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 3.4/5.
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__ = '1.3'
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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: cdef long LONG_MAX
033:
034: cdef object Rational, Decimal, math, numbers, sys, re, operator
035:
+036: from numbers import Rational
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+037: from decimal import Decimal
__pyx_t_2 = PyList_New(1); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 37; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_2); __Pyx_INCREF(__pyx_n_s_Decimal); __Pyx_GIVEREF(__pyx_n_s_Decimal); PyList_SET_ITEM(__pyx_t_2, 0, __pyx_n_s_Decimal); __pyx_t_1 = __Pyx_Import(__pyx_n_s_decimal, __pyx_t_2, 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_2); __pyx_t_2 = 0; __pyx_t_2 = __Pyx_ImportFrom(__pyx_t_1, __pyx_n_s_Decimal); if (unlikely(!__pyx_t_2)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 37; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_2); __Pyx_INCREF(__pyx_t_2); __Pyx_XGOTREF(__pyx_v_10quicktions_Decimal); __Pyx_DECREF_SET(__pyx_v_10quicktions_Decimal, __pyx_t_2); __Pyx_GIVEREF(__pyx_t_2); __Pyx_DECREF(__pyx_t_2); __pyx_t_2 = 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: cdef bint _decimal_supports_integer_ratio = hasattr(Decimal, "as_integer_ratio") # Py3.6+
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045:
046:
+047: cpdef _gcd(a, b):
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048: """Calculate the Greatest Common Divisor of a and b as a non-negative number.
049: """
050: # Try doing all computation in C space. If the numbers are too
051: # large at the beginning, retry after each iteration until they
052: # are small enough.
053: cdef unsigned long long au, bu
054: cdef long long ai, bi
+055: while b:
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072:
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107:
108:
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PyObject_HEAD
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110: """A Rational number.
111:
112: Takes a string like '3/2' or '1.5', another Rational instance, a
113: numerator/denominator pair, or a float.
114:
115: Examples
116: --------
117:
118: >>> Fraction(10, -8)
119: Fraction(-5, 4)
120: >>> Fraction(Fraction(1, 7), 5)
121: Fraction(1, 35)
122: >>> Fraction(Fraction(1, 7), Fraction(2, 3))
123: Fraction(3, 14)
124: >>> Fraction('314')
125: Fraction(314, 1)
126: >>> Fraction('-35/4')
127: Fraction(-35, 4)
128: >>> Fraction('3.1415') # conversion from numeric string
129: Fraction(6283, 2000)
130: >>> Fraction('-47e-2') # string may include a decimal exponent
131: Fraction(-47, 100)
132: >>> Fraction(1.47) # direct construction from float (exact conversion)
133: Fraction(6620291452234629, 4503599627370496)
134: >>> Fraction(2.25)
135: Fraction(9, 4)
136: >>> from decimal import Decimal
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139:
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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 = 156; __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 = 156; __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 = 156; __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 = 156; __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 = 156; __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 = 156; __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 = 156; __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 = 156; __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 = 156; __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;
+157: return
__pyx_r = 0;
goto __pyx_L0;
158:
+159: 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) {
/* … */
}
+160: 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;
+161: 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;
+162: return
__pyx_r = 0;
goto __pyx_L0;
163:
+164: 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;
}
165: # 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 = 166; __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 = 166; __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 = 166; __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;
+167: if m is None:
__pyx_t_1 = (__pyx_v_m == Py_None);
__pyx_t_2 = (__pyx_t_1 != 0);
if (__pyx_t_2) {
/* … */
}
+168: 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 = 168; __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 = 168; __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 = 168; __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 = 168; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
169: numerator)
+170: 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 = 170; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_4); __pyx_v_group = __pyx_t_4; __pyx_t_4 = 0;
+171: 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 = 171; __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 = 171; __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 = 171; __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 = 171; __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 = 171; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_tuple_); __Pyx_GIVEREF(__pyx_tuple_);
+172: 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 = 172; __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 = 172; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_tuple__2); __Pyx_GIVEREF(__pyx_tuple__2);
+173: if denom:
__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_denom); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 173; __pyx_clineno = __LINE__; goto __pyx_L1_error;} if (__pyx_t_2) { /* … */ goto __pyx_L12; }
+174: denominator = int(denom)
__pyx_t_6 = PyNumber_Int(__pyx_v_denom); 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_DECREF_SET(__pyx_v_denominator, __pyx_t_6); __pyx_t_6 = 0;
175: else:
+176: 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 = 176; __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 = 176; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_tuple__3);
__Pyx_GIVEREF(__pyx_tuple__3);
+177: if decimal:
__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_decimal); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 177; __pyx_clineno = __LINE__; goto __pyx_L1_error;} if (__pyx_t_2) { /* … */ goto __pyx_L13; }
+178: 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 = 178; __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 = 178; __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 = 178; __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;
+179: 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 = 179; __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 = 179; __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 = 179; __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;
+180: denominator = scale
__Pyx_INCREF(__pyx_v_scale); __Pyx_DECREF_SET(__pyx_v_denominator, __pyx_v_scale);
181: else:
+182: denominator = 1
/*else*/ {
__Pyx_INCREF(__pyx_int_1);
__Pyx_DECREF_SET(__pyx_v_denominator, __pyx_int_1);
}
__pyx_L13:;
+183: 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 = 183; __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 = 183; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_tuple__4); __Pyx_GIVEREF(__pyx_tuple__4);
+184: if exp:
__pyx_t_2 = __Pyx_PyObject_IsTrue(__pyx_v_exp); if (unlikely(__pyx_t_2 < 0)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 184; __pyx_clineno = __LINE__; goto __pyx_L1_error;} if (__pyx_t_2) { /* … */ } } __pyx_L12:;
+185: exp = int(exp)
__pyx_t_7 = PyNumber_Int(__pyx_v_exp); 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_DECREF_SET(__pyx_v_exp, __pyx_t_7); __pyx_t_7 = 0;
+186: 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 = 186; __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 = 186; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0; if (__pyx_t_2) { /* … */ goto __pyx_L15; }
+187: 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 = 187; __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 = 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_numerator, __pyx_t_6); __pyx_t_6 = 0;
188: else:
+189: denominator *= 10**-exp
/*else*/ {
