Package fraction

Examples of fraction.Fraction

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    }

    @Test
    public void testGetEntry() {
        FieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
        Assert.assertEquals("get entry", m.getEntry(0,1), new Fraction(2));
        try {
            m.getEntry(10, 4);
            Assert.fail ("Expecting OutOfRangeException");
        } catch (OutOfRangeException ex) {
            // expected
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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 = new Array2DRowFieldMatrix<Fraction>(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 = new Array2DRowFieldMatrix<Fraction>(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 = new Array2DRowFieldMatrix<Fraction>(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])), constants[0]);
        Assert.assertEquals(new Fraction(-1).multiply(solution[0]).
                     add(new Fraction(7).multiply(solution[1])).
                     add(new Fraction(6).multiply(solution[2])), constants[1]);
        Assert.assertEquals(new Fraction(4).multiply(solution[0]).
                     subtract(new Fraction(3).multiply(solution[1])).
                     subtract(new Fraction(5).multiply(solution[2])), constants[2]);

    }
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    public void testSetSubMatrix() {
        Array2DRowFieldMatrix<Fraction> m = new Array2DRowFieldMatrix<Fraction>(testData);
        m.setSubMatrix(detData2,1,1);
        FieldMatrix<Fraction> expected = new Array2DRowFieldMatrix<Fraction>
            (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 = new Array2DRowFieldMatrix<Fraction>
            (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 = new Array2DRowFieldMatrix<Fraction>
            (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);

        // 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
        }
        Array2DRowFieldMatrix<Fraction> m2 = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance());
        try {
            m2.setSubMatrix(testData,0,1);
            Assert.fail("expecting MathIllegalStateException");
        } catch (MathIllegalStateException e) {
            // expected
        }
        try {
            m2.setSubMatrix(testData,1,0);
            Assert.fail("expecting MathIllegalStateException");
        } catch (MathIllegalStateException 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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        m.walkInRowOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2);
        getVisitor = new GetVisitor();
        m.walkInOptimizedOrder(getVisitor, 1, rows - 2, 1, columns - 2);
        Assert.assertEquals((rows - 2) * (columns - 2), getVisitor.getCount());
        for (int i = 0; i < rows; ++i) {
            Assert.assertEquals(new Fraction(0), m.getEntry(i, 0));
            Assert.assertEquals(new Fraction(0), m.getEntry(i, columns - 1));
        }
        for (int j = 0; j < columns; ++j) {
            Assert.assertEquals(new Fraction(0), m.getEntry(0, j));
            Assert.assertEquals(new Fraction(0), m.getEntry(rows - 1, j));
        }

        m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
        m.walkInColumnOrder(new SetVisitor());
        getVisitor = new GetVisitor();
        m.walkInOptimizedOrder(getVisitor);
        Assert.assertEquals(rows * columns, getVisitor.getCount());

        m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
        m.walkInColumnOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2);
        getVisitor = new GetVisitor();
        m.walkInOptimizedOrder(getVisitor, 1, rows - 2, 1, columns - 2);
        Assert.assertEquals((rows - 2) * (columns - 2), getVisitor.getCount());
        for (int i = 0; i < rows; ++i) {
            Assert.assertEquals(new Fraction(0), m.getEntry(i, 0));
            Assert.assertEquals(new Fraction(0), m.getEntry(i, columns - 1));
        }
        for (int j = 0; j < columns; ++j) {
            Assert.assertEquals(new Fraction(0), m.getEntry(0, j));
            Assert.assertEquals(new Fraction(0), m.getEntry(rows - 1, j));
        }

        m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
        m.walkInOptimizedOrder(new SetVisitor());
        getVisitor = new GetVisitor();
        m.walkInRowOrder(getVisitor);
        Assert.assertEquals(rows * columns, getVisitor.getCount());

        m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
        m.walkInOptimizedOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2);
        getVisitor = new GetVisitor();
        m.walkInRowOrder(getVisitor, 1, rows - 2, 1, columns - 2);
        Assert.assertEquals((rows - 2) * (columns - 2), getVisitor.getCount());
        for (int i = 0; i < rows; ++i) {
            Assert.assertEquals(new Fraction(0), m.getEntry(i, 0));
            Assert.assertEquals(new Fraction(0), m.getEntry(i, columns - 1));
        }
        for (int j = 0; j < columns; ++j) {
            Assert.assertEquals(new Fraction(0), m.getEntry(0, j));
            Assert.assertEquals(new Fraction(0), m.getEntry(rows - 1, j));
        }

        m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
        m.walkInOptimizedOrder(new SetVisitor());
        getVisitor = new GetVisitor();
        m.walkInColumnOrder(getVisitor);
        Assert.assertEquals(rows * columns, getVisitor.getCount());

