WIP: Implemented a rough system for function evaluation

MathEngine/EngineTests/AST Tests/Nodes/NodeFactoryTests.cs

@@ -4,6 +4,7 @@ using MathEngine.AST.Nodes;
 using MathEngine.Tokenizer;
 
 using static MathEngine.Tokenizer.Token;
+using MathEngine.Types;
 
 namespace EngineTests.Parser_Tests.Nodes
 {
@@ -18,8 +19,8 @@ namespace EngineTests.Parser_Tests.Nodes
         [Fact]
         public void TestNodeFactoryBinaryNodesOnDefinedOperations()
         {
-            NumericNode<decimal> node1 = new(200);
+            NumericNode node1 = new(new DecimalValue(200));
-            NumericNode<decimal> node2 = new(100);
+            NumericNode node2 = new(new DecimalValue(100));
 
             Token plus = Token.Plus;
             Token minus = Token.Minus;

MathEngine/MathEngine/AST/Nodes/BaseNode.cs

@@ -1,11 +1,4 @@
-using System;
+namespace MathEngine.AST.Nodes
-using System.Collections.Generic;
-using System.Linq;
-using System.Numerics;
-using System.Text;
-using System.Threading.Tasks;
-
-namespace MathEngine.AST.Nodes
 {
     /// <summary>
     /// Abstract class representing a Node in a Tree structure

MathEngine/MathEngine/AST/Nodes/FunctionNode.cs

@@ -1,21 +1,23 @@
-using System;
+using MathEngine.Types.Interfaces;
+using System;
 using System.Collections.Generic;
 using System.Linq;
 using System.Numerics;
 using System.Text;
 using System.Threading.Tasks;
+using static MathEngine.Functions.BuiltIns.BuiltIns;
 
 namespace MathEngine.AST.Nodes
 {
     /// <summary>
     /// Represents a Tree node that stores a function
     /// </summary>
-    internal class FunctionNode<T> : BaseNode where T : INumber<T>
+    internal class FunctionNode : BaseNode
     {
-        Action func;
+        private FunctionWrapper func;
-        List<NumericNode<T>> args;
+        private INumericNode[] args;
 
-        public FunctionNode(Action Function, List<NumericNode<T>> arguments)
+        public FunctionNode(FunctionWrapper Function, INumericNode[] arguments)
         {
             func = Function;
             args = arguments;
@@ -23,7 +25,7 @@ namespace MathEngine.AST.Nodes
 
         public override BaseNode Evaluate()
         {
-            throw new NotImplementedException();
+            return func(args);
         }
     }
 }

MathEngine/MathEngine/AST/Nodes/NodeFactory.cs

@@ -1,5 +1,9 @@
-using MathEngine.Tokenizer;
+using MathEngine.Functions.BuiltIns;
-
+using MathEngine.Tokenizer;
+using MathEngine.Types;
+using MathEngine.Types.Interfaces;
+using System.Runtime.Intrinsics.X86;
+using Xunit.Sdk;
 using static MathEngine.Tokenizer.Token;
 
 namespace MathEngine.AST.Nodes
@@ -32,7 +36,7 @@ namespace MathEngine.AST.Nodes
                     return new BinaryNode(LeftBranch, RightBranch, (a, b) => a / b);
                 case TokenType.Exponentiation:
                     throw new NotImplementedException("Exponentiation is not supported at this time!");
-                    return new BinaryNode(LeftBranch, RightBranch, (a, b) => a ^ b);
+                    // return new BinaryNode(LeftBranch, RightBranch, (a, b) => a ^ b);
                 default:
                     throw new NotImplementedException("Attempted to create a BinaryNode with an invalid operation!");
             }
@@ -46,23 +50,25 @@ namespace MathEngine.AST.Nodes
         /// <returns></returns>
         public static BaseNode CreateFunctionNode(Token FunctionToken, Stack<BaseNode> ArgumentStack)
         {
-            throw new NotImplementedException("Not implemented at this time");
+            int argc = (int)FunctionToken.Arity;
-            /* Check that the function exists, if it does we then check that the number of arguments
-             * for the function is are avaliable on the ArgumentStack. If so we can construct the Node.
-             * Otherwise, either the function does not exist or there is an argument mismatch */
-            /*try
-            {
-                functionAction = GetFunction(FunctionToken, out int functionArity);
-                if (functionArity >= ArgumentStack.Count)
-                {
-                    throw new ArgumentException("Number of required arguments is greater than avaliable arugments");
-                }
-            }
-            catch (Exception)
-            {
 
-                throw;
+            INumericNode[] argsv = new INumericNode[argc];
-            }*/
+
+            for (int i = argc; i > 0; i--)
+            {
+                // TODO: Update so either INumeric or function nodes are allowed
+                // this will enable nested functions
+                if (ArgumentStack.Peek() is INumericNode numericNode)
+                {
+                    argsv[i - 1] = numericNode;
+                    ArgumentStack.Pop();
+                }
+                else
+                {
+                    throw new InvalidOperationException("Function arguments implement INumericNode.");
+                }
+             }
+            return new FunctionNode(BuiltIns.GetFunction(FunctionToken.Value), argsv);
         }
 
         /// <summary>
@@ -81,7 +87,7 @@ namespace MathEngine.AST.Nodes
             {
                 throw new ArgumentException("Failure to parse number");
             }
-            return new NumericNode<decimal>(res);
+            return new NumericallyOrderableNode<DecimalValue>(new DecimalValue(res));
         }
 
     }

MathEngine/MathEngine/AST/Nodes/NumericNode.cs

@@ -1,87 +1,115 @@
-using System.Numerics;
+using MathEngine.Types.Interfaces;
+using System.Numerics;
+using System.Runtime.CompilerServices;
 
 namespace MathEngine.AST.Nodes
 {
     /// <summary>
     /// Represents a Tree node that can store a numeric value
     /// </summary>
-    internal class NumericNode<T> : BaseNode where T : INumber<T>
+    internal class NumericNode<T>: BaseNode, INumericNode, ITrigonometricNode where T : struct, INumeric<T>
     {
-        private readonly decimal Value;
+        protected readonly T _value;
+
+        Type INumericNode.NumericType
+        {
+            get
+            {
+                return typeof(T);
+            }
+        }
 
