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mathpad/MathKit/MPExpression.h
Kim Wittenburg 7438fd1f95 Added Lots of Documentation
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Objective-C

//
// MPExpression.h
// MathPad
//
// Created by Kim Wittenburg on 10.08.14.
// Copyright (c) 2014 Kim Wittenburg. All rights reserved.
//
/*!
@header
This file contains the <code>MPExpression</code> class and the
<code>MPExpressionElement</code> protocol.
The <code>MPExpression</code> class is used to represent a mathematical
expression. It is used in the storage layer of the MathKit Expression System. An
instance of the <code>MPExpression</code> class stores all contents related to
an expression and can manipulate them. However it is not able to evaluate the
represented expression by itself.
<h2>Structure of an Expression</h2>
Expressions consist of two types of elements: string elements and function
elements. String elements are represented by the <code>NSString</code> class.
In a valid expression string elements can only contain ASCII valid characters.
(and some other special characters) that make sense in a mathematical context.
Functions are represented by the <code>@link
//apple_ref/occ/cl/MPFunction@/link</code> class. Functions represent everything
beyond simple text (such as powers, parenthesis and roots).
An expression should be pictured as a sequence of symbols that can either be
characters or functions. For the purposes of easier processing of expressions
it is possible to access complete string or function elements. Also there is a
third way of accessing an expression's contents: You can query individual tokens
of an expression. Tokens represent logical units inside an expression. For more
information on tokens see the documentation for <code>@link
//apple_ref/doc/header/MPToken.h MPToken@/link</code>.
<h2>The Expression Tree</h2>
Like expressions functions can likewise have expressions as elements (also
called <i>children</i> in this context). Both expressions and functions are
mutable. Through this organization expression are organized in a tree-like
structure called the <i>expression tree</i>. See <code>@link
//apple_ref/occ/cl/MPFunction@/link</code> for details.
<h2>Terminology</h2>
When working with expressions note that there is a special terminology for an
expression's contents:
<b>Element:</b><br />
An element is either an instance of the <code>NSString</code> or <code> @link
//apple_ref/occ/cl/MPFunction@/link</code> class. String elements can be
multiple characters long. For example the expression <code>4+2²</code> consists
of one string element (<code>"4+2"</code>) and one function element (the square
function). All elements conform to the <code>MPExpressionElement</code>
protocol.
<b>Token:</b><br />
Tokens are logical units within an expression. For example the expression
<code>4+2²</code> consists of 4 tokens: A number token (<code>4</code>), a plus
sign token (<code>+</code>), another number (<code>2</code>) and a power token
(the square function). All tokens conform to the <code>@link
//apple_ref/occ/intf/MPToken@/link</code> protocol.
<b>Symbol:</b><br />
Symbols are the smallest possible part of an expression. A symbol is either a
single character or a single function. For example the expression
<code>4+2²</code> consists of 4 symbols: The characters <code>"4"</code>,
<code>"+"</code> and <code>"2"</code> and the square function.
<b>Item:</b></br />
The term <i>item</i> is used to describe any of the previous. When the term
<i>item</i> is used in the name of a function or method it necessary to specify
what exactly an item is supposed to be. Usually this is done through reference
frames.
<b>Reference Frame:</b><br />
A reference frame is a way to specify what an <i>item</i> is supposed to mean in
a specific context. It can either be an <i>element</i>, a <i>symbol</i> or a
<i>token</i>. For more information about reference frames see
<code>@link MPReferenceFrame@/link</code>.
<b>Children:</b><br />
Children are sub-elements of functions. The term <i>children</i> normally refers
to any kind of elements in the context of the expression tree.
