2D transformation

You will develop an OpenGL program that allow a user to perform 2D affine transformation, including translation, scaling, rotation, on a 2D object (e.g., a solid square), by selecting an transformation item from the popup menu. In this project, you can have two-layer menu as follows: • Translation – Horizontal increment – Horizontal decrement – Vertical increment – Vertical decrement • Scaling – Horizontal enlarging – Horizontal shrinking – Vertical enlarging – Vertical shrinking • Rotation – Clockwise – Counter-clockwise Your code will need to maintain several geometry parameters of an object, including horizontal and vertical translation, orientation, and scaling factors. You code should include a function (called menu), in which you should update the geometry parameters of the object. The object should be “complicated”, i.e., a composition of at least 2 OpenGL geometry primitives. The following parameters should be used for an individual 2D transformation: • 10 pixels for horizontal increment/decrement 2• 2 for horizontal enlarging, and 0.5 for horizontal shrinking • 20 ◦ for a rotation. students should explicitly construct a transformation matrix in order to perform a speci- fied 2D transformation to the object. The transformation matrix is represented as a one-dimensional array in OpenGL that is used as a parameter for the OpenGL function glMultMatrix() to update the current transformation matrix. students should also implement a simulation of moving the object. Specifically, the object is moved around a circle track clockwise and be back to its original position. So it is basically a task of performing a sequence of translations on the object.