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Diffstat (limited to 'tests/tlog.c')
| -rw-r--r-- | tests/tlog.c | 361 |
1 files changed, 361 insertions, 0 deletions
diff --git a/tests/tlog.c b/tests/tlog.c new file mode 100644 index 0000000..f056d91 --- /dev/null +++ b/tests/tlog.c @@ -0,0 +1,361 @@ +/* Test file for mpfr_log. + +Copyright 1999, 2001, 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc. +Contributed by the AriC and Caramel 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" + +#ifdef CHECK_EXTERNAL +static int +test_log (mpfr_ptr a, mpfr_srcptr b, mpfr_rnd_t rnd_mode) +{ + int res; + int ok = rnd_mode == MPFR_RNDN && mpfr_number_p (b) && mpfr_get_prec (a)>=53; + if (ok) + { + mpfr_print_raw (b); + } + res = mpfr_log (a, b, rnd_mode); + if (ok) + { + printf (" "); + mpfr_print_raw (a); + printf ("\n"); + } + return res; +} +#else +#define test_log mpfr_log +#endif + +static void +check2 (const char *as, mpfr_rnd_t rnd_mode, const char *res1s) +{ + mpfr_t ta, tres; + + mpfr_inits2 (53, ta, tres, (mpfr_ptr) 0); + mpfr_set_str1 (ta, as); + test_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, MPFR_RNDN); + exit (1); + } + mpfr_clears (ta, tres, (mpfr_ptr) 0); +} + +static void +check3 (double d, unsigned long prec, mpfr_rnd_t rnd) +{ + mpfr_t x, y; + + mpfr_init2 (x, prec); + mpfr_init2 (y, prec); + mpfr_set_d (x, d, rnd); + test_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", MPFR_RNDD, "8.99313519443722736088e-04"); + check2("1.00089971802309629645", MPFR_RNDN, "8.99313519443722844508e-04"); + check2("1.00089971802309629645", MPFR_RNDU, "8.99313519443722844508e-04"); + + check2("1.01979300812244555452", MPFR_RNDD, "1.95996734891603630047e-02"); + check2("1.01979300812244555452", MPFR_RNDN, "1.95996734891603664741e-02"); + check2("1.01979300812244555452", MPFR_RNDU, "1.95996734891603664741e-02"); + + check2("1.02900871924604464525", MPFR_RNDD, "2.85959303301472726744e-02"); + check2("1.02900871924604464525", MPFR_RNDN, "2.85959303301472761438e-02"); + check2("1.02900871924604464525", MPFR_RNDU, "2.85959303301472761438e-02"); + + check2("1.27832870030418943585", MPFR_RNDD, "2.45553521871417795852e-01"); + check2("1.27832870030418943585", MPFR_RNDN, "2.45553521871417823608e-01"); + check2("1.27832870030418943585", MPFR_RNDU, "2.45553521871417823608e-01"); + + check2("1.31706530746788241792", MPFR_RNDD, "2.75406009586277422674e-01"); + check2("1.31706530746788241792", MPFR_RNDN, "2.75406009586277478185e-01"); + check2("1.31706530746788241792", MPFR_RNDU, "2.75406009586277478185e-01"); + + check2("1.47116981099449883885", MPFR_RNDD, "3.86057874110010412760e-01"); + check2("1.47116981099449883885", MPFR_RNDN, "3.86057874110010412760e-01"); + check2("1.47116981099449883885", MPFR_RNDU, "3.86057874110010468272e-01"); + + check2("1.58405446812987782401", MPFR_RNDD, "4.59987679246663727639e-01"); + check2("1.58405446812987782401", MPFR_RNDN, "4.59987679246663783150e-01"); + check2("1.58405446812987782401", MPFR_RNDU, "4.59987679246663783150e-01"); + + check2("1.67192331263391547047", MPFR_RNDD, "5.13974647961076613889e-01"); + check2("1.67192331263391547