# Pyromaths
#
# Un programme en Python qui permet de créer des fiches d'exercices types de
# mathématiques niveau collège ainsi que leur corrigé en LaTeX.
#
# Copyright (C) 2018 -- Louis Paternault (spalax+python@gresille.org)
#
# This program is free software; you can redistribute it and/or modify
# it under the terms of the GNU General Public License as published by
# the Free Software Foundation; either version 2 of the License, or
# (at your option) any later version.
#
# This program is distributed in the hope that it will be useful,
# but WITHOUT ANY WARRANTY; without even the implied warranty of
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
# GNU General Public License for more details.
#
# You should have received a copy of the GNU General Public License
# along with this program; if not, write to the Free Software
# Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA 02110-1301 USA
#

"""Équations du premier degré"""

import random

from pyromaths.ex import Jinja2Exercise
from pyromaths.outils.jinja2utils import facteur

class EquationPremierDegre63(Jinja2Exercise):
    """Résolution d'équations du premier degré à coefficients entiers."""

    tags = ['Troisième', 'Équation', 'Premier degré']

    def __init__(self, *args, **kwargs):
        super().__init__(*args, **kwargs)

        while True:
            a = random.choice([1, -1]) * random.randint(2, 9)
            b = random.choice([1, -1]) * random.randint(2, 9)
            c = random.choice([1, -1]) * random.randint(2, 9)
            d = random.choice([1, -1]) * random.randint(2, 9)

            if abs(a-c) == 1:
                # 1x ou -1x sera affiché à un moment ou à un autre. Nous excluons ce cas.
                continue
            if a == c:
                # Aucune solution, ou une infinité de solutions. Nous excluons ce cas.
                continue
            break

        self.context = {
            "a": a,
            "b": b,
            "c": c,
            "d": d,
            }

    @property
    def environment(self):
        environment = super().environment
        environment.filters.update({
            'facteur': facteur,
            })
        return environment