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r9 r8 r= � � � � � ic �q zFraction(12, 0)r: g �?y @z3/2y y �?)r r5 )r7 r5 )r7 rV r? )r? r5 r? r? )r? r5 r? )r5 r5 ���r` )r5 rW )r7 r9 � m+?�R )ra r5 l m+?�R )rV r= ���)rb rX i����)r\ r] y �? @)rD rI r rU �ZeroDivisionError� assertRaisesr )r
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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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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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� 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 r5 )rV rW )rV rW ���)rv rW )rq rW )rr rX ��)rw rX rv )rv r5 )rV rX )r5 rs )rt r5 ����)rx r5 )r r5 )r r5 )rD rI r rU rc rj )r
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� � � | 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 r5 l �{�C r g g $@rX rW g @� l+?�R g�J��-�Dr8 � �L�33f � g������ @g �z Cannot convert inf to Fraction.z Cannot convert -inf to Fraction.z Cannot convert nan to Fraction.y @ @)rY r5 )r r5 g �)rY r5 ���)r� rW g �)r� r5 l m+?�R )r� r� )
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zFractionTest.testFromFloatc C s� | j t t j d � | j t d d � t j d � � | j t d � t j t d � � � | j t d d � t j t d � � � | j t d d � t j t d
� � � | j t d � t j t d � � � | j d t d d � t j t d d d
� � � | j t d t j t d � � | j t d t j t d � � | j t d t j t d � � | j t d t j t d � � d S)NrV y @rY r5 r z-0rX z0.5i� z5e-3i� Z5e3� z0.�9z$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_decimalrD 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 r5 �e �f r z$max_denominator should be at least 1i����r? )r r? )r rD Zlimit_denominatorrU rj )r
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z!FractionTest.testLimitDenominatorc C s! | j d t j t d d � � � | j d t j t d d � � � | j d t j t d d � � � | j d t j t d d � � � | j d t j t d d � � � | j d t t d d � � � | j d t t d d � � � | j d t t d d � � � | j d t t d! d � � � | j d" t t d# d � � � | j d t t d d � � � | j d
t t d d � � � | j d t
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r r r �testConversions9 s" """"" ! 2z FractionTest.testConversionsc C s� | j t d � t t d
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� d � � | j t d d � t t d d
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r r r � testRoundQ s
%%%+zFractionTest.testRoundc C s | j t d d � t d d � t d d � � | j t d d � t d d � t d d � � | j t d d � t d d � t d d � � | j t d d � t d d � t d d � � | j d t d d � t d d � � | j d t d d � t d � � | j t d d � t d d � t d d � � | j t d d � t d d � t d � � | j t d d � t d d � t d � � | j d
t d � t d d � � | j t d d � t d d �
� t t d � t d d � � } | j | j d � | j | j d � t d d � d } | j | t d d � � | j | j d � | j | j d � t d d � d } | j | t d d � � | j | j d � | j | j d � t d d � d } | j | t d d � � | j | j d � | j | j d � d S) Nr5 rW rY rX rV r� r{ r[ r8 r7 � � g @r rv l m+?�R l m+?�R i����rv r? r? r? r? r` r` r? r` ) rD r rM �powr� �real�imagrF rG )r
�z�pr r r �testArithmeticX s4 ////&#/,,## zFractionTest.testArithmeticc C s� | j t d d � t d d � d � | j d t d d � d � | j d t d d � d � | j t d d � d t d d � � | j d d t d d � � | j d d t d d � � | j t d d � t d d � d � | j d t d d � d � | j d t d d � d � | j t d d � d t d d � � | j d d t d d � � | j d d t d d � � | j t d d � t d d � d � | j d t d d � d � | j d t d d � d � | j t d d � d t d d � � | j d d t d d � � | j d! d" t d d � � | j t d d � t d d � d � | j d t d d � d � | j d# t d d � d$ � | 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 r5 g�������?g �?y r[ g�������?g�������?g $@r r8 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` )
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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)Nr5 rW rV )�
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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)Nr5 rW rV r{ 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 @r5 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
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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
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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 r8 g�J��-�Dr5 l m+?�R l m+?�R )r� r r
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r r r �testBigFloatComparisons s ,&&&z$FractionTest.testBigFloatComparisonsc C sg | j t d � t d � k � | j t t j t d
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