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Diffstat (limited to 'mpc/tests/sqrt.dat')
| -rw-r--r-- | mpc/tests/sqrt.dat | 139 |
1 files changed, 139 insertions, 0 deletions
diff --git a/mpc/tests/sqrt.dat b/mpc/tests/sqrt.dat new file mode 100644 index 0000000000..076f2afadc --- /dev/null +++ b/mpc/tests/sqrt.dat @@ -0,0 +1,139 @@ +# Data file for mpc_sqrt. +# +# Copyright (C) 2008, 2010 INRIA +# +# This file is part of GNU MPC. +# +# GNU MPC is free software; you can redistribute it and/or modify it under +# the terms of the GNU Lesser General Public License as published by the +# Free Software Foundation; either version 3 of the License, or (at your +#o ption) any later version. +# +# GNU MPC is distributed in the hope that it will be useful, but WITHOUT ANY +# WARRANTY; without even the implied warranty of MERCHANTABILITY or FITNESS +# FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public License for +# more details. +# +# You should have received a copy of the GNU Lesser General Public License +# along with this program. If not, see http://www.gnu.org/licenses/ . +# +# The line format respects the parameter order in function prototype as +# follow: +# +# INEX_RE INEX_IM PREC_ROP_RE ROP_RE PREC_ROP_IM ROP_IM PREC_OP_RE OP_RE PREC_OP_IM OP_IM RND_RE RND_IM +# +# see sin.dat for precisions + +# special values (following ISO C99 standard) +0 0 53 +inf 53 -inf 53 -inf 53 -inf N N +0 0 53 +0 53 -inf 53 -inf 53 -1 N N +0 0 53 +0 53 -inf 53 -inf 53 -0 N N +0 0 53 +0 53 +inf 53 -inf 53 +0 N N +0 0 53 +0 53 +inf 53 -inf 53 +1 N N +0 0 53 +inf 53 +inf 53 -inf 53 +inf N N +0 0 53 nan 53 inf 53 -inf 53 nan N N +0 0 53 +inf 53 -inf 53 -1 53 -inf N N +0 0 53 +0 53 -1 53 -1 53 -0 N N +0 0 53 +0 53 +1 53 -1 53 +0 N N +0 0 53 +inf 53 +inf 53 -1 53 +inf N N +0 0 53 nan 53 nan 53 -1 53 nan N N +0 0 53 +inf 53 -inf 53 -0 53 -inf N N +0 0 53 +1 53 -1 53 -0 53 -2 N N +0 0 53 +0 53 -0 53 -0 53 -0 N N +0 0 53 +0 53 +0 53 -0 53 +0 N N +0 0 53 +1 53 +1 53 -0 53 +2 N N +0 0 53 +inf 53 +inf 53 -0 53 +inf N N +0 0 53 nan 53 nan 53 -0 53 nan N N +0 0 53 +inf 53 -inf 53 +0 53 -inf N N +0 0 53 +1 53 -1 53 +0 53 -2 N N +0 0 53 +0 53 -0 53 +0 53 -0 N N +0 0 53 +0 53 +0 53 +0 53 +0 N N +0 0 53 +1 53 +1 53 +0 53 +2 N N +0 0 53 +inf 53 +inf 53 +0 53 +inf N N +0 0 53 nan 53 nan 53 +0 53 nan N N +0 0 53 +inf 53 -inf 53 +1 53 -inf N N +0 0 53 +1 53 -0 53 +1 53 -0 N N +0 0 53 +1 53 +0 53 +1 53 +0 N N +0 0 53 +inf 53 +inf 53 +1 53 +inf N N +0 0 53 nan 53 nan 53 +1 53 nan N N +0 0 53 +inf 53 -inf 53 +inf 53 -inf N N +0 0 53 +inf 53 -0 53 +inf 53 -1 N N +0 0 53 +inf 53 -0 53 +inf 53 -0 N N +0 0 53 +inf 53 +0 53 +inf 53 +0 N N +0 0 53 +inf 53 +0 53 +inf 53 +1 N N +0 0 53 +inf 53 +inf 53 +inf 53 +inf N N +0 0 53 +inf 53 nan 53 +inf 53 nan N N +0 0 53 +inf 53 -inf 53 nan 53 -inf N N +0 0 53 nan 53 nan 53 nan 53 -1 N N +0 0 53 nan 53 nan 53 nan 53 -0 N N +0 0 53 nan 53 nan 53 nan 53 +0 N N +0 0 53 nan 53 nan 53 nan 53 +1 N N +0 0 53 +inf 53 +inf 53 nan 53 +inf N N +0 0 53 nan 53 nan 53 nan 53 nan N N + +# purely real argument +# sqrt(x +i*0) = sqrt(x) +i*0, when x>0 +# sqrt(x -i*0) = sqrt(x) -i*0, when x>0 +# sqrt(x +i*0) = +0 +i*sqrt(-x) +i*0, when x<0 +# sqrt(x -i*0) = +0 -i*sqrt(-x) +i*0, when x<0 ++ 0 53 0x16a09e667f3bcdp-52 53 +0 53 2 17 +0 N N +0 + 53 +0 53 0x16a09e667f3bcdp-52 54 -2 16 +0 Z N ++ 0 53 0x16a09e667f3bcdp-52 53 -0 55 2 15 -0 U N +0 - 53 +0 53 -0x16a09e667f3bcdp-52 56 -2 14 -0 D N +- 0 53 0x5a827999fcef30p-54 53 +0 57 2 13 +0 Z Z +0 - 53 +0 53 0x5a827999fcef30p-54 58 -2 12 +0 U Z +- 0 53 0x5a827999fcef30p-54 53 -0 59 2 11 -0 D Z +0 + 53 +0 53 -0x5a827999fcef30p-54 60 -2 10 -0 N Z ++ 0 53 0x16a09e667f3bcdp-52 