Generated by Cython 0.23.5
Yellow lines hint at Python interaction.
Click on a line that starts with a "+" to see the C code that Cython generated for it.
Raw output: quicktions.c
001: # cython: profile=True
002:
003: # Copyright (c) 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010,
004: # 2011, 2012, 2013, 2014 Python Software Foundation; All Rights Reserved
005: #
006: # Based on the "fractions" module in CPython 3.4.
007: # https://hg.python.org/cpython/file/b18288f24501/Lib/fractions.py
008: #
009: # Adapted for efficient Cython compilation by Stefan Behnel.
010: #
011:
012: """
013: Fast fractions data type for rational numbers.
014:
015: This is an almost-drop-in replacement for the standard library's
016: "fractions.Fraction".
017: """
018:
019: from __future__ import division, absolute_import, print_function
020:
021:
+022: __all__ = ['Fraction']
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023:
+024: __version__ = '1.1'
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025:
026: cimport cython
027: from cpython.object cimport Py_LT, Py_LE, Py_EQ, Py_NE, Py_GT, Py_GE
028: from cpython.version cimport PY_MAJOR_VERSION
029:
030: cdef extern from *:
031: ctypedef long Py_hash_t
032:
033: cdef object Rational, Decimal, math, numbers, sys, re, operator
+034: cdef bint _decimal_supports_integer_ratio = hasattr(Decimal, "as_integer_ratio") # Py3.6+
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035:
+036: from numbers import Rational
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+037: from decimal import Decimal
__pyx_t_3 = PyList_New(1); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 37; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_3); __Pyx_INCREF(__pyx_n_s_Decimal); __Pyx_GIVEREF(__pyx_n_s_Decimal); PyList_SET_ITEM(__pyx_t_3, 0, __pyx_n_s_Decimal); __pyx_t_1 = __Pyx_Import(__pyx_n_s_decimal, __pyx_t_3, 0); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 37; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_1); __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0; __pyx_t_3 = __Pyx_ImportFrom(__pyx_t_1, __pyx_n_s_Decimal); if (unlikely(!__pyx_t_3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 37; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_3); __Pyx_INCREF(__pyx_t_3); __Pyx_XGOTREF(__pyx_v_10quicktions_Decimal); __Pyx_DECREF_SET(__pyx_v_10quicktions_Decimal, __pyx_t_3); __Pyx_GIVEREF(__pyx_t_3); __Pyx_DECREF(__pyx_t_3); __pyx_t_3 = 0; __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0;
+038: import math
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+039: import numbers
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+040: import operator
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+041: import re
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+042: import sys
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043:
044:
+045: cpdef _gcd(a, b):
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046: """Calculate the Greatest Common Divisor of a and b as a non-negative number.
047: """
048: # Try doing all computation in C space. If the numbers are too
049: # large at the beginning, retry after each iteration until they
050: # are small enough.
051: cdef unsigned long long au, bu
052: cdef long long ai, bi
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106:
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PyObject_HEAD
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108: """A Rational number.
109:
110: Takes a string like '3/2' or '1.5', another Rational instance, a
111: numerator/denominator pair, or a float.
112:
113: Examples
114: --------
115:
116: >>> Fraction(10, -8)
117: Fraction(-5, 4)
118: >>> Fraction(Fraction(1, 7), 5)
119: Fraction(1, 35)
120: >>> Fraction(Fraction(1, 7), Fraction(2, 3))
121: Fraction(3, 14)
122: >>> Fraction('314')
123: Fraction(314, 1)
124: >>> Fraction('-35/4')
125: Fraction(-35, 4)
126: >>> Fraction('3.1415') # conversion from numeric string
127: Fraction(6283, 2000)
128: >>> Fraction('-47e-2') # string may include a decimal exponent
129: Fraction(-47, 100)
130: >>> Fraction(1.47) # direct construction from float (exact conversion)
131: Fraction(6620291452234629, 4503599627370496)
132: >>> Fraction(2.25)
133: Fraction(9, 4)
134: >>> from decimal import Decimal
135: >>> Fraction(Decimal('1.47'))
136: Fraction(147, 100)
137:
138: """
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__pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_v_numerator, __pyx_n_s_as_integer_ratio); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 154; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_5); __pyx_t_6 = NULL; if (CYTHON_COMPILING_IN_CPYTHON && likely(PyMethod_Check(__pyx_t_5))) { __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_5); if (likely(__pyx_t_6)) { PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_5); __Pyx_INCREF(__pyx_t_6); __Pyx_INCREF(function); __Pyx_DECREF_SET(__pyx_t_5, function); } } if (__pyx_t_6) { __pyx_t_4 = __Pyx_PyObject_CallOneArg(__pyx_t_5, __pyx_t_6); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 154; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; } else { __pyx_t_4 = __Pyx_PyObject_CallNoArg(__pyx_t_5); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 154; __pyx_clineno = __LINE__; goto __pyx_L1_error;} } __Pyx_GOTREF(__pyx_t_4); __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0; if ((likely(PyTuple_CheckExact(__pyx_t_4))) || (PyList_CheckExact(__pyx_t_4))) { PyObject* sequence = __pyx_t_4; #if CYTHON_COMPILING_IN_CPYTHON Py_ssize_t size = Py_SIZE(sequence); #else Py_ssize_t size = PySequence_Size(sequence); #endif if (unlikely(size != 2)) { if (size > 2) __Pyx_RaiseTooManyValuesError(2); else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 154; __pyx_clineno = __LINE__; goto __pyx_L1_error;} } #if CYTHON_COMPILING_IN_CPYTHON if (likely(PyTuple_CheckExact(sequence))) { __pyx_t_5 = PyTuple_GET_ITEM(sequence, 0); __pyx_t_6 = PyTuple_GET_ITEM(sequence, 1); } else { __pyx_t_5 = PyList_GET_ITEM(sequence, 0); __pyx_t_6 = PyList_GET_ITEM(sequence, 1); } __Pyx_INCREF(__pyx_t_5); __Pyx_INCREF(__pyx_t_6); #else __pyx_t_5 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 154; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_5); __pyx_t_6 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 154; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); #endif __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0; } else { Py_ssize_t index = -1; __pyx_t_7 = PyObject_GetIter(__pyx_t_4); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 154; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0; __pyx_t_8 = Py_TYPE(__pyx_t_7)->tp_iternext; index = 0; __pyx_t_5 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_5)) goto __pyx_L7_unpacking_failed; __Pyx_GOTREF(__pyx_t_5); index = 1; __pyx_t_6 = __pyx_t_8(__pyx_t_7); if (unlikely(!