Click here to Skip to main content
13,864,533 members
Click here to Skip to main content

Tagged as

Stats

83.8K views
2.4K downloads
92 bookmarked
Posted 19 Sep 2012
Licenced CPOL

Yet Another Math Parser (YAMP)

, 30 Sep 2012
Constructing a fast math parser using Reflection to do numerics like Matlab.
YAMP
YAMPCompare
LLMathParser
MathFormula
MathParser
MathParserNet
Exceptions
MathParserTK
YAMPCompare.pidb
YAMPConsole
YAMPConsole.pidb
Exceptions
Expressions
Functions
ArgumentFunctions
LinearAlgebra
LogicFunctions
Spectroscopy
StandardFunctions
Trigonometric
Interfaces
Numerics
Decompositions
Integration
Interpolations
ODE
Optimization
Others
Solvers
Operators
AssigmentOperators
BinaryOperators
DotOperators
LogicOperators
UnaryOperators
Values
YAMP.csproj.user
YAMP.pidb
YAMP.csproj.user
YAMP.pidb
using System;
using System.IO;
using System.Diagnostics;

namespace YAMPConsole
{
	class MainClass
	{
		delegate double CompareAction(double x);

#if DEBUG

		static int success = 0;
		static int total = 0;

#endif
		
		const string BMK_FILE = "benchmarks.data";
		
		public static void Main (string[] args)
		{
			Console.WriteLine ("Command Line Test Tool of YAMP");

#if DEBUG
			Console.WriteLine("DEBUG MODE");
			Tests();
#elif BENCHMARKS
			Console.WriteLine("BENCHMARK MODE");
			Benchmarks();
#elif CONSOLE
			Console.WriteLine("CONSOLE MODE");
			Console.WriteLine("Enter your own statements now (exit with empty line):");
			var query = string.Empty;

			YAMP.Parser.AddCustomFunction("G", v => new YAMP.ScalarValue((v as YAMP.ScalarValue).Value * Math.PI) );
			YAMP.Parser.AddCustomConstant("R", 2.53);
			
			while(true)
			{
				Console.Write(">> ");
				query = System.Console.ReadLine();

                if (query.Equals("exit"))
                    break;
                else if (query.Replace(" ", string.Empty).Equals(string.Empty))
                    continue;
                else
                {
                    try
                    {
                        var parser = YAMP.Parser.Parse(query);
                        Console.WriteLine(parser.Execute());
						Console.WriteLine(parser);
                    }
                    catch (Exception ex)
                    {
                        Console.WriteLine(ex.Message);
                    }
                }
            }
#else
			Console.WriteLine("RELEASE MODE");
#endif

        }

#if BENCHMARKS

		static void Benchmarks()
		{
			if(!File.Exists(BMK_FILE))
				GenerateBenchmarks();
			
			YAMP.Parser.Load();
			var a = new MathParser.Parser();
			var b = new MathParserTK_NET.MathParserTK();
			var c = new MathParserNet.Parser();
            var d = new MathFunctions.MathParser();
            var e = new MathParserDataStructures.MathObj();
			
			Console.WriteLine("Starting benchmarks ...");	
			Console.WriteLine("----------");

			var lines = new string[0];
			// This is Benchmark #1
            //var lines = File.ReadAllLines(BMK_FILE);
			// This is Benchmark #2
            //var lines = MakeTenK("2-3*5+7/2-8*2");
			// This is Benchmark #3
            //var lines = MakeTenK("2+3");
			// This is Benchmark #4
            //var lines = MakeTenK("2-(3*5)^2+7/(2-8)*2");
			
			// The implementation here... YAMP
			// 5716 ms ; 398 ms ; 131 ms ; 543 ms
			Benchmark("YAMP", lines, query => YAMP.Parser.Parse(query).Execute());
			
			//http://www.codeproject.com/Articles/11164/Math-Parser
            // 372847 ms ; 4795 ms ; 3385 ms ; 14508 ms
			Benchmark("MathParser", lines, query => a.Evaluate(query));
			
			//http://www.codeproject.com/Tips/381509/Math-Parser-NET-Csharp
			// FAILED ; 563 ms ; 136 ms ; 850 ms
			Benchmark("MathParserTK", lines, query => b.Parse(query, false));
			
			//http://www.codeproject.com/Articles/274093/Math-Parser-NET
			// FAILED ; 5122 ms ; 5194 ms ; 5444 ms
			Benchmark("MathParserNet", lines, query => c.Simplify(query));

