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/* Test file for the beta function
Copyright 2017-2025 Free Software Foundation, Inc.
Contributed by ChemicalDevelopment.
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 3 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.LESSER.
If not, see <https://www.gnu.org/licenses/>. */
#include "mpfr-test.h"
/* TODO: Test the ternary value and the flags. Add tgeneric tests. */
#define FAILED(p, r, z, w, expected, rnd_mode) do { \
printf ("prec=%d, rnd=%s case failed for:", \
(int) p, mpfr_print_rnd_mode (rnd_mode)); \
printf("\n z ="); \
mpfr_out_str (stdout, 2, 0, z, MPFR_RNDN); \
printf("\n w ="); \
mpfr_out_str (stdout, 2, 0, w, MPFR_RNDN); \
printf("\n expected "); \
mpfr_out_str (stdout, 2, 0, expected, MPFR_RNDN); \
printf("\n got "); \
mpfr_out_str (stdout, 2, 0, r, MPFR_RNDN); \
printf("\n\n"); \
exit (1); \
} while (0)
#define TEST(p, r, z, w, expected) TESTRND(p, r, z, w, expected, MPFR_RNDN)
#define TESTRND(p, r, z, w, expected, rnd_mode) do { \
mpfr_beta (r, z, w, rnd_mode); \
if (! SAME_VAL (r, expected)) \
FAILED(p, r, z, w, expected, rnd_mode); \
} while (0)
static void
test_beta_special (mpfr_prec_t prec)
{
mpfr_t z, w, r, expect;
mpfr_init2 (r, prec);
mpfr_init2 (z, prec);
mpfr_init2 (w, prec);
mpfr_init2 (expect, prec);
mpfr_set_inf (z, 1);
mpfr_set_inf (w, 1);
mpfr_set_zero (expect, 1);
TEST(prec, r, z, w, expect);
mpfr_set_inf (z, 1);
mpfr_set_zero (w, 1);
mpfr_set_nan (expect);
TEST(prec, r, z, w, expect);
mpfr_set_inf (z, 1);
mpfr_set_zero (w, -1);
mpfr_set_nan (expect);
TEST(prec, r, z, w, expect);
mpfr_set_inf (z, 1);
mpfr_set_str (w, "-.1e0", 2, MPFR_RNDN);
mpfr_set_inf (expect, 1);
TEST(prec, r, z, w, expect);
mpfr_set_inf (z, 1);
mpfr_set_str (w, "-1.1e0", 2, MPFR_RNDN);
mpfr_set_inf (expect, -1);
TEST(prec, r, z, w, expect);
mpfr_set_inf (z, 1);
mpfr_set_str (w, "-1e0", 2, MPFR_RNDN);
mpfr_set_nan (expect);
TEST(prec, r, z, w, expect);
mpfr_set_inf (z, 1);
mpfr_set_str (w, "-2e0", 2, MPFR_RNDN);
mpfr_set_nan (expect);
TEST(prec, r, z, w, expect);
if (prec > 81)
{
mpfr_set_inf (z, 1);
mpfr_set_str (w, "-1e80", 2, MPFR_RNDN);
mpfr_set_nan (expect);
TEST(prec, r, z, w, expect);
mpfr_set_inf (z, 1);
mpfr_set_str (w, "-1e80", 2, MPFR_RNDN);
mpfr_sub_d (w, w, .1, MPFR_RNDN);
mpfr_set_inf (expect, 1);
TEST(prec, r, z, w, expect);
mpfr_set_str (w, "-1e80", 2, MPFR_RNDN);
mpfr_sub_d (w, w, 1.1, MPFR_RNDN);
mpfr_set_inf (expect, -1);
TEST(prec, r, z, w, expect);
}
mpfr_set_str (z, "1.1e0", 2, MPFR_RNDN);
mpfr_set_inf (w, -1);
mpfr_set_nan (expect);
