Index: fusl/src/math/j0f.c |
diff --git a/fusl/src/math/j0f.c b/fusl/src/math/j0f.c |
index 45883dc419e9816bbd0ce31af33619484032ee86..6d926d3ac2109463c893b24be4e344fd95831dfe 100644 |
--- a/fusl/src/math/j0f.c |
+++ b/fusl/src/math/j0f.c |
@@ -18,113 +18,108 @@ |
static float pzerof(float), qzerof(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 y0) |
-{ |
- float z,s,c,ss,cc; |
- /* |
- * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x) |
- * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x) |
- */ |
- s = sinf(x); |
- c = cosf(x); |
- if (y0) |
- c = -c; |
- 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 (y0) |
- ss = -ss; |
- cc = pzerof(x)*cc-qzerof(x)*ss; |
- } |
- } |
- return invsqrtpi*cc/sqrtf(x); |
+static float common(uint32_t ix, float x, int y0) { |
+ float z, s, c, ss, cc; |
+ /* |
+ * j0(x) = 1/sqrt(pi) * (P(0,x)*cc - Q(0,x)*ss) / sqrt(x) |
+ * y0(x) = 1/sqrt(pi) * (P(0,x)*ss + Q(0,x)*cc) / sqrt(x) |
+ */ |
+ s = sinf(x); |
+ c = cosf(x); |
+ if (y0) |
+ c = -c; |
+ 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 (y0) |
+ ss = -ss; |
+ cc = pzerof(x) * cc - qzerof(x) * ss; |
+ } |
+ } |
+ return invsqrtpi * cc / sqrtf(x); |
} |
/* R0/S0 on [0, 2.00] */ |
-static const float |
-R02 = 1.5625000000e-02, /* 0x3c800000 */ |
-R03 = -1.8997929874e-04, /* 0xb947352e */ |
-R04 = 1.8295404516e-06, /* 0x35f58e88 */ |
-R05 = -4.6183270541e-09, /* 0xb19eaf3c */ |
-S01 = 1.5619102865e-02, /* 0x3c7fe744 */ |
-S02 = 1.1692678527e-04, /* 0x38f53697 */ |
-S03 = 5.1354652442e-07, /* 0x3509daa6 */ |
-S04 = 1.1661400734e-09; /* 0x30a045e8 */ |
+static const float R02 = 1.5625000000e-02, /* 0x3c800000 */ |
+ R03 = -1.8997929874e-04, /* 0xb947352e */ |
+ R04 = 1.8295404516e-06, /* 0x35f58e88 */ |
+ R05 = -4.6183270541e-09, /* 0xb19eaf3c */ |
+ S01 = 1.5619102865e-02, /* 0x3c7fe744 */ |
+ S02 = 1.1692678527e-04, /* 0x38f53697 */ |
+ S03 = 5.1354652442e-07, /* 0x3509daa6 */ |
+ S04 = 1.1661400734e-09; /* 0x30a045e8 */ |
-float j0f(float x) |
-{ |
- float z,r,s; |
- uint32_t ix; |
+float j0f(float x) { |
+ float z, r, s; |
+ uint32_t ix; |
- GET_FLOAT_WORD(ix, x); |
- ix &= 0x7fffffff; |
- if (ix >= 0x7f800000) |
- return 1/(x*x); |
- x = fabsf(x); |
+ GET_FLOAT_WORD(ix, x); |
+ ix &= 0x7fffffff; |
+ if (ix >= 0x7f800000) |
+ return 1 / (x * x); |
+ x = fabsf(x); |
- if (ix >= 0x40000000) { /* |x| >= 2 */ |
- /* large ulp error near zeros */ |
- return common(ix, x, 0); |
- } |
- if (ix >= 0x3a000000) { /* |x| >= 2**-11 */ |
