Package cc.redberry.core.number

Examples of cc.redberry.core.number.Complex

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     * @param tensor tensor
     * @return split
     */
    public static Split splitIndexless(final Tensor tensor) {
        if (tensor.getIndices().size() == 0) {//case 2*a*b*c
            Complex complex;
            Tensor factor;
            if (tensor instanceof Product) {
                Product product = (Product) tensor;
                complex = product.factor;
                if (complex == Complex.ONE)//case a*b
 
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    @Override
    public Complex parse(String expression, NumberParser<Complex> parser) {
        if (expression.equals("I"))
            return Complex.IMAGINARY_UNIT;
        try {
            return new Complex(new BigInteger(expression));
        } catch (NumberFormatException ignored) {
        }
        try {
            return new Complex(Double.parseDouble(expression));
        } catch (NumberFormatException exception) {
            return null;
        }
    }
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        return tensor instanceof Complex && ((Complex) tensor).isPositiveNatural();
    }

    public static boolean isRealPositiveNumber(Tensor tensor) {
        if (tensor instanceof Complex) {
            Complex complex = (Complex) tensor;
            return complex.isReal() && complex.getReal().signum() > 0;
        }
        return false;
    }
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        return false;
    }

    public static boolean isRealNegativeNumber(Tensor tensor) {
        if (tensor instanceof Complex) {
            Complex complex = (Complex) tensor;
            return complex.isReal() && complex.getReal().signum() < 0;
        }
        return false;
    }
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     * @param power    power
     * @return result of argument exponentiation
     * @throws IllegalArgumentException if argument is not scalar
     */
    public static Tensor pow(Tensor argument, int power) {
        return pow(argument, new Complex(power));
    }
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     * @param power    power
     * @return result of argument exponentiation
     * @throws IllegalArgumentException if argument is not scalar
     */
    public static Tensor pow(Tensor argument, java.math.BigInteger power) {
        return pow(argument, new Complex(power));
    }
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            }

            //at this point we know, that exponent is not integer
            if (node.exponent == null || node.exponent.summands.isEmpty()) {
                //node.exponent is number
                Complex exponent1 = node.exponent == null ? Complex.ONE : node.exponent.complex;
                if (exponent1.isInteger()) {
                    //node.exponent = 2*n
                    //e.g. node.base = (a-b) node.exponent == 2
                    //          base = (b-a)      exponent == x
                    //then (a-b)**2 * (b-a)**x -> (b-a)**(x+2)
                    node.base = base;
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        if (tensors.length == 0)
            return Complex.ONE;
        else if (tensors.length == 1)
            return tensors[0];

        Complex factor = Complex.ONE;

        IndexlessWrapper indexlessContainer = new IndexlessWrapper();
        DataWrapper dataContainer = new DataWrapper();
        Product p;
        for (Tensor current : tensors) {
            if (current instanceof Complex)
                factor = factor.multiply((Complex) current);
            else if (current instanceof Product) {
                p = (Product) current;
                indexlessContainer.add(p.indexlessData);
                dataContainer.add(p.data, p.contentReference.getReferent(), p.indices);
                factor = factor.multiply(p.factor);
            } else if (current.getIndices().size() == 0)
                indexlessContainer.add(current);
            else
                dataContainer.add(current);
            if (factor.isNaN())
                return factor;
        }

        if (NumberUtils.isZeroOrIndeterminate(factor))
            return factor;

        if (factor.isNumeric()) {
            List<Tensor> newTensors = new ArrayList<>();
            factor = Complex.ONE;
            for (Tensor current : tensors) {
                current = toNumeric(current);
                if (current instanceof Complex)
                    factor = factor.multiply((Complex) current);
                else newTensors.add(current);
            }
            if (newTensors.isEmpty())
                return factor;
            indexlessContainer = new IndexlessWrapper();
            dataContainer = new DataWrapper();
            for (Tensor current : newTensors) {
                if (current instanceof Product) {
                    p = (Product) current;
                    indexlessContainer.add(p.indexlessData);
                    dataContainer.add(p.data, p.contentReference.getReferent(), p.indices);
                    factor = factor.multiply(p.factor);
                } else if (current.getIndices().size() == 0)
                    indexlessContainer.add(current);
                else
                    dataContainer.add(current);
            }
        }


