/* Test mpf_trunc, mpf_ceil, mpf_floor. Copyright 2001, 2002 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_print (mpf_srcptr src, mpf_srcptr got, mpf_srcptr want) { mp_trace_base = 16; mpf_trace ("src ", src); mpf_trace ("got ", got); mpf_trace ("want", want); printf ("got size=%d exp=%ld\n", SIZ(got), EXP(got)); mpn_trace (" limbs=", PTR(got), (mp_size_t) ABSIZ(got)); printf ("want size=%d exp=%ld\n", SIZ(want), EXP(want)); mpn_trace (" limbs=", PTR(want), (mp_size_t) ABSIZ(want)); } void check_one (mpf_srcptr src, mpf_srcptr trunc, mpf_srcptr ceil, mpf_srcptr floor) { mpf_t got; mpf_init2 (got, mpf_get_prec (trunc)); ASSERT_ALWAYS (PREC(got) == PREC(trunc)); ASSERT_ALWAYS (PREC(got) == PREC(ceil)); ASSERT_ALWAYS (PREC(got) == PREC(floor)); #define CHECK_SEP(name, fun, want) \ mpf_set_ui (got, 54321L); /* initial junk */ \ fun (got, src); \ MPF_CHECK_FORMAT (got); \ if (mpf_cmp (got, want) != 0) \ { \ printf ("%s wrong\n", name); \ check_print (src, got, want); \ abort (); \ } CHECK_SEP ("mpf_trunc", mpf_trunc, trunc); CHECK_SEP ("mpf_ceil", mpf_ceil, ceil); CHECK_SEP ("mpf_floor", mpf_floor, floor); #define CHECK_INPLACE(name, fun, want) \ mpf_set (got, src); \ fun (got, got); \ MPF_CHECK_FORMAT (got); \ if (mpf_cmp (got, want) != 0) \ { \ printf ("%s wrong\n", name); \ check_print (src, got, want); \ abort (); \ } CHECK_INPLACE ("mpf_trunc", mpf_trunc, trunc); /* Can't do these unconditionally in case truncation by mpf_set strips some low non-zero limbs which would have rounded the result. */ if (ABSIZ(src) <= PREC(trunc)+1) { CHECK_INPLACE ("mpf_ceil", mpf_ceil, ceil); CHECK_INPLACE ("mpf_floor", mpf_floor, floor); } mpf_clear (got); } void check_all (mpf_ptr src, mpf_ptr trunc, mpf_ptr ceil, mpf_ptr floor) { /* some of these values are generated with direct field assignments */ MPF_CHECK_FORMAT (src); MPF_CHECK_FORMAT (trunc); MPF_CHECK_FORMAT (ceil); MPF_CHECK_FORMAT (floor); check_one (src, trunc, ceil, floor); mpf_neg (src, src); mpf_neg (trunc, trunc); mpf_neg (ceil, ceil); mpf_neg (floor, floor); check_one (src, trunc, floor, ceil); } void check_various (void) { mpf_t src, trunc, ceil, floor; int n, i; mpf_init2 (src, 512L); mpf_init2 (trunc, 256L); mpf_init2 (ceil, 256L); mpf_init2 (floor, 256L); /* 0 */ mpf_set_ui (src, 0L); mpf_set_ui (trunc, 0L); mpf_set_ui (ceil, 0L); mpf_set_ui (floor, 0L); check_all (src, trunc, ceil, floor); /* 1 */ mpf_set_ui (src, 1L); mpf_set_ui (trunc, 1L); mpf_set_ui (ceil, 1L); mpf_set_ui (floor, 1L); check_all (src, trunc, ceil, floor); /* 2^1024 */ mpf_set_ui (src, 1L); mpf_mul_2exp (src, src, 1024L); mpf_set (trunc, src); mpf_set (ceil, src); mpf_set (floor, src); check_all (src, trunc, ceil, floor); /* 1/2^1024, fraction