public string TestEquationGeneration(bool useCompiledEquation = false)
{
string result = "";
foreach (float frequency in frequencies)
{
float hz = (float)(frequency);
string equations = acGraph.EquationGeneration(frequency);
result += equations + Environment.NewLine;
if (useCompiledEquation)
{
Compiler compiler = new Compiler();
NonlinearEquationDescription compiledEquation = compiler.CompileEquations(equations);
result += compiledEquation.PrintVariables() + Environment.NewLine;
result += compiledEquation.PrintEquations() + Environment.NewLine;
result += compiledEquation.PrintJacobiMatrix() + Environment.NewLine;
}
result += Environment.NewLine;
}
return(result);
}
static public void TestNonlinearEquationParser()
{
//create file
/*
* x*x+2=e^x*sin(x);
* x(0)=0;
* x(0)=2;
* solution at approx 1.4 and 2.33
*
* 6x^5+-3x^4+7x^3+2x^2+-5x+7.13=0.
* 1 root at -0.963
*/
string equation1 = @"constant a = 2;x*x+a=e()^x*sin(x);x(0)=0;";
string equation2 = @"x*x+2=e()^x*sin(x);x(0)=2;";
string equation3 = @"x*x+2=e()^x*sin(x);x(0)=5;";
string equation4 = @"6*x^5+-3*x^4+7*x^3+2*x^2+-5*x+7.13=0.;x(0)=0;";
Stream StdoutStream = Console.OpenStandardOutput();
StreamWriter Stdout = new StreamWriter(StdoutStream);
Stdout.WriteLine("\tTest nonlinear equation parser");
try
{
Equations.Nonlinear.Compiler compiler = new Equations.Nonlinear.Compiler();
NonlinearEquationDescription compiledEquation = compiler.CompileEquations(equation1);
Stdout.WriteLine("Equation 1: x=0");
Stdout.WriteLine("x*x+2-e^x*sin(x)");
Stdout.WriteLine("Derivative: 2x-e^x*sin(x)-e^x*cos(x)");
Stdout.WriteLine(compiledEquation.PrintVariables());
Stdout.WriteLine(compiledEquation.PrintEquations());
Stdout.WriteLine(compiledEquation.PrintJacobiMatrix());
compiledEquation = compiler.CompileEquations(equation2);
Stdout.WriteLine("Equation 2 x=2");
Stdout.WriteLine(compiledEquation.PrintVariables());
Stdout.WriteLine(compiledEquation.PrintEquations());
Stdout.WriteLine(compiledEquation.PrintJacobiMatrix());
compiledEquation = compiler.CompileEquations(equation3);
Stdout.WriteLine("Equation 3 x=5");
Stdout.WriteLine(compiledEquation.PrintVariables());
Stdout.WriteLine(compiledEquation.PrintEquations());
Stdout.WriteLine(compiledEquation.PrintJacobiMatrix());
compiledEquation = compiler.CompileEquations(equation4);
Stdout.WriteLine("Equation 4 x=0");
Stdout.WriteLine(compiledEquation.PrintVariables());
Stdout.WriteLine(compiledEquation.PrintEquations());
Stdout.WriteLine(compiledEquation.PrintJacobiMatrix());
}
catch (CompilerException exc)
{
Stdout.WriteLine(exc.Message);
var errors = exc.Errors;
foreach (var error in errors)
{
Stdout.WriteLine(error.Message + " Line: " + error.Line + " Position: " + error.Position);
}
}
catch (Exception exc)
{
Stdout.WriteLine(exc.Message);
}
Stdout.Flush();
Stdout.Close();
}