DRA Systems: OR-Objects 1.2.4: Class Complex

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drasys.or
Class Complex

java.lang.Object
  |
  +--drasys.or.Complex

public class Complex
extends java.lang.Object
implements ComplexI

An implementation of a complex value.

Field Summary

double imag


double real


Constructor Summary

Complex()


Complex(ComplexI c)


Complex(double r)


Complex(double r, double i)


Method Summary

Complex add(ComplexI a)
          Compute: this = this + a;

static Complex add(ComplexI a, ComplexI b)
          Compute: result = a + b;

static Complex add(ComplexI a, ComplexI b, Complex results)
          Compute: result = a + b;

Complex add(double r)
          Compute: this = this + (r,0);

Complex add(double r, double i)
          Compute: this = this + (r,i);

static Complex add(double r1, double i1, double r2, double i2, Complex results)
          Compute: result = (r1,i1) + (r2,i2);

Complex conjugate()
          Compute: this = conjugate(this).

Complex divide(ComplexI a)
          Compute: this = this / a;

static Complex divide(ComplexI a, ComplexI b)
          Compute: result = a / b;

static Complex divide(ComplexI a, ComplexI b, Complex results)
          Compute: result = a / b;

Complex divide(double r)
          Compute: this = this / (r,0);

Complex divide(double r, double i)
          Compute: this = this / (r,i);

static Complex divide(double r1, double i1, double r2, double i2, Complex results)
          Compute: result = (r1,i1) / (r2,i2);

boolean equals(ComplexI a)
          returns 'true' if this is equal to 'a'.

static boolean equals(ComplexI a, ComplexI b, double epsilon)
          returns 'true' if a is equal to b to within 'epsilon'.

boolean equals(ComplexI a, double epsilon)
          returns 'true' if this is equal to 'a' to within 'epsilon'.

boolean equals(double r, double i)
          returns 'true' if this is equal to (r,i).

boolean equals(double r, double i, double epsilon)
          returns 'true' if this is equal to (r,i) to within 'epsilon'.

static boolean equals(double r1, double i1, double r2, double i2, double epsilon)
          returns 'true' if (r1,i1) is equal to (r2,i2) to within 'epsilon'.

boolean equals(java.lang.Object o)
          returns 'true' this is equal to 'o'.

double getImag()
          Return the imaginary part;

double getReal()
          Return the real part.

Complex invert()
          Compute: this = (1,0)/this.

static Complex invert(ComplexI a)
          Compute: new = (1,0)/a.

static Complex invert(ComplexI a, Complex results)
          Compute: results = (1,0)/a.

static Complex invert(double real, double imag, Complex results)
          Compute: results = (1,0)/(real,imag).

double modulus()
          Computes sqrt(this.real^2 + this.imag^2).

static double modulus(ComplexI a)
          Computes sqrt(real^2 + imag^2).

static double modulus(double real, double imag)
          Computes sqrt(real^2 + imag^2).

Complex multiply(ComplexI a)
          Compute: this = this * a;

static Complex multiply(ComplexI a, ComplexI b)
          Compute: result = a * b;

static Complex multiply(ComplexI a, ComplexI b, Complex results)
          Compute: result = a * b;

Complex multiply(double r)
          Compute: this = this * (r,0);

Complex multiply(double r, double i)
          Compute: this = this * (r,i);

static Complex multiply(double r1, double i1, double r2, double i2, Complex results)
          Compute: result = (r1,i1) * (r2,i2);

Complex set(ComplexI a)
          Sets this equal to a;

Complex set(double r, double i)
          Sets this equal to a;

Complex sqrt()
          Compute: this = this^0.5.

static Complex sqrt(ComplexI a)
          Compute: new = a^0.5.

static Complex sqrt(ComplexI a, Complex results)
          Compute: results = a^0.5.

static Complex sqrt(double real, double imag, Complex results)
          Compute: results = (real,imag)^0.5.

