Your IP : 216.73.217.32
��Yf]g � @ sU 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 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 e d k rQe
j � d S)zTests for Lib/fractions.py.� )�Decimal)�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 � � | | _ d S)Nz-DummyFloat can only be initialized from float)�
isinstance�float� TypeError�value)�selfr � r �8/opt/alt/python35/lib64/python3.5/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)Nr )r
r r r � __float__( s zDummyFloat.__float__c C s d S)Nr )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 s0 t j | | � } | | | _ | | | _ d S)N)�math�gcd�num�den)r
r- r. �gr r r r 4 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 9 s zDummyRational.__eq__c C s | j | j | j | j k S)N)r- r3 r. r2 )r
r r r r r @ s zDummyRational.__lt__c C s | j | j | j | j k S)N)r- r3 r. r2 )r
r r r r r" C s zDummyRational.__gt__c C s | j | j | j | j k S)N)r- r3 r. r2 )r
r r r r r F s zDummyRational.__le__c C s | j | j | j | j k S)N)r- r3 r. r2 )r
r r r r r I s zDummyRational.__ge__c C s d S)Nr )r
r r r r# N s zDummyRational.__float__N) r% r& r' r( r r r r" r r r# r r r r r* 1 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 r4 Q s r4 c @ s e Z d Z d d � Z d S)�GcdTestc C s� | j t d � � t d d � Wd QRXt j � ��t j d d t � | 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 � � | j t d d
� d � | j t d d
� d � | j t t d � t d
� � t d � � | j t t d d � t d
d � � t d d � � Wd QRXd S)Nzfractions\.gcd� �ignorer � � � � �x �T g ^@g (@g U@�M �7 i� ���r@ r@ r@ r@ r@ i��i�i����)ZassertWarnsRegex�DeprecationWarningr, �warnings�catch_warnings�filterwarnings� assertEqualr )r
r r r �testMiscV s&
+zGcdTest.testMiscN)r% r& r' rF r r r r r5 T s r5 c C s | j | j f S)N)� numerator� denominator)�rr r r � _componentsm s rJ 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)rE �type)r
ZexpectedZactualr r r �assertTypedEqualss 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)rE �strZfailr% )r
�exc_type�message�callable�args�kwargs�er r r �assertRaisesMessagex 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 r6 r8 � � � �
r: r9 r> � � � � � ic �q zFraction(12, 0)r; g �?y @z3/2y y �?)r r6 )r8 r6 )r8 rV r@ )r@ r6 r@ r@ )r@ r6 r@ )r6 r6 ���r` )r6 rW )r8 r: � m+?�R )ra r6 l m+?�R )rV r> ���)rb rX i����)r\ r] y �? @)rE rJ r rU �ZeroDivisionError� assertRaisesr )r
r r r �testInit� 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)NrX rW g @r r6 g � �L�33f � g�������?�nan�infz-inf)rX rW )r r6 g �)rf rg )rE rJ r rd �
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)NrZ rY z1.1r8 �� z3.5e-2r r6 z.000e20rh �snanri z-inf)rZ rY )r8 rm )r r6 )rE rJ r r rd rj rk )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)?NrX r6 �5rV rW 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: '.'�.)rX r6 )rV rW )rV rW ���)rv rW )rq rW )rr rX ��)rw rX rv )rv r6 )rV rX )r6 rs )rt r6 ����)rx r6 )r r6 )r r6 )rE rJ r rU rc rj )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 rV rW r: rG r; rH � � )r8 rV )r8 rV )r{ rW )
r r rE rJ rd �AttributeError�setattrr2 r3 �assertNotEqual)r
rI 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)!NrV y @rY r6 l �{�C r g g $@rX rW g @� l+?�R g�J��-�Dr9 � �L�33f � g������ @g �z Cannot convert inf to Fraction.z Cannot convert -inf to Fraction.z Cannot convert nan to Fraction.y @ @)rY r6 )r r6 g �)rY r6 ���)r� rW g �)r� r6 l m+?�R )r� r� )
rd r r r rE rJ r
rU rk rj )r
Zbigintri rh r r r �
testFromFloat� s0 % %
zFractionTest.testFromFloatc C s� | j t t j d � | j t d d � t j d � � | j t d � t j t d � � � | j t d d � t j t d � � � | j t d d � t j t d
� � � | j t d � t j t d � � � | j d t d d � t j t d d d
