summaryrefslogtreecommitdiff
path: root/mpfr/tests/tsub.c
diff options
context:
space:
mode:
Diffstat (limited to 'mpfr/tests/tsub.c')
-rw-r--r--mpfr/tests/tsub.c415
1 files changed, 415 insertions, 0 deletions
diff --git a/mpfr/tests/tsub.c b/mpfr/tests/tsub.c
new file mode 100644
index 000000000..a5319063d
--- /dev/null
+++ b/mpfr/tests/tsub.c
@@ -0,0 +1,415 @@
+/* Test file for mpfr_sub.
+
+Copyright (C) 2001 Free Software Foundation.
+
+This file is part of the MPFR Library.
+
+The 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 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 MPFR Library; see the file COPYING.LIB. If not, write to
+the Free Software Foundation, Inc., 59 Temple Place - Suite 330, Boston,
+MA 02111-1307, USA. */
+
+#include <math.h>
+#include <stdio.h>
+#include <stdlib.h>
+#include "gmp.h"
+#include "mpfr.h"
+#include "mpfr-impl.h"
+#include "mpfr-test.h"
+
+void check_diverse _PROTO((void));
+void bug_ddefour _PROTO((void));
+void check_two_sum _PROTO((mp_prec_t));
+void check_inexact _PROTO((void));
+
+void
+check_diverse ()
+{
+ mpfr_t x, y, z;
+ double res, got;
+ int inexact;
+
+ mpfr_init (x);
+ mpfr_init (y);
+ mpfr_init (z);
+
+ mpfr_set_prec (x, 32);
+ mpfr_set_prec (y, 63);
+ mpfr_set_prec (z, 63);
+ mpfr_set_str_raw (x, "0.101101111011011100100100100111E31");
+ mpfr_set_str_raw (y, "0.111110010010100100110101101010001001100101110001000101110111111E-1");
+ mpfr_sub (z, x, y, GMP_RNDN);
+ mpfr_set_str_raw (y, "0.1011011110110111001001001001101100000110110101101100101001011E31");
+ if (mpfr_cmp (z, y))
+ {
+ fprintf (stderr, "Error in mpfr_sub (5)\n");
+ printf ("expected "); mpfr_print_raw (y); putchar ('\n');
+ printf ("got "); mpfr_print_raw (z); putchar ('\n');
+ exit (1);
+ }
+
+ mpfr_set_prec (y, 63);
+ mpfr_set_prec (z, 63);
+ mpfr_set_str_raw (y, "0.1011011110110111001001001001101100000110110101101100101001011E31");
+ mpfr_sub_ui (z, y, 1541116494, GMP_RNDN);
+ mpfr_set_str_raw (y, "-0.11111001001010010011010110101E-1");
+ if (mpfr_cmp (z, y))
+ {
+ fprintf (stderr, "Error in mpfr_sub (7)\n");
+ printf ("expected "); mpfr_print_raw (y); putchar ('\n');
+ printf ("got "); mpfr_print_raw (z); putchar ('\n');
+ exit (1);
+ }
+
+ mpfr_set_prec (y, 63);
+ mpfr_set_prec (z, 63);
+ mpfr_set_str_raw (y, "0.1011011110110111001001001001101100000110110101101100101001011E31");
+ mpfr_sub_ui (z, y, 1541116494, GMP_RNDN);
+ mpfr_set_str_raw (y, "-0.11111001001010010011010110101E-1");
+ if (mpfr_cmp (z, y))
+ {
+ fprintf (stderr, "Error in mpfr_sub (6)\n");
+ printf ("expected "); mpfr_print_raw (y); putchar ('\n');
+ printf ("got "); mpfr_print_raw (z); putchar ('\n');
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 32);
+ mpfr_set_prec (y, 32);
+ mpfr_set_str_raw (x, "0.10110111101001110100100101111000E0");
+ mpfr_set_str_raw (y, "0.10001100100101000100110111000100E0");
+ if ((inexact = mpfr_sub (x, x, y, GMP_RNDN)))
+ {
+ fprintf (stderr, "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_raw (x, "0.11111000110111011000100111011010E0");
+ mpfr_set_str_raw (y, "0.10011111101111000100001000000000E-3");
+ if ((inexact = mpfr_sub (x, x, y, GMP_RNDN)))
+ {
+ fprintf (stderr, "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_raw (y, "-0.1E-32");
