--- /dev/null
+/* Test file for mpfr_sub.
+
+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 <stdlib.h>
+
+#include "mpfr-test.h"
+
+#ifdef CHECK_EXTERNAL
+static int
+test_sub (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mp_rnd_t rnd_mode)
+{
+ int res;
+ int ok = rnd_mode == GMP_RNDN && mpfr_number_p (b) && mpfr_number_p (c);
+ if (ok)
+ {
+ mpfr_print_raw (b);
+ printf (" ");
+ mpfr_print_raw (c);
+ }
+ res = mpfr_sub (a, b, c, rnd_mode);
+ if (ok)
+ {
+ printf (" ");
+ mpfr_print_raw (a);
+ printf ("\n");
+ }
+ return res;
+}
+#else
+#define test_sub mpfr_sub
+#endif
+
+static void
+check_diverse (void)
+{
+ mpfr_t x, y, z;
+ int inexact;
+
+ mpfr_init (x);
+ mpfr_init (y);
+ mpfr_init (z);
+
+ /* check corner case cancel=0, but add_exp=1 */
+ mpfr_set_prec (x, 2);
+ mpfr_set_prec (y, 4);
+ mpfr_set_prec (z, 2);
+ mpfr_setmax (y, __gmpfr_emax);
+ mpfr_set_str_binary (z, "0.1E-10"); /* tiny */
+ test_sub (x, y, z, GMP_RNDN); /* should round to 2^emax, i.e. overflow */
+ if (!mpfr_inf_p (x) || mpfr_sgn (x) < 0)
+ {
+ printf ("Error in mpfr_sub(a,b,c,RNDN) for b=maxfloat, prec(a)<prec(b), c tiny\n");
+ exit (1);
+ }
+
+ /* other coverage test */
+ mpfr_set_prec (x, 2);
+ mpfr_set_prec (y, 2);
+ mpfr_set_prec (z, 2);
+ mpfr_set_ui (y, 1, GMP_RNDN);
+ mpfr_set_si (z, -2, GMP_RNDN);
+ test_sub (x, y, z, GMP_RNDD);
+ if (mpfr_cmp_ui (x, 3))
+ {
+ printf ("Error in mpfr_sub(1,-1,RNDD)\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 288);
+ mpfr_set_prec (y, 288);
+ mpfr_set_prec (z, 288);
+ mpfr_set_str_binary (y, "0.111000110011000001000111101010111011110011101001101111111110000011100101000001001010110010101010011001010100000001110011110001010101101010001011101110100100001011110100110000101101100011010001001011011010101010000010001101001000110010010111111011110001111101001000101101001100101100101000E80");
+ mpfr_set_str_binary (z, "0.100001111111101001011010001100110010100111001110000110011101001011010100001000000100111011010110110010000000000010101101011000010000110001110010100001100101011100100100001011000100011110000001010101000100011101001000010111100000111000111011001000100100011000100000010010111000000100100111E-258");
+ inexact = test_sub (x, y, z, GMP_RNDN);
+ if (inexact <= 0)
+ {
+ printf ("Wrong inexact flag for prec=288\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 32);
+ mpfr_set_prec (y, 63);
+ mpfr_set_prec (z, 63);
+ mpfr_set_str_binary (x, "0.101101111011011100100100100111E31");
+ mpfr_set_str_binary (y, "0.111110010010100100110101101010001001100101110001000101110111111E-1");
+ test_sub (z, x, y, GMP_RNDN);
+ mpfr_set_str_binary (y, "0.1011011110110111001001001001101100000110110101101100101001011E31");
+ if (mpfr_cmp (z, y))
+ {
+ printf ("Error in mpfr_sub (5)\n");
+ printf ("expected "); mpfr_print_binary (y); puts ("");
+ printf ("got "); mpfr_print_binary (z); puts ("");
+ exit (1);
+ }
+
+ mpfr_set_prec (y, 63);
+ mpfr_set_prec (z, 63);
+ mpfr_set_str_binary (y, "0.1011011110110111001001001001101100000110110101101100101001011E31");
+ mpfr_sub_ui (z, y, 1541116494, GMP_RNDN);
+ mpfr_set_str_binary (y, "-0.11111001001010010011010110101E-1");
+ if (mpfr_cmp (z, y))
+ {
+ printf ("Error in mpfr_sub (7)\n");
+ printf ("expected "); mpfr_print_binary (y); puts ("");
+ printf ("got "); mpfr_print_binary (z); puts ("");
