Package cc.redberry.core.indices

Examples of cc.redberry.core.indices.Indices


     * @return {@code true} if specified tensors are mathematically (not programming) equal
     */
    public static boolean equals(Tensor u, Tensor v) {
        if (u == v)
            return true;
        Indices freeIndices = u.getIndices().getFree();
        if (!freeIndices.equalsRegardlessOrder(v.getIndices().getFree()))
            return false;
        int[] free = freeIndices.getAllIndices().copy();
        IndexMappingBuffer tester = new IndexMappingBufferTester(free, false);
        OutputPort<IndexMappingBuffer> mp = IndexMappings.createPortOfBuffers(tester, u, v);
        IndexMappingBuffer buffer;

        while ((buffer = mp.take()) != null)
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     * @param v tensor
     * @return {@code true} {@code true} if tensor u mathematically (not programming) equals to tensor v,
     *         {@code false} if they they differ only in the sign and {@code null} otherwise
     */
    public static Boolean compare1(Tensor u, Tensor v) {
        Indices freeIndices = u.getIndices().getFree();
        if (!freeIndices.equalsRegardlessOrder(v.getIndices().getFree()))
            return null;
        int[] free = freeIndices.getAllIndices().copy();
        IndexMappingBuffer tester = new IndexMappingBufferTester(free, false);
        IndexMappingBuffer buffer = IndexMappings.createPortOfBuffers(tester, u, v).take();
        if (buffer == null)
            return null;
        return buffer.getSign();
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    private TensorGeneratorUtils() {
    }

    public static Tensor[] allStatesCombinations(Tensor st) {

        Indices indices = st.getIndices().getFree();
        int[] indicesArray = indices.getAllIndices().copy();
        //lowering all indices
        IntArrayList metricIndices = new IntArrayList(),
                nonMetricIndices = new IntArrayList();

        for (int i = 0; i < indices.size(); ++i) {
            if (CC.isMetric(getType(indices.get(i))))
                metricIndices.add(getNameWithType(indices.get(i)));
            else
                nonMetricIndices.add(indices.get(i));
        }


        final int[] metricInds = metricIndices.toArray();
        ArrayList<Tensor> samples = new ArrayList<>(ArithmeticUtils.pow(2, metricInds.length));
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    private ProductContent calculateContent() {
        if (data.length == 0) {
            contentReference.resetReferent(ProductContent.EMPTY_INSTANCE);
            return ProductContent.EMPTY_INSTANCE;
        }
        final Indices freeIndices = indices.getFree();
        final int differentIndicesCount = (getIndices().size() + freeIndices.size()) / 2;

        //Names (names with type, see IndicesUtils.getNameWithType() ) of all indices in this multiplication
        //It will be used as index name -> index index [0,1,2,3...] mapping
        final int[] upperIndices = new int[differentIndicesCount], lowerIndices = new int[differentIndicesCount];
        //This is sorage for intermediate information about indices, used in the algorithm (see below)
        //Structure:
        //
        final long[] upperInfo = new long[differentIndicesCount], lowerInfo = new long[differentIndicesCount];

        //This is for generalization of algorithm
        //indices[0] == lowerIndices
        //indices[1] == lowerIndices
        final int[][] indices = new int[][]{lowerIndices, upperIndices};

        //This is for generalization of algorithm too
        //info[0] == lowerInfo
        //info[1] == lowerInfo
        final long[][] info = new long[][]{lowerInfo, upperInfo};

        //Pointers for lower and upper indices, used in algorithm
        //pointer[0] - pointer to lower
        //pointer[1] - pointer to upper
        final int[] pointer = new int[2];
        final short[] stretchIndices = calculateStretchIndices(); //for performance

        //Allocating array for results, one contraction for each tensor
        final TensorContraction[] contractions = new TensorContraction[data.length];
        //There is one dummy tensor with index -1, it represents fake
        //tensor contracting with whole Product to leave no contracting indices.
        //So, all "conractions" with this dummy "contraction" looks like a scalar
        //product. (sorry for English)
        final TensorContraction freeContraction = new TensorContraction((short) -1, new long[freeIndices.size()]);

        int state, index, i;