            //http://www.codeproject.com/Articles/23061/MathParser-Math-Formula-Parser
            // FAILED ; 147 ms ; 54 ms ; FAILED
            Benchmark("MathFormulaParser", lines, query => d.Calculate(query));
			
			//http://www.codeproject.com/Articles/53001/LL-Mathematical-Parser
			// 1611 ms ; 167 ms ; 81 ms ; 177 ms
			Benchmark("LLMathParser", lines, query => e.Evaluate(query, new char[0], new double[0]));
		}

		static string[] MakeTenK(string s)
		{
			var l = new string[10000];

			for(var i = 0; i < l.Length; i++)
				l[i] = s;

			return l;
		}
		
		static void Benchmark(string name, string[] lines, Action<string> parser)
		{
			var sw = new Stopwatch();
			Console.Write(name);
			Console.Write(" : Running benchmark ... ");
			sw.Start();
			
			foreach(var query in lines)
			{			
				parser(query);
			}
			
			sw.Stop();
			Console.WriteLine("{0} ms", sw.ElapsedMilliseconds);
		}
		
		static void GenerateBenchmarks ()
		{
			Console.Write("Generating benchmark file ... ");
			
			var r = new Random();
			var count = 100000;
			var operators = new string [] { "+", "-", "*", "^", "/" };
			int length;
			
			using(var fs = File.CreateText(BMK_FILE))
			{
				for(var i = 0; i < count; i++)
				{
					length = r.Next(2, 14);
					fs.Write(r.Next(-100, 100));
					         
					for(var j = 0; j < length; j++)
					{
						fs.Write(operators[r.Next(0, operators.Length)]);
						fs.Write(r.Next(-100, 100));
					}
					
					if(i < count - 1)
						fs.WriteLine();
				}
			}
			
			Console.WriteLine("done !");
		}

#endif
		
#if DEBUG

		static void Tests()
		{
			Test("2.2", 2.2);
			Test(".2+4-4+.2", 0.4);
			Test("3/3+1*4-5", 0.0);
			Test("7*3+5-13+2", 15.0);
			Test("(7*3+5-13+2)/3", 5.0);
			Test("15/3-5", 0.0);
			Test("(7*3+5-13+2)/3-5", 0.0);
			Test("2^3+3", 11.0);
			Test("3+2^3", 11.0);
			Test("2*3^3+7/2+1-4/2", 56.5);
			Test("2*3^(3-1)+7/2+1-4/2", 20.5);
			Test("(2-1)*3^(3-1)+7/2+1-4/2", 11.5);
			Test("ceil(2.5)", 3.0);
			Test("floor(2.5)", 2.0);
			Test("exp(0)*10-5", 5.0);
			Test("exp(3)*10", 10.0 * Math.Exp(3));
			Test("3*|-2|*5", 30.0);
			Test("cos(pi)", -1.0);
			Test("sin(pi/2)", 1.0);
			Test("cos(0)*exp(0)*sin(3*pi/2)", -1.0);
			Test("e^3-pi^3", Math.Pow(Math.E, 3.0) - Math.Pow(Math.PI, 3.0));
			Test("5!-1000/5+4*20", 0.0);
			Test("2*x-4", 2.0, 0.0);
			Test("2*x-4", -2.0, 2.0, x => 2 * x - 4.0);
			Test("x!", 5.0, 120.0);
			Test("x^2-3*x/4", 0.75, 0.0);
			Test("2^2^2^2", 65536.0);
			Test("2-(3*5)^2+7/(2-8)*2", -225.0-1.0/3.0);
			Test("|(2,3,1)-(1,3,1)|", 1.0);
			Test("|(2^2,2+3,-2,-2)|", 7.0);
			Test("|4*(2i-5)/3i|", 4.0 * Math.Sqrt(29.0) / 3.0);
			Test("|(3,2,1)*(1;2;3)|", 10.0);
			Test("|(1;2;3)|-|(1,2,3)|", 0.0);
            Test("|(2+3i)^2|", 12.999999999999998);
            Test("|1^(i+5)|", 1.0);
            Test("|1^(i+5)|", 1.0);
            Test("|(5+8i)^(i+1)|", 3.4284942595728127);
            Test("|(2+3i)/(1+8i)|", 0.447213595499958);
            Test("|2*(1,2;1,2)|", 0.0);
            Test("|max(1,5,7,9,8+5i)|", Math.Sqrt(89.0));
            Test("|(2,1;3,5)-(2,1;3,5)'|", 4.0);
			Test("(2,1,0)*(5;2;1)", 12.0);
			Test("det((1;2)*(2,1))", 0.0);
			Test("X=(Y=5)+2", 7.0);
			Test("Y", 5.0);
			Test("(1,2,3;4,5,6;7,8,9)[2,3]", 6.0);
            Test("|cos(1+i)|", 1.2934544550420957);
            Test("|arccos(0.83373002513-0.988897705i)|", 1.4142135618741407);
			Test("|(x=(1,2,3;4,5,6;7,8,9))[:,1]|", Math.Sqrt(66.0));
			Test("17>12", 1.0);
			Test("7<-1.5", 0.0);
			Test("|(1,2,3,4,5,6,7) < 5|", 2.0);
			Test("2+i==2-i", 0.0);
			Test("3-i~=4", 1.0);
			Test("abs((1,2,3;4,5,6;7,8,9)[1,:])", Math.Sqrt(14.0));
            Test("(-25)^2", 625.0);
			
