space.kscience.kmath.complex

Complex

data class Complex(re: Double, im: Double)

Represents double-based complex number.

ComplexField

object ComplexField : ExtendedField<Complex> , Norm<Complex, Complex> , NumbersAddOperations<Complex> , ScaleOperations<Complex>

A field of Complex.

ComplexFieldND

class ComplexFieldND(shape: IntArray) : BufferedFieldND<Complex, ComplexField> , NumbersAddOperations<StructureND<Complex>> , ExtendedField<StructureND<Complex>>

An optimized nd-field for complex numbers

Quaternion

data class Quaternion(w: Double, x: Double, y: Double, z: Double)

Represents double-based quaternion.

QuaternionField

object QuaternionField : Field<Quaternion> , Norm<Quaternion, Quaternion> , PowerOperations<Quaternion> , ExponentialOperations<Quaternion> , NumbersAddOperations<Quaternion> , ScaleOperations<Quaternion>

A field of Quaternion.

bufferAlgebra

@UnstableKMathAPI()

fun ComplexField.bufferAlgebra(size: Int): BufferField<Complex, ComplexField>

complex

inline fun Buffer.Companion.complex(size: Int, init: (Int) -> Complex): Buffer<Complex>

Creates a new buffer of complex numbers with the specified size, where each element is calculated by calling the specified init function.

inline fun MutableBuffer.Companion.complex(size: Int, init: (Int) -> Complex): MutableBuffer<Complex>

Creates a new buffer of complex numbers with the specified size, where each element is calculated by calling the specified init function.

ndAlgebra

fun ComplexField.ndAlgebra(vararg shape: Int): ComplexFieldND

produceInline

inline fun BufferedFieldND<Complex, ComplexField>.produceInline(initializer: ComplexField.(Int) -> Complex): BufferND<Complex>

Fast element production using function inlining

quaternion

inline fun Buffer.Companion.quaternion(size: Int, init: (Int) -> Quaternion): Buffer<Quaternion>

Creates a new buffer of quaternions with the specified size, where each element is calculated by calling the specified init function.

inline fun MutableBuffer.Companion.quaternion(size: Int, init: (Int) -> Quaternion): MutableBuffer<Quaternion>

Creates a new buffer of quaternions with the specified size, where each element is calculated by calling the specified init function.

toComplex

fun Number.toComplex(): Complex

Creates a complex number with real part equal to this real.

toQuaternion

fun Number.toQuaternion(): Quaternion

Creates a quaternion with real part equal to this real.

fun Complex.toQuaternion(): Quaternion

Creates a quaternion with w-component equal to re-component of given complex and x-component equal to im-component of given complex.

withNdAlgebra

inline fun <R> ComplexField.withNdAlgebra(vararg shape: Int, action: ComplexFieldND.() -> R): R

Produce a context for n-dimensional operations inside this real field

algebra

val Complex.Companion.algebra: ComplexField

conjugate

val Complex.conjugate: Complex

This complex's conjugate.

conjugate

val Quaternion.conjugate: Quaternion

This quaternion's conjugate.

r

val Complex.r: Double

Absolute value of complex number.

r

val Quaternion.r: Double

Absolute value of the quaternion.

reciprocal

val Complex.reciprocal: Complex

This complex's reciprocal.

reciprocal

val Quaternion.reciprocal: Quaternion

This quaternion's reciprocal.

theta

val Complex.theta: Double

An angle between vector represented by complex number and X axis.

Package space.kscience.kmath.complex

Types

Functions

Properties