+ exit (1);
+ }
+
+ mpfr_set_prec (y, 63);
+ mpfr_set_prec (z, 63);
+ mpfr_set_str_binary (y, "0.1011011110110111001001001001101100000110110101101100101001011E31");
+ mpfr_sub_ui (z, y, 1541116494, GMP_RNDN);
+ mpfr_set_str_binary (y, "-0.11111001001010010011010110101E-1");
+ if (mpfr_cmp (z, y))
+ {
+ printf ("Error in mpfr_sub (6)\n");
+ printf ("expected "); mpfr_print_binary (y); puts ("");
+ printf ("got "); mpfr_print_binary (z); puts ("");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 32);
+ mpfr_set_prec (y, 32);
+ mpfr_set_str_binary (x, "0.10110111101001110100100101111000E0");
+ mpfr_set_str_binary (y, "0.10001100100101000100110111000100E0");
+ if ((inexact = test_sub (x, x, y, GMP_RNDN)))
+ {
+ printf ("Wrong inexact flag (2): got %d instead of 0\n", inexact);
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 32);
+ mpfr_set_prec (y, 32);
+ mpfr_set_str_binary (x, "0.11111000110111011000100111011010E0");
+ mpfr_set_str_binary (y, "0.10011111101111000100001000000000E-3");
+ if ((inexact = test_sub (x, x, y, GMP_RNDN)))
+ {
+ printf ("Wrong inexact flag (1): got %d instead of 0\n", inexact);
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 33);
+ mpfr_set_prec (y, 33);
+ mpfr_set_ui (x, 1, GMP_RNDN);
+ mpfr_set_str_binary (y, "-0.1E-32");
+ mpfr_add (x, x, y, GMP_RNDN);
+ mpfr_set_str_binary (y, "0.111111111111111111111111111111111E0");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_sub (1 - 1E-33) with prec=33\n");
+ printf ("Expected "); mpfr_print_binary (y); puts ("");
+ printf ("got "); mpfr_print_binary (x); puts ("");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 32);
+ mpfr_set_prec (y, 33);
+ mpfr_set_ui (x, 1, GMP_RNDN);
+ mpfr_set_str_binary (y, "-0.1E-32");
+ mpfr_add (x, x, y, GMP_RNDN);
+ if (mpfr_cmp_ui (x, 1))
+ {
+ printf ("Error in mpfr_sub (1 - 1E-33) with prec=32\n");
+ printf ("Expected 1.0, got "); mpfr_print_binary (x); puts ("");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 65);
+ mpfr_set_prec (y, 65);
+ mpfr_set_prec (z, 64);
+ mpfr_set_str_binary (x, "1.1110111011110001110111011111111111101000011001011100101100101101");
+ mpfr_set_str_binary (y, "0.1110111011110001110111011111111111101000011001011100101100101100");
+ test_sub (z, x, y, GMP_RNDZ);
+ if (mpfr_cmp_ui (z, 1))
+ {
+ printf ("Error in mpfr_sub (1)\n");
+ exit (1);
+ }
+ test_sub (z, x, y, GMP_RNDU);
+ mpfr_set_str_binary (x, "1.000000000000000000000000000000000000000000000000000000000000001");
+ if (mpfr_cmp (z, x))
+ {
+ printf ("Error in mpfr_sub (2)\n");
+ exit (1);
+ }
+ mpfr_set_str_binary (x, "1.1110111011110001110111011111111111101000011001011100101100101101");
+ test_sub (z, x, y, GMP_RNDN);
+ if (mpfr_cmp_ui (z, 1))
+ {
+ printf ("Error in mpfr_sub (3)\n");
+ exit (1);
+ }
+ mpfr_set_prec (x, 66);
+ mpfr_set_str_binary (x, "1.11101110111100011101110111111111111010000110010111001011001010111");
+ test_sub (z, x, y, GMP_RNDN);
+ if (mpfr_cmp_ui (z, 1))
+ {
+ printf ("Error in mpfr_sub (4)\n");
+ exit (1);
+ }
+
+ /* check in-place operations */
+ mpfr_set_ui (x, 1, GMP_RNDN);
+ test_sub (x, x, x, GMP_RNDN);
+ if (mpfr_cmp_ui(x, 0))
+ {
+ printf ("Error for mpfr_sub (x, x, x, GMP_RNDN) with x=1.0\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 53);
+ mpfr_set_prec (y, 53);
+ mpfr_set_prec (z, 53);
