--- /dev/null
+/* Test file for mpfr_hypot.
+
+Copyright 2001, 2002, 2003, 2004, 2005, 2006, 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 <limits.h>
+#include <stdlib.h>
+
+#include "mpfr-test.h"
+
+/* Non-zero when extended exponent range */
+static int ext = 0;
+
+static void
+special (void)
+{
+ mpfr_t x, y, z;
+
+ mpfr_init (x);
+ mpfr_init (y);
+ mpfr_init (z);
+
+ mpfr_set_nan (x);
+ mpfr_hypot (z, x, y, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_nan_p (z));
+
+ mpfr_set_inf (x, 1);
+ mpfr_set_inf (y, -1);
+ mpfr_hypot (z, x, y, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0);
+
+ mpfr_set_inf (x, -1);
+ mpfr_set_nan (y);
+ mpfr_hypot (z, x, y, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0);
+
+ mpfr_set_nan (x);
+ mpfr_set_inf (y, -1);
+ mpfr_hypot (z, x, y, GMP_RNDN);
+ MPFR_ASSERTN(mpfr_inf_p (z) && mpfr_sgn (z) > 0);
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (z);
+}
+
+static void
+test_large (void)
+{
+ mpfr_t x, y, z, t;
+
+ mpfr_init (x);
+ mpfr_init (y);
+ mpfr_init (z);
+ mpfr_init (t);
+
+ mpfr_set_ui (x, 21, GMP_RNDN);
+ mpfr_set_ui (y, 28, GMP_RNDN);
+ mpfr_set_ui (z, 35, GMP_RNDN);
+
+ mpfr_mul_2ui (x, x, MPFR_EMAX_DEFAULT-6, GMP_RNDN);
+ mpfr_mul_2ui (y, y, MPFR_EMAX_DEFAULT-6, GMP_RNDN);
+ mpfr_mul_2ui (z, z, MPFR_EMAX_DEFAULT-6, GMP_RNDN);
+
+ mpfr_hypot (t, x, y, GMP_RNDN);
+ if (mpfr_cmp (z, t))
+ {
+ printf ("Error in test_large: got\n");
+ mpfr_out_str (stdout, 2, 0, t, GMP_RNDN);
+ printf ("\ninstead of\n");
+ mpfr_out_str (stdout, 2, 0, z, GMP_RNDN);
+ printf ("\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 53);
+ mpfr_set_prec (t, 53);
+ mpfr_set_prec (y, 53);
+ mpfr_set_str_binary (x, "0.11101100011110000011101000010101010011001101000001100E-1021");
+ mpfr_set_str_binary (y, "0.11111001010011000001110110001101011100001000010010100E-1021");
+ mpfr_hypot (t, x, y, GMP_RNDN);
+ mpfr_set_str_binary (z, "0.101010111100110111101110111110100110010011001010111E-1020");
+ if (mpfr_cmp (z, t))
+ {
+ printf ("Error in test_large: got\n");
+ mpfr_out_str (stdout, 2, 0, t, GMP_RNDN);
+ printf ("\ninstead of\n");
+ mpfr_out_str (stdout, 2, 0, z, GMP_RNDN);
+ printf ("\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 240);
+ mpfr_set_prec (y, 22);
+ mpfr_set_prec (z, 2);
+ mpfr_set_prec (t, 2);
+ mpfr_set_str_binary (x, "0.100111011010010010110100000100000001100010011100110101101111111101011110111011011101010110100101111000111100010100110000100101011110111011100110100110100101110101101100011000001100000001111101110100100100011011011010110111100110010101000111e-7");
+ mpfr_set_str_binary (y, "0.1111000010000011000111E-10");
+ mpfr_hypot (t, x, y, GMP_RNDN);
+ mpfr_set_str_binary (z, "0.11E-7");
+ if (mpfr_cmp (z, t))
+ {
+ printf ("Error in test_large: got\n");
+ mpfr_out_str (stdout, 2, 0, t, GMP_RNDN);
+ printf ("\ninstead of\n");
+ mpfr_out_str (stdout, 2, 0, z, GMP_RNDN);
+ printf ("\n");
+ exit (1);
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (z);
+ mpfr_clear (t);
+}
+
+static void
+test_small (void)
+{
+ mpfr_t x, y, z1, z2;
+ int inex1, inex2;
+ unsigned int flags;
+
+ /* Test hypot(x,x) with x = 2^(emin-1). Result is x * sqrt(2). */
+ mpfr_inits2 (8, x, y, z1, z2, (mpfr_ptr) 0);
+ mpfr_set_si_2exp (x, 1, mpfr_get_emin () - 1, GMP_RNDN);
+ mpfr_set_si_2exp (y, 1, mpfr_get_emin () - 1, GMP_RNDN);
+ mpfr_set_ui (z1, 2, GMP_RNDN);
+ inex1 = mpfr_sqrt (z1, z1, GMP_RNDN);
+ inex2 = mpfr_mul (z1, z1, x, GMP_RNDN);
+ MPFR_ASSERTN (inex2 == 0);
+ mpfr_clear_flags ();
+ inex2 = mpfr_hypot (z2, x, y, GMP_RNDN);
+ flags = __gmpfr_flags;
+ if (mpfr_cmp (z1, z2) != 0)
+ {
+ printf ("Error in test_small%s\nExpected ",
+ ext ? ", extended exponent range" : "");
+ mpfr_out_str (stdout, 2, 0, z1, GMP_RNDN);
