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Class JSci.maths.ComplexVector

java.lang.Object
   |
   +----JSci.maths.MathVector
           |
           +----JSci.maths.ComplexVector

public class ComplexVector

extends MathVector

ARRAY_1D

Storage format identifier.

storageFormat

vector

Array containing the components of the vector.

ComplexVector(Complex[])

Constructs a vector by wrapping an array.

ComplexVector(int)

Constructs an empty vector.

add(AbelianGroupMember)

Returns the addition of this vector and another.

add(ComplexVector)

Returns the addition of this vector and another.

add(DoubleVector)

Returns the addition of this vector and another.

add(IntegerVector)

Returns the addition of this vector and another.

conjugate()

Returns the complex conjugate of this vector.

dimension()

Returns the vector's dimension.

equals(Object)

Compares two complex vectors for equality.

getComponent(int)

Returns a component of this vector.

hashCode()

Returns a hashcode for this vector.

imag()

Returns the imaginary part of this complex vector.

infNorm()

Returns the l(infinity)-norm.

mapComponents(Mapping)

Applies a function on all the vector components.

negate()

Returns the negative of this vector.

norm()

Returns the l2-norm (magnitude).

real()

Returns the real part of this complex vector.

scalarDivide(Complex)

Returns the division of this vector by a scalar.

scalarDivide(double)

Returns the division of this vector by a scalar.

scalarMultiply(Complex)

Returns the multiplication of this vector by a scalar.

scalarMultiply(double)

Returns the multiplication of this vector by a scalar.

scalarMultiply(RingMember)

Returns the multiplication of this vector by a scalar.

scalarProduct(ComplexVector)

Returns the scalar product of this vector and another.

setComponent(int, Complex)

Sets the value of a component of this vector.

subtract(AbelianGroupMember)

Returns the subtraction of this vector by another.

subtract(ComplexVector)

Returns the subtraction of this vector by another.

subtract(DoubleVector)

Returns the subtraction of this vector by another.

subtract(IntegerVector)

Returns the subtraction of this vector by another.

toString()

Returns a comma delimited string representing the value of this vector.

 protected static final int ARRAY_1D

Storage format identifier.

 protected static final int storageFormat

 protected Complex vector[]

Array containing the components of the vector.

 public ComplexVector(int dim)

Constructs an empty vector.

Parameters:

dim - the dimension of the vector.

 public ComplexVector(Complex array[])

Constructs a vector by wrapping an array.

Parameters:

array - an assigned value

 public boolean equals(Object a)

Compares two complex vectors for equality.

Parameters:

a - a complex vector

Overrides:

equals in class Object

 public String toString()

Returns a comma delimited string representing the value of this vector.

Overrides:

toString in class Object

 public int hashCode()

Returns a hashcode for this vector.

Overrides:

hashCode in class Object

 public DoubleVector real()

Returns the real part of this complex vector.

 public DoubleVector imag()

Returns the imaginary part of this complex vector.

 public Complex getComponent(int n)

Returns a component of this vector.

Parameters:

n - index of the vector component

Throws: VectorDimensionException

If attempting to access an invalid component.

 public void setComponent(int n,
                          Complex z)

Sets the value of a component of this vector.

Parameters:

n - index of the vector component

z - a complex number

Throws: VectorDimensionException

If attempting to access an invalid component.

 public int dimension()

Returns the vector's dimension.

Overrides:

dimension in class MathVector

 public double norm()

Returns the l2-norm (magnitude).

Overrides:

norm in class MathVector

 public double infNorm()

Returns the l(infinity)-norm.

 public AbelianGroupMember negate()

Returns the negative of this vector.

Overrides:

negate in class MathVector

 public ComplexVector conjugate()

Returns the complex conjugate of this vector.

 public AbelianGroupMember add(AbelianGroupMember v)

Returns the addition of this vector and another.

Overrides:

add in class MathVector

 public ComplexVector add(ComplexVector v)

Returns the addition of this vector and another.

Parameters:

v - a complex vector

Throws: VectorDimensionException

If the vectors are different sizes.

 public ComplexVector add(DoubleVector v)

Returns the addition of this vector and another.

Parameters:

v - a double vector

Throws: VectorDimensionException

If the vectors are different sizes.

 public ComplexVector add(IntegerVector v)

Returns the addition of this vector and another.

Parameters:

v - an integer vector

Throws: VectorDimensionException

If the vectors are different sizes.

 public AbelianGroupMember subtract(AbelianGroupMember v)

Returns the subtraction of this vector by another.

Overrides:

subtract in class MathVector

 public ComplexVector subtract(ComplexVector v)

Returns the subtraction of this vector by another.

Parameters:

v - a complex vector

Throws: VectorDimensionException

If the vectors are different sizes.

 public ComplexVector subtract(DoubleVector v)

Returns the subtraction of this vector by another.

Parameters:

v - a double vector

Throws: VectorDimensionException

If the vectors are different sizes.

 public ComplexVector subtract(IntegerVector v)

Returns the subtraction of this vector by another.

Parameters:

v - an integer vector

Throws: VectorDimensionException

If the vectors are different sizes.

 public ModuleMember scalarMultiply(RingMember x)

Returns the multiplication of this vector by a scalar.

Overrides:

scalarMultiply in class MathVector

 public ComplexVector scalarMultiply(Complex z)

Returns the multiplication of this vector by a scalar.

Parameters:

z - a complex number

 public ComplexVector scalarMultiply(double x)

Returns the multiplication of this vector by a scalar.

Parameters:

x - a double

 public ComplexVector scalarDivide(Complex z)

Returns the division of this vector by a scalar.

Parameters:

z - a complex number

Throws: ArithmeticException

If divide by zero.

 public ComplexVector scalarDivide(double x)

Returns the division of this vector by a scalar.

Parameters:

x - a double

Throws: ArithmeticException

If divide by zero.

 public Complex scalarProduct(ComplexVector v)

Returns the scalar product of this vector and another.

Parameters:

v - a complex vector

Throws: VectorDimensionException

If the vectors are different sizes.

 public ComplexVector mapComponents(Mapping f)

Applies a function on all the vector components.

Parameters:

f - a user-defined function

Returns:

a complex vector

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