+ mpfr_set_str1 (x, "1.229318102e+09");
+ mpfr_set_str1 (y, "2.32221184180698677665e+05");
+ test_sub (z, x, y, GMP_RNDN);
+ if (mpfr_cmp_str1 (z, "1229085880.815819263458251953125"))
+ {
+ printf ("Error in mpfr_sub (1.22e9 - 2.32e5)\n");
+ printf ("expected 1229085880.815819263458251953125, got ");
+ mpfr_out_str(stdout, 10, 0, z, GMP_RNDN);
+ putchar('\n');
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 112);
+ mpfr_set_prec (y, 98);
+ mpfr_set_prec (z, 54);
+ mpfr_set_str_binary (x, "0.11111100100000000011000011100000101101010001000111E-401");
+ mpfr_set_str_binary (y, "0.10110000100100000101101100011111111011101000111000101E-464");
+ test_sub (z, x, y, GMP_RNDN);
+ if (mpfr_cmp (z, x)) {
+ printf ("mpfr_sub(z, x, y) failed for prec(x)=112, prec(y)=98\n");
+ printf ("expected "); mpfr_print_binary (x); puts ("");
+ printf ("got "); mpfr_print_binary (z); puts ("");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 33);
+ mpfr_set_ui (x, 1, GMP_RNDN);
+ mpfr_div_2exp (x, x, 32, GMP_RNDN);
+ mpfr_sub_ui (x, x, 1, GMP_RNDN);
+
+ mpfr_set_prec (x, 5);
+ mpfr_set_prec (y, 5);
+ mpfr_set_str_binary (x, "1e-12");
+ mpfr_set_ui (y, 1, GMP_RNDN);
+ test_sub (x, y, x, GMP_RNDD);
+ mpfr_set_str_binary (y, "0.11111");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_sub (x, y, x, GMP_RNDD) for x=2^(-12), y=1\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 24);
+ mpfr_set_prec (y, 24);
+ mpfr_set_str_binary (x, "-0.100010000000000000000000E19");
+ mpfr_set_str_binary (y, "0.100000000000000000000100E15");
+ mpfr_add (x, x, y, GMP_RNDD);
+ mpfr_set_str_binary (y, "-0.1E19");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_add (2)\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 2);
+ mpfr_set_prec (y, 10);
+ mpfr_set_prec (z, 10);
+ mpfr_set_ui (y, 0, GMP_RNDN);
+ mpfr_set_str_binary (z, "0.10001");
+ if (test_sub (x, y, z, GMP_RNDN) <= 0)
+ {
+ printf ("Wrong inexact flag in x=mpfr_sub(0,z) for prec(z)>prec(x)\n");
+ exit (1);
+ }
+ if (test_sub (x, z, y, GMP_RNDN) >= 0)
+ {
+ printf ("Wrong inexact flag in x=mpfr_sub(z,0) for prec(z)>prec(x)\n");
+ exit (1);
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (z);
+}
+
+static void
+bug_ddefour(void)
+{
+ mpfr_t ex, ex1, ex2, ex3, tot, tot1;
+
+ mpfr_init2(ex, 53);
+ mpfr_init2(ex1, 53);
+ mpfr_init2(ex2, 53);
+ mpfr_init2(ex3, 53);
+ mpfr_init2(tot, 150);
+ mpfr_init2(tot1, 150);
+
+ mpfr_set_ui( ex, 1, GMP_RNDN);
+ mpfr_mul_2exp( ex, ex, 906, GMP_RNDN);
+ mpfr_log( tot, ex, GMP_RNDN);
+ mpfr_set( ex1, tot, GMP_RNDN); /* ex1 = high(tot) */
+ test_sub( ex2, tot, ex1, GMP_RNDN); /* ex2 = high(tot - ex1) */
+ test_sub( tot1, tot, ex1, GMP_RNDN); /* tot1 = tot - ex1 */
+ mpfr_set( ex3, tot1, GMP_RNDN); /* ex3 = high(tot - ex1) */
+
+ if (mpfr_cmp(ex2, ex3))
+ {
+ printf ("Error in ddefour test.\n");
+ printf ("ex2="); mpfr_print_binary (ex2); puts ("");
+ printf ("ex3="); mpfr_print_binary (ex3); puts ("");
+ exit (1);
+ }
+
+ mpfr_clear (ex);
+ mpfr_clear (ex1);
+ mpfr_clear (ex2);
+ mpfr_clear (ex3);
+ mpfr_clear (tot);
+ mpfr_clear (tot1);
+}
+
+/* if u = o(x-y), v = o(u-x), w = o(v+y), then x-y = u-w */
+static void
+check_two_sum (mp_prec_t p)
+{
+ mpfr_t x, y, u, v, w;
+ mp_rnd_t rnd;
+ int inexact;
+
+ mpfr_init2 (x, p);
+ mpfr_init2 (y, p);
+ mpfr_init2 (u, p);
+ mpfr_init2 (v, p);
+ mpfr_init2 (w, p);
