diff options
Diffstat (limited to 'mpfr/tests/tpow3.c')
| -rw-r--r-- | mpfr/tests/tpow3.c | 423 |
1 files changed, 423 insertions, 0 deletions
diff --git a/mpfr/tests/tpow3.c b/mpfr/tests/tpow3.c new file mode 100644 index 000000000..ab6c9e626 --- /dev/null +++ b/mpfr/tests/tpow3.c @@ -0,0 +1,423 @@ +/* Test file for mpfr_pow. + +Copyright (C) 2001 Free Software Foundation. +Adapted from tarctan.c. + +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 <limits.h> +#include <stdlib.h> +#include <gmp.h> +#include "gmp-impl.h" +#include <mpfr.h> +#include "mpfr-impl.h" + + +int +main (int argc, char *argv[]) +{ + mpfr_t x, y, z, ax; + long int iy; + mpfr_init (x); + mpfr_init (ax); + mpfr_init2 (y,sizeof(unsigned long int)*CHAR_BIT); + mpfr_init (z); + + MPFR_SET_NAN(x); + mpfr_random(y); + mpfr_pow (z, x,y, GMP_RNDN); + if(!MPFR_IS_NAN(z)) + { + printf ("evaluation of function in x=NAN does not return NAN"); + exit (1); + } + + MPFR_SET_NAN(y); + mpfr_random(x); + mpfr_pow (z, x,y, GMP_RNDN); + if(!MPFR_IS_NAN(z)) + { + printf ("evaluation of function in y=NAN does not return NAN"); + exit (1); + } + + MPFR_CLEAR_FLAGS(z); + MPFR_CLEAR_FLAGS(y); + MPFR_CLEAR_FLAGS(x); + + MPFR_SET_ZERO(y); + mpfr_random(x); + mpfr_pow (z, x,y, GMP_RNDN); + if(mpfr_cmp_ui(z,1)!=0 && !(MPFR_IS_NAN(x))) + { + printf ("evaluation of function in y=0 does not return 1\n"); + printf ("x ="); + mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN); + printf ("\n y ="); + mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN); + printf ("\n result ="); + mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN); + exit (1); + } + + MPFR_CLEAR_FLAGS(z); + MPFR_CLEAR_FLAGS(y); + MPFR_CLEAR_FLAGS(x); + + MPFR_SET_INF(y); + if (MPFR_SIGN(y) < 0) + MPFR_CHANGE_SIGN(y); + mpfr_random(x); + mpfr_set_prec (ax, MPFR_PREC(x)); + mpfr_abs(ax,x,GMP_RNDN); + mpfr_pow (z, x,y, GMP_RNDN); + if( !MPFR_IS_INF(z) && (mpfr_cmp_ui(ax,1) > 0) ) + { + printf ("evaluation of function in y=INF (|x|>1) does not return INF"); + exit (1); + } + if( !MPFR_IS_ZERO(z) && (mpfr_cmp_ui(ax,1) < 0) ) + { + printf ("\nevaluation of function in y=INF (|x|<1) does not return 0"); + printf ("\nx ="); + mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN); + printf ("\n y ="); + mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN); + printf ("\n result ="); + mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN); + putchar('\n'); + exit (1); + } + + + MPFR_CLEAR_FLAGS(z); + MPFR_CLEAR_FLAGS(y); + MPFR_CLEAR_FLAGS(x); + + MPFR_SET_INF(y); + if (MPFR_SIGN(y) > 0) + MPFR_CHANGE_SIGN(y); + mpfr_random(x); + mpfr_set_prec (ax, MPFR_PREC(x)); + mpfr_abs(ax,x,GMP_RNDN); + mpfr_pow (z, x,y, GMP_RNDN); + mpfr_pow (z, x,y, GMP_RNDN); + if( !MPFR_IS_INF(z) && (mpfr_cmp_ui(ax,1) < 0) ) + { + printf ("evaluation of function in y=INF (for |x| <0) does not return INF"); + exit (1); + } + if( !MPFR_IS_ZERO(z) && (mpfr_cmp_ui(ax,1) > 0) ) + { + printf ("evaluation of function in y=INF (for |x| >0) does not return 0"); + exit (1); + } + + MPFR_CLEAR_FLAGS(z); + MPFR_CLEAR_FLAGS(y); + MPFR_CLEAR_FLAGS(x); + + MPFR_SET_INF(x); + if (MPFR_SIGN(x) < 0) + MPFR_CHANGE_SIGN(x); + mpfr_random(y); + mpfr_pow (z, x,y, GMP_RNDN); + if(!MPFR_IS_INF(z) && (MPFR_SIGN(y) > 0)) + { + printf ("evaluation of function in INF does not return INF"); + printf ("\nx ="); + mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN); + printf ("\n y ="); + mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN); + printf ("\n result ="); + mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN); + putchar('\n'); + exit (1); + } + if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) < 0)) + { + printf ("evaluation of function in INF does not return INF"); + printf ("\nx ="); + mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN); + printf ("\n y ="); + mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN); + printf ("\n result ="); + mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN); + putchar('\n'); + exit (1); + } + + + MPFR_CLEAR_FLAGS(z); + MPFR_CLEAR_FLAGS(y); + MPFR_CLEAR_FLAGS(x); + + MPFR_SET_INF(x); + if (MPFR_SIGN(x) > 0) + MPFR_CHANGE_SIGN(x); + mpfr_random(y); + if (random() % 2) + mpfr_neg (y, y, GMP_RNDN); + mpfr_pow (z, x,y, GMP_RNDN); + if(!MPFR_IS_INF(z) && (MPFR_SIGN(y) > 0) && (mpfr_isinteger(y))) + { + printf ("evaluation of function in x=-INF does not return INF"); + printf ("\nx ="); + mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN); + printf ("\n y ="); + mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN); + printf ("\n result ="); + mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN); + putchar('\n'); + if(mpfr_isinteger(y)) + printf("y is an integer\n"); + else + printf("y is not an integer\n"); + + exit (1); + } + if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) < 0) && (mpfr_isinteger(y))) + { + printf ("evaluation of function in x=-INF does not return 0"); + printf ("\nx ="); + mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN); + printf ("\n y ="); + mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN); + printf ("\n result ="); + mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN); + putchar('\n'); + + if(mpfr_isinteger(y)) + printf("y is an integer\n"); + else + printf("y is not an integer\n"); + + exit (1); + } + MPFR_CLEAR_FLAGS(z); + MPFR_CLEAR_FLAGS(y); + MPFR_CLEAR_FLAGS(x); + + MPFR_SET_INF(x); + if (MPFR_SIGN(x) > 0) + MPFR_CHANGE_SIGN(x); + + iy=random(); + mpfr_random(y); + if (random() % 2) + iy=-iy; + mpfr_set_d(y,iy,GMP_RNDN); + mpfr_pow (z, x,y, GMP_RNDN); + if(!MPFR_IS_INF(z) && (MPFR_SIGN(y) > 0) && (mpfr_isinteger(y))) + { + printf ("evaluation of function in x=-INF does not return INF"); + printf ("\nx ="); + mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN); + printf ("\n y ="); + mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN); + printf ("\n result ="); + mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN); + putchar('\n'); + if(mpfr_isinteger(y)) + printf("y is an integer\n"); + else + printf("y is not an integer\n"); + + exit (1); + } + if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) < 0) && (mpfr_isinteger(y))) + { + printf ("evaluation of function in x=-INF does not return 0"); + printf ("\nx ="); + mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN); + printf ("\n y ="); + mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN); + printf ("\n result ="); + mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN); + putchar('\n'); + + if(mpfr_isinteger(y)) + printf("y is an integer\n"); + else + printf("y is not an integer\n"); + + exit (1); + } + MPFR_CLEAR_FLAGS(z); + MPFR_CLEAR_FLAGS(y); + MPFR_CLEAR_FLAGS(x); + + mpfr_set_ui(x,1,GMP_RNDN); + MPFR_SET_INF(y); + mpfr_pow (z, x,y, GMP_RNDN); + if(!MPFR_IS_NAN(z)) + { + printf ("evaluation of function in x=1, y=INF does not return NAN"); + printf ("\nx ="); + mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN); + printf ("\n y ="); + mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN); + printf ("\n result ="); + mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN); + putchar('\n'); + + exit (1); + } + + MPFR_CLEAR_FLAGS(z); + MPFR_CLEAR_FLAGS(y); + MPFR_CLEAR_FLAGS(x); + + MPFR_SET_ZERO(x); + mpfr_random(y); + if (random() % 2) + mpfr_neg (y, y, GMP_RNDN); + + mpfr_pow (z, x,y, GMP_RNDN); + + if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) < 0) && !