/macros.h"
        ],
        "extra_compile_args": [
            "-Isparsepp/",
            "-Wno-strict-prototypes",
            "-Wno-unused-function",
            "-Wno-unreachable-code",
            "-Wno-sign-compare",
            "-D__STDC_LIMIT_MACROS",
            "-O3",
            "-march=native",
            "-DNDEBUG"
        ],
        "extra_link_args": [
            "-DNDEBUG"
        ],
        "include_dirs": [
            "./discodop",
            "discodop"
        ],
        "language": "c++",
        "name": "discodop.coarsetofine",
        "sources": [
            "discodop/coarsetofine.pyx"
        ]
    },
    "module_name": "discodop.coarsetofine"
}
END: Cython Metadata */

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#define __Pyx_PyString_FormatSafe(a, b)   ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : __Pyx_PyString_Format(a, b))
#define __Pyx_PyUnicode_FormatSafe(a, b)  ((unlikely((a) == Py_None)) ? PyNumber_Remainder(a, b) : PyUnicode_Format(a, b))
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#if PY_MAJOR_VERSION >= 3
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# if defined(__GNUC__)
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#     define CYTHON_UNUSED
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# elif defined(__ICC) || (defined(__INTEL_COMPILER) && !defined(_MSC_VER))
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template<typename T>
void __Pyx_call_destructor(T& x) {
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template<typename T>
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#define __PYX_HAVE__discodop__coarsetofine
#define __PYX_HAVE_API__discodop__coarsetofine
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#include <algorithm>
#include <string.h>
#include <stdlib.h>
#include <math.h>
#include <stdint.h>
#include <string>
#include <stdio.h>
#include "macros.h"
#include "bitcount.h"
#include "_containers.h"
#include "../cpp-btree/btree_set.h"
#ifdef _OPENMP
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#ifdef PYREX_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;
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#define __PYX_DEFAULT_STRING_ENCODING_IS_ASCII 0
#define __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT 0
#define __PYX_DEFAULT_STRING_ENCODING ""
#define __Pyx_PyObject_FromString __Pyx_PyBytes_FromString
#define __Pyx_PyObject_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#define __Pyx_uchar_cast(c) ((unsigned char)c)
#define __Pyx_long_cast(x) ((long)x)
#define __Pyx_fits_Py_ssize_t(v, type, is_signed)  (\
    (sizeof(type) < sizeof(Py_ssize_t))  ||\
    (sizeof(type) > sizeof(Py_ssize_t) &&\
          likely(v < (type)PY_SSIZE_T_MAX ||\
                 v == (type)PY_SSIZE_T_MAX)  &&\
          (!is_signed || likely(v > (type)PY_SSIZE_T_MIN ||\
                                v == (type)PY_SSIZE_T_MIN)))  ||\
    (sizeof(type) == sizeof(Py_ssize_t) &&\
          (is_signed || likely(v < (type)PY_SSIZE_T_MAX ||\
                               v == (type)PY_SSIZE_T_MAX)))  )
#if defined (__cplusplus) && __cplusplus >= 201103L
    #include <cstdlib>
    #define __Pyx_sst_abs(value) std::abs(value)
#elif SIZEOF_INT >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) abs(value)
#elif SIZEOF_LONG >= SIZEOF_SIZE_T
    #define __Pyx_sst_abs(value) labs(value)
#elif defined (_MSC_VER) && defined (_M_X64)
    #define __Pyx_sst_abs(value) _abs64(value)
#elif defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L
    #define __Pyx_sst_abs(value) llabs(value)
#elif defined (__GNUC__)
    #define __Pyx_sst_abs(value) __builtin_llabs(value)
#else
    #define __Pyx_sst_abs(value) ((value<0) ? -value : value)
#endif
static CYTHON_INLINE const char* __Pyx_PyObject_AsString(PyObject*);
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject*, Py_ssize_t* length);
#define __Pyx_PyByteArray_FromString(s) PyByteArray_FromStringAndSize((const char*)s, strlen((const char*)s))
#define __Pyx_PyByteArray_FromStringAndSize(s, l) PyByteArray_FromStringAndSize((const char*)s, l)
#define __Pyx_PyBytes_FromString        PyBytes_FromString
#define __Pyx_PyBytes_FromStringAndSize PyBytes_FromStringAndSize
static CYTHON_INLINE PyObject* __Pyx_PyUnicode_FromString(const char*);
#if PY_MAJOR_VERSION < 3
    #define __Pyx_PyStr_FromString        __Pyx_PyBytes_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyBytes_FromStringAndSize
#else
    #define __Pyx_PyStr_FromString        __Pyx_PyUnicode_FromString
    #define __Pyx_PyStr_FromStringAndSize __Pyx_PyUnicode_FromStringAndSize
#endif
#define __Pyx_PyObject_AsWritableString(s)    ((char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableSString(s)    ((signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsWritableUString(s)    ((unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsSString(s)    ((const signed char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_AsUString(s)    ((const unsigned char*) __Pyx_PyObject_AsString(s))
#define __Pyx_PyObject_FromCString(s)  __Pyx_PyObject_FromString((const char*)s)
#define __Pyx_PyBytes_FromCString(s)   __Pyx_PyBytes_FromString((const char*)s)
#define __Pyx_PyByteArray_FromCString(s)   __Pyx_PyByteArray_FromString((const char*)s)
#define __Pyx_PyStr_FromCString(s)     __Pyx_PyStr_FromString((const char*)s)
#define __Pyx_PyUnicode_FromCString(s) __Pyx_PyUnicode_FromString((const char*)s)
#if PY_MAJOR_VERSION < 3
static CYTHON_INLINE size_t __Pyx_Py_UNICODE_strlen(const Py_UNICODE *u)
{
    const Py_UNICODE *u_end = u;
    while (*u_end++) ;
    return (size_t)(u_end - u - 1);
}
#else
#define __Pyx_Py_UNICODE_strlen Py_UNICODE_strlen
#endif
#define __Pyx_PyUnicode_FromUnicode(u)       PyUnicode_FromUnicode(u, __Pyx_Py_UNICODE_strlen(u))
#define __Pyx_PyUnicode_FromUnicodeAndLength PyUnicode_FromUnicode
#define __Pyx_PyUnicode_AsUnicode            PyUnicode_AsUnicode
#define __Pyx_NewRef(obj) (Py_INCREF(obj), obj)
#define __Pyx_Owned_Py_None(b) __Pyx_NewRef(Py_None)
#define __Pyx_PyBool_FromLong(b) ((b) ? __Pyx_NewRef(Py_True) : __Pyx_NewRef(Py_False))
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject*);
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x);
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject*);
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t);
#if CYTHON_ASSUME_SAFE_MACROS
#define __pyx_PyFloat_AsDouble(x) (PyFloat_CheckExact(x) ? PyFloat_AS_DOUBLE(x) : PyFloat_AsDouble(x))
#else
#define __pyx_PyFloat_AsDouble(x) PyFloat_AsDouble(x)
#endif
#define __pyx_PyFloat_AsFloat(x) ((float) __pyx_PyFloat_AsDouble(x))
#if PY_MAJOR_VERSION >= 3
#define __Pyx_PyNumber_Int(x) (PyLong_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Long(x))
#else
#define __Pyx_PyNumber_Int(x) (PyInt_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Int(x))
#endif
#define __Pyx_PyNumber_Float(x) (PyFloat_CheckExact(x) ? __Pyx_NewRef(x) : PyNumber_Float(x))
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
static int __Pyx_sys_getdefaultencoding_not_ascii;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    PyObject* ascii_chars_u = NULL;
    PyObject* ascii_chars_b = NULL;
    const char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    if (strcmp(default_encoding_c, "ascii") == 0) {
        __Pyx_sys_getdefaultencoding_not_ascii = 0;
    } else {
        char ascii_chars[128];
        int c;
        for (c = 0; c < 128; c++) {
            ascii_chars[c] = c;
        }
        __Pyx_sys_getdefaultencoding_not_ascii = 1;
        ascii_chars_u = PyUnicode_DecodeASCII(ascii_chars, 128, NULL);
        if (!ascii_chars_u) goto bad;
        ascii_chars_b = PyUnicode_AsEncodedString(ascii_chars_u, default_encoding_c, NULL);
        if (!ascii_chars_b || !PyBytes_Check(ascii_chars_b) || memcmp(ascii_chars, PyBytes_AS_STRING(ascii_chars_b), 128) != 0) {
            PyErr_Format(
                PyExc_ValueError,
                "This module compiled with c_string_encoding=ascii, but default encoding '%.200s' is not a superset of ascii.",
                default_encoding_c);
            goto bad;
        }
        Py_DECREF(ascii_chars_u);
        Py_DECREF(ascii_chars_b);
    }
    Py_DECREF(default_encoding);
    return 0;
bad:
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    Py_XDECREF(ascii_chars_u);
    Py_XDECREF(ascii_chars_b);
    return -1;
}
#endif
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT && PY_MAJOR_VERSION >= 3
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_DecodeUTF8(c_str, size, NULL)
#else
#define __Pyx_PyUnicode_FromStringAndSize(c_str, size) PyUnicode_Decode(c_str, size, __PYX_DEFAULT_STRING_ENCODING, NULL)
#if __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT
static char* __PYX_DEFAULT_STRING_ENCODING;
static int __Pyx_init_sys_getdefaultencoding_params(void) {
    PyObject* sys;
    PyObject* default_encoding = NULL;
    char* default_encoding_c;
    sys = PyImport_ImportModule("sys");
    if (!sys) goto bad;
    default_encoding = PyObject_CallMethod(sys, (char*) (const char*) "getdefaultencoding", NULL);
    Py_DECREF(sys);
    if (!default_encoding) goto bad;
    default_encoding_c = PyBytes_AsString(default_encoding);
    if (!default_encoding_c) goto bad;
    __PYX_DEFAULT_STRING_ENCODING = (char*) malloc(strlen(default_encoding_c));
    if (!__PYX_DEFAULT_STRING_ENCODING) goto bad;
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    Py_DECREF(default_encoding);
    return 0;
bad:
    Py_XDECREF(default_encoding);
    return -1;
}
#endif
#endif


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

static PyObject *__pyx_m;
static PyObject *__pyx_d;
static PyObject *__pyx_b;
static PyObject *__pyx_cython_runtime;
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[] = {
  "discodop/coarsetofine.pyx",
  "array.pxd",
  "discodop/containers.pxd",
  "stringsource",
  "type.pxd",
  "discodop/pcfg.pxd",
  "discodop/plcfrs.pxd",
};
/* None.proto */
#if defined(__GNUC__)
#define __Pyx_PACKED __attribute__((__packed__))
#else
#define __Pyx_PACKED
#endif


/* "containers.pxd":21
 * include "constants.pxi"
 * 
 * ctypedef uint16_t Idx  # PCFG chart indices; max 16 bits.             # <<<<<<<<<<<<<<
 * 
 * cdef extern from "_containers.h":
 */
typedef uint16_t __pyx_t_8discodop_10containers_Idx;

/*--- Type declarations ---*/
#ifndef _ARRAYARRAY_H
struct arrayobject;
typedef struct arrayobject arrayobject;
#endif
struct __pyx_obj_8discodop_10containers_StringList;
struct __pyx_obj_8discodop_10containers_StringIntDict;
struct __pyx_obj_8discodop_10containers_Grammar;
struct __pyx_obj_8discodop_10containers_Chart;
struct __pyx_obj_8discodop_10containers_Whitelist;
struct __pyx_obj_8discodop_10containers_Ctrees;
struct __pyx_obj_8discodop_10containers_Vocabulary;
struct __pyx_obj_8discodop_10containers_FixedVocabulary;
struct __pyx_obj_8discodop_4pcfg_CFGChart;
struct __pyx_obj_8discodop_4pcfg_DenseCFGChart;
struct __pyx_obj_8discodop_4pcfg_SparseCFGChart;
struct __pyx_obj_8discodop_6plcfrs_LCFRSChart;
struct __pyx_obj_8discodop_6plcfrs_SmallLCFRSChart;
struct __pyx_obj_8discodop_6plcfrs_FatLCFRSChart;
struct __pyx_t_8discodop_10containers_Node;
struct __pyx_t_8discodop_10containers_NodeArray;
union __pyx_t_8discodop_10containers_ItemType;
struct __pyx_t_8discodop_10containers_DArray;

/* "containers.pxd":638
 * # start fragments stuff
 * 
 * cdef packed struct Node:  # a node of a binary tree             # <<<<<<<<<<<<<<
 * 	int32_t prod # >= 0: production ID; -1: unseen production
 * 	int16_t left  # >= 0: array idx to child Node; <0: idx sent[-left - 1];
 */
#if defined(__SUNPRO_C)
  #pragma pack(1)
#elif !defined(__GNUC__)
  #pragma pack(push, 1)
#endif
struct __Pyx_PACKED __pyx_t_8discodop_10containers_Node {
  int32_t prod;
  int16_t left;
  int16_t right;
};
#if defined(__SUNPRO_C)
  #pragma pack()
#elif !defined(__GNUC__)
  #pragma pack(pop)
#endif

/* "containers.pxd":644
 * 
 * 
 * cdef packed struct NodeArray:  # a tree as an array of Node structs             # <<<<<<<<<<<<<<
 * 	uint32_t offset  # index to Node array where this tree starts
 * 	int16_t len, root  # number of nodes, index to root node
 */
#if defined(__SUNPRO_C)
  #pragma pack(1)
#elif !defined(__GNUC__)
  #pragma pack(push, 1)
#endif
struct __Pyx_PACKED __pyx_t_8discodop_10containers_NodeArray {
  uint32_t offset;
  int16_t len;
  int16_t root;
};
#if defined(__SUNPRO_C)
  #pragma pack()
#elif !defined(__GNUC__)
  #pragma pack(pop)
#endif

/* "containers.pxd":664
 * 
 * 
 * cdef union ItemType:             # <<<<<<<<<<<<<<
 * 	void *ptr
 * 	char *aschar
 */
union __pyx_t_8discodop_10containers_ItemType {
  void *ptr;
  char *aschar;
  uint32_t *asint;
};

/* "containers.pxd":670
 * 
 * 
 * cdef struct DArray:             # <<<<<<<<<<<<<<
 * 	uint8_t itemsize
 * 	uint32_t len
 */
struct __pyx_t_8discodop_10containers_DArray {
  uint8_t itemsize;
  uint32_t len;
  uint32_t capacity;
  union __pyx_t_8discodop_10containers_ItemType d;
};
struct __pyx_t_8discodop_4pcfg_MidFilter;
struct __pyx_t_8discodop_4pcfg_SparseCFGItem;
union __pyx_t_8discodop_4pcfg_CFGItem;

