/* Test file for mpfr_div (and some mpfr_div_ui, etc. tests).
Copyright 1999, 2001-2017 Free Software Foundation, Inc.
Contributed by the AriC and Caramba 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 3 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.LESSER. If not, see
http://www.gnu.org/licenses/ or 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"
static void
check_equal (mpfr_srcptr a, mpfr_srcptr a2, char *s,
mpfr_srcptr b, mpfr_srcptr c, mpfr_rnd_t r)
{
if ((MPFR_IS_NAN (a) && MPFR_IS_NAN (a2)) ||
mpfr_equal_p (a, a2))
return;
printf ("Error in %s\n", mpfr_print_rnd_mode (r));
printf ("b = ");
mpfr_dump (b);
printf ("c = ");
mpfr_dump (c);
printf ("mpfr_div result: ");
mpfr_dump (a);
printf ("%s result: ", s);
mpfr_dump (a2);
exit (1);
}
static int
mpfr_all_div (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mpfr_rnd_t r)
{
mpfr_t a2;
unsigned int oldflags, newflags;
int inex, inex2;
oldflags = __gmpfr_flags;
inex = mpfr_div (a, b, c, r);
if (a == b || a == c)
return inex;
newflags = __gmpfr_flags;
mpfr_init2 (a2, MPFR_PREC (a));
if (mpfr_integer_p (b) && ! (MPFR_IS_ZERO (b) && MPFR_IS_NEG (b)))
{
/* b is an integer, but not -0 (-0 is rejected as
it becomes +0 when converted to an integer). */
if (mpfr_fits_ulong_p (b, MPFR_RNDA))
{
__gmpfr_flags = oldflags;
inex2 = mpfr_ui_div (a2, mpfr_get_ui (b, MPFR_RNDN), c, r);
MPFR_ASSERTN (SAME_SIGN (inex2, inex));
MPFR_ASSERTN (__gmpfr_flags == newflags);
check_equal (a, a2, "mpfr_ui_div", b, c, r);
}
if (mpfr_fits_slong_p (b, MPFR_RNDA))
{
__gmpfr_flags = oldflags;
inex2 = mpfr_si_div (a2, mpfr_get_si (b, MPFR_RNDN), c, r);
MPFR_ASSERTN (SAME_SIGN (inex2, inex));
MPFR_ASSERTN (__gmpfr_flags == newflags);
check_equal (a, a2, "mpfr_si_div", b, c, r);
}
}
if (mpfr_integer_p (c) && ! (MPFR_IS_ZERO (c) && MPFR_IS_NEG (c)))
{
/* c is an integer, but not -0 (-0 is rejected as
it becomes +0 when converted to an integer). */
if (mpfr_fits_ulong_p (c, MPFR_RNDA))
{
__gmpfr_flags = oldflags;
inex2 = mpfr_div_ui (a2, b, mpfr_get_ui (c, MPFR_RNDN), r);
MPFR_ASSERTN (SAME_SIGN (inex2, inex));
MPFR_ASSERTN (__gmpfr_flags == newflags);
check_equal (a, a2, "mpfr_div_ui", b, c, r);
}
if (mpfr_fits_slong_p (c, MPFR_RNDA))
{
__gmpfr_flags = oldflags;
inex2 = mpfr_div_si (a2, b, mpfr_get_si (c, MPFR_RNDN), r);
MPFR_ASSERTN (SAME_SIGN (inex2, inex));
MPFR_ASSERTN (__gmpfr_flags == newflags);
check_equal (a, a2, "mpfr_div_si", b, c, r);
}
}
mpfr_clear (a2);
return inex;
}
#ifdef CHECK_EXTERNAL
static int
test_div (mpfr_ptr a, mpfr_srcptr b, mpfr_srcptr c, mpfr_rnd_t rnd_mode)
{
int res;
int ok = rnd_mode == MPFR_RNDN && mpfr_number_p (b) && mpfr_number_p (c);
if (ok)
{
mpfr_print_raw (b);
printf (" ");
mpfr_print_raw (c);
}
res = mpfr_all_div (a, b, c, rnd_mode);
if (ok)
{
printf (" ");
mpfr_print_raw (a);
printf ("\n");
}
return res;
}
#else
#define test_div mpfr_all_div
#endif
#define check53(n, d, rnd, res) check4(n, d, rnd, 53, res)
/* return 0 iff a and b are of the same sign */
static int
inex_cmp (int a, int b)
{
if (a > 0)
return (b > 0) ? 0 : 1;
else if (a == 0)
return (b == 0) ? 0 : 1;
else
return (b < 0) ? 0 : 1;
}
static void
check4 (const char *Ns, const char *Ds, mpfr_rnd_t rnd_mode, int p,
const char *Qs)
{
mpfr_t q, n, d;
mpfr_inits2 (p, q, n, d, (mpfr_ptr) 0);
mpfr_set_str1 (n, Ns);
mpfr_set_str1 (d, Ds);
test_div(q, n, d, rnd_mode);
if (mpfr_cmp_str (q, Qs, ((p==53) ? 10 : 2), MPFR_RNDN) )
{
printf ("mpfr_div failed for n=%s, d=%s, p=%d, rnd_mode=%s\n",
Ns, Ds, p, mpfr_print_rnd_mode (rnd_mode));
printf ("got ");mpfr_print_binary(q);
mpfr_set_str (q, Qs, ((p==53) ? 10 : 2), MPFR_RNDN);
printf("\nexpected "); mpfr_print_binary(q);
putchar('\n');
exit (1);
}
mpfr_clears (q, n, d, (mpfr_ptr) 0);
}
static void
check24 (const char *Ns, const char *Ds, mpfr_rnd_t rnd_mode, const char *Qs)
{
mpfr_t q, n, d;
mpfr_inits2 (24, q, n, d, (mpfr_ptr) 0);
mpfr_set_str1 (n, Ns);
