Exemple #1
0
def factor(expression, variable = None, ensemble = None, decomposer_entiers = True):
    if isinstance(expression, (int, long, Integer)):
        if decomposer_entiers:
            return ProduitEntiers(*factorint(expression).iteritems())
        else:
            return expression


    elif isinstance(expression, Basic) and expression.is_polynomial():
        if variable is None:
            variable = extract_var(expression)
        if variable is None:
            # polynôme à plusieurs variables
            return factor_(expression)
        else:
            try:
                return poly_factor(expression, variable, ensemble)
            except NotImplementedError:
                if param.debug:
                    print_error()
                return expression
    resultat = together_(expression)
    if resultat.is_rational_function():
        num, den = resultat.as_numer_denom()
        if den != 1:
            return factor(num, variable, ensemble, decomposer_entiers)/factor(den, variable, ensemble, decomposer_entiers)
    else:
        resultat = auto_collect(resultat)
        if resultat.is_Mul:
            produit = 1
            for facteur in resultat.args:
                if facteur != 1:
                    produit *= factor(facteur, variable, ensemble, decomposer_entiers)
            return produit
        return resultat
Exemple #2
0
def factor(expression, variable=None, ensemble=None, decomposer_entiers=True):
    if isinstance(expression, (int, long, Integer)):
        if decomposer_entiers:
            return ProduitEntiers(*factorint(expression).iteritems())
        else:
            return expression

    elif isinstance(expression, Basic) and expression.is_polynomial():
        if variable is None:
            variable = extract_var(expression)
        if variable is None:
            # polynôme à plusieurs variables
            return factor_(expression)
        else:
            try:
                return poly_factor(expression, variable, ensemble)
            except NotImplementedError:
                if param.debug:
                    print_error()
                return expression
    resultat = together_(expression)
    if resultat.is_rational_function():
        num, den = resultat.as_numer_denom()
        if den != 1:
            return factor(num, variable,
                          ensemble, decomposer_entiers) / factor(
                              den, variable, ensemble, decomposer_entiers)
    else:
        resultat = auto_collect(resultat)
        if resultat.is_Mul:
            produit = 1
            for facteur in resultat.args:
                if facteur != 1:
                    produit *= factor(facteur, variable, ensemble,
                                      decomposer_entiers)
            return produit
        return resultat
Exemple #3
0
def together(expression):
    return cancel(together_(expression))
Exemple #4
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def together(expression):
    return cancel(together_(expression))