kmath-core/space.kscience.kmath.expressions/SimpleAutoDiffExtendedField

SimpleAutoDiffExtendedField

class SimpleAutoDiffExtendedField<T : Any, F : ExtendedField<T>>(context: F, bindings: Map<Symbol, T>) : SimpleAutoDiffField<T, F> , ExtendedField<AutoDiffValue<T>> , ScaleOperations<AutoDiffValue<T>> (source)

Constructors

SimpleAutoDiffExtendedField

constructor(context: F, bindings: Map<Symbol, T>)

Functions

fun <T : Comparable<T>> Group<T>.abs(value: T): T

Absolute of the comparable value

open override fun acos(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the inverse cosine of arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.acos(x: AutoDiffValue<T>): AutoDiffValue<T>

open override fun acosh(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the inverse hyperbolic cosine of arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.acosh(x: AutoDiffValue<T>): AutoDiffValue<T>

abstract fun add(left: AutoDiffValue<T>, right: AutoDiffValue<T>): AutoDiffValue<T>

Addition of two elements.

open override fun asin(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the inverse sine of arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.asin(x: AutoDiffValue<T>): AutoDiffValue<T>

open override fun asinh(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the inverse hyperbolic sine of arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.asinh(x: AutoDiffValue<T>): AutoDiffValue<T>

open override fun atan(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the inverse tangent of arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.atan(x: AutoDiffValue<T>): AutoDiffValue<T>

open override fun atanh(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the inverse hyperbolic tangent of arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.atanh(x: AutoDiffValue<T>): AutoDiffValue<T>

binaryOperation

open fun binaryOperation(operation: String, left: AutoDiffValue<T>, right: AutoDiffValue<T>): AutoDiffValue<T>

Dynamically invokes a binary operation with the certain name.

binaryOperationFunction

open override fun binaryOperationFunction(operation: String): (left: AutoDiffValue<T>, right: AutoDiffValue<T>) -> AutoDiffValue<T>

Dynamically dispatches a binary operation with the certain name.

open fun bindSymbol(value: String): AutoDiffValue<T>

The same as bindSymbolOrNull but throws an error if symbol could not be bound

fun <T> Algebra<T>.bindSymbol(symbol: Symbol): T

bindSymbolOrNull

open fun bindSymbolOrNull(value: String): AutoDiffValue<T>?

Wraps a raw string to T object. This method is designed for three purposes:

bindSymbolOrNull

fun <T> Algebra<T>.bindSymbolOrNull(symbol: Symbol): T?

open override fun const(value: T): AutoDiffValue<T>

A constant expression that does not depend on arguments.

inline fun <T : Any, F : Field<T>> SimpleAutoDiffField<T, F>.const(block: F.() -> T): AutoDiffValue<T>

open override fun cos(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the cosine of arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.cos(x: AutoDiffValue<T>): AutoDiffValue<T>

open override fun cosh(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the hyperbolic cosine of arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.cosh(x: AutoDiffValue<T>): AutoDiffValue<T>

fun <R> derive(value: R, block: F.(R) -> Unit): R

Performs update of derivative after the rest of the formula in the back-pass.

open operator fun AutoDiffValue<T>.div(arg: AutoDiffValue<T>): AutoDiffValue<T>

Division of two elements.

open operator fun AutoDiffValue<T>.div(k: Number): AutoDiffValue<T>

Division of this element by scalar.

abstract fun divide(left: AutoDiffValue<T>, right: AutoDiffValue<T>): AutoDiffValue<T>

Division of two elements.

open override fun exp(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes Euler's number e raised to the power of the value arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.exp(x: AutoDiffValue<T>): AutoDiffValue<T>

@UnstableKMathAPI

open fun export(arg: AutoDiffValue<T>): AutoDiffValue<T>

Export an algebra element, so it could be accessed even after algebra scope is closed. This method must be used on algebras where data is stored externally or any local algebra state is used. By default (if not overridden), exports the object itself.

leftSideNumberOperation

open fun leftSideNumberOperation(operation: String, left: Number, right: AutoDiffValue<T>): AutoDiffValue<T>

Dynamically invokes a binary operation with the certain name with numeric first argument.

leftSideNumberOperationFunction

open fun leftSideNumberOperationFunction(operation: String): (left: Number, right: AutoDiffValue<T>) -> AutoDiffValue<T>

Dynamically dispatches a binary operation with the certain name with numeric first argument.

open override fun ln(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the natural logarithm (base e) of the value arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.ln(x: AutoDiffValue<T>): AutoDiffValue<T>

open operator fun AutoDiffValue<T>.minus(arg: AutoDiffValue<T>): AutoDiffValue<T>

Subtraction of two elements.

open operator fun Number.minus(other: AutoDiffValue<T>): AutoDiffValue<T>

Subtraction of number from element.

open operator fun AutoDiffValue<T>.minus(other: Number): AutoDiffValue<T>

Subtraction of element from number.

abstract fun multiply(left: AutoDiffValue<T>, right: AutoDiffValue<T>): AutoDiffValue<T>

Multiplies two elements.

