pre-0.0.3 #46
@ -188,57 +188,57 @@ class LUPDecompositionBuilder<T : Comparable<T>, F : Field<T>>(val context: F, v
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}
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//class LUSolver<T : Comparable<T>, F : Field<T>>(val singularityCheck: (T) -> Boolean) : LinearSolver<T, F> {
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//
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//
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// override fun solve(a: Matrix<T>, b: Matrix<T>): Matrix<T> {
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// val decomposition = LUPDecompositionBuilder(ring, singularityCheck).decompose(a)
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//
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// if (b.rowNum != a.colNum) {
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// error("Matrix dimension mismatch expected ${a.rowNum}, but got ${b.colNum}")
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// }
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//
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//
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//// val bp = Array(a.rowNum) { Array<T>(b.colNum){ring.zero} }
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//// for (row in 0 until a.rowNum) {
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//// val bpRow = bp[row]
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//// val pRow = decomposition.pivot[row]
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//// for (col in 0 until b.colNum) {
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//// bpRow[col] = b[pRow, col]
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//// }
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//// }
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//
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// // Apply permutations to b
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// val bp = produce(a.rowNum, a.colNum) { i, j -> b[decomposition.pivot[i], j] }
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//
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// // Solve LY = b
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// for (col in 0 until a.rowNum) {
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// val bpCol = bp[col]
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// for (i in col + 1 until a.rowNum) {
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// val bpI = bp[i]
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// val luICol = decomposition.lu[i, col]
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// for (j in 0 until b.colNum) {
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// bpI[j] -= bpCol[j] * luICol
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// }
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class LUSolver<T : Comparable<T>, F : Field<T>>(val singularityCheck: (T) -> Boolean) : LinearSolver<T, F> {
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override fun solve(a: Matrix<T>, b: Matrix<T>): Matrix<T> {
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val decomposition = LUPDecompositionBuilder(ring, singularityCheck).decompose(a)
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if (b.rowNum != a.colNum) {
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error("Matrix dimension mismatch expected ${a.rowNum}, but got ${b.colNum}")
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}
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// val bp = Array(a.rowNum) { Array<T>(b.colNum){ring.zero} }
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// for (row in 0 until a.rowNum) {
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// val bpRow = bp[row]
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// val pRow = decomposition.pivot[row]
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// for (col in 0 until b.colNum) {
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// bpRow[col] = b[pRow, col]
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// }
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// }
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//
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// // Solve UX = Y
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// for (col in a.rowNum - 1 downTo 0) {
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// val bpCol = bp[col]
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// val luDiag = decomposition.lu[col, col]
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// for (j in 0 until b.colNum) {
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// bpCol[j] /= luDiag
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// }
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// for (i in 0 until col) {
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// val bpI = bp[i]
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// val luICol = decomposition.lu[i, col]
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// for (j in 0 until b.colNum) {
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// bpI[j] -= bpCol[j] * luICol
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// }
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// }
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// }
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//
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// return produce(a.rowNum, a.colNum) { i, j -> bp[i][j] }
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// }
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//}
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// Apply permutations to b
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val bp = produce(a.rowNum, a.colNum) { i, j -> b[decomposition.pivot[i], j] }
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// Solve LY = b
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for (col in 0 until a.rowNum) {
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val bpCol = bp[col]
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for (i in col + 1 until a.rowNum) {
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val bpI = bp[i]
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val luICol = decomposition.lu[i, col]
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for (j in 0 until b.colNum) {
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bpI[j] -= bpCol[j] * luICol
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}
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}
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}
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// Solve UX = Y
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for (col in a.rowNum - 1 downTo 0) {
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val bpCol = bp[col]
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val luDiag = decomposition.lu[col, col]
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for (j in 0 until b.colNum) {
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bpCol[j] /= luDiag
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}
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for (i in 0 until col) {
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val bpI = bp[i]
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val luICol = decomposition.lu[i, col]
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for (j in 0 until b.colNum) {
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bpI[j] -= bpCol[j] * luICol
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}
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}
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}
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return produce(a.rowNum, a.colNum) { i, j -> bp[i][j] }
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}
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}
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@ -10,15 +10,32 @@ typealias MutableBufferFactory<T> = (Int, (Int) -> T) -> MutableBuffer<T>
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*/
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interface Buffer<T> {
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/**
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* The size of the buffer
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*/
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val size: Int
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/**
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* Get element at given index
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*/
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operator fun get(index: Int): T
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/**
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* Iterate over all elements
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*/
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operator fun iterator(): Iterator<T>
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/**
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* Check content eqiality with another buffer
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*/
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fun contentEquals(other: Buffer<*>): Boolean =
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asSequence().mapIndexed { index, value -> value == other[index] }.all { it }
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/**
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* Map the contents of the buffer to new buffer of the same type
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*/
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fun transform(transformation: (index: Int, value: T) -> T): Buffer<T>
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companion object {
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/**
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@ -61,6 +78,8 @@ interface MutableBuffer<T> : Buffer<T> {
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*/
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fun copy(): MutableBuffer<T>
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fun transformInPlace(transformation: (index: Int, value: T) -> T)
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companion object {
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/**
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* Create a boxing mutable buffer of given type
