e_j0f.c revision 2116
12116Sjkh/* e_j0f.c -- float version of e_j0.c. 22116Sjkh * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. 32116Sjkh */ 42116Sjkh 52116Sjkh/* 62116Sjkh * ==================================================== 72116Sjkh * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. 82116Sjkh * 92116Sjkh * Developed at SunPro, a Sun Microsystems, Inc. business. 102116Sjkh * Permission to use, copy, modify, and distribute this 112116Sjkh * software is freely granted, provided that this notice 122116Sjkh * is preserved. 132116Sjkh * ==================================================== 142116Sjkh */ 152116Sjkh 162116Sjkh#ifndef lint 172116Sjkhstatic char rcsid[] = "$Id: e_j0f.c,v 1.2 1994/08/18 23:05:32 jtc Exp $"; 182116Sjkh#endif 192116Sjkh 202116Sjkh#include "math.h" 212116Sjkh#include "math_private.h" 222116Sjkh 232116Sjkh#ifdef __STDC__ 242116Sjkhstatic float pzerof(float), qzerof(float); 252116Sjkh#else 262116Sjkhstatic float pzerof(), qzerof(); 272116Sjkh#endif 282116Sjkh 292116Sjkh#ifdef __STDC__ 302116Sjkhstatic const float 312116Sjkh#else 322116Sjkhstatic float 332116Sjkh#endif 342116Sjkhhuge = 1e30, 352116Sjkhone = 1.0, 362116Sjkhinvsqrtpi= 5.6418961287e-01, /* 0x3f106ebb */ 372116Sjkhtpi = 6.3661974669e-01, /* 0x3f22f983 */ 382116Sjkh /* R0/S0 on [0, 2.00] */ 392116SjkhR02 = 1.5625000000e-02, /* 0x3c800000 */ 402116SjkhR03 = -1.8997929874e-04, /* 0xb947352e */ 412116SjkhR04 = 1.8295404516e-06, /* 0x35f58e88 */ 422116SjkhR05 = -4.6183270541e-09, /* 0xb19eaf3c */ 432116SjkhS01 = 1.5619102865e-02, /* 0x3c7fe744 */ 442116SjkhS02 = 1.1692678527e-04, /* 0x38f53697 */ 452116SjkhS03 = 5.1354652442e-07, /* 0x3509daa6 */ 462116SjkhS04 = 1.1661400734e-09; /* 0x30a045e8 */ 472116Sjkh 482116Sjkh#ifdef __STDC__ 492116Sjkhstatic const float zero = 0.0; 502116Sjkh#else 512116Sjkhstatic float zero = 0.0; 522116Sjkh#endif 532116Sjkh 542116Sjkh#ifdef __STDC__ 552116Sjkh float __ieee754_j0f(float x) 562116Sjkh#else 572116Sjkh float __ieee754_j0f(x) 582116Sjkh float x; 592116Sjkh#endif 602116Sjkh{ 612116Sjkh float z, s,c,ss,cc,r,u,v; 622116Sjkh int32_t hx,ix; 632116Sjkh 642116Sjkh GET_FLOAT_WORD(hx,x); 652116Sjkh ix = hx&0x7fffffff; 662116Sjkh if(ix>=0x7f800000) return one/(x*x); 672116Sjkh x = fabsf(x); 682116Sjkh if(ix >= 0x40000000) { /* |x| >= 2.0 */ 692116Sjkh s = sinf(x); 702116Sjkh c = cosf(x); 712116Sjkh ss = s-c; 722116Sjkh cc = s+c; 732116Sjkh if(ix<0x7f000000) { /* make sure x+x not overflow */ 742116Sjkh z = -cosf(x+x); 752116Sjkh if ((s*c)<zero) cc = z/ss; 762116Sjkh else ss = z/cc; 772116Sjkh } 782116Sjkh /* 792116Sjkh * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x) 802116Sjkh * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x) 812116Sjkh */ 822116Sjkh if(ix>0x80000000) z = (invsqrtpi*cc)/sqrtf(x); 832116Sjkh else { 842116Sjkh u = pzerof(x); v = qzerof(x); 852116Sjkh z = invsqrtpi*(u*cc-v*ss)/sqrtf(x); 862116Sjkh } 872116Sjkh return z; 882116Sjkh } 892116Sjkh if(ix<0x39000000) { /* |x| < 2**-13 */ 902116Sjkh if(huge+x>one) { /* raise inexact if x != 0 */ 912116Sjkh if(ix<0x32000000) return one; /* |x|<2**-27 */ 922116Sjkh else return one - (float)0.25*x*x; 932116Sjkh } 942116Sjkh } 952116Sjkh z = x*x; 962116Sjkh r = z*(R02+z*(R03+z*(R04+z*R05))); 972116Sjkh s = one+z*(S01+z*(S02+z*(S03+z*S04))); 982116Sjkh if(ix < 0x3F800000) { /* |x| < 1.00 */ 992116Sjkh return one + z*((float)-0.25+(r/s)); 1002116Sjkh } else { 1012116Sjkh u = (float)0.5*x; 1022116Sjkh return((one+u)*(one-u)+z*(r/s)); 1032116Sjkh } 1042116Sjkh} 1052116Sjkh 1062116Sjkh#ifdef __STDC__ 1072116Sjkhstatic const float 1082116Sjkh#else 1092116Sjkhstatic float 1102116Sjkh#endif 1112116Sjkhu00 = -7.3804296553e-02, /* 0xbd9726b5 */ 1122116Sjkhu01 = 1.7666645348e-01, /* 0x3e34e80d */ 1132116Sjkhu02 = -1.3818567619e-02, /* 0xbc626746 */ 1142116Sjkhu03 = 3.4745343146e-04, /* 0x39b62a69 */ 1152116Sjkhu04 = -3.8140706238e-06, /* 0xb67ff53c */ 1162116Sjkhu05 = 1.9559013964e-08, /* 0x32a802ba */ 1172116Sjkhu06 = -3.9820518410e-11, /* 0xae2f21eb */ 1182116Sjkhv01 = 1.2730483897e-02, /* 0x3c509385 */ 1192116Sjkhv02 = 7.6006865129e-05, /* 0x389f65e0 */ 1202116Sjkhv03 = 2.5915085189e-07, /* 0x348b216c */ 1212116Sjkhv04 = 4.4111031494e-10; /* 0x2ff280c2 */ 1222116Sjkh 1232116Sjkh#ifdef __STDC__ 1242116Sjkh float __ieee754_y0f(float x) 1252116Sjkh#else 1262116Sjkh float __ieee754_y0f(x) 1272116Sjkh float x; 1282116Sjkh#endif 1292116Sjkh{ 1302116Sjkh float z, s,c,ss,cc,u,v; 1312116Sjkh int32_t hx,ix; 1322116Sjkh 1332116Sjkh GET_FLOAT_WORD(hx,x); 1342116Sjkh ix = 0x7fffffff&hx; 1352116Sjkh /* Y0(NaN) is NaN, y0(-inf) is Nan, y0(inf) is 0 */ 1362116Sjkh if(ix>=0x7f800000) return one/(x+x*x); 1372116Sjkh if(ix==0) return -one/zero; 1382116Sjkh if(hx<0) return zero/zero; 1392116Sjkh if(ix >= 0x40000000) { /* |x| >= 2.0 */ 1402116Sjkh /* y0(x) = sqrt(2/(pi*x))*(p0(x)*sin(x0)+q0(x)*cos(x0)) 1412116Sjkh * where x0 = x-pi/4 1422116Sjkh * Better formula: 1432116Sjkh * cos(x0) = cos(x)cos(pi/4)+sin(x)sin(pi/4) 1442116Sjkh * = 1/sqrt(2) * (sin(x) + cos(x)) 1452116Sjkh * sin(x0) = sin(x)cos(3pi/4)-cos(x)sin(3pi/4) 1462116Sjkh * = 1/sqrt(2) * (sin(x) - cos(x)) 1472116Sjkh * To avoid cancellation, use 1482116Sjkh * sin(x) +- cos(x) = -cos(2x)/(sin(x) -+ cos(x)) 1492116Sjkh * to compute the worse one. 1502116Sjkh */ 1512116Sjkh s = sinf(x); 1522116Sjkh c = cosf(x); 1532116Sjkh ss = s-c; 1542116Sjkh cc = s+c; 1552116Sjkh /* 1562116Sjkh * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x) 