047", MPFR_RNDN, "5.13974647961076724911e-01"); + check2("1.67192331263391547047", MPFR_RNDU, "5.13974647961076724911e-01"); + + check2("1.71101198068990645318", MPFR_RNDD, "5.37084997042120315669e-01"); + check2("1.71101198068990645318", MPFR_RNDN, "5.37084997042120315669e-01"); + check2("1.71101198068990645318", MPFR_RNDU, "5.37084997042120426691e-01"); + + check2("1.72634853551388700588", MPFR_RNDD, "5.46008504786553605648e-01"); + check2("1.72634853551388700588", MPFR_RNDN, "5.46008504786553716670e-01"); + check2("1.72634853551388700588", MPFR_RNDU, "5.46008504786553716670e-01"); + + check2("2.00028876593004323325", MPFR_RNDD, "6.93291553102749702475e-01"); + check2("2.00028876593004323325", MPFR_RNDN, "6.93291553102749813497e-01"); + check2("2.00028876593004323325", MPFR_RNDU, "6.93291553102749813497e-01"); + + check2("6.27593230200363105808", MPFR_RNDD, "1.83672204800630312072"); + check2("6.27593230200363105808", MPFR_RNDN, "1.83672204800630334276"); + check2("6.27593230200363105808", MPFR_RNDU, "1.83672204800630334276"); + + check2("7.47216682321367997588", MPFR_RNDD, "2.01118502712453661729"); + check2("7.47216682321367997588", MPFR_RNDN, "2.01118502712453706138"); + check2("7.47216682321367997588", MPFR_RNDU, "2.01118502712453706138"); + + check2("9.34589857718275318632", MPFR_RNDD, "2.23493759221664944903"); + check2("9.34589857718275318632", MPFR_RNDN, "2.23493759221664989312"); + check2("9.34589857718275318632", MPFR_RNDU, "2.23493759221664989312"); + + check2("10.6856587560831854944", MPFR_RNDD, "2.36890253928838445674"); + check2("10.6856587560831854944", MPFR_RNDN, "2.36890253928838445674"); + check2("10.6856587560831854944", MPFR_RNDU, "2.36890253928838490083"); + + check2("12.4646345033981766903", MPFR_RNDD, "2.52289539471636015122"); + check2("12.4646345033981766903", MPFR_RNDN, "2.52289539471636015122"); + check2("12.4646345033981766903", MPFR_RNDU, "2.52289539471636059531"); + + check2("17.0953275851761752335", MPFR_RNDD, "2.83880518553861849185"); + check2("17.0953275851761752335", MPFR_RNDN, "2.83880518553861893594"); + check2("17.0953275851761752335", MPFR_RNDU, "2.83880518553861893594"); + + check2("19.8509496207496916043", MPFR_RNDD, "2.98825184582516722998"); + check2("19.8509496207496916043", MPFR_RNDN, "2.98825184582516722998"); + check2("19.8509496207496916043", MPFR_RNDU, "2.98825184582516767406"); + + check2("23.9512076062771335216", MPFR_RNDD, "3.17601874455977206679"); + check2("23.9512076062771335216", MPFR_RNDN, "3.17601874455977206679"); + check2("23.9512076062771335216", MPFR_RNDU, "3.17601874455977251088"); + + check2("428.315247165198229595", MPFR_RNDD, "6.05985948325268264369"); + check2("428.315247165198229595", MPFR_RNDN, "6.05985948325268353187"); + check2("428.315247165198229595", MPFR_RNDU, "6.05985948325268353187"); +} + +static void +special (void) +{ + mpfr_t x, y; + int inex; + mpfr_exp_t emin, emax; + + emin = mpfr_get_emin (); + emax = mpfr_get_emax (); + + 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"); + test_log (y, x, MPFR_RNDN); + set_emin (emin); + set_emax (emax); + + mpfr_set_prec (y, 53); + mpfr_set_prec (x, 