doc/linear.md

@@ -9,7 +9,7 @@ Two major contexts used for linear algebra and hyper-geometry:
 * `VectorSpace` forms a mathematical space on top of array-like structure (`Buffer` and its type alias `Point` used for geometry). 
 
 * `MatrixContext` forms a space-like context for 2d-structures. It does not store matrix size and therefore does not implement
-`Space` interface (it is not possible to create zero element without knowing the matrix size). 
+`Space` interface (it is impossible to create zero element without knowing the matrix size). 
 
 ## Vector spaces
 

examples/build.gradle.kts

@@ -28,7 +28,9 @@ dependencies {
     implementation(project(":kmath-dimensions"))
     implementation("org.jetbrains.kotlinx:kotlinx-io-jvm:0.2.0-npm-dev-6")
     implementation("org.jetbrains.kotlinx:kotlinx.benchmark.runtime:0.2.0-dev-20")
-    "benchmarksCompile"(sourceSets.main.get().output + sourceSets.main.get().compileClasspath) //sourceSets.main.output + sourceSets.main.runtimeClasspath
+    implementation("org.slf4j:slf4j-simple:1.7.30")
+    "benchmarksImplementation"("org.jetbrains.kotlinx:kotlinx.benchmark.runtime-jvm:0.2.0-dev-8")
+    "benchmarksImplementation"(sourceSets.main.get().output + sourceSets.main.get().runtimeClasspath)
 }
 
 // Configure benchmark

examples/src/benchmarks/kotlin/kscience/kmath/structures/ArrayBenchmark.kt

@@ -6,7 +6,7 @@ import org.openjdk.jmh.annotations.State
 import java.nio.IntBuffer
 
 @State(Scope.Benchmark)
-class ArrayBenchmark {
+internal class ArrayBenchmark {
     @Benchmark
     fun benchmarkArrayRead() {
         var res = 0

examples/src/benchmarks/kotlin/kscience/kmath/structures/BufferBenchmark.kt

@@ -7,8 +7,7 @@ import org.openjdk.jmh.annotations.Scope
 import org.openjdk.jmh.annotations.State
 
 @State(Scope.Benchmark)
-class BufferBenchmark {
+internal class BufferBenchmark {
-
     @Benchmark
     fun genericRealBufferReadWrite() {
         val buffer = RealBuffer(size) { it.toDouble() }

examples/src/benchmarks/kotlin/kscience/kmath/structures/NDFieldBenchmark.kt

@@ -7,7 +7,7 @@ import org.openjdk.jmh.annotations.Scope
 import org.openjdk.jmh.annotations.State
 
 @State(Scope.Benchmark)
-class NDFieldBenchmark {
+internal class NDFieldBenchmark {
     @Benchmark
     fun autoFieldAdd() {
         bufferedField {

examples/src/benchmarks/kotlin/kscience/kmath/structures/ViktorBenchmark.kt

@@ -9,7 +9,7 @@ import org.openjdk.jmh.annotations.Scope
 import org.openjdk.jmh.annotations.State
 
 @State(Scope.Benchmark)
-class ViktorBenchmark {
+internal class ViktorBenchmark {
     final val dim: Int = 1000
     final val n: Int = 100
 
@@ -42,7 +42,7 @@ class ViktorBenchmark {
     }
 
     @Benchmark
-    fun realdFieldLog() {
+    fun realFieldLog() {
         realField {
             val fortyTwo = produce { 42.0 }
             var res = one

examples/src/main/kotlin/kscience/kmath/commons/prob/DistributionBenchmark.kt

@@ -14,11 +14,10 @@ private fun runChain(): Duration {
     val generator = RandomGenerator.fromSource(RandomSource.MT, 123L)
     val normal = Distribution.normal(NormalSamplerMethod.Ziggurat)
     val chain = normal.sample(generator) as BlockingRealChain
-
     val startTime = Instant.now()
     var sum = 0.0
-    repeat(10000001) { counter ->
 
+    repeat(10000001) { counter ->
         sum += chain.nextDouble()
 
         if (counter % 100000 == 0) {
@@ -27,6 +26,7 @@ private fun runChain(): Duration {
             println("Chain sampler completed $counter elements in $duration: $meanValue")
         }
     }
+
     return Duration.between(startTime, Instant.now())
 }
 
@@ -34,10 +34,9 @@ private fun runDirect(): Duration {
     val provider = RandomSource.create(RandomSource.MT, 123L)
     val sampler = ZigguratNormalizedGaussianSampler(provider)
     val startTime = Instant.now()
-
     var sum = 0.0
-    repeat(10000001) { counter ->
 
