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DummyFractionz6Dummy Fraction subclass for copy and deepcopy testing.N)r& r' r( r) r r r r r4 P s r4 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 r5 S s r5 c C s | j | j f S)N)� numerator� denominator)�rr r r � _componentsb s rC c @ sr e Z d Z d d � Z d d � Z d d � Z e d d � � Z d d
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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
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r9 r8 �M � � � � � ic �q zFraction(12, 0)r: g �?y @z3/2y y �?)r r6 )r7 r6 )r7 rO r= )r= r6 r= r= )r= r6 r= )r6 r6 ���rZ )r6 rP )r7 r9 � m+?�R )r[ r6 l m+?�R )rO rS ���)r\ rQ i����)rV rW y �? @)r> rC r rN �ZeroDivisionError� assertRaisesr )r r r r �testInitw s$ % ((1
zFractionTest.testInitc C s� | j d
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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
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� � d S)NrT rR z1.1r7 �� z3.5e-2r r6 z.000e20rb �snanrc z-inf)rT rR )r7 rg )r r6 )r> rC r r r^ rd re )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
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� � � | 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)?NrQ r6 �5rO rP z3/2z
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� 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: '.'�.)rQ r6 )rO rP )rO rP ���)rp rP )rk rP )rl rQ ��)rq rQ rp )rp r6 )rO rQ )r6 rm )rn r6 ����)rr r6 )r r6 )r r6 )r> rC r rN r] rd )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)
Nr7 rO rP r9 r@ r: rA � � )r7 rO )r7 rO )ru rP )
r r r> rC r^ �AttributeError�setattrr2 r3 �assertNotEqual)r rB 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)!NrO y @rR r6 l �{�C r g g $@rQ rP g @� l+?�R g�J��-�Dr8 � �L�33f � g������ @g �z Cannot convert inf to Fraction.z Cannot convert -inf to Fraction.z Cannot convert nan to Fraction.y @ @)rR r6 )r r6 g �)rR r6 ���)r} rP g �)rz r6 l m+?�R )r{ r| )
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zFractionTest.testFromFloatc C s� | j t t j d � | j t d d � t j d � � | j t d � t j t d � � � | j t d d � t j t d � � � | j t d d � t j t d
� � � | j t d � t j t d � � � | j d t d d � t j t d d d
� � � | j t d t j t d � � | j t d t j t d � � | j t d t j t d � � | j t d t j t d � � d S)NrO y @rR r6 r z-0rQ z0.5i� z5e-3i� Z5e3� z0.�9z$Cannot convert Infinity to Fraction.rc z%Cannot convert -Infinity to Fraction.z-infz Cannot convert NaN to Fraction.rb z Cannot convert sNaN to Fraction.rh y @ @l �7�3M�e') r^ r r Z from_decimalr> r rN re rd )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 rY �p iM �j �� rg �d r6 �e �f r z$max_denominator should be at least 1i����r= )r r= )r r> Zlimit_denominatorrN rd )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
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d d � t d d d � � � � | j d% t t d d � � � d S)&Nr6 rT rR rP r rQ r9 r7 FTrO g�������?�2i� �7g @�3�1y r= i����rZ i����r= i����r= i����r= i����r= r} rZ i�r= i����gUUUUUU�?y�������? )rF �math�truncr ZfloorZceil�int�roundr> �boolr r^ re �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)Nrg � rP � r � r6 rR r9 r� � i8���ij���rZ i8���i���rZ r= rZ i�rZ i��)rF 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)Nr6 rP rR rQ rO r� ru rU r8 r7 � � g @r rp l m+?�R l m+?�R i����rp r= )r> r rF �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)1NrT rR r6 g�������?g �?y rU g�������?g�������?g $@r r8 rX g r� rP ru 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�!rZ y�������? y �? r= rZ rZ y �? y �? )rF 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)NrO rT 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)Nr6 rP rO )�
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 rP rO ru r7 )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 rO 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)NrP rQ ru rO r6 g333333�?g�������?g �?rc z-infr rR rb r7 � r: � �Y rp 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 rP g333333�?g�������?ru rO rQ rc z-infr rR rb r7 r� r: r� r� rp 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)NrR r8 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)NrR r8 rO 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)
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