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� z fc @ s� d d l m Z 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 Z e d � Z e d � Z e d � Z e j e j d � j d � d � Z d d f \ Z Z e e d d k Z e d k r� e j d Z n e Z e j j e � p e j Z e j j e d � Z e j j e d � Z d � Z d d � Z! d d d � Z" d � Z# d � Z$ d e j% f d � � YZ& d � Z' e d k r�e' � n d S( i����( t run_unittestt verboseNg�h㈵��>t nant infs -inft doublet IEEEs test requires IEEE 754 doublesg ��7y�ACg�):��@i t __main__i s math_testcases.txts cmath_testcases.txtc C s@ t j d t j d | � � d } | d k r< | d } n | S( sV Convert a non-NaN float x to an integer, in such a way that adjacent floats are converted to adjacent integers. Then abs(ulps(x) - ulps(y)) gives the difference in ulps between two floats. The results from this function will only make sense on platforms where C doubles are represented in IEEE 754 binary64 format. s <qs <di i i? l ( t structt unpackt pack( t xt n( ( s& /usr/lib64/python2.7/test/test_math.pyt to_ulps$ s " i c C s< t | � t | � } t | � | k r, d Sd j | | � S( s� Given non-NaN floats `expected` and `got`, check that they're equal to within the given number of ulps. Returns None on success and an error message on failure.s* error = {} ulps; permitted error = {} ulpsN( R t abst Nonet format( t expectedt gott ulpst ulps_error( ( s& /usr/lib64/python2.7/test/test_math.pyt ulps_check3 s gV瞯�<g c C sh t j | � r | | k r d S| | } t | | t | � � } t | � | k rX d Sd j | | � S( s Determine whether non-NaN floats a and b are equal to within a (small) rounding error. The default values for rel_err and abs_err are chosen to be suitable for platforms where a float is represented by an IEEE 754 double. They allow an error of between 9 and 19 ulps.s error = {}; permitted error = {}N( t matht isinfR t maxR R ( R R t rel_errt abs_errt errort permitted_error( ( s& /usr/lib64/python2.7/test/test_math.pyt acc_check? s c c s� t | � �� } x� | D]� } d | k r> | | j d � } n | j � sP q n | j d � \ } } | j � \ } } } | j � } | d } | d } | | t | � t | � | f Vq WWd QXd S( s� Parse a file with test values -- starts a comment blank lines, or lines containing only a comment, are ignored other lines are expected to have the form id fn arg -> expected [flag]* s --s ->i i N( t opent indext stript splitt float( t fnamet fpt linet lhst rhst idt fnt argt rhs_piecest expt flags( ( s& /usr/lib64/python2.7/test/test_math.pyt parse_mtestfileR s c c s� t | � �� } x� | D]� } | j d � s | j � r> q n | j d � \ } } | j � \ } } } } | j � } | d | d } } | d } | | t | � t | � t | � t | � | f Vq WWd QXd S( s� Parse a file with test values Empty lines or lines starting with -- are ignored yields id, fn, arg_real, arg_imag, exp_real, exp_imag s --s ->i i i N( R t startswithR R R! ( R" R# R$ R% R& R' R( t arg_realt arg_imagR* t exp_realt exp_imagR, ( ( s& /usr/lib64/python2.7/test/test_math.pyt parse_testfilek s t MathTestsc B s� e Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z e d � � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z e e j e d � d � � � Z d � Z d � Z d � Z d � Z d � Z d � Z d � Z! d � Z" d � Z# d � Z$ d � Z% d! � Z& d" � Z' d# � Z( d$ � Z) d% � Z* e j+ e, d& � d' � � Z- e d( � � Z. e j+ e/ j0 d) � j1 d* � d+ � d, � � Z2 RS(- c C s7 t | | � t k r3 | j d | | | f � n d S( Ns %s returned %r, expected %r( R t epst fail( t selft namet valueR ( ( s& /usr/lib64/python2.7/test/test_math.pyt ftest� s c C s0 | j d t j d � | j d t j d � d S( Nt pigJ�M�! @t egB� �@( R: R R; R< ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testConstants� s c C s� | j t t j � | j d t j d � t j � | j d t j d � t j d � | j d t j d � d � | j t t j t � | j t t j t � | j t j t j t � � � d S( Ns acos(-1)i����s acos(0)i i s acos(1)i ( t assertRaisest TypeErrorR t acosR: R; t ValueErrort INFt NINFt assertTruet isnant NAN( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testAcos� s # c C s� | j t t j � | j d t j d � d � | j d t j d � d � | j t t j d � | j t t j d � | j t j t � t � | j t t j t � | j t j t j t � � � d S( Ns acosh(1)i i s acosh(2)i g5�qB�?i����( R> R? R t acoshR: RA t assertEqualRB RC RD RE RF ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testAcosh� s c C s� | j t t j � | j d t j d � t j d � | j d t j d � d � | j d t j d � t j d � | j t t j t � | j t t j t � | j t j t j t � � � d S( Ns asin(-1)i����i s asin(0)i s asin(1)i ( R> R? R t asinR: R; RA RB RC RD RE RF ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testAsin� s $ #c C s� | j t t j � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j t j t � t � | j t j t � t � | j t j t j t � � � d S( Ns asinh(0)i s asinh(1)i g'�ya64�?s asinh(-1)i����g'�ya64�( R> R? R t asinhR: RI RB RC RD RE RF ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testAsinh� s c C s� | j t t j � | j d t j d � t j d � | j d t j d � d � | j d t j d � t j d � | j d t j t � t j d � | j d t j t � t j d � | j t j t j t � � � d S( Ns atan(-1)i����i s atan(0)i s atan(1)i s atan(inf)i s atan(-inf)( R> R? R t atanR: R; RB RC RD RE RF ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testAtan� s $ ##$c C s� | j t t j � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j t t j d � | j t t j d � | j t t j t � | j t t j t � | j t j t j t � � � d S( Ns atanh(0)i s atanh(0.5)g �?g �z��?s atanh(-0.5)g �g �z��i i����( R> R? R RO R: t atanhRA RB RC RD RE RF ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testAtanh� s c C s� | j t t j � | j d t j d d � t j d � | j d t j d d � t j d � | j d t j d d � d � | j d t j d d � t j d � | j d t j d d � t j d � | j d t j d t � t j � | j d t j d d � t j � | j d t j d d � t j � | j t j d d � d � | j t j d d � d � | j t j d t � d � | j t j t j d t � � � | j d t j d t � t j � | j d t j d d � t j � | j d t j d d � t j � | j t j d d � d � | j t j d d � d � | j t j d t � d � | j t j t j d t � � � | j d t j t t � t j d d � | j d t j t d � t j d � | j d t j t d � t j d � | j d t j t d � t j d � | j d t j t d � t j d � | j d t j t t � t j d � | j t j t j t t � � � | j d t j t t � t j d d � | j d t j t d � t j d � | j d t j t d � t j d � | j d t j t d � t j d � | j d t j t d � t j d � | j d! t j t t � t j d � | j t j t j t t � � � | j d" t j d t � t j � | j d# t j d d � t j d � | j d$ t j d d � t j d � | j t j d t � d � | j t j t j d t � � � | j d% t j d t � t j � | j d& t j d d � t j d � | j d' t j d d � t j d � | j