| Index: fusl/src/math/j1f.c
|
| diff --git a/fusl/src/math/j1f.c b/fusl/src/math/j1f.c
|
| index 58875af9fc1edc27ba9b427eeca3d6eb197b30ab..200101794cf1008dddea6c69dc3af0ca2bf148d4 100644
|
| --- a/fusl/src/math/j1f.c
|
| +++ b/fusl/src/math/j1f.c
|
| @@ -18,108 +18,103 @@
|
|
|
| static float ponef(float), qonef(float);
|
|
|
| -static const float
|
| -invsqrtpi = 5.6418961287e-01, /* 0x3f106ebb */
|
| -tpi = 6.3661974669e-01; /* 0x3f22f983 */
|
| +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;
|
| +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);
|
| + 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 */
|
| +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;
|
| +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 >= 0x32000000) { /* |x| >= 2**-27 */
|
| - 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
|
| - /* raise inexact if x!=0 */
|
| - z = 0.5f + x;
|
| - return z*x;
|
| + 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 >= 0x32000000) { /* |x| >= 2**-27 */
|
| + 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
|
| + /* raise inexact if x!=0 */
|
| + z = 0.5f + x;
|
| + 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 */
|
| + -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 */
|
| + 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;
|
| +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 < 0x32000000) /* x < 2**-27 */
|
| - 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);
|
| + 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 < 0x32000000) /* x < 2**-27 */
|
| + 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
|
| @@ -132,86 +127,97 @@ float y1f(float x)
|
| * | 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 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 */
|
| + 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 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 */
|
| + 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 */
|
| + 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 */
|
| + 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 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 */
|
| + 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;
|
| +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 >= 0x40f71c58){p = pr5; q = ps5;}
|
| - else if (ix >= 0x4036db68){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;
|
| + GET_FLOAT_WORD(ix, x);
|
| + ix &= 0x7fffffff;
|
| + if (ix >= 0x41000000) {
|
| + p = pr8;
|
| + q = ps8;
|
| + } else if (ix >= 0x40f71c58) {
|
| + p = pr5;
|
| + q = ps5;
|
| + } else if (ix >= 0x4036db68) {
|
| + 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
|
| @@ -224,88 +230,100 @@ static float ponef(float x)
|
| * | 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 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 */
|
| + 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 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 */
|
| + 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 */
|
| + -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 */
|
| + 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 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 */
|
| + 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;
|
| +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 >= 0x40200000){p = qr8; q = qs8;}
|
| - else if (ix >= 0x40f71c58){p = qr5; q = qs5;}
|
| - else if (ix >= 0x4036db68){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;
|
| + GET_FLOAT_WORD(ix, x);
|
| + ix &= 0x7fffffff;
|
| + if (ix >= 0x40200000) {
|
| + p = qr8;
|
| + q = qs8;
|
| + } else if (ix >= 0x40f71c58) {
|
| + p = qr5;
|
| + q = qs5;
|
| + } else if (ix >= 0x4036db68) {
|
| + 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;
|
| }
|
|
|