📄 mptan.c
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/* * IBM Accurate Mathematical Library * written by International Business Machines Corp. * Copyright (C) 2001 Free Software Foundation * * This program 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. * * This program 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 this program; if not, write to the Free Software * Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA. *//**********************************************************************//* MODULE_NAME:mptan.c *//* *//* FUNCTION: mptan *//* *//* FILES NEEDED: endian.h mpa.h *//* mpa.c sincos32.c branred.c *//* *//* Multi-Precision tan() function subroutine, for p=32. It is based *//* on the routines mpranred() and c32(). mpranred() performs range *//* reduction of a double number x into a multiple precision number *//* y, such that y=x-n*pi/2, abs(y)<pi/4, n=0,+-1,+-2,.... c32() *//* computes both sin(y), cos(y). tan(x) is either sin(y)/cos(y) *//* or -cos(y)/sin(y). The precision of the result is of about 559 *//* significant bits. *//* *//**********************************************************************/#include "endian.h"#include "mpa.h"int __mpranred(double, mp_no *, int);void __c32(mp_no *, mp_no *, mp_no *, int);void __mptan(double x, mp_no *mpy, int p) { static const double MONE = -1.0; int n; mp_no mpw, mpc, mps; n = __mpranred(x, &mpw, p) & 0x00000001; /* negative or positive result */ __c32(&mpw, &mpc, &mps, p); /* computing sin(x) and cos(x) */ if (n) /* second or fourth quarter of unit circle */ { __dvd(&mpc,&mps,mpy,p); mpy->d[0] *= MONE; } /* tan is negative in this area */ else __dvd(&mps,&mpc,mpy,p); return;}
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