From 972211da5b569e167c43c9e7df75c2ddec510bbb Mon Sep 17 00:00:00 2001 From: Antonio Jimenez Pastor Date: Mon, 15 Oct 2018 11:12:18 +0200 Subject: [PATCH] Added optional aprameter in diff_to_diffalg and toDifferentiallyAlgebraic_Below to allow the user decide when to print the final matrix or not. Fixed an error in method inverse_DA that used by default the variables returned by method diff_to_diffalg in the reversed order. --- ajpastor/dd_functions/toDiffAlgebraic.py | 23 ++++++++++++++++----- releases/diff_defined_functions__0.6.zip | Bin 122415 -> 122695 bytes ...f_defined_functions__0.6__18.10.15_11:12:18.zip | Bin 0 -> 122695 bytes 3 files changed, 18 insertions(+), 5 deletions(-) create mode 100644 releases/old/diff_defined_functions__0.6__18.10.15_11:12:18.zip diff --git a/ajpastor/dd_functions/toDiffAlgebraic.py b/ajpastor/dd_functions/toDiffAlgebraic.py index 9b9f885..6e2c98f 100644 --- a/ajpastor/dd_functions/toDiffAlgebraic.py +++ b/ajpastor/dd_functions/toDiffAlgebraic.py @@ -119,10 +119,12 @@ def fromInfinityPolynomial_toFinitePolynomial(poly): parent = PolynomialRing(base, gens); return parent(str(poly)); -def toDifferentiallyAlgebraic_Below(poly): +def toDifferentiallyAlgebraic_Below(poly, _debug=False): ''' Method that receives a polynomial with variables y_0,...,y_m with coefficients in some ring DD(R) and reduce it to a polynomial with coefficients in R. + + The optional input '_debug' allow the user to print extra information as the matrix that the determinant is computed. ''' ### Preprocessing the input parent = poly.parent(); @@ -204,10 +206,21 @@ def toDifferentiallyAlgebraic_Below(poly): rows += [row for row in matrix_of_dMovement(C, vector(goal_ring, dict_to_vectors[el]), infinite_derivative, S)]; M = Matrix(rows); - print M; + if(_debug): print M; return M.determinant().numerator(); -def diff_to_diffalg(func): +def diff_to_diffalg(func, _debug=False): + ''' + Method that compute an differentially algebraic equation for the obect func. + This objet may be any element in QQ(x) or an element in some DDRing. In the first case + the equation returned is the simple "y_0 - func". In the latter, we compute the differential + equation using the linear differential representation of the obect. + + The result is always a polynomial with variables "y_*" where the number in the index + represent the derivative. + + The optional argument _debug allows the user to see during execution more data of the computation. + ''' try: parent = func.parent(); except AttributeError: @@ -217,7 +230,7 @@ def diff_to_diffalg(func): R = InfinitePolynomialRing(parent.base(), "y"); p = sum([R("y_%d" %i)*func[i] for i in range(func.getOrder()+1)], R.zero()); for i in range(parent.depth()-1): - p = toDifferentiallyAlgebraic_Below(p); + p = toDifferentiallyAlgebraic_Below(p, _debug); return p; else: R = PolynomialRing(PolynomialRing(QQ,x).fraction_field, "y_0"); @@ -247,7 +260,7 @@ def inverse_DA(poly, vars=None): ## Getting the list of variables if(vars is None): - g = poly.parent().gens(); + g = list(poly.parent().gens()); g.reverse(); else: if(any(v not in poly.parent().gens())): raise TypeError("The variables given are not in the polynomial ring"); diff --git a/releases/diff_defined_functions__0.6.zip b/releases/diff_defined_functions__0.6.zip index 5c5445d6d831b66d3466bdc51cfc98fd9f3f1bcf..68d494f1e628a56f635a7a32735219b01dd5df51 100644 GIT binary patch delta 4582 zcmY*dWmr^e7o9UhcZ0wXbLkMIOBz99Kt!5Bkd_vt84S85Mx;~jP(#Sjtu%;SX^;?U z0Z9e%gVFD~-*=wpJ!kE;_g?RQ&-t}ZRSRKn8zH%Y4g`+`bah3W=_ix36Mi%6vAA5x z?*)>rSRulOmxwtzT{>A*IQa+v@0cz{4lsZ?*ml&$1FiTtphp<_8%&b1{RXGhB?P!s zJ`=@nrUsf#f@2K%f_|soUzY%I456qZ9^`U>6fFs^ex;n`h& znPKLK`YUqB^6g!-Wz@I%%>tF4PSJ~tnmC~XK(Er=!(mu2od|`d$KXT6{I9k(*4gNk zhVYE+5F=)u=$(~=(CN79)?%SYC8yfz3WLiUId;yRrmw1W%&KoZ*ycTZnqrzh!i_>^ z-gL~?jZKT0u&?JIP*}}4U|M-;m5V;TEACAW;dNz9Z5csJEKqEr30*-C`M(!v55f>7 zFrBQl-QkX)^H5u@CF@Dcd&O}txDXTgdIo#n78Im~uDO5a$YvO<(-N#E-_;Rc=xvQu z%Ry_T9%z@0J}wT89kkD~OiP3@YTzRWLw|I(-#kd1kJ2#XimRHe`5b%pz*w+T#

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