1572116Sjkh * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x) 1582116Sjkh */ 1592116Sjkh if(ix<0x7f000000) { /* make sure x+x not overflow */ 1602116Sjkh z = -cosf(x+x); 1612116Sjkh if ((s*c)<zero) cc = z/ss; 1622116Sjkh else ss = z/cc; 1632116Sjkh } 1642116Sjkh if(ix>0x80000000) z = (invsqrtpi*ss)/sqrtf(x); 1652116Sjkh else { 1662116Sjkh u = pzerof(x); v = qzerof(x); 1672116Sjkh z = invsqrtpi*(u*ss+v*cc)/sqrtf(x); 1682116Sjkh } 1692116Sjkh return z; 1702116Sjkh } 1712116Sjkh if(ix<=0x32000000) { /* x < 2**-27 */ 1722116Sjkh return(u00 + tpi*__ieee754_logf(x)); 1732116Sjkh } 1742116Sjkh z = x*x; 1752116Sjkh u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06))))); 1762116Sjkh v = one+z*(v01+z*(v02+z*(v03+z*v04))); 1772116Sjkh return(u/v + tpi*(__ieee754_j0f(x)*__ieee754_logf(x))); 1782116Sjkh} 1792116Sjkh 1802116Sjkh/* The asymptotic expansions of pzero is 1812116Sjkh * 1 - 9/128 s^2 + 11025/98304 s^4 - ..., where s = 1/x. 1822116Sjkh * For x >= 2, We approximate pzero by 1832116Sjkh * pzero(x) = 1 + (R/S) 1842116Sjkh * where R = pR0 + pR1*s^2 + pR2*s^4 + ... + pR5*s^10 1852116Sjkh * S = 1 + pS0*s^2 + ... + pS4*s^10 1862116Sjkh * and 1872116Sjkh * | pzero(x)-1-R/S | <= 2 ** ( -60.26) 1882116Sjkh */ 1892116Sjkh#ifdef __STDC__ 1902116Sjkhstatic const float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ 1912116Sjkh#else 1922116Sjkhstatic float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ 1932116Sjkh#endif 1942116Sjkh 0.0000000000e+00, /* 0x00000000 */ 1952116Sjkh -7.0312500000e-02, /* 0xbd900000 */ 1962116Sjkh -8.0816707611e+00, /* 0xc1014e86 */ 1972116Sjkh -2.5706311035e+02, /* 0xc3808814 */ 1982116Sjkh -2.4852163086e+03, /* 0xc51b5376 */ 1992116Sjkh -5.2530439453e+03, /* 0xc5a4285a */ 2002116Sjkh}; 2012116Sjkh#ifdef __STDC__ 2022116Sjkhstatic const float pS8[5] = { 2032116Sjkh#else 2042116Sjkhstatic float pS8[5] = { 2052116Sjkh#endif 2062116Sjkh 1.1653436279e+02, /* 0x42e91198 */ 2072116Sjkh 3.8337448730e+03, /* 0x456f9beb */ 2082116Sjkh 4.0597855469e+04, /* 0x471e95db */ 2092116Sjkh 1.1675296875e+05, /* 0x47e4087c */ 2102116Sjkh 4.7627726562e+04, /* 0x473a0bba */ 2112116Sjkh}; 2122116Sjkh#ifdef __STDC__ 2132116Sjkhstatic const float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ 2142116Sjkh#else 2152116Sjkhstatic float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ 2162116Sjkh#endif 2172116Sjkh -1.1412546255e-11, /* 0xad48c58a */ 2182116Sjkh -7.0312492549e-02, /* 0xbd8fffff */ 2192116Sjkh -4.1596107483e+00, /* 0xc0851b88 */ 2202116Sjkh -6.7674766541e+01, /* 0xc287597b */ 2212116Sjkh -3.3123129272e+02, /* 0xc3a59d9b */ 2222116Sjkh -3.4643338013e+02, /* 0xc3ad3779 */ 2232116Sjkh}; 2242116Sjkh#ifdef __STDC__ 2252116Sjkhstatic