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� z fc @ ss d Z d d l m Z d d l m Z d d l Z d d l Z d d l Z d d l Z d d l Z d d l Z d d l m Z m Z d d l m Z m Z e j Z e j Z e j e j d � j d � d � Z d e f d � � YZ d e f d � � YZ d e j f d � � YZ d e j f d � � YZ d � Z d e j f d � � YZ d � Z e! d k roe � n d S( s Tests for Lib/fractions.py.i����( t Decimal( t run_unittestN( t copyt deepcopy( t dumpst loadst doublet IEEEs test requires IEEE 754 doublest DummyFloatc B sk e Z d Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z e Z d Z RS( s8 Dummy float class for testing comparisons with Fractionsc C s+ t | t � s t d � � n | | _ d S( Ns- DummyFloat can only be initialized from float( t isinstancet floatt TypeErrort value( t selfR ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt __init__ s c C sU t | t j � r+ | t j | j � | � St | t � rM | | j | j � St Sd S( N( R t numberst Rationalt Ft from_floatR R t NotImplemented( R t othert op( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt _richcmp s c C s | j | t j � S( N( R t operatort eq( R R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt __eq__% t c C s | j | t j � S( N( R R t le( R R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt __le__& R c C s | j | t j � S( N( R R t lt( R R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt __lt__' R c C s | j | t j � S( N( R R t ge( R R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt __ge__( R c C s | j | t j � S( N( R R t gt( R R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt __gt__) R c C s t s t d � � d S( Ns/ __float__ should not be invoked for comparisons( t Falset AssertionError( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt __float__, s c C s t s t d � � d S( Ns- __sub__ should not be invoked for comparisons( R# R$ ( R R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt __sub__0 s N( t __name__t __module__t __doc__R R R R R R R" R% R& t __rsub__t Nonet __hash__( ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyR s t DummyRationalc B sS e Z d Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d Z RS( sA Test comparison of Fraction with a naive rational implementation.c C s- t | | � } | | | _ | | | _ d S( N( t gcdt numt den( R R/ R0 t g( ( s+ /usr/lib64/python2.7/test/test_fractions.pyR ; s c C s< t | t j � r4 | j | j k o3 | j | j k St Sd S( N( R t fractionst FractionR/ t _numeratorR0 t _denominatorR ( R R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyR @ s c C s | j | j | j | j k S( N( R/ R5 R0 R4 ( R R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyR G s c C s | j | j | j | j k S( N( R/ R5 R0 R4 ( R R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyR" J s c C s | j | j | j | j k S( N( R/ R5 R0 R4 ( R R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyR M s c C s | j | j | j | j k S( N( R/ R5 R0 R4 ( R R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyR P s c C s t s t d � � d S( Ns __float__ should not be invoked( R# R$ ( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyR% U s N( R' R( R) R R R R" R R R% R+ R, ( ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyR- 8 s t DummyFractionc B s e Z d Z RS( s6 Dummy Fraction subclass for copy and deepcopy testing.