        //Processing free indices = creating contractions for dummy tensor
        for (i = 0; i < freeIndices.size(); ++i) {
            index = freeIndices.get(i);
            //Inverse state (because it is state of index at (??) dummy tensor,
            //contracted with this free index)
            state = 1 - IndicesUtils.getStateInt(index);
            //Important:
            info[state][pointer[state]] = dummyTensorInfo;
            indices[state][pointer[state]++] = IndicesUtils.getNameWithType(index);
        }

        int tensorIndex;
        for (tensorIndex = 0; tensorIndex < data.length; ++tensorIndex) {
            //Main algorithm
            Indices tInds = data[tensorIndex].getIndices();
            short[] diffIds = tInds.getDiffIds();
            for (i = 0; i < tInds.size(); ++i) {
                index = tInds.get(i);
                state = IndicesUtils.getStateInt(index);
                info[state][pointer[state]] = packToLong(tensorIndex, stretchIndices[tensorIndex], diffIds[i]);
                indices[state][pointer[state]++] = IndicesUtils.getNameWithType(index);
            }

            //Result allocation
            contractions[tensorIndex] = new TensorContraction(stretchIndices[tensorIndex], new long[tInds.size()]);
        }

        //Here we can use unstable sorting algorithm (all indices are different)
        ArraysUtils.quickSort(indices[0], info[0]);
        ArraysUtils.quickSort(indices[1], info[1]);
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    //            this.stretchIndices = stretchIndices;
    //        }
    //    }

    private static int hc(Tensor t, int[] inds) {
        Indices ind = t.getIndices().getFree();
        int h = 31;
        int ii;
        for (int i = ind.size() - 1; i >= 0; --i) {
            ii = IndicesUtils.getNameWithType(ind.get(i));
            if ((ii = Arrays.binarySearch(inds, ii)) >= 0)
                h ^= HashFunctions.JenkinWang32shift(ii);
        }
        return h;
    }
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            TIntHashSet freeIndices = new TIntHashSet(IndicesUtils.getIndicesNames(tensor.getIndices().getFree()));

            //now we need to uncontract dummies and free

            Indices factorIndices = new IndicesBuilder().append(factors).getIndices();
            TIntHashSet dummies = new TIntHashSet(IndicesUtils.getIntersections(
                    factorIndices.getUpper().copy(), factorIndices.getLower().copy()));
            SimpleIndices currentFactorIndices;
            IntArrayList from = new IntArrayList(), to = new IntArrayList();
            ArrayList<Tensor> kroneckers = new ArrayList<>();
            int j, index, newIndex;
            IndexGenerator generator = new IndexGenerator(TensorUtils.getAllIndicesNamesT(tensor).toArray());
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        return set;
    }

    public static void appendAllIndicesNamesT(Tensor tensor, TIntHashSet set) {
        if (tensor instanceof SimpleTensor) {
            Indices ind = tensor.getIndices();
            set.ensureCapacity(ind.size());
            final int size = ind.size();
            for (int i = 0; i < size; ++i)
                set.add(IndicesUtils.getNameWithType(ind.get(i)));
        } else if (tensor instanceof Power) {
            appendAllIndicesNamesT(tensor.get(0), set);
        } else if (tensor instanceof ScalarFunction)
            return;
        else {
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        assertIndicesConsistency(t, new TIntHashSet());
    }

    private static void assertIndicesConsistency(Tensor t, TIntHashSet indices) {
        if (t instanceof SimpleTensor) {
            Indices ind = t.getIndices();
            for (int i = ind.size() - 1; i >= 0; --i)
                if (indices.contains(ind.get(i)))
                    throw new AssertionError();
                else
                    indices.add(ind.get(i));
        }
        if (t instanceof Product)
            for (int i = t.size() - 1; i >= 0; --i)
                assertIndicesConsistency(t.get(i), indices);
        if (t instanceof Sum) {
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                assertIndicesConsistency(c, new TIntHashSet(indices));
    }

    private static void appendAllIndicesT(Tensor tensor, TIntHashSet set) {
        if (tensor instanceof SimpleTensor) {
            Indices ind = tensor.getIndices();
            final int size = ind.size();
            for (int i = 0; i < size; ++i)
                set.add(ind.get(i));
        } else if (tensor instanceof Power) {
            appendAllIndicesT(tensor.get(0), set);
        } else {
            Tensor t;
            for (int i = tensor.size() - 1; i >= 0; --i) {
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    private final int lowerCount, upperCount;
    private final Symmetries symmetries;

    private IndexMappingPermutationsGenerator(Tensor tensor) {
        this.tensor = tensor;
        Indices indices = tensor.getIndices().getFreeIndices();
        if (!(indices instanceof SortedIndices))
            throw new IllegalArgumentException();

        symmetries = IndexMappingUtils.getSymmetriesFromMappings(indices, tensor, false);
        lowerCount = indices.getLower().length();
        upperCount = indices.getUpper().length();

        this.indicesNames = indices.getAllIndices().copy();
        for (int i = 0; i < this.indicesNames.length; ++i)
            this.indicesNames[i] = IndicesUtils.getNameWithType(this.indicesNames[i]);

    }
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