+    repeat(10000001) { counter ->
         sum += sampler.sample()
 
         if (counter % 100000 == 0) {
@@ -46,6 +45,7 @@ private fun runDirect(): Duration {
             println("Direct sampler completed $counter elements in $duration: $meanValue")
         }
     }
+
     return Duration.between(startTime, Instant.now())
 }
 
@@ -54,14 +54,8 @@ private fun runDirect(): Duration {
  */
 fun main() {
     runBlocking(Dispatchers.Default) {
-        val chainJob = async {
+        val chainJob = async { runChain() }
-            runChain()
+        val directJob = async { runDirect() }
-        }
-
-        val directJob = async {
-            runDirect()
-        }
-
         println("Chain: ${chainJob.await()}")
         println("Direct: ${directJob.await()}")
     }

examples/src/main/kotlin/kscience/kmath/commons/prob/DistributionDemo.kt

@@ -7,9 +7,9 @@ import kscience.kmath.prob.Distribution
 import kscience.kmath.prob.RandomGenerator
 import kscience.kmath.prob.normal
 
-data class AveragingChainState(var num: Int = 0, var value: Double = 0.0)
+private data class AveragingChainState(var num: Int = 0, var value: Double = 0.0)
 
-fun Chain<Double>.mean(): Chain<Double> = collectWithState(AveragingChainState(), { it.copy() }) { chain ->
+private fun Chain<Double>.mean(): Chain<Double> = collectWithState(AveragingChainState(), { it.copy() }) { chain ->
     val next = chain.next()
     num++
     value += next

examples/src/main/kotlin/kscience/kmath/operations/BigIntDemo.kt

@@ -1,8 +1,6 @@
 package kscience.kmath.operations
 
 fun main() {
-    val res = BigIntField {
+    val res = BigIntField { number(1) * 2 }
-        number(1) * 2
-    }
     println("bigint:$res")
 }

examples/src/main/kotlin/kscience/kmath/structures/StructureReadBenchmark.kt

@@ -4,11 +4,9 @@ import kotlin.system.measureTimeMillis
 
 fun main() {
     val n = 6000
-
     val array = DoubleArray(n * n) { 1.0 }
     val buffer = RealBuffer(array)
     val strides = DefaultStrides(intArrayOf(n, n))
-
     val structure = BufferNDStructure(strides, buffer)
 
     measureTimeMillis {

examples/src/main/kotlin/kscience/kmath/structures/StructureWriteBenchmark.kt

@@ -4,24 +4,17 @@ import kotlin.system.measureTimeMillis
 
 fun main() {
     val n = 6000
-
     val structure = NDStructure.build(intArrayOf(n, n), Buffer.Companion::auto) { 1.0 }
-
     structure.mapToBuffer { it + 1 } // warm-up
-
+    val time1 = measureTimeMillis { val res = structure.mapToBuffer { it + 1 } }
-    val time1 = measureTimeMillis {
-        val res = structure.mapToBuffer { it + 1 }
-    }
     println("Structure mapping finished in $time1 millis")
-
     val array = DoubleArray(n * n) { 1.0 }
 
     val time2 = measureTimeMillis {
         val target = DoubleArray(n * n)
-        val res = array.forEachIndexed { index, value ->
+        val res = array.forEachIndexed { index, value -> target[index] = value + 1 }
-            target[index] = value + 1
-        }
     }
+
     println("Array mapping finished in $time2 millis")
 
     val buffer = RealBuffer(DoubleArray(n * n) { 1.0 })

examples/src/main/kotlin/kscience/kmath/structures/typeSafeDimensions.kt

@@ -6,7 +6,7 @@ import kscience.kmath.dimensions.DMatrixContext
 import kscience.kmath.dimensions.Dimension
 import kscience.kmath.operations.RealField
 
-fun DMatrixContext<Double, RealField>.simple() {
+private fun DMatrixContext<Double, RealField>.simple() {
     val m1 = produce<D2, D3> { i, j -> (i + j).toDouble() }
     val m2 = produce<D3, D2> { i, j -> (i + j).toDouble() }
 
@@ -14,12 +14,11 @@ fun DMatrixContext<Double, RealField>.simple() {
     m1.transpose() + m2
 }
 
-
+private object D5 : Dimension {
-object D5 : Dimension {
     override val dim: UInt = 5u
 }
 
-fun DMatrixContext<Double, RealField>.custom() {
+private fun DMatrixContext<Double, RealField>.custom() {
     val m1 = produce<D2, D5> { i, j -> (i + j).toDouble() }
     val m2 = produce<D5, D2> { i, j -> (i - j).toDouble() }
     val m3 = produce<D2, D2> { i, j -> (i - j).toDouble() }

kmath-commons/src/main/kotlin/kscience/kmath/commons/expressions/DiffExpression.kt

@@ -9,14 +9,17 @@ import org.apache.commons.math3.analysis.differentiation.DerivativeStructure
 import kotlin.properties.ReadOnlyProperty
 
