diff options
Diffstat (limited to 'lib/mlibc/options/ansi/musl-generic-math/j1f.c')
| -rw-r--r-- | lib/mlibc/options/ansi/musl-generic-math/j1f.c | 310 |
1 files changed, 0 insertions, 310 deletions
diff --git a/lib/mlibc/options/ansi/musl-generic-math/j1f.c b/lib/mlibc/options/ansi/musl-generic-math/j1f.c deleted file mode 100644 index 3434c53..0000000 --- a/lib/mlibc/options/ansi/musl-generic-math/j1f.c +++ /dev/null @@ -1,310 +0,0 @@ -/* origin: FreeBSD /usr/src/lib/msun/src/e_j1f.c */ -/* - * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. - */ -/* - * ==================================================== - * Copyright (C) 1993 by Sun Microsystems, Inc. All rights reserved. - * - * Developed at SunPro, a Sun Microsystems, Inc. business. - * Permission to use, copy, modify, and distribute this - * software is freely granted, provided that this notice - * is preserved. - * ==================================================== - */ - -#define _GNU_SOURCE -#include "libm.h" - -static float ponef(float), qonef(float); - -static const float -invsqrtpi = 5.6418961287e-01, /* 0x3f106ebb */ -tpi = 6.3661974669e-01; /* 0x3f22f983 */ - -static float common(uint32_t ix, float x, int y1, int sign) -{ - double z,s,c,ss,cc; - - s = sinf(x); - if (y1) - s = -s; - c = cosf(x); - cc = s-c; - if (ix < 0x7f000000) { - ss = -s-c; - z = cosf(2*x); - if (s*c > 0) - cc = z/ss; - else - ss = z/cc; - if (ix < 0x58800000) { - if (y1) - ss = -ss; - cc = ponef(x)*cc-qonef(x)*ss; - } - } - if (sign) - cc = -cc; - return invsqrtpi*cc/sqrtf(x); -} - -/* R0/S0 on [0,2] */ -static const float -r00 = -6.2500000000e-02, /* 0xbd800000 */ -r01 = 1.4070566976e-03, /* 0x3ab86cfd */ -r02 = -1.5995563444e-05, /* 0xb7862e36 */ -r03 = 4.9672799207e-08, /* 0x335557d2 */ -s01 = 1.9153760746e-02, /* 0x3c9ce859 */ -s02 = 1.8594678841e-04, /* 0x3942fab6 */ -s03 = 1.1771846857e-06, /* 0x359dffc2 */ -s04 = 5.0463624390e-09, /* 0x31ad6446 */ -s05 = 1.2354227016e-11; /* 0x2d59567e */ - -float j1f(float x) -{ - float z,r,s; - uint32_t ix; - int sign; - - GET_FLOAT_WORD(ix, x); - sign = ix>>31; - ix &= 0x7fffffff; - if (ix >= 0x7f800000) - return 1/(x*x); - if (ix >= 0x40000000) /* |x| >= 2 */ - return common(ix, fabsf(x), 0, sign); - if (ix >= 0x39000000) { /* |x| >= 2**-13 */ - z = x*x; - r = z*(r00+z*(r01+z*(r02+z*r03))); - s = 1+z*(s01+z*(s02+z*(s03+z*(s04+z*s05)))); - z = 0.5f + r/s; - } else - z = 0.5f; - return z*x; -} - -static const float U0[5] = { - -1.9605709612e-01, /* 0xbe48c331 */ - 5.0443872809e-02, /* 0x3d4e9e3c */ - -1.9125689287e-03, /* 0xbafaaf2a */ - 2.3525259166e-05, /* 0x37c5581c */ - -9.1909917899e-08, /* 0xb3c56003 */ -}; -static const float V0[5] = { - 1.9916731864e-02, /* 0x3ca3286a */ - 2.0255257550e-04, /* 0x3954644b */ - 1.3560879779e-06, /* 0x35b602d4 */ - 6.2274145840e-09, /* 0x31d5f8eb */ - 1.6655924903e-11, /* 0x2d9281cf */ -}; - -float y1f(float x) -{ - float z,u,v; - uint32_t ix; - - GET_FLOAT_WORD(ix, x); - if ((ix & 0x7fffffff) == 0) - return -1/0.0f; - if (ix>>31) - return 0/0.0f; - if (ix >= 0x7f800000) - return 1/x; - if (ix >= 