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Diffstat (limited to 'src/math/expf.c')
-rw-r--r-- | src/math/expf.c | 95 |
1 files changed, 95 insertions, 0 deletions
diff --git a/src/math/expf.c b/src/math/expf.c new file mode 100644 index 00000000..a0eaa7a7 --- /dev/null +++ b/src/math/expf.c @@ -0,0 +1,95 @@ +/* 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; +} |