__pyx_t_6)) goto __pyx_L7_unpacking_failed; __Pyx_GOTREF(__pyx_t_6); if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_7), 2) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 154; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_t_8 = NULL; __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0; goto __pyx_L8_unpacking_done; __pyx_L7_unpacking_failed:; __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0; __pyx_t_8 = NULL; if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 154; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_L8_unpacking_done:; } __Pyx_GIVEREF(__pyx_t_5); __Pyx_GOTREF(__pyx_v_self->_numerator); __Pyx_DECREF(__pyx_v_self->_numerator); __pyx_v_self->_numerator = __pyx_t_5; __pyx_t_5 = 0; __Pyx_GIVEREF(__pyx_t_6); __Pyx_GOTREF(__pyx_v_self->_denominator); __Pyx_DECREF(__pyx_v_self->_denominator); __pyx_v_self->_denominator = __pyx_t_6; __pyx_t_6 = 0;
+155: return
__pyx_r = 0;
goto __pyx_L0;
156:
+157: elif type(numerator) is Fraction:
__pyx_t_1 = (((PyObject *)Py_TYPE(__pyx_v_numerator)) == ((PyObject *)__pyx_ptype_10quicktions_Fraction));
__pyx_t_2 = (__pyx_t_1 != 0);
if (__pyx_t_2) {
/* … */
}
+158: self._numerator = (<Fraction>numerator)._numerator
__pyx_t_4 = ((struct __pyx_obj_10quicktions_Fraction *)__pyx_v_numerator)->_numerator;
__Pyx_INCREF(__pyx_t_4);
__Pyx_GIVEREF(__pyx_t_4);
__Pyx_GOTREF(__pyx_v_self->_numerator);
__Pyx_DECREF(__pyx_v_self->_numerator);
__pyx_v_self->_numerator = __pyx_t_4;
__pyx_t_4 = 0;
+159: self._denominator = (<Fraction>numerator)._denominator
__pyx_t_4 = ((struct __pyx_obj_10quicktions_Fraction *)__pyx_v_numerator)->_denominator;
__Pyx_INCREF(__pyx_t_4);
__Pyx_GIVEREF(__pyx_t_4);
__Pyx_GOTREF(__pyx_v_self->_denominator);
__Pyx_DECREF(__pyx_v_self->_denominator);
__pyx_v_self->_denominator = __pyx_t_4;
__pyx_t_4 = 0;
+160: return
__pyx_r = 0;
goto __pyx_L0;
161:
+162: elif isinstance(numerator, basestring):
__pyx_t_2 = __Pyx_PyBaseString_Check(__pyx_v_numerator);
__pyx_t_1 = (__pyx_t_2 != 0);
if (__pyx_t_1) {
/* … */
goto __pyx_L4;
}
163: # Handle construction from strings.
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__Pyx_INCREF(__pyx_v_10quicktions__parse_rational); __pyx_t_6 = __pyx_v_10quicktions__parse_rational; __pyx_t_5 = NULL; if (CYTHON_COMPILING_IN_CPYTHON && unlikely(PyMethod_Check(__pyx_t_6))) { __pyx_t_5 = PyMethod_GET_SELF(__pyx_t_6); if (likely(__pyx_t_5)) { PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_6); __Pyx_INCREF(__pyx_t_5); __Pyx_INCREF(function); __Pyx_DECREF_SET(__pyx_t_6, function); } } if (!__pyx_t_5) { __pyx_t_4 = __Pyx_PyObject_CallOneArg(__pyx_t_6, __pyx_v_numerator); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 164; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); } else { __pyx_t_7 = PyTuple_New(1+1); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 164; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __Pyx_GIVEREF(__pyx_t_5); PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_t_5); __pyx_t_5 = NULL; __Pyx_INCREF(__pyx_v_numerator); __Pyx_GIVEREF(__pyx_v_numerator); PyTuple_SET_ITEM(__pyx_t_7, 0+1, __pyx_v_numerator); __pyx_t_4 = __Pyx_PyObject_Call(__pyx_t_6, __pyx_t_7, NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 164; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0; } __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; __pyx_v_m = __pyx_t_4; __pyx_t_4 = 0;
+165: if m is None:
__pyx_t_1 = (__pyx_v_m == Py_None);
__pyx_t_2 = (__pyx_t_1 != 0);
if (__pyx_t_2) {
/* … */
}
+166: raise ValueError('Invalid literal for Fraction: %r' %
__pyx_t_4 = __Pyx_PyString_Format(__pyx_kp_s_Invalid_literal_for_Fraction_r, __pyx_v_numerator); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 166; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __pyx_t_6 = PyTuple_New(1); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 166; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __Pyx_GIVEREF(__pyx_t_4); PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_4); __pyx_t_4 = 0; __pyx_t_4 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_t_6, NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 166; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; __Pyx_Raise(__pyx_t_4, 0, 0, 0); __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0; {__pyx_filename = __pyx_f[0]; __pyx_lineno = 166; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
167: numerator)
+168: group = m.group
__pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_v_m, __pyx_n_s_group); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 168; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __pyx_v_group = __pyx_t_4; __pyx_t_4 = 0;
+169: numerator = int(group('num') or 0)
__pyx_t_6 = __Pyx_PyObject_Call(__pyx_v_group, __pyx_tuple_, NULL); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 169; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_t_6); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 169; __pyx_clineno = __LINE__; goto __pyx_L1_error;} if (!__pyx_t_2) { __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; } else { __Pyx_INCREF(__pyx_t_6); __pyx_t_4 = __pyx_t_6; __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; goto __pyx_L10_bool_binop_done; } __pyx_t_6 = __Pyx_PyInt_From_long(0); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 169; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __pyx_t_4 = __pyx_t_6; __pyx_t_6 = 0; __pyx_L10_bool_binop_done:; __pyx_t_6 = PyNumber_Int(__pyx_t_4); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 169; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0; __Pyx_DECREF_SET(__pyx_v_numerator, __pyx_t_6); __pyx_t_6 = 0; /* … */ __pyx_tuple_ = PyTuple_Pack(1, __pyx_n_s_num); if (unlikely(!__pyx_tuple_)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 169; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_tuple_); __Pyx_GIVEREF(__pyx_tuple_);
+170: denom = group('denom')
__pyx_t_6 = __Pyx_PyObject_Call(__pyx_v_group, __pyx_tuple__2, NULL); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 170; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __pyx_v_denom = __pyx_t_6; __pyx_t_6 = 0; /* … */ __pyx_tuple__2 = PyTuple_Pack(1, __pyx_n_s_denom); if (unlikely(!__pyx_tuple__2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 170; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_tuple__2); __Pyx_GIVEREF(__pyx_tuple__2);
+171: if denom:
__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_denom); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 171; __pyx_clineno = __LINE__; goto __pyx_L1_error;} if (__pyx_t_2) { /* … */ goto __pyx_L12; }
+172: denominator = int(denom)
__pyx_t_6 = PyNumber_Int(__pyx_v_denom); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 172; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __Pyx_DECREF_SET(__pyx_v_denominator, __pyx_t_6); __pyx_t_6 = 0;
173: else:
+174: decimal = group('decimal')
/*else*/ {
__pyx_t_6 = __Pyx_PyObject_Call(__pyx_v_group, __pyx_tuple__3, NULL); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 174; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_t_6);
__pyx_v_decimal = __pyx_t_6;
__pyx_t_6 = 0;
/* … */
__pyx_tuple__3 = PyTuple_Pack(1, __pyx_n_s_decimal); if (unlikely(!__pyx_tuple__3)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 174; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_tuple__3);
__Pyx_GIVEREF(__pyx_tuple__3);
+175: if decimal:
__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_decimal); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 175; __pyx_clineno = __LINE__; goto __pyx_L1_error;} if (__pyx_t_2) { /* … */ goto __pyx_L13; }
+176: scale = 10 ** <object>len(decimal)
__pyx_t_9 = PyObject_Length(__pyx_v_decimal); if (unlikely(__pyx_t_9 == -1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 176; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_t_6 = PyInt_FromSsize_t(__pyx_t_9); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 176; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __pyx_t_4 = PyNumber_Power(__pyx_int_10, __pyx_t_6, Py_None); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 176; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; __pyx_v_scale = __pyx_t_4; __pyx_t_4 = 0;
+177: numerator = numerator * scale + int(decimal)
__pyx_t_4 = PyNumber_Multiply(__pyx_v_numerator, __pyx_v_scale); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 177; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __pyx_t_6 = PyNumber_Int(__pyx_v_decimal); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 177; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __pyx_t_7 = PyNumber_Add(__pyx_t_4, __pyx_t_6); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 177; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0; __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; __Pyx_DECREF_SET(__pyx_v_numerator, __pyx_t_7); __pyx_t_7 = 0;
+178: denominator = scale
__Pyx_INCREF(__pyx_v_scale); __Pyx_DECREF_SET(__pyx_v_denominator, __pyx_v_scale);
179: else:
+180: denominator = 1
/*else*/ {
__Pyx_INCREF(__pyx_int_1);
__Pyx_DECREF_SET(__pyx_v_denominator, __pyx_int_1);
}
__pyx_L13:;
+181: exp = group('exp')
__pyx_t_7 = __Pyx_PyObject_Call(__pyx_v_group, __pyx_tuple__4, NULL); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 181; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __pyx_v_exp = __pyx_t_7; __pyx_t_7 = 0; /* … */ __pyx_tuple__4 = PyTuple_Pack(1, __pyx_n_s_exp); if (unlikely(!__pyx_tuple__4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 181; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_tuple__4); __Pyx_GIVEREF(__pyx_tuple__4);
+182: if exp:
__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_exp); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 182; __pyx_clineno = __LINE__; goto __pyx_L1_error;} if (__pyx_t_2) { /* … */ } } __pyx_L12:;
+183: exp = int(exp)
__pyx_t_7 = PyNumber_Int(__pyx_v_exp); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 183; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __Pyx_DECREF_SET(__pyx_v_exp, __pyx_t_7); __pyx_t_7 = 0;
+184: if exp >= 0:
__pyx_t_7 = PyObject_RichCompare(__pyx_v_exp, __pyx_int_0, Py_GE); __Pyx_XGOTREF(__pyx_t_7); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 184; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_t_7); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 184; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0; if (__pyx_t_2) { /* … */ goto __pyx_L15; }
+185: numerator *= 10**exp
__pyx_t_7 = PyNumber_Power(__pyx_int_10, __pyx_v_exp, Py_None); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 185; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __pyx_t_6 = PyNumber_InPlaceMultiply(__pyx_v_numerator, __pyx_t_7); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 185; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0; __Pyx_DECREF_SET(__pyx_v_numerator, __pyx_t_6); __pyx_t_6 = 0;
186: else:
+187: denominator *= 10**-exp
/*else*/ {
__pyx_t_6 = PyNumber_Negative(__pyx_v_exp); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 187; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_t_6);
__pyx_t_7 = PyNumber_Power(__pyx_int_10, __pyx_t_6, Py_None); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 187; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_t_7);
__Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
__pyx_t_6 = PyNumber_InPlaceMultiply(__pyx_v_denominator, __pyx_t_7); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 187; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_t_6);
__Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
__Pyx_DECREF_SET(__pyx_v_denominator, __pyx_t_6);
__pyx_t_6 = 0;
}
__pyx_L15:;
+188: if group('sign') == '-':
__pyx_t_6 = __Pyx_PyObject_Call(__pyx_v_group, __pyx_tuple__5, NULL); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 188; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __pyx_t_2 = (__Pyx_PyString_Equals(__pyx_t_6, __pyx_kp_s__6, Py_EQ)); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 188; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; if (__pyx_t_2) { /* … */ } /* … */ __pyx_tuple__5 = PyTuple_Pack(1, __pyx_n_s_sign); if (unlikely(!__pyx_tuple__5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 188; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_tuple__5); __Pyx_GIVEREF(__pyx_tuple__5);
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__pyx_t_6 = PyNumber_Negative(__pyx_v_numerator); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 189; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __Pyx_DECREF_SET(__pyx_v_numerator, __pyx_t_6); __pyx_t_6 = 0;
190: # fall through to normalisation below
191:
+192: elif isinstance(numerator, (Fraction, Rational)):
__Pyx_INCREF(__pyx_v_10quicktions_Rational); __pyx_t_6 = __pyx_v_10quicktions_Rational; __pyx_t_1 = __Pyx_TypeCheck(__pyx_v_numerator, __pyx_ptype_10quicktions_Fraction); __pyx_t_3 = (__pyx_t_1 != 0); if (!__pyx_t_3) { } else { __pyx_t_2 = __pyx_t_3; goto __pyx_L17_bool_binop_done; } __pyx_t_3 = PyObject_IsInstance(__pyx_v_numerator, __pyx_t_6); __pyx_t_1 = (__pyx_t_3 != 0); __pyx_t_2 = __pyx_t_1; __pyx_L17_bool_binop_done:; __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; __pyx_t_1 = (__pyx_t_2 != 0); if (__pyx_t_1) { /* … */ }
+193: self._numerator = numerator.numerator
__pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_v_numerator, __pyx_n_s_numerator); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 193; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __Pyx_GIVEREF(__pyx_t_6); __Pyx_GOTREF(__pyx_v_self->_numerator); __Pyx_DECREF(__pyx_v_self->_numerator); __pyx_v_self->_numerator = __pyx_t_6; __pyx_t_6 = 0;
+194: self._denominator = numerator.denominator
__pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_v_numerator, __pyx_n_s_denominator); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 194; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __Pyx_GIVEREF(__pyx_t_6); __Pyx_GOTREF(__pyx_v_self->_denominator); __Pyx_DECREF(__pyx_v_self->_denominator); __pyx_v_self->_denominator = __pyx_t_6; __pyx_t_6 = 0;
+195: return
__pyx_r = 0;
goto __pyx_L0;
196:
+197: elif isinstance(numerator, Decimal):
__pyx_t_6 = __pyx_v_10quicktions_Decimal;
__Pyx_INCREF(__pyx_t_6);
__pyx_t_1 = PyObject_IsInstance(__pyx_v_numerator, __pyx_t_6); if (unlikely(__pyx_t_1 == -1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 197; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
__pyx_t_2 = (__pyx_t_1 != 0);
if (__pyx_t_2) {
/* … */
}
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__pyx_t_2 = (__pyx_v_10quicktions__decimal_supports_integer_ratio != 0);
if (__pyx_t_2) {
/* … */
goto __pyx_L19;
}
199: # Exact conversion
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__pyx_t_7 = __Pyx_PyObject_GetAttrStr(__pyx_v_numerator, __pyx_n_s_as_integer_ratio); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 200; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __pyx_t_4 = NULL; if (CYTHON_COMPILING_IN_CPYTHON && likely(PyMethod_Check(__pyx_t_7))) { __pyx_t_4 = PyMethod_GET_SELF(__pyx_t_7); if (likely(__pyx_t_4)) { PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_7); __Pyx_INCREF(__pyx_t_4); __Pyx_INCREF(function); __Pyx_DECREF_SET(__pyx_t_7, function); } } if (__pyx_t_4) { __pyx_t_6 = __Pyx_PyObject_CallOneArg(__pyx_t_7, __pyx_t_4); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 200; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0; } else { __pyx_t_6 = __Pyx_PyObject_CallNoArg(__pyx_t_7); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 200; __pyx_clineno = __LINE__; goto __pyx_L1_error;} } __Pyx_GOTREF(__pyx_t_6); __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0; if ((likely(PyTuple_CheckExact(__pyx_t_6))) || (PyList_CheckExact(__pyx_t_6))) { PyObject* sequence = __pyx_t_6; #if CYTHON_COMPILING_IN_CPYTHON Py_ssize_t size = Py_SIZE(sequence); #else Py_ssize_t size = PySequence_Size(sequence); #endif if (unlikely(size != 2)) { if (size > 2) __Pyx_RaiseTooManyValuesError(2); else if (size >= 0) __Pyx_RaiseNeedMoreValuesError(size); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 200; __pyx_clineno = __LINE__; goto __pyx_L1_error;} } #if CYTHON_COMPILING_IN_CPYTHON if (likely(PyTuple_CheckExact(sequence))) { __pyx_t_7 = PyTuple_GET_ITEM(sequence, 0); __pyx_t_4 = PyTuple_GET_ITEM(sequence, 1); } else { __pyx_t_7 = PyList_GET_ITEM(sequence, 0); __pyx_t_4 = PyList_GET_ITEM(sequence, 1); } __Pyx_INCREF(__pyx_t_7); __Pyx_INCREF(__pyx_t_4); #else __pyx_t_7 = PySequence_ITEM(sequence, 0); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 200; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __pyx_t_4 = PySequence_ITEM(sequence, 1); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 200; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); #endif __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; } else { Py_ssize_t index = -1; __pyx_t_5 = PyObject_GetIter(__pyx_t_6); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 200; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_5); __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; __pyx_t_8 = Py_TYPE(__pyx_t_5)->tp_iternext; index = 0; __pyx_t_7 = __pyx_t_8(__pyx_t_5); if (unlikely(!__pyx_t_7)) goto __pyx_L20_unpacking_failed; __Pyx_GOTREF(__pyx_t_7); index = 1; __pyx_t_4 = __pyx_t_8(__pyx_t_5); if (unlikely(!__pyx_t_4)) goto __pyx_L20_unpacking_failed; __Pyx_GOTREF(__pyx_t_4); if (__Pyx_IternextUnpackEndCheck(__pyx_t_8(__pyx_t_5), 2) < 0) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 200; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_t_8 = NULL; __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0; goto __pyx_L21_unpacking_done; __pyx_L20_unpacking_failed:; __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0; __pyx_t_8 = NULL; if (__Pyx_IterFinish() == 0) __Pyx_RaiseNeedMoreValuesError(index); {__pyx_filename = __pyx_f[0]; __pyx_lineno = 200; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __pyx_L21_unpacking_done:; } __Pyx_GIVEREF(__pyx_t_7); __Pyx_GOTREF(__pyx_v_self->_numerator); __Pyx_DECREF(__pyx_v_self->_numerator); __pyx_v_self->_numerator = __pyx_t_7; __pyx_t_7 = 0; __Pyx_GIVEREF(__pyx_t_4); __Pyx_GOTREF(__pyx_v_self->_denominator); __Pyx_DECREF(__pyx_v_self->_denominator); __pyx_v_self->_denominator = __pyx_t_4; __pyx_t_4 = 0;
201: else:
+202: value = Fraction.from_decimal(numerator)
/*else*/ {
__pyx_t_4 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_ptype_10quicktions_Fraction), __pyx_n_s_from_decimal); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 202; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_t_4);
__pyx_t_7 = NULL;
if (CYTHON_COMPILING_IN_CPYTHON && likely(PyMethod_Check(__pyx_t_4))) {
__pyx_t_7 = PyMethod_GET_SELF(__pyx_t_4);
if (likely(__pyx_t_7)) {
PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_4);
__Pyx_INCREF(__pyx_t_7);
__Pyx_INCREF(function);
__Pyx_DECREF_SET(__pyx_t_4, function);
}
}
if (!__pyx_t_7) {
__pyx_t_6 = __Pyx_PyObject_CallOneArg(__pyx_t_4, __pyx_v_numerator); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 202; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_t_6);
} else {
__pyx_t_5 = PyTuple_New(1+1); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 202; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_t_5);
__Pyx_GIVEREF(__pyx_t_7); PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_7); __pyx_t_7 = NULL;
__Pyx_INCREF(__pyx_v_numerator);
__Pyx_GIVEREF(__pyx_v_numerator);
PyTuple_SET_ITEM(__pyx_t_5, 0+1, __pyx_v_numerator);
__pyx_t_6 = __Pyx_PyObject_Call(__pyx_t_4, __pyx_t_5, NULL); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 202; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_t_6);
__Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0;
}