0x40000000) /* |x| >= 2.0 */ - return common(ix,x,1,0); - if (ix < 0x33000000) /* x < 2**-25 */ - return -tpi/x; - z = x*x; - u = U0[0]+z*(U0[1]+z*(U0[2]+z*(U0[3]+z*U0[4]))); - v = 1.0f+z*(V0[0]+z*(V0[1]+z*(V0[2]+z*(V0[3]+z*V0[4])))); - return x*(u/v) + tpi*(j1f(x)*logf(x)-1.0f/x); -} - -/* For x >= 8, the asymptotic expansions of pone is - * 1 + 15/128 s^2 - 4725/2^15 s^4 - ..., where s = 1/x. - * We approximate pone by - * pone(x) = 1 + (R/S) - * where R = pr0 + pr1*s^2 + pr2*s^4 + ... + pr5*s^10 - * S = 1 + ps0*s^2 + ... + ps4*s^10 - * and - * | pone(x)-1-R/S | <= 2 ** ( -60.06) - */ - -static const float pr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ - 0.0000000000e+00, /* 0x00000000 */ - 1.1718750000e-01, /* 0x3df00000 */ - 1.3239480972e+01, /* 0x4153d4ea */ - 4.1205184937e+02, /* 0x43ce06a3 */ - 3.8747453613e+03, /* 0x45722bed */ - 7.9144794922e+03, /* 0x45f753d6 */ -}; -static const float ps8[5] = { - 1.1420736694e+02, /* 0x42e46a2c */ - 3.6509309082e+03, /* 0x45642ee5 */ - 3.6956207031e+04, /* 0x47105c35 */ - 9.7602796875e+04, /* 0x47bea166 */ - 3.0804271484e+04, /* 0x46f0a88b */ -}; - -static const float pr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ - 1.3199052094e-11, /* 0x2d68333f */ - 1.1718749255e-01, /* 0x3defffff */ - 6.8027510643e+00, /* 0x40d9b023 */ - 1.0830818176e+02, /* 0x42d89dca */ - 5.1763616943e+02, /* 0x440168b7 */ - 5.2871520996e+02, /* 0x44042dc6 */ -}; -static const float ps5[5] = { - 5.9280597687e+01, /* 0x426d1f55 */ - 9.9140142822e+02, /* 0x4477d9b1 */ - 5.3532670898e+03, /* 0x45a74a23 */ - 7.8446904297e+03, /* 0x45f52586 */ - 1.5040468750e+03, /* 0x44bc0180 */ -}; - -static const float pr3[6] = { - 3.0250391081e-09, /* 0x314fe10d */ - 1.1718686670e-01, /* 0x3defffab */ - 3.9329774380e+00, /* 0x407bb5e7 */ - 3.5119403839e+01, /* 0x420c7a45 */ - 9.1055007935e+01, /* 0x42b61c2a */ - 4.8559066772e+01, /* 0x42423c7c */ -}; -static const float ps3[5] = { - 3.4791309357e+01, /* 0x420b2a4d */ - 3.3676245117e+02, /* 0x43a86198 */ - 1.0468714600e+03, /* 0x4482dbe3 */ - 8.9081134033e+02, /* 0x445eb3ed */ - 1.0378793335e+02, /* 0x42cf936c */ -}; - -static const float pr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ - 1.0771083225e-07, /* 0x33e74ea8 */ - 1.1717621982e-01, /* 0x3deffa16 */ - 2.3685150146e+00, /* 0x401795c0 */ - 1.2242610931e+01, /* 0x4143e1bc */ - 1.7693971634e+01, /* 0x418d8d41 */ - 5.0735230446e+00, /* 0x40a25a4d */ -}; -static const float ps2[5] = { - 2.1436485291e+01, /* 0x41ab7dec */ - 1.2529022980e+02, /* 0x42fa9499 */ - 2.3227647400e+02, /* 0x436846c7 */ - 1.1767937469e+02, /* 0x42eb5bd7 */ - 8.3646392822e+00, /* 0x4105d590 */ -}; - -static float ponef(float x) -{ - const float *p,*q; - float_t z,r,s; - uint32_t ix; - - GET_FLOAT_WORD(ix, x); - ix &= 0x7fffffff; - if (ix >= 0x41000000){p = pr8; q = ps8;} - else if (ix >= 0x409173eb){p = pr5; q = ps5;} - else if (ix >= 0x4036d917){p = pr3; q = ps3;} - else /*ix >= 0x40000000*/ {p = pr2; q = ps2;} - z = 1.0f/(x*x); - r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); - s = 