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d � d e j � Z d d � Z Gd d � d e j � Z d d � Z e d k rWe � n d S( u Tests for Lib/fractions.py.i ( u Decimal( u run_unittestu requires_IEEE_754N( u copyu deepcopy( u dumpsu loadsc B s� | Ee Z d Z d Z d d � Z d d � Z d d � Z d d � Z d
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DummyFloatu8 Dummy float class for testing comparisons with Fractionsc C s+ t | t � s t d � � n | | _ d S( Nu- DummyFloat can only be initialized from float( u
isinstanceu floatu TypeErroru value( u selfu value( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __init__ s u DummyFloat.__init__c C sU t | t j � r+ | t j | j � | � St | t � rM | | j | j � St Sd S( N( u
isinstanceu numbersu Rationalu Fu
from_floatu valueu
DummyFloatu NotImplemented( u selfu otheru op( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu _richcmp s
u DummyFloat._richcmpc C s | j | t j � S( N( u _richcmpu operatoru eq( u selfu other( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __eq__ s u DummyFloat.__eq__c C s | j | t j � S( N( u _richcmpu operatoru le( u selfu other( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __le__! s u DummyFloat.__le__c C s | j | t j � S( N( u _richcmpu operatoru lt( u selfu other( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __lt__" s u DummyFloat.__lt__c C s | j | t j � S( N( u _richcmpu operatoru ge( u selfu other( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __ge__# s u DummyFloat.__ge__c C s | j | t j � S( N( u _richcmpu operatoru gt( u selfu other( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __gt__$ s u DummyFloat.__gt__c C s d S( N( ( u self( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __float__' s u DummyFloat.__float__c C s d S( N( ( u selfu other( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __sub__+ s u DummyFloat.__sub__N( u __name__u
__module__u __qualname__u __doc__u __init__u _richcmpu __eq__u __le__u __lt__u __ge__u __gt__u __float__u __sub__u __rsub__( u
__locals__( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu
DummyFloat s u
DummyFloatc B sn | Ee Z d Z d Z d d � Z d d � Z d d � Z d d � Z d
d � Z d d
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d S( u
DummyRationaluA Test comparison of Fraction with a naive rational implementation.c C s- t | | � } | | | _ | | | _ d S( N( u gcdu numu den( u selfu numu denu g( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __init__3 s
u DummyRational.__init__c C s< t | t j � r4 | j | j k o3 | j | j k St Sd S( N( u
isinstanceu fractionsu Fractionu numu
_numeratoru denu _denominatoru NotImplemented( u selfu other( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __eq__8 s u DummyRational.__eq__c C s | j | j | j | j k S( N( u numu _denominatoru denu
_numerator( u selfu other( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __lt__? s u DummyRational.__lt__c C s | j | j | j | j k S( N( u numu _denominatoru denu
_numerator( u selfu other( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __gt__B s u DummyRational.__gt__c C s | j | j | j | j k S( N( u numu _denominatoru denu
_numerator( u selfu other( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __le__E s u DummyRational.__le__c C s | j | j | j | j k S( N( u numu _denominatoru denu
_numerator( u selfu other( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __ge__H s u DummyRational.__ge__c C s d S( N( ( u self( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu __float__M s u DummyRational.__float__N( u __name__u
__module__u __qualname__u __doc__u __init__u __eq__u __lt__u __gt__u __le__u __ge__u __float__( u
__locals__( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu
DummyRational0 s u
DummyRationalc B s | Ee Z d Z d Z d S( u
DummyFractionu6 Dummy Fraction subclass for copy and deepcopy testing.N( u __name__u
__module__u __qualname__u __doc__( u
__locals__( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu
DummyFractionP s u
DummyFractionc B s | Ee Z d Z d d � Z d S( u GcdTestc 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 ix iT i����i����i����i����i����i����i��i�i����( u assertEqualu gcd( u self( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testMiscU s u GcdTest.testMiscN( u __name__u
