Adding the interfaces for AnalyticTensorAlgebra and LinearOpsTensorAlgebra

This commit is contained in:
Roland Grinis 2021-03-14 21:18:20 +00:00
parent 384415dc98
commit c02f71263d
7 changed files with 586 additions and 155 deletions

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@ -0,0 +1,112 @@
package space.kscience.kmath.tensors
public interface AnalyticTensorAlgebra<T, TensorType : TensorStructure<T>> :
TensorPartialDivisionAlgebra<T, TensorType> {
//https://pytorch.org/docs/stable/generated/torch.exp.html
public fun TensorType.exp(): TensorType
//https://pytorch.org/docs/stable/generated/torch.log.html
public fun TensorType.log(): TensorType
//https://pytorch.org/docs/stable/generated/torch.sqrt.html
public fun TensorType.sqrt(): TensorType
//https://pytorch.org/docs/stable/generated/torch.square.html
public fun TensorType.square(): TensorType
//https://pytorch.org/docs/stable/generated/torch.acos.html#torch.cos
public fun TensorType.cos(): TensorType
//https://pytorch.org/docs/stable/generated/torch.acos.html#torch.acos
public fun TensorType.acos(): TensorType
//https://pytorch.org/docs/stable/generated/torch.acosh.html#torch.cosh
public fun TensorType.cosh(): TensorType
//https://pytorch.org/docs/stable/generated/torch.acosh.html#torch.acosh
public fun TensorType.acosh(): TensorType
//https://pytorch.org/docs/stable/generated/torch.asin.html#torch.sin
public fun TensorType.sin(): TensorType
//https://pytorch.org/docs/stable/generated/torch.asin.html#torch.asin
public fun TensorType.asin(): TensorType
//https://pytorch.org/docs/stable/generated/torch.asin.html#torch.sinh
public fun TensorType.sinh(): TensorType
//https://pytorch.org/docs/stable/generated/torch.asin.html#torch.asinh
public fun TensorType.asinh(): TensorType
//https://pytorch.org/docs/stable/generated/torch.atan.html#torch.tan
public fun TensorType.tan(): TensorType
//https://pytorch.org/docs/stable/generated/torch.atan.html#torch.atan
public fun TensorType.atan(): TensorType
//https://pytorch.org/docs/stable/generated/torch.atanh.html#torch.tanh
public fun TensorType.tanh(): TensorType
//https://pytorch.org/docs/stable/generated/torch.atanh.html#torch.atanh
public fun TensorType.atanh(): TensorType
//https://pytorch.org/docs/stable/generated/torch.ceil.html#torch.ceil
public fun TensorType.ceil(): TensorType
//https://pytorch.org/docs/stable/generated/torch.floor.html#torch.floor
public fun TensorType.floor(): TensorType
//https://pytorch.org/docs/stable/generated/torch.clamp.html#torch.clamp
public fun TensorType.clamp(min: T, max: T): TensorType
//https://pytorch.org/docs/stable/generated/torch.erf.html#torch.erf
public fun TensorType.erf(): TensorType
//https://pytorch.org/docs/stable/generated/torch.erfinv.html#torch.erfinv
public fun TensorType.erfinv(): TensorType
//https://pytorch.org/docs/stable/generated/torch.erfc.html#torch.erfc
public fun TensorType.erfc(): TensorType
//https://pytorch.org/docs/stable/generated/torch.lerp.html#torch.lerp
public fun TensorType.lerp(end: TensorType, weight: TensorType): TensorType
//https://pytorch.org/docs/stable/generated/torch.lgamma.html#torch.lgamma
public fun TensorType.lgamma(): TensorType
//https://pytorch.org/docs/stable/generated/torch.logit.html#torch.logit
public fun TensorType.logit(eps: T): TensorType
//https://pytorch.org/docs/stable/generated/torch.igamma.html#torch.igamma
public fun TensorType.igamma(other: TensorType): TensorType
//https://pytorch.org/docs/stable/generated/torch.igammac.html#torch.igammac
public fun TensorType.igammac(other: TensorType): TensorType
//https://pytorch.org/docs/stable/generated/torch.mvlgamma.html#torch.mvlgamma
public fun TensorType.mvlgamma(dimensions: Int): TensorType
//https://pytorch.org/docs/stable/generated/torch.polygamma.html#torch.polygamma
public fun TensorType.polygamma(order: Int): TensorType
//https://pytorch.org/docs/stable/generated/torch.pow.html#torch.pow
public fun TensorType.pow(exponent: T): TensorType
//https://pytorch.org/docs/stable/generated/torch.round.html#torch.round
