| /* Test file for mpfr_rec_sqrt. |
| |
| Copyright 2008, 2009 Free Software Foundation, Inc. |
| Contributed by the Arenaire and Cacao projects, INRIA. |
| |
| This file is part of the GNU MPFR Library. |
| |
| The GNU MPFR Library 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 2.1 of the License, or (at your |
| option) any later version. |
| |
| The GNU MPFR Library 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 the GNU MPFR Library; see the file COPYING.LIB. If not, write to |
| the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, |
| MA 02110-1301, USA. */ |
| |
| #include <stdio.h> |
| #include <stdlib.h> |
| |
| #include "mpfr-test.h" |
| |
| #if MPFR_VERSION >= MPFR_VERSION_NUM(2,4,0) |
| |
| #define TEST_FUNCTION mpfr_rec_sqrt |
| #define TEST_RANDOM_POS 8 /* 8/512 = 1/64 of the tested numbers are negative */ |
| #include "tgeneric.c" |
| |
| static void |
| special (void) |
| { |
| mpfr_t x, y; |
| int inex; |
| |
| mpfr_init (x); |
| mpfr_init (y); |
| |
| /* rec_sqrt(NaN) = NaN */ |
| mpfr_set_nan (x); |
| inex = mpfr_rec_sqrt (x, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_nan_p (x) && inex == 0); |
| |
| /* rec_sqrt(+Inf) = +0 */ |
| mpfr_set_inf (x, 1); |
| inex = mpfr_rec_sqrt (x, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_zero_p (x) && MPFR_IS_POS(x) && inex == 0); |
| |
| /* rec_sqrt(-Inf) = NaN */ |
| mpfr_set_inf (x, -1); |
| inex = mpfr_rec_sqrt (x, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_nan_p (x) && inex == 0); |
| |
| /* rec_sqrt(+0) = +Inf */ |
| mpfr_set_ui (x, 0, GMP_RNDN); |
| inex = mpfr_rec_sqrt (x, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_inf_p (x) && MPFR_IS_POS(x) && inex == 0); |
| |
| /* rec_sqrt(-0) = +Inf */ |
| mpfr_set_ui (x, 0, GMP_RNDN); |
| mpfr_neg (x, x, GMP_RNDN); |
| inex = mpfr_rec_sqrt (x, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_inf_p (x) && MPFR_IS_POS(x) && inex == 0); |
| |
| /* rec_sqrt(-1) = NaN */ |
| mpfr_set_si (x, -1, GMP_RNDN); |
| inex = mpfr_rec_sqrt (x, x, GMP_RNDN); |
| MPFR_ASSERTN(mpfr_nan_p (x) && inex == 0); |
| |
| /* rec_sqrt(1) = 1 */ |
| mpfr_set_ui (x, 1, GMP_RNDN); |
| inex = mpfr_rec_sqrt (x, x, GMP_RNDN); |
| MPFR_ASSERTN((mpfr_cmp_ui (x, 1) == 0) && (inex == 0)); |
| |
| mpfr_set_prec (x, 23); |
| mpfr_set_prec (y, 33); |
| mpfr_set_str_binary (x, "1.0001110110101001010100e-1"); |
| inex = mpfr_rec_sqrt (y, x, GMP_RNDU); |
| mpfr_set_prec (x, 33); |
| mpfr_set_str_binary (x, "1.01010110101110100100100101011"); |
| MPFR_ASSERTN (inex > 0 && mpfr_cmp (x, y) == 0); |
| |
| mpfr_clear (x); |
| mpfr_clear (y); |
| } |
| |
| /* Worst case incorrectly rounded in r5573, found with the bad_cases test */ |
| static void |
| bad_case1 (void) |
| { |
| mpfr_t x, y, z; |
| |
| mpfr_init2 (x, 72); |
| mpfr_inits2 (6, y, z, (mpfr_ptr) 0); |
| mpfr_set_str (x, "1.08310518720928b30e@-120", 16, GMP_RNDN); |
| mpfr_set_str (z, "f.8@59", 16, GMP_RNDN); |
| /* z = rec_sqrt(x) rounded on 6 bits toward 0, the exact value |
| being ~= f.bffffffffffffffffa11@59. */ |
| mpfr_rec_sqrt (y, x, GMP_RNDZ); |
| if (mpfr_cmp0 (y, z) != 0) |
| { |
| printf ("Error in bad_case1\nexpected "); |
| mpfr_out_str (stdout, 16, 0, z, GMP_RNDN); |
| printf ("\ngot "); |
| mpfr_out_str (stdout, 16, 0, y, GMP_RNDN); |
| printf ("\n"); |
| exit (1); |
| } |
| mpfr_clears (x, y, z, (mpfr_ptr) 0); |
| } |
| |
| static int |
| pm2 (mpfr_ptr y, mpfr_srcptr x, mp_rnd_t rnd_mode) |
| { |
| return mpfr_pow_si (y, x, -2, rnd_mode); |
| } |
| |
| int |
| main (void) |
| { |
| tests_start_mpfr (); |
| |
| special (); |
| bad_case1 (); |
| test_generic (2, 300, 15); |
| |
| data_check ("data/rec_sqrt", mpfr_rec_sqrt, "mpfr_rec_sqrt"); |
| bad_cases (mpfr_rec_sqrt, pm2, "mpfr_rec_sqrt", 8, -256, 255, 4, 128, |
| 800, 50); |
| |
| tests_end_mpfr (); |
| return 0; |
| } |
| |
| #else /* MPFR_VERSION */ |
| |
| int |
| main (void) |
| { |
| printf ("Warning! Test disabled for this MPFR version.\n"); |
| return 0; |
| } |
| |
| #endif /* MPFR_VERSION */ |