 /**
- * A field wrapping commons-math derivative structures
+ * A field over commons-math [DerivativeStructure].
+ *
+ * @property order The derivation order.
+ * @property parameters The map of free parameters.
  */
 public class DerivativeStructureField(
     public val order: Int,
     public val parameters: Map<String, Double>
 ) : ExtendedField<DerivativeStructure> {
-    public override val zero: DerivativeStructure by lazy { DerivativeStructure(order, parameters.size) }
+    public override val zero: DerivativeStructure by lazy { DerivativeStructure(parameters.size, order) }
-    public override val one: DerivativeStructure by lazy { DerivativeStructure(order, parameters.size, 1.0) }
+    public override val one: DerivativeStructure by lazy { DerivativeStructure(parameters.size, order, 1.0) }
 
     private val variables: Map<String, DerivativeStructure> = parameters.mapValues { (key, value) ->
         DerivativeStructure(parameters.size, order, parameters.keys.indexOf(key), value)

kmath-core/src/commonMain/kotlin/kscience/kmath/operations/Complex.kt

@@ -3,6 +3,7 @@ package kscience.kmath.operations
 import kscience.kmath.structures.Buffer
 import kscience.kmath.structures.MemoryBuffer
 import kscience.kmath.structures.MutableBuffer
+import kscience.kmath.structures.MutableMemoryBuffer
 import kscience.memory.MemoryReader
 import kscience.memory.MemorySpec
 import kscience.memory.MemoryWriter
@@ -177,10 +178,10 @@ public data class Complex(val re: Double, val im: Double) : FieldElement<Complex
     override fun compareTo(other: Complex): Int = r.compareTo(other.r)
 
     public companion object : MemorySpec<Complex> {
-        override val objectSize: Int = 16
+        override val objectSize: Int
+            get() = 16
 
-        override fun MemoryReader.read(offset: Int): Complex =
+        override fun MemoryReader.read(offset: Int): Complex = Complex(readDouble(offset), readDouble(offset + 8))
-            Complex(readDouble(offset), readDouble(offset + 8))
 
         override fun MemoryWriter.write(offset: Int, value: Complex) {
             writeDouble(offset, value.re)
@@ -197,8 +198,16 @@ public data class Complex(val re: Double, val im: Double) : FieldElement<Complex
  */
 public fun Number.toComplex(): Complex = Complex(this, 0.0)
 
+/**
+ * Creates a new buffer of complex numbers with the specified [size], where each element is calculated by calling the
+ * specified [init] function.
+ */
 public inline fun Buffer.Companion.complex(size: Int, init: (Int) -> Complex): Buffer<Complex> =
     MemoryBuffer.create(Complex, size, init)
 
-public inline fun MutableBuffer.Companion.complex(size: Int, init: (Int) -> Complex): Buffer<Complex> =
+/**
-    MemoryBuffer.create(Complex, size, init)
+ * Creates a new buffer of complex numbers with the specified [size], where each element is calculated by calling the
+ * specified [init] function.
+ */
+public inline fun MutableBuffer.Companion.complex(size: Int, init: (Int) -> Complex): MutableBuffer<Complex> =
+    MutableMemoryBuffer.create(Complex, size, init)

kmath-core/src/commonMain/kotlin/kscience/kmath/structures/BoxingNDField.kt

@@ -15,8 +15,9 @@ public class BoxingNDField<T, F : Field<T>>(
     public fun buildBuffer(size: Int, initializer: (Int) -> T): Buffer<T> =
         bufferFactory(size, initializer)
 
-    public override fun check(vararg elements: NDBuffer<T>) {
+    public override fun check(vararg elements: NDBuffer<T>): Array<out NDBuffer<T>> {
-        check(elements.all { it.strides == strides }) { "Element strides are not the same as context strides" }
+        require(elements.all { it.strides == strides }) { "Element strides are not the same as context strides" }
+        return elements
     }
 
     public override fun produce(initializer: F.(IntArray) -> T): BufferedNDFieldElement<T, F> =
@@ -75,6 +76,6 @@ public inline fun <T : Any, F : Field<T>, R> F.nd(
     vararg shape: Int,
     action: NDField<T, F, *>.() -> R
 ): R {
-    val ndfield: BoxingNDField<T, F> = NDField.boxing(this, *shape, bufferFactory = bufferFactory)
+    val ndfield = NDField.boxing(this, *shape, bufferFactory = bufferFactory)
     return ndfield.action()
 }

kmath-core/src/commonMain/kotlin/kscience/kmath/structures/BoxingNDRing.kt

@@ -14,8 +14,9 @@ public class BoxingNDRing<T, R : Ring<T>>(
 
     public fun buildBuffer(size: Int, initializer: (Int) -> T): Buffer<T> = bufferFactory(size, initializer)
 
