[hk2SSK7 SSK7 SSKrSrSrSrg))*NcjS[l[S5S-S:Xde[S5S-S:Xde[S5S-S :Xde[S5S -S :Xde[S 5S-RS 5(de[S 5S-RS5(de[S 5S-RS5(de[S 5S -RS5(de[S 5S-RS5(de[S 5S-RS5(deg)Ng@i@g?gg?ggP? gR[:XL @gXs@gIHb=?g3i?g333333?g[-?g333333ӿgRB3Ϲ ?)mpdpsmpfaeO/var/www/auris/envauris/lib/python3.13/site-packages/mpmath/tests/test_power.pytest_fractional_powrs! BF r7c>T !! ! r7c>Q   r7d?e ## # r7d?l ** * GsN  1 2 22 2 GsN  0 1 11 1 GtO   3 4 44 4 GtO   5 6 66 6 GsN  1 2 22 2 GtO   3 4 44 4rc [R"S5 SHn[S5Hn[R"SUS- -SU-5n[R"SS5nX#-n[ [ [ U5[ U5U[55U:de[ [ [ U5[ U5U[55U:aMe M g)zF Test that inexact integer powers are rounded in the right direction. i)r 52dN) randomseedrangerandintto_intmpf_powfrom_int round_downround_up)preciababs rtest_pow_integer_directionr's  KKrAq46{AtG4Aq#&AB'(1+x{D*MNQSS SS'(1+x{D(KLrQ QQ rc SnSGHvupU[l[S5[S5U*S---n[S5[S5U*S--- nU*nU*nU[l[nU"USU5S:deU"USU5S:XdeU"USU5S:deU"USU5S:XdeU"USU5S:deU"USU5S:XdeU"USU5S:deU"USU5S:XdeU"USU5S:XdeU"USU5S:deU"USU5S:XdeU"USU5S:deU"US U5S:XdeU"US U5S:deU"US U5S:XdeU"US U5S:de[nU"USU5S:XdeU"USU5S:deU"USU5S:XdeU"USU5S:deU"USU5S:XdeU"USU5S:deU"USU5S:XdeU"USU5S:deU"USU5S:deU"USU5S:XdeU"USU5S:deU"USU5S:XdeU"US U5S:deU"US U5S:XdeU"US U5S:deU"US U5S:Xde[ nU"USU5S:deU"USU5S:XdeU"USU5S:XdeU"USU5S:deU"USU5S:deU"USU5S:XdeU"USU5S:deU"USU5S:XdeU"USU5S:XdeU"USU5S:deU"USU5S:deU"USU5S:XdeU"US U5S:XdeU"US U5S:deU"US U5S:XdeU"US U5S:de[ nU"USU5S:XdeU"USU5S:deU"USU5S:deU"USU5S:XdeU"USU5S:XdeU"USU5S:deU"USU5S:XdeU"USU5S:deU"USU5S:deU"USU5S:XdeU"USU5S:XdeU"USU5S:deU"US U5S:deU"US U5S:XdeU"US U5S:deU"US U5S:XaGMwe S [lg ) aQ 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. c`[[URU[RU55$)N)make_mpf mpf_pow_int_mpf_r r")xnrs rpowr'test_pow_epsilon_rounding..powrCs  AGGQ;<rBs  5 R yr