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dawsn
Dawson's Integral.SYNOPSIS:
double x, y, dawsn();
y = dawsn(x);
DESCRIPTION:
Approximates the integral
x
-
2 | | 2
dawsn(x) = exp( -x ) | exp( t ) dt
| |
-
0
Three different rational approximations are employed, for the intervals 0 to 3.25; 3.25 to 6.25; and 6.25 up.
ACCURACY:
Relative error:
arithmetic domain # trials peak rms
IEEE 0,10 10000 6.9e-16 1.0e-16
DEC 0,10 6000 7.4e-17 1.4e-17