Examples of cc.redberry.core.number.Rational

cc.redberry.core.number.Rational
Representation of a rational number without any overflow. This class is a wrapper of {@link BigInteger}.

This class implements mathematical operations declared in {@link cc.redberry.core.number.Number} as operations with in the followingway. If argument is {@link Numeric}, the result will be {@code Numeric} too.For example, 2 / 3 +1.0 will give 1.666666 and so on. If argument is {@code Rational}number, the result will be {@code Rational} too. @author Stanislav Poslavsky @see Number @see Numeric @see BigFraction

                if (withCoefficients) {
                    coefficient = CC.generateNewSymbol();
                    coefficients.add((SimpleTensor) coefficient);
                } else coefficient = Complex.ONE;


                term = Tensors.multiply(coefficient, term, term instanceof Sum ? new Complex(new Rational(1, term.size())) : Complex.ONE);
            } else if (withCoefficients)
                term = FastTensors.multiplySumElementsOnFactors((Sum) term);
            result.put(term);
        }
        this.result = (symmetries == null || symmetries.isEmpty()) ? result.build() : symmetrize(result.build(), symmetries);

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                assert factor.equals(tempF);
            }


            if (!factor.isOne())
                temp = FastTensors.multiplySumElementsOnFactor((Sum) temp, factor.reciprocal());
            return multiply(new Complex(new Rational(1, temp.size())), temp);
        }
        return temp;
    }

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            int[] newIndicesNames = permutation.permute(freeIndicesNames);
            generatedTensors.add(ApplyIndexMapping.applyIndexMapping(tensor, freeIndicesNames, newIndicesNames, new int[0]));
        }
        Tensor[] summands = generatedTensors.toArray(new Tensor[generatedTensors.size()]);
        if (multiplyFactorial)
            return Tensors.multiply(new Complex(new Rational(1, generatedTensors.size())), Tensors.sum(summands));
        else
            return Tensors.sum(summands);
    }

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                if (summand != null)
                    sumBuilder.put(summand);
            }
        }
        if (multiplyOnSymmetryFactor)
            return Tensors.multiply(new Complex(new Rational(1, generatedPermutations.size())), sumBuilder.build());
        else
            return sumBuilder.build();
    }

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        List<Tensor> toMultiply = new ArrayList<>(map.size());
        for (SortedMap.Entry<GenPolynomial<BigInteger>, Long> entry : map.entrySet())
            toMultiply.add(Tensors.pow(poly2Tensor(entry.getKey(), varsArray),
                    new Complex(entry.getValue())));
        if (!gcd.equals(java.math.BigInteger.ONE) || !lcm.equals(java.math.BigInteger.ONE))
            toMultiply.add(new Complex(new Rational(gcd, lcm)));


        return Tensors.multiply(toMultiply.toArray(new Tensor[toMultiply.size()]));
    }

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        for (Monomial<BigInteger> monomial : poly) {
            coefficient = monomial.coefficient();
            exp = monomial.exponent();
            temp.clear();


            temp.add(new Complex(new Rational(coefficient.getVal())));
            for (int i = 0; i < exp.length(); ++i)
                if ((lExp = exp.getVal(i)) != 0)
                    temp.add(Tensors.pow(varsArray[i].simpleTensor, new Complex(lExp)));


            sum.add(Tensors.multiply(temp.toArray(new Tensor[temp.size()])));

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                }


            //creating term & processing combinatorics            
            Tensor term = SymmetrizeUpperLowerIndicesTransformation.symmetrizeUpperLowerIndices(Tensors.multiplyAndRenameConflictingDummies(tCombination.toArray(new Tensor[tCombination.size()])));
            if (symmetricForm || !(term instanceof Sum))
                term = Tensors.multiply(coefficientsGenerator.take(), term, term instanceof Sum ? new Complex(new Rational(1, term.size())) : Complex.ONE);
            else
                term = FastTensors.multiplySumElementsOnFactors((Sum) term, coefficientsGenerator);
            result.put(term);
        }
    }

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            if (p.isZero())
                return Complex.ONE;
            if (a.isNumeric() || p.isNumeric())
                return a.powNumeric(p);
            if (p.isReal()) {
                Rational pp = (Rational) p.getReal();
                if (pp.isInteger()) {
                    boolean sign = pp.getNumerator().compareTo(BigInteger.ZERO) > 0;
                    BigInteger exponent = pp.getNumerator().abs();


                    Complex result = Complex.ONE, base = a;
                    while (exponent.signum() > 0) {
                        if (exponent.testBit(0))
                            result = result.multiply(base);

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    }


    @Override
    public Real parse(String expression, NumberParser<Real> parser) {
        try {
            return new Rational(new BigInteger(expression));
        } catch (NumberFormatException exception) {
        }
        try {
            return new Numeric(Double.parseDouble(expression));
        } catch (NumberFormatException exception) {

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                if (withCoefficients) {
                    coefficient = CC.generateNewSymbol();
                    coefficients.add((SimpleTensor) coefficient);
                } else coefficient = Complex.ONE;


                term = Tensors.multiply(coefficient, term, term instanceof Sum ? new Complex(new Rational(1, term.size())) : Complex.ONE);
            } else if (withCoefficients)
                term = FastTensors.multiplySumElementsOnFactors((Sum) term);
            result.put(term);
        }
        this.result = indices.getSymmetries().isTrivial() ? result.build() : symmetrize(result.build());

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Related Classes of cc.redberry.core.number.Rational

cc.redberry.core.number.parser.RealToken

cc.redberry.core.tensor.PowerFactory

cc.redberry.core.tensorgenerator.TensorGenerator

cc.redberry.core.transformations.factor.JasFactor

cc.redberry.core.transformations.symmetrization.Symmetrize

cc.redberry.core.transformations.symmetrization.SymmetrizeSimpleTensorTransformation

cc.redberry.core.transformations.symmetrization.SymmetrizeTransformation

cc.redberry.core.transformations.symmetrization.SymmetrizeUpperLowerIndicesTransformation

org.apache.commons.math3.fraction.BigFraction

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