const float pS5[5] = { 2262116Sjkh#else 2272116Sjkhstatic float pS5[5] = { 2282116Sjkh#endif 2292116Sjkh 6.0753936768e+01, /* 0x42730408 */ 2302116Sjkh 1.0512523193e+03, /* 0x44836813 */ 2312116Sjkh 5.9789707031e+03, /* 0x45bad7c4 */ 2322116Sjkh 9.6254453125e+03, /* 0x461665c8 */ 2332116Sjkh 2.4060581055e+03, /* 0x451660ee */ 2342116Sjkh}; 2352116Sjkh 2362116Sjkh#ifdef __STDC__ 2372116Sjkhstatic const float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ 2382116Sjkh#else 2392116Sjkhstatic float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ 2402116Sjkh#endif 2412116Sjkh -2.5470459075e-09, /* 0xb12f081b */ 2422116Sjkh -7.0311963558e-02, /* 0xbd8fffb8 */ 2432116Sjkh -2.4090321064e+00, /* 0xc01a2d95 */ 2442116Sjkh -2.1965976715e+01, /* 0xc1afba52 */ 2452116Sjkh -5.8079170227e+01, /* 0xc2685112 */ 2462116Sjkh -3.1447946548e+01, /* 0xc1fb9565 */ 2472116Sjkh}; 2482116Sjkh#ifdef __STDC__ 2492116Sjkhstatic const float pS3[5] = { 2502116Sjkh#else 2512116Sjkhstatic float pS3[5] = { 2522116Sjkh#endif 2532116Sjkh 3.5856033325e+01, /* 0x420f6c94 */ 2542116Sjkh 3.6151397705e+02, /* 0x43b4c1ca */ 2552116Sjkh 1.1936077881e+03, /* 0x44953373 */ 2562116Sjkh 1.1279968262e+03, /* 0x448cffe6 */ 2572116Sjkh 1.7358093262e+02, /* 0x432d94b8 */ 2582116Sjkh}; 2592116Sjkh 2602116Sjkh#ifdef __STDC__ 2612116Sjkhstatic const float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ 2622116Sjkh#else 2632116Sjkhstatic float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ 2642116Sjkh#endif 2652116Sjkh -8.8753431271e-08, /* 0xb3be98b7 */ 2662116Sjkh -7.0303097367e-02, /* 0xbd8ffb12 */ 2672116Sjkh -1.4507384300e+00, /* 0xbfb9b1cc */ 2682116Sjkh -7.6356959343e+00, /* 0xc0f4579f */ 2692116Sjkh -1.1193166733e+01, /* 0xc1331736 */ 2702116Sjkh -3.2336456776e+00, /* 0xc04ef40d */ 2712116Sjkh}; 2722116Sjkh#ifdef __STDC__ 2732116Sjkhstatic const float pS2[5] = { 2742116Sjkh#else 2752116Sjkhstatic float pS2[5] = { 2762116Sjkh#endif 2772116Sjkh 2.2220300674e+01, /* 0x41b1c32d */ 2782116Sjkh 1.3620678711e+02, /* 0x430834f0 */ 2792116Sjkh 2.7047027588e+02, /* 0x43873c32 */ 2802116Sjkh 1.5387539673e+02, /* 0x4319e01a */ 2812116Sjkh 1.4657617569e+01, /* 0x416a859a */ 2822116Sjkh}; 2832116Sjkh 2842116Sjkh#ifdef __STDC__ 2852116Sjkh static float pzerof(float x) 2862116Sjkh#else 2872116Sjkh static float pzerof(x) 2882116Sjkh float x; 2892116Sjkh#endif 2902116Sjkh{ 2912116Sjkh#ifdef __STDC__ 2922116Sjkh const float *p,*q; 2932116Sjkh#else 2942116Sjkh float *p,*q; 2952116Sjkh#endif 2962116Sjkh float z,r,s; 2972116Sjkh int32_t ix; 2982116Sjkh GET_FLOAT_WORD(ix,x); 2992116Sjkh ix &= 0x7fffffff; 3002116Sjkh if(ix>=0x41000000) {p = pR8; q= pS8;} 3012116Sjkh else if(ix>=0x40f71c58){p = pR5; q= pS5;} 3022116Sjkh else