-    override fun check(vararg elements: NDBuffer<T>) {
+    override fun check(vararg elements: NDBuffer<T>): Array<out NDBuffer<T>> {
-        require(elements.all { it.strides == strides }) { "Element strides are not the same as context strides" }
+        if (!elements.all { it.strides == this.strides }) error("Element strides are not the same as context strides")
+        return elements
     }
 
     override fun produce(initializer: R.(IntArray) -> T): BufferedNDRingElement<T, R> =

kmath-core/src/commonMain/kotlin/kscience/kmath/structures/BufferedNDAlgebra.kt

@@ -5,8 +5,10 @@ import kscience.kmath.operations.*
 public interface BufferedNDAlgebra<T, C> : NDAlgebra<T, C, NDBuffer<T>> {
     public val strides: Strides
 
-    public override fun check(vararg elements: NDBuffer<T>): Unit =
+    public override fun check(vararg elements: NDBuffer<T>): Array<out NDBuffer<T>> {
-        require(elements.all { it.strides == strides }) { ("Strides mismatch") }
+        require(elements.all { it.strides == strides }) { "Strides mismatch" }
+        return elements
+    }
 
     /**
      * Convert any [NDStructure] to buffered structure using strides from this context.

kmath-core/src/commonMain/kotlin/kscience/kmath/structures/Buffers.kt

@@ -46,35 +46,48 @@ public interface Buffer<T> {
         asSequence().mapIndexed { index, value -> value == other[index] }.all { it }
 
     public companion object {
-        public inline fun real(size: Int, initializer: (Int) -> Double): RealBuffer {
+        /**
-            val array = DoubleArray(size) { initializer(it) }
+         * Creates a [RealBuffer] with the specified [size], where each element is calculated by calling the specified
-            return RealBuffer(array)
+         * [initializer] function.
-        }
+         */
+        public inline fun real(size: Int, initializer: (Int) -> Double): RealBuffer =
+            RealBuffer(size) { initializer(it) }
 
         /**
-         * Create a boxing buffer of given type
+         * Creates a [ListBuffer] of given type [T] with given [size]. Each element is calculated by calling the
+         * specified [initializer] function.
          */
         public inline fun <T> boxing(size: Int, initializer: (Int) -> T): Buffer<T> =
             ListBuffer(List(size, initializer))
 
-        @Suppress("UNCHECKED_CAST")
-        public inline fun <T : Any> auto(type: KClass<T>, size: Int, crossinline initializer: (Int) -> T): Buffer<T> {
         // TODO add resolution based on Annotation or companion resolution
-            return when (type) {
+
-                Double::class -> RealBuffer(DoubleArray(size) { initializer(it) as Double }) as Buffer<T>
+        /**
-                Short::class -> ShortBuffer(ShortArray(size) { initializer(it) as Short }) as Buffer<T>
+         * Creates a [Buffer] of given [type]. If the type is primitive, specialized buffers are used ([IntBuffer],
-                Int::class -> IntBuffer(IntArray(size) { initializer(it) as Int }) as Buffer<T>
+         * [RealBuffer], etc.), [ListBuffer] is returned otherwise.
-                Long::class -> LongBuffer(LongArray(size) { initializer(it) as Long }) as Buffer<T>
+         *
+         * The [size] is specified, and each element is calculated by calling the specified [initializer] function.
+         */
+        @Suppress("UNCHECKED_CAST")
+        public inline fun <T : Any> auto(type: KClass<T>, size: Int, initializer: (Int) -> T): Buffer<T> =
+            when (type) {
+                Double::class -> RealBuffer(size) { initializer(it) as Double } as Buffer<T>
+                Short::class -> ShortBuffer(size) { initializer(it) as Short } as Buffer<T>
+                Int::class -> IntBuffer(size) { initializer(it) as Int } as Buffer<T>
+                Long::class -> LongBuffer(size) { initializer(it) as Long } as Buffer<T>
+                Float::class -> FloatBuffer(size) { initializer(it) as Float } as Buffer<T>
                 Complex::class -> complex(size) { initializer(it) as Complex } as Buffer<T>
                 else -> boxing(size, initializer)
             }
-        }
 
         /**
-         * Create most appropriate immutable buffer for given type avoiding boxing wherever possible
+         * Creates a [Buffer] of given type [T]. If the type is primitive, specialized buffers are used ([IntBuffer],
+         * [RealBuffer], etc.), [ListBuffer] is returned otherwise.
+         *
+         * The [size] is specified, and each element is calculated by calling the specified [initializer] function.
          */
         @Suppress("UNCHECKED_CAST")
-        public inline fun <reified T : Any> auto(size: Int, crossinline initializer: (Int) -> T): Buffer<T> =
+        public inline fun <reified T : Any> auto(size: Int, initializer: (Int) -> T): Buffer<T> =
             auto(T::class, size, initializer)
     }
 }
@@ -117,25 +130,40 @@ public interface MutableBuffer<T> : Buffer<T> {
         public inline fun <T> boxing(size: Int, initializer: (Int) -> T): MutableBuffer<T> =
             MutableListBuffer(MutableList(size, initializer))
 
