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

Package org.apache.commons.math.fraction

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

org.apache.commons.math.fraction.Fraction
Representation of a rational number. implements Serializable since 2.0 @since 1.1 @version $Revision: 990655 $ $Date: 2010-08-29 23:49:40 +0200 (dim. 29 août 2010) $


    public void testMapFunctions() throws FractionConversionException {
        SparseFieldVector<Fraction> v1 = new SparseFieldVector<Fraction>(field,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)};
        assertEquals("compare vectors" ,result_mapAdd,v_mapAdd.getData());


        //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)};
        assertEquals("compare vectors" ,result_mapAddToSelf,v_mapAddToSelf.getData());


        //octave =  v1 .- 2.0
        FieldVector<Fraction> v_mapSubtract = v1.mapSubtract(new Fraction(2));
        Fraction[] result_mapSubtract = {new Fraction(-1), new Fraction(0), new Fraction(1)};
        assertEquals("compare vectors" ,result_mapSubtract,v_mapSubtract.getData());


        //octave =  v1 .- 2.0
        FieldVector<Fraction> v_mapSubtractToSelf = v1.copy();
        v_mapSubtractToSelf.mapSubtractToSelf(new Fraction(2));
        Fraction[] result_mapSubtractToSelf = {new Fraction(-1), new Fraction(0), new Fraction(1)};
        assertEquals("compare vectors" ,result_mapSubtractToSelf,v_mapSubtractToSelf.getData());


        //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)};
        assertEquals("compare vectors" ,result_mapMultiply,v_mapMultiply.getData());


        //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)};
        assertEquals("compare vectors" ,result_mapMultiplyToSelf,v_mapMultiplyToSelf.getData());


        //octave =  v1 ./ 2.0
        FieldVector<Fraction> v_mapDivide = v1.mapDivide(new Fraction(2));
        Fraction[] result_mapDivide = {new Fraction(.5d), new Fraction(1), new Fraction(1.5d)};
        assertEquals("compare vectors" ,result_mapDivide,v_mapDivide.getData());


        //octave =  v1 ./ 2.0
        FieldVector<Fraction> v_mapDivideToSelf = v1.copy();
        v_mapDivideToSelf.mapDivideToSelf(new Fraction(2));
        Fraction[] result_mapDivideToSelf = {new Fraction(.5d), new Fraction(1), new Fraction(1.5d)};
        assertEquals("compare vectors" ,result_mapDivideToSelf,v_mapDivideToSelf.getData());


        //octave =  v1 .^-1
        FieldVector<Fraction> v_mapInv = v1.mapInv();
        Fraction[] result_mapInv = {new Fraction(1),new Fraction(0.5d),new Fraction(3.333333333333333e-01d)};
        assertEquals("compare vectors" ,result_mapInv,v_mapInv.getData());


        //octave =  v1 .^-1
        FieldVector<Fraction> v_mapInvToSelf = v1.copy();
        v_mapInvToSelf.mapInvToSelf();
        Fraction[] result_mapInvToSelf = {new Fraction(1),new Fraction(0.5d),new Fraction(3.333333333333333e-01d)};
        assertEquals("compare vectors" ,result_mapInvToSelf,v_mapInvToSelf.getData());




    }

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        SparseFieldVector<Fraction> v2_t = new SparseFieldVector<Fraction>(field,vec2);


        //octave =  v1 + v2
        FieldVector<Fraction> v_add = v1.add(v2);
        Fraction[] result_add = {new Fraction(5), new Fraction(7), new Fraction(9)};
        assertEquals("compare vect" ,v_add.getData(),result_add);


        SparseFieldVector<Fraction> vt2 = new SparseFieldVector<Fraction>(field,vec2);
        FieldVector<Fraction> v_add_i = v1.add(vt2);
        Fraction[] result_add_i = {new Fraction(5), new Fraction(7), new Fraction(9)};
        assertEquals("compare vect" ,v_add_i.getData(),result_add_i);