        m = new Array2DRowFieldMatrix<Fraction>(FractionField.getInstance(), rows, columns);
        m.walkInOptimizedOrder(new SetVisitor(), 1, rows - 2, 1, columns - 2);
        getVisitor = new GetVisitor();
        m.walkInColumnOrder(getVisitor, 1, rows - 2, 1, columns - 2);
        Assert.assertEquals((rows - 2) * (columns - 2), getVisitor.getCount());
        for (int i = 0; i < rows; ++i) {
            Assert.assertEquals(new Fraction(0), m.getEntry(i, 0));
            Assert.assertEquals(new Fraction(0), m.getEntry(i, columns - 1));
        }
        for (int j = 0; j < columns; ++j) {
            Assert.assertEquals(new Fraction(0), m.getEntry(0, j));
            Assert.assertEquals(new Fraction(0), m.getEntry(rows - 1, j));
        }
    }
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        if (matrix.getRowDimension() != permutation.length) {
            throw new DimensionMismatchException(matrix.getRowDimension(), permutation.length);
        }
        int n = matrix.getRowDimension();
        int m = matrix.getColumnDimension();
        Fraction out[][] = new Fraction[m][n];
        for (int i = 0; i < n; i++) {
            for (int j = 0; j < m; j++) {
                out[i][j] = matrix.getEntry(permutation[i], j);
            }
        }
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        public SetVisitor() {
            super(Fraction.ZERO);
        }
        @Override
        public Fraction visit(int i, int j, Fraction value) {
            return new Fraction(i * 1024 + j, 1024);
        }
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            count = 0;
        }
        @Override
        public void visit(int i, int j, Fraction value) {
            ++count;
            Assert.assertEquals(new Fraction(i * 1024 + j, 1024), value);
        }
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        ArrayFieldVector<Fraction> v1 = new ArrayFieldVector<Fraction>(FractionField.getInstance(), 7);
        Assert.assertEquals(7, v1.getDimension());
        Assert.assertEquals(Fraction.ZERO, v1.getEntry(6));

        ArrayFieldVector<Fraction> v2 = new ArrayFieldVector<Fraction>(5, new Fraction(123, 100));
        Assert.assertEquals(5, v2.getDimension());
        Assert.assertEquals(new Fraction(123, 100), v2.getEntry(4));

        ArrayFieldVector<Fraction> v3 = new ArrayFieldVector<Fraction>(FractionField.getInstance(), vec1);
        Assert.assertEquals(3, v3.getDimension());
        Assert.assertEquals(new Fraction(2), v3.getEntry(1));

        ArrayFieldVector<Fraction> v4 = new ArrayFieldVector<Fraction>(FractionField.getInstance(), vec4, 3, 2);
        Assert.assertEquals(2, v4.getDimension());
        Assert.assertEquals(new Fraction(4), v4.getEntry(0));
        try {
            new ArrayFieldVector<Fraction>(vec4, 8, 3);
            Assert.fail("MathIllegalArgumentException expected");
        } catch (MathIllegalArgumentException ex) {
            // expected behavior
        }

        FieldVector<Fraction> v5_i = new ArrayFieldVector<Fraction>(dvec1);
        Assert.assertEquals(9, v5_i.getDimension());
        Assert.assertEquals(new Fraction(9), v5_i.getEntry(8));

        ArrayFieldVector<Fraction> v5 = new ArrayFieldVector<Fraction>(dvec1);
        Assert.assertEquals(9, v5.getDimension());
        Assert.assertEquals(new Fraction(9), v5.getEntry(8));

        ArrayFieldVector<Fraction> v6 = new ArrayFieldVector<Fraction>(dvec1, 3, 2);
        Assert.assertEquals(2, v6.getDimension());
        Assert.assertEquals(new Fraction(4), v6.getEntry(0));
        try {
            new ArrayFieldVector<Fraction>(dvec1, 8, 3);
            Assert.fail("MathIllegalArgumentException expected");
        } catch (MathIllegalArgumentException ex) {
            // expected behavior
        }

        ArrayFieldVector<Fraction> v7 = new ArrayFieldVector<Fraction>(v1);
        Assert.assertEquals(7, v7.getDimension());
        Assert.assertEquals(Fraction.ZERO, v7.getEntry(6));

        FieldVectorTestImpl<Fraction> v7_i = new FieldVectorTestImpl<Fraction>(vec1);

        ArrayFieldVector<Fraction> v7_2 = new ArrayFieldVector<Fraction>(v7_i);
        Assert.assertEquals(3, v7_2.getDimension());
        Assert.assertEquals(new Fraction(2), v7_2.getEntry(1));

