| 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);
|
| +}
|
|
|