Examples of org.apache.commons.math.complex.Complex.abs()

Class org.apache.commons.math.complex.Complex

Examples of org.apache.commons.math.complex.Complex.abs()

org.apache.commons.math.complex.Complex.abs()
Return the absolute value of this complex number.
Returns NaN if either real or imaginary part is NaN and Double.POSITIVE_INFINITY if neither part is NaN, but at least one part takes an infinite value.
@return the absolute value

                    FastMath.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);


        expected = new Complex(0.5, -0.5 * FastMath.sqrt(3.0));
        tolerance = FastMath.max(solver.getAbsoluteAccuracy(),
                    FastMath.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);
    }


    /**
     * Test of parameters for the solver.

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        LaguerreSolver solver = new LaguerreSolver();
        result = solver.solveAll(coefficients, initial);


        expected = new Complex(0.0, -2.0);
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);


        expected = new Complex(0.0, 2.0);
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));

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                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);


        expected = new Complex(0.0, 2.0);
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);


        expected = new Complex(0.5, 0.5 * Math.sqrt(3.0));
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));

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                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);


        expected = new Complex(0.5, 0.5 * Math.sqrt(3.0));
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);


        expected = new Complex(-1.0, 0.0);
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));

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                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);


        expected = new Complex(-1.0, 0.0);
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);
        
        expected = new Complex(0.5, -0.5 * Math.sqrt(3.0));
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));

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                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);
        
        expected = new Complex(0.5, -0.5 * Math.sqrt(3.0));
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);
    }


    /**
     * Test of parameters for the solver.

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            delta = N1.multiply((N.multiply(H)).subtract(G2));
            // choose a denominator larger in magnitude
            Complex deltaSqrt = delta.sqrt();
            Complex dplus = G.add(deltaSqrt);
            Complex dminus = G.subtract(deltaSqrt);
            denominator = dplus.abs() > dminus.abs() ? dplus : dminus;
            // Perturb z if denominator is zero, for instance,
            // p(x) = x^3 + 1, z = 0.
            if (denominator.equals(new Complex(0.0, 0.0))) {
                z = z.add(new Complex(absoluteAccuracy, absoluteAccuracy));
                oldz = new Complex(Double.POSITIVE_INFINITY,

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            delta = N1.multiply((N.multiply(H)).subtract(G2));
            // choose a denominator larger in magnitude
            Complex deltaSqrt = delta.sqrt();
            Complex dplus = G.add(deltaSqrt);
            Complex dminus = G.subtract(deltaSqrt);
            denominator = dplus.abs() > dminus.abs() ? dplus : dminus;
            // Perturb z if denominator is zero, for instance,
            // p(x) = x^3 + 1, z = 0.
            if (denominator.equals(new Complex(0.0, 0.0))) {
                z = z.add(new Complex(absoluteAccuracy, absoluteAccuracy));
                oldz = new Complex(Double.POSITIVE_INFINITY,

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        LaguerreSolver solver = new LaguerreSolver(f);
        result = solver.solveAll(coefficients, initial);


        expected = new Complex(0.0, -2.0);
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);


        expected = new Complex(0.0, 2.0);
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));

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                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);


        expected = new Complex(0.0, 2.0);
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));
        TestUtils.assertContains(result, expected, tolerance);


        expected = new Complex(0.5, 0.5 * Math.sqrt(3.0));
        tolerance = Math.max(solver.getAbsoluteAccuracy(),
                    Math.abs(expected.abs() * solver.getRelativeAccuracy()));

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