53 +0 61 2 9 +0 U U +0 + 53 +0 53 0x16a09e667f3bcdp-52 62 -2 8 +0 D U ++ 0 53 0x16a09e667f3bcdp-52 53 -0 63 2 7 -0 N U +0 + 53 +0 53 -0x5a827999fcef30p-54 64 -2 6 -0 Z U +- 0 53 0x5a827999fcef30p-54 53 +0 65 2 5 +0 D D +0 - 53 +0 53 0x5a827999fcef30p-54 66 -2 4 +0 N D +- 0 53 0x5a827999fcef30p-54 53 -0 67 2 3 -0 Z D +0 - 53 +0 53 -0x16a09e667f3bcdp-52 68 -2 2 -0 U D + +# purely imaginary argument +# sqrt(+/-0 +i*y) = sqrt(y/2) * (1 +i), when y >0 +# sqrt(+/-0 +i*y) = sqrt(-y/2) * (1 -i), when y < 0 ++ + 53 0x16a09e667f3bcdp-52 53 0x16a09e667f3bcdp-52 53 +0 53 4 N N +- + 53 0x5a827999fcef30p-54 53 0x16a09e667f3bcdp-52 51 -0 54 4 Z N ++ - 53 0x16a09e667f3bcdp-52 53 -0x16a09e667f3bcdp-52 49 +0 55 -4 U N +- - 53 0x5a827999fcef30p-54 53 -0x16a09e667f3bcdp-52 47 -0 56 -4 D N +- - 53 0x5a827999fcef30p-54 53 0x5a827999fcef30p-54 45 +0 57 4 Z Z ++ - 53 0x16a09e667f3bcdp-52 53 0x5a827999fcef30p-54 43 -0 58 4 U Z +- + 53 0x5a827999fcef30p-54 53 -0x5a827999fcef30p-54 41 +0 59 -4 D Z ++ + 53 0x16a09e667f3bcdp-52 53 -0x5a827999fcef30p-54 39 -0 60 -4 N Z ++ + 53 0x16a09e667f3bcdp-52 53 0x16a09e667f3bcdp-52 37 +0 61 4 U U +- + 53 0x5a827999fcef30p-54 53 0x16a09e667f3bcdp-52 35 -0 62 4 D U ++ + 53 0x16a09e667f3bcdp-52 53 -0x5a827999fcef30p-54 33 +0 63 -4 N U +- + 53 0x5a827999fcef30p-54 53 -0x5a827999fcef30p-54 31 -0 64 -4 Z U +- - 53 0x5a827999fcef30p-54 53 0x5a827999fcef30p-54 29 +0 65 4 D D ++ - 53 0x16a09e667f3bcdp-52 53 0x5a827999fcef30p-54 27 -0 66 4 N D +- - 53 0x5a827999fcef30p-54 53 -0x16a09e667f3bcdp-52 25 +0 67 -4 Z D ++ - 53 0x16a09e667f3bcdp-52 53 -0x16a09e667f3bcdp-52 23 -0 68 -4 U D + +# bugs fixed in r160 2008-07-15 +- + 19 0b11101001001001001100p+39 19 -0b1010110101100111011p-236 19 0b1.101010001010100000p+117 19 -0b1.001110111101100001p-158 N Z +- + 2 0b11p+100 2 -0b11p+100 2 -0 2 -0b11p+203 N Z +0 + 2 0 2 -0b10p+117 2 -0b11p+235 2 -0 N Z + +# close to infinite loop reported by Emmanuel Thome, 22 Oct 2010, +# and all its variants of signs and directed roundings +- + 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 N N ++ + 375 0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 U U +- - 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D D +- + 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D U +- - 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 Z Z +- - 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 N N ++ + 375 0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 U U +- - 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D D +- + 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 Z Z ++ - 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 1 375 -1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 N N ++ + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 375 -1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 U U +- - 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D D +- - 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 1 375 -1 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 Z Z ++ + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 -1 375 -1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 N N ++ + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281177 375 -1 375 -1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 U U +- - 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 -0x1.0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000004 375 -1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 D D +- + 375 0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef5fffffffffffffffffffffffffffffffffffffffffffep-202281177 375 -1 375 -1 375 -0xf.8a8aae3080b3dd665e316d262fd54c1ca22a83dc9acb92ef6p-202281176 Z Z |