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2.12.15  Normal form for rational fractions : ratnormal

ratnormal rewrites an expression using it’s irreductible representation. The expression is viewed as a multivariate rational fraction with coefficients in ℚ (or ℚ[i]). The variables are generalized identifiers which are assumed to be algebraically independant. Unlike with normal, an algebraic extension is considered as a generalized identifier. Therefore ratnormal is faster but might miss some simplifications if the expression contains radicals or algebraically dependant transcendental functions.
Input :

ratnormal((x^3-1)/(x^2-1))

Output :

(x^2+x+1)/(x+1)

Input :

ratnormal((-2x^3+3x^2+5x-6)/(x^2-2x+1))

Output :

(-2*x^2+x+6)/(x-1)

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