mpfr_set_str1 (d, Ds);
test_div(q, n, d, rnd_mode);
if (mpfr_cmp_str1 (q, Qs) )
{
printf ("mpfr_div failed for n=%s, d=%s, prec=24, rnd_mode=%s\n",
Ns, Ds, mpfr_print_rnd_mode(rnd_mode));
printf ("expected quotient is %s, got ", Qs);
mpfr_out_str(stdout,10,0,q, MPFR_RNDN); putchar('\n');
exit (1);
}
mpfr_clears (q, n, d, (mpfr_ptr) 0);
}
/* the following examples come from the paper "Number-theoretic Test
Generation for Directed Rounding" from Michael Parks, Table 2 */
static void
check_float(void)
{
check24("70368760954880.0", "8388609.0", MPFR_RNDN, "8.388609e6");
check24("140737479966720.0", "16777213.0", MPFR_RNDN, "8.388609e6");
check24("70368777732096.0", "8388611.0", MPFR_RNDN, "8.388609e6");
check24("105553133043712.0", "12582911.0", MPFR_RNDN, "8.38861e6");
/* the exponent for the following example was forgotten in
the Arith'14 version of Parks' paper */
check24 ("12582913.0", "12582910.0", MPFR_RNDN, "1.000000238");
check24 ("105553124655104.0", "12582910.0", MPFR_RNDN, "8388610.0");
check24("140737479966720.0", "8388609.0", MPFR_RNDN, "1.6777213e7");
check24("70368777732096.0", "8388609.0", MPFR_RNDN, "8.388611e6");
check24("105553133043712.0", "8388610.0", MPFR_RNDN, "1.2582911e7");
check24("105553124655104.0", "8388610.0", MPFR_RNDN, "1.258291e7");
check24("70368760954880.0", "8388609.0", MPFR_RNDZ, "8.388608e6");
check24("140737479966720.0", "16777213.0", MPFR_RNDZ, "8.388609e6");
check24("70368777732096.0", "8388611.0", MPFR_RNDZ, "8.388608e6");
check24("105553133043712.0", "12582911.0", MPFR_RNDZ, "8.38861e6");
check24("12582913.0", "12582910.0", MPFR_RNDZ, "1.000000238");
check24 ("105553124655104.0", "12582910.0", MPFR_RNDZ, "8388610.0");
check24("140737479966720.0", "8388609.0", MPFR_RNDZ, "1.6777213e7");
check24("70368777732096.0", "8388609.0", MPFR_RNDZ, "8.38861e6");
check24("105553133043712.0", "8388610.0", MPFR_RNDZ, "1.2582911e7");
check24("105553124655104.0", "8388610.0", MPFR_RNDZ, "1.258291e7");
check24("70368760954880.0", "8388609.0", MPFR_RNDU, "8.388609e6");
check24("140737479966720.0", "16777213.0", MPFR_RNDU, "8.38861e6");
check24("70368777732096.0", "8388611.0", MPFR_RNDU, "8.388609e6");
check24("105553133043712.0", "12582911.0", MPFR_RNDU, "8.388611e6");
check24("12582913.0", "12582910.0", MPFR_RNDU, "1.000000357");
check24 ("105553124655104.0", "12582910.0", MPFR_RNDU, "8388611.0");
check24("140737479966720.0", "8388609.0", MPFR_RNDU, "1.6777214e7");
check24("70368777732096.0", "8388609.0", MPFR_RNDU, "8.388611e6");
check24("105553133043712.0", "8388610.0", MPFR_RNDU, "1.2582912e7");
check24("105553124655104.0", "8388610.0", MPFR_RNDU, "1.2582911e7");
check24("70368760954880.0", "8388609.0", MPFR_RNDD, "8.388608e6");
check24("140737479966720.0", "16777213.0", MPFR_RNDD, "8.388609e6");
check24("70368777732096.0", "8388611.0", MPFR_RNDD, "8.388608e6");
check24("105553133043712.0", "12582911.0", MPFR_RNDD, "8.38861e6");
check24("12582913.0", "12582910.0", MPFR_RNDD, "1.000000238");
check24 ("105553124655104.0", "12582910.0", MPFR_RNDD, "8388610.0");
check24("140737479966720.0", "8388609.0", MPFR_RNDD, "1.6777213e7");
check24("70368777732096.0", "8388609.0", MPFR_RNDD, "8.38861e6");
check24("105553133043712.0", "8388610.0", MPFR_RNDD, "1.2582911e7");
check24("105553124655104.0", "8388610.0", MPFR_RNDD, "1.258291e7");
check24("70368760954880.0", "8388609.0", MPFR_RNDA, "8.388609e6");
}
static void
check_double(void)
{
check53("0.0", "1.0", MPFR_RNDZ, "0.0");
check53("-7.4988969224688591e63", "4.8816866450288732e306", MPFR_RNDD,
"-1.5361282826510687291e-243");
check53("-1.33225773037748601769e+199", "3.63449540676937123913e+79",
MPFR_RNDZ, "-3.6655920045905428978e119");
check53("9.89438396044940256501e-134", "5.93472984109987421717e-67",MPFR_RNDU,
"1.6672003992376663654e-67");
check53("9.89438396044940256501e-134", "5.93472984109987421717e-67",MPFR_RNDA,
"1.6672003992376663654e-67");
