a
    ze]v                     @   s   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re
  dS )    )Decimal)requires_IEEE_754N)copydeepcopy)dumpsloadsc                   @   sX   e 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 )
DummyFloatc                 C   s   t |tstd|| _d S )Nz-DummyFloat can only be initialized from float)
isinstancefloat	TypeErrorvalueselfr    r   )/usr/lib/python3.9/test/test_fractions.py__init__   s    
zDummyFloat.__init__c                 C   s>   t |tjr|t| j|S t |tr6|| j|jS tS d S N)r	   numbersRationalF
from_floatr   r   NotImplemented)r   otheropr   r   r   _richcmp   s
    
zDummyFloat._richcmpc                 C   s   |  |tjS r   )r   operatoreqr   r   r   r   r   __eq__!       zDummyFloat.__eq__c                 C   s   |  |tjS r   )r   r   ler   r   r   r   __le__"   r   zDummyFloat.__le__c                 C   s   |  |tjS r   )r   r   ltr   r   r   r   __lt__#   r   zDummyFloat.__lt__c                 C   s   |  |tjS r   )r   r   ger   r   r   r   __ge__$   r   zDummyFloat.__ge__c                 C   s   |  |tjS r   )r   r   gtr   r   r   r   __gt__%   r   zDummyFloat.__gt__c                 C   s   d S r   r   r   r   r   r   	__float__(   s    zDummyFloat.__float__c                 C   s   d S r   r   r   r   r   r   __sub__,   s    zDummyFloat.__sub__N)__name__
__module____qualname__r   r   r   r!   r#   r%   r'   r)   r*   __rsub__r   r   r   r   r      s   r   c                   @   sD   e Zd Zdd Zdd Zdd Zdd Zd	d
 Zdd Zdd Z	dS )DummyRationalc                 C   s$   t ||}|| | _|| | _d S r   )mathgcdnumden)r   r2   r3   gr   r   r   r   4   s    
zDummyRational.__init__c                 C   s,   t |tjr$| j|jko"| j|jkS tS d S r   )r	   	fractionsFractionr2   
_numeratorr3   _denominatorr   r   r   r   r   r   9   s
    
zDummyRational.__eq__c                 C   s   | j |j | j|j k S r   r2   r8   r3   r7   r   r   r   r   r#   @   s    zDummyRational.__lt__c                 C   s   | j |j | j|j kS r   r9   r   r   r   r   r'   C   s    zDummyRational.__gt__c                 C   s   | j |j | j|j kS r   r9   r   r   r   r   r!   F   s    zDummyRational.__le__c                 C   s   | j |j | j|j kS r   r9   r   r   r   r   r%   I   s    zDummyRational.__ge__c                 C   s   d S r   r   r(   r   r   r   r)   N   s    zDummyRational.__float__N)
r+   r,   r-   r   r   r#   r'   r!   r%   r)   r   r   r   r   r/   1   s   r/   c                   @   s   e Zd ZdS )DummyFractionN)r+   r,   r-   r   r   r   r   r:   Q   s   r:   c                 C   s   | j | jfS r   )	numeratordenominator)rr   r   r   _componentsU   s    r>   c                   @   s   e Zd Zdd Zdd Zdd Zdd Zed	d
 Zdd Z	dd Z
dd Zdd Zdd Zdd Zdd Zdd Zdd Zdd Zdd  Zd!d" Zd#d$ 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 r   )assertEqualtyper   Zexpectedactualr   r   r   assertTypedEquals[   s    zFractionTest.assertTypedEqualsc                 C   s0   |  || | ttt|ttt| d S r   )ZassertTupleEqualZassertListEquallistmaprA   rB   r   r   r   assertTypedTupleEquals`   s    z#FractionTest.assertTypedTupleEqualsc              
   O   s\   z||i | W n4 |yF } z|  |t| W Y d }~nd }~0 0 | d|j  d S )Nz%s not raised)r@   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      )   rQ   rR   rR      rT   )rQ   rU   rQ   )rQ   rQ   )rQ         
   )rR      rZ   )      m+?R rQ   r[   )rT   M      )rX   rW   	   )i	  i	     c  q   zFraction(12, 0)   r   y      ?      @3/2y                y              ?)r@   r>   r   rO   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)rX   rW         @rP          )   L33f l          皙?naninf-inf)r@   r>   r   rg   
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)r]   rY   z1.1)rR      z3.5e-2rP   z.000e20rm   snanrn   ro   )r@   r>   r   r   rg   rp   rq   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$ | td%td& | td'td( | td)td* | td+td, | td-td. d S )/N)rX   rQ   5)rT   rW   re   z 
  +3/2)rW   z-3/2  )   rW   z    013/02 