if(ix>=0x4036db68){p = pR3; q= pS3;} 3032116Sjkh else if(ix>=0x40000000){p = pR2; q= pS2;} 3042116Sjkh z = one/(x*x); 3052116Sjkh r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); 3062116Sjkh s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4])))); 3072116Sjkh return one+ r/s; 3082116Sjkh} 3092116Sjkh 3102116Sjkh 3112116Sjkh/* For x >= 8, the asymptotic expansions of qzero is 3122116Sjkh * -1/8 s + 75/1024 s^3 - ..., where s = 1/x. 3132116Sjkh * We approximate pzero by 3142116Sjkh * qzero(x) = s*(-1.25 + (R/S)) 3152116Sjkh * where R = qR0 + qR1*s^2 + qR2*s^4 + ... + qR5*s^10 3162116Sjkh * S = 1 + qS0*s^2 + ... + qS5*s^12 3172116Sjkh * and 3182116Sjkh * | qzero(x)/s +1.25-R/S | <= 2 ** ( -61.22) 3192116Sjkh */ 3202116Sjkh#ifdef __STDC__ 3212116Sjkhstatic const float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ 3222116Sjkh#else 3232116Sjkhstatic float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ 3242116Sjkh#endif 3252116Sjkh 0.0000000000e+00, /* 0x00000000 */ 3262116Sjkh 7.3242187500e-02, /* 0x3d960000 */ 3272116Sjkh 1.1768206596e+01, /* 0x413c4a93 */ 3282116Sjkh 5.5767340088e+02, /* 0x440b6b19 */ 3292116Sjkh 8.8591972656e+03, /* 0x460a6cca */ 3302116Sjkh 3.7014625000e+04, /* 0x471096a0 */ 3312116Sjkh}; 3322116Sjkh#ifdef __STDC__ 3332116Sjkhstatic const float qS8[6] = { 3342116Sjkh#else 3352116Sjkhstatic float qS8[6] = { 3362116Sjkh#endif 3372116Sjkh 1.6377603149e+02, /* 0x4323c6aa */ 3382116Sjkh 8.0983447266e+03, /* 0x45fd12c2 */ 3392116Sjkh 1.4253829688e+05, /* 0x480b3293 */ 3402116Sjkh 8.0330925000e+05, /* 0x49441ed4 */ 3412116Sjkh 8.4050156250e+05, /* 0x494d3359 */ 3422116Sjkh -3.4389928125e+05, /* 0xc8a7eb69 */ 3432116Sjkh}; 3442116Sjkh 3452116Sjkh#ifdef __STDC__ 3462116Sjkhstatic const float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ 3472116Sjkh#else 3482116Sjkhstatic float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ 3492116Sjkh#endif 3502116Sjkh 1.8408595828e-11, /* 0x2da1ec79 */ 3512116Sjkh 7.3242180049e-02, /* 0x3d95ffff */ 3522116Sjkh 5.8356351852e+00, /* 0x40babd86 */ 3532116Sjkh 1.3511157227e+02, /* 0x43071c90 */ 3542116Sjkh 1.0272437744e+03, /* 0x448067cd */ 3552116Sjkh 1.9899779053e+03, /* 0x44f8bf4b */ 3562116Sjkh}; 3572116Sjkh#ifdef __STDC__ 3582116Sjkhstatic const float qS5[6] = { 3592116Sjkh#else 3602116Sjkhstatic float qS5[6] = { 3612116Sjkh#endif 3622116Sjkh 8.2776611328e+01, /* 0x42a58da0 */ 3632116Sjkh 2.0778142090e+03, /* 0x4501dd07 */ 3642116Sjkh 1.8847289062e+04, /* 0x46933e94 */ 3652116Sjkh 5.6751113281e+04, /* 0x475daf1d */ 3662116Sjkh 3.5976753906e+04, /* 0x470c88c1 */ 3672116Sjkh -5.3543427734e+03, /* 0xc5a752be */ 3682116Sjkh}; 3692116Sjkh 3702116Sjkh#ifdef __STDC__ 3712116Sjkhstatic const