plan9front/sys/src/libc/port/pow.c

116 lines
1.7 KiB
C

#include <u.h>
#include <libc.h>
static int
isodd(double v)
{
double iv;
if(modf(v, &iv) != 0)
return 0;
return (vlong)iv & 1;
}
double
pow(double x, double y) /* return x ^ y (exponentiation) */
{
double xy, y1, ye;
long i;
int ex, ey, flip;
/*
* Special cases.
* Checking early here prevents an infinite loop.
* We need to test if !isNaN() here because otherwise
* we trap.
*/
if(!isNaN(x) && x == 1.0)
return 1.0;
if(!isNaN(y) && y == 0.0)
return 1.0;
if(isNaN(x) || isNaN(y))
return NaN();
if(isInf(x, 1)){
if(y < 0)
return 0.0;
else
return Inf(1);
}else if(isInf(x, -1)){
if(y < 0)
return isodd(y) ? -0.0 : 0.0;
else if(y > 0)
return isodd(y) ? Inf(-1) : Inf(1);
}
if(isInf(y, 1)){
if(x == -1.0)
return 1.0;
else if(fabs(x) < 1.0)
return 0.0;
else if(fabs(x) > 1.0)
return Inf(1);
}else if(isInf(y, -1)){
if(x == -1.0)
return 1.0;
else if(fabs(x) < 1.0)
return Inf(1);
else if(fabs(x) > 1.0)
return 0.0;
}
flip = 0;
if(y < 0.){
y = -y;
flip = 1;
}
y1 = modf(y, &ye);
if(y1 != 0.0){
if(x <= 0.)
goto zreturn;
if(y1 > 0.5) {
y1 -= 1.;
ye += 1.;
}
xy = exp(y1 * log(x));
}else
xy = 1.0;
if(ye > 0x7FFFFFFF){ /* should be ~0UL but compiler can't convert double to ulong */
if(x <= 0.){
zreturn:
if(x==0. && !flip)
return 0.;
return NaN();
}
if(flip){
if(y == .5)
return 1./sqrt(x);
y = -y;
}else if(y == .5)
return sqrt(x);
return exp(y * log(x));
}
x = frexp(x, &ex);
ey = 0;
i = ye;
if(i)
for(;;){
if(i & 1){
xy *= x;
ey += ex;
}
i >>= 1;
if(i == 0)
break;
x *= x;
ex <<= 1;
if(x < .5){
x += x;
ex -= 1;
}
}
if(flip){
xy = 1. / xy;
ey = -ey;
}
return ldexp(xy, ey);
}