+        /**
+         * Creates a [MutableBuffer] of given [type]. If the type is primitive, specialized buffers are used
+         * ([IntBuffer], [RealBuffer], etc.), [ListBuffer] is returned otherwise.
+         *
+         * The [size] is specified, and each element is calculated by calling the specified [initializer] function.
+         */
         @Suppress("UNCHECKED_CAST")
         public inline fun <T : Any> auto(type: KClass<out T>, size: Int, initializer: (Int) -> T): MutableBuffer<T> =
             when (type) {
-                Double::class -> RealBuffer(DoubleArray(size) { initializer(it) as Double }) as MutableBuffer<T>
+                Double::class -> RealBuffer(size) { initializer(it) as Double } as MutableBuffer<T>
-                Short::class -> ShortBuffer(ShortArray(size) { initializer(it) as Short }) as MutableBuffer<T>
+                Short::class -> ShortBuffer(size) { initializer(it) as Short } as MutableBuffer<T>
-                Int::class -> IntBuffer(IntArray(size) { initializer(it) as Int }) as MutableBuffer<T>
+                Int::class -> IntBuffer(size) { initializer(it) as Int } as MutableBuffer<T>
-                Long::class -> LongBuffer(LongArray(size) { initializer(it) as Long }) as MutableBuffer<T>
+                Float::class -> FloatBuffer(size) { initializer(it) as Float } as MutableBuffer<T>
+                Long::class -> LongBuffer(size) { initializer(it) as Long } as MutableBuffer<T>
+                Complex::class -> complex(size) { initializer(it) as Complex } as MutableBuffer<T>
                 else -> boxing(size, initializer)
             }
 
         /**
-         * Create most appropriate mutable buffer for given type avoiding boxing wherever possible
+         * Creates a [MutableBuffer] of given type [T]. If the type is primitive, specialized buffers are used
+         * ([IntBuffer], [RealBuffer], etc.), [ListBuffer] is returned otherwise.
+         *
+         * The [size] is specified, and each element is calculated by calling the specified [initializer] function.
          */
         @Suppress("UNCHECKED_CAST")
         public inline fun <reified T : Any> auto(size: Int, initializer: (Int) -> T): MutableBuffer<T> =
             auto(T::class, size, initializer)
 
-        public val real: MutableBufferFactory<Double> =
+        /**
-            { size, initializer -> RealBuffer(DoubleArray(size) { initializer(it) }) }
+         * Creates a [RealBuffer] with the specified [size], where each element is calculated by calling the specified
+         * [initializer] function.
+         */
+        public inline fun real(size: Int, initializer: (Int) -> Double): RealBuffer =
+            RealBuffer(size) { initializer(it) }
     }
 }
 

kmath-core/src/commonMain/kotlin/kscience/kmath/structures/MemoryBuffer.kt

@@ -53,7 +53,7 @@ public class MutableMemoryBuffer<T : Any>(memory: Memory, spec: MemorySpec<T>) :
         public inline fun <T : Any> create(
             spec: MemorySpec<T>,
             size: Int,
-            crossinline initializer: (Int) -> T
+            initializer: (Int) -> T
         ): MutableMemoryBuffer<T> = MutableMemoryBuffer(Memory.allocate(size * spec.objectSize), spec).also { buffer ->
             (0 until size).forEach { buffer[it] = initializer(it) }
         }

kmath-core/src/commonMain/kotlin/kscience/kmath/structures/NDAlgebra.kt

@@ -6,49 +6,77 @@ import kscience.kmath.operations.Ring
 import kscience.kmath.operations.Space
 
 /**
- * An exception is thrown when the expected ans actual shape of NDArray differs
+ * An exception is thrown when the expected ans actual shape of NDArray differs.
+ *
+ * @property expected the expected shape.
+ * @property actual the actual shape.
  */
-public class ShapeMismatchException(public val expected: IntArray, public val actual: IntArray) : RuntimeException()
+public class ShapeMismatchException(public val expected: IntArray, public val actual: IntArray) :
+    RuntimeException("Shape ${actual.contentToString()} doesn't fit in expected shape ${expected.contentToString()}.")
 