t j d t � d � | j t j t j d t � � � | j t j t j t t � � � | j t j t j t d � � � | j t j t j t d � � � | j t j t j t d � � � | j t j t j t d � � � | j t j t j t t � � � | j t j t j t t � � � d S(( Ns atan2(-1, 0)i����i i s atan2(-1, 1)i i s atan2(0, 1)s atan2(1, 1)s atan2(1, 0)s atan2(0., -inf)g s atan2(0., -2.3)gffffff�s atan2(0., -0.)g �gffffff@s atan2(-0., -inf)s atan2(-0., -2.3)s atan2(-0., -0.)s atan2(inf, -inf)i s atan2(inf, -2.3)s atan2(inf, -0.)s atan2(inf, 0.)s atan2(inf, 2.3)s atan2(inf, inf)s atan2(-inf, -inf)s atan2(-inf, -2.3)s atan2(-inf, -0.)s atan2(-inf, 0.)s atan2(-inf, 2.3)s atan2(-inf, inf)s atan2(2.3, -inf)s atan2(2.3, -0.)s atan2(2.3, 0.)s atan2(-2.3, -inf)s atan2(-2.3, -0.)s atan2(-2.3, 0.)( R> R? R t atan2R: R; RC RI RB RD RE RF ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testAtan2� sf '' &&""" "### "*&&&&&"+'''''""&& "#'' """""""c C s | j t t j � | j t t t j d � � � | j t t t j d � � � | j t t t j d � � � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j t j t � t � | j t j t � t � | j t j t j t � � � d t f d � � Y} d t f d � � Y} | j d t j | � � d � | j t t j | � � | � } d � | _ | j t t j | � | j t t j | d � d S( Ni l g �?s ceil(0.5)g �?s ceil(1.0)s ceil(1.5)g �?i s ceil(-0.5)g �i s ceil(-1.0)g �i����s ceil(-1.5)g ��t TestCeilc B s e Z d � Z RS( c S s d S( Ngfffff�D@( ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt __float__ s ( t __name__t __module__RV ( ( ( s& /usr/lib64/python2.7/test/test_math.pyRU s t TestNoCeilc B s e Z RS( ( RW RX ( ( ( s& /usr/lib64/python2.7/test/test_math.pyRY s s ceil(TestCeil())i* c W s | S( N( ( t args( ( s& /usr/lib64/python2.7/test/test_math.pyt <lambda>! t ( R> R? R t ceilRI R! t typeR: RB RC RD RE RF t objectt __ceil__( R7 RU RY t t( ( s& /usr/lib64/python2.7/test/test_math.pyt testCeil s* c C s� | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t t j � | j t j d d � d � | j t j d d � d � | j t j t d � t � | j t j t d � t � | j t j t d � t � | j t j t d � t � | j t j d t � d � | j t j d t � d � | j t j t t � t � | j t j t t � t � | j t j t t � t � | j t j t t � t � | j t j t j t d � � � | j t j t j t t � � � | j t j t j t t � � � | j t j t j t t � � � | j t j t j t t � � � | j t t j d t � � d � d S( Ni i* g �?g i���g �i g @g @g �g �g @( RI R t copysignR> R? RB RC RD RE RF R R ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testCopysign% s0 """""c C s: | j t t j � | j d t j t j d � d � | j d t j d � d � | j d t j t j d � d � | j d t j t j � d � yB | j t j t j t � � � | j t j t j t � � � Wn= t k r| j t t j t � | j t t j t � n X| j t j t j t � � � d S( Ns cos(-pi/2)i i s cos(0)i s cos(pi/2)s cos(pi)i����( R> R? R t cosR: R; RD RE RB RC RA RF ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testCosG s $ # # c C s� | j t t j � | j d t j d � d � | j d t j d � d t j d � d d � | j t j t � t � | j t j t � t � | j t j t j t � � � d S( Ns cosh(0)i i s cosh(2)-2*cosh(1)**2i i����( R> R? R t coshR: RI RB RC RD RE RF ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testCoshU s 1c C s} | j t t j � | j d t j t j � d � | j d t j t j d � d � | j d t j t j d � d � d S( Ns degrees(pi)g �f@s degrees(pi/2)i g �V@s degrees(-pi/4)i g �F�( R> R? R t degreesR: R; ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testDegrees] s #c C s� | j t t j � | j d t j d � d t j � | j d t j d � d � | j d t j d � t j � | j t j t � t � | j t j t � d � | j t j t j t � � � d S( Ns exp(-1)i����i s exp(0)i s exp(1)g ( R> R? R R+ R: R< RI RB RC RD RE RF ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testExpc s # c C sk | j t t j � | j d t j d � d � | j d t j d � d � | j d t j d � d � d S( Ns fabs(-1)i����i s fabs(0)i s fabs(1)( R> R? R t fabsR: ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testFabsl s c C s� d � } t d � d d d g } t j | � xh | D]` } xW t t t f D]F } | j t j | | � � | | � | | | � t j | � f � qL Wq6 W| j t t j d � | j t t j t j � d S( Nc S s8 d } x+ t d t | � d � D] } | | 9} q W| S( Ni ( t ranget int( R t resultt i( ( s& /usr/lib64/python2.7/test/test_math.pyt facts s i i2 id i� i����( Rn t randomt shuffleRo t longR! RI R t factorialR> RA R; ( R7 Rr t valuesR t cast( ( s& /usr/lib64/python2.7/test/test_math.pyt testFactorialr s Hc C sM | j t t j � | j t t t j d � � � | j t t t j d � � � | j t t t j d � � � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j t j t � t � | j t j t � t � | j t j t j t � � � d t f d � � Y} d t f d � � Y} | j d t j | � � d � | j t t j | � � | � } d � | _ | j t t j | � | j t t j | d � d S( Ni l g �?s floor(0.5)g �?i s floor(1.0)s floor(1.5)g �?s floor(-0.5)g �i����s floor(-1.0)g �s floor(-1.5)g ��i����s floor(1.23e167)g��Nݯ�bs floor(-1.23e167)g��Nݯ��t TestFloorc B s e Z d � Z RS( c S s d S( Ngfffff&E@( ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyRV � s ( RW RX RV ( ( ( s& /usr/lib64/python2.7/test/test_math.pyRz � s t TestNoFloorc B s e Z RS( ( RW RX ( ( ( s& /usr/lib64/python2.7/test/test_math.pyR{ � s s floor(TestFloor())i* c W s | S( N( ( RZ ( ( s& /usr/lib64/python2.7/test/test_math.pyR[ � R\ ( R> R? R t floorRI R! R^ R: R] RB RC RD RE RF R_ t __floor__( R7 Rz R{ Ra ( ( s& /usr/lib64/python2.7/test/test_math.pyt testFloor� s. c C sC | j t t j � | j d t j d d � d � | j d t j d d � d � | j d t j d d � d � | j d t j d d � d � | j d t j d d � d � | j d t j d d � d � | j t j t j t d � � � | j t j t j d t � � � | j t j t j t t � � � | j t t j d d � | j t t j t d � | j t t j t d � | j t t j t d � | j t j d t � d � | j t j d t � d � | j t j d t � d � | j t j d t � d � | j t j d d � d � | j t j d t � d � d S( Ns fmod(10,1)i i i s fmod(10,0.5)g �?s fmod(10,1.5)g �?s fmod(-10,1)i����s fmod(-10,0.5)s fmod(-10,1.5)i����g �?g g @g �( R> R? R t fmodR: RD RE RF RA RB RC RI ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testFmod� s( """ c s� � j t t j � � f d � } | d t j d � d � | d t j d � d � | d t j d � d � | d t j d � d � � j t j t � d t � � j t j t � d t � � j t j t j t � d � � d S( Nc sh | | \ } } \ } } t | | � t k s; | | k rd � j d | | | f | | f f � n d S( Ns %s returned %r, expected %r( R R5 R6 ( R8 Rp R t mantR+ t emantt eexp( R7 ( s& /usr/lib64/python2.7/test/test_math.pyt testfrexp� s " s frexp(-1)i����g �i s frexp(0)i s frexp(1)g �?s frexp(2)i ( g �i ( i i ( g �?i ( g �?i ( R> R? R t frexpRI RB RC RD RE RF ( R7 R� ( ( R7 s& /usr/lib64/python2.7/test/test_math.pyt testFrexp� s s2 fsum is not