			Console.WriteLine("{0} / {1} tests completed successfully ({2} %)", success, total, success * 100 / total);
		}
		
		static bool Test(string query, double xmin, double xmax, CompareAction compare)
		{
			var parser = YAMP.Parser.Parse(query);
			Console.WriteLine("Testing: {0} = ...", query);
			var x = xmin;
			var success = 0;
			var total = 0;
			
			while(x < xmax)
			{
				total++;
				var value = parser.Execute(new { x });
				
				if(value.Equals(compare(x)))
					success++;
				
				x += 0.1;
			}
			
			Console.WriteLine("with x = {2}..{3} ;\n{0}\n-> correct: {1}", success, total, xmin, xmax);
			return Assert(success, total);
		}
		
		static bool Test(string query, double x, double result)
		{
			var parser = YAMP.Parser.Parse(query);
			Console.WriteLine("Testing: {0} = ...", query);
			var value = parser.Execute(new { x });
			Console.WriteLine("with x = {2};\n{0}\n-> correct: {1}", value, result, x);
			return Assert(value, result);
		}
		
		static bool Test(string query, double result)
		{
			var parser = YAMP.Parser.Parse(query);
			Console.WriteLine("Testing: {0} = ...", query);
			var value = parser.Execute();
			Console.WriteLine("{0}\n-> correct: {1}", value, result);
			return Assert(value as YAMP.ScalarValue, result);
		}

		static bool Assert(int total, int result)
		{
			return Assert ((double)total, (double)result);
		}
		
		static bool Assert (YAMP.Value value, double result)
		{
			return Assert ((value as YAMP.ScalarValue).Value, result);
		}

		static bool Assert(double value, double result)
		{
			var isSuccess = true;
			total++;

			if(value == result)
			{
				success++;
				Console.ForegroundColor = ConsoleColor.Green;
				Console.WriteLine("Test successful!");
			}
			else
			{
				isSuccess = false;
				Console.ForegroundColor = ConsoleColor.Red;
				Console.WriteLine("Test failed!");
			}
			
			Console.ResetColor();
			Console.WriteLine("---");
			return isSuccess;
		}

#endif
	}
}

By viewing downloads associated with this article you agree to the Terms of Service and the article's licence.

If a file you wish to view isn't highlighted, and is a text file (not binary), please let us know and we'll add colourisation support for it.

License

This article, along with any associated source code and files, is licensed under The Code Project Open License (CPOL)

Share

About the Author

Florian Rappl
Architect
Germany Germany
Florian lives in Munich, Germany. He started his programming career with Perl. After programming C/C++ for some years he discovered his favorite programming language C#. He did work at Siemens as a programmer until he decided to study Physics.

During his studies he worked as an IT consultant for various companies. After graduating with a PhD in theoretical particle Physics he is working as a senior technical consultant in the field of home automation and IoT.

Florian has been giving lectures in C#, HTML5 with CSS3 and JavaScript, software design, and other topics. He is regularly giving talks at user groups, conferences, and companies. He is actively contributing to open-source projects. Florian is the maintainer of AngleSharp, a completely managed browser engine.

You may also be interested in...

Permalink | Advertise | Privacy | Cookies | Terms of Use | Mobile
Web02 | 2.8.190214.1 | Last Updated 30 Sep 2012
Article Copyright 2012 by Florian Rappl
Everything else Copyright © CodeProject, 1999-2019
Layout: fixed | fluid