14a238c70SJohn Marino /* mpfr_sec - secant function = 1/cos. 24a238c70SJohn Marino 3*ab6d115fSJohn Marino Copyright 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013 Free Software Foundation, Inc. 4*ab6d115fSJohn Marino Contributed by the AriC and Caramel projects, INRIA. 54a238c70SJohn Marino 64a238c70SJohn Marino This file is part of the GNU MPFR Library. 74a238c70SJohn Marino 84a238c70SJohn Marino The GNU MPFR Library is free software; you can redistribute it and/or modify 94a238c70SJohn Marino it under the terms of the GNU Lesser General Public License as published by 104a238c70SJohn Marino the Free Software Foundation; either version 3 of the License, or (at your 114a238c70SJohn Marino option) any later version. 124a238c70SJohn Marino 134a238c70SJohn Marino The GNU MPFR Library is distributed in the hope that it will be useful, but 144a238c70SJohn Marino WITHOUT ANY WARRANTY; without even the implied warranty of MERCHANTABILITY 154a238c70SJohn Marino or FITNESS FOR A PARTICULAR PURPOSE. See the GNU Lesser General Public 164a238c70SJohn Marino License for more details. 174a238c70SJohn Marino 184a238c70SJohn Marino You should have received a copy of the GNU Lesser General Public License 194a238c70SJohn Marino along with the GNU MPFR Library; see the file COPYING.LESSER. If not, see 204a238c70SJohn Marino http://www.gnu.org/licenses/ or write to the Free Software Foundation, Inc., 214a238c70SJohn Marino 51 Franklin St, Fifth Floor, Boston, MA 02110-1301, USA. */ 224a238c70SJohn Marino 234a238c70SJohn Marino #define FUNCTION mpfr_sec 244a238c70SJohn Marino #define INVERSE mpfr_cos 254a238c70SJohn Marino #define ACTION_NAN(y) do { MPFR_SET_NAN(y); MPFR_RET_NAN; } while (1) 264a238c70SJohn Marino #define ACTION_INF(y) do { MPFR_SET_NAN(y); MPFR_RET_NAN; } while (1) 274a238c70SJohn Marino #define ACTION_ZERO(y,x) return mpfr_set_ui (y, 1, rnd_mode) 284a238c70SJohn Marino /* for x near 0, sec(x) = 1 + x^2/2 + ..., more precisely |sec(x)-1| < x^2 294a238c70SJohn Marino for |x| <= 1. */ 304a238c70SJohn Marino #define ACTION_TINY(y,x,r) \ 314a238c70SJohn Marino MPFR_FAST_COMPUTE_IF_SMALL_INPUT(y, __gmpfr_one, -2 * MPFR_GET_EXP (x), 0, \ 324a238c70SJohn Marino 1, r, inexact = _inexact; goto end) 334a238c70SJohn Marino 344a238c70SJohn Marino #include "gen_inverse.h" 35