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/* cosh.c -- Hyperbolic cosine of an interval.
Copyright 1999, 2000, 2001, 2002, 2003, 2004, 2005, 2010,
Spaces project, Inria Lorraine
and Salsa project, INRIA Rocquencourt,
and Arenaire project, Inria Rhone-Alpes, France
and Lab. ANO, USTL (Univ. of Lille), 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_cosh (mpfi_ptr a, mpfi_srcptr b)
{
mpfr_t tmp;
int inexact_left, inexact_right, inexact=0;
if ( MPFI_NAN_P (b) ) {
mpfr_set_nan (&(a->left));
mpfr_set_nan (&(a->right));
MPFR_RET_NAN;
}
if ( MPFI_IS_NONNEG (b) ) {
inexact_left = mpfr_cosh (&(a->left), &(b->left), MPFI_RNDD);
inexact_right = mpfr_cosh (&(a->right), &(b->right), MPFI_RNDU);
}
else if ( MPFI_HAS_ZERO (b) ) {
if (mpfr_cmpabs (&(b->left), &(b->right)) > 0)
inexact_right = mpfr_cosh (&(a->right), &(b->left), MPFI_RNDU);
else
inexact_right = mpfr_cosh ( &(a->right), &(b->right), MPFI_RNDU);
inexact_left = mpfr_set_ui (&(a->left), 1, MPFI_RNDD);
}
else { /* b <= 0 */
mpfr_init2 (tmp, mpfr_get_prec (&(a->left)));
inexact_left = mpfr_cosh (tmp, &(b->right), MPFI_RNDD);
inexact_right = mpfr_cosh (&(a->right), &(b->left), MPFI_RNDU);
mpfr_set (&(a->left), tmp, MPFI_RNDD); /* exact */
mpfr_clear (tmp);
}
if (inexact_left)
inexact += 1;
if (inexact_right)
inexact += 2;
return inexact;
}
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