__module__u __qualname__u testMisc( u
__locals__( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu GcdTestS s u GcdTestc C s | j | j f S( N( u numeratoru denominator( u r( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu _componentsb s u _componentsc B sv | Ee Z d Z d d � Z d d � Z d d � Z e d d � � Z d d
� Z d d � Z d
d � Z
d d � Z d d � Z d d � Z
d d � Z d d � Z d d � Z d d � Z d d � Z d d � Z d! d" � Z d# d$ � Z d% d& � Z d' d( � Z d) d* � Z d+ d, � Z d- d. � Z d/ d0 � Z d1 d2 � Z d3 d4 � Z d5 d6 � Z d7 d8 � Z d9 d: � Z d; S(< u FractionTestc C s0 | j t | � t | � � | j | | � d S( u4 Asserts that both the types and values are the same.N( u assertEqualu type( u selfu expectedu actual( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu assertTypedEqualsh s u FractionTest.assertTypedEqualsc O sg y | | | � Wn; | k
rN } z | j | t | � � WYd d } ~ Xn X| j d | j � d S( u@ Asserts that callable(*args, **kwargs) raises exc_type(message).Nu
%s not raised( u assertEqualu stru failu __name__( u selfu exc_typeu messageu callableu argsu kwargsu e( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu assertRaisesMessagem s
)u FractionTest.assertRaisesMessagec 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(0 Ni i i i i i i
i i iM i i i� i� i ic iq u Fraction(12, 0)i g �?y @u 3/2y y �?( i i ( i i ( i i 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����( i� i� y �? @( u assertEqualu _componentsu Fu assertRaisesMessageu ZeroDivisionErroru assertRaisesu TypeError( u self( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testInitw s$ % ((1
u FractionTest.testInitc 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 l �L�33f l g�������?u nanu infu -inf( i i ( i i g �( l �L�33f l ( u assertEqualu _componentsu Fu assertRaisesu TypeErroru float( u self( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testInitFromFloat� s u FractionTest.testInitFromFloatc 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
u 1.1i i� u 3.5e-2i i u .000e20u nanu snanu infu -inf( i i
( i i� ( i i ( u assertEqualu _componentsu Fu Decimalu assertRaisesu TypeError( u self( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testInitFromDecimal� s u FractionTest.testInitFromDecimalc C sh | j d- t t d � � � | j d. t t d � � � | j d/ t t d � � � | j d1 t t d � � � | j d2 t t d
� � � | j d3 t t d � � � | j d5 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 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 u 5i i u 3/2u
+3/2u -3/2 i
u 013/02
i u 3.2 u -3.2 u -3. u .6 i5 u 32.e-5i@B u 1E+06i 0 u -1.23e4i u .0e+0 u -0.000e0u Fraction(3, 0)u 3/0u" Invalid literal for Fraction: '3/'u 3/u" Invalid literal for Fraction: '/2'u /2u$ Invalid literal for Fraction: '3 /2'u 3 /2u$ Invalid literal for Fraction: '3/+2'u 3/+2u% Invalid literal for Fraction: '+ 3/2'u + 3/2u# Invalid literal for Fraction: '3a2'u 3a2u% Invalid literal for Fraction: '3/7.2'u 3/7.2u% Invalid literal for Fraction: '3.2/7'u 3.2/7u! Invalid literal for Fraction: '.'u .( i 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 i ( u assertEqualu _componentsu Fu assertRaisesMessageu ZeroDivisionErroru
ValueError( u self( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testFromString� sX
u FractionTest.testFromStringc 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 u numeratori u denominatori i ( i i ( i i ( i i (
u Fu __init__u assertEqualu _componentsu assertRaisesu AttributeErroru setattru
_numeratoru _denominatoru assertNotEqual( u selfu r( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu
testImmutable� s u FractionTest.testImmutablec 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 l �{�C i g g $@i i g @l l+?�R g�J��-�Di l �L�33f l g������ @g �u Cannot convert inf to Fraction.u Cannot convert -inf to Fraction.u Cannot convert nan to Fraction.y @ @( i
i ( i i g �( i
i i����( i����i g �( l l+?�R i l m+?�R ( l �L�33f l ( u assertRaisesu TypeErroru Fu
from_floatu assertEqualu _componentsu floatu assertRaisesMessage( u selfu bigintu infu nan( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu
testFromFloat� s0 % %
