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-/* div_ext.c -- Divide two intervals:
- when the denominator contains 0,
- returns two intervals and a gap between them.
-
- The returned integer is the number of returned intervals.
-
-Copyright 2018
- AriC project, Inria Grenoble - Rhone-Alpes, France
-
-This file is part of the MPFI Library.
-
-The MPFI 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 MPFI 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 MPFI Library; see the file COPYING.LIB. If not, write to
-the Free Software Foundation, Inc., 51 Franklin St, Fifth Floor, Boston,
-MA 02110-1301, USA. */
-
-#include "mpfi-impl.h"
-
-int
-mpfi_div_ext (mpfi_ptr res1, mpfi_ptr res2, mpfi_srcptr op1, mpfi_srcptr op2)
-{
- mpfr_t tmp1, tmp2;
- int nb_res = 0, tmp;
-
- if ( MPFI_NAN_P (op1) || MPFI_NAN_P (op2) ) {
- mpfr_set_nan (&(res1->left));
- mpfr_set_nan (&(res1->right));
- mpfr_set_nan (&(res2->left));
- mpfr_set_nan (&(res2->right));
- return 0;
- }
-
- if (MPFI_HAS_ZERO (op2)) {
- if ( MPFR_IS_INF(&(op2->left)) && MPFR_IS_INF(&(op2->right)) ) {
- mpfr_set_inf (&(res1->left), -1);
- mpfr_set_inf (&(res1->right), 1);
- mpfr_set_nan (&(res2->left));
- mpfr_set_nan (&(res2->right));
- nb_res = 1;
- }
- else if ( MPFI_HAS_ZERO_NONSTRICT (op1) ) {
- mpfr_set_inf (&(res1->left), -1);
- mpfr_set_inf (&(res1->right), 1);
- mpfr_set_nan (&(res2->left));
- mpfr_set_nan (&(res2->right));
- nb_res = 1;
- }
- else if ( MPFI_IS_STRICTLY_NEG (op1) ) {
- mpfr_init2 (tmp1, mpfi_get_prec(res1));
- mpfr_init2 (tmp2, mpfi_get_prec(res2));
- if ( mpfr_number_p (&(op2->left)) ) {
- tmp = mpfr_div (&(tmp2), &(op1->right), &(op2->left), MPFI_RNDD);
- }
- else { /* denominator has infinite left endpoint */
- mpfr_set_zero (&(tmp2), 1);
- }
-
- if ( mpfr_number_p (&(op2->right)) ) {
- tmp = mpfr_div ( &(tmp1), &(op1->right), &(op2->right), MPFI_RNDU);
- }
- else { /* denominator has infinite right endpoint */
- mpfr_set_zero( &(tmp1), -1);
- }
-
- mpfr_set_inf (&(res1->left), -1);
- mpfr_set (&(res1->right), tmp1, MPFI_RNDU);
- mpfr_set (&(res2->left), tmp2, MPFI_RNDD);
- mpfr_set_inf (&(res2->right), 1);
-
- mpfr_clear(tmp1);
- mpfr_clear(tmp2);
-
- nb_res = 2;
- }
- else { /* if ( MPFI_IS_STRICTLY_POS (op1) ) */
- mpfr_init2 (tmp1, mpfi_get_prec(res1));
- mpfr_init2 (tmp2, mpfi_get_prec(res2));
- if ( mpfr_number_p (&(op2->left)) ) {
- tmp = mpfr_div (&(tmp1), &(op1->left), &(op2->left), MPFI_RNDU);
- }
- else { /* denominator has infinite left endpoint */
- mpfr_set_zero (&(tmp1), -1);
- }
-
- if ( mpfr_number_p (&(op2->right)) ) {
- tmp = mpfr_div ( &(tmp2), &(op1->left), &(op2->right), MPFI_RNDD);
- }
- else { /* denominator has infinite right endpoint */
- mpfr_set_zero( &(tmp2), 1);
- }
- mpfr_set_inf (&(res1->left), -1);
- mpfr_set (&(res1->right), tmp1, MPFI_RNDU);
- mpfr_set (&(res2->left), tmp2, MPFI_RNDD);
- mpfr_set_inf (&(res2->right), 1);
-
- mpfr_clear(tmp1);
- mpfr_clear(tmp2);
-
- nb_res = 2;
- }
- }
-
- else {
- tmp = mpfi_div(res1, op1, op2);
- mpfr_set_nan (&(res2->left));
- mpfr_set_nan (&(res2->right));
- return 1;
- }
-
- if (nb_res >= 1) {
- /* do not allow -0 as lower bound */
- if (mpfr_zero_p (&(res1->left)) && mpfr_signbit (&(res1->left))) {
- mpfr_neg (&(res1->left), &(res1->left), MPFI_RNDU);
- }
- /* do not allow +0 as upper bound */
- if (mpfr_zero_p (&(res1->right)) && !mpfr_signbit (&(res1->right))) {
- mpfr_neg (&(res1->right), &(res1->right), MPFI_RNDD);
- }
- }
- if (nb_res >= 2) {
- /* do not allow -0 as lower bound */
- if (mpfr_zero_p (&(res2->left)) && mpfr_signbit (&(res2->left))) {
- mpfr_neg (&(res2->left), &(res2->left), MPFI_RNDU);
- }
- /* do not allow +0 as upper bound */
- if (mpfr_zero_p (&(res2->right)) && !mpfr_signbit (&(res2->right))) {
- mpfr_neg (&(res2->right), &(res2->right), MPFI_RNDD);
- }
- }
-
- return nb_res;
-}