Examples of Fraction

cc.redberry.core.tensor.Fraction
This class describes fraction object. Numerator of the fraction can be tensor of any type, without restrictions, but denominator must be a scalar (but not necessary symbol), and constructor throws exception in other case. Fraction returns numerator indices as its indices. Returns @see Tensor @author Dmitry Bolotin @author Stanislav Poslavsky
com.barchart.feed.base.instrument.enums.MarketDisplay.Fraction
com.barchart.util.value.api.Fraction
fraction.Fraction
jmathexpr.arithmetic.equation.rule.Fraction
Rule for eliminating fractions from an equation. @author Elemér Furka
net.imglib2.util.Fraction
Implements the concept of fractions @author Stephan Preibisch
org.apache.commons.lang.math.Fraction

Fraction is a Number implementation that stores fractions accurately.

This class is immutable, and interoperable with most methods that accept a Number.
@author Travis Reeder @author Stephen Colebourne @author Tim O'Brien @author Pete Gieser @author C. Scott Ananian @since 2.0 @version $Id: Fraction.java 161243 2005-04-14 04:30:28Z ggregory $
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) $
org.apache.commons.math3.fraction.Fraction
Representation of a rational number. implements Serializable since 2.0 @since 1.1
org.gstreamer.Fraction
Represents a fraction value.
org.kocakosm.pitaya.math.Fraction
{@code Fraction} is a {@link Number} implementation that represents fractionsaccurately. Instances of this class are immutable. @author Osman KOCAK
ptolemy.math.Fraction
A class for representing fractions. Fractions are immutable and maintained in lowest terms, with a positive denominator. Thus, 1/2 and 2/4 are interpreted as different names for the same number. Any fraction with the value zero is expressed as 0/1 in lowest terms.
This class only represents fractions with a determined value, so fractions with a zero in the denominator are not allowed (including 0/0). @author Stephen Neuendorffer, Adam Cataldo @version $Id: Fraction.java,v 1.50 2007/12/07 06:30:31 cxh Exp $ @since Ptolemy II 0.2 @Pt.ProposedRating Green (neuendor) @Pt.AcceptedRating Yellow (cxh)

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

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


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


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

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

    @Test
    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)};
        Assert.assertArrayEquals("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)};
        Assert.assertArrayEquals("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), new Fraction(0), new Fraction(1)};
        Assert.assertArrayEquals("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), new Fraction(0), new Fraction(1)};
        Assert.assertArrayEquals("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)};
        Assert.assertArrayEquals("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)};
        Assert.assertArrayEquals("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(.5d), new Fraction(1), new Fraction(1.5d)};
        Assert.assertArrayEquals("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(.5d), new Fraction(1), new Fraction(1.5d)};
        Assert.assertArrayEquals("compare vectors" ,result_mapDivideToSelf,v_mapDivideToSelf.toArray());


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




    }

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


        FieldVector<Fraction> v2_t = new ArrayFieldVectorTest.FieldVectorTestImpl<Fraction>(vec2);


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


        FieldVector<Fraction> vt2 = new ArrayFieldVectorTest.FieldVectorTestImpl<Fraction>(vec2);
        FieldVector<Fraction> v_add_i = v1.add(vt2);
        Fraction[] result_add_i = {new Fraction(5), new Fraction(7), new Fraction(9)};
        Assert.assertArrayEquals("compare vect" ,v_add_i.toArray(),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.toArray(),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.toArray(),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.toArray(),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.toArray(),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.toArray(),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.toArray(),result_ebeDivide_2,normTolerance);


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


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


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


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


    }

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


    @Test
    public void testOuterProduct() {
        final SparseFieldVector<Fraction> u
            = new SparseFieldVector<Fraction>(FractionField.getInstance(),
                                              new Fraction[] {new Fraction(1),
                                                              new Fraction(2),
                                                              new Fraction(-3)});
        final SparseFieldVector<Fraction> v
            = new SparseFieldVector<Fraction>(FractionField.getInstance(),
                                              new Fraction[] {new Fraction(4),
                                                              new Fraction(-2)});


        final FieldMatrix<Fraction> uv = u.outerProduct(v);


        final double tol = Math.ulp(1d);
        Assert.assertEquals(new Fraction(4).doubleValue(), uv.getEntry(0, 0).doubleValue(), tol);
        Assert.assertEquals(new Fraction(-2).doubleValue(), uv.getEntry(0, 1).doubleValue(), tol);
        Assert.assertEquals(new Fraction(8).doubleValue(), uv.getEntry(1, 0).doubleValue(), tol);
        Assert.assertEquals(new Fraction(-4).doubleValue(), uv.getEntry(1, 1).doubleValue(), tol);
        Assert.assertEquals(new Fraction(-12).doubleValue(), uv.getEntry(2, 0).doubleValue(), tol);
        Assert.assertEquals(new Fraction(6).doubleValue(), uv.getEntry(2, 1).doubleValue(), tol);
    }

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

    }


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


    }

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

    @Test
    public void testWalkInDefaultOrderPreservingVisitor1() {
        final Fraction[] data = new Fraction[] {
            Fraction.ZERO, Fraction.ONE, Fraction.ZERO,
            Fraction.ZERO, Fraction.TWO, Fraction.ZERO,
            Fraction.ZERO, Fraction.ZERO, new Fraction(3)
        };
        final SparseFieldVector<Fraction> v = new SparseFieldVector<Fraction>(field, data);
        final FieldVectorPreservingVisitor<Fraction> visitor;
        visitor = new FieldVectorPreservingVisitor<Fraction>() {

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

    @Test
    public void testWalkInDefaultOrderPreservingVisitor3() {
        final Fraction[] data = new Fraction[] {
            Fraction.ZERO, Fraction.ONE, Fraction.ZERO,
            Fraction.ZERO, Fraction.TWO, Fraction.ZERO,
            Fraction.ZERO, Fraction.ZERO, new Fraction(3)
        };
        final SparseFieldVector<Fraction> v = new SparseFieldVector<Fraction>(field, data);
        final int expectedStart = 2;
        final int expectedEnd = 7;
        final FieldVectorPreservingVisitor<Fraction> visitor;

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