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@ -93,6 +112,9 @@ inline class ListBuffer<T>(private val list: List<T>) : Buffer<T> {
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override fun get(index: Int): T = list[index]
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override fun iterator(): Iterator<T> = list.iterator()
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override fun transform(transformation: (index: Int, value: T) -> T): ListBuffer<T> =
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list.mapIndexed(transformation).asBuffer()
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}
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fun <T> List<T>.asBuffer() = ListBuffer(this)
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@ -110,11 +132,20 @@ inline class MutableListBuffer<T>(private val list: MutableList<T>) : MutableBuf
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override fun iterator(): Iterator<T> = list.iterator()
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override fun transform(transformation: (index: Int, value: T) -> T): ListBuffer<T> =
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list.mapIndexed(transformation).asBuffer()
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override fun copy(): MutableBuffer<T> = MutableListBuffer(ArrayList(list))
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override fun transformInPlace(transformation: (index: Int, value: T) -> T) = list.forEachIndexed { index, value ->
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list[index] = transformation(index, value)
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}
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}
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fun <T> MutableList<T>.asBuffer() = MutableListBuffer(this)
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class ArrayBuffer<T>(private val array: Array<T>) : MutableBuffer<T> {
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//Can't inline because array invariant
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//Can't inline because array is invariant
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override val size: Int
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get() = array.size
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@ -127,8 +158,18 @@ class ArrayBuffer<T>(private val array: Array<T>) : MutableBuffer<T> {
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override fun iterator(): Iterator<T> = array.iterator()
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override fun copy(): MutableBuffer<T> = ArrayBuffer(array.copyOf())
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override fun transform(transformation: (index: Int, value: T) -> T): ArrayBuffer<T> =
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Array(size) { index -> transformation(index, get(index)) }.asBuffer()
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override fun transformInPlace(transformation: (index: Int, value: T) -> T) = array.forEachIndexed { index, value ->
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array[index] = transformation(index, value)
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}
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}
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fun <T> Array<T>.asBuffer() = ArrayBuffer(this)
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inline class DoubleBuffer(private val array: DoubleArray) : MutableBuffer<Double> {
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override val size: Int get() = array.size
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@ -141,8 +182,18 @@ inline class DoubleBuffer(private val array: DoubleArray) : MutableBuffer<Double
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override fun iterator(): Iterator<Double> = array.iterator()
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override fun copy(): MutableBuffer<Double> = DoubleBuffer(array.copyOf())
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override fun transform(transformation: (index: Int, value: Double) -> Double): DoubleBuffer =
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DoubleArray(size) { index -> transformation(index, get(index)) }.asBuffer()
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override fun transformInPlace(transformation: (index: Int, value: Double) -> Double) =
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array.forEachIndexed { index, value ->
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array[index] = transformation(index, value)
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}
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}
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fun DoubleArray.asBuffer() = DoubleBuffer(this)
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inline class ShortBuffer(private val array: ShortArray) : MutableBuffer<Short> {
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override val size: Int get() = array.size
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@ -155,8 +206,18 @@ inline class ShortBuffer(private val array: ShortArray) : MutableBuffer<Short> {
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override fun iterator(): Iterator<Short> = array.iterator()
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override fun copy(): MutableBuffer<Short> = ShortBuffer(array.copyOf())
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override fun transform(transformation: (index: Int, value: Short) -> Short): ShortBuffer =
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ShortArray(size) { index -> transformation(index, get(index)) }.asBuffer()
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override fun transformInPlace(transformation: (index: Int, value: Short) -> Short) =
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array.forEachIndexed { index, value ->
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array[index] = transformation(index, value)
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}
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}
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fun ShortArray.asBuffer() = ShortBuffer(this)
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inline class IntBuffer(private val array: IntArray) : MutableBuffer<Int> {
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override val size: Int get() = array.size
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@ -169,8 +230,18 @@ inline class IntBuffer(private val array: IntArray) : MutableBuffer<Int> {
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override fun iterator(): Iterator<Int> = array.iterator()
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override fun copy(): MutableBuffer<Int> = IntBuffer(array.copyOf())
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override fun transform(transformation: (index: Int, value: Int) -> Int): IntBuffer =
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IntArray(size) { index -> transformation(index, get(index)) }.asBuffer()
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override fun transformInPlace(transformation: (index: Int, value: Int) -> Int) =
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array.forEachIndexed { index, value ->
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array[index] = transformation(index, value)
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}
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}
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fun IntArray.asBuffer() = IntBuffer(this)
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inline class LongBuffer(private val array: LongArray) : MutableBuffer<Long> {
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override val size: Int get() = array.size
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@ -183,14 +254,26 @@ inline class LongBuffer(private val array: LongArray) : MutableBuffer<Long> {
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override fun iterator(): Iterator<Long> = array.iterator()
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override fun copy(): MutableBuffer<Long> = LongBuffer(array.copyOf())
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override fun transform(transformation: (index: Int, value: Long) -> Long): LongBuffer =
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LongArray(size) { index -> transformation(index, get(index)) }.asBuffer()
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override fun transformInPlace(transformation: (index: Int, value: Long) -> Long) =
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array.forEachIndexed { index, value ->
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array[index] = transformation(index, value)
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}
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}
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fun LongArray.asBuffer() = LongBuffer(this)
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inline class ReadOnlyBuffer<T>(private val buffer: MutableBuffer<T>) : Buffer<T> {
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override val size: Int get() = buffer.size
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override fun get(index: Int): T = buffer.get(index)
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override fun iterator(): Iterator<T> = buffer.iterator()
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override fun transform(transformation: (index: Int, value: T) -> T): Buffer<T> = buffer.transform(transformation)
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}
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/**
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@ -210,6 +293,9 @@ class VirtualBuffer<T>(override val size: Int, private val generator: (Int) -> T
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}
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}
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// TODO this composition could become very compex very fast, replace it by boxed generator?
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override fun transform(transformation: (index: Int, value: T) -> T): Buffer<T> =
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VirtualBuffer(size) { index -> transformation(index, generator(index)) }
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}
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/**
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