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Some documentation updates

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Iaroslav Postovalov 2021-03-22 16:11:54 +07:00
parent defaf716d7
commit 67aa173927
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7 changed files with 61 additions and 20 deletions
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1
kmath-core/src/commonMain/kotlin/space/kscience/kmath/domains/DoubleDomain.kt
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@ -24,7 +24,6 @@ import space.kscience.kmath.misc.UnstableKMathAPI
*/
@UnstableKMathAPI
public interface DoubleDomain : Domain<Double> {
/**
* Global lower edge
* @param num axis number

14
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/LinearSolver.kt
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@ -3,7 +3,10 @@ package space.kscience.kmath.linear
import space.kscience.kmath.nd.as1D
/**
* A group of methods to resolve equation A dot X = B, where A and B are matrices or vectors
* A group of methods to solve for *X* in equation *X = A <sup>-1</sup> &middot; B*, where *A* and *B* are matrices or
* vectors.
*
* @param T the type of items.
*/
public interface LinearSolver<T : Any> {
/**
@ -23,7 +26,7 @@ public interface LinearSolver<T : Any> {
}
/**
* Convert matrix to vector if it is possible
* Convert matrix to vector if it is possible.
*/
public fun <T : Any> Matrix<T>.asVector(): Point<T> =
if (this.colNum == 1)
@ -31,4 +34,11 @@ public fun <T : Any> Matrix<T>.asVector(): Point<T> =
else
error("Can't convert matrix with more than one column to vector")
/**
* Creates an n &times; 1 [VirtualMatrix], where n is the size of the given buffer.
*
* @param T the type of elements contained in the buffer.
* @receiver a buffer.
* @return the new matrix.
*/
public fun <T : Any> Point<T>.asMatrix(): VirtualMatrix<T> = VirtualMatrix(size, 1) { i, _ -> get(i) }

2
kmath-core/src/commonMain/kotlin/space/kscience/kmath/linear/LinearSpace.kt
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@ -17,6 +17,8 @@ public typealias Matrix<T> = Structure2D<T>
/**
* Alias or using [Buffer] as a point/vector in a many-dimensional space.
*
* @param T the type of elements contained in the buffer.
*/
public typealias Point<T> = Buffer<T>

19
kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/Algebra.kt
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@ -100,8 +100,8 @@ public fun <T : Any> Algebra<T>.bindSymbol(symbol: Symbol): T = bindSymbol(symbo
public inline operator fun <A : Algebra<*>, R> A.invoke(block: A.() -> R): R = run(block)
/**
* Represents linear space without neutral element, i.e. algebraic structure with associative, binary operation [add]
* and scalar multiplication [multiply].
* Represents group without neutral element (also known as inverse semigroup), i.e. algebraic structure with
* associative, binary operation [add].
*
* @param T the type of element of this semispace.
*/
@ -177,7 +177,7 @@ public interface GroupOperations<T> : Algebra<T> {
}
/**
* Represents linear space with neutral element, i.e. algebraic structure with associative, binary operation [add].
* Represents group, i.e. algebraic structure with associative, binary operation [add].
*
* @param T the type of element of this semispace.
*/
@ -189,8 +189,8 @@ public interface Group<T> : GroupOperations<T> {
}
/**
* Represents rng, i.e. algebraic structure with associative, binary, commutative operation [add] and associative,
* operation [multiply] distributive over [add].
* Represents ring without multiplicative and additive identities, i.e. algebraic structure with
* associative, binary, commutative operation [add] and associative, operation [multiply] distributive over [add].
*
* @param T the type of element of this semiring.
*/
@ -238,7 +238,7 @@ public interface Ring<T> : Group<T>, RingOperations<T> {
}
/**
* Represents field without identity elements, i.e. algebraic structure with associative, binary, commutative operations
* Represents field without without multiplicative and additive identities, i.e. algebraic structure with associative, binary, commutative operations
* [add] and [multiply]; binary operation [divide] as multiplication of left operand by reciprocal of right one.
*
* @param T the type of element of this semifield.
@ -276,10 +276,11 @@ public interface FieldOperations<T> : RingOperations<T> {
}
/**
* Represents field, i.e. algebraic structure with three operations: associative "addition" and "multiplication",
* and "division" and their neutral elements.
* Represents field, i.e. algebraic structure with three operations: associative, commutative addition and
* multiplication, and division. **This interface differs from the eponymous mathematical definition: fields in KMath
* also support associative multiplication by scalar.**
*
* @param T the type of element of this semifield.
* @param T the type of element of this field.
*/
public interface Field<T> : Ring<T>, FieldOperations<T>, ScaleOperations<T>, NumericAlgebra<T> {
override fun number(value: Number): T = scale(one, value.toDouble())

