Unit test transformations and similarity
Unit tests for transformations and similarity can include the following scenarios:
1. Translation: Test whether an object is correctly translated by a given vector. This can be done by applying the translation matrix to the object and checking if the resulting coordinates match the expected translation.
2. Rotation: Test whether an object is correctly rotated by a given angle. This can be done by applying the rotation matrix to the object and checking if the resulting coordinates match the expected rotation.
3. Scaling: Test whether an object is correctly scaled by a given factor. This can be done by applying the scaling matrix to the object and checking if the resulting coordinates match the expected scaling.
4. Reflection: Test whether an object is correctly reflected across a given line. This can be done by applying the reflection matrix to the object and checking if the resulting coordinates match the expected reflection.
5. Similarity: Test whether two given objects are similar. This can be done by comparing the ratios of corresponding side lengths or angles between the two objects and checking if they are equal.
6. Composition of transformations: Test whether the correct transformation matrix is obtained when two or more transformations are composed. This can be done by applying the composed matrix to an object and checking if the resulting coordinates match the expected transformation.
It is important to test these transformations and similarity using a variety of input values, including edge cases and boundary conditions, to ensure that the implementation is robust and handles all possible scenarios correctly.