+ mpfr_add (x, x, y, GMP_RNDN);
+ mpfr_set_str_raw (y, "0.111111111111111111111111111111111E0");
+ if (mpfr_cmp (x, y))
+ {
+ fprintf (stderr, "Error in mpfr_sub (1 - 1E-33) with prec=33\n");
+ printf ("Expected "); mpfr_print_raw (y); putchar ('\n');
+ printf ("got "); mpfr_print_raw (x); putchar ('\n');
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 32);
+ mpfr_set_prec (y, 33);
+ mpfr_set_ui (x, 1, GMP_RNDN);
+ mpfr_set_str_raw (y, "-0.1E-32");
+ mpfr_add (x, x, y, GMP_RNDN);
+ if (mpfr_cmp_ui (x, 1))
+ {
+ fprintf (stderr, "Error in mpfr_sub (1 - 1E-33) with prec=32\n");
+ printf ("Expected 1.0, got "); mpfr_print_raw (x); putchar ('\n');
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 65);
+ mpfr_set_prec (y, 65);
+ mpfr_set_prec (z, 64);
+ mpfr_set_str_raw (x, "1.1110111011110001110111011111111111101000011001011100101100101101");
+ mpfr_set_str_raw (y, "0.1110111011110001110111011111111111101000011001011100101100101100");
+ mpfr_sub (z, x, y, GMP_RNDZ);
+ if (mpfr_cmp_ui (z, 1))
+ {
+ fprintf (stderr, "Error in mpfr_sub (1)\n");
+ exit (1);
+ }
+ mpfr_sub (z, x, y, GMP_RNDU);
+ mpfr_set_str_raw (x, "1.000000000000000000000000000000000000000000000000000000000000001");
+ if (mpfr_cmp (z, x))
+ {
+ fprintf (stderr, "Error in mpfr_sub (2)\n");
+ exit (1);
+ }
+ mpfr_set_str_raw (x, "1.1110111011110001110111011111111111101000011001011100101100101101");
+ mpfr_sub (z, x, y, GMP_RNDN);
+ if (mpfr_cmp_ui (z, 1))
+ {
+ fprintf (stderr, "Error in mpfr_sub (3)\n");
+ exit (1);
+ }
+ mpfr_set_prec (x, 66);
+ mpfr_set_str_raw (x, "1.11101110111100011101110111111111111010000110010111001011001010111");
+ mpfr_sub (z, x, y, GMP_RNDN);
+ if (mpfr_cmp_ui (z, 1))
+ {
+ fprintf (stderr, "Error in mpfr_sub (4)\n");
+ exit (1);
+ }
+
+ /* check in-place operations */
+ mpfr_set_d (x, 1.0, GMP_RNDN);
+ mpfr_sub (x, x, x, GMP_RNDN);
+ if (mpfr_get_d (x) != 0.0)
+ {
+ fprintf (stderr, "Error for mpfr_add (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_d (x, 1.229318102e+09, GMP_RNDN);
+ mpfr_set_d (y, 2.32221184180698677665e+05, GMP_RNDN);
+ mpfr_sub (z, x, y, GMP_RNDN);
+ res = 1229085880.815819263458251953125;
+ got = mpfr_get_d (z);
+ if (got != res)
+ {
+ fprintf (stderr, "Error in mpfr_sub (1.22e9 - 2.32e5)\n");
+ printf ("expected %1.20e, got %1.20e\n", res, got);
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 112);
+ mpfr_set_prec (y, 98);
+ mpfr_set_prec (z, 54);
+ mpfr_set_str_raw (x, "0.11111100100000000011000011100000101101010001000111E-401");
+ mpfr_set_str_raw (y, "0.10110000100100000101101100011111111011101000111000101E-464");
+ mpfr_sub (z, x, y, GMP_RNDN);
+ if (mpfr_cmp (z, x)) {
+ fprintf (stderr, "mpfr_sub(z, x, y) failed for prec(x)=112, prec(y)=98\n");
+ printf ("expected "); mpfr_print_raw (x); putchar('\n');
+ printf ("got "); mpfr_print_raw (z); putchar('\n');
+ 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_raw (x, "1e-12");
+ mpfr_set_ui (y, 1, GMP_RNDN);
+ mpfr_sub (x, y, x, GMP_RNDD);
+ mpfr_set_str_raw (y, "0.11111");
+ if (mpfr_cmp (x, y))
+ {
+ fprintf (stderr, "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_raw (x, "-0.100010000000000000000000E19");
+ mpfr_set_str_raw (y, "0.100000000000000000000100E15");
+ mpfr_add (x, x, y, GMP_RNDD);