public fun TensorType.round(): TensorType
//https://pytorch.org/docs/stable/generated/torch.sigmoid.html#torch.sigmoid
public fun TensorType.sigmoid(): TensorType
//https://pytorch.org/docs/stable/generated/torch.sinc.html#torch.sinc
public fun TensorType.sinc(): TensorType
//https://pytorch.org/docs/stable/generated/torch.heaviside.html#torch.heaviside
public fun TensorType.heaviside(values: TensorType): TensorType
//https://pytorch.org/docs/stable/generated/torch.trapz.html#torch.trapz
public fun TensorType.trapz(xValues: TensorType, dim: Int): TensorType
}

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@ -0,0 +1,43 @@
package space.kscience.kmath.tensors
public interface LinearOpsTensorAlgebra<T, TensorType : TensorStructure<T>> :
TensorPartialDivisionAlgebra<T, TensorType> {
//https://pytorch.org/docs/stable/generated/torch.eye.html
public fun eye(n: Int): TensorType
//https://pytorch.org/docs/stable/generated/torch.matmul.html
public infix fun TensorType.dot(other: TensorType): TensorType
//https://pytorch.org/docs/stable/generated/torch.diag_embed.html
public fun diagonalEmbedding(
diagonalEntries: TensorType,
offset: Int = 0, dim1: Int = -2, dim2: Int = -1
): TensorType
//https://pytorch.org/docs/stable/linalg.html#torch.linalg.det
public fun TensorType.det(): TensorType
//https://pytorch.org/docs/stable/linalg.html#torch.linalg.inv
public fun TensorType.inv(): TensorType
//https://pytorch.org/docs/stable/linalg.html#torch.linalg.cholesky
public fun TensorType.cholesky(): TensorType
//https://pytorch.org/docs/stable/linalg.html#torch.linalg.qr
public fun TensorType.qr(): TensorType
//https://pytorch.org/docs/stable/generated/torch.lu.html
public fun TensorType.lu(): Pair<TensorType, IntTensor>
//https://pytorch.org/docs/stable/generated/torch.lu_unpack.html
public fun luPivot(aLU: TensorType, pivots: IntTensor): Triple<TensorType, TensorType, TensorType>
//https://pytorch.org/docs/stable/linalg.html#torch.linalg.svd
public fun TensorType.svd(): Triple<TensorType, TensorType, TensorType>
//https://pytorch.org/docs/stable/generated/torch.symeig.html
public fun TensorType.symEig(eigenvectors: Boolean = true): Pair<TensorType, TensorType>
}

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@ -0,0 +1,148 @@
package space.kscience.kmath.tensors
public class RealAnalyticTensorAlgebra:
AnalyticTensorAlgebra<Double, RealTensor>,
RealTensorAlgebra()
{
override fun RealTensor.exp(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.log(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.sqrt(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.square(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.cos(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.acos(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.cosh(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.acosh(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.sin(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.asin(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.sinh(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.asinh(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.tan(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.atan(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.tanh(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.atanh(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.ceil(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.floor(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.clamp(min: Double, max: Double): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.erf(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.erfinv(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.erfc(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.lerp(end: RealTensor, weight: RealTensor): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.lgamma(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.logit(eps: Double): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.igamma(other: RealTensor): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.igammac(other: RealTensor): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.mvlgamma(dimensions: Int): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.polygamma(order: Int): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.pow(exponent: Double): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.round(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.sigmoid(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.sinc(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.heaviside(values: RealTensor): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.trapz(xValues: RealTensor, dim: Int): RealTensor {
TODO("Not yet implemented")
}
}

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@ -0,0 +1,133 @@
package space.kscience.kmath.tensors
import space.kscience.kmath.structures.array
public class RealLinearOpsTensorAlgebra :
LinearOpsTensorAlgebra<Double, RealTensor>,
RealTensorAlgebra()
{
override fun eye(n: Int): RealTensor {
val shape = intArrayOf(n, n)
val buffer = DoubleArray(n * n) { 0.0 }
val res = RealTensor(shape, buffer)
for (i in 0 until n) {
res[intArrayOf(i, i)] = 1.0
}
return res
}
override fun RealTensor.dot(other: RealTensor): RealTensor {
TODO("Alya")
}
override fun diagonalEmbedding(diagonalEntries: RealTensor, offset: Int, dim1: Int, dim2: Int): RealTensor {
TODO("Alya")
}
override fun RealTensor.lu(): Pair<RealTensor, IntTensor> {
// todo checks
val lu = this.copy()
val m = this.shape[0]
val pivot = IntArray(m)
// Initialize permutation array and parity
for (row in 0 until m) pivot[row] = row
var even = true
for (i in 0 until m) {
var maxA = -1.0
var iMax = i
for (k in i until m) {
val absA = kotlin.math.abs(lu[k, i])
if (absA > maxA) {
maxA = absA
iMax = k
}
}
//todo check singularity
if (iMax != i) {
val j = pivot[i]
pivot[i] = pivot[iMax]
pivot[iMax] = j
even != even
for (k in 0 until m) {
val tmp = lu[i, k]
lu[i, k] = lu[iMax, k]
lu[iMax, k] = tmp
}
}
for (j in i + 1 until m) {
lu[j, i] /= lu[i, i]
for (k in i + 1 until m) {
lu[j, k] -= lu[j, i] * lu[i, k]
}
}
}
return Pair(lu, IntTensor(intArrayOf(m), pivot))
}
override fun luPivot(lu: RealTensor, pivots: IntTensor): Triple<RealTensor, RealTensor, RealTensor> {
// todo checks
val n = lu.shape[0]
val p = lu.zeroesLike()
pivots.buffer.array.forEachIndexed { i, pivot ->
p[i, pivot] = 1.0
}
val l = lu.zeroesLike()
val u = lu.zeroesLike()
for (i in 0 until n) {
for (j in 0 until n) {
if (i == j) {
l[i, j] = 1.0
}
if (j < i) {
l[i, j] = lu[i, j]
}
if (j >= i) {
u[i, j] = lu[i, j]
}
}
}
return Triple(p, l, u)
}
override fun RealTensor.det(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.inv(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.cholesky(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.qr(): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.svd(): Triple<RealTensor, RealTensor, RealTensor> {
TODO("Not yet implemented")
}
override fun RealTensor.symEig(eigenvectors: Boolean): Pair<RealTensor, RealTensor> {
TODO("Not yet implemented")
}
}
public inline fun <R> RealLinearOpsTensorAlgebra(block: RealTensorAlgebra.() -> R): R =
RealTensorAlgebra().block()

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@ -1,12 +1,9 @@
package space.kscience.kmath.tensors package space.kscience.kmath.tensors
import space.kscience.kmath.structures.RealBuffer
import space.kscience.kmath.structures.array import space.kscience.kmath.structures.array
import kotlin.math.abs
import kotlin.math.max
public class RealTensorAlgebra : TensorPartialDivisionAlgebra<Double, RealTensor> { public open class RealTensorAlgebra : TensorPartialDivisionAlgebra<Double, RealTensor> {
override fun RealTensor.value(): Double { override fun RealTensor.value(): Double {
check(this.shape contentEquals intArrayOf(1)) { check(this.shape contentEquals intArrayOf(1)) {
@ -15,24 +12,13 @@ public class RealTensorAlgebra : TensorPartialDivisionAlgebra<Double, RealTensor
return this.buffer.array[0] return this.buffer.array[0]
} }
override fun eye(n: Int): RealTensor {
val shape = intArrayOf(n, n)
val buffer = DoubleArray(n * n) { 0.0 }