         /// <summary>
         /// Initialises a new instance of a NumericNode with a given Token
         /// </summary>
         /// <param name="value">The token for the nodes value</param>
-        public NumericNode(decimal value)
+        public NumericNode(T value)
         {
             Children = null;
-            Value = value;
+            _value = value;
         }
 
         protected override BaseNode Add(BaseNode otherNode)
         {
-            if (otherNode is NumericNode<decimal>)
+            if (otherNode is NumericNode<T> rhs)
             {
-                NumericNode<decimal> rhs = (NumericNode<decimal>)otherNode;
+                return new NumericNode<T>(_value.Add(rhs._value));
-                return new NumericNode<decimal>(Value + rhs.Value);
             }
             throw new InvalidOperationException("Attempted Invalid operation");
         }
 
         protected override BaseNode Subtract(BaseNode otherNode)
         {
-            if (otherNode is NumericNode<decimal>)
+            if (otherNode is NumericNode<T>)
             {
-                NumericNode<decimal> rhs = (NumericNode<decimal>)otherNode;
+                NumericNode<T> rhs = (NumericNode<T>)otherNode;
-                return new NumericNode<decimal>(Value - rhs.Value);
+                return new NumericNode<T>(_value.Subtract(rhs._value));
             }
             throw new InvalidOperationException("Attempted Invalid operation");
         }
 
         protected override BaseNode Multiply(BaseNode otherNode)
         {
-            if (otherNode is NumericNode<decimal>)
+            if (otherNode is NumericNode<T>)
             {
-                NumericNode<decimal> rhs = (NumericNode<decimal>)otherNode;
+                NumericNode<T> rhs = (NumericNode<T>)otherNode;
-                return new NumericNode<decimal>(Value * rhs.Value);
+                return new NumericNode<T>(_value.Multiply(rhs._value));
             }
             throw new InvalidOperationException("Attempted Invalid operation");
         }
 
         protected override BaseNode Divide(BaseNode otherNode)
         {
-            if (otherNode is NumericNode<decimal>)
+            if (otherNode is NumericNode<T>)
             {
-                NumericNode<decimal> rhs = (NumericNode<decimal>)otherNode;
+                NumericNode<T> rhs = (NumericNode<T>)otherNode;
-                return new NumericNode<decimal>(Value / rhs.Value);
+                return new NumericNode<T>(_value.Divide(rhs._value));
             }
             throw new InvalidOperationException("Attempted Invalid operation");
         }
 
-        protected override BaseNode Exponentiate(BaseNode otherNode)
-        {
-            if (otherNode is NumericNode<decimal>)
-            {
-                NumericNode<decimal> rhs = (NumericNode<decimal>)otherNode;
-                return new NumericNode<decimal>((decimal)Math.Pow((double)Value, (double)rhs.Value));
-            }
-            throw new InvalidOperationException("Attempted Invalid operation");
-        }
-
-        /// <summary>
-        /// Evaluates the Numeric Node by simply returning the current instance
-        /// </summary>
-        /// <returns></returns>
         public override BaseNode Evaluate()
         {
             return this;
         }
 
-        public override string ToString()
+        internal T GetValue()
         {
-            return Value.ToString();
+            return _value;
         }
 
+        void INumericNode.CopyTo<TDest>(ref TDest destination)
+        {
+            if (typeof(TDest) == typeof(T))
+            {
+                destination = Unsafe.As<T, TDest>(ref Unsafe.AsRef(in _value));
+            }
+            else
+            {
+                throw new InvalidOperationException($"Cannot copy {typeof(T)} to {typeof(TDest)}");
+            }
+        }
+
+        public INumericNode Sin()
+        {
+            if (_value is ITrigonometric<T> trig)
+                return new NumericNode<T>(trig.Sin());
+            throw new NotImplementedException();
+
+        }
+
+        public INumericNode Cos()
+        {
+            if (_value is ITrigonometric<T> trig)
+                return new NumericNode<T>(trig.Cos());
+            throw new NotImplementedException();
+        }
+
+        public INumericNode Tan()
+        {
+            if (_value is ITrigonometric<T> trig)
+                return new NumericNode<T>(trig.Tan());
+            throw new NotImplementedException();
+        }
     }
 }

MathEngine/MathEngine/AST/Nodes/NumericallyOrderableNode.cs

@@ -0,0 +1,55 @@
+using MathEngine.Types.Interfaces;
+
+namespace MathEngine.AST.Nodes
+{
+    internal class NumericallyOrderableNode<T> : NumericNode<T>, INumericallyOrderable where T : struct, INumericallyOrderable<T>
+    {
+        public NumericallyOrderableNode(T value) : base(value)
+        {
+            
+        }
+
+        int INumericallyOrderable.CompareTo(INumericNode other)
+        {
+            if (other is NumericallyOrderableNode<T> rhs)
+            {
+                return this._value.CompareTo(rhs._value);
+            }
+            throw new Exception();
+        }
+
+        bool INumericallyOrderable.GreaterThan(INumericNode other)
+        {
+            throw new NotImplementedException();
+        }
+
+        bool INumericallyOrderable.GreaterThanOrEqual(INumericNode other)
+        {
+            throw new NotImplementedException();
+        }
+
+        bool INumericallyOrderable.LessThan(INumericNode other)
+        {
+            throw new NotImplementedException();
+        }
+
+        bool INumericallyOrderable.LessThanOrEqual(INumericNode other)
+        {
+            throw new NotImplementedException();
+        }
+
+        INumericallyOrderable INumericallyOrderable.Max(INumericNode other)
+        {
+            if (other is NumericallyOrderableNode<T> rhs)
+                return _value.GreaterThanOrEqual(rhs._value) ? this : rhs;
+
+            throw new InvalidOperationException("Cannot compare incompatible numeric node types");
+
+        }
+
+        INumericallyOrderable INumericallyOrderable.Min(INumericNode other)
+        {
+            throw new NotImplementedException();
+        }
+    }
+}

MathEngine/MathEngine/Expression/Expression.cs

@@ -1,5 +1,6 @@
 using MathEngine.AST;
 using MathEngine.AST.Nodes;
+using MathEngine.Types;
 