check53("9.89438396044940256501e-134", "-5.93472984109987421717e-67",
MPFR_RNDU, "-1.6672003992376663654e-67");
check53("-4.53063926135729747564e-308", "7.02293374921793516813e-84",
MPFR_RNDD, "-6.4512060388748850857e-225");
check53("6.25089225176473806123e-01","-2.35527154824420243364e-230",
MPFR_RNDD, "-2.6540006635008291192e229");
check53("6.25089225176473806123e-01","-2.35527154824420243364e-230",
MPFR_RNDA, "-2.6540006635008291192e229");
check53("6.52308934689126e15", "-1.62063546601505417497e273", MPFR_RNDN,
"-4.0250194961676020848e-258");
check53("1.04636807108079349236e-189", "3.72295730823253012954e-292",
MPFR_RNDZ, "2.810583051186143125e102");
/* problems found by Kevin under HP-PA */
check53 ("2.861044553323177e-136", "-1.1120354257068143e+45", MPFR_RNDZ,
"-2.5727998292003016e-181");
check53 ("-4.0559157245809205e-127", "-1.1237723844524865e+77", MPFR_RNDN,
"3.6091968273068081e-204");
check53 ("-1.8177943561493235e-93", "-8.51233984260364e-104", MPFR_RNDU,
"2.1354814184595821e+10");
}
static void
check_64(void)
{
mpfr_t x,y,z;
mpfr_inits2 (64, x, y, z, (mpfr_ptr) 0);
mpfr_set_str_binary(x, "1.00100100110110101001010010101111000001011100100101010000000000E54");
mpfr_set_str_binary(y, "1.00000000000000000000000000000000000000000000000000000000000000E584");
test_div(z, x, y, MPFR_RNDU);
if (mpfr_cmp_str (z, "0.1001001001101101010010100101011110000010111001001010100000000000E-529", 2, MPFR_RNDN))
{
printf("Error for tdiv for MPFR_RNDU and p=64\nx=");
mpfr_print_binary(x);
printf("\ny=");
mpfr_print_binary(y);
printf("\ngot ");
mpfr_print_binary(z);
printf("\nexpected 0.1001001001101101010010100101011110000010111001001010100000000000E-529\n");
exit(1);
}
mpfr_clears (x, y, z, (mpfr_ptr) 0);
}
static void
check_convergence (void)
{
mpfr_t x, y; int i, j;
mpfr_init2(x, 130);
mpfr_set_str_binary(x, "0.1011111101011010101000001010011111101000011100011101010011111011000011001010000000111100100111110011001010110100100001001000111001E6944");
mpfr_init2(y, 130);
mpfr_set_ui(y, 5, MPFR_RNDN);
test_div(x, x, y, MPFR_RNDD); /* exact division */
mpfr_set_prec(x, 64);
mpfr_set_prec(y, 64);
mpfr_set_str_binary(x, "0.10010010011011010100101001010111100000101110010010101E55");
mpfr_set_str_binary(y, "0.1E585");
test_div(x, x, y, MPFR_RNDN);
mpfr_set_str_binary(y, "0.10010010011011010100101001010111100000101110010010101E-529");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_div for prec=64, rnd=MPFR_RNDN\n");
printf ("got "); mpfr_print_binary(x); puts ("");
printf ("instead of "); mpfr_print_binary(y); puts ("");
exit(1);
}
for (i=32; i<=64; i+=32)
{
mpfr_set_prec(x, i);
mpfr_set_prec(y, i);
mpfr_set_ui(x, 1, MPFR_RNDN);
RND_LOOP(j)
{
mpfr_set_ui (y, 1, MPFR_RNDN);
test_div (y, x, y, (mpfr_rnd_t) j);
if (mpfr_cmp_ui (y, 1))
{
printf ("mpfr_div failed for x=1.0, y=1.0, prec=%d rnd=%s\n",
i, mpfr_print_rnd_mode ((mpfr_rnd_t) j));
printf ("got "); mpfr_print_binary(y); puts ("");
exit (1);
}
}
}
mpfr_clear (x);
mpfr_clear (y);
}
#define KMAX 10000
/* given y = o(x/u), x, u, find the inexact flag by
multiplying y by u */
static int
get_inexact (mpfr_t y, mpfr_t x, mpfr_t u)
{
mpfr_t xx;
int inex;
mpfr_init2 (xx, mpfr_get_prec (y) + mpfr_get_prec (u));
mpfr_mul (xx, y, u, MPFR_RNDN); /* exact */
inex = mpfr_cmp (xx, x);
mpfr_clear (xx);
return inex;
}
static void
check_hard (void)
{
mpfr_t u, v, q, q2;
mpfr_prec_t precu, precv, precq;
int rnd;
int inex, inex2, i, j;
mpfr_init (q);
mpfr_init (q2);
mpfr_init (u);
mpfr_init (v);
for (precq = MPFR_PREC_MIN; precq <= 64; precq ++)
{
mpfr_set_prec (q, precq);
mpfr_set_prec (q2, precq + 1);
for (j = 0; j < 2; j++)
{
if (j == 0)
{
do
{
mpfr_urandomb (q2, RANDS);
}
while (mpfr_cmp_ui (q2, 0) == 0);
}
else /* use q2=1 */
mpfr_set_ui (q2, 1, MPFR_RNDN);
for (precv = precq; precv <= 10 * precq; precv += precq)
{
mpfr_set_prec (v, precv);
do
{
mpfr_urandomb (v, RANDS);
}
while (mpfr_cmp_ui (v, 0) == 0);
