/* Test mpz_pow_ui and mpz_ui_pow_ui. Copyright 1997, 1999, 2000, 2001 Free Software Foundation, Inc. This file is part of the GNU MP Library. The GNU MP 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 MP 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 MP Library; see the file COPYING.LIB. If not, write to the Free Software Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA. */ #include #include #include "mpir.h" #include "gmp-impl.h" #include "tests.h" void check_one (mpz_srcptr want, mpz_srcptr base, unsigned long exp) { mpz_t got; mpz_init (got); mpz_pow_ui (got, base, exp); if (mpz_cmp (got, want)) { printf ("mpz_pow_ui wrong\n"); mpz_trace (" base", base); printf (" exp = %lu (0x%lX)\n", exp, exp); mpz_trace (" got ", got); mpz_trace (" want", want); abort (); } mpz_set (got, base); mpz_pow_ui (got, got, exp); if (mpz_cmp (got, want)) { printf ("mpz_pow_ui wrong\n"); mpz_trace (" base", base); printf (" exp = %lu (0x%lX)\n", exp, exp); mpz_trace (" got ", got); mpz_trace (" want", want); abort (); } if (mpz_fits_ulong_p (base)) { unsigned long base_u = mpz_get_ui (base); mpz_ui_pow_ui (got, base_u, exp); if (mpz_cmp (got, want)) { printf ("mpz_ui_pow_ui wrong\n"); printf (" base=%lu (0x%lX)\n", base_u, base_u); printf (" exp = %lu (0x%lX)\n", exp, exp); mpz_trace (" got ", got); mpz_trace (" want", want); abort (); } } mpz_clear (got); } void check_base (mpz_srcptr base) { unsigned long exp; mpz_t want; mpz_init (want); mpz_set_ui (want, 1L); for (exp = 0; exp < 20; exp++) { check_one (want, base, exp); mpz_mul (want, want, base); } mpz_clear (want); } void check_various (void) { static const struct { const char *base; } data[] = { { "0" }, { "1" }, { "2" }, { "3" }, { "4" }, { "5" }, { "6" }, { "10" }, { "15" }, { "16" }, { "0x1F" }, { "0xFF" }, { "0x1001" }, { "0xFFFF" }, { "0x10000001" }, { "0x1000000000000001" }, /* actual size closest to estimate */ { "0xFFFFFFFF" }, { "0xFFFFFFFFFFFFFFFF" }, /* same after rshift */ { "0xFFFFFFFF0" }, { "0xFFFFFFFF00" }, { "0xFFFFFFFFFFFFFFFF0" }, { "0xFFFFFFFFFFFFFFFF00" }, /* change from 2 limbs to 1 after rshift */ { "0x180000000" }, { "0x18000000000000000" }, /* change from 3 limbs to 2 after rshift */ { "0x18000000100000000" }, { "0x180000000000000010000000000000000" }, /* handling of absolute value */ { "-0x80000000" }, { "-0x8000000000000000" }, /* low zero limb, and size>2, checking argument overlap detection */ { "0x3000000000000000300000000000000030000000000000000" }, }; mpz_t base; int i; mpz_init (base); for (i = 0; i < numberof (data); i++) { mpz_set_str_or_abort (base, data[i].base, 0); check_base (base); } mpz_clear (base); } void check_random (int reps) { mpz_t base, want; mp_size_t base_size; int i; unsigned long size_range, exp; gmp_randstate_ptr rands = RANDS; mpz_init (base); mpz_init (want); for (i = 0; i < reps; i++) { /* exponentially random 0 to 2^13 bits for base */ mpz_urandomb (want, rands, 32); size_range = mpz_get_ui (want) % 12 + 2; mpz_urandomb (want, rands, size_range); base_size = mpz_get_ui (want); mpz_rrandomb (base, rands, base_size); /* randomly signed base */ mpz_urandomb (want, rands, 2); if ((mpz_get_ui (want) & 1) != 0) mpz_neg (base, base); /* random 5 bits for exponent */ mpz_urandomb (want, rands, 5L); exp = mpz_get_ui (want); refmpz_pow_ui (want, base, exp); check_one (want, base, exp); } mpz_clear (base); mpz_clear (want); } int main (int argc, char **argv) { int reps = 500; /* dummy call to drag in refmpn.o for testing mpz/n_pow_ui.c with refmpn_mul_2 */ refmpn_zero_p (NULL, (mp_size_t) 0); tests_start (); mp_trace_base = -16; if (argc == 2) reps = atoi (argv[1]); check_various (); check_random (reps); tests_end (); exit (0); }