 namespace MathEngine.Expression
 {

MathEngine/MathEngine/Functions/BuiltIns/BuiltIns.cs

@@ -0,0 +1,105 @@
+using MathEngine.AST.Nodes;
+using MathEngine.Types;
+using MathEngine.Types.Interfaces;
+using System;
+using System.Collections.Generic;
+using static System.Runtime.InteropServices.JavaScript.JSType;
+
+namespace MathEngine.Functions.BuiltIns
+{
+    internal class BuiltIns
+    {
+        // Uniform wrapper type: takes decimal[] and returns result via callback
+        public delegate BaseNode FunctionWrapper(INumericNode[] args);
+
+        // Dictionary storing the wrapped functions
+        private static readonly Dictionary<string, FunctionWrapper> _builtIns = new()
+        {
+            { "sin", Wrap(SinImply)},
+            { "cos", Wrap(CosImply)},
+            { "tan", Wrap(TanImply)},
+            { "max", Wrap(MaxImply)},
+        };
+
+
+
+        // Wrap a Func<decimal[], decimal> into FunctionWrapper
+        private static FunctionWrapper Wrap(Func<INumericNode[], INumericNode> func)
+        {
+            return args => (BaseNode)func(args);
+        }
+
+
+        public static bool IsFunction(string name)
+        {
+            return _builtIns.ContainsKey(name);
+        }
+
+        // Retrieve the wrapper for a function
+        public static FunctionWrapper GetFunction(string name)
+        {
+            if (!_builtIns.TryGetValue(name, out var func))
+                throw new Exception($"Unknown function: {name}");
+            return func;
+        }
+
+
+        private static INumericNode SinImply(INumericNode[] span)
+        {
+            INumericNode arg = span[0];
+            if (arg is ITrigonometricNode trigNode)
+            {
+                return trigNode.Sin();
+            }
+
+            throw new InvalidOperationException("Argument does not support Sin()");
+        }
+
+        private static INumericNode CosImply(INumericNode[] span)
+        {
+            INumericNode arg = span[0];
+            if (arg is ITrigonometricNode trigNode)
+            {
+                return trigNode.Cos();
+            }
+
+            throw new InvalidOperationException("Argument does not support Sin()");
+        }
+
+        private static INumericNode TanImply(INumericNode[] span)
+        {
+            INumericNode arg = span[0];
+            if (arg is ITrigonometricNode trigNode)
+            {
+                return trigNode.Tan();
+            }
+
+            throw new InvalidOperationException("Argument does not support Sin()");
+        }
+        private static INumericNode MaxImply(INumericNode[] span)
+        {
+            var maxNode = span[0] as INumericallyOrderable
+                  ?? throw new InvalidOperationException("Argument not orderable");
+
+            foreach (var node in span.Skip(1))
+            {
+                if (node is INumericallyOrderable orderable)
+                {
+                    maxNode = maxNode.Max(orderable);
+                }
+                else
+                {
+                    throw new InvalidOperationException("All arguments must be orderable");
+                }
+            }
+
+            return maxNode;
+        }
+
+        ////// Allow registering user-defined functions
+        ////public static void RegisterFunction(string name, Func<ReadOnlySpan<INumericNode>, INumericNode> func)
+        ////{
+        ////    _builtIns[name] = Wrap(func);
+        ////}
+    }
+}

MathEngine/MathEngine/Parser/Parser.cs

@@ -1,4 +1,5 @@
-using MathEngine.Tokenizer;
+using MathEngine.Functions.BuiltIns;
+using MathEngine.Tokenizer;
 using System.Security;
 using static MathEngine.Tokenizer.Token;
 
@@ -155,8 +156,10 @@ namespace MathEngine.Parser
             Stack<Token> OperatorStack = new(Expression.Count/2);
             //The final stack to return
             Queue<Token> rpnQueue = new(Expression.Count);
-            //Stack used to hold the number of input params to a function
+
-            //Stack<uint> ArityStack = new Stack<uint>();
+            // Stack that is used to handle nested function argument counts
+            Stack<UInt32> arityStack = new();
+
             Token PreviousToken = Token.None;
             Token CurrentToken;
 
@@ -179,8 +182,33 @@ namespace MathEngine.Parser
                         PopOperatorsToQueue(OperatorStack, rpnQueue, CurrentToken);
                         OperatorStack.Push(CurrentToken);
                         break;
-                    case TokenType.Function:
+                    case TokenType.GenericIdentifier:
-                        OperatorStack.Push(CurrentToken);   
+                        // few things to consider
+                        // 1 Check built-ins
+                        if (i + 1 < Expression.Count && Expression[i + 1].Type == TokenType.LeftParenthesis && BuiltIns.IsFunction(CurrentToken.Value))
+                        {
+                            OperatorStack.Push(CurrentToken with { Type = Token.TokenType.Function });
+                            arityStack.Push(1); // at least one arg must be present
+                            break;
+                        }
+                        // 2 check user defined functions
+                        // TODO: Implement User definable functions
+
+                        // 3 check to see if it is a user defined variable
+                        // TODO: Implement user definable variables
+
+                        // 4 assume it is an implict multiplication
+                        // TODO: Split identifier into letters and insert implicit multiplication
+                        break;
+                    case TokenType.FunctionArgumentSeparator:
+                        if (arityStack.Count == 0)
+                            throw new ParserException("Unexpected function arguement separator");
+                        // Pop operators until the last LeftParenthesis
+                        while (OperatorStack.Count > 0 && OperatorStack.Peek().Type != TokenType.LeftParenthesis)
+                            rpnQueue.Enqueue(OperatorStack.Pop());
+
+                        // increment the argument counter
+                        arityStack.Push(arityStack.Pop() + 1);
                         break;
                     case TokenType.LeftParenthesis:
                         OperatorStack.Push(CurrentToken);
@@ -198,7 +226,7 @@ namespace MathEngine.Parser
 
                         if (OperatorStack.Count > 0 && (OperatorStack.Peek().Type == TokenType.Function))
                         {
-                            rpnQueue.Enqueue(OperatorStack.Pop());
+                            rpnQueue.Enqueue(OperatorStack.Pop() with { Arity = arityStack.Pop()});
                         }
                         break;
                 }

MathEngine/MathEngine/Tokeniser/Token.cs

@@ -17,6 +17,7 @@ namespace MathEngine.Tokenizer
         internal enum TokenType
         {
             None,
+            GenericIdentifier,
 
             Numeric,
             DecimalPoint,
@@ -50,6 +51,7 @@ namespace MathEngine.Tokenizer
         public static readonly Token Exponentiation = new("^", TokenType.Exponentiation);
         public static readonly Token LeftParenthesis = new("(", TokenType.LeftParenthesis);
         public static readonly Token RightParenthesis = new(")", TokenType.RightParenthesis);
+        public static readonly Token FunctionArgumentSeparator = new(",", TokenType.FunctionArgumentSeparator);
 
         /// <summary>
         /// Returns true if the token represents any arithmetic operator.

MathEngine/MathEngine/Tokeniser/Tokeniser.cs

@@ -1,5 +1,6 @@
 
 using MathEngine.Tokenizer;
+using System.ComponentModel.Design;
 using static MathEngine.Tokenizer.Token;
 
 namespace MathEngine.Tokenizer
@@ -24,6 +25,18 @@ namespace MathEngine.Tokenizer
         }
 
 
+        /// <summary>
+        /// Checks if a character represents an ASCII letter
+        /// </summary>
+        /// <param name="c">The character to check</param>
+        /// <returns>True if <paramref name="c"/> represents an ASCII letter, false otherwise</returns>
+
+        private static bool IsAsciiLetter(char c)
+        {
+            return (c >= 'A' && c <= 'Z') || (c >= 'a' && c <= 'z');
+        }
+
+
         /// <summary>
         /// Checks if a character represents an ASCII whitespace character
         /// </summary>
@@ -45,12 +58,22 @@ namespace MathEngine.Tokenizer
             return c == '.';
         }
 
