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Unified Diff: fusl/src/math/erff.c

Issue 1714623002: [fusl] clang-format fusl (Closed) Base URL: git@github.com:domokit/mojo.git@master
Patch Set: headers too Created 4 years, 10 months ago
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Index: fusl/src/math/erff.c
diff --git a/fusl/src/math/erff.c b/fusl/src/math/erff.c
index ed5f3975741595057cbc981d13fd6c43ce11270a..13abe22140b10c109059f88dd3843584d4387966 100644
--- a/fusl/src/math/erff.c
+++ b/fusl/src/math/erff.c
@@ -15,169 +15,172 @@
#include "libm.h"
-static const float
-erx = 8.4506291151e-01, /* 0x3f58560b */
-/*
- * Coefficients for approximation to erf on [0,0.84375]
- */
-efx8 = 1.0270333290e+00, /* 0x3f8375d4 */
-pp0 = 1.2837916613e-01, /* 0x3e0375d4 */
-pp1 = -3.2504209876e-01, /* 0xbea66beb */
-pp2 = -2.8481749818e-02, /* 0xbce9528f */
-pp3 = -5.7702702470e-03, /* 0xbbbd1489 */
-pp4 = -2.3763017452e-05, /* 0xb7c756b1 */
-qq1 = 3.9791721106e-01, /* 0x3ecbbbce */
-qq2 = 6.5022252500e-02, /* 0x3d852a63 */
-qq3 = 5.0813062117e-03, /* 0x3ba68116 */
-qq4 = 1.3249473704e-04, /* 0x390aee49 */
-qq5 = -3.9602282413e-06, /* 0xb684e21a */
-/*
- * Coefficients for approximation to erf in [0.84375,1.25]
- */
-pa0 = -2.3621185683e-03, /* 0xbb1acdc6 */
-pa1 = 4.1485610604e-01, /* 0x3ed46805 */
-pa2 = -3.7220788002e-01, /* 0xbebe9208 */
-pa3 = 3.1834661961e-01, /* 0x3ea2fe54 */
-pa4 = -1.1089469492e-01, /* 0xbde31cc2 */
-pa5 = 3.5478305072e-02, /* 0x3d1151b3 */
-pa6 = -2.1663755178e-03, /* 0xbb0df9c0 */
-qa1 = 1.0642088205e-01, /* 0x3dd9f331 */
-qa2 = 5.4039794207e-01, /* 0x3f0a5785 */
-qa3 = 7.1828655899e-02, /* 0x3d931ae7 */
-qa4 = 1.2617121637e-01, /* 0x3e013307 */
-qa5 = 1.3637083583e-02, /* 0x3c5f6e13 */
-qa6 = 1.1984500103e-02, /* 0x3c445aa3 */
-/*
- * Coefficients for approximation to erfc in [1.25,1/0.35]
- */
-ra0 = -9.8649440333e-03, /* 0xbc21a093 */
-ra1 = -6.9385856390e-01, /* 0xbf31a0b7 */
-ra2 = -1.0558626175e+01, /* 0xc128f022 */
-ra3 = -6.2375331879e+01, /* 0xc2798057 */
-ra4 = -1.6239666748e+02, /* 0xc322658c */
-ra5 = -1.8460508728e+02, /* 0xc3389ae7 */
-ra6 = -8.1287437439e+01, /* 0xc2a2932b */
-ra7 = -9.8143291473e+00, /* 0xc11d077e */
-sa1 = 1.9651271820e+01, /* 0x419d35ce */
-sa2 = 1.3765776062e+02, /* 0x4309a863 */
-sa3 = 4.3456588745e+02, /* 0x43d9486f */
-sa4 = 6.4538726807e+02, /* 0x442158c9 */
-sa5 = 4.2900814819e+02, /* 0x43d6810b */
-sa6 = 1.0863500214e+02, /* 0x42d9451f */
-sa7 = 6.5702495575e+00, /* 0x40d23f7c */
-sa8 = -6.0424413532e-02, /* 0xbd777f97 */
-/*
- * Coefficients for approximation to erfc in [1/.35,28]
- */
-rb0 = -9.8649431020e-03, /* 0xbc21a092 */
-rb1 = -7.9928326607e-01, /* 0xbf4c9dd4 */