- /* up to 4ulp error near 2 */ |
- z = x*x; |
- r = z*(R02+z*(R03+z*(R04+z*R05))); |
- s = 1+z*(S01+z*(S02+z*(S03+z*S04))); |
- return (1+x/2)*(1-x/2) + z*(r/s); |
- } |
- if (ix >= 0x21800000) /* |x| >= 2**-60 */ |
- x = 0.25f*x*x; |
- return 1 - x; |
+ if (ix >= 0x40000000) { /* |x| >= 2 */ |
+ /* large ulp error near zeros */ |
+ return common(ix, x, 0); |
+ } |
+ if (ix >= 0x3a000000) { /* |x| >= 2**-11 */ |
+ /* up to 4ulp error near 2 */ |
+ z = x * x; |
+ r = z * (R02 + z * (R03 + z * (R04 + z * R05))); |
+ s = 1 + z * (S01 + z * (S02 + z * (S03 + z * S04))); |
+ return (1 + x / 2) * (1 - x / 2) + z * (r / s); |
+ } |
+ if (ix >= 0x21800000) /* |x| >= 2**-60 */ |
+ x = 0.25f * x * x; |
+ return 1 - x; |
} |
-static const float |
-u00 = -7.3804296553e-02, /* 0xbd9726b5 */ |
-u01 = 1.7666645348e-01, /* 0x3e34e80d */ |
-u02 = -1.3818567619e-02, /* 0xbc626746 */ |
-u03 = 3.4745343146e-04, /* 0x39b62a69 */ |
-u04 = -3.8140706238e-06, /* 0xb67ff53c */ |
-u05 = 1.9559013964e-08, /* 0x32a802ba */ |
-u06 = -3.9820518410e-11, /* 0xae2f21eb */ |
-v01 = 1.2730483897e-02, /* 0x3c509385 */ |
-v02 = 7.6006865129e-05, /* 0x389f65e0 */ |
-v03 = 2.5915085189e-07, /* 0x348b216c */ |
-v04 = 4.4111031494e-10; /* 0x2ff280c2 */ |
+static const float u00 = -7.3804296553e-02, /* 0xbd9726b5 */ |
+ u01 = 1.7666645348e-01, /* 0x3e34e80d */ |
+ u02 = -1.3818567619e-02, /* 0xbc626746 */ |
+ u03 = 3.4745343146e-04, /* 0x39b62a69 */ |
+ u04 = -3.8140706238e-06, /* 0xb67ff53c */ |
+ u05 = 1.9559013964e-08, /* 0x32a802ba */ |
+ u06 = -3.9820518410e-11, /* 0xae2f21eb */ |
+ v01 = 1.2730483897e-02, /* 0x3c509385 */ |
+ v02 = 7.6006865129e-05, /* 0x389f65e0 */ |
+ v03 = 2.5915085189e-07, /* 0x348b216c */ |
+ v04 = 4.4111031494e-10; /* 0x2ff280c2 */ |
-float y0f(float x) |
-{ |
- float z,u,v; |
- uint32_t ix; |
+float y0f(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 */ |
- /* large ulp error near zeros */ |
- return common(ix,x,1); |
- } |
- if (ix >= 0x39000000) { /* x >= 2**-13 */ |
- /* large ulp error at x ~= 0.89 */ |
- z = x*x; |
- u = u00+z*(u01+z*(u02+z*(u03+z*(u04+z*(u05+z*u06))))); |
- v = 1+z*(v01+z*(v02+z*(v03+z*v04))); |
- return u/v + tpi*(j0f(x)*logf(x)); |
- } |
- return u00 + tpi*logf(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 */ |
+ /* large ulp error near zeros */ |
+ return common(ix, x, 1); |
+ } |
+ if (ix >= 0x39000000) { /* x >= 2**-13 */ |
+ /* large ulp error at x ~= 0.89 */ |
+ z = x * x; |
+ u = u00 + |
