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-rw-r--r--mpfr/tests/tcmp2.c204
1 files changed, 191 insertions, 13 deletions
diff --git a/mpfr/tests/tcmp2.c b/mpfr/tests/tcmp2.c
index 4ddb16bea..568f5e860 100644
--- a/mpfr/tests/tcmp2.c
+++ b/mpfr/tests/tcmp2.c
@@ -1,20 +1,20 @@
/* Test file for mpfr_cmp2.
-Copyright (C) 1999-2000 Free Software Foundation.
+Copyright (C) 1999-2001 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 Library General Public License as published by
-the Free Software Foundation; either version 2 of the License, or (at your
+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 Library General Public
+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 Library General Public License
+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. */
@@ -29,8 +29,123 @@ MA 02111-1307, USA. */
void tcmp2 (double, double, int);
void special (void);
+void worst_cases (void);
+void set_bit (mpfr_t, unsigned int, int);
-void tcmp2 (double x, double y, int i)
+/* set bit n of x to b, where bit 0 is the most significant one */
+void
+set_bit (mpfr_t x, unsigned int n, int b)
+{
+ unsigned l;
+ mp_size_t xn;
+
+ xn = (MPFR_PREC(x) - 1) / mp_bits_per_limb;
+ l = n / mp_bits_per_limb;
+ n %= mp_bits_per_limb;
+ n = mp_bits_per_limb - 1 - n;
+ if (b)
+ MPFR_MANT(x)[xn - l] |= (mp_limb_t) 1 << n;
+ else
+ MPFR_MANT(x)[xn - l] &= ~((mp_limb_t) 1 << n);
+}
+
+/* check that for x = 1.u 1 v 0^k low(x)
+ y = 1.u 0 v 1^k low(y)
+ mpfr_cmp2 (x, y) returns 1 + |u| + |v| + k for low(x) >= low(y),
+ and 1 + |u| + |v| + k + 1 otherwise */
+void
+worst_cases ()
+{
+ mpfr_t x, y;
+ unsigned int i, j, k, l, b, expected;
+
+ mpfr_init2 (x, 200);
+ mpfr_init2 (y, 200);
+
+ mpfr_set_ui (y, 1, GMP_RNDN);
+ for (i=1; i<MPFR_PREC(x); i++)
+ {
+ mpfr_set_ui (x, 1, GMP_RNDN);
+ mpfr_div_2exp (y, y, 1, GMP_RNDN); /* y = 1/2^i */
+
+ if ((l = mpfr_cmp2 (x, y)) != 1)
+ {
+ fprintf (stderr, "Error in mpfr_cmp2:\nx=");
+ mpfr_out_str (stderr, 2, 0, x, GMP_RNDN);
+ fprintf (stderr, "\ny=");
+ mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
+ fprintf (stderr, "\ngot %u instead of %u\n", l, 1);
+ exit(1);
+ }
+
+ mpfr_add (x, x, y, GMP_RNDN); /* x = 1 + 1/2^i */
+ if ((l = mpfr_cmp2 (x, y)) != 0)
+ {
+ fprintf (stderr, "Error in mpfr_cmp2:\nx=");
+ mpfr_out_str (stderr, 2, 0, x, GMP_RNDN);
+ fprintf (stderr, "\ny=");
+ mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
+ fprintf (stderr, "\ngot %u instead of %u\n", l, 0);
+ exit(1);
+ }
+ }
+
+ for (i=0; i<64; i++) /* |u| = i */
+ {
+ mpfr_random (x);
+ mpfr_set (y, x, GMP_RNDN);
+ set_bit (x, i + 1, 1);
+ set_bit (y, i + 1, 0);
+ for (j=0; j<64; j++) /* |v| = j */
+ {
+ b = random () % 2;
+ set_bit (x, i + j + 2, b);
+ set_bit (y, i + j + 2, b);
+
+ for (k=0; k<64; k++)
+ {
+
+ if (k) set_bit (x, i + j + k + 1, 0);
+ if (k) set_bit (y, i + j + k + 1, 1);
+
+ set_bit (x, i + j + k + 2, 1);
+ set_bit (y, i + j + k + 2, 0);
+ l = mpfr_cmp2 (x, y);
+ expected = i + j + k + 1;
+ if (l != expected)
+ {
+ fprintf (stderr, "Error in mpfr_cmp2:\nx=");
+ mpfr_out_str (stderr, 2, 0, x, GMP_RNDN);
+ fprintf (stderr, "\ny=");
+ mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
+ fprintf (stderr, "\ngot %u instead of %u\n", l, expected);
+ exit(1);
+ }
+
+ set_bit (x, i + j + k + 2, 0);
+ set_bit (x, i + j + k + 3, 0);
+ set_bit (y, i + j + k + 3, 1);
+ l = mpfr_cmp2 (x, y);
+ expected = i + j + k + 2;
+ if (l != expected)
+ {
+ fprintf (stderr, "Error in mpfr_cmp2:\nx=");
+ mpfr_out_str (stderr, 2, 0, x, GMP_RNDN);
+ fprintf (stderr, "\ny=");
+ mpfr_out_str (stderr, 2, 0, y, GMP_RNDN);
+ fprintf (stderr, "\ngot %u instead of %u\n", l, expected);
+ exit(1);
+ }
+ }
+ }
+ }
+
+ mpfr_clear (x);
+ mpfr_clear (y);
+}
+
+void
+tcmp2 (double x, double y, int i)
{
mpfr_t xx, yy;
int j;
@@ -40,11 +155,15 @@ void tcmp2 (double x, double y, int i)