val res = RealTensor(shape, buffer)
for (i in 0 until n) {
res[intArrayOf(i, i)] = 1.0
}
return res
}
override fun zeros(shape: IntArray): RealTensor { override fun zeros(shape: IntArray): RealTensor {
TODO("Not yet implemented") TODO("Not yet implemented")
} }
override fun zeroesLike(other: RealTensor): RealTensor { override fun RealTensor.zeroesLike(): RealTensor {
// TODO refactor very bad!!! val shape = this.shape
val shape = other.shape val buffer = DoubleArray(this.buffer.size) { 0.0 }
val buffer = DoubleArray(other.buffer.size) { 0.0 }
return RealTensor(shape, buffer) return RealTensor(shape, buffer)
} }
@ -40,7 +26,7 @@ public class RealTensorAlgebra : TensorPartialDivisionAlgebra<Double, RealTensor
TODO("Not yet implemented") TODO("Not yet implemented")
} }
override fun onesLike(shape: IntArray): RealTensor { override fun RealTensor.onesLike(): RealTensor {
TODO("Not yet implemented") TODO("Not yet implemented")
} }
@ -156,14 +142,6 @@ public class RealTensorAlgebra : TensorPartialDivisionAlgebra<Double, RealTensor
return RealTensor(this.shape, resBuffer) return RealTensor(this.shape, resBuffer)
} }
override fun RealTensor.dot(other: RealTensor): RealTensor {
TODO("Alya")
}
override fun diagonalEmbedding(diagonalEntries: RealTensor, offset: Int, dim1: Int, dim2: Int): RealTensor {
TODO("Alya")
}
override fun RealTensor.transpose(i: Int, j: Int): RealTensor { override fun RealTensor.transpose(i: Int, j: Int): RealTensor {
checkTranspose(this.dimension, i, j) checkTranspose(this.dimension, i, j)
val n = this.buffer.size val n = this.buffer.size
@ -198,9 +176,64 @@ public class RealTensorAlgebra : TensorPartialDivisionAlgebra<Double, RealTensor
TODO("Not yet implemented") TODO("Not yet implemented")
} }
override fun full(shape: IntArray, value: Double): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.fullLike(value: Double): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.sum(): RealTensor { override fun RealTensor.sum(dim: Int, keepDim: Boolean): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.cumsum(dim: Int): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.prod(dim: Int, keepDim: Boolean): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.cumprod(dim: Int): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.max(dim: Int, keepDim: Boolean): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.cummax(dim: Int): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.min(dim: Int, keepDim: Boolean): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.cummin(dim: Int): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.median(dim: Int, keepDim: Boolean): RealTensor {
TODO("Not yet implemented")
}
override fun maximum(lhs: RealTensor, rhs: RealTensor) {
TODO("Not yet implemented")
}
override fun minimum(lhs: RealTensor, rhs: RealTensor) {
TODO("Not yet implemented")
}
override fun RealTensor.sort(dim: Int, keepDim: Boolean, descending: Boolean): RealTensor {
TODO("Not yet implemented")
}
override fun cat(tensors: List<RealTensor>, dim: Int): RealTensor {
TODO("Not yet implemented") TODO("Not yet implemented")
} }
@ -213,6 +246,10 @@ public class RealTensorAlgebra : TensorPartialDivisionAlgebra<Double, RealTensor
TODO("Not yet implemented") TODO("Not yet implemented")
} }
override fun RealTensor.flatten(startDim: Int, endDim: Int): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.divAssign(value: Double) { override fun RealTensor.divAssign(value: Double) {
TODO("Not yet implemented") TODO("Not yet implemented")
} }
@ -221,99 +258,23 @@ public class RealTensorAlgebra : TensorPartialDivisionAlgebra<Double, RealTensor
TODO("Not yet implemented") TODO("Not yet implemented")
} }
override fun RealTensor.exp(): RealTensor { override fun RealTensor.mean(dim: Int, keepDim: Boolean): RealTensor {
TODO("Not yet implemented") TODO("Not yet implemented")
} }
override fun RealTensor.log(): RealTensor { override fun RealTensor.quantile(q: Double, dim: Int, keepDim: Boolean): RealTensor {
TODO("Not yet implemented") TODO("Not yet implemented")
} }
