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/* Test file for mpfr_log.
Copyright 1999, 2001, 2002, 2003, 2004 Free Software Foundation, Inc.
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 <stdio.h>
#include <stdlib.h>
#include "mpfr-test.h"
static void
check2 (const char *as, mp_rnd_t rnd_mode, const char *res1s)
{
mpfr_t ta, tres;
mpfr_inits2 (53, ta, tres, NULL);
mpfr_set_str1 (ta, as);
mpfr_log (tres, ta, rnd_mode);
if (mpfr_cmp_str1 (tres, res1s))
{
printf ("mpfr_log failed for a=%s, rnd_mode=%s\n",
as, mpfr_print_rnd_mode (rnd_mode));
printf ("correct result is %s\n mpfr_log gives ",
res1s);
mpfr_out_str(stdout, 10, 0, tres, GMP_RNDN);
exit (1);
}
mpfr_clears (ta, tres, NULL);
}
static void
check3 (double d, unsigned long prec, mp_rnd_t rnd)
{
mpfr_t x, y;
mpfr_init2 (x, prec);
mpfr_init2 (y, prec);
mpfr_set_d (x, d, rnd);
mpfr_log (y, x, rnd);
mpfr_out_str (stdout, 10, 0, y, rnd);
puts ("");
mpfr_print_binary (y);
puts ("");
mpfr_clear (x);
mpfr_clear (y);
}
/* examples from Jean-Michel Muller and Vincent Lefevre
Cf http://www.ens-lyon.fr/~jmmuller/Intro-to-TMD.htm
*/
static void
check_worst_cases (void)
{
check2("1.00089971802309629645", GMP_RNDD, "8.99313519443722736088e-04");
check2("1.00089971802309629645", GMP_RNDN, "8.99313519443722844508e-04");
check2("1.00089971802309629645", GMP_RNDU, "8.99313519443722844508e-04");
check2("1.01979300812244555452", GMP_RNDD, "1.95996734891603630047e-02");
check2("1.01979300812244555452", GMP_RNDN, "1.95996734891603664741e-02");
check2("1.01979300812244555452", GMP_RNDU, "1.95996734891603664741e-02");
check2("1.02900871924604464525", GMP_RNDD, "2.85959303301472726744e-02");
check2("1.02900871924604464525", GMP_RNDN, "2.85959303301472761438e-02");
check2("1.02900871924604464525", GMP_RNDU, "2.85959303301472761438e-02");
check2("1.27832870030418943585", GMP_RNDD, "2.45553521871417795852e-01");
check2("1.27832870030418943585", GMP_RNDN, "2.45553521871417823608e-01");
check2("1.27832870030418943585", GMP_RNDU, "2.45553521871417823608e-01");
check2("1.31706530746788241792", GMP_RNDD, "2.75406009586277422674e-01");
check2("1.31706530746788241792", GMP_RNDN, "2.75406009586277478185e-01");
check2("1.31706530746788241792", GMP_RNDU, "2.75406009586277478185e-01");
check2("1.47116981099449883885", GMP_RNDD, "3.86057874110010412760e-01");
check2("1.47116981099449883885", GMP_RNDN, "3.86057874110010412760e-01");
check2("1.47116981099449883885", GMP_RNDU, "3.86057874110010468272e-01");
check2("1.58405446812987782401", GMP_RNDD, "4.59987679246663727639e-01");
check2("1.58405446812987782401", GMP_RNDN, "4.59987679246663783150e-01");
check2("1.58405446812987782401", GMP_RNDU, "4.59987679246663783150e-01");
check2("1.67192331263391547047", GMP_RNDD, "5.13974647961076613889e-01");
check2("1.67192331263391547047", GMP_RNDN, "5.13974647961076724911e-01");
check2("1.67192331263391547047", GMP_RNDU, "5.13974647961076724911e-01");
check2("1.71101198068990645318", GMP_RNDD, "5.37084997042120315669e-01");
check2("1.71101198068990645318", GMP_RNDN, "5.37084997042120315669e-01");
check2("1.71101198068990645318", GMP_RNDU, "5.37084997042120426691e-01");
check2("1.72634853551388700588", GMP_RNDD, "5.46008504786553605648e-01");
check2("1.72634853551388700588", GMP_RNDN, "5.46008504786553716670e-01");
check2("1.72634853551388700588", GMP_RNDU, "5.46008504786553716670e-01");
check2("2.00028876593004323325", GMP_RNDD, "6.93291553102749702475e-01");
check2("2.00028876593004323325", GMP_RNDN, "6.93291553102749813497e-01");
check2("2.00028876593004323325", GMP_RNDU, "6.93291553102749813497e-01");