+ z * (u01 + z * (u02 + z * (u03 + z * (u04 + z * (u05 + z * u06))))); |
+ v = 1 + z * (v01 + z * (v02 + z * (v03 + z * v04))); |
+ return u / v + tpi * (j0f(x) * logf(x)); |
+ } |
+ return u00 + tpi * logf(x); |
} |
/* The asymptotic expansions of pzero is |
@@ -136,88 +131,99 @@ float y0f(float x) |
* and |
* | pzero(x)-1-R/S | <= 2 ** ( -60.26) |
*/ |
-static const float pR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
- 0.0000000000e+00, /* 0x00000000 */ |
- -7.0312500000e-02, /* 0xbd900000 */ |
- -8.0816707611e+00, /* 0xc1014e86 */ |
- -2.5706311035e+02, /* 0xc3808814 */ |
- -2.4852163086e+03, /* 0xc51b5376 */ |
- -5.2530439453e+03, /* 0xc5a4285a */ |
+static const float pR8[6] = { |
+ /* for x in [inf, 8]=1/[0,0.125] */ |
+ 0.0000000000e+00, /* 0x00000000 */ |
+ -7.0312500000e-02, /* 0xbd900000 */ |
+ -8.0816707611e+00, /* 0xc1014e86 */ |
+ -2.5706311035e+02, /* 0xc3808814 */ |
+ -2.4852163086e+03, /* 0xc51b5376 */ |
+ -5.2530439453e+03, /* 0xc5a4285a */ |
}; |
static const float pS8[5] = { |
- 1.1653436279e+02, /* 0x42e91198 */ |
- 3.8337448730e+03, /* 0x456f9beb */ |
- 4.0597855469e+04, /* 0x471e95db */ |
- 1.1675296875e+05, /* 0x47e4087c */ |
- 4.7627726562e+04, /* 0x473a0bba */ |
+ 1.1653436279e+02, /* 0x42e91198 */ |
+ 3.8337448730e+03, /* 0x456f9beb */ |
+ 4.0597855469e+04, /* 0x471e95db */ |
+ 1.1675296875e+05, /* 0x47e4087c */ |
+ 4.7627726562e+04, /* 0x473a0bba */ |
}; |
-static const float pR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
- -1.1412546255e-11, /* 0xad48c58a */ |
- -7.0312492549e-02, /* 0xbd8fffff */ |
- -4.1596107483e+00, /* 0xc0851b88 */ |
- -6.7674766541e+01, /* 0xc287597b */ |
- -3.3123129272e+02, /* 0xc3a59d9b */ |
- -3.4643338013e+02, /* 0xc3ad3779 */ |
+static const float pR5[6] = { |
+ /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
+ -1.1412546255e-11, /* 0xad48c58a */ |
+ -7.0312492549e-02, /* 0xbd8fffff */ |
+ -4.1596107483e+00, /* 0xc0851b88 */ |
+ -6.7674766541e+01, /* 0xc287597b */ |
+ -3.3123129272e+02, /* 0xc3a59d9b */ |
+ -3.4643338013e+02, /* 0xc3ad3779 */ |
}; |
static const float pS5[5] = { |
- 6.0753936768e+01, /* 0x42730408 */ |
- 1.0512523193e+03, /* 0x44836813 */ |
- 5.9789707031e+03, /* 0x45bad7c4 */ |
- 9.6254453125e+03, /* 0x461665c8 */ |
- 2.4060581055e+03, /* 0x451660ee */ |
+ 6.0753936768e+01, /* 0x42730408 */ |
+ 1.0512523193e+03, /* 0x44836813 */ |
+ 5.9789707031e+03, /* 0x45bad7c4 */ |
+ 9.6254453125e+03, /* 0x461665c8 */ |
+ 2.4060581055e+03, /* 0x451660ee */ |
}; |
