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8303799: [BACKOUT] JDK-8302801 Remove fdlibm C sources
Reviewed-by: darcy, bpb
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David Holmes
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Mar 8, 2023
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| Original file line number | Diff line number | Diff line change |
|---|---|---|
| @@ -0,0 +1,117 @@ | ||
| /* | ||
| * Copyright (c) 1998, 2001, Oracle and/or its affiliates. All rights reserved. | ||
| * DO NOT ALTER OR REMOVE COPYRIGHT NOTICES OR THIS FILE HEADER. | ||
| * | ||
| * This code is free software; you can redistribute it and/or modify it | ||
| * under the terms of the GNU General Public License version 2 only, as | ||
| * published by the Free Software Foundation. Oracle designates this | ||
| * particular file as subject to the "Classpath" exception as provided | ||
| * by Oracle in the LICENSE file that accompanied this code. | ||
| * | ||
| * This code 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 | ||
| * version 2 for more details (a copy is included in the LICENSE file that | ||
| * accompanied this code). | ||
| * | ||
| * You should have received a copy of the GNU General Public License version | ||
| * 2 along with this work; if not, write to the Free Software Foundation, | ||
| * Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA. | ||
| * | ||
| * Please contact Oracle, 500 Oracle Parkway, Redwood Shores, CA 94065 USA | ||
| * or visit www.oracle.com if you need additional information or have any | ||
| * questions. | ||
| */ | ||
|
|
||
| /* __ieee754_acos(x) | ||
| * Method : | ||
| * acos(x) = pi/2 - asin(x) | ||
| * acos(-x) = pi/2 + asin(x) | ||
| * For |x|<=0.5 | ||
| * acos(x) = pi/2 - (x + x*x^2*R(x^2)) (see asin.c) | ||
| * For x>0.5 | ||
| * acos(x) = pi/2 - (pi/2 - 2asin(sqrt((1-x)/2))) | ||
| * = 2asin(sqrt((1-x)/2)) | ||
| * = 2s + 2s*z*R(z) ...z=(1-x)/2, s=sqrt(z) | ||
| * = 2f + (2c + 2s*z*R(z)) | ||
| * where f=hi part of s, and c = (z-f*f)/(s+f) is the correction term | ||
| * for f so that f+c ~ sqrt(z). | ||
| * For x<-0.5 | ||
| * acos(x) = pi - 2asin(sqrt((1-|x|)/2)) | ||
| * = pi - 0.5*(s+s*z*R(z)), where z=(1-|x|)/2,s=sqrt(z) | ||
| * | ||
| * Special cases: | ||
| * if x is NaN, return x itself; | ||
| * if |x|>1, return NaN with invalid signal. | ||
| * | ||
| * Function needed: sqrt | ||
| */ | ||
|
|
||
| #include "fdlibm.h" | ||
|
|
||
| #ifdef __STDC__ | ||
| static const double | ||
| #else | ||
| static double | ||
| #endif | ||
| one= 1.00000000000000000000e+00, /* 0x3FF00000, 0x00000000 */ | ||
| pi = 3.14159265358979311600e+00, /* 0x400921FB, 0x54442D18 */ | ||
| pio2_hi = 1.57079632679489655800e+00, /* 0x3FF921FB, 0x54442D18 */ | ||
| pio2_lo = 6.12323399573676603587e-17, /* 0x3C91A626, 0x33145C07 */ | ||
| pS0 = 1.66666666666666657415e-01, /* 0x3FC55555, 0x55555555 */ | ||
| pS1 = -3.25565818622400915405e-01, /* 0xBFD4D612, 0x03EB6F7D */ | ||
| pS2 = 2.01212532134862925881e-01, /* 0x3FC9C155, 0x0E884455 */ | ||
| pS3 = -4.00555345006794114027e-02, /* 0xBFA48228, 0xB5688F3B */ | ||
| pS4 = 7.91534994289814532176e-04, /* 0x3F49EFE0, 0x7501B288 */ | ||
| pS5 = 3.47933107596021167570e-05, /* 0x3F023DE1, 0x0DFDF709 */ | ||
| qS1 = -2.40339491173441421878e+00, /* 0xC0033A27, 0x1C8A2D4B */ | ||
| qS2 = 2.02094576023350569471e+00, /* 0x40002AE5, 0x9C598AC8 */ | ||
| qS3 = -6.88283971605453293030e-01, /* 0xBFE6066C, 0x1B8D0159 */ | ||
| qS4 = 7.70381505559019352791e-02; /* 0x3FB3B8C5, 0xB12E9282 */ | ||
|
|
||
| #ifdef __STDC__ | ||
| double __ieee754_acos(double x) | ||
| #else | ||
| double __ieee754_acos(x) | ||
| double x; | ||
| #endif | ||
| { | ||
| double z,p,q,r,w,s,c,df; | ||
| int hx,ix; | ||
| hx = __HI(x); | ||
| ix = hx&0x7fffffff; | ||
| if(ix>=0x3ff00000) { /* |x| >= 1 */ | ||
| if(((ix-0x3ff00000)|__LO(x))==0) { /* |x|==1 */ | ||
| if(hx>0) return 0.0; /* acos(1) = 0 */ | ||
| else return pi+2.0*pio2_lo; /* acos(-1)= pi */ | ||
| } | ||
| return (x-x)/(x-x); /* acos(|x|>1) is NaN */ | ||
| } | ||
| if(ix<0x3fe00000) { /* |x| < 0.5 */ | ||
| if(ix<=0x3c600000) return pio2_hi+pio2_lo;/*if|x|<2**-57*/ | ||
| z = x*x; | ||
| p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5))))); | ||
| q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4))); | ||
| r = p/q; | ||
| return pio2_hi - (x - (pio2_lo-x*r)); | ||
| } else if (hx<0) { /* x < -0.5 */ | ||
| z = (one+x)*0.5; | ||
| p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5))))); | ||
| q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4))); | ||
| s = sqrt(z); | ||
| r = p/q; | ||
| w = r*s-pio2_lo; | ||
| return pi - 2.0*(s+w); | ||
| } else { /* x > 0.5 */ | ||
| z = (one-x)*0.5; | ||
| s = sqrt(z); | ||
| df = s; | ||
| __LO(df) = 0; | ||
| c = (z-df*df)/(s+df); | ||
| p = z*(pS0+z*(pS1+z*(pS2+z*(pS3+z*(pS4+z*pS5))))); | ||
| q = one+z*(qS1+z*(qS2+z*(qS3+z*qS4))); | ||
| r = p/q; | ||
| w = r*s+c; | ||
| return 2.0*(df+w); | ||
| } | ||
| } |
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