        ArrayFieldVector<Fraction> v8 = new ArrayFieldVector<Fraction>(v1, true);
        Assert.assertEquals(7, v8.getDimension());
        Assert.assertEquals(Fraction.ZERO, v8.getEntry(6));
        Assert.assertNotSame("testData not same object ", v1.getDataRef(), v8.getDataRef());

        ArrayFieldVector<Fraction> v8_2 = new ArrayFieldVector<Fraction>(v1, false);
        Assert.assertEquals(7, v8_2.getDimension());
        Assert.assertEquals(Fraction.ZERO, v8_2.getEntry(6));
        Assert.assertArrayEquals(v1.getDataRef(), v8_2.getDataRef());

        ArrayFieldVector<Fraction> v9 = new ArrayFieldVector<Fraction>((FieldVector<Fraction>) v1, (FieldVector<Fraction>) v3);
        Assert.assertEquals(10, v9.getDimension());
        Assert.assertEquals(new Fraction(1), v9.getEntry(7));

    }
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        ArrayFieldVector<Fraction> v4 = new ArrayFieldVector<Fraction>(vec4);
        FieldVectorTestImpl<Fraction> v2_t = new FieldVectorTestImpl<Fraction>(vec2);

        FieldVector<Fraction> v_append_1 = v1.append(v2);
        Assert.assertEquals(6, v_append_1.getDimension());
        Assert.assertEquals(new Fraction(4), v_append_1.getEntry(3));

        FieldVector<Fraction> v_append_2 = v1.append(new Fraction(2));
        Assert.assertEquals(4, v_append_2.getDimension());
        Assert.assertEquals(new Fraction(2), v_append_2.getEntry(3));

        FieldVector<Fraction> v_append_4 = v1.append(v2_t);
        Assert.assertEquals(6, v_append_4.getDimension());
        Assert.assertEquals(new Fraction(4), v_append_4.getEntry(3));

        FieldVector<Fraction> v_copy = v1.copy();
        Assert.assertEquals(3, v_copy.getDimension());
        Assert.assertNotSame("testData not same object ", v1.getDataRef(), v_copy.toArray());

        Fraction[] a_frac = v1.toArray();
        Assert.assertEquals(3, a_frac.length);
        Assert.assertNotSame("testData not same object ", v1.getDataRef(), a_frac);


//      ArrayFieldVector<Fraction> vout4 = (ArrayFieldVector<Fraction>) v1.clone();
//      Assert.assertEquals(3, vout4.getDimension());
//      Assert.assertEquals(v1.getDataRef(), vout4.getDataRef());


        FieldVector<Fraction> vout5 = v4.getSubVector(3, 3);
        Assert.assertEquals(3, vout5.getDimension());
        Assert.assertEquals(new Fraction(5), vout5.getEntry(1));
        try {
            v4.getSubVector(3, 7);
            Assert.fail("OutOfRangeException expected");
        } catch (OutOfRangeException ex) {
            // expected behavior
        }

        ArrayFieldVector<Fraction> v_set1 = (ArrayFieldVector<Fraction>) v1.copy();
        v_set1.setEntry(1, new Fraction(11));
        Assert.assertEquals(new Fraction(11), v_set1.getEntry(1));
        try {
            v_set1.setEntry(3, new Fraction(11));
            Assert.fail("OutOfRangeException expected");
        } catch (OutOfRangeException ex) {
            // expected behavior
        }

        ArrayFieldVector<Fraction> v_set2 = (ArrayFieldVector<Fraction>) v4.copy();
        v_set2.set(3, v1);
        Assert.assertEquals(new Fraction(1), v_set2.getEntry(3));
        Assert.assertEquals(new Fraction(7), v_set2.getEntry(6));
        try {
            v_set2.set(7, v1);
            Assert.fail("OutOfRangeException expected");
        } catch (OutOfRangeException ex) {
            // expected behavior
        }

        ArrayFieldVector<Fraction> v_set3 = (ArrayFieldVector<Fraction>) v1.copy();
        v_set3.set(new Fraction(13));
        Assert.assertEquals(new Fraction(13), v_set3.getEntry(2));

        try {
            v_set3.getEntry(23);
            Assert.fail("ArrayIndexOutOfBoundsException expected");
        } catch (ArrayIndexOutOfBoundsException ex) {
            // expected behavior
        }

        ArrayFieldVector<Fraction> v_set4 = (ArrayFieldVector<Fraction>) v4.copy();
        v_set4.setSubVector(3, v2_t);
        Assert.assertEquals(new Fraction(4), v_set4.getEntry(3));
        Assert.assertEquals(new Fraction(7), v_set4.getEntry(6));
        try {
            v_set4.setSubVector(7, v2_t);
            Assert.fail("OutOfRangeException expected");
        } catch (OutOfRangeException ex) {
            // expected behavior
        }