This terminology is consistent within the MathKit Expression System. Because
symbols are the smalles possible unit of measurement elements and tokens both
consist of one or more symbols. Similarly elements consist of one or more
tokens. You can convert between different reference frames using the following
methods:
<ul>
<li><code>@link convertIndex:fromReferenceFrame:toReferenceFrame:@/link</code></li>
<li><code>@link convertIndex:fromReferenceFrame:toReferenceFrame:offset:@/link</code></li>
<li><code>@link convertRange:fromReferenceFrame:toReferenceFrame:@/link</code></li>
<li><code>@link convertRange:fromReferenceFrame:toReferenceFrame:leadingOffset:trailingOffset:@/link</code></li>
</ul>
<h2>Evaluating Expressions</h2>
A <code>MPExpression</code> instance can not evaluate itself. There are however
the <code>@link parse:@/link</code> and
<code>@link parseExpectingVariable:errors:@/link</code> methods. These parse and
thereby convert a <code>MPExpression</code> instance into a <code>@link
//apple_ref/occ/cl/MPParsedExpression@/link</code> instance that can be
evaluated. For more information on evaluation see the <code>@link
//apple_ref/occ/cl/MPParsedExpression@/link</code> and <code>@link
//apple_ref/occ/cl/MPTerm@/link</code> class as well as the previously mentioned
methods.
*/
/*!
@const MPIllegalElementException
@abstract Name for an exception that is raised if an invalid element is
added to an expression.
@discussion This exception may be raised during initialization of an
expression or when the expression is mutated. This exception
contains the invalid element in its <code>userInfo</code>
dictionary. You can query it using the
<code>MPIllegalElementExceptionElementKey</code> key.
*/
FOUNDATION_EXPORT NSString *const MPIllegalElementException;
/*!
@const MPIllegalElementExceptionElementKey
@abstract Predefined key for an invalid element that caused a
<code>MPIllegalElementException</code> to be raised.
@discussion The invalid element can be of any type. Numbers and structs are
wrapped in an <code>NSNumber</code> or <code>NSValue</code>
instance respectively.
*/
FOUNDATION_EXPORT NSString *const MPIllegalElementExceptionElementKey;
/*!
@typedef MPReferenceFrame
@abstract A reference frame specifies the way an <i>item</i> is to be
interpreted.
@constant MPElementReferenceFrame
Specifies that items should be interpreted as elements.
@constant MPSymbolReferenceFrame
Specifies that items should be interpreted as symbols.
@constant MPTokenReferenceFrame
Specifies that items should be interpreted as tokens.
*/
typedef enum {
MPElementReferenceFrame,
MPSymbolReferenceFrame,
MPTokenReferenceFrame
} MPReferenceFrame;
@class MPExpression, MPFunction, MPRangePath, MPParsedExpression;
@protocol MPExpressionElement, MPToken;
/*!
@protocol MPExpressionElement
@abstract This protocol defines the functionality an element in an
expression must have.
*/
@protocol MPExpressionElement <NSObject, NSCopying, NSCoding>
/*!
@method isString
@abstract Returns wether the receiver is a string.
@discussion A string is defined by being an instance of
<code>NSString</code>. If this method returns <code>YES</code>
you can be sure the receiver is an <code>NSString</code>
instance.
@return <code>YES</code> if the receiver is a string, <code>NO</code>
otherwise.
*/
- (BOOL)isString;
/*!
@method isFunction
@abstract Returns wether the receiver is a function.
@discussion A function is defined by being an instance of
<code>@link //apple_ref/occ/cl/MPFunction@/link</code>. If this
method returns <code>YES</code> you can be sure the receiver is a
<code>@link //apple_ref/occ/cl/MPFunction@/link</code> instance.
@return <code>YES</code> if the receiver is a function, <code>NO</code>
otherwise.
*/
- (BOOL)isFunction;
/*!
@method length
@abstract Calculates the length of the receiver.
@discussion The length of a <code>MPExpressionElement</code> is the number of
symbols it consists of. For strings this is the number of
characters in it. Functions have a length of <code>1</code>.
@return The receiver's length.
*/
- (NSUInteger)length;
@end
/*!
@class MPExpression
@abstract A <code>MPExpression</code> instance represents a mathematical
expression.
@discussion A expression consists of string elements and function elements.
Functions and expressions together make up the expression tree.
*/
@interface MPExpression : NSObject <NSCopying, NSCoding>
#pragma mark Creation Methods
/*!
@methodgroup Creation Methods
*/
/*!
@method init
@abstract Initlializes a new expression.
@discussion This method is a convenience initializer to initialize an
expression with <code>0</code> elements.
