Archived
1

First implementation (incomplete) of MPExpression and MPFunction.

Declared custom exceptions in MPException.h
This commit is contained in:
Kim Wittenburg
2014-04-20 01:22:59 +02:00
parent 8244cdab4e
commit 01acd87b05
5 changed files with 718 additions and 0 deletions

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//
// MPException.h
// MathPad
//
// Created by Kim Wittenburg on 19.04.14.
// Copyright (c) 2014 Kim Wittenburg. All rights reserved.
//
#ifndef MathPad_MPException_h
#define MathPad_MPException_h
extern NSString *MPIllegalSymbolException;
extern NSString *MPIllegalSymbolExceptionSymbolKey;
#endif

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MathPad/MPException.m Normal file
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//
// MPException.m
// MathPad
//
// Created by Kim Wittenburg on 19.04.14.
// Copyright (c) 2014 Kim Wittenburg. All rights reserved.
//
#import "MPException.h"
#import "MPException_Private.h"
NSString *MPIllegalSymbolException = @"MPIllegalSymbolException";
NSString *MPIllegalSymbolExceptionReason = @"Only NSString and MPFunction objects are valid symbols.";
NSString *MPIllegalSymbolExceptionSymbolKey = @"MPIllegalSymbolExceptionSymbolKey";

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//
// MPException_Private.h
// MathPad
//
// Created by Kim Wittenburg on 19.04.14.
// Copyright (c) 2014 Kim Wittenburg. All rights reserved.
//
#ifndef MathPad_MPException_Private_h
#define MathPad_MPException_Private_h
extern NSString *MPIllegalSymbolExceptionReason;
#endif

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//
// MPExpression.m
// MathPad
//
// Created by Kim Wittenburg on 17.04.14.
// Copyright (c) 2014 Kim Wittenburg. All rights reserved.
//
#import "MPExpression.h"
#import "MPFunction.h"
#import "MPException.h"
#import "MPException_Private.h"
@interface MPExpression (MPExpressionPrivate)
- (NSInteger)lengthOfSymbol:(id)symbol;
- (void)validateSymbols:(NSArray *)symbols;
- (NSArray *)repairedSymbols:(NSArray *)symbols; // Merges subsequent strings
- (void)repairSymbols:(NSMutableArray *)symbols;
- (void)getSplitOffset:(out NSUInteger *)offset inSymbolAtIndex:(out NSUInteger *)symbolIndex forSplitLocation:(NSUInteger)loc;
@end
@implementation MPExpression {
@package
__strong NSArray *_symbols;
NSInteger _length;
}
#pragma mark Creation Methods
- (instancetype)initWithSymbols:(NSArray *)symbols
{
[self validateSymbols:symbols];
self = [super init];
if (self) {
symbols = [self repairedSymbols:symbols];
_symbols = [[NSArray alloc] initWithArray:symbols
copyItems:YES];
}
return self;
}
#pragma mark Primitive Methods
- (NSUInteger)numberOfSymbols
{
return [_symbols count];
}
- (id)symbolAtIndex:(NSUInteger)index
{
return _symbols[index];
}
- (double)doubleValue
{
#warning Unimplemented Method
return 0;
}
#pragma mark - NSCopying
- (id)copyWithZone:(NSZone *)zone
{
MPExpression *copy = [[MPExpression allocWithZone:zone] initWithSymbols:_symbols];
return copy;
}
#pragma mark - NSMutableCopying
- (id)mutableCopyWithZone:(NSZone *)zone
{
// TODO: Test Copying
MPMutableExpression *mutableCopy = [[MPMutableExpression allocWithZone:zone] initWithSymbols:_symbols];
return mutableCopy;
}
#pragma mark - NSCoding
- (id)initWithCoder:(NSCoder *)aDecoder
{
// TODO: Test Coding
