org.ojalgo.scalar

Class ComplexNumber.Normalised

java.lang.Object

java.lang.Number

org.ojalgo.scalar.ComplexNumber

org.ojalgo.scalar.ComplexNumber.Normalised

All Implemented Interfaces:

Serializable, Comparable<ComplexNumber>, Field<Scalar<ComplexNumber>>, Group, Group.Additive<Scalar<ComplexNumber>>, Group.Multiplicative<Scalar<ComplexNumber>>, NormedVectorSpace<Scalar<ComplexNumber>,ComplexNumber>, Operation, Operation.Addition<Scalar<ComplexNumber>>, Operation.Division<Scalar<ComplexNumber>>, Operation.Multiplication<Scalar<ComplexNumber>>, Operation.Subtraction<Scalar<ComplexNumber>>, Ring<Scalar<ComplexNumber>>, ScalarOperation, ScalarOperation.Addition<Scalar<ComplexNumber>,ComplexNumber>, ScalarOperation.Division<Scalar<ComplexNumber>,ComplexNumber>, ScalarOperation.Multiplication<Scalar<ComplexNumber>,ComplexNumber>, ScalarOperation.Subtraction<Scalar<ComplexNumber>,ComplexNumber>, VectorSpace<Scalar<ComplexNumber>,ComplexNumber>, Scalar<ComplexNumber>, Access1D<Double>, Access2D<Double>, Access2D.Collectable<Double,Mutate2D.Receiver<Double>>, AccessScalar<ComplexNumber>, Structure1D, Structure2D, Transformation2D<Double>, NumberContext.Enforceable<ComplexNumber>

Enclosing class:

ComplexNumber

public static final class ComplexNumber.Normalised
extends ComplexNumber

See Also:

Serialized Form

Nested Class Summary

Nested classes/interfaces inherited from class org.ojalgo.scalar.ComplexNumber

ComplexNumber.Normalised

Nested classes/interfaces inherited from interface org.ojalgo.scalar.Scalar

Scalar.Factory<N extends Number>

Nested classes/interfaces inherited from interface org.ojalgo.algebra.ScalarOperation

ScalarOperation.Addition<T,N extends Number>, ScalarOperation.Division<T,N extends Number>, ScalarOperation.Multiplication<T,N extends Number>, ScalarOperation.Subtraction<T,N extends Number>

Nested classes/interfaces inherited from interface org.ojalgo.structure.Access2D

Access2D.Aggregatable<N extends Number>, Access2D.Collectable<N extends Number,R extends Mutate2D.Receiver<N>>, Access2D.Elements, Access2D.ElementView<N extends Number>, Access2D.IndexOf, Access2D.Sliceable<N extends Number>, Access2D.Visitable<N extends Number>

Nested classes/interfaces inherited from interface org.ojalgo.structure.Structure2D

Structure2D.IntRowColumn, Structure2D.Logical<S extends Structure2D,B extends Structure2D.Logical<S,?>>, Structure2D.LongRowColumn, Structure2D.ReducibleTo1D<R extends Structure1D>, Structure2D.RowColumnCallback, Structure2D.RowColumnKey<R,C>, Structure2D.RowColumnMapper<R,C>

Nested classes/interfaces inherited from interface org.ojalgo.structure.Structure1D

Structure1D.BasicMapper<T>, Structure1D.IndexCallback, Structure1D.IndexMapper<T>, Structure1D.IntIndex, Structure1D.LongIndex, Structure1D.LoopCallback

Field Summary

Fields inherited from class org.ojalgo.scalar.ComplexNumber

FACTORY, i, I, INFINITY, NaN, NEG, ONE, TWO, ZERO

Method Summary

Modifier and Type	Method and Description
double	norm() Returns the norm of this complex number.
ComplexNumber.Normalised	signum() this == this.signum().multiply(this.norm())
<T extends Mutate2D.ModifiableReceiver<Double> & Access2D<Double>> void	transform(T transformable)

Methods inherited from class org.ojalgo.scalar.ComplexNumber

add, add, compareTo, conjugate, count, countColumns, countRows, divide, divide, doubleValue, doubleValue, doubleValue, enforce, equals, floatValue, get, get, get, getArgument, getImaginary, getModulus, getReal, hashCode, intValue, invert, isAbsolute, isAbsolute, isInfinite, isNaN, isReal, isReal, isSmall, isSmall, longValue, makePolar, makeRotation, multiply, multiply, negate, of, phase, subtract, subtract, supplyTo, toBigDecimal, toMultiplicationMatrix, toMultiplicationVector, toRotationMatrix, toString, toString, valueOf, valueOf

Methods inherited from class java.lang.Number

byteValue, shortValue

Methods inherited from class java.lang.Object

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

Methods inherited from interface org.ojalgo.scalar.Scalar

add, divide, multiply, subtract, toPlainString

Methods inherited from interface org.ojalgo.structure.AccessScalar

byteValue, shortValue

Methods inherited from interface org.ojalgo.structure.Access2D

asCollectable2D, asPrimitive2D, byteValue, byteValue, columns, elements, equals, floatValue, floatValue, intValue, intValue, longValue, longValue, newPrimitiveColumnCollectable, newPrimitiveRowCollectable, rows, shortValue, shortValue, toRawCopy2D, toString, wrap, wrap

Methods inherited from interface org.ojalgo.structure.Access1D

asCollectable1D, asPrimitive1D, axpy, dot, equals, hashCode, nonzeros, supplyTo, toRawCopy1D, toString, wrap, wrap, wrap

Methods inherited from interface org.ojalgo.structure.Access2D.Collectable

collect

Methods inherited from interface org.ojalgo.structure.Structure2D

column, column, column, column, column, count, index, index, isEmpty, isFat, isScalar, isSquare, isTall, isVector, loopAll, loopColumn, loopColumn, loopDiagonal, loopMatching, loopRow, loopRow, mapperOf, row, row, row, row, row

Methods inherited from interface org.ojalgo.structure.Structure1D

index, loopAll, loopMatching, loopRange, mapper, size

Method Detail

norm

public double norm()

Description copied from class: ComplexNumber

Returns the norm of this complex number. The norm of a complex number is defined by |Z| = (ZZ^*)^1/2.

Specified by:

norm in interface NormedVectorSpace<Scalar<ComplexNumber>,ComplexNumber>

Overrides:

norm in class ComplexNumber

Returns:

the norm of this complex number.

signum

public ComplexNumber.Normalised signum()

Description copied from interface: NormedVectorSpace

this == this.signum().multiply(this.norm())

Specified by:

signum in interface NormedVectorSpace<Scalar<ComplexNumber>,ComplexNumber>

Overrides:

signum in class ComplexNumber

Returns:

A unit "vector"

transform

public <T extends Mutate2D.ModifiableReceiver<Double> & Access2D<Double>> void transform(T transformable)

Specified by:

transform in interface Transformation2D<Double>

Overrides:

transform in class ComplexNumber