Révision 76

pobysoPythonSage/src/sageSLZ/sagePolynomialOperations.sage (revision 76)
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    """
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    pVariables = p.variables()
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    iVariable = pVariables[0]
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    tVaraible = pVariables[1]
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    tVariable = pVariables[1]
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    polynomialAtPower = P(1)
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    currentPolynomial = P(1)
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    pIdegree = p.degree(pVariables[0])
......
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    nAtPower = N^alpha
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    # We work from p^0 * N^alpha to p^alpha * N^0
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    for pPower in xrange(0, alpha + 1):
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        # pPower == 0 is a special case. We introduce all the monomials in
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        # i, those in t and the mixed one necessary to be able to introduce
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        # p and only a one monomial (our (arbitrary) choice is, at this point,
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        # to add i to it's maximum power in p.
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        # pPower == 0 is a special case. We introduce all the monomials but one
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        # in, those in t necessary to be able to introduce
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        # p. We arbitrary choose to introduce the highest degree monomial in i
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        # with p. We also introduce all the mixed i^k * t^l monomials with
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        # k < p.degree(i) and l <= p.degree(t)
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        if pPower == 0:
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            # iter1: power of i
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            # Notice how i^pIdegree is excluded.
......
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                # iter5: power of t.
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                for tPower in xrange(0, pTdegree + 1):
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                    if columnWidth != 0:
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                        print "->", spo_expression_as_string(iter1,
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                                                             iter5,
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                                                             iter0,
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                        print "->", spo_expression_as_string(iPower,
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                                                             tPower,
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                                                             pPower,
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                                                             alpha)
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                    currentExpression = iVariable^iPower * \
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                                        tVariable^tPower * nAtPower
......
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                                        polynomialAtPower
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                    pMonomials = currentPolynomial.monomials()
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                    pCoefficients = currentPolynomial.coefficients()
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                    add_polynomial_coeffs_to_matrix(pMonomials, pCoefficients, knownMonomials, protoMatrixRows, monomialLengthChars)
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                    spo_add_polynomial_coeffs_to_matrix(pMonomials, pCoefficients, knownMonomials, protoMatrixRows, monomialLengthChars)
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                # End iter5.
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            # End for iter1.
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......
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# End spo_add_polynomial_coeffs_to_matrix
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def spo_expression_as_string(powI, powT, powP, alpha):


  		





  
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    """


  		





  
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    Computes a string version of the i^k + t^l + p^m + N^n expression for


  		





  
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    output.


  		





  
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    """


  		





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    expressionAsString =""


  		





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    if powI != 0:


  		





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        expressionAsString += "i^" + str(powI)


  		












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