+        /// <summary>
+        /// Checks if a character represents the FunctionArgumentSeparator
+        /// </summary>
+        /// <param name="c">The character to check</param>
+        /// <returns>True if <paramref name="c"/> represents the FunctionArgumentSeparator, false otherwise</returns>
+        private static bool IsFunctionArgumentSeparator(char c)
+        {
+            return c == ',' ? true : false;
+        }
+
         /// <summary>
         /// Parses the <paramref name="expression"/> to read a numeric <typeparamref name="Token"/>
         /// </summary>
         /// <param name="expression">The expression being parsed</param>
         /// <param name="at_decimal_point">Indicates if the character read before calling this method was a decimal point or not</param>
-        /// <param name="current_index">The current index the parser is at</param>
+        /// <param name="currentIndex">The current index the parser is at</param>
         /// <returns>A <typeparamref name="Token"/> representing the numeric value read</returns>
         private static Token ReadNumericToken(ReadOnlySpan<char> expression, bool at_decimal_point, ref Int32 currentIndex)
         {
@@ -75,6 +98,10 @@ namespace MathEngine.Tokenizer
                     ReadOnlySpan<char> errSpan = expression.Slice(currentIndex, errIndex - currentIndex);
                     throw new TokenizerException($"Syntax error: The number {errSpan.ToString()} has multiple decimal point when at most one is allowed.");
                 }
+                else if (IsFunctionArgumentSeparator(tempChar))
+                {
+                    break;
+                }
                 else if (!IsAsciiDigit(tempChar) && tempChar != '.')
                 {
                     break; // end of numeric token
@@ -88,32 +115,70 @@ namespace MathEngine.Tokenizer
             return new Token(numberSpan.ToString(), TokenType.Numeric);
         }
 
-
+        /// <summary>
-        static private Token GetOperatorToken(char curChar)
+        /// Parses the expression to read a GenericIdentifier Token
+        /// </summary>
+        /// <param name="expression">The expression being parsed</param>
+        /// <param name="currentIndex">The current index the parser is at</param>
+        /// <returns>A <typeparamref name="Token"/> representing a GenericIdentifier for further processing</returns>
+        private static Token ReadIdentifierToken(ReadOnlySpan<char> expression, ref Int32 currentIndex)
         {
-            return curChar switch
+            int start = currentIndex;
+            while (currentIndex + 1 < expression.Length && IsAsciiLetter(expression[currentIndex + 1]))
+            {
+                currentIndex++;
+            }
+            ReadOnlySpan<char> identifier = expression.Slice(start, currentIndex - start + 1);
+            return new Token(identifier.ToString(), TokenType.GenericIdentifier, 0);
+        }
+
+
+        /// <summary>
+        /// Returns the correct Operator Token given a ASCII Character
+        /// </summary>
+        /// <param name="c">The character to get the correct Operator Token for</param>
+        /// <returns>A <typeparamref name="Token"/> which is represented by <paramref name="c"/> </returns>
+        /// <exception cref="TokenizerException">Thrown when <paramref name="c"/> is not a recognized character for an Operator Token</exception>
+        static private Token GetOperatorToken(char c)
+        {
+            return c switch
             {
                 '+' => Token.Plus,
                 '-' => Token.Minus,
                 '*' => Token.Multiply,
                 '/' => Token.Divide,
                 '^' => Token.Exponentiation,
-                _ => throw new TokenizerException($"Recieved unknown character '{curChar}' when attempting to parse an operator.")
+                _ => throw new TokenizerException($"Recieved unknown character '{c}' when attempting to parse an operator.")
             };
         }
 
 
-        static private Token GetParenthesisToken(char curChar)
+        /// <summary>
+        /// Returns the correct Parenthesis Token given a ASCII Character
+        /// </summary>
+        /// <param name="c">The character to get the correct Parenthesis Token for</param>
+        /// <returns> The correct Parenthesis <typeparamref name="Token"/> which is represented by <paramref name="c"/></returns>
+        /// <exception cref="TokenizerException">Thrown when <paramref name="c"/> is not a recognized character for a Parenthesis</exception>
+        static private Token GetParenthesisToken(char c)
         {
-            return curChar switch
+            return c switch
             {
                 '(' => Token.LeftParenthesis,
                 ')' => Token.RightParenthesis,
-                _ => throw new TokenizerException($"Recieved unknown character '{curChar}' when attempting to parse a parenthesis."),
+                _ => throw new TokenizerException($"Recieved unknown character '{c}' when attempting to parse a parenthesis."),
             };
         }
 
 
+        /// <summary>
+        /// Returns the Function Argument Separator Token
+        /// </summary>
+        /// <returns>The Function Argument Separator <typeparamref name="Token"/></returns>
+        static private Token GetFunctionArgumentSeparatorToken()
+        {
+            return Token.FunctionArgumentSeparator;
+        }
+
         /// <summary>
         /// Tokenizes a given Mathematical expression given as a string to a list of tokens 
         /// </summary>
@@ -151,6 +216,12 @@ namespace MathEngine.Tokenizer
                     continue;
                 }
 
+                if (IsFunctionArgumentSeparator(curChar))
+                {
+                    Tokenstack.Add(GetFunctionArgumentSeparatorToken());
+                    continue;
+                }
+
                 //Number, two cases two consider,  case 1) number is something like 142.2; case 2 .5 which is clearly 0.5. 
                 //Case 1
                 if (IsAsciiDigit(curChar))
@@ -162,7 +233,16 @@ namespace MathEngine.Tokenizer
                 {
                     Tokenstack.Add(ReadNumericToken(expression, true, ref i));
                     continue;
-                }       
+                }
+
+                // read any iddentifiers
+                // TODO: Consider how to handle imaginary unit (i). Seems like a parser issue, non-issue in symbolic
+                if (IsAsciiLetter(curChar))
+                {
+                    Tokenstack.Add(ReadIdentifierToken(expression, ref i));
+                    continue;
+
+                }
             }
             //return the stack after triming
             Tokenstack.TrimExcess();

