kmath-ast/src/commonMain/kotlin/scientifik/kmath/ast/MST.kt

@@ -5,42 +5,54 @@ import scientifik.kmath.operations.NumericAlgebra
 import scientifik.kmath.operations.RealField
 
 /**
- * A Mathematical Syntax Tree node for mathematical expressions
+ * A Mathematical Syntax Tree node for mathematical expressions.
  */
 sealed class MST {
-
     /**
-     * A node containing unparsed string
+     * A node containing raw string.
+     *
+     * @property value the value of this node.
      */
     data class Symbolic(val value: String) : MST()
 
     /**
-     * A node containing a number
+     * A node containing a numeric value or scalar.
+     *
+     * @property value the value of this number.
      */
     data class Numeric(val value: Number) : MST()
 
     /**
-     * A node containing an unary operation
+     * A node containing an unary operation.
+     *
+     * @property operation the identifier of operation.
+     * @property value the argument of this operation.
      */
     data class Unary(val operation: String, val value: MST) : MST() {
-        companion object {
+        companion object
-            const val ABS_OPERATION = "abs"
-            //TODO add operations
-        }
     }
 
     /**
-     * A node containing binary operation
+     * A node containing binary operation.
+     *
+     * @property operation the identifier operation.
+     * @property left the left operand.
+     * @property right the right operand.
      */
     data class Binary(val operation: String, val left: MST, val right: MST) : MST() {
         companion object
     }
 }
 
-//TODO add a function with positional arguments
-
 // TODO add a function with named arguments
 
+/**
+ * Interprets the [MST] node with this [Algebra].
+ *
+ * @receiver the algebra that provides operations.
+ * @param node the node to evaluate.
+ * @return the value of expression.
+ */
 fun <T> Algebra<T>.evaluate(node: MST): T = when (node) {
     is MST.Numeric -> (this as? NumericAlgebra<T>)?.number(node.value)
         ?: error("Numeric nodes are not supported by $this")
@@ -65,4 +77,11 @@ fun <T> Algebra<T>.evaluate(node: MST): T = when (node) {
     }
 }
 
-fun <T> MST.compile(algebra: Algebra<T>): T = algebra.evaluate(this)
+/**
+ * Interprets the [MST] node with this [Algebra].
+ *
+ * @receiver the node to evaluate.
+ * @param algebra the algebra that provides operations.
+ * @return the value of expression.
+ */
+fun <T> MST.interpret(algebra: Algebra<T>): T = algebra.evaluate(this)

kmath-ast/src/commonMain/kotlin/scientifik/kmath/ast/MstAlgebra.kt

@@ -2,6 +2,9 @@ package scientifik.kmath.ast
 
 import scientifik.kmath.operations.*
 
+/**
+ * [Algebra] over [MST] nodes.
+ */
 object MstAlgebra : NumericAlgebra<MST> {
     override fun number(value: Number): MST = MST.Numeric(value)
 
@@ -14,17 +17,16 @@ object MstAlgebra : NumericAlgebra<MST> {
         MST.Binary(operation, left, right)
 }
 
+/**
+ * [Space] over [MST] nodes.
+ */
 object MstSpace : Space<MST>, NumericAlgebra<MST> {
     override val zero: MST = number(0.0)
 
     override fun number(value: Number): MST = MstAlgebra.number(value)
     override fun symbol(value: String): MST = MstAlgebra.symbol(value)
-
+    override fun add(a: MST, b: MST): MST = binaryOperation(SpaceOperations.PLUS_OPERATION, a, b)
-    override fun add(a: MST, b: MST): MST =
+    override fun multiply(a: MST, k: Number): MST = binaryOperation(RingOperations.TIMES_OPERATION, a, number(k))
-        binaryOperation(SpaceOperations.PLUS_OPERATION, a, b)
-
-    override fun multiply(a: MST, k: Number): MST =
-        binaryOperation(RingOperations.TIMES_OPERATION, a, number(k))
 
     override fun binaryOperation(operation: String, left: MST, right: MST): MST =
         MstAlgebra.binaryOperation(operation, left, right)
@@ -32,41 +34,69 @@ object MstSpace : Space<MST>, NumericAlgebra<MST> {
     override fun unaryOperation(operation: String, arg: MST): MST = MstAlgebra.unaryOperation(operation, arg)
 }
 
+/**
+ * [Ring] over [MST] nodes.
+ */
 object MstRing : Ring<MST>, NumericAlgebra<MST> {
     override val zero: MST = number(0.0)
     override val one: MST = number(1.0)
 
