From ad769ea26112fa83409466f1b76d8314f712812a Mon Sep 17 00:00:00 2001 From: Antonio Jimenez Pastor Date: Tue, 4 Dec 2018 18:03:50 +0100 Subject: [PATCH] Fixed a bug in the computation of algebraic equation for functional inverses. --- ajpastor/dd_functions/toDiffAlgebraic.py | 28 ++++++++++++++++++--- releases/diff_defined_functions__0.6.zip | Bin 124728 -> 124876 bytes ...f_defined_functions__0.6__18.12.04_18:03:50.zip | Bin 0 -> 124876 bytes 3 files changed, 25 insertions(+), 3 deletions(-) create mode 100644 releases/old/diff_defined_functions__0.6__18.12.04_18:03:50.zip diff --git a/ajpastor/dd_functions/toDiffAlgebraic.py b/ajpastor/dd_functions/toDiffAlgebraic.py index ec4d207..92cb654 100644 --- a/ajpastor/dd_functions/toDiffAlgebraic.py +++ b/ajpastor/dd_functions/toDiffAlgebraic.py @@ -118,6 +118,22 @@ def fromInfinityPolynomial_toFinitePolynomial(poly): parent = PolynomialRing(base, gens); return parent(str(poly)); + +def fromFinitePolynomial_toInfinitePolynomial(poly): + parent = poly.parent(); + if(is_InfinitePolynomialRing(poly) and (not is_MPolynomialRing(parent))): + return poly; + + + names = [str(el) for el in poly.parent().gens()]; + pos = names[0].rfind("_"); + if(pos == -1): + return poly; + prefix = names[0][:pos]; + if(not all(el.find(prefix) == 0 for el in names)): + return poly; + R = InfinitePolynomialRing(parent.base(), prefix); + return R(str(poly)); def toDifferentiallyAlgebraic_Below(poly, _debug=False): ''' @@ -274,7 +290,7 @@ def inverse_DA(poly, vars=None): return poly(**{str(g[i]): derivatives[i] for i in range(len(g))}).numerator(); def func_inverse_DA(func, _debug=False): - equation = diff_to_diffalg(func, _debug=_debug); + equation = fromFinitePolynomial_toInfinitePolynomial(diff_to_diffalg(func, _debug=_debug)); if(_debug): print equation; @@ -285,9 +301,15 @@ def func_inverse_DA(func, _debug=False): quot = [FaaDiBruno_polynomials(i, parent)[0]/FaaDiBruno_polynomials(i,parent)[1] for i in range(n)]; coeffs = [el(**{str(parent.base().gens()[0]) : y[0]}) for el in equation.coefficients()]; - monomials = equation.monomials(); + monomials = [el(**{str(y[j]) : quot[j] for j in range(n)}) for el in equation.monomials()]; + + if(_debug): + print monomials; + print coeffs; + + sol = sum(monomials[i]*coeffs[i] for i in range(len(monomials))); - sol = sum(monomials[i](**{str(y[j]) : quot[j] for j in range(n)})*coeffs[i] for i in range(len(monomials))); + if(_debug): print sol; if(hasattr(sol, "numerator")): return parent(sol.numerator()); return parent(sol); diff --git a/releases/diff_defined_functions__0.6.zip b/releases/diff_defined_functions__0.6.zip index bed74e08dc5fe3e760c1856ce465375bd3e54130..eb70b331a66c116ec57fcc103e8406da1eefebb2 100644 GIT binary patch delta 6152 zcmY*dXH*kyx6KeB5)kPf4ZSz%9qC;J1JXfy?^Pgz6cN-=B+?O(9za6xRX}<#3eo~1 zC`~DXaDC1D-S6I6Yi2!X@3YT&o-^}f)@~ey439xb40OQwP|!bD2r`KTMi_`8v19l&9OsW=wf5CXZ7uiDms;CsEp+1g9ZZ-^ItR 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