MathEngine/MathEngine/Types/DecimalValue.cs

@@ -0,0 +1,373 @@
+using MathEngine.Types.Interfaces;
+using System.Diagnostics;
+
+namespace MathEngine.Types
+{
+    internal struct DecimalValue : INumericallyOrderable<DecimalValue>, ITrigonometric<DecimalValue>
+    {
+
+        private decimal _value;
+
+        private static readonly DecimalValue _zero = new(0);
+
+        /// <summary>
+        /// The mathematical constant Pi
+        /// </summary>
+        private static readonly decimal PI = 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068m;
+        private static readonly decimal TWOPI = 6.283185307179586476925286766559005768394338798750211641949889184615632812572417997256069650684234136m;
+        private static readonly decimal HALFPI = 1.570796326794896619231321691639751442098584699687552910487472296153908203143104499314017412671058534m;
+
+        // TODO: Find a set of coefficients where more values can fit into decimal while
+        // keeping the accuracy just as high
+
+        /// <summary>
+        /// Pre-computed Chebyshev coefficients for a degree 30 Sine approximation
+        /// </summary>
+        private static readonly decimal[] _sin_cfs = {
+            1.107762718434877094787128e-31m,
+            -1.823732266493779103076113e-35m,
+            -9.181673072797976602053211e-29m,
+            3.225262111842922385008455e-34m,
+            6.446939827037235822437697e-26m,
+            -2.576736665059962220360842e-33m,
+            -3.868170134617741732466926e-23m,
+            1.228109964113387911565451e-32m,
+            1.957294106252405728115831e-20m,
+            -3.882226497276181192594589e-32m,
+            -8.220635246622832053855188e-18m,
+            8.555581455036025700953568e-32m,
+            2.811457254345518890772695e-15m,
+            -1.344198394902903252583665e-31m,
+            -7.647163731819816458999534e-13m,
+            1.512690085816523728430496e-31m,
+            1.605904383682161459928373e-10m,
+            -1.207137865111693794326432e-31m,
+            -2.505210838544171877505162e-8m,
+            6.658710916160807720823915e-32m,
+            0.000002755731922398589065255732m,
+            -2.425218754430548182421541e-32m,
+            -0.0001984126984126984126984127m,
+            5.399220187127378949775714e-33m,
+            0.008333333333333333333333333m,
+            -6.429050541691068943420765e-34m,
+            -0.1666666666666666666666667m,
+            3.144305445341164228755108e-35m,
+            1.0m,
+            -2.646821446601517372109605e-37m};
+
+
+        /// <summary>
+        /// Pre-computed Chebyshev coefficients for a degree 30 Cosine approximation
+        /// </summary>
+        private static readonly decimal[] _cos_cfs = {
+           -1.819373578408273903259426e-35m,
+            3.210857395660629127502647e-30m,
+            3.558623874711111508186483e-34m,
+            -2.479023574256452751736573e-27m,
+            -3.120601939944795774454124e-33m,
+            1.611734742261012615961468e-24m,
+            1.61966781283449908063686e-32m,
+            -8.896791299969882965587422e-22m,
+            -5.531921460818070226357292e-32m,
+            4.11031762310156955385159e-19m,
+            1.307520378404943821183129e-31m,
+            -1.561920696858280193101514e-16m,
+            -2.189425802841482649852114e-31m,
+            4.779477332387381286306434e-14m,
+            2.61434386212678154378457e-31m,
+            -1.147074559772972468014089e-11m,
+            -2.210663449693968868683802e-31m,
+            2.087675698786809897901e-9m,
+            1.296861671422669049472492e-31m,
+            -0.0000002755731922398589065255651m,
+            -5.084534256113915594062863e-32m,
+            0.00002480158730158730158730159m,
+            1.251597093832519719838309e-32m,
+            -0.001388888888888888888888889m,
+            -1.738090061385202180342415e-33m,
+            0.04166666666666666666666667m,
+            1.113240260965897824377927e-34m,
+            -0.5m,
+            -2.097353881291299259797553e-36m,
+            1.0m
+        };
+
+
+        public Type UnderlyingType => throw new NotImplementedException();
+
+        public DecimalValue Value => throw new NotImplementedException();
+
+        public DecimalValue(decimal value)
+        {
+            _value = value;
+        }
+
+        public DecimalValue(string value)
+        {
+            _value = decimal.Parse(value);
+        }
+
+
+        /// <summary>
+        /// Performs radian angle range reduction into the range -Pi/2 &lt;= x &lt;= Pi/2
+        /// </summary>
+        /// <param name="x">The radian angle to reduce</param>
+        /// <returns>The radian angle <paramref name="x"/> within the range -Pi/2 &lt;= x &lt;= Pi/2</returns>
+        private static decimal RangeReduction(decimal x)
+        {
+            decimal r = x % TWOPI;
+
+            if (r > PI) r -= TWOPI;
+            else if (r < -PI) r += TWOPI;
+
+            if (r > HALFPI) r = PI - r;
+            else if (r < -HALFPI) r = -PI - r;
+
+            return r;
+        }
+
+        /// <summary>
+        /// Evaluates a Polynommial with <typeparamref name="decimal"/> coefficients at a <typeparamref name="decimal"/> point using Horners method
+        /// </summary>
+        /// <param name="cfs">The coefficients of the polynomial with the leading coefficient first</param>
+        /// <param name="x">The point to evaluate the polynomial at</param>
+        /// <returns>The evaluation of the polynomial given by <paramref name="cfs"/> at the point <paramref name="x"/></returns>
+        private static decimal HornerPolyEval(ReadOnlySpan<decimal> cfs, decimal x)
+        {
+            decimal result = cfs[0]; // Start with the leading coefficient
+            for (int i = 1; i < cfs.Length; i++)
+            {
+                result = result * x + cfs[i];
+            }
+            return result;
+        }
+
+        /// <summary>
+        /// Adds two <typeparamref name="DecimalValues"/>.
+        /// </summary>
+        /// <param name="a">The first <typeparamref name="DecimalValue"/></param>
+        /// <param name="b">The second <typeparamref name="DecimalValue"/</param>
+        /// <returns>The sum of <paramref name="a"/> and <paramref name="b"/></returns>
+        public static DecimalValue operator +(DecimalValue a, DecimalValue b)
+        {
+            return new DecimalValue(a._value + b._value);
+        }
+
+        /// <summary>
+        /// Subtracts two <typeparamref name="DecimalValues"/>.
+        /// </summary>
+        /// <param name="a">The first <typeparamref name="DecimalValue"/></param>
+        /// <param name="b">The second <typeparamref name="DecimalValue"/</param>
+        /// <returns>The difference of <paramref name="a"/> and <paramref name="b"/></returns>
+        public static DecimalValue operator -(DecimalValue a, DecimalValue b)
+        {
+            return new DecimalValue(a._value - b._value);
+        }
+
+        /// <summary>
+        /// Multiplies two <typeparamref name="DecimalValues"/>.
+        /// </summary>
+        /// <param name="a">The first <typeparamref name="DecimalValue"/></param>
+        /// <param name="b">The second <typeparamref name="DecimalValue"/</param>
+        /// <returns>The product of <paramref name="a"/> and <paramref name="b"/></returns>
+        public static DecimalValue operator *(DecimalValue a, DecimalValue b)
+        {
+            return new DecimalValue(a._value * b._value);
+        }
+
+        /// <summary>
+        /// Divides two <typeparamref name="DecimalValues"/>.
+        /// </summary>
+        /// <param name="a">The first <typeparamref name="DecimalValue"/></param>
+        /// <param name="b">The second <typeparamref name="DecimalValue"/</param>
