o
    HXhv                     @   s   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G dd deZG d	d
 d
eZG dd dejZdd ZG dd dejZedkrme  dS dS )zTests 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   =/opt/python-3.10.19/usr/lib/python3.10/test/test_fractions.py__init__   s   

zDummyFloat.__init__c                 C   s:   t |tjr|t| j|S t |tr|| j|jS tS N)r	   numbersRationalF
from_floatr   r   NotImplemented)r   otheropr   r   r   _richcmp   s
   
zDummyFloat._richcmpc                 C      |  |tjS r   )r   operatoreqr   r   r   r   r   __eq__!       zDummyFloat.__eq__c                 C   r   r   )r   r   ler   r   r   r   __le__"   r    zDummyFloat.__le__c                 C   r   r   )r   r   ltr   r   r   r   __lt__#   r    zDummyFloat.__lt__c                 C   r   r   )r   r   ger   r   r   r   __ge__$   r    zDummyFloat.__ge__c                 C   r   r   )r   r   gtr   r   r   r   __gt__%   r    zDummyFloat.__gt__c                 C      d S r   r   r   r   r   r   	__float__(       zDummyFloat.__float__c                 C   r)   r   r   r   r   r   r   __sub__,   r,   zDummyFloat.__sub__N)__name__
__module____qualname____doc__r   r   r   r"   r$   r&   r(   r+   r-   __rsub__r   r   r   r   r      s    r   c                   @   sH   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$   t ||}|| | _|| | _d S r   )mathgcdnumden)r   r6   r7   gr   r   r   r   4   s   
zDummyRational.__init__c                 C   s(   t |tjr| j|jko| j|jkS tS r   )r	   	fractionsFractionr6   
_numeratorr7   _denominatorr   r   r   r   r   r   9   s
   