        ArrayFieldVector<Fraction> vout10 = (ArrayFieldVector<Fraction>) v1.copy();
        ArrayFieldVector<Fraction> vout10_2 = (ArrayFieldVector<Fraction>) v1.copy();
        Assert.assertEquals(vout10, vout10_2);
        vout10_2.setEntry(0, new Fraction(11, 10));
        Assert.assertNotSame(vout10, vout10_2);

    }
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    @Test
    public void testMapFunctions() {
        ArrayFieldVector<Fraction> v1 = new ArrayFieldVector<Fraction>(vec1);

        //octave =  v1 .+ 2.0
        FieldVector<Fraction> v_mapAdd = v1.mapAdd(new Fraction(2));
        Fraction[] result_mapAdd = {new Fraction(3), new Fraction(4), new Fraction(5)};
        checkArray("compare vectors" ,result_mapAdd,v_mapAdd.toArray());

        //octave =  v1 .+ 2.0
        FieldVector<Fraction> v_mapAddToSelf = v1.copy();
        v_mapAddToSelf.mapAddToSelf(new Fraction(2));
        Fraction[] result_mapAddToSelf = {new Fraction(3), new Fraction(4), new Fraction(5)};
        checkArray("compare vectors" ,result_mapAddToSelf,v_mapAddToSelf.toArray());

        //octave =  v1 .- 2.0
        FieldVector<Fraction> v_mapSubtract = v1.mapSubtract(new Fraction(2));
        Fraction[] result_mapSubtract = {new Fraction(-1), Fraction.ZERO, new Fraction(1)};
        checkArray("compare vectors" ,result_mapSubtract,v_mapSubtract.toArray());

        //octave =  v1 .- 2.0
        FieldVector<Fraction> v_mapSubtractToSelf = v1.copy();
        v_mapSubtractToSelf.mapSubtractToSelf(new Fraction(2));
        Fraction[] result_mapSubtractToSelf = {new Fraction(-1), Fraction.ZERO, new Fraction(1)};
        checkArray("compare vectors" ,result_mapSubtractToSelf,v_mapSubtractToSelf.toArray());

        //octave =  v1 .* 2.0
        FieldVector<Fraction> v_mapMultiply = v1.mapMultiply(new Fraction(2));
        Fraction[] result_mapMultiply = {new Fraction(2), new Fraction(4), new Fraction(6)};
        checkArray("compare vectors" ,result_mapMultiply,v_mapMultiply.toArray());

        //octave =  v1 .* 2.0
        FieldVector<Fraction> v_mapMultiplyToSelf = v1.copy();
        v_mapMultiplyToSelf.mapMultiplyToSelf(new Fraction(2));
        Fraction[] result_mapMultiplyToSelf = {new Fraction(2), new Fraction(4), new Fraction(6)};
        checkArray("compare vectors" ,result_mapMultiplyToSelf,v_mapMultiplyToSelf.toArray());

        //octave =  v1 ./ 2.0
        FieldVector<Fraction> v_mapDivide = v1.mapDivide(new Fraction(2));
        Fraction[] result_mapDivide = {new Fraction(1, 2), new Fraction(1), new Fraction(3, 2)};
        checkArray("compare vectors" ,result_mapDivide,v_mapDivide.toArray());

        //octave =  v1 ./ 2.0
        FieldVector<Fraction> v_mapDivideToSelf = v1.copy();
        v_mapDivideToSelf.mapDivideToSelf(new Fraction(2));
        Fraction[] result_mapDivideToSelf = {new Fraction(1, 2), new Fraction(1), new Fraction(3, 2)};
        checkArray("compare vectors" ,result_mapDivideToSelf,v_mapDivideToSelf.toArray());

        //octave =  v1 .^-1
        FieldVector<Fraction> v_mapInv = v1.mapInv();
        Fraction[] result_mapInv = {new Fraction(1),new Fraction(1, 2),new Fraction(1, 3)};
        checkArray("compare vectors" ,result_mapInv,v_mapInv.toArray());

        //octave =  v1 .^-1
        FieldVector<Fraction> v_mapInvToSelf = v1.copy();
        v_mapInvToSelf.mapInvToSelf();
        Fraction[] result_mapInvToSelf = {new Fraction(1),new Fraction(1, 2),new Fraction(1, 3)};
        checkArray("compare vectors" ,result_mapInvToSelf,v_mapInvToSelf.toArray());

    }
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Related Classes of fraction.Fraction

  • fraction.FractionTest
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  • org.apache.commons.math3.linear.BlockFieldMatrixTest$SetVisitor
  • org.apache.commons.math3.linear.FieldLUDecompositionTest
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  • org.apache.commons.math3.linear.FieldMatrixImplTest
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