+        /// <returns>The quotient of <paramref name="a"/> and <paramref name="b"/></returns>
+        /// <exception cref="DivideByZeroException">Thrown when <paramref name="b"/> is equal to zero</exception>
+        public static DecimalValue operator /(DecimalValue a, DecimalValue b)
+        {
+            if (b._value == 0)
+            {
+                throw new DivideByZeroException("DIVISION BY ZERO!");
+            }
+            return new DecimalValue(a._value / b._value);
+        }
+
+        /// <summary>
+        /// Compares two <typeparamref name="DecimalValues"/> for equality
+        /// </summary>
+        /// <param name="a">The first <typeparamref name="DecimalValue"/></param>
+        /// <param name="b">The second <typeparamref name="DecimalValue"/</param>
+        /// <returns>True if <paramref name="a"/> and <paramref name="b"/> are equal, False otherwise</returns>
+        public static bool operator ==(DecimalValue a, DecimalValue b)
+        {
+            return a._value == b._value;
+        }
+
+        /// <summary>
+        /// Compares two <typeparamref name="DecimalValue"/> for inequality
+        /// </summary>
+        /// <param name="a">The first <typeparamref name="DecimalValue"/></param>
+        /// <param name="b">The second <typeparamref name="DecimalValue"/</param>
+        /// <returns>True if <paramref name="a"/> and <paramref name="b"/> are not equal, False otherwise</returns>
+        public static bool operator !=(DecimalValue a, DecimalValue b)
+        {
+            return a._value != b._value;
+        }
+
+        /// <summary>
+        /// Compares the current <typeparamref name="DecimalValue"/> instance to another <typeparamref name="DecimalValue"/>
+        /// </summary>
+        /// <param name="other">The <typeparamref name="DecimalValue"/> instance to compare to the current <typeparamref name="DecimalValue"/> instance</param>
+        /// <returns>A signed number indicating the relative values of this instance and value.
+        /// <list type="table">
+        ///   <listheader>
+        ///     <term>Return value</term>
+        ///     <description>Meaning</description>
+        ///   </listheader>
+        ///   <item>
+        ///     <term>Less than zero</term>
+        ///     <description>This instance is less than <paramref name="other"/>.</description>
+        ///   </item>
+        ///   <item>
+        ///     <term>Zero</term>
+        ///     <description>This instance is equal to <paramref name="other"/>.</description>
+        ///   </item>
+        ///   <item>
+        ///     <term>Greater than zero</term>
+        ///     <description>This instance is greater than <paramref name="other"/>.</description>
+        ///   </item>
+        /// </list>
+        /// </returns>
+        public int CompareTo(DecimalValue other)
+        {
+            return _value.CompareTo(other._value);
+        }
+
+        /// <summary>
+        /// Compares if the current <typeparamref name="DecimalValue"/> instance is less than another <typeparamref name="DecimalValues"/> instance.
+        /// </summary>
+        /// <param name="other"><typeparamref name="DecimalValue"/> instance to compare the current <typeparamref name="DecimalValue"/> instanct to.</param>
+        /// <returns>True if the current <typeparamref name="DecimalValue"/> instance is less thatn <paramref name="other"/>, False otherwise</returns>
+        public bool LessThan(DecimalValue other)
+        {
+            return _value < other._value;
+        }
+
+        /// <summary>
+        /// Compares if the current <typeparamref name="DecimalValue"/> instance is less than or equal to another <typeparamref name="DecimalValues"/> instance.
+        /// </summary>
+        /// <param name="other"><typeparamref name="DecimalValue"/> instance to compare the current <typeparamref name="DecimalValue"/> instanct to.</param>
+        /// <returns>True if the current <typeparamref name="DecimalValue"/> instance is less thatn <paramref name="other"/>, False otherwise</returns>
+        public bool LessThanOrEqual(DecimalValue other)
+        {
+            return _value <= other._value;
+        }
+
+        /// <summary>
+        /// Compares if the current <typeparamref name="DecimalValue"/> instance is greater than another <typeparamref name="DecimalValues"/> instance.
+        /// </summary>
+        /// <param name="other"><typeparamref name="DecimalValue"/> instance to compare the current <typeparamref name="DecimalValue"/> instanct to.</param>
+        /// <returns>True if the current <typeparamref name="DecimalValue"/> instance is greater thatn <paramref name="other"/>, False otherwise</returns>
+        public bool GreaterThan(DecimalValue other)
+        {
+            return _value > other._value;
+        }
+
+        /// <summary>
+        /// Compares if the current <typeparamref name="DecimalValue"/> instance is greater than or equal to another <typeparamref name="DecimalValues"/> instance.
+        /// </summary>
+        /// <param name="other"><typeparamref name="DecimalValue"/> instance to compare the current <typeparamref name="DecimalValue"/> instanct to.</param>
+        /// <returns>True if the current <typeparamref name="DecimalValue"/> instance is greater thatn <paramref name="other"/>, False otherwise</returns>
+        public bool GreaterThanOrEqual(DecimalValue other)
+        {
+            return _value >= other._value;
+        }
+
+        /// <summary>
+        /// Adds the current <typeparamref name="DecimalValue"/> instance to 
+        /// </summary>
+        /// <param name="other"></param>
+        /// <returns></returns>
+        public DecimalValue Add(DecimalValue other)
+        {
+            return this + other;
+        }
+
+        public DecimalValue Subtract(DecimalValue other)
+        {
+            return this - other;
+        }
+
+        public DecimalValue Multiply(DecimalValue other)
+        {
+            return this * other;
+        }
+
+        public DecimalValue Divide(DecimalValue other)
+        {
+            return this / other;
+        }
+
+        public DecimalValue Negate()
+        {
+            return new DecimalValue(decimal.Negate(_value));
+        }
+
+        public bool Equal(DecimalValue other)
+        {
+            return _value == other._value;
+        }
+
+        public bool NotEqual(DecimalValue other)
+        {
+            return !Equal(other);
+        }
+
+        public override int GetHashCode()
+        {
+            return _value.GetHashCode();
+        }
+
+        public override bool Equals(object? obj)
+        {
+            if (!(obj is DecimalValue))
+                return false;
+
+            DecimalValue mys = (DecimalValue)obj;
+            return mys._value == _value;
+        }
+
+        public override string ToString()
+        {
+            return "DecimalValue: " + _value.ToString();
+        }
+
+        public DecimalValue Sin()
+        {
+            decimal reduced_x = DecimalValue.RangeReduction(_value);
+            return new DecimalValue(HornerPolyEval(DecimalValue._sin_cfs, reduced_x));
+        }
+
+        public DecimalValue Cos()
+        {
+            decimal reduced_x = DecimalValue.RangeReduction(_value);
+            return new DecimalValue(HornerPolyEval(DecimalValue._cos_cfs, reduced_x));
+        }
+
+        public DecimalValue Tan()
+        {
+            DecimalValue reduced_x = new DecimalValue(DecimalValue.RangeReduction(_value));
+            return reduced_x.Sin() / reduced_x.Cos();
+
+        }
+
+        public DecimalValue Max(DecimalValue other)
+        {
+            return this.GreaterThanOrEqual(other) ? this : other;
+        }
+
+        public DecimalValue Min(DecimalValue other)
+        {
+            return this.LessThanOrEqual(other) ? this : other;
+        }
+    }
+}

