From cc3e1d62352614353b5eb4f6b244598cabe3f674 Mon Sep 17 00:00:00 2001 From: Antonio Jimenez Pastor Date: Fri, 12 Oct 2018 14:56:37 +0200 Subject: [PATCH] Added a small guess function for transform DA-equation to DD-finite --- ajpastor/dd_functions/toDiffAlgebraic.py | 42 ++++++++++++++++++++- releases/diff_defined_functions__0.6.zip | Bin 122415 -> 122918 bytes ...f_defined_functions__0.6__18.10.12_14:56:36.zip | Bin 0 -> 122918 bytes 3 files changed, 41 insertions(+), 1 deletion(-) create mode 100644 releases/old/diff_defined_functions__0.6__18.10.12_14:56:36.zip diff --git a/ajpastor/dd_functions/toDiffAlgebraic.py b/ajpastor/dd_functions/toDiffAlgebraic.py index 9b9f885..04d8346 100644 --- a/ajpastor/dd_functions/toDiffAlgebraic.py +++ b/ajpastor/dd_functions/toDiffAlgebraic.py @@ -260,7 +260,47 @@ def inverse_DA(poly, vars=None): ## Computing the final equation return poly(**{str(g[i]): derivatives[i] for i in range(len(g))}).numerator(); - +def guess_DA_DDfinite(poly): + ''' + Method that tries to compute a DD-finite differential equation + for a DA-function with constant coefficients. + + It just tries all the possibilities. It uses the Composition class + to get the possibilities of the orders for the coefficients. + ''' + if(not poly.is_homogeneous()): + raise TypeError("We require a homogeneous polynomial"); + + S = poly.degree(); d = S - poly.parent().ngens() + 2; + + compositions = Compositions(S, length = d+1); + coeffs = [["a_%d_%d" %(i,j) for j in range(S)] for i in range(d+1)]; + R = ParametrizedDDRing(DFinite, sum(coeffs, [])); + R2 = R.to_depth(2); + coeffs = [[R.parameter(coeffs[i][j]) for j in range(S)] for i in range(d+1)]; + for c in compositions: + ## Building the parametrized guess + e = [R.element([coeffs[i][j] for j in range(c[i])] + [1],[1] + (c[i]-1)*[0]) for i in range(d+1)]; + f = R2.element(e); + + ## Computing the DA equation + poly2 = diff_to_diffalg(f); + + ## Comparing the algebraic equations + m = poly.monomials(); + m2 = poly2.monomials(); + + eqs = []; + for mon in m2: + if(mon in m): + eqs += [poly2.coefficient(mon) - poly.coefficient(mon)]; + else: + eqs += [poly2.coefficient(mon)]; + P = R.base_field.base(); eqs = [P(str(el)) for el in eqs]; + gb = ideal(eqs).groebner_basis(); + if(1 not in gb): + return f,gb; + raise ValueError("No relation of the coefficients found for the polynomial %s" %poly); #################################################################################################### #### PACKAGE ENVIRONMENT VARIABLES #################################################################################################### diff --git a/releases/diff_defined_functions__0.6.zip b/releases/diff_defined_functions__0.6.zip index 5c5445d6d831b66d3466bdc51cfc98fd9f3f1bcf..2e2f2d8e1170c3463070456329f5683be9330c1a 100644 GIT binary patch delta 8985 zcma)BcRW@98$ah>o9s)n_sYyn_P0p(%1UO|&ED%;MG7!Q5b7=?ly0Q@ncu%2r2 zyriV<Xj+3}4OG#DG$m6PZmSZDKt_whpCDOyLhuFycZ4q#LzB08tA30Z@gFfFRL&EMj8i zKg6;mmLf#w!cmr+g)rT4TKCO=YdSvN{lKpOG@dp9AKoIuv(12PK=VGu3>AfdvY6eJ zF_zuGM}#-woQvKOLBr?#v=drl3a^Kg>~mhtiJ;a 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