Inv and det #262
@ -10,9 +10,9 @@ public class DoubleLinearOpsTensorAlgebra :
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LinearOpsTensorAlgebra<Double, DoubleTensor, IntTensor>,
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DoubleTensorAlgebra() {
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override fun DoubleTensor.inv(): DoubleTensor {
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TODO("ANDREI")
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}
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override fun DoubleTensor.inv(): DoubleTensor = invLU()
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override fun DoubleTensor.det(): DoubleTensor = detLU()
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override fun DoubleTensor.lu(): Pair<DoubleTensor, IntTensor> {
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@ -156,15 +156,11 @@ public class DoubleLinearOpsTensorAlgebra :
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private fun luMatrixDet(lu: Structure2D<Double>, pivots: Structure1D<Int>): Double {
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val m = lu.shape[0]
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val sign = if((pivots[m] - m) % 2 == 0) 1.0 else -1.0
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var det = sign
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for (i in 0 until m){
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det *= lu[i, i]
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}
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return det
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return (0 until m).asSequence().map { lu[it, it] }.fold(sign) { left, right -> left * right }
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}
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public fun DoubleTensor.detLU(): DoubleTensor {
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val (luTensor, pivotsTensor) = this.lu()
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val (luTensor, pivotsTensor) = lu()
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val n = shape.size
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val detTensorShape = IntArray(n - 1) { i -> shape[i] }
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@ -211,14 +207,12 @@ public class DoubleLinearOpsTensorAlgebra :
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}
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public fun DoubleTensor.invLU(): DoubleTensor {
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val (luTensor, pivotsTensor) = this.lu()
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val (luTensor, pivotsTensor) = lu()
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val n = shape.size
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val invTensor = luTensor.zeroesLike()
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for (
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(luP, invMatrix) in
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luTensor.matrixSequence().zip(pivotsTensor.vectorSequence()).zip(invTensor.matrixSequence())
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) {
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val seq = luTensor.matrixSequence().zip(pivotsTensor.vectorSequence()).zip(invTensor.matrixSequence())
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for ((luP, invMatrix) in seq) {
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val (lu, pivots) = luP
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luMatrixInv(lu, pivots, invMatrix)
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}
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