float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ 3722116Sjkh#else 3732116Sjkhstatic float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ 3742116Sjkh#endif 3752116Sjkh 4.3774099900e-09, /* 0x3196681b */ 3762116Sjkh 7.3241114616e-02, /* 0x3d95ff70 */ 3772116Sjkh 3.3442313671e+00, /* 0x405607e3 */ 3782116Sjkh 4.2621845245e+01, /* 0x422a7cc5 */ 3792116Sjkh 1.7080809021e+02, /* 0x432acedf */ 3802116Sjkh 1.6673394775e+02, /* 0x4326bbe4 */ 3812116Sjkh}; 3822116Sjkh#ifdef __STDC__ 3832116Sjkhstatic const float qS3[6] = { 3842116Sjkh#else 3852116Sjkhstatic float qS3[6] = { 3862116Sjkh#endif 3872116Sjkh 4.8758872986e+01, /* 0x42430916 */ 3882116Sjkh 7.0968920898e+02, /* 0x44316c1c */ 3892116Sjkh 3.7041481934e+03, /* 0x4567825f */ 3902116Sjkh 6.4604252930e+03, /* 0x45c9e367 */ 3912116Sjkh 2.5163337402e+03, /* 0x451d4557 */ 3922116Sjkh -1.4924745178e+02, /* 0xc3153f59 */ 3932116Sjkh}; 3942116Sjkh 3952116Sjkh#ifdef __STDC__ 3962116Sjkhstatic const float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ 3972116Sjkh#else 3982116Sjkhstatic float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ 3992116Sjkh#endif 4002116Sjkh 1.5044444979e-07, /* 0x342189db */ 4012116Sjkh 7.3223426938e-02, /* 0x3d95f62a */ 4022116Sjkh 1.9981917143e+00, /* 0x3fffc4bf */ 4032116Sjkh 1.4495602608e+01, /* 0x4167edfd */ 4042116Sjkh 3.1666231155e+01, /* 0x41fd5471 */ 4052116Sjkh 1.6252708435e+01, /* 0x4182058c */ 4062116Sjkh}; 4072116Sjkh#ifdef __STDC__ 4082116Sjkhstatic const float qS2[6] = { 4092116Sjkh#else 4102116Sjkhstatic float qS2[6] = { 4112116Sjkh#endif 4122116Sjkh 3.0365585327e+01, /* 0x41f2ecb8 */ 4132116Sjkh 2.6934811401e+02, /* 0x4386ac8f */ 4142116Sjkh 8.4478375244e+02, /* 0x44533229 */ 4152116Sjkh 8.8293585205e+02, /* 0x445cbbe5 */ 4162116Sjkh 2.1266638184e+02, /* 0x4354aa98 */ 4172116Sjkh -5.3109550476e+00, /* 0xc0a9f358 */ 4182116Sjkh}; 4192116Sjkh 4202116Sjkh#ifdef __STDC__ 4212116Sjkh static float qzerof(float x) 4222116Sjkh#else 4232116Sjkh static float qzerof(x) 4242116Sjkh float x; 4252116Sjkh#endif 4262116Sjkh{ 4272116Sjkh#ifdef __STDC__ 4282116Sjkh const float *p,*q; 4292116Sjkh#else 4302116Sjkh float *p,*q; 4312116Sjkh#endif 4322116Sjkh float s,r,z; 4332116Sjkh int32_t ix; 4342116Sjkh GET_FLOAT_WORD(ix,x); 4352116Sjkh ix &= 0x7fffffff; 4362116Sjkh if(ix>=0x41000000) {p = qR8; q= qS8;} 4372116Sjkh else if(ix>=0x40f71c58){p = qR5; q= qS5;} 4382116Sjkh else if(ix>=0x4036db68){p = qR3; q= qS3;} 4392116Sjkh else if(ix>=0x40000000){p = qR2; q= qS2;} 4402116Sjkh z = one/(x*x); 4412116Sjkh r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); 4422116Sjkh s = one+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5]))))); 4432116Sjkh return (-(float).125 + r/s)/x; 4442116Sjkh} 445