public void Translating_product_point_is_equivalent_to_translating_each_factor_by_corresponding_subvector()
{
var untranslatedPoint1 = MockManifoldPoint();
var untranslatedPoint2 = MockManifoldPoint();
var untranslatedPoint3 = MockManifoldPoint();
var translatedPoint1 = MockManifoldPoint();
var translatedPoint2 = MockManifoldPoint();
var translatedPoint3 = MockManifoldPoint();
var man1 = MockManifold(2, untranslatedPoint1, new Vector(1, 2), translatedPoint1);
var man2 = MockManifold(3, untranslatedPoint2, new Vector(3, 4, 5), translatedPoint2);
var man3 = MockManifold(2, untranslatedPoint3, new Vector(6, 7), translatedPoint3);
var productMan = new ProductManifold(man1, man2, man3);
var productPnt = new ProductManifold.Point(untranslatedPoint1, untranslatedPoint2, untranslatedPoint3);
var expected = new ProductManifold.Point(translatedPoint1, translatedPoint2, translatedPoint3);
var actual = productMan.Translate(productPnt, new Vector(1, 2, 3, 4, 5, 6, 7));
Expect(actual, Is.InstanceOf <ProductManifold.Point>());
Expect(((ProductManifold.Point)actual).Factors.Count, Is.EqualTo(expected.Factors.Count));
Expect(((ProductManifold.Point)actual).Factors[0], Is.EqualTo(expected.Factors[0]));
Expect(((ProductManifold.Point)actual).Factors[1], Is.EqualTo(expected.Factors[1]));
Expect(((ProductManifold.Point)actual).Factors[2], Is.EqualTo(expected.Factors[2]));
}
public void GetTranslation_between_two_product_points_returns_concatenation_of_GetTranslation_on_invidividual_factors()
{
var untranslatedPoint1 = MockManifoldPoint();
var untranslatedPoint2 = MockManifoldPoint();
var untranslatedPoint3 = MockManifoldPoint();
var translatedPoint1 = MockManifoldPoint();
var translatedPoint2 = MockManifoldPoint();
var translatedPoint3 = MockManifoldPoint();
var man1 = MockManifold(2, untranslatedPoint1, new Vector(1, 2), translatedPoint1);
var man2 = MockManifold(3, untranslatedPoint2, new Vector(3, 4, 5), translatedPoint2);
var man3 = MockManifold(2, untranslatedPoint3, new Vector(6, 7), translatedPoint3);
var productMan = new ProductManifold(man1, man2, man3);
var from = new ProductManifold.Point(untranslatedPoint1, untranslatedPoint2, untranslatedPoint3);
var to = new ProductManifold.Point(translatedPoint1, translatedPoint2, translatedPoint3);
var expected = new Vector(1, 2, 3, 4, 5, 6, 7);
var actual = productMan.GetTranslation(to, from);
Expect(actual.Dimension, Is.EqualTo(expected.Dimension));
Expect((actual - expected).Norm(), Is.LessThan(_tolerance));
}
public void Dimension_is_sum_of_factor_dimensions()
{
var dim1 = 2;
var dim2 = 3;
var dim3 = 5;
var man1 = MockManifold(dim1);
var man2 = MockManifold(dim2);
var man3 = MockManifold(dim3);
var product = new ProductManifold(man1, man2, man3);
Expect(product.Dimension, Is.EqualTo(dim1 + dim2 + dim3));
}
public void Coordinate_indices_are_accumulated_sum_of_factor_dimensions()
{
var dim1 = 2;
var dim2 = 3;
var dim3 = 5;
var man1 = MockManifold(dim1);
var man2 = MockManifold(dim2);
var man3 = MockManifold(dim3);
var product = new ProductManifold(man1, man2, man3);
Expect(product.CoordinateIndex(0), Is.EqualTo(0));
Expect(product.CoordinateIndex(1), Is.EqualTo(dim1));
Expect(product.CoordinateIndex(2), Is.EqualTo(dim1 + dim2));
Expect(product.CoordinateIndex(3), Is.EqualTo(dim1 + dim2 + dim3));
}