-rb2 = -1.7757955551e+01, /* 0xc18e104b */
-rb3 = -1.6063638306e+02, /* 0xc320a2ea */
-rb4 = -6.3756646729e+02, /* 0xc41f6441 */
-rb5 = -1.0250950928e+03, /* 0xc480230b */
-rb6 = -4.8351919556e+02, /* 0xc3f1c275 */
-sb1 = 3.0338060379e+01, /* 0x41f2b459 */
-sb2 = 3.2579251099e+02, /* 0x43a2e571 */
-sb3 = 1.5367296143e+03, /* 0x44c01759 */
-sb4 = 3.1998581543e+03, /* 0x4547fdbb */
-sb5 = 2.5530502930e+03, /* 0x451f90ce */
-sb6 = 4.7452853394e+02, /* 0x43ed43a7 */
-sb7 = -2.2440952301e+01; /* 0xc1b38712 */
+static const float erx = 8.4506291151e-01, /* 0x3f58560b */
+ /*
+ * Coefficients for approximation to erf on [0,0.84375]
+ */
+ efx8 = 1.0270333290e+00, /* 0x3f8375d4 */
+ pp0 = 1.2837916613e-01, /* 0x3e0375d4 */
+ pp1 = -3.2504209876e-01, /* 0xbea66beb */
+ pp2 = -2.8481749818e-02, /* 0xbce9528f */
+ pp3 = -5.7702702470e-03, /* 0xbbbd1489 */
+ pp4 = -2.3763017452e-05, /* 0xb7c756b1 */
+ qq1 = 3.9791721106e-01, /* 0x3ecbbbce */
+ qq2 = 6.5022252500e-02, /* 0x3d852a63 */
+ qq3 = 5.0813062117e-03, /* 0x3ba68116 */
+ qq4 = 1.3249473704e-04, /* 0x390aee49 */
+ qq5 = -3.9602282413e-06, /* 0xb684e21a */
+ /*
+ * Coefficients for approximation to erf in [0.84375,1.25]
+ */
+ pa0 = -2.3621185683e-03, /* 0xbb1acdc6 */
+ pa1 = 4.1485610604e-01, /* 0x3ed46805 */
+ pa2 = -3.7220788002e-01, /* 0xbebe9208 */
+ pa3 = 3.1834661961e-01, /* 0x3ea2fe54 */
+ pa4 = -1.1089469492e-01, /* 0xbde31cc2 */
+ pa5 = 3.5478305072e-02, /* 0x3d1151b3 */
+ pa6 = -2.1663755178e-03, /* 0xbb0df9c0 */
+ qa1 = 1.0642088205e-01, /* 0x3dd9f331 */
+ qa2 = 5.4039794207e-01, /* 0x3f0a5785 */
+ qa3 = 7.1828655899e-02, /* 0x3d931ae7 */
+ qa4 = 1.2617121637e-01, /* 0x3e013307 */
+ qa5 = 1.3637083583e-02, /* 0x3c5f6e13 */
+ qa6 = 1.1984500103e-02, /* 0x3c445aa3 */
+ /*
+ * Coefficients for approximation to erfc in [1.25,1/0.35]
+ */
+ ra0 = -9.8649440333e-03, /* 0xbc21a093 */
+ ra1 = -6.9385856390e-01, /* 0xbf31a0b7 */
+ ra2 = -1.0558626175e+01, /* 0xc128f022 */
+ ra3 = -6.2375331879e+01, /* 0xc2798057 */
+ ra4 = -1.6239666748e+02, /* 0xc322658c */
+ ra5 = -1.8460508728e+02, /* 0xc3389ae7 */
+ ra6 = -8.1287437439e+01, /* 0xc2a2932b */
+ ra7 = -9.8143291473e+00, /* 0xc11d077e */
+ sa1 = 1.9651271820e+01, /* 0x419d35ce */
+ sa2 = 1.3765776062e+02, /* 0x4309a863 */
+ sa3 = 4.3456588745e+02, /* 0x43d9486f */
+ sa4 = 6.4538726807e+02, /* 0x442158c9 */
+ sa5 = 4.2900814819e+02, /* 0x43d6810b */
+ sa6 = 1.0863500214e+02, /* 0x42d9451f */
+ sa7 = 6.5702495575e+00, /* 0x40d23f7c */
+ sa8 = -6.0424413532e-02, /* 0xbd777f97 */
+ /*
+ * Coefficients for approximation to erfc in [1/.35,28]
+ */
+ rb0 = -9.8649431020e-03, /* 0xbc21a092 */
+ rb1 = -7.9928326607e-01, /* 0xbf4c9dd4 */
