/// <inheritdoc/>
public override ExpNode Execute(VarValueNode node)
{
if (node.Character != _variable.Character)
{
return(ConstantRule(node));
}
return(QuickOpers.Multiply(.5, QuickOpers.Pow(node, 2)));
}
/// <inheritdoc/>
public override bool IsConstantBy(VarValueNode variable)
{
foreach (var child in Children)
{
if (!child.IsConstantBy(variable))
{
return(false);
}
}
return(true);
}
/// <summary> /// Executes operation on a <see cref="VarValueNode"/>. /// </summary> /// <param name="node">The <see cref="VarValueNode"/> to execute operation on.</param> /// <returns>The result of the operation on a <see cref="VarValueNode"/>.</returns> public virtual ExpNode Execute(VarValueNode node) => Execute((ValueNode)node);
/// <inheritdoc/>
public override string Print(VarValueNode node)
{
return($"{node.Character}");
}
/// <summary> /// Gets if this <see cref="ExpNode"/> or and its children are constant with all <see cref="VarValueNode"/> constant except <paramref name="variable"/>. /// </summary> /// <remarks> /// An <see cref="ExpNode"/> is constant by <paramref name="variable"/> if neither it or any of its children are <paramref name="variable"/>. /// </remarks> /// <param name="variable">The <see cref="VarValueNode"/> that is not constant.</param> /// <returns>a value indicating whether or not the <see cref="ExpNode"/> is constant.</returns> public abstract bool IsConstantBy(VarValueNode variable);
/// <summary>
/// Initializes a new instance of the <see cref="Differentiator"/> class.
/// </summary>
/// <param name="variable">The variable to take the derivative over.</param>
public Differentiator(VarValueNode variable)
{
_variable = variable;
}
/// <inheritdoc/>
public override ExpNode Execute(VarValueNode node)
{
return(QuickOpers.MakeNumericalNode(node.Character == _variable.Character ? 1 : 0));
}
/// <summary>
/// Initializes a new instance of the <see cref="Integrator"/> class.
/// </summary>
/// <param name="variable">The variable to find the integral for.</param>
public Integrator(VarValueNode variable)
{
_variable = variable;
}
/// <inheritdoc/> public override bool IsConstantBy(VarValueNode variable) => true;
/// <summary> /// Prints a <see cref="VarValueNode"/>. /// </summary> /// <param name="node">The <see cref="VarValueNode"/> to print.</param> /// <returns>The <see cref="VarValueNode"/> printed to a string.</returns> public virtual string Print(VarValueNode node) => Print((ValueNode)node);