public static void RegisterTheorems(ILibrary library)
 {
     Analysis.DerivativeTransformation.Provider.Add(
         new Analysis.DerivativeTransformation(_entityId,
                                               delegate(Port port, SignalSet manipulatedInputs, Signal variable, bool hasManipulatedInputs)
     {
         SignalSet outputs         = new SignalSet();
         ReadOnlySignalSet cosines = StdBuilder.Cosine(port.InputSignals);
         for (int i = 0; i < manipulatedInputs.Count; i++)
         {
             outputs.Add(cosines[i] * manipulatedInputs[i]);
         }
         return(outputs);
     }));
 }
        public static void RegisterTheorems(ILibrary library)
        {
            Analysis.DerivativeTransformation.Provider.Add(
                new Analysis.DerivativeTransformation(_entityId,
                                                      delegate(Port port, SignalSet manipulatedInputs, Signal variable, bool hasManipulatedInputs)
            {
                ReadOnlySignalSet squares = StdBuilder.Square(port.OutputSignals);
                Signal one        = IntegerValue.ConstantOne;
                SignalSet outputs = new SignalSet();
                for (int i = 0; i < manipulatedInputs.Count; i++)
                {
                    outputs.Add((one + squares[i]) * manipulatedInputs[i]);
                }
                return(outputs);
            }));

            MathIdentifier   typeId = new MathIdentifier("TrigonometricSubstitute", "Std");
            ITheoremProvider basicProvider;

            if (!library.TryLookupTheoremType(typeId, out basicProvider))
            {
                basicProvider = Binder.GetInstance <ITransformationTheoremProvider, MathIdentifier>(typeId);
                library.AddTheoremType(basicProvider);
            }
            ((ITransformationTheoremProvider)basicProvider).Add(
                new BasicTransformation(_entityId.DerivePostfix("TrigonometricSubstitute"), typeId,
                                        delegate() { return(new Pattern(new EntityCondition(_entityId))); },
                                        delegate(Port port) { return(ManipulationPlan.DoAlter); },
                                        delegate(Port port, SignalSet transformedInputs, bool hasTransformedInputs)
            {
                Signal[] ret = new Signal[transformedInputs.Count];
                for (int i = 0; i < ret.Length; i++)
                {
                    ret[i] = StdBuilder.Sine(transformedInputs[i]) / StdBuilder.Cosine(transformedInputs[i]);
                }
                return(ret);
            }));
        }