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Diffstat (limited to 'sysdeps/ieee754/dbl-64/e_asin.c')
| -rw-r--r-- | sysdeps/ieee754/dbl-64/e_asin.c | 647 |
1 files changed, 0 insertions, 647 deletions
diff --git a/sysdeps/ieee754/dbl-64/e_asin.c b/sysdeps/ieee754/dbl-64/e_asin.c deleted file mode 100644 index 9808f3981c..0000000000 --- a/sysdeps/ieee754/dbl-64/e_asin.c +++ /dev/null @@ -1,647 +0,0 @@ -/* - * IBM Accurate Mathematical Library - * written by International Business Machines Corp. - * Copyright (C) 2001-2017 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:uasncs.c */ -/* */ -/* FUNCTIONS: uasin */ -/* uacos */ -/* FILES NEEDED: dla.h endian.h mpa.h mydefs.h usncs.h */ -/* doasin.c sincos32.c dosincos.c mpa.c */ -/* sincos.tbl asincos.tbl powtwo.tbl root.tbl */ -/* */ -/* Ultimate asin/acos routines. Given an IEEE double machine */ -/* number x, compute the correctly rounded value of */ -/* arcsin(x)or arccos(x) according to the function called. */ -/* Assumption: Machine arithmetic operations are performed in */ -/* round to nearest mode of IEEE 754 standard. */ -/* */ -/******************************************************************/ -#include "endian.h" -#include "mydefs.h" -#include "asincos.tbl" -#include "root.tbl" -#include "powtwo.tbl" -#include "MathLib.h" -#include "uasncs.h" -#include <float.h> -#include <math.h> -#include <math_private.h> - -#ifndef SECTION -# define SECTION -#endif - -void __doasin(double x, double dx, double w[]); -void __dubsin(double x, double dx, double v[]); -void __dubcos(double x, double dx, double v[]); -void __docos(double x, double dx, double v[]); -double __sin32(double x, double res, double res1); -double __cos32(double x, double res, double res1); - -/***************************************************************************/ -/* An ultimate asin routine. Given an IEEE double machine number x */ -/* it computes the correctly rounded (to nearest) value of arcsin(x) */ -/***************************************************************************/ -double -SECTION -__ieee754_asin(double x){ - double x1,x2,xx,s1,s2,res1,p,t,res,r,cor,cc,y,c,z,w[2]; - mynumber u,v; - int4 k,m,n; - - u.x = x; - m = u.i[HIGH_HALF]; - k = 0x7fffffff&m; /* no sign */ - - if (k < 0x3e500000) - { - math_check_force_underflow (x); - return x; /* for x->0 => sin(x)=x */ - } - /*----------------------2^-26 <= |x| < 2^ -3 -----------------*/ - else - if (k < 0x3fc00000) { - x2 = x*x; - t = (((((f6*x2 + f5)*x2 + f4)*x2 + f3)*x2 + f2)*x2 + f1)*(x2*x); - res = x+t; /* res=arcsin(x) according to Taylor series */ - cor = (x-res)+t; - if (res == res+1.025*cor) return