# Accelerating Simulation of Bouncing Balls

This example shows how to accelerate MATLAB algorithm execution using a generated MEX function. It uses the 'codegen' command to generate a MEX function for a complicated application that uses multiple MATLAB files. You can use 'codegen' to check that your MATLAB code is suitable for code generation and, in many cases, to accelerate your MATLAB algorithm. You can run the MEX function to check for run-time errors.

## Contents

## Prerequisites

There are no prerequisites for this example.

## Create a New Folder and Copy Relevant Files

The following code will create a folder in your current working folder (pwd). The new folder will contain only the files that are relevant for this example. If you do not want to affect the current folder (or if you cannot generate files in this folder), change your working folder.

## Run Command: Create a New Folder and Copy Relevant Files

```
coderdemo_setup('coderdemo_bouncing_balls');
```

## About the 'run_balls' Function

The run_balls.m function takes a single input to specify the number of bouncing balls to simulate. The simulation runs and plots the balls bouncing until there is no energy left and returns the state (positions) of all the balls.

```
type run_balls
```

% balls = run_balls(n) % Given 'n' number of balls, run a simulation until the balls come to a % complete halt (or when the system has no more kinetic energy). function balls = run_balls(n) %#codegen coder.extrinsic('fprintf'); % Copyright 2010-2013 The MathWorks, Inc. % Seeding the random number generator will guarantee that we get % precisely the same simulation every time we call this function. old_settings = rng(1283,'V4'); % The 'cdata' variable is a matrix representing the colordata bitmap which % will be rendered at every time step. cdata = zeros(400,600,'uint8'); % Setup figure windows im = setup_figure_window(cdata); % Get the initial configuration for 'n' balls. balls = initialize_balls(cdata, n); energy = 2; % Something greater than 1 iteration = 1; while energy > 1 % Clear the bitmap cdata(:,:) = 0; % Apply one iteration of movement [cdata,balls,energy] = step_function(cdata,balls); % Render the current state cdata = draw_balls(cdata, balls); iteration = iteration + 1; if mod(iteration,10) == 0 fprintf(1, 'Iteration %d\n', iteration); end refresh_image(im, cdata); end fprintf(1, 'Completed iterations: %d\n', iteration); % Restore RNG settings. rng(old_settings);

## Generate the MEX Function

First, generate a MEX function using the command `codegen` followed by the name of the MATLAB file to compile. Pass an example input (-args 0) to indicate that the generated MEX function will be called with an input of type double.

codegen run_balls -args 0

The 'run_balls' function calls other MATLAB functions, but you need to specify only the entry-point function when calling 'codegen'.

By default, 'codegen' generates a MEX function named 'run_balls_mex' in the current folder. This allows you to test the MATLAB code and MEX function and compare the results.

## Compare Results

Run and time the original 'run_balls' function followed by the generated MEX function.

tic, run_balls(50); t1 = toc; tic, run_balls_mex(50); t2 = toc;

Iteration 10 Iteration 20 Iteration 30 Iteration 40 Iteration 50 Iteration 60 Iteration 70 Iteration 80 Iteration 90 Iteration 100 Iteration 110 Iteration 120 Iteration 130 Iteration 140 Iteration 150 Iteration 160 Iteration 170 Iteration 180 Iteration 190 Iteration 200 Iteration 210 Iteration 220 Iteration 230 Iteration 240 Iteration 250 Iteration 260 Iteration 270 Iteration 280 Completed iterations: 281 Iteration 10 Iteration 20 Iteration 30 Iteration 40 Iteration 50 Iteration 60 Iteration 70 Iteration 80 Iteration 90 Iteration 100 Iteration 110 Iteration 120 Iteration 130 Iteration 140 Iteration 150 Iteration 160 Iteration 170 Iteration 180 Iteration 190 Iteration 200 Iteration 210 Iteration 220 Iteration 230 Iteration 240 Iteration 250 Iteration 260 Iteration 270 Iteration 280 Completed iterations: 281

Estimated speed up is:

```
fprintf(1, 'Speed up: x ~%2.1f\n', t1/t2);
```

Speed up: x ~4.5

## Clean Up

Remove files and return to original folder

## Run Command: Cleanup

cleanup