From 1077fa4d772832f77a677ce7fb7c2d513b959e3f Mon Sep 17 00:00:00 2001 From: Eric Andersen Date: Thu, 10 May 2001 00:40:28 +0000 Subject: uClibc now has a math library. muahahahaha! -Erik --- libm/float/exp2f.c | 116 +++++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 116 insertions(+) create mode 100644 libm/float/exp2f.c (limited to 'libm/float/exp2f.c') diff --git a/libm/float/exp2f.c b/libm/float/exp2f.c new file mode 100644 index 000000000..0de21decd --- /dev/null +++ b/libm/float/exp2f.c @@ -0,0 +1,116 @@ +/* exp2f.c + * + * Base 2 exponential function + * + * + * + * SYNOPSIS: + * + * float x, y, exp2f(); + * + * y = exp2f( x ); + * + * + * + * DESCRIPTION: + * + * Returns 2 raised to the x power. + * + * Range reduction is accomplished by separating the argument + * into an integer k and fraction f such that + * x k f + * 2 = 2 2. + * + * A polynomial approximates 2**x in the basic range [-0.5, 0.5]. + * + * + * ACCURACY: + * + * Relative error: + * arithmetic domain # trials peak rms + * IEEE -127,+127 100000 1.7e-7 2.8e-8 + * + * + * See exp.c for comments on error amplification. + * + * + * ERROR MESSAGES: + * + * message condition value returned + * exp underflow x < -MAXL2 0.0 + * exp overflow x > MAXL2 MAXNUMF + * + * For IEEE arithmetic, MAXL2 = 127. + */ + + +/* +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 +static char fname[] = {"exp2f"}; + +static float P[] = { + 1.535336188319500E-004, + 1.339887440266574E-003, + 9.618437357674640E-003, + 5.550332471162809E-002, + 2.402264791363012E-001, + 6.931472028550421E-001 +}; +#define MAXL2 127.0 +#define MINL2 -127.0 + + + +extern float MAXNUMF; + +float polevlf(float, float *, int), floorf(float), ldexpf(float, int); + +float exp2f( float xx ) +{ +float x, px; +int i0; + +x = xx; +if( x > MAXL2) + { + mtherr( fname, OVERFLOW ); + return( MAXNUMF ); + } + +if( x < MINL2 ) + { + mtherr( fname, UNDERFLOW ); + return(0.0); + } + +/* The following is necessary because range reduction blows up: */ +if( x == 0 ) + return(1.0); + +/* separate into integer and fractional parts */ +px = floorf(x); +i0 = px; +x = x - px; + +if( x > 0.5 ) + { + i0 += 1; + x -= 1.0; + } + +/* rational approximation + * exp2(x) = 1.0 + xP(x) + */ +px = 1.0 + x * polevlf( x, P, 5 ); + +/* scale by power of 2 */ +px = ldexpf( px, i0 ); +return(px); +} -- cgit v1.2.3