How to use the pyromaths.outils.Priorites3.texify function in pyromaths

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github Pyromaths / pyromaths / src / pyromaths / ex / lycee / SecondDegre.py View on Github external
def tex_answer(self):
        exo = [r'\exercice*']
        exo.append(_(u'Déterminer les racines des polynômes :\\par'))
        noms = [r'P\,(x) &= ', r'Q\,(x) &= ', r'R\,(x) &= ']
        r = ''
        question = [[], [], []]
        for i in range(3):
            p = []
            m = Polynome(list(self.exercice[i])).ordonne()
            if factoriser('%r' % Polynome(m)):
                p = [factoriser('%r' % Polynome(m))]
                while factoriser(p[-1]):
                    p.append(factoriser(p[-1]))
            if p and eval(Priorites3.splitting(p[-1])[0]).degre() > 0:
                tmp = Priorites3.texify([Priorites3.splitting(p[j]) for j in range(len(p))])
                question[i].append('{$\\! \\begin{aligned}')
                question[i].append(noms[i] + str(Polynome(m, 'x')) + r'\\')
                question[i].append('\\\\\n'.join(['&=%s' % (tmp[j]) for j in range(len(tmp))]))
                question[i].append(r'\end{aligned}$}\par')
                lp = Priorites3.splitting(p[-1])
                racines = []
                for e in lp:
                    if e[:9] == 'Polynome(':
                        e = eval(e)
                        if len(e) == 2:
                            racines.append(str(Fraction(-e[1][0], e[0][0]).simplifie()))
                        else:
                            racines.append('0')
                if len(racines) > 1:
                    question[i].append(_(u'\\underline{Les racines de $%s$ sont }\\fbox{$%s$}') % (noms[i].rstrip(r' &= '), '$}\\underline{ et }\\fbox{$'.join(racines)))
                elif len(racines) == 1:
github Pyromaths / pyromaths / src / pyromaths / ex / troisiemes / affine.py View on Github external
ft( -3\\right) -2=\\dfrac{4\\times \\cancel{3}\\times -1}{\\cancel{3}\\times 1}-
            2=-4-2=-6', '\\psdot [dotsize=4.5pt,dotstyle=x](0, -2)', '\\psdot [dotsize=4.5pt
            ,dotstyle=x](-3, -6.0)']

        :rtype: list of string
        """
    u = coefdir(A, B)
    if isinstance(u, int) or u.d == 1:
        x1 = decimaux(B[0])
    else:
        B = (u.d, u.n + float(A[1]))
        if not dansrep(B, xmin, xmax, ymin, ymax):
            B = (-u.d, -u.n + float(A[1]))
        x1 = decimaux(str(B[0]))
    l = Priorites3.texify([Polynome([[u, 1], [A[1], 0]], "x")(B[0])])
    l.extend(Priorites3.texify(Priorites3.priorites(Polynome([[u, 1], [A[1], 0]], "x")(B[0]))))
    l = [u'Tracer la droite représentative ($d_' + str(i) + '$) de la fonction $' + f + ':x\\longmapsto ' + str(Polynome([[u, 1], [A[1], 0]], "x")) + '$.',
       'On sait que $' + f + '(0)=' + decimaux(str(A[1])) + '$ et $' + f + '(' + x1 + ')=' + "=".join(l) + "$.",
       '\\psdot [dotsize=4.5pt,dotstyle=x]' + str(A),
       '\\psdot [dotsize=4.5pt,dotstyle=x]' + str(B),
       ]
    return l
github Pyromaths / pyromaths / src / pyromaths / ex / troisiemes / factorisations.py View on Github external
shuffle(exo)
    lexo.append(exo[0](l[13:17], diff=diff.pop()))
    lexo.append(exo[1](l[17:21], diff=diff.pop()))

    exo = ["\\exercice", u"Factoriser chacune des expressions littérales suivantes :"]
    exo.append("\\begin{multicols}{2}")
    cor = ["\\exercice*", u"Factoriser chacune des expressions littérales suivantes :"]
    cor.append("\\begin{multicols}{2}")
    for i in range(len(lexo)):
        p = [lexo[i]]
        while True:
            fact = factoriser(p[-1])
            if fact:
                p.append(fact)
            else: break
        p = Priorites3.texify([Priorites3.splitting(p[j]) for j in range(len(p))])
        cor.append('\\\\\n'.join(['$%s=%s$' % (chr(i + 65), p[j]) for j in range(len(p) - 1)]))
        cor.append('\\\\')
        cor.append('\\fbox{$%s=%s$}\\\\\n' % (chr(i + 65), p[-1]))
    exo.append('\\\\\n'.join(['$%s=%s$' % (chr(i + 65), Priorites3.texify([Priorites3.splitting(lexo[i])])[0]) for i in range(len(lexo))]))
    exo.append("\\end{multicols}")
    cor.append("\\end{multicols}")
    return exo, cor