Cleanup doc mistakes, fix number fields corner cases

kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/Algebra.kt

@@ -58,12 +58,10 @@ interface NumericAlgebra<T> : Algebra<T> {
 inline operator fun <A : Algebra<*>, R> A.invoke(block: A.() -> R): R = run(block)
 
 /**
- * Represents semispace, i.e. algebraic structure with associative binary operation called "addition" as well as
+ * Represents "semispace", i.e. algebraic structure with associative binary operation called "addition" as well as
  * multiplication by scalars.
  *
- * In KMath groups are called spaces, and also define multiplication of element by [Number].
- *
- * @param T the type of element of this semigroup.
+ * @param T the type of element of this "semispace".
  */
 interface SpaceOperations<T> : Algebra<T> {
     /**

kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/NumberAlgebra.kt

@@ -1,5 +1,6 @@
 package scientifik.kmath.operations
 
+import scientifik.kmath.operations.RealField.pow
 import kotlin.math.abs
 import kotlin.math.pow as kpow
 
@@ -83,6 +84,11 @@ object RealField : ExtendedField<Double>, Norm<Double, Double> {
     override val one: Double
         get() = 1.0
 
+    override fun binaryOperation(operation: String, left: Double, right: Double): Double = when (operation) {
+        PowerOperations.POW_OPERATION -> left pow right
+        else -> super.binaryOperation(operation, left, right)
+    }
+
     override inline fun add(a: Double, b: Double): Double = a + b
     override inline fun multiply(a: Double, k: Number): Double = a * k.toDouble()
 
@@ -128,6 +134,11 @@ object FloatField : ExtendedField<Float>, Norm<Float, Float> {
     override val one: Float
         get() = 1.0f
 
+    override fun binaryOperation(operation: String, left: Float, right: Float): Float = when (operation) {
+        PowerOperations.POW_OPERATION -> left pow right
+        else -> super.binaryOperation(operation, left, right)
+    }
+
     override inline fun add(a: Float, b: Float): Float = a + b
     override inline fun multiply(a: Float, k: Number): Float = a * k.toFloat()
 

kmath-core/src/commonMain/kotlin/scientifik/kmath/operations/OptionalOperations.kt

@@ -1,10 +1,9 @@
 package scientifik.kmath.operations
 
 /**
- * A container for trigonometric operations for specific type. They are limited to semifields.
+ * A container for trigonometric operations for specific type.
  *
- * The operations are not exposed to class directly to avoid method bloat but instead are declared in the field.
- * It also allows to override behavior for optional operations.
+ * @param T the type of element of this structure.
  */
 interface TrigonometricOperations<T> : Algebra<T> {
     /**
@@ -101,11 +100,9 @@ fun <T : MathElement<out TrigonometricOperations<T>>> acos(arg: T): T = arg.cont
 fun <T : MathElement<out TrigonometricOperations<T>>> atan(arg: T): T = arg.context.atan(arg)
 
 /**
- * A container for hyperbolic trigonometric operations for specific type. Trigonometric operations are limited to
- * fields.
+ * A container for hyperbolic trigonometric operations for specific type.
  *
- * The operations are not exposed to class directly to avoid method bloat but instead are declared in the field. It
- * also allows to override behavior for optional operations.
+ * @param T the type of element of this structure.
  */
 interface HyperbolicOperations<T> : Algebra<T> {
     /**
@@ -203,6 +200,8 @@ fun <T : MathElement<out HyperbolicOperations<T>>> atanh(arg: T): T = arg.contex
 
 /**
  * A context extension to include power operations based on exponentiation.
+ *
+ * @param T the type of element of this structure.
  */
 interface PowerOperations<T> : Algebra<T> {
     /**
@@ -254,6 +253,8 @@ fun <T : MathElement<out PowerOperations<T>>> sqr(arg: T): T = arg pow 2.0
 
 /**
  * A container for operations related to `exp` and `ln` functions.
+ *
+ * @param T the type of element of this structure.
  */
 interface ExponentialOperations<T> : Algebra<T> {
     /**
@@ -291,6 +292,9 @@ fun <T : MathElement<out ExponentialOperations<T>>> ln(arg: T): T = arg.context.
 
 /**
  * A container for norm functional on element.
+ *
+ * @param T the type of element having norm defined.
+ * @param R the type of norm.
  */
 interface Norm<in T : Any, out R> {
     /**