( R' R( R) ( ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyR6 \ s t GcdTestc B s e Z d � Z RS( c C s� | j d t d d � � | j d t d d � � | j d t d d � � | j d t d d � � | j d t d d � � | j d t d d � � | j d t d d � � | j d t d d � � | j d t d d � � | j d t d d � � d S( Ni i i����i i��i i ix iT i�i����( t assertEqualR. ( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testMisca s ( R' R( R9 ( ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyR7 _ s c C s | j | j f S( N( t numeratort denominator( t r( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt _componentsn s t FractionTestc B s e Z d � Z d � Z d � Z e d � � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z RS( c C s0 | j t | � t | � � | j | | � d S( s4 Asserts that both the types and values are the same.N( R8 t type( R t expectedt actual( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt assertTypedEqualst s c O sU y | | | � Wn) | k r< } | j | t | � � n X| j d | j � d S( s@ Asserts that callable(*args, **kwargs) raises exc_type(message).s %s not raisedN( R8 t strt failR' ( R t exc_typet messaget callablet argst kwargst e( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt assertRaisesMessagey s c C s | j d t t � � � | j d t t d � � � | j d t t t d d � � � � | j d t t d d � � � | j d! t t d d � � � | j d" t t d d � � � | j d# t t d d � � � | j d$ t t d d � � � | j d& t t d' � � � | j d( t t t d d � d � � � | j d) t t d t d d � � � � | j d* t t t d d � t d d � � � � | j t d t d d � | j t t d+ � | j t t d d � | j t t d d � | j t t d d � d S(, Ni i i i i����i����i i i i i iM i i����i����i i� i� i ic iq s Fraction(12, 0)i g �?y @s 3/2y y �?( i i ( i i ( i i ( i����i ( i����i ( i i ( i i ( i i l m+?�R ( l m+?�R i l m+?�R ( i iM ( i����i ( i� i� y �? @( R8 R= R RK t ZeroDivisionErrort assertRaisesR ( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testInit� s$ % ((1 c C s� | j d t t d � � � | j d t t d � � � | j d t t d � � � | j t t t d � � | j t t t d � � | j t t t d � � d S( Ni i g @i i g �I������ I � g�������?t nant infs -inf( i i ( i i ( I������ I � ( R8 R= R RM R R ( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testInitFromFloat� s c C s� | j d t t t d � � � � | j d t t t d � � � � | j d t t t d � � � � | j t t t d � � | j t t t d � � | j t t t d � � | j t t t d � � d S( Ni i s 1.1i i� s 3.5e-2i i s .000e20RO t snanRP s -inf( i i ( i i� ( i i ( R8 R= R R RM R ( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testInitFromDecimal� s c C s� | j d0 t t d � � � | j d1 t t d � � � | j d2 t t d � � � | j d3 t t d � � � | j d4 t t d � � � | j d5 t t d � � � | j d6 t t d � � � | j d7 t t d � � � | j d8 t t d � � � | j d9 t t d � � � | j d: t t d � � � | j d; t t d � � � | j d< t t d � � � | j d= t t d � � � | j d> t t d � � � | j t d t d � | j t d t d � | j t d t d! � | j t d" t d# � | j t d$ t d% � | j t d& t d' � | j t d( t d) � | j t d* t d+ � | j t d, t d- � | j t d. t d/ � d S(? Ni i t 5i i s 3/2s +3/2i����s -3/2 i s 013/02 u 013/02 i s 3.2 i�u -3.2 u -3. u .6 i5 s 32.e-5i@B s 1E+06i���s -1.23e4i s .0e+0 s -0.000e0s Fraction(3, 0)s 3/0s" Invalid literal for Fraction: '3/'s 3/s" Invalid literal for Fraction: '/2's /2s$ Invalid literal for Fraction: '3 /2's 3 /2s$ Invalid literal for Fraction: '3/+2's 3/+2s% Invalid literal for Fraction: '+ 3/2's + 3/2s# Invalid literal for Fraction: '3a2't 3a2s% Invalid literal for Fraction: '3/7.2's 3/7.2s% Invalid literal for Fraction: '3.2/7's 3.2/7s! Invalid literal for Fraction: '.'t .