/* "pcfg.pxd":19
 * 
 * # Records the minimum and maximum mid points for (left/right index, label)
 * cdef struct MidFilter:             # <<<<<<<<<<<<<<
 * 	vector[short] minleft, maxleft, minright, maxright
 * 
 */
struct __pyx_t_8discodop_4pcfg_MidFilter {
  std::vector<short>  minleft;
  std::vector<short>  maxleft;
  std::vector<short>  minright;
  std::vector<short>  maxright;
};

/* "pcfg.pxd":37
 * # in both cases, an item can be constructed from a cell (an item with label 0)
 * # by adding the label to it.
 * cdef packed struct SparseCFGItem:             # <<<<<<<<<<<<<<
 * 		Label label
 * 		Idx start
 */
#if defined(__SUNPRO_C)
  #pragma pack(1)
#elif !defined(__GNUC__)
  #pragma pack(push, 1)
#endif
struct __Pyx_PACKED __pyx_t_8discodop_4pcfg_SparseCFGItem {
  Label label;
  __pyx_t_8discodop_10containers_Idx start;
  __pyx_t_8discodop_10containers_Idx end;
};
#if defined(__SUNPRO_C)
  #pragma pack()
#elif !defined(__GNUC__)
  #pragma pack(pop)
#endif

/* "pcfg.pxd":43
 * 
 * 
 * cdef union CFGItem:             # <<<<<<<<<<<<<<
 * 	uint64_t dt
 * 	SparseCFGItem st
 */
union __pyx_t_8discodop_4pcfg_CFGItem {
  uint64_t dt;
  struct __pyx_t_8discodop_4pcfg_SparseCFGItem st;
};

/* "containers.pxd":509
 * 
 * @cython.final
 * cdef class StringList(object):             # <<<<<<<<<<<<<<
 * 	cdef vector[string] ob
 * 
 */
struct __pyx_obj_8discodop_10containers_StringList {
  PyObject_HEAD
  std::vector<std::string>  ob;
};


/* "containers.pxd":514
 * 
 * @cython.final
 * cdef class StringIntDict(object):             # <<<<<<<<<<<<<<
 * 	cdef sparse_hash_map[string, Label] ob
 * 
 */
struct __pyx_obj_8discodop_10containers_StringIntDict {
  PyObject_HEAD
  spp::sparse_hash_map<std::string,Label>  ob;
};


/* "containers.pxd":519
 * 
 * @cython.final
 * cdef class Grammar:             # <<<<<<<<<<<<<<
 * 	cdef ProbRule **bylhs
 * 	cdef ProbRule **unary
 */
struct __pyx_obj_8discodop_10containers_Grammar {
  PyObject_HEAD
  struct __pyx_vtabstruct_8discodop_10containers_Grammar *__pyx_vtab;
  ProbRule **bylhs;
  ProbRule **unary;
  ProbRule **lbinary;
  ProbRule **rbinary;
  std::vector<LexicalRule>  lexical;
  spp::sparse_hash_map<std::string,std::vector<uint32_t> >  lexicalbyword;
  spp::sparse_hash_map<Label,spp::sparse_hash_map<std::string,uint32_t> >  lexicalbylhs;
  Label *mapping;
  Label *selfmapping;
  Label **splitmapping;
  uint32_t *revrulemap;
  uint64_t *mask;
  std::vector<std::vector<Label> >  revmap;
  std::vector<uint8_t>  fanout;
  std::vector<ProbRule>  buf;
  RuleHashMap<uint32_t>  rulenos;
  size_t nonterminals;
  size_t phrasalnonterminals;
  size_t numrules;
  size_t numunary;
  size_t numbinary;
  size_t maxfanout;
  int logprob;
  int bitpar;
  PyObject *start;
  PyObject *rulesfile;
  PyObject *lexiconfile;
  PyObject *altweightsfile;
  PyObject *ruletuples;
  struct __pyx_obj_8discodop_10containers_StringList *tolabel;
  struct __pyx_obj_8discodop_10containers_StringIntDict *toid;
  PyObject *rulemapping;
  PyObject *selfrulemapping;
  PyObject *currentmodel;
  std::vector<Prob>  defaultmodel;
  PyObject *models;
};


/* "containers.pxd":560
 * # [ ] can we exploit bottom-up order of parser or previous CTF stages
 * # 		to pack the parse forest?
 * cdef class Chart:             # <<<<<<<<<<<<<<
 * 	cdef vector[Prob] probs
 * 	cdef vector[Prob] inside
 */
struct __pyx_obj_8discodop_10containers_Chart {
  PyObject_HEAD
  struct __pyx_vtabstruct_8discodop_10containers_Chart *__pyx_vtab;
  std::vector<Prob>  probs;
  std::vector<Prob>  inside;
  std::vector<Prob>  outside;
  std::vector<std::vector<Edge> >  parseforest;
  std::vector<std::vector<std::pair<RankedEdge,Prob> > >  rankededges;
  PyObject *derivations;
  struct __pyx_obj_8discodop_10containers_Grammar *grammar;
  PyObject *sent;
  short lensent;
  Label start;
  int logprob;
  int viterbi;
};


/* "containers.pxd":591
 * 
 * @cython.final
 * cdef class Whitelist:             # <<<<<<<<<<<<<<
 * 	cdef vector[sparse_hash_set[Label]] cfg  # span -> set of labels
 * 	# cdef vector[vector[Label]] cfg  # span -> sorted array of fine labels
 */
struct __pyx_obj_8discodop_10containers_Whitelist {
  PyObject_HEAD
  std::vector<spp::sparse_hash_set<Label> >  cfg;
  std::vector<SmallChartItemSet>  small;
  std::vector<FatChartItemSet>  fat;
  Label *mapping;
  Label **splitmapping;
};


/* "containers.pxd":650
 * 
 * @cython.final
 * cdef class Ctrees:             # <<<<<<<<<<<<<<
 * 	cdef Node *nodes
 * 	cdef NodeArray *trees
 */
struct __pyx_obj_8discodop_10containers_Ctrees {
  PyObject_HEAD
  struct __pyx_vtabstruct_8discodop_10containers_Ctrees *__pyx_vtab;
  struct __pyx_t_8discodop_10containers_Node *nodes;
  struct __pyx_t_8discodop_10containers_NodeArray *trees;
  long nodesleft;
  long max;
  size_t numnodes;
  size_t numwords;
  short maxnodes;
  int len;
  PyObject *prodindex;
  PyObject *_state;
};


/* "containers.pxd":677
 * 
 * 
 * cdef class Vocabulary:             # <<<<<<<<<<<<<<
 * 	cdef readonly dict prods  # production str. => int
 * 	cdef readonly dict labels  # label/word str => int
 */
struct __pyx_obj_8discodop_10containers_Vocabulary {
  PyObject_HEAD
  struct __pyx_vtabstruct_8discodop_10containers_Vocabulary *__pyx_vtab;
  PyObject *prods;
  PyObject *labels;
  struct __pyx_t_8discodop_10containers_DArray prodbuf;
  struct __pyx_t_8discodop_10containers_DArray labelbuf;
  struct __pyx_t_8discodop_10containers_DArray labelidx;
};


/* "containers.pxd":692
 * 
 * 
 * cdef class FixedVocabulary(Vocabulary):             # <<<<<<<<<<<<<<
 * 	cdef object state  # to keep buffer alive
 * 
 */
struct __pyx_obj_8discodop_10containers_FixedVocabulary {
  struct __pyx_obj_8discodop_10containers_Vocabulary __pyx_base;
  PyObject *state;
};


/* "pcfg.pxd":48
 * 
 * 
 * cdef class CFGChart(Chart):             # <<<<<<<<<<<<<<
 * 	cdef vector[uint64_t] items
 * 	cdef vector[Prob] beambuckets
 */
struct __pyx_obj_8discodop_4pcfg_CFGChart {
  struct __pyx_obj_8discodop_10containers_Chart __pyx_base;
  std::vector<uint64_t>  items;
  std::vector<Prob>  beambuckets;
};


/* "pcfg.pxd":55
 * 
 * @cython.final
 * cdef class DenseCFGChart(CFGChart):             # <<<<<<<<<<<<<<
 * 	cdef void addedge(self, uint64_t item, Idx mid, ProbRule *rule)
 * 	cdef bint updateprob(self, uint64_t item, Prob prob, Prob beam)
 */
struct __pyx_obj_8discodop_4pcfg_DenseCFGChart {
  struct __pyx_obj_8discodop_4pcfg_CFGChart __pyx_base;
};


/* "pcfg.pxd":64
 * 
 * @cython.final
 * cdef class SparseCFGChart(CFGChart):             # <<<<<<<<<<<<<<
 * 	cdef sparse_hash_map[uint64_t, ItemNo] itemindex
 * 	cdef void addedge(self, uint64_t item, Idx mid, ProbRule *rule)
 */
struct __pyx_obj_8discodop_4pcfg_SparseCFGChart {
  struct __pyx_obj_8discodop_4pcfg_CFGChart __pyx_base;
  spp::sparse_hash_map<uint64_t,ItemNo>  itemindex;
};


/* "plcfrs.pxd":30
 * 	FatChartItem
 * 
 * cdef class LCFRSChart(Chart):             # <<<<<<<<<<<<<<
 * 	cdef void addlexedge(self, ItemNo itemidx, short wordidx)
 * 	cdef void updateprob(self, ItemNo itemidx, Prob prob)
 */
struct __pyx_obj_8discodop_6plcfrs_LCFRSChart {
  struct __pyx_obj_8discodop_10containers_Chart __pyx_base;
};


/* "plcfrs.pxd":38
 * 
 * @cython.final
 * cdef class SmallLCFRSChart(LCFRSChart):             # <<<<<<<<<<<<<<
 * 	cdef vector[SmallChartItem] items
 * 	cdef SmallChartItemBtreeMap[ItemNo] itemindex
 */
struct __pyx_obj_8discodop_6plcfrs_SmallLCFRSChart {
  struct __pyx_obj_8discodop_6plcfrs_LCFRSChart __pyx_base;
  std::vector<SmallChartItem>  items;
  SmallChartItemBtreeMap<ItemNo>  itemindex;
  SmallChartItemBtreeMap<Prob>  beambuckets;
};


/* "plcfrs.pxd":49
 * 
 * @cython.final
 * cdef class FatLCFRSChart(LCFRSChart):             # <<<<<<<<<<<<<<
 * 	cdef vector[FatChartItem] items
 * 	cdef FatChartItemBtreeMap[ItemNo] itemindex
 */
struct __pyx_obj_8discodop_6plcfrs_FatLCFRSChart {
  struct __pyx_obj_8discodop_6plcfrs_LCFRSChart __pyx_base;
  std::vector<FatChartItem>  items;
  FatChartItemBtreeMap<ItemNo>  itemindex;
  FatChartItemBtreeMap<Prob>  beambuckets;
};



/* "containers.pxd":519
 * 
 * @cython.final
 * cdef class Grammar:             # <<<<<<<<<<<<<<
 * 	cdef ProbRule **bylhs
 * 	cdef ProbRule **unary
 */

struct __pyx_vtabstruct_8discodop_10containers_Grammar {
  PyObject *(*_indexrules)(struct __pyx_obj_8discodop_10containers_Grammar *, ProbRule **, int, int);
  PyObject *(*rulestr)(struct __pyx_obj_8discodop_10containers_Grammar *, int, int __pyx_skip_dispatch);
  PyObject *(*noderuleno)(struct __pyx_obj_8discodop_10containers_Grammar *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*getruleno)(struct __pyx_obj_8discodop_10containers_Grammar *, PyObject *, PyObject *, int __pyx_skip_dispatch);
  PyObject *(*yfstr)(struct __pyx_obj_8discodop_10containers_Grammar *, ProbRule);
};
static struct __pyx_vtabstruct_8discodop_10containers_Grammar *__pyx_vtabptr_8discodop_10containers_Grammar;


/* "containers.pxd":560
 * # [ ] can we exploit bottom-up order of parser or previous CTF stages
 * # 		to pack the parse forest?
 * cdef class Chart:             # <<<<<<<<<<<<<<
 * 	cdef vector[Prob] probs
 * 	cdef vector[Prob] inside
 */

struct __pyx_vtabstruct_8discodop_10containers_Chart {
  int (*lexidx)(struct __pyx_obj_8discodop_10containers_Chart *, Edge);
  Prob (*subtreeprob)(struct __pyx_obj_8discodop_10containers_Chart *, ItemNo);
  Prob (*lexprob)(struct __pyx_obj_8discodop_10containers_Chart *, ItemNo, Edge);
  PyObject *(*edgestr)(struct __pyx_obj_8discodop_10containers_Chart *, ItemNo, Edge);
  ItemNo (*_left)(struct __pyx_obj_8discodop_10containers_Chart *, ItemNo, Edge);
  ItemNo (*_right)(struct __pyx_obj_8discodop_10containers_Chart *, ItemNo, Edge);
  ItemNo (*left)(struct __pyx_obj_8discodop_10containers_Chart *, RankedEdge);
  ItemNo (*right)(struct __pyx_obj_8discodop_10containers_Chart *, RankedEdge);
  Label (*label)(struct __pyx_obj_8discodop_10containers_Chart *, ItemNo);
  ItemNo (*getitemidx)(struct __pyx_obj_8discodop_10containers_Chart *, uint64_t);
  SmallChartItem (*asSmallChartItem)(struct __pyx_obj_8discodop_10containers_Chart *, ItemNo);
  FatChartItem (*asFatChartItem)(struct __pyx_obj_8discodop_10containers_Chart *, ItemNo);
  size_t (*asCFGspan)(struct __pyx_obj_8discodop_10containers_Chart *, ItemNo);
};
static struct __pyx_vtabstruct_8discodop_10containers_Chart *__pyx_vtabptr_8discodop_10containers_Chart;