for (precu = precq; precu <= 10 * precq; precu += precq)
{
mpfr_set_prec (u, precu);
mpfr_mul (u, v, q2, MPFR_RNDN);
mpfr_nextbelow (u);
for (i = 0; i <= 2; i++)
{
RND_LOOP(rnd)
{
inex = test_div (q, u, v, (mpfr_rnd_t) rnd);
inex2 = get_inexact (q, u, v);
if (inex_cmp (inex, inex2))
{
printf ("Wrong inexact flag for rnd=%s: expected %d, got %d\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) rnd), inex2, inex);
printf ("u= "); mpfr_dump (u);
printf ("v= "); mpfr_dump (v);
printf ("q= "); mpfr_dump (q);
mpfr_set_prec (q2, precq + precv);
mpfr_mul (q2, q, v, MPFR_RNDN);
printf ("q*v="); mpfr_dump (q2);
exit (1);
}
}
mpfr_nextabove (u);
}
}
}
}
}
mpfr_clear (q);
mpfr_clear (q2);
mpfr_clear (u);
mpfr_clear (v);
}
static void
check_lowr (void)
{
mpfr_t x, y, z, z2, z3, tmp;
int k, c, c2;
mpfr_init2 (x, 1000);
mpfr_init2 (y, 100);
mpfr_init2 (tmp, 850);
mpfr_init2 (z, 10);
mpfr_init2 (z2, 10);
mpfr_init2 (z3, 50);
for (k = 1; k < KMAX; k++)
{
do
{
mpfr_urandomb (z, RANDS);
}
while (mpfr_cmp_ui (z, 0) == 0);
do
{
mpfr_urandomb (tmp, RANDS);
}
while (mpfr_cmp_ui (tmp, 0) == 0);
mpfr_mul (x, z, tmp, MPFR_RNDN); /* exact */
c = test_div (z2, x, tmp, MPFR_RNDN);
if (c || mpfr_cmp (z2, z))
{
printf ("Error in mpfr_div rnd=MPFR_RNDN\n");
printf ("got "); mpfr_print_binary(z2); puts ("");
printf ("instead of "); mpfr_print_binary(z); puts ("");
printf ("inex flag = %d, expected 0\n", c);
exit (1);
}
}
/* x has still precision 1000, z precision 10, and tmp prec 850 */
mpfr_set_prec (z2, 9);
for (k = 1; k < KMAX; k++)
{
mpfr_urandomb (z, RANDS);
do
{
mpfr_urandomb (tmp, RANDS);
}
while (mpfr_cmp_ui (tmp, 0) == 0);
mpfr_mul (x, z, tmp, MPFR_RNDN); /* exact */
c = test_div (z2, x, tmp, MPFR_RNDN);
/* since z2 has one less bit that z, either the division is exact
if z is representable on 9 bits, or we have an even round case */
c2 = get_inexact (z2, x, tmp);
if ((mpfr_cmp (z2, z) == 0 && c) || inex_cmp (c, c2))
{
printf ("Error in mpfr_div rnd=MPFR_RNDN\n");
printf ("got "); mpfr_print_binary(z2); puts ("");
printf ("instead of "); mpfr_print_binary(z); puts ("");
printf ("inex flag = %d, expected %d\n", c, c2);
exit (1);
}
else if (c == 2)
{
mpfr_nexttoinf (z);
if (mpfr_cmp(z2, z))
{
printf ("Error in mpfr_div [even rnd?] rnd=MPFR_RNDN\n");
printf ("Dividing ");
printf ("got "); mpfr_print_binary(z2); puts ("");
printf ("instead of "); mpfr_print_binary(z); puts ("");
printf ("inex flag = %d\n", 1);
exit (1);
}
}
else if (c == -2)
{
mpfr_nexttozero (z);
if (mpfr_cmp(z2, z))
{
printf ("Error in mpfr_div [even rnd?] rnd=MPFR_RNDN\n");
printf ("Dividing ");
printf ("got "); mpfr_print_binary(z2); puts ("");
printf ("instead of "); mpfr_print_binary(z); puts ("");
printf ("inex flag = %d\n", 1);
exit (1);
}
}
}
mpfr_set_prec(x, 1000);
mpfr_set_prec(y, 100);
mpfr_set_prec(tmp, 850);
mpfr_set_prec(z, 10);
mpfr_set_prec(z2, 10);
/* almost exact divisions */
for (k = 1; k < KMAX; k++)
{
do
{
mpfr_urandomb (z, RANDS);
}
while (mpfr_cmp_ui (z, 0) == 0);
do
{
mpfr_urandomb (tmp, RANDS);
}
while (mpfr_cmp_ui (tmp, 0) == 0);
mpfr_mul(x, z, tmp, MPFR_RNDN);
mpfr_set(y, tmp, MPFR_RNDD);
mpfr_nexttoinf (x);
c = test_div(z2, x, y, MPFR_RNDD);
test_div(z3, x, y, MPFR_RNDD);
mpfr_set(z, z3, MPFR_RNDD);
if (c != -1 || mpfr_cmp(z2, z))
{
printf ("Error in mpfr_div rnd=MPFR_RNDD\n");
printf ("got "); mpfr_print_binary(z2); puts ("");
printf ("instead of "); mpfr_print_binary(z); puts ("");
printf ("inex flag = %d\n", c);
exit (1);
}
mpfr_set (y, tmp, MPFR_RNDU);
test_div (z3, x, y, MPFR_RNDU);
mpfr_set (z, z3, MPFR_RNDU);
c = test_div (z2, x, y, MPFR_RNDU);
if (c != 1 || mpfr_cmp (z2, z))
{
printf ("Error in mpfr_div rnd=MPFR_RNDU\n");
printf ("u="); mpfr_dump (x);
printf ("v="); mpfr_dump (y);
printf ("got "); mpfr_print_binary (z2); puts ("");
printf ("instead of "); mpfr_print_binary (z); puts ("");
printf ("inex flag = %d\n", c);
exit (1);
}
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (z2);
