diff options
author | Eric Andersen <andersen@codepoet.org> | 2001-05-10 00:40:28 +0000 |
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committer | Eric Andersen <andersen@codepoet.org> | 2001-05-10 00:40:28 +0000 |
commit | 1077fa4d772832f77a677ce7fb7c2d513b959e3f (patch) | |
tree | 579bee13fb0b58d2800206366ec2caecbb15f3fc /libm/float/exp10f.c | |
parent | 22358dd7ce7bb49792204b698f01a6f69b9c8e08 (diff) |
uClibc now has a math library. muahahahaha!
-Erik
Diffstat (limited to 'libm/float/exp10f.c')
-rw-r--r-- | libm/float/exp10f.c | 115 |
1 files changed, 115 insertions, 0 deletions
diff --git a/libm/float/exp10f.c b/libm/float/exp10f.c new file mode 100644 index 000000000..c7c62c567 --- /dev/null +++ b/libm/float/exp10f.c @@ -0,0 +1,115 @@ +/* exp10f.c + * + * Base 10 exponential function + * (Common antilogarithm) + * + * + * + * SYNOPSIS: + * + * float x, y, exp10f(); + * + * y = exp10f( x ); + * + * + * + * DESCRIPTION: + * + * Returns 10 raised to the x power. + * + * Range reduction is accomplished by expressing the argument + * as 10**x = 2**n 10**f, with |f| < 0.5 log10(2). + * A polynomial approximates 10**f. + * + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE -38,+38 100000 9.8e-8 2.8e-8 + * + * ERROR MESSAGES: + * + * message condition value returned + * exp10 underflow x < -MAXL10 0.0 + * exp10 overflow x > MAXL10 MAXNUM + * + * IEEE single arithmetic: MAXL10 = 38.230809449325611792. + * + */ + +/* +Cephes Math Library Release 2.2: June, 1992 +Copyright 1984, 1987, 1988, 1992 by Stephen L. Moshier +Direct inquiries to 30 Frost Street, Cambridge, MA 02140 +*/ + + +#include <math.h> + +static float P[] = { + 2.063216740311022E-001, + 5.420251702225484E-001, + 1.171292686296281E+000, + 2.034649854009453E+000, + 2.650948748208892E+000, + 2.302585167056758E+000 +}; + +/*static float LOG102 = 3.01029995663981195214e-1;*/ +static float LOG210 = 3.32192809488736234787e0; +static float LG102A = 3.00781250000000000000E-1; +static float LG102B = 2.48745663981195213739E-4; +static float MAXL10 = 38.230809449325611792; + + + + +extern float MAXNUMF; + +float floorf(float), ldexpf(float, int), polevlf(float, float *, int); + +float exp10f(float xx) +{ +float x, px, qx; +short n; + +x = xx; +if( x > MAXL10 ) + { + mtherr( "exp10f", OVERFLOW ); + return( MAXNUMF ); + } + +if( x < -MAXL10 ) /* Would like to use MINLOG but can't */ + { + mtherr( "exp10f", UNDERFLOW ); + return(0.0); + } + +/* The following is necessary because range reduction blows up: */ +if( x == 0 ) + return(1.0); + +/* Express 10**x = 10**g 2**n + * = 10**g 10**( n log10(2) ) + * = 10**( g + n log10(2) ) + */ +px = x * LOG210; +qx = floorf( px + 0.5 ); +n = qx; +x -= qx * LG102A; +x -= qx * LG102B; + +/* rational approximation for exponential + * of the fractional part: + * 10**x - 1 = 2x P(x**2)/( Q(x**2) - P(x**2) ) + */ +px = 1.0 + x * polevlf( x, P, 5 ); + +/* multiply by power of 2 */ +x = ldexpf( px, n ); + +return(x); +} |