TensorPartialDivisionAlgebra

interface TensorPartialDivisionAlgebra<T> : TensorAlgebra<T>

Algebra over a field with partial division on Tensor. For more information: https://proofwiki.org/wiki/Definition:Division_Algebra

Parameters

the type of items closed under division in the tensors.

Functions

add

open override fun add(left: Tensor<T>, right: Tensor<T>): Tensor<T>

argMax

abstract fun Tensor<T>.argMax(dim: Int, keepDim: Boolean): Tensor<T>

Returns the index of maximum value of each row of the input tensor in the given dimension dim.

binaryOperation

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

binaryOperationFunction

open override fun binaryOperationFunction(operation: String): (Tensor<T>, Tensor<T>) -> Tensor<T>

bindSymbol

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

bindSymbolOrNull

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

diagonalEmbedding

abstract fun diagonalEmbedding(diagonalEntries: Tensor<T>, offset: Int = 0, dim1: Int = -2, dim2: Int = -1): Tensor<T>

Creates a tensor whose diagonals of certain 2D planes (specified by dim1 and dim2) are filled by diagonalEntries.

div

abstract operator fun T.div(other: Tensor<T>): Tensor<T>

Each element of the tensor other is divided by this value.

abstract operator fun Tensor<T>.div(value: T): Tensor<T>

Divide by the scalar value each element of this tensor returns a new resulting tensor.

abstract operator fun Tensor<T>.div(other: Tensor<T>): Tensor<T>

Each element of the tensor other is divided by each element of this tensor.

divAssign

abstract operator fun Tensor<T>.divAssign(value: T)

Divides by the scalar value each element of this tensor.

abstract operator fun Tensor<T>.divAssign(other: Tensor<T>)

Each element of this tensor is divided by each element of the other tensor.

dot

abstract infix fun Tensor<T>.dot(other: Tensor<T>): Tensor<T>

Matrix product of two tensors.

get

abstract operator fun Tensor<T>.get(i: Int): Tensor<T>

Returns the tensor at index i For more information: https://pytorch.org/cppdocs/notes/tensor_indexing.

max

abstract fun Tensor<T>.max(): T

Returns the maximum value of all elements in the input tensor.

abstract fun Tensor<T>.max(dim: Int, keepDim: Boolean): Tensor<T>

Returns the maximum value of each row of the input tensor in the given dimension dim.

min

abstract fun Tensor<T>.min(): T

abstract fun Tensor<T>.min(dim: Int, keepDim: Boolean): Tensor<T>

Returns the minimum value of each row of the input tensor in the given dimension dim.

minus

abstract operator fun T.minus(other: Tensor<T>): Tensor<T>

Each element of the tensor other is subtracted from this value.

abstract operator fun Tensor<T>.minus(value: T): Tensor<T>

Subtracts the scalar value from each element of this tensor and returns a new resulting tensor.

abstract operator override fun Tensor<T>.minus(other: Tensor<T>): Tensor<T>

Each element of the tensor other is subtracted from each element of this tensor.

minusAssign

abstract operator fun Tensor<T>.minusAssign(value: T)

Subtracts the scalar value from each element of this tensor.

abstract operator fun Tensor<T>.minusAssign(other: Tensor<T>)

Each element of the tensor other is subtracted from each element of this tensor.

multiply

open override fun multiply(left: Tensor<T>, right: Tensor<T>): Tensor<T>

plus

abstract operator fun T.plus(other: Tensor<T>): Tensor<T>

Each element of the tensor other is added to this value.

abstract operator fun Tensor<T>.plus(value: T): Tensor<T>

Adds the scalar value to each element of this tensor and returns a new resulting tensor.

abstract operator override fun Tensor<T>.plus(other: Tensor<T>): Tensor<T>

Each element of the tensor other is added to each element of this tensor.

plusAssign

abstract operator fun Tensor<T>.plusAssign(value: T)

Adds the scalar value to each element of this tensor.

abstract operator fun Tensor<T>.plusAssign(other: Tensor<T>)

Each element of the tensor other is added to each element of this tensor.

sum

abstract fun Tensor<T>.sum(): T

abstract fun Tensor<T>.sum(dim: Int, keepDim: Boolean): Tensor<T>

Returns the sum of each row of the input tensor in the given dimension dim.

times

abstract operator fun T.times(other: Tensor<T>): Tensor<T>

Each element of the tensor other is multiplied by this value.

abstract operator fun Tensor<T>.times(value: T): Tensor<T>

Multiplies the scalar value by each element of this tensor and returns a new resulting tensor.

abstract operator override fun Tensor<T>.times(other: Tensor<T>): Tensor<T>

Each element of the tensor other is multiplied by each element of this tensor.

timesAssign

abstract operator fun Tensor<T>.timesAssign(value: T)

Multiplies the scalar value by each element of this tensor.

abstract operator fun Tensor<T>.timesAssign(other: Tensor<T>)

Each element of the tensor other is multiplied by each element of this tensor.

transpose

abstract fun Tensor<T>.transpose(i: Int = -2, j: Int = -1): Tensor<T>

Returns a tensor that is a transposed version of this tensor.

unaryMinus

abstract operator override fun Tensor<T>.unaryMinus(): Tensor<T>

Numerical negative, element-wise.

unaryOperation

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

unaryOperationFunction

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

unaryPlus

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

value

open fun Tensor<T>.value(): T

Returns a single tensor value of unit dimension.

valueOrNull

abstract fun Tensor<T>.valueOrNull(): T?

Returns a single tensor value of unit dimension if tensor shape equals to 1.

view

abstract fun Tensor<T>.view(shape: IntArray): Tensor<T>

Returns a new tensor with the same data as the self tensor but of a different shape.

viewAs

abstract fun Tensor<T>.viewAs(other: Tensor<T>): Tensor<T>

View this tensor as the same size as other.

Inheritors

AnalyticTensorAlgebra

LinearOpsTensorAlgebra

DoubleTensorAlgebra

Sources

common source