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Class JSci.maths.Complex 

java.lang.Object
   |
   +----JSci.maths.Complex
public final class Complex
extends Object
implements FieldMember, Serializable
The Complex class encapsulates complex numbers.

Variable Index

o I
The complex number 0+1i.
o ONE
The complex number 1+0i.
o ZERO
The complex number 0+0i.

Constructor Index

o Complex(double, double)
Constructs the complex number x+iy.
o Complex(String)
Constructs the complex number represented by a string.

Method Index

o acos(Complex)
Returns the arc cosine of a complex number, in the range of (0.0 through pi, 0.0 through infinity).
o acosh(Complex)
Returns the arc hyperbolic cosine of a complex number, in the range of (0.0 through infinity, 0.0 through pi).
o add(AbelianGroupMember)
Returns the addition of this number and another.
o add(Complex)
Returns the addition of this complex number and another.
o addImag(double)
Returns the addition of this complex number with an imaginary part.
o addReal(double)
Returns the addition of this complex number with a real part.
o arg()
Returns the argument of this complex number.
o asin(Complex)
Returns the arc sine of a complex number, in the range of (-pi/2 through pi/2, -infinity through infinity).
o asinh(Complex)
Returns the arc hyperbolic sine of a complex number, in the range of (-infinity through infinity, -pi/2 through pi/2).
o atan(Complex)
Returns the arc tangent of a complex number, in the range of (-pi/2 through pi/2, -infinity through infinity).
o atanh(Complex)
Returns the arc hyperbolic tangent of a complex number, in the range of (-infinity through infinity, -pi/2 through pi/2).
o conjugate()
Returns the complex conjugate of this complex number.
o cos(Complex)
Returns the trigonometric cosine of a complex angle.
o cosh(Complex)
Returns the hyperbolic cosine of a complex number.
o divide(Complex)
Returns the division of this complex number by another.
o divide(double)
Returns the division of this complex number by a scalar.
o divide(FieldMember)
Returns the division of this number and another.
o equals(Object)
Compares two complex numbers for equality.
o exp(Complex)
Returns the exponential number e(2.718...) raised to the power of a complex number.
o hashCode()
Returns a hashcode for this complex number.
o imag()
Returns the imaginary part of this complex number.
o inverse()
Returns the inverse of this complex number.
o isInfinite()
Returns true if either the real or imaginary part is infinite.
o isNaN()
Returns true if either the real or imaginary part is NaN.
o log(Complex)
Returns the natural logarithm (base e) of a complex number.
o mod()
Returns the modulus of this complex number.
o multiply(Complex)
Returns the multiplication of this complex number and another.
o multiply(double)
Returns the multiplication of this complex number by a scalar.
o multiply(RingMember)
Returns the multiplication of this number and another.
o negate()
Returns the negative of this complex number.
o polar(double, double)
Creates a complex number with the given modulus and argument.
o pow(Complex)
Returns this complex number raised to the power of another.
o pow(double)
Returns this complex number raised to the power of a scalar.
o real()
Returns the real part of this complex number.
o sin(Complex)
Returns the trigonometric sine of a complex angle.
o sinh(Complex)
Returns the hyperbolic sine of a complex number.
o sqr()
Returns the square of this complex number.
o sqrt()
Returns the square root of this complex number.
o subtract(AbelianGroupMember)
Returns the subtraction of this number and another.
o subtract(Complex)
Returns the subtraction of this complex number by another.
o subtractImag(double)
Returns the subtraction of this complex number by an imaginary part.
o subtractReal(double)
Returns the subtraction of this complex number by a real part.
o tan(Complex)
Returns the trigonometric tangent of a complex angle.
o tanh(Complex)
Returns the hyperbolic tangent of a complex number.
o toString()
Returns a string representing the value of this complex number.

Variables

o I 
 public static final Complex I
The complex number 0+1i.

o ONE 
 public static final Complex ONE
The complex number 1+0i.

o ZERO 
 public static final Complex ZERO
The complex number 0+0i.

Constructors

o Complex 
 public Complex(double x,
                double y)
Constructs the complex number x+iy.

Parameters:
x - the real value of a complex number
y - the imaginary value of a complex number
o Complex 
 public Complex(String s) throws NumberFormatException
Constructs the complex number represented by a string.

Parameters:
s - a string representing a complex number
Throws: NumberFormatException
if the string does not contain a parsable number.

Methods

o polar 
 public static Complex polar(double mod,
                             double arg)
Creates a complex number with the given modulus and argument.

Parameters:
mod - the modulus of a complex number
arg - the argument of a complex number
o equals 
 public boolean equals(Object obj)
Compares two complex numbers for equality.

Parameters:
obj - a complex number
Overrides:
equals in class Object
o toString 
 public String toString()
Returns a string representing the value of this complex number.

Overrides:
toString in class Object
o hashCode 
 public int hashCode()
Returns a hashcode for this complex number.

