#!/usr/bin/env python3

import matplotlib.pyplot as plt
import numpy as np


class Plot(object):
    """Show graphical drawing of lines from their equation."""

    def __init__(self):
        self.setXAxis()
        self.functs = []
        self.verts = []

    def prepare(self, line):
        """Add the given line to the plot.
        The line is not shown until the method show is called.

        Args:
            line: a triplet `(a, b, c)` representing the coefficients of the
                line of equation `ax + bx + c = 0`.
        """
        a, b, c = line
        if b == 0:
            if a == 0:
                raise ValueError('Not a line.')
            else:
                self.verts.append(line)
        else:
            self.functs.append(line)

    def setXAxis(self, xmin=-10, xmax=10):
        self.xmin = xmin
        self.xmax = xmax

    def reset(self):
        self.setXAxis()
        self.functs = []
        self.verts = []

    def plot(self, t, y, line):
        a, b, c = line
        plt.plot(t, y, label='%.4g*x + %.4g*y = %.4g' % (a, b, c))

    def draw(self):
        for a, b, c in self.functs:
            t = np.array([self.xmin, self.xmax])
            y = (-a * 1.0 / b) * t + (c * 1.0 / b)
            self.plot(t, y, (a, b, c))
        for a, b, c in self.verts:
            x = c / a
            self.plot([x, x], plt.ylim(), (a, b, c))
        plt.axis('tight')
        plt.legend()
        plt.title('Exercices sur les droites')
        plt.xlabel('x')
        plt.ylabel('y')
        plt.grid(True)

    def save(self, filename):
        self.draw()
        plt.savefig(filename)

    def show(self):
        self.draw()
        plt.show()


if __name__ == '__main__':
    p = Plot()
    p.prepare((1, 1, 3))
    p.prepare((-2, 1, -1))
    p.prepare((1, 0, -5))
    p.show()
    input()