mpfr_clear (z3);
mpfr_clear (tmp);
}
#define MAX_PREC 128
static void
check_inexact (void)
{
mpfr_t x, y, z, u;
mpfr_prec_t px, py, pu;
int inexact, cmp;
mpfr_rnd_t rnd;
mpfr_init (x);
mpfr_init (y);
mpfr_init (z);
mpfr_init (u);
mpfr_set_prec (x, 28);
mpfr_set_prec (y, 28);
mpfr_set_prec (z, 1023);
mpfr_set_str_binary (x, "0.1000001001101101111100010011E0");
mpfr_set_str (z, "48284762641021308813686974720835219181653367326353400027913400579340343320519877153813133510034402932651132854764198688352364361009429039801248971901380781746767119334993621199563870113045276395603170432175354501451429471578325545278975153148347684600400321033502982713296919861760382863826626093689036010394", 10, MPFR_RNDN);
mpfr_div (x, x, z, MPFR_RNDN);
mpfr_set_str_binary (y, "0.1111001011001101001001111100E-1023");
if (mpfr_cmp (x, y))
{
printf ("Error in mpfr_div for prec=28, RNDN\n");
printf ("Expected "); mpfr_dump (y);
printf ("Got "); mpfr_dump (x);
exit (1);
}
mpfr_set_prec (x, 53);
mpfr_set_str_binary (x, "0.11101100110010100011011000000100001111011111110010101E0");
mpfr_set_prec (u, 127);
mpfr_set_str_binary (u, "0.1000001100110110110101110110101101111000110000001111111110000000011111001010110100110010111111111101000001011011101011101101000E-2");
mpfr_set_prec (y, 95);
inexact = test_div (y, x, u, MPFR_RNDN);
if (inexact != (cmp = get_inexact (y, x, u)))
{
printf ("Wrong inexact flag (0): expected %d, got %d\n", cmp, inexact);
printf ("x="); mpfr_out_str (stdout, 10, 99, x, MPFR_RNDN); printf ("\n");
printf ("u="); mpfr_out_str (stdout, 10, 99, u, MPFR_RNDN); printf ("\n");
printf ("y="); mpfr_out_str (stdout, 10, 99, y, MPFR_RNDN); printf ("\n");
exit (1);
}
mpfr_set_prec (x, 33);
mpfr_set_str_binary (x, "0.101111100011011101010011101100001E0");
mpfr_set_prec (u, 2);
mpfr_set_str_binary (u, "0.1E0");
mpfr_set_prec (y, 28);
inexact = test_div (y, x, u, MPFR_RNDN);
if (inexact >= 0)
{
printf ("Wrong inexact flag (1): expected -1, got %d\n",
inexact);
exit (1);
}
mpfr_set_prec (x, 129);
mpfr_set_str_binary (x, "0.111110101111001100000101011100101100110011011101010001000110110101100101000010000001110110100001101010001010100010001111001101010E-2");
mpfr_set_prec (u, 15);
mpfr_set_str_binary (u, "0.101101000001100E-1");
mpfr_set_prec (y, 92);
inexact = test_div (y, x, u, MPFR_RNDN);
if (inexact <= 0)
{
printf ("Wrong inexact flag for rnd=MPFR_RNDN(1): expected 1, got %d\n",
inexact);
mpfr_dump (x);
mpfr_dump (u);
mpfr_dump (y);
exit (1);
}
for (px=2; px<MAX_PREC; px++)
{
mpfr_set_prec (x, px);
mpfr_urandomb (x, RANDS);
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 = MPFR_PREC_MIN + (randlimb () % (MAX_PREC - MPFR_PREC_MIN));
mpfr_set_prec (y, py);
mpfr_set_prec (z, py + pu);
{
rnd = RND_RAND ();
inexact = test_div (y, x, u, rnd);
if (mpfr_mul (z, y, u, rnd))
{
printf ("z <- y * u should be exact\n");
exit (1);
}
cmp = mpfr_cmp (z, x);
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 ("y*u="); mpfr_print_binary (z); puts ("");
exit (1);
}
}
}
}
}
mpfr_clear (x);
mpfr_clear (y);
mpfr_clear (z);
mpfr_clear (u);
}
static void
check_special (void)
{
mpfr_t a, d, q;
mpfr_exp_t emax, emin;
int i;
mpfr_init2 (a, 100L);
mpfr_init2 (d, 100L);
mpfr_init2 (q, 100L);
/* 1/nan == nan */
mpfr_set_ui (a, 1L, MPFR_RNDN);
MPFR_SET_NAN (d);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_NAN);
/* nan/1 == nan */
MPFR_SET_NAN (a);
mpfr_set_ui (d, 1L, MPFR_RNDN);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_NAN);
/* +inf/1 == +inf */
MPFR_SET_INF (a);
MPFR_SET_POS (a);
mpfr_set_ui (d, 1L, MPFR_RNDN);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q));
MPFR_ASSERTN (mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* +inf/-1 == -inf */
MPFR_SET_INF (a);
MPFR_SET_POS (a);
mpfr_set_si (d, -1, MPFR_RNDN);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q));
MPFR_ASSERTN (mpfr_sgn (q) < 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* -inf/1 == -inf */