/* "containers.pxd":650
 * 
 * @cython.final
 * cdef class Ctrees:             # <<<<<<<<<<<<<<
 * 	cdef Node *nodes
 * 	cdef NodeArray *trees
 */

struct __pyx_vtabstruct_8discodop_10containers_Ctrees {
  PyObject *(*alloc)(struct __pyx_obj_8discodop_10containers_Ctrees *, int, long, int __pyx_skip_dispatch);
  PyObject *(*realloc)(struct __pyx_obj_8discodop_10containers_Ctrees *, int, int);
  PyObject *(*addnodes)(struct __pyx_obj_8discodop_10containers_Ctrees *, struct __pyx_t_8discodop_10containers_Node *, int, int);
};
static struct __pyx_vtabstruct_8discodop_10containers_Ctrees *__pyx_vtabptr_8discodop_10containers_Ctrees;


/* "containers.pxd":677
 * 
 * 
 * cdef class Vocabulary:             # <<<<<<<<<<<<<<
 * 	cdef readonly dict prods  # production str. => int
 * 	cdef readonly dict labels  # label/word str => int
 */

struct __pyx_vtabstruct_8discodop_10containers_Vocabulary {
  PyObject *(*idtolabel)(struct __pyx_obj_8discodop_10containers_Vocabulary *, uint32_t);
  PyObject *(*getlabel)(struct __pyx_obj_8discodop_10containers_Vocabulary *, int);
  PyObject *(*getword)(struct __pyx_obj_8discodop_10containers_Vocabulary *, int);
  int (*islexical)(struct __pyx_obj_8discodop_10containers_Vocabulary *, int);
  int (*getprod)(struct __pyx_obj_8discodop_10containers_Vocabulary *, PyObject *, PyObject *);
  int (*_getprodid)(struct __pyx_obj_8discodop_10containers_Vocabulary *, PyObject *);
  int (*_getlabelid)(struct __pyx_obj_8discodop_10containers_Vocabulary *, PyObject *);
};
static struct __pyx_vtabstruct_8discodop_10containers_Vocabulary *__pyx_vtabptr_8discodop_10containers_Vocabulary;


/* "containers.pxd":692
 * 
 * 
 * cdef class FixedVocabulary(Vocabulary):             # <<<<<<<<<<<<<<
 * 	cdef object state  # to keep buffer alive
 * 
 */

struct __pyx_vtabstruct_8discodop_10containers_FixedVocabulary {
  struct __pyx_vtabstruct_8discodop_10containers_Vocabulary __pyx_base;
};
static struct __pyx_vtabstruct_8discodop_10containers_FixedVocabulary *__pyx_vtabptr_8discodop_10containers_FixedVocabulary;


/* "pcfg.pxd":48
 * 
 * 
 * cdef class CFGChart(Chart):             # <<<<<<<<<<<<<<
 * 	cdef vector[uint64_t] items
 * 	cdef vector[Prob] beambuckets
 */

struct __pyx_vtabstruct_8discodop_4pcfg_CFGChart {
  struct __pyx_vtabstruct_8discodop_10containers_Chart __pyx_base;
};
static struct __pyx_vtabstruct_8discodop_4pcfg_CFGChart *__pyx_vtabptr_8discodop_4pcfg_CFGChart;


/* "pcfg.pxd":55
 * 
 * @cython.final
 * cdef class DenseCFGChart(CFGChart):             # <<<<<<<<<<<<<<
 * 	cdef void addedge(self, uint64_t item, Idx mid, ProbRule *rule)
 * 	cdef bint updateprob(self, uint64_t item, Prob prob, Prob beam)
 */

struct __pyx_vtabstruct_8discodop_4pcfg_DenseCFGChart {
  struct __pyx_vtabstruct_8discodop_4pcfg_CFGChart __pyx_base;
  void (*addedge)(struct __pyx_obj_8discodop_4pcfg_DenseCFGChart *, uint64_t, __pyx_t_8discodop_10containers_Idx, ProbRule *);
  int (*updateprob)(struct __pyx_obj_8discodop_4pcfg_DenseCFGChart *, uint64_t, Prob, Prob);
  Label (*_label)(struct __pyx_obj_8discodop_4pcfg_DenseCFGChart *, uint64_t);
  Prob (*_subtreeprob)(struct __pyx_obj_8discodop_4pcfg_DenseCFGChart *, uint64_t);
  int (*_hasitem)(struct __pyx_obj_8discodop_4pcfg_DenseCFGChart *, uint64_t);
};
static struct __pyx_vtabstruct_8discodop_4pcfg_DenseCFGChart *__pyx_vtabptr_8discodop_4pcfg_DenseCFGChart;


/* "pcfg.pxd":64
 * 
 * @cython.final
 * cdef class SparseCFGChart(CFGChart):             # <<<<<<<<<<<<<<
 * 	cdef sparse_hash_map[uint64_t, ItemNo] itemindex
 * 	cdef void addedge(self, uint64_t item, Idx mid, ProbRule *rule)
 */

struct __pyx_vtabstruct_8discodop_4pcfg_SparseCFGChart {
  struct __pyx_vtabstruct_8discodop_4pcfg_CFGChart __pyx_base;
  void (*addedge)(struct __pyx_obj_8discodop_4pcfg_SparseCFGChart *, uint64_t, __pyx_t_8discodop_10containers_Idx, ProbRule *);
  int (*updateprob)(struct __pyx_obj_8discodop_4pcfg_SparseCFGChart *, uint64_t, Prob, Prob);
  Label (*_label)(struct __pyx_obj_8discodop_4pcfg_SparseCFGChart *, uint64_t);
  Prob (*_subtreeprob)(struct __pyx_obj_8discodop_4pcfg_SparseCFGChart *, uint64_t);
  int (*_hasitem)(struct __pyx_obj_8discodop_4pcfg_SparseCFGChart *, uint64_t);
};
static struct __pyx_vtabstruct_8discodop_4pcfg_SparseCFGChart *__pyx_vtabptr_8discodop_4pcfg_SparseCFGChart;


/* "plcfrs.pxd":30
 * 	FatChartItem
 * 
 * cdef class LCFRSChart(Chart):             # <<<<<<<<<<<<<<
 * 	cdef void addlexedge(self, ItemNo itemidx, short wordidx)
 * 	cdef void updateprob(self, ItemNo itemidx, Prob prob)
 */

struct __pyx_vtabstruct_8discodop_6plcfrs_LCFRSChart {
  struct __pyx_vtabstruct_8discodop_10containers_Chart __pyx_base;
  void (*addlexedge)(struct __pyx_obj_8discodop_6plcfrs_LCFRSChart *, ItemNo, short);
  void (*updateprob)(struct __pyx_obj_8discodop_6plcfrs_LCFRSChart *, ItemNo, Prob);
  void (*addprob)(struct __pyx_obj_8discodop_6plcfrs_LCFRSChart *, ItemNo, Prob);
  Prob (*_subtreeprob)(struct __pyx_obj_8discodop_6plcfrs_LCFRSChart *, ItemNo);
};
static struct __pyx_vtabstruct_8discodop_6plcfrs_LCFRSChart *__pyx_vtabptr_8discodop_6plcfrs_LCFRSChart;


/* "plcfrs.pxd":38
 * 
 * @cython.final
 * cdef class SmallLCFRSChart(LCFRSChart):             # <<<<<<<<<<<<<<
 * 	cdef vector[SmallChartItem] items
 * 	cdef SmallChartItemBtreeMap[ItemNo] itemindex
 */

struct __pyx_vtabstruct_8discodop_6plcfrs_SmallLCFRSChart {
  struct __pyx_vtabstruct_8discodop_6plcfrs_LCFRSChart __pyx_base;
  SmallChartItem (*_root)(struct __pyx_obj_8discodop_6plcfrs_SmallLCFRSChart *);
  Label (*_label)(struct __pyx_obj_8discodop_6plcfrs_SmallLCFRSChart *, ItemNo);
  void (*addedge)(struct __pyx_obj_8discodop_6plcfrs_SmallLCFRSChart *, ItemNo, ItemNo, SmallChartItem &, ProbRule *);
};
static struct __pyx_vtabstruct_8discodop_6plcfrs_SmallLCFRSChart *__pyx_vtabptr_8discodop_6plcfrs_SmallLCFRSChart;


/* "plcfrs.pxd":49
 * 
 * @cython.final
 * cdef class FatLCFRSChart(LCFRSChart):             # <<<<<<<<<<<<<<
 * 	cdef vector[FatChartItem] items
 * 	cdef FatChartItemBtreeMap[ItemNo] itemindex
 */

struct __pyx_vtabstruct_8discodop_6plcfrs_FatLCFRSChart {
  struct __pyx_vtabstruct_8discodop_6plcfrs_LCFRSChart __pyx_base;
  FatChartItem (*_root)(struct __pyx_obj_8discodop_6plcfrs_FatLCFRSChart *);
  Label (*_label)(struct __pyx_obj_8discodop_6plcfrs_FatLCFRSChart *, ItemNo);
  void (*addedge)(struct __pyx_obj_8discodop_6plcfrs_FatLCFRSChart *, ItemNo, ItemNo, FatChartItem &, ProbRule *);
};
static struct __pyx_vtabstruct_8discodop_6plcfrs_FatLCFRSChart *__pyx_vtabptr_8discodop_6plcfrs_FatLCFRSChart;

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static CYTHON_INLINE PyObject *__Pyx_GetItemInt_Fast(PyObject *o, Py_ssize_t i,
                                                     int is_list, int wraparound, int boundscheck);

/* SliceTupleAndList.proto */
#if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE PyObject* __Pyx_PyList_GetSlice(PyObject* src, Py_ssize_t start, Py_ssize_t stop);
static CYTHON_INLINE PyObject* __Pyx_PyTuple_GetSlice(PyObject* src, Py_ssize_t start, Py_ssize_t stop);
#else
#define __Pyx_PyList_GetSlice(seq, start, stop)   PySequence_GetSlice(seq, start, stop)
#define __Pyx_PyTuple_GetSlice(seq, start, stop)  PySequence_GetSlice(seq, start, stop)
#endif

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

/* ListAppend.proto */
#if CYTHON_USE_PYLIST_INTERNALS && CYTHON_ASSUME_SAFE_MACROS
static CYTHON_INLINE int __Pyx_PyList_Append(PyObject* list, PyObject* x) {
    PyListObject* L = (PyListObject*) list;
    Py_ssize_t len = Py_SIZE(list);
    if (likely(L->allocated > len) & likely(len > (L->allocated >> 1))) {
        Py_INCREF(x);
        PyList_SET_ITEM(list, len, x);
        Py_SIZE(list) = len+1;
        return 0;
    }
    return PyList_Append(list, x);
}
#else
#define __Pyx_PyList_Append(L,x) PyList_Append(L,x)
#endif

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

/* CLineInTraceback.proto */
static int __Pyx_CLineForTraceback(int c_line);

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

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

/* CIntToPy.proto */
static CYTHON_INLINE PyObject* __Pyx_PyInt_From_uint32_t(uint32_t value);

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

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

/* None.proto */
#include <new>

/* ArrayAPI.proto */
#ifndef _ARRAYARRAY_H
#define _ARRAYARRAY_H
typedef struct arraydescr {
    int typecode;
    int itemsize;
    PyObject * (*getitem)(struct arrayobject *, Py_ssize_t);
    int (*setitem)(struct arrayobject *, Py_ssize_t, PyObject *);
#if PY_MAJOR_VERSION >= 3
    char *formats;
#endif
} arraydescr;
struct arrayobject {
    PyObject_HEAD
    Py_ssize_t ob_size;
    union {
        char *ob_item;
        float *as_floats;
        double *as_doubles;
        int *as_ints;
        unsigned int *as_uints;
        unsigned char *as_uchars;
        signed char *as_schars;
        char *as_chars;
        unsigned long *as_ulongs;
        long *as_longs;
#if PY_MAJOR_VERSION >= 3
        unsigned long long *as_ulonglongs;
        long long *as_longlongs;
#endif
        short *as_shorts;
        unsigned short *as_ushorts;
        Py_UNICODE *as_pyunicodes;
        void *as_voidptr;
    } data;
    Py_ssize_t allocated;
    struct arraydescr *ob_descr;
    PyObject *weakreflist;
#if PY_MAJOR_VERSION >= 3
        int ob_exports;
#endif
};
#ifndef NO_NEWARRAY_INLINE
static CYTHON_INLINE PyObject * newarrayobject(PyTypeObject *type, Py_ssize_t size,
    struct arraydescr *descr) {
    arrayobject *op;
    size_t nbytes;
    if (size < 0) {
        PyErr_BadInternalCall();
        return NULL;
    }
    nbytes = size * descr->itemsize;
    if (nbytes / descr->itemsize != (size_t)size) {
        return PyErr_NoMemory();
    }
    op = (arrayobject *) type->tp_alloc(type, 0);
    if (op == NULL) {
        return NULL;
    }
    op->ob_descr = descr;
    op->allocated = size;
    op->weakreflist = NULL;
    op->ob_size = size;
    if (size <= 0) {
        op->data.ob_item = NULL;
    }
    else {
        op->data.ob_item = PyMem_NEW(char, nbytes);
        if (op->data.ob_item == NULL) {
            Py_DECREF(op);
            return PyErr_NoMemory();
        }
    }
    return (PyObject *) op;
}
#else
PyObject* newarrayobject(PyTypeObject *type, Py_ssize_t size,
    struct arraydescr *descr);
#endif
static CYTHON_INLINE int resize(arrayobject *self, Py_ssize_t n) {
    void *items = (void*) self->data.ob_item;
    PyMem_Resize(items, char, (size_t)(n * self->ob_descr->itemsize));
    if (items == NULL) {
        PyErr_NoMemory();
        return -1;
    }
    self->data.ob_item = (char*) items;
    self->ob_size = n;
    self->allocated = n;
    return 0;
}
static CYTHON_INLINE int resize_smart(arrayobject *self, Py_ssize_t n) {
    void *items = (void*) self->data.ob_item;
    Py_ssize_t newsize;
    if (n < self->allocated && n*4 > self->allocated) {
        self->ob_size = n;
        return 0;
    }
    newsize = n + (n / 2) + 1;
    if (newsize <= n) {
        PyErr_NoMemory();
        return -1;
    }
    PyMem_Resize(items, char, (size_t)(newsize * self->ob_descr->itemsize));
    if (items == NULL) {
        PyErr_NoMemory();
        return -1;
    }
    self->data.ob_item = (char*) items;
    self->ob_size = n;
    self->allocated = newsize;
    return 0;
}
#endif

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

/* CIntFromPy.proto */
static CYTHON_INLINE uint32_t __Pyx_PyInt_As_uint32_t(PyObject *);

/* CIntFromPy.proto */
static CYTHON_INLINE size_t __Pyx_PyInt_As_size_t(PyObject *);

