Package fraction

Examples of fraction.Fraction

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    private Map<Integer, Fraction> javaMap = new HashMap<Integer, Fraction>();
    private FractionField field = FractionField.getInstance();

    @Before
    public void setUp() throws FractionConversionException {
        javaMap.put(50, new Fraction(100.0));
        javaMap.put(75, new Fraction(75.0));
        javaMap.put(25, new Fraction(500.0));
        javaMap.put(Integer.MAX_VALUE, new Fraction(Integer.MAX_VALUE));
        javaMap.put(0, new Fraction(-1.0));
        javaMap.put(1, new Fraction(0.0));
        javaMap.put(33, new Fraction(-0.1));
        javaMap.put(23234234, new Fraction(-242343.0));
        javaMap.put(23321, new Fraction (Integer.MIN_VALUE));
        javaMap.put(-4444, new Fraction(332.0));
        javaMap.put(-1, new Fraction(-2323.0));
        javaMap.put(Integer.MIN_VALUE, new Fraction(44.0));

        /* Add a few more to cause the table to rehash */
        javaMap.putAll(generate());

    }
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        Random r = new Random();
        double dd=0;
        for (int i = 0; i < 2000; ++i)
            dd = r.nextDouble();
            try {
                map.put(r.nextInt(), new Fraction(dd));
            } catch (FractionConversionException e) {
                throw new IllegalStateException("Invalid :"+dd, e);
            }
        return map;
    }
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    @Test
    public void testConcurrentModification() {
        OpenIntToFieldHashMap<Fraction> map = createFromJavaMap(field);
        OpenIntToFieldHashMap<Fraction>.Iterator iterator = map.iterator();
        map.put(3, new Fraction(3));
        try {
            iterator.advance();
            Assert.fail("an exception should have been thrown");
        } catch (ConcurrentModificationException cme) {
            // expected
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     */
    @Test
    public void testPutKeysWithCollisions() {
        OpenIntToFieldHashMap<Fraction> map = new OpenIntToFieldHashMap<Fraction>(field);
        int key1 = -1996012590;
        Fraction value1 = new Fraction(1);
        map.put(key1, value1);
        int key2 = 835099822;
        map.put(key2, value1);
        int key3 = 1008859686;
        map.put(key3, value1);
        Assert.assertEquals(value1, map.get(key3));
        Assert.assertEquals(3, map.size());

        map.remove(key2);
        Fraction value2 = new Fraction(2);
        map.put(key3, value2);
        Assert.assertEquals(value2, map.get(key3));
        Assert.assertEquals(2, map.size());
    }
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     */
    @Test
    public void testPutKeysWithCollision2() {
        OpenIntToFieldHashMap<Fraction>map = new OpenIntToFieldHashMap<Fraction>(field);
        int key1 = 837989881;
        Fraction value1 = new Fraction(1);
        map.put(key1, value1);
        int key2 = 476463321;
        map.put(key2, value1);
        Assert.assertEquals(2, map.size());
        Assert.assertEquals(value1, map.get(key2));

        map.remove(key1);
        Fraction value2 = new Fraction(2);
        map.put(key2, value2);
        Assert.assertEquals(1, map.size());
        Assert.assertEquals(value2, map.get(key2));
    }
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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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        FieldVectorTestImpl<Fraction> v2_t = new FieldVectorTestImpl<Fraction>(vec2);

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

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

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

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

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

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

        // octave v1 ./ v2
        ArrayFieldVector<Fraction>  v_ebeDivide = v1.ebeDivide(v2);
        Fraction[] result_ebeDivide = {new Fraction(1, 4), new Fraction(2, 5), new Fraction(1, 2)};
        checkArray("compare vect" ,v_ebeDivide.getData(),result_ebeDivide);

        FieldVector<Fraction>  v_ebeDivide_2 = v1.ebeDivide(v2_t);
        Fraction[] result_ebeDivide_2 = {new Fraction(1, 4), new Fraction(2, 5), new Fraction(1, 2)};
        checkArray("compare vect" ,v_ebeDivide_2.toArray(),result_ebeDivide_2);

        // 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));

        ArrayFieldVector<Fraction> v_projection = v1.projection(v2);
        Fraction[] result_projection = {new Fraction(128, 77), new Fraction(160, 77), new Fraction(192, 77)};
        checkArray("compare vect", v_projection.getData(), result_projection);

        FieldVector<Fraction> v_projection_2 = v1.projection(v2_t);
        Fraction[] result_projection_2 = {new Fraction(128, 77), new Fraction(160, 77), new Fraction(192, 77)};
        checkArray("compare vect", v_projection_2.toArray(), result_projection_2);

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

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