Examples of org.jamesii.core.math.complex.Complex

org.jamesii.core.math.complex.Complex
This class represents a complex number. It has two parts, real and imaginary. Polar coordinates are represented by modulus and argument.
This class is immutable and all arithmetic operations do not alter the object but instead return a new object with the result to allow chaining of operations. If this presents too large a performance impact it could be changed, however all of Java's numeric classes are immutable so this was done out of conformance.
This class inherits from {@link Number} although it does not strictly for thepurpose of it. {@link Number} essentially seems to be a class intended for avery small subset of numbers which does not include complex or hypercomplex numbers. Thus the methods {@link #doubleValue()}, {@link #floatValue()}, {@link #intValue()}, {@link #byteValue()}, {@link #shortValue()} and{@link #longValue()} are defined and implemented but only return the possiblytruncated or rounded real part of the complex number. This is only of limited value but done to allow subclassing {@link Number} as an indication that thisclass represents numbers. @author Johannes Rössel

    assertEquals(c.doubleValue(), c.getReal());
  }


  /** Tests the {@link Complex#floatValue()} method. */
  public void testFloatValue() {
    Complex c = new Complex(Math.random() * 100, Math.random() * 100);
    assertEquals(c.floatValue(), (float) c.getReal());
  }

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    assertEquals(c.floatValue(), (float) c.getReal());
  }


  /** Tests the {@link Complex#intValue()} method. */
  public void testIntValue() {
    Complex c = new Complex(Math.random() * 100, Math.random() * 100);
    assertEquals(c.intValue(), (int) c.getReal());
  }

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    assertEquals(c.intValue(), (int) c.getReal());
  }


  /** Tests the {@link Complex#longValue()} method. */
  public void testLongValue() {
    Complex c = new Complex(Math.random() * 100, Math.random() * 100);
    assertEquals(c.longValue(), (long) c.getReal());
  }

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    assertEquals(c.longValue(), (long) c.getReal());
  }


  /** Tests the {@link Complex#byteValue()} method. */
  public void testByteValue() {
    Complex c = new Complex(Math.random() * 100, Math.random() * 100);
    assertEquals(c.byteValue(), (byte) c.getReal());
  }

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    assertEquals(c.byteValue(), (byte) c.getReal());
  }


  /** Tests the {@link Complex#shortValue()} method. */
  public void testShortValue() {
    Complex c = new Complex(Math.random() * 100, Math.random() * 100);
    assertEquals(c.shortValue(), (short) c.getReal());
  }

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  /**
   * Test abs.
   */
  public void testAbs() {
    // just for good measure -- getModulus is already tested elsewhere
    assertTrue(ComplexMath.abs(new Complex(12, 34)) == new Complex(12, 34)
        .getModulus());
  }

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  /**
   * Test power real.
   */
  public void testPowerReal() {
    checkFields(ComplexMath.pow(new Complex(1, 2), 2), -3, 4, 5, 2.214297436);
    checkFields(ComplexMath.pow(new Complex(-1.5, 2.25), 2), -2.8125, -6.75,
        7.3125, -1.965587446);
    checkFields(ComplexMath.pow(new Complex(0, 1), 2), -1, 0, 1, PI);
    checkFields(ComplexMath.pow(new Complex(0, 1), 3), 0, -1, 1, -.5 * PI);
    checkFields(ComplexMath.pow(new Complex(0, 1), 4), 1, 0, 1, 0);
    checkFields(ComplexMath.pow(new Complex(1, 2), 4), -7, -24, 25,
        -1.854590436);
    checkFields(ComplexMath.pow(new Complex(-4.5, 3), 1.2), -7.557483862,
        .585242733, 7.580110249, 3.06430806);
  }

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  /**
   * Test power complex.
   */
  public void testPowerComplex() {
    checkFields(ComplexMath.pow(new Complex(0, 1), new Complex(0, 1)),
        exp(-PI / 2), 0, exp(-PI / 2), 0);
    checkFields(ComplexMath.pow(new Complex(1, 1), new Complex(1, 1)),
        0.2739572538, 0.5837007588, sqrt(2) * exp(-PI / 4), .25 * PI + .5
            * log(2));
    // check whether power(double) as special case (with different computation)
    // yields the same results:
    Complex a = ComplexMath.pow(new Complex(1, 2), (4.5));
    Complex b = ComplexMath.pow(new Complex(1, 2), new Complex(4.5));
    checkFields(a, b.getReal(), b.getImaginary(), b.getModulus(),
        b.getArgument());
  }

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   */
  public void testSqrt() {
    Complex[] x;


    // trivial case, square root of a positive real number
    x = ComplexMath.sqrt(new Complex(4, 0));
    assertTrue(x.length == 2);
    for (int i = 0; i < x.length; i++) {
      assertTrue(approximatelyEqual(x[i], new Complex(2, 0))
          || approximatelyEqual(x[i], new Complex(-2, 0)));
    }


    // square root of a negative real number
    x = ComplexMath.sqrt(new Complex(-9, 0));
    assertTrue(x.length == 2);
    for (int i = 0; i < x.length; i++) {
      assertTrue(approximatelyEqual(x[i], new Complex(0, 3))
          || approximatelyEqual(x[i], new Complex(0, -3)));
    }


    // square root of complex number
    x = ComplexMath.sqrt(new Complex(1, 2));
    assertTrue(x.length == 2);
    for (int i = 0; i < x.length; i++) {
      assertTrue(approximatelyEqual(x[i], new Complex(-1.2720196495140690,
          -0.7861513777574233))
          || approximatelyEqual(x[i], new Complex(1.2720196495140690,
              0.7861513777574233)));
    }
  }

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   */
  public void testCbrt() {
    Complex[] x;


    // Trivial case, square root of a positive real number
    x = ComplexMath.cbrt(new Complex(8, 0));
    assertTrue(x.length == 3);
    for (int i = 0; i < x.length; i++) {
      assertTrue(approximatelyEqual(x[i], new Complex(-1, -1.7320508075688773))
          || approximatelyEqual(x[i], new Complex(-1, 1.7320508075688773))
          || approximatelyEqual(x[i], new Complex(2, 0)));
    }


    // Square root of a negative real number
    x = ComplexMath.cbrt(new Complex(-9, 0));
    assertTrue(x.length == 3);
    for (int i = 0; i < x.length; i++) {
      assertTrue(approximatelyEqual(x[i], new Complex(-2.0800838230519041, 0))
          || approximatelyEqual(x[i], new Complex(1.0400419115259521,
              -1.8014054327640041))
          || approximatelyEqual(x[i], new Complex(1.0400419115259521,
              1.8014054327640041)));
    }


    // Square root of complex number
    x = ComplexMath.cbrt(new Complex(8, -23));
    assertTrue(x.length == 3);
    for (int i = 0; i < x.length; i++) {
      assertTrue(approximatelyEqual(x[i], new Complex(-2.3332080247967582,
          -1.7197495217100161))
          || approximatelyEqual(x[i], new Complex(-0.3227427615486328,
              2.8804921826427131))
          || approximatelyEqual(x[i], new Complex(2.6559507863453910,
              -1.1607426609326970)));
    }
  }

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Related Classes of org.jamesii.core.math.complex.Complex

org.jamesii.core.math.complex.TestComplex

org.jamesii.core.math.complex.TestComplexArray1D

org.jamesii.core.math.complex.TestComplexMath

org.jamesii.core.math.FFT

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