exp.c
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/*#ident "@(#)cfront:lib/complex/exp.c 1.3"*/
#include "complex.h"
#include "const.h"
complex
exp(complex z)
/*
The complex exponentiation function: e**z, e being 2.718281828...
In case of overflow, return ( HUGE, HUGE ).
In case of underflow return 0.
In case of ridiculous input to "sin" and "cos", return 0.
*/
{
complex answer;
double radius, sin_theta, cos_theta;
c_exception ex( "exp", z );
int write( int , char *, unsigned int );
#define EXPGOOD 1e7
if (z.im > EXPGOOD || z.im < -EXPGOOD)
{
ex.type = OVERFLOW;
if ( !complex_error( ex ))
errno = ERANGE;
return( ex.retval );
}
if (z.re < MIN_EXPONENT)
{
ex.type = UNDERFLOW;
if ( !complex_error( ex ))
errno = ERANGE;
return( ex.retval );
}
sin_theta = sin(z.im);
cos_theta = cos(z.im);
if (z.re > MAX_EXPONENT)
{
ex.type = OVERFLOW;
ex.retval.re = (cos_theta > 0) ? HUGE : -HUGE;
ex.retval.im = (sin_theta > 0) ? HUGE : -HUGE;
if ( !complex_error( ex ))
errno = ERANGE;
return( ex.retval );
}
else
radius = exp(z.re);
answer.re = radius * cos_theta;
answer.im = radius * sin_theta;
return answer;
}