xahaud/modules/beast_core/maths/Expression.h

//------------------------------------------------------------------------------
/*
    This file is part of Beast: https://github.com/vinniefalco/Beast
    Copyright 2013, Vinnie Falco <vinnie.falco@gmail.com>

    Portions of this file are from JUCE.
    Copyright (c) 2013 - Raw Material Software Ltd.
    Please visit http://www.juce.com

    Permission to use, copy, modify, and/or distribute this software for any
    purpose  with  or without fee is hereby granted, provided that the above
    copyright notice and this permission notice appear in all copies.

    THE  SOFTWARE IS PROVIDED "AS IS" AND THE AUTHOR DISCLAIMS ALL WARRANTIES
    WITH  REGARD  TO  THIS  SOFTWARE  INCLUDING  ALL  IMPLIED  WARRANTIES  OF
    MERCHANTABILITY  AND  FITNESS. IN NO EVENT SHALL THE AUTHOR BE LIABLE FOR
    ANY  SPECIAL ,  DIRECT, INDIRECT, OR CONSEQUENTIAL DAMAGES OR ANY DAMAGES
    WHATSOEVER  RESULTING  FROM  LOSS  OF USE, DATA OR PROFITS, WHETHER IN AN
    ACTION  OF  CONTRACT, NEGLIGENCE OR OTHER TORTIOUS ACTION, ARISING OUT OF
    OR IN CONNECTION WITH THE USE OR PERFORMANCE OF THIS SOFTWARE.
*/
//==============================================================================

#ifndef BEAST_EXPRESSION_H_INCLUDED
#define BEAST_EXPRESSION_H_INCLUDED

//==============================================================================
/**
    A class for dynamically evaluating simple numeric expressions.

    This class can parse a simple C-style string expression involving floating point
    numbers, named symbols and functions. The basic arithmetic operations of +, -, *, /
    are supported, as well as parentheses, and any alphanumeric identifiers are
    assumed to be named symbols which will be resolved when the expression is
    evaluated.

    Expressions which use identifiers and functions require a subclass of
    Expression::Scope to be supplied when evaluating them, and this object
    is expected to be able to resolve the symbol names and perform the functions that
    are used.
*/
class BEAST_API Expression
{
public:
    //==============================================================================
    /** Creates a simple expression with a value of 0. */
    Expression();

    /** Destructor. */
    ~Expression();

    /** Creates a simple expression with a specified constant value. */
    explicit Expression (double constant);

    /** Creates a copy of an expression. */
    Expression (const Expression& other);

    /** Copies another expression. */
    Expression& operator= (const Expression& other);

   #if BEAST_COMPILER_SUPPORTS_MOVE_SEMANTICS
    Expression (Expression&& other) noexcept;
    Expression& operator= (Expression&& other) noexcept;
   #endif

    /** Creates an expression by parsing a string.
        If there's a syntax error in the string, this will throw a ParseError exception.
        @throws ParseError
    */
    explicit Expression (const String& stringToParse);

    /** Returns a string version of the expression. */
    String toString() const;

    /** Returns an expression which is an addtion operation of two existing expressions. */
    Expression operator+ (const Expression& other) const;
    /** Returns an expression which is a subtraction operation of two existing expressions. */
    Expression operator- (const Expression& other) const;
    /** Returns an expression which is a multiplication operation of two existing expressions. */
    Expression operator* (const Expression& other) const;
    /** Returns an expression which is a division operation of two existing expressions. */
    Expression operator/ (const Expression& other) const;
    /** Returns an expression which performs a negation operation on an existing expression. */
    Expression operator-() const;

    /** Returns an Expression which is an identifier reference. */
    static Expression symbol (const String& symbol);

    /** Returns an Expression which is a function call. */
    static Expression function (const String& functionName, const Array<Expression>& parameters);

    /** Returns an Expression which parses a string from a character pointer, and updates the pointer
        to indicate where it finished.

        The pointer is incremented so that on return, it indicates the character that follows
        the end of the expression that was parsed.

