Affine transformations are used to perform tranformations like translate, rotate, shear, scale, etc over vector spaces.
Class affine_tranformation has been implemented to be accomodated in namespace boost::astronomy::coordinate. It can apply tranformations to spherical, spherical_equatorial, and cartesian representations.
- scale
- shear
- translate
- rotate_x
- rotate_y
- rotate_z Note : Order in which transformations are applied does not matter except for order of rotation about each axis
After the above tranformations have been used according to neccessity, they need to be applied to the required coordinate using the transform function.
//An object of affine_transformation to store the transformation matrix
affine_transformation affine;
//required transformations are applied to the transformation matrix
affine.rotate_y(30);
affine.translate(5.6,4.4,3.7);
affine.scale(4.5,7.6,11.4);
//Creation of points to be transformed
auto point1 = make_cartesian_representation(3.0 * meters, 5.0 * si::kilo *meters, 4.0 * si::mega * meters);
auto point2 = make_spherical_representation(45.0 * bud::degrees, 45.0 * bud::degrees, 1.0 * meters);
auto point3 = make_spherical_equatorial_representation(3.0 * bud::degrees, 50.0 * bud::degrees, 40.0 * meters);
//tranformed points can be obtained through transform function
auto point4 = affine.transform(point1);
auto point5 = affine.transform(point2);
auto point6 = affine.transform(point3);