Improved trigonometry operations

kmath-ast/src/jvmMain/kotlin/scientifik/kmath/asm/internal/instructionAdapters.kt

@@ -0,0 +1,10 @@
+package scientifik.kmath.asm.internal
+
+import org.objectweb.asm.Label
+import org.objectweb.asm.commons.InstructionAdapter
+
+internal fun InstructionAdapter.label(): Label {
+    val l = Label()
+    visitLabel(l)
+    return l
+}

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

@@ -59,8 +59,10 @@ class DerivativeStructureField(
     override fun divide(a: DerivativeStructure, b: DerivativeStructure): DerivativeStructure = a.divide(b)
 
     override fun sin(arg: DerivativeStructure): DerivativeStructure = arg.sin()
-
     override fun cos(arg: DerivativeStructure): DerivativeStructure = arg.cos()
+    override fun asin(arg: DerivativeStructure): DerivativeStructure = arg.asin()
+    override fun acos(arg: DerivativeStructure): DerivativeStructure = arg.acos()
+    override fun atan(arg: DerivativeStructure): DerivativeStructure = arg.atan()
 
     override fun power(arg: DerivativeStructure, pow: Number): DerivativeStructure = when (pow) {
         is Double -> arg.pow(pow)
@@ -136,6 +138,3 @@ object DiffExpressionAlgebra : ExpressionAlgebra<Double, DiffExpression>, Field<
     override fun divide(a: DiffExpression, b: DiffExpression) =
         DiffExpression { a.function(this) / b.function(this) }
 }
-
-
-

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

@@ -8,6 +8,8 @@ import scientifik.memory.MemorySpec
 import scientifik.memory.MemoryWriter
 import kotlin.math.*
 
+private val PI_DIV_2 = Complex(PI / 2, 0)
+
 /**
  * A field for complex numbers
  */
@@ -30,9 +32,11 @@ object ComplexField : ExtendedField<Complex> {
         return Complex((a.re * b.re + a.im * b.im) / norm, (a.re * b.im - a.im * b.re) / norm)
     }
 
-    override fun sin(arg: Complex): Complex = i / 2 * (exp(-i * arg) - exp(i * arg))
-
+    override fun sin(arg: Complex): Complex = i * (exp(-i * arg) - exp(i * arg)) / 2
     override fun cos(arg: Complex): Complex = (exp(-i * arg) + exp(i * arg)) / 2
+    override fun asin(arg: Complex): Complex = -i * ln(sqrt(one - arg pow 2) + i * arg)
+    override fun acos(arg: Complex): Complex = PI_DIV_2 + i * ln(sqrt(one - arg pow 2) + i * arg)
+    override fun atan(arg: Complex): Complex = i * (ln(one - i * arg) - ln(one + i * arg)) / 2
 
     override fun power(arg: Complex, pow: Number): Complex =
         arg.r.pow(pow.toDouble()) * (cos(pow.toDouble() * arg.theta) + i * sin(pow.toDouble() * arg.theta))

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

@@ -7,8 +7,7 @@ import kotlin.math.pow as kpow
  * Advanced Number-like field that implements basic operations
  */
 interface ExtendedFieldOperations<T> :
-    FieldOperations<T>,
-    TrigonometricOperations<T>,
+    InverseTrigonometricOperations<T>,
     PowerOperations<T>,
     ExponentialOperations<T> {
 
@@ -17,21 +16,21 @@ interface ExtendedFieldOperations<T> :
     override fun unaryOperation(operation: String, arg: T): T = when (operation) {
         TrigonometricOperations.COS_OPERATION -> cos(arg)
         TrigonometricOperations.SIN_OPERATION -> sin(arg)
+        TrigonometricOperations.TAN_OPERATION -> tan(arg)
+        InverseTrigonometricOperations.ACOS_OPERATION -> acos(arg)
+        InverseTrigonometricOperations.ASIN_OPERATION -> asin(arg)
+        InverseTrigonometricOperations.ATAN_OPERATION -> atan(arg)
         PowerOperations.SQRT_OPERATION -> sqrt(arg)
         ExponentialOperations.EXP_OPERATION -> exp(arg)
         ExponentialOperations.LN_OPERATION -> ln(arg)
         else -> super.unaryOperation(operation, arg)
     }
-
 }
 
 interface ExtendedField<T> : ExtendedFieldOperations<T>, Field<T> {
-    override fun rightSideNumberOperation(operation: String, left: T, right: Number): T {
-        return when (operation) {
-            PowerOperations.POW_OPERATION -> power(left, right)
-            else -> super.rightSideNumberOperation(operation, left, right)
-        }
-
+    override fun rightSideNumberOperation(operation: String, left: T, right: Number): T = when (operation) {
+        PowerOperations.POW_OPERATION -> power(left, right)
+        else -> super.rightSideNumberOperation(operation, left, right)
     }
 }
 
