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

@@ -84,9 +84,9 @@ object MstExtendedField : ExtendedField<MST> {
 
     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 asin(arg: MST): MST = unaryOperation(TrigonometricOperations.ASIN_OPERATION, arg)
+    override fun acos(arg: MST): MST = unaryOperation(TrigonometricOperations.ACOS_OPERATION, arg)
+    override fun atan(arg: MST): MST = unaryOperation(TrigonometricOperations.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)

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

@@ -139,15 +139,9 @@ open class FunctionalExpressionExtendedField<T, A>(algebra: A) :
     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 asin(arg: Expression<T>): Expression<T> = unaryOperation(TrigonometricOperations.ASIN_OPERATION, arg)
+    override fun acos(arg: Expression<T>): Expression<T> = unaryOperation(TrigonometricOperations.ACOS_OPERATION, arg)
+    override fun atan(arg: Expression<T>): Expression<T> = unaryOperation(TrigonometricOperations.ATAN_OPERATION, arg)
 
     override fun power(arg: Expression<T>, pow: Number): Expression<T> =
         binaryOperation(PowerOperations.POW_OPERATION, arg, number(pow))

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

@@ -99,13 +99,6 @@ object ComplexField : ExtendedField<Complex> {
         return i * (ln(1 - iArg) - ln(1 + iArg)) / 2
     }
 
-    override fun sinh(arg: Complex): Complex = (exp(arg) - exp(-arg)) / 2
-    override fun cosh(arg: Complex): Complex = (exp(arg) + exp(-arg)) / 2
-    override fun tanh(arg: Complex): Complex = (exp(arg) - exp(-arg)) / (exp(-arg) + exp(arg))
-    override fun asinh(arg: Complex): Complex = ln(sqrt(arg * arg + 1) + arg)
-    override fun acosh(arg: Complex): Complex = ln(arg + sqrt((arg - 1) * (arg + 1)))
-    override fun atanh(arg: Complex): Complex = (ln(arg + 1) - ln(1 - arg)) / 2
-
     override fun power(arg: Complex, pow: Number): Complex = if (arg.im == 0.0)
         arg.re.pow(pow.toDouble()).toComplex()
     else
@@ -199,7 +192,7 @@ data class Complex(val re: Double, val im: Double) : FieldElement<Complex, Compl
  * @receiver the real part.
  * @return the new complex number.
  */
-fun Number.toComplex() = Complex(this, 0.0)
+fun Number.toComplex(): Complex = Complex(this, 0.0)
 
 inline fun Buffer.Companion.complex(size: Int, crossinline init: (Int) -> Complex): Buffer<Complex> {
     return MemoryBuffer.create(Complex, size, init)

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

@@ -7,8 +7,9 @@ import kotlin.math.pow as kpow
  * Advanced Number-like semifield that implements basic operations.
  */
 interface ExtendedFieldOperations<T> :
+    FieldOperations<T>,
     TrigonometricOperations<T>,
-    HyperbolicTrigonometricOperations<T>,
+    HyperbolicOperations<T>,
     PowerOperations<T>,
     ExponentialOperations<T> {
 