check2("6.27593230200363105808", GMP_RNDD, "1.83672204800630312072");
check2("6.27593230200363105808", GMP_RNDN, "1.83672204800630334276");
check2("6.27593230200363105808", GMP_RNDU, "1.83672204800630334276");
check2("7.47216682321367997588", GMP_RNDD, "2.01118502712453661729");
check2("7.47216682321367997588", GMP_RNDN, "2.01118502712453706138");
check2("7.47216682321367997588", GMP_RNDU, "2.01118502712453706138");
check2("9.34589857718275318632", GMP_RNDD, "2.23493759221664944903");
check2("9.34589857718275318632", GMP_RNDN, "2.23493759221664989312");
check2("9.34589857718275318632", GMP_RNDU, "2.23493759221664989312");
check2("10.6856587560831854944", GMP_RNDD, "2.36890253928838445674");
check2("10.6856587560831854944", GMP_RNDN, "2.36890253928838445674");
check2("10.6856587560831854944", GMP_RNDU, "2.36890253928838490083");
check2("12.4646345033981766903", GMP_RNDD, "2.52289539471636015122");
check2("12.4646345033981766903", GMP_RNDN, "2.52289539471636015122");
check2("12.4646345033981766903", GMP_RNDU, "2.52289539471636059531");
check2("17.0953275851761752335", GMP_RNDD, "2.83880518553861849185");
check2("17.0953275851761752335", GMP_RNDN, "2.83880518553861893594");
check2("17.0953275851761752335", GMP_RNDU, "2.83880518553861893594");
check2("19.8509496207496916043", GMP_RNDD, "2.98825184582516722998");
check2("19.8509496207496916043", GMP_RNDN, "2.98825184582516722998");
check2("19.8509496207496916043", GMP_RNDU, "2.98825184582516767406");
check2("23.9512076062771335216", GMP_RNDD, "3.17601874455977206679");
check2("23.9512076062771335216", GMP_RNDN, "3.17601874455977206679");
check2("23.9512076062771335216", GMP_RNDU, "3.17601874455977251088");
check2("428.315247165198229595", GMP_RNDD, "6.05985948325268264369");
check2("428.315247165198229595", GMP_RNDN, "6.05985948325268353187");
check2("428.315247165198229595", GMP_RNDU, "6.05985948325268353187");
}
static void
special (void)
{
mpfr_t x, y;
mpfr_init2 (x, 53);
mpfr_init2 (y, 53);
/* Check special case: An overflow in const_pi could occurs! */
set_emin (-125);
set_emax (128);
mpfr_set_prec (y, 24*2);
mpfr_set_prec (x, 24);
mpfr_set_str_binary (x, "0.111110101010101011110101E0");
mpfr_log (y, x, GMP_RNDN);
set_emin (MPFR_EMIN_MIN);
set_emax (MPFR_EMAX_MAX);
mpfr_set_prec (y, 53);
mpfr_set_prec (x, 53);
mpfr_set_ui (x, 3, GMP_RNDD);
mpfr_log (y, x, GMP_RNDD);
if (mpfr_cmp_str1 (y, "1.09861228866810956"))
{
printf ("Error in mpfr_log(3) for GMP_RNDD\n");
exit (1);
}
/* check large precision */
mpfr_set_prec (x, 3322);
mpfr_set_prec (y, 3322);
mpfr_set_ui (x, 3, GMP_RNDN);
mpfr_sqrt (x, x, GMP_RNDN);
mpfr_log (y, x, GMP_RNDN);
/* negative argument */
mpfr_set_si (x, -1, GMP_RNDN);
mpfr_log (y, x, GMP_RNDN);
MPFR_ASSERTN(mpfr_nan_p (y));
mpfr_clear (x);
mpfr_clear (y);
}
#define TEST_FUNCTION mpfr_log
#include "tgeneric.c"
int
main (int argc, char *argv[])
{
tests_start_mpfr ();
if (argc==4)
{ /* tlog x prec rnd */
check3 (atof(argv[1]), atoi(argv[2]), atoi(argv[3]));
goto done;
}
special ();
check_worst_cases();
check2("1.01979300812244555452", GMP_RNDN, "1.95996734891603664741e-02");
check2("10.0",GMP_RNDU,"2.30258509299404590110e+00");
check2("6.0",GMP_RNDU,"1.79175946922805517936");
check2("1.0",GMP_RNDZ,"0.0");
check2("62.0",GMP_RNDU,"4.12713438504509166905");
check2("0.5",GMP_RNDZ,"-6.93147180559945286226e-01");
check2("3.0",GMP_RNDZ,"1.09861228866810956006e+00");
check2("234375765.0",GMP_RNDU,"1.92724362186836231104e+01");
check2("8.0",GMP_RNDZ,"2.07944154167983574765e+00");
check2("44.0",GMP_RNDU,"3.78418963391826146392e+00");
check2("1.01979300812244555452", GMP_RNDN, "1.95996734891603664741e-02");