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

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

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

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

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

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

/* VoidPtrImport.proto */
static int __Pyx_ImportVoidPtr(PyObject *module, const char *name, void **p, const char *sig);

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

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


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

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

/* Module declarations from 'libcpp' */

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

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

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

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

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

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

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

/* Module declarations from '__builtin__' */

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

/* Module declarations from 'cpython' */

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

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

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

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

/* Module declarations from 'array' */

/* Module declarations from 'cpython.array' */
static PyTypeObject *__pyx_ptype_7cpython_5array_array = 0;
static CYTHON_INLINE arrayobject *__pyx_f_7cpython_5array_clone(arrayobject *, Py_ssize_t, int); /*proto*/
static CYTHON_INLINE int __pyx_f_7cpython_5array_extend_buffer(arrayobject *, char *, Py_ssize_t); /*proto*/

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

/* Module declarations from 'cython' */

/* Module declarations from 'discodop.bit' */
static int (*__pyx_f_8discodop_3bit_bitcount)(uint64_t, int __pyx_skip_dispatch); /*proto*/
static CYTHON_INLINE int __pyx_f_8discodop_3bit_nextset(uint64_t, uint32_t); /*proto*/
static CYTHON_INLINE int __pyx_f_8discodop_3bit_nextunset(uint64_t, uint32_t); /*proto*/
static CYTHON_INLINE int __pyx_f_8discodop_3bit_bitlength(uint64_t); /*proto*/
static CYTHON_INLINE int __pyx_f_8discodop_3bit_abitcount(uint64_t *, int); /*proto*/
static CYTHON_INLINE int __pyx_f_8discodop_3bit_abitlength(uint64_t *, int); /*proto*/
static CYTHON_INLINE int __pyx_f_8discodop_3bit_anextset(uint64_t *, uint32_t, int); /*proto*/
static CYTHON_INLINE int __pyx_f_8discodop_3bit_anextunset(uint64_t *, uint32_t, int); /*proto*/
static CYTHON_INLINE void __pyx_f_8discodop_3bit_setunion(uint64_t *, uint64_t *, uint64_t *, int); /*proto*/

/* Module declarations from 'discodop.containers' */
static PyTypeObject *__pyx_ptype_8discodop_10containers_StringList = 0;
static PyTypeObject *__pyx_ptype_8discodop_10containers_StringIntDict = 0;
static PyTypeObject *__pyx_ptype_8discodop_10containers_Grammar = 0;
static PyTypeObject *__pyx_ptype_8discodop_10containers_Chart = 0;
static PyTypeObject *__pyx_ptype_8discodop_10containers_Whitelist = 0;
static PyTypeObject *__pyx_ptype_8discodop_10containers_Ctrees = 0;
static PyTypeObject *__pyx_ptype_8discodop_10containers_Vocabulary = 0;
static PyTypeObject *__pyx_ptype_8discodop_10containers_FixedVocabulary = 0;
static PyObject **__pyx_vp_8discodop_10containers_log1e200 = 0;
#define __pyx_v_8discodop_10containers_log1e200 (*__pyx_vp_8discodop_10containers_log1e200)
static SmallChartItem (*__pyx_f_8discodop_10containers_CFGtoSmallChartItem)(Label, __pyx_t_8discodop_10containers_Idx, __pyx_t_8discodop_10containers_Idx); /*proto*/
static FatChartItem (*__pyx_f_8discodop_10containers_CFGtoFatChartItem)(Label, __pyx_t_8discodop_10containers_Idx, __pyx_t_8discodop_10containers_Idx); /*proto*/
static CYTHON_INLINE size_t __pyx_f_8discodop_10containers_cellidx(short, short, short, Label); /*proto*/
static CYTHON_INLINE size_t __pyx_f_8discodop_10containers_compactcellidx(short, short, short, Label); /*proto*/

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

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

/* Module declarations from 'discodop.pcfg' */
static PyTypeObject *__pyx_ptype_8discodop_4pcfg_CFGChart = 0;
static PyTypeObject *__pyx_ptype_8discodop_4pcfg_DenseCFGChart = 0;
static PyTypeObject *__pyx_ptype_8discodop_4pcfg_SparseCFGChart = 0;

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

/* Module declarations from 'discodop.plcfrs' */
static PyTypeObject *__pyx_ptype_8discodop_6plcfrs_LCFRSChart = 0;
static PyTypeObject *__pyx_ptype_8discodop_6plcfrs_SmallLCFRSChart = 0;
static PyTypeObject *__pyx_ptype_8discodop_6plcfrs_FatLCFRSChart = 0;

/* Module declarations from 'discodop.coarsetofine' */
static std::vector<ItemNo>  __pyx_convert_vector_from_py_ItemNo(PyObject *); /*proto*/
static PyObject *__pyx_convert_vector_to_py_ItemNo(const std::vector<ItemNo>  &); /*proto*/
#define __Pyx_MODULE_NAME "discodop.coarsetofine"
int __pyx_module_is_main_discodop__coarsetofine = 0;