MathEngine/MathEngine/Types/Interfaces/INumeric.cs

@@ -0,0 +1,79 @@
+using System.Numerics;
+
+namespace MathEngine.Types.Interfaces
+{
+    /// <summary>
+    /// Base Interface that defines numerical values
+    /// </summary>
+    internal interface INumeric<T> where T : struct, INumeric<T>
+    {
+        T Value { get; }
+
+        /// <summary>
+        /// Adds this numeric value to another
+        /// </summary>
+        /// <param name="other">The numeric value to add</param>
+        /// <returns>
+        /// A new <see cref="INumeric"/> instance representing the sum of this and <paramref name="other"/>
+        /// </returns>
+        T Add(T other);
+
+        /// <summary>
+        /// Subtracts another numeric value from this one
+        /// </summary>
+        /// <param name="other">The numeric value to subtract</param>
+        /// <returns>
+        /// A new <see cref="INumeric"/> instance representing the result of the subtraction
+        /// </returns>
+        T Subtract(T other);
+
+        /// <summary>
+        /// Multiplies this numeric value by another
+        /// </summary>
+        /// <param name="other">The numeric value to multiply by</param>
+        /// <returns>
+        /// A new <see cref="INumeric"/> instance representing the product of this and <paramref name="other"/>
+        /// </returns>
+        T Multiply(T other);
+
+        /// <summary>
+        /// Divides this numeric value by another
+        /// </summary>
+        /// <param name="other">The numeric value to divide by</param>
+        /// <returns>
+        /// A new <see cref="INumeric"/> instance representing the quotient of this and <paramref name="other"/>
+        /// </returns>
+        T Divide(T other);
+
+        /// <summary>
+        /// Returns the negation of this numeric value
+        /// </summary>
+        /// <returns>
+        /// A new <see cref="INumeric"/> instance representing the negated value
+        /// </returns>
+        T Negate();
+
+        /// <summary>
+        /// Determines whether this numeric value is equal to the specified other value.
+        /// </summary>
+        /// <param name="other">The other numeric value to compare.</param>
+        /// <returns>
+        /// <c>true</c> if this value is equal to <paramref name="other"/>; otherwise, <c>false</c>.
+        /// </returns>
+        bool Equal(T other);
+
+        /// <summary>
+        /// Determines whether this numeric value is not equal to the specified other value.
+        /// </summary>
+        /// <param name="other">The other numeric value to compare.</param>
+        /// <returns>
+        /// <c>true</c> if this value is not equal to <paramref name="other"/>; otherwise, <c>false</c>.
+        /// </returns>
+        bool NotEqual(T other);
+
+        /// <summary>
+        /// Returns the <see cref="Type"/> of the <see cref="INumeric"/> instance
+        /// </summary>
+        Type UnderlyingType { get; }
+    }
+}

MathEngine/MathEngine/Types/Interfaces/INumericNode.cs

@@ -0,0 +1,9 @@
+namespace MathEngine.Types.Interfaces
+{
+    internal interface  INumericNode
+    {
+        Type NumericType { get; }
+
+        void CopyTo<T>(ref T destination) where T : struct;
+    }
+}

MathEngine/MathEngine/Types/Interfaces/INumericallyOrderable.cs

@@ -0,0 +1,125 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace MathEngine.Types.Interfaces
+{
+    /// <summary>
+    /// Extension interface that represents a numeric value that supports ordering operations.
+    /// </summary>
+    internal interface INumericallyOrderable<T> : INumeric<T>  where T : struct, INumericallyOrderable<T>
+    {
+        /// <summary>
+        /// Compares this numeric value with another.
+        /// </summary>
+        /// <param name="other">The other comparable numeric value.</param>
+        /// <returns>
+        /// Less than zero if this &lt; other, 0 if equal, greater than zero if this &gt; other.
+        /// </returns>
+        int CompareTo(T other);
+
+
+        /// <summary>
+        /// Determines if this numeric value is less than the specified other value.
+        /// </summary>
+        /// <param name="other">The other numeric value to compare.</param>
+        /// <returns>True if this &lt; other, False otherwise</returns>
+        bool LessThan(T other);
+
+
+        /// <summary>
+        /// Determines whether this value is less than or equal to the specified other value.
+        /// </summary>
+        /// <param name="other">The other numeric value to compare.</param>
+        /// <returns>True if this &lt;= other, False otherwise</returns>
+        bool LessThanOrEqual(T other);
+
+        /// <summary>
+        /// Determines whether this value is greater than the specified other value.
+        /// </summary>
+        /// <param name="other">The other numeric value to compare.</param>
+        /// <returns>True if this &gt; other, False otherwise</returns>
+        bool GreaterThan(T other);
+
+
+        /// <summary>
+        /// Determines whether this value is less than or equal to the specified other value.
+        /// </summary>
+        /// <param name="other">The other numeric value to compare.</param>
+        /// <returns>True if this &gt;= other, False otherwise</returns>
+        bool GreaterThanOrEqual(T other);
+
+        /// <summary>
+        /// Returns the maximum of this node and another node.
+        /// </summary>
+        /// <param name="other">The other numeric node.</param>
+        /// <returns>A new node representing the maximum value.</returns>
+        T Max(T other);
+
+        /// <summary>
+        /// Returns the minimum of this node and another node.
+        /// </summary>
+        /// <param name="other">The other numeric node.</param>
+        /// <returns>A new node representing the minimum value.</returns>
+        T Min(T other);
+    }
+
+    /// <summary>
+    /// AST-level interface representing a numeric node that supports ordering operations.
+    /// </summary>
+    internal interface INumericallyOrderable : INumericNode
+    {
+        /// <summary>
+        /// Compares this node's value with another node.
+        /// </summary>
+        /// <param name="other">The other numeric node to compare.</param>
+        /// <returns>
+        /// Less than zero if this &lt; other, 0 if equal, greater than zero if this &gt; other.
+        /// </returns>
+        int CompareTo(INumericNode other);
+
+        /// <summary>
+        /// Determines if this node's value is less than the other node's value.
+        /// </summary>
+        /// <param name="other">The other numeric node to compare.</param>
+        /// <returns>True if this &lt; other, False otherwise</returns>
+        bool LessThan(INumericNode other);
+
+        /// <summary>
+        /// Determines if this node's value is less than or equal to the other node's value.
+        /// </summary>
+        /// <param name="other">The other numeric node to compare.</param>
+        /// <returns>True if this &lt;= other, False otherwise</returns>
+        bool LessThanOrEqual(INumericNode other);
+
+        /// <summary>
+        /// Determines if this node's value is greater than the other node's value.
+        /// </summary>
+        /// <param name="other">The other numeric node to compare.</param>
+        /// <returns>True if this &gt; other, False otherwise</returns>
+        bool GreaterThan(INumericNode other);
+
+        /// <summary>
+        /// Determines if this node's value is greater than or equal to the other node's value.
+        /// </summary>
+        /// <param name="other">The other numeric node to compare.</param>
+        /// <returns>True if this &gt;= other, False otherwise</returns>
+        bool GreaterThanOrEqual(INumericNode other);
+
+        /// <summary>
+        /// Returns the maximum of this node and another node.
+        /// </summary>
+        /// <param name="other">The other numeric node.</param>
+        /// <returns>A new node representing the maximum value.</returns>
+        INumericallyOrderable Max(INumericNode other);
+
+        /// <summary>
+        /// Returns the minimum of this node and another node.
+        /// </summary>
+        /// <param name="other">The other numeric node.</param>
+        /// <returns>A new node representing the minimum value.</returns>
+        INumericallyOrderable Min(INumericNode other);
+    }
+}