@@ -22,16 +23,16 @@ interface ExtendedFieldOperations<T> :
         TrigonometricOperations.ACOS_OPERATION -> acos(arg)
         TrigonometricOperations.ASIN_OPERATION -> asin(arg)
         TrigonometricOperations.ATAN_OPERATION -> atan(arg)
-        HyperbolicTrigonometricOperations.COSH_OPERATION -> cosh(arg)
-        HyperbolicTrigonometricOperations.SINH_OPERATION -> sinh(arg)
-        HyperbolicTrigonometricOperations.TANH_OPERATION -> tanh(arg)
-        HyperbolicTrigonometricOperations.ACOSH_OPERATION -> acosh(arg)
-        HyperbolicTrigonometricOperations.ASINH_OPERATION -> asinh(arg)
-        HyperbolicTrigonometricOperations.ATANH_OPERATION -> atanh(arg)
+        HyperbolicOperations.COSH_OPERATION -> cosh(arg)
+        HyperbolicOperations.SINH_OPERATION -> sinh(arg)
+        HyperbolicOperations.TANH_OPERATION -> tanh(arg)
+        HyperbolicOperations.ACOSH_OPERATION -> acosh(arg)
+        HyperbolicOperations.ASINH_OPERATION -> asinh(arg)
+        HyperbolicOperations.ATANH_OPERATION -> atanh(arg)
         PowerOperations.SQRT_OPERATION -> sqrt(arg)
         ExponentialOperations.EXP_OPERATION -> exp(arg)
         ExponentialOperations.LN_OPERATION -> ln(arg)
-        else -> super<HyperbolicTrigonometricOperations>.unaryOperation(operation, arg)
+        else -> super.unaryOperation(operation, arg)
     }
 }
 
@@ -40,6 +41,13 @@ interface ExtendedFieldOperations<T> :
  * Advanced Number-like field that implements basic operations.
  */
 interface ExtendedField<T> : ExtendedFieldOperations<T>, Field<T> {
+    override fun sinh(arg: T): T = (exp(arg) - exp(-arg)) / 2
+    override fun cosh(arg: T): T = (exp(arg) + exp(-arg)) / 2
+    override fun tanh(arg: T): T = (exp(arg) - exp(-arg)) / (exp(-arg) + exp(arg))
+    override fun asinh(arg: T): T = ln(sqrt(arg * arg + one) + arg)
+    override fun acosh(arg: T): T = ln(arg + sqrt((arg - one) * (arg + one)))
+    override fun atanh(arg: T): T = (ln(arg + one) - ln(one - arg)) / 2
+
     override fun rightSideNumberOperation(operation: String, left: T, right: Number): T = when (operation) {
         PowerOperations.POW_OPERATION -> power(left, right)
         else -> super.rightSideNumberOperation(operation, left, right)
@@ -155,7 +163,7 @@ object FloatField : ExtendedField<Float>, Norm<Float, Float> {
 }
 
 /**
- * A field for [Int] without boxing. Does not produce corresponding field element
+ * A field for [Int] without boxing. Does not produce corresponding ring element.
  */
 @Suppress("EXTENSION_SHADOWED_BY_MEMBER", "OVERRIDE_BY_INLINE", "NOTHING_TO_INLINE")
 object IntRing : Ring<Int>, Norm<Int, Int> {
@@ -179,7 +187,7 @@ object IntRing : Ring<Int>, Norm<Int, Int> {
 }
 
 /**
- * A field for [Short] without boxing. Does not produce appropriate field element
+ * A field for [Short] without boxing. Does not produce appropriate ring element.
  */
 @Suppress("EXTENSION_SHADOWED_BY_MEMBER", "OVERRIDE_BY_INLINE", "NOTHING_TO_INLINE")
 object ShortRing : Ring<Short>, Norm<Short, Short> {
@@ -203,7 +211,7 @@ object ShortRing : Ring<Short>, Norm<Short, Short> {
 }
 
 /**
- * A field for [Byte] values
+ * A field for [Byte] without boxing. Does not produce appropriate ring element.
  */
 @Suppress("EXTENSION_SHADOWED_BY_MEMBER", "OVERRIDE_BY_INLINE", "NOTHING_TO_INLINE")
 object ByteRing : Ring<Byte>, Norm<Byte, Byte> {
@@ -227,7 +235,7 @@ object ByteRing : Ring<Byte>, Norm<Byte, Byte> {
 }
 
 /**
- * A field for [Long] values
+ * A field for [Double] without boxing. Does not produce appropriate ring element.
  */
 @Suppress("EXTENSION_SHADOWED_BY_MEMBER", "OVERRIDE_BY_INLINE", "NOTHING_TO_INLINE")
 object LongRing : Ring<Long>, Norm<Long, Long> {

