Complex extensions
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doc/contexts.md
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3
doc/contexts.md
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# Context-oriented programming
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One of problems
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@ -198,7 +198,6 @@ class RealLUDecomposition(matrix: RealMatrix, private val singularityThreshold:
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/** Specialized solver. */
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object RealLUSolver : LinearSolver<Double, DoubleField> {
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fun decompose(mat: Matrix<Double, DoubleField>, threshold: Double = 1e-11): RealLUDecomposition = RealLUDecomposition(mat, threshold)
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override fun solve(a: RealMatrix, b: RealMatrix): RealMatrix {
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@ -6,12 +6,14 @@ package scientifik.kmath.operations
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object ComplexField : Field<Complex> {
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override val zero: Complex = Complex(0.0, 0.0)
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override val one: Complex = Complex(1.0, 0.0)
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val i = Complex(0.0, 1.0)
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override fun add(a: Complex, b: Complex): Complex = Complex(a.re + b.re, a.im + b.im)
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override fun multiply(a: Complex, k: Double): Complex = Complex(a.re * k, a.im * k)
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override val one: Complex = Complex(1.0, 0.0)
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override fun multiply(a: Complex, b: Complex): Complex = Complex(a.re * b.re - a.im * b.im, a.re * b.im + a.im * b.re)
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override fun divide(a: Complex, b: Complex): Complex = Complex(a.re * b.re + a.im * b.im, a.re * b.im - a.im * b.re) / b.square
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@ -41,5 +43,16 @@ data class Complex(val re: Double, val im: Double) : FieldElement<Complex, Compl
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companion object {
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}
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}
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fun Double.toComplex() = Complex(this, 0.0)
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operator fun Double.plus(c: Complex) = this.toComplex() + c
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operator fun Double.minus(c: Complex) = this.toComplex() - c
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operator fun Complex.plus(d: Double) = d + this
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operator fun Complex.minus(d: Double) = this - d.toComplex()
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operator fun Double.times(c: Complex) = Complex(c.re * this, c.im * this)
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@ -68,8 +68,7 @@ class ArrayBuffer<T>(private val array: Array<T>) : MutableBuffer<T> {
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}
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inline class DoubleBuffer(private val array: DoubleArray) : MutableBuffer<Double> {
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override val size: Int
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get() = array.size
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override val size: Int get() = array.size
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override fun get(index: Int): Double = array[index]
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@ -83,8 +82,7 @@ inline class DoubleBuffer(private val array: DoubleArray) : MutableBuffer<Double
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}
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inline class IntBuffer(private val array: IntArray) : MutableBuffer<Int> {
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override val size: Int
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get() = array.size
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override val size: Int get() = array.size
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override fun get(index: Int): Int = array[index]
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@ -49,6 +49,9 @@ interface Strides {
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*/
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fun index(offset: Int): IntArray
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/**
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* The size of linear buffer to accommodate all elements of ND-structure corresponding to strides
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*/
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val linearSize: Int
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/**
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