Overrides:
hashCode in class Object
o isNaN 
 public boolean isNaN()
Returns true if either the real or imaginary part is NaN.

o isInfinite 
 public boolean isInfinite()
Returns true if either the real or imaginary part is infinite.

o real 
 public double real()
Returns the real part of this complex number.

o imag 
 public double imag()
Returns the imaginary part of this complex number.

o mod 
 public double mod()
Returns the modulus of this complex number.

o arg 
 public double arg()
Returns the argument of this complex number.

o negate 
 public AbelianGroupMember negate()
Returns the negative of this complex number.

o inverse 
 public FieldMember inverse()
Returns the inverse of this complex number.

o conjugate 
 public Complex conjugate()
Returns the complex conjugate of this complex number.

o add 
 public AbelianGroupMember add(AbelianGroupMember x)
Returns the addition of this number and another.

o add 
 public Complex add(Complex z)
Returns the addition of this complex number and another.

Parameters:
z - a complex number
o addReal 
 public Complex addReal(double real)
Returns the addition of this complex number with a real part.

Parameters:
real - a real part
o addImag 
 public Complex addImag(double imag)
Returns the addition of this complex number with an imaginary part.

Parameters:
imag - an imaginary part
o subtract 
 public AbelianGroupMember subtract(AbelianGroupMember x)
Returns the subtraction of this number and another.

o subtract 
 public Complex subtract(Complex z)
Returns the subtraction of this complex number by another.

Parameters:
z - a complex number
o subtractReal 
 public Complex subtractReal(double real)
Returns the subtraction of this complex number by a real part.

Parameters:
real - a real part
o subtractImag 
 public Complex subtractImag(double imag)
Returns the subtraction of this complex number by an imaginary part.

Parameters:
imag - an imaginary part
o multiply 
 public RingMember multiply(RingMember x)
Returns the multiplication of this number and another.

o multiply 
 public Complex multiply(Complex z)
Returns the multiplication of this complex number and another.

Parameters:
z - a complex number
o multiply 
 public Complex multiply(double x)
Returns the multiplication of this complex number by a scalar.

Parameters:
x - a real number
o divide 
 public FieldMember divide(FieldMember x)
Returns the division of this number and another.

o divide 
 public Complex divide(Complex z)
Returns the division of this complex number by another.

Parameters:
z - a complex number
Throws: ArithmeticException
If divide by zero.
o divide 
 public Complex divide(double x)
Returns the division of this complex number by a scalar.

Parameters:
x - a real number
Throws: ArithmeticException
If divide by zero.
o pow 
 public Complex pow(Complex z)
Returns this complex number raised to the power of another.

Parameters:
z - a complex number
o pow 
 public Complex pow(double x)
Returns this complex number raised to the power of a scalar.

Parameters:
x - a real number
o sqr 
 public Complex sqr()
Returns the square of this complex number.

o sqrt 
 public Complex sqrt()
Returns the square root of this complex number.

o exp 
 public static Complex exp(Complex z)
Returns the exponential number e(2.718...) raised to the power of a complex number.

Parameters:
z - a complex number
o log 
 public static Complex log(Complex z)
Returns the natural logarithm (base e) of a complex number.

Parameters:
z - a complex number
o sin 
 public static Complex sin(Complex z)
Returns the trigonometric sine of a complex angle.

Parameters:
z - an angle that is measured in radians
o cos 
 public static Complex cos(Complex z)
Returns the trigonometric cosine of a complex angle.

Parameters:
z - an angle that is measured in radians
o tan 
 public static Complex tan(Complex z)
Returns the trigonometric tangent of a complex angle.

Parameters:
z - an angle that is measured in radians
o sinh 
 public static Complex sinh(Complex z)
Returns the hyperbolic sine of a complex number.

Parameters:
z - a complex number
o cosh 
 public static Complex cosh(Complex z)
Returns the hyperbolic cosine of a complex number.

Parameters:
z - a complex number
o tanh 
 public static Complex tanh(Complex z)
Returns the hyperbolic tangent of a complex number.

Parameters:
z - a complex number
o asin 
 public static Complex asin(Complex z)
Returns the arc sine of a complex number, in the range of (-pi/2 through pi/2, -infinity through infinity).

Parameters:
z - a complex number
o acos 
 public static Complex acos(Complex z)
Returns the arc cosine of a complex number, in the range of (0.0 through pi, 0.0 through infinity).

Parameters:
z - a complex number
o atan 
 public static Complex atan(Complex z)
Returns the arc tangent of a complex number, in the range of (-pi/2 through pi/2, -infinity through infinity).

Parameters:
z - a complex number
o asinh 
 public static Complex asinh(Complex z)
Returns the arc hyperbolic sine of a complex number, in the range of (-infinity through infinity, -pi/2 through pi/2).

Parameters:
z - a complex number
o acosh 
 public static Complex acosh(Complex z)
Returns the arc hyperbolic cosine of a complex number, in the range of (0.0 through infinity, 0.0 through pi).

Parameters:
z - a complex number
o atanh 
 public static Complex atanh(Complex z)
Returns the arc hyperbolic tangent of a complex number, in the range of (-infinity through infinity, -pi/2 through pi/2).

Parameters:
z - a complex number 
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