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#ifndef ABAKUS_NODE_H
#define ABAKUS_NODE_H
/*
* node.h - part of abakus
* Copyright (C) 2004, 2005 Michael Pyne <[email protected]>
*
* This program is free software; you can redistribute it and/or modify
* it under the terms of the GNU General Public License as published by
* the Free Software Foundation; either version 2 of the License, or
* (at your option) any later version.
*
* This program is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU General Public License
* along with this program; if not, write to the Free Software
* Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
*/
#include <qstring.h>
#include "numerictypes.h"
class Node;
class Function;
template <class T> class SharedPtr;
typedef SharedPtr<Node> NodePtr;
/**
* A class that operates on a Node. Called recursively on a node and all
* of its children.
*/
class NodeFunctor
{
public:
virtual void operator()(const Node *node) = 0;
virtual ~NodeFunctor() { }
};
class Node
{
public:
virtual ~Node() { }
virtual Abakus::number_t value() const = 0;
// Deletes a node only if it isn't a function, since those are
// typically read-only.
virtual void deleteNode(Node *node);
// Calls functor() on all subchildren and this.
virtual void applyMap(NodeFunctor &fn) const = 0;
// Returns an infix representation of the expression.
virtual QString infixString() const = 0;
// Returns the derivative of the node.
virtual Abakus::number_t derivative() const = 0;
};
class BaseFunction : public Node
{
public:
BaseFunction(const char *name);
virtual QString name() const { return m_name; }
virtual const Function *function() const;
private:
QString m_name;
const Function *m_function;
};
class UnaryFunction : public BaseFunction
{
public:
UnaryFunction(const char *name, Node *operand);
virtual ~UnaryFunction();
virtual Node *operand() const { return m_node; }
virtual void setOperand(Node *operand);
virtual void applyMap(NodeFunctor &fn) const;
virtual QString infixString() const;
private:
Node *m_node;
};
// Calculates the approximate derivative of its operand.
class DerivativeFunction : public Node
{
public:
DerivativeFunction(Node *operand, Node *where) :
m_operand(operand), m_where(where) { }
~DerivativeFunction();
virtual Abakus::number_t value() const;
virtual void applyMap(NodeFunctor &fn) const;
// Returns an infix representation of the expression.
virtual QString infixString() const;
virtual Abakus::number_t derivative() const;
private:
Node *m_operand;
Node *m_where;
};
class UserDefinedFunction : public UnaryFunction
{
public:
UserDefinedFunction(const char *name, Node *operand) : UnaryFunction(name, operand) { };
virtual Abakus::number_t value() const { return operand()->value(); }
virtual Abakus::number_t derivative() const { return operand()->derivative(); }
};
class BuiltinFunction : public UnaryFunction
{
public:
BuiltinFunction(const char *name, Node *operand);
virtual Abakus::number_t value() const;
virtual Abakus::number_t derivative() const;
};
class UnaryOperator : public Node
{
public:
typedef enum { Negation } Type;
UnaryOperator(Type type, Node *operand);
virtual ~UnaryOperator();
virtual void applyMap(NodeFunctor &fn) const;
virtual QString infixString() const;
virtual Abakus::number_t value() const;
virtual Abakus::number_t derivative() const;
virtual Type type() const { return m_type; }
virtual Node *operand() const { return m_node; }
private:
Type m_type;
Node *m_node;
};
class BinaryOperator : public Node
{
public:
typedef enum { Addition, Subtraction, Multiplication, Division, Exponentiation } Type;
BinaryOperator(Type type, Node *left, Node *right);
virtual ~BinaryOperator();
virtual void applyMap(NodeFunctor &fn) const;
virtual QString infixString() const;
virtual Abakus::number_t value() const;
virtual Abakus::number_t derivative() const;
virtual Type type() const { return m_type; }
virtual Node *leftNode() const { return m_left; }
virtual Node *rightNode() const { return m_right; }
private:
bool isSimpleNode(Node *node) const;
Type m_type;
Node *m_left, *m_right;
};
class Identifier : public Node
{
public:
Identifier(const char *name);
virtual void applyMap(NodeFunctor &fn) const;
virtual QString infixString() const { return name(); }
virtual Abakus::number_t value() const;
virtual Abakus::number_t derivative() const
{
if(name() == "x")
return "1";
else
return "0";
}
virtual QString name() const { return m_name; }
private:
QString m_name;
};
class NumericValue : public Node
{
public:
NumericValue(const Abakus::number_t value) : m_value(value) { }
virtual void applyMap(NodeFunctor &fn) const { fn(this); }
virtual QString infixString() const;
virtual Abakus::number_t value() const { return m_value; }
virtual Abakus::number_t derivative() const { return "0"; }
private:
Abakus::number_t m_value;
};
#endif
// vim: set et sw=4 ts=8:
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