__pyx_t_6 = PyNumber_Negative(__pyx_v_exp); 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_t_7 = PyNumber_Power(__pyx_int_10, __pyx_t_6, Py_None); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 189; __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 = 189; __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:;
+190: 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 = 190; __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 = 190; __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 = 190; __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 = 191; __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;
192: # fall through to normalisation below
193:
+194: 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) { /* … */ }
+195: 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 = 195; __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;
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__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 = 196; __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;
+197: return
__pyx_r = 0;
goto __pyx_L0;
198:
+199: 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 = 199; __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;
}
201: # 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 = 202; __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 = 202; __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 = 202; __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 = 202; __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 = 202; __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 = 202; __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 = 202; __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 = 202; __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 = 202; __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;
203: else:
+204: 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 = 204; __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 = 204; __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 = 204; __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 = 204; __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 = 204; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__pyx_v_value = ((struct __pyx_obj_10quicktions_Fraction *)__pyx_t_6);
__pyx_t_6 = 0;
+205: 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;
+206: 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:;
+207: return
__pyx_r = 0;
goto __pyx_L0;
208:
209: else:
+210: 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 = 210; __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 = 210; __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 = 210; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_tuple__7);
__Pyx_GIVEREF(__pyx_tuple__7);
211: "or a Rational instance")
212:
+213: 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;
}
214: pass # *very* normal case
215:
+216: 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;
}
217: pass # *very* normal case
218:
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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;
}
220: numerator, denominator = (
+221: (<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 = 221; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_6);
+222: (<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 = 222; __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;
223: )
224:
+225: 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; }
+226: 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:;
227: numerator, denominator = (
+228: 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 = 228; __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 = 228; __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 = 228; __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;
+229: 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 = 229; __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 = 229; __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 = 229; __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;
230: )
231:
232: else:
+233: 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 = 233; __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 = 233; __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 = 233; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
__Pyx_GOTREF(__pyx_tuple__8);
__Pyx_GIVEREF(__pyx_tuple__8);
234: "Rational instances")
235:
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__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 = 236; __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 = 236; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_DECREF(__pyx_t_7); __pyx_t_7 = 0; if (__pyx_t_3) { /* … */ }
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__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 = 237; __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 = 237; __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 = 237; __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 = 237; __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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240: # NOTE: 'is' tests on integers are generally a bad idea, but
241: # 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 = 244; __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 = 245; __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;
246: else:
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/*else*/ {
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__Pyx_GOTREF(__pyx_t_7);
__Pyx_DECREF_SET(__pyx_v_g, __pyx_t_7);
__pyx_t_7 = 0;
}
__pyx_L33:;
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__pyx_t_1 = (__pyx_v_g != __pyx_int_1);
__pyx_t_3 = (__pyx_t_1 != 0);
if (__pyx_t_3) {
/* … */
}
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__pyx_t_7 = PyNumber_InPlaceFloorDivide(__pyx_v_denominator, __pyx_v_g); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 250; __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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253:
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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) {
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__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 */
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return __pyx_r;
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PyObject *__pyx_v_ratio = NULL;
PyObject *__pyx_r = NULL;
__Pyx_RefNannyDeclarations
__Pyx_RefNannySetupContext("from_float", 0);
/* … */
/* 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_RefNannyFinishContext();
return __pyx_r;
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/* … */
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__Pyx_GOTREF(__pyx_t_9);
256: """Converts a finite float to a rational number, exactly.
257:
258: Beware that Fraction.from_float(0.3) != Fraction(3, 10).
259:
260: """
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{
/*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);
}
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__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 = 262; __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 = 262; __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 = 262; __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;
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265: else:
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__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 = 266; __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;
}
__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;
267:
+268: 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 = 268; __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 = 268; __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) { /* … */ }
+269: 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 = 269; __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 = 269; __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);
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if (__pyx_t_8) {
/* … */
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+271: raise TypeError("%s.from_float() only takes floats, not %r (%s)" %
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+273: if math.isinf(f):
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279: """Converts a finite Decimal instance to a rational number, exactly."""
