public void JacobiArcDoubleTest()
{
for (int i = 0; i < jacobiData.Length; i += 5)
{
var z = jacobiData[i];
var m = jacobiData[i + 1];
var cn = jacobiData[i + 2];
var sn = jacobiData[i + 3];
var arc = Jacobi.arccn(cn, m);
Assert.IsTrue(Math.Abs(arc - Math.Abs(z)) < 1e-14);
arc = Jacobi.arcsn(sn, m);
Assert.IsTrue(Math.Abs(arc - z) < 1e-14);
var f = Jacobi.arccnDouble(m);
arc = f(cn);
Assert.IsTrue(Math.Abs(arc - Math.Abs(z)) < 1e-14);
f = Jacobi.arcsnDouble(m);
arc = f(sn);
Assert.IsTrue(Math.Abs(arc - z) < 1e-14);
}
}
public void JacobiArccnComplexArgTest()
{
var z = new[]
{
new Complex(0.0115779438837883, 0.00215513498962569),
new Complex(0.0251305156397967, -0.0159972042786677),
new Complex(2.12623597863526, 0.480192562215063),
new Complex(1.8128943757431, -0.175402508876567),
new Complex(0.974889810203627, 0.317370944403016),
};
var m = new[]
{
.8287247467,
.9546547975,
.4158803949,
.7991371682,
.2226334592,
};
var ans = new[] {
"0.9999353004739177-0.0000249497100713 i",
"0.9998120824513089+0.0004018967006233 i",
"-0.2620696287961345-0.3671429875904256 i",
"0.2003469806496059+0.0828329851756354 i",
"0.6050679400137476-0.2419659452739375 i",
};
for (int i = 0; i < z.Length; i++)
{
var cn = Parse(ans[i]);
var arccn = Jacobi.arccn(cn, m[i]);
var ex = z[i];
Assert.IsTrue(Complex.Abs(arccn - ex) < 1e-13);
var f = Jacobi.arccnComplex(m[i]);
var a2 = f(cn);
Assert.AreEqual(arccn, a2);
}
}