//JAVA TO C# CONVERTER WARNING: Method 'throws' clauses are not available in C#:
//ORIGINAL LINE: public void annotateFunction(org.boris.expr.ExprFunction paramExprFunction) throws org.boris.expr.ExprException
public virtual void annotateFunction(ExprFunction paramExprFunction)
{
if (!this.exfp.hasFunction(paramExprFunction) && !this.dbfp.hasFunction(paramExprFunction))
{
throw new ExprException("Function " + paramExprFunction + " not supported");
}
}
static bool RunTest(Expression fx, Func <double, double> Result)
{
Variable vx = Variable.New("x");
try
{
Func <double, double> compiled = ExprFunction.New(fx, vx).Compile <Func <double, double> >();
int N = 1000;
for (int i = 0; i < N; ++i)
{
double x = (((double)i / N) * 2 - 1) * Math.PI;
if (Math.Abs((double)fx.Evaluate(vx, x) - Result(x)) > 1e-6)
{
Console.WriteLine("{0} -> {1} != {2}", fx, fx.Evaluate(vx, x), Result(x));
return(false);
}
if (Math.Abs(compiled(x) - Result(x)) > 1e-6)
{
Console.WriteLine("Miscompile: {0} -> {1} != {2}", fx, compiled(x), Result(x));
return(false);
}
}
return(true);
}
catch (Exception Ex)
{
Console.WriteLine(Ex.Message);
return(false);
}
}
//JAVA TO C# CONVERTER WARNING: Method 'throws' clauses are not available in C#:
//ORIGINAL LINE: public org.boris.expr.Expr evaluateFunction(org.boris.expr.ExprFunction paramExprFunction) throws org.boris.expr.ExprException
public virtual Expr evaluateFunction(ExprFunction paramExprFunction)
{
if (this.exfp.hasFunction(paramExprFunction))
{
return(this.exfp.evaluate(this, paramExprFunction));
}
if (this.dbfp.hasFunction(paramExprFunction))
{
return(this.dbfp.evaluate(this, paramExprFunction));
}
throw new ExprException("Function " + paramExprFunction + " not supported");
}
public static void Plot(Expression f, Variable x, Constant x0, Constant x1)
{
ComputerAlgebra.Plotting.Plot p = new ComputerAlgebra.Plotting.Plot()
{
x0 = (double)x0,
x1 = (double)x1,
Title = f.ToString(),
xLabel = x.ToString(),
};
foreach (Expression i in Set.MembersOf(f))
{
p.Series.Add(new ComputerAlgebra.Plotting.Function(ExprFunction.New(i, x))
{
Name = i.ToString()
});
}
}
static void Test(Expression fx, Func <double, double> Result)
{
Variable vx = Variable.New("x");
Func <double, double> compiled = ExprFunction.New(fx, vx).Compile <Func <double, double> >();
int N = 1000;
for (int i = 0; i < N; ++i)
{
double x = (((double)i / N) * 2 - 1) * Math.PI;
if (Math.Abs((double)fx.Evaluate(vx, x) - Result(x)) > 1e-6)
{
throw new Exception(String.Format("{0} -> {1} != {2}", fx, fx.Evaluate(vx, x), Result(x)));
}
if (Math.Abs(compiled(x) - Result(x)) > 1e-6)
{
throw new Exception(String.Format("Miscompile: {0} -> {1} != {2}", fx, compiled(x), Result(x)));
}
}
}
/// <summary>
/// Solve the circuit for transient simulation.
/// </summary>
/// <param name="Analysis">Analysis from the circuit to solve.</param>
/// <param name="TimeStep">Discretization timestep.</param>
/// <param name="Log">Where to send output.</param>
/// <returns>TransientSolution describing the solution of the circuit.</returns>
public static TransientSolution Solve(Analysis Analysis, Expression TimeStep, IEnumerable <Arrow> InitialConditions, ILog Log)
{
Expression h = TimeStep;
Log.WriteLine(MessageType.Info, "Building solution for h={0}", TimeStep.ToString());
// Analyze the circuit to get the MNA system and unknowns.
