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e4d82761 UD |
1 | /* |
2 | * IBM Accurate Mathematical Library | |
aeb25823 | 3 | * written by International Business Machines Corp. |
d614a753 | 4 | * Copyright (C) 2001-2020 Free Software Foundation, Inc. |
e4d82761 UD |
5 | * |
6 | * This program is free software; you can redistribute it and/or modify | |
7 | * it under the terms of the GNU Lesser General Public License as published by | |
cc7375ce | 8 | * the Free Software Foundation; either version 2.1 of the License, or |
e4d82761 | 9 | * (at your option) any later version. |
ca58f1db | 10 | * |
e4d82761 UD |
11 | * This program is distributed in the hope that it will be useful, |
12 | * but WITHOUT ANY WARRANTY; without even the implied warranty of | |
13 | * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | |
c6c6dd48 | 14 | * GNU Lesser General Public License for more details. |
e4d82761 UD |
15 | * |
16 | * You should have received a copy of the GNU Lesser General Public License | |
5a82c748 | 17 | * along with this program; if not, see <https://www.gnu.org/licenses/>. |
e4d82761 UD |
18 | */ |
19 | /**********************************************************************/ | |
20 | /* MODULE_NAME: doasin.c */ | |
21 | /* */ | |
ca58f1db | 22 | /* FUNCTION: doasin */ |
e4d82761 UD |
23 | /* */ |
24 | /* FILES NEEDED:endian.h mydefs.h dla.h doasin.h */ | |
25 | /* mpa.c */ | |
26 | /* */ | |
27 | /* Compute arcsin(x,dx,v) of double-length number (x+dx) the result */ | |
28 | /* stored in v where v= v[0]+v[1] =arcsin(x+dx) */ | |
29 | /**********************************************************************/ | |
30 | ||
31 | #include "endian.h" | |
32 | #include "mydefs.h" | |
c8b3296b | 33 | #include <dla.h> |
1ed0291c | 34 | #include <math_private.h> |
e4d82761 | 35 | |
31d3cc00 UD |
36 | #ifndef SECTION |
37 | # define SECTION | |
38 | #endif | |
39 | ||
e4d82761 UD |
40 | /********************************************************************/ |
41 | /* Compute arcsin(x,dx,v) of double-length number (x+dx) the result */ | |
42 | /* stored in v where v= v[0]+v[1] =arcsin(x+dx) */ | |
43 | /********************************************************************/ | |
31d3cc00 UD |
44 | void |
45 | SECTION | |
46 | __doasin(double x, double dx, double v[]) { | |
ca58f1db | 47 | |
e4d82761 UD |
48 | #include "doasin.h" |
49 | ||
ca58f1db | 50 | static const double |
e4d82761 UD |
51 | d5 = 0.22372159090911789889975459505194491E-01, |
52 | d6 = 0.17352764422456822913014975683014622E-01, | |
53 | d7 = 0.13964843843786693521653681033981614E-01, | |
54 | d8 = 0.11551791438485242609036067259086589E-01, | |
55 | d9 = 0.97622386568166960207425666787248914E-02, | |
56 | d10 = 0.83638737193775788576092749009744976E-02, | |
57 | d11 = 0.79470250400727425881446981833568758E-02; | |
ca58f1db | 58 | |
e4d82761 | 59 | double xx,p,pp,u,uu,r,s; |
a1a87169 | 60 | double tc,tcc; |
58985aa9 | 61 | #ifndef DLA_FMS |
a1a87169 UD |
62 | double hx,tx,hy,ty,tp,tq; |
63 | #endif | |
ca58f1db | 64 | |
e4d82761 UD |
65 | |
66 | /* Taylor series for arcsin for Double-Length numbers */ | |
67 | xx = x*x+2.0*x*dx; | |
68 | p = ((((((d11*xx+d10)*xx+d9)*xx+d8)*xx+d7)*xx+d6)*xx+d5)*xx; | |
69 | pp = 0; | |
70 | ||
71 | MUL2(x,dx,x,dx,u,uu,tp,hx,tx,hy,ty,tq,tc,tcc); | |
72 | ADD2(p,pp,c4.x,cc4.x,p,pp,r,s); | |
73 | MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc); | |
74 | ADD2(p,pp,c3.x,cc3.x,p,pp,r,s); | |
75 | MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc); | |
76 | ADD2(p,pp,c2.x,cc2.x,p,pp,r,s); | |
77 | MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc); | |
78 | ADD2(p,pp,c1.x,cc1.x,p,pp,r,s); | |
79 | MUL2(p,pp,u,uu,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc); | |
80 | MUL2(p,pp,x,dx,p,pp,tp,hx,tx,hy,ty,tq,tc,tcc); | |
81 | ADD2(p,pp,x,dx,p,pp,r,s); | |
82 | v[0]=p; | |
83 | v[1]=pp; /* arcsin(x+dx)=v[0]+v[1] */ | |
84 | } |