--- /dev/null
+/* Test file for mpfr_div.
+
+Copyright 1999, 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_div (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_div (a, b, c, rnd_mode);
+ if (ok)
+ {
+ printf (" ");
+ mpfr_print_raw (a);
+ printf ("\n");
+ }
+ return res;
+}
+#else
+#define test_div mpfr_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, mp_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), GMP_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), GMP_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, mp_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, GMP_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", GMP_RNDN, "8.388609e6");
+ check24("140737479966720.0", "16777213.0", GMP_RNDN, "8.388609e6");
+ check24("70368777732096.0", "8388611.0", GMP_RNDN, "8.388609e6");
+ check24("105553133043712.0", "12582911.0", GMP_RNDN, "8.38861e6");
+ /* the exponent for the following example was forgotten in
+ the Arith'14 version of Parks' paper */
+ check24 ("12582913.0", "12582910.0", GMP_RNDN, "1.000000238");
+ check24 ("105553124655104.0", "12582910.0", GMP_RNDN, "8388610.0");
+ check24("140737479966720.0", "8388609.0", GMP_RNDN, "1.6777213e7");
+ check24("70368777732096.0", "8388609.0", GMP_RNDN, "8.388611e6");
+ check24("105553133043712.0", "8388610.0", GMP_RNDN, "1.2582911e7");
+ check24("105553124655104.0", "8388610.0", GMP_RNDN, "1.258291e7");
+
+ check24("70368760954880.0", "8388609.0", GMP_RNDZ, "8.388608e6");
+ check24("140737479966720.0", "16777213.0", GMP_RNDZ, "8.388609e6");
+ check24("70368777732096.0", "8388611.0", GMP_RNDZ, "8.388608e6");
+ check24("105553133043712.0", "12582911.0", GMP_RNDZ, "8.38861e6");
+ check24("12582913.0", "12582910.0", GMP_RNDZ, "1.000000238");
+ check24 ("105553124655104.0", "12582910.0", GMP_RNDZ, "8388610.0");
+ check24("140737479966720.0", "8388609.0", GMP_RNDZ, "1.6777213e7");
+ check24("70368777732096.0", "8388609.0", GMP_RNDZ, "8.38861e6");
+ check24("105553133043712.0", "8388610.0", GMP_RNDZ, "1.2582911e7");
+ check24("105553124655104.0", "8388610.0", GMP_RNDZ, "1.258291e7");
+
+ check24("70368760954880.0", "8388609.0", GMP_RNDU, "8.388609e6");
+ check24("140737479966720.0", "16777213.0", GMP_RNDU, "8.38861e6");
+ check24("70368777732096.0", "8388611.0", GMP_RNDU, "8.388609e6");
+ check24("105553133043712.0", "12582911.0", GMP_RNDU, "8.388611e6");
+ check24("12582913.0", "12582910.0", GMP_RNDU, "1.000000357");
+ check24 ("105553124655104.0", "12582910.0", GMP_RNDU, "8388611.0");
+ check24("140737479966720.0", "8388609.0", GMP_RNDU, "1.6777214e7");
+ check24("70368777732096.0", "8388609.0", GMP_RNDU, "8.388611e6");
+ check24("105553133043712.0", "8388610.0", GMP_RNDU, "1.2582912e7");
+ check24("105553124655104.0", "8388610.0", GMP_RNDU, "1.2582911e7");
+
+ check24("70368760954880.0", "8388609.0", GMP_RNDD, "8.388608e6");
+ check24("140737479966720.0", "16777213.0", GMP_RNDD, "8.388609e6");
+ check24("70368777732096.0", "8388611.0", GMP_RNDD, "8.388608e6");
+ check24("105553133043712.0", "12582911.0", GMP_RNDD, "8.38861e6");
+ check24("12582913.0", "12582910.0", GMP_RNDD, "1.000000238");
+ check24 ("105553124655104.0", "12582910.0", GMP_RNDD, "8388610.0");