res; - else { - x1 = x+big; - xx = x*x; - x1 -= big; - x2 = x - x1; - p = x1*x1*x1; - s1 = a1.x*p; - s2 = ((((((c7*xx + c6)*xx + c5)*xx + c4)*xx + c3)*xx + c2)*xx*xx*x + - ((a1.x+a2.x)*x2*x2+ 0.5*x1*x)*x2) + a2.x*p; - res1 = x+s1; - s2 = ((x-res1)+s1)+s2; - res = res1+s2; - cor = (res1-res)+s2; - if (res == res+1.00014*cor) return res; - else { - __doasin(x,0,w); - if (w[0]==(w[0]+1.00000001*w[1])) return w[0]; - else { - y=fabs(x); - res=fabs(w[0]); - res1=fabs(w[0]+1.1*w[1]); - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); - } - } - } - } - /*---------------------0.125 <= |x| < 0.5 -----------------------------*/ - else if (k < 0x3fe00000) { - if (k<0x3fd00000) n = 11*((k&0x000fffff)>>15); - else n = 11*((k&0x000fffff)>>14)+352; - if (m>0) xx = x - asncs.x[n]; - else xx = -x - asncs.x[n]; - t = asncs.x[n+1]*xx; - p=xx*xx*(asncs.x[n+2]+xx*(asncs.x[n+3]+xx*(asncs.x[n+4]+xx*(asncs.x[n+5] - +xx*asncs.x[n+6]))))+asncs.x[n+7]; - t+=p; - res =asncs.x[n+8] +t; - cor = (asncs.x[n+8]-res)+t; - if (res == res+1.05*cor) return (m>0)?res:-res; - else { - r=asncs.x[n+8]+xx*asncs.x[n+9]; - t=((asncs.x[n+8]-r)+xx*asncs.x[n+9])+(p+xx*asncs.x[n+10]); - res = r+t; - cor = (r-res)+t; - if (res == res+1.0005*cor) return (m>0)?res:-res; - else { - res1=res+1.1*cor; - z=0.5*(res1-res); - __dubsin(res,z,w); - z=(w[0]-fabs(x))+w[1]; - if (z>1.0e-27) return (m>0)?min(res,res1):-min(res,res1); - else if (z<-1.0e-27) return (m>0)?max(res,res1):-max(res,res1); - else { - y=fabs(x); - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); - } - } - } - } /* else if (k < 0x3fe00000) */ - /*-------------------- 0.5 <= |x| < 0.75 -----------------------------*/ - else - if (k < 0x3fe80000) { - n = 1056+((k&0x000fe000)>>11)*3; - if (m>0) xx = x - asncs.x[n]; - else xx = -x - asncs.x[n]; - t = asncs.x[n+1]*xx; - p=xx*xx*(asncs.x[n+2]+xx*(asncs.x[n+3]+xx*(asncs.x[n+4]+xx*(asncs.x[n+5] - +xx*(asncs.x[n+6]+xx*asncs.x[n+7])))))+asncs.x[n+8]; - t+=p; - res =asncs.x[n+9] +t; - cor = (asncs.x[n+9]-res)+t; - if (res == res+1.01*cor) return (m>0)?res:-res; - else { - r=asncs.x[n+9]+xx*asncs.x[n+10]; - t=((asncs.x[n+9]-r)+xx*asncs.x[n+10])+(p+xx*asncs.x[n+11]); - res = r+t; - cor = (r-res)+t; - if (res == res+1.0005*cor) return (m>0)?res:-res; - else { - res1=res+1.1*cor; - z=0.5*(res1-res); - __dubsin(res,z,w); - z=(w[0]-fabs(x))+w[1]; - if (z>1.0e-27) return (m>0)?min(res,res1):-min(res,res1); - else if (z<-1.0e-27) return (m>0)?max(res,res1):-max(res,res1); - else { - y=fabs(x); - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); - } - } - } - } /* else if (k < 0x3fe80000) */ - /*--------------------- 0.75 <= |x|< 0.921875 ----------------------*/ - else - if (k < 0x3fed8000) { - n = 992+((k&0x000fe000)>>13)*13; - if (m>0) xx = x - asncs.x[n]; - else xx = -x - asncs.x[n]; - t = asncs.x[n+1]*xx; - p=xx*xx*(asncs.x[n+2]+xx*(asncs.x[n+3]+xx*(asncs.x[n+4]+xx*(asncs.x[n+5] - +xx*(asncs.x[n+6]+xx*(asncs.x[n+7]+xx*asncs.x[n+8]))))))+asncs.x[n+9]; - t+=p; - res =asncs.x[n+10] +t; - cor = (asncs.x[n+10]-res)+t; - if (res == res+1.01*cor) return (m>0)?res:-res; - else { - r=asncs.x[n+10]+xx*asncs.x[n+11]; - t=((asncs.x[n+10]-r)+xx*asncs.x[n+11])+(p+xx*asncs.x[n+12]); - res = r+t; - cor = (r-res)+t; - if (res == res+1.0008*cor) return (m>0)?res:-res; - else { - res1=res+1.1*cor; - z=0.5*(res1-res); - y=hp0.x-res; - z=((hp0.x-y)-res)+(hp1.x-z); - __dubcos(y,z,w); - z=(w[0]-fabs(x))+w[1]; - if (z>1.0e-27) return (m>0)?min(res,res1):-min(res,res1); - else if (z<-1.0e-27) return (m>0)?max(res,res1):-max(res,res1); - else { - y=fabs(x); - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); - } - } - } - } /* else if (k < 0x3fed8000) */ - /*-------------------0.921875 <= |x| < 0.953125 ------------------------*/ - else - if (k < 0x3fee8000) { - n = 884+((k&0x000fe000)>>13)*14; - if (m>0) xx = x - asncs.x[n]; - else xx = -x - asncs.x[n]; - t = asncs.x[n+1]*xx; - p=xx*xx*(asncs.x[n+2]+xx*(asncs.x[n+3]+xx*(asncs.x[n+4]+ - xx*(asncs.x[n+5]+xx*(asncs.x[n+6] - +xx*(asncs.x[n+7]+xx*(asncs.x[n+8]+ - xx*asncs.x[n+9])))))))+asncs.x[n+10]; - t+=p; - res =asncs.x[n+11] +t; - cor = (asncs.x[n+11]-res)+t; - if (res == res+1.01*cor) return (m>0)?res:-res; - else { - r=asncs.x[n+11]+xx*asncs.x[n+12]; - t=((asncs.x[n+11]-r)+xx*asncs.x[n+12])+(p+xx*asncs.x[n+13]); - res = r+t; - cor = (r-res)+t; - if (res == res+1.0007*cor) return (m>0)?res:-res; - else { - res1=res+1.1*cor; - z=0.5*(res1-res); - y=(hp0.x-res)-z; - z=y+hp1.x; - y=(y-z)+hp1.x; - __dubcos(z,y,w); - z=(w[0]-fabs(x))+w[1]; - if (z>1.0e-27) return (m>0)?min(res,res1):-min(res,res1); - else if (z<-1.0e-27) return (m>0)?max(res,res1):-max(res,res1); - else { - y=fabs(x); - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); - } - } - } - } /* else if (k < 0x3fee8000) */ - - /*--------------------0.953125 <= |x| < 0.96875 ------------------------*/ - else - if (k < 0x3fef0000) { - n = 768+((k&0x000fe000)>>13)*15; - if (m>0) xx = x - asncs.x[n]; - else xx = -x - asncs.x[n]; - t = asncs.x[n+1]*xx; - p=xx*xx*(asncs.x[n+2]+xx*(asncs.x[n+3]+xx*(asncs.x[n+4]+ - xx*(asncs.x[n+5]+xx*(asncs.x[n+6] - +xx*(asncs.x[n+7]+xx*(asncs.x[n+8]+ - xx*(asncs.x[n+9]+xx*asncs.x[n+10]))))))))+asncs.x[n+11]; - t+=p; - res =asncs.x[n+12] +t; - cor = (asncs.x[n+12]-res)+t; - if (res == res+1.01*cor) return (m>0)?res:-res; - else { - r=asncs.x[n+12]+xx*asncs.x[n+13]; - t=((asncs.x[n+12]-r)+xx*asncs.x[n+13])+(p+xx*asncs.x[n+14]); - res = r+t; - cor = (r-res)+t; - if (res == res+1.0007*cor) return (m>0)?res:-res; - else { - res1=res+1.1*cor; - z=0.5*(res1-res); - y=(hp0.x-res)-z; - z=y+hp1.x; - y=(y-z)+hp1.x; - __dubcos(z,y,w); - z=(w[0]-fabs(x))+w[1]; - if (z>1.0e-27) return (m>0)?min(res,res1):-min(res,res1); - else if (z<-1.0e-27) return (m>0)?max(res,res1):-max(res,res1); - else { - y=fabs(x); - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); - } - } - } - } /* else if (k < 0x3fef0000) */ - /*--------------------0.96875 <= |x| < 1 --------------------------------*/ - else - if (k<0x3ff00000) { - z = 0.5*((m>0)?(1.0-x):(1.0+x)); - v.x=z; - k=v.i[HIGH_HALF]; - t=inroot[(k&0x001fffff)>>14]*powtwo[511-(k>>21)]; - r=1.0-t*t*z; - t = t*(rt0+r*(rt1+r*(rt2+r*rt3))); - c=t*z; - t=c*(1.5-0.5*t*c); - y=(c+t24)-t24; - cc = (z-y*y)/(t+y); - p=(((((f6*z+f5)*z+f4)*z+f3)*z+f2)*z+f1)*z; - cor = (hp1.x - 2.0*cc)-2.0*(y+cc)*p; - res1 = hp0.x - 2.0*y; - res =res1 + cor; - if (res == res+1.003*((res1-res)+cor)) return (m>0)?res:-res; - else { - c=y+cc; - cc=(y-c)+cc; - __doasin(c,cc,w); - res1=hp0.x-2.0*w[0]; - cor=((hp0.x-res1)-2.0*w[0])+(hp1.x-2.0*w[1]); - res = res1+cor; - cor = (res1-res)+cor; - if (res==(res+1.0000001*cor)) return (m>0)?res:-res; - else { - y=fabs(x); - res1=res+1.1*cor; - return (m>0)?__sin32(y,res,res1):-__sin32(y,res,res1); - } - } - } /* else if (k < 0x3ff00000) */ - /*---------------------------- |x|>=1 -------------------------------*/ - else if (k==0x3ff00000 && u.i[LOW_HALF]==0) return (m>0)?hp0.x:-hp0.x; - else - if (k>0x7ff00000 || (k == 0x7ff00000 && u.i[LOW_HALF] != 0)) return x + x; - else { - u.i[HIGH_HALF]=0x7ff00000; - v.i[HIGH_HALF]=0x7ff00000; - u.i[LOW_HALF]=0; - v.i[LOW_HALF]=0; - return u.x/v.x; /* NaN */ - } -} -#ifndef __ieee754_asin -strong_alias (__ieee754_asin, __asin_finite) -#endif - -/*******************************************************************/ -/* */ -/* End of arcsine, below is arccosine */ -/* */ -/*******************************************************************/ - -double -SECTION -__ieee754_acos(double x) -{ - double x1,x2,xx,s1,s2,res1,p,t,res,r,cor,cc,y,c,z,w[2],eps; - mynumber u,v; - int4 k,m,n; - u.x = x; - m = u.i[HIGH_HALF]; - k = 0x7fffffff&m; - /*------------------- |x|<2.77556*10^-17 ----------------------*/ - if (k < 0x3c880000) return hp0.x; - - /*----------------- 2.77556*10^-17 <= |x| < 2^-3 --------------*/ - else - if (k < 0x3fc00000) { - x2 = x*x; - t = (((((f6*x2 + f5)*x2 + f4)*x2 + f3)*x2 + f2)*x2 + f1)*(x2*x); - r=hp0.x-x; - cor=(((hp0.x-r)-x)+hp1.x)-t; - res = r+cor; - cor = (r-res)+cor; - if (res == res+1.004*cor) return res; - else { - x1 = x+big; - xx = x*x; - x1 -= big; - x2 = x - x1; - p = x1*x1*x1; - s1 = a1.x*p; - s2 = ((((((c7*xx + c6)*xx + c5)*xx + c4)*xx + c3)*xx + c2)*xx*xx*x + - ((a1.x+a2.x)*x2*x2+ 0.5*x1*x)*x2) + a2.x*p; - res1 = x+s1; - s2 = ((x-res1)+s1)+s2; - r=hp0.x-res1; - cor=(((hp0.x-r)-res1)+hp1.x)-s2; - res = r+cor; - cor = (r-res)+cor; - if (res == res+1.00004*cor) return res; - else { - __doasin(x,0,w); - r=hp0.x-w[0]; - cor=((hp0.x-r)-w[0])+(hp1.x-w[1]); - res=r+cor; - cor=(r-res)+cor; - if (res ==(res +1.00000001*cor)) return res; - else { - res1=res+1.1*cor; - return __cos32(x,res,res1); - } - } - } - } /* else if (k < 0x3fc00000) */ - /*---------------------- 0.125 <= |x| < 0.5 --------------------*/ - else - if (k < 0x3fe00000) { - if (k<0x3fd00000) n = 11*((k&0x000fffff)>>15); - else n = 11*((k&0x000fffff)>>14)+352; - if (m>0) xx = x - asncs.x[n]; - else xx = -x - asncs.x[n]; - t = asncs.x[n+1]*xx; - p=xx*xx*(asncs.x[n+2]+xx*(asncs.x[n+3]+xx*(asncs.x[n+4]+ - xx*(asncs.x[n+5]+xx*asncs.x[n+6]))))+asncs.x[n+7]; - t+=p; - y = (m>0)?(hp0.x-asncs.x[n+8]):(hp0.x+asncs.x[n+8]); - t = (m>0)?(hp1.x-t):(hp1.x+t); - res = y+t; - if (res == res+1.02*((y-res)+t)) return res; - else { - r=asncs.x[n+8]+xx*asncs.x[n+9]; - t=((asncs.x[n+8]-r)+xx*asncs.x[n+9])+(p+xx*asncs.x[n+10]); - if (m>0) - {p = hp0.x-r; t = (((hp0.x-p)-r)-t)+hp1.x; } - else - {p = hp0.x+r; t = ((hp0.x-p)+r)+(hp1.x+t); } - res = p+t; - cor = (p-res)+t; - if (res == (res+1.0002*cor)) return res; - else { - res1=res+1.1*cor; - z=0.5*(res1-res); - __docos(res,z,w); - z=(w[0]-x)+w[1]; - if (z>1.0e-27) return max(res,res1); - else if (z<-1.0e-27) return min(res,res1); - else return __cos32(x,res,res1); - } - } - } /* else if (k < 0x3fe00000) */ - - /*--------------------------- 0.5 <= |x| < 0.75 ---------------------*/ - else - if (k < 0x3fe80000) { - n = 1056+((k&0x000fe000)>>11)*3; - if (m>0) {xx = x - asncs.x[n]; eps=1.04; } - else {xx = -x - asncs.x[n]; eps=1.02; } - t = asncs.x[n+1]*xx; - p=xx*xx*(asncs.x[n+2]+xx*(asncs.x[n+3]+xx*(asncs.x[n+4]+ - xx*(asncs.x[n+5]+xx*(asncs.x[n+6]+ - xx*asncs.x[n+7])))))+asncs.x[n+8]; - t+=p; - y = (m>0)?(hp0.x-asncs.x[n+9]):(hp0.x+asncs.x[n+9]); - t = (m>0)?