@return An empty expression.
*/
- (instancetype)init;
/*!
@method initWithElement:
@abstract Initializes a new expression with the specified
<code>element</code>.
@discussion This method is a convenience initializer to initialize an
expression with a single element.
@param element
The element to be added to the expression. The
<code>element</code> will be copied.
@return An expression initialized with <code>element</code>.
*/
- (instancetype)initWithElement:(id<MPExpressionElement>)element;
/*!
@method initWithElements:
@abstract Initializes a new expression with the specified
<code>elements</code>.
@discussion All elements must conform to the <code>@link
MPExpressionElement@/link</code> protocol. If one or more objects
do not conform to that protocol a <code>@link
MPIllegalElementException@/link</code> is raised.
This method is the designated initializer for the
<code>MPExpression</code> class.
@param elements
The elements that should be added to the expression. Every
element must conform to the <code>@link
MPExpressionElement@/link</code> protocol. Each element is copied
and the copy is then added to the expression. The object in the
<code>elements</code> array is not modified.
@return An expression containing <code>elements</code>.
*/
- (instancetype)initWithElements:(NSArray *)elements; /* designated initializer */
#pragma mark Querying Expressions
/*!
@methodgroup Querying Expressions
*/
/*!
@property parent
@abstract The receiver's parent.
@discussion The receiver's parent is the function in the expression tree that
contains the receiver.
@warning You should never set this property manually. If you are
implementing a custom subclass of <code>@link
//apple_ref/occ/cl/MPFunction@/link</code> use the <code>@link
//apple_ref/occ/macro/MPFunctionAccessorImplementation@/link</code>
macro.
@return The parent of the receiver or <code>nil</code> if the receiver is
the root expression.
*/
@property (nonatomic, weak) MPFunction *parent;
/*!
@method rootExpression
@abstract Returns the root expression from the receiver's expression tree.
@discussion The root expression is the ultimate parent of all expressions and
functions in the expression tree. A root expression does not have
a parent.
@return The root expression from the receiver's expression tree.
*/
- (MPExpression *)rootExpression;
/*!
@method indexPath
@abstract Returns the index path of the receiver in the expression tree.
@discussion The index path contains the indexes (starting from the root
expression of the receiver's expression tree) that lead to the
receiver. The indexes are expressed in the element reference
frame.
@return The index path of the receiver in the expression tree.
*/
- (NSIndexPath *)indexPath;
/*!
@method countItemsInReferenceFrame:
@abstract Returns the number of items in the receiver in the specified
<code>referenceFrame</code>.
@param referenceFrame
The reference frame that should be used to count the items.
@return The current number of items in the receiver counted in the
specified <code>referenceFrame</code>.
*/
- (NSUInteger)countItemsInReferenceFrame:(MPReferenceFrame)referenceFrame;
/*!
@method itemAtIndex:referenceFrame:
@abstract Returns the item at <code>anIndex</code>.
@discussion The item is not copied before it is returned. So be aware that
if you mutate a <code>@link
//apple_ref/occ/cl/MPFunction@/link</code> instance returned from
this function the receiver's expression tree will be updated to
reflect the change.
@param anIndex
The index of the item. If the index is greater than the number of
items for the respective reference frame a
<code>NSRangeException</code> is raised.
@param referenceFrame
The reference frame that should be used to identify the item at
<code>anIndex</code>.
@return The item at <code>anIndex</code>.
*/
- (id)itemAtIndex:(NSUInteger)anIndex
referenceFrame:(MPReferenceFrame)referenceFrame;
/*!
@method elementAtIndex:referenceFrame:
@abstract Returns the element at the specified index.
@discussion An element is either a string or a function. If
<code>anIndex</code> identifies a position inside a string
element the complete element is returned.
This method always returns elements. To query items in the
specified reference frame use
<code>@link itemAtIndex:referenceFrame:@/link</code>.
@param anIndex
The index of the element.
@param referenceFrame
The reference frame <code>anIndex</code> is specified in.
@return The element at <code>anIndex</code>.