TEST(prec, r, z, w, expect);
mpfr_set_str (z, "11e0", 2, MPFR_RNDN);
mpfr_set_inf (w, -1);
mpfr_set_zero (expect, -1);
TEST(prec, r, z, w, expect);
mpfr_set_str (z, "10e0", 2, MPFR_RNDN);
mpfr_set_inf (w, -1);
mpfr_set_zero (expect, 1);
TEST(prec, r, z, w, expect);
mpfr_set_inf (z, -1);
mpfr_set_inf (w, -1);
mpfr_set_nan (expect);
TEST(prec, r, z, w, expect);
mpfr_clear (r);
mpfr_clear (z);
mpfr_clear (w);
mpfr_clear (expect);
}
static void
test_beta_2exp (mpfr_prec_t prec, int trials, int spread)
{
mpfr_t r, z, w, expect;
int i;
mpfr_init2 (r, prec);
mpfr_init2 (z, prec);
mpfr_init2 (w, prec);
mpfr_init2 (expect, prec);
for (i = -(spread*trials)/2; spread*i < trials / 2; i += spread)
{
mpfr_set_si_2exp (z, 1, i, MPFR_RNDN);
mpfr_set_ui (w, 1, MPFR_RNDN);
mpfr_set_si_2exp (expect, 1, -i, MPFR_RNDN);
TEST(prec, r, z, w, expect);
}
mpfr_clear (r);
mpfr_clear (z);
mpfr_clear (w);
mpfr_clear (expect);
}
/*
Tests values such that z and w are not integers, but (z+w) is.
An example that was given:
beta(-.3, -1.7) = gamma(-0.3)*gamma(-1.7)/gamma(-2)
Sage gives this as 0, and Lefevre said that we should return +0
*/
static void
test_beta_zw_sum_int (mpfr_prec_t prec)
{
mpfr_t r, z, w, expect;
int sum;
if (prec < 4)
prec = 4;
mpfr_init2 (r, prec);
mpfr_init2 (z, prec);
mpfr_init2 (w, prec);
mpfr_init2 (expect, prec);
sum = -3;
mpfr_set_str (z, "-1.1e0", 2, MPFR_RNDN);
mpfr_si_sub (w, sum, z, MPFR_RNDN);
mpfr_set_zero (expect, 1);
TEST(prec, r, z, w, expect);
sum = -12;
mpfr_set_str (z, "-1.101e0", 2, MPFR_RNDN);
mpfr_si_sub (w, sum, z, MPFR_RNDN);
mpfr_set_zero (expect, 1);
TEST(prec, r, z, w, expect);
sum = -1;
mpfr_set_str (z, "-.11e0", 2, MPFR_RNDN);
mpfr_si_sub (w, sum, z, MPFR_RNDN);
mpfr_set_zero (expect, 1);
TEST(prec, r, z, w, expect);
sum = -13;
mpfr_set_str (z, "-.001e0", 2, MPFR_RNDN);
mpfr_si_sub (w, sum, z, MPFR_RNDN);
mpfr_set_zero (expect, 1);
TEST(prec, r, z, w, expect);
mpfr_clear (r);
mpfr_clear (z);
mpfr_clear (w);
mpfr_clear (expect);
}
static void
test_beta_hardcoded (mpfr_prec_t prec)
{
mpfr_t r, z, w, expect;
mpfr_prec_t oprec = 1;
if (prec < 10)
prec = 10;
mpfr_init2 (z, prec);
mpfr_init2 (w, prec);
mpfr_init2 (r, oprec);
mpfr_init2 (expect, oprec);
mpfr_set_ui (z, 3, MPFR_RNDN);
mpfr_set_ui (w, 3, MPFR_RNDN);
mpfr_set_str (expect, "1e-5", 2, MPFR_RNDN);
TESTRND(prec, r, z, w, expect, MPFR_RNDN);
mpfr_set_str (expect, "1.1e-5", 2, MPFR_RNDN);
TESTRND(prec, r, z, w, expect, MPFR_RNDU);
mpfr_set_str (expect, "1e-5", 2, MPFR_RNDN);
TESTRND(prec, r, z, w, expect, MPFR_RNDD);
mpfr_set_ui (z, 5, MPFR_RNDN);