+ rb2 = -1.7757955551e+01, /* 0xc18e104b */
+ rb3 = -1.6063638306e+02, /* 0xc320a2ea */
+ rb4 = -6.3756646729e+02, /* 0xc41f6441 */
+ rb5 = -1.0250950928e+03, /* 0xc480230b */
+ rb6 = -4.8351919556e+02, /* 0xc3f1c275 */
+ sb1 = 3.0338060379e+01, /* 0x41f2b459 */
+ sb2 = 3.2579251099e+02, /* 0x43a2e571 */
+ sb3 = 1.5367296143e+03, /* 0x44c01759 */
+ sb4 = 3.1998581543e+03, /* 0x4547fdbb */
+ sb5 = 2.5530502930e+03, /* 0x451f90ce */
+ sb6 = 4.7452853394e+02, /* 0x43ed43a7 */
+ sb7 = -2.2440952301e+01; /* 0xc1b38712 */
-static float erfc1(float x)
-{
- float_t s,P,Q;
+static float erfc1(float x) {
+ float_t s, P, Q;
- s = fabsf(x) - 1;
- P = pa0+s*(pa1+s*(pa2+s*(pa3+s*(pa4+s*(pa5+s*pa6)))));
- Q = 1+s*(qa1+s*(qa2+s*(qa3+s*(qa4+s*(qa5+s*qa6)))));
- return 1 - erx - P/Q;
+ s = fabsf(x) - 1;
+ P = pa0 + s * (pa1 + s * (pa2 + s * (pa3 + s * (pa4 + s * (pa5 + s * pa6)))));
+ Q = 1 + s * (qa1 + s * (qa2 + s * (qa3 + s * (qa4 + s * (qa5 + s * qa6)))));
+ return 1 - erx - P / Q;
}
-static float erfc2(uint32_t ix, float x)
-{
- float_t s,R,S;
- float z;
+static float erfc2(uint32_t ix, float x) {
+ float_t s, R, S;
+ float z;
- if (ix < 0x3fa00000) /* |x| < 1.25 */
- return erfc1(x);
+ if (ix < 0x3fa00000) /* |x| < 1.25 */
+ return erfc1(x);
- x = fabsf(x);
- s = 1/(x*x);
- if (ix < 0x4036db6d) { /* |x| < 1/0.35 */
- R = ra0+s*(ra1+s*(ra2+s*(ra3+s*(ra4+s*(
- ra5+s*(ra6+s*ra7))))));
- S = 1.0f+s*(sa1+s*(sa2+s*(sa3+s*(sa4+s*(
- sa5+s*(sa6+s*(sa7+s*sa8)))))));
- } else { /* |x| >= 1/0.35 */
- R = rb0+s*(rb1+s*(rb2+s*(rb3+s*(rb4+s*(
- rb5+s*rb6)))));
- S = 1.0f+s*(sb1+s*(sb2+s*(sb3+s*(sb4+s*(
- sb5+s*(sb6+s*sb7))))));
- }
- GET_FLOAT_WORD(ix, x);
- SET_FLOAT_WORD(z, ix&0xffffe000);
- return expf(-z*z - 0.5625f) * expf((z-x)*(z+x) + R/S)/x;
+ x = fabsf(x);
+ s = 1 / (x * x);
+ if (ix < 0x4036db6d) { /* |x| < 1/0.35 */
+ R = ra0 +
+ s * (ra1 +
+ s * (ra2 +
+ s * (ra3 + s * (ra4 + s * (ra5 + s * (ra6 + s * ra7))))));
+ S = 1.0f +
+ s * (sa1 +
+ s * (sa2 +
+ s * (sa3 +
+ s * (sa4 +
+ s * (sa5 + s * (sa6 + s * (sa7 + s * sa8)))))));
+ } else { /* |x| >= 1/0.35 */
+ R = rb0 +
+ s * (rb1 + s * (rb2 + s * (rb3 + s * (rb4 + s * (rb5 + s * rb6)))));
+ S = 1.0f +
+ s * (sb1 +
+ s * (sb2 +
+ s * (sb3 + s * (sb4 + s * (sb5 + s * (sb6 + s * sb7))))));
+ }
+ GET_FLOAT_WORD(ix, x);
+ SET_FLOAT_WORD(z, ix & 0xffffe000);
+ return expf(-z * z - 0.5625f) * expf((z - x) * (z + x) + R / S) / x;
}
-float erff(float x)
-{
- float r,s,z,y;
- uint32_t ix;
- int sign;
+float erff(float x) {
+ float r, s, z, y;
+ uint32_t ix;
+ int sign;
- GET_FLOAT_WORD(ix, x);
- sign = ix>>31;
- ix &= 0x7fffffff;
- if (ix >= 0x7f800000) {
- /* erf(nan)=nan, erf(+-inf)=+-1 */
- return 1-2*sign + 1/x;