*/
- (id<MPExpressionElement>)elementAtIndex:(NSUInteger)anIndex
referenceFrame:(MPReferenceFrame)referenceFrame;
/*!
@method indexOfElement:
@abstract Returns the index of <code>element</code> or
<code>NSNotFound</code> if it was not found.
@param element
The element to find.
@return The index of <code>element</code> expressed in the element
reference frame.
*/
- (NSUInteger)indexOfElement:(id<MPExpressionElement>)element;
/*!
@method itemsInRange:referenceFrame:
@abstract Returns an array of the items that are located in the specified
range.
@discussion The objects in the returned array are copied before they are
returned.
If the <code>range</code> exceeds the receiver's bounds a
<code>NSRangeException</code> is raised.
@param aRange
The requested range within the receiver's bounds.
@param referenceFrame
The referenceFrame <code>aRange</code> is expressed in.
@return An array containing all elements in the specified range. The type
of the objects depends on the specified
<code>referenceFrame</code>.
*/
- (NSArray *)itemsInRange:(NSRange)aRange
referenceFrame:(MPReferenceFrame)referenceFrame;
/*!
@method allItemsInReferenceFrame:
@abstract Returns an array of all items in the receiver for the specified
reference frame.
@discussion The elements in the returned array are not copied before they are
returned so be aware that mutations to any of the returned
objects will update the receiver's expression tree to reflect the
change.
@return An array of all items in the receiver.
*/
- (NSArray *)allItemsInReferenceFrame:(MPReferenceFrame)referenceFrame;
/*!
@method elementAtIndexPath:
@abstract Returns the element at the specified index path.
@discussion This method finds the elements at the respective indexes starting
at the root expression from the receiver's expression tree.
The returned object can be a <code>NSString</code>, a
<code>@link //apple_ref/occ/cl/MPFunction@/link</code> or a
<code>MPExpression</code> instance depending on the specified
<code>indexPath</code>. If any of the indexes exceed the bounds
of the respective receiver a <code>NSRangeException</code> is
raised.
If the index path does not contain any indexes the receiver
itself is returned.
@param indexPath
The index path the required object is located at. The indexes are
expressed in the element reference frame.
@return The element located at <code>indexPath</code>. The element is not
copied before it is returned. Be aware of the fact that any
mutations made to the returned object will update the receiver's
expression tree to reflect the change.
*/
- (id)elementAtIndexPath:(NSIndexPath *)indexPath;
/*!
@method convertIndex:fromReferenceFrame:toReferenceFrame:
@abstract Converts an index from one reference frame to another.
@discussion This method ignores any offsets into items the conversion between
reference frames can cause. If you are interested in the offset
use <code>@link
convertIndex:fromReferenceFrame:toReferenceFrame:offset:@/link</code>
instead.
@param anIndex
The index to be converted.
@param fromReferenceFrame
The reference frame <code>anIndex</code> is specified in.
@param toReferenceFrame
The reference frame <code>anIndex</code> should be converted to.
@return An index specified in the <code>toReferenceFrame</code>. If
<code>anIndex</code> identifies a location inside an item in the
<code>toReferenceFrame</code> the index of the corresponding item
is returned.
*/
- (NSUInteger)convertIndex:(NSUInteger)anIndex
fromReferenceFrame:(MPReferenceFrame)fromReferenceFrame
toReferenceFrame:(MPReferenceFrame)toReferenceFrame;
/*!
@method convertIndex:fromReferenceFrame:toReferenceFrame:offset:
@abstract Converts an index from one reference frame to another.
@discussion If <code>anIndex</code> identifies a location inside an item in
the <code>toReferenceFrame</code> the index of the corresponding
item is returned. In that case the <code>offset</code> parameter
will be set to the number of symbols the offset goes into the
item at the returned index.
@param anIndex
The index to be converted.
@param fromReferenceFrame
The reference frame <code>anIndex</code> is specified in.
@param toReferenceFrame
The reference frame <code>anIndex</code> should be converted to.
@param offset
This output parameter will be set to the number of symbols that
are between the location identified by <code>anIndex</code> and
the index that is actually returned. The offset is specified in
the symbol reference frame. If you are not interested in the
offset pass <code>NULL</code>.