MPFR_SET_INF (a);
MPFR_SET_NEG (a);
mpfr_set_ui (d, 1L, MPFR_RNDN);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q));
MPFR_ASSERTN (mpfr_sgn (q) < 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* -inf/-1 == +inf */
MPFR_SET_INF (a);
MPFR_SET_NEG (a);
mpfr_set_si (d, -1, MPFR_RNDN);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q));
MPFR_ASSERTN (mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* 1/+inf == +0 */
mpfr_set_ui (a, 1L, MPFR_RNDN);
MPFR_SET_INF (d);
MPFR_SET_POS (d);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_number_p (q));
MPFR_ASSERTN (mpfr_sgn (q) == 0);
MPFR_ASSERTN (MPFR_IS_POS (q));
MPFR_ASSERTN (__gmpfr_flags == 0);
/* 1/-inf == -0 */
mpfr_set_ui (a, 1L, MPFR_RNDN);
MPFR_SET_INF (d);
MPFR_SET_NEG (d);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_number_p (q));
MPFR_ASSERTN (mpfr_sgn (q) == 0);
MPFR_ASSERTN (MPFR_IS_NEG (q));
MPFR_ASSERTN (__gmpfr_flags == 0);
/* -1/+inf == -0 */
mpfr_set_si (a, -1, MPFR_RNDN);
MPFR_SET_INF (d);
MPFR_SET_POS (d);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_number_p (q));
MPFR_ASSERTN (mpfr_sgn (q) == 0);
MPFR_ASSERTN (MPFR_IS_NEG (q));
MPFR_ASSERTN (__gmpfr_flags == 0);
/* -1/-inf == +0 */
mpfr_set_si (a, -1, MPFR_RNDN);
MPFR_SET_INF (d);
MPFR_SET_NEG (d);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_number_p (q));
MPFR_ASSERTN (mpfr_sgn (q) == 0);
MPFR_ASSERTN (MPFR_IS_POS (q));
MPFR_ASSERTN (__gmpfr_flags == 0);
/* 0/0 == nan */
mpfr_set_ui (a, 0L, MPFR_RNDN);
mpfr_set_ui (d, 0L, MPFR_RNDN);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_NAN);
/* +inf/+inf == nan */
MPFR_SET_INF (a);
MPFR_SET_POS (a);
MPFR_SET_INF (d);
MPFR_SET_POS (d);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_NAN);
/* 1/+0 = +inf */
mpfr_set_ui (a, 1, MPFR_RNDZ);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_DIVBY0);
/* 1/-0 = -inf */
mpfr_set_ui (a, 1, MPFR_RNDZ);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_neg (d, d, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) < 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_DIVBY0);
/* -1/+0 = -inf */
mpfr_set_si (a, -1, MPFR_RNDZ);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) < 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_DIVBY0);
/* -1/-0 = +inf */
mpfr_set_si (a, -1, MPFR_RNDZ);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_neg (d, d, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == MPFR_FLAGS_DIVBY0);
/* +inf/+0 = +inf */
MPFR_SET_INF (a);
MPFR_SET_POS (a);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* +inf/-0 = -inf */
MPFR_SET_INF (a);
MPFR_SET_POS (a);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_neg (d, d, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) < 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* -inf/+0 = -inf */
MPFR_SET_INF (a);
MPFR_SET_NEG (a);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) < 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* -inf/-0 = +inf */
MPFR_SET_INF (a);
MPFR_SET_NEG (a);
mpfr_set_ui (d, 0, MPFR_RNDZ);
mpfr_neg (d, d, MPFR_RNDZ);
mpfr_clear_flags ();
MPFR_ASSERTN (test_div (q, a, d, MPFR_RNDZ) == 0); /* exact */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == 0);
/* check overflow */
emax = mpfr_get_emax ();
set_emax (1);
mpfr_set_ui (a, 1, MPFR_RNDZ);
mpfr_set_ui (d, 1, MPFR_RNDZ);
mpfr_div_2exp (d, d, 1, MPFR_RNDZ);
mpfr_clear_flags ();
test_div (q, a, d, MPFR_RNDU); /* 1 / 0.5 = 2 -> overflow */
MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0);
MPFR_ASSERTN (__gmpfr_flags == (MPFR_FLAGS_OVERFLOW | MPFR_FLAGS_INEXACT));
set_emax (emax);
/* check underflow */
emin = mpfr_get_emin ();
set_emin (-1);
mpfr_set_ui (a, 1, MPFR_RNDZ);
mpfr_div_2exp (a, a, 2, MPFR_RNDZ);
mpfr_set_prec (d, mpfr_get_prec (q) + 8);
for (i = -1; i <= 1; i++)
{
int sign;
/* Test 2^(-2) / (+/- (2 + eps)), with eps < 0, eps = 0, eps > 0.
-> underflow.