/* Implementation of 'discodop.coarsetofine' */
static PyObject *__pyx_builtin_ValueError;
static PyObject *__pyx_builtin_range;
static PyObject *__pyx_builtin_zip;
static PyObject *__pyx_builtin_print;
static PyObject *__pyx_builtin_bin;
static PyObject *__pyx_builtin_enumerate;
static PyObject *__pyx_builtin_map;
static PyObject *__pyx_builtin_MemoryError;
static const char __pyx_k_a[] = "a";
static const char __pyx_k_k[] = "k";
static const char __pyx_k_l[] = "l";
static const char __pyx_k_m[] = "m";
static const char __pyx_k_n[] = "n";
static const char __pyx_k_p[] = "p";
static const char __pyx_k_s[] = "s";
static const char __pyx_k_t[] = "t";
static const char __pyx_k_x[] = "x";
static const char __pyx_k_y[] = "y";
static const char __pyx_k__3[] = "";
static const char __pyx_k__5[] = " ";
static const char __pyx_k__6[] = ":";
static const char __pyx_k__7[] = "!";
static const char __pyx_k_np[] = "np";
static const char __pyx_k_re[] = "re";
static const char __pyx_k_yf[] = "yf";
static const char __pyx_k_0_9[] = "@[-0-9]+$";
static const char __pyx_k__31[] = "_";
static const char __pyx_k_all[] = "__all__";
static const char __pyx_k_bin[] = "bin";
static const char __pyx_k_d_d[] = "%d:%d";
static const char __pyx_k_end[] = "end";
static const char __pyx_k_exp[] = "exp";
static const char __pyx_k_map[] = "map";
static const char __pyx_k_mpp[] = "mpp";
static const char __pyx_k_msg[] = "msg";
static const char __pyx_k_vec[] = "vec";
static const char __pyx_k_zip[] = "zip";
static const char __pyx_k_Tree[] = "Tree";
static const char __pyx_k_copy[] = "copy";
static const char __pyx_k_edge[] = "edge";
static const char __pyx_k_fine[] = "fine";
static const char __pyx_k_item[] = "item";
static const char __pyx_k_main[] = "__main__";
static const char __pyx_k_math[] = "math";
static const char __pyx_k_prob[] = "prob";
static const char __pyx_k_root[] = "root";
static const char __pyx_k_sent[] = "sent";
static const char __pyx_k_span[] = "span";
static const char __pyx_k_tags[] = "tags";
static const char __pyx_k_test[] = "test";
static const char __pyx_k_time[] = "time";
static const char __pyx_k_tree[] = "tree";
static const char __pyx_k_begin[] = "begin";
static const char __pyx_k_chart[] = "chart";
static const char __pyx_k_clock[] = "clock";
static const char __pyx_k_fine1[] = "fine1";
static const char __pyx_k_fitem[] = "fitem";
static const char __pyx_k_isinf[] = "isinf";
static const char __pyx_k_items[] = "items";
static const char __pyx_k_kbest[] = "kbest";
static const char __pyx_k_label[] = "label";
static const char __pyx_k_numpy[] = "numpy";
static const char __pyx_k_parse[] = "parse";
static const char __pyx_k_print[] = "print";
static const char __pyx_k_pyexp[] = "pyexp";
static const char __pyx_k_range[] = "range";
static const char __pyx_k_sents[] = "sents";
static const char __pyx_k_sitem[] = "sitem";
static const char __pyx_k_split[] = "split";
static const char __pyx_k_train[] = "train";
static const char __pyx_k_trees[] = "trees";
static const char __pyx_k_chart2[] = "chart2";
static const char __pyx_k_coarse[] = "coarse";
static const char __pyx_k_corpus[] = "corpus";
static const char __pyx_k_derivs[] = "derivs";
static const char __pyx_k_dtrees[] = "dtrees";
static const char __pyx_k_fanout[] = "fanout";
static const char __pyx_k_filter[] = "filter";
static const char __pyx_k_import[] = "__import__";
static const char __pyx_k_normal[] = "normal";
static const char __pyx_k_parent[] = "parent";
static const char __pyx_k_plcfrs[] = "plcfrs";
static const char __pyx_k_splitg[] = "splitg";
static const char __pyx_k_switch[] = "switch";
static const char __pyx_k_test_2[] = "__test__";
static const char __pyx_k_values[] = "values";
static const char __pyx_k_F_I_N_E[] = " F I N E ";
static const char __pyx_k_cftrees[] = "cftrees";
static const char __pyx_k_compile[] = "compile";
static const char __pyx_k_enabled[] = "enabled";
static const char __pyx_k_fine999[] = "fine999";
static const char __pyx_k_finecfg[] = "finecfg";
static const char __pyx_k_grammar[] = "grammar";
static const char __pyx_k_itemidx[] = "itemidx";
static const char __pyx_k_logprob[] = "logprob";
static const char __pyx_k_tolabel[] = "tolabel";
static const char __pyx_k_verbose[] = "verbose";
static const char __pyx_k_binarize[] = "binarize";
static const char __pyx_k_cf_split[] = "cf-split";
static const char __pyx_k_fine999x[] = "fine999x";
static const char __pyx_k_leftitem[] = "leftitem";
static const char __pyx_k_no_match[] = "no match";
static const char __pyx_k_no_parse[] = "no parse";
static const char __pyx_k_numitems[] = "numitems";
static const char __pyx_k_sentprob[] = "sentprob";
static const char __pyx_k_treebank[] = "treebank";
static const char __pyx_k_childchar[] = "childchar";
static const char __pyx_k_doctftest[] = "doctftest";
static const char __pyx_k_enumerate[] = "enumerate";
static const char __pyx_k_getinside[] = "getinside";
static const char __pyx_k_lazykbest[] = "lazykbest";
static const char __pyx_k_numremain[] = "numremain";
static const char __pyx_k_posterior[] = "posterior";
static const char __pyx_k_rightitem[] = "rightitem";
static const char __pyx_k_threshold[] = "threshold";
static const char __pyx_k_whitelist[] = "\nwhitelist:";
static const char __pyx_k_ValueError[] = "ValueError";
static const char __pyx_k_addbitsets[] = "addbitsets";
static const char __pyx_k_getmapping[] = "getmapping";
static const char __pyx_k_getoutside[] = "getoutside";
static const char __pyx_k_horzmarkov[] = "horzmarkov";
static const char __pyx_k_markorigin[] = "markorigin";
static const char __pyx_k_parentchar[] = "parentchar";
static const char __pyx_k_prunechart[] = "prunechart";
static const char __pyx_k_pyx_vtable[] = "__pyx_vtable__";
static const char __pyx_k_splitprune[] = "splitprune";
static const char __pyx_k_tailmarker[] = "tailmarker";
static const char __pyx_k_testmaxlen[] = "testmaxlen";
static const char __pyx_k_unbinarize[] = "unbinarize";
static const char __pyx_k_unfiltered[] = "unfiltered";
static const char __pyx_k_vertmarkov[] = "vertmarkov";
static const char __pyx_k_C_O_A_R_S_E[] = " C O A R S E ";
static const char __pyx_k_MemoryError[] = "MemoryError";
static const char __pyx_k_coarsechart[] = "coarsechart";
static const char __pyx_k_exact_match[] = "exact match";
static const char __pyx_k_marginalize[] = "marginalize";
static const char __pyx_k_normallcfrs[] = "normallcfrs";
static const char __pyx_k_origlogprob[] = "origlogprob";
static const char __pyx_k_outsideprob[] = "outsideprob";
static const char __pyx_k_parentannot[] = "parentannot";
static const char __pyx_k_parenttrees[] = "parenttrees";
static const char __pyx_k_rankededges[] = "rankededges";
static const char __pyx_k_whitelist_2[] = "whitelist";
static const char __pyx_k_canonicalize[] = "canonicalize";
static const char __pyx_k_dopreduction[] = "dopreduction";
static const char __pyx_k_tagged_sents[] = "tagged_sents";
static const char __pyx_k_time_elapsed[] = "time elapsed";
static const char __pyx_k_leftmostunary[] = "leftmostunary";
static const char __pyx_k_subsetgrammar[] = "subsetgrammar";
static const char __pyx_k_coarse_grammar[] = "coarse grammar:";
static const char __pyx_k_disambiguation[] = "disambiguation";
static const char __pyx_k_getderivations[] = "getderivations";
static const char __pyx_k_mergediscnodes[] = "mergediscnodes";
static const char __pyx_k_splitdiscnodes[] = "splitdiscnodes";
static const char __pyx_k_treetransforms[] = "treetransforms";
static const char __pyx_k_treebankgrammar[] = "treebankgrammar";
static const char __pyx_k_addfanoutmarkers[] = "addfanoutmarkers";
static const char __pyx_k_no_parse_problem[] = "no parse. problem.";
static const char __pyx_k_NegraCorpusReader[] = "NegraCorpusReader";
static const char __pyx_k_cline_in_traceback[] = "cline_in_traceback";
static const char __pyx_k_posteriorthreshold[] = "posteriorthreshold";
static const char __pyx_k_alpinosample_export[] = "alpinosample.export";
static const char __pyx_k_removefanoutmarkers[] = "removefanoutmarkers";
static const char __pyx_k_discodop_coarsetofine[] = "discodop.coarsetofine";
static const char __pyx_k_DOP_grammar_is_a_superset[] = "DOP grammar is a superset";
static const char __pyx_k_discodop_coarsetofine_pyx[] = "discodop/coarsetofine.pyx";
static const char __pyx_k_DOP_grammar_is_NOT_a_superset[] = "DOP grammar is NOT a superset!";
static const char __pyx_k_items_in_50_best_of_coarse_char[] = "\nitems in 50-best of coarse chart";
static const char __pyx_k_Select_suitably_probable_items_f[] = "Select suitably probable items from a chart and produce whitelist.";
static const char __pyx_k_coarse_items_before_pruning_d_af[] = "coarse items before pruning: %d; after filter: %d";
static const char __pyx_k_coarse_items_before_pruning_d_fi[] = "coarse items before pruning=%d; filtered: %d; pruned: %d; sentprob=%g";
static const char __pyx_k_expected_posterior_threshold_k_w[] = "expected posterior threshold k with 0 < k < 1.";
static const char __pyx_k_need_to_call_fine_getmapping_coa[] = "need to call fine.getmapping(coarse, ...).";
static const char __pyx_k_sentence_has_zero_posterior_prob[] = "sentence has zero posterior prob.: %g";
static const char __pyx_k_coarse_items_before_pruning_d_af_2[] = "coarse items before pruning: %d; after: %d, based on %d/%d derivations";
static PyObject *__pyx_kp_u_0_9;
static PyObject *__pyx_kp_u_C_O_A_R_S_E;
static PyObject *__pyx_kp_u_DOP_grammar_is_NOT_a_superset;
static PyObject *__pyx_kp_u_DOP_grammar_is_a_superset;
static PyObject *__pyx_kp_u_F_I_N_E;
static PyObject *__pyx_n_s_MemoryError;
static PyObject *__pyx_n_s_NegraCorpusReader;
static PyObject *__pyx_n_s_Tree;
static PyObject *__pyx_n_s_ValueError;
static PyObject *__pyx_n_s__3;
static PyObject *__pyx_kp_u__3;
static PyObject *__pyx_n_s__31;
static PyObject *__pyx_kp_u__5;
static PyObject *__pyx_kp_u__6;
static PyObject *__pyx_kp_u__7;
static PyObject *__pyx_n_s_a;
static PyObject *__pyx_n_s_addbitsets;
static PyObject *__pyx_n_s_addfanoutmarkers;
static PyObject *__pyx_n_s_all;
static PyObject *__pyx_kp_u_alpinosample_export;
static PyObject *__pyx_n_s_begin;
static PyObject *__pyx_n_s_bin;
static PyObject *__pyx_n_s_binarize;
static PyObject *__pyx_n_s_canonicalize;
static PyObject *__pyx_kp_u_cf_split;
static PyObject *__pyx_n_s_cftrees;
static PyObject *__pyx_n_s_chart;
static PyObject *__pyx_n_s_chart2;
static PyObject *__pyx_n_s_childchar;
static PyObject *__pyx_n_s_cline_in_traceback;
static PyObject *__pyx_n_s_clock;
static PyObject *__pyx_n_s_coarse;
static PyObject *__pyx_kp_u_coarse_grammar;
static PyObject *__pyx_kp_u_coarse_items_before_pruning_d_af;
static PyObject *__pyx_kp_u_coarse_items_before_pruning_d_af_2;
static PyObject *__pyx_kp_u_coarse_items_before_pruning_d_fi;
static PyObject *__pyx_n_s_coarsechart;
static PyObject *__pyx_n_s_compile;
static PyObject *__pyx_n_s_copy;
static PyObject *__pyx_n_s_corpus;
static PyObject *__pyx_kp_u_d_d;
static PyObject *__pyx_n_s_derivs;
static PyObject *__pyx_n_s_disambiguation;
static PyObject *__pyx_n_s_discodop_coarsetofine;
static PyObject *__pyx_kp_s_discodop_coarsetofine_pyx;
static PyObject *__pyx_n_s_doctftest;
static PyObject *__pyx_n_s_dopreduction;
static PyObject *__pyx_n_s_dtrees;
static PyObject *__pyx_n_s_edge;
static PyObject *__pyx_n_s_enabled;
static PyObject *__pyx_n_s_end;
static PyObject *__pyx_n_s_enumerate;
static PyObject *__pyx_kp_u_exact_match;
static PyObject *__pyx_n_s_exp;
static PyObject *__pyx_kp_u_expected_posterior_threshold_k_w;
static PyObject *__pyx_n_s_fanout;
static PyObject *__pyx_n_s_filter;
static PyObject *__pyx_n_s_fine;
static PyObject *__pyx_n_s_fine1;
static PyObject *__pyx_n_s_fine999;
static PyObject *__pyx_n_s_fine999x;
static PyObject *__pyx_n_s_finecfg;
static PyObject *__pyx_n_s_fitem;
static PyObject *__pyx_n_s_getderivations;
static PyObject *__pyx_n_s_getinside;
static PyObject *__pyx_n_u_getinside;
static PyObject *__pyx_n_s_getmapping;
static PyObject *__pyx_n_s_getoutside;
static PyObject *__pyx_n_u_getoutside;
static PyObject *__pyx_n_s_grammar;
static PyObject *__pyx_n_s_horzmarkov;
static PyObject *__pyx_n_s_import;
static PyObject *__pyx_n_s_isinf;
static PyObject *__pyx_n_s_item;
static PyObject *__pyx_n_s_itemidx;
static PyObject *__pyx_n_s_items;
static PyObject *__pyx_kp_u_items_in_50_best_of_coarse_char;
static PyObject *__pyx_n_s_k;
static PyObject *__pyx_n_s_kbest;
static PyObject *__pyx_n_s_l;
static PyObject *__pyx_n_s_label;
static PyObject *__pyx_n_s_lazykbest;
static PyObject *__pyx_n_s_leftitem;
static PyObject *__pyx_n_s_leftmostunary;
static PyObject *__pyx_n_s_logprob;
static PyObject *__pyx_n_s_m;
static PyObject *__pyx_n_s_main;
static PyObject *__pyx_n_s_map;
static PyObject *__pyx_n_s_marginalize;
static PyObject *__pyx_n_s_markorigin;
static PyObject *__pyx_n_s_math;
static PyObject *__pyx_n_s_mergediscnodes;
static PyObject *__pyx_n_s_mpp;
static PyObject *__pyx_n_u_mpp;
static PyObject *__pyx_n_s_msg;
static PyObject *__pyx_n_s_n;
static PyObject *__pyx_kp_u_need_to_call_fine_getmapping_coa;
static PyObject *__pyx_kp_u_no_match;
static PyObject *__pyx_kp_u_no_parse;
static PyObject *__pyx_kp_u_no_parse_problem;
static PyObject *__pyx_n_s_normal;
static PyObject *__pyx_n_u_normal;
static PyObject *__pyx_n_s_normallcfrs;
static PyObject *__pyx_n_s_np;
static PyObject *__pyx_n_s_numitems;
static PyObject *__pyx_n_s_numpy;
static PyObject *__pyx_n_s_numremain;
static PyObject *__pyx_n_s_origlogprob;
static PyObject *__pyx_n_s_outsideprob;
static PyObject *__pyx_n_s_p;
static PyObject *__pyx_n_s_parent;
static PyObject *__pyx_n_u_parentannot;
static PyObject *__pyx_n_s_parentchar;
static PyObject *__pyx_n_s_parenttrees;
static PyObject *__pyx_n_s_parse;
static PyObject *__pyx_n_s_plcfrs;
static PyObject *__pyx_n_s_posterior;
static PyObject *__pyx_n_s_posteriorthreshold;
static PyObject *__pyx_n_u_posteriorthreshold;
static PyObject *__pyx_n_s_print;
static PyObject *__pyx_n_s_prob;
static PyObject *__pyx_n_s_prunechart;
static PyObject *__pyx_n_u_prunechart;
static PyObject *__pyx_n_s_pyexp;
static PyObject *__pyx_n_s_pyx_vtable;
static PyObject *__pyx_n_s_range;
static PyObject *__pyx_n_s_rankededges;
static PyObject *__pyx_n_s_re;
static PyObject *__pyx_n_s_removefanoutmarkers;
static PyObject *__pyx_n_s_rightitem;
static PyObject *__pyx_n_s_root;
static PyObject *__pyx_n_s_s;
static PyObject *__pyx_n_u_s;
static PyObject *__pyx_n_s_sent;
static PyObject *__pyx_kp_u_sentence_has_zero_posterior_prob;
static PyObject *__pyx_n_s_sentprob;
static PyObject *__pyx_n_s_sents;
static PyObject *__pyx_n_s_sitem;
static PyObject *__pyx_n_s_span;
static PyObject *__pyx_n_s_split;
static PyObject *__pyx_n_s_splitdiscnodes;
static PyObject *__pyx_n_s_splitg;
static PyObject *__pyx_n_s_splitprune;
static PyObject *__pyx_n_s_subsetgrammar;
static PyObject *__pyx_n_s_switch;
static PyObject *__pyx_n_s_t;
static PyObject *__pyx_n_s_tagged_sents;
static PyObject *__pyx_n_s_tags;
static PyObject *__pyx_n_s_tailmarker;
static PyObject *__pyx_n_s_test;
static PyObject *__pyx_n_s_test_2;
static PyObject *__pyx_n_s_testmaxlen;
static PyObject *__pyx_n_s_threshold;
static PyObject *__pyx_n_s_time;
static PyObject *__pyx_kp_u_time_elapsed;
static PyObject *__pyx_n_s_tolabel;
static PyObject *__pyx_n_s_train;
static PyObject *__pyx_n_s_tree;
static PyObject *__pyx_n_s_treebank;
static PyObject *__pyx_n_s_treebankgrammar;
static PyObject *__pyx_n_s_trees;
static PyObject *__pyx_n_s_treetransforms;
static PyObject *__pyx_n_s_unbinarize;
static PyObject *__pyx_n_s_unfiltered;
static PyObject *__pyx_n_s_values;
static PyObject *__pyx_n_s_vec;
static PyObject *__pyx_n_s_verbose;
static PyObject *__pyx_n_s_vertmarkov;
static PyObject *__pyx_kp_u_whitelist;
static PyObject *__pyx_n_s_whitelist_2;
static PyObject *__pyx_n_s_x;
static PyObject *__pyx_n_s_y;
static PyObject *__pyx_n_s_yf;
static PyObject *__pyx_n_s_zip;
static PyObject *__pyx_pf_8discodop_12coarsetofine_prunechart(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_8discodop_10containers_Chart *__pyx_v_coarsechart, struct __pyx_obj_8discodop_10containers_Grammar *__pyx_v_fine, PyObject *__pyx_v_k, int __pyx_v_splitprune, int __pyx_v_markorigin, int __pyx_v_finecfg); /* proto */
static PyObject *__pyx_pf_8discodop_12coarsetofine_2posteriorthreshold(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_8discodop_10containers_Chart *__pyx_v_chart, double __pyx_v_threshold); /* proto */
static PyObject *__pyx_pf_8discodop_12coarsetofine_4getinside(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_8discodop_10containers_Chart *__pyx_v_chart); /* proto */
static PyObject *__pyx_pf_8discodop_12coarsetofine_6getoutside(CYTHON_UNUSED PyObject *__pyx_self, struct __pyx_obj_8discodop_10containers_Chart *__pyx_v_chart); /* proto */
static PyObject *__pyx_pf_8discodop_12coarsetofine_8doctftest(CYTHON_UNUSED PyObject *__pyx_self, PyObject *__pyx_v_coarse, PyObject *__pyx_v_fine, PyObject *__pyx_v_sent, PyObject *__pyx_v_tree, PyObject *__pyx_v_k, PyObject *__pyx_v_split, PyObject *__pyx_v_verbose); /* proto */
static PyObject *__pyx_pf_8discodop_12coarsetofine_10test(CYTHON_UNUSED PyObject *__pyx_self); /* proto */
static int __pyx_pf_7cpython_5array_5array___getbuffer__(arrayobject *__pyx_v_self, Py_buffer *__pyx_v_info, CYTHON_UNUSED int __pyx_v_flags); /* proto */
static void __pyx_pf_7cpython_5array_5array_2__releasebuffer__(CYTHON_UNUSED arrayobject *__pyx_v_self, Py_buffer *__pyx_v_info); /* proto */
static PyObject *__pyx_int_0;
static PyObject *__pyx_int_1;
static PyObject *__pyx_int_2;
static PyObject *__pyx_int_3;
static PyObject *__pyx_int_10;
static PyObject *__pyx_int_460;
static PyObject *__pyx_tuple_;
static PyObject *__pyx_tuple__2;
static PyObject *__pyx_tuple__4;
static PyObject *__pyx_tuple__8;
static PyObject *__pyx_tuple__9;
static PyObject *__pyx_tuple__10;
static PyObject *__pyx_tuple__11;
static PyObject *__pyx_tuple__12;
static PyObject *__pyx_tuple__13;
static PyObject *__pyx_tuple__14;
static PyObject *__pyx_tuple__15;
static PyObject *__pyx_tuple__16;
static PyObject *__pyx_tuple__17;
static PyObject *__pyx_tuple__18;
static PyObject *__pyx_tuple__19;
static PyObject *__pyx_tuple__20;
static PyObject *__pyx_tuple__21;
static PyObject *__pyx_tuple__22;
static PyObject *__pyx_tuple__23;
static PyObject *__pyx_tuple__25;
static PyObject *__pyx_tuple__27;
static PyObject *__pyx_tuple__29;
static PyObject *__pyx_tuple__32;
static PyObject *__pyx_tuple__34;
static PyObject *__pyx_codeobj__24;
static PyObject *__pyx_codeobj__26;
static PyObject *__pyx_codeobj__28;
static PyObject *__pyx_codeobj__30;
static PyObject *__pyx_codeobj__33;
static PyObject *__pyx_codeobj__35;

/* "discodop/coarsetofine.pyx":31
 * 
 * 
 * def prunechart(Chart coarsechart, Grammar fine, k,             # <<<<<<<<<<<<<<
 * 		bint splitprune, bint markorigin, bint finecfg):
 * 	"""Produce a white list of selected chart items.
 */