Complex subtract(ComplexI a)
          Compute: this = this - a;

static Complex subtract(ComplexI a, ComplexI b)
          Compute: result = a - b;

static Complex subtract(ComplexI a, ComplexI b, Complex results)
          Compute: result = a - b;

Complex subtract(double r)
          Compute: this = this - (r,0);

Complex subtract(double r, double i)
          Compute: this = this - (r,i);

static Complex subtract(double r1, double i1, double r2, double i2, Complex results)
          Compute: result = (r1,i1) - (r2,i2);

java.lang.String toString()
          Returns a string representation of this complex number.

Methods inherited from class java.lang.Object

clone, finalize, getClass, hashCode, notify, notifyAll, wait, wait, wait

Field Detail

real

public double real

imag

public double imag

Constructor Detail

Complex

public Complex()

Complex

public Complex(double r)

Complex

public Complex(double r,
               double i)

Complex

public Complex(ComplexI c)

Method Detail

modulus

public static double modulus(double real,
                             double imag)

Computes sqrt(real^2 + imag^2).

modulus

public static double modulus(ComplexI a)

Computes sqrt(real^2 + imag^2).

modulus

public double modulus()

Computes sqrt(this.real^2 + this.imag^2).

invert

public static Complex invert(double real,
                             double imag,
                             Complex results)

Compute: results = (1,0)/(real,imag).

Returns:: 'results' if its not null, a new 'Complex' otherwise.

invert

public static Complex invert(ComplexI a)

Compute: new = (1,0)/a.

Returns:: A new 'Complex'.

invert

public static Complex invert(ComplexI a,
                             Complex results)

Compute: results = (1,0)/a.

Returns:: 'results' if its not null, a new 'Complex' otherwise.

invert

public Complex invert()

Compute: this = (1,0)/this.

Returns:: this.

sqrt

public static Complex sqrt(double real,
                           double imag,
                           Complex results)

Compute: results = (real,imag)^0.5.

Returns:: 'results' if its not null, a new 'Complex' otherwise.

sqrt

public static Complex sqrt(ComplexI a)

Compute: new = a^0.5.

Returns:: A new 'Complex'.

sqrt

public static Complex sqrt(ComplexI a,
                           Complex results)

Compute: results = a^0.5.

Returns:: 'results' if its not null, a new 'Complex' otherwise.

sqrt

public Complex sqrt()

Compute: this = this^0.5.

Returns:: this.

conjugate

public Complex conjugate()

Compute: this = conjugate(this).

Returns:: this

add

public static Complex add(double r1,
                          double i1,
                          double r2,
                          double i2,
                          Complex results)

Compute: result = (r1,i1) + (r2,i2);

Returns:: 'results' if its not null, a new 'Complex' otherwise.

add

public static Complex add(ComplexI a,
                          ComplexI b,
                          Complex results)

Compute: result = a + b;

Returns:: 'results' if its not null, a new 'Complex' otherwise.

add

public static Complex add(ComplexI a,
                          ComplexI b)

Compute: result = a + b;

Returns:: A new 'Complex'.

add

public Complex add(double r,
                   double i)

Compute: this = this + (r,i);

Returns:: this

add

public Complex add(double r)

Compute: this = this + (r,0);

Returns:: this

add

public Complex add(ComplexI a)

Compute: this = this + a;

Returns:: this

subtract

public static Complex subtract(double r1,
                               double i1,
                               double r2,
                               double i2,
                               Complex results)

Compute: result = (r1,i1) - (r2,i2);

Returns:: 'results' if its not null, a new 'Complex' otherwise.

subtract

public static Complex subtract(ComplexI a,
                               ComplexI b,
                               Complex results)

Compute: result = a - b;

Returns:: 'results' if its not null, a new 'Complex' otherwise.

subtract

public static Complex subtract(ComplexI a,
                               ComplexI b)

Compute: result = a - b;

Returns:: A new 'Complex'.

subtract

public Complex subtract(double r,
                        double i)

Compute: this = this - (r,i);

Returns:: this

subtract

public Complex subtract(double r)

Compute: this = this - (r,0);

Returns:: this

subtract

public Complex subtract(ComplexI a)

Compute: this = this - a;

Returns:: this

multiply

public static Complex multiply(double r1,
                               double i1,
                               double r2,
                               double i2,
                               Complex results)