-static const float pR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
- -2.5470459075e-09, /* 0xb12f081b */ |
- -7.0311963558e-02, /* 0xbd8fffb8 */ |
- -2.4090321064e+00, /* 0xc01a2d95 */ |
- -2.1965976715e+01, /* 0xc1afba52 */ |
- -5.8079170227e+01, /* 0xc2685112 */ |
- -3.1447946548e+01, /* 0xc1fb9565 */ |
+static const float pR3[6] = { |
+ /* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
+ -2.5470459075e-09, /* 0xb12f081b */ |
+ -7.0311963558e-02, /* 0xbd8fffb8 */ |
+ -2.4090321064e+00, /* 0xc01a2d95 */ |
+ -2.1965976715e+01, /* 0xc1afba52 */ |
+ -5.8079170227e+01, /* 0xc2685112 */ |
+ -3.1447946548e+01, /* 0xc1fb9565 */ |
}; |
static const float pS3[5] = { |
- 3.5856033325e+01, /* 0x420f6c94 */ |
- 3.6151397705e+02, /* 0x43b4c1ca */ |
- 1.1936077881e+03, /* 0x44953373 */ |
- 1.1279968262e+03, /* 0x448cffe6 */ |
- 1.7358093262e+02, /* 0x432d94b8 */ |
+ 3.5856033325e+01, /* 0x420f6c94 */ |
+ 3.6151397705e+02, /* 0x43b4c1ca */ |
+ 1.1936077881e+03, /* 0x44953373 */ |
+ 1.1279968262e+03, /* 0x448cffe6 */ |
+ 1.7358093262e+02, /* 0x432d94b8 */ |
}; |
-static const float pR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
- -8.8753431271e-08, /* 0xb3be98b7 */ |
- -7.0303097367e-02, /* 0xbd8ffb12 */ |
- -1.4507384300e+00, /* 0xbfb9b1cc */ |
- -7.6356959343e+00, /* 0xc0f4579f */ |
- -1.1193166733e+01, /* 0xc1331736 */ |
- -3.2336456776e+00, /* 0xc04ef40d */ |
+static const float pR2[6] = { |
+ /* for x in [2.8570,2]=1/[0.3499,0.5] */ |
+ -8.8753431271e-08, /* 0xb3be98b7 */ |
+ -7.0303097367e-02, /* 0xbd8ffb12 */ |
+ -1.4507384300e+00, /* 0xbfb9b1cc */ |
+ -7.6356959343e+00, /* 0xc0f4579f */ |
+ -1.1193166733e+01, /* 0xc1331736 */ |
+ -3.2336456776e+00, /* 0xc04ef40d */ |
}; |
static const float pS2[5] = { |
- 2.2220300674e+01, /* 0x41b1c32d */ |
- 1.3620678711e+02, /* 0x430834f0 */ |
- 2.7047027588e+02, /* 0x43873c32 */ |
- 1.5387539673e+02, /* 0x4319e01a */ |
- 1.4657617569e+01, /* 0x416a859a */ |
+ 2.2220300674e+01, /* 0x41b1c32d */ |
+ 1.3620678711e+02, /* 0x430834f0 */ |
+ 2.7047027588e+02, /* 0x43873c32 */ |
+ 1.5387539673e+02, /* 0x4319e01a */ |
+ 1.4657617569e+01, /* 0x416a859a */ |
}; |
-static float pzerof(float x) |
-{ |
- const float *p,*q; |
- float_t z,r,s; |
- uint32_t ix; |
+static float pzerof(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 qzero is |
* -1/8 s + 75/1024 s^3 - ..., where s = 1/x. |
* We approximate pzero by |
@@ -227,88 +233,101 @@ static float pzerof(float x) |
* and |
* | qzero(x)/s +1.25-R/S | <= 2 ** ( -61.22) |