/* Python wrapper */
static PyObject *__pyx_pw_8discodop_12coarsetofine_1prunechart(PyObject *__pyx_self, PyObject *__pyx_args, PyObject *__pyx_kwds); /*proto*/
static char __pyx_doc_8discodop_12coarsetofine_prunechart[] = "prunechart(Chart coarsechart, Grammar fine, k, bool splitprune, bool markorigin, bool finecfg)\nProduce a white list of selected chart items.\n\n\tThe criterion is that they occur in the `k`-best derivations of ``chart``,\n\tor with posterior probability > `k`. Labels ``X`` in ``coarse.toid`` are\n\tprojected to the labels in the mapping of the fine grammar, e.g., to ``X``\n\tand ``X@n-m`` for a DOP reduction.\n\n\t:param coarsechart: a Chart object produced by the PCFG or PLCFRS parser.\n\t:param fine: the grammar to map labels to after pruning. must have a\n\t\tmapping to the coarse grammar established by ``fine.getmapping()``.\n\t:param k: when ``k >= 1``: number of `k`-best derivations to consider;\n\t\twhen ``k==0``, the chart is not pruned but filtered to contain only\n\t\titems that contribute to a complete derivation;\n\t\twhen ``0 < k < 1``, inside-outside probabilities are computed and items\n\t\twith a posterior probabilities < `k` are pruned.\n\t:param splitprune: coarse stage used a split-PCFG where discontinuous node\n\t\tappear as multiple CFG nodes. Every discontinuous node will result\n\t\tin multiple lookups into whitelist to see whether it should be\n\t\tallowed on the agenda.\n\t:param markorigin: in combination with splitprune, coarse labels include an\n\t\tinteger to distinguish components; e.g., CFG nodes NP*0 and NP*1\n\t\tmap to the discontinuous node NP_2.\n\t:returns: ``(whitelist, msg)``\n\n\tFor LCFRS, the white list is indexed as follows:\n\t\t:whitelisted: ``item in whitelist[label]``, ``item`` is a\n\t\t\tSmallChartItem or FatChartItem depending on sent. len.\n\t\t:blocked: ``item not in whitelist[label]``\n\n\tFor a CFG, indexing is as follows:\n\t\t:whitelisted: ``label in whitelist[span]``,\n\t\t\t``span`` is an integer encoding both begin and end;\n\t\t\tdifferent from a cell because does not include no. of nonterminals.\n\t\t:blocked: ``label not in whitelist[span]``\n\t";
static PyMethodDef __pyx_mdef_8discodop_12coarsetofine_1prunechart = {"prunechart", (PyCFunction)__pyx_pw_8discodop_12coarsetofine_1prunechart, METH_VARARGS|METH_KEYWORDS, __pyx_doc_8discodop_12coarsetofine_prunechart};
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 * 	if (fine.mapping is NULL or (splitprune and markorigin
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 * 		raise ValueError('need to call fine.getmapping(coarse, ...).')             # <<<<<<<<<<<<<<
 * 	# prune coarse chart and collect items
 * 	if 0 < k < 1:  # threshold on posterior probabilities
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 * 	cdef ItemNo itemidx
 * 	if not 0 < threshold < 1:
 * 		raise ValueError('expected posterior threshold k with 0 < k < 1.')             # <<<<<<<<<<<<<<
 * 	if not chart.inside.size():
 * 		origlogprob = chart.grammar.logprob
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 * 	from math import exp as pyexp
 * 	sent, tags = zip(*sent)
 * 	print(' C O A R S E ')             # <<<<<<<<<<<<<<
 * 	chart, _ = plcfrs.parse(sent, coarse, tags=tags)
 * 	if chart:
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 * 			print("exact match" if t == canonicalize(tree) else "no match")
 * 	else:
 * 		print("no parse")             # <<<<<<<<<<<<<<
 * 		return
 * 		# print(chart)
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 * 	if verbose:
 * 		print(msg)
 * 		print("\nitems in 50-best of coarse chart")             # <<<<<<<<<<<<<<
 * 		lazykbest(chart, k, derivs=False)
 * 		for a in chart.rankededges:
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 * 		for a in chart.rankededges:
 * 			print(coarse.tolabel[a.label], bin(a.vec))
 * 		print("\nwhitelist:")             # <<<<<<<<<<<<<<
 * 		for n, x in enumerate(l):
 * 			if isinstance(x, dict):
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 * 				for m, y in enumerate(x):
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 * 	print(' F I N E ')             # <<<<<<<<<<<<<<
 * 	chart2, _ = plcfrs.parse(sent, fine, tags=tags, whitelist=l,
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 * 			print("exact match" if t == canonicalize(tree) else "no match", t)
 * 	else:
 * 		print("no parse. problem.")             # <<<<<<<<<<<<<<
 * 		return
 * 		# if verbose:
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 * 	# test = 40
 * 	# testmaxlen = 999
 * 	corpus = NegraCorpusReader('alpinosample.export')             # <<<<<<<<<<<<<<
 * 	train = 0
 * 	test = 3
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 * 
 * 	dtrees = [t.copy(True) for t in trees]             # <<<<<<<<<<<<<<
 * 	parenttrees = [t.copy(True) for t in trees]
 * 	for t in trees:
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 * 
 * 	dtrees = [t.copy(True) for t in trees]
 * 	parenttrees = [t.copy(True) for t in trees]             # <<<<<<<<<<<<<<
 * 	for t in trees:
 * 		binarize(t, vertmarkov=1, horzmarkov=1)
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 * 		binarize(t, vertmarkov=1, horzmarkov=1)
 * 		addfanoutmarkers(t)
 * 	cftrees = [splitdiscnodes(t.copy(True), markorigin=True) for t in trees]             # <<<<<<<<<<<<<<
 * 	for t in cftrees:
 * 		binarize(t, horzmarkov=2, tailmarker='', leftmostunary=True,
 */
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 * 	sents = list(corpus.tagged_sents().values())[train:train + test]
 * 	if subsetgrammar(normallcfrs, fine999x):
 * 		print("DOP grammar is a superset")             # <<<<<<<<<<<<<<
 * 	else:
 * 		print("DOP grammar is NOT a superset!")
 */
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 * 		print("DOP grammar is a superset")
 * 	else:
 * 		print("DOP grammar is NOT a superset!")             # <<<<<<<<<<<<<<
 * 	for msg, coarse, fine, split, enabled in zip(
 * 			('normal', 'parentannot', 'cf-split'),
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 * 		print("DOP grammar is NOT a superset!")
 * 	for msg, coarse, fine, split, enabled in zip(
 * 			('normal', 'parentannot', 'cf-split'),             # <<<<<<<<<<<<<<
 * 			(normal, parent, splitg),
 * 			(fine999, fine1, fine1),
 */
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 * 			(normal, parent, splitg),
 * 			(fine999, fine1, fine1),
 * 			(False, False, True),             # <<<<<<<<<<<<<<
 * 			(True, False, True)):
 * 		if not enabled:
 */
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 * 			(fine999, fine1, fine1),
 * 			(False, False, True),
 * 			(True, False, True)):             # <<<<<<<<<<<<<<
 * 		if not enabled:
 * 			continue
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 * 			continue
 * 		print("coarse grammar:", msg)
 * 		fine.getmapping(coarse, re.compile('@[-0-9]+$'), None, split, True)             # <<<<<<<<<<<<<<
 * 		begin = clock()
 * 		for n, (sent, tree) in enumerate(zip(sents, trees)):
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 * 
 * def prunechart(Chart coarsechart, Grammar fine, k,             # <<<<<<<<<<<<<<
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 * 
 * 
 * def posteriorthreshold(Chart chart, double threshold):             # <<<<<<<<<<<<<<
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 * 
 */
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 * 
 * 
 * def getinside(Chart chart):             # <<<<<<<<<<<<<<
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 */
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 * 
 * 
 * def getoutside(Chart chart):             # <<<<<<<<<<<<<<
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 * 
 * 
 * def doctftest(coarse, fine, sent, tree, k, split, verbose=False):             # <<<<<<<<<<<<<<
 * 	"""Test coarse-to-fine methods on a sentence."""
 * 	from . import plcfrs
 */
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 * 
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                int is_subclass = PyObject_IsSubclass(instance_class, type);
                if (!is_subclass) {
                    instance_class = NULL;
                } else if (unlikely(is_subclass == -1)) {
                    goto bad;
                } else {
                    type = instance_class;
                }
            }
        }
        if (!instance_class) {
            PyObject *args;
            if (!value)
                args = PyTuple_New(0);
            else if (PyTuple_Check(value)) {
                Py_INCREF(value);
                args = value;
            } else
                args = PyTuple_Pack(1, value);
            if (!args)
                goto bad;
            owned_instance = PyObject_Call(type, args, NULL);
            Py_DECREF(args);
            if (!owned_instance)
                goto bad;
            value = owned_instance;
            if (!PyExceptionInstance_Check(value)) {
                PyErr_Format(PyExc_TypeError,
                             "calling %R should have returned an instance of "
                             "BaseException, not %R",
                             type, Py_TYPE(value));
                goto bad;
            }
        }
    } else {
        PyErr_SetString(PyExc_TypeError,
            "raise: exception class must be a subclass of BaseException");
        goto bad;
    }
#if PY_VERSION_HEX >= 0x03030000
    if (cause) {
#else
    if (cause && cause != Py_None) {
#endif
        PyObject *fixed_cause;
        if (cause == Py_None) {
            fixed_cause = NULL;
        } else if (PyExceptionClass_Check(cause)) {
            fixed_cause = PyObject_CallObject(cause, NULL);
            if (fixed_cause == NULL)
                goto bad;
        } else if (PyExceptionInstance_Check(cause)) {
            fixed_cause = cause;
            Py_INCREF(fixed_cause);
        } else {
            PyErr_SetString(PyExc_TypeError,
                            "exception causes must derive from "
                            "BaseException");
            goto bad;
        }
        PyException_SetCause(value, fixed_cause);
    }
    PyErr_SetObject(type, value);
    if (tb) {
#if CYTHON_COMPILING_IN_PYPY
        PyObject *tmp_type, *tmp_value, *tmp_tb;
        PyErr_Fetch(&tmp_type, &tmp_value, &tmp_tb);
        Py_INCREF(tb);
        PyErr_Restore(tmp_type, tmp_value, tb);
        Py_XDECREF(tmp_tb);
#else
        PyThreadState *tstate = PyThreadState_GET();
        PyObject* tmp_tb = tstate->curexc_traceback;
        if (tb != tmp_tb) {
            Py_INCREF(tb);
            tstate->curexc_traceback = tb;
            Py_XDECREF(tmp_tb);
        }
#endif
    }
bad:
    Py_XDECREF(owned_instance);
    return;
}
#endif

/* GetModuleGlobalName */
  static CYTHON_INLINE PyObject *__Pyx_GetModuleGlobalName(PyObject *name) {
    PyObject *result;
#if !CYTHON_AVOID_BORROWED_REFS
    result = PyDict_GetItem(__pyx_d, name);
    if (likely(result)) {
        Py_INCREF(result);
    } else {
#else
    result = PyObject_GetItem(__pyx_d, name);
    if (!result) {
        PyErr_Clear();
#endif
        result = __Pyx_GetBuiltinName(name);
    }
    return result;
}

/* PyFunctionFastCall */
    #if CYTHON_FAST_PYCALL
#include "frameobject.h"
static PyObject* __Pyx_PyFunction_FastCallNoKw(PyCodeObject *co, PyObject **args, Py_ssize_t na,
                                               PyObject *globals) {
    PyFrameObject *f;
    PyThreadState *tstate = PyThreadState_GET();
    PyObject **fastlocals;
    Py_ssize_t i;
    PyObject *result;
    assert(globals != NULL);
    /* XXX Perhaps we should create a specialized
       PyFrame_New() that doesn't take locals, but does
       take builtins without sanity checking them.
       */
    assert(tstate != NULL);
    f = PyFrame_New(tstate, co, globals, NULL);
    if (f == NULL) {
        return NULL;
    }
    fastlocals = f->f_localsplus;
    for (i = 0; i < na; i++) {
        Py_INCREF(*args);
        fastlocals[i] = *args++;
    }
    result = PyEval_EvalFrameEx(f,0);
    ++tstate->recursion_depth;
    Py_DECREF(f);
    --tstate->recursion_depth;
    return result;
}
#if 1 || PY_VERSION_HEX < 0x030600B1
static PyObject *__Pyx_PyFunction_FastCallDict(PyObject *func, PyObject **args, int nargs, PyObject *kwargs) {
    PyCodeObject *co = (PyCodeObject *)PyFunction_GET_CODE(func);
    PyObject *globals = PyFunction_GET_GLOBALS(func);
    PyObject *argdefs = PyFunction_GET_DEFAULTS(func);
    PyObject *closure;
#if PY_MAJOR_VERSION >= 3
    PyObject *kwdefs;
#endif
    PyObject *kwtuple, **k;
    PyObject **d;
    Py_ssize_t nd;
    Py_ssize_t nk;
    PyObject *result;
    assert(kwargs == NULL || PyDict_Check(kwargs));
    nk = kwargs ? PyDict_Size(kwargs) : 0;
    if (Py_EnterRecursiveCall((char*)" while calling a Python object")) {
        return NULL;
    }
    if (
#if PY_MAJOR_VERSION >= 3
            co->co_kwonlyargcount == 0 &&
#endif
            likely(kwargs == NULL || nk == 0) &&
            co->co_flags == (CO_OPTIMIZED | CO_NEWLOCALS | CO_NOFREE)) {
        if (argdefs == NULL && co->co_argcount == nargs) {
            result = __Pyx_PyFunction_FastCallNoKw(co, args, nargs, globals);
            goto done;
        }
        else if (nargs == 0 && argdefs != NULL
                 && co->co_argcount == Py_SIZE(argdefs)) {
            /* function called with no arguments, but all parameters have
               a default value: use default values as arguments .*/
            args = &PyTuple_GET_ITEM(argdefs, 0);
            result =__Pyx_PyFunction_FastCallNoKw(co, args, Py_SIZE(argdefs), globals);
            goto done;
        }
    }
    if (kwargs != NULL) {
        Py_ssize_t pos, i;
        kwtuple = PyTuple_New(2 * nk);
        if (kwtuple == NULL) {
            result = NULL;
            goto done;
        }
        k = &PyTuple_GET_ITEM(kwtuple, 0);
        pos = i = 0;
        while (PyDict_Next(kwargs, &pos, &k[i], &k[i+1])) {
            Py_INCREF(k[i]);
            Py_INCREF(k[i+1]);
            i += 2;
        }
        nk = i / 2;
    }
    else {
        kwtuple = NULL;
        k = NULL;
    }
    closure = PyFunction_GET_CLOSURE(func);
#if PY_MAJOR_VERSION >= 3
    kwdefs = PyFunction_GET_KW_DEFAULTS(func);
#endif
    if (argdefs != NULL) {
        d = &PyTuple_GET_ITEM(argdefs, 0);
        nd = Py_SIZE(argdefs);
    }
    else {
        d = NULL;
        nd = 0;
    }
#if PY_MAJOR_VERSION >= 3
    result = PyEval_EvalCodeEx((PyObject*)co, globals, (PyObject *)NULL,
                               args, nargs,
                               k, (int)nk,
                               d, (int)nd, kwdefs, closure);
#else
    result = PyEval_EvalCodeEx(co, globals, (PyObject *)NULL,
                               args, nargs,
                               k, (int)nk,
                               d, (int)nd, closure);
#endif
    Py_XDECREF(kwtuple);
done:
    Py_LeaveRecursiveCall();
    return result;
}
#endif
#endif