zDummyRational.__eq__c                 C   s   | j |j | j|j k S r   r6   r<   r7   r;   r   r   r   r   r$   @      zDummyRational.__lt__c                 C   s   | j |j | j|j kS r   r=   r   r   r   r   r(   C   r>   zDummyRational.__gt__c                 C   s   | j |j | j|j kS r   r=   r   r   r   r   r"   F   r>   zDummyRational.__le__c                 C   s   | j |j | j|j kS r   r=   r   r   r   r   r&   I   r>   zDummyRational.__ge__c                 C   r)   r   r   r*   r   r   r   r+   N   r,   zDummyRational.__float__N)r.   r/   r0   r1   r   r   r$   r(   r"   r&   r+   r   r   r   r   r3   1   s    r3   c                   @   s   e Zd ZdZdS )DummyFractionz6Dummy Fraction subclass for copy and deepcopy testing.N)r.   r/   r0   r1   r   r   r   r   r?   Q   s    r?   c                 C   s   | j | jfS r   )	numeratordenominator)rr   r   r   _componentsU   s   rC   c                   @   s   e Zd Zdd Zdd Zdd Zdd Zed	d
 Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ Zd%d& Zd'd( Zd)d* Zd+d, Zd-d. Zd/d0 Zd1d2 Zd3d4 Zd5d6 Zd7d8 Zd9d: Z d;d< Z!d=d> Z"d?d@ Z#dAdB Z$dCdD Z%dES )FFractionTestc                 C   s$   |  t|t| |  || dS )z4Asserts that both the types and values are the same.N)assertEqualtyper   Zexpectedactualr   r   r   assertTypedEquals[   s   zFractionTest.assertTypedEqualsc                 C   s0   |  || | ttt|ttt| dS )zBAsserts that both the types and values in the tuples are the same.N)ZassertTupleEqualZassertListEquallistmaprF   rG   r   r   r   assertTypedTupleEquals`   s   $z#FractionTest.assertTypedTupleEqualsc              
   O   s^   z	||i | W n |y$ } z|  |t| W Y d}~dS d}~ww | d|j  dS )z@Asserts that callable(*args, **kwargs) raises exc_type(message).Nz%s not raised)rE   strZfailr.   )r   exc_typemessagecallableargskwargser   r   r   assertRaisesMessagee   s   z FractionTest.assertRaisesMessagec              	   C   s  |  dtt  |  dttd |  dtttdd |  dttdd |  dttdd |  d	ttd
d
 |  dttdd |  dttdd |  dttd |  dtttddd |  dttdtdd |  dtttddtdd | tdtdd | ttd | ttd d | ttdd! | ttdd" | ttddd d S )#Nr      )   rV   rW   rW      rY   )rV   rZ   rV   )rV   rV   )rV         
   )rW      r_   )      m+?R rV   r`   )rY   M      )r]   r\   	   )i	  i	     c  q   zFraction(12, 0)   r   y      ?      @3/2y                y              ?)rE   rC   r   rT   ZeroDivisionErrorassertRaisesr   r*   r   r   r   testInito   s(   "zFractionTest.testInitc                 C   sv   |  dttd |  dttd |  dttd | tttd | tttd | tttd	 d S )
N)r]   r\         @rU          )   L33f l          皙?naninf-inf)rE   rC   r   rl   
ValueErrorr
   OverflowErrorr*   r   r   r   testInitFromFloat   s   
zFractionTest.testInitFromFloatc                 C   s   |  dtttd |  dtttd |  dtttd | tttd | tttd | tttd	 | tttd
 d S )N)rb   r^   z1.1)rW      z3.5e-2rU   z.000e20rr   snanrs   rt   )rE   rC   r   r   rl   ru   rv   r*   r   r   r   testInitFromDecimal   s   z FractionTest.testInitFromDecimalc                 C   s  |  dttd |  dttd |  dttd |  dttd |  dttd	 |  d
ttd |  dttd |  dttd |  dttd |  dttd |  dttd |  dttd |  dttd |  dttd | tdtd | tdtd | tdtd  | td!td" | td#td$ | td%td& | td'td( | td)td* | td+td, | td-td. d S )/N)r]   rV   5)rY   r\   rj   z 
  +3/2)r\   z-3/2  )   r\   z    013/02 
  )   r]   z 3.2 )ir]   z -3.2 )r|   rV   z -3. )rY   r]   z .6 )rV   i5  z32.e-5)i@B rV   z1E+06)irV   z-1.23e4rU   z .0e+0	z-0.000e0zFraction(3, 0)z3/0z"Invalid literal for Fraction: '3/'z3/z"Invalid literal for Fraction: '/2'z/2z$Invalid literal for Fraction: '3 /2'z3 /2z$Invalid literal for Fraction: '3/+2'z3/+2z%Invalid literal for Fraction: '+ 3/2'z+ 3/2z#Invalid literal for Fraction: '3a2'Z3a2z%Invalid literal for Fraction: '3/7.2'z3/7.2z%Invalid literal for Fraction: '3.2/7'z3.2/7z!Invalid literal for Fraction: '.'.)rE   rC   r   rT   rk   ru   r*   r   r   r   testFromString   sl   zFractionTest.testFromStringc                 C   s   t dd}|dd | dt| | tt|dd | tt|dd	 | dt| d
|_d|_| dt| | 	t d
d| d S )NrW   rY   r\   r_   rX   r@   ri   rA         )r   r\   )
r   r   rE   rC   rl   AttributeErrorsetattrr;   r<   assertNotEqualr   rB   r   r   r   testImmutable   s   
zFractionTest.testImmutablec                 C   s*  |  ttjd | dttd d}| |dftt| | dttd | dttd | d	ttd
 | dttd | tdttd | dttd | dttd d}|| }| tdtj| | tdtj|  | t	dtj| d S )N      @      @)r^   rV   r^   l   {C	 rV   rU   ro         $@)r\   g      )l      l+?R rV   J-Dr`   )rp   l           g	@g      (cannot convert Infinity to integer ratio#cannot convert NaN to integer ratio)
rl   r   r   r   rE   rC   r
   rT   rv   ru   )r   Zbigintrs   rr   r   r   r   testFromFloat   s:   zFractionTest.testFromFloatc                 C   s  |  ttjd | tddtd | tdttd | tddttd | tddttd	 | td
ttd | dtdd ttd | tdtjtd | tdtjtd | tdtjtd | tdtjtd d S )Nr   r^   rV   r   z-0r]   z0.5i  z5e-3i  Z5e3l       73Me'z 0.999999999999999999999999999999r   rs   rt   r   rr   ry   )	rl   r   r   Zfrom_decimalrE   r   rT   rv   ru   r*   r   r   r   testFromDecimal  s2   