+ mpfr_urandomb (x, RANDS);
+ mpfr_urandomb (y, RANDS);
+ if (mpfr_cmpabs (x, y) < 0)
+ mpfr_swap (x, y);
+ rnd = GMP_RNDN;
+ inexact = test_sub (u, x, y, rnd);
+ test_sub (v, u, x, rnd);
+ mpfr_add (w, v, y, rnd);
+ /* as u = (x-y) - w, we should have inexact and w of opposite signs */
+ if (((inexact == 0) && mpfr_cmp_ui (w, 0)) ||
+ ((inexact > 0) && (mpfr_cmp_ui (w, 0) <= 0)) ||
+ ((inexact < 0) && (mpfr_cmp_ui (w, 0) >= 0)))
+ {
+ printf ("Wrong inexact flag for prec=%u, rnd=%s\n", (unsigned)p,
+ mpfr_print_rnd_mode (rnd));
+ printf ("x="); mpfr_print_binary(x); puts ("");
+ printf ("y="); mpfr_print_binary(y); puts ("");
+ printf ("u="); mpfr_print_binary(u); puts ("");
+ printf ("v="); mpfr_print_binary(v); puts ("");
+ printf ("w="); mpfr_print_binary(w); puts ("");
+ printf ("inexact = %d\n", inexact);
+ exit (1);
+ }
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (u);
+ mpfr_clear (v);
+ mpfr_clear (w);
+}
+
+#define MAX_PREC 200
+
+static void
+check_inexact (void)
+{
+ mpfr_t x, y, z, u;
+ mp_prec_t px, py, pu, pz;
+ int inexact, cmp;
+ mp_rnd_t rnd;
+
+ mpfr_init (x);
+ mpfr_init (y);
+ mpfr_init (z);
+ mpfr_init (u);
+
+ mpfr_set_prec (x, 2);
+ mpfr_set_ui (x, 6, GMP_RNDN);
+ mpfr_div_2exp (x, x, 4, GMP_RNDN); /* x = 6/16 */
+ mpfr_set_prec (y, 2);
+ mpfr_set_si (y, -1, GMP_RNDN);
+ mpfr_div_2exp (y, y, 4, GMP_RNDN); /* y = -1/16 */
+ inexact = test_sub (y, y, x, GMP_RNDN); /* y = round(-7/16) = -1/2 */
+ if (inexact >= 0)
+ {
+ printf ("Error: wrong inexact flag for -1/16 - (6/16)\n");
+ exit (1);
+ }
+
+ for (px=2; px<MAX_PREC; px++)
+ {
+ mpfr_set_prec (x, px);
+ do
+ {
+ mpfr_urandomb (x, RANDS);
+ }
+ while (mpfr_cmp_ui (x, 0) == 0);
+ for (pu=2; pu<MAX_PREC; pu++)
+ {
+ mpfr_set_prec (u, pu);
+ do
+ {
+ mpfr_urandomb (u, RANDS);
+ }
+ while (mpfr_cmp_ui (u, 0) == 0);
+ {
+ py = 2 + (randlimb () % (MAX_PREC - 2));
+ mpfr_set_prec (y, py);
+ /* warning: MPFR_EXP is undefined for 0 */
+ pz = (mpfr_cmpabs (x, u) >= 0) ? MPFR_EXP(x) - MPFR_EXP(u)
+ : MPFR_EXP(u) - MPFR_EXP(x);
+ pz = pz + MAX(MPFR_PREC(x), MPFR_PREC(u));
+ mpfr_set_prec (z, pz);
+ rnd = RND_RAND ();
+ if (test_sub (z, x, u, rnd))
+ {
+ printf ("z <- x - u should be exact\n");
+ exit (1);
+ }
+ {
+ rnd = RND_RAND ();
+ inexact = test_sub (y, x, u, rnd);
+ cmp = mpfr_cmp (y, z);
+ if (((inexact == 0) && (cmp != 0)) ||
+ ((inexact > 0) && (cmp <= 0)) ||
+ ((inexact < 0) && (cmp >= 0)))
+ {
+ printf ("Wrong inexact flag for rnd=%s\n",
+ mpfr_print_rnd_mode(rnd));
+ printf ("expected %d, got %d\n", cmp, inexact);
+ printf ("x="); mpfr_print_binary (x); puts ("");
+ printf ("u="); mpfr_print_binary (u); puts ("");
+ printf ("y= "); mpfr_print_binary (y); puts ("");
+ printf ("x-u="); mpfr_print_binary (z); puts ("");
+ exit (1);
+ }
+ }
+ }
+ }
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (z);
+ mpfr_clear (u);
+}
+
+#define TEST_FUNCTION test_sub
+#define TWO_ARGS
+#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), randlimb () % 100)
+#include "tgeneric.c"
+
+int
+main (void)
+{
+ mp_prec_t p;
+ unsigned int i;
+
+ tests_start_mpfr ();
+
+ check_diverse ();
+ check_inexact ();
+ bug_ddefour ();
+ for (p=2; p<200; p++)
+ for (i=0; i<50; i++)
+ check_two_sum (p);
+ test_generic (2, 800, 100);
+
+ tests_end_mpfr ();
+ return 0;
+}
projects / msp430-gcc.git / blobdiff