#!/usr/bin/python3
# -*- coding: utf-8 -*-

import os


def generate_circle_table(table, modulo, point=False):
    angle = 360 / modulo

    graphic.write('\\begin{tikzpicture}[rotate=90, scale=3, yscale=-1, line width=.01pt, draw=Black]\n')

    # Draw circle
    graphic.write('\\draw (0:0) circle (1);\n')

    # Draw the points
    if point is True:
        graphic.write(
            '''\\foreach \point in {{0, 1, ..., {modulo}}} {{\n
            \\fill (\point * {angle}:1) circle (.01);\n
            \\node [scale=.5] at (\point * {angle}:1.1) {{\point}};\n'''
            .format(
                modulo=modulo - 1,
                angle=angle
            )
        )
        graphic.write('}\n')

    # Draw the lines
    graphic.write('\draw')
    for point in range(modulo):
        graphic.write(' ({start_point}:1) -- ({end_point}:1)'.format(
            start_point=point * angle,
            end_point=((point * table) % modulo) * angle
        ))
    graphic.write(';\n')

    # Draw the legend
    graphic.write('\\node at (-1,0) [below] {{Table de ${table:.2f}$ modulo ${modulo:.0f}$}};\n'.format(
        table=table,
        modulo=modulo
    ).replace('.', '{,}'))

    graphic.write('\\end{tikzpicture}\n\n')


if __name__ == '__main__':
    try:
        table = float(input("Table ? "))
        modulo = int(input("Modulo ? "))

        with open('graphic.tex', 'w') as graphic:
            graphic.write('\\documentclass[multi=tikzpicture]{standalone}\n\n')
            graphic.write('\\usepackage[usenames, dvipsnames]{xcolor}\n')
            graphic.write('\\usepackage{tikz}\n\n')
            graphic.write('\\begin{document}\n\n')

            # Beautiful values: (380.5, 855), (280.5, 855), (567.98, 6743), (1000, 9648)
            generate_circle_table(table, modulo)

            graphic.write('\\end{document}\n')
    except IOError:
        print("Impossible d'écrire le fichier.")
        exit(1)

    os.system('buf_size=50000000 pdflatex graphic.tex && rm *.log *.aux')