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; |
} |