Package org.apache.commons.math3.fraction

Examples of org.apache.commons.math3.fraction.Fraction

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    public void testGetSetMatrixLarge() {
        int n = 3 * BlockFieldMatrix.BLOCK_SIZE;
        FieldMatrix<Fraction> m =
            new BlockFieldMatrix<Fraction>(FractionField.getInstance(), n, n);
        FieldMatrix<Fraction> sub =
            new BlockFieldMatrix<Fraction>(FractionField.getInstance(), n - 4, n - 4).scalarAdd(new Fraction(1));

        m.setSubMatrix(sub.getData(), 2, 2);
        for (int i = 0; i < n; ++i) {
            for (int j = 0; j < n; ++j) {
                if ((i < 2) || (i > n - 3) || (j < 2) || (j > n - 3)) {
                    Assert.assertEquals(new Fraction(0), m.getEntry(i, j));
                } else {
                    Assert.assertEquals(new Fraction(1), m.getEntry(i, j));
                }
            }
        }
        Assert.assertEquals(sub, m.getSubMatrix(2, n - 3, 2, n - 3));
    }
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    public void testGetSetRowMatrixLarge() {
        int n = 3 * BlockFieldMatrix.BLOCK_SIZE;
        FieldMatrix<Fraction> m =
            new BlockFieldMatrix<Fraction>(FractionField.getInstance(), n, n);
        FieldMatrix<Fraction> sub =
            new BlockFieldMatrix<Fraction>(FractionField.getInstance(), 1, n).scalarAdd(new Fraction(1));

        m.setRowMatrix(2, sub);
        for (int i = 0; i < n; ++i) {
            for (int j = 0; j < n; ++j) {
                if (i != 2) {
                    Assert.assertEquals(new Fraction(0), m.getEntry(i, j));
                } else {
                    Assert.assertEquals(new Fraction(1), m.getEntry(i, j));
                }
            }
        }
        Assert.assertEquals(sub, m.getRowMatrix(2));

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    public void testGetSetColumnMatrixLarge() {
        int n = 3 * BlockFieldMatrix.BLOCK_SIZE;
        FieldMatrix<Fraction> m =
            new BlockFieldMatrix<Fraction>(FractionField.getInstance(), n, n);
        FieldMatrix<Fraction> sub =
            new BlockFieldMatrix<Fraction>(FractionField.getInstance(), n, 1).scalarAdd(new Fraction(1));

        m.setColumnMatrix(2, sub);
        for (int i = 0; i < n; ++i) {
            for (int j = 0; j < n; ++j) {
                if (j != 2) {
                    Assert.assertEquals(new Fraction(0), m.getEntry(i, j));
                } else {
                    Assert.assertEquals(new Fraction(1), m.getEntry(i, j));
                }
            }
        }
        Assert.assertEquals(sub, m.getColumnMatrix(2));

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    @Test
    public void testGetSetRowVectorLarge() {
        int n = 3 * BlockFieldMatrix.BLOCK_SIZE;
        FieldMatrix<Fraction> m = new BlockFieldMatrix<Fraction>(FractionField.getInstance(), n, n);
        FieldVector<Fraction> sub = new ArrayFieldVector<Fraction>(n, new Fraction(1));

        m.setRowVector(2, sub);
        for (int i = 0; i < n; ++i) {
            for (int j = 0; j < n; ++j) {
                if (i != 2) {
                    Assert.assertEquals(new Fraction(0), m.getEntry(i, j));
                } else {
                    Assert.assertEquals(new Fraction(1), m.getEntry(i, j));
                }
            }
        }
        Assert.assertEquals(sub, m.getRowVector(2));

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    protected double normTolerance = 10E-14;
    protected Field<Fraction> field = FractionField.getInstance();