@@ -65,7 +64,10 @@ object RealField : ExtendedField<Double>, Norm<Double, Double> {
 
     override inline fun sin(arg: Double) = kotlin.math.sin(arg)
     override inline fun cos(arg: Double) = kotlin.math.cos(arg)
-    override inline fun tan(arg: Double) = kotlin.math.tan(arg)
+    override inline fun tan(arg: Double): Double = kotlin.math.tan(arg)
+    override inline fun acos(arg: Double): Double = kotlin.math.acos(arg)
+    override inline fun asin(arg: Double): Double = kotlin.math.asin(arg)
+    override inline fun atan(arg: Double): Double = kotlin.math.atan(arg)
 
     override inline fun power(arg: Double, pow: Number) = arg.kpow(pow.toDouble())
 
@@ -97,8 +99,10 @@ object FloatField : ExtendedField<Float>, Norm<Float, Float> {
 
     override inline fun sin(arg: Float) = kotlin.math.sin(arg)
     override inline fun cos(arg: Float) = kotlin.math.cos(arg)
-
-    override inline fun tan(arg: Float): Float = kotlin.math.tan(arg)
+    override inline fun tan(arg: Float) = kotlin.math.tan(arg)
+    override inline fun acos(arg: Float) = kotlin.math.acos(arg)
+    override inline fun asin(arg: Float) = kotlin.math.asin(arg)
+    override inline fun atan(arg: Float) = kotlin.math.atan(arg)
 
     override inline fun power(arg: Float, pow: Number) = arg.pow(pow.toFloat())
 

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

@@ -10,28 +10,43 @@ package scientifik.kmath.operations
  * It also allows to override behavior for optional operations
  *
  */
-interface TrigonometricOperations<T> {
+interface TrigonometricOperations<T> : FieldOperations<T> {
     fun sin(arg: T): T
     fun cos(arg: T): T
-
     fun tan(arg: T): T
 
     companion object {
         const val SIN_OPERATION = "sin"
         const val COS_OPERATION = "cos"
+        const val TAN_OPERATION = "tan"
+    }
+}
+
+interface InverseTrigonometricOperations<T> : TrigonometricOperations<T> {
+    fun asin(arg: T): T
+    fun acos(arg: T): T
+    fun atan(arg: T): T
+
+    companion object {
+        const val ASIN_OPERATION = "asin"
+        const val ACOS_OPERATION = "acos"
+        const val ATAN_OPERATION = "atan"
     }
 }
 
 fun <T : MathElement<out TrigonometricOperations<T>>> sin(arg: T): T = arg.context.sin(arg)
 fun <T : MathElement<out TrigonometricOperations<T>>> cos(arg: T): T = arg.context.cos(arg)
 fun <T : MathElement<out TrigonometricOperations<T>>> tan(arg: T): T = arg.context.tan(arg)
+fun <T : MathElement<out InverseTrigonometricOperations<T>>> asin(arg: T): T = arg.context.asin(arg)
+fun <T : MathElement<out InverseTrigonometricOperations<T>>> acos(arg: T): T = arg.context.acos(arg)
+fun <T : MathElement<out InverseTrigonometricOperations<T>>> atan(arg: T): T = arg.context.atan(arg)
 
 /* Power and roots */
 
 /**
  * A context extension to include power operations like square roots, etc
  */
-interface PowerOperations<T> {
+interface PowerOperations<T> : Algebra<T> {
     fun power(arg: T, pow: Number): T
     fun sqrt(arg: T) = power(arg, 0.5)
 
@@ -49,7 +64,7 @@ fun <T : MathElement<out PowerOperations<T>>> sqr(arg: T): T = arg pow 2.0
 
 /* Exponential */
 
-interface ExponentialOperations<T> {
+interface ExponentialOperations<T> : Algebra<T> {
     fun exp(arg: T): T
     fun ln(arg: T): T
 
@@ -66,4 +81,4 @@ interface Norm<in T : Any, out R> {
     fun norm(arg: T): R
 }
 
-fun <T : MathElement<out Norm<T, R>>, R> norm(arg: T): R = arg.context.norm(arg)
+fun <T : MathElement<out Norm<T, R>>, R> norm(arg: T): R = arg.context.norm(arg)

kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/ComplexNDField.kt

@@ -79,6 +79,13 @@ class ComplexNDField(override val shape: IntArray) :
 
     override fun cos(arg: NDBuffer<Complex>) = map(arg) { cos(it) }
 
+    override fun tan(arg: NDBuffer<Complex>): NDBuffer<Complex> = map(arg) { tan(it) }
+
+    override fun asin(arg: NDBuffer<Complex>): NDBuffer<Complex> = map(arg) { asin(it) }
+
+    override fun acos(arg: NDBuffer<Complex>): NDBuffer<Complex> = map(arg) {acos(it)}
+
+    override fun atan(arg: NDBuffer<Complex>): NDBuffer<Complex> = map(arg) {atan(it)}
 }
 