( i i ( i i ( i i ( i����i ( i i ( i i ( i i ( i�i ( i����i ( i i ( i i5 ( i@B i ( i���i ( i i ( i i ( R8 R= R RK RL t ValueError( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testFromString� sZ c C s� t d d � } | j d d � | j d t | � � | j t t | d d � | j t t | d d � | j d t | � � d | _ d | _ | j d t | � � | j t d d � | � d S( Ni i i i R: i R; i i ( i i ( i i ( i i ( R R R8 R= RM t AttributeErrort setattrR4 R5 t assertNotEqual( R R< ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testImmutable� s c C s� | j t t j d � | j d t t j d � � � d } | j | d f t t j | � � � | j d t t j d � � � | j d t t j d � � � | j d t t j d � � � | j d t t j d � � � | j t d � t t j d � � � | j d t t j d � � � | j d t t j d � � � d } | | } | j t d t j | � | j t d t j | � | j t d t j | � d S( Ni y @i i I��}�"i g �g $@i����i g �l l+?�R g�J��-�Di I������ I g������ @g �s Cannot convert inf to Fraction.s Cannot convert -inf to Fraction.s Cannot convert nan to Fraction.y @ @( i i ( i i ( i i ( i����i ( l l+?�R i l m+?�R ( I������ I ( RM R R R R8 R= R RK ( R t bigintRP RO ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testFromFloat� s0 % % c C s� | j t t j d � | j t d d � t j d � � | j t d � t j t d � � � | j t d d � t j t d � � � | j t d d � t j t d � � � | j t d � t j t d � � � | j d t d d � t j t d d d � � � | j t d t j t d � � | j t d t j t d � � | j t d t j t d � � | j t d t j t d � � d S( Ni y @i i i s -0i s 0.5i� s 5e-3i� t 5e3i s 0.t 9s$ Cannot convert Infinity to Fraction.RP s% Cannot convert -Infinity to Fraction.s -infs Cannot convert NaN to Fraction.RO s Cannot convert sNaN to Fraction.RR y @ @l �7�3M�e'( RM R R t from_decimalR8 R RK ( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testFromDecimal s( "%((% c C sA t d � } | j | j d � t d d � � | j | j d � t d d � � | j | j d � t d d � � | j | j d � t d d � � | j t d d � j d � t d � � | j t d d � j d � t d d � � | j t d � j d � t d � � x- d D]% } | j t d t d � j | � qWd S( Ns 3.1415926535897932i' ic iq i����ip iM ij i� i� id i ie if i i����s$ max_denominator should be at least 1( i i����( R R8 t limit_denominatorRK RW ( R t rpit i( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testLimitDenominator+ s "#""(+% c C sC | j d t j t d d � � � | j d t t d d � � � | j d t j t d d � � � | j t t t d d � � � | j t t t d d � � � | j d t t d d � � � | j t t t d d d � � | j d d t t t d d d � t d d d � � � � | j d t t d d � � � d S( Ni����i����i i i i i i g�������?t 2i� t 7g @t 3t 1y y�������? ( RB t matht truncR t intR8 R# t boolt TrueR RM t OverflowErrort longt assertAlmostEqualt complex( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testConversions9 s " " ! 2c C s� | j t d d � t d d � t d d � � | j t d d � t d d � t d d � � | j t d d � t d d � t d d � � | j t d d � t d d � t d d � � | j d t d d � t d d � � | j d t d d � t d � � | j t d d � t d d � t d d � � | j t d d � t d d � t d � � | j t d d � t d d � t d � � | j d t d � t d d � � | j t d d � t d d � � | j t t t d � t d d � � d S( Ni i i i i����i i i i i i����i i g @i����l m+?�R l m+?�R ( R8 R RB RM RW t pow( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testArithmeticJ s ////&#/,,##c C sZ | j t d d � t d d � d � | j d t d d � d � | j d t d d � d � | j t d d � d t d d � � | j d d t d d � � | j d d t d d � � | j t d d � t d d � d � | j d t d d � d � | j d t d d � d � | j t d d � d t d d � � | j d d t d d � � | j d d t d d � � | j t d d � t d d � d � | j d t d d � d � | j d t d d � d! � | j t d d � d t d d � � | j d d t d d � � | j d" d# t d d � � | j t d d � t d d � d � | j d t d d � d � | j d$ t d d � d% � | j