return [self initWithSymbols:[aDecoder decodeObject]];
}
- (void)encodeWithCoder:(NSCoder *)aCoder
{
[aCoder encodeObject:_symbols];
}
@end
@implementation MPExpression (MPExpressionPrivate)
- (NSInteger)lengthOfSymbol:(id)symbol
{
if ([symbol isKindOfClass:[NSString class]]) {
return [symbol length];
}
return 1;
}
// TODO: Deal with subsequent strings
- (void)validateSymbols:(NSArray *)symbols
{
for (id symbol in symbols) {
if (!([symbol isKindOfClass:[NSString class]]
|| [symbol isKindOfClass:[MPFunction class]])) {
@throw [NSException exceptionWithName:MPIllegalSymbolException
reason:MPIllegalSymbolExceptionReason
userInfo:@{MPIllegalSymbolExceptionSymbolKey: symbol}];
}
}
}
- (NSArray *)repairedSymbols:(NSArray *)symbols
{
NSMutableArray *mutableSymbols = [symbols mutableCopy];
[self repairSymbols:mutableSymbols];
return [mutableSymbols copy];
}
- (void)repairSymbols:(NSMutableArray *)symbols
{
for (NSInteger index = 1; index < symbols.count; index++) {
id last = symbols[index-1];
id current = symbols[index];
if ([last isKindOfClass:[NSString class]] && [current isKindOfClass:[NSString class]]) {
NSMutableString *new = [NSMutableString stringWithFormat:@"%@%@", last, current];
[symbols replaceObjectAtIndex:index-1 withObject:new];
[symbols removeObjectAtIndex:index];
index--;
}
}
}
- (void)getSplitOffset:(out NSUInteger *)offset inSymbolAtIndex:(out NSUInteger *)symbolIndex forSplitLocation:(NSUInteger)loc
{
NSUInteger length = 0;
NSUInteger index = 0;
NSUInteger symbolLength = 0;
for (id symbol in _symbols) {
symbolLength = [self lengthOfSymbol:symbol];
length += symbolLength;
if (length >= loc) {
break;
}
index++;
}
*offset = symbolLength - (length - loc);
*symbolIndex = index;
}
@end
@implementation MPExpression (MPExpressionExtensionMethods)
#pragma mark Creation Methods
- (instancetype)init
{
return [self initWithSymbols:@[]];
}
- (instancetype)initWithString:(NSString *)aString
{
return [self initWithSymbols:@[aString]];
}
- (instancetype)initWithFunction:(MPFunction *)aFunction
{
return [self initWithSymbols:@[aFunction]];
}
+ (instancetype)expression
{
return [[self alloc] init];
}
+ (instancetype)expressionWithString:(NSString *)aString
{
return [[self alloc] initWithString:aString];
}
+ (instancetype)expressionWithFunction:(MPFunction *)aFunction
{
return [[self alloc] initWithFunction:aFunction];
}
+ (instancetype)expressionWithSymbols:(NSArray *)symbols
{
return [[self alloc] initWithSymbols:symbols];
}
#pragma mark Working with Expressions
- (NSUInteger)length
{
if (_length == 0) {
for (id symbol in _symbols) {
_length += [self lengthOfSymbol:symbol];
}
}
return _length;
}
- (MPExpression *)subexpressionFromIndex:(NSUInteger)from
{
return [self subexpressionWithRange:NSMakeRange(from, [self length] - from)];
}
- (MPExpression *)subexpressionToIndex:(NSUInteger)to
{
return [self subexpressionWithRange:NSMakeRange(0, to)];
}
- (MPExpression *)subexpressionWithRange:(NSRange)range
{
if (NSMaxRange(range) > self.length) {
@throw [NSException exceptionWithName:NSRangeException reason:@"Range outside bounds of expression." userInfo:nil];
}
if (range.location == self.length || NSMaxRange(range) == 0 || range.length == 0) {
// Speed this up
return [[MPExpression alloc] init];
}
NSUInteger startOffset;
NSUInteger startSymbolIndex;
