/// <inheritdoc/>
public override ExpNode Execute(PowOperNode node)
{
// TODO: Handle variable in exponent
if (node.IsConstantBy(_variable))
{
return(QuickOpers.MakeNumericalNode(0));
}
var coefficient = node.RightChild;
var @base = node.LeftChild;
var exponent = QuickOpers.Add(-1, coefficient);
return(QuickOpers.Multiply(coefficient, QuickOpers.Pow(@base, exponent)));
}
/// <inheritdoc/>
public override ExpNode Execute(PowOperNode node)
{
// TODO: Handle variable in exponent
if (node.IsConstantBy(_variable))
{
return(ConstantRule(node));
}
// Increment exponent, divide by exponent
AdditionOperNode exponent = QuickOpers.Add(1, node.RightChild);
RecipricalOperNode coefficient = QuickOpers.Reciprical(exponent.Clone());
PowOperNode @base = QuickOpers.Pow(node.LeftChild, exponent);
return(QuickOpers.Multiply(coefficient, @base));
}
/// <inheritdoc/>
public override ExpNode Execute(PowOperNode node)
{
node.LeftChild = node.LeftChild.Execute(this);
node.RightChild = node.RightChild.Execute(this);
if (node.LeftChild is NumericalValueNode lnvNode && node.RightChild is NumericalValueNode rnvNode)
{
return(QuickOpers.MakeNumericalNode(Math.Pow(lnvNode.DoubleValue, rnvNode.DoubleValue)));
}
if (node.RightChild is IntValueNode ivNode)
{
if (ivNode.DoubleValue == 0)
{
return(QuickOpers.MakeNumericalNode(1));
}
if (ivNode.DoubleValue == 1)
{
return(node.LeftChild);
}
if (node.LeftChild is ValueNode)
{
// No good expanding
return(node);
}
int n = ivNode.Value;
// Expand n times
MultiplicationOperNode mNode = new();
mNode.AddChild(node.LeftChild);
for (int i = 1; i < n; i++)
{
mNode.AddChild(node.LeftChild.Clone());
}
return(mNode.Execute(this));
}
return(PowerHelpers.Distribute(node));
}
/// <summary>
/// Applies the power distributive property.
/// </summary>
/// <param name="node">The <see cref="PowOperNode"/> to simplify.</param>
/// <returns>The resuling <see cref="ExpNode"/>.</returns>
public static ExpNode Distribute(PowOperNode node)
{
if (node.LeftChild is ParenthesisOperNode parNode)
{
// Child is parenthesis
// Check for multiplication
if (parNode.Child is MultiplicationOperNode mNode)
{
// Grand child is multiplication
// Distribute
for (int i = 0; i < mNode.ChildCount; i++)
{
PowOperNode pow = QuickOpers.Pow(mNode.GetChild(i), node.RightChild.Clone());
mNode.ReplaceChild(pow, i);
}
return(mNode);
}
}
return(node);
}
/// <summary> /// Executes operation on a <see cref="PowOperNode"/>. /// </summary> /// <param name="node">The <see cref="PowOperNode"/> to execute operation on.</param> /// <returns>The result of the operation on a <see cref="PowOperNode"/>.</returns> public virtual ExpNode Execute(PowOperNode node) => Execute((BOperNode)node);
/// <inheritdoc/>
public override string Print(PowOperNode node)
{
return($"{node.LeftChild.Print(this)}^{node.RightChild.Print(this)}");
}
/// <summary> /// Prints a <see cref="PowOperNode"/>. /// </summary> /// <param name="node">The <see cref="PowOperNode"/> to print.</param> /// <returns>The <see cref="PowOperNode"/> printed to a string.</returns> public virtual string Print(PowOperNode node) => Print((BOperNode)node);