open override fun number(value: Number): AutoDiffValue<T>

Wraps a number to T object.

open operator fun AutoDiffValue<T>.plus(arg: AutoDiffValue<T>): AutoDiffValue<T>

Addition of two elements.

open operator fun Number.plus(other: AutoDiffValue<T>): AutoDiffValue<T>

Addition of scalar and element.

open operator fun AutoDiffValue<T>.plus(other: Number): AutoDiffValue<T>

Addition of element and scalar.

fun pow(x: AutoDiffValue<T>, y: AutoDiffValue<T>): AutoDiffValue<T>

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.pow(x: AutoDiffValue<T>, y: Double): AutoDiffValue<T>

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.pow(x: AutoDiffValue<T>, y: Int): AutoDiffValue<T>

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.pow(x: AutoDiffValue<T>, y: AutoDiffValue<T>): AutoDiffValue<T>

open infix fun AutoDiffValue<T>.pow(pow: Number): AutoDiffValue<T>

Raises this value to the power pow.

open override fun power(arg: AutoDiffValue<T>, pow: Number): AutoDiffValue<T>

Raises arg to a power if possible (negative number could not be raised to a fractional power). Throws IllegalArgumentException if not possible.

open fun power(arg: AutoDiffValue<T>, pow: Int): AutoDiffValue<T>

open fun power(arg: AutoDiffValue<T>, pow: UInt): AutoDiffValue<T>

Raises arg to the integer power pow.

rightSideNumberOperation

open fun rightSideNumberOperation(operation: String, left: AutoDiffValue<T>, right: Number): AutoDiffValue<T>

Dynamically invokes a binary operation with the certain name with numeric second argument.

rightSideNumberOperationFunction

open override fun rightSideNumberOperationFunction(operation: String): (left: AutoDiffValue<T>, right: Number) -> AutoDiffValue<T>

Dynamically dispatches a binary operation with the certain name with numeric first argument.

open override fun scale(a: AutoDiffValue<T>, value: Double): AutoDiffValue<T>

Scaling an element by a scalar.

open override fun sin(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the sine of arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.sin(x: AutoDiffValue<T>): AutoDiffValue<T>

open override fun sinh(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the hyperbolic sine of arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.sinh(x: AutoDiffValue<T>): AutoDiffValue<T>

fun sqr(x: AutoDiffValue<T>): AutoDiffValue<T>

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.sqr(x: AutoDiffValue<T>): AutoDiffValue<T>

open override fun sqrt(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the square root of the value arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.sqrt(x: AutoDiffValue<T>): AutoDiffValue<T>

fun <T> Group<T>.sum(data: Iterable<T>): T

@PerformancePitfall(message = "Potential boxing access to buffer elements")

fun <T> Group<T>.sum(data: Buffer<T>): T

Returns the sum of all elements in the iterable in this Group.

fun <T> Group<T>.sum(data: Sequence<T>): T

Returns the sum of all elements in the sequence in this Group.

open override fun tan(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the tangent of arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.tan(x: AutoDiffValue<T>): AutoDiffValue<T>

open override fun tanh(arg: AutoDiffValue<T>): AutoDiffValue<T>

Computes the hyperbolic tangent of arg.

fun <T : Any, F : ExtendedField<T>> SimpleAutoDiffField<T, F>.tanh(x: AutoDiffValue<T>): AutoDiffValue<T>

open operator fun AutoDiffValue<T>.times(arg: AutoDiffValue<T>): AutoDiffValue<T>

Multiplies this element by scalar.

open operator fun Number.times(arg: AutoDiffValue<T>): AutoDiffValue<T>

Multiplication of this number by element.

open operator fun AutoDiffValue<T>.times(k: Number): AutoDiffValue<T>

Multiplication of this element by a scalar.

abstract operator fun AutoDiffValue<T>.unaryMinus(): AutoDiffValue<T>

The negation of this element.

open fun unaryOperation(operation: String, arg: AutoDiffValue<T>): AutoDiffValue<T>

Dynamically invokes a unary operation with the certain name.

unaryOperationFunction

open override fun unaryOperationFunction(operation: String): (arg: AutoDiffValue<T>) -> AutoDiffValue<T>

Dynamically dispatches a unary operation with the certain name.

open operator fun AutoDiffValue<T>.unaryPlus(): AutoDiffValue<T>

Returns this value.

Properties

val <T, E> ExpressionAlgebra<T, E>.binding: ReadOnlyProperty<Any?, E>

Bind a symbol by name inside the ExpressionAlgebra

open val bufferFactory: MutableBufferFactory<AutoDiffValue<T>>

Provide a factory for buffers, associated with this Algebra

var AutoDiffValue<T>.d: T

A variable accessing inner state of derivatives. Use this value in inner builders to avoid creating additional derivative bindings.

val <T> NumericAlgebra<T>.e: T

The e mathematical constant.

abstract val one: AutoDiffValue<T>

The neutral element of multiplication

val <T> NumericAlgebra<T>.pi: T

The π mathematical constant.

abstract val zero: AutoDiffValue<T>

The neutral element of addition.