        //octave =  v1 - v2
        SparseFieldVector<Fraction> v_subtract = v1.subtract(v2);
        Fraction[] result_subtract = {new Fraction(-3), new Fraction(-3), new Fraction(-3)};
        assertClose("compare vect" ,v_subtract.getData(),result_subtract,normTolerance);


        FieldVector<Fraction> v_subtract_i = v1.subtract(vt2);
        Fraction[] result_subtract_i = {new Fraction(-3), new Fraction(-3), new Fraction(-3)};
        assertClose("compare vect" ,v_subtract_i.getData(),result_subtract_i,normTolerance);


        // octave v1 .* v2
        FieldVector<Fraction>  v_ebeMultiply = v1.ebeMultiply(v2);
        Fraction[] result_ebeMultiply = {new Fraction(4), new Fraction(10), new Fraction(18)};
        assertClose("compare vect" ,v_ebeMultiply.getData(),result_ebeMultiply,normTolerance);


        FieldVector<Fraction>  v_ebeMultiply_2 = v1.ebeMultiply(v2_t);
        Fraction[] result_ebeMultiply_2 = {new Fraction(4), new Fraction(10), new Fraction(18)};
        assertClose("compare vect" ,v_ebeMultiply_2.getData(),result_ebeMultiply_2,normTolerance);


        // octave v1 ./ v2
        FieldVector<Fraction>  v_ebeDivide = v1.ebeDivide(v2);
        Fraction[] result_ebeDivide = {new Fraction(0.25d), new Fraction(0.4d), new Fraction(0.5d)};
        assertClose("compare vect" ,v_ebeDivide.getData(),result_ebeDivide,normTolerance);


        FieldVector<Fraction>  v_ebeDivide_2 = v1.ebeDivide(v2_t);
        Fraction[] result_ebeDivide_2 = {new Fraction(0.25d), new Fraction(0.4d), new Fraction(0.5d)};
        assertClose("compare vect" ,v_ebeDivide_2.getData(),result_ebeDivide_2,normTolerance);


        // octave  dot(v1,v2)
        Fraction dot =  v1.dotProduct(v2);
        assertEquals("compare val ",new Fraction(32), dot);


        // octave  dot(v1,v2_t)
        Fraction dot_2 =  v1.dotProduct(v2_t);
        assertEquals("compare val ",new Fraction(32), dot_2);


        FieldMatrix<Fraction> m_outerProduct = v1.outerProduct(v2);
        assertEquals("compare val ",new Fraction(4), m_outerProduct.getEntry(0,0));


        FieldMatrix<Fraction> m_outerProduct_2 = v1.outerProduct(v2_t);
        assertEquals("compare val ",new Fraction(4), m_outerProduct_2.getEntry(0,0));


    }

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    }


    public void testPredicates() {


        SparseFieldVector<Fraction> v = new SparseFieldVector<Fraction>(field, new Fraction[] { new Fraction(0), new Fraction(1), new Fraction(2) });


        v.setEntry(0, field.getZero());
        assertEquals(v, new SparseFieldVector<Fraction>(field, new Fraction[] { new Fraction(0), new Fraction(1), new Fraction(2) }));
        assertNotSame(v, new SparseFieldVector<Fraction>(field, new Fraction[] { new Fraction(0), new Fraction(1), new Fraction(2), new Fraction(3) }));


    }

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        if (!matrix.isSquare() || matrix.getRowDimension() != permutation.length) {
            throw new IllegalArgumentException("dimension mismatch");
        }
        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;
            assertEquals(new Fraction(i * 1024 + j, 1024), value);
        }

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        setupFractionArrays();
    }


    private void setupFractionArrays() {
        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 m-n = m + -n */
    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));
            fail("Expecting illegalArgumentException");
        } catch (IllegalArgumentException ex) {
            // ignored

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    /** test sclarAdd */
    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 */
    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) });
        assertEquals(a.getRowDimension(), b.length);
        assertEquals(3.0, b[0].doubleValue(), 1.0e-12);
        assertEquals(7.0, b[1].doubleValue(), 1.0e-12);
        assertEquals(11.0, b[2].doubleValue(), 1.0e-12);
    }

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