+ mpfr_set_str_raw (y, "-0.1E19");
+ if (mpfr_cmp (x, y))
+ {
+ fprintf (stderr, "Error in mpfr_add (2)\n");
+ exit (1);
+ }
+
+ mpfr_set_prec (x, 1);
+ mpfr_set_prec (y, 10);
+ mpfr_set_prec (z, 10);
+ mpfr_set_ui (y, 0, GMP_RNDN);
+ mpfr_set_str_raw (z, "0.100000000000000000000100E15");
+ if (mpfr_sub (x, y, z, GMP_RNDN) <= 0)
+ {
+ fprintf (stderr, "Wrong inexact flag in x=mpfr_sub(0,z) for prec(z)>prec(x)\n");
+ exit (1);
+ }
+ if (mpfr_sub (x, z, y, GMP_RNDN) >= 0)
+ {
+ fprintf (stderr, "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);
+}
+
+void
+bug_ddefour()
+{
+ 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) */
+ mpfr_sub( ex2, tot, ex1, GMP_RNDN); /* ex2 = high(tot - ex1) */
+ mpfr_sub( tot1, tot, ex1, GMP_RNDN); /* tot1 = tot - ex1 */
+ mpfr_set( ex3, tot1, GMP_RNDN); /* ex3 = high(tot - ex1) */
+
+ if (mpfr_cmp(ex2, ex3))
+ {
+ fprintf (stderr, "Error in ddefour test.\n");
+ printf ("ex2="); mpfr_print_raw (ex2); putchar ('\n');
+ printf ("ex3="); mpfr_print_raw (ex3); putchar ('\n');
+ 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 */
+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_random (x);
+ mpfr_random (y);
+ if (mpfr_cmp_abs (x, y) < 0)
+ mpfr_swap (x, y);
+ rnd = rand() % 4;
+ rnd = GMP_RNDN;
+ inexact = mpfr_sub (u, x, y, GMP_RNDN);
+ mpfr_sub (v, u, x, GMP_RNDN);
+ mpfr_add (w, v, y, GMP_RNDN);
+ /* 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)))
+ {
+ fprintf (stderr, "Wrong inexact flag for prec=%u, rnd=%s\n", (unsigned)p,
+ mpfr_print_rnd_mode (rnd));
+ printf ("x="); mpfr_print_raw(x); putchar('\n');
+ printf ("y="); mpfr_print_raw(y); putchar('\n');
+ printf ("u="); mpfr_print_raw(u); putchar('\n');
+ printf ("v="); mpfr_print_raw(v); putchar('\n');
+ printf ("w="); mpfr_print_raw(w); putchar('\n');
+ 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 100
+
+void
+check_inexact ()
+{
+ 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);
+
+ for (px=1; px<MAX_PREC; px++)
+ {
+ mpfr_set_prec (x, px);
+ mpfr_random (x);
+ for (pu=1; pu<MAX_PREC; pu++)
+ {
+ mpfr_set_prec (u, pu);
+ mpfr_random (u);
+ for (py=1; py<MAX_PREC; py++)
+ {
+ mpfr_set_prec (y, py);
+ pz = (mpfr_cmp_abs (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 = rand () % 4;
+ if (mpfr_sub (z, x, u, rnd))
+ {
+ fprintf (stderr, "z <- x - u should be exact\n");
+ exit (1);
+ }
+ for (rnd=0; rnd<4; rnd++)
+ {
+ inexact = mpfr_sub (y, x, u, rnd);
+ cmp = mpfr_cmp (y, z);
+ if (((inexact == 0) && (cmp != 0)) ||
+ ((inexact > 0) && (cmp <= 0)) ||
+ ((inexact < 0) && (cmp >= 0)))
+ {
+ fprintf (stderr, "Wrong inexact flag for rnd=%s\n",
+ mpfr_print_rnd_mode(rnd));
+ printf ("expected %d, got %d\n", cmp, inexact);
+ printf ("x="); mpfr_print_raw (x); putchar ('\n');
+ printf ("u="); mpfr_print_raw (u); putchar ('\n');
+ printf ("y= "); mpfr_print_raw (y); putchar ('\n');
+ printf ("x-u="); mpfr_print_raw (z); putchar ('\n');
+ exit (1);
+ }
+ }
+ }
+ }
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+ mpfr_clear (z);
+ mpfr_clear (u);
+}
+
+int
+main()
+{
+ mp_prec_t p;
+ unsigned i;
+
+ check_diverse ();
+ check_inexact ();
+ bug_ddefour ();
+
+ for (p=1; p<200; p++)
+ for (i=0; i<200; i++)
+ check_two_sum (p);
+
+ return 0;
+}
View Lorry Controller Status