Compute: result = (r1,i1) * (r2,i2);

Returns:: 'results' if its not null, a new 'Complex' otherwise.

multiply

public static Complex multiply(ComplexI a,
                               ComplexI b,
                               Complex results)

Compute: result = a * b;

Returns:: 'results' if its not null, a new 'Complex' otherwise.

multiply

public static Complex multiply(ComplexI a,
                               ComplexI b)

Compute: result = a * b;

Returns:: A new 'Complex'.

multiply

public Complex multiply(double r,
                        double i)

Compute: this = this * (r,i);

Returns:: this

multiply

public Complex multiply(double r)

Compute: this = this * (r,0);

Returns:: this

multiply

public Complex multiply(ComplexI a)

Compute: this = this * a;

Returns:: this

divide

public static Complex divide(double r1,
                             double i1,
                             double r2,
                             double i2,
                             Complex results)

Compute: result = (r1,i1) / (r2,i2);

Returns:: 'results' if its not null, a new 'Complex' otherwise.

divide

public static Complex divide(ComplexI a,
                             ComplexI b,
                             Complex results)

Compute: result = a / b;

Returns:: 'results' if its not null, a new 'Complex' otherwise.

divide

public static Complex divide(ComplexI a,
                             ComplexI b)

Compute: result = a / b;

Returns:: A new 'Complex'.

divide

public Complex divide(double r,
                      double i)

Compute: this = this / (r,i);

Returns:: this

divide

public Complex divide(double r)

Compute: this = this / (r,0);

Returns:: this

divide

public Complex divide(ComplexI a)

Compute: this = this / a;

Returns:: this

set

public Complex set(double r,
                   double i)

Sets this equal to a;

Returns:: this

set

public Complex set(ComplexI a)

Sets this equal to a;

Returns:: this

getReal

public double getReal()

Return the real part.

Specified by:: getReal in interface ComplexI

getImag

public double getImag()

Return the imaginary part;

Specified by:: getImag in interface ComplexI

equals

public static boolean equals(double r1,
                             double i1,
                             double r2,
                             double i2,
                             double epsilon)

returns 'true' if (r1,i1) is equal to (r2,i2) to within 'epsilon'.

equals

public static boolean equals(ComplexI a,
                             ComplexI b,
                             double epsilon)

returns 'true' if a is equal to b to within 'epsilon'.

equals

public boolean equals(double r,
                      double i)

returns 'true' if this is equal to (r,i).

equals

public boolean equals(ComplexI a)

returns 'true' if this is equal to 'a'.

equals

public boolean equals(double r,
                      double i,
                      double epsilon)

returns 'true' if this is equal to (r,i) to within 'epsilon'.

equals

public boolean equals(ComplexI a,
                      double epsilon)

returns 'true' if this is equal to 'a' to within 'epsilon'.

equals

public boolean equals(java.lang.Object o)

returns 'true' this is equal to 'o'.

Overrides:: equals in class java.lang.Object

toString

public java.lang.String toString()

Returns a string representation of this complex number.

Overrides:: toString in class java.lang.Object

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Constructor Summary
`Complex()`
`Complex(ComplexI c)`
`Complex(double r)`
`Complex(double r, double i)`