7
kmath-core/src/commonMain/kotlin/space/kscience/kmath/operations/BigInt.kt
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@ -12,8 +12,8 @@ import kotlin.math.max
import kotlin.math.min
import kotlin.math.sign
public typealias Magnitude = UIntArray
public typealias TBase = ULong
private typealias Magnitude = UIntArray
private typealias TBase = ULong
/**
* Kotlin Multiplatform implementation of Big Integer numbers (KBigInteger).
@ -358,6 +358,9 @@ private fun stripLeadingZeros(mag: Magnitude): Magnitude {
return mag.sliceArray(IntRange(0, resSize))
}
/**
* Returns the absolute value of the given value [x].
*/
public fun abs(x: BigInt): BigInt = x.abs()
/**

33
kmath-functions/src/commonMain/kotlin/space/kscience/kmath/functions/Piecewise.kt
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@ -2,14 +2,28 @@ package space.kscience.kmath.functions
import space.kscience.kmath.operations.Ring
/**
* Represents piecewise-defined function.
*
* @param T the piece key type.
* @param R the sub-function type.
*/
public fun interface Piecewise<T, R> {
/**
* Returns the appropriate sub-function for given piece key.
*/
public fun findPiece(arg: T): R?
}
/**
* Represents piecewise-defined function where all the sub-functions are polynomials.
*/
public fun interface PiecewisePolynomial<T : Any> : Piecewise<T, Polynomial<T>>
/**
* Ordered list of pieces in piecewise function
* Basic [Piecewise] implementation where all the pieces are ordered by the [Comparable] type instances.
*
* @param T the comparable piece key type.
*/
public class OrderedPiecewisePolynomial<T : Comparable<T>>(delimiter: T) :
PiecewisePolynomial<T> {
@ -17,8 +31,10 @@ public class OrderedPiecewisePolynomial<T : Comparable<T>>(delimiter: T) :
private val pieces: MutableList<Polynomial<T>> = arrayListOf()
/**
* Dynamically add a piece to the "right" side (beyond maximum argument value of previous piece)
* @param right new rightmost position. If is less then current rightmost position, a error is thrown.
* Dynamically adds a piece to the right side (beyond maximum argument value of previous piece)
*
* @param right new rightmost position. If is less then current rightmost position, an error is thrown.
* @param piece the sub-function.
*/
public fun putRight(right: T, piece: Polynomial<T>) {
require(right > delimiters.last()) { "New delimiter should be to the right of old one" }
@ -26,13 +42,19 @@ public class OrderedPiecewisePolynomial<T : Comparable<T>>(delimiter: T) :
pieces.add(piece)
}
/**
* Dynamically adds a piece to the left side (beyond maximum argument value of previous piece)
*
* @param left the new leftmost position. If is less then current rightmost position, an error is thrown.
* @param piece the sub-function.
*/
public fun putLeft(left: T, piece: Polynomial<T>) {
require(left < delimiters.first()) { "New delimiter should be to the left of old one" }
delimiters.add(0, left)
pieces.add(0, piece)
}
override fun findPiece(arg: T): Polynomial<T>? {
public override fun findPiece(arg: T): Polynomial<T>? {
if (arg < delimiters.first() || arg >= delimiters.last())
return null
else {
@ -46,7 +68,8 @@ public class OrderedPiecewisePolynomial<T : Comparable<T>>(delimiter: T) :
}
/**
* Return a value of polynomial function with given [ring] an given [arg] or null if argument is outside of piecewise definition.
* Return a value of polynomial function with given [ring] an given [arg] or null if argument is outside of piecewise
* definition.
*/
public fun <T : Comparable<T>, C : Ring<T>> PiecewisePolynomial<T>.value(ring: C, arg: T): T? =
findPiece(arg)?.value(ring, arg)

3
kmath-functions/src/commonMain/kotlin/space/kscience/kmath/functions/Polynomial.kt
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@ -15,6 +15,9 @@ import kotlin.math.pow
*/
public inline class Polynomial<T : Any>(public val coefficients: List<T>)
/**
* Returns a [Polynomial] instance with given [coefficients].
*/
@Suppress("FunctionName")
public fun <T : Any> Polynomial(vararg coefficients: T): Polynomial<T> = Polynomial(coefficients.toList())