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

@@ -6,7 +6,7 @@ package scientifik.kmath.operations
  * 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.
  */
-interface TrigonometricOperations<T> : FieldOperations<T> {
+interface TrigonometricOperations<T> : Algebra<T> {
     /**
      * Computes the sine of [arg].
      */
@@ -62,6 +62,7 @@ interface TrigonometricOperations<T> : FieldOperations<T> {
          * The identifier of inverse cosine.
          */
         const val ACOS_OPERATION = "acos"
+
         /**
          * The identifier of inverse tangent.
          */
@@ -106,7 +107,7 @@ fun <T : MathElement<out TrigonometricOperations<T>>> atan(arg: T): T = arg.cont
  * 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.
  */
-interface HyperbolicTrigonometricOperations<T> : FieldOperations<T> {
+interface HyperbolicOperations<T> : Algebra<T> {
     /**
      * Computes the hyperbolic sine of [arg].
      */
@@ -138,21 +139,67 @@ interface HyperbolicTrigonometricOperations<T> : FieldOperations<T> {
     fun atanh(arg: T): T
 
     companion object {
+        /**
+         * The identifier of hyperbolic sine.
+         */
         const val SINH_OPERATION = "sinh"
+
+        /**
+         * The identifier of hyperbolic cosine.
+         */
         const val COSH_OPERATION = "cosh"
+
+        /**
+         * The identifier of hyperbolic tangent.
+         */
         const val TANH_OPERATION = "tanh"
+
+        /**
+         * The identifier of inverse hyperbolic sine.
+         */
         const val ASINH_OPERATION = "asinh"
+
+        /**
+         * The identifier of inverse hyperbolic cosine.
+         */
         const val ACOSH_OPERATION = "acosh"
+
+        /**
+         * The identifier of inverse hyperbolic tangent.
+         */
         const val ATANH_OPERATION = "atanh"
     }
 }
 
-fun <T : MathElement<out HyperbolicTrigonometricOperations<T>>> sinh(arg: T): T = arg.context.sinh(arg)
-fun <T : MathElement<out HyperbolicTrigonometricOperations<T>>> cosh(arg: T): T = arg.context.cosh(arg)
-fun <T : MathElement<out HyperbolicTrigonometricOperations<T>>> tanh(arg: T): T = arg.context.tanh(arg)
-fun <T : MathElement<out HyperbolicTrigonometricOperations<T>>> asinh(arg: T): T = arg.context.asinh(arg)
-fun <T : MathElement<out HyperbolicTrigonometricOperations<T>>> acosh(arg: T): T = arg.context.acosh(arg)
-fun <T : MathElement<out HyperbolicTrigonometricOperations<T>>> atanh(arg: T): T = arg.context.atanh(arg)
+/**
+ * Computes the hyperbolic sine of [arg].
+ */
+fun <T : MathElement<out HyperbolicOperations<T>>> sinh(arg: T): T = arg.context.sinh(arg)
+
+/**
+ * Computes the hyperbolic cosine of [arg].
+ */
+fun <T : MathElement<out HyperbolicOperations<T>>> cosh(arg: T): T = arg.context.cosh(arg)
+
+/**
+ * Computes the hyperbolic tangent of [arg].
+ */
+fun <T : MathElement<out HyperbolicOperations<T>>> tanh(arg: T): T = arg.context.tanh(arg)
+
+/**
+ * Computes the inverse hyperbolic sine of [arg].
+ */
+fun <T : MathElement<out HyperbolicOperations<T>>> asinh(arg: T): T = arg.context.asinh(arg)
+
+/**
+ * Computes the inverse hyperbolic cosine of [arg].
+ */
+fun <T : MathElement<out HyperbolicOperations<T>>> acosh(arg: T): T = arg.context.acosh(arg)
+
+/**
+ * Computes the inverse hyperbolic tangent of [arg].
+ */
+fun <T : MathElement<out HyperbolicOperations<T>>> atanh(arg: T): T = arg.context.atanh(arg)
 
 /**
  * A context extension to include power operations based on exponentiation.