*/ |
-static const float qR8[6] = { /* for x in [inf, 8]=1/[0,0.125] */ |
- 0.0000000000e+00, /* 0x00000000 */ |
- 7.3242187500e-02, /* 0x3d960000 */ |
- 1.1768206596e+01, /* 0x413c4a93 */ |
- 5.5767340088e+02, /* 0x440b6b19 */ |
- 8.8591972656e+03, /* 0x460a6cca */ |
- 3.7014625000e+04, /* 0x471096a0 */ |
+static const float qR8[6] = { |
+ /* for x in [inf, 8]=1/[0,0.125] */ |
+ 0.0000000000e+00, /* 0x00000000 */ |
+ 7.3242187500e-02, /* 0x3d960000 */ |
+ 1.1768206596e+01, /* 0x413c4a93 */ |
+ 5.5767340088e+02, /* 0x440b6b19 */ |
+ 8.8591972656e+03, /* 0x460a6cca */ |
+ 3.7014625000e+04, /* 0x471096a0 */ |
}; |
static const float qS8[6] = { |
- 1.6377603149e+02, /* 0x4323c6aa */ |
- 8.0983447266e+03, /* 0x45fd12c2 */ |
- 1.4253829688e+05, /* 0x480b3293 */ |
- 8.0330925000e+05, /* 0x49441ed4 */ |
- 8.4050156250e+05, /* 0x494d3359 */ |
- -3.4389928125e+05, /* 0xc8a7eb69 */ |
+ 1.6377603149e+02, /* 0x4323c6aa */ |
+ 8.0983447266e+03, /* 0x45fd12c2 */ |
+ 1.4253829688e+05, /* 0x480b3293 */ |
+ 8.0330925000e+05, /* 0x49441ed4 */ |
+ 8.4050156250e+05, /* 0x494d3359 */ |
+ -3.4389928125e+05, /* 0xc8a7eb69 */ |
}; |
-static const float qR5[6] = { /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
- 1.8408595828e-11, /* 0x2da1ec79 */ |
- 7.3242180049e-02, /* 0x3d95ffff */ |
- 5.8356351852e+00, /* 0x40babd86 */ |
- 1.3511157227e+02, /* 0x43071c90 */ |
- 1.0272437744e+03, /* 0x448067cd */ |
- 1.9899779053e+03, /* 0x44f8bf4b */ |
+static const float qR5[6] = { |
+ /* for x in [8,4.5454]=1/[0.125,0.22001] */ |
+ 1.8408595828e-11, /* 0x2da1ec79 */ |
+ 7.3242180049e-02, /* 0x3d95ffff */ |
+ 5.8356351852e+00, /* 0x40babd86 */ |
+ 1.3511157227e+02, /* 0x43071c90 */ |
+ 1.0272437744e+03, /* 0x448067cd */ |
+ 1.9899779053e+03, /* 0x44f8bf4b */ |
}; |
static const float qS5[6] = { |
- 8.2776611328e+01, /* 0x42a58da0 */ |
- 2.0778142090e+03, /* 0x4501dd07 */ |
- 1.8847289062e+04, /* 0x46933e94 */ |
- 5.6751113281e+04, /* 0x475daf1d */ |
- 3.5976753906e+04, /* 0x470c88c1 */ |
- -5.3543427734e+03, /* 0xc5a752be */ |
+ 8.2776611328e+01, /* 0x42a58da0 */ |
+ 2.0778142090e+03, /* 0x4501dd07 */ |
+ 1.8847289062e+04, /* 0x46933e94 */ |
+ 5.6751113281e+04, /* 0x475daf1d */ |
+ 3.5976753906e+04, /* 0x470c88c1 */ |
+ -5.3543427734e+03, /* 0xc5a752be */ |
}; |
-static const float qR3[6] = {/* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
- 4.3774099900e-09, /* 0x3196681b */ |
- 7.3241114616e-02, /* 0x3d95ff70 */ |
- 3.3442313671e+00, /* 0x405607e3 */ |