exact on machines with double roundingc sR d d l m } | j � | j � � � � f d � } g d f d g d f d d d d d d d g d f d1 d d3 g d5 f d6 d d7 g d9 f d; d d< g d> f d@ d dA g dC f g t d d � D] } d | ^ q� t j d � f g t d d � D] } d | | ^ q� t j d � f g t d � D] } d | d d | ^ q(dE g d f d d d g d f dF d dG dI d dJ g d f g t d d! d" � D]( } d | d | d# d | d$ ^ q�dL g t j d& � f g } x� t | � D]� \ } \ } } y t j | � } WnU t k r=| j d' | | | f � n+ t k rg| j d( | | | f � n X| j | | � q�Wd d) l m } m } m } x� t d � D]� } d* d d+ d d, d- g d. } d/ } xE t d0 � D]7 } | d/ | � � d* | } | | 7} | j | � q�W| | � | | � } | j | | � t j | � � q�Wd S(M Ni����( t float_infoc s" d \ } } x� | D]y } t j | � \ } } t t j | � � � | � } } | | k rt | | | K} | } n | | | K} | | 7} q Wt t t t | � � � d � � | � } | d k rd | d >} | d | t | | @o� | d | d @� } | | 7} n t j | | � S( s� Full precision summation. Compute sum(iterable) without any intermediate accumulation of error. Based on the 'lsum' function at http://code.activestate.com/recipes/393090/ i i i i ( i i ( R R� Ro t ldexpR t lent binR t bool( t iterablet tmantt texpR R� R+ t tailt h( t etinyt mant_dig( s& /usr/lib64/python2.7/test/test_math.pyt msum� s # - . g g}Ô%�I�Tg �?g}Ô%�I��g0��.�++g�d~�QJg �g�d~�Q�g @i5 g �i���i����g $@g (@g @g �?g @i i� s 0x1.df11f45f4e61ap+2s -0x1.62a2af1bd3624p-1i� g333333�?g ��7y�ACg��ؗ�Ҝ<g��7y�ACi���i���i� i i2 i4 i� s 0x1.5555555555555p+970sD test %d failed: got OverflowError, expected %r for math.fsum(%.100r)sA test %d failed: got ValueError, expected %r for math.fsum(%.100r)( Rs t gaussRt i i����gh�$.5���g#B� ���;i i i� g @Cg �<g ��g @Cg������?Cg @Cg �9g @Cg @Cg @Cg @Cg �9g @Cg @Cg @Cg������?Cg �<g @Cg������?Cg����-�og����-��g��7y�ACg �<g��7y�ACg��7y�A�g �<g �g �( t sysR� R� t min_expRn R! t fromhext enumerateR t fsumt OverflowErrorR6 RA RI Rs R� Rt t xranget append( R7 R� R� R Rq t test_valuest valsR t actualRs R� Rt t jt st v( ( R� R� s& /usr/lib64/python2.7/test/test_math.pyt testFsum� sT #'9 > c C s | j t t j � | j d t j d d � d � | j d t j d d � d � | j t j t t � t � | j t j t t � t � | j t j t t � t � | j t j t t � t � | j t j t j d t � � � | j t j t j t d � � � d S( Ns hypot(0,0)i s hypot(3,4)i i i g �?g �( R> R? R t hypotR: RI RF RB RC RD RE ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testHypot$ s "c C s | j t t j � | j d t j d d � d � | j d t j d d � d � | j d t j d d � d � | j d t j d d � d � | j t t j d d � | j t t j d d � | j t j d d � d � | j t j d d � d � | j t j t d � t � | j t j t d � t � | j t j t j t d � � � x�d d d d d d g D]�} | j t j t | � t � | j t j t | � t � | j t j d | � d � | j t j d | � d � | j t j d | � d � | j t j d | � d � | j t j t j t | � � � | j t t j d | � | j t t j d | � | j t j d | � d � | j t j d | � d � | j t j t | � t � | j t j t | � t � | j t j t j t | � � � qlWd S( Ns ldexp(0,1)i i s ldexp(1,1)i s ldexp(1,-1)i����g �?s ldexp(-1,1)i����g �?i@B g �i���g g �i i+���i i l i i( i�� l � I � T l d( l F�x:^V l �O�z��p�c ( R> R? R R� R: R� RI RB RC RD RE RF ( R7 R ( ( s& /usr/lib64/python2.7/test/test_math.pyt testLdexp/ s6 " # c C sb | j t t j � | j d t j d t j � d � | j d t j d � d � | j d t j t j � d � | j d t j d