graphing_functions.cpp

#include <cmath>

#include "Graph.h"
#include "Simple_window.h"

using namespace Graph_lib;

double one(double) { return 1; }
double slope(double x) { return x / 2; }
double square(double x) { return x * x; }
double sloping_cos(double x) { return cos(x) + slope(x); }

// graphing simple functions
int main() {
    const int xmax = 600;           // window size
    const int ymax = 400;

    const int x_orig = xmax / 2;    // position of (0,0) is center of window
    const int y_orig = ymax / 2;
    const Point orig(x_orig, y_orig);

    const int r_min = -10;          // range [-10,11)
    const int r_max = 11;

    const int n_points = 400;       // number of points used in range

    const int x_scale = 30;         // scaling factors
    const int y_scale = 30;

    Simple_window win(Point(100, 100), xmax, ymax, "Function graphing");

    Function s(one, r_min, r_max, orig, n_points, x_scale, y_scale);
    Function s2(slope, r_min, r_max, orig, n_points, x_scale, y_scale);
    Function s3(square, r_min, r_max, orig, n_points, x_scale, y_scale);

    win.attach(s);
    win.attach(s2);
    win.attach(s3);
    win.wait_for_button();

    Text ts(Point(100, y_orig - 40), "one");
    Text ts2(Point(100, y_orig + y_orig / 2 - 20), "x/2");
    Text ts3(Point(x_orig - 100, 20), "x*x");
    win.attach(ts);
    win.attach(ts2);
    win.attach(ts3);
    win.set_label("Function graphing: label functions");
    win.wait_for_button();

    const int xlength = xmax - 40;  // make the axis a bit smaller than the window
    const int ylength = ymax - 40;

    Axis x(Axis::x, Point(20, y_orig), xlength, xlength / x_scale, "one notch == 1");
    Axis y(Axis::y, Point(x_orig, ylength + 20), ylength, ylength / y_scale, "one notch == 1");
    win.attach(x);
    win.attach(y);
    win.set_label("Function graphing: use axis");
    win.wait_for_button();

    x.label.move(-160, 0);
    x.set_color(Color::red);
    y.set_color(Color::red);

    // Function s5(sloping_cos, r_min, r_max, orig, n_points, x_scale, y_scale);
    Function s5([](double x) { return cos(x) + slope(x); }, r_min, r_max, orig, n_points, x_scale, y_scale);
    win.attach(s5);

    Function f1(sin, r_min, r_max, orig, n_points, x_scale, y_scale);       // sin()
    Function f2(cos, r_min, r_max, orig, n_points, x_scale, y_scale);       // cos()
    Function f3(log, 0.000001, r_max, orig, n_points, x_scale, y_scale);    // log() logarithm, base e
    Function f4(exp, r_min, r_max, orig, n_points, x_scale, y_scale);       // exp() exponential e^x
    f1.set_color(Color::blue);
    f2.set_color(Color::blue);
    f3.set_color(Color::dark_green);
    f4.set_color(Color::dark_green);
    win.attach(f1);
    win.attach(f2);
    win.attach(f3);
    win.attach(f4);
    win.set_label("Function graphing: more functions");
    win.wait_for_button();
    return 0;
}