� � � | j t d t j t d � � | j t d t j t d � � | j t d t j t d � � | j t d t j t d � � d S)NrV y @rY r6 r z-0rX z0.5i� z5e-3i� Z5e3� z0.�9z$Cannot convert Infinity to Fraction.ri z%Cannot convert -Infinity to Fraction.z-infz Cannot convert NaN to Fraction.rh z Cannot convert sNaN to Fraction.rn y @ @l �7�3M�e') rd r r Z from_decimalrE r rU rk rj )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 r_ �p iM �j �� rm �d r6 �e �f r z$max_denominator should be at least 1i����r@ )r r@ )r rE Zlimit_denominatorrU rj )r
Zrpi�ir r r �testLimitDenominator+ s "#""(+%
z!FractionTest.testLimitDenominatorc C s! | j d t j t d d � � � | j d t j t d d � � � | j d t j t d d � � � | j d t j t d d � � � | j d t j t d d � � � | j d t t d d � � � | j d t t d d � � � | j d t t d d � � � | j d t t d! d � � � | j d" t t d# d � � � | j d t t d d � � � | j d
t t d d � � � | j d t
t d d � � � | j t t
t d
d d � � | j
d$ t
t t d
d d � t d d d � � � � | j d% t t d d � � � d S)&Nr6 rZ rY rW r rX r: r8 FTrV g�������?�2i� �7g @�3�1y r@ i����r` i����r@ i����r@ i����r@ i����r@ r� r` i�r@ i����gUUUUUU�?y�������? )rM r+ �truncr ZfloorZceil�int�roundrE �boolr
rd rk �assertAlmostEqual�complex)r
r r r �testConversions9 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)Nrm � rW � r� � r6 rY r: r� � i8���ij���r` i8���i���r` r@ r` i�r` i��)rM r r� )r
r r r � testRoundQ 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 � t d d � d } | j | t d d � � | j | j d � | j | j d � t d d � d } | j | t d d � � | j | j d � | j | j d � t d d � d } | j | t d d � � | j | j d � | j | j d � d S) Nr6 rW rY rX rV r� r{ r[ r9 r8 � � g @r rv l m+?�R l m+?�R i����rv r@ r@ r@ r@ r` r` r@ r` ) rE r rM �powr� �real�imagrG rH )r
�z�pr r r �testArithmeticX s4 ////&#/,,## zFractionTest.testArithmeticc C s� | 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 � � | j t t j t d d � d1 � d S)2NrZ rY r6 g�������?g �?y r[ g�������?g�������?g $@r r9 r^ g r� rW r{ 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 �? r` )
rM r r� r� r� rE r� rd rc r )r
r� r r r �testMixedArithmeticu s^ & & & & & & & & & & && & 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)NrV rZ z 3.1415926)rd 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)Nr6 rW rV )�
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)Nr6 rW rV r{ 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 @r6 rV 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)NrW rX r{ rV r6 g333333�?g�������?g �?ri z-infr rY rh r8 � r; � �Y rv 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 �?r6 rW g333333�?g�������?r{ rV rX ri z-infr rY rh r8 r� r; r� r� rv 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)NrY r9 g�J��-�Dr6 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)NrY r9 rV 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� rd 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 �?r6 rW g333333�?g�������?r{ rV rX rh r8 ri 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 rV z Fraction(6283185307, 2000000000)z 3.1415926535z#Fraction(-1, 100000000000000000000)r6 rY � z7/3r� l F�x:^V l���� F�x:^V )rE �reprr rN )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 @rX rW rY �2 r9 r6 l +�O� �tC3�y+v� l +�O� �tC3�y+v� l m+?�R l m+?�R r@ r@ )
�sys� hash_info�modulusri rE �hashr r~ r
�__hash__)r
ZhmodZhinfr r r �testHashC 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)
NrV r r6 � rY r[ r� � i ʚ;)r �absr� r+ Zpi) r
Zthree�lasts�t�s�nZna�dZdar r r �testApproximatePiN 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)Nr6 r rY r[ rW i ʚ;r@ )r r� r� r+ Zcos)r
r� r� r� r� Zfactr- Zsignr r r �testApproximateCos1[ 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)Nrq r8 )
r r4 rE r r �idr r r~ rM )r
rI Zdrr r r �test_copy_deepcopy_picklei s """"z&FractionTest.test_copy_deepcopy_picklec C s, t d d � } | j t t | d d � d S)Nrq r8 �arY )r rd r| r} )r
rI r r r �
test_slotst s zFractionTest.test_slotsN)!r% r& r' rM rU re r rl ro ry 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 r rK q s:
5 :
rK �__main__) r( �decimalr Z test.supportr r+ r r r0 r� ZunittestrB r r �pickler r r1 r r, �objectr r* r4 ZTestCaser5 rJ rK r% �mainr r r r �<module> s. � �