  )   rX   z 3.2 )irX   z -3.2 )rw   rQ   z -3. )rT   rX   z .6 )rQ   i5  z32.e-5)i@B rQ   z1E+06)irQ   z-1.23e4rP   z .0e+0	z-0.000e0zFraction(3, 0)z3/0z"Invalid literal for Fraction: '3/'z3/z"Invalid literal for Fraction: '/2'z/2z$Invalid literal for Fraction: '3 /2'z3 /2z$Invalid literal for Fraction: '3/+2'z3/+2z%Invalid literal for Fraction: '+ 3/2'z+ 3/2z#Invalid literal for Fraction: '3a2'Z3a2z%Invalid literal for Fraction: '3/7.2'z3/7.2z%Invalid literal for Fraction: '3.2/7'z3.2/7z!Invalid literal for Fraction: '.'.)r@   r>   r   rO   rf   rp   r(   r   r   r   testFromString   sl    zFractionTest.testFromStringc                 C   s   t dd}|dd | dt| | tt|dd | tt|dd	 | dt| d
|_d|_| dt| | 	t d
d| d S )NrR   rT   rW   rZ   rS   r;   rd   r<         )r}   rW   )
r   r   r@   r>   rg   AttributeErrorsetattrr7   r8   assertNotEqualr   r=   r   r   r   testImmutable   s    
zFractionTest.testImmutablec                 C   s*  |  ttjd | dttd d}| |dftt| | dttd | dttd | d	ttd
 | dttd | tdttd | dttd | dttd d}|| }| tdtj| | tdtj|  | t	dtj| d S )N      @      @)rY   rQ   rY   l   {C	 rQ   rP   rj         $@)rW   g      )l      l+?R rQ   J-Dr[   )rk   l           g	@g      (cannot convert Infinity to integer ratio#cannot convert NaN to integer ratio)
rg   r   r   r   r@   r>   r
   rO   rq   rp   )r   Zbigintrn   rm   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   rY   rQ   r   z-0rX   z0.5i  z5e-3i  Z5e3l       73Me'z 0.999999999999999999999999999999r   rn   ro   r   rm   rt   )	rg   r   r   Zfrom_decimalr@   r   rO   rq   rp   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|   )rW   rT   )rV   rT   ir   rP   )r@   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| qd S )Nz3.1415926535897932i'  rb   rc   ip   iM  j      rs   d   rQ   e   f   r   )r   rU   z$max_denominator should be at least 1)r   r@   Zlimit_denominatorrO   rp   )r   Zrpiir   r   r   testLimitDenominator  s    
z!FractionTest.testLimitDenominatorc                 C   sr  |  dttdd |  dttdd |  dttdd |  dttdd |  dttdd |  dttdd |  dttdd |  dttd	d |  dttd
d |  dttdd | dt	tdd | dt	tdd |  dt
tdd | tt
td | dt
ttdtd |  dttdd d S )NrU   irY   rQ   r]   rV   r_   r   r   FTrT   rW   rl   A  22222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222222227gUUUUUU?A  33333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333331?        )rD   r0   truncr   floorceilintroundr@   boolr
   rg   rq   assertAlmostEqualcomplexr(   r   r   r   testConversions-  s$    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>.CustomValuerQ   c                 S   s
   || _ d S r   )r   r   r   r   r   r   L  s    zFFractionTest.testBoolGuarateesBoolReturn.<locals>.CustomValue.__init__c                 S   s
   t | jS r   )r   r   r(   r   r   r   __bool__O  s    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d S )Nz&Avoid comparisons in Fraction.__bool__)AssertionErrorr   r   r   r   r   W  s    zDFractionTest.testBoolGuarateesBoolReturn.<locals>.CustomValue.__eq__N)
r+   r,   r-   r<   r   r   propertyr;   r   r#   r   r   r   r   CustomValueH  s   
r   rQ   Tr   F)		functoolstotal_orderingr   r   registerr   ZassertIsr;   r   )r   r   r;   r=   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 )Ni8ijrV   i      rU   rY   r   r   rQ   i)rD   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  | 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 )NrQ   rW   rY   rX   rw      r}   r`   r[   r|   rR   rT   r   rV                @rU   r   )
r@   r   rD   divmodpowr   realimagr;   r<   )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 rY   #   rQ   l     P ~cegrR   l                rW   r   rT   rX   l   _rs   rZ   )rD   r   rG   r   r(   r   r   r   testLargeArithmetic  sH    "$z FractionTest.testLargeArithmeticc                 C   s  |  tddtddd  |  dtddd  |  dtddd  |  tdddtdd  |  ddtdd  |  ddtdd  |  tddtddd  |  d	tddd  |  d
