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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