zFractionTest.testFromDecimalc                 C   s\   |  tdd d |  tdd d |  tdd d |  tdd d d S )	Nr   r   )r\   rY   )r[   rY   ir   rU   )rE   r   as_integer_ratior*   r   r   r   test_as_integer_ratio  s   z"FractionTest.test_as_integer_ratioc                 C   s   t d}| |dt dd | |d t dd | |dt dd | |dt dd | t d	d
dt d | t d	d
dt dd | t ddt d dD ]}| tdt dj| qad S )Nz3.1415926535897932i'  rg   rh   ip   iM  j      rx   d   rV   e   f   r   )r   rZ   z$max_denominator should be at least 1)r   rE   Zlimit_denominatorrT   ru   )r   Zrpiir   r   r   testLimitDenominator  s   
z!FractionTest.testLimitDenominatorc                 C   sr  |  dttdd |  dttdd |  dttdd |  dttdd |  dttdd |  dttdd |  dttdd |  dttd	d |  dttd
d |  dttdd | dt	tdd | dt	tdd |  dt
tdd | tt
td | dt
ttdtd |  dttdd d S )NrZ   ir^   rV   rb   r[   rd   r   r   FTrY   r\   rq   A  22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227gUUUUUU?A  33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331?        )rI   r4   truncr   floorceilintroundrE   boolr
   rl   rv   assertAlmostEqualcomplexr*   r   r   r   testConversions-  s$   zFractionTest.testConversionsc                 C   sr   t jG dd d}tj| |d}t|}| |j| | t|d |d}t|}| t|d d S )Nc                   @   s8   e Zd ZdZdd Zdd Zedd Zdd	 ZeZ	d
S )z=FractionTest.testBoolGuarateesBoolReturn.<locals>.CustomValuerV   c                 S   s
   || _ d S r   )r   r   r   r   r   r   L     
zFFractionTest.testBoolGuarateesBoolReturn.<locals>.CustomValue.__init__c                 S   s
   t | jS r   )r   r   r*   r   r   r   __bool__O  r   zFFractionTest.testBoolGuarateesBoolReturn.<locals>.CustomValue.__bool__c                 S   s   | S r   r   r*   r   r   r   r@   R  s   zGFractionTest.testBoolGuarateesBoolReturn.<locals>.CustomValue.numeratorc                 S   s   t d)Nz&Avoid comparisons in Fraction.__bool__)AssertionErrorr   r   r   r   r   W  s   zDFractionTest.testBoolGuarateesBoolReturn.<locals>.CustomValue.__eq__N)
r.   r/   r0   rA   r   r   propertyr@   r   r$   r   r   r   r   CustomValueH  s    
r   rV   Tr   F)		functoolstotal_orderingr   r   registerr   ZassertIsr@   r   )r   r   r@   rB   r   r   r   testBoolGuarateesBoolReturnE  s   z(FractionTest.testBoolGuarateesBoolReturnc                 C   s   |  tdttdd |  tdttdd |  tdttdd |  tddttd	d
d |  tddttdd
d d S )Ni8ijr[   i      rZ   r^   r   r   rV   i)rI   r   r   r*   r   r   r   	testRoundi  s
   "zFractionTest.testRoundc                 C   s  |  tddtddtdd  |  tddtddtdd  |  tddtddtdd  |  tddtddtdd	  |  tdd	tddtdd  |  td
dtdd	tdd  | dtddtdd  | dtddtd  |  tddtddtdd  |  tddtddtdd  |  tdtddfttddtdd |  tdtddfttddtdd |  tddtddtd  |  tddtddtd  | dtd	tdd  |  tddtdd
  ttdtdd}| |jd |  |jd tddd }|  |tdd |  |jd |  |j	d tddd }|  |tdd |  |jd |  |j	d tddd }|  |td	d |  |jd	 |  |j	d d S )NrV   r\   r^   r]   r|      r   rY   r   r      r[   re   r`   rW   r             @rZ   r   )
rE   r   rI   divmodpowr   realimagr@   rA   )r   zpr   r   r   testArithmeticp  s>   """""""",,  zFractionTest.testArithmeticc              	   C   s^  |  tddtdd d dtddd d   |  tddtd	d
  dtdd	d
   | dtddfttdd d dtddd d  |  d	d  d td	d
  dtdd	d
   |  dtdd	d
 tdd	d
   |  dtd	d	d
 fttdd	d
 tdd	d
  | d	d  d tddfttd	d
  dtdd	d
  d S )Nl     b;efOpUmnP|} l   ~Jw5PHyT#/jei4T r^   #   rV   l     P ~cegrW   l                r\   r   rY   r]   l   _rx   r_   )rI   r   rL   r   r*   r   r   r   testLargeArithmetic  sH   "$z FractionTest.testLargeArithmeticc                 C   s  |  tddtddd  |  dtddd  |  dtddd  |  tdddtdd  |  ddtdd  |  ddtdd  |  tddtddd  |  d	tddd  |  d
tddd  |  tdddtdd  |  ddtdd  |  ddtdd  |  tddtddd  |  dtddd  |  dtddd  |  tdddtdd  |  ddtdd  |  ddtdd  |  tddtddd  |  dtddd  |  dtddd  |  tdddtdd  |  ddtdd  |  ddtdd  |  dtddd  |  dtddd  |  ddtdd  |  ddtdd  |  ddtdd  |  tddtddd  |  dtddd  |  tdddtdd  |  ddtdd  |  dtddtd  |  tdtddtd  |  tdtddtd  |  dtddtd  | dtddfttddd | tddttddd | dtdftdtdd | tddtdtdd | tdtdttddtd | tdtdttddtd | tdtdttddtd | tdtdttddtd |  tddtddd  |  tddtddd  |  dtddd  |  dtddd  |  ddtdd  tdtdd}| d|j | d|j	 |  tdddtdd  |  d dtdd  |  d!d tdd  |  ddtdd  | 
ttjtddd d S )"Nrb   r^   rV   g?g      ?y?        y      ?        rc   gy        re   g?y?        rq   r   r   y      $@        r           r`   l     d&O!g      "@g?rs   rt   rZ   gr   r[   r\   r   r   g      ?)rI   r   r
   rL   r   r   r   r   rE   r   rl   rk   r   )r   r   r   r   r   testMixedArithmetic  sx   " &&&&