    public SparseFieldMatrixTest() {
        try {
            testDataLU = new Fraction[][]{ { new Fraction(2), new Fraction(5), new Fraction(3) }, { new Fraction(.5d), new Fraction(-2.5d), new Fraction(6.5d) },
                    { new Fraction(0.5d), new Fraction(0.2d), new Fraction(.2d) } };
            luDataLUDecomposition = new Fraction[][]{ { new Fraction(6), new Fraction(9), new Fraction(8) },
                { new Fraction(0), new Fraction(5), new Fraction(7) }, { new Fraction(0.33333333333333), new Fraction(0), new Fraction(0.33333333333333) } };
            subTestData = new Fraction [][]{ { new Fraction(1), new Fraction(2), new Fraction(3), new Fraction(4) },
                    { new Fraction(1.5), new Fraction(2.5), new Fraction(3.5), new Fraction(4.5) }, { new Fraction(2), new Fraction(4), new Fraction(6), new Fraction(8) }, { new Fraction(4), new Fraction(5), new Fraction(6), new Fraction(7) } };
            subRows31Cols31 = new Fraction[][]{ { new Fraction(7), new Fraction(5) }, { new Fraction(4.5), new Fraction(2.5) } };
            subRows01Cols23 = new Fraction[][]{ { new Fraction(3), new Fraction(4) }, { new Fraction(3.5), new Fraction(4.5) } };
            subColumn1 = new Fraction [][]{ { new Fraction(2) }, { new Fraction(2.5) }, { new Fraction(4) }, { new Fraction(5) } };
            subColumn3 = new Fraction[][]{ { new Fraction(4) }, { new Fraction(4.5) }, { new Fraction(8) }, { new Fraction(7) } };
        } catch (FractionConversionException e) {
            // ignore, can't happen
        }
    }
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    @Test
    public void testPlusMinus() {
        SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
        SparseFieldMatrix<Fraction> n = createSparseMatrix(testDataInv);
        assertClose("m-n = m + -n", m.subtract(n),
            n.scalarMultiply(new Fraction(-1)).add(m), entryTolerance);
        try {
            m.subtract(createSparseMatrix(testData2));
            Assert.fail("Expecting illegalArgumentException");
        } catch (MathIllegalArgumentException ex) {
            // ignored
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    /** test sclarAdd */
    @Test
    public void testScalarAdd() {
        FieldMatrix<Fraction> m = createSparseMatrix(testData);
        assertClose("scalar add", createSparseMatrix(testDataPlus2),
            m.scalarAdd(new Fraction(2)), entryTolerance);
    }
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    /** test issue MATH-209 */
    @Test
    public void testMath209() {
        FieldMatrix<Fraction> a = createSparseMatrix(new Fraction[][] {
                { new Fraction(1), new Fraction(2) }, { new Fraction(3), new Fraction(4) }, { new Fraction(5), new Fraction(6) } });
        Fraction[] b = a.operate(new Fraction[] { new Fraction(1), new Fraction(1) });
        Assert.assertEquals(a.getRowDimension(), b.length);
        Assert.assertEquals(3.0, b[0].doubleValue(), 1.0e-12);
        Assert.assertEquals(7.0, b[1].doubleValue(), 1.0e-12);
        Assert.assertEquals(11.0, b[2].doubleValue(), 1.0e-12);
    }
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    /** test examples in user guide */
    @Test
    public void testExamples() {
        // Create a real matrix with two rows and three columns
        Fraction[][] matrixData = { { new Fraction(1), new Fraction(2), new Fraction(3) }, { new Fraction(2), new Fraction(5), new Fraction(3) } };
        FieldMatrix<Fraction> m = createSparseMatrix(matrixData);
        // One more with three rows, two columns
        Fraction[][] matrixData2 = { { new Fraction(1), new Fraction(2) }, { new Fraction(2), new Fraction(5) }, { new Fraction(1), new Fraction(7) } };
        FieldMatrix<Fraction> n = createSparseMatrix(matrixData2);
        // Now multiply m by n
        FieldMatrix<Fraction> p = m.multiply(n);
        Assert.assertEquals(2, p.getRowDimension());
        Assert.assertEquals(2, p.getColumnDimension());
        // Invert p
        FieldMatrix<Fraction> pInverse = new FieldLUDecomposition<Fraction>(p).getSolver().getInverse();
        Assert.assertEquals(2, pInverse.getRowDimension());
        Assert.assertEquals(2, pInverse.getColumnDimension());

        // Solve example
        Fraction[][] coefficientsData = { { new Fraction(2), new Fraction(3), new Fraction(-2) }, { new Fraction(-1), new Fraction(7), new Fraction(6) },
                { new Fraction(4), new Fraction(-3), new Fraction(-5) } };
        FieldMatrix<Fraction> coefficients = createSparseMatrix(coefficientsData);
        Fraction[] constants = { new Fraction(1), new Fraction(-2), new Fraction(1) };
        Fraction[] solution;
        solution = new FieldLUDecomposition<Fraction>(coefficients)
            .getSolver()
            .solve(new ArrayFieldVector<Fraction>(constants, false)).toArray();
        Assert.assertEquals((new Fraction(2).multiply((solution[0])).add(new Fraction(3).multiply(solution[1])).subtract(new Fraction(2).multiply(solution[2]))).doubleValue(),
                constants[0].doubleValue(), 1E-12);
        Assert.assertEquals(((new Fraction(-1).multiply(solution[0])).add(new Fraction(7).multiply(solution[1])).add(new Fraction(6).multiply(solution[2]))).doubleValue(),
                constants[1].doubleValue(), 1E-12);
        Assert.assertEquals(((new Fraction(4).multiply(solution[0])).subtract(new Fraction(3).multiply( solution[1])).subtract(new Fraction(5).multiply(solution[2]))).doubleValue(),
                constants[2].doubleValue(), 1E-12);