/* PyCFunctionFastCall */
    #if CYTHON_FAST_PYCCALL
static CYTHON_INLINE PyObject * __Pyx_PyCFunction_FastCall(PyObject *func_obj, PyObject **args, Py_ssize_t nargs) {
    PyCFunctionObject *func = (PyCFunctionObject*)func_obj;
    PyCFunction meth = PyCFunction_GET_FUNCTION(func);
    PyObject *self = PyCFunction_GET_SELF(func);
    int flags = PyCFunction_GET_FLAGS(func);
    assert(PyCFunction_Check(func));
    assert(METH_FASTCALL == (flags & ~(METH_CLASS | METH_STATIC | METH_COEXIST | METH_KEYWORDS)));
    assert(nargs >= 0);
    assert(nargs == 0 || args != NULL);
    /* _PyCFunction_FastCallDict() must not be called with an exception set,
       because it may clear it (directly or indirectly) and so the
       caller loses its exception */
    assert(!PyErr_Occurred());
    if ((PY_VERSION_HEX < 0x030700A0) || unlikely(flags & METH_KEYWORDS)) {
        return (*((__Pyx_PyCFunctionFastWithKeywords)meth)) (self, args, nargs, NULL);
    } else {
        return (*((__Pyx_PyCFunctionFast)meth)) (self, args, nargs);
    }
}
#endif

/* 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 = PyThreadState_GET();
    PyObject* exc_type = tstate->curexc_type;
    if (unlikely(exc_type)) {
        if (likely(exc_type == PyExc_StopIteration) || 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;
}

/* PyIntBinop */
    #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_EqObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    if (op1 == op2) {
        Py_RETURN_TRUE;
    }
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long a = PyInt_AS_LONG(op1);
        if (a == b) {
            Py_RETURN_TRUE;
        } else {
            Py_RETURN_FALSE;
        }
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a;
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
                    }
                #if PyLong_SHIFT < 30 && PyLong_SHIFT != 15
                default: return PyLong_Type.tp_richcompare(op1, op2, Py_EQ);
                #else
                default: Py_RETURN_FALSE;
                #endif
            }
        }
            if (a == b) {
                Py_RETURN_TRUE;
            } else {
                Py_RETURN_FALSE;
            }
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            if ((double)a == (double)b) {
                Py_RETURN_TRUE;
            } else {
                Py_RETURN_FALSE;
            }
    }
    return PyObject_RichCompare(op1, op2, Py_EQ);
}
#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) || PyObject_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

/* PyIntBinop */
      #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_SubtractObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a - b);
            if (likely((x^a) >= 0 || (x^~b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                default: return PyLong_Type.tp_as_number->nb_subtract(op1, op2);
            }
        }
                x = a - b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla - llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("subtract", return NULL)
            result = ((double)a) - (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceSubtract : PyNumber_Subtract)(op1, op2);
}
#endif

/* Import */
      static PyObject *__Pyx_Import(PyObject *name, PyObject *from_list, int level) {
    PyObject *empty_list = 0;
    PyObject *module = 0;
    PyObject *global_dict = 0;
    PyObject *empty_dict = 0;
    PyObject *list;
    #if PY_VERSION_HEX < 0x03030000
    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, '.')) {
                #if PY_VERSION_HEX < 0x03030000
                PyObject *py_level = PyInt_FromLong(1);
                if (!py_level)
                    goto bad;
                module = PyObject_CallFunctionObjArgs(py_import,
                    name, global_dict, empty_dict, list, py_level, NULL);
                Py_DECREF(py_level);
                #else
                module = PyImport_ImportModuleLevelObject(
                    name, global_dict, empty_dict, list, 1);
                #endif
                if (!module) {
                    if (!PyErr_ExceptionMatches(PyExc_ImportError))
                        goto bad;
                    PyErr_Clear();
                }
            }
            level = 0;
        }
        #endif
        if (!module) {
            #if PY_VERSION_HEX < 0x03030000
            PyObject *py_level = PyInt_FromLong(level);
            if (!py_level)
                goto bad;
            module = PyObject_CallFunctionObjArgs(py_import,
                name, global_dict, empty_dict, list, py_level, NULL);
            Py_DECREF(py_level);
            #else
            module = PyImport_ImportModuleLevelObject(
                name, global_dict, empty_dict, list, level);
            #endif
        }
    }
bad:
    #if PY_VERSION_HEX < 0x03030000
    Py_XDECREF(py_import);
    #endif
    Py_XDECREF(empty_list);
    Py_XDECREF(empty_dict);
    return module;
}

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

/* PyIntBinop */
      #if !CYTHON_COMPILING_IN_PYPY
static PyObject* __Pyx_PyInt_AddObjC(PyObject *op1, PyObject *op2, CYTHON_UNUSED long intval, CYTHON_UNUSED int inplace) {
    #if PY_MAJOR_VERSION < 3
    if (likely(PyInt_CheckExact(op1))) {
        const long b = intval;
        long x;
        long a = PyInt_AS_LONG(op1);
            x = (long)((unsigned long)a + b);
            if (likely((x^a) >= 0 || (x^b) >= 0))
                return PyInt_FromLong(x);
            return PyLong_Type.tp_as_number->nb_add(op1, op2);
    }
    #endif
    #if CYTHON_USE_PYLONG_INTERNALS
    if (likely(PyLong_CheckExact(op1))) {
        const long b = intval;
        long a, x;
#ifdef HAVE_LONG_LONG
        const PY_LONG_LONG llb = intval;
        PY_LONG_LONG lla, llx;
#endif
        const digit* digits = ((PyLongObject*)op1)->ob_digit;
        const Py_ssize_t size = Py_SIZE(op1);
        if (likely(__Pyx_sst_abs(size) <= 1)) {
            a = likely(size) ? digits[0] : 0;
            if (size == -1) a = -a;
        } else {
            switch (size) {
                case -2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case 2:
                    if (8 * sizeof(long) - 1 > 2 * PyLong_SHIFT) {
                        a = (long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 2 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case -3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case 3:
                    if (8 * sizeof(long) - 1 > 3 * PyLong_SHIFT) {
                        a = (long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 3 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case -4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = -(long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = -(PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                case 4:
                    if (8 * sizeof(long) - 1 > 4 * PyLong_SHIFT) {
                        a = (long) (((((((((unsigned long)digits[3]) << PyLong_SHIFT) | (unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0]));
                        break;
#ifdef HAVE_LONG_LONG
                    } else if (8 * sizeof(PY_LONG_LONG) - 1 > 4 * PyLong_SHIFT) {
                        lla = (PY_LONG_LONG) (((((((((unsigned PY_LONG_LONG)digits[3]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[2]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[1]) << PyLong_SHIFT) | (unsigned PY_LONG_LONG)digits[0]));
                        goto long_long;
#endif
                    }
                default: return PyLong_Type.tp_as_number->nb_add(op1, op2);
            }
        }
                x = a + b;
            return PyLong_FromLong(x);
#ifdef HAVE_LONG_LONG
        long_long:
                llx = lla + llb;
            return PyLong_FromLongLong(llx);
#endif
        
        
    }
    #endif
    if (PyFloat_CheckExact(op1)) {
        const long b = intval;
        double a = PyFloat_AS_DOUBLE(op1);
            double result;
            PyFPE_START_PROTECT("add", return NULL)
            result = ((double)a) + (double)b;
            PyFPE_END_PROTECT(result)
            return PyFloat_FromDouble(result);
    }
    return (inplace ? PyNumber_InPlaceAdd : PyNumber_Add)(op1, op2);
}
#endif

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

/* SliceTupleAndList */
      #if CYTHON_COMPILING_IN_CPYTHON
static CYTHON_INLINE void __Pyx_crop_slice(Py_ssize_t* _start, Py_ssize_t* _stop, Py_ssize_t* _length) {
    Py_ssize_t start = *_start, stop = *_stop, length = *_length;
    if (start < 0) {
        start += length;
        if (start < 0)
            start = 0;
    }
    if (stop < 0)
        stop += length;
    else if (stop > length)
        stop = length;
    *_length = stop - start;
    *_start = start;
    *_stop = stop;
}
static CYTHON_INLINE void __Pyx_copy_object_array(PyObject** CYTHON_RESTRICT src, PyObject** CYTHON_RESTRICT dest, Py_ssize_t length) {
    PyObject *v;
    Py_ssize_t i;
    for (i = 0; i < length; i++) {
        v = dest[i] = src[i];
        Py_INCREF(v);
    }
}
static CYTHON_INLINE PyObject* __Pyx_PyList_GetSlice(
            PyObject* src, Py_ssize_t start, Py_ssize_t stop) {
    PyObject* dest;
    Py_ssize_t length = PyList_GET_SIZE(src);
    __Pyx_crop_slice(&start, &stop, &length);
    if (unlikely(length <= 0))
        return PyList_New(0);
    dest = PyList_New(length);
    if (unlikely(!dest))
        return NULL;
    __Pyx_copy_object_array(
        ((PyListObject*)src)->ob_item + start,
        ((PyListObject*)dest)->ob_item,
        length);
    return dest;
}
static CYTHON_INLINE PyObject* __Pyx_PyTuple_GetSlice(
            PyObject* src, Py_ssize_t start, Py_ssize_t stop) {
    PyObject* dest;
    Py_ssize_t length = PyTuple_GET_SIZE(src);
    __Pyx_crop_slice(&start, &stop, &length);
    if (unlikely(length <= 0))
        return PyTuple_New(0);
    dest = PyTuple_New(length);
    if (unlikely(!dest))
        return NULL;
    __Pyx_copy_object_array(
        ((PyTupleObject*)src)->ob_item + start,
        ((PyTupleObject*)dest)->ob_item,
        length);
    return dest;
}
#endif

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

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

/* CLineInTraceback */
      static int __Pyx_CLineForTraceback(int c_line) {
#ifdef CYTHON_CLINE_IN_TRACEBACK
    return ((CYTHON_CLINE_IN_TRACEBACK)) ? c_line : 0;
#else
    PyObject **cython_runtime_dict;
    PyObject *use_cline;
    cython_runtime_dict = _PyObject_GetDictPtr(__pyx_cython_runtime);
    if (unlikely(!cython_runtime_dict)) {
      PyObject *ptype, *pvalue, *ptraceback;
      PyObject *use_cline_obj;
      PyErr_Fetch(&ptype, &pvalue, &ptraceback);
      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 {
        use_cline = NULL;
      }
      PyErr_Restore(ptype, pvalue, ptraceback);
    } else {
      use_cline = PyDict_GetItem(*_PyObject_GetDictPtr(__pyx_cython_runtime), __pyx_n_s_cline_in_traceback);
    }
    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;
    }
    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;
    if (c_line) {
        c_line = __Pyx_CLineForTraceback(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(
        PyThreadState_GET(), /*PyThreadState *tstate,*/
        py_code,             /*PyCodeObject *code,*/
        __pyx_d,      /*PyObject *globals,*/
        0                    /*PyObject *locals*/
    );
    if (!py_frame) goto bad;
    __Pyx_PyFrame_SetLineNumber(py_frame, py_line);
    PyTraceBack_Here(py_frame);
bad:
    Py_XDECREF(py_code);
    Py_XDECREF(py_frame);
}

/* 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_uint32_t(uint32_t value) {
    const uint32_t neg_one = (uint32_t) -1, const_zero = (uint32_t) 0;
    const int is_unsigned = neg_one > const_zero;
    if (is_unsigned) {
        if (sizeof(uint32_t) < sizeof(long)) {
            return PyInt_FromLong((long) value);
        } else if (sizeof(uint32_t) <= sizeof(unsigned long)) {
            return PyLong_FromUnsignedLong((unsigned long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(uint32_t) <= sizeof(unsigned PY_LONG_LONG)) {
            return PyLong_FromUnsignedLongLong((unsigned PY_LONG_LONG) value);
#endif
        }
    } else {
        if (sizeof(uint32_t) <= sizeof(long)) {
            return PyInt_FromLong((long) value);
#ifdef HAVE_LONG_LONG
        } else if (sizeof(uint32_t) <= 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(uint32_t),
                                     little, !is_unsigned);
    }
}