53); + mpfr_set_ui (x, 3, MPFR_RNDD); + test_log (y, x, MPFR_RNDD); + if (mpfr_cmp_str1 (y, "1.09861228866810956")) + { + printf ("Error in mpfr_log(3) for MPFR_RNDD\n"); + exit (1); + } + + /* check large precision */ + mpfr_set_prec (x, 3322); + mpfr_set_prec (y, 3322); + mpfr_set_ui (x, 3, MPFR_RNDN); + mpfr_sqrt (x, x, MPFR_RNDN); + test_log (y, x, MPFR_RNDN); + + /* negative argument */ + mpfr_set_si (x, -1, MPFR_RNDN); + test_log (y, x, MPFR_RNDN); + MPFR_ASSERTN(mpfr_nan_p (y)); + + /* infinite loop when */ + set_emax (128); + mpfr_set_prec (x, 251); + mpfr_set_prec (y, 251); + mpfr_set_str_binary (x, "0.10010111000000000001101E8"); + /* x = 4947981/32768, log(x) ~ 5.017282... */ + test_log (y, x, MPFR_RNDN); + + set_emax (emax); + + mpfr_set_ui (x, 0, MPFR_RNDN); + inex = test_log (y, x, MPFR_RNDN); + MPFR_ASSERTN (inex == 0); + MPFR_ASSERTN (mpfr_inf_p (y)); + MPFR_ASSERTN (mpfr_sgn (y) < 0); + + mpfr_set_ui (x, 0, MPFR_RNDN); + mpfr_neg (x, x, MPFR_RNDN); + inex = test_log (y, x, MPFR_RNDN); + MPFR_ASSERTN (inex == 0); + MPFR_ASSERTN (mpfr_inf_p (y)); + MPFR_ASSERTN (mpfr_sgn (y) < 0); + + mpfr_clear (x); + mpfr_clear (y); +} + +static void +x_near_one (void) +{ + mpfr_t x, y; + int inex; + + mpfr_init2 (x, 32); + mpfr_init2 (y, 16); + + mpfr_set_ui (x, 1, MPFR_RNDN); + mpfr_nextbelow (x); + inex = mpfr_log (y, x, MPFR_RNDD); + if (mpfr_cmp_str (y, "-0.1000000000000001E-31", 2, MPFR_RNDN) + || inex >= 0) + { + printf ("Failure in x_near_one, got inex = %d and\ny = ", inex); + mpfr_dump (y); + } + + mpfr_clears (x, y, (mpfr_ptr) 0); +} + +#define TEST_FUNCTION test_log +#define TEST_RANDOM_POS 8 +#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]), (mpfr_rnd_t) atoi(argv[3])); + goto done; + } + + special (); + check_worst_cases(); + + check2("1.01979300812244555452", MPFR_RNDN, "1.95996734891603664741e-02"); + check2("10.0",MPFR_RNDU,"2.30258509299404590110e+00"); + check2("6.0",MPFR_RNDU,"1.79175946922805517936"); + check2("1.0",MPFR_RNDZ,"0.0"); + check2("62.0",MPFR_RNDU,"4.12713438504509166905"); + check2("0.5",MPFR_RNDZ,"-6.93147180559945286226e-01"); + check2("3.0",MPFR_RNDZ,"1.09861228866810956006e+00"); + check2("234375765.0",MPFR_RNDU,"1.92724362186836231104e+01"); + check2("8.0",MPFR_RNDZ,"2.07944154167983574765e+00"); + check2("44.0",MPFR_RNDU,"3.78418963391826146392e+00"); + check2("1.01979300812244555452", MPFR_RNDN, "1.95996734891603664741e-02"); + + /* bugs found by Vincent Lefe`vre */ + check2("0.99999599881598921769", MPFR_RNDN, "-0.0000040011920155404072924737977900999652547398000024259090423583984375"); + check2("9.99995576063808955247e-01",MPFR_RNDZ,"-4.42394597667932383816e-06"); + check2("9.99993687357856209097e-01",MPFR_RNDN,"-6.31266206860017342601e-06"); + check2("9.99995223520736886691e-01",MPFR_RNDN,"-4.77649067052670982220e-06"); + check2("9.99993025794720935551e-01",MPFR_RNDN,"-6.97422959894716163837e-06"); + check2("9.99987549017837484833e-01",MPFR_RNDN,"-1.24510596766369924330e-05"); + check2("9.99985901426543311032e-01",MPFR_RNDN,"-1.40986728425098585229e-05"); + check2("9.99986053947420794330e-01",MPFR_RNDN, "-0.000013946149826301084938555592540598837558718514628708362579345703125"); + check2("9.99971938247442126979e-01",MPFR_RNDN,"-2.80621462962173414790e-05"); + + /* other