Fix stdlib typos and logic bugs: Round precision arg; rename Trancate->Truncate; correct degrees/radians conversion; wrapangle shift into range; Random rands add lower; correct gcd/lcm names/logic; fix 13! constant; clarify atan2 args; update initializer registrations

src/StandardLibrary/Functions/Angle/Degrees.cs

@@ -26,7 +26,8 @@
                 var input = _args[0].Value;
                 decimal value = Convert.ToDecimal(input.Value);
 
-                return new FunctionValue(FunctionValueType.Numeric, double.DegreesToRadians((double)value));
+                // Convert radians to degrees
+                return new FunctionValue(FunctionValueType.Numeric, double.RadiansToDegrees((double)value));
             });
         }
     }

src/StandardLibrary/Functions/Angle/Radians.cs

@@ -26,7 +26,8 @@
                 var input = _args[0].Value;
                 decimal value = Convert.ToDecimal(input.Value);
 
-                return new FunctionValue(FunctionValueType.Numeric, double.RadiansToDegrees((double)value));
+                // Convert degrees to radians
+                return new FunctionValue(FunctionValueType.Numeric, double.DegreesToRadians((double)value));
             });
         }
     }

src/StandardLibrary/Functions/Angle/WrapAngle.cs

@@ -31,12 +31,12 @@
                 var inputPeriodEnd = _args[2].Value;
                 decimal periodEnd = Convert.ToDecimal(inputPeriodEnd.Value);
 
-                // Perform modulo.
+                // Perform modulo and shift into [periodStart, periodEnd)
                 decimal width = periodEnd - periodStart;
                 decimal modulus = value % width;
                 modulus = modulus < 0 ? modulus + width : modulus;
 
-                return new FunctionValue(FunctionValueType.Numeric, modulus);
+                return new FunctionValue(FunctionValueType.Numeric, periodStart + modulus);
             });
         }
     }

src/StandardLibrary/Functions/NumberTheory/Factorial.cs

@@ -37,7 +37,7 @@ namespace CSMic.StandardLibrary.Functions.NumberTheory
                 /* 10 */ 3628800,
                 /* 11 */ 39916800,
                 /* 12 */ 479001600,
-                /* 13 */ 62207020800,
+                /* 13 */ 6227020800,
                 /* 14 */ 87178291200,
                 /* 15 */ 1307674368000,
                 /* 16 */ 20922789888000,

src/StandardLibrary/Functions/NumberTheory/GreatedCommonDenomitator.cs

@@ -7,7 +7,7 @@ using System.Threading.Tasks;
 
 namespace CSMic.StandardLibrary.Functions.NumberTheory
 {
-    public class GreatestCommonDevisor : FunctionBase, ICodedFunction
+    public class GreatestCommonDivisor : FunctionBase, ICodedFunction
     {
         public string Name
         {
@@ -46,9 +46,8 @@ namespace CSMic.StandardLibrary.Functions.NumberTheory
                 }
 
                 decimal gcd = EuclideanAlgorithm(first, second);
-                decimal lcd = (first * second) / gcd;
 
-                return new FunctionValue(FunctionValueType.Numeric, lcd);
+                return new FunctionValue(FunctionValueType.Numeric, gcd);
             });
         }
 

src/StandardLibrary/Functions/NumberTheory/LeastCommonMultiple.cs

@@ -13,7 +13,7 @@ namespace CSMic.StandardLibrary.Functions.NumberTheory
         {
             get
             {
-                return "gcd";
+                return "lcm";
             }
         }
 
@@ -45,7 +45,10 @@ namespace CSMic.StandardLibrary.Functions.NumberTheory
                     return FunctionValue.ZERO;
                 }
 
-                return new FunctionValue(FunctionValueType.Numeric, EuclideanAlgorithm(first, second));
+                decimal gcd = EuclideanAlgorithm(first, second);
+                decimal lcm = (first * second) / gcd;
+
+                return new FunctionValue(FunctionValueType.Numeric, lcm);
             });
         }
 

src/StandardLibrary/Functions/Random/RandomUniformSpread.cs

@@ -36,7 +36,7 @@ namespace CSMic.StandardLibrary.Functions.Random
                     return FunctionValue.ZERO;
                 }
 
-                return new FunctionValue(FunctionValueType.Numeric, NextDecimal() * (upper - lower));
+                return new FunctionValue(FunctionValueType.Numeric, lower + NextDecimal() * (upper - lower));
             });
         }
     }

src/StandardLibrary/Functions/Rounding/Round.cs

@@ -16,6 +16,7 @@
             get
             {
                 yield return new FunctionArgument("value", FunctionValue.NUMBER);
+                yield return new FunctionArgument("precision", FunctionValue.NUMBER);
             }
         }
 
@@ -26,7 +27,7 @@
                 var inputValue = _args[0].Value;
                 decimal value = Convert.ToDecimal(inputValue.Value);
                 var inputPrecision = _args[1].Value;
-                decimal precision = Convert.ToDecimal(inputValue.Value);
+                decimal precision = Convert.ToDecimal(inputPrecision.Value);
                 precision = Math.Round(precision);
                 int precisionInt = Convert.ToInt32(precision);
 

src/StandardLibrary/Functions/Rounding/Truncate.cs

@@ -1,6 +1,6 @@
 namespace CSMic.StandardLibrary.Functions.Rounding
 {
-    public class Trancate : FunctionBase, ICodedFunction
+    public class Truncate : FunctionBase, ICodedFunction
     {
 
         public string Name

src/StandardLibrary/Functions/Trigonometry/Atan2.cs

@@ -15,8 +15,8 @@
         {
             get
             {
-                yield return new FunctionArgument("value", FunctionValue.NUMBER);
+                yield return new FunctionArgument("y", FunctionValue.NUMBER);
-                yield return new FunctionArgument("value", FunctionValue.NUMBER);
+                yield return new FunctionArgument("x", FunctionValue.NUMBER);
             }
         }
 

src/StandardLibrary/Initializer.cs

@@ -66,7 +66,7 @@ namespace CSMic.StandardLibrary
             inputInterpreter.RegisterFunction(new Factorial());
             inputInterpreter.RegisterFunction(new BinomialCoefficient());
             inputInterpreter.RegisterFunction(new Permutations());
-            inputInterpreter.RegisterFunction(new GreatestCommonDevisor());
+            inputInterpreter.RegisterFunction(new GreatestCommonDivisor());
             inputInterpreter.RegisterFunction(new LeastCommonMultiple());
         }
 
@@ -80,7 +80,7 @@ namespace CSMic.StandardLibrary
             inputInterpreter.RegisterFunction(new Floor());
             inputInterpreter.RegisterFunction(new Ceiling());
             inputInterpreter.RegisterFunction(new Fractional());
-            inputInterpreter.RegisterFunction(new Trancate());
+            inputInterpreter.RegisterFunction(new Truncate());
             inputInterpreter.RegisterFunction(new Round());
             inputInterpreter.RegisterFunction(new Clamp());
         }