Your IP : 216.73.216.213
�
g fc � @ s[ d Z d d l m Z d d l m Z 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 Gd d � d e � Z Gd d
� d
e � Z Gd d � d e j � Z Gd
d � d e j � Z d d � Z Gd d � d e j � Z d d � Z e d k rWe � n d S)zTests for Lib/fractions.py.� )�Decimal)� run_unittest�requires_IEEE_754N)�copy�deepcopy)�dumps�loadsc @ s� e Z d Z 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 e Z
d S)�
DummyFloatz8Dummy float class for testing comparisons with Fractionsc C s+ t | t � s t d � � n | | _ d S)Nz-DummyFloat can only be initialized from float)�
isinstance�float� TypeError�value)�selfr
� r �8/opt/alt/python34/lib64/python3.4/test/test_fractions.py�__init__ s zDummyFloat.__init__c C sU t | t j � r+ | t j | j � | � St | t � rM | | j | j � St Sd S)N)r
�numbersZRational�F�
from_floatr
r �NotImplemented)r �other�opr r r �_richcmp s
zDummyFloat._richcmpc C s | j | t j � S)N)r �operator�eq)r r r r r �__eq__ s zDummyFloat.__eq__c C s | j | t j � S)N)r r �le)r r r r r �__le__! s zDummyFloat.__le__c C s | j | t j � S)N)r r �lt)r r r r r �__lt__" s zDummyFloat.__lt__c C s | j | t j � S)N)r r �ge)r r r r r �__ge__# s zDummyFloat.__ge__c C s | j | t j � S)N)r r �gt)r r r r r �__gt__$ s zDummyFloat.__gt__c C s d s t d � � d S)NFz/__float__ should not be invoked for comparisons)�AssertionError)r r r r � __float__' s zDummyFloat.__float__c C s d s t d � � d S)NFz-__sub__ should not be invoked for comparisons)r$ )r r r r r �__sub__+ s zDummyFloat.__sub__N)�__name__�
__module__� __qualname__�__doc__r r r r r r! r# r% r& �__rsub__r r r r r s r c @ sj e Z d Z d Z d d � Z d d � Z d d � Z d d � Z d
d � Z d d
� Z d d � Z
d S)�
DummyRationalzATest comparison of Fraction with a naive rational implementation.c C s- t | | � } | | | _ | | | _ d S)N)�gcd�num�den)r r. r/ �gr r r r 3 s
zDummyRational.__init__c C s< t | t j � r4 | j | j k o3 | j | j k St Sd S)N)r
� fractions�Fractionr. �
_numeratorr/ � _denominatorr )r r r r r r 8 s zDummyRational.__eq__c C s | j | j | j | j k S)N)r. r4 r/ r3 )r r r r r r ? s zDummyRational.__lt__c C s | j | j | j | j k S)N)r. r4 r/ r3 )r r r r r r# B s zDummyRational.__gt__c C s | j | j | j | j k S)N)r. r4 r/ r3 )r r r r r r E s zDummyRational.__le__c C s | j | j | j | j k S)N)r. r4 r/ r3 )r r r r r r! H s zDummyRational.__ge__c C s d s t d � � d S)NFz __float__ should not be invoked)r$ )r r r r r% M s zDummyRational.__float__N) r' r( r) r* r r r r# r r! r% r r r r r, 0 s r, c @ s e Z d Z d Z d S)�
DummyFractionz6Dummy Fraction subclass for copy and deepcopy testing.N)r' r( r) r* r r r r r5 P s r5 c @ s e Z d Z d d � Z d S)�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)Nr � � � � � �x �T ���r> r> r> r> r> i��i�i����)� assertEqualr- )r r r r �testMiscU s zGcdTest.testMiscN)r' r( r) r@ r r r r r6 S s r6 c C s | j | j f S)N)� numerator� denominator)�rr r r � _componentsb s rD c @ sr e 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)<� FractionTestc C s0 | j t | � t | � � | j | | � d S)z4Asserts that both the types and values are the same.N)r? �type)r ZexpectedZactualr r r �assertTypedEqualsh s z FractionTest.assertTypedEqualsc O sg y | | | � Wn; | k
rN } z | j | t | � � WYd d } ~ Xn X| j d | j � d S)z@Asserts that callable(*args, **kwargs) raises exc_type(message).Nz
%s not raised)r? �strZfailr' )r �exc_type�message�callable�args�kwargs�er r r �assertRaisesMessagem s
)z 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)0Nr r7 r8 � � � �
r: r9 �M � � � � � ic �q zFraction(12, 0)r; g �?y @z3/2y y �?)r r7 )r8 r7 )r8 rP r> )r> r7 r> r> )r> r7 r> )r7 r7 ���r[ )r7 rQ )r8 r: � m+?�R )r\ r7 l m+?�R )rP rT ���)r] rR i����)rW rX y �? @)r? rD r rO �ZeroDivisionError� assertRaisesr )r r r r �testInitw s$ % ((1