List <Equal> mna = Analysis.Equations.ToList();
List <Expression> y = Analysis.Unknowns.ToList();
LogExpressions(Log, MessageType.Verbose, "System of " + mna.Count + " equations and " + y.Count + " unknowns = {{ " + String.Join(", ", y) + " }}", mna);
// Evaluate for simulation functions.
// Define T = step size.
Analysis.Add("T", h);
// Define d[t] = delta function.
Analysis.Add(ExprFunction.New("d", Call.If((0 <= t) & (t < h), 1, 0), t));
// Define u[t] = step function.
Analysis.Add(ExprFunction.New("u", Call.If(t >= 0, 1, 0), t));
mna = mna.Resolve(Analysis).OfType <Equal>().ToList();
// Find out what variables have differential relationships.
List <Expression> dy_dt = y.Where(i => mna.Any(j => j.DependsOn(D(i, t)))).Select(i => D(i, t)).ToList();
// Find steady state solution for initial conditions.
List <Arrow> initial = InitialConditions.ToList();
Log.WriteLine(MessageType.Info, "Performing steady state analysis...");
SystemOfEquations dc = new SystemOfEquations(mna
// Derivatives, t, and T are zero in the steady state.
.Evaluate(dy_dt.Select(i => Arrow.New(i, 0)).Append(Arrow.New(t, 0), Arrow.New(T, 0)))
// Use the initial conditions from analysis.
.Evaluate(Analysis.InitialConditions)
// Evaluate variables at t=0.
.OfType <Equal>(), y.Select(j => j.Evaluate(t, 0)));
// Solve partitions independently.
foreach (SystemOfEquations i in dc.Partition())
{
try
{
List <Arrow> part = i.Equations.Select(j => Equal.New(j, 0)).NSolve(i.Unknowns.Select(j => Arrow.New(j, 0)));
initial.AddRange(part);
LogExpressions(Log, MessageType.Verbose, "Initial conditions:", part);
}
catch (Exception)
{
Log.WriteLine(MessageType.Warning, "Failed to find partition initial conditions, simulation may be unstable.");
}
}
// Transient analysis of the system.
Log.WriteLine(MessageType.Info, "Performing transient analysis...");
SystemOfEquations system = new SystemOfEquations(mna, dy_dt.Concat(y));
// Solve the diff eq for dy/dt and integrate the results.
system.RowReduce(dy_dt);
system.BackSubstitute(dy_dt);
IEnumerable <Equal> integrated = system.Solve(dy_dt)
.NDIntegrate(t, h, IntegrationMethod.Trapezoid)
// NDIntegrate finds y[t + h] in terms of y[t], we need y[t] in terms of y[t - h].
.Evaluate(t, t - h).Cast <Arrow>()
.Select(i => Equal.New(i.Left, i.Right)).Buffer();
system.AddRange(integrated);
LogExpressions(Log, MessageType.Verbose, "Integrated solutions:", integrated);
LogExpressions(Log, MessageType.Verbose, "Discretized system:", system.Select(i => Equal.New(i, 0)));
// Solving the system...
List <SolutionSet> solutions = new List <SolutionSet>();
// Partition the system into independent systems of equations.
foreach (SystemOfEquations F in system.Partition())
{
// Find linear solutions for y. Linear systems should be completely solved here.
F.RowReduce();
IEnumerable <Arrow> linear = F.Solve();
if (linear.Any())
{
linear = Factor(linear);
solutions.Add(new LinearSolutions(linear));
LogExpressions(Log, MessageType.Verbose, "Linear solutions:", linear);
}
// If there are any variables left, there are some non-linear equations requiring numerical techniques to solve.
if (F.Unknowns.Any())
{
// The variables of this system are the newton iteration updates.
List <Expression> dy = F.Unknowns.Select(i => NewtonIteration.Delta(i)).ToList();
// Compute JxF*dy + F(y0) == 0.
SystemOfEquations nonlinear = new SystemOfEquations(
F.Select(i => i.Gradient(F.Unknowns).Select(j => new KeyValuePair <Expression, Expression>(NewtonIteration.Delta(j.Key), j.Value))
.Append(new KeyValuePair <Expression, Expression>(1, i))),
dy);
// ly is the subset of y that can be found linearly.
