| /* |
| * IBM Accurate Mathematical Library |
| * written by International Business Machines Corp. |
| * Copyright (C) 2001-2014 Free Software Foundation, Inc. |
| * |
| * 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, see <http://www.gnu.org/licenses/>. |
| */ |
| /**********************************************************************/ |
| /* MODULE_NAME: doasin.c */ |
| /* */ |
| /* FUNCTION: doasin */ |
| /* */ |
| /* FILES NEEDED:endian.h mydefs.h dla.h doasin.h */ |
| /* mpa.c */ |
| /* */ |
| /* Compute arcsin(x,dx,v) of double-length number (x+dx) the result */ |
| /* stored in v where v= v[0]+v[1] =arcsin(x+dx) */ |
| /**********************************************************************/ |
| |
| #include "endian.h" |
| #include "mydefs.h" |
| #include <dla.h> |
| #include <math_private.h> |
| |
| #ifndef SECTION |
| # define SECTION |
| #endif |
| |
| /********************************************************************/ |
| /* Compute arcsin(x,dx,v) of double-length number (x+dx) the result */ |
| /* stored in v where v= v[0]+v[1] =arcsin(x+dx) */ |
| /********************************************************************/ |
| void |
| SECTION |
| __doasin(double x, double dx, double v[]) { |
| |
| #include "doasin.h" |
| |
| static const double |
| d5 = 0.22372159090911789889975459505194491E-01, |
| d6 = 0.17352764422456822913014975683014622E-01, |
| d7 = 0.13964843843786693521653681033981614E-01, |
| d8 = 0.11551791438485242609036067259086589E-01, |
| d9 = 0.97622386568166960207425666787248914E-02, |
| d10 = 0.83638737193775788576092749009744976E-02, |
| d11 = 0.79470250400727425881446981833568758E-02; |
| |
| double xx,p,pp,u,uu,r,s; |
| double tc,tcc; |
| #ifndef DLA_FMS |
| double hx,tx,hy,ty,tp,tq; |
| #endif |
| |
| |
| /* Taylor series for arcsin for Double-Length numbers */ |
| xx = x*x+2.0*x*dx; |
| p = ((((((d11*xx+d10)*xx+d9)*xx+d8)*xx+d7)*xx+d6)*xx+d5)*xx; |
| pp = 0; |
| |
| MUL2(x,dx,x,dx,u,uu,tp,hx,tx,hy,ty,tq,tc,tcc); |
| ADD2(p,pp,c4.x,cc4.x,p,pp,r,s); |
| MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc); |
| ADD2(p,pp,c3.x,cc3.x,p,pp,r,s); |
| MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc); |
| ADD2(p,pp,c2.x,cc2.x,p,pp,r,s); |
| MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc); |
| ADD2(p,pp,c1.x,cc1.x,p,pp,r,s); |
| MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc); |
| MUL2(p,pp,x,dx,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc); |
| ADD2(p,pp,x,dx,p,pp,r,s); |
| v[0]=p; |
| v[1]=pp; /* arcsin(x+dx)=v[0]+v[1] */ |
| } |