/* bugs found by Vincent Lefe`vre */
check2("0.99999599881598921769", GMP_RNDN, "-0.0000040011920155404072924737977900999652547398000024259090423583984375");
check2("9.99995576063808955247e-01",GMP_RNDZ,"-4.42394597667932383816e-06");
check2("9.99993687357856209097e-01",GMP_RNDN,"-6.31266206860017342601e-06");
check2("9.99995223520736886691e-01",GMP_RNDN,"-4.77649067052670982220e-06");
check2("9.99993025794720935551e-01",GMP_RNDN,"-6.97422959894716163837e-06");
check2("9.99987549017837484833e-01",GMP_RNDN,"-1.24510596766369924330e-05");
check2("9.99985901426543311032e-01",GMP_RNDN,"-1.40986728425098585229e-05");
check2("9.99986053947420794330e-01",GMP_RNDN, "-0.000013946149826301084938555592540598837558718514628708362579345703125");
check2("9.99971938247442126979e-01",GMP_RNDN,"-2.80621462962173414790e-05");
/* other bugs found by Vincent Lefe`vre */
check2("1.18615436389927785905e+77",GMP_RNDN,"1.77469768607706015473e+02");
check2("9.48868723578399476187e+77",GMP_RNDZ,"1.79549152432275803903e+02");
check2("2.31822210096938820854e+89",GMP_RNDN,"2.05770873832573869322e+02");
/* further bugs found by Vincent Lefe`vre */
check2("9.99999989485669482647e-01",GMP_RNDZ,"-1.05143305726283042331e-08");
check2("9.99999989237970177136e-01",GMP_RNDZ,"-1.07620298807745377934e-08");
check2("9.99999989239339082125e-01",GMP_RNDN,"-1.07606609757704445430e-08");
check2("7.3890560989306504",GMP_RNDU,"2.0000000000000004"); /* exp(2.0) */
check2("7.3890560989306495",GMP_RNDU,"2.0"); /* exp(2.0) */
check2("7.53428236571286402512e+34",GMP_RNDZ,"8.03073567492226345621e+01");
check2("6.18784121531737948160e+19",GMP_RNDZ,"4.55717030391710693493e+01");
check2("1.02560267603047283735e+00",GMP_RNDD,"2.52804164149448735987e-02");
check2("7.53428236571286402512e+34",GMP_RNDZ,"8.03073567492226345621e+01");
check2("1.42470900831881198052e+49",GMP_RNDZ,"113.180637144887668910087086260318756103515625");
check2("1.08013816255293777466e+11",GMP_RNDN,"2.54055249841782604392e+01");
check2("6.72783635300509015581e-37",GMP_RNDU,"-8.32893948416799503320e+01");
check2("2.25904918906057891180e-52",GMP_RNDU,"-1.18919480823735682406e+02");
check2("1.48901209246462951085e+00",GMP_RNDD,"3.98112874867437460668e-01");
check2("1.70322470467612341327e-01",GMP_RNDN,"-1.77006175364294615626");
check2("1.94572026316065240791e+01",GMP_RNDD,"2.96821731676437838842");
check2("4.01419512207026418764e+04",GMP_RNDD,"1.06001772315501128218e+01");
check2("9.47077365236487591672e-04",GMP_RNDZ,"-6.96212977303956748187e+00");
check2("3.95906157687589643802e-109",GMP_RNDD,"-2.49605768114704119399e+02");
check2("2.73874914516503004113e-02",GMP_RNDD,"-3.59766888618655977794e+00");
check2("9.18989072589566467669e-17",GMP_RNDZ,"-3.69258425351464083519e+01");
check2("7706036453608191045959753324430048151991964994788917248.0",GMP_RNDZ,"126.3815989984199177342816255986690521240234375");
check2("1.74827399630587801934e-23",GMP_RNDZ,"-5.24008281254547156891e+01");
check2("4.35302958401482307665e+22",GMP_RNDD,"5.21277441046519527390e+01");
check2("9.70791868689332915209e+00",GMP_RNDD,"2.27294191194272210410e+00");
check2("2.22183639799464011100e-01",GMP_RNDN,"-1.50425103275253957413e+00");
check2("2.27313466156682375540e+00",GMP_RNDD,"8.21159787095675608448e-01");
check2("6.58057413965851156767e-01",GMP_RNDZ,"-4.18463096196088235600e-01");
check2 ("7.34302197248998461006e+43",GMP_RNDZ,"101.0049094695131799426235374994575977325439453125");
check2("6.09969788341579732815e+00",GMP_RNDD,"1.80823924264386204363e+00");
test_generic (2, 100, 40);
done:
tests_end_mpfr ();
return 0;
}
|