-    override fun number(value: Number): MST = MstAlgebra.number(value)
+    override fun number(value: Number): MST = MstSpace.number(value)
-    override fun symbol(value: String): MST = MstAlgebra.symbol(value)
+    override fun symbol(value: String): MST = MstSpace.symbol(value)
-    override fun add(a: MST, b: MST): MST = binaryOperation(SpaceOperations.PLUS_OPERATION, a, b)
+    override fun add(a: MST, b: MST): MST = MstSpace.add(a, b)
 
-    override fun multiply(a: MST, k: Number): MST =
+    override fun multiply(a: MST, k: Number): MST = MstSpace.multiply(a, k)
-        binaryOperation(RingOperations.TIMES_OPERATION, a, MstSpace.number(k))
 
     override fun multiply(a: MST, b: MST): MST = binaryOperation(RingOperations.TIMES_OPERATION, a, b)
 
     override fun binaryOperation(operation: String, left: MST, right: MST): MST =
-        MstAlgebra.binaryOperation(operation, left, right)
+        MstSpace.binaryOperation(operation, left, right)
 
     override fun unaryOperation(operation: String, arg: MST): MST = MstAlgebra.unaryOperation(operation, arg)
 }
 
+/**
+ * [Field] over [MST] nodes.
+ */
 object MstField : Field<MST> {
     override val zero: MST = number(0.0)
     override val one: MST = number(1.0)
 
-    override fun symbol(value: String): MST = MstAlgebra.symbol(value)
+    override fun symbol(value: String): MST = MstRing.symbol(value)
-    override fun number(value: Number): MST = MstAlgebra.number(value)
+    override fun number(value: Number): MST = MstRing.number(value)
-    override fun add(a: MST, b: MST): MST = binaryOperation(SpaceOperations.PLUS_OPERATION, a, b)
+    override fun add(a: MST, b: MST): MST = MstRing.add(a, b)
-
+    override fun multiply(a: MST, k: Number): MST = MstRing.multiply(a, k)
-    override fun multiply(a: MST, k: Number): MST =
+    override fun multiply(a: MST, b: MST): MST = MstRing.multiply(a, b)
-        binaryOperation(RingOperations.TIMES_OPERATION, a, MstSpace.number(k))
-
-    override fun multiply(a: MST, b: MST): MST = binaryOperation(RingOperations.TIMES_OPERATION, a, b)
     override fun divide(a: MST, b: MST): MST = binaryOperation(FieldOperations.DIV_OPERATION, a, b)
 
     override fun binaryOperation(operation: String, left: MST, right: MST): MST =
-        MstAlgebra.binaryOperation(operation, left, right)
+        MstRing.binaryOperation(operation, left, right)
 
-    override fun unaryOperation(operation: String, arg: MST): MST = MstAlgebra.unaryOperation(operation, arg)
+    override fun unaryOperation(operation: String, arg: MST): MST = MstRing.unaryOperation(operation, arg)
+}
+
+/**
+ * [ExtendedField] over [MST] nodes.
+ */
+object MstExtendedField : ExtendedField<MST> {
+    override val zero: MST = number(0.0)
+    override val one: MST = number(1.0)
+
+    override fun sin(arg: MST): MST = unaryOperation(TrigonometricOperations.SIN_OPERATION, arg)
+    override fun cos(arg: MST): MST = unaryOperation(TrigonometricOperations.COS_OPERATION, arg)
+    override fun asin(arg: MST): MST = unaryOperation(InverseTrigonometricOperations.ASIN_OPERATION, arg)
+    override fun acos(arg: MST): MST = unaryOperation(InverseTrigonometricOperations.ACOS_OPERATION, arg)
+    override fun atan(arg: MST): MST = unaryOperation(InverseTrigonometricOperations.ATAN_OPERATION, arg)
+    override fun add(a: MST, b: MST): MST = MstField.add(a, b)
+    override fun multiply(a: MST, k: Number): MST = MstField.multiply(a, k)
+    override fun multiply(a: MST, b: MST): MST = MstField.multiply(a, b)
+    override fun divide(a: MST, b: MST): MST = MstField.divide(a, b)
+    override fun power(arg: MST, pow: Number): MST = binaryOperation(PowerOperations.POW_OPERATION, arg, number(pow))
+    override fun exp(arg: MST): MST = unaryOperation(ExponentialOperations.EXP_OPERATION, arg)
+    override fun ln(arg: MST): MST = unaryOperation(ExponentialOperations.LN_OPERATION, arg)
+
+    override fun binaryOperation(operation: String, left: MST, right: MST): MST =
+        MstField.binaryOperation(operation, left, right)
+
+    override fun unaryOperation(operation: String, arg: MST): MST = MstField.unaryOperation(operation, arg)
 }