u FractionTest.testFromFloatc C s� | j t t j d � | j t d d � t j d � � | j t d � t j t d � � � | j t d d � t j t d � � � | j t d d � t j t d
� � � | j t d � t j t d � � � | j d t d d � t j t d d d
� � � | j t d t j t d � � | j t d t j t d � � | j t d t j t d � � | j t d t j t d � � d S( Ni y @i
i i u -0i u 0.5i� u 5e-3i� u 5e3i u 0.u 9u$ Cannot convert Infinity to Fraction.u infu% Cannot convert -Infinity to Fraction.u -infu Cannot convert NaN to Fraction.u nanu Cannot convert sNaN to Fraction.u snany @ @l �7�3M�e'( u assertRaisesu TypeErroru Fu from_decimalu assertEqualu Decimalu assertRaisesMessage( u self( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testFromDecimal s( "%((% u FractionTest.testFromDecimalc 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( Nu 3.1415926535897932i' ic iq ip iM ij i� i� id i ie if i u$ max_denominator should be at least 1i����i����( i i����( u Fu assertEqualu limit_denominatoru assertRaisesMessageu
ValueError( u selfu rpiu i( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testLimitDenominator s "#""(+%
u! FractionTest.testLimitDenominatorc C s! | j d t j t d d � � � | j d t j t d d � � � | j d t j t d d � � � | j d t j t d d � � � | j d t j 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 d � � � | j d# t
t d d � � � | j d
t t d d � � � | j
t t t d d d
� � | j 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 i g�������?u 2i� u 7g @u 3u 1y i����i����i����i����i����i����i����i����i����i����i����i����i����i�i����i����FTgUUUUUU�?y�������? ( u assertTypedEqualsu mathu truncu Fu flooru ceilu intu roundu assertEqualu Falseu boolu Trueu floatu assertRaisesu
OverflowErroru assertAlmostEqualu complex( u self( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testConversions* s" """"" ! 2u FractionTest.testConversionsc C s� | j t d � t t d
� d � � | j t d � t t d � d � � | j t d � t t d � d � � | j t d d � t t d d
� d � � | j t d d � t t d d
� d � � d S( Ni� i� i i� i i i i
i id i i8���ij���i����i8���i���i����i����i����i�i����i��( u assertTypedEqualsu Fu round( u self( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testRoundB s
%%%+u FractionTest.testRoundc 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 �
� t t d � t d d � � } | j | j d � | j | j d � d S( Ni i i
i i i i i i i i i g @i i����l m+?�R l m+?�R i����i����i����( u assertEqualu Fu assertTypedEqualsu powu assertAlmostEqualu realu imag( u selfu z( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testArithmeticJ s ////&#/,,## u FractionTest.testArithmeticc C sy | 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 � � t d, t d d � � } | j d | j � | j d | j � | j t d d � d t d- d � � | j d d t d d � � | j d d t d. d � � | j d/ d0 t d d � � d S(1 Ni i
i g�������?g �?y i g�������?g�������?g $@i i i g id i i g @g �?y�������? y �? y�������? y �? i����g�������g�������y������� y �? y�������? y �? y�������? y �? y�������? y �? y�������? y �? y $@ y �? l m+?�R l �d�&O�!i����y�������? y �? i����i����i����y �? y �? ( u assertTypedEqualsu Fu powu assertAlmostEqualu realu assertEqualu imag( u selfu z( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testMixedArithmeticZ sZ & & & & & & & & & & && & u FractionTest.testMixedArithmeticc C sT | j t t j t d d � t d � � | j t t j t d � t d d � � d S( Ni i u 3.1415926( u assertRaisesu TypeErroru operatoru addu Fu Decimal( u self( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testMixingWithDecimal� s u" FractionTest.testMixingWithDecimalc 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 ( u
assertTrueu Fu assertFalse( u self( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testComparisons� s %%%%%%%%u FractionTest.testComparisonsc 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 ( u
assertTrueu Fu
DummyRationalu assertFalse( u self( ( u8 /opt/alt/python33/lib64/python3.3/test/test_fractions.pyu testComparisonsDummyRational� s8 %%%%%%%%%%%%%%%%%%%%%%%%%%%u) FractionTest.testComparisonsDummyRationalc C s� t d � } t d d � } | j | | k � | j | | k pI | | 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 gUUUUUU�?( u
DummyFloatu Fu
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