(hp1.x-t):(hp1.x+t); - res = y+t; - if (res == res+eps*((y-res)+t)) return res; - else { - r=asncs.x[n+9]+xx*asncs.x[n+10]; - t=((asncs.x[n+9]-r)+xx*asncs.x[n+10])+(p+xx*asncs.x[n+11]); - if (m>0) {p = hp0.x-r; t = (((hp0.x-p)-r)-t)+hp1.x; eps=1.0004; } - else {p = hp0.x+r; t = ((hp0.x-p)+r)+(hp1.x+t); eps=1.0002; } - res = p+t; - cor = (p-res)+t; - if (res == (res+eps*cor)) return res; - else { - res1=res+1.1*cor; - z=0.5*(res1-res); - __docos(res,z,w); - z=(w[0]-x)+w[1]; - if (z>1.0e-27) return max(res,res1); - else if (z<-1.0e-27) return min(res,res1); - else return __cos32(x,res,res1); - } - } - } /* else if (k < 0x3fe80000) */ - -/*------------------------- 0.75 <= |x| < 0.921875 -------------*/ - else - if (k < 0x3fed8000) { - n = 992+((k&0x000fe000)>>13)*13; - if (m>0) {xx = x - asncs.x[n]; eps = 1.04; } - else {xx = -x - asncs.x[n]; eps = 1.01; } - t = asncs.x[n+1]*xx; - p=xx*xx*(asncs.x[n+2]+xx*(asncs.x[n+3]+xx*(asncs.x[n+4]+ - xx*(asncs.x[n+5]+xx*(asncs.x[n+6]+xx*(asncs.x[n+7]+ - xx*asncs.x[n+8]))))))+asncs.x[n+9]; - t+=p; - y = (m>0)?(hp0.x-asncs.x[n+10]):(hp0.x+asncs.x[n+10]); - t = (m>0)?(hp1.x-t):(hp1.x+t); - res = y+t; - if (res == res+eps*((y-res)+t)) return res; - else { - r=asncs.x[n+10]+xx*asncs.x[n+11]; - t=((asncs.x[n+10]-r)+xx*asncs.x[n+11])+(p+xx*asncs.x[n+12]); - if (m>0) {p = hp0.x-r; t = (((hp0.x-p)-r)-t)+hp1.x; eps=1.0032; } - else {p = hp0.x+r; t = ((hp0.x-p)+r)+(hp1.x+t); eps=1.0008; } - res = p+t; - cor = (p-res)+t; - if (res == (res+eps*cor)) return res; - else { - res1=res+1.1*cor; - z=0.5*(res1-res); - __docos(res,z,w); - z=(w[0]-x)+w[1]; - if (z>1.0e-27) return max(res,res1); - else if (z<-1.0e-27) return min(res,res1); - else return __cos32(x,res,res1); - } - } - } /* else if (k < 0x3fed8000) */ - -/*-------------------0.921875 <= |x| < 0.953125 ------------------*/ - else - if (k < 0x3fee8000) { - n = 884+((k&0x000fe000)>>13)*14; - if (m>0) {xx = x - asncs.x[n]; eps=1.04; } - else {xx = -x - asncs.x[n]; eps =1.005; } - t = asncs.x[n+1]*xx; - p=xx*xx*(asncs.x[n+2]+xx*(asncs.x[n+3]+xx*(asncs.x[n+4]+ - xx*(asncs.x[n+5]+xx*(asncs.x[n+6] - +xx*(asncs.x[n+7]+xx*(asncs.x[n+8]+ - xx*asncs.x[n+9])))))))+asncs.x[n+10]; - t+=p; - y = (m>0)?(hp0.x-asncs.x[n+11]):(hp0.x+asncs.x[n+11]); - t = (m>0)?(hp1.x-t):(hp1.x+t); - res = y+t; - if (res == res+eps*((y-res)+t)) return res; - else { - r=asncs.x[n+11]+xx*asncs.x[n+12]; - t=((asncs.x[n+11]-r)+xx*asncs.x[n+12])+(p+xx*asncs.x[n+13]); - if (m>0) {p = hp0.x-r; t = (((hp0.x-p)-r)-t)+hp1.x; eps=1.0030; } - else {p = hp0.x+r; t = ((hp0.x-p)+r)+(hp1.x+t); eps=1.0005; } - res = p+t; - cor = (p-res)+t; - if (res == (res+eps*cor)) return res; - else { - res1=res+1.1*cor; - z=0.5*(res1-res); - __docos(res,z,w); - z=(w[0]-x)+w[1]; - if (z>1.0e-27) return max(res,res1); - else if (z<-1.0e-27) return min(res,res1); - else return __cos32(x,res,res1); - } - } - } /* else if (k < 0x3fee8000) */ - - /*--------------------0.953125 <= |x| < 0.96875 ----------------*/ - else - if (k < 0x3fef0000) { - n = 768+((k&0x000fe000)>>13)*15; - if (m>0) {xx = x - asncs.x[n]; eps=1.04; } - else {xx = -x - asncs.x[n]; eps=1.005;} - t = asncs.x[n+1]*xx; - p=xx*xx*(asncs.x[n+2]+xx*(asncs.x[n+3]+xx*(asncs.x[n+4]+ - xx*(asncs.x[n+5]+xx*(asncs.x[n+6] - +xx*(asncs.x[n+7]+xx*(asncs.x[n+8]+xx*(asncs.x[n+9]+ - xx*asncs.x[n+10]))))))))+asncs.x[n+11]; - t+=p; - y = (m>0)?