t d d � d t d d � � | j d d t d d � � | j d& d' t d d � � | j d t d d � d � | j d t d d � d � | j d d t d d � � | j d( d) t d d � � | j d d t d d � � | j t d d � t d d � d � | j d t d d � d � | j t d d � d t d d � � | j d d t d d � � | j t d d � t d d � d � | j t d d � t d d � d � | j d t d d � d � | j d* t d d � d+ � | j d d t d d � � | j t t d t d d � � | j t d d � d t d d � � | j d d t d d � � | j d d t d d � � | j d, d- t d d � � d S(. Ni i i g�������?g �?y i����g�������i g�������?g�������?g $@i g i i id i����i i i����g @g �?y�������? y �? y�������? y �? y������� y �? y�������? y �? y�������? y �? y�������? y �? y�������? y �? y $@ y �? l m+?�R l �d�&O�!y�������? y �? y �? y �? ( RB R RM RW Ru ( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testMixedArithmeticY sV & & & & & & & & & & && & c C sy | j t d t j t d d � t d � � | j t d t j t d � t d d � � | j t d d � t d � � d S( Ns; unsupported operand type(s) for +: 'Fraction' and 'Decimal'i i s 3.1415926s; unsupported operand type(s) for +: 'Decimal' and 'Fraction'i i s 2.5( RK R R t addR R R[ ( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testMixingWithDecimal� s c C sQ | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � d S( Ni i i ( t assertTrueR t assertFalse( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testComparisons� s %%%%%%%%c C s | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � | j t d d � t d d � k � d S( Ni i i i i ( Rz R R- R{ ( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testComparisonsDummyRational� s8 %%%%%%%%%%%%%%%%%%%%%%%%%%%c C s� t d d � } t d d � } | j | | k � | j | | k pM | | k � | j | | k � | j | | k o | | k � | j | | k � | j | | k p� | | k � | j | | k � | j | | k o� | | k � d S( Ng �?g @i i ( R R Rz R{ ( R t xt y( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testComparisonsDummyFloat� s c C s� | j d t d d � k � | j d t d d � k � | j t d d � d k � | j t d d � d k � | j t d d � d k � | j t d d � d k � | j d t d d � k � | j d t d d � k � | j t d � t d d � k � | j t d � t d d � k � | j t d � t d d � k � | j t d d � t d � k � | j t d d � t d � k � | j t d d � t d � k � d S( Ni i i i i g333333�?g�������?g �?RP s -infi i RO i����i i i i� i����( Rz R R{ R ( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testMixedLess� s """""c C s� | j d t d d � k � | j d t d d � k � | j t d d � d k � | j t d d � d k � | j d t d d � k � | j d t d d � k � | j t d d � d k � | j t d d � d k � | j t d � t d d � k � | j t d � t d d � k � | j t d � t d d � k � | j t d d � t d � k � | j t d d � t d � k � | j t d d � t d � k � d S( Ng �?i i g333333�?g�������?i i i RP s -infi i RO i����i i i i� i����( Rz R R{ R ( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testMixedLessEqual� s """""c C s� | j t d � t d � k � | j d t t t j d � d � � k � | j d t t j d � d � k � | j d t t j d � d � k � | j d t t j d � d � k � | j d t t j d � d � k � d S( Ni i g�J��-�Di l m+?�R l m+?�R ( R{ R R Rk Rl Rz ( R ( ( s+ /usr/lib64/python2.7/test/test_fractions.pyt testBigFloatComparisons� s ,&&&c C sg | j t d � t d � k � | j t t j t d � t d � � | j t t j t d � t d � � t d d � } t d d � } t d d � } | j | | k � | j | | k � | j | | k � | j | | k � x~ t j t j t j t j f D]^ } | j t | | | � | j t | | | � | j t | | | � | j t | | | � qWd S( Ni i i i g �?g g�������?l m+?�R l m+?�R l m+?�R l m+?�R l m+?�R l m+?�R ( R{ R Rs RM R R R! 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