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

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

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    @Test
    public void testAllMonomials() {
        for (int n = 0; n <= maxDegree; n++) {
            final double expected = getExpectedValue(n);

            final Power monomial = new Power(n);
            final double actual = integrator.integrate(monomial);

            // System.out.println(n + "/" + maxDegree + " " + integrator.getNumberOfPoints()
            //                    + " " + expected + " " + actual + " " + Math.ulp(expected));
            if (expected == 0) {
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        TestUtils.assertEquals(f.getClass().getSimpleName(), expected, actual, 1E-16);
    }

    private UnivariateFunction[] createFunctions() {
        return new UnivariateFunction[] {
            new Power(2.0), new Exp(), new Expm1(), new Log(), new Log10(),
            new Log1p(), new Cosh(), new Sinh(), new Tanh(), new Cos(),
            new Sin(), new Tan(), new Acos(), new Asin(), new Atan(),
            new Inverse(), new Abs(), new Sqrt(), new Cbrt(), new Ceil(),
            new Floor(), new Rint(), new Signum(), new Ulp()
        };
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    @Test
    public void testAllMonomials() {
        for (int n = 0; n <= maxDegree; n++) {
            final double expected = getExpectedValue(n);

            final Power monomial = new Power(n);
            final double actual = integrator.integrate(monomial);

            // System.out.println(n + "/" + maxDegree + " " + integrator.getNumberOfPoints()
            //                    + " " + expected + " " + actual + " " + Math.ulp(expected));
            if (expected == 0) {
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        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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        Assert.assertEquals(1, FunctionUtils.compose(m, m).value(new DerivativeStructure(1, 1, 0, 3)).getPartialDerivative(1), EPS);

        UnivariateDifferentiableFunction inv = new Inverse();
        Assert.assertEquals(0.25, FunctionUtils.compose(inv, m, id).value(new DerivativeStructure(1, 1, 0, 2)).getPartialDerivative(1), EPS);

        UnivariateDifferentiableFunction pow = new Power(2);
        Assert.assertEquals(108, FunctionUtils.compose(pow, pow).value(new DerivativeStructure(1, 1, 0, 3)).getPartialDerivative(1), EPS);

        UnivariateDifferentiableFunction log = new Log();
        double a = 9876.54321;
        Assert.assertEquals(pow.value(new DerivativeStructure(1, 1, 0, a)).getPartialDerivative(1) / pow.value(a),
                            FunctionUtils.compose(log, pow).value(new DerivativeStructure(1, 1, 0, a)).getPartialDerivative(1), EPS);
    }
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    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 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);

        UnivariateDifferentiableFunction cosh = new Cosh();
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    @Test
    public void testFixingArguments() {
        UnivariateFunction scaler = FunctionUtils.fix1stArgument(new Multiply(), 10);
        Assert.assertEquals(1.23456, scaler.value(0.123456), EPS);

        UnivariateFunction pow1 = new Power(2);
        UnivariateFunction pow2 = FunctionUtils.fix2ndArgument(new Pow(), 2);

        for (int i = 0; i < 10; i++) {
            double x = Math.random() * 10;
            Assert.assertEquals(pow1.value(x), pow2.value(x), 0);
        }
    }
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        v_mapDivideToSelf.mapDivideToSelf(2.0d);
        double[] result_mapDivideToSelf = {.5d, 1d, 1.5d};
        assertClose("compare vectors" ,result_mapDivideToSelf,v_mapDivideToSelf.toArray(),normTolerance);

        //octave =  v1 .^ 2.0
        RealVector v_mapPow = v1.map(new Power(2));
        double[] result_mapPow = {1d, 4d, 9d};
        assertClose("compare vectors" ,result_mapPow,v_mapPow.toArray(),normTolerance);

        //octave =  v1 .^ 2.0
        RealVector v_mapPowToSelf = v1.copy();
        v_mapPowToSelf.mapToSelf(new Power(2));
        double[] result_mapPowToSelf = {1d, 4d, 9d};
        assertClose("compare vectors" ,result_mapPowToSelf,v_mapPowToSelf.toArray(),normTolerance);

        //octave =  exp(v1)
        RealVector v_mapExp = v1.map(new Exp());
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        v_mapDivideToSelf.mapDivideToSelf(2.0d);
        double[] result_mapDivideToSelf = {.5d, 1d, 1.5d};
        assertClose("compare vectors" ,result_mapDivideToSelf,v_mapDivideToSelf.toArray(),normTolerance);

        //octave =  v1 .^ 2.0
        RealVector v_mapPow = v1.map(new Power(2));
        double[] result_mapPow = {1d, 4d, 9d};
        assertClose("compare vectors" ,result_mapPow,v_mapPow.toArray(),normTolerance);

        //octave =  v1 .^ 2.0
        RealVector v_mapPowToSelf = v1.copy();
        v_mapPowToSelf.mapToSelf(new Power(2));
        double[] result_mapPowToSelf = {1d, 4d, 9d};
        assertClose("compare vectors" ,result_mapPowToSelf,v_mapPowToSelf.toArray(),normTolerance);

        //octave =  exp(v1)
        RealVector v_mapExp = v1.map(new Exp());
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Related Classes of org.apache.commons.math3.analysis.function.Power

  • 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.GaussianQuadratureAbstractTest
  • org.apache.commons.math3.analysis.MultivariateFunction
  • org.apache.commons.math3.analysis.QuinticFunction
  • org.apache.commons.math3.analysis.solvers.BrentSolver
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