kmath-ast/src/commonMain/kotlin/scientifik/kmath/ast/MstExpression.kt

@@ -1,19 +1,16 @@
 package scientifik.kmath.ast
 
-import scientifik.kmath.expressions.Expression
+import scientifik.kmath.expressions.*
-import scientifik.kmath.expressions.FunctionalExpressionField
-import scientifik.kmath.expressions.FunctionalExpressionRing
-import scientifik.kmath.expressions.FunctionalExpressionSpace
 import scientifik.kmath.operations.*
 
 /**
- * The expression evaluates MST on-flight. Should be much faster than functional expression, but slower than ASM-generated expressions.
+ * The expression evaluates MST on-flight. Should be much faster than functional expression, but slower than
+ * ASM-generated expressions.
+ *
+ * @property algebra the algebra that provides operations.
+ * @property mst the [MST] node.
  */
 class MstExpression<T>(val algebra: Algebra<T>, val mst: MST) : Expression<T> {
-
-    /**
-     * Substitute algebra raw value
-     */
     private inner class InnerAlgebra(val arguments: Map<String, T>) : NumericAlgebra<T> {
         override fun symbol(value: String): T = arguments[value] ?: algebra.symbol(value)
         override fun unaryOperation(operation: String, arg: T): T = algebra.unaryOperation(operation, arg)
@@ -30,26 +27,62 @@ class MstExpression<T>(val algebra: Algebra<T>, val mst: MST) : Expression<T> {
     override fun invoke(arguments: Map<String, T>): T = InnerAlgebra(arguments).evaluate(mst)
 }
 
-
+/**
+ * Builds [MstExpression] over [Algebra].
+ */
 inline fun <reified T : Any, A : Algebra<T>, E : Algebra<MST>> A.mst(
     mstAlgebra: E,
     block: E.() -> MST
 ): MstExpression<T> = MstExpression(this, mstAlgebra.block())
 
+/**
+ * Builds [MstExpression] over [Space].
+ */
 inline fun <reified T : Any> Space<T>.mstInSpace(block: MstSpace.() -> MST): MstExpression<T> =
     MstExpression(this, MstSpace.block())
 
+/**
+ * Builds [MstExpression] over [Ring].
+ */
 inline fun <reified T : Any> Ring<T>.mstInRing(block: MstRing.() -> MST): MstExpression<T> =
     MstExpression(this, MstRing.block())
 
+/**
+ * Builds [MstExpression] over [Field].
+ */
 inline fun <reified T : Any> Field<T>.mstInField(block: MstField.() -> MST): MstExpression<T> =
     MstExpression(this, MstField.block())
 
-inline fun <reified T : Any, A : Space<T>> FunctionalExpressionSpace<T, A>.mstInSpace(block: MstSpace.() -> MST): MstExpression<T> =
+/**
-    algebra.mstInSpace(block)
+ * Builds [MstExpression] over [ExtendedField].
+ */
+inline fun <reified T : Any> Field<T>.mstInExtendedField(block: MstExtendedField.() -> MST): MstExpression<T> =
+    MstExpression(this, MstExtendedField.block())
 
-inline fun <reified T : Any, A : Ring<T>> FunctionalExpressionRing<T, A>.mstInRing(block: MstRing.() -> MST): MstExpression<T> =
+/**
-    algebra.mstInRing(block)
+ * Builds [MstExpression] over [FunctionalExpressionSpace].
+ */
+inline fun <reified T : Any, A : Space<T>> FunctionalExpressionSpace<T, A>.mstInSpace(
+    block: MstSpace.() -> MST
+): MstExpression<T> = algebra.mstInSpace(block)
 
-inline fun <reified T : Any, A : Field<T>> FunctionalExpressionField<T, A>.mstInField(block: MstField.() -> MST): MstExpression<T> =
+/**
-    algebra.mstInField(block)
+ * Builds [MstExpression] over [FunctionalExpressionRing].
+ */
+inline fun <reified T : Any, A : Ring<T>> FunctionalExpressionRing<T, A>.mstInRing(
+    block: MstRing.() -> MST
+): MstExpression<T> = algebra.mstInRing(block)
+
+/**
+ * Builds [MstExpression] over [FunctionalExpressionField].
+ */
+inline fun <reified T : Any, A : Field<T>> FunctionalExpressionField<T, A>.mstInField(
+    block: MstField.() -> MST
+): MstExpression<T> = algebra.mstInField(block)
+
+/**
+ * Builds [MstExpression] over [FunctionalExpressionExtendedField].
+ */
+inline fun <reified T : Any, A : ExtendedField<T>> FunctionalExpressionExtendedField<T, A>.mstInExtendedField(
+    block: MstExtendedField.() -> MST
+): MstExpression<T> = algebra.mstInExtendedField(block)