[self getSplitOffset:&startOffset inSymbolAtIndex:&startSymbolIndex forSplitLocation:range.location];
id startSymbol = _symbols[startSymbolIndex];
if (startOffset == [self lengthOfSymbol:startSymbol]) {
startOffset = 0;
startSymbolIndex++;
startSymbol = _symbols[startSymbolIndex];
} else if ([startSymbol isKindOfClass:[NSString class]]) {
startSymbol = [startSymbol substringFromIndex:startOffset];
}
NSUInteger endOffset;
NSUInteger endSymbolIndex;
[self getSplitOffset:&endOffset inSymbolAtIndex:&endSymbolIndex forSplitLocation:NSMaxRange(range)];
id endSymbol = _symbols[endSymbolIndex];
if ([endSymbol isKindOfClass:[NSString class]]) {
endSymbol = [endSymbol substringToIndex:endOffset];
}
NSMutableArray *symbols = [[NSMutableArray alloc] initWithCapacity:endSymbolIndex-startSymbolIndex+1];
[symbols addObject:startSymbol];
if (endSymbolIndex > startSymbolIndex + 1) {
NSInteger restLength = endSymbolIndex - startSymbolIndex - 1;
[symbols addObjectsFromArray:[_symbols subarrayWithRange:NSMakeRange(startSymbolIndex+1, restLength)]];
}
if (endSymbolIndex > startSymbolIndex) {
[symbols addObject:endSymbol];
} else if (endSymbolIndex == startSymbolIndex && [startSymbol isKindOfClass:[NSString class]]) {
NSString *result = [_symbols[startSymbolIndex] substringWithRange:NSMakeRange(startOffset, endOffset-startOffset)];
[symbols replaceObjectAtIndex:0 withObject:result];
}
return [[MPExpression alloc] initWithSymbols:symbols];
}
- (BOOL)isEqual:(id)object
{
if (self == object) {
return YES;
}
if (object == nil) {
return NO;
}
if (![object isKindOfClass:[MPExpression class]]) {
return NO;
}
return [self isEqualToExpression:(MPExpression *)object];
}
- (BOOL)isEqualToExpression:(MPExpression *)anExpression
{
// TODO: Use ->_symbols or .symbols
return [_symbols isEqualToArray:anExpression->_symbols];
}
// TODO: prefix and suffix operators
- (MPExpression *)expressionByAppendingString:(NSString *)aString
{
return [self expressionByAppendingSymbols:@[aString]];
}
- (MPExpression *)expressionByAppendingFunction:(MPFunction *)aFunction
{
return [self expressionByAppendingSymbols:@[aFunction]];
}
- (MPExpression *)expressionByAppendingExpression:(MPExpression *)anExpression
{
return [self expressionByAppendingSymbols:anExpression.symbols];
}
- (MPExpression *)expressionByAppendingSymbols:(NSArray *)symbols
{
return [[MPExpression alloc] initWithSymbols:[_symbols arrayByAddingObjectsFromArray:symbols]];
}
#pragma mark Evaluating Expressions
- (float)floatValue
{
return (float)[self doubleValue];
}
- (int)intValue
{
return (int)[self doubleValue];
}
- (NSInteger)integerValue
{
return (NSInteger)[self doubleValue];
}
- (long long)longLongValue
{
return (long long)[self doubleValue];
}
#pragma mark Querying an Expression's Contents
- (NSArray *)symbols
{
// _symbols is immutable so it is ok to just return it instead of making a copy
return _symbols;
}
- (NSString *)description
{
#warning Unimplemented Method
/*
Join the symbols regarding pre- and suffix operators. If there is no operator a * should be inserted
*/
return [super description];
}
- (NSUInteger)hash
{
return [_symbols hash];
}
@end
@interface MPMutableExpression (MPMutableExpressionPrivate)
- (NSArray *)makeSymbols:(NSArray *)symbols mutable:(BOOL)mutable copySymbols:(BOOL)copy;
@end