(mpfr_isinteger(y))) + { + printf ("evaluation of function in y<0 does not return 0"); + printf ("\nx ="); + mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN); + printf ("\n y ="); + mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN); + printf ("\n result ="); + mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN); + putchar('\n'); + + exit (1); + } + if(!MPFR_IS_INF(z) && (MPFR_SIGN(y) < 0) && (mpfr_isinteger(y))) + { + printf ("evaluation of function in y<0 (y integer) does not return INF"); + printf ("\nx ="); + mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN); + printf ("\n y ="); + mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN); + printf ("\n result ="); + mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN); + putchar('\n'); + exit (1); + } + if(!MPFR_IS_ZERO(z) && (MPFR_SIGN(y) > 0) && (mpfr_isinteger(y))) + { + printf ("evaluation of function in y<0 (y integer) does not return 0"); + printf ("\nx ="); + mpfr_out_str (stdout, 10, MPFR_PREC(x), x, GMP_RNDN); + printf ("\n y ="); + mpfr_out_str (stdout, 10, MPFR_PREC(y), y, GMP_RNDN); + printf ("\n result ="); + mpfr_out_str (stdout, 10, MPFR_PREC(z), z, GMP_RNDN); + putchar('\n'); + exit (1); + } + + + { + mp_prec_t prec, yprec; + mpfr_t t, s; + mp_rnd_t rnd; + int inexact, compare, compare2; + unsigned int n, err; + + int p0=1; + int p1=100; + int N=100; + + mpfr_init (s); + mpfr_init (t); + + /* generic test */ + for (prec = p0; prec <= p1; prec++) + { + mpfr_set_prec (x, prec); + mpfr_set_prec (s, sizeof(unsigned long int)*CHAR_BIT); + mpfr_set_prec (z, prec); + mpfr_set_prec (t, prec); + yprec = prec + 10; + + for (n=0; n<N; n++) + { + + mpfr_random (x); + + mpfr_random (s); + if (random() % 2) + mpfr_neg (s, s, GMP_RNDN); + rnd = random () % 4; + mpfr_set_prec (y, yprec); + compare = mpfr_pow (y, x, s, rnd); + err = (rnd == GMP_RNDN) ? yprec + 1 : yprec; + if (mpfr_can_round (y, err, rnd, rnd, prec)) + { + mpfr_set (t, y, rnd); + inexact = mpfr_pow (z,x, s, rnd); + if (mpfr_cmp (t, z)) + { + printf ("results differ for x="); + mpfr_out_str (stdout, 2, prec, x, GMP_RNDN); + printf (" values of the exponential="); + mpfr_out_str (stdout, 2, prec, s, GMP_RNDN); + printf (" prec=%u rnd_mode=%s\n", (unsigned) prec, + mpfr_print_rnd_mode (rnd)); + printf ("got "); + mpfr_out_str (stdout, 2, prec, z, GMP_RNDN); + putchar ('\n'); + printf ("expected "); + mpfr_out_str (stdout, 2, prec, t, GMP_RNDN); + putchar ('\n'); + printf ("approx "); + mpfr_print_raw (y); + putchar ('\n'); + exit (1); + } + compare2 = mpfr_cmp (t, y); + /* if rounding to nearest, cannot know the sign of t - f(x) + because of composed rounding: y = o(f(x)) and t = o(y) */ + if ((rnd != GMP_RNDN) && (compare * compare2 >= 0)) + compare = compare + compare2; + else + compare = inexact; /* cannot determine sign(t-f(x)) */ + if (((inexact == 0) && (compare != 0)) || + ((inexact > 0) && (compare <= 0)) || + ((inexact < 0) && (compare >= 0))) + { + fprintf (stderr, "Wrong inexact flag for rnd=%s: expected %d, got %d\n", + mpfr_print_rnd_mode (rnd), compare, inexact); + printf ("x="); mpfr_print_raw (x); putchar ('\n'); + printf ("y="); mpfr_print_raw (y); putchar ('\n'); + printf ("t="); mpfr_print_raw (t); putchar ('\n'); + exit (1); + } + } + } + } + + mpfr_clear (s); + mpfr_clear (t); + + } + mpfr_clear (x); + mpfr_clear (y); + mpfr_clear (z); + mpfr_clear (ax); + + return 0; +} |