 

kmath-core/src/commonMain/kotlin/scientifik/kmath/structures/RealBufferField.kt

@@ -11,97 +11,106 @@ import kotlin.math.*
 object RealBufferFieldOperations : ExtendedFieldOperations<Buffer<Double>> {
     override fun add(a: Buffer<Double>, b: Buffer<Double>): RealBuffer {
         require(b.size == a.size) { "The size of the first buffer ${a.size} should be the same as for second one: ${b.size} " }
+
         return if (a is RealBuffer && b is RealBuffer) {
             val aArray = a.array
             val bArray = b.array
             RealBuffer(DoubleArray(a.size) { aArray[it] + bArray[it] })
-        } else {
+        } else
             RealBuffer(DoubleArray(a.size) { a[it] + b[it] })
-        }
     }
 
     override fun multiply(a: Buffer<Double>, k: Number): RealBuffer {
         val kValue = k.toDouble()
+
         return if (a is RealBuffer) {
             val aArray = a.array
             RealBuffer(DoubleArray(a.size) { aArray[it] * kValue })
-        } else {
+        } else
             RealBuffer(DoubleArray(a.size) { a[it] * kValue })
-        }
     }
 
     override fun multiply(a: Buffer<Double>, b: Buffer<Double>): RealBuffer {
         require(b.size == a.size) { "The size of the first buffer ${a.size} should be the same as for second one: ${b.size} " }
+
         return if (a is RealBuffer && b is RealBuffer) {
             val aArray = a.array
             val bArray = b.array
             RealBuffer(DoubleArray(a.size) { aArray[it] * bArray[it] })
-        } else {
+        } else
             RealBuffer(DoubleArray(a.size) { a[it] * b[it] })
-        }
     }
 
     override fun divide(a: Buffer<Double>, b: Buffer<Double>): RealBuffer {
         require(b.size == a.size) { "The size of the first buffer ${a.size} should be the same as for second one: ${b.size} " }
+
         return if (a is RealBuffer && b is RealBuffer) {
             val aArray = a.array
             val bArray = b.array
             RealBuffer(DoubleArray(a.size) { aArray[it] / bArray[it] })
-        } else {
+        } else
             RealBuffer(DoubleArray(a.size) { a[it] / b[it] })
-        }
-    }
-
-    override fun sin(arg: Buffer<Double>): RealBuffer {
-        return if (arg is RealBuffer) {
-            val array = arg.array
-            RealBuffer(DoubleArray(arg.size) { sin(array[it]) })
-        } else {
-            RealBuffer(DoubleArray(arg.size) { sin(arg[it]) })
-        }
-    }
-
-    override fun cos(arg: Buffer<Double>): RealBuffer {
-        return if (arg is RealBuffer) {
-            val array = arg.array
-            RealBuffer(DoubleArray(arg.size) { cos(array[it]) })
-        } else {
-            RealBuffer(DoubleArray(arg.size) { cos(arg[it]) })
-        }
     }
 
