public static ITheorem[] BuildTheorems(Context context)
{
ITheorem[] theorems = new ITheorem[2];
theorems[0] = new Analysis.DerivativeTransformation(context.Library.LookupEntity(_entityId),
delegate(Port port, SignalSet manipulatedInputs, Signal variable, bool hasManipulatedInputs)
{
Builder b = context.Builder;
Signal[] outputs = new Signal[manipulatedInputs.Count];
ReadOnlySignalSet squares = b.Square(port.OutputSignals);
Signal one = IntegerValue.ConstantOne(context);
for(int i = 0; i < outputs.Length; i++)
outputs[i] = (one + squares[i]) * manipulatedInputs[i];
return b.Negate(outputs);
});
theorems[1] = new BasicTransformation("CotangentTrigonometricSusbtitute", "Std", "TrigonometricSubstitute", "Std",
delegate(Port port) { return port.Entity.EntityId.Equals("Cotangent", "Std"); },
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] = Std.Cosine(port.Context, transformedInputs[i]) / Std.Sine(port.Context, transformedInputs[i]);
return ret;
});
return theorems;
}
public static ITheorem[] BuildTheorems(Context context)
{
ITheorem[] theorems = new ITheorem[2];
theorems[0] = new Analysis.DerivativeTransformation(context.Library.LookupEntity(_entityId),
delegate(Port port, SignalSet manipulatedInputs, Signal variable, bool hasManipulatedInputs)
{
Builder b = context.Builder;
Signal[] outputs = new Signal[manipulatedInputs.Count];
ReadOnlySignalSet cotangents = Std.Cotangent(context, port.InputSignals);
for(int i = 0; i < outputs.Length; i++)
outputs[i] = b.MultiplySimplified(port.OutputSignals[i], cotangents[i], manipulatedInputs[i]);
return b.Negate(outputs);
});
theorems[1] = new BasicTransformation("CosecantTrigonometricSusbtitute", "Std", "TrigonometricSubstitute", "Std",
delegate(Port port) { return port.Entity.EntityId.Equals("Cosecant", "Std"); },
delegate(Port port) { return ManipulationPlan.DoAlter; },
delegate(Port port, SignalSet transformedInputs, bool hasTransformedInputs)
{
return port.Context.Builder.Invert(Std.Sine(port.Context, transformedInputs));
//Signal[] ret = new Signal[transformedInputs.Count];
//for(int i = 0; i < ret.Length; i++)
// ret[i] = port.Context.Builder.Invert(Std.Sine(port.Context, transformedInputs[i]));
//return ret;
});
return theorems;
}
public static ITheorem[] BuildTheorems(Context context)
{
ITheorem[] theorems = new ITheorem[2];
theorems[0] = new Analysis.DerivativeTransformation(_entityId,
delegate(Port port, SignalSet manipulatedInputs, Signal variable, bool hasManipulatedInputs)
{
Builder b = context.Builder;
ReadOnlySignalSet squares = b.Square(port.OutputSignals);
Signal one = IntegerValue.ConstantOne(context);
SignalSet outputs = new SignalSet();
for(int i = 0; i < manipulatedInputs.Count; i++)
outputs.Add((one + squares[i]) * manipulatedInputs[i]);
return outputs;
});
theorems[1] = new BasicTransformation(_entityId.DerivePostfix("TrigonometricSubstitute"), new MathIdentifier("TrigonometricSubstitute", "Std"),
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] = Std.Sine(port.Context, transformedInputs[i]) / Std.Cosine(port.Context, transformedInputs[i]);
return ret;
});
return theorems;
}
public static ITheorem[] BuildTheorems(Context context)
{
ITheorem[] theorems = new ITheorem[2];
theorems[0] = new Analysis.DerivativeTransformation(_entityId,
delegate(Port port, SignalSet manipulatedInputs, Signal variable, bool hasManipulatedInputs)
{
Builder b = context.Builder;
ReadOnlySignalSet tangents = Std.Tangent(context, port.InputSignals);
SignalSet outputs = new SignalSet();
for(int i = 0; i < manipulatedInputs.Count; i++)
outputs.Add(b.MultiplySimplified(port.OutputSignals[i], tangents[i], manipulatedInputs[i]));
return outputs;
});
theorems[1] = new BasicTransformation(_entityId.DerivePostfix("TrigonometricSubstitute"), new MathIdentifier("TrigonometricSubstitute", "Std"),
delegate() { return new Pattern(new EntityCondition(_entityId)); },
delegate(Port port) { return ManipulationPlan.DoAlter; },
delegate(Port port, SignalSet transformedInputs, bool hasTransformedInputs)
{
return port.Context.Builder.Invert(Std.Cosine(port.Context, transformedInputs));
//Signal[] ret = new Signal[transformedInputs.Length];
//for(int i = 0; i < ret.Length; i++)
// ret[i] = port.Context.Builder.Invert(Std.Cosine(port.Context, transformedInputs[i]));
//return ret;
});
return theorems;
}
