public void CrossProduct()
{
{
var v0 = new v8 <Motion>(1, 1, 1, 2, 2, 2);
var v1 = new v8 <Motion>(-1, -2, -3, -4, -5, -6);
var r0 = Math_.Cross(v0, v1);
var r1 = Math_.CPM(v0) * v1;
Assert.True(Math_.FEql(r0, r1));
}
{
var v0 = new v8 <Force>(1, 1, 1, 2, 2, 2);
var v1 = new v8 <Force>(-1, -2, -3, -4, -5, -6);
var r0 = Math_.Cross(v0, v1);
var r1 = Math_.CPM(v0) * v1;
Assert.True(Math_.FEql(r0, r1));
}
{ // Test: vx* == -Transpose(vx)
var rng = new Random(321);
var v = v8 <IVectorSpace> .Random(-5f, +5f, rng);
var m0 = Math_.CPM(v.Cast <Motion>()); // vx
var m1 = Math_.CPM(v.Cast <Force>()); // vx*
var m2 = Math_.Transpose(m1);
var m3 = (-m2).Cast <Motion, Motion>();
Assert.True(Math_.FEql(m0, m3));
}
}
public void DotProduct()
{
var a = new v8 <Motion>(+1, +2, +3, +4, +5, +6);
var b = new v8 <Force>(-1, -2, -3, -4, -5, -6);
var pwr0 = Math_.Dot(a, b);
var pwr1 = Math_.Dot(b, a);
Assert.True(Math_.FEql(pwr0, -91));
Assert.True(Math_.FEql(pwr1, -91));
}