@return An index specified in the <code>toReferenceFrame</code>
corresponding to <code>anIndex</code>.
*/
- (NSUInteger)convertIndex:(NSUInteger)anIndex
fromReferenceFrame:(MPReferenceFrame)fromReferenceFrame
toReferenceFrame:(MPReferenceFrame)toReferenceFrame
offset:(NSUInteger *)offset;
/*!
@method convertRange:fromReferenceFrame:toReferenceFrame:
@abstract Converts a range from one reference frame to another.
@discussion This method just converts the location and target of the range
separately using
<code>@link
convertIndex:fromReferenceFrame:toReferenceFrame:@/link</code>.
It ensures that the returned range definitely includes all items
that were specified by <code>aRange</code>.
The possibility that the returned range may
include more symbols than <code>aRange</code> is ignored. If you
need that information use
<code>@link
convertRange:fromReferenceFrame:toReferenceFrame:leadingOffset:trailingOffset:@/link</code>.
@param aRange
The range to be converted.
@param fromReferenceFrame
The reference frame <code>aRange</code> is specified in.
@param toReferenceFrame
The reference frame <code>aRange</code> is to be converted to.
@return A range in the <code>toReferenceFrame</code> that includes the
the items identified by <code>aRange</code>.
*/
- (NSRange)convertRange:(NSRange)aRange
fromReferenceFrame:(MPReferenceFrame)fromReferenceFrame
toReferenceFrame:(MPReferenceFrame)toReferenceFrame;
/*!
@method convertRange:fromReferenceFrame:toReferenceFrame:leadingOffset:trailingOffset:
@abstract Converts a range from one reference frame to another.
@discussion This method just converts the location and target of the range
separately using
<code>@link
convertIndex:fromReferenceFrame:toReferenceFrame:@/link</code>.
It ensures that the returned range definitely includes all items
that were specified by <code>aRange</code>.
@param aRange
The range to be converted.
@param fromReferenceFrame
The reference frame <code>aRange</code> is specified in.
@param toReferenceFrame
The reference frame <code>aRange</code> is to be converted to.
@param leadingOffset
The offset of the location of the returned range in respect to
the location of <code>aRange</code>.
@param trailingOffset
The offset of the last index in the range in respect to the last
index of <code>aRange</code>.
@return A range in the <code>toReferenceFrame</code> that includes the
the items specified by <code>aRange</code>.
*/
- (NSRange)convertRange:(NSRange)aRange
fromReferenceFrame:(MPReferenceFrame)fromReferenceFrame
toReferenceFrame:(MPReferenceFrame)toReferenceFrame
leadingOffset:(NSUInteger *)leadingOffset
trailingOffset:(NSUInteger *)trailingOffset;
#pragma mark Mutating Expressions
/*!
@methodgroup Mutating Expressions
*/
/*!
@method replaceItemsInRange:referenceFrame:withElements:
@abstract Replaces the elements in the specified range with the contents of
the <code>elements</code> array.
@discussion This is the most primitive mutation method of
<code>MPExpression</code>. Every other mutating method must
ultimately call this method.
After the receiver has been mutated the integrety of the receiver
is restored. That basically means that subsequent strings are
joined and empty strings removed. After restoring integrity the
receiver sends a
<code>@link
changedElementsInRangePath:replacementLength:@/link</code> to
itself. For more information see the documentation on that
method.
@param aRange
The range of symbols (including functions) to replace.
@param referenceFrame
The reference frame <code>aRange</code> is specified in.
@param elements
The elements that should replace the symbols specified by
<code>range</code>.
*/
- (void)replaceItemsInRange:(NSRange)aRange
referenceFrame:(MPReferenceFrame)referenceFrame
withElements:(NSArray *)elements;
/*!
@method changedElementsInRangePath:replacementLength:
@abstract This is a notification message that is sent from the receiver to
itself after it has been mutated.
@discussion This method does nothing more than notify it's parent that it has
been mutated at the respective range path. If you want to get
notified about changes in an expression you should override this
method instead of <code>@link
replaceItemsInRange:referenceFrame:withElements:@/link</code>
because this method gives you information about the elements that
changed during the mutation.