+ printf ("\nGot ");
+ mpfr_out_str (stdout, 2, 0, z2, GMP_RNDN);
+ printf ("\n");
+ exit (1);
+ }
+ if (! SAME_SIGN (inex1, inex2))
+ {
+ printf ("Bad ternary value in test_small%s\nExpected %d, got %d\n",
+ ext ? ", extended exponent range" : "", inex1, inex2);
+ exit (1);
+ }
+ if (flags != MPFR_FLAGS_INEXACT)
+ {
+ printf ("Bad flags in test_small%s\nExpected %u, got %u\n",
+ ext ? ", extended exponent range" : "",
+ (unsigned int) MPFR_FLAGS_INEXACT, flags);
+ exit (1);
+ }
+ mpfr_clears (x, y, z1, z2, (mpfr_ptr) 0);
+}
+
+static void
+test_large_small (void)
+{
+ mpfr_t x, y, z;
+ int inexact, inex2, r;
+
+ mpfr_init2 (x, 3);
+ mpfr_init2 (y, 2);
+ mpfr_init2 (z, 2);
+
+ mpfr_set_ui_2exp (x, 1, mpfr_get_emax () / 2, GMP_RNDN);
+ mpfr_set_ui_2exp (y, 1, -1, GMP_RNDN);
+ inexact = mpfr_hypot (z, x, y, GMP_RNDN);
+ if (inexact >= 0 || mpfr_cmp (x, z))
+ {
+ printf ("Error 1 in test_large_small%s\n",
+ ext ? ", extended exponent range" : "");
+ exit (1);
+ }
+
+ mpfr_mul_ui (x, x, 5, GMP_RNDN);
+ inexact = mpfr_hypot (z, x, y, GMP_RNDN);
+ if (mpfr_cmp (x, z) >= 0)
+ {
+ printf ("Error 2 in test_large_small%s\n",
+ ext ? ", extended exponent range" : "");
+ printf ("x = ");
+ mpfr_out_str (stdout, 2, 0, x, GMP_RNDN);
+ printf ("\n");
+ printf ("y = ");
+ mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
+ printf ("\n");
+ printf ("z = ");
+ mpfr_out_str (stdout, 2, 0, z, GMP_RNDN);
+ printf (" (in precision 2) instead of\n ");
+ mpfr_out_str (stdout, 2, 2, x, GMP_RNDU);
+ printf ("\n");
+ exit (1);
+ }
+
+ RND_LOOP(r)
+ {
+ mpfr_set_ui_2exp (x, 1, mpfr_get_emax () - 1, GMP_RNDN);
+ mpfr_set_ui_2exp (y, 1, mpfr_get_emin (), GMP_RNDN);
+ inexact = mpfr_hypot (z, x, y, (mp_rnd_t) r);
+ inex2 = mpfr_add_ui (y, x, 1, (mp_rnd_t) r);
+ if (! mpfr_equal_p (y, z) || ! SAME_SIGN (inexact, inex2))
+ {
+ printf ("Error 3 in test_large_small, %s%s\n",
+ mpfr_print_rnd_mode ((mp_rnd_t) r),
+ ext ? ", extended exponent range" : "");
+ printf ("Expected ");
+ mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
+ printf (", inex %c 0\n", (mp_rnd_t) r == GMP_RNDU ? '>' : '<');
+ printf ("Got ");
+ mpfr_out_str (stdout, 2, 0, y, GMP_RNDN);
+ printf (", inex = %d\n", inexact);
+ exit (1);
+ }
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (z);
+}
+
+static void
+check_overflow (void)
+{
+ mpfr_t x, y;
+ int inex, r;
+
+ mpfr_inits2 (8, x, y, (mpfr_ptr) 0);
+ mpfr_set_ui (x, 1, GMP_RNDN);
+ mpfr_setmax (x, mpfr_get_emax ());
+
+ RND_LOOP(r)
+ {
+ mpfr_clear_overflow ();
+ inex = mpfr_hypot (y, x, x, (mp_rnd_t) r);
+ if (!mpfr_overflow_p ())
+ {
+ printf ("No overflow in check_overflow for %s%s\n",
+ mpfr_print_rnd_mode ((mp_rnd_t) r),
+ ext ? ", extended exponent range" : "");
+ exit (1);
+ }
+ MPFR_ASSERTN (MPFR_IS_POS (y));
+ if (r == GMP_RNDZ || r == GMP_RNDD)
+ {
+ MPFR_ASSERTN (inex < 0);
+ MPFR_ASSERTN (!mpfr_inf_p (y));
+ mpfr_nexttoinf (y);
+ }
+ else
+ {
+ MPFR_ASSERTN (inex > 0);
+ }
+ MPFR_ASSERTN (mpfr_inf_p (y));
+ }
+
+ mpfr_clears (x, y, (mpfr_ptr) 0);
+}
+
+#define TWO_ARGS
+#define TEST_FUNCTION mpfr_hypot
+#include "tgeneric.c"
+
+static void
+alltst (void)
+{
+ mp_exp_t emin, emax;
+
+ ext = 0;
+ test_small ();
+ test_large_small ();
+ check_overflow ();
+
+ emin = mpfr_get_emin ();
+ emax = mpfr_get_emax ();
+ set_emin (MPFR_EMIN_MIN);
+ set_emax (MPFR_EMAX_MAX);
+ if (mpfr_get_emin () != emin || mpfr_get_emax () != emax)
+ {
+ ext = 1;
+ test_small ();
+ test_large_small ();
+ check_overflow ();
+ set_emin (emin);
+ set_emax (emax);
+ }
+}
+
+int
+main (int argc, char *argv[])
+{
+ tests_start_mpfr ();
+
+ special ();
+
+ test_large ();
+ alltst ();
+
+ test_generic (2, 100, 10);
+
+ tests_end_mpfr ();
+ return 0;
+}
projects / msp430-gcc.git / blobdiff