--- /dev/null
+/* tfmod -- test file for mpfr_fmod
+
+Copyright 2007, 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_fmod
+#define TWO_ARGS
+#include "tgeneric.c"
+
+/* compute remainder as in definition:
+ r = x - n * y, where n = trunc(x/y).
+ warning: may change flags. */
+static int
+slow_fmod (mpfr_ptr r, mpfr_srcptr x, mpfr_srcptr y, mp_rnd_t rnd)
+{
+ mpfr_t q;
+ int inexact;
+ if (MPFR_UNLIKELY (MPFR_IS_SINGULAR (x) || MPFR_IS_SINGULAR (y)))
+ {
+ if (MPFR_IS_NAN (x) || MPFR_IS_NAN (y) || MPFR_IS_INF (x)
+ || MPFR_IS_ZERO (y))
+ {
+ MPFR_SET_NAN (r);
+ MPFR_RET_NAN;
+ }
+ else /* either y is Inf and x is 0 or non-special,
+ or x is 0 and y is non-special,
+ in both cases the quotient is zero. */
+ return mpfr_set (r, x, rnd);
+ }
+ /* regular cases */
+ /* if 2^(ex-1) <= |x| < 2^ex, and 2^(ey-1) <= |y| < 2^ey,
+ then |x/y| < 2^(ex-ey+1) */
+ mpfr_init2 (q,
+ MAX (MPFR_PREC_MIN, mpfr_get_exp (x) - mpfr_get_exp (y) + 1));
+ mpfr_div (q, x, y, GMP_RNDZ);
+ mpfr_trunc (q, q); /* may change inexact flag */
+ mpfr_prec_round (q, mpfr_get_prec (q) + mpfr_get_prec (y), GMP_RNDZ);
+ inexact = mpfr_mul (q, q, y, GMP_RNDZ); /* exact */
+ inexact = mpfr_sub (r, x, q, rnd);
+ mpfr_clear (q);
+ return inexact;
+}
+
+static void
+test_failed (mpfr_t erem, mpfr_t grem, mpfr_t x, mpfr_t y, mp_rnd_t rnd)
+{
+ printf ("error : mpfr_fmod (r, x, y, rnd)\n x = ");
+ mpfr_out_str (stdout, 10, 0, x, GMP_RNDD);
+ printf ("\n y = ");
+ mpfr_out_str (stdout, 10, 0, y, GMP_RNDD);
+ printf ("\nrnd = %s\n", mpfr_print_rnd_mode (rnd));
+ printf ("\n expected r = ");
+ mpfr_out_str (stdout, 10, 0, erem, GMP_RNDD);
+ printf ("\n got r = ");
+ mpfr_out_str (stdout, 10, 0, grem, GMP_RNDD);
+ putchar ('\n');
+
+ mpfr_clears (erem, grem, x, y, (mpfr_ptr) 0);
+ exit (1);
+}
+
+static void
+check (mpfr_t r0, mpfr_t x, mpfr_t y, mp_rnd_t rnd)
+{
+ int inex0, inex1;
+ mpfr_t r1;
+ mpfr_init2 (r1, mpfr_get_prec (r0));
+
+ inex0 = mpfr_fmod (r0, x, y, rnd);
+ inex1 = slow_fmod (r1, x, y, rnd);
+ if (!mpfr_equal_p (r0, r1))
+ test_failed (r1, r0, x, y, rnd);
+ MPFR_ASSERTN (inex0 == inex1);
+ mpfr_clear (r1);
+}
+
+static void
+special (void)
+{
+ int inexact;
+ mpfr_t x, y, r;
+ mpfr_inits (x, y, r, (mpfr_ptr) 0);
+
+ /* NaN mod NaN is NaN */
+ mpfr_set_nan (x);
+ mpfr_set_nan (y);
+ inexact = mpfr_fmod (r, x, y, GMP_RNDN);
+ if (!mpfr_nan_p (r))
+ test_failed (r, x, x, y, GMP_RNDN);
+ if (inexact)
+ {
+ printf ("error : mpfr_fmod (NaN, NaN) should be exact\n");
+ goto error;
+ }
+
+ /* NaN mod +0 is NaN */
+ mpfr_set_ui (y, 0, GMP_RNDN);
+ inexact = mpfr_fmod (r, x, y, GMP_RNDN);
+ if (!mpfr_nan_p (r))
+ test_failed (r, x, x, y, GMP_RNDN);
+ if (inexact)
+ {
+ printf ("error : mpfr_fmod (NaN, +0) should be exact\n");
+ goto error;
+ }
+
+ /* 3.1415 mod +0 is NaN */
+ mpfr_set_d (x, 3.1415, GMP_RNDN);
+ inexact = mpfr_fmod (r, x, y, GMP_RNDN);
+ if (!mpfr_nan_p (r))
+ test_failed (r, x, x, y, GMP_RNDN);
+ if (inexact)
+ {
+ printf ("error : mpfr_fmod (3.1415, NaN) should be exact\n");
+ goto error;
+ }
+
+ /* 3.1415 mod +Inf is 3.1415 */
+ mpfr_set_inf (y, 1);
+ inexact = mpfr_fmod (r, x, y, GMP_RNDN);
+ if (MPFR_IS_SINGULAR (r))
+ test_failed (r, x, x, y, GMP_RNDN);
+ if (inexact)
+ {
+ printf ("error : mpfr_fmod (3.1415, +Inf) should be exact\n");
+ goto error;
+ }
+
+ mpfr_clears (x, y, r, (mpfr_ptr) 0);
+ return;
+
+ error:
+ mpfr_clears (x, y, r, (mpfr_ptr) 0);
+ exit (1);
+
+
+}
+
+int
+main (int argc, char *argv[])
+{
+ mpfr_t x, y, r;
+
+ tests_start_mpfr ();
+ mpfr_inits (x, y, r, (mpfr_ptr) 0);
+
+ test_generic (2, 100, 100);
+
+ special ();
+
+ /* remainder = 0 */
+ mpfr_set_str (y, "FEDCBA987654321p-64", 16, GMP_RNDN);
+ mpfr_pow_ui (x, y, 42, GMP_RNDN);
+ check (r, x, y, GMP_RNDN);
+
+ /* x < y */
+ mpfr_mul_d (x, y, .12345, GMP_RNDN);
+ check (r, x, y, GMP_RNDN);
+
+ /* sign(x) = sign (r) */
+ mpfr_set_str (x, "123798", 10, GMP_RNDN);
+ mpfr_set_str (y, "10", 10, GMP_RNDN);
+ check (r, x, y, GMP_RNDN);
+
+ /* huge difference between precisions */
+ mpfr_set_prec (x, 314);
+ mpfr_const_pi (x, GMP_RNDD); /* x = pi */
+ mpfr_set_prec (y, 8);
+ mpfr_set_ui (y, 1, GMP_RNDD);
+ mpfr_div_2ui (y, y, 3, GMP_RNDD); /* y = 1/8 */
+ mpfr_set_prec (r, 123);
+ check (r, x, y, GMP_RNDD);
+ mpfr_clears (x, y, r, (mpfr_ptr) 0);
+
+ tests_end_mpfr ();
+ return 0;
+}
+
+#else
+
+int
+main (void)
+{
+ printf ("Warning! Test disabled for this MPFR version.\n");
+ return 0;
+}
+
+#endif
projects / msp430-gcc.git / blobdiff