- 4.2621845245e+01, /* 0x422a7cc5 */ |
- 1.7080809021e+02, /* 0x432acedf */ |
- 1.6673394775e+02, /* 0x4326bbe4 */ |
+static const float qR3[6] = { |
+ /* for x in [4.547,2.8571]=1/[0.2199,0.35001] */ |
+ 4.3774099900e-09, /* 0x3196681b */ |
+ 7.3241114616e-02, /* 0x3d95ff70 */ |
+ 3.3442313671e+00, /* 0x405607e3 */ |
+ 4.2621845245e+01, /* 0x422a7cc5 */ |
+ 1.7080809021e+02, /* 0x432acedf */ |
+ 1.6673394775e+02, /* 0x4326bbe4 */ |
}; |
static const float qS3[6] = { |
- 4.8758872986e+01, /* 0x42430916 */ |
- 7.0968920898e+02, /* 0x44316c1c */ |
- 3.7041481934e+03, /* 0x4567825f */ |
- 6.4604252930e+03, /* 0x45c9e367 */ |
- 2.5163337402e+03, /* 0x451d4557 */ |
- -1.4924745178e+02, /* 0xc3153f59 */ |
+ 4.8758872986e+01, /* 0x42430916 */ |
+ 7.0968920898e+02, /* 0x44316c1c */ |
+ 3.7041481934e+03, /* 0x4567825f */ |
+ 6.4604252930e+03, /* 0x45c9e367 */ |
+ 2.5163337402e+03, /* 0x451d4557 */ |
+ -1.4924745178e+02, /* 0xc3153f59 */ |
}; |
-static const float qR2[6] = {/* for x in [2.8570,2]=1/[0.3499,0.5] */ |
- 1.5044444979e-07, /* 0x342189db */ |
- 7.3223426938e-02, /* 0x3d95f62a */ |
- 1.9981917143e+00, /* 0x3fffc4bf */ |
- 1.4495602608e+01, /* 0x4167edfd */ |
- 3.1666231155e+01, /* 0x41fd5471 */ |
- 1.6252708435e+01, /* 0x4182058c */ |
+static const float qR2[6] = { |
+ /* for x in [2.8570,2]=1/[0.3499,0.5] */ |
+ 1.5044444979e-07, /* 0x342189db */ |
+ 7.3223426938e-02, /* 0x3d95f62a */ |
+ 1.9981917143e+00, /* 0x3fffc4bf */ |
+ 1.4495602608e+01, /* 0x4167edfd */ |
+ 3.1666231155e+01, /* 0x41fd5471 */ |
+ 1.6252708435e+01, /* 0x4182058c */ |
}; |
static const float qS2[6] = { |
- 3.0365585327e+01, /* 0x41f2ecb8 */ |
- 2.6934811401e+02, /* 0x4386ac8f */ |
- 8.4478375244e+02, /* 0x44533229 */ |
- 8.8293585205e+02, /* 0x445cbbe5 */ |
- 2.1266638184e+02, /* 0x4354aa98 */ |
- -5.3109550476e+00, /* 0xc0a9f358 */ |
+ 3.0365585327e+01, /* 0x41f2ecb8 */ |
+ 2.6934811401e+02, /* 0x4386ac8f */ |
+ 8.4478375244e+02, /* 0x44533229 */ |
+ 8.8293585205e+02, /* 0x445cbbe5 */ |
+ 2.1266638184e+02, /* 0x4354aa98 */ |
+ -5.3109550476e+00, /* 0xc0a9f358 */ |
}; |
-static float qzerof(float x) |
-{ |
- const float *p,*q; |
- float_t s,r,z; |
- uint32_t ix; |
+static float qzerof(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 >= 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 (-.125f + r/s)/x; |
+ GET_FLOAT_WORD(ix, x); |
+ ix &= 0x7fffffff; |
+ if (ix >= 0x41000000) { |
+ 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 (-.125f + r / s) / x; |
} |