 /**
- * The base interface for all nd-algebra implementations
+ * The base interface for all ND-algebra implementations.
- * @param T the type of nd-structure element
+ *
- * @param C the type of the element context
+ * @param T the type of ND-structure element.
- * @param N the type of the structure
+ * @param C the type of the element context.
+ * @param N the type of the structure.
  */
 public interface NDAlgebra<T, C, N : NDStructure<T>> {
+    /**
+     * The shape of ND-structures this algebra operates on.
+     */
     public val shape: IntArray
+
+    /**
+     * The algebra over elements of ND structure.
+     */
     public val elementContext: C
 
     /**
-     * Produce a new [N] structure using given initializer function
+     * Produces a new [N] structure using given initializer function.
      */
     public fun produce(initializer: C.(IntArray) -> T): N
 
     /**
-     * Map elements from one structure to another one
+     * Maps elements from one structure to another one by applying [transform] to them.
      */
     public fun map(arg: N, transform: C.(T) -> T): N
 
     /**
-     * Map indexed elements
+     * Maps elements from one structure to another one by applying [transform] to them alongside with their indices.
      */
     public fun mapIndexed(arg: N, transform: C.(index: IntArray, T) -> T): N
 
     /**
-     * Combine two structures into one
+     * Combines two structures into one.
      */
     public fun combine(a: N, b: N, transform: C.(T, T) -> T): N
 
     /**
-     * Check if given elements are consistent with this context
+     * Checks if given element is consistent with this context.
+     *
+     * @param element the structure to check.
+     * @return the valid structure.
      */
-    public fun check(vararg elements: N): Unit = elements.forEach {
+    public fun check(element: N): N {
-        if (!shape.contentEquals(it.shape)) throw ShapeMismatchException(shape, it.shape)
+        if (!element.shape.contentEquals(shape)) throw ShapeMismatchException(shape, element.shape)
+        return element
     }
 
     /**
-     * element-by-element invoke a function working on [T] on a [NDStructure]
+     * Checks if given elements are consistent with this context.
+     *
+     * @param elements the structures to check.
+     * @return the array of valid structures.
+     */
+    public fun check(vararg elements: N): Array<out N> = elements
+        .map(NDStructure<T>::shape)
+        .singleOrNull { !shape.contentEquals(it) }
+        ?.let { throw ShapeMismatchException(shape, it) }
+        ?: elements
+
+    /**
+     * Element-wise invocation of function working on [T] on a [NDStructure].
      */
     public operator fun Function1<T, T>.invoke(structure: N): N = map(structure) { value -> this@invoke(value) }
 
@@ -56,42 +84,107 @@ public interface NDAlgebra<T, C, N : NDStructure<T>> {
 }
 
 /**
- * An nd-space over element space
+ * Space of [NDStructure].
+ *
+ * @param T the type of the element contained in ND structure.
+ * @param N the type of ND structure.
+ * @param S the type of space of structure elements.
  */
 public interface NDSpace<T, S : Space<T>, N : NDStructure<T>> : Space<N>, NDAlgebra<T, S, N> {
     /**
-     * Element-by-element addition
+     * Element-wise addition.
+     *
+     * @param a the addend.
+     * @param b the augend.
+     * @return the sum.
      */
-    override fun add(a: N, b: N): N = combine(a, b) { aValue, bValue -> add(aValue, bValue) }
+    public override fun add(a: N, b: N): N = combine(a, b) { aValue, bValue -> add(aValue, bValue) }
 
     /**
-     * Multiply all elements by constant
+     * Element-wise multiplication by scalar.
+     *
+     * @param a the multiplicand.
+     * @param k the multiplier.
+     * @return the product.
      */
-    override fun multiply(a: N, k: Number): N = map(a) { multiply(it, k) }
+    public override fun multiply(a: N, k: Number): N = map(a) { multiply(it, k) }
 
     // TODO move to extensions after KEEP-176
+
+    /**
+     * Adds an ND structure to an element of it.
+     *
+     * @receiver the addend.
+     * @param arg the augend.
+     * @return the sum.
+     */
     public operator fun N.plus(arg: T): N = map(this) { value -> add(arg, value) }
 
+    /**
+     * Subtracts an element from ND structure of it.
+     *
+     * @receiver the dividend.
+     * @param arg the divisor.
+     * @return the quotient.
+     */
     public operator fun N.minus(arg: T): N = map(this) { value -> add(arg, -value) }
 
