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KMP library for tensors #300

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grinisrit merged 215 commits from feature/tensor-algebra into dev 2021-05-08 09:48:04 +03:00
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1 changed files with 17 additions and 14 deletions
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kmath-core/src/commonMain/kotlin/kscience/kmath/structures/TensorAlgebra.kt → kmath-core/src/commonMain/kotlin/kscience/kmath/tensors/TensorAlgebra.kt
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@ -1,32 +1,36 @@
package kscience.kmath.structures package kscience.kmath.tensors
public interface TensorStructure<T> : MutableNDStructure<T> { import kscience.kmath.operations.Ring
// A tensor can have empty shape, in which case it represents just a value import kscience.kmath.structures.MutableNDStructure
public abstract fun value(): T
} public typealias Tensor<T> = MutableNDStructure<T>
public val <T : Any> Tensor<T>.value: T
get() {
require(shape.contentEquals(intArrayOf(1))) { "Value available only for a tensor with no dimensions" }
return get(intArrayOf(0))
}
// https://proofwiki.org/wiki/Definition:Algebra_over_Ring // https://proofwiki.org/wiki/Definition:Algebra_over_Ring
/**
public interface TensorAlgebra<T, TensorType : TensorStructure<T>> { * To be moved to a separate project
*/
public interface TensorAlgebra<T, TensorType : Tensor<T>> : Ring<TensorType> {
public operator fun T.plus(other: TensorType): TensorType public operator fun T.plus(other: TensorType): TensorType
public operator fun TensorType.plus(value: T): TensorType public operator fun TensorType.plus(value: T): TensorType
public operator fun TensorType.plus(other: TensorType): TensorType
public operator fun TensorType.plusAssign(value: T): Unit public operator fun TensorType.plusAssign(value: T): Unit
public operator fun TensorType.plusAssign(other: TensorType): Unit public operator fun TensorType.plusAssign(other: TensorType): Unit
public operator fun T.minus(other: TensorType): TensorType public operator fun T.minus(other: TensorType): TensorType
public operator fun TensorType.minus(value: T): TensorType public operator fun TensorType.minus(value: T): TensorType
public operator fun TensorType.minus(other: TensorType): TensorType
public operator fun TensorType.minusAssign(value: T): Unit public operator fun TensorType.minusAssign(value: T): Unit
public operator fun TensorType.minusAssign(other: TensorType): Unit public operator fun TensorType.minusAssign(other: TensorType): Unit
public operator fun T.times(other: TensorType): TensorType public operator fun T.times(other: TensorType): TensorType
public operator fun TensorType.times(value: T): TensorType public operator fun TensorType.times(value: T): TensorType
public operator fun TensorType.times(other: TensorType): TensorType
public operator fun TensorType.timesAssign(value: T): Unit public operator fun TensorType.timesAssign(value: T): Unit
public operator fun TensorType.timesAssign(other: TensorType): Unit public operator fun TensorType.timesAssign(other: TensorType): Unit
public operator fun TensorType.unaryMinus(): TensorType
public infix fun TensorType.dot(other: TensorType): TensorType public infix fun TensorType.dot(other: TensorType): TensorType
@ -35,7 +39,7 @@ public interface TensorAlgebra<T, TensorType : TensorStructure<T>> {
public fun diagonalEmbedding( public fun diagonalEmbedding(
diagonalEntries: TensorType, diagonalEntries: TensorType,
offset: Int = 0, dim1: Int = -2, dim2: Int = -1 offset: Int = 0, dim1: Int = -2, dim2: Int = -1,
): TensorType ): TensorType
public fun TensorType.transpose(i: Int, j: Int): TensorType public fun TensorType.transpose(i: Int, j: Int): TensorType
@ -51,8 +55,7 @@ public interface TensorAlgebra<T, TensorType : TensorStructure<T>> {
// https://proofwiki.org/wiki/Definition:Division_Algebra // https://proofwiki.org/wiki/Definition:Division_Algebra
public interface TensorPartialDivisionAlgebra<T, TensorType : TensorStructure<T>> : public interface TensorPartialDivisionAlgebra<T, TensorType : Tensor<T>> : TensorAlgebra<T, TensorType> {
TensorAlgebra<T, TensorType> {
public operator fun TensorType.div(other: TensorType): TensorType public operator fun TensorType.div(other: TensorType): TensorType
public operator fun TensorType.divAssign(other: TensorType) public operator fun TensorType.divAssign(other: TensorType)