/* 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);
    }
}

/* CIntFromPy */
      static CYTHON_INLINE uint32_t __Pyx_PyInt_As_uint32_t(PyObject *x) {
    const uint32_t neg_one = (uint32_t) -1, const_zero = (uint32_t) 0;
    const int is_unsigned = neg_one > const_zero;
#if PY_MAJOR_VERSION < 3
    if (likely(PyInt_Check(x))) {
        if (sizeof(uint32_t) < sizeof(long)) {
            __PYX_VERIFY_RETURN_INT(uint32_t, long, PyInt_AS_LONG(x))
        } else {
            long val = PyInt_AS_LONG(x);
            if (is_unsigned && unlikely(val < 0)) {
                goto raise_neg_overflow;
            }
            return (uint32_t) 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 (uint32_t) 0;
                case  1: __PYX_VERIFY_RETURN_INT(uint32_t, digit, digits[0])
                case 2:
                    if (8 * sizeof(uint32_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(uint32_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(uint32_t) >= 2 * PyLong_SHIFT) {
                            return (uint32_t) (((((uint32_t)digits[1]) << PyLong_SHIFT) | (uint32_t)digits[0]));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(uint32_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(uint32_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(uint32_t) >= 3 * PyLong_SHIFT) {
                            return (uint32_t) (((((((uint32_t)digits[2]) << PyLong_SHIFT) | (uint32_t)digits[1]) << PyLong_SHIFT) | (uint32_t)digits[0]));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(uint32_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(uint32_t, 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(uint32_t) >= 4 * PyLong_SHIFT) {
                            return (uint32_t) (((((((((uint32_t)digits[3]) << PyLong_SHIFT) | (uint32_t)digits[2]) << PyLong_SHIFT) | (uint32_t)digits[1]) << PyLong_SHIFT) | (uint32_t)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 (uint32_t) -1;
                if (unlikely(result == 1))
                    goto raise_neg_overflow;
            }
#endif
            if (sizeof(uint32_t) <= sizeof(unsigned long)) {
                __PYX_VERIFY_RETURN_INT_EXC(uint32_t, unsigned long, PyLong_AsUnsignedLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(uint32_t) <= sizeof(unsigned PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(uint32_t, 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 (uint32_t) 0;
                case -1: __PYX_VERIFY_RETURN_INT(uint32_t, sdigit, (sdigit) (-(sdigit)digits[0]))
                case  1: __PYX_VERIFY_RETURN_INT(uint32_t,  digit, +digits[0])
                case -2:
                    if (8 * sizeof(uint32_t) - 1 > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(uint32_t, long, -(long) (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(uint32_t) - 1 > 2 * PyLong_SHIFT) {
                            return (uint32_t) (((uint32_t)-1)*(((((uint32_t)digits[1]) << PyLong_SHIFT) | (uint32_t)digits[0])));
                        }
                    }
                    break;
                case 2:
                    if (8 * sizeof(uint32_t) > 1 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 2 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(uint32_t, unsigned long, (((((unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(uint32_t) - 1 > 2 * PyLong_SHIFT) {
                            return (uint32_t) ((((((uint32_t)digits[1]) << PyLong_SHIFT) | (uint32_t)digits[0])));
                        }
                    }
                    break;
                case -3:
                    if (8 * sizeof(uint32_t) - 1 > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(uint32_t, long, -(long) (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(uint32_t) - 1 > 3 * PyLong_SHIFT) {
                            return (uint32_t) (((uint32_t)-1)*(((((((uint32_t)digits[2]) << PyLong_SHIFT) | (uint32_t)digits[1]) << PyLong_SHIFT) | (uint32_t)digits[0])));
                        }
                    }
                    break;
                case 3:
                    if (8 * sizeof(uint32_t) > 2 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 3 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(uint32_t, unsigned long, (((((((unsigned long)digits[2]) << PyLong_SHIFT) | (unsigned long)digits[1]) << PyLong_SHIFT) | (unsigned long)digits[0])))
                        } else if (8 * sizeof(uint32_t) - 1 > 3 * PyLong_SHIFT) {
                            return (uint32_t) ((((((((uint32_t)digits[2]) << PyLong_SHIFT) | (uint32_t)digits[1]) << PyLong_SHIFT) | (uint32_t)digits[0])));
                        }
                    }
                    break;
                case -4:
                    if (8 * sizeof(uint32_t) - 1 > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(uint32_t, 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(uint32_t) - 1 > 4 * PyLong_SHIFT) {
                            return (uint32_t) (((uint32_t)-1)*(((((((((uint32_t)digits[3]) << PyLong_SHIFT) | (uint32_t)digits[2]) << PyLong_SHIFT) | (uint32_t)digits[1]) << PyLong_SHIFT) | (uint32_t)digits[0])));
                        }
                    }
                    break;
                case 4:
                    if (8 * sizeof(uint32_t) > 3 * PyLong_SHIFT) {
                        if (8 * sizeof(unsigned long) > 4 * PyLong_SHIFT) {
                            __PYX_VERIFY_RETURN_INT(uint32_t, 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(uint32_t) - 1 > 4 * PyLong_SHIFT) {
                            return (uint32_t) ((((((((((uint32_t)digits[3]) << PyLong_SHIFT) | (uint32_t)digits[2]) << PyLong_SHIFT) | (uint32_t)digits[1]) << PyLong_SHIFT) | (uint32_t)digits[0])));
                        }
                    }
                    break;
            }
#endif
            if (sizeof(uint32_t) <= sizeof(long)) {
                __PYX_VERIFY_RETURN_INT_EXC(uint32_t, long, PyLong_AsLong(x))
#ifdef HAVE_LONG_LONG
            } else if (sizeof(uint32_t) <= sizeof(PY_LONG_LONG)) {
                __PYX_VERIFY_RETURN_INT_EXC(uint32_t, 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
            uint32_t 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 (uint32_t) -1;
        }
    } else {
        uint32_t val;
        PyObject *tmp = __Pyx_PyNumber_IntOrLong(x);
        if (!tmp) return (uint32_t) -1;
        val = __Pyx_PyInt_As_uint32_t(tmp);
        Py_DECREF(tmp);
        return val;
    }
raise_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "value too large to convert to uint32_t");
    return (uint32_t) -1;
raise_neg_overflow:
    PyErr_SetString(PyExc_OverflowError,
        "can't convert negative value to uint32_t");
    return (uint32_t) -1;
}

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

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

/* 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;
}

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

/* ModuleImport */
      #ifndef __PYX_HAVE_RT_ImportModule
#define __PYX_HAVE_RT_ImportModule
static PyObject *__Pyx_ImportModule(const char *name) {
    PyObject *py_name = 0;
    PyObject *py_module = 0;
    py_name = __Pyx_PyIdentifier_FromString(name);
    if (!py_name)
        goto bad;
    py_module = PyImport_Import(py_name);
    Py_DECREF(py_name);
    return py_module;
bad:
    Py_XDECREF(py_name);
    return 0;
}
#endif

/* TypeImport */
      #ifndef __PYX_HAVE_RT_ImportType
#define __PYX_HAVE_RT_ImportType
static PyTypeObject *__Pyx_ImportType(const char *module_name, const char *class_name,
    size_t size, int strict)
{
    PyObject *py_module = 0;
    PyObject *result = 0;
    PyObject *py_name = 0;
    char warning[200];
    Py_ssize_t basicsize;
#ifdef Py_LIMITED_API
    PyObject *py_basicsize;
#endif
    py_module = __Pyx_ImportModule(module_name);
    if (!py_module)
        goto bad;
    py_name = __Pyx_PyIdentifier_FromString(class_name);
    if (!py_name)
        goto bad;
    result = PyObject_GetAttr(py_module, py_name);
    Py_DECREF(py_name);
    py_name = 0;
    Py_DECREF(py_module);
    py_module = 0;
    if (!result)
        goto bad;
    if (!PyType_Check(result)) {
        PyErr_Format(PyExc_TypeError,
            "%.200s.%.200s is not a type object",
            module_name, class_name);
        goto bad;
    }
#ifndef Py_LIMITED_API
    basicsize = ((PyTypeObject *)result)->tp_basicsize;
#else
    py_basicsize = PyObject_GetAttrString(result, "__basicsize__");
    if (!py_basicsize)
        goto bad;
    basicsize = PyLong_AsSsize_t(py_basicsize);
    Py_DECREF(py_basicsize);
    py_basicsize = 0;
    if (basicsize == (Py_ssize_t)-1 && PyErr_Occurred())
        goto bad;
#endif
    if (!strict && (size_t)basicsize > size) {
        PyOS_snprintf(warning, sizeof(warning),
            "%s.%s size changed, may indicate binary incompatibility. Expected %zd, got %zd",
            module_name, class_name, basicsize, size);
        if (PyErr_WarnEx(NULL, warning, 0) < 0) goto bad;
    }
    else if ((size_t)basicsize != size) {
        PyErr_Format(PyExc_ValueError,
            "%.200s.%.200s has the wrong size, try recompiling. Expected %zd, got %zd",
            module_name, class_name, basicsize, size);
        goto bad;
    }
    return (PyTypeObject *)result;
bad:
    Py_XDECREF(py_module);
    Py_XDECREF(result);
    return NULL;
}
#endif

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

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

/* InitStrings */
      static int __Pyx_InitStrings(__Pyx_StringTabEntry *t) {
    while (t->p) {
        #if PY_MAJOR_VERSION < 3
        if (t->is_unicode) {
            *t->p = PyUnicode_DecodeUTF8(t->s, t->n - 1, NULL);
        } else if (t->intern) {
            *t->p = PyString_InternFromString(t->s);
        } else {
            *t->p = PyString_FromStringAndSize(t->s, t->n - 1);
        }
        #else
        if (t->is_unicode | t->is_str) {
            if (t->intern) {
                *t->p = PyUnicode_InternFromString(t->s);
            } else if (t->encoding) {
                *t->p = PyUnicode_Decode(t->s, t->n - 1, t->encoding, NULL);
            } else {
                *t->p = PyUnicode_FromStringAndSize(t->s, t->n - 1);
            }
        } else {
            *t->p = PyBytes_FromStringAndSize(t->s, t->n - 1);
        }
        #endif
        if (!*t->p)
            return -1;
        if (PyObject_Hash(*t->p) == -1)
            PyErr_Clear();
        ++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);
}
static CYTHON_INLINE const char* __Pyx_PyObject_AsStringAndSize(PyObject* o, Py_ssize_t *length) {
#if CYTHON_COMPILING_IN_CPYTHON && (__PYX_DEFAULT_STRING_ENCODING_IS_ASCII || __PYX_DEFAULT_STRING_ENCODING_IS_DEFAULT)
    if (
#if PY_MAJOR_VERSION < 3 && __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
            __Pyx_sys_getdefaultencoding_not_ascii &&
#endif
            PyUnicode_Check(o)) {
#if PY_VERSION_HEX < 0x03030000
        char* defenc_c;
        PyObject* defenc = _PyUnicode_AsDefaultEncodedString(o, NULL);
        if (!defenc) return NULL;
        defenc_c = PyBytes_AS_STRING(defenc);
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        {
            char* end = defenc_c + PyBytes_GET_SIZE(defenc);
            char* c;
            for (c = defenc_c; c < end; c++) {
                if ((unsigned char) (*c) >= 128) {
                    PyUnicode_AsASCIIString(o);
                    return NULL;
                }
            }
        }
#endif
        *length = PyBytes_GET_SIZE(defenc);
        return defenc_c;
#else
        if (__Pyx_PyUnicode_READY(o) == -1) return NULL;
#if __PYX_DEFAULT_STRING_ENCODING_IS_ASCII
        if (PyUnicode_IS_ASCII(o)) {
            *length = PyUnicode_GET_LENGTH(o);
            return PyUnicode_AsUTF8(o);
        } else {
            PyUnicode_AsASCIIString(o);
            return NULL;
        }
#else
        return PyUnicode_AsUTF8AndSize(o, length);
#endif
#endif
    } else
#endif
#if (!CYTHON_COMPILING_IN_PYPY) || (defined(PyByteArray_AS_STRING) && defined(PyByteArray_GET_SIZE))
    if (PyByteArray_Check(o)) {
        *length = PyByteArray_GET_SIZE(o);
        return PyByteArray_AS_STRING(o);
    } else
#endif
    {
        char* result;
        int r = PyBytes_AsStringAndSize(o, &result, length);
        if (unlikely(r < 0)) {
            return NULL;
        } else {
            return result;
        }
    }
}
static CYTHON_INLINE int __Pyx_PyObject_IsTrue(PyObject* x) {
   int is_true = x == Py_True;
   if (is_true | (x == Py_False) | (x == Py_None)) return is_true;
   else return PyObject_IsTrue(x);
}
static CYTHON_INLINE PyObject* __Pyx_PyNumber_IntOrLong(PyObject* x) {
#if CYTHON_USE_TYPE_SLOTS
  PyNumberMethods *m;
#endif
  const char *name = NULL;
  PyObject *res = NULL;
#if PY_MAJOR_VERSION < 3
  if (PyInt_Check(x) || PyLong_Check(x))
#else
  if (PyLong_Check(x))
#endif
    return __Pyx_NewRef(x);
#if CYTHON_USE_TYPE_SLOTS
  m = Py_TYPE(x)->tp_as_number;
  #if PY_MAJOR_VERSION < 3
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Int(x);
  }
  else if (m && m->nb_long) {
    name = "long";
    res = PyNumber_Long(x);
  }
  #else
  if (m && m->nb_int) {
    name = "int";
    res = PyNumber_Long(x);
  }
  #endif
#else
  res = PyNumber_Int(x);
#endif
  if (res) {
#if PY_MAJOR_VERSION < 3
    if (!PyInt_Check(res) && !PyLong_Check(res)) {
#else
    if (!PyLong_Check(res)) {
#endif
      PyErr_Format(PyExc_TypeError,
                   "__%.4s__ returned non-%.4s (type %.200s)",
                   name, name, Py_TYPE(res)->tp_name);
      Py_DECREF(res);
      return NULL;
    }
  }
  else if (!PyErr_Occurred()) {
    PyErr_SetString(PyExc_TypeError,
                    "an integer is required");
  }
  return res;
}
static CYTHON_INLINE Py_ssize_t __Pyx_PyIndex_AsSsize_t(PyObject* b) {
  Py_ssize_t ival;
  PyObject *x;
#if PY_MAJOR_VERSION < 3
  if (likely(PyInt_CheckExact(b))) {
    if (sizeof(Py_ssize_t) >= sizeof(long))
        return PyInt_AS_LONG(b);
    else
        return PyInt_AsSsize_t(x);
  }
#endif
  if (likely(PyLong_CheckExact(b))) {
    #if CYTHON_USE_PYLONG_INTERNALS
    const digit* digits = ((PyLongObject*)b)->ob_digit;
    const Py_ssize_t size = Py_SIZE(b);
    if (likely(__Pyx_sst_abs(size) <= 1)) {
        ival = likely(size) ? digits[0] : 0;
        if (size == -1) ival = -ival;
        return ival;
    } else {
      switch (size) {
         case 2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -2:
           if (8 * sizeof(Py_ssize_t) > 2 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -3:
           if (8 * sizeof(Py_ssize_t) > 3 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case 4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return (Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
         case -4:
           if (8 * sizeof(Py_ssize_t) > 4 * PyLong_SHIFT) {
             return -(Py_ssize_t) (((((((((size_t)digits[3]) << PyLong_SHIFT) | (size_t)digits[2]) << PyLong_SHIFT) | (size_t)digits[1]) << PyLong_SHIFT) | (size_t)digits[0]));
           }
           break;
      }
    }
    #endif
    return PyLong_AsSsize_t(b);
  }
  x = PyNumber_Index(b);
  if (!x) return -1;
  ival = PyInt_AsSsize_t(x);
  Py_DECREF(x);
  return ival;
}
static CYTHON_INLINE PyObject * __Pyx_PyInt_FromSize_t(size_t ival) {
    return PyInt_FromSize_t(ival);
}


#endif /* Py_PYTHON_H */