bugs found by Vincent Lefe`vre */ + check2("1.18615436389927785905e+77",MPFR_RNDN,"1.77469768607706015473e+02"); + check2("9.48868723578399476187e+77",MPFR_RNDZ,"1.79549152432275803903e+02"); + check2("2.31822210096938820854e+89",MPFR_RNDN,"2.05770873832573869322e+02"); + + /* further bugs found by Vincent Lefe`vre */ + check2("9.99999989485669482647e-01",MPFR_RNDZ,"-1.05143305726283042331e-08"); + check2("9.99999989237970177136e-01",MPFR_RNDZ,"-1.07620298807745377934e-08"); + check2("9.99999989239339082125e-01",MPFR_RNDN,"-1.07606609757704445430e-08"); + + check2("7.3890560989306504",MPFR_RNDU,"2.0000000000000004"); /* exp(2.0) */ + check2("7.3890560989306495",MPFR_RNDU,"2.0"); /* exp(2.0) */ + check2("7.53428236571286402512e+34",MPFR_RNDZ,"8.03073567492226345621e+01"); + check2("6.18784121531737948160e+19",MPFR_RNDZ,"4.55717030391710693493e+01"); + check2("1.02560267603047283735e+00",MPFR_RNDD,"2.52804164149448735987e-02"); + check2("7.53428236571286402512e+34",MPFR_RNDZ,"8.03073567492226345621e+01"); + check2("1.42470900831881198052e+49",MPFR_RNDZ,"113.180637144887668910087086260318756103515625"); + + check2("1.08013816255293777466e+11",MPFR_RNDN,"2.54055249841782604392e+01"); + check2("6.72783635300509015581e-37",MPFR_RNDU,"-8.32893948416799503320e+01"); + check2("2.25904918906057891180e-52",MPFR_RNDU,"-1.18919480823735682406e+02"); + check2("1.48901209246462951085e+00",MPFR_RNDD,"3.98112874867437460668e-01"); + check2("1.70322470467612341327e-01",MPFR_RNDN,"-1.77006175364294615626"); + check2("1.94572026316065240791e+01",MPFR_RNDD,"2.96821731676437838842"); + check2("4.01419512207026418764e+04",MPFR_RNDD,"1.06001772315501128218e+01"); + check2("9.47077365236487591672e-04",MPFR_RNDZ,"-6.96212977303956748187e+00"); + check2("3.95906157687589643802e-109",MPFR_RNDD,"-2.49605768114704119399e+02"); + check2("2.73874914516503004113e-02",MPFR_RNDD,"-3.59766888618655977794e+00"); + check2("9.18989072589566467669e-17",MPFR_RNDZ,"-3.69258425351464083519e+01"); + check2("7706036453608191045959753324430048151991964994788917248.0",MPFR_RNDZ,"126.3815989984199177342816255986690521240234375"); + check2("1.74827399630587801934e-23",MPFR_RNDZ,"-5.24008281254547156891e+01"); + check2("4.35302958401482307665e+22",MPFR_RNDD,"5.21277441046519527390e+01"); + check2("9.70791868689332915209e+00",MPFR_RNDD,"2.27294191194272210410e+00"); + check2("2.22183639799464011100e-01",MPFR_RNDN,"-1.50425103275253957413e+00"); + check2("2.27313466156682375540e+00",MPFR_RNDD,"8.21159787095675608448e-01"); + check2("6.58057413965851156767e-01",MPFR_RNDZ,"-4.18463096196088235600e-01"); + check2 ("7.34302197248998461006e+43",MPFR_RNDZ,"101.0049094695131799426235374994575977325439453125"); + check2("6.09969788341579732815e+00",MPFR_RNDD,"1.80823924264386204363e+00"); + + x_near_one (); + + test_generic (2, 100, 40); + + data_check ("data/log", mpfr_log, "mpfr_log"); + bad_cases (mpfr_log, mpfr_exp, "mpfr_log", 256, -30, 30, 4, 128, 800, 50); + + done: + tests_end_mpfr (); + return 0; +} |