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Diffstat (limited to 'src/math/logf.c')
-rw-r--r-- | src/math/logf.c | 89 |
1 files changed, 89 insertions, 0 deletions
diff --git a/src/math/logf.c b/src/math/logf.c new file mode 100644 index 00000000..285ee615 --- /dev/null +++ b/src/math/logf.c @@ -0,0 +1,89 @@ +/* origin: FreeBSD /usr/src/lib/msun/src/e_logf.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 +ln2_hi = 6.9313812256e-01, /* 0x3f317180 */ +ln2_lo = 9.0580006145e-06, /* 0x3717f7d1 */ +two25 = 3.355443200e+07, /* 0x4c000000 */ +/* |(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 */ + +static const float zero = 0.0; + +float logf(float x) +{ + float hfsq,f,s,z,R,w,t1,t2,dk; + int32_t k,ix,i,j; + + GET_FLOAT_WORD(ix, x); + + k = 0; + if (ix < 0x00800000) { /* x < 2**-126 */ + if ((ix & 0x7fffffff) == 0) + return -two25/zero; /* log(+-0)=-inf */ + if (ix < 0) + return (x-x)/zero; /* log(-#) = NaN */ + /* subnormal number, scale up x */ + k -= 25; + x *= two25; + GET_FLOAT_WORD(ix, x); + } + if (ix >= 0x7f800000) + return x+x; + k += (ix>>23) - 127; + ix &= 0x007fffff; + i = (ix + (0x95f64<<3)) & 0x800000; + SET_FLOAT_WORD(x, ix|(i^0x3f800000)); /* normalize x or x/2 */ + k += i>>23; + f = x - (float)1.0; + if ((0x007fffff & (0x8000 + ix)) < 0xc000) { /* -2**-9 <= f < 2**-9 */ + if (f == zero) { + if (k == 0) + return zero; + dk = (float)k; + return dk*ln2_hi + dk*ln2_lo; + } + R = f*f*((float)0.5 - (float)0.33333333333333333*f); + if (k == 0) + return f-R; + dk = (float)k; + return dk*ln2_hi - ((R-dk*ln2_lo)-f); + } + s = f/((float)2.0+f); + dk = (float)k; + z = s*s; + i = ix-(0x6147a<<3); + w = z*z; + j = (0x6b851<<3)-ix; + t1= w*(Lg2+w*Lg4); + t2= z*(Lg1+w*Lg3); + i |= j; + R = t2 + t1; + if (i > 0) { + hfsq = (float)0.5*f*f; + if (k == 0) + return f - (hfsq-s*(hfsq+R)); + return dk*ln2_hi - ((hfsq-(s*(hfsq+R)+dk*ln2_lo))-f); + } else { + if (k == 0) + return f - s*(f-R); + return dk*ln2_hi - ((s*(f-R)-dk*ln2_lo)-f); + } +} |