else i = (int) floor(log(x)/log(2.0)) - (int) floor(log(x-y)/log(2.0));
}
mpfr_init2(xx, 53); mpfr_init2(yy, 53);
- mpfr_set_d(xx, x, 0);
- mpfr_set_d(yy, y, 0);
- j = mpfr_cmp2(xx, yy);
+ mpfr_set_d (xx, x, GMP_RNDN);
+ mpfr_set_d (yy, y, GMP_RNDN);
+ j = mpfr_cmp2 (xx, yy);
if (j != i) {
- printf("Error in mpfr_cmp2: x=%1.20e y=%1.20e mpfr_cmp2(x,y)=%d instead of %d\n",x,y,j,i);
+ fprintf (stderr, "Error in mpfr_cmp2 for\nx=");
+ mpfr_out_str (stderr, 2, 0, xx, GMP_RNDN);
+ fprintf (stderr, "\ny=");
+ mpfr_out_str (stderr, 2, 0, yy, GMP_RNDN);
+ fprintf (stderr, "\ngot %u instead of %u\n", j, i);
exit(1);
}
mpfr_clear(xx); mpfr_clear(yy);
@@ -57,6 +176,23 @@ void special ()
mpfr_init (x); mpfr_init (y);
+ /* bug found by Nathalie Revol, 21 March 2001 */
+ mpfr_set_prec (x, 65);
+ mpfr_set_prec (y, 65);
+ mpfr_set_str_raw (x, "0.10000000000000000000000000000000000001110010010110100110011110000E1");
+ mpfr_set_str_raw (y, "0.11100100101101001100111011111111110001101001000011101001001010010E-35");
+ if ((j = mpfr_cmp2 (x, y)) != 1) {
+ printf ("Error in mpfr_cmp2:\n");
+ printf ("x=");
+ mpfr_print_raw (x);
+ putchar ('\n');
+ printf ("y=");
+ mpfr_print_raw (y);
+ putchar ('\n');
+ printf ("got %d, expected 1\n", j);
+ exit (1);
+ }
+
mpfr_set_prec(x, 127); mpfr_set_prec(y, 127);
mpfr_set_str_raw(x, "0.1011010000110111111000000101011110110001000101101011011110010010011110010000101101000010011001100110010000000010110000101000101E6");
mpfr_set_str_raw(y, "0.1011010000110111111000000101011011111100011101000011001111000010100010100110110100110010011001100110010000110010010110000010110E6");
@@ -79,10 +215,47 @@ void special ()
exit(1);
}
+ /* bug found by Nathalie Revol, 29 March 2001 */
+ mpfr_set_prec (x, 130); mpfr_set_prec (y, 130);
+ mpfr_set_str_raw (x, "0.1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000E2");
+ mpfr_set_str_raw (y, "0.1011111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111100E2");
+ if ((j=mpfr_cmp2(x, y)) != 127) {
+ printf("Error in mpfr_cmp2:\n");
+ printf("x="); mpfr_print_raw(x); putchar('\n');
+ printf("y="); mpfr_print_raw(y); putchar('\n');
+ printf("got %d, expected 127\n", j);
+ exit(1);
+ }
+
+ /* bug found by Nathalie Revol, 2 Apr 2001 */
+ mpfr_set_prec (x, 65); mpfr_set_prec (y, 65);
+ mpfr_set_ui (x, 5, GMP_RNDN);
+ mpfr_set_str_raw (y, "0.10011111111111111111111111111111111111111111111111111111111111101E3");
+ if ((j=mpfr_cmp2(x, y)) != 63) {
+ printf("Error in mpfr_cmp2:\n");
+ printf("x="); mpfr_print_raw(x); putchar('\n');
+ printf("y="); mpfr_print_raw(y); putchar('\n');
+ printf("got %d, expected 63\n", j);
+ exit(1);
+ }
+
+ /* bug found by Nathalie Revol, 2 Apr 2001 */
+ mpfr_set_prec (x, 65); mpfr_set_prec (y, 65);
+ mpfr_set_str_raw (x, "0.10011011111000101001110000000000000000000000000000000000000000000E-69");
+ mpfr_set_str_raw (y, "0.10011011111000101001101111111111111111111111111111111111111111101E-69");
+ if ((j=mpfr_cmp2(x, y)) != 63) {
+ printf("Error in mpfr_cmp2:\n");
+ printf("x="); mpfr_print_raw(x); putchar('\n');
+ printf("y="); mpfr_print_raw(y); putchar('\n');
+ printf("got %d, expected 63\n", j);
+ exit(1);
+ }
+
mpfr_clear(x); mpfr_clear(y);
}
-int main()
+int
+main (void)
{
int i,j; double x=1.0, y, z;
#ifdef __mips
@@ -93,12 +266,17 @@ int main()
set_fpc_csr(exp.fc_word);
#endif
+ worst_cases ();
special ();
tcmp2(5.43885304644369510000e+185, -1.87427265794105340000e-57, 1);
tcmp2(1.06022698059744327881e+71, 1.05824655795525779205e+71, -1);
tcmp2(1.0, 1.0, 53);
for (i=0;i<54;i++) {
- tcmp2(1.0, 1.0-x, i);
+ tcmp2 (1.0, 1.0-x, i);
+ x /= 2.0;
+ }
+ for (x=0.5, i=1; i<100; i++) {
+ tcmp2 (1.0, x, 1);
x /= 2.0;
}
for (j=0; j<100000; j++) {
@@ -107,6 +285,6 @@ int main()
if (x<y) { z=x; x=y; y=z; }
if (y != 0.0 && y != -0.0) tcmp2(x, y, -1);
}
+
return 0;
}
-
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