zFractionTest.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)NrR rQ g @r r7 g � �L�33f � g�������?�nan�infz-inf)rR rQ )r r7 g �)ra rb )r? rD r r_ �
ValueErrorr �
OverflowError)r r r r �testInitFromFloat� s z 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)NrU rS z1.1r8 �� z3.5e-2r r7 z.000e20rc �snanrd z-inf)rU rS )r8 rh )r r7 )r? rD r r r_ re rf )r r r r �testInitFromDecimal� s z 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)?NrR r7 �5rP rQ z3/2z
+3/2z-3/2 �
z 013/02
� z 3.2 z -3.2 z -3. z .6 �5 z32.e-5�@B z1E+06i 0 z-1.23e4r z .0e+0 z-0.000e0zFraction(3, 0)z3/0z"Invalid literal for Fraction: '3/'z3/z"Invalid literal for Fraction: '/2'z/2z$Invalid literal for Fraction: '3 /2'z3 /2z$Invalid literal for Fraction: '3/+2'z3/+2z%Invalid literal for Fraction: '+ 3/2'z+ 3/2z#Invalid literal for Fraction: '3a2'Z3a2z%Invalid literal for Fraction: '3/7.2'z3/7.2z%Invalid literal for Fraction: '3.2/7'z3.2/7z!Invalid literal for Fraction: '.'�.)rR r7 )rP rQ )rP rQ ���)rq rQ )rl rQ )rm rR ��)rr rR rq )rq r7 )rP rR )r7 rn )ro r7 ����)rs r7 )r r7 )r r7 )r? rD r rO r^ re )r r r r �testFromString� sX
zFractionTest.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)
Nr8 rP rQ r: rA r; rB � � )r8 rP )r8 rP )rv rQ )
r r r? rD r_ �AttributeError�setattrr3 r4 �assertNotEqual)r rC r r r �
testImmutable� s zFractionTest.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)!NrP y @rS r7 l �{�C r g g $@rR rQ g @� l+?�R g�J��-�Dr9 � �L�33f � g������ @g �z Cannot convert inf to Fraction.z Cannot convert -inf to Fraction.z Cannot convert nan to Fraction.y @ @)rS r7 )r r7 g �)rS r7 ���)r~ rQ g �)r{ r7 l m+?�R )r| r} )
r_ r r r r? rD r rO rf re )r Zbigintrd rc r r r �
testFromFloat� s0 % %
zFractionTest.testFromFloatc C s� | j t t j d � | j t d d � t j d � � | j t d � t j t d � � � | j t d d � t j t d � � � | j t d d � t j t d
� � � | j t d � t j t d � � � | j d t d d � t j t d d d
� � � | j t d t j t d � � | j t d t j t d � � | j t d t j t d � � | j t d t j t d � � d S)NrP y @rS r7 r z-0rR z0.5i� z5e-3i� Z5e3� z0.�9z$Cannot convert Infinity to Fraction.rd z%Cannot convert -Infinity to Fraction.z-infz Cannot convert NaN to Fraction.rc z Cannot convert sNaN to Fraction.ri y @ @l �7�3M�e') r_ r r Z from_decimalr? r rO rf re )r r r r �testFromDecimal s( "%((% z 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)Nz3.1415926535897932i' ic rZ �p iM �j �� rh �d r7 �e �f r z$max_denominator should be at least 1i����r> )r r> )r r? Zlimit_denominatorrO re )r Zrpi�ir r r �testLimitDenominator s "#""(+%
z!FractionTest.testLimitDenominatorc C s! | j d t j t d d � � � | j d t j t d d � � � | j d t j t d d � � � | j d t j t d d � � � | j d t j t d d � � � | j d t t d d � � � | j d t t d d � � � | j d t t d d � � � | j d t t d! d � � � | j d" t t d# d � � � | j d t t d d � � � | j d
t t d d � � � | j d t
t d d � � � | j t t
t d
d d � � | j
d$ t
t t d
d d � t d d d � � � � | j d% t t d d � � � d S)&Nr7 rU rS rQ r rR r: r8 FTrP g�������?�2i� �7g @�3�1y r> i����r[ i����r> i����r> i����r> i����r> r~ r[ i�r> i����gUUUUUU�?y�������? )rG �math�truncr ZfloorZceil�int�roundr? �boolr r_ rf �assertAlmostEqual�complex)r r r r �testConversions. s" """"" ! 2z 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)Nrh � rQ � r� � r7 rS r: r� � i8���ij���r[ i8���i���r[ r> r[ i�r[ i��)rG r r� )r r r r � testRoundF s
%%%+zFractionTest.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)Nr7 rQ rS rR rP r� rv rV r9 r8 � � g @r rq l m+?�R l m+?�R i����rq r> )r? r rG �powr� �real�imag)r �zr r r �testArithmeticN s ////&#/,,## zFractionTest.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)1NrU rS r7 g�������?g �?y rV g�������?g�������?g $@r r9 rY g r� rQ rv 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�!r[ y�������? y �? r> r[ r[ y �? y �? )rG r r� r� r� r? r� )r r� r r r �testMixedArithmetic^ sZ & & & & & & & & & & && & z FractionTest.testMixedArithmeticc C sT | j t t j t d d � t d � � | j t t j t d � t d d � � d S)NrP rU z 3.1415926)r_ r r �addr r )r r r r �testMixingWithDecimal� s z"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)Nr7 rQ rP )�
assertTruer � assertFalse)r r r r �testComparisons� s %%%%%%%%z 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)Nr7 rQ rP rv r8 )r� r r, r� )r r r r � testComparisonsDummyRational� s8 %%%%%%%%%%%%%%%%%%%%%%%%%%%z)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 @r7 rP gUUUUUU�?)r r r� r� )r �x�yr r r �testComparisonsDummyFloat� s z&FractionTest.testComparisonsDummyFloatc 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)NrQ rR rv rP r7 g333333�?g�������?g �?rd z-infr rS rc r8 � r; � �Y rq i����)r� r r� r )r r r r �
testMixedLess� s """""zFractionTest.testMixedLessc 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 �?r7 rQ g333333�?g�������?rv rP rR rd z-infr rS rc r8 r� r; r� r� rq i����)r� r r� r )r r r r �testMixedLessEqual� s """""z FractionTest.testMixedLessEqualc 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)NrS r9 g�J��-�Dr7 l m+?�R l m+?�R )r� r r r� r� r� )r r r r �testBigFloatComparisons� s ,&&&z$FractionTest.testBigFloatComparisonsc 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)NrS r9 rP r� g �?g g�������?l m+?�R l m+?�R l m+?�R l m+?�R l m+?�R l m+?�R ) r� r r� r_ r r r" r r� r r )r r� r� �wr r r r �testBigComplexComparisons s %%%z&FractionTest.testBigComplexComparisonsc C sl | 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 d � t d � k � | j t d � t d d
� k � | j t d d � t d � k � | j t d � t d d � k � d S)
Ng �?r7 rQ g333333�?g�������?rv rP rR rc r8 rd z-inf)r� r r� r )r r r r �testMixedEqual s """zFractionTest.testMixedEqualc C s� | j d t t d d � � � | j d t t d � � � | j d t t d d
� � � | j d
t t d d � � � | j d t t d d � � � d S)NzFraction(7, 3)r8 rP z Fraction(6283185307, 2000000000)z 3.1415926535z#Fraction(-1, 100000000000000000000)r7 rS � z7/3r� l F�x:^V l���� F�x:^V )r? �reprr rH )r r r r �testStringification! s z FractionTest.testStringificationc C s� t j j } t j j } | j t d � t t d d � � � | j t d � t t d � � � | j t t d
� � t t d � � � | j | t t d | � � � | j t t d � � t d
� j � � d S)Ng @rR rQ rS �2 r9 r7 l +�O� �tC3�y+v� l +�O� �tC3�y+v� l m+?�R l m+?�R r> r> )
�sys� hash_info�modulusrd r? �hashr ry r �__hash__)r ZhmodZhinfr r r �testHash* s %"( zFractionTest.testHashc C s� t d � } d | d d d d d f \ } } } } } } } xk t | | � t d d � k r� | } | | | d } } | | | d } } | | | } | | 7} q? W| j t j | � d S)
NrP r r7 � rS rV r� � i ʚ;)r �absr� r� Zpi) r Zthree�lasts�t�s�nZna�dZdar r r �testApproximatePi5 s 0"z FractionTest.testApproximatePic C s� t d � } d d t d � d d d f \ } } } } } } xo t | | � t d d � k r� | } | d 7} | | | d 9} | | | 9} | d 9} | | | | 7} q? W| j t j d � | � d S)Nr7 r rS rV rQ i ʚ;r> )r r� r� r� Zcos)r r� r� r� r� Zfactr. Zsignr r r �testApproximateCos1B s 0"
z FractionTest.testApproximateCos1c C s� t d d � } t d d � } | j | t t | � � � | j t | � t t | � � � | j t | � t t | � � � | j t | � t t | � � � | j t | � t t | � � � | j | t | � � | j | t | � � d S)Nrl r8 )
r r5 r? r r �idr r ry rG )r rC Zdrr r r �test_copy_deepcopy_pickleP s """"z&FractionTest.test_copy_deepcopy_picklec C s, t d d � } | j t t | d d � d S)Nrl r8 �arS )r r_ rw rx )r rC r r r �
test_slots[ s zFractionTest.test_slotsN)!r' r( r) rG rO r` r rg rj rt rz r r� r� r� r� r� r� r� r� r� r� r� r� r� r� r� r� r� r� r� r� r� r r r r rE f s:
5 8
rE c C s t t t � d S)N)r rE r6 r r r r � test_main` s r� �__main__) r* �decimalr Z test.supportr r r� r r r1 r� Zunittestr r �pickler r r2 r r- �objectr r, r5 ZTestCaser6 rD rE r� r' r r r r �<module> s, � �