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+
+/*
+ * IBM Accurate Mathematical Library
+ * Copyright (c) International Business Machines Corp., 2001
+ *
+ * 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 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 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: 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"
+
+/********************************************************************/
+/* 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 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 hx,tx,hy,ty,tp,tq,tc,tcc;
+
+
+/* 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] */
+}
+
+
+
+
+
+