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+287: raise OverflowError(
__pyx_t_7 = PyTuple_New(1); if (unlikely(!__pyx_t_7)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 287; __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 = 287; __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 = 287; __pyx_clineno = __LINE__; goto __pyx_L1_error;}
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301: """Closest Fraction to self with denominator at most max_denominator.
302:
303: >>> Fraction('3.141592653589793').limit_denominator(10)
304: Fraction(22, 7)
305: >>> Fraction('3.141592653589793').limit_denominator(100)
306: Fraction(311, 99)
307: >>> Fraction(4321, 8765).limit_denominator(10000)
308: Fraction(4321, 8765)
309:
310: """
311: # Algorithm notes: For any real number x, define a *best upper
312: # approximation* to x to be a rational number p/q such that:
313: #
314: # (1) p/q >= x, and
315: # (2) if p/q > r/s >= x then s > q, for any rational r/s.
316: #
317: # Define *best lower approximation* similarly. Then it can be
318: # proved that a rational number is a best upper or lower
319: # approximation to x if, and only if, it is a convergent or
320: # semiconvergent of the (unique shortest) continued fraction
321: # associated to x.
322: #
323: # To find a best rational approximation with denominator <= M,
324: # we find the best upper and lower approximations with
325: # denominator <= M and take whichever of these is closer to x.
326: # In the event of a tie, the bound with smaller denominator is
327: # chosen. If both denominators are equal (which can happen
328: # only when max_denominator == 1 and self is midway between
329: # two integers) the lower bound---i.e., the floor of self, is
330: # taken.
331:
+332: if max_denominator < 1:
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__pyx_t_1 = __Pyx_PyObject_Call(__pyx_builtin_ValueError, __pyx_tuple__10, NULL); if (unlikely(!__pyx_t_1)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 333; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_t_1); __Pyx_Raise(__pyx_t_1, 0, 0, 0); __Pyx_DECREF(__pyx_t_1); __pyx_t_1 = 0; {__pyx_filename = __pyx_f[0]; __pyx_lineno = 333; __pyx_clineno = __LINE__; goto __pyx_L1_error;} /* … */ __pyx_tuple__10 = PyTuple_Pack(1, __pyx_kp_s_max_denominator_should_be_at_lea); if (unlikely(!__pyx_tuple__10)) {__pyx_filename = __pyx_f[0]; __pyx_lineno = 333; __pyx_clineno = __LINE__; goto __pyx_L1_error;} __Pyx_GOTREF(__pyx_tuple__10); __Pyx_GIVEREF(__pyx_tuple__10);
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+335: return Fraction(self)
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336:
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346:
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354:
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358:
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697:
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701:
702:
703: """
704: In general, we want to implement the arithmetic operations so
705: that mixed-mode operations either call an implementation whose
706: author knew about the types of both arguments, or convert both
707: to the nearest built in type and do the operation there. In
708: Fraction, that means that we define __add__ and __radd__ as:
709:
710: def __add__(self, other):
711: # Both types have numerators/denominator attributes,
712: # so do the operation directly
713: if isinstance(other, (int, Fraction)):
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715: other.numerator * self.denominator,
716: self.denominator * other.denominator)
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718: # know about those types, so special case them.
719: elif isinstance(other, float):
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723: # Let the other type take over.
724: return NotImplemented
725:
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728: # nothing left to fall back to.
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737: return NotImplemented
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740: There are 5 different cases for a mixed-type addition on
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742: refer to Fraction, float, or complex as "boilerplate". 'r'
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744: Rational (r : Fraction <: Rational), and b : B <:
745: Complex. The first three involve 'r + b':
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747: 1. If B <: Fraction, int, float, or complex, we handle
748: that specially, and all is well.
749: 2. If Fraction falls back to the boilerplate code, and it
750: were to return a value from __add__, we'd miss the
751: possibility that B defines a more intelligent __radd__,
752: so the boilerplate should return NotImplemented from
753: __add__. In particular, we don't handle Rational
754: here, even though we could get an exact answer, in case
755: the other type wants to do something special.
756: 3. If B <: Fraction, Python tries B.__radd__ before
757: Fraction.__add__. This is ok, because it was
758: implemented with knowledge of Fraction, so it can
759: handle those instances before delegating to Real or
760: Complex.
761:
762: The next two situations describe 'b + r'. We assume that b
763: didn't know about Fraction in its implementation, and that it
764: uses similar boilerplate code:
765:
766: 4. If B <: Rational, then __radd_ converts both to the
767: builtin rational type (hey look, that's us) and
768: proceeds.
769: 5. Otherwise, __radd__ tries to find the nearest common
770: base ABC, and fall back to its builtin type. Since this
771: class doesn't subclass a concrete type, there's no
772: implementation to fall back to, so we need to try as
773: hard as possible to return an actual value, or the user
774: will get a TypeError.
775: """
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