import mir.test: shouldApprox;

cauchyPDF(-3.0).shouldApprox == 0.03183099;
cauchyPDF(-2.0).shouldApprox == 0.06366198;
cauchyPDF(-1.0).shouldApprox == 0.1591549;
cauchyPDF(0.0).shouldApprox == 0.3183099;
cauchyPDF(1.0).shouldApprox == 0.1591549;
cauchyPDF(2.0).shouldApprox == 0.06366198;
cauchyPDF(3.0).shouldApprox == 0.03183099;

// Can include location/scale
cauchyPDF(-3.0, 1, 2).shouldApprox == 0.03183099;
cauchyPDF(-2.0, 1, 2).shouldApprox == 0.04897075;
cauchyPDF(-1.0, 1, 2).shouldApprox == 0.07957747;
cauchyPDF(0.0, 1, 2).shouldApprox == 0.127324;
cauchyPDF(1.0, 1, 2).shouldApprox == 0.1591549;
cauchyPDF(2.0, 1, 2).shouldApprox == 0.127324;
cauchyPDF(3.0, 1, 2).shouldApprox == 0.07957747;