CxTranslator.Net.x64 4.0.101

CxTranslator.Net is fast and compact math parser/evaluator with pre-build feature and user-friendly
interface. Implementing simple data type to cover complex numbers: real and imaginary parts
it uses recursive descent and operator precedence rules to parse and evaluate run-time
defined strings as math expressions.
Imag part in math expression should have postfix i or j. For example: 3.5j

The valid math expressions should consist of:
� Variables should start from letterand and be no more than 32 characters.The math
expression may have unlimited number of variables.
� Arithmetic operations : +, -, *, / , ^.
� Functions - set of predefined functions : abs, acos, acosh, arg, asin, asinh, atan, atanh,
conj, cos, cosh, exp, imag, log, log10, norm, proj, real, sin, sinh, sqrt,
tan, tanh.
Also, users can define their own function to improve performance and extend functionality.

The main characteristics of CxTranslator:
� Extremely fast.
� Friendly interface and error handling mechanism support.
� Safe Multithreading.
� Supports unlimited number of variables.
� Can be extended by user defined functions.

using System;
using System.Numerics;
using EMS.Math.Cx;	//Namespace to use CxTranslator


namespace Cx.Net_Demo
{
    class Program
    {
        //User defined function
        static TCALC pow3(TCALC x)
        {
            //Must convert to Complex first
            Complex cmplx = new Complex(x.real, x.imag);

            //Do calculation
            Complex tmp = cmplx * cmplx * cmplx;

            //Transform result to TCalc data type
            TCALC result;
            result.real = tmp.Real;
            result.imag = tmp.Imaginary;
            return result;
        }



        unsafe static void Main(string[] args)
        {
            string mathExp = "x+2.3i*(1-sin(y/3.14)^2)-z";
            string varList = "x,y,z";
            TCALC[] data = new TCALC[3];
            data[0].real = 1.2; data[0].imag = 2.3;
            data[1].real = -3; data[1].imag = 0.005;
            data[2].real = 0.5; data[2].imag = -0.123;
            TCALC res = default(TCALC);

            //Initialize CxTranslator algorithm before we can use any function.
            Translator cx = new Translator();

            try
            {
                /*********************************************************
                Evaluate math expression for a given point "data"
                Arguments:
		mathExpression – math expression as string to be evaluated.
		varList – coma separated list of named variable. For example” 
		“x,y,z”.
		arguments – array of values for a given varList. First element 
		in the array corresponds to first named variable in varList, 
		second to second...
		Return:
		Result of evaluation.
		*********************************************************/
                res = cx.Evaluate(mathExp, varList, data);

                data[0].real = 2.3; data[0].imag = 1.3;
                data[1].real = -5; data[1].imag = 0.123;
                res = cx.Evaluate("x/y+5-3.1j+(x^2-y^2)", "x,y", data);
                
                /*********************************************************
                Add user defined function to EquTranslator.
		Arguments:
		funcName - name of the function as string. This name must 
			   be used in math expression.
		pFunction - pointer to user defined function.
                *********************************************************/
                cx.AddFunction("p3", pow3);

                //Calculate a set of points for one math expression
                //Build it first
                /*********************************************************
		The function prepares math expression but doesn’t evaluate it.
		It should be used when the same math expression must be evaluated 
                for a large set of points. If number of points is small 
		(not more than 10) function “Evaluate()” may work faster.
		Arguments:
		mathExpression – math expression as string to be parsed.
		varList – coma separated list of named variable. 
		For example” “x,y,z”.
		*********************************************************/
                cx.Build("3.14*p3(x)+sin(y)-sqrt(z+x)", "x,y,z");

                for (int i = 0; i < 100; i++)
                {
                    data[0].real = data[0].real + 1; data[0].imag = i;
                    data[1].real = i / 200; data[1].imag = 0.005 * i;
                    data[2].real = -5; data[2].imag = data[0].real * 0.123;

                    //Do calculation for a given point
                    /*********************************************************
                    The function evaluates math expression prepared by “Build(…)” 
		    for the given values.
                    Arguments:
                    arguments – array of values for a varList in “Build(…)”.
                    Return:
                    Result of evaluation.
                    *********************************************************/
                    res = cx.CalcFor(data);
                }

                //*********************************************************
                // Memory for data must be pinned in order to use 
                // "Compile" and "Run" functions.
                // Also, the code must defined as unsafe
                TCALC* pinData = stackalloc TCALC[3];

                /*********************************************************
		The function prepares math expression but doesn’t evaluate it.
		This method should be used when the same math expression must be 
                evaluated for a large set of points. If number of points is small 
                (not more than 5)  function “Evaluate()” may work faster.
		Arguments:
		mathExpression – math expression as string to be parsed.
		varList – coma separated list of named variable. For example” “x,y,z”.
		arguments – array of values for a varList.
		*********************************************************/
                cx.Compile(mathExp, varList, pinData);

                res = default(TCALC);
                for (int i = 0; i < 10000; i++)
                {
                    pinData[0].real = pinData[0].real + 0.0001; pinData[0].imag = i;
                    pinData[1].real = i / 2000; pinData[1].imag = i / 10000;
                    pinData[2].real = -5; pinData[2].imag = pinData[0].real * 0.0123;

                    //Do calculation for a given point
                    res = cx.Run();
                }

                //*********************************************************
                //Negative test

                /*********************************************************
		Remove user defined function from EquTranslator.
		Arguments:
		funcName - name of the function as a string.
		*********************************************************/
                cx.RemoveFunction("p3");

                res = cx.Evaluate("3.14*p3(x)+sin(y)-sqrt(z+x)", "x,y,z", data);
            }
            catch (TranslatorException ex)
            {
                Console.WriteLine(ex.ErrorCode);
                Console.WriteLine(ex.Message);
                Console.WriteLine(ex.ErrorPosition);
            }

        }
    }
}