Package org.apache.commons.math3.analysis.function

Examples of org.apache.commons.math3.analysis.function.Inverse

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    @Test
    public void testAddDifferentiable() {
        UnivariateDifferentiableFunction sin = new Sin();
        UnivariateDifferentiableFunction c = new Constant(4);
        UnivariateDifferentiableFunction m = new Minus();
        UnivariateDifferentiableFunction inv = new Inverse();

        final double a = 123.456;
        Assert.assertEquals(- 1 / (a * a) -1 + Math.cos(a),
                            FunctionUtils.add(inv, m, c, sin).value(new DerivativeStructure(1, 1, 0, a)).getPartialDerivative(1),
                            EPS);
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    @Test
    public void testMultiply() {
        UnivariateFunction c = new Constant(4);
        Assert.assertEquals(16, FunctionUtils.multiply(c, c).value(12345), EPS);

        UnivariateFunction inv = new Inverse();
        UnivariateFunction pow = new Power(2);
        Assert.assertEquals(1, FunctionUtils.multiply(FunctionUtils.compose(inv, pow), pow).value(3.5), EPS);
    }
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        UnivariateDifferentiableFunction c = new Constant(4);
        UnivariateDifferentiableFunction id = new Identity();
        final double a = 1.2345678;
        Assert.assertEquals(8 * a, FunctionUtils.multiply(c, id, id).value(new DerivativeStructure(1, 1, 0, a)).getPartialDerivative(1), EPS);

        UnivariateDifferentiableFunction inv = new Inverse();
        UnivariateDifferentiableFunction pow = new Power(2.5);
        UnivariateDifferentiableFunction cos = new Cos();
        Assert.assertEquals(1.5 * Math.sqrt(a) * Math.cos(a) - Math.pow(a, 1.5) * Math.sin(a),
                            FunctionUtils.multiply(inv, pow, cos).value(new DerivativeStructure(1, 1, 0, a)).getPartialDerivative(1), EPS);

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        UnivariateFunction m = new Minus();
        UnivariateFunction c = FunctionUtils.combine(bi, id, m);
        Assert.assertEquals(0, c.value(2.3456), EPS);

        bi = new Multiply();
        UnivariateFunction inv = new Inverse();
        c = FunctionUtils.combine(bi, id, inv);
        Assert.assertEquals(1, c.value(2.3456), EPS);
    }
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        v_mapAtanToSelf.mapToSelf(new Atan());
        double[] result_mapAtanToSelf = {0.0d,4.636476090008061e-01d,7.853981633974483e-01d};
        assertClose("compare vectors" ,result_mapAtanToSelf,v_mapAtanToSelf.toArray(),normTolerance);

        //octave =  v1 .^-1
        RealVector v_mapInv = v1.map(new Inverse());
        double[] result_mapInv = {1d,0.5d,3.333333333333333e-01d};
        assertClose("compare vectors" ,result_mapInv,v_mapInv.toArray(),normTolerance);

        //octave =  v1 .^-1
        RealVector v_mapInvToSelf = v1.copy();
        v_mapInvToSelf.mapToSelf(new Inverse());
        double[] result_mapInvToSelf = {1d,0.5d,3.333333333333333e-01d};
        assertClose("compare vectors" ,result_mapInvToSelf,v_mapInvToSelf.toArray(),normTolerance);

        double[] abs_a = {-1.0d, 0.0d, 1.0d};
        OpenMapRealVector abs_v = new OpenMapRealVector(abs_a);
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        v_mapAtanToSelf.mapToSelf(new Atan());
        double[] result_mapAtanToSelf = {0.0d,4.636476090008061e-01d,7.853981633974483e-01d};
        assertClose("compare vectors" ,result_mapAtanToSelf,v_mapAtanToSelf.toArray(),normTolerance);

        //octave =  v1 .^-1
        RealVector v_mapInv = v1.map(new Inverse());
        double[] result_mapInv = {1d,0.5d,3.333333333333333e-01d};
        assertClose("compare vectors" ,result_mapInv,v_mapInv.toArray(),normTolerance);

        //octave =  v1 .^-1
        RealVector v_mapInvToSelf = v1.copy();
        v_mapInvToSelf.mapToSelf(new Inverse());
        double[] result_mapInvToSelf = {1d,0.5d,3.333333333333333e-01d};
        assertClose("compare vectors" ,result_mapInvToSelf,v_mapInvToSelf.toArray(),normTolerance);

        double[] abs_a = {-1.0d, 0.0d, 1.0d};
        ArrayRealVector abs_v = new ArrayRealVector(abs_a);
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        UnivariateFunction m = new Minus();
        Assert.assertEquals(-3, FunctionUtils.compose(m).value(3), EPS);
        Assert.assertEquals(3, FunctionUtils.compose(m, m).value(3), EPS);

        UnivariateFunction inv = new Inverse();
        Assert.assertEquals(-0.25, FunctionUtils.compose(inv, m, c, id).value(3), EPS);

        UnivariateFunction pow = new Power(2);
        Assert.assertEquals(81, FunctionUtils.compose(pow, pow).value(3), EPS);
    }
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        DifferentiableUnivariateFunction m = new Minus();
        Assert.assertEquals(-1, FunctionUtils.compose(m).derivative().value(3), EPS);
        Assert.assertEquals(1, FunctionUtils.compose(m, m).derivative().value(3), EPS);

        DifferentiableUnivariateFunction inv = new Inverse();
        Assert.assertEquals(0.25, FunctionUtils.compose(inv, m, id).derivative().value(2), EPS);

        DifferentiableUnivariateFunction pow = new Power(2);
        Assert.assertEquals(108, FunctionUtils.compose(pow, pow).derivative().value(3), EPS);
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    @Test
    public void testAdd() {
        UnivariateFunction id = new Identity();
        UnivariateFunction c = new Constant(4);
        UnivariateFunction m = new Minus();
        UnivariateFunction inv = new Inverse();

        Assert.assertEquals(4.5, FunctionUtils.add(inv, m, c, id).value(2), EPS);
        Assert.assertEquals(4 + 2, FunctionUtils.add(c, id).value(2), EPS);
        Assert.assertEquals(4 - 2, FunctionUtils.add(c, FunctionUtils.compose(m, id)).value(2), EPS);
    }
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    @Test
    public void testAddDifferentiable() {
        DifferentiableUnivariateFunction sin = new Sin();
        DifferentiableUnivariateFunction c = new Constant(4);
        DifferentiableUnivariateFunction m = new Minus();
        DifferentiableUnivariateFunction inv = new Inverse();

        final double a = 123.456;
        Assert.assertEquals(- 1 / (a * a) -1 + Math.cos(a),
                            FunctionUtils.add(inv, m, c, sin).derivative().value(a),
                            EPS);
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Related Classes of org.apache.commons.math3.analysis.function.Inverse

  • 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.FunctionUtilsTest
  • org.apache.commons.math3.analysis.integration.gauss.LegendreHighPrecisionTest
  • org.apache.commons.math3.analysis.integration.gauss.LegendreTest
  • org.apache.commons.math3.analysis.MultivariateFunction
  • org.apache.commons.math3.analysis.QuinticFunction
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