import mir.stat.transform: center;
import mir.math.sum: Summation;
import mir.ndslice.slice: sliced;
import mir.test: shouldApprox;

auto a = [  0.0,   1.0,   1.5,  2.0,  3.5, 4.25,
            2.0,   7.5,   5.0,  1.0,  1.5,  0.0].sliced;
auto b = [-0.75,   6.0, -0.25, 8.25, 5.75,  3.5,
           9.25, -0.75,   2.5, 1.25,   -1, 2.25].sliced;
auto x = a.center;
auto y = b.center;

CorrelationAccumulator!(double, CorrelationAlgo.assumeZeroMean, Summation.naive) v;
v.put(x, y);

v.covariance(true).shouldApprox == -5.5 / 12;
v.covariance(false).shouldApprox == -5.5 / 11;

v.correlation.shouldApprox == -0.0623684;

v.put(4.0, 3.0);
v.covariance(true).shouldApprox == 6.5 / 13;
v.covariance(false).shouldApprox == 6.5 / 12;

v.correlation.shouldApprox == 0.0628802;