Index: fusl/src/math/expf.c |
diff --git a/fusl/src/math/expf.c b/fusl/src/math/expf.c |
new file mode 100644 |
index 0000000000000000000000000000000000000000..16e9afe62a21cbd09d6845f8076fb37e4fa5a560 |
--- /dev/null |
+++ b/fusl/src/math/expf.c |
@@ -0,0 +1,81 @@ |
+/* origin: FreeBSD /usr/src/lib/msun/src/e_expf.c */ |
+/* |
+ * Conversion to float by Ian Lance Taylor, Cygnus Support, ian@cygnus.com. |
+ */ |
+/* |
+ * ==================================================== |
+ * 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 |
+half[2] = {0.5,-0.5}, |
+ln2hi = 6.9314575195e-1f, /* 0x3f317200 */ |
+ln2lo = 1.4286067653e-6f, /* 0x35bfbe8e */ |
+invln2 = 1.4426950216e+0f, /* 0x3fb8aa3b */ |
+/* |
+ * Domain [-0.34568, 0.34568], range ~[-4.278e-9, 4.447e-9]: |
+ * |x*(exp(x)+1)/(exp(x)-1) - p(x)| < 2**-27.74 |
+ */ |
+P1 = 1.6666625440e-1f, /* 0xaaaa8f.0p-26 */ |
+P2 = -2.7667332906e-3f; /* -0xb55215.0p-32 */ |
+ |
+float expf(float x) |
+{ |
+ float_t hi, lo, c, xx, y; |
+ int k, sign; |
+ uint32_t hx; |
+ |
+ GET_FLOAT_WORD(hx, x); |
+ sign = hx >> 31; /* sign bit of x */ |
+ hx &= 0x7fffffff; /* high word of |x| */ |
+ |
+ /* special cases */ |
+ if (hx >= 0x42aeac50) { /* if |x| >= -87.33655f or NaN */ |
+ if (hx >= 0x42b17218 && !sign) { /* x >= 88.722839f */ |
+ /* overflow */ |
+ x *= 0x1p127f; |
+ return x; |
+ } |
+ if (sign) { |
+ /* underflow */ |
+ FORCE_EVAL(-0x1p-149f/x); |
+ if (hx >= 0x42cff1b5) /* x <= -103.972084f */ |
+ return 0; |
+ } |
+ } |
+ |
+ /* argument reduction */ |
+ if (hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */ |
+ if (hx > 0x3f851592) /* if |x| > 1.5 ln2 */ |
+ k = invln2*x + half[sign]; |
+ else |
+ k = 1 - sign - sign; |
+ hi = x - k*ln2hi; /* k*ln2hi is exact here */ |
+ lo = k*ln2lo; |
+ x = hi - lo; |
+ } else if (hx > 0x39000000) { /* |x| > 2**-14 */ |
+ k = 0; |
+ hi = x; |
+ lo = 0; |
+ } else { |
+ /* raise inexact */ |
+ FORCE_EVAL(0x1p127f + x); |
+ return 1 + x; |
+ } |
+ |
+ /* x is now in primary range */ |
+ xx = x*x; |
+ c = x - xx*(P1+xx*P2); |
+ y = 1 + (x*c/(2-c) - lo + hi); |
+ if (k == 0) |
+ return y; |
+ return scalbnf(y, k); |
+} |