+ check24("140737479966720.0", "8388609.0", GMP_RNDD, "1.6777213e7");
+ check24("70368777732096.0", "8388609.0", GMP_RNDD, "8.38861e6");
+ check24("105553133043712.0", "8388610.0", GMP_RNDD, "1.2582911e7");
+ check24("105553124655104.0", "8388610.0", GMP_RNDD, "1.258291e7");
+
+}
+
+static void
+check_double(void)
+{
+ check53("0.0", "1.0", GMP_RNDZ, "0.0");
+ check53("-7.4988969224688591e63", "4.8816866450288732e306", GMP_RNDD,
+ "-1.5361282826510687291e-243");
+ check53("-1.33225773037748601769e+199", "3.63449540676937123913e+79",
+ GMP_RNDZ, "-3.6655920045905428978e119");
+ check53("9.89438396044940256501e-134", "5.93472984109987421717e-67",GMP_RNDU,
+ "1.6672003992376663654e-67");
+ check53("9.89438396044940256501e-134", "-5.93472984109987421717e-67",
+ GMP_RNDU, "-1.6672003992376663654e-67");
+ check53("-4.53063926135729747564e-308", "7.02293374921793516813e-84",
+ GMP_RNDD, "-6.4512060388748850857e-225");
+ check53("6.25089225176473806123e-01","-2.35527154824420243364e-230",
+ GMP_RNDD, "-2.6540006635008291192e229");
+ check53("6.52308934689126e15", "-1.62063546601505417497e273", GMP_RNDN,
+ "-4.0250194961676020848e-258");
+ check53("1.04636807108079349236e-189", "3.72295730823253012954e-292",
+ GMP_RNDZ, "2.810583051186143125e102");
+ /* problems found by Kevin under HP-PA */
+ check53 ("2.861044553323177e-136", "-1.1120354257068143e+45", GMP_RNDZ,
+ "-2.5727998292003016e-181");
+ check53 ("-4.0559157245809205e-127", "-1.1237723844524865e+77", GMP_RNDN,
+ "3.6091968273068081e-204");
+ check53 ("-1.8177943561493235e-93", "-8.51233984260364e-104", GMP_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, GMP_RNDU);
+ if (mpfr_cmp_str (z, "0.1001001001101101010010100101011110000010111001001010100000000000E-529", 2, GMP_RNDN))
+ {
+ printf("Error for tdiv for GMP_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, GMP_RNDN);
+ test_div(x, x, y, GMP_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, GMP_RNDN);
+ mpfr_set_str_binary(y, "0.10010010011011010100101001010111100000101110010010101E-529");
+ if (mpfr_cmp (x, y))
+ {
+ printf ("Error in mpfr_div for prec=64, rnd=GMP_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, GMP_RNDN);
+ for (j = 0;j < GMP_RND_MAX; j++)
+ {
+ mpfr_set_ui (y, 1, GMP_RNDN);
+ test_div (y, x, y, (mp_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 ((mp_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, GMP_RNDN); /* exact */
+ inex = mpfr_cmp (xx, x);
+ mpfr_clear (xx);
+ return inex;
+}
+
+static void
+check_hard (void)
+{
+ mpfr_t u, v, q, q2;
+ mp_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, GMP_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, GMP_RNDN);
+ mpfr_nextbelow (u);
+ for (i = 0; i <= 2; i++)
+ {
+ for (rnd = 0; rnd < GMP_RND_MAX; rnd++)
+ {
+ inex = test_div (q, u, v, (mp_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 ((mp_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, GMP_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, GMP_RNDN); /* exact */
+ c = test_div (z2, x, tmp, GMP_RNDN);
+
+ if (c || mpfr_cmp (z2, z))
+ {
+ printf ("Error in mpfr_div rnd=GMP_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, GMP_RNDN); /* exact */
