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85 lines
3.2 KiB
C
85 lines
3.2 KiB
C
/*
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* IBM Accurate Mathematical Library
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* written by International Business Machines Corp.
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* Copyright (C) 2001-2016 Free Software Foundation, Inc.
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*
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* This program is free software; you can redistribute it and/or modify
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* it under the terms of the GNU Lesser General Public License as published by
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* the Free Software Foundation; either version 2.1 of the License, or
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* (at your option) any later version.
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*
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* This program is distributed in the hope that it will be useful,
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* but WITHOUT ANY WARRANTY; without even the implied warranty of
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* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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* GNU Lesser General Public License for more details.
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*
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* You should have received a copy of the GNU Lesser General Public License
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* along with this program; if not, see <http://www.gnu.org/licenses/>.
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*/
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/**********************************************************************/
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/* MODULE_NAME: doasin.c */
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/* */
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/* FUNCTION: doasin */
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/* */
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/* FILES NEEDED:endian.h mydefs.h dla.h doasin.h */
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/* mpa.c */
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/* */
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/* Compute arcsin(x,dx,v) of double-length number (x+dx) the result */
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/* stored in v where v= v[0]+v[1] =arcsin(x+dx) */
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/**********************************************************************/
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#include "endian.h"
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#include "mydefs.h"
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#include <dla.h>
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#include <math_private.h>
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#ifndef SECTION
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# define SECTION
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#endif
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/********************************************************************/
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/* Compute arcsin(x,dx,v) of double-length number (x+dx) the result */
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/* stored in v where v= v[0]+v[1] =arcsin(x+dx) */
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/********************************************************************/
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void
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SECTION
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__doasin(double x, double dx, double v[]) {
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#include "doasin.h"
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static const double
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d5 = 0.22372159090911789889975459505194491E-01,
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d6 = 0.17352764422456822913014975683014622E-01,
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d7 = 0.13964843843786693521653681033981614E-01,
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d8 = 0.11551791438485242609036067259086589E-01,
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d9 = 0.97622386568166960207425666787248914E-02,
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d10 = 0.83638737193775788576092749009744976E-02,
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d11 = 0.79470250400727425881446981833568758E-02;
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double xx,p,pp,u,uu,r,s;
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double tc,tcc;
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#ifndef DLA_FMS
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double hx,tx,hy,ty,tp,tq;
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#endif
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/* Taylor series for arcsin for Double-Length numbers */
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xx = x*x+2.0*x*dx;
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p = ((((((d11*xx+d10)*xx+d9)*xx+d8)*xx+d7)*xx+d6)*xx+d5)*xx;
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pp = 0;
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MUL2(x,dx,x,dx,u,uu,tp,hx,tx,hy,ty,tq,tc,tcc);
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ADD2(p,pp,c4.x,cc4.x,p,pp,r,s);
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MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc);
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ADD2(p,pp,c3.x,cc3.x,p,pp,r,s);
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MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc);
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ADD2(p,pp,c2.x,cc2.x,p,pp,r,s);
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MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc);
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ADD2(p,pp,c1.x,cc1.x,p,pp,r,s);
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MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc);
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MUL2(p,pp,x,dx,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc);
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ADD2(p,pp,x,dx,p,pp,r,s);
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v[0]=p;
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v[1]=pp; /* arcsin(x+dx)=v[0]+v[1] */
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}
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