kmath-ast/src/commonMain/kotlin/scientifik/kmath/ast/parser.kt

@@ -80,5 +80,18 @@ object ArithmeticsEvaluator : Grammar<MST>() {
     override val rootParser: Parser<MST> by subSumChain
 }
 
+/**
+ * Tries to parse the string into [MST].
+ *
+ * @receiver the string to parse.
+ * @return the [MST] node.
+ */
 fun String.tryParseMath(): ParseResult<MST> = ArithmeticsEvaluator.tryParseToEnd(this)
+
+/**
+ * Parses the string into [MST].
+ *
+ * @receiver the string to parse.
+ * @return the [MST] node.
+ */
 fun String.parseMath(): MST = ArithmeticsEvaluator.parseToEnd(this)

kmath-core/src/commonMain/kotlin/scientifik/kmath/expressions/Builders.kt

@@ -1,5 +1,6 @@
 package scientifik.kmath.expressions
 
+import scientifik.kmath.operations.ExtendedField
 import scientifik.kmath.operations.Field
 import scientifik.kmath.operations.Ring
 import scientifik.kmath.operations.Space
@@ -21,3 +22,10 @@ fun <T> Ring<T>.ringExpression(block: FunctionalExpressionRing<T, Ring<T>>.() ->
  */
 fun <T> Field<T>.fieldExpression(block: FunctionalExpressionField<T, Field<T>>.() -> Expression<T>): Expression<T> =
     FunctionalExpressionField(this).run(block)
+
+/**
+ * Creates a functional expression with this [ExtendedField].
+ */
+fun <T> ExtendedField<T>.fieldExpression(
+    block: FunctionalExpressionExtendedField<T, ExtendedField<T>>.() -> Expression<T>
+): Expression<T> = FunctionalExpressionExtendedField(this).run(block)

kmath-core/src/commonMain/kotlin/scientifik/kmath/expressions/Expression.kt

@@ -6,6 +6,12 @@ import scientifik.kmath.operations.Algebra
  * An elementary function that could be invoked on a map of arguments
  */
 interface Expression<T> {
+    /**
+     * Calls this expression from arguments.
+     *
+     * @param arguments the map of arguments.
+     * @return the value.
+     */
     operator fun invoke(arguments: Map<String, T>): T
 
     companion object
@@ -19,6 +25,12 @@ fun <T> Algebra<T>.expression(block: Algebra<T>.(arguments: Map<String, T>) -> T
         override fun invoke(arguments: Map<String, T>): T = block(arguments)
     }
 
+/**
+ * Calls this expression from arguments.
+ *
+ * @param pairs the pair of arguments' names to values.
+ * @return the value.
+ */
 operator fun <T> Expression<T>.invoke(vararg pairs: Pair<String, T>): T = invoke(mapOf(*pairs))
 
 /**

kmath-core/src/commonMain/kotlin/scientifik/kmath/expressions/FunctionalExpressionAlgebra.kt

@@ -40,7 +40,6 @@ internal class FunctionalConstProductExpression<T>(
  * @param algebra The algebra to provide for Expressions built.
  */
 abstract class FunctionalExpressionAlgebra<T, A : Algebra<T>>(val algebra: A) : ExpressionAlgebra<T, Expression<T>> {
-
     /**
      * Builds an Expression of constant expression which does not depend on arguments.
      */
@@ -69,14 +68,13 @@ abstract class FunctionalExpressionAlgebra<T, A : Algebra<T>>(val algebra: A) :
  */
 open class FunctionalExpressionSpace<T, A : Space<T>>(algebra: A) :
     FunctionalExpressionAlgebra<T, A>(algebra), Space<Expression<T>> {
-
     override val zero: Expression<T> get() = const(algebra.zero)
 
     /**
      * Builds an Expression of addition of two another expressions.
      */
     override fun add(a: Expression<T>, b: Expression<T>): Expression<T> =
-        FunctionalBinaryOperation(algebra, SpaceOperations.PLUS_OPERATION, a, b)
+        binaryOperation(SpaceOperations.PLUS_OPERATION, a, b)
 