override fun RealTensor.std(dim: Int, unbiased: Boolean, keepDim: Boolean): RealTensor {
override fun RealTensor.lu(): Pair<RealTensor, IntTensor> {
// todo checks
val lu = this.copy()
val m = this.shape[0]
val pivot = IntArray(m)
// Initialize permutation array and parity
for (row in 0 until m) pivot[row] = row
var even = true
for (i in 0 until m) {
var maxA = -1.0
var iMax = i
for (k in i until m) {
val absA = abs(lu[k, i])
if (absA > maxA) {
maxA = absA
iMax = k
}
}
//todo check singularity
if (iMax != i) {
val j = pivot[i]
pivot[i] = pivot[iMax]
pivot[iMax] = j
even != even
for (k in 0 until m) {
val tmp = lu[i, k]
lu[i, k] = lu[iMax, k]
lu[iMax, k] = tmp
}
}
for (j in i + 1 until m) {
lu[j, i] /= lu[i, i]
for (k in i + 1 until m) {
lu[j, k] -= lu[j, i] * lu[i, k]
}
}
}
return Pair(lu, IntTensor(intArrayOf(m), pivot))
}
override fun luUnpack(lu: RealTensor, pivots: IntTensor): Triple<RealTensor, RealTensor, RealTensor> {
// todo checks
val n = lu.shape[0]
val p = zeroesLike(lu)
pivots.buffer.array.forEachIndexed { i, pivot ->
p[i, pivot] = 1.0
}
val l = zeroesLike(lu)
val u = zeroesLike(lu)
for (i in 0 until n){
for (j in 0 until n){
if (i == j) {
l[i, j] = 1.0
}
if (j < i) {
l[i, j] = lu[i, j]
}
if (j >= i) {
u[i, j] = lu[i, j]
}
}
}
return Triple(p, l, u)
}
override fun RealTensor.svd(): Triple<RealTensor, RealTensor, RealTensor> {
/**
* Main first task for @AlyaNovikova
*/
TODO("Not yet implemented") TODO("Not yet implemented")
} }
override fun RealTensor.symEig(eigenvectors: Boolean): Pair<RealTensor, RealTensor> { override fun RealTensor.variance(dim: Int, unbiased: Boolean, keepDim: Boolean): RealTensor {
TODO("Not yet implemented")
}
override fun RealTensor.histc(bins: Int, min: Double, max: Double): RealTensor {
TODO("Not yet implemented") TODO("Not yet implemented")
} }

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@ -5,11 +5,17 @@ public interface TensorAlgebra<T, TensorType : TensorStructure<T>> {
public fun TensorType.value(): T public fun TensorType.value(): T
public fun eye(n: Int): TensorType
public fun zeros(shape: IntArray): TensorType public fun zeros(shape: IntArray): TensorType
public fun zeroesLike(other: TensorType): TensorType public fun TensorType.zeroesLike(): TensorType
public fun ones(shape: IntArray): TensorType public fun ones(shape: IntArray): TensorType
public fun onesLike(shape: IntArray): TensorType public fun TensorType.onesLike(): TensorType
//https://pytorch.org/docs/stable/generated/torch.full.html
public fun full(shape: IntArray, value: T): TensorType
//https://pytorch.org/docs/stable/generated/torch.full_like.html#torch.full_like
public fun TensorType.fullLike(value: T): TensorType
public fun TensorType.copy(): TensorType public fun TensorType.copy(): TensorType
@ -33,15 +39,6 @@ public interface TensorAlgebra<T, TensorType : TensorStructure<T>> {
public operator fun TensorType.unaryMinus(): TensorType public operator fun TensorType.unaryMinus(): TensorType
//https://pytorch.org/docs/stable/generated/torch.matmul.html
public infix fun TensorType.dot(other: TensorType): TensorType
//https://pytorch.org/docs/stable/generated/torch.diag_embed.html
public fun diagonalEmbedding(
diagonalEntries: TensorType,
offset: Int = 0, dim1: Int = -2, dim2: Int = -1
): TensorType
//https://pytorch.org/docs/stable/generated/torch.transpose.html //https://pytorch.org/docs/stable/generated/torch.transpose.html
public fun TensorType.transpose(i: Int, j: Int): TensorType public fun TensorType.transpose(i: Int, j: Int): TensorType
@ -53,35 +50,45 @@ public interface TensorAlgebra<T, TensorType : TensorStructure<T>> {
public fun TensorType.abs(): TensorType public fun TensorType.abs(): TensorType
//https://pytorch.org/docs/stable/generated/torch.sum.html //https://pytorch.org/docs/stable/generated/torch.sum.html
public fun TensorType.sum(): TensorType public fun TensorType.sum(dim: Int, keepDim: Boolean): TensorType
}
// https://proofwiki.org/wiki/Definition:Division_Algebra //https://pytorch.org/docs/stable/generated/torch.cumsum.html#torch.cumsum