__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
if (!(likely(((__pyx_t_6) == Py_None) || likely(__Pyx_TypeTest(__pyx_t_6, __pyx_ptype_10quicktions_Fraction))))) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 202; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__pyx_v_value = ((struct __pyx_obj_10quicktions_Fraction *)__pyx_t_6);
__pyx_t_6 = 0;
+203: self._numerator = (<Fraction>value)._numerator
__pyx_t_6 = __pyx_v_value->_numerator;
__Pyx_INCREF(__pyx_t_6);
__Pyx_GIVEREF(__pyx_t_6);
__Pyx_GOTREF(__pyx_v_self->_numerator);
__Pyx_DECREF(__pyx_v_self->_numerator);
__pyx_v_self->_numerator = __pyx_t_6;
__pyx_t_6 = 0;
+204: self._denominator = (<Fraction>value)._denominator
__pyx_t_6 = __pyx_v_value->_denominator;
__Pyx_INCREF(__pyx_t_6);
__Pyx_GIVEREF(__pyx_t_6);
__Pyx_GOTREF(__pyx_v_self->_denominator);
__Pyx_DECREF(__pyx_v_self->_denominator);
__pyx_v_self->_denominator = __pyx_t_6;
__pyx_t_6 = 0;
}
__pyx_L19:;
+205: return
__pyx_r = 0;
goto __pyx_L0;
206:
207: else:
+208: raise TypeError("argument should be a string "
/*else*/ {
__pyx_t_6 = __Pyx_PyObject_Call(__pyx_builtin_TypeError, __pyx_tuple__7, NULL); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 208; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_t_6);
__Pyx_Raise(__pyx_t_6, 0, 0, 0);
__Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
{__pyx_filename = __pyx_f[0]; __pyx_lineno = 208; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
}
__pyx_L4:;
/* … */
__pyx_tuple__7 = PyTuple_Pack(1, __pyx_kp_s_argument_should_be_a_string_or_a); if (unlikely(!__pyx_tuple__7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 208; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_tuple__7);
__Pyx_GIVEREF(__pyx_tuple__7);
209: "or a Rational instance")
210:
+211: elif type(numerator) is int is type(denominator):
__pyx_t_2 = (((PyObject *)Py_TYPE(__pyx_v_numerator)) == ((PyObject *)(&PyInt_Type)));
if (__pyx_t_2) {
__pyx_t_2 = ((&PyInt_Type) == ((PyTypeObject*)((PyObject *)Py_TYPE(__pyx_v_denominator))));
}
__pyx_t_1 = (__pyx_t_2 != 0);
if (__pyx_t_1) {
goto __pyx_L3;
}
212: pass # *very* normal case
213:
+214: elif PY_MAJOR_VERSION < 3 and type(numerator) is long is type(denominator):
__pyx_t_2 = ((PY_MAJOR_VERSION < 3) != 0);
if (__pyx_t_2) {
} else {
__pyx_t_1 = __pyx_t_2;
goto __pyx_L22_bool_binop_done;
}
__pyx_t_2 = (((PyObject *)Py_TYPE(__pyx_v_numerator)) == ((PyObject *)(&PyLong_Type)));
if (__pyx_t_2) {
__pyx_t_2 = ((&PyLong_Type) == ((PyTypeObject*)((PyObject *)Py_TYPE(__pyx_v_denominator))));
}
__pyx_t_3 = (__pyx_t_2 != 0);
__pyx_t_1 = __pyx_t_3;
__pyx_L22_bool_binop_done:;
if (__pyx_t_1) {
goto __pyx_L3;
}
215: pass # *very* normal case
216:
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__pyx_t_1 = (((PyObject *)Py_TYPE(__pyx_v_numerator)) == ((PyObject *)__pyx_ptype_10quicktions_Fraction));
if (__pyx_t_1) {
__pyx_t_1 = (__pyx_ptype_10quicktions_Fraction == ((PyTypeObject*)((PyObject *)Py_TYPE(__pyx_v_denominator))));
}
__pyx_t_3 = (__pyx_t_1 != 0);
if (__pyx_t_3) {
/* … */
goto __pyx_L3;
}
218: numerator, denominator = (
+219: (<Fraction>numerator)._numerator * (<Fraction>denominator)._denominator,
__pyx_t_6 = PyNumber_Multiply(((struct __pyx_obj_10quicktions_Fraction *)__pyx_v_numerator)->_numerator, ((struct __pyx_obj_10quicktions_Fraction *)__pyx_v_denominator)->_denominator); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 219; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6);
+220: (<Fraction>denominator)._numerator * (<Fraction>numerator)._denominator
__pyx_t_4 = PyNumber_Multiply(((struct __pyx_obj_10quicktions_Fraction *)__pyx_v_denominator)->_numerator, ((struct __pyx_obj_10quicktions_Fraction *)__pyx_v_numerator)->_denominator); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 220; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __Pyx_DECREF_SET(__pyx_v_numerator, __pyx_t_6); __pyx_t_6 = 0; __Pyx_DECREF_SET(__pyx_v_denominator, __pyx_t_4); __pyx_t_4 = 0;
221: )
222:
+223: elif (isinstance(numerator, (Fraction, Rational)) and
__Pyx_INCREF(__pyx_v_10quicktions_Rational); __pyx_t_4 = __pyx_v_10quicktions_Rational; __pyx_t_2 = __Pyx_TypeCheck(__pyx_v_numerator, __pyx_ptype_10quicktions_Fraction); __pyx_t_10 = (__pyx_t_2 != 0); if (!__pyx_t_10) { } else { __pyx_t_1 = __pyx_t_10; goto __pyx_L26_bool_binop_done; } __pyx_t_10 = PyObject_IsInstance(__pyx_v_numerator, __pyx_t_4); __pyx_t_2 = (__pyx_t_10 != 0); __pyx_t_1 = __pyx_t_2; __pyx_L26_bool_binop_done:; __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0; __pyx_t_2 = (__pyx_t_1 != 0); if (__pyx_t_2) { } else { __pyx_t_3 = __pyx_t_2; goto __pyx_L24_bool_binop_done; } /* … */ if (__pyx_t_3) { /* … */ goto __pyx_L3; }
+224: isinstance(denominator, (Fraction, Rational))):
__Pyx_INCREF(__pyx_v_10quicktions_Rational); __pyx_t_4 = __pyx_v_10quicktions_Rational; __pyx_t_1 = __Pyx_TypeCheck(__pyx_v_denominator, __pyx_ptype_10quicktions_Fraction); __pyx_t_10 = (__pyx_t_1 != 0); if (!__pyx_t_10) { } else { __pyx_t_2 = __pyx_t_10; goto __pyx_L28_bool_binop_done; } __pyx_t_10 = PyObject_IsInstance(__pyx_v_denominator, __pyx_t_4); __pyx_t_1 = (__pyx_t_10 != 0); __pyx_t_2 = __pyx_t_1; __pyx_L28_bool_binop_done:; __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0; __pyx_t_1 = (__pyx_t_2 != 0); __pyx_t_3 = __pyx_t_1; __pyx_L24_bool_binop_done:;
225: numerator, denominator = (
+226: numerator.numerator * denominator.denominator,
__pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_v_numerator, __pyx_n_s_numerator); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 226; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_v_denominator, __pyx_n_s_denominator); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 226; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __pyx_t_5 = PyNumber_Multiply(__pyx_t_4, __pyx_t_6); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 226; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_5); __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0; __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0;
+227: denominator.numerator * numerator.denominator
__pyx_t_6 = __Pyx_PyObject_GetAttrStr(__pyx_v_denominator, __pyx_n_s_numerator); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 227; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __pyx_t_4 = __Pyx_PyObject_GetAttrStr(__pyx_v_numerator, __pyx_n_s_denominator); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 227; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __pyx_t_7 = PyNumber_Multiply(__pyx_t_6, __pyx_t_4); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 227; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; __Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0; __Pyx_DECREF_SET(__pyx_v_numerator, __pyx_t_5); __pyx_t_5 = 0; __Pyx_DECREF_SET(__pyx_v_denominator, __pyx_t_7); __pyx_t_7 = 0;
228: )