With div.c r5513, this test fails for eps > 0 in MPFR_RNDN. */
mpfr_set_ui (d, 2, MPFR_RNDZ);
if (i < 0)
mpfr_nextbelow (d);
if (i > 0)
mpfr_nextabove (d);
for (sign = 0; sign <= 1; sign++)
{
mpfr_clear_flags ();
test_div (q, a, d, MPFR_RNDZ); /* result = 0 */
MPFR_ASSERTN (__gmpfr_flags ==
(MPFR_FLAGS_UNDERFLOW | MPFR_FLAGS_INEXACT));
MPFR_ASSERTN (sign ? MPFR_IS_NEG (q) : MPFR_IS_POS (q));
MPFR_ASSERTN (MPFR_IS_ZERO (q));
mpfr_clear_flags ();
test_div (q, a, d, MPFR_RNDN); /* result = 0 iff eps >= 0 */
MPFR_ASSERTN (__gmpfr_flags ==
(MPFR_FLAGS_UNDERFLOW | MPFR_FLAGS_INEXACT));
MPFR_ASSERTN (sign ? MPFR_IS_NEG (q) : MPFR_IS_POS (q));
if (i < 0)
mpfr_nexttozero (q);
MPFR_ASSERTN (MPFR_IS_ZERO (q));
mpfr_neg (d, d, MPFR_RNDN);
}
}
set_emin (emin);
mpfr_clear (a);
mpfr_clear (d);
mpfr_clear (q);
}
static void
consistency (void)
{
mpfr_t x, y, z1, z2;
int i;
mpfr_inits (x, y, z1, z2, (mpfr_ptr) 0);
for (i = 0; i < 10000; i++)
{
mpfr_rnd_t rnd;
mpfr_prec_t px, py, pz, p;
int inex1, inex2;
rnd = RND_RAND ();
px = (randlimb () % 256) + 2;
py = (randlimb () % 128) + 2;
pz = (randlimb () % 256) + 2;
mpfr_set_prec (x, px);
mpfr_set_prec (y, py);
mpfr_set_prec (z1, pz);
mpfr_set_prec (z2, pz);
mpfr_urandomb (x, RANDS);
do
mpfr_urandomb (y, RANDS);
while (mpfr_zero_p (y));
inex1 = mpfr_div (z1, x, y, rnd);
MPFR_ASSERTN (!MPFR_IS_NAN (z1));
p = MAX (MAX (px, py), pz);
if (mpfr_prec_round (x, p, MPFR_RNDN) != 0 ||
mpfr_prec_round (y, p, MPFR_RNDN) != 0)
{
printf ("mpfr_prec_round error for i = %d\n", i);
exit (1);
}
inex2 = mpfr_div (z2, x, y, rnd);
MPFR_ASSERTN (!MPFR_IS_NAN (z2));
if (inex1 != inex2 || mpfr_cmp (z1, z2) != 0)
{
printf ("Consistency error for i = %d\n", i);
exit (1);
}
}
mpfr_clears (x, y, z1, z2, (mpfr_ptr) 0);
}
/* Reported by Carl Witty on 2007-06-03 */
static void
test_20070603 (void)
{
mpfr_t n, d, q, c;
mpfr_init2 (n, 128);
mpfr_init2 (d, 128);
mpfr_init2 (q, 31);
mpfr_init2 (c, 31);
mpfr_set_str (n, "10384593717069655257060992206846485", 10, MPFR_RNDN);
mpfr_set_str (d, "10384593717069655257060992206847132", 10, MPFR_RNDN);
mpfr_div (q, n, d, MPFR_RNDU);
mpfr_set_ui (c, 1, MPFR_RNDN);
if (mpfr_cmp (q, c) != 0)
{
printf ("Error in test_20070603\nGot ");
mpfr_dump (q);
printf ("instead of ");
mpfr_dump (c);
exit (1);
}
/* same for 64-bit machines */
mpfr_set_prec (n, 256);
mpfr_set_prec (d, 256);
mpfr_set_prec (q, 63);
mpfr_set_str (n, "822752278660603021077484591278675252491367930877209729029898240", 10, MPFR_RNDN);
mpfr_set_str (d, "822752278660603021077484591278675252491367930877212507873738752", 10, MPFR_RNDN);
mpfr_div (q, n, d, MPFR_RNDU);
if (mpfr_cmp (q, c) != 0)
{
printf ("Error in test_20070603\nGot ");
mpfr_dump (q);
printf ("instead of ");
mpfr_dump (c);
exit (1);
}
mpfr_clear (n);
mpfr_clear (d);
mpfr_clear (q);
mpfr_clear (c);
}
/* Bug found while adding tests for mpfr_cot */
static void
test_20070628 (void)
{
mpfr_exp_t old_emax;
mpfr_t x, y;
int inex, err = 0;
old_emax = mpfr_get_emax ();
if (mpfr_set_emax (256))
{
printf ("Can't change exponent range\n");
exit (1);
}
mpfr_inits2 (53, x, y, (mpfr_ptr) 0);
mpfr_set_si (x, -1, MPFR_RNDN);
mpfr_set_si_2exp (y, 1, -256, MPFR_RNDN);
mpfr_clear_flags ();
inex = mpfr_div (x, x, y, MPFR_RNDD);
if (MPFR_SIGN (x) >= 0 || ! mpfr_inf_p (x))
{
printf ("Error in test_20070628: expected -Inf, got\n");
mpfr_dump (x);
err++;
}
if (inex >= 0)
{
printf ("Error in test_20070628: expected inex < 0, got %d\n", inex);
err++;
}
if (! mpfr_overflow_p ())
{
printf ("Error in test_20070628: overflow flag is not set\n");
err++;
}
mpfr_clears (x, y, (mpfr_ptr) 0);
mpfr_set_emax (old_emax);
}
/* Bug in mpfr_divhigh_n_basecase when all limbs of q (except the most
significant one) are B-1 where B=2^GMP_NUMB_BITS. Since we truncate
the divisor at each step, it might happen at some point that
(np[n-1],np[n-2]) > (d1,d0), and not only the equality.