mpfr_set_ui (w, 27, MPFR_RNDN);
mpfr_set_str (expect, "1e-20", 2, MPFR_RNDN);
TESTRND(prec, r, z, w, expect, MPFR_RNDN);
mpfr_set_str (expect, "1e-19", 2, MPFR_RNDN);
TESTRND(prec, r, z, w, expect, MPFR_RNDU);
mpfr_set_ui (z, 5, MPFR_RNDN);
mpfr_set_ui (w, 27, MPFR_RNDN);
mpfr_set_str (expect, "1e-20", 2, MPFR_RNDN);
TESTRND(prec, r, z, w, expect, MPFR_RNDN);
mpfr_set_ui (z, 121, MPFR_RNDN);
mpfr_set_ui (w, 2, MPFR_RNDN);
mpfr_set_str (expect, "1e-14", 2, MPFR_RNDN);
TESTRND(prec, r, z, w, expect, MPFR_RNDN);
mpfr_set_ui (z, 121, MPFR_RNDN);
mpfr_set_ui (w, 151, MPFR_RNDN);
mpfr_set_str (expect, "1e-271", 2, MPFR_RNDN);
TESTRND(prec, r, z, w, expect, MPFR_RNDN);
mpfr_set_str (expect, "1e-272", 2, MPFR_RNDN);
TESTRND(prec, r, z, w, expect, MPFR_RNDD);
mpfr_set_str (expect, "1e-271", 2, MPFR_RNDN);
TESTRND(prec, r, z, w, expect, MPFR_RNDU);
mpfr_clear (r);
mpfr_clear (z);
mpfr_clear (w);
mpfr_clear (expect);
}
/* makes sure beta(a, b) = beta(b, a) */
static void
test_beta_refl (mpfr_prec_t prec, mpfr_rnd_t rnd_mode)
{
mpfr_t r, z, w, expect;
mpfr_init2 (z, prec);
mpfr_init2 (w, prec);
mpfr_init2 (r, prec);
mpfr_init2 (expect, prec);
mpfr_set_ui (z, 3, MPFR_RNDN);
mpfr_set_ui (w, 3, MPFR_RNDN);
mpfr_beta (expect, w, z, rnd_mode);
TESTRND(prec, r, z, w, expect, rnd_mode);
mpfr_set_ui (z, 5, MPFR_RNDN);
mpfr_set_ui (w, 100, MPFR_RNDN);
mpfr_beta (expect, w, z, rnd_mode);
TESTRND(prec, r, z, w, expect, rnd_mode);
mpfr_set_nan (z);
mpfr_set_ui (w, 100, MPFR_RNDN);
mpfr_beta (expect, w, z, rnd_mode);
TESTRND(prec, r, z, w, expect, rnd_mode);
mpfr_set_nan (z);
mpfr_set_ui (w, 1, MPFR_RNDN);
mpfr_beta (expect, w, z, rnd_mode);
TESTRND(prec, r, z, w, expect, rnd_mode);
mpfr_set_nan (z);
mpfr_set_nan (w);
mpfr_beta (expect, w, z, rnd_mode);
TESTRND(prec, r, z, w, expect, rnd_mode);
mpfr_set_nan (z);
mpfr_set_nan (w);
mpfr_beta (expect, w, z, rnd_mode);
TESTRND(prec, r, z, w, expect, rnd_mode);
mpfr_clear (r);
mpfr_clear (z);
mpfr_clear (w);
mpfr_clear (expect);
}
#define TEST_FUNCTION mpfr_beta
#define TWO_ARGS
#define TEST_RANDOM_EMIN -16
#define TEST_RANDOM_EMAX 16
#include "tgeneric.c"
int
main (void)
{
tests_start_mpfr ();
test_beta_special (10);
test_beta_special (100);
test_beta_special (1000);
test_beta_2exp (1, 10, 1);
test_beta_2exp (100, 40, 3);
test_beta_hardcoded (10);
test_beta_hardcoded (100);
test_beta_refl (1, MPFR_RNDN);
test_beta_refl (100, MPFR_RNDD);
test_beta_zw_sum_int (10);
test_beta_zw_sum_int (100);
test_generic (MPFR_PREC_MIN, 100, 20);
tests_end_mpfr ();
return 0;
}
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