     /**
      * Builds an Expression of multiplication of expression by number.
@@ -105,7 +103,7 @@ open class FunctionalExpressionRing<T, A>(algebra: A) : FunctionalExpressionSpac
      * Builds an Expression of multiplication of two expressions.
      */
     override fun multiply(a: Expression<T>, b: Expression<T>): Expression<T> =
-        FunctionalBinaryOperation(algebra, RingOperations.TIMES_OPERATION, a, b)
+        binaryOperation(RingOperations.TIMES_OPERATION, a, b)
 
     operator fun Expression<T>.times(arg: T): Expression<T> = this * const(arg)
     operator fun T.times(arg: Expression<T>): Expression<T> = arg * this
@@ -124,7 +122,7 @@ open class FunctionalExpressionField<T, A>(algebra: A) :
      * Builds an Expression of division an expression by another one.
      */
     override fun divide(a: Expression<T>, b: Expression<T>): Expression<T> =
-        FunctionalBinaryOperation(algebra, FieldOperations.DIV_OPERATION, a, b)
+        binaryOperation(FieldOperations.DIV_OPERATION, a, b)
 
     operator fun Expression<T>.div(arg: T): Expression<T> = this / const(arg)
     operator fun T.div(arg: Expression<T>): Expression<T> = arg / this
@@ -136,6 +134,34 @@ open class FunctionalExpressionField<T, A>(algebra: A) :
         super<FunctionalExpressionRing>.binaryOperation(operation, left, right)
 }
 
+open class FunctionalExpressionExtendedField<T, A>(algebra: A) :
+    FunctionalExpressionField<T, A>(algebra),
+    ExtendedField<Expression<T>> where A : ExtendedField<T>, A : NumericAlgebra<T> {
+    override fun sin(arg: Expression<T>): Expression<T> = unaryOperation(TrigonometricOperations.SIN_OPERATION, arg)
+    override fun cos(arg: Expression<T>): Expression<T> = unaryOperation(TrigonometricOperations.COS_OPERATION, arg)
+
+    override fun asin(arg: Expression<T>): Expression<T> =
+        unaryOperation(InverseTrigonometricOperations.ASIN_OPERATION, arg)
+
+    override fun acos(arg: Expression<T>): Expression<T> =
+        unaryOperation(InverseTrigonometricOperations.ACOS_OPERATION, arg)
+
+    override fun atan(arg: Expression<T>): Expression<T> =
+        unaryOperation(InverseTrigonometricOperations.ATAN_OPERATION, arg)
+
+    override fun power(arg: Expression<T>, pow: Number): Expression<T> =
+        binaryOperation(PowerOperations.POW_OPERATION, arg, number(pow))
+
+    override fun exp(arg: Expression<T>): Expression<T> = unaryOperation(ExponentialOperations.EXP_OPERATION, arg)
+    override fun ln(arg: Expression<T>): Expression<T> = unaryOperation(ExponentialOperations.LN_OPERATION, arg)
+
+    override fun unaryOperation(operation: String, arg: Expression<T>): Expression<T> =
+        super<FunctionalExpressionField>.unaryOperation(operation, arg)
+
+    override fun binaryOperation(operation: String, left: Expression<T>, right: Expression<T>): Expression<T> =
+        super<FunctionalExpressionField>.binaryOperation(operation, left, right)
+}
+
 inline fun <T, A : Space<T>> A.expressionInSpace(block: FunctionalExpressionSpace<T, A>.() -> Expression<T>): Expression<T> =
     FunctionalExpressionSpace(this).block()
 
@@ -144,3 +170,6 @@ inline fun <T, A : Ring<T>> A.expressionInRing(block: FunctionalExpressionRing<T
 
 inline fun <T, A : Field<T>> A.expressionInField(block: FunctionalExpressionField<T, A>.() -> Expression<T>): Expression<T> =
     FunctionalExpressionField(this).block()
+
+inline fun <T, A : ExtendedField<T>> A.expressionInExtendedField(block: FunctionalExpressionExtendedField<T, A>.() -> Expression<T>): Expression<T> =
+    FunctionalExpressionExtendedField(this).block()

kmath-coroutines/src/commonMain/kotlin/scientifik/kmath/streaming/RingBuffer.kt

@@ -11,7 +11,7 @@ import kotlin.reflect.KClass
  * Thread-safe ring buffer
  */
 @Suppress("UNCHECKED_CAST")
-internal class RingBuffer<T>(
+class RingBuffer<T>(
     private val buffer: MutableBuffer<T?>,
     private var startIndex: Int = 0,
     size: Int = 0