Index: fusl/src/math/log1pf.c |
diff --git a/fusl/src/math/log1pf.c b/fusl/src/math/log1pf.c |
new file mode 100644 |
index 0000000000000000000000000000000000000000..23985c35675842d925bbc3c1475bd419926e0fda |
--- /dev/null |
+++ b/fusl/src/math/log1pf.c |
@@ -0,0 +1,77 @@ |
+/* origin: FreeBSD /usr/src/lib/msun/src/s_log1pf.c */ |
+/* |
+ * ==================================================== |
+ * 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. |
+ * ==================================================== |
+ */ |
+ |
+#include "libm.h" |
+ |
+static const float |
+ln2_hi = 6.9313812256e-01, /* 0x3f317180 */ |
+ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */ |
+/* |(log(1+s)-log(1-s))/s - Lg(s)| < 2**-34.24 (~[-4.95e-11, 4.97e-11]). */ |
+Lg1 = 0xaaaaaa.0p-24, /* 0.66666662693 */ |
+Lg2 = 0xccce13.0p-25, /* 0.40000972152 */ |
+Lg3 = 0x91e9ee.0p-25, /* 0.28498786688 */ |
+Lg4 = 0xf89e26.0p-26; /* 0.24279078841 */ |
+ |
+float log1pf(float x) |
+{ |
+ union {float f; uint32_t i;} u = {x}; |
+ float_t hfsq,f,c,s,z,R,w,t1,t2,dk; |
+ uint32_t ix,iu; |
+ int k; |
+ |
+ ix = u.i; |
+ k = 1; |
+ if (ix < 0x3ed413d0 || ix>>31) { /* 1+x < sqrt(2)+ */ |
+ if (ix >= 0xbf800000) { /* x <= -1.0 */ |
+ if (x == -1) |
+ return x/0.0f; /* log1p(-1)=+inf */ |
+ return (x-x)/0.0f; /* log1p(x<-1)=NaN */ |
+ } |
+ if (ix<<1 < 0x33800000<<1) { /* |x| < 2**-24 */ |
+ /* underflow if subnormal */ |
+ if ((ix&0x7f800000) == 0) |
+ FORCE_EVAL(x*x); |
+ return x; |
+ } |
+ if (ix <= 0xbe95f619) { /* sqrt(2)/2- <= 1+x < sqrt(2)+ */ |
+ k = 0; |
+ c = 0; |
+ f = x; |
+ } |
+ } else if (ix >= 0x7f800000) |
+ return x; |
+ if (k) { |
+ u.f = 1 + x; |
+ iu = u.i; |
+ iu += 0x3f800000 - 0x3f3504f3; |
+ k = (int)(iu>>23) - 0x7f; |
+ /* correction term ~ log(1+x)-log(u), avoid underflow in c/u */ |
+ if (k < 25) { |
+ c = k >= 2 ? 1-(u.f-x) : x-(u.f-1); |
+ c /= u.f; |
+ } else |
+ c = 0; |
+ /* reduce u into [sqrt(2)/2, sqrt(2)] */ |
+ iu = (iu&0x007fffff) + 0x3f3504f3; |
+ u.i = iu; |
+ f = u.f - 1; |
+ } |
+ s = f/(2.0f + f); |
+ z = s*s; |
+ w = z*z; |
+ t1= w*(Lg2+w*Lg4); |
+ t2= z*(Lg1+w*Lg3); |
+ R = t2 + t1; |
+ hfsq = 0.5f*f*f; |
+ dk = k; |
+ return s*(hfsq+R) + (dk*ln2_lo+c) - hfsq + f + dk*ln2_hi; |
+} |