/* ============================================================================== This file is part of the JUCE library. Copyright (c) 2017 - ROLI Ltd. JUCE is an open source library subject to commercial or open-source licensing. The code included in this file is provided under the terms of the ISC license http://www.isc.org/downloads/software-support-policy/isc-license. 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. JUCE IS PROVIDED "AS IS" WITHOUT ANY WARRANTY, AND ALL WARRANTIES, WHETHER EXPRESSED OR IMPLIED, INCLUDING MERCHANTABILITY AND FITNESS FOR PURPOSE, ARE DISCLAIMED. ============================================================================== */ namespace juce { //============================================================================== /** 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. @tags{Core} */ class JUCE_API Expression { public: //============================================================================== /** Creates a simple expression with a value of 0. */ Expression(); /** Destructor. */ ~Expression(); /** Creates a copy of an expression. */ Expression (const Expression&); /** Copies another expression. */ Expression& operator= (const Expression&); /** Move constructor */ Expression (Expression&&) noexcept; /** Move assignment operator */ Expression& operator= (Expression&&) noexcept; /** Creates a simple expression with a specified constant value. */ explicit Expression (double constant); /** Attempts to create an expression by parsing a string. Any errors are returned in the parseError argument provided. */ Expression (const String& stringToParse, String& parseError); /** Returns a string version of the expression. */ String toString() const; /** Returns an expression which is an addition operation of two existing expressions. */ Expression operator+ (const Expression&) const; /** Returns an expression which is a subtraction operation of two existing expressions. */ Expression operator- (const Expression&) const; /** Returns an expression which is a multiplication operation of two existing expressions. */ Expression operator* (const Expression&) const; /** Returns an expression which is a division operation of two existing expressions. */ Expression operator/ (const Expression&) 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& 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 parsing, the parseError argument will be set to a description of the problem. */ static Expression parse (String::CharPointerType& stringToParse, String& parseError); //============================================================================== /** When evaluating an Expression object, this class is used to resolve symbols and perform functions that the expression uses. */ class JUCE_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() = default; 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& results, const Scope& scope) const; //============================================================================== /** 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; ReferenceCountedObjectPtr term; explicit Expression (Term*); }; } // namespace juce