    }
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    @Test
    public void testSetSubMatrix() {
        SparseFieldMatrix<Fraction> m = createSparseMatrix(testData);
        m.setSubMatrix(detData2, 1, 1);
        FieldMatrix<Fraction> expected = createSparseMatrix(new Fraction[][] {
                { new Fraction(1), new Fraction(2), new Fraction(3) }, { new Fraction(2), new Fraction(1), new Fraction(3) }, { new Fraction(1), new Fraction(2), new Fraction(4) } });
        Assert.assertEquals(expected, m);

        m.setSubMatrix(detData2, 0, 0);
        expected = createSparseMatrix(new Fraction[][] {
                { new Fraction(1), new Fraction(3), new Fraction(3) }, { new Fraction(2), new Fraction(4), new Fraction(3) }, { new Fraction(1), new Fraction(2), new Fraction(4) } });
        Assert.assertEquals(expected, m);

        m.setSubMatrix(testDataPlus2, 0, 0);
        expected = createSparseMatrix(new Fraction[][] {
                { new Fraction(3), new Fraction(4), new Fraction(5) }, { new Fraction(4), new Fraction(7), new Fraction(5) }, { new Fraction(3), new Fraction(2), new Fraction(10) } });
        Assert.assertEquals(expected, m);

        // javadoc example
        SparseFieldMatrix<Fraction> matrix =
            createSparseMatrix(new Fraction[][] {
        { new Fraction(1), new Fraction(2), new Fraction(3), new Fraction(4) }, { new Fraction(5), new Fraction(6), new Fraction(7), new Fraction(8) }, { new Fraction(9), new Fraction(0), new Fraction(1), new Fraction(2) } });
        matrix.setSubMatrix(new Fraction[][] { { new Fraction(3), new Fraction(4) }, { new Fraction(5), new Fraction(6) } }, 1, 1);
        expected = createSparseMatrix(new Fraction[][] {
                { new Fraction(1), new Fraction(2), new Fraction(3), new Fraction(4) }, { new Fraction(5), new Fraction(3), new Fraction(4), new Fraction(8) }, { new Fraction(9), new Fraction(5), new Fraction(6), new Fraction(2) } });
        Assert.assertEquals(expected, matrix);

        // dimension overflow
        try {
            m.setSubMatrix(testData, 1, 1);
            Assert.fail("expecting OutOfRangeException");
        } catch (OutOfRangeException e) {
            // expected
        }
        // dimension underflow
        try {
            m.setSubMatrix(testData, -1, 1);
            Assert.fail("expecting OutOfRangeException");
        } catch (OutOfRangeException e) {
            // expected
        }
        try {
            m.setSubMatrix(testData, 1, -1);
            Assert.fail("expecting OutOfRangeException");
        } catch (OutOfRangeException e) {
            // expected
        }

        // null
        try {
            m.setSubMatrix(null, 1, 1);
            Assert.fail("expecting NullArgumentException");
        } catch (NullArgumentException e) {
            // expected
        }
        try {
            new SparseFieldMatrix<Fraction>(field, 0, 0);
            Assert.fail("expecting MathIllegalArgumentException");
        } catch (MathIllegalArgumentException e) {
            // expected
        }

        // ragged
        try {
            m.setSubMatrix(new Fraction[][] { { new Fraction(1) }, { new Fraction(2), new Fraction(3) } }, 0, 0);
            Assert.fail("expecting MathIllegalArgumentException");
        } catch (MathIllegalArgumentException e) {
            // expected
        }
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Related Classes of org.apache.commons.math3.fraction.Fraction

  • fraction.FractionTest
  • org.apache.commons.math3.analysis.differentiation.DerivativeStructure
  • org.apache.commons.math3.analysis.differentiation.MultivariateDifferentiableVectorFunction
  • org.apache.commons.math3.analysis.function.HarmonicOscillator
  • org.apache.commons.math3.analysis.function.Sin
  • org.apache.commons.math3.analysis.function.Sinc
  • org.apache.commons.math3.analysis.MultivariateFunction
  • org.apache.commons.math3.analysis.QuinticFunction
  • org.apache.commons.math3.analysis.solvers.BrentSolver
  • org.apache.commons.math3.analysis.UnivariateFunction
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