Tensor algebra refactoring
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@ -1,32 +1,36 @@
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package kscience.kmath.structures
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package kscience.kmath.tensors
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public interface TensorStructure<T> : MutableNDStructure<T> {
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// A tensor can have empty shape, in which case it represents just a value
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public abstract fun value(): T
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import kscience.kmath.operations.Ring
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import kscience.kmath.structures.MutableNDStructure
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public typealias Tensor<T> = MutableNDStructure<T>
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public val <T : Any> Tensor<T>.value: T
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get() {
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require(shape.contentEquals(intArrayOf(1))) { "Value available only for a tensor with no dimensions" }
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return get(intArrayOf(0))
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}
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// https://proofwiki.org/wiki/Definition:Algebra_over_Ring
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public interface TensorAlgebra<T, TensorType : TensorStructure<T>> {
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/**
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* To be moved to a separate project
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*/
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public interface TensorAlgebra<T, TensorType : Tensor<T>> : Ring<TensorType> {
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public operator fun T.plus(other: TensorType): TensorType
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public operator fun TensorType.plus(value: T): TensorType
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public operator fun TensorType.plus(other: TensorType): TensorType
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public operator fun TensorType.plusAssign(value: T): Unit
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public operator fun TensorType.plusAssign(other: TensorType): Unit
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public operator fun T.minus(other: TensorType): TensorType
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public operator fun TensorType.minus(value: T): TensorType
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public operator fun TensorType.minus(other: TensorType): TensorType
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public operator fun TensorType.minusAssign(value: T): Unit
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public operator fun TensorType.minusAssign(other: TensorType): Unit
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public operator fun T.times(other: TensorType): TensorType
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public operator fun TensorType.times(value: T): TensorType
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public operator fun TensorType.times(other: TensorType): TensorType
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public operator fun TensorType.timesAssign(value: T): Unit
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public operator fun TensorType.timesAssign(other: TensorType): Unit
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public operator fun TensorType.unaryMinus(): TensorType
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public infix fun TensorType.dot(other: TensorType): TensorType
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@ -35,7 +39,7 @@ public interface TensorAlgebra<T, TensorType : TensorStructure<T>> {
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public fun diagonalEmbedding(
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diagonalEntries: TensorType,
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offset: Int = 0, dim1: Int = -2, dim2: Int = -1
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offset: Int = 0, dim1: Int = -2, dim2: Int = -1,
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): TensorType
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public fun TensorType.transpose(i: Int, j: Int): TensorType
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@ -51,8 +55,7 @@ public interface TensorAlgebra<T, TensorType : TensorStructure<T>> {
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// https://proofwiki.org/wiki/Definition:Division_Algebra
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public interface TensorPartialDivisionAlgebra<T, TensorType : TensorStructure<T>> :
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TensorAlgebra<T, TensorType> {
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public interface TensorPartialDivisionAlgebra<T, TensorType : Tensor<T>> : TensorAlgebra<T, TensorType> {
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public operator fun TensorType.div(other: TensorType): TensorType
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public operator fun TensorType.divAssign(other: TensorType)
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