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/**********
Copyright 1991 Regents of the University of California. All rights reserved.
Author: 1987 Kartikeya Mayaram, U. C. Berkeley CAD Group
**********/
#include "ngspice/ngspice.h"
#include "ngspice/numconst.h"
#ifndef HAVE_ERFC
/* erfc computes the erfc(x) the code is from sedan's derfc.f */
double erfc (double x)
{
double sqrtPi, n, temp1, xSq, sum1, sum2;
sqrtPi = sqrt( PI );
x = ABS( x );
n = 1.0;
xSq = 2.0 * x * x;
sum1 = 0.0;
if ( x > 3.23 ) {
/* asymptotic expansion */
temp1 = exp( - x * x ) / ( sqrtPi * x );
sum2 = temp1;
while ( sum1 != sum2 ) {
sum1 = sum2;
temp1 = -1.0 * ( temp1 / xSq );
sum2 += temp1;
n += 2.0;
}
return( sum2 );
}
else {
/* series expansion for small x */
temp1 = ( 2.0 / sqrtPi ) * exp( - x * x ) * x;
sum2 = temp1;
while ( sum1 != sum2 ) {
n += 2.0;
sum1 = sum2;
temp1 *= xSq / n;
sum2 += temp1;
}
return( 1.0 - sum2 );
}
}
/* From C. Hastings, Jr., Approximations for digital computers,
Princeton Univ. Press, 1955.
Approximation accurate to within 1.5E-7
(making some assumptions about your machine's floating point mechanism)
*/
double
ierfc(double x)
{
double t, z;
t = 1/(1 + 0.3275911*x);
z = 1.061405429;
z = -1.453152027 + t * z;
z = 1.421413741 + t * z;
z = -0.284496736 + t * z;
z = 0.254829592 + t * z;
z = exp(-x*x) * t * z;
return(z);
}
#else
int Dummy_Symbol_5;
#endif