only */ mpf_set_ui (src, 1L); mpf_div_2exp (src, src, 1024L); mpf_set_si (trunc, 0L); mpf_set_si (ceil, 1L); mpf_set_si (floor, 0L); check_all (src, trunc, ceil, floor); /* 1/2 */ mpf_set_ui (src, 1L); mpf_div_2exp (src, src, 1L); mpf_set_si (trunc, 0L); mpf_set_si (ceil, 1L); mpf_set_si (floor, 0L); check_all (src, trunc, ceil, floor); /* 123+1/2^64 */ mpf_set_ui (src, 1L); mpf_div_2exp (src, src, 64L); mpf_add_ui (src, src, 123L); mpf_set_si (trunc, 123L); mpf_set_si (ceil, 124L); mpf_set_si (floor, 123L); check_all (src, trunc, ceil, floor); /* integer of full prec+1 limbs, unchanged */ n = PREC(trunc)+1; ASSERT_ALWAYS (n <= PREC(src)+1); EXP(src) = n; SIZ(src) = n; for (i = 0; i < SIZ(src); i++) PTR(src)[i] = i+100; mpf_set (trunc, src); mpf_set (ceil, src); mpf_set (floor, src); check_all (src, trunc, ceil, floor); /* full prec+1 limbs, 1 trimmed for integer */ n = PREC(trunc)+1; ASSERT_ALWAYS (n <= PREC(src)+1); EXP(src) = n-1; SIZ(src) = n; for (i = 0; i < SIZ(src); i++) PTR(src)[i] = i+200; EXP(trunc) = n-1; SIZ(trunc) = n-1; for (i = 0; i < SIZ(trunc); i++) PTR(trunc)[i] = i+201; mpf_set (floor, trunc); mpf_add_ui (ceil, trunc, 1L); check_all (src, trunc, ceil, floor); /* prec+3 limbs, 2 trimmed for size */ n = PREC(trunc)+3; ASSERT_ALWAYS (n <= PREC(src)+1); EXP(src) = n; SIZ(src) = n; for (i = 0; i < SIZ(src); i++) PTR(src)[i] = i+300; EXP(trunc) = n; SIZ(trunc) = n-2; for (i = 0; i < SIZ(trunc); i++) PTR(trunc)[i] = i+302; mpf_set (floor, trunc); mpf_set (ceil, trunc); PTR(ceil)[0]++; check_all (src, trunc, ceil, floor); /* prec+4 limbs, 2 trimmed for size, 1 trimmed for integer */ n = PREC(trunc)+4; ASSERT_ALWAYS (n <= PREC(src)+1); EXP(src) = n-1; SIZ(src) = n; for (i = 0; i < SIZ(src); i++) PTR(src)[i] = i+400; EXP(trunc) = n-1; SIZ(trunc) = n-3; for (i = 0; i < SIZ(trunc); i++) PTR(trunc)[i] = i+403; mpf_set (floor, trunc); mpf_set (ceil, trunc); PTR(ceil)[0]++; check_all (src, trunc, ceil, floor); /* F.F, carry out of ceil */ EXP(src) = 1; SIZ(src) = 2; PTR(src)[0] = GMP_NUMB_MAX; PTR(src)[1] = GMP_NUMB_MAX; EXP(trunc) = 1; SIZ(trunc) = 1; PTR(trunc)[0] = GMP_NUMB_MAX; mpf_set (floor, trunc); EXP(ceil) = 2; SIZ(ceil) = 1; PTR(ceil)[0] = 1; check_all (src, trunc, ceil, floor); /* FF.F, carry out of ceil */ EXP(src) = 2; SIZ(src) = 3; PTR(src)[0] = GMP_NUMB_MAX; PTR(src)[1] = GMP_NUMB_MAX; PTR(src)[2] = GMP_NUMB_MAX; EXP(trunc) = 2; SIZ(trunc) = 2; PTR(trunc)[0] = GMP_NUMB_MAX; PTR(trunc)[1] = GMP_NUMB_MAX; mpf_set (floor, trunc); EXP(ceil) = 3; SIZ(ceil) = 1; PTR(ceil)[0] = 1; check_all (src, trunc, ceil, floor); mpf_clear (src); mpf_clear (trunc); mpf_clear (ceil); mpf_clear (floor); } int main (void) { tests_start (); check_various (); tests_end (); exit (0); }