        If there's a syntax error in the string, this will throw a ParseError exception.
        @throws ParseError
    */
    static Expression parse (String::CharPointerType& stringToParse);

    //==============================================================================
    /** When evaluating an Expression object, this class is used to resolve symbols and
        perform functions that the expression uses.
    */
    class BEAST_API Scope
    {
    public:
        Scope();
        virtual ~Scope();

        /** Returns some kind of globally unique ID that identifies this scope. */
        virtual String getScopeUID() const;

        /** Returns the value of a symbol.
            If the symbol is unknown, this can throw an Expression::EvaluationError exception.
            The member value is set to the part of the symbol that followed the dot, if there is
            one, e.g. for "foo.bar", symbol = "foo" and member = "bar".
            @throws Expression::EvaluationError
        */
        virtual Expression getSymbolValue (const String& symbol) const;

        /** Executes a named function.
            If the function name is unknown, this can throw an Expression::EvaluationError exception.
            @throws Expression::EvaluationError
        */
        virtual double evaluateFunction (const String& functionName,
                                         const double* parameters, int numParameters) const;

        /** Used as a callback by the Scope::visitRelativeScope() method.
            You should never create an instance of this class yourself, it's used by the
            expression evaluation code.
        */
        class Visitor
        {
        public:
            virtual ~Visitor() {}
            virtual void visit (const Scope&) = 0;
        };

        /** Creates a Scope object for a named scope, and then calls a visitor
            to do some kind of processing with this new scope.

            If the name is valid, this method must create a suitable (temporary) Scope
            object to represent it, and must call the Visitor::visit() method with this
            new scope.
        */
        virtual void visitRelativeScope (const String& scopeName, Visitor& visitor) const;
    };

    /** Evaluates this expression, without using a Scope.
        Without a Scope, no symbols can be used, and only basic functions such as sin, cos, tan,
        min, max are available.
        To find out about any errors during evaluation, use the other version of this method which
        takes a String parameter.
    */
    double evaluate() const;

    /** Evaluates this expression, providing a scope that should be able to evaluate any symbols
        or functions that it uses.
        To find out about any errors during evaluation, use the other version of this method which
        takes a String parameter.
    */
    double evaluate (const Scope& scope) const;

    /** Evaluates this expression, providing a scope that should be able to evaluate any symbols
        or functions that it uses.
    */
    double evaluate (const Scope& scope, String& evaluationError) const;

    /** Attempts to return an expression which is a copy of this one, but with a constant adjusted
        to make the expression resolve to a target value.

        E.g. if the expression is "x + 10" and x is 5, then asking for a target value of 8 will return
        the expression "x + 3". Obviously some expressions can't be reversed in this way, in which
        case they might just be adjusted by adding a constant to the original expression.

        @throws Expression::EvaluationError
    */
    Expression adjustedToGiveNewResult (double targetValue, const Scope& scope) const;

    /** Represents a symbol that is used in an Expression. */
    struct Symbol
    {
        Symbol (const String& scopeUID, const String& symbolName);
        bool operator== (const Symbol&) const noexcept;
        bool operator!= (const Symbol&) const noexcept;

        String scopeUID;    /**< The unique ID of the Scope that contains this symbol. */
        String symbolName;  /**< The name of the symbol. */
    };

    /** Returns a copy of this expression in which all instances of a given symbol have been renamed. */
    Expression withRenamedSymbol (const Symbol& oldSymbol, const String& newName, const Scope& scope) const;

    /** Returns true if this expression makes use of the specified symbol.
        If a suitable scope is supplied, the search will dereference and recursively check
        all symbols, so that it can be determined whether this expression relies on the given
        symbol at any level in its evaluation. If the scope parameter is null, this just checks
        whether the expression contains any direct references to the symbol.

        @throws Expression::EvaluationError
    */
    bool referencesSymbol (const Symbol& symbol, const Scope& scope) const;

    /** Returns true if this expression contains any symbols. */
    bool usesAnySymbols() const;

    /** Returns a list of all symbols that may be needed to resolve this expression in the given scope. */
    void findReferencedSymbols (Array<Symbol>& results, const Scope& scope) const;

    //==============================================================================
    /** An exception that can be thrown by Expression::parse(). */
    class ParseError  : public std::exception
    {
    public:
        ParseError (const String& message);

        String description;
    };

    //==============================================================================
    /** Expression type.
        @see Expression::getType()
    */
    enum Type
    {
        constantType,
        functionType,
        operatorType,
        symbolType
    };

    /** Returns the type of this expression. */
    Type getType() const noexcept;

    /** If this expression is a symbol, function or operator, this returns its identifier. */
    String getSymbolOrFunction() const;

    /** Returns the number of inputs to this expression.
        @see getInput
    */
    int getNumInputs() const;

    /** Retrieves one of the inputs to this expression.
        @see getNumInputs
    */
    Expression getInput (int index) const;

private:
    //==============================================================================
    class Term;
    struct Helpers;
    friend class Term;
    friend struct Helpers;
    friend class ScopedPointer<Term>;
    friend class SharedPtr<Term>;
    SharedPtr<Term> term;

    explicit Expression (Term*);
};

#endif   // BEAST_EXPRESSION_H_INCLUDED