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Diffstat (limited to 'gmp/tests/mpf/t-sqrt.c')
| -rw-r--r-- | gmp/tests/mpf/t-sqrt.c | 194 |
1 files changed, 194 insertions, 0 deletions
diff --git a/gmp/tests/mpf/t-sqrt.c b/gmp/tests/mpf/t-sqrt.c new file mode 100644 index 0000000000..16a823d9a4 --- /dev/null +++ b/gmp/tests/mpf/t-sqrt.c @@ -0,0 +1,194 @@ +/* Test mpf_sqrt, mpf_mul. + +Copyright 1996, 2001, 2004 Free Software Foundation, Inc. + +This file is part of the GNU MP Library test suite. + +The GNU MP Library test suite is free software; you can redistribute it +and/or modify it under the terms of the GNU General Public License as +published by the Free Software Foundation; either version 3 of the License, +or (at your option) any later version. + +The GNU MP Library test suite 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 General +Public License for more details. + +You should have received a copy of the GNU General Public License along with +the GNU MP Library test suite. If not, see https://www.gnu.org/licenses/. */ + +#include <stdio.h> +#include <stdlib.h> + +#include "gmp.h" +#include "gmp-impl.h" +#include "tests.h" + +#ifndef SIZE +#define SIZE 16 +#endif + +void +check_rand1 (int argc, char **argv) +{ + mp_size_t size; + mp_exp_t exp; + int reps = 20000; + int i; + mpf_t x, y, y2; + mp_size_t bprec = 100; + mpf_t rerr, max_rerr, limit_rerr; + + if (argc > 1) + { + reps = strtol (argv[1], 0, 0); + if (argc > 2) + bprec = strtol (argv[2], 0, 0); + } + + mpf_set_default_prec (bprec); + + mpf_init_set_ui (limit_rerr, 1); + mpf_div_2exp (limit_rerr, limit_rerr, bprec); +#if VERBOSE + mpf_dump (limit_rerr); +#endif + mpf_init (rerr); + mpf_init_set_ui (max_rerr, 0); + + mpf_init (x); + mpf_init (y); + mpf_init (y2); + for (i = 0; i < reps; i++) + { + size = urandom () % SIZE; + exp = urandom () % SIZE; + mpf_random2 (x, size, exp); + + mpf_sqrt (y, x); + MPF_CHECK_FORMAT (y); + mpf_mul (y2, y, y); + + mpf_reldiff (rerr, x, y2); + if (mpf_cmp (rerr, max_rerr) > 0) + { + mpf_set (max_rerr, rerr); +#if VERBOSE + mpf_dump (max_rerr); +#endif + if (mpf_cmp (rerr, limit_rerr) > 0) + { + printf ("ERROR after %d tests\n", i); + printf (" x = "); mpf_dump (x); + printf (" y = "); mpf_dump (y); + printf (" y2 = "); mpf_dump (y2); + printf (" rerr = "); mpf_dump (rerr); + printf (" limit_rerr = "); mpf_dump (limit_rerr); + printf ("in hex:\n"); + mp_trace_base = 16; + mpf_trace (" x ", x); + mpf_trace (" y ", y); + mpf_trace (" y2 ", y2); + mpf_trace (" rerr ", rerr); + mpf_trace (" limit_rerr", limit_rerr); + abort (); + } + } + } + + mpf_clear (limit_rerr); + mpf_clear (rerr); + mpf_clear (max_rerr); + + mpf_clear (x); + mpf_clear (y); + mpf_clear (y2); +} + +void +check_rand2 (void) +{ + unsigned long max_prec = 20; + unsigned long min_prec = __GMPF_BITS_TO_PREC (1); + gmp_randstate_ptr rands = RANDS; + unsigned long x_prec, r_prec; + mpf_t x, r, s; + int i; + + mpf_init (x); + mpf_init (r); + mpf_init (s); + refmpf_set_prec_limbs (s, 2*max_prec+10); + + for (i = 0; i < 500; i++) + { + /* input precision */ + x_prec = gmp_urandomm_ui (rands, max_prec-min_prec) + min_prec; + refmpf_set_prec_limbs (x, x_prec); + + /* result precision */ + r_prec = gmp_urandomm_ui (rands, max_prec-min_prec) + min_prec; + refmpf_set_prec_limbs (r, r_prec); + + mpf_random2 (x, x_prec, 1000); + + mpf_sqrt (r, x); + MPF_CHECK_FORMAT (r); + + /* Expect to prec limbs of result. + In the current implementation there's no stripping of low zero + limbs in mpf_sqrt, so size should be exactly prec. */ + if (SIZ(r) != r_prec) + { + printf ("mpf_sqrt wrong number of result limbs\n"); + mpf_trace (" x", x); + mpf_trace (" r", r); + printf (" r_prec=%lu\n", r_prec); + printf (" SIZ(r) %ld\n", (long) SIZ(r)); + printf (" PREC(r) %ld\n", (long) PREC(r)); + abort (); + } + + /* Must have r^2 <= x, since r has been truncated. */ + mpf_mul (s, r, r); + if (! (mpf_cmp (s, x) <= 0)) + { + printf ("mpf_sqrt result too big\n"); + mpf_trace (" x", x); + printf (" r_prec=%lu\n", r_prec); + mpf_trace (" r", r); + mpf_trace (" s", s); + abort (); + } + + /* Must have (r+ulp)^2 > x, or else r is too small. */ + refmpf_add_ulp (r); + mpf_mul (s, r, r); + if (! (mpf_cmp (s, x) > 0)) + { + printf ("mpf_sqrt result too small\n"); + mpf_trace (" x", x); + printf (" r_prec=%lu\n", r_prec); + mpf_trace (" r+ulp", r); + mpf_trace (" s", s); + abort (); + } + } + + mpf_clear (x); + mpf_clear (r); + mpf_clear (s); +} + +int +main (int argc, char **argv) +{ + tests_start (); + mp_trace_base = -16; + + check_rand1 (argc, argv); + check_rand2 (); + + tests_end (); + exit (0); +} |