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(* ::Package:: *)
(* Copyright 2004-2010
Sascha Husa, Ian Hinder, Christiane Lechner, Barry Wardell
This file is part of Kranc.
Kranc is free software; you can redistribute it and/or modify
it under the terms of the GNU General Public License as published by
the Free Software Foundation; either version 2 of the License, or
(at your option) any later version.
Kranc is distributed in the hope that it will be useful,
but WITHOUT ANY WARRANTY; without even the implied warranty of
MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
GNU General Public License for more details.
You should have received a copy of the GNU General Public License
along with Kranc; if not, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*)
(****************************************************************************)
(* Wrapper providing tensor support to Kranc (from TensorTools or xTensor) *)
(****************************************************************************)
$KrancTensorPackage = "TensorToolsKranc`";
BeginPackage["KrancTensor`", {"Errors`", "KrancThorn`", "MapLookup`", "KrancGroups`",
"Kranc`", $KrancTensorPackage, "ConservationCalculation`",
"TensorTools`", "KrancGroups`", "Differencing`"}];
CreateKrancThornTT::usage = "Construct a Kranc thorn using tensor expressions.";
CreateKrancThornTT2::usage = "Construct a Kranc thorn using tensor expressions.";
(* FIXME: Move CreateGroupFromTensor here *)
Begin["`Private`"];
(* --------------------------------------------------------------------------
Tensor Tools
-------------------------------------------------------------------------- *)
CreateKrancThornTT[groups_, parentDirectory_, thornName_, opts___] :=
Module[{calcs, expCalcs, expGroups, options, derivs, expDerivs, reflectionSymmetries, declaredGroups, consCalcs, expConsCalcs},
InfoMessage[Terse, "Creating thorn "<>thornName];
InfoMessage[Terse, "Processing tensorial arguments"];
calcs = lookup[{opts}, Calculations];
consCalcs = lookupDefault[{opts}, ConservationCalculations, {}];
derivs = lookupDefault[{opts}, PartialDerivatives, {}];
Map[CheckCalculationTensors, calcs];
expCalcs = Map[makeCalculationExplicit, calcs];
expConsCalcs = Map[makeCalculationExplicit, consCalcs];
InfoMessage[Info, "Group definitions:", groups];
VerifyGroups[groups];
expDerivs = Flatten[Map[ExpandComponents,derivs],1];
expGroups = Map[makeGroupExplicit, groups];
options = Join[DeleteCases[{opts}, Calculations -> _], {Calculations -> expCalcs}];
options = mapReplace[options, Shorthands, ExpandComponents[lookup[options,Shorthands,{}]]];
options = Join[DeleteCases[options, ConservationCalculations -> _],
{ConservationCalculations -> expConsCalcs}];
options = Join[DeleteCases[options, PartialDerivatives -> _], {PartialDerivatives -> expDerivs}];
declaredGroups = lookupDefault[{opts}, DeclaredGroups, {}];
odeGroups = lookupDefault[{opts}, ODEGroups, {}];
evolutionTimelevels = lookupDefault[{opts}, EvolutionTimelevels, 3];
defaultEvolutionTimelevels = lookupDefault[{opts}, DefaultEvolutionTimelevels, evolutionTimelevels];
InfoMessage[Info, "Declared groups: " <> ToString[declaredGroups]];
InfoMessage[Info, "ODE groups: " <> ToString[odeGroups]];
InfoMessage[Terse, "Computing reflection symmetries"];
reflectionSymmetries = computeReflectionSymmetries[declaredGroups, groups];
InfoMessage[Info, "Reflection symmetries: ", reflectionSymmetries];
InfoMessage[Terse, "Creating (component-based) Kranc thorn"];
(* It is necessary to include the KrancThorn context here due to some annoying Needs[] dependency issue *)
KrancThorn`CreateKrancThorn[expGroups, parentDirectory, thornName,
Apply[Sequence, options], ReflectionSymmetries -> reflectionSymmetries]];
computeReflectionSymmetries[declaredGroups_, groups_] :=
Module[{variables, syms},
variables = variablesFromGroups[declaredGroups, groups];
syms = Flatten[Map[ReflectionSymmetries, variables], 1];
syms];
makeCalculationExplicit[calc_] :=
mapValueMapMultiple[calc,
{Shorthands -> ExpandComponents,
CollectList -> ExpandComponents,
Equations -> ExpandComponents,
PrimitiveEquations -> MakeExplicit,
ConservedEquations -> MakeExplicit,
Primitives -> MakeExplicit}];
(* DeleteDuplicates is not available in Mathematica before version 7 *)
deleteDuplicates[l_] :=
Tally[Join@l][[All, 1]];
makeGroupExplicit[g_] :=
Module[{variables, newVariables, newGroup},
variables = groupVariables[g];
newVariables = deleteDuplicates[ExpandComponents[variables]];
newGroup = SetGroupVariables[g, newVariables];
newGroup];
Options[CreateKrancThornTT2] = ThornOptions;
DefFn[CreateKrancThornTT2[thornName_String, opts:OptionsPattern[]] :=
Module[
{groups, pderivs, opts2, fdOrder = Global`fdOrder, PDstandard = Global`PDstandard},
groups = Map[CreateGroupFromTensor, OptionValue[Variables]];
pderivs =
Join[OptionValue[PartialDerivatives],
{
PDstandard[i_] ->
StandardCenteredDifferenceOperator[1,fdOrder/2,i],
PDstandard[i_, i_] ->
StandardCenteredDifferenceOperator[2,fdOrder/2,i],
PDstandard[i_, j_] ->
StandardCenteredDifferenceOperator[1,fdOrder/2,i] StandardCenteredDifferenceOperator[1,fdOrder/2,j]
}];
opts2 = mapReplaceAdd[{opts}, PartialDerivatives, pderivs];
opts2 = mapReplaceAdd[opts2, IntParameters, Join[lookup[opts2,IntParameters,{}],
{{Name -> fdOrder, Default -> 2, AllowedValues -> {2, 4}}}]];
opts2 = opts2 /. PD -> PDstandard;
CreateKrancThornTT[groups,OptionValue[ParentDirectory],thornName,
DeclaredGroups -> Map[groupName, groups],
Sequence@@opts2]]];
End[];
EndPackage[];
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