229:
230: else:
+231: raise TypeError("both arguments should be "
/*else*/ {
__pyx_t_7 = __Pyx_PyObject_Call(__pyx_builtin_TypeError, __pyx_tuple__8, NULL); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 231; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_t_7);
__Pyx_Raise(__pyx_t_7, 0, 0, 0);
__Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0;
{__pyx_filename = __pyx_f[0]; __pyx_lineno = 231; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
}
__pyx_L3:;
/* … */
__pyx_tuple__8 = PyTuple_Pack(1, __pyx_kp_s_both_arguments_should_be_Rationa); if (unlikely(!__pyx_tuple__8)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 231; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_tuple__8);
__Pyx_GIVEREF(__pyx_tuple__8);
232: "Rational instances")
233:
+234: if denominator == 0:
__pyx_t_7 = __Pyx_PyInt_EqObjC(__pyx_v_denominator, __pyx_int_0, 0, 0); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 234; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __pyx_t_3 = __Pyx_PyObject_IsTrue(__pyx_t_7); if (unlikely(__pyx_t_3 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 234; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0; if (__pyx_t_3) { /* … */ }
+235: raise ZeroDivisionError('Fraction(%s, 0)' % numerator)
__pyx_t_7 = __Pyx_PyString_Format(__pyx_kp_s_Fraction_s_0, __pyx_v_numerator); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 235; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __pyx_t_5 = PyTuple_New(1); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 235; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_5); __Pyx_GIVEREF(__pyx_t_7); PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_t_7); __pyx_t_7 = 0; __pyx_t_7 = __Pyx_PyObject_Call(__pyx_builtin_ZeroDivisionError, __pyx_t_5, NULL); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 235; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0; __Pyx_Raise(__pyx_t_7, 0, 0, 0); __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0; {__pyx_filename = __pyx_f[0]; __pyx_lineno = 235; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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__pyx_t_3 = (__pyx_v__normalize != 0);
if (__pyx_t_3) {
/* … */
}
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238: # NOTE: 'is' tests on integers are generally a bad idea, but
239: # they are fast and if they fail here, it'll still be correct
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__pyx_t_3 = (__pyx_v_g == __pyx_int_1);
__pyx_t_1 = (__pyx_t_3 != 0);
if (__pyx_t_1) {
/* … */
goto __pyx_L33;
}
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__pyx_t_7 = PyNumber_Negative(__pyx_v_numerator); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 242; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __Pyx_DECREF_SET(__pyx_v_numerator, __pyx_t_7); __pyx_t_7 = 0;
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__pyx_t_7 = PyNumber_Negative(__pyx_v_denominator); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 243; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __Pyx_DECREF_SET(__pyx_v_denominator, __pyx_t_7); __pyx_t_7 = 0;
244: else:
+245: g = -g
/*else*/ {
__pyx_t_7 = PyNumber_Negative(__pyx_v_g); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 245; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_t_7);
__Pyx_DECREF_SET(__pyx_v_g, __pyx_t_7);
__pyx_t_7 = 0;
}
__pyx_L33:;
+246: if g is not 1:
__pyx_t_1 = (__pyx_v_g != __pyx_int_1);
__pyx_t_3 = (__pyx_t_1 != 0);
if (__pyx_t_3) {
/* … */
}
+247: numerator //= g
__pyx_t_7 = PyNumber_InPlaceFloorDivide(__pyx_v_numerator, __pyx_v_g); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 247; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __Pyx_DECREF_SET(__pyx_v_numerator, __pyx_t_7); __pyx_t_7 = 0;
+248: denominator //= g
__pyx_t_7 = PyNumber_InPlaceFloorDivide(__pyx_v_denominator, __pyx_v_g); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 248; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __Pyx_DECREF_SET(__pyx_v_denominator, __pyx_t_7); __pyx_t_7 = 0;
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__Pyx_INCREF(__pyx_v_numerator); __Pyx_GIVEREF(__pyx_v_numerator); __Pyx_GOTREF(__pyx_v_self->_numerator); __Pyx_DECREF(__pyx_v_self->_numerator); __pyx_v_self->_numerator = __pyx_v_numerator;
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__Pyx_INCREF(__pyx_v_denominator); __Pyx_GIVEREF(__pyx_v_denominator); __Pyx_GOTREF(__pyx_v_self->_denominator); __Pyx_DECREF(__pyx_v_self->_denominator); __pyx_v_self->_denominator = __pyx_v_denominator;
251:
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/* Python wrapper */
static PyObject *__pyx_pw_10quicktions_8Fraction_3from_float(PyObject *__pyx_v_cls, PyObject *__pyx_v_f); /*proto*/
static char __pyx_doc_10quicktions_8Fraction_2from_float[] = "Converts a finite float to a rational number, exactly.\n\n Beware that Fraction.from_float(0.3) != Fraction(3, 10).\n\n ";
static PyObject *__pyx_pw_10quicktions_8Fraction_3from_float(PyObject *__pyx_v_cls, PyObject *__pyx_v_f) {
PyObject *__pyx_r = 0;
__Pyx_RefNannyDeclarations
__Pyx_RefNannySetupContext("from_float (wrapper)", 0);
__pyx_r = __pyx_pf_10quicktions_8Fraction_2from_float(((PyTypeObject*)__pyx_v_cls), ((PyObject *)__pyx_v_f));
/* function exit code */
__Pyx_RefNannyFinishContext();
return __pyx_r;
}
static PyObject *__pyx_pf_10quicktions_8Fraction_2from_float(PyTypeObject *__pyx_v_cls, PyObject *__pyx_v_f) {
PyObject *__pyx_v_ratio = NULL;
PyObject *__pyx_r = NULL;
__Pyx_TraceDeclarations
__Pyx_RefNannyDeclarations
__Pyx_RefNannySetupContext("from_float", 0);
__Pyx_TraceCall("from_float", __pyx_f[0], 253, 0, {__pyx_filename = __pyx_f[0]; __pyx_lineno = 253; __pyx_clineno = __LINE__; goto __pyx_L1_error;});
/* … */
/* function exit code */
__pyx_L1_error:;
__Pyx_XDECREF(__pyx_t_4);
__Pyx_XDECREF(__pyx_t_5);
__Pyx_XDECREF(__pyx_t_6);
__Pyx_XDECREF(__pyx_t_10);
__Pyx_AddTraceback("quicktions.Fraction.from_float", __pyx_clineno, __pyx_lineno, __pyx_filename);
__pyx_r = NULL;
__pyx_L0:;
__Pyx_XDECREF(__pyx_v_ratio);
__Pyx_XGIVEREF(__pyx_r);
__Pyx_TraceReturn(__pyx_r, 0);
__Pyx_RefNannyFinishContext();
return __pyx_r;
}
/* … */
__pyx_t_9 = __Pyx_GetNameInClass((PyObject *)__pyx_ptype_10quicktions_Fraction, __pyx_n_s_from_float); if (unlikely(!__pyx_t_9)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 253; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_t_9);
254: """Converts a finite float to a rational number, exactly.
