Examples of cc.redberry.core.transformations.symmetrization.SymmetrizeTransformation

Package cc.redberry.core.transformations.symmetrization

Examples of cc.redberry.core.transformations.symmetrization.SymmetrizeTransformation

cc.redberry.core.transformations.symmetrization.SymmetrizeTransformation
Gives a symmetrization of tensor with respect to specified indices under the specified symmetries. @author Dmitry Bolotin @author Stanislav Poslavsky @since 1.1.6

            int[] allIndices = addAll(allFreeVarIndices, allFreeArgIndices);
            SimpleIndices dIndices = IndicesFactory.createSimple(null, allIndices);
            SimpleTensor symmetric = simpleTensor("@!@#@##_AS@23@@#", dIndices);
            SimpleIndices allFreeVarIndicesI = IndicesFactory.createSimple(varIndices.getSymmetries(), allFreeVarIndices);
            Tensor derivative =
                    new SymmetrizeTransformation(allFreeVarIndicesI, true).transform(symmetric);


            derivative = applyIndexMapping(
                    derivative,
                    new Mapping(allIndices,
                            addAll(varIndices.getInverted().getAllIndices().copy(), allFreeArgIndices)),

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        this.result = indices.getSymmetries().isTrivial() ? result.build() : symmetrize(result.build());
    }


    private Tensor symmetrize(Tensor result) {
        //todo rewrite this slag
        result = new SymmetrizeTransformation(indices, false).transform(result);
        result = ExpandTransformation.expand(result);


        if (!(result instanceof Sum))
            return result;

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        this.result = indices.getSymmetries().isTrivial() ? result.build() : symmetrize(result.build());
    }


    private Tensor symmetrize(Tensor result) {
        //todo rewrite this slag
        result = new SymmetrizeTransformation(indices, false).transform(result);
        result = ExpandTransformation.expand(result);


        if (!(result instanceof Sum))
            return result;

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            int[] allIndices = addAll(allFreeVarIndices, allFreeArgIndices);
            SimpleIndices dIndices = IndicesFactory.createSimple(null, allIndices);
            SimpleTensor symmetric = simpleTensor("@!@#@##_AS@23@@#", dIndices);
            SimpleIndices allFreeVarIndicesI = IndicesFactory.createSimple(varIndices.getSymmetries(), allFreeVarIndices);
            Tensor derivative =
                    new SymmetrizeTransformation(allFreeVarIndicesI, true).transform(symmetric);


            derivative = applyIndexMapping(
                    derivative,
                    new Mapping(allIndices,
                            addAll(varIndices.getInverted().getAllIndices().copy(), allFreeArgIndices)),

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Related Classes of cc.redberry.core.transformations.symmetrization.SymmetrizeTransformation

cc.redberry.core.groups.permutations.PermutationGroup

cc.redberry.core.indexmapping.Mapping

cc.redberry.core.number.Complex

cc.redberry.core.number.Rational

cc.redberry.core.tensorgenerator.TensorGenerator

cc.redberry.core.transformations.DifferentiateTransformation$SymmetricDifferentiationRule

java.math.BigInteger

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