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88896a1144
Change-Id: I42dc2a783b3e0082a7583cc7ecaa6b043ba162f4 Reviewed-on: https://review.haiku-os.org/c/buildtools/+/3021 Reviewed-by: Fredrik Holmqvist <fredrik.holmqvist@gmail.com>
133 lines
3.8 KiB
C
133 lines
3.8 KiB
C
/* tj1 -- test file for the Bessel function of first kind (order 1)
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Copyright 2007-2020 Free Software Foundation, Inc.
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Contributed by the AriC and Caramba projects, INRIA.
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This file is part of the GNU MPFR Library.
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The GNU MPFR Library is free software; you can redistribute it and/or modify
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it under the terms of the GNU Lesser General Public License as published by
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the Free Software Foundation; either version 3 of the License, or (at your
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option) any later version.
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The GNU MPFR Library is distributed in the hope that it will be useful, but
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WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY
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or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public
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License for more details.
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You should have received a copy of the GNU Lesser General Public License
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along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see
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https://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc.,
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51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */
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#include "mpfr-test.h"
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#define TEST_FUNCTION mpfr_j1
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#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), 8, RANDS)
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#define REDUCE_EMAX 262143 /* otherwise arg. reduction is too expensive */
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#include "tgeneric.c"
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/* test for small input, where j1(x) = x/2 - x^3/16 + ... */
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static void
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test_small (void)
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{
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mpfr_t x, y;
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int inex, sign;
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mpfr_exp_t e, emin;
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mpfr_init2 (x, 10);
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mpfr_init2 (y, 9);
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emin = mpfr_get_emin ();
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for (e = -4; e >= -30; e--)
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{
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if (e == -30)
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{
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e = mpfr_get_emin_min () - 1;
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mpfr_set_emin (e + 1);
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}
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for (sign = -1; sign <= 1; sign += 2)
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{
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mpfr_set_si_2exp (x, sign, e, MPFR_RNDN);
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mpfr_nexttoinf (x);
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inex = mpfr_j1 (y, x, MPFR_RNDN);
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if (e >= -29)
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{
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/* since |x| is just above 2^e, |j1(x)| is just above 2^(e-1),
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thus y should be 2^(e-1) and the inexact flag should be
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of opposite sign of x */
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MPFR_ASSERTN(mpfr_cmp_si_2exp (y, sign, e - 1) == 0);
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MPFR_ASSERTN(VSIGN (inex) * sign < 0);
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}
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else
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{
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/* here |y| should be 0.5*2^emin and the inexact flag should
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have the sign of x */
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MPFR_ASSERTN(mpfr_cmp_si_2exp (y, sign, e) == 0);
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MPFR_ASSERTN(VSIGN (inex) * sign > 0);
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}
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}
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}
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mpfr_set_emin (emin);
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mpfr_clear (x);
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mpfr_clear (y);
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}
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int
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main (int argc, char *argv[])
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{
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mpfr_t x, y;
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tests_start_mpfr ();
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test_small ();
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mpfr_init (x);
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mpfr_init (y);
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/* special values */
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mpfr_set_nan (x);
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mpfr_j1 (y, x, MPFR_RNDN);
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MPFR_ASSERTN(mpfr_nan_p (y));
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mpfr_set_inf (x, 1); /* +Inf */
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mpfr_j1 (y, x, MPFR_RNDN);
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MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
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mpfr_set_inf (x, -1); /* -Inf */
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mpfr_j1 (y, x, MPFR_RNDN);
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MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y));
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mpfr_set_ui (x, 0, MPFR_RNDN); /* +0 */
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mpfr_j1 (y, x, MPFR_RNDN);
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MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_POS (y)); /* j1(+0)=+0 */
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mpfr_set_ui (x, 0, MPFR_RNDN);
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mpfr_neg (x, x, MPFR_RNDN); /* -0 */
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mpfr_j1 (y, x, MPFR_RNDN);
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MPFR_ASSERTN(mpfr_cmp_ui (y, 0) == 0 && MPFR_IS_NEG (y)); /* j1(-0)=-0 */
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mpfr_set_prec (x, 53);
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mpfr_set_prec (y, 53);
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mpfr_set_ui (x, 1, MPFR_RNDN);
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mpfr_j1 (y, x, MPFR_RNDN);
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mpfr_set_str_binary (x, "0.0111000010100111001001111011101001011100001100011011");
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if (mpfr_cmp (x, y))
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{
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printf ("Error in mpfr_j1 for x=1, rnd=MPFR_RNDN\n");
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printf ("Expected "); mpfr_dump (x);
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printf ("Got "); mpfr_dump (y);
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exit (1);
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}
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mpfr_clear (x);
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mpfr_clear (y);
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test_generic (MPFR_PREC_MIN, 100, 10);
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data_check ("data/j1", mpfr_j1, "mpfr_j1");
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tests_end_mpfr ();
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return 0;
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}
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