added complext number support

lynglib/src/commonMain/kotlin/net/sergeych/lyng/Script.kt

@@ -27,6 +27,7 @@ import net.sergeych.lyng.bytecode.CmdVm
 import net.sergeych.lyng.miniast.*
 import net.sergeych.lyng.obj.*
 import net.sergeych.lyng.pacman.ImportManager
+import net.sergeych.lyng.stdlib_included.complexLyng
 import net.sergeych.lyng.stdlib_included.decimalLyng
 import net.sergeych.lyng.stdlib_included.observableLyng
 import net.sergeych.lyng.stdlib_included.operatorsLyng
@@ -615,12 +616,91 @@ class Script(
                 type = type("lyng.Real")
             )
             getOrCreateNamespace("Math").apply {
+                fun ensureFn(name: String, fn: suspend ScopeFacade.() -> Obj) {
+                    if (members.containsKey(name)) return
+                    addFn(name, code = fn)
+                }
                 addConstDoc(
                     name = "PI",
                     value = pi,
                     doc = "The mathematical constant pi (π) in the Math namespace.",
                     type = type("lyng.Real")
                 )
+                ensureFn("floor") {
+                    val x = args.firstAndOnly()
+                    if (x is ObjInt) x else ObjReal(floor(x.toDouble()))
+                }
+                ensureFn("ceil") {
+                    val x = args.firstAndOnly()
+                    if (x is ObjInt) x else ObjReal(ceil(x.toDouble()))
+                }
+                ensureFn("round") {
+                    val x = args.firstAndOnly()
+                    if (x is ObjInt) x else ObjReal(round(x.toDouble()))
+                }
+                ensureFn("sin") {
+                    ObjReal(sin(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("cos") {
+                    ObjReal(cos(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("tan") {
+                    ObjReal(tan(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("asin") {
+                    ObjReal(asin(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("acos") {
+                    ObjReal(acos(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("atan") {
+                    ObjReal(atan(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("sinh") {
+                    ObjReal(sinh(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("cosh") {
+                    ObjReal(cosh(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("tanh") {
+                    ObjReal(tanh(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("asinh") {
+                    ObjReal(asinh(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("acosh") {
+                    ObjReal(acosh(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("atanh") {
+                    ObjReal(atanh(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("exp") {
+                    ObjReal(exp(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("ln") {
+                    ObjReal(ln(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("log10") {
+                    ObjReal(log10(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("log2") {
+                    ObjReal(log2(args.firstAndOnly().toDouble()))
+                }
+                ensureFn("pow") {
+                    requireExactCount(2)
+                    ObjReal(
+                        (args[0].toDouble()).pow(args[1].toDouble())
+                    )
+                }
+                ensureFn("sqrt") {
+                    ObjReal(
+                        sqrt(args.firstAndOnly().toDouble())
+                    )
+                }
+                ensureFn("abs") {
+                    val x = args.firstAndOnly()
+                    if (x is ObjInt) ObjInt(x.value.absoluteValue) else ObjReal(x.toDouble().absoluteValue)
+                }
             }
         }
 
@@ -759,6 +839,9 @@ class Script(
                     module.eval(Source("lyng.decimal", decimalLyng))
                     ObjBigDecimalSupport.bindTo(module)
                 }
+                addPackage("lyng.complex") { module ->
+                    module.eval(Source("lyng.complex", complexLyng))
+                }
                 addPackage("lyng.buffer") {
                     it.addConstDoc(
                         name = "Buffer",

lynglib/src/commonTest/kotlin/net/sergeych/lyng/ComplexModuleTest.kt

@@ -0,0 +1,76 @@
+/*
+ * Copyright 2026 Sergey S. Chernov real.sergeych@gmail.com
+ *
+ * Licensed under the Apache License, Version 2.0 (the "License");
+ * you may not use this file except in compliance with the License.
+ * You may obtain a copy of the License at
+ *
+ *     http://www.apache.org/licenses/LICENSE-2.0
+ *
+ * Unless required by applicable law or agreed to in writing, software
+ * distributed under the License is distributed on an "AS IS" BASIS,
+ * WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+ * See the License for the specific language governing permissions and
+ * limitations under the License.
+ *
+ */
+
+package net.sergeych.lyng
+
+import kotlinx.coroutines.test.runTest
+import kotlin.test.Test
+
+class ComplexModuleTest {
+    @Test
+    fun testComplexArithmeticAndInterop() = runTest {
+        val scope = Script.newScope()
+        scope.eval(
+            """
+            import lyng.complex
+
+            assertEquals(Complex(0.0, 2.0), 2.i)
+            assertEquals(Complex(2.0, 0.0), 2.re)
+            assertEquals(Complex(1.0, 2.0), 1 + 2.i)
+            assertEquals(Complex(1.5, 2.0), 1.5 + 2.i)
+            assertEquals(Complex(3.0, 2.0), 1 + Complex(2.0, 2.0))
+            val product: Complex = Complex(1.0, 2.0) * Complex(3.0, -1.0)
+            assertEquals(5.0, product.re)
+            assertEquals(5.0, product.im)
+            val quotient: Complex = Complex(5.0, 5.0) / Complex(3.0, -1.0)
+            assertEquals(1.0, quotient.re)
+            assertEquals(2.0, quotient.im)
+            assertEquals(Complex(1.0, -2.0), Complex(1.0, 2.0).conjugate)
+            """.trimIndent()
+        )
+    }
+
+    @Test
+    fun testComplexMemberMathFunctions() = runTest {
+        val scope = Script.newScope()
+        scope.eval(
+            """
+            import lyng.complex
+
+            val eps = 1e-9
+
+            val eipi = Complex.imaginary(π).exp()
+            assert(abs(eipi.re + 1.0) < eps)
+            assert(abs(eipi.im) < eps)
+
+            val iy: Complex = 2.i
+            val sinIy = iy.sin()
+            assert(abs(sinIy.re) < eps)
+            assert(abs(sinIy.im - sinh(2.0)) < eps)
+
+            val minusOne: Complex = (-1).re
+            val root = minusOne.sqrt()
+            assert(abs(root.re) < eps)
+            assert(abs(root.im - 1.0) < eps)
+
+            val unitLeft: Complex = cis(π)
+            assert(abs(unitLeft.re + 1.0) < eps)
+            assert(abs(unitLeft.im) < eps)
+            """.trimIndent()
+        )
+    }
+}