U —9%ekã@s4ddlTddlTddlZdd„Zdd„Zdd„ZdS) é)Ú*NcCsÞdt_tdƒddkst‚tdƒddks.t‚tdƒdd ksBt‚tdƒd d ksVt‚td ƒd d ¡slt‚td ƒd d¡s‚t‚td ƒd d¡s˜t‚td ƒd  d¡s®t‚td ƒd d¡sÄt‚td ƒd d¡sÚt‚dS)Néég@ié@gà?égà¿gÀ?gÀgP?é gR[Ú:XL @gX—úí¤Ãs@gIHb=Ô?g·3äÆçi?g333333Ó?g¯¸[-˜ìÿ?g333333Ó¿gRB3Ϲ à?)ÚmpÚdpsÚmpfÚAssertionErrorZae©r r úV/var/www/html/Darija-Ai-API/env/lib/python3.8/site-packages/mpmath/tests/test_power.pyÚtest_fractional_powsrcCs–t d¡dD]‚}tdƒD]t}t d|d>d|>¡}t dd¡}||}ttt|ƒt|ƒ|tƒƒ|kslt‚ttt|ƒt|ƒ|t ƒƒ|kst‚qqdS)zR Test that inexact integer powers are rounded in the right direction. iÒ)ré5éÈé2ééédN) ÚrandomÚseedÚrangeÚrandintZto_intZmpf_powÚfrom_intÚ round_downr Úround_up)ÚprecÚiÚaÚbÚabr r r Útest_pow_integer_directions   "r!cCsîdd„}dD]Ô\}}|t_tdƒtdƒ| d}tdƒtdƒ| d}| }| }|t_t}||d|ƒdkszt‚||d|ƒdksŽt‚||d|ƒdks¢t‚||d|ƒdks¶t‚||d|ƒdksÊt‚||d|ƒdksÞt‚||d|ƒdksòt‚||d|ƒdkst‚||d |ƒdkst‚||d |ƒdks4t‚||d |ƒdksJt‚||d |ƒdks`t‚||d |ƒdksvt‚||d |ƒdksŒt‚||d |ƒdks¢t‚||d |ƒdks¸t‚t}||d|ƒdksÒt‚||d|ƒdksèt‚||d|ƒdksþt‚||d|ƒdkst‚||d|ƒdks*t‚||d|ƒdks@t‚||d|ƒdksVt‚||d|ƒdkslt‚||d |ƒdks‚t‚||d |ƒdks˜t‚||d |ƒdks®t‚||d |ƒdksÄt‚||d |ƒdksÚt‚||d |ƒdksðt‚||d |ƒdkst‚||d |ƒdkst‚t}||d|ƒdks6t‚||d|ƒdksLt‚||d|ƒdksbt‚||d|ƒdksxt‚||d|ƒdksŽt‚||d|ƒdks¤t‚||d|ƒdksºt‚||d|ƒdksÐt‚||d |ƒdksæt‚||d |ƒdksüt‚||d |ƒdkst‚||d |ƒdks(t‚||d |ƒdks>t‚||d |ƒdksTt‚||d |ƒdksjt‚||d |ƒdks€t‚t}||d|ƒdksšt‚||d|ƒdks°t‚||d|ƒdksÆt‚||d|ƒdksÜt‚||d|ƒdksòt‚||d|ƒdkst‚||d|ƒdkst‚||d|ƒdks4t‚||d |ƒdksJt‚||d |ƒdks`t‚||d |ƒdksvt‚||d |ƒdksŒt‚||d |ƒdks¢t‚||d |ƒdks¸t‚||d |ƒdksÎt‚||d |ƒdks t‚q d t_d S) aµ Stress test directed rounding for powers with integer exponents. Basically, we look at the following cases: >>> 1.0001 ** -5 # doctest: +SKIP 0.99950014996500702 >>> 0.9999 ** -5 # doctest: +SKIP 1.000500150035007 >>> (-1.0001) ** -5 # doctest: +SKIP -0.99950014996500702 >>> (-0.9999) ** -5 # doctest: +SKIP -1.000500150035007 >>> 1.0001 ** -6 # doctest: +SKIP 0.99940020994401269 >>> 0.9999 ** -6 # doctest: +SKIP 1.0006002100560125 >>> (-1.0001) ** -6 # doctest: +SKIP 0.99940020994401269 >>> (-0.9999) ** -6 # doctest: +SKIP 1.0006002100560125 etc. We run the tests with values a very small epsilon away from 1: small enough that the result is indistinguishable from 1 when rounded to nearest at the output precision. We check that the result is not erroneously rounded to 1 in cases where the rounding should be done strictly away from 1. cSstt|j|tj|ƒƒS)N)Zmake_mpfZ mpf_pow_intZ_mpf_rr)ÚxÚnÚrr r r ÚpowrCsz'test_pow_epsilon_rounding..powr))ré)iˆi¸ rrééÿÿÿÿééûÿÿÿiúÿÿÿrN) rrr rr rZ round_ceilingZ round_floorr )r%ZinprecZoutprecZpos10001Zpos09999Zneg10001Zneg09999r$r r r Útest_pow_epsilon_rounding#sš r+)ZmpmathZ mpmath.libmprrr!r+r r r r Ús