@implementation MPMutableExpression (MPMutableExpressionPrivate)
- (NSArray *)makeSymbols:(NSArray *)symbols mutable:(BOOL)mutable copySymbols:(BOOL)copy
{
NSMutableArray *newSymbols = [[NSMutableArray alloc] initWithCapacity:symbols.count];
for (id symbol in symbols) {
id newSymbol;
if ([symbol isKindOfClass:[NSString class]]) {
if (mutable) {
newSymbol = [symbol mutableCopy];
} else {
newSymbol = [symbol copy];
}
} else {
if (copy) {
newSymbol = [symbol copy];
} else {
newSymbol = symbol;
}
}
[newSymbols addObject:newSymbol];
}
return newSymbols;
}
@end
// A mutable expression uses NSMutableString objects instead of NSString objects
@implementation MPMutableExpression
- (instancetype)initWithSymbols:(NSArray *)symbols
{
[self validateSymbols:symbols];
self = [super initWithSymbols:nil];
if (self) {
symbols = [self repairedSymbols:symbols];
_symbols = [self makeSymbols:symbols
mutable:YES
copySymbols:YES];
}
return self;
}
- (id)symbolAtIndex:(NSUInteger)index
{
id symbol = _symbols[index];
if ([symbol isKindOfClass:[NSString class]]) {
return [symbol copy];
}
return symbol;
}
- (NSArray *)symbols
{
return [self makeSymbols:_symbols mutable:NO copySymbols:NO];
}
- (void)replaceSymbolsInRange:(NSRange)range withSymbols:(NSArray *)symbols
{
if (NSMaxRange(range) > self.length) {
@throw [NSException exceptionWithName:NSRangeException reason:@"Range out of bounds of expression." userInfo:nil];
}
[self validateSymbols:symbols];
// Locate the position, split the symbols
NSUInteger startIndex;
[self splitSymbolsAtLocation:range.location insertionIndex:&startIndex];
// Perform the deletion
if (range.length > 0) {
NSUInteger endIndex;
[self splitSymbolsAtLocation:NSMaxRange(range) insertionIndex:&endIndex];
NSMutableIndexSet *indexes = [[NSMutableIndexSet alloc] init];
for (NSUInteger index = startIndex; index < endIndex; index++) {
[indexes addIndex:index];
}
[(NSMutableArray *)_symbols removeObjectsAtIndexes:indexes];
}
// Perform the insertion
if (symbols.count > 0) {
NSArray *newSymbols = [self makeSymbols:symbols mutable:YES copySymbols:YES];
[(NSMutableArray *)_symbols replaceObjectsInRange:NSMakeRange(startIndex, 0) withObjectsFromArray:newSymbols];
}
// Revalidate structure and invalidate length
[self repairSymbols:(NSMutableArray *)_symbols];
_length = 0;
}
- (void)splitSymbolsAtLocation:(NSUInteger)loc insertionIndex:(out NSUInteger *)insertionIndex
{
NSUInteger splitSymbolIndex;
NSUInteger splitOffset;
[self getSplitOffset:&splitOffset inSymbolAtIndex:&splitSymbolIndex forSplitLocation:loc];
id splitSymbol = _symbols[splitSymbolIndex];
NSInteger splitSymbolLength = [self lengthOfSymbol:splitSymbol];
if (splitOffset == splitSymbolLength) {
splitOffset = 0;
splitSymbolIndex++;
}
if (splitOffset != 0) {
NSMutableString *leftPart = [[splitSymbol substringToIndex:splitOffset] mutableCopy];
NSMutableString *rightPart = [[splitSymbol substringFromIndex:splitOffset] mutableCopy];
[(NSMutableArray *)_symbols replaceObjectAtIndex:splitSymbolIndex withObject:leftPart];
splitSymbolIndex++;
[(NSMutableArray *)_symbols insertObject:rightPart atIndex:splitSymbolIndex];
}
*insertionIndex = splitSymbolIndex;
}
@end
@implementation MPMutableExpression (MPMutableExpressionExtensionMethods)
- (void)insertString:(NSString *)aString atIndex:(NSUInteger)loc
{
