SimpleAutoDiffExtendedField

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

Functions

acos

common

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

Computes the inverse cosine of arg.

acosh

common

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

Computes the inverse hyperbolic cosine of arg.

add

common

abstract fun add(a: AutoDiffValue<T>, b: AutoDiffValue<T>): AutoDiffValue<T>

Addition of two elements.

asin

common

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

Computes the inverse sine of arg.

asinh

common

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

Computes the inverse hyperbolic sine of arg.

atan

common

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

Computes the inverse tangent of arg.

atanh

common

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

Computes the inverse hyperbolic tangent of arg.

binaryOperation

common

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

Dynamically invokes a binary operation with the certain name.

binaryOperationFunction

common

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

Dynamically dispatches a binary operation with the certain name.

bindSymbol

common

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

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

bindSymbolOrNull

common

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

Wraps a raw string to T object.

const

common

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

A constant expression that does not depend on arguments.

cos

common

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

Computes the cosine of arg.

cosh

common

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

Computes the hyperbolic cosine of arg.

derive

common

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

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

div

common

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

Division of two elements.

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

Division of this element by scalar.

divide

common

abstract fun divide(a: AutoDiffValue<T>, b: AutoDiffValue<T>): AutoDiffValue<T>

Division of two elements.

exp

common

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

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

leftSideNumberOperation

common

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

common

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.

common

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

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

minus

common

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

Subtraction of two elements.

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

Subtraction of number from element.

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

Subtraction of element from number.

multiply

common

abstract fun multiply(a: AutoDiffValue<T>, b: AutoDiffValue<T>): AutoDiffValue<T>

Multiplies two elements.

number

common

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

Wraps a number to T object.

plus

common

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

Addition of two elements.

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

Addition of scalar and element.

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

Addition of element and scalar.

pow

common

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

Raises this value to the power pow.

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

power

common

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

Raises arg to the power pow.

rightSideNumberOperation

common

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

common

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.

scale

common

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

Scaling an element by a scalar.

sin

common

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

Computes the sine of arg.

sinh

common

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

Computes the hyperbolic sine of arg.

sqr

common

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

sqrt

common

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

Computes the square root of the value arg.

tan

common

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

Computes the tangent of arg.

tanh

common

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

Computes the hyperbolic tangent of arg.

times

common

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

Multiplies this element by scalar.

open operator fun Number.times(b: 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.

unaryMinus

common

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

The negation of this element.

unaryOperation

common

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

Dynamically invokes a unary operation with the certain name.

unaryOperationFunction

common

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

Dynamically dispatches a unary operation with the certain name.

unaryPlus

common

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

Returns this value.

Properties

context

common

val context: F

common

var AutoDiffValue<T>.d: T

A variable accessing inner state of derivatives.

one

common

abstract val one: AutoDiffValue<T>

The neutral element of multiplication

zero

common

abstract val zero: AutoDiffValue<T>

The neutral element of addition.

Sources

common source