public interface TensorPartialDivisionAlgebra<T, TensorType : TensorStructure<T>> : public fun TensorType.cumsum(dim: Int): TensorType
TensorAlgebra<T, TensorType> {
public operator fun TensorType.div(value: T): TensorType //https://pytorch.org/docs/stable/generated/torch.prod.html#torch.prod
public operator fun TensorType.div(other: TensorType): TensorType public fun TensorType.prod(dim: Int, keepDim: Boolean): TensorType
public operator fun TensorType.divAssign(value: T)
public operator fun TensorType.divAssign(other: TensorType)
//https://pytorch.org/docs/stable/generated/torch.exp.html //https://pytorch.org/docs/stable/generated/torch.cumprod.html#torch.cumprod
public fun TensorType.exp(): TensorType public fun TensorType.cumprod(dim: Int): TensorType
//https://pytorch.org/docs/stable/generated/torch.log.html //https://pytorch.org/docs/stable/generated/torch.max.html#torch.max
public fun TensorType.log(): TensorType public fun TensorType.max(dim: Int, keepDim: Boolean): TensorType
// todo change type of pivots //https://pytorch.org/docs/stable/generated/torch.cummax.html#torch.cummax
//https://pytorch.org/docs/stable/generated/torch.lu.html public fun TensorType.cummax(dim: Int): TensorType
public fun TensorType.lu(): Pair<TensorType, IntTensor>
//https://pytorch.org/docs/stable/generated/torch.lu_unpack.html //https://pytorch.org/docs/stable/generated/torch.min.html#torch.min
public fun luUnpack(A_LU: TensorType, pivots: IntTensor): Triple<TensorType, TensorType, TensorType> public fun TensorType.min(dim: Int, keepDim: Boolean): TensorType
//https://pytorch.org/docs/stable/generated/torch.svd.html //https://pytorch.org/docs/stable/generated/torch.cummin.html#torch.cummin
public fun TensorType.svd(): Triple<TensorType, TensorType, TensorType> public fun TensorType.cummin(dim: Int): TensorType
//https://pytorch.org/docs/stable/generated/torch.symeig.html //https://pytorch.org/docs/stable/generated/torch.median.html#torch.median
public fun TensorType.symEig(eigenvectors: Boolean = true): Pair<TensorType, TensorType> public fun TensorType.median(dim: Int, keepDim: Boolean): TensorType
//https://pytorch.org/docs/stable/generated/torch.maximum.html#torch.maximum
public fun maximum(lhs: TensorType, rhs: TensorType)
//https://pytorch.org/docs/stable/generated/torch.minimum.html#torch.minimum
public fun minimum(lhs: TensorType, rhs: TensorType)
//https://pytorch.org/docs/stable/generated/torch.sort.html#torch.sort
public fun TensorType.sort(dim: Int, keepDim: Boolean, descending: Boolean): TensorType
//https://pytorch.org/docs/stable/generated/torch.cat.html#torch.cat
public fun cat(tensors: List<TensorType>, dim: Int): TensorType
//https://pytorch.org/docs/stable/generated/torch.flatten.html#torch.flatten
public fun TensorType.flatten(startDim: Int, endDim: Int): TensorType
} }

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package space.kscience.kmath.tensors
// https://proofwiki.org/wiki/Definition:Division_Algebra
public interface TensorPartialDivisionAlgebra<T, TensorType : TensorStructure<T>> :
TensorAlgebra<T, TensorType> {
public operator fun TensorType.div(value: T): TensorType
public operator fun TensorType.div(other: TensorType): TensorType
public operator fun TensorType.divAssign(value: T)
public operator fun TensorType.divAssign(other: TensorType)
//https://pytorch.org/docs/stable/generated/torch.mean.html#torch.mean
public fun TensorType.mean(dim: Int, keepDim: Boolean): TensorType
//https://pytorch.org/docs/stable/generated/torch.quantile.html#torch.quantile
public fun TensorType.quantile(q: T, dim: Int, keepDim: Boolean): TensorType
//https://pytorch.org/docs/stable/generated/torch.std.html#torch.std
public fun TensorType.std(dim: Int, unbiased: Boolean, keepDim: Boolean): TensorType
//https://pytorch.org/docs/stable/generated/torch.var.html#torch.var
public fun TensorType.variance(dim: Int, unbiased: Boolean, keepDim: Boolean): TensorType
//https://pytorch.org/docs/stable/generated/torch.histc.html#torch.histc
public fun TensorType.histc(bins: Int, min: T, max: T): TensorType
}