(hp0.x-asncs.x[n+12]):(hp0.x+asncs.x[n+12]); - t = (m>0)?(hp1.x-t):(hp1.x+t); - res = y+t; - if (res == res+eps*((y-res)+t)) return res; - else { - r=asncs.x[n+12]+xx*asncs.x[n+13]; - t=((asncs.x[n+12]-r)+xx*asncs.x[n+13])+(p+xx*asncs.x[n+14]); - if (m>0) {p = hp0.x-r; t = (((hp0.x-p)-r)-t)+hp1.x; eps=1.0030; } - else {p = hp0.x+r; t = ((hp0.x-p)+r)+(hp1.x+t); eps=1.0005; } - res = p+t; - cor = (p-res)+t; - if (res == (res+eps*cor)) return res; - else { - res1=res+1.1*cor; - z=0.5*(res1-res); - __docos(res,z,w); - z=(w[0]-x)+w[1]; - if (z>1.0e-27) return max(res,res1); - else if (z<-1.0e-27) return min(res,res1); - else return __cos32(x,res,res1); - } - } - } /* else if (k < 0x3fef0000) */ - /*-----------------0.96875 <= |x| < 1 ---------------------------*/ - - else - if (k<0x3ff00000) { - z = 0.5*((m>0)?(1.0-x):(1.0+x)); - v.x=z; - k=v.i[HIGH_HALF]; - t=inroot[(k&0x001fffff)>>14]*powtwo[511-(k>>21)]; - r=1.0-t*t*z; - t = t*(rt0+r*(rt1+r*(rt2+r*rt3))); - c=t*z; - t=c*(1.5-0.5*t*c); - y = (t27*c+c)-t27*c; - cc = (z-y*y)/(t+y); - p=(((((f6*z+f5)*z+f4)*z+f3)*z+f2)*z+f1)*z; - if (m<0) { - cor = (hp1.x - cc)-(y+cc)*p; - res1 = hp0.x - y; - res =res1 + cor; - if (res == res+1.002*((res1-res)+cor)) return (res+res); - else { - c=y+cc; - cc=(y-c)+cc; - __doasin(c,cc,w); - res1=hp0.x-w[0]; - cor=((hp0.x-res1)-w[0])+(hp1.x-w[1]); - res = res1+cor; - cor = (res1-res)+cor; - if (res==(res+1.000001*cor)) return (res+res); - else { - res=res+res; - res1=res+1.2*cor; - return __cos32(x,res,res1); - } - } - } - else { - cor = cc+p*(y+cc); - res = y + cor; - if (res == res+1.03*((y-res)+cor)) return (res+res); - else { - c=y+cc; - cc=(y-c)+cc; - __doasin(c,cc,w); - res = w[0]; - cor=w[1]; - if (res==(res+1.000001*cor)) return (res+res); - else { - res=res+res; - res1=res+1.2*cor; - return __cos32(x,res,res1); - } - } - } - } /* else if (k < 0x3ff00000) */ - - /*---------------------------- |x|>=1 -----------------------*/ - else - if (k==0x3ff00000 && u.i[LOW_HALF]==0) return (m>0)?0:2.0*hp0.x; - else - if (k>0x7ff00000 || (k == 0x7ff00000 && u.i[LOW_HALF] != 0)) return x + x; - else { - u.i[HIGH_HALF]=0x7ff00000; - v.i[HIGH_HALF]=0x7ff00000; - u.i[LOW_HALF]=0; - v.i[LOW_HALF]=0; - return u.x/v.x; - } -} -#ifndef __ieee754_acos -strong_alias (__ieee754_acos, __acos_finite) -#endif |