d � d � | j d t j d d � d � | j d t j d d � d � | j t j t � t � | j t t j t � | j t j t j t � � � x? t d d � D]. } | j t j | � t j t | � � � q,Wd S( Ns log(1/e)i i����s log(1)i s log(e)s log(32,2)i i i s log(10**40, 10)i i( s log(10**40, 10**20)i i� l �O�z��p�c l �O�z��p�c l F�x:^V ( R> R? R t logR: R< RI RB RA RC RD RE RF Rn Ru ( R7 R ( ( s& /usr/lib64/python2.7/test/test_math.pyt testLogO s # c C s7 | j t t j � | j d t j d t j d � d � | j d t j d � d � | j d t j t j d � d � | j d t j d � t j d � � | j t j t � t � | j t t j t � | j t j t j t � � � d } | j t j | � d � | j t j | � t j t | � � � d S( Ns log1p(1/e -1)i i����s log1p(0)i s log1p(e-1)s log1p(1)i iZ gx�61O@l ( R> R? R t log1pR: R< R� RI RB RA RC RD RE RF t assertAlmostEqualR! ( R7 R ( ( s& /usr/lib64/python2.7/test/test_math.pyt testLog1p^ s ' #% c C s� | j t t j � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j t j t � t � | j t t j t � | j t j t j t � � � x? t d d � D]. } | j t j | � t j t | � � � q� Wd S( Ns log10(0.1)g�������?i����s log10(1)i i s log10(10)i i� ( R> R? R t log10R: RI R� RB RA RC RD RE RF Rn Ru ( R7 R ( ( s& /usr/lib64/python2.7/test/test_math.pyt testLog10k s c s� � j t t j � � f d � } | d t j d � d � | d t j d � d � � j t j t � d t f � � j t j t � d t f � t j t � } � j t j | d � � � j t j | d � � d S( Nc sl | | \ } } \ } } t | | � t k s? t | | � rh � j d | | | f | | f f � n d S( Ns %s returned %r, expected %r( R R5 R6 ( R8 Rp R t v1t v2t e1t e2( R7 ( s& /usr/lib64/python2.7/test/test_math.pyt testmodfz s & s modf(1.5)g �?g �?g �?s modf(-1.5)g ��g �g �g g �i i ( g �?g �?( g �g �( R> R? R t modfRI RB RC RF RD RE ( R7 R� t modf_nan( ( R7 s& /usr/lib64/python2.7/test/test_math.pyt testModfw s c C s� | j t t j � | j d t j d d � d � | j d t j d d � d � | j d t j d d � d � | j d t j d d � d � | j t j t d � t � | j t j t d � t � | j t j d t � d � | j t j d t � d � | j t j t j t d � � � | j t j t j d t � � � | j t j t j d t � � � | j t j d t � d � | j t j d t � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t t j d d � | j t t j d d � | j t t j d d � | j t t j d t � | j t j t j d t � � � | j t j t t � t � | j t j t d � t � | j t j t d � t � | j t j t d � t � | j t j t d � d � | j t j t d � d � | j t j t d � d � | j t j t d � d � | j t j t d � d � | j t j t t � d � | j t j t j t t � � � | j t j d t � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t t j d d � | j t t j d d � | j t t j d d � | j t t j d t � | j t j t j d t � � � | j t j t t � t � | j t j t d � t � | j t j t d � t � | j t j t d � t � | j t j t d � d � | j t j t d � d � | j t j t d � d � | j t j t d � d � | j t j t d � d � | j t j t t � d � | j t j t j t t � � � | j t j d t � d � | j t j d d � d � | j t t j d d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t t j d d � | j t j d d � d � | j t j d t � d � | j t j t j d t � � � | j t j d t � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t j d d � d � | j t j d t � d � | j t j d t � d � | j t j d d � d � | j t j d d � d � | j t j t d � d � | j t j d d � d � | j t j d d � d � | j t j t d � d � | j t t j d d � | j t t j d d � | j t j d t � d � | j t j d t � d � | j t j d t � t � | j t j d t � t � | j t j