Method Summary
`Complex`	`add(ComplexI a)` Compute: this = this + a;
`static Complex`	`add(ComplexI a, ComplexI b)` Compute: result = a + b;
`static Complex`	`add(ComplexI a, ComplexI b, Complex results)` Compute: result = a + b;
`Complex`	`add(double r)` Compute: this = this + (r,0);
`Complex`	`add(double r, double i)` Compute: this = this + (r,i);
`static Complex`	`add(double r1, double i1, double r2, double i2, Complex results)` Compute: result = (r1,i1) + (r2,i2);
`Complex`	`conjugate()` Compute: this = conjugate(this).
`Complex`	`divide(ComplexI a)` Compute: this = this / a;
`static Complex`	`divide(ComplexI a, ComplexI b)` Compute: result = a / b;
`static Complex`	`divide(ComplexI a, ComplexI b, Complex results)` Compute: result = a / b;
`Complex`	`divide(double r)` Compute: this = this / (r,0);
`Complex`	`divide(double r, double i)` Compute: this = this / (r,i);
`static Complex`	`divide(double r1, double i1, double r2, double i2, Complex results)` Compute: result = (r1,i1) / (r2,i2);
`boolean`	`equals(ComplexI a)` returns 'true' if this is equal to 'a'.
`static boolean`	`equals(ComplexI a, ComplexI b, double epsilon)` returns 'true' if a is equal to b to within 'epsilon'.
`boolean`	`equals(ComplexI a, double epsilon)` returns 'true' if this is equal to 'a' to within 'epsilon'.
`boolean`	`equals(double r, double i)` returns 'true' if this is equal to (r,i).
`boolean`	`equals(double r, double i, double epsilon)` returns 'true' if this is equal to (r,i) to within 'epsilon'.
`static boolean`	`equals(double r1, double i1, double r2, double i2, double epsilon)` returns 'true' if (r1,i1) is equal to (r2,i2) to within 'epsilon'.
`boolean`	`equals(java.lang.Object o)` returns 'true' this is equal to 'o'.
`double`	`getImag()` Return the imaginary part;
`double`	`getReal()` Return the real part.
`Complex`	`invert()` Compute: this = (1,0)/this.
`static Complex`	`invert(ComplexI a)` Compute: new = (1,0)/a.
`static Complex`	`invert(ComplexI a, Complex results)` Compute: results = (1,0)/a.
`static Complex`	`invert(double real, double imag, Complex results)` Compute: results = (1,0)/(real,imag).
`double`	`modulus()` Computes sqrt(this.real^2 + this.imag^2).
`static double`	`modulus(ComplexI a)` Computes sqrt(real^2 + imag^2).
`static double`	`modulus(double real, double imag)` Computes sqrt(real^2 + imag^2).
`Complex`	`multiply(ComplexI a)` Compute: this = this * a;
`static Complex`	`multiply(ComplexI a, ComplexI b)` Compute: result = a * b;
`static Complex`	`multiply(ComplexI a, ComplexI b, Complex results)` Compute: result = a * b;
`Complex`	`multiply(double r)` Compute: this = this * (r,0);
`Complex`	`multiply(double r, double i)` Compute: this = this * (r,i);
`static Complex`	`multiply(double r1, double i1, double r2, double i2, Complex results)` Compute: result = (r1,i1) * (r2,i2);
`Complex`	`set(ComplexI a)` Sets this equal to a;
`Complex`	`set(double r, double i)` Sets this equal to a;
`Complex`	`sqrt()` Compute: this = this^0.5.
`static Complex`	`sqrt(ComplexI a)` Compute: new = a^0.5.
`static Complex`	`sqrt(ComplexI a, Complex results)` Compute: results = a^0.5.
`static Complex`	`sqrt(double real, double imag, Complex results)` Compute: results = (real,imag)^0.5.
`Complex`	`subtract(ComplexI a)` Compute: this = this - a;
`static Complex`	`subtract(ComplexI a, ComplexI b)` Compute: result = a - b;
`static Complex`	`subtract(ComplexI a, ComplexI b, Complex results)` Compute: result = a - b;
`Complex`	`subtract(double r)` Compute: this = this - (r,0);
`Complex`	`subtract(double r, double i)` Compute: this = this - (r,i);
`static Complex`	`subtract(double r1, double i1, double r2, double i2, Complex results)` Compute: result = (r1,i1) - (r2,i2);
`java.lang.String`	`toString()` Returns a string representation of this complex number.

drasys.or Class Complex

real

imag

Complex

Complex

Complex

Complex

modulus

modulus

modulus

invert

invert

invert

invert

sqrt

sqrt

sqrt

sqrt

conjugate

add

add

add

add

add

add

subtract

subtract

subtract

subtract

subtract

subtract

multiply

multiply

multiply

multiply

multiply

multiply

divide

divide

divide

divide

divide

divide

set

set

getReal

getImag

equals

equals

equals

equals

equals

equals

equals

toString

drasys.or
Class Complex