/// <summary>
/// Multiplies two ring elements, if possible.
/// </summary>
/// <param name="Left">Left element.</param>
/// <param name="Right">Right element.</param>
/// <returns>Result, if understood, null otherwise.</returns>
public virtual IRingElement Multiply(IRingElement Left, IRingElement Right)
{
IRingElement Result;
Result = Left.MultiplyRight(Right);
if (Result != null)
{
return(Result);
}
Result = Right.MultiplyLeft(Left);
if (Result != null)
{
return(Result);
}
return(null);
}
/// <summary>
/// Divides the left operand from the right one.
/// </summary>
/// <param name="Left">Left operand.</param>
/// <param name="Right">Right operand.</param>
/// <param name="Node">Node performing the operation.</param>
/// <returns>Result</returns>
public static IElement EvaluateDivision(IElement Left, IElement Right, ScriptNode Node)
{
IRingElement LE = Left as IRingElement;
IRingElement RE = Right as IRingElement;
IElement Result;
IRingElement Temp;
if (LE != null && RE != null)
{
// TODO: Optimize in case of matrices. It's more efficient to employ a solve algorithm than to compute the inverse and the multiply.
Temp = LE.Invert();
if (Temp != null)
{
Result = RE.MultiplyLeft(Temp);
if (Result != null)
{
return(Result);
}
Result = Temp.MultiplyRight(RE);
if (Result != null)
{
return(Result);
}
}
}
if (Left.IsScalar)
{
if (Right.IsScalar)
{
ISet LeftSet = Left.AssociatedSet;
ISet RightSet = Right.AssociatedSet;
if (!LeftSet.Equals(RightSet))
{
if (!Expression.Upgrade(ref Left, ref LeftSet, ref Right, ref RightSet, Node))
{
throw new ScriptRuntimeException("Incompatible operands.", Node);
}
LE = Left as IRingElement;
RE = Right as IRingElement;
if (LE != null && RE != null)
{
Temp = LE.Invert();
if (Temp != null)
{
Result = RE.MultiplyLeft(Temp);
if (Result != null)
{
return(Result);
}
Result = Temp.MultiplyRight(RE);
if (Result != null)
{
return(Result);
}
}
}
}
throw new ScriptRuntimeException("Operands cannot be divided.", Node);
}
else
{
LinkedList <IElement> Elements = new LinkedList <IElement>();
foreach (IElement RightChild in Right.ChildElements)
{
Elements.AddLast(EvaluateDivision(Left, RightChild, Node));
}
return(Right.Encapsulate(Elements, Node));
}
}
else
{
if (Right.IsScalar)
{
LinkedList <IElement> Elements = new LinkedList <IElement>();
foreach (IElement LeftChild in Left.ChildElements)
{
Elements.AddLast(EvaluateDivision(LeftChild, Right, Node));
}
return(Left.Encapsulate(Elements, Node));
}
else
{
ISet Set1 = Left as ISet;
ISet Set2 = Right as ISet;
if (Set1 != null && Set2 != null)
{
return(new SetDifference(Set1, Set2));
}
else
{
ICollection <IElement> LeftChildren = Left.ChildElements;
ICollection <IElement> RightChildren = Right.ChildElements;
if (LeftChildren.Count == RightChildren.Count)
{
LinkedList <IElement> Elements = new LinkedList <IElement>();
IEnumerator <IElement> eLeft = LeftChildren.GetEnumerator();
IEnumerator <IElement> eRight = RightChildren.GetEnumerator();
try
{
while (eLeft.MoveNext() && eRight.MoveNext())
{
Elements.AddLast(EvaluateDivision(eLeft.Current, eRight.Current, Node));
}
}
finally
{
eLeft.Dispose();
eRight.Dispose();
}
return(Left.Encapsulate(Elements, Node));
}
else
{
LinkedList <IElement> LeftResult = new LinkedList <IElement>();
foreach (IElement LeftChild in LeftChildren)
{
LinkedList <IElement> RightResult = new LinkedList <IElement>();
foreach (IElement RightChild in RightChildren)
{
RightResult.AddLast(EvaluateDivision(LeftChild, RightChild, Node));
}
LeftResult.AddLast(Right.Encapsulate(RightResult, Node));
}
return(Left.Encapsulate(LeftResult, Node));
}
}
}
}
}
/// <summary>
/// Multiplies two operands.