255:
256: Beware that Fraction.from_float(0.3) != Fraction(3, 10).
257:
258: """
+259: try:
{
/*try:*/ {
/* … */
}
/* … */
__Pyx_XGIVEREF(__pyx_t_1);
__Pyx_XGIVEREF(__pyx_t_2);
__Pyx_XGIVEREF(__pyx_t_3);
__Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
goto __pyx_L1_error;
__pyx_L6_except_return:;
__Pyx_XGIVEREF(__pyx_t_1);
__Pyx_XGIVEREF(__pyx_t_2);
__Pyx_XGIVEREF(__pyx_t_3);
__Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
goto __pyx_L0;
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__Pyx_XGIVEREF(__pyx_t_1);
__Pyx_XGIVEREF(__pyx_t_2);
__Pyx_XGIVEREF(__pyx_t_3);
__Pyx_ExceptionReset(__pyx_t_1, __pyx_t_2, __pyx_t_3);
}
+260: ratio = f.as_integer_ratio()
__pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_v_f, __pyx_n_s_as_integer_ratio); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 260; __pyx_clineno = __LINE__; goto __pyx_L3_error;} __Pyx_GOTREF(__pyx_t_5); __pyx_t_6 = NULL; if (CYTHON_COMPILING_IN_CPYTHON && likely(PyMethod_Check(__pyx_t_5))) { __pyx_t_6 = PyMethod_GET_SELF(__pyx_t_5); if (likely(__pyx_t_6)) { PyObject* function = PyMethod_GET_FUNCTION(__pyx_t_5); __Pyx_INCREF(__pyx_t_6); __Pyx_INCREF(function); __Pyx_DECREF_SET(__pyx_t_5, function); } } if (__pyx_t_6) { __pyx_t_4 = __Pyx_PyObject_CallOneArg(__pyx_t_5, __pyx_t_6); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 260; __pyx_clineno = __LINE__; goto __pyx_L3_error;} __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; } else { __pyx_t_4 = __Pyx_PyObject_CallNoArg(__pyx_t_5); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 260; __pyx_clineno = __LINE__; goto __pyx_L3_error;} } __Pyx_GOTREF(__pyx_t_4); __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0; __pyx_v_ratio = __pyx_t_4; __pyx_t_4 = 0;
+261: except (ValueError, OverflowError, AttributeError):
__pyx_t_7 = PyErr_ExceptionMatches(__pyx_builtin_ValueError) || PyErr_ExceptionMatches(__pyx_builtin_OverflowError) || PyErr_ExceptionMatches(__pyx_builtin_AttributeError); if (__pyx_t_7) { PyErr_Restore(0,0,0); goto __pyx_L4_exception_handled; } goto __pyx_L5_except_error; __pyx_L5_except_error:;
262: pass # not something we can convert, raise concrete exceptions below
263: else:
+264: return cls(*ratio)
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__Pyx_XDECREF(__pyx_r);
__pyx_t_4 = PySequence_Tuple(__pyx_v_ratio); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 264; __pyx_clineno = __LINE__; goto __pyx_L5_except_error;}
__Pyx_GOTREF(__pyx_t_4);
__pyx_t_5 = __Pyx_PyObject_Call(((PyObject *)__pyx_v_cls), __pyx_t_4, NULL); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 264; __pyx_clineno = __LINE__; goto __pyx_L5_except_error;}
__Pyx_GOTREF(__pyx_t_5);
__Pyx_DECREF(__pyx_t_4); __pyx_t_4 = 0;
__pyx_r = __pyx_t_5;
__pyx_t_5 = 0;
goto __pyx_L6_except_return;
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__pyx_L3_error:;
__Pyx_XDECREF(__pyx_t_6); __pyx_t_6 = 0;
__Pyx_XDECREF(__pyx_t_5); __pyx_t_5 = 0;
__Pyx_XDECREF(__pyx_t_4); __pyx_t_4 = 0;
265:
+266: if isinstance(f, numbers.Integral):
__pyx_t_5 = __Pyx_PyObject_GetAttrStr(__pyx_v_10quicktions_numbers, __pyx_n_s_Integral); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 266; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_5); __pyx_t_8 = PyObject_IsInstance(__pyx_v_f, __pyx_t_5); if (unlikely(__pyx_t_8 == -1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 266; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0; __pyx_t_9 = (__pyx_t_8 != 0); if (__pyx_t_9) { /* … */ }
+267: return cls(f)
__Pyx_XDECREF(__pyx_r); __pyx_t_5 = PyTuple_New(1); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 267; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_5); __Pyx_INCREF(__pyx_v_f); __Pyx_GIVEREF(__pyx_v_f); PyTuple_SET_ITEM(__pyx_t_5, 0, __pyx_v_f); __pyx_t_4 = __Pyx_PyObject_Call(((PyObject *)__pyx_v_cls), __pyx_t_5, NULL); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 267; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0; __pyx_r = __pyx_t_4; __pyx_t_4 = 0; goto __pyx_L0;
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__pyx_t_9 = PyFloat_Check(__pyx_v_f);
__pyx_t_8 = ((!(__pyx_t_9 != 0)) != 0);
if (__pyx_t_8) {
/* … */
}
+269: raise TypeError("%s.from_float() only takes floats, not %r (%s)" %
__pyx_t_5 = __Pyx_PyString_Format(__pyx_kp_s_s_from_float_only_takes_floats, __pyx_t_6); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 269; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_5); __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; __pyx_t_6 = PyTuple_New(1); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 269; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __Pyx_GIVEREF(__pyx_t_5); PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_5); __pyx_t_5 = 0; __pyx_t_5 = __Pyx_PyObject_Call(__pyx_builtin_TypeError, __pyx_t_6, NULL); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 269; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_5); __Pyx_DECREF(__pyx_t_6); __pyx_t_6 = 0; __Pyx_Raise(__pyx_t_5, 0, 0, 0); __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0; {__pyx_filename = __pyx_f[0]; __pyx_lineno = 269; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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__pyx_t_4 = __Pyx_PyObject_GetAttrStr(((PyObject *)__pyx_v_cls), __pyx_n_s_name); if (unlikely(!__pyx_t_4)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 270; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __pyx_t_5 = __Pyx_PyObject_GetAttrStr(((PyObject *)Py_TYPE(__pyx_v_f)), __pyx_n_s_name); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 270; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_5); __pyx_t_6 = PyTuple_New(3); if (unlikely(!__pyx_t_6)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 270; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6); __Pyx_GIVEREF(__pyx_t_4); PyTuple_SET_ITEM(__pyx_t_6, 0, __pyx_t_4); __Pyx_INCREF(__pyx_v_f); __Pyx_GIVEREF(__pyx_v_f); PyTuple_SET_ITEM(__pyx_t_6, 1, __pyx_v_f); __Pyx_GIVEREF(__pyx_t_5); PyTuple_SET_ITEM(__pyx_t_6, 2, __pyx_t_5); __pyx_t_4 = 0; __pyx_t_5 = 0;
+271: if math.isinf(f):
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277: """Converts a finite Decimal instance to a rational number, exactly."""