d t � t � | j t j d t � t � | j t j d t � d � | j t j d t � d � | j t j d t � t � | j t j d t � t � | j t j d t � d � | j t j d t � d � | j t j d t � d � | j t j d t � d � | j t j d t � t � | j t j d t � t � | j d t j d d � d � | j d t j d d � d! � | j d" t j d d � d � | j d# t j d d � d � | j d$ t j d d � d � | j d% t j d d � d& � | j d' t j d d � d( � | j d) t j d d � d* � | j t t j d d& � | j t t j d d � d S(+ Ns pow(0,1)i i s pow(1,0)s pow(2,1)i s pow(2,-1)i����g �?g �?g g @gffffff@g @g �g �gffffff�g �g �g .�g�������gffffff�?g�������?g�������?g�������?g��������g�������g�������gffffff��s (-2.)**3.g �s (-2.)**2.g @s (-2.)**1.s (-2.)**0.s (-2.)**-0.s (-2.)**-1.g �s (-2.)**-2.g �?s (-2.)**-3.g ��( R> R? R t powR: RI RB RC RD RE RF RA ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testPow� s� """ " " " " " c C s} | j t t j � | j d t j d � t j � | j d t j d � t j d � | j d t j d � t j d � d S( Ns radians(180)i� s radians(90)iZ i s radians(-45)i���i ( R> R? R t radiansR: R; ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testRadians s #c C s | j t t j � | j d t j d � d � | j d t j t j d � d � | j d t j t j d � d � yB | j t j t j t � � � | j t j t j t � � � Wn= t k r� | j t t j t � | j t t j t � n X| j t j t j t � � � d S( Ns sin(0)i s sin(pi/2)i i s sin(-pi/2)i����( R> R? R t sinR: R; RD RE RB RC RA RF ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testSin% s #$ # c C s� | j t t j � | j d t j d � d � | j d t j d � d t j d � d d � | j d t j d � t j d � d � | j t j t � t � | j t j t � t � | j t j t j t � � � d S( Ns sinh(0)i s sinh(1)**2-cosh(1)**2i i i����s sinh(1)+sinh(-1)( R> R? R t sinhR: Rg RI RB RC RD RE RF ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testSinh2 s 1)c C s� | j t t j � | j d t j d � d � | j d t j d � d � | j d t j d � d � | j t j t � t � | j t t j t � | j t j t j t � � � d S( Ns sqrt(0)i s sqrt(1)i s sqrt(4)i i ( R> R? R t sqrtR: RI RB RA RC RD RE RF ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testSqrt; s c C s | j t t j � | j d t j d � d � | j d t j t j d � d � | j d t j t j d � d � yB | j t j t j t � � � | j t j t j t � � � Wn3 | j t t j t � | j t t j t � n X| j t j t j t � � � d S( Ns tan(0)i s tan(pi/4)i i s tan(-pi/4)i����( R> R? R t tanR: R; RD RE RB RC RA RF ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testTanD s #$ #c C s | j t t j � | j d t j d � d � | j d t j d � t j d � d � | j d t j t � d � | j d t j t � d � | j t j t j t � � � t j d � j d � r| j t j d � d � | j t j d t j d � � t j d d � � n d S( Ns tanh(0)i s tanh(1)+tanh(-1)i i����s tanh(inf)s tanh(-inf)R R g �g �?( R> R? R t tanhR: RB RC RD RE RF R! t __getformat__R. RI Rc ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testTanhQ s ) c C s� | j t j d � d � | j t j d � d � | j t t j d � � t � | j t t j d � � t � | j t j d � d � | j t j d � d � | j t j d � d � | j t j d � d � | j t j d � d � | j t j d � d � d t f d � � Y} d t f d � � Y} | j t j | � � d � | j t t j � | j t t j d d � | j t t f t j | � � d S( Ni i����g �?g ��g����?g�����g� !