List <Expression> ly = dy.Where(j => !nonlinear.Any(i => i[j].DependsOn(NewtonIteration.DeltaOf(j)))).ToList();
// Find linear solutions for dy.
nonlinear.RowReduce(ly);
IEnumerable <Arrow> solved = nonlinear.Solve(ly);
solved = Factor(solved);
// Initial guess for y[t] = y[t - h].
IEnumerable <Arrow> guess = F.Unknowns.Select(i => Arrow.New(i, i.Evaluate(t, t - h))).ToList();
guess = Factor(guess);
// Newton system equations.
IEnumerable <LinearCombination> equations = nonlinear.Equations;
equations = Factor(equations);
solutions.Add(new NewtonIteration(solved, equations, nonlinear.Unknowns, guess));
LogExpressions(Log, MessageType.Verbose, String.Format("Non-linear Newton's method updates ({0}):", String.Join(", ", nonlinear.Unknowns)), equations.Select(i => Equal.New(i, 0)));
LogExpressions(Log, MessageType.Verbose, "Linear Newton's method updates:", solved);
}
}
Log.WriteLine(MessageType.Info, "System solved, {0} solution sets for {1} unknowns.",
solutions.Count,
solutions.Sum(i => i.Unknowns.Count()));
return(new TransientSolution(
h,
solutions,
initial));
}
/// <summary>
/// Compile an expression to a delegate.
/// </summary>
/// <param name="This"></param>
/// <param name="Module"></param>
/// <param name="Parameters"></param>
/// <returns></returns>
public static Delegate Compile(this Expression This, Module Module, IEnumerable <Expression> Parameters)
{
return(ExprFunction.New(
This.Evaluate(Parameters.Select((i, j) => Arrow.New(i, "_" + j.ToString()))),
Parameters.Select((i, j) => Variable.New("_" + j.ToString()))).Compile(Module));
}
//JAVA TO C# CONVERTER WARNING: Method 'throws' clauses are not available in C#:
//ORIGINAL LINE: public org.boris.expr.Expr evaluateFunction(org.boris.expr.IEvaluationContext param1IEvaluationContext, org.boris.expr.ExprFunction param1ExprFunction) throws org.boris.expr.ExprException
public virtual Expr evaluateFunction(IEvaluationContext param1IEvaluationContext, ExprFunction param1ExprFunction)
{
if (outerInstance.exfp.hasFunction(param1ExprFunction))
{
return(outerInstance.exfp.evaluate(param1IEvaluationContext, param1ExprFunction));
}
if (outerInstance.dbfp.hasFunction(param1ExprFunction))
{
return(outerInstance.dbfp.evaluate(param1IEvaluationContext, param1ExprFunction));
}
throw new ExprException("Function " + param1ExprFunction + " not supported");
}
//JAVA TO C# CONVERTER WARNING: Method 'throws' clauses are not available in C#:
//ORIGINAL LINE: public org.boris.expr.Expr evaluate(org.boris.expr.IEvaluationContext paramIEvaluationContext, org.boris.expr.ExprFunction paramExprFunction) throws org.boris.expr.ExprException
public virtual Expr evaluate(IEvaluationContext paramIEvaluationContext, ExprFunction paramExprFunction)
{
IExprFunction iExprFunction = (IExprFunction)this.functions[paramExprFunction.Name.ToUpper()];
return((iExprFunction != null) ? iExprFunction.evaluate(paramIEvaluationContext, paramExprFunction.Args) : null);
}
public virtual bool hasFunction(ExprFunction paramExprFunction)
{
return(this.functions.ContainsKey(paramExprFunction.Name.ToUpper()));
}
//JAVA TO C# CONVERTER WARNING: Method 'throws' clauses are not available in C#:
//ORIGINAL LINE: public org.boris.expr.Expr evaluateFunction(org.boris.expr.ExprFunction paramExprFunction) throws org.boris.expr.ExprException
public virtual Expr evaluateFunction(ExprFunction paramExprFunction)
{
return(this.provider.evaluateFunction(this, paramExprFunction));
}
//JAVA TO C# CONVERTER WARNING: Method 'throws' clauses are not available in C#:
//ORIGINAL LINE: public void annotateFunction(org.boris.expr.ExprFunction paramExprFunction) throws org.boris.expr.ExprException
public virtual void annotateFunction(ExprFunction paramExprFunction)
{
}