tddd  |  tdddtdd  |  ddtdd  |  ddtdd  |  tddtddd  |  dtddd  |  dtddd  |  tdddtdd  |  ddtdd  |  ddtdd  |  tddtddd  |  dtddd  |  dtddd  |  tdddtdd  |  ddtdd  |  ddtdd  |  dtddd  |  dtddd  |  ddtdd  |  ddtdd  |  ddtdd  |  tddtddd  |  dtddd  |  tdddtdd  |  ddtdd  |  dtddtd  |  tdtddtd  |  tdtddtd  |  dtddtd  | dtddfttddd | tddttddd | dtdftdtdd | tddtdtdd | tdtdttddtd | tdtdttddtd | tdtdttddtd | tdtdttddtd |  tddtddd  |  tddtddd  |  dtddd  |  dtddd  |  ddtdd  tdtdd}| d|j | d|j	 |  tdddtdd  |  d dtdd  |  d!d tdd  |  ddtdd  | 
ttjtddd d S )"Nr]   rY   rQ   g?g      ?y?        y      ?        r^   gy        r`   g?y?        rl   r   r   y      $@        r           r[   l     d&O!g      "@g?rn   ro   rU   gr   rV   rW   r}   r   g      ?)rD   r   r
   rG   r   r   r   r   r@   r   rg   rf   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 )NrT   r]   z	3.1415926)rg   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 )NrQ   rW   rT   )
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 )NrQ   rW   rT   r}   rR   )r   r   r/   r   r(   r   r   r   testComparisonsDummyRational	  s8    z)FractionTest.testComparisonsDummyRationalc                 C   s   t d}tdd}| ||k | ||k p2||k | ||k | ||koV||k | ||k | ||k pz||k | ||k | ||ko||k d S )NgUUUUUU?rQ   rT   )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 )NrW   rX   r}   rT   rQ   333333?皙?      ?rn   ro   r   rY   rm   rw   rR      rd      r   r   r   r
   r(   r   r   r   testMixedLess5  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   rQ   rW   r   r   r}   rT   rX   rn   ro   r   rY   rm   rw   rR   r   rd   r   r   r   r(   r   r   r   testMixedLessEqualG  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   rQ   )r   r   r
   r0   r   r   r(   r   r   r   testBigFloatComparisonsX  s     z$FractionTest.testBigFloatComparisonsc                 C   s   |  tdtdk | ttjtdtd | ttjtdtd tdd}tdd}tdd}| ||k |  ||k |  ||k | ||k tj	tjtjtj
fD ]D}| t||| | t||| | t||| | t||| qd S )Nr[   rT   r   g      ?r   g?)r   r   r   rg   r   r   r&   r    r   r"   r$   )r   r   r   wr   r   r   r   testBigComplexComparisonsb  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   rQ   rW   r   r   r}   rT   rX   rm   rR   rn   ro   r   r(   r   r   r   testMixedEqualt  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)rR   rT   z Fraction(6283185307, 2000000000)z3.1415926535z#Fraction(-1, 100000000000000000000)rQ   l   Fx:^V z7/37)r@   reprr   rH   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 )	Nri   rX   rW   rY   2   r[   rQ   rU   )
sys	hash_infomodulusrn   r@   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r||}|| |d  }}|| |d  }}|| | }||7 }q(| tj| d S )NrT   r   rQ       ʚ;r       )r   absr   r0   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r|}|d7 }|||d  9 }||| 9 }|d9 }||| | 7 }q(| td| d S )NrQ   r   r   rW   rU   )r   r   r   r0   cos)r   r   r   r   r   Zfactr2   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 )Nrx   rR   )
r   r:   r@   r   r   idr   r   r   rD   )r   r=   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 )Nrx   rR   arY   )r   rg   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   rA   r   r   r   r   r   __mul__  s    z5FractionTest.test_int_subclass.<locals>.myint.__mul__c                 S   s   t | t| t| S r   r   r   r   r   r   __floordiv__  s    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 )NrQ   )rA   r(   r   r   r   r<     s    z9FractionTest.test_int_subclass.<locals>.myint.denominatorN)	r+   r,   r-   r   r   r   r   r;   r<   r   r   r   r   myint  s   
r   rT   r|   rQ   rW   )r   r5   r6   r@   r;   r<   rA   )r   r   fr   r   r   test_int_subclass  s    zFractionTest.test_int_subclassN)&r+   r,   r-   rD   rG   rO   rh   r   rr   ru   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   r?   Y   sF   


5$ "E 
	r?   __main__)decimalr   Ztest.supportr   r0   r   r   r5   r   r   Zunittestr   r   pickler   r   r6   r   objectr   r/   r:   r>   ZTestCaser?   r+   mainr   r   r   r   <module>   s.          