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#include <stdio.h>

int main() {
    // Open a file to write displacement and velocity data
    FILE *outputFile = fopen("motion_data.txt", "w");
    if (!outputFile) {
        fprintf(stderr, "Failed to create data file.\n");
        return 1;
    }

    // Simulate motion for 10 seconds and calculate displacement and velocity, while writing data to the file
    double x = 0.2;  // Initial displacement
    double v = 0.0;  // Initial velocity
    double dt = 0.01; // Time step
    double t = 0.0;  // Time

    while (t <= 10.0) {
        double acceleration = (-10.0 * x - 0.5 * v) / 1.0; // Modified system parameters here
        v += acceleration * dt;
        x += v * dt;

        fprintf(outputFile, "%lf %lf %lf\n", t, x, v);

        t += dt;
    }

    // Close the data file
    fclose(outputFile);

    // Start a Gnuplot process using popen
    FILE *gnuplotPipe = popen("gnuplot -persistent", "w");
    if (!gnuplotPipe) {
        fprintf(stderr, "Failed to start Gnuplot.\n");
        return 1;
    }

    // Use Gnuplot plotting commands, specify font and output as PNG
    fprintf(gnuplotPipe, "set terminal pngcairo enhanced font 'default,10' size 800,400\n");
    fprintf(gnuplotPipe, "set output 'motion_plot.png'\n");
    fprintf(gnuplotPipe, "set title 'Displacement and Velocity vs. Time'\n");
    fprintf(gnuplotPipe, "set xlabel 'Time (s)'\n");
    fprintf(gnuplotPipe, "set ylabel 'Displacement (m)'\n");
    fprintf(gnuplotPipe, "plot 'motion_data.txt' using 1:2 with lines lw 2 title 'Displacement', \
                             'motion_data.txt' using 1:3 with lines lw 2 title 'Velocity'\n");

    // Close the Gnuplot process
    fprintf(gnuplotPipe, "exit\n");
    pclose(gnuplotPipe);

    return 0;
}
clear
cd downloads
cc gnuplot_ex1.c
./a.out
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