How to use the pyromaths.outils.Affichage.pTeX function in pyromaths

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github Pyromaths / pyromaths / src / pyromaths / ex / lycee / ExoPolynome.py View on Github external
def listeracines(a, b, delta, parentheses=False):
    '''renvoie racsimple,simplifie,formule_x1,x_1,formule_x2,x2'''
    '''avec x_10
       simplrac est True si racine de delta se simplifie'''
    a = int(a)
    b = int(b)
#     parenthesex1 = parenthesex2 = True  # par défaut
    # simplrac=True
    strx1 = "\\dfrac{-%s-\\sqrt{%s}}{2\\times %s}" % (pTeX(b), TeX(delta), pTeX(a))
    strx2 = "\\dfrac{-%s+\\sqrt{%s}}{2\\times %s}" % (pTeX(b), TeX(delta), pTeX(a))
    # #on a strx1
github Pyromaths / pyromaths / src / pyromaths / ex / lycee / ExoPolynome.py View on Github external
P0 = "%s-%s" % (var, pTeX(racines[0]))
        factorisation = [[P0, P0]]  # non simplifiée

        if 0 > racines[0]:
            P0 = X - racines[0]
            factorisation.append([P0, P0])
    else:  # delta>0
        simplrac, strx1, x1, strx2, x2 = listeracines(P[2], P[1], delta)
        if isinstance(x1, RacineDegre2):
            x1 = x1.simplifie()
            x2 = x2.simplifie()
        racines = [x1, x2]
        str_racines = [strx1, strx2]
        P1 = "%s-%s" % (var, pTeX(x1))
        P2 = "%s-%s" % (var, pTeX(x2))
        factorisation = [[P1, P2]]  # non simplifiée
        # Peut-on simplifier les parenthèses ?
        if x1.radicande == 0 and (x1.numerateur < 0 or x2.numerateur < 0):
            P1 = (X - x1)(var)
            P2 = (X - x2)(var)
            factorisation.append([P1, P2])
    return delta, simplrac, racines, str_racines, factorisation
github Pyromaths / pyromaths / src / pyromaths / ex / lycee / ExoPolynome.py View on Github external
def racines_degre2(P):
    """renvoie les racines d'un polynôme de degré 2"""
    from pyromaths.classes.Fractions import Fraction
    delta = int(P[1] ** 2 - 4 * P[2] * P[0])
    if delta == 0:
        x0 = eval(priorites('Fraction(-1, 2)*%r/%r' % (P[1], P[2]))[-1][0])
        if isinstance(x0, (Fraction, RacineDegre2)):
            liste_racines = [x0.simplifie()]
        else:
            liste_racines = [x0]
        liste_str_racines = ["\\dfrac{-%s}{2\\times %s}" % (pTeX(P[1]), pTeX(P[2]))]
        simplrac = [False]
    elif delta > 0:
        simplrac, strx1, x1, strx2, x2 = listeracines(P[2], P[1], delta, parentheses=False)
        liste_racines = [x1, x2]
        liste_str_racines = [strx1, strx2]
    else:
        simplrac = [False]
        liste_racines = liste_str_racines = []
    return delta, simplrac, liste_racines, liste_str_racines
    # delta
github Pyromaths / pyromaths / src / pyromaths / ex / lycee / ExoPolynome.py View on Github external
P0 = "%s-%s" % (var, pTeX(racines[0]))
        factorisation = [[P0, P0]]  # non simplifiée

        if 0 > racines[0]:
            P0 = X - racines[0]
            factorisation.append([P0, P0])
    else:  # delta>0
        simplrac, strx1, x1, strx2, x2 = listeracines(P[2], P[1], delta)
        if isinstance(x1, RacineDegre2):
            x1 = x1.simplifie()
            x2 = x2.simplifie()
        racines = [x1, x2]
        str_racines = [strx1, strx2]
        P1 = "%s-%s" % (var, pTeX(x1))
        P2 = "%s-%s" % (var, pTeX(x2))
        factorisation = [[P1, P2]]  # non simplifiée
        # Peut-on simplifier les parenthèses ?
        if x1.radicande == 0 and (x1.numerateur < 0 or x2.numerateur < 0):
            P1 = (X - x1)(var)
            P2 = (X - x2)(var)
            factorisation.append([P1, P2])
    return delta, simplrac, racines, str_racines, factorisation