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+285: raise OverflowError(
__pyx_t_7 = PyTuple_New(1); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 285; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_7); __Pyx_GIVEREF(__pyx_t_5); PyTuple_SET_ITEM(__pyx_t_7, 0, __pyx_t_5); __pyx_t_5 = 0; __pyx_t_5 = __Pyx_PyObject_Call(__pyx_builtin_OverflowError, __pyx_t_7, NULL); if (unlikely(!__pyx_t_5)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 285; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_5); __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0; __Pyx_Raise(__pyx_t_5, 0, 0, 0); __Pyx_DECREF(__pyx_t_5); __pyx_t_5 = 0; {__pyx_filename = __pyx_f[0]; __pyx_lineno = 285; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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299: """Closest Fraction to self with denominator at most max_denominator.
300:
301: >>> Fraction('3.141592653589793').limit_denominator(10)
302: Fraction(22, 7)
303: >>> Fraction('3.141592653589793').limit_denominator(100)
304: Fraction(311, 99)
305: >>> Fraction(4321, 8765).limit_denominator(10000)
306: Fraction(4321, 8765)
307:
308: """
309: # Algorithm notes: For any real number x, define a *best upper
310: # approximation* to x to be a rational number p/q such that:
311: #
312: # (1) p/q >= x, and
313: # (2) if p/q > r/s >= x then s > q, for any rational r/s.
314: #
315: # Define *best lower approximation* similarly. Then it can be
316: # proved that a rational number is a best upper or lower
317: # approximation to x if, and only if, it is a convergent or
318: # semiconvergent of the (unique shortest) continued fraction
319: # associated to x.
320: #
321: # To find a best rational approximation with denominator <= M,
322: # we find the best upper and lower approximations with
323: # denominator <= M and take whichever of these is closer to x.
324: # In the event of a tie, the bound with smaller denominator is
325: # chosen. If both denominators are equal (which can happen
326: # only when max_denominator == 1 and self is midway between
327: # two integers) the lower bound---i.e., the floor of self, is
328: # taken.
329:
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334:
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417:
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431: else:
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/* … */
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699:
700:
701: """
702: In general, we want to implement the arithmetic operations so
703: that mixed-mode operations either call an implementation whose
704: author knew about the types of both arguments, or convert both
705: to the nearest built in type and do the operation there. In
706: Fraction, that means that we define __add__ and __radd__ as:
707:
708: def __add__(self, other):
709: # Both types have numerators/denominator attributes,
710: # so do the operation directly
711: if isinstance(other, (int, Fraction)):
712: return Fraction(self.numerator * other.denominator +
713: other.numerator * self.denominator,
714: self.denominator * other.denominator)
715: # float and complex don't have those operations, but we
716: # know about those types, so special case them.
717: elif isinstance(other, float):
718: return float(self) + other
719: elif isinstance(other, complex):
720: return complex(self) + other
721: # Let the other type take over.
722: return NotImplemented
723:
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725: # radd handles more types than add because there's
726: # nothing left to fall back to.
727: if isinstance(other, Rational):
728: return Fraction(self.numerator * other.denominator +
729: other.numerator * self.denominator,
730: self.denominator * other.denominator)
731: elif isinstance(other, Real):
732: return float(other) + float(self)
733: elif isinstance(other, Complex):
734: return complex(other) + complex(self)
735: return NotImplemented
736:
737:
738: There are 5 different cases for a mixed-type addition on
739: Fraction. I'll refer to all of the above code that doesn't
740: refer to Fraction, float, or complex as "boilerplate". 'r'
741: will be an instance of Fraction, which is a subtype of
742: Rational (r : Fraction <: Rational), and b : B <:
743: Complex. The first three involve 'r + b':
744:
745: 1. If B <: Fraction, int, float, or complex, we handle
746: that specially, and all is well.
747: 2. If Fraction falls back to the boilerplate code, and it
748: were to return a value from __add__, we'd miss the
749: possibility that B defines a more intelligent __radd__,
750: so the boilerplate should return NotImplemented from
751: __add__. In particular, we don't handle Rational
752: here, even though we could get an exact answer, in case
753: the other type wants to do something special.
754: 3. If B <: Fraction, Python tries B.__radd__ before
755: Fraction.__add__. This is ok, because it was
756: implemented with knowledge of Fraction, so it can
757: handle those instances before delegating to Real or
758: Complex.
759:
760: The next two situations describe 'b + r'. We assume that b
761: didn't know about Fraction in its implementation, and that it
762: uses similar boilerplate code:
763:
764: 4. If B <: Rational, then __radd_ converts both to the
765: builtin rational type (hey look, that's us) and
766: proceeds.
767: 5. Otherwise, __radd__ tries to find the nearest common
768: base ABC, and fall back to its builtin type. Since this
769: class doesn't subclass a concrete type, there's no
770: implementation to fall back to, so we need to try as
771: hard as possible to return an actual value, or the user
772: will get a TypeError.
773: """
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