1.0f+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*q[4])))); - return 1.0f + r/s; -} - -/* For x >= 8, the asymptotic expansions of qone is - * 3/8 s - 105/1024 s^3 - ..., where s = 1/x. - * We approximate pone by - * qone(x) = s*(0.375 + (R/S)) - * where R = qr1*s^2 + qr2*s^4 + ... + qr5*s^10 - * S = 1 + qs1*s^2 + ... + qs6*s^12 - * and - * | qone(x)/s -0.375-R/S | <= 2 ** ( -61.13) - */ - -static const float qr8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ - 0.0000000000e+00, /* 0x00000000 */ - -1.0253906250e-01, /* 0xbdd20000 */ - -1.6271753311e+01, /* 0xc1822c8d */ - -7.5960174561e+02, /* 0xc43de683 */ - -1.1849806641e+04, /* 0xc639273a */ - -4.8438511719e+04, /* 0xc73d3683 */ -}; -static const float qs8[6] = { - 1.6139537048e+02, /* 0x43216537 */ - 7.8253862305e+03, /* 0x45f48b17 */ - 1.3387534375e+05, /* 0x4802bcd6 */ - 7.1965775000e+05, /* 0x492fb29c */ - 6.6660125000e+05, /* 0x4922be94 */ - -2.9449025000e+05, /* 0xc88fcb48 */ -}; - -static const float qr5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ - -2.0897993405e-11, /* 0xadb7d219 */ - -1.0253904760e-01, /* 0xbdd1fffe */ - -8.0564479828e+00, /* 0xc100e736 */ - -1.8366960144e+02, /* 0xc337ab6b */ - -1.3731937256e+03, /* 0xc4aba633 */ - -2.6124443359e+03, /* 0xc523471c */ -}; -static const float qs5[6] = { - 8.1276550293e+01, /* 0x42a28d98 */ - 1.9917987061e+03, /* 0x44f8f98f */ - 1.7468484375e+04, /* 0x468878f8 */ - 4.9851425781e+04, /* 0x4742bb6d */ - 2.7948074219e+04, /* 0x46da5826 */ - -4.7191835938e+03, /* 0xc5937978 */ -}; - -static const float qr3[6] = { - -5.0783124372e-09, /* 0xb1ae7d4f */ - -1.0253783315e-01, /* 0xbdd1ff5b */ - -4.6101160049e+00, /* 0xc0938612 */ - -5.7847221375e+01, /* 0xc267638e */ - -2.2824453735e+02, /* 0xc3643e9a */ - -2.1921012878e+02, /* 0xc35b35cb */ -}; -static const float qs3[6] = { - 4.7665153503e+01, /* 0x423ea91e */ - 6.7386511230e+02, /* 0x4428775e */ - 3.3801528320e+03, /* 0x45534272 */ - 5.5477290039e+03, /* 0x45ad5dd5 */ - 1.9031191406e+03, /* 0x44ede3d0 */ - -1.3520118713e+02, /* 0xc3073381 */ -}; - -static const float qr2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ - -1.7838172539e-07, /* 0xb43f8932 */ - -1.0251704603e-01, /* 0xbdd1f475 */ - -2.7522056103e+00, /* 0xc0302423 */ - -1.9663616180e+01, /* 0xc19d4f16 */ - -4.2325313568e+01, /* 0xc2294d1f */ - -2.1371921539e+01, /* 0xc1aaf9b2 */ -}; -static const float qs2[6] = { - 2.9533363342e+01, /* 0x41ec4454 */ - 2.5298155212e+02, /* 0x437cfb47 */ - 7.5750280762e+02, /* 0x443d602e */ - 7.3939318848e+02, /* 0x4438d92a */ - 1.5594900513e+02, /* 0x431bf2f2 */ - -4.9594988823e+00, /* 0xc09eb437 */ -}; - -static float qonef(float x) -{ - const float *p,*q; - float_t s,r,z; - uint32_t ix; - - GET_FLOAT_WORD(ix, x); - ix &= 0x7fffffff; - if (ix >= 0x41000000){p = qr8; q = qs8;} - else if (ix >= 0x409173eb){p = qr5; q = qs5;} - else if (ix >= 0x4036d917){p = qr3; q = qs3;} - else /*ix >= 0x40000000*/ {p = qr2; q = qs2;} - z = 1.0f/(x*x); - r = p[0]+z*(p[1]+z*(p[2]+z*(p[3]+z*(p[4]+z*p[5])))); - s = 1.0f+z*(q[0]+z*(q[1]+z*(q[2]+z*(q[3]+z*(q[4]+z*q[5]))))); - return (.375f + r/s)/x; -} |