Reported by Ricky Farr
<https://sympa.inria.fr/sympa/arc/mpfr/2015-10/msg00023.html>
To get a failure, a MPFR_DIVHIGH_TAB entry below the MPFR_DIV_THRESHOLD
limit must have a value 0. With most mparam.h files, this cannot occur. */
static void
test_20151023 (void)
{
mpfr_prec_t p;
mpfr_t n, d, q, q0;
int inex, i;
for (p = GMP_NUMB_BITS; p <= 2000; p++)
{
mpfr_init2 (n, 2*p);
mpfr_init2 (d, p);
mpfr_init2 (q, p);
mpfr_init2 (q0, GMP_NUMB_BITS);
/* generate a random divisor of p bits */
mpfr_urandomb (d, RANDS);
/* generate a random quotient of GMP_NUMB_BITS bits */
mpfr_urandomb (q0, RANDS);
/* zero-pad the quotient to p bits */
inex = mpfr_prec_round (q0, p, MPFR_RNDN);
MPFR_ASSERTN(inex == 0);
for (i = 0; i < 3; i++)
{
/* i=0: try with the original quotient xxx000...000
i=1: try with the original quotient minus one ulp
i=2: try with the original quotient plus one ulp */
if (i == 1)
mpfr_nextbelow (q0);
else if (i == 2)
{
mpfr_nextabove (q0);
mpfr_nextabove (q0);
}
inex = mpfr_mul (n, d, q0, MPFR_RNDN);
MPFR_ASSERTN(inex == 0);
mpfr_nextabove (n);
mpfr_div (q, n, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp (q, q0) == 0);
inex = mpfr_mul (n, d, q0, MPFR_RNDN);
MPFR_ASSERTN(inex == 0);
mpfr_nextbelow (n);
mpfr_div (q, n, d, MPFR_RNDN);
MPFR_ASSERTN(mpfr_cmp (q, q0) == 0);
}
mpfr_clear (n);
mpfr_clear (d);
mpfr_clear (q);
mpfr_clear (q0);
}
}
#define TEST_FUNCTION test_div
#define TWO_ARGS
#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), randlimb () % 100, RANDS)
#include "tgeneric.c"
static void
test_extreme (void)
{
mpfr_t x, y, z;
mpfr_exp_t emin, emax;
mpfr_prec_t p[4] = { 8, 32, 64, 256 };
int xi, yi, zi, j, r;
unsigned int flags, ex_flags;
emin = mpfr_get_emin ();
emax = mpfr_get_emax ();
mpfr_set_emin (MPFR_EMIN_MIN);
mpfr_set_emax (MPFR_EMAX_MAX);
for (xi = 0; xi < 4; xi++)
{
mpfr_init2 (x, p[xi]);
mpfr_setmax (x, MPFR_EMAX_MAX);
MPFR_ASSERTN (mpfr_check (x));
for (yi = 0; yi < 4; yi++)
{
mpfr_init2 (y, p[yi]);
mpfr_setmin (y, MPFR_EMIN_MIN);
for (j = 0; j < 2; j++)
{
MPFR_ASSERTN (mpfr_check (y));
for (zi = 0; zi < 4; zi++)
{
mpfr_init2 (z, p[zi]);
RND_LOOP (r)
{
mpfr_clear_flags ();
mpfr_div (z, x, y, (mpfr_rnd_t) r);
flags = __gmpfr_flags;
MPFR_ASSERTN (mpfr_check (z));
ex_flags = MPFR_FLAGS_OVERFLOW | MPFR_FLAGS_INEXACT;
if (flags != ex_flags)
{
printf ("Bad flags in test_extreme on z = a/b"
" with %s and\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r));
printf ("a = ");
mpfr_dump (x);
printf ("b = ");
mpfr_dump (y);
printf ("Expected flags:");
flags_out (ex_flags);
printf ("Got flags: ");
flags_out (flags);
printf ("z = ");
mpfr_dump (z);
exit (1);
}
mpfr_clear_flags ();
mpfr_div (z, y, x, (mpfr_rnd_t) r);
flags = __gmpfr_flags;
MPFR_ASSERTN (mpfr_check (z));
ex_flags = MPFR_FLAGS_UNDERFLOW | MPFR_FLAGS_INEXACT;
if (flags != ex_flags)
{
printf ("Bad flags in test_extreme on z = a/b"
" with %s and\n",
mpfr_print_rnd_mode ((mpfr_rnd_t) r));
printf ("a = ");
mpfr_dump (y);
printf ("b = ");
mpfr_dump (x);
printf ("Expected flags:");
flags_out (ex_flags);
printf ("Got flags: ");
flags_out (flags);
printf ("z = ");
mpfr_dump (z);
exit (1);
}
}
mpfr_clear (z);
} /* zi */
mpfr_nextabove (y);
} /* j */
mpfr_clear (y);
} /* yi */
mpfr_clear (x);
} /* xi */
set_emin (emin);
set_emax (emax);
}
int
main (int argc, char *argv[])
{
tests_start_mpfr ();
check_inexact ();
check_hard ();
check_special ();
check_lowr ();
check_float (); /* checks single precision */
check_double ();
check_convergence ();
check_64 ();
check4("4.0","4.503599627370496e15", MPFR_RNDZ, 62,
"0.10000000000000000000000000000000000000000000000000000000000000E-49");
check4("1.0","2.10263340267725788209e+187", MPFR_RNDU, 65,
"0.11010011111001101011111001100111110100000001101001111100111000000E-622");
check4("2.44394909079968374564e-150", "2.10263340267725788209e+187",MPFR_RNDU,
65,
"0.11010011111001101011111001100111110100000001101001111100111000000E-1119");
consistency ();
test_20070603 ();
test_20070628 ();
test_20151023 ();
test_generic (2, 800, 50);
test_extreme ();
tests_end_mpfr ();
return 0;
}