-    override fun power(arg: Buffer<Double>, pow: Number): RealBuffer {
-        return if (arg is RealBuffer) {
-            val array = arg.array
-            RealBuffer(DoubleArray(arg.size) { array[it].pow(pow.toDouble()) })
-        } else {
-            RealBuffer(DoubleArray(arg.size) { arg[it].pow(pow.toDouble()) })
-        }
-    }
-
-    override fun exp(arg: Buffer<Double>): RealBuffer {
-        return if (arg is RealBuffer) {
-            val array = arg.array
-            RealBuffer(DoubleArray(arg.size) { exp(array[it]) })
-        } else {
-            RealBuffer(DoubleArray(arg.size) { exp(arg[it]) })
-        }
-    }
-
-    override fun ln(arg: Buffer<Double>): RealBuffer {
-        return if (arg is RealBuffer) {
-            val array = arg.array
-            RealBuffer(DoubleArray(arg.size) { ln(array[it]) })
-        } else {
-            RealBuffer(DoubleArray(arg.size) { ln(arg[it]) })
-        }
-    }
+    override fun sin(arg: Buffer<Double>): RealBuffer = if (arg is RealBuffer) {
+        val array = arg.array
+        RealBuffer(DoubleArray(arg.size) { sin(array[it]) })
+    } else {
+        RealBuffer(DoubleArray(arg.size) { sin(arg[it]) })
+    }
+
+    override fun cos(arg: Buffer<Double>): RealBuffer = if (arg is RealBuffer) {
+        val array = arg.array
+        RealBuffer(DoubleArray(arg.size) { cos(array[it]) })
+    } else
+        RealBuffer(DoubleArray(arg.size) { cos(arg[it]) })
+
+    override fun tan(arg: Buffer<Double>): RealBuffer = if (arg is RealBuffer) {
+        val array = arg.array
+        RealBuffer(DoubleArray(arg.size) { tan(array[it]) })
+    } else
+        RealBuffer(DoubleArray(arg.size) { tan(arg[it]) })
+
+    override fun asin(arg: Buffer<Double>): RealBuffer = if (arg is RealBuffer) {
+        val array = arg.array
+        RealBuffer(DoubleArray(arg.size) { asin(array[it]) })
+    } else {
+        RealBuffer(DoubleArray(arg.size) { asin(arg[it]) })
+    }
+
+    override fun acos(arg: Buffer<Double>): RealBuffer = if (arg is RealBuffer) {
+        val array = arg.array
+        RealBuffer(DoubleArray(arg.size) { acos(array[it]) })
+    } else
+        RealBuffer(DoubleArray(arg.size) { acos(arg[it]) })
+
+    override fun atan(arg: Buffer<Double>): RealBuffer = if (arg is RealBuffer) {
+        val array = arg.array
+        RealBuffer(DoubleArray(arg.size) { atan(array[it]) })
+    } else
+        RealBuffer(DoubleArray(arg.size) { atan(arg[it]) })
+
+    override fun power(arg: Buffer<Double>, pow: Number): RealBuffer = if (arg is RealBuffer) {
+        val array = arg.array
+        RealBuffer(DoubleArray(arg.size) { array[it].pow(pow.toDouble()) })
+    } else
+        RealBuffer(DoubleArray(arg.size) { arg[it].pow(pow.toDouble()) })
+
+    override fun exp(arg: Buffer<Double>): RealBuffer = if (arg is RealBuffer) {
+        val array = arg.array
+        RealBuffer(DoubleArray(arg.size) { exp(array[it]) })
+    } else
+        RealBuffer(DoubleArray(arg.size) { exp(arg[it]) })
+
+    override fun ln(arg: Buffer<Double>): RealBuffer = if (arg is RealBuffer) {
+        val array = arg.array
+        RealBuffer(DoubleArray(arg.size) { ln(array[it]) })
+    } else
+        RealBuffer(DoubleArray(arg.size) { ln(arg[it]) })
 }
 
 class RealBufferField(val size: Int) : ExtendedField<Buffer<Double>> {
-
     override val zero: Buffer<Double> by lazy { RealBuffer(size) { 0.0 } }
-
     override val one: Buffer<Double> by lazy { RealBuffer(size) { 1.0 } }
 
     override fun add(a: Buffer<Double>, b: Buffer<Double>): RealBuffer {
@@ -119,7 +128,6 @@ class RealBufferField(val size: Int) : ExtendedField<Buffer<Double>> {
         return RealBufferFieldOperations.multiply(a, b)
     }
 
-
     override fun divide(a: Buffer<Double>, b: Buffer<Double>): RealBuffer {
         require(a.size == size) { "The buffer size ${a.size} does not match context size $size" }
         return RealBufferFieldOperations.divide(a, b)
@@ -135,6 +143,26 @@ class RealBufferField(val size: Int) : ExtendedField<Buffer<Double>> {
         return RealBufferFieldOperations.cos(arg)
     }
 
+    override fun tan(arg: Buffer<Double>): RealBuffer {
+        require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
+        return RealBufferFieldOperations.tan(arg)
+    }
+
+    override fun asin(arg: Buffer<Double>): RealBuffer {
+        require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
+        return RealBufferFieldOperations.asin(arg)
+    }
+
+    override fun acos(arg: Buffer<Double>): RealBuffer {
+        require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
+        return RealBufferFieldOperations.acos(arg)
+    }
+
+    override fun atan(arg: Buffer<Double>): RealBuffer {
+        require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
+        return RealBufferFieldOperations.atan(arg)
+    }
+
     override fun power(arg: Buffer<Double>, pow: Number): RealBuffer {
         require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
         return RealBufferFieldOperations.power(arg, pow)
@@ -149,5 +177,4 @@ class RealBufferField(val size: Int) : ExtendedField<Buffer<Double>> {
         require(arg.size == size) { "The buffer size ${arg.size} does not match context size $size" }
         return RealBufferFieldOperations.ln(arg)
     }
-
-}
+}