/// </summary>
/// <param name="Left">Left operand.</param>
/// <param name="Right">Right operand.</param>
/// <param name="Node">Node performing the operation.</param>
/// <returns>Result</returns>
public static IElement EvaluateMultiplication(IElement Left, IElement Right, ScriptNode Node)
{
IRingElement LE = Left as IRingElement;
IRingElement RE = Right as IRingElement;
IElement Result;
if (LE != null && RE != null)
{
Result = LE.MultiplyRight(RE);
if (Result != null)
{
return(Result);
}
Result = RE.MultiplyLeft(LE);
if (Result != null)
{
return(Result);
}
}
if (Left.IsScalar)
{
if (Right.IsScalar)
{
ISet LeftSet = Left.AssociatedSet;
ISet RightSet = Right.AssociatedSet;
if (!LeftSet.Equals(RightSet))
{
if (!Expression.Upgrade(ref Left, ref LeftSet, ref Right, ref RightSet, Node))
{
throw new ScriptRuntimeException("Incompatible operands.", Node);
}
LE = Left as IRingElement;
RE = Right as IRingElement;
if (LE != null && RE != null)
{
Result = LE.MultiplyRight(RE);
if (Result != null)
{
return(Result);
}
Result = RE.MultiplyLeft(LE);
if (Result != null)
{
return(Result);
}
}
}
throw new ScriptRuntimeException("Operands cannot be multiplied.", Node);
}
else
{
LinkedList <IElement> Elements = new LinkedList <IElement>();
foreach (IElement RightChild in Right.ChildElements)
{
Elements.AddLast(EvaluateMultiplication(Left, RightChild, Node));
}
return(Right.Encapsulate(Elements, Node));
}
}
else
{
if (Right.IsScalar)
{
LinkedList <IElement> Elements = new LinkedList <IElement>();
foreach (IElement LeftChild in Left.ChildElements)
{
Elements.AddLast(EvaluateMultiplication(LeftChild, Right, Node));
}
return(Left.Encapsulate(Elements, Node));
}
else
{
ICollection <IElement> LeftChildren = Left.ChildElements;
ICollection <IElement> RightChildren = Right.ChildElements;
if (LeftChildren.Count == RightChildren.Count)
{
LinkedList <IElement> Elements = new LinkedList <IElement>();
IEnumerator <IElement> eLeft = LeftChildren.GetEnumerator();
IEnumerator <IElement> eRight = RightChildren.GetEnumerator();
try
{
while (eLeft.MoveNext() && eRight.MoveNext())
{
Elements.AddLast(EvaluateMultiplication(eLeft.Current, eRight.Current, Node));
}
}
finally
{
eLeft.Dispose();
eRight.Dispose();
}
return(Left.Encapsulate(Elements, Node));
}
else
{
LinkedList <IElement> LeftResult = new LinkedList <IElement>();
foreach (IElement LeftChild in LeftChildren)
{
LinkedList <IElement> RightResult = new LinkedList <IElement>();
foreach (IElement RightChild in RightChildren)
{
RightResult.AddLast(EvaluateMultiplication(LeftChild, RightChild, Node));
}
LeftResult.AddLast(Right.Encapsulate(RightResult, Node));
}
return(Left.Encapsulate(LeftResult, Node));
}
}
}
}
/// <summary>
/// Divides the left operand from the right one.
/// </summary>
/// <param name="Left">Left operand.</param>
/// <param name="Right">Right operand.</param>
/// <param name="Node">Node performing the operation.</param>
/// <returns>Result</returns>
public static IElement EvaluateDivision(IElement Left, IElement Right, ScriptNode Node)
{
IRingElement RE = Right as IRingElement;
IElement Result;
IRingElement Temp;
if (Left is IRingElement LE && !(RE is null))
{
// TODO: Optimize in case of matrices. It's more efficient to employ a solve algorithm than to compute the inverse and the multiply.
Temp = LE.Invert();
if (!(Temp is null))
{
Result = RE.MultiplyLeft(Temp);
if (!(Result is null))
{
return(Result);
}
Result = Temp.MultiplyRight(RE);
if (!(Result is null))
{
return(Result);
}
}
}
if (Left.IsScalar)
{
if (Right.IsScalar)
{
ISet LeftSet = Left.AssociatedSet;
ISet RightSet = Right.AssociatedSet;
if (!LeftSet.Equals(RightSet))
{
if (!Expression.UpgradeField(ref Left, ref LeftSet, ref Right, ref RightSet, Node))
{
throw new ScriptRuntimeException("Incompatible operands.", Node);
}
LE = Left as IRingElement;
RE = Right as IRingElement;
if (!(LE is null) && !(RE is null))
{
Temp = LE.Invert();
if (!(Temp is null))
{
Result = RE.MultiplyLeft(Temp);
if (!(Result is null))
{
return(Result);
}
Result = Temp.MultiplyRight(RE);
if (!(Result is null))
{
return(Result);
}
}
}
}
throw new ScriptRuntimeException("Operands cannot be divided.", Node);
}
else
{
LinkedList <IElement> Elements = new LinkedList <IElement>();
foreach (IElement RightChild in Right.ChildElements)
{
Elements.AddLast(EvaluateDivision(Left, RightChild, Node));
}
return(Right.Encapsulate(Elements, Node));
}
}
else
{
if (Right.IsScalar)
{
LinkedList <IElement> Elements = new LinkedList <IElement>();
foreach (IElement LeftChild in Left.ChildElements)
{
Elements.AddLast(EvaluateDivision(LeftChild, Right, Node));
}
return(Left.Encapsulate(Elements, Node));
}
else
{
ISet Set2 = Right as ISet;
if (Left is ISet Set1 && !(Set2 is null))
{
return(new SetDifference(Set1, Set2));
}