+ c = test_div (z2, x, tmp, GMP_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=GMP_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=GMP_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=GMP_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, GMP_RNDN);
+ mpfr_set(y, tmp, GMP_RNDD);
+ mpfr_nexttoinf (x);
+
+ c = test_div(z2, x, y, GMP_RNDD);
+ test_div(z3, x, y, GMP_RNDD);
+ mpfr_set(z, z3, GMP_RNDD);
+
+ if (c != -1 || mpfr_cmp(z2, z))
+ {
+ printf ("Error in mpfr_div rnd=GMP_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, GMP_RNDU);
+ test_div (z3, x, y, GMP_RNDU);
+ mpfr_set (z, z3, GMP_RNDU);
+ c = test_div (z2, x, y, GMP_RNDU);
+ if (c != 1 || mpfr_cmp (z2, z))
+ {
+ printf ("Error in mpfr_div rnd=GMP_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;
+ mp_prec_t px, py, pu;
+ int inexact, cmp;
+ mp_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, GMP_RNDN);
+ mpfr_div (x, x, z, GMP_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, GMP_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, GMP_RNDN); printf ("\n");
+ printf ("u="); mpfr_out_str (stdout, 10, 99, u, GMP_RNDN); printf ("\n");
+ printf ("y="); mpfr_out_str (stdout, 10, 99, y, GMP_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);
+ if ((inexact = test_div (y, x, u, GMP_RNDN) >= 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);
+ if ((inexact = test_div (y, x, u, GMP_RNDN)) <= 0)
+ {
+ printf ("Wrong inexact flag for rnd=GMP_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_nan (void)
+{
+ mpfr_t a, d, q;
+ mp_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, GMP_RNDN);
+ MPFR_SET_NAN (d);
+ MPFR_ASSERTN (test_div (q, a, d, GMP_RNDZ) == 0); /* exact */
+ MPFR_ASSERTN (mpfr_nan_p (q));
+
+ /* nan/1 == nan */
+ MPFR_SET_NAN (a);
+ mpfr_set_ui (d, 1L, GMP_RNDN);
+ MPFR_ASSERTN (test_div (q, a, d, GMP_RNDZ) == 0); /* exact */
+ MPFR_ASSERTN (mpfr_nan_p (q));
+
+ /* +inf/1 == +inf */
+ MPFR_CLEAR_FLAGS (a);
+ MPFR_SET_INF (a);
+ MPFR_SET_POS (a);
+ mpfr_set_ui (d, 1L, GMP_RNDN);
+ MPFR_ASSERTN (test_div (q, a, d, GMP_RNDZ) == 0); /* exact */
+ MPFR_ASSERTN (mpfr_inf_p (q));
+ MPFR_ASSERTN (mpfr_sgn (q) > 0);
+
+ /* 1/+inf == 0 */
+ mpfr_set_ui (a, 1L, GMP_RNDN);
+ MPFR_CLEAR_FLAGS (d);
+ MPFR_SET_INF (d);
+ MPFR_SET_POS (d);
+ MPFR_ASSERTN (test_div (q, a, d, GMP_RNDZ) == 0); /* exact */
+ MPFR_ASSERTN (mpfr_number_p (q));
+ MPFR_ASSERTN (mpfr_sgn (q) == 0);
+
+ /* 0/0 == nan */
+ mpfr_set_ui (a, 0L, GMP_RNDN);
+ mpfr_set_ui (d, 0L, GMP_RNDN);
+ MPFR_ASSERTN (test_div (q, a, d, GMP_RNDZ) == 0); /* exact */
+ MPFR_ASSERTN (mpfr_nan_p (q));
+
+ /* +inf/+inf == nan */
+ MPFR_CLEAR_FLAGS (a);
+ MPFR_SET_INF (a);
+ MPFR_SET_POS (a);
+ MPFR_CLEAR_FLAGS (d);
+ MPFR_SET_INF (d);
+ MPFR_SET_POS (d);
+ MPFR_ASSERTN (test_div (q, a, d, GMP_RNDZ) == 0); /* exact */
+ MPFR_ASSERTN (mpfr_nan_p (q));
+
+ /* 1/+0 = +Inf */
+ mpfr_set_ui (a, 1, GMP_RNDZ);
+ mpfr_set_ui (d, 0, GMP_RNDZ);
+ MPFR_ASSERTN (test_div (q, a, d, GMP_RNDZ) == 0); /* exact */
+ MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0);
+
+ /* 1/-0 = -Inf */
+ mpfr_set_ui (a, 1, GMP_RNDZ);
+ mpfr_set_ui (d, 0, GMP_RNDZ);
+ mpfr_neg (d, d, GMP_RNDZ);
+ MPFR_ASSERTN (test_div (q, a, d, GMP_RNDZ) == 0); /* exact */
+ MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) < 0);
+
+ /* -1/+0 = -Inf */
+ mpfr_set_si (a, -1, GMP_RNDZ);
+ mpfr_set_ui (d, 0, GMP_RNDZ);
+ MPFR_ASSERTN (test_div (q, a, d, GMP_RNDZ) == 0); /* exact */
+ MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) < 0);
+
+ /* -1/-0 = +Inf */
+ mpfr_set_si (a, -1, GMP_RNDZ);
+ mpfr_set_ui (d, 0, GMP_RNDZ);
+ mpfr_neg (d, d, GMP_RNDZ);
+ MPFR_ASSERTN (test_div (q, a, d, GMP_RNDZ) == 0); /* exact */
+ MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0);
+
+ /* check overflow */
+ emax = mpfr_get_emax ();
+ set_emax (1);
+ mpfr_set_ui (a, 1, GMP_RNDZ);
+ mpfr_set_ui (d, 1, GMP_RNDZ);
+ mpfr_div_2exp (d, d, 1, GMP_RNDZ);
+ test_div (q, a, d, GMP_RNDU); /* 1 / 0.5 = 2 -> overflow */
+ MPFR_ASSERTN (mpfr_inf_p (q) && mpfr_sgn (q) > 0);
+ set_emax (emax);
+
+ /* check underflow */
+ emin = mpfr_get_emin ();
+ set_emin (-1);
+ mpfr_set_ui (a, 1, GMP_RNDZ);
+ mpfr_div_2exp (a, a, 2, GMP_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 GMP_RNDN. */
+ mpfr_set_ui (d, 2, GMP_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, GMP_RNDZ); /* result = 0 */
+ MPFR_ASSERTN (mpfr_underflow_p ());
+ 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, GMP_RNDN); /* result = 0 iff eps >= 0 */
+ MPFR_ASSERTN (mpfr_underflow_p ());
+ 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, GMP_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++)
+ {
+ mp_rnd_t rnd;
+ mp_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, GMP_RNDN) != 0 ||
+ mpfr_prec_round (y, p, GMP_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, GMP_RNDN);
+ mpfr_set_str (d, "10384593717069655257060992206847132", 10, GMP_RNDN);
+ mpfr_div (q, n, d, GMP_RNDU);
+
+ mpfr_set_ui (c, 1, GMP_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, GMP_RNDN);
+ mpfr_set_str (d, "822752278660603021077484591278675252491367930877212507873738752", 10, GMP_RNDN);
+ mpfr_div (q, n, d, GMP_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)
+{
+ mp_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, GMP_RNDN);
+ mpfr_set_si_2exp (y, 1, -256, GMP_RNDN);
+ mpfr_clear_flags ();
+ inex = mpfr_div (x, x, y, GMP_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);
+}
+
+#define TEST_FUNCTION test_div
+#define TWO_ARGS
+#define RAND_FUNCTION(x) mpfr_random2(x, MPFR_LIMB_SIZE (x), randlimb () % 100)
+#include "tgeneric.c"
+
+int
+main (int argc, char *argv[])
+{
+ tests_start_mpfr ();
+
+ check_inexact ();
+ check_hard ();
+ check_nan ();
+ check_lowr ();
+ check_float (); /* checks single precision */
+ check_double ();
+ check_convergence ();
+ check_64 ();
+
+ check4("4.0","4.503599627370496e15", GMP_RNDZ, 62,
+ "0.10000000000000000000000000000000000000000000000000000000000000E-49");
+ check4("1.0","2.10263340267725788209e+187", GMP_RNDU, 65,
+ "0.11010011111001101011111001100111110100000001101001111100111000000E-622");
+ check4("2.44394909079968374564e-150", "2.10263340267725788209e+187",GMP_RNDU,
+ 65,
+ "0.11010011111001101011111001100111110100000001101001111100111000000E-1119");
+
+ consistency ();
+ test_20070603 ();
+ test_20070628 ();
+ test_generic (2, 800, 50);
+
+ tests_end_mpfr ();
+ return 0;
+}
projects / msp430-gcc.git / blobdiff