@param rangePath
The range path at which the receiver was changed starting at the
receiver. The range addressed by <code>rangePath</code> is
expressed in the element reference frame.
@param replacementLength
The number of elements replacing the elements specified by
<code>rangePath</code> (also specified in the element reference
frame).
*/
- (void)changedElementsInRangePath:(MPRangePath *)rangePath
replacementLength:(NSUInteger)replacementLength;
/*!
@method subexpressionFromIndex:referenceFrame:
@abstract Creates an expression from the items in the receiver from the
specified index to the end.
@discussion The items from the receiver are copied. Mutations to the returned
expression will not change the receiver's expression tree.
@param from
The index from which to start constructing the subexpression.
@param referenceFrame
The reference frame <code>from</code> is specified in.
@return An expression containing the items from the specified index to
the end of the receiver.
*/
- (MPExpression *)subexpressionFromIndex:(NSUInteger)from
referenceFrame:(MPReferenceFrame)referenceFrame;
/*!
@method subexpressionToIndex:referenceFrame:
@abstract Creates an expression from the items in the receiver from the
first to the specified item.
@discussion The items from the receiver are copied. Mutations to the returned
expression will not change the receiver's expression tree.
@param to
The index of the first element not to include in the newly
constructed subexpression.
@param referenceFrame
The reference frame <code>to</code> is specified in.
@return An expression containing the items from the first item to the one
at the specified index.
*/
- (MPExpression *)subexpressionToIndex:(NSUInteger)to
referenceFrame:(MPReferenceFrame)referenceFrame;
/*!
@method subexpressionWithRange:referenceFrame:
@abstract Creates an expression from the items in the receiver within the
specified range.
@discussion The items from the receiver are copied. Mutations to the returned
expression will not change the receiver's expression tree.
@param aRange
Specifies the items to be included in the newly created
subexpression.
@param referenceFrame
The reference frame <code>aRange</code> is specified in.
@return An expression containing the items in <code>aRange</code>.
*/
- (MPExpression *)subexpressionWithRange:(NSRange)aRange
referenceFrame:(MPReferenceFrame)referenceFrame;
#pragma mark Evaluating Expressions
/*!
@methodgroup Evaluating Expressions
*/
/*!
@method parse:
@abstract Parses the receiver.
@discussion This is a convenience method that calls <code>@link
parseExpectingVariable:errors:@/link</code> with <code>NO</code>
as the first argument.
@param errors
If the receiver (or any of its elements) contain syntax errors
this parameter is set to an appropriate value. All items in the
array are <code>NSError</code> instances. This parameter is never
set to an empty array. Pass <code>NULL</code> if you are not
interested in any errors that might occur.
@return A <code>@link //apple_ref/occ/cl/MPParsedExpression@/link</code>
instance that represents the receiver and can be evaluated or
<code>nil</code> if an error occurs. In that case the
<code>errors</code> parameter is set to an array containing at
least one <code>NSError</code> instance.
*/
- (MPParsedExpression *)parse:(NSArray *__autoreleasing *)errors;
/*!
@method parseExpectingVariable:errors:
@abstract Parses the receiver.
@param flag
If <code>YES</code> the receiver must (exept for whitespaces)
begin with a single letter followed by an equals sign. If it
doesn't the expression is considered invalid. Specify
<code>NO</code> If the expression should be evaluatable by itself.
@param errors
If the receiver (or any of its elements) contain syntax errors
this parameter is set to an appropriate value. All items in the
array are <code>NSError</code> instances. This parameter is never
set to an empty array. Pass <code>NULL</code> if you are not
interested in any errors that might occur.
@return A <code>@link //apple_ref/occ/cl/MPParsedExpression@/link</code>
instance that represents the receiver and can be evaluated or
<code>nil</code> if an error occurs. In that case the
<code>errors</code> parameter is set to an array containing at
least one <code>NSError</code> instance.
*/
- (MPParsedExpression *)parseExpectingVariable:(BOOL)flag
errors:(NSArray *__autoreleasing *)errors;
@end
/*!
