Kahan summation: Difference between revisions
Added Asymptote
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- simple addition: false
- using Kahan sum: true</pre>
=={{header|Asymptote}}==
{{trans|FreeBASIC}}
<syntaxhighlight lang="Asymptote">real a, b, c;
real KahanSum(real a, real b, real c) {
real sum = 0.0, y, t;
c = 0.0;
for (real i = 1; i <= a; ++i) {
y = i - c;
t = sum + y;
c = (t - sum) - y;
sum = t;
}
return sum;
}
real epsilon() {
real eps = 1;
while (1 + eps != 1) {
eps /= 2;
}
return eps;
}
a = 1.0;
b = epsilon();
c = -b;
real s = (a + b) + c;
real k = KahanSum(a, b, c);
real d = k - s;
write("Epsilon = " + string(b));
write("(a + b) + c = " + string(s));
write("Kahan sum = " + string(k));
write("Delta = " + string(d));</syntaxhighlight>
{{out}}
<pre>Epsilon = 1.11022302462516e-16
(a + b) + c = 1
Kahan sum = 1
Delta = 1.11022302462516e-16</pre>
=={{header|AWK}}==
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