+    /**
+     * Adds an element to ND structure of it.
+     *
+     * @receiver the addend.
+     * @param arg the augend.
+     * @return the sum.
+     */
     public operator fun T.plus(arg: N): N = map(arg) { value -> add(this@plus, value) }
+
+    /**
+     * Subtracts an ND structure from an element of it.
+     *
+     * @receiver the dividend.
+     * @param arg the divisor.
+     * @return the quotient.
+     */
     public operator fun T.minus(arg: N): N = map(arg) { value -> add(-this@minus, value) }
 
     public companion object
 }
 
 /**
- * An nd-ring over element ring
+ * Ring of [NDStructure].
+ *
+ * @param T the type of the element contained in ND structure.
+ * @param N the type of ND structure.
+ * @param R the type of ring of structure elements.
  */
 public interface NDRing<T, R : Ring<T>, N : NDStructure<T>> : Ring<N>, NDSpace<T, R, N> {
     /**
-     * Element-by-element multiplication
+     * Element-wise multiplication.
+     *
+     * @param a the multiplicand.
+     * @param b the multiplier.
+     * @return the product.
      */
-    override fun multiply(a: N, b: N): N = combine(a, b) { aValue, bValue -> multiply(aValue, bValue) }
+    public override fun multiply(a: N, b: N): N = combine(a, b) { aValue, bValue -> multiply(aValue, bValue) }
 
     //TODO move to extensions after KEEP-176
+
+    /**
+     * Multiplies an ND structure by an element of it.
+     *
+     * @receiver the multiplicand.
+     * @param arg the multiplier.
+     * @return the product.
+     */
     public operator fun N.times(arg: T): N = map(this) { value -> multiply(arg, value) }
 
+    /**
+     * Multiplies an element by a ND structure of it.
+     *
+     * @receiver the multiplicand.
+     * @param arg the multiplier.
+     * @return the product.
+     */
     public operator fun T.times(arg: N): N = map(arg) { value -> multiply(this@times, value) }
 
     public companion object
@@ -102,29 +195,47 @@ public interface NDRing<T, R : Ring<T>, N : NDStructure<T>> : Ring<N>, NDSpace<T
  *
  * @param T the type of the element contained in ND structure.
  * @param N the type of ND structure.
- * @param F field of structure elements.
+ * @param F the type field of structure elements.
  */
 public interface NDField<T, F : Field<T>, N : NDStructure<T>> : Field<N>, NDRing<T, F, N> {
     /**
-     * Element-by-element division
+     * Element-wise division.
+     *
+     * @param a the dividend.
+     * @param b the divisor.
+     * @return the quotient.
      */
-    override fun divide(a: N, b: N): N = combine(a, b) { aValue, bValue -> divide(aValue, bValue) }
+    public override fun divide(a: N, b: N): N = combine(a, b) { aValue, bValue -> divide(aValue, bValue) }
 
     //TODO move to extensions after KEEP-176
+    /**
+     * Divides an ND structure by an element of it.
+     *
+     * @receiver the dividend.
+     * @param arg the divisor.
+     * @return the quotient.
+     */
     public operator fun N.div(arg: T): N = map(this) { value -> divide(arg, value) }
 
+    /**
+     * Divides an element by an ND structure of it.
+     *
+     * @receiver the dividend.
+     * @param arg the divisor.
+     * @return the quotient.
+     */
     public operator fun T.div(arg: N): N = map(arg) { divide(it, this@div) }
 
     public companion object {
         private val realNDFieldCache: MutableMap<IntArray, RealNDField> = hashMapOf()
 
         /**
-         * Create a nd-field for [Double] values or pull it from cache if it was created previously
+         * Create a nd-field for [Double] values or pull it from cache if it was created previously.
          */
         public fun real(vararg shape: Int): RealNDField = realNDFieldCache.getOrPut(shape) { RealNDField(shape) }
 
         /**
-         * Create a nd-field with boxing generic buffer
+         * Create an ND field with boxing generic buffer.
          */
         public fun <T : Any, F : Field<T>> boxing(
             field: F,

kmath-core/src/commonMain/kotlin/kscience/kmath/structures/NDStructure.kt

@@ -37,9 +37,8 @@ public interface NDStructure<T> {
      */
     public fun elements(): Sequence<Pair<IntArray, T>>
 
-    override fun equals(other: Any?): Boolean
+    public override fun equals(other: Any?): Boolean
-
+    public override fun hashCode(): Int
-    override fun hashCode(): Int
 
     public companion object {
         /**
@@ -49,13 +48,8 @@ public interface NDStructure<T> {
             if (st1 === st2) return true
 
             // fast comparison of buffers if possible
-            if (
+            if (st1 is NDBuffer && st2 is NDBuffer && st1.strides == st2.strides)
-                st1 is NDBuffer &&
-                st2 is NDBuffer &&
-                st1.strides == st2.strides
-            ) {
                 return st1.buffer.contentEquals(st2.buffer)
-            }
 