[self insertSymbols:@[aString] atIndex:loc];
}
- (void)insertFunction:(MPFunction *)aFunction atIndex:(NSUInteger)loc
{
[self insertSymbols:@[aFunction] atIndex:loc];
}
- (void)insertExpression:(MPExpression *)anExpression atIndex:(NSUInteger)loc
{
[self insertSymbols:anExpression.symbols atIndex:loc];
}
- (void)insertSymbols:(NSArray *)symbols atIndex:(NSUInteger)loc
{
[self replaceSymbolsInRange:NSMakeRange(loc, 0)
withSymbols:symbols];
}
- (void)deleteSymbolsInRange:(NSRange)range
{
[self replaceSymbolsInRange:range
withSymbols:@[]];
}
- (void)appendString:(NSString *)aString
{
[self appendSymbols:@[aString]];
}
- (void)appendFunction:(MPFunction *)aFunction
{
[self appendSymbols:@[aFunction]];
}
- (void)appendExpression:(MPExpression *)anExpression
{
[self appendSymbols:anExpression.symbols];
}
- (void)appendSymbols:(NSArray *)symbols
{
[self replaceSymbolsInRange:NSMakeRange(self.length, 0)
withSymbols:symbols];
}
- (void)setString:(NSString *)aString
{
[self setSymbols:@[aString]];
}
- (void)setFunction:(MPFunction *)aFunction
{
[self setSymbols:@[aFunction]];
}
- (void)setExpression:(MPExpression *)anExpression
{
[self setSymbols:anExpression.symbols];
}
- (void)setSymbols:(NSArray *)symbols
{
[self replaceSymbolsInRange:NSMakeRange(0, self.length)
withSymbols:symbols];
}
@end

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//
// MPFunction.m
// MathPad
//
// Created by Kim Wittenburg on 18.04.14.
// Copyright (c) 2014 Kim Wittenburg. All rights reserved.
//
#import "MPFunction.h"
@implementation MPFunction
#pragma mark Creation Methods
- (instancetype)init
{
self = [super init];
if (self) {
}
return self;
}
#pragma mark Children
- (NSUInteger)numberOfChildren
{
return 0;
}
- (MPExpression *)childAtIndex:(NSUInteger)index
{
return nil;
}
- (void)setChild:(MPExpression *)child atIndex:(NSUInteger)index
{}
#pragma mark Evaluating Functions
- (double)doubleValue
{
return 0;
}
#pragma mark Working With Functions
- (BOOL)isEqual:(id)object
{
if (self == object) {
return YES;
}
if (object == nil) {
return NO;
}
if (![object isKindOfClass:[MPFunction class]]) {
return NO;
}
return [self isEqualToFunction:(MPFunction *)object];
}
- (BOOL)isEqualToFunction:(MPFunction *)aFunction
{
return [aFunction isMemberOfClass:[MPFunction class]] && [self isMemberOfClass:[MPFunction class]];
}
#pragma mark - NSCopying
- (id)copyWithZone:(NSZone *)zone
{
return [[MPFunction allocWithZone:zone] init];
}
#pragma mark - NSCoding
- (id)initWithCoder:(NSCoder *)aDecoder
{
self = [super init];
if (self) {
}
return self;
}
- (void)encodeWithCoder:(NSCoder *)aCoder
{}
@end
@implementation MPFunction (MPFunctionExtensionMethods)
#pragma mark Children
- (NSArray *)children
{
NSUInteger childCount = [self numberOfChildren];
NSMutableArray *children = [[NSMutableArray alloc] initWithCapacity:childCount];
for (NSInteger i = 0; i < childCount; i++) {
[children addObject:[self childAtIndex:i]];
}
return [children copy];
}
#pragma mark Evaluating Functions
- (float)floatValue
{
return (float)[self doubleValue];
}
- (int)intValue
{
return (int)[self doubleValue];
}
- (NSInteger)integerValue
{
return (NSInteger)[self doubleValue];
}
- (long long)longLongValue
{
return (long long)[self doubleValue];
}
- (NSString *)description
{
return @"[]";
}
- (NSUInteger)hash
{
return 0;
}
@end