- }
- if (ix < 0x3f580000) { /* |x| < 0.84375 */
- if (ix < 0x31800000) { /* |x| < 2**-28 */
- /*avoid underflow */
- return 0.125f*(8*x + efx8*x);
- }
- z = x*x;
- r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
- s = 1+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
- y = r/s;
- return x + x*y;
- }
- if (ix < 0x40c00000) /* |x| < 6 */
- y = 1 - erfc2(ix,x);
- else
- y = 1 - 0x1p-120f;
- return sign ? -y : y;
+ GET_FLOAT_WORD(ix, x);
+ sign = ix >> 31;
+ ix &= 0x7fffffff;
+ if (ix >= 0x7f800000) {
+ /* erf(nan)=nan, erf(+-inf)=+-1 */
+ return 1 - 2 * sign + 1 / x;
+ }
+ if (ix < 0x3f580000) { /* |x| < 0.84375 */
+ if (ix < 0x31800000) { /* |x| < 2**-28 */
+ /*avoid underflow */
+ return 0.125f * (8 * x + efx8 * x);
+ }
+ z = x * x;
+ r = pp0 + z * (pp1 + z * (pp2 + z * (pp3 + z * pp4)));
+ s = 1 + z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 + z * qq5))));
+ y = r / s;
+ return x + x * y;
+ }
+ if (ix < 0x40c00000) /* |x| < 6 */
+ y = 1 - erfc2(ix, x);
+ else
+ y = 1 - 0x1p-120f;
+ return sign ? -y : y;
}
-float erfcf(float x)
-{
- float r,s,z,y;
- uint32_t ix;
- int sign;
+float erfcf(float x) {
+ float r, s, z, y;
+ uint32_t ix;
+ int sign;
- GET_FLOAT_WORD(ix, x);
- sign = ix>>31;
- ix &= 0x7fffffff;
- if (ix >= 0x7f800000) {
- /* erfc(nan)=nan, erfc(+-inf)=0,2 */
- return 2*sign + 1/x;
- }
+ GET_FLOAT_WORD(ix, x);
+ sign = ix >> 31;
+ ix &= 0x7fffffff;
+ if (ix >= 0x7f800000) {
+ /* erfc(nan)=nan, erfc(+-inf)=0,2 */
+ return 2 * sign + 1 / x;
+ }
- if (ix < 0x3f580000) { /* |x| < 0.84375 */
- if (ix < 0x23800000) /* |x| < 2**-56 */
- return 1.0f - x;
- z = x*x;
- r = pp0+z*(pp1+z*(pp2+z*(pp3+z*pp4)));
- s = 1.0f+z*(qq1+z*(qq2+z*(qq3+z*(qq4+z*qq5))));
- y = r/s;
- if (sign || ix < 0x3e800000) /* x < 1/4 */
- return 1.0f - (x+x*y);
- return 0.5f - (x - 0.5f + x*y);
- }
- if (ix < 0x41e00000) { /* |x| < 28 */
- return sign ? 2 - erfc2(ix,x) : erfc2(ix,x);
- }
- return sign ? 2 - 0x1p-120f : 0x1p-120f*0x1p-120f;
+ if (ix < 0x3f580000) { /* |x| < 0.84375 */
+ if (ix < 0x23800000) /* |x| < 2**-56 */
+ return 1.0f - x;
+ z = x * x;
+ r = pp0 + z * (pp1 + z * (pp2 + z * (pp3 + z * pp4)));
+ s = 1.0f + z * (qq1 + z * (qq2 + z * (qq3 + z * (qq4 + z * qq5))));
+ y = r / s;
+ if (sign || ix < 0x3e800000) /* x < 1/4 */
+ return 1.0f - (x + x * y);
+ return 0.5f - (x - 0.5f + x * y);
+ }
+ if (ix < 0x41e00000) { /* |x| < 28 */
+ return sign ? 2 - erfc2(ix, x) : erfc2(ix, x);
+ }
+ return sign ? 2 - 0x1p-120f : 0x1p-120f * 0x1p-120f;
}
« fusl/arch/aarch64/atomic_arch.h ('K') | « fusl/src/math/erf.c ('k') | fusl/src/math/erfl.c » ('j') | no next file with comments »

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