@category MPExpression (MPExpressionConvenience)
@abstract This category defines convenience methods for the
<code>MPExpression</code> class.
@discussion All convenience methods are completely defined in terms of other
methods of the <code>MPExpression</code> class.
*/
@interface MPExpression (MPExpressionConvenience)
#pragma mark Querying Expressions
/*!
@methodgroup Querying Expressions
*/
/*!
@method countElements
@abstract Returns the number of elements in the receiver.
@return The number of elements in the receiver expressed in the element
reference frame.
*/
- (NSUInteger)countElements;
/*!
@method countSymbols
@abstract Returns the number of symbols in the receiver.
@return The number of symbols in the receiver expressed in the symbol
reference frame.
*/
- (NSUInteger)countSymbols;
/*!
@method countTokens
@abstract Returns the number of tokens in the receiver.
@return The number of tokens in the receiver expressed in the token
reference frame.
*/
- (NSUInteger)countTokens;
/*!
@method elementAtIndex:
@abstract Returns the element at the specified index.
@param anIndex
The index of the element specified in the element reference
frame.
@return The element at <code>anIndex</code>.
*/
- (id<MPExpressionElement>)elementAtIndex:(NSUInteger)anIndex;
/*!
@method symbolAtIndex:
@abstract Returns the symbol at the specified index.
@param anIndex
The index of the symbol specified in the symbol reference frame.
@return The symbol at <code>anIndex</code>.
*/
- (id<MPExpressionElement>)symbolAtIndex:(NSUInteger)anIndex;
/*!
@method tokenAtIndex:
@abstract Returns the token at the specified index.
@param anIndex
The index of the token specified in the token reference frame.
@return The token at <code>anIndex</code>.
*/
- (id<MPToken>)tokenAtIndex:(NSUInteger)anIndex;
#pragma mark Mutating Expressions
/*!
@methodgroup Mutating Expressions
*/
/*!
@method appendElement:
@abstract Appends <code>anElement</code> to the receiver.
@param anElement
The element to append to the receiver.
*/
- (void)appendElement:(id<MPExpressionElement>)anElement;
/*!
@method appendElements:
@abstract Appends the objects from <code>elements</code> to the receiver.
@discussion All objects in the <code>elements</code> array must conform to
the <code>@link MPExpressionElement@/link</code> protocol. If at
least one element does not conform to that protocol a <code>@link
MPIllegalElementException@/link</code> is raised.
@param elements
The elements to append to the receiver.
*/
- (void)appendElements:(NSArray *)elements;
/*!
@method insertElement:atIndex:referenceFrame:
@abstract Inserts <code>anElement</code> at the specified index.
@param anElement
The element to be inserted.
@param index
The index where to insert <code>anElement</code>.
@param referenceFrame
The reference frame <code>index</code> is specified in.
*/
- (void)insertElement:(id<MPExpressionElement>)anElement
atIndex:(NSUInteger)index
referenceFrame:(MPReferenceFrame)referenceFrame;
/*!
@method insertElements:atIndex:referenceFrame:
@abstract Inserts <code>elements</code> at the specified index.
@discussion All objects in the <code>elements</code> array must conform to
the <code>@link MPExpressionElement@/link</code> protocol. If at
least one element does not conform to that protocol a <code>@link
MPIllegalElementException@/link</code> is raised.
@param elements
The elements to be inserted.
@param index
The index where to insert <code>elements</code>.
@param referenceFrame
The reference frame <code>index</code> is specified in.
*/
- (void)insertElements:(NSArray *)elements
atIndex:(NSUInteger)index
referenceFrame:(MPReferenceFrame)referenceFrame;
/*!
@method deleteElementsInRange:referenceFrame:
@abstract Removes the elements identified by <code>range</code> from the
receiver.
@discussion If <code>range</code> exceeds the receiver's bounds a
<code>NSRangeException</code> is raised.
@param range
The range of items to remove from the receiver.
@param referenceFrame
The reference frame <code>range</code> is specified in.
*/
- (void)deleteElementsInRange:(NSRange)range
referenceFrame:(MPReferenceFrame)referenceFrame;
@end