Package cc.redberry.core.transformations.substitutions

Source Code of cc.redberry.core.transformations.substitutions.TensorFieldSubstitution

/*
* Redberry: symbolic tensor computations.
*
* Copyright (c) 2010-2012:
*   Stanislav Poslavsky   <stvlpos@mail.ru>
*   Bolotin Dmitriy       <bolotin.dmitriy@gmail.com>
*
* This file is part of Redberry.
*
* Redberry 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 3 of the License, or
* (at your option) any later version.
*
* Redberry 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 Redberry. If not, see <http://www.gnu.org/licenses/>.
*/
package cc.redberry.core.transformations.substitutions;

import cc.redberry.core.indexmapping.IndexMappingBuffer;
import cc.redberry.core.indexmapping.IndexMappings;
import cc.redberry.core.indices.Indices;
import cc.redberry.core.tensor.Tensor;
import cc.redberry.core.tensor.TensorField;
import cc.redberry.core.transformations.ApplyIndexMapping;
import cc.redberry.core.transformations.Transformation;
import cc.redberry.core.utils.TensorUtils;
import java.util.ArrayList;
import java.util.List;

/**
*
* @author Dmitry Bolotin
* @author Stanislav Poslavsky
*/
class TensorFieldSubstitution implements Transformation {

    final static SubstitutionProvider TENSOR_FIELD_PROVIDER = new SubstitutionProvider() {

        @Override
        public Transformation createSubstitution(Tensor from, Tensor to) {
            return new TensorFieldSubstitution((TensorField) from, to);
        }
    };
    private final TensorField from;
    private final Tensor to;
    private final boolean symbolic;

    private TensorFieldSubstitution(TensorField from, Tensor to) {
        this.from = from;
        this.to = to;
        this.symbolic = TensorUtils.isSymbolic(to);
    }

    @Override
    public Tensor transform(Tensor tensor) {
        SubstitutionIterator iterator = new SubstitutionIterator(tensor);
        Tensor current;
        OUT:
        while ((current = iterator.next()) != null) {
            if (!(current instanceof TensorField))
                continue;
            TensorField currentField = (TensorField) current;
            IndexMappingBuffer buffer = IndexMappings.simpleTensorsPort(from, currentField).take();
            if (buffer == null)
                continue;


            Indices[] fromIndices = from.getArgIndices(), currentIndices = currentField.getArgIndices();

            List<Transformation> transformations = new ArrayList<>();
            Tensor fArg;
            int[] cIndices, fIndices;
            int i;
            for (i = from.size() - 1; i >= 0; --i) {
                if (IndexMappings.mappingExists(current.get(i), from.get(i)))
                    continue;
                fIndices = fromIndices[i].getAllIndices().copy();
                cIndices = currentIndices[i].getAllIndices().copy();

                assert cIndices.length == fIndices.length;

                fArg = ApplyIndexMapping.applyIndexMapping(from.get(i), fIndices, cIndices, new int[0]);


                transformations.add(Substitutions.getTransformation(fArg, current.get(i)));
            }

            Tensor newTo;
            if (symbolic)
                newTo = to;
            else {
                int[] forbidden = new int[iterator.forbiddenIndices().size()];
                int c = -1;
                for (Integer f : iterator.forbiddenIndices())
                    forbidden[++c] = f;
                newTo = ApplyIndexMapping.applyIndexMapping(to, buffer, forbidden);
//                if (newTo != to)
                iterator.forbiddenIndices().addAll(TensorUtils.getAllIndicesNames(newTo));

            }

            for (Transformation transformation : transformations)
                newTo = transformation.transform(newTo);
            if (!symbolic) {
                int[] forbidden = new int[iterator.forbiddenIndices().size()];
                int c = -1;
                for (Integer f : iterator.forbiddenIndices())
                    forbidden[++c] = f;
                Tensor temp = newTo;
                newTo = ApplyIndexMapping.renameDummy(temp, forbidden);
                if (temp != newTo)
                    iterator.forbiddenIndices().addAll(TensorUtils.getAllIndicesNames(newTo));
            }

            iterator.set(newTo);
        }
        return iterator.result();
    }
}
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