z FractionTest.testMixedArithmeticc                 C   s<   |  ttjtddtd |  ttjtdtdd d S )NrY   rb   z	3.1415926)rl   r   r   addr   r   r*   r   r   r   testMixingWithDecimal  s   

z"FractionTest.testMixingWithDecimalc                 C   s   |  tddtddk  | tddtddk  |  tddtddk |  tddtddk | tddtddk |  tddtddk | tddtddk | tddtddk |  tddtddk d S )NrV   r\   rY   )
assertTruer   assertFalser*   r   r   r   testComparisons   s   zFractionTest.testComparisonsc                 C   s  |  tddtddk |  tddtddk | tddtddk | tddtddk |  tddtddk  | tddtddk  | tddtddk  | tddtddk | tddtddk |  tddtddk |  tddtddk |  tddtddk | tddtddk | tddtddk |  tddtddk |  tddtddk |  tddtddk  | tddtddk  | tddtddk  | tddtddk | tddtddk |  tddtddk |  tddtddk |  tddtddk | tddtddk | tddtddk |  tddtddk |  tddtddk d S )NrV   r\   rY   r   rW   )r   r   r3   r   r*   r   r   r   testComparisonsDummyRational  s8   z)FractionTest.testComparisonsDummyRationalc                 C   s   t d}tdd}| ||k | ||k p||k | ||k | ||ko+||k | ||k | ||k p=||k | ||k | ||koO||k d S )NgUUUUUU?rV   rY   )r   r   r   r   )r   xyr   r   r   testComparisonsDummyFloat+  s   
z&FractionTest.testComparisonsDummyFloatc                 C   s4  |  dtddk  | dtddk  |  tdddk  | tdddk  |  tdddk  | tdddk  |  dtddk  | dtddk  | td	tddk  |  td
tddk  | tdtddk  |  tddtd	k  | tddtd
k  | tddtdk  d S )Nr\   r]   r   rY   rV   333333?皙?      ?rs   rt   r   r^   rr   r|   rW      ri      r   r   r   r
   r*   r   r   r   testMixedLess7  s   zFractionTest.testMixedLessc                 C   s4  |  dtddk | dtddk |  tdddk | tdddk |  dtddk | dtddk |  tdddk | tdddk | td	tddk |  td
tddk | tdtddk |  tddtd	k | tddtd
k | tddtdk d S )Nr   rV   r\   r   r   r   rY   r]   rs   rt   r   r^   rr   r|   rW   r   ri   r   r   r   r*   r   r   r   testMixedLessEqualI  s   zFractionTest.testMixedLessEqualc                 C   s   |  tdtdk |  dtttdd k  | dttdd k  |  dttdd k | dttdd k |  dttdd k d S )Nr`   r   rV   )r   r   r
   r4   r   r   r*   r   r   r   testBigFloatComparisonsZ  s     z$FractionTest.testBigFloatComparisonsc                 C   s   |  tdtdk | ttjtdtd | ttjtdtd tdd}tdd}tdd}| ||k |  ||k |  ||k | ||k tj	tjtjtj
fD ]"}| t||| | t||| | t||| | t||| qZd S )Nr`   rY   r   g      ?r   g?)r   r   r   rl   r   r   r'   r!   r   r#   r%   )r   r   r   wr   r   r   r   testBigComplexComparisonsd  s    