             //element by element comparison if it could not be avoided
             return st1.elements().all { (index, value) -> value == st2[index] }

kmath-dimensions/src/commonMain/kotlin/kscience/kmath/dimensions/Dimensions.kt

@@ -3,8 +3,9 @@ package kscience.kmath.dimensions
 import kotlin.reflect.KClass
 
 /**
- * An abstract class which is not used in runtime. Designates a size of some structure.
+ * Represents a quantity of dimensions in certain structure.
- * Could be replaced later by fully inline constructs
+ *
+ * @property dim The number of dimensions.
  */
 public interface Dimension {
     public val dim: UInt
@@ -16,18 +17,33 @@ public fun <D : Dimension> KClass<D>.dim(): UInt = Dimension.resolve(this).dim
 
 public expect fun <D : Dimension> Dimension.Companion.resolve(type: KClass<D>): D
 
+/**
+ * Finds or creates [Dimension] with [Dimension.dim] equal to [dim].
+ */
 public expect fun Dimension.Companion.of(dim: UInt): Dimension
 
+/**
+ * Finds [Dimension.dim] of given type [D].
+ */
 public inline fun <reified D : Dimension> Dimension.Companion.dim(): UInt = D::class.dim()
 
+/**
+ * Type representing 1 dimension.
+ */
 public object D1 : Dimension {
     override val dim: UInt get() = 1U
 }
 
+/**
+ * Type representing 2 dimensions.
+ */
 public object D2 : Dimension {
     override val dim: UInt get() = 2U
 }
 
+/**
+ * Type representing 3 dimensions.
+ */
 public object D3 : Dimension {
     override val dim: UInt get() = 3U
 }

kmath-histograms/src/commonMain/kotlin/kscience/kmath/histogram/Histogram.kt

@@ -10,9 +10,10 @@ import kscience.kmath.structures.RealBuffer
  */
 public interface Bin<T : Any> : Domain<T> {
     /**
-     * The value of this bin
+     * The value of this bin.
      */
     public val value: Number
+
     public val center: Point<T>
 }
 

kmath-prob/src/commonMain/kotlin/kscience/kmath/prob/RandomGenerator.kt

@@ -3,16 +3,59 @@ package kscience.kmath.prob
 import kotlin.random.Random
 
 /**
- * A basic generator
+ * An interface that is implemented by random number generator algorithms.
  */
 public interface RandomGenerator {
+    /**
+     * Gets the next random [Boolean] value.
+     */
     public fun nextBoolean(): Boolean
+
+    /**
+     * Gets the next random [Double] value uniformly distributed between 0 (inclusive) and 1 (exclusive).
+     */
     public fun nextDouble(): Double
+
+    /**
+     * Gets the next random `Int` from the random number generator.
+     *
+     * Generates an `Int` random value uniformly distributed between [Int.MIN_VALUE] and [Int.MAX_VALUE] (inclusive).
+     */
     public fun nextInt(): Int
+
+    /**
+     * Gets the next random non-negative `Int` from the random number generator less than the specified [until] bound.
+     *
+     * Generates an `Int` random value uniformly distributed between `0` (inclusive) and the specified [until] bound
+     * (exclusive).
+     */
     public fun nextInt(until: Int): Int
+
+    /**
+     * Gets the next random `Long` from the random number generator.
+     *
+     * Generates a `Long` random value uniformly distributed between [Long.MIN_VALUE] and [Long.MAX_VALUE] (inclusive).
+     */
     public fun nextLong(): Long
+
+    /**
+     * Gets the next random non-negative `Long` from the random number generator less than the specified [until] bound.
+     *
+     * Generates a `Long` random value uniformly distributed between `0` (inclusive) and the specified [until] bound (exclusive).
+     */
     public fun nextLong(until: Long): Long
+
+    /**
+     * Fills a subrange of the specified byte [array] starting from [fromIndex] inclusive and ending [toIndex] exclusive
+     * with random bytes.
+     *
+     * @return [array] with the subrange filled with random bytes.
+     */
     public fun fillBytes(array: ByteArray, fromIndex: Int = 0, toIndex: Int = array.size)
+
+    /**
+     * Creates a byte array of the specified [size], filled with random bytes.
+     */
     public fun nextBytes(size: Int): ByteArray = ByteArray(size).also { fillBytes(it) }
 
     /**
@@ -25,12 +68,21 @@ public interface RandomGenerator {
     public fun fork(): RandomGenerator
 
     public companion object {
-        public val default: DefaultGenerator by lazy { DefaultGenerator() }
+        /**
+         * The [DefaultGenerator] instance.
+         */
+        public val default: DefaultGenerator by lazy(::DefaultGenerator)
 
+        /**
+         * Returns [DefaultGenerator] of given [seed].
+         */
         public fun default(seed: Long): DefaultGenerator = DefaultGenerator(Random(seed))
     }
 }
 
+/**
+ * Implements [RandomGenerator] by delegating all operations to [Random].
+ */
 public inline class DefaultGenerator(public val random: Random = Random) : RandomGenerator {
     public override fun nextBoolean(): Boolean = random.nextBoolean()
     public override fun nextDouble(): Double = random.nextDouble()