11dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project/* s_erff.c -- float version of s_erf.c. 21dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. 31dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project */ 41dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project 51dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project/* 61dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project * ==================================================== 71dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 81dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project * 91dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project * Developed at SunPro, a Sun Microsystems, Inc. business. 101dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project * Permission to use, copy, modify, and distribute this 111dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project * software is freely granted, provided that this notice 121dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project * is preserved. 131dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project * ==================================================== 141dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project */ 151dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project 161dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project#ifndef lint 171dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectstatic char rcsid[] = "$FreeBSD: src/lib/msun/src/s_erff.c,v 1.7 2002/05/28 18:15:04 alfred Exp $"; 181dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project#endif 191dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project 201dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project#include "math.h" 211dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project#include "math_private.h" 221dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project 231dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectstatic const float 241dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projecttiny = 1e-30, 251dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projecthalf= 5.0000000000e-01, /* 0x3F000000 */ 261dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectone = 1.0000000000e+00, /* 0x3F800000 */ 271dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projecttwo = 2.0000000000e+00, /* 0x40000000 */ 281dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project /* c = (subfloat)0.84506291151 */ 291dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projecterx = 8.4506291151e-01, /* 0x3f58560b */ 301dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project/* 311dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project * Coefficients for approximation to erf on [0,0.84375] 321dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project */ 331dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectefx = 1.2837916613e-01, /* 0x3e0375d4 */ 341dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectefx8= 1.0270333290e+00, /* 0x3f8375d4 */ 351dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectpp0 = 1.2837916613e-01, /* 0x3e0375d4 */ 361dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectpp1 = -3.2504209876e-01, /* 0xbea66beb */ 371dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectpp2 = -2.8481749818e-02, /* 0xbce9528f */ 381dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectpp3 = -5.7702702470e-03, /* 0xbbbd1489 */ 391dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectpp4 = -2.3763017452e-05, /* 0xb7c756b1 */ 401dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectqq1 = 3.9791721106e-01, /* 0x3ecbbbce */ 411dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectqq2 = 6.5022252500e-02, /* 0x3d852a63 */ 421dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectqq3 = 5.0813062117e-03, /* 0x3ba68116 */ 431dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectqq4 = 1.3249473704e-04, /* 0x390aee49 */ 441dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectqq5 = -3.9602282413e-06, /* 0xb684e21a */ 451dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project/* 461dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project * Coefficients for approximation to erf in [0.84375,1.25] 471dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project */ 481dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectpa0 = -2.3621185683e-03, /* 0xbb1acdc6 */ 491dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectpa1 = 4.1485610604e-01, /* 0x3ed46805 */ 501dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectpa2 = -3.7220788002e-01, /* 0xbebe9208 */ 511dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectpa3 = 3.1834661961e-01, /* 0x3ea2fe54 */ 521dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectpa4 = -1.1089469492e-01, /* 0xbde31cc2 */ 531dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectpa5 = 3.5478305072e-02, /* 0x3d1151b3 */ 541dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectpa6 = -2.1663755178e-03, /* 0xbb0df9c0 */ 551dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectqa1 = 1.0642088205e-01, /* 0x3dd9f331 */ 561dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectqa2 = 5.4039794207e-01, /* 0x3f0a5785 */ 571dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectqa3 = 7.1828655899e-02, /* 0x3d931ae7 */ 581dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectqa4 = 1.2617121637e-01, /* 0x3e013307 */ 591dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectqa5 = 1.3637083583e-02, /* 0x3c5f6e13 */ 601dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectqa6 = 1.1984500103e-02, /* 0x3c445aa3 */ 611dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project/* 621dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project * Coefficients for approximation to erfc in [1.25,1/0.35] 631dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project */ 641dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectra0 = -9.8649440333e-03, /* 0xbc21a093 */ 651dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectra1 = -6.9385856390e-01, /* 0xbf31a0b7 */ 661dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectra2 = -1.0558626175e+01, /* 0xc128f022 */ 671dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectra3 = -6.2375331879e+01, /* 0xc2798057 */ 681dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectra4 = -1.6239666748e+02, /* 0xc322658c */ 691dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectra5 = -1.8460508728e+02, /* 0xc3389ae7 */ 701dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectra6 = -8.1287437439e+01, /* 0xc2a2932b */ 711dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectra7 = -9.8143291473e+00, /* 0xc11d077e */ 721dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsa1 = 1.9651271820e+01, /* 0x419d35ce */ 731dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsa2 = 1.3765776062e+02, /* 0x4309a863 */ 741dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsa3 = 4.3456588745e+02, /* 0x43d9486f */ 751dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsa4 = 6.4538726807e+02, /* 0x442158c9 */ 761dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsa5 = 4.2900814819e+02, /* 0x43d6810b */ 771dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsa6 = 1.0863500214e+02, /* 0x42d9451f */ 781dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsa7 = 6.5702495575e+00, /* 0x40d23f7c */ 791dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsa8 = -6.0424413532e-02, /* 0xbd777f97 */ 801dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project/* 811dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project * Coefficients for approximation to erfc in [1/.35,28] 821dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project */ 831dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectrb0 = -9.8649431020e-03, /* 0xbc21a092 */ 841dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectrb1 = -7.9928326607e-01, /* 0xbf4c9dd4 */ 851dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectrb2 = -1.7757955551e+01, /* 0xc18e104b */ 861dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectrb3 = -1.6063638306e+02, /* 0xc320a2ea */ 871dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectrb4 = -6.3756646729e+02, /* 0xc41f6441 */ 881dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectrb5 = -1.0250950928e+03, /* 0xc480230b */ 891dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectrb6 = -4.8351919556e+02, /* 0xc3f1c275 */ 901dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsb1 = 3.0338060379e+01, /* 0x41f2b459 */ 911dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsb2 = 3.2579251099e+02, /* 0x43a2e571 */ 921dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsb3 = 1.5367296143e+03, /* 0x44c01759 */ 931dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsb4 = 3.1998581543e+03, /* 0x4547fdbb */ 941dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsb5 = 2.5530502930e+03, /* 0x451f90ce */ 951dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsb6 = 4.7452853394e+02, /* 0x43ed43a7 */ 961dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectsb7 = -2.2440952301e+01; /* 0xc1b38712 */ 971dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project 981dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectfloat 991dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projecterff(float x) 1001dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project{ 1011dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project int32_t hx,ix,i; 1021dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project float R,S,P,Q,s,y,z,r; 1031dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project GET_FLOAT_WORD(hx,x); 1041dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project ix = hx&0x7fffffff; 1051dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(ix>=0x7f800000) { /* erf(nan)=nan */ 1061dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project i = ((u_int32_t)hx>>31)<<1; 1071dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project return (float)(1-i)+one/x; /* erf(+-inf)=+-1 */ 1081dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } 1091dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project 1101dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(ix < 0x3f580000) { /* |x|<0.84375 */ 1111dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(ix < 0x31800000) { /* |x|<2**-28 */ 1121dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if (ix < 0x04000000) 1131dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project /*avoid underflow */ 1141dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project return (float)0.125*((float)8.0*x+efx8*x); 1151dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project return x + efx*x; 1161dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } 1171dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project z = x*x; 1181dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4))); 1191dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5)))); 1201dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project y = r/s; 1211dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project return x + x*y; 1221dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } 1231dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */ 1241dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project s = fabsf(x)-one; 1251dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6))))); 1261dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6))))); 1271dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(hx>=0) return erx + P/Q; else return -erx - P/Q; 1281dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } 1291dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if (ix >= 0x40c00000) { /* inf>|x|>=6 */ 1301dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(hx>=0) return one-tiny; else return tiny-one; 1311dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } 1321dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project x = fabsf(x); 1331dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project s = one/(x*x); 1341dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(ix< 0x4036DB6E) { /* |x| < 1/0.35 */ 1351dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*( 1361dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project ra5+s*(ra6+s*ra7)))))); 1371dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*( 1381dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project sa5+s*(sa6+s*(sa7+s*sa8))))))); 1391dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } else { /* |x| >= 1/0.35 */ 1401dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*( 1411dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project rb5+s*rb6))))); 1421dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*( 1431dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project sb5+s*(sb6+s*sb7)))))); 1441dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } 1451dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project GET_FLOAT_WORD(ix,x); 1461dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project SET_FLOAT_WORD(z,ix&0xfffff000); 1471dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project r = __ieee754_expf(-z*z-(float)0.5625)*__ieee754_expf((z-x)*(z+x)+R/S); 1481dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(hx>=0) return one-r/x; else return r/x-one; 1491dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project} 1501dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project 1511dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projectfloat 1521dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Projecterfcf(float x) 1531dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project{ 1541dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project int32_t hx,ix; 1551dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project float R,S,P,Q,s,y,z,r; 1561dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project GET_FLOAT_WORD(hx,x); 1571dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project ix = hx&0x7fffffff; 1581dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(ix>=0x7f800000) { /* erfc(nan)=nan */ 1591dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project /* erfc(+-inf)=0,2 */ 1601dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project return (float)(((u_int32_t)hx>>31)<<1)+one/x; 1611dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } 1621dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project 1631dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(ix < 0x3f580000) { /* |x|<0.84375 */ 1641dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(ix < 0x23800000) /* |x|<2**-56 */ 1651dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project return one-x; 1661dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project z = x*x; 1671dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4))); 1681dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project s = one+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5)))); 1691dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project y = r/s; 1701dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(hx < 0x3e800000) { /* x<1/4 */ 1711dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project return one-(x+x*y); 1721dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } else { 1731dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project r = x*y; 1741dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project r += (x-half); 1751dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project return half - r ; 1761dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } 1771dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } 1781dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(ix < 0x3fa00000) { /* 0.84375 <= |x| < 1.25 */ 1791dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project s = fabsf(x)-one; 1801dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6))))); 1811dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project Q = one+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6))))); 1821dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(hx>=0) { 1831dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project z = one-erx; return z - P/Q; 1841dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } else { 1851dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project z = erx+P/Q; return one+z; 1861dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } 1871dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } 1881dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if (ix < 0x41e00000) { /* |x|<28 */ 1891dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project x = fabsf(x); 1901dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project s = one/(x*x); 1911dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(ix< 0x4036DB6D) { /* |x| < 1/.35 ~ 2.857143*/ 1921dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project R=ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*( 1931dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project ra5+s*(ra6+s*ra7)))))); 1941dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project S=one+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*( 1951dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project sa5+s*(sa6+s*(sa7+s*sa8))))))); 1961dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } else { /* |x| >= 1/.35 ~ 2.857143 */ 1971dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(hx<0&&ix>=0x40c00000) return two-tiny;/* x < -6 */ 1981dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project R=rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*( 1991dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project rb5+s*rb6))))); 2001dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project S=one+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*( 2011dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project sb5+s*(sb6+s*sb7)))))); 2021dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } 2031dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project GET_FLOAT_WORD(ix,x); 2041dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project SET_FLOAT_WORD(z,ix&0xfffff000); 2051dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project r = __ieee754_expf(-z*z-(float)0.5625)* 2061dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project __ieee754_expf((z-x)*(z+x)+R/S); 2071dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(hx>0) return r/x; else return two-r/x; 2081dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } else { 2091dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project if(hx>0) return tiny*tiny; else return two-tiny; 2101dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project } 2111dc9e472e19acfe6dc7f41e429236e7eef7ceda1The Android Open Source Project} 212