Describe the animated sine curve

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Reference no: EM132628935

Assignment: Task 1: Animated Sine Curve

Write a Python program one.py with PyOpenGL to display an animation of sine function y = Asin(x+B), satifying the following requirements:

• The window application's size is (600, 600), and its upper-left corner is at (250, 250) on the screen;

• The window application's title is Animated Sine Curve.

• The ranges of x and y are [-4, 4] (x is in radians);

• The amplitude A is a random float in [1, 2], and it is updated each time the window application restarts;

• The phase shift B is a float; it is initialized as 0, and incremented by 0.01 each time the screen refreshes;

• The two axes are drawn in white, with an arrow towards the positive direction at the end of each axis;

• The sine curve is drawn in yellow.

• Orthogonal projection is used in this task.

The following figure illustrates the expected window application.

Task 2: Clamped B-Spline

Write a Python program two.py with PyOpenGL to display a clamped B-spline, satifying the following requirements:

• The window application's size is (550, 550), and its upper-left corner is at (150, 150) on the screen;

• The window application's title is Special B-Splines.

• The program reads a text file named control-points.txt, including an x,y coordinate pair in each line as a control point, in the same folder;

• Control points are drawn with size 4 in green.

• Based on the control points, a clamped B-spline is drawn.

• P(t)'s color, mixed by red and blue, depends on its curvature (R = curvature / 5, G = 0.0, B = 1 - curvature / 5);

• Curvature is clipped by [0, 5].

• Orthogonal projection is used in this task.

The following figure illustrates the expected window application, reading the sample control-points.txt provided.

Task 3: Hexagonal Pyramid

Write a Python program three.py with PyOpenGL to display a 3D hexagonal pyramid, satifying the following requirements:

• The window application's size is (400, 400), and its upper-left corner is at (100, 100) on the screen;

• The window application's title is Hexagonal Pyramid.

• The program reads a text file named pyramid-params.txt, including one line as x,y,z,H,R, in the same folder, where x, y and z are the coordinates of the top vertex v, H is the height, and R is the radius; we assume the top vertex v and the base centroid c are on the same vertical axis, and c is always under v; the distance between c and any base vertex vi is always R.

• Based on the above information, a hexagonal pyramid is drawn.

• All faces are randomly and differently colored, except for the base in white.

• When the key R is pressed, the radis increases by 0.01 and the hexagonal pyramid is redrawn.

• When the key H is pressed, the height decreases by 0.01 and the hexagonal pyramid is redrawn.

• The hexagonal pyramid is static by default; When the key X, Y or Z is pressed, the hexagonal pyramid toggles between being static and rotating 1 degree/refresh along the corresponding axis (i.e., the key X corresponds to the x axis), taking c as the origin.

• Perspective projection is used in this task (FoV is 90 degrees towards the y-axis; Camera looks at the origin and uses the y-axis direction as the up-vector).

The following figure illustrates the expected window application, reading the sample pyramid-params.txt provided.

Reference no: EM132628935

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