        //Processing data with indices
        int i;
        ProductContent content;
        Indices indices;
        Tensor[] data = dataContainer.list.toArray(new Tensor[dataContainer.list.size()]);
        if (dataContainer.count == 1) {
            content = dataContainer.content;
            indices = dataContainer.indices;
            if (indices == null) {
                assert dataContainer.list.size() == 1;
                indices = IndicesFactory.create(dataContainer.list.get(0).getIndices());
            }
        } else {
            content = null;
            Arrays.sort(data);
            IndicesBuilder builder = new IndicesBuilder();
            for (i = dataContainer.list.size() - 1; i >= 0; --i)
                builder.append(dataContainer.list.get(i));
            try {
                indices = builder.getIndices();
            } catch (InconsistentIndicesException exception) {
                throw new InconsistentIndicesException(exception.getIndex());
            }
        }

        //Processing indexless data
        Tensor[] indexless;
        if (indexlessContainer.count == 0)
            indexless = new Tensor[0];
        else if (indexlessContainer.count == 1)
            indexless = indexlessContainer.list.toArray(new Tensor[indexlessContainer.list.size()]);
        else {
            PowersContainer powersContainer = new PowersContainer(indexlessContainer.list.size());
            ArrayList<Tensor> indexlessArray = new ArrayList<>();
            Tensor tensor;
            for (i = indexlessContainer.list.size() - 1; i >= 0; --i) {
                tensor = indexlessContainer.list.get(i);
                if (TensorUtils.isSymbolic(tensor)) {
                    powersContainer.put(tensor);
                } else
                    indexlessArray.add(tensor);
            }

            for (Tensor t : powersContainer)
                if (t instanceof Product) {
                    factor = factor.multiply(((Product) t).factor);
                    indexlessArray.ensureCapacity(t.size());
                    for (Tensor multiplier : ((Product) t).indexlessData)
                        indexlessArray.add(multiplier);

                } else if (t instanceof Complex) {
                    factor = factor.multiply((Complex) t);
                    if (isZeroOrIndeterminate(factor))
                        return factor;
                } else
                    indexlessArray.add(t);


            if (powersContainer.isSign())
                factor = factor.negate();

            indexless = indexlessArray.toArray(new Tensor[indexlessArray.size()]);
            Arrays.sort(indexless);
        }

        //Constructing result
        if (data.length == 0 && indexless.length == 0)
            return factor;
        if (factor.isOne()) {
            if (data.length == 1 && indexless.length == 0)
                return data[0];
            if (data.length == 0 && indexless.length == 1)
                return indexless[0];
        }
        if (factor.isMinusOne()) {
            Sum s = null;
            if (indexless.length == 1 && data.length == 0 && indexless[0] instanceof Sum)
                //case (-1)*(a+b) -> -a-b
                s = ((Sum) indexless[0]);
            if (indexless.length == 0 && data.length == 1 && data[0] instanceof Sum)
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            return new DummyIndexMappingProvider(opu);
        if (!(from.get(1) instanceof Complex))
            return IndexMappingProvider.Util.EMPTY_PROVIDER;

        assert to.get(1) instanceof Complex;
        Complex exponent = (Complex) from.get(1);
        if (NumberUtils.isIntegerEven(exponent))
            return new DummyIndexMappingProvider(opu);
        if (NumberUtils.isIntegerOdd(exponent))
            return new MinusIndexMappingProvider(opu);
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    static Tensor power(Tensor argument, Tensor power) {
        //TODO improve Complex^Complex
        if (argument instanceof Complex && power instanceof Complex) {

            Complex a = (Complex) argument;
            Complex p = (Complex) power;
            Complex result = Exponentiation.exponentiateIfPossible(a, p);

            if (result != null)
                return result;
        }
        if (TensorUtils.isOne(power))
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Related Classes of cc.redberry.core.number.Complex

  • cc.redberry.core.indexmapping.ProviderPower
  • cc.redberry.core.number.parser.ComplexToken
  • cc.redberry.core.parser.ParserNumber
  • cc.redberry.core.performance.kv.OneLoopInput
  • cc.redberry.core.tensor.PowerFactory
  • cc.redberry.core.tensor.PowersContainer
  • cc.redberry.core.tensor.Product
  • cc.redberry.core.tensor.ProductBuilder
  • cc.redberry.core.tensor.ProductFactory
  • cc.redberry.core.tensor.random.RandomTensor
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