z&FractionTest.testBigComplexComparisonsc                 C   s  |  dtddk | dtddk |  tdddk | tdddk |  dtddk | dtddk |  tdddk | tdddk | tddtd	k | td	tdd
k | tddtdk | tdtddk d S )Nr   rV   r\   r   r   r   rY   r]   rr   rW   rs   rt   r   r*   r   r   r   testMixedEqualv  s   zFractionTest.testMixedEqualc                 C   sp   |  dttdd |  dttd |  dttdd |  d	ttdd |  d
ttdd d S )NzFraction(7, 3)rW   rY   z Fraction(6283185307, 2000000000)z3.1415926535z#Fraction(-1, 100000000000000000000)rV   l   Fx:^V z7/37)rE   reprr   rM   r*   r   r   r   testStringification  s   
z FractionTest.testStringificationc                 C   s   t jj}t jj}| tdttdd | tdd ttdd  | ttdttd | |ttd| | ttdtd	  d S )	Nrn   r]   r\   r^   2   r`   rV   rZ   )
sys	hash_infomodulusrs   rE   hashr   r   r
   __hash__)r   ZhmodZhinfr   r   r   testHash  s     zFractionTest.testHashc           	      C   s   t d}d|dddddf\}}}}}}}t|| t ddkrH|}|| |d }}|| |d }}|| | }||7 }t|| t ddks| tj| d S )NrY   r   rV       ʚ;r       )r   absr   r4   pi)	r   ZthreelaststsnZnaddar   r   r   testApproximatePi  s    zFractionTest.testApproximatePic                 C   s   t d}ddt ddddf\}}}}}}t|| t ddkrJ|}|d7 }|||d  9 }||| 9 }|d9 }||| | 7 }t|| t ddks| td| d S )NrV   r   r   r\   rZ   )r   r   r   r4   cos)r   r   r   r   r   Zfactr6   signr   r   r   testApproximateCos1  s    z FractionTest.testApproximateCos1c                 C   s   t dd}tdd}| |tt| | t|tt| | t|tt| | t|tt| | t|tt| | 	|t| | 	|t| d S )Nr}   rW   )
r   r?   rE   r   r   idr   r   r   rI   )r   rB   Zdrr   r   r   test_copy_deepcopy_pickle  s   

z&FractionTest.test_copy_deepcopy_picklec                 C   s    t dd}| tt|dd d S )Nr}   rW   ar^   )r   rl   r   r   r   r   r   r   
test_slots  s   
zFractionTest.test_slotsc                 C   sh   G dd dt }t|d|d}| |jd | |jd | t|j| | t|j| d S )Nc                   @   s<   e Zd Zdd Zdd Zdd Zedd Zed	d
 ZdS )z-FractionTest.test_int_subclass.<locals>.myintc                 S   s   t | t| t| S r   rF   r   r   r   r   r   __mul__  r>   z5FractionTest.test_int_subclass.<locals>.myint.__mul__c                 S   s   t | t| t| S r   r   r   r   r   r   __floordiv__  r>   z:FractionTest.test_int_subclass.<locals>.myint.__floordiv__c                 S   s   t | t| t| }|S r   r   )r   r   r   r   r   r   __mod__  s   z5FractionTest.test_int_subclass.<locals>.myint.__mod__c                 S   s   t | t| S r   r   r*   r   r   r   r@     s   z7FractionTest.test_int_subclass.<locals>.myint.numeratorc                 S   s   t | dS )NrV   )rF   r*   r   r   r   rA     s   z9FractionTest.test_int_subclass.<locals>.myint.denominatorN)	r.   r/   r0   r   r   r   r   r@   rA   r   r   r   r   myint  s    
r   rY   r   rV   r\   )r   r9   r:   rE   r@   rA   rF   )r   r   fr   r   r   test_int_subclass  s   zFractionTest.test_int_subclassN)&r.   r/   r0   rI   rL   rT   rm   r   rw   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   r   r   r   r   r   r   rD   Y   sH    


5$""E 
	rD   __main__)r1   Zdecimalr   Ztest.supportr   r4   r   r   r9   r   r   Zunittestr   r   pickler   r   r:   r   objectr   r3   r?   rC   ZTestCaserD   r.   mainr   r   r   r   <module>   s4           