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-rw-r--r--src/math/expf.c95
1 files changed, 95 insertions, 0 deletions
diff --git a/src/math/expf.c b/src/math/expf.c
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+/* 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
+one = 1.0,
+halF[2] = {0.5,-0.5,},
+huge = 1.0e+30,
+o_threshold = 8.8721679688e+01, /* 0x42b17180 */
+u_threshold = -1.0397208405e+02, /* 0xc2cff1b5 */
+ln2HI[2] = { 6.9314575195e-01, /* 0x3f317200 */
+ -6.9314575195e-01,},/* 0xbf317200 */
+ln2LO[2] = { 1.4286067653e-06, /* 0x35bfbe8e */
+ -1.4286067653e-06,},/* 0xb5bfbe8e */
+invln2 = 1.4426950216e+00, /* 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-1, /* 0xaaaa8f.0p-26 */
+P2 = -2.7667332906e-3; /* -0xb55215.0p-32 */
+
+static volatile float twom100 = 7.8886090522e-31; /* 2**-100=0x0d800000 */
+
+float expf(float x)
+{
+ float y,hi=0.0,lo=0.0,c,t,twopk;
+ int32_t k=0,xsb;
+ uint32_t hx;
+
+ GET_FLOAT_WORD(hx, x);
+ xsb = (hx>>31)&1; /* sign bit of x */
+ hx &= 0x7fffffff; /* high word of |x| */
+
+ /* filter out non-finite argument */
+ if (hx >= 0x42b17218) { /* if |x|>=88.721... */
+ if (hx > 0x7f800000) /* NaN */
+ return x+x;
+ if (hx == 0x7f800000) /* exp(+-inf)={inf,0} */
+ return xsb==0 ? x : 0.0;
+ if (x > o_threshold)
+ return huge*huge; /* overflow */
+ if (x < u_threshold)
+ return twom100*twom100; /* underflow */
+ }
+
+ /* argument reduction */
+ if (hx > 0x3eb17218) { /* if |x| > 0.5 ln2 */
+ if (hx < 0x3F851592) { /* and |x| < 1.5 ln2 */
+ hi = x-ln2HI[xsb];
+ lo = ln2LO[xsb];
+ k = 1 - xsb - xsb;
+ } else {
+ k = invln2*x + halF[xsb];
+ t = k;
+ hi = x - t*ln2HI[0]; /* t*ln2HI is exact here */
+ lo = t*ln2LO[0];
+ }
+ STRICT_ASSIGN(float, x, hi - lo);
+ } else if(hx < 0x39000000) { /* |x|<2**-14 */
+ /* raise inexact */
+ if (huge+x > one)
+ return one + x;
+ } else
+ k = 0;
+
+ /* x is now in primary range */
+ t = x*x;
+ if (k >= -125)
+ SET_FLOAT_WORD(twopk, 0x3f800000+(k<<23));
+ else
+ SET_FLOAT_WORD(twopk, 0x3f800000+((k+100)<<23));
+ c = x - t*(P1+t*P2);
+ if (k == 0)
+ return one - ((x*c)/(c-(float)2.0)-x);
+ y = one - ((lo-(x*c)/((float)2.0-c))-hi);
+ if (k < -125)
+ return y*twopk*twom100;
+ if (k == 128)
+ return y*2.0F*0x1p127F;
+ return y*twopk;
+}