MathEngine/MathEngine/Types/Interfaces/ITrigonometric.cs

@@ -0,0 +1,49 @@
+using System;
+using System.Collections.Generic;
+using System.Linq;
+using System.Text;
+using System.Threading.Tasks;
+
+namespace MathEngine.Types.Interfaces
+{
+    /// <summary>
+    /// Generic Interface that defines support for Trigonometric evaluation
+    /// </summary>
+    /// <typeparam name="T"></typeparam>
+    internal interface ITrigonometric<T> where T : struct, INumeric<T>
+    {
+        /// <summary>
+        /// Returns the sine of this value
+        /// </summary>
+        T Sin();
+
+        /// <summary>
+        /// Returns the cosine of this value
+        /// </summary>
+        T Cos();
+
+        /// <summary>
+        /// Returns the tangent of this value
+        /// </summary>
+        T Tan();
+    }
+
+
+    internal interface ITrigonometricNode: INumericNode
+    {
+        /// <summary>
+        /// Returns the sine of this value
+        /// </summary>
+        INumericNode Sin();
+
+        /// <summary>
+        /// Returns the cosine of this value
+        /// </summary>
+        INumericNode Cos();
+
+        /// <summary>
+        /// Returns the tangent of this value
+        /// </summary>
+        INumericNode Tan();
+    }
+}

MathEngine/MathRunner/Program.cs

@@ -4,11 +4,136 @@ namespace MathRunner
 {
     internal class Program
     {
+
+        static readonly decimal[] SIN_COEFF = {-2.495353579956845068391614e-22m,
+5.577877028144835944149859e-21m,
+-5.907037282921367151874229e-20m,
+3.942306394997070814280735e-19m,
+-1.860603293633641604845514e-18m,
+6.605428876334905572700573e-18m,
+-1.83190469182408107133773e-17m,
+4.06860589192645688022598e-17m,
+-7.358359464590914836426366e-17m,
+1.097329189752797643166105e-16m,
+-1.441182766313743229879074e-16m,
+1.40511452613827650863302e-16m,
+2.689837823485177032543228e-15m,
+8.817888613969593259744191e-17m,
+-7.647698614509161378062996e-13m,
+2.706140963906206196147425e-17m,
+1.605904270053538957745356e-10m,
+3.932205925254663059528159e-18m,
+-2.505210838655286048763183e-8m,
+2.533366734800068550746431e-19m,
+0.000002755731922398543165479237m,
+6.481293982930866844259318e-21m,
+-0.0001984126984126984133938607m,
+5.479548578024028585883317e-23m,
+0.008333333333333333333330317m,
+1.071395263377213212738481e-25m,
+-0.1666666666666666666666667m,
+1.61588801274554481697818e-29m,
+1.0m,
+-3.751019264464499084009736e-34m};
+
+        static readonly decimal[] s2 = {1.107762718434877094787128e-31m,
+-1.823732266493779103076113e-35m,
+-9.181673072797976602053211e-29m,
+3.225262111842922385008455e-34m,
+6.446939827037235822437697e-26m,
+-2.576736665059962220360842e-33m,
+-3.868170134617741732466926e-23m,
+1.228109964113387911565451e-32m,
+1.957294106252405728115831e-20m,
+-3.882226497276181192594589e-32m,
+-8.220635246622832053855188e-18m,
+8.555581455036025700953568e-32m,
+2.811457254345518890772695e-15m,
+-1.344198394902903252583665e-31m,
+-7.647163731819816458999534e-13m,
+1.512690085816523728430496e-31m,
+1.605904383682161459928373e-10m,
+-1.207137865111693794326432e-31m,
+-2.505210838544171877505162e-8m,
+6.658710916160807720823915e-32m,
+0.000002755731922398589065255732m,
+-2.425218754430548182421541e-32m,
+-0.0001984126984126984126984127m,
+5.399220187127378949775714e-33m,
+0.008333333333333333333333333m,
+-6.429050541691068943420765e-34m,
+-0.1666666666666666666666667m,
+3.144305445341164228755108e-35m,
+1.0m,
+-2.646821446601517372109605e-37m};
+
+
+        static readonly decimal[] s3 = { 9.916326246264954201615594e-30m,
+1.54319928865030320494218e-29m,
+-2.674184926393101367468514e-28m,
+-2.692817072692041357738017e-28m,
+6.587612243251582675930865e-26m,
+2.093202438542293840804485e-27m,
+-3.868835054593715102015364e-23m,
+-9.553041629841611461032692e-27m,
+1.95729616572122280801307e-20m,
+2.839955456858767175704141e-26m,
+-8.220635290513026145246676e-18m,
+-5.767530270581598294967383e-26m,
+2.811457254411262970766708e-15m,
+8.161593358681450120770325e-26m,
+-7.647163731820510961992906e-13m,
+-8.059975709448137639642111e-26m,
+1.605904383682161971192382e-10m,
+5.477723421466464288236971e-26m,
+-2.50521083854417188005417e-8m,
+-2.485058233812166433395256e-26m,
+0.00000275573192239858906526391m,
+7.148546378130704537447194e-27m,
+-0.0001984126984126984126984142m,
+-1.202593758014493393872389e-27m,
+0.008333333333333333333333333m,
+1.046429449740262240020432e-28m,
+-0.1666666666666666666666667m,
+-3.934554842474513984886404e-30m,
+1.0m,
+3.934032899734993769175678e-32m,};
+        public static decimal Sin(decimal x)
+        {
+            decimal result = SIN_COEFF[0]; // Start with the leading coefficient
+            for (int i = 1; i < SIN_COEFF.Length; i++)
+            {
+                result = result * x + SIN_COEFF[i];
+            }
+            return result;
+        }
+
+        public static decimal Sin2(decimal x)
+        {
+            decimal result = s2[0]; // Start with the leading coefficient
+            for (int i = 1; i < s2.Length; i++)
+            {
+                result = result * x + s2[i];
+            }
+            return result;
+        }
+
+        public static decimal Sin3(decimal x)
+        {
+            decimal result = s3[0]; // Start with the leading coefficient
+            for (int i = 1; i < s3.Length; i++)
+            {
+                result = result * x + s3[i];
+            }
+            return result;
+        }
+
         static void Main(string[] args)
         {
             Console.WriteLine("Evaluting expression...");
-            Expression exp = new("54+2+1");
+           // Expression exp = new("sin(3.14159265)+1+max(1,2,3,4,5,6)");
-            Console.WriteLine(exp.Evaluate());
+            Expression exp = new("sin(3.14159265)*sin(3.14159265)+cos(3.14159265)*cos(3.14159265) + tan(1.4)");
+            Console.WriteLine(exp.Evaluate().ToString());
             Console.WriteLine("Hello, World!");
         }
     }