The Utopian Coding Society (UCs)' is evaluating the how different programming languages handle pseudo-random number generation...

 

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The Utopian Coding Society (UCs)' is evaluating the how different programming languages handle pseudo-random number generation and very large values. You decided to contribute to this under- taking by creating a program to visualise the "randomness" of psuedo-random number generation methods. You decided to first analyse the Linear Congruential Generator (LCG). The formula for the LCG is: rn+1 (a * In c) mod m %3D where rn+1 is the next term, rn the previous term and a, c and m are constants. You must do the following: • Create a class called LCGenerator and place it in the csc2a.ucs.random package. • Create a method nextInt in LCGenerator, which must take no parameters, and must generate a random integer value using the LCG formula. • LCGenerator must have the constants A, C and M, as well as an integer seed value, as private attributes. • The values for the constants should be as provided in the next page. • The seed value must be set during creation (using a constructor) and must be used as ro when nextInt is called for the first time. • You must use the LCGenerator to generate random {x, y} coordinates which you must plot on a canvas. Constants for the Microsoft LCG formula A 214013, C = 2531011, M = 2^31 In order to plot the randomly generated coordinates, you must create a SimulationCanvas class in the csc2a.ucs.ui package in the following way: • SimulationCanvas must extend javafx.scene.canvas.Canvas and must have an ArrayList of Integer[] as a private attribute. One Integer[] must store one {x, y} coordinate. • Create a setPoints method which you will use to update the ArrayList. • Create a redrawCanvas method which you will use to draw the coordinates on a canvas using a GraphicsContext. • setPoints must call redrawCanvas after updating the ArrayList. Here is an example of how the points should be drawn on the canvas: Linear Congruential Generator Visualizer O X Plot Values Create a Main class and do the following: • Create an LCGenerator instance using a seed value of your choice and generate 10000 random {x, y} coordinates. • Note: Becuase the given formula can potentially generate integers that are larger than the maximum value for an integer in Java, it is possible for the nextInt method to return neg- ative integers in some cases. Therefore, after generating {x, y} coordinates, you must first check that they are both not negative before storing them (if one of the coordinates is neg- ative, you may simply skip to the next iteration. You not have to call nextInt again). • Note: Remember to mod the random number with the canvas' width (for x-coordinates) and height (for y-coordinates) to make sure that all your coordinates are within range. The Utopian Coding Society (UCs)' is evaluating the how different programming languages handle pseudo-random number generation and very large values. You decided to contribute to this under- taking by creating a program to visualise the "randomness" of psuedo-random number generation methods. You decided to first analyse the Linear Congruential Generator (LCG). The formula for the LCG is: rn+1 (a * In c) mod m %3D where rn+1 is the next term, rn the previous term and a, c and m are constants. You must do the following: • Create a class called LCGenerator and place it in the csc2a.ucs.random package. • Create a method nextInt in LCGenerator, which must take no parameters, and must generate a random integer value using the LCG formula. • LCGenerator must have the constants A, C and M, as well as an integer seed value, as private attributes. • The values for the constants should be as provided in the next page. • The seed value must be set during creation (using a constructor) and must be used as ro when nextInt is called for the first time. • You must use the LCGenerator to generate random {x, y} coordinates which you must plot on a canvas. Constants for the Microsoft LCG formula A 214013, C = 2531011, M = 2^31 In order to plot the randomly generated coordinates, you must create a SimulationCanvas class in the csc2a.ucs.ui package in the following way: • SimulationCanvas must extend javafx.scene.canvas.Canvas and must have an ArrayList of Integer[] as a private attribute. One Integer[] must store one {x, y} coordinate. • Create a setPoints method which you will use to update the ArrayList. • Create a redrawCanvas method which you will use to draw the coordinates on a canvas using a GraphicsContext. • setPoints must call redrawCanvas after updating the ArrayList. Here is an example of how the points should be drawn on the canvas: Linear Congruential Generator Visualizer O X Plot Values Create a Main class and do the following: • Create an LCGenerator instance using a seed value of your choice and generate 10000 random {x, y} coordinates. • Note: Becuase the given formula can potentially generate integers that are larger than the maximum value for an integer in Java, it is possible for the nextInt method to return neg- ative integers in some cases. Therefore, after generating {x, y} coordinates, you must first check that they are both not negative before storing them (if one of the coordinates is neg- ative, you may simply skip to the next iteration. You not have to call nextInt again). • Note: Remember to mod the random number with the canvas' width (for x-coordinates) and height (for y-coordinates) to make sure that all your coordinates are within range.

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Step1 create LCGeneratorJava and add below code Package csc2aucs random Public class LCGenerator Pri... View the full answer