��i g-���?Y�i����t TestTruncc B s e Z d � Z RS( c S s d S( Ni ( ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt __trunc__k s ( RW RX R� ( ( ( s& /usr/lib64/python2.7/test/test_math.pyR� j s t TestNoTruncc B s e Z RS( ( RW RX ( ( ( s& /usr/lib64/python2.7/test/test_math.pyR� n s i i ( RI R t truncR^ Ro R_ R> R? t AttributeError( R7 R� R� ( ( s& /usr/lib64/python2.7/test/test_math.pyt test_trunc^ s" c C s� | j t j t d � � � | j t j t d � d � � | j t j t d � � � | j t j d � � | j t j d � � d S( NR R g g �?( RD R RE R! t assertFalse( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testIsnanx s c C s� | j t j t d � � � | j t j t d � � � | j t j d � � | j t j d � � | j t j t d � � � | j t j d � � | j t j d � � d S( NR s -infg �g �R g g �?( RD R R R! R� ( R7 ( ( s& /usr/lib64/python2.7/test/test_math.pyt testIsinf s s requires verbose modec C s� y t j d � } Wn | j d � n X| d k rF | j d � n y t j d � } Wn t k rl n X| j d � y t j d � } Wn t k r� n X| j d � d S( Ni 6e�s6 underflowing exp() should not have raised an exceptioni s) underflowing exp() should have returned 0i ʚ;s. overflowing exp() didn't trigger OverflowErrorg �s sqrt(-1) didn't raise ValueError( R R+ R6 R� R� RA ( R7 R ( ( s& /usr/lib64/python2.7/test/test_math.pyt test_exceptions� s c C s x t t � D]� \ } } } } } } } | d k s | d k s | rL q n | d k r^ q n t t | � } y | | � } Wni t k r� d d | | | f } | j | � n5 t k r� d d | | | f } | j | � n X| j d | | | f | | � q Wd S( Ng t rectt polars Unexpected ValueError in s test %s:%s(%r) s Unexpected OverflowError in s %s:%s(%r)( R� R� ( R3 t test_filet getattrR RA R6 R� R: ( R7 R' R( t art ait ert eiR, t funcRp t message( ( s& /usr/lib64/python2.7/test/test_math.pyt test_testfile� s" ( R R s test requires IEEE 754 doublesc C s> d } d } g } xt t � D]�\ } } } } } t t | � } d | k s[ d | k rd d } n d | k ry d } n y | | � } Wn- t k r� d } n t k r� d } n Xd } t | t � r�t | t � r�t j | � rt j | � rq n t j | � r�t j | � r�| d k rKt | | d d d d �} n3 | d k rlt | | d � } n t | | d � } | d k r�q q�q�n t | t � r�t | t � r�| | k r�q q�n | j | | | | | � } | d k r| d j | � 7} n | j | � q W| r:| j d d j | � � n d S( Ni s$ {}:{}({!r}): expected {!r}, got {!r}t invalids divide-by-zeroRA t overflowR� t lgammaR g�+�����<R t erfci� s ({})s Failures in test_mtestfile: s ( R- t math_testcasesR� R RA R� R t isinstanceR! RE R R t strR R� R6 t join( R7 t ALLOWED_ERRORt fail_fmtt failuresR' R( R) R R, R� R t accuracy_failuret fail_msg( ( s& /usr/lib64/python2.7/test/test_math.pyt test_mtestfile� sN " (3 RW RX R: R= RG RJ RL RN RP RR RT Rb t requires_IEEE_754Rd Rf Rh Rj Rk Rm Ry R~ R� R� t unittestt skipIft HAVE_DOUBLE_ROUNDINGR� R� R� R� R� R� R� R� R� R� R� R� R� R� R� R� R� t skipUnlessR R� R� R! R� R. R� ( ( ( s& /usr/lib64/python2.7/test/test_math.pyR4 � sV = " ! Y � c C sS d d l m } t j � } | j t j t � � | j | d � � t | � d S( Ni����( t DocFileSuites ieee754.txt( t doctestR� R� t TestSuitet addTestt makeSuiteR4 R ( R� t suite( ( s& /usr/lib64/python2.7/test/test_math.pyt test_main s (( t test.test_supportR R R� R t osR� Rs R R5 R! RF RB RC R� R� R. R� R t yR� RW t argvt filet __file__t patht dirnamet curdirt test_dirR� R� R� R R R R- R3 t TestCaseR4 R� ( ( ( s& /usr/lib64/python2.7/test/test_math.pyt <module> sB � � � �
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