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Added the MPExpressionTree Classes

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Kim Wittenburg
2014-10-13 23:53:04 +02:00
parent 82259f87e2
commit 5592128926
60 changed files with 1981 additions and 725 deletions
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149
MathPad/MPTerm.m
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@@ -1,149 +0,0 @@
//
// MPTerm.m
// MathPad
//
// Created by Kim Wittenburg on 27.09.14.
// Copyright (c) 2014 Kim Wittenburg. All rights reserved.
//
#import "MPTerm.h"
#import "MPEvaluationContext.h"
#import "MPMathRules.h"
@interface MPTerm ()
@property (nonatomic, copy) NSDecimalNumber *(^block)();
@end
@implementation MPTerm
- (instancetype)initWithBlock:(NSDecimalNumber *(^)())block
{
self = [super init];
if (self) {
self.block = block;
}
return self;
}
- (instancetype)initWithNumber:(NSDecimalNumber *)number
{
return [self initWithBlock:^NSDecimalNumber *{
return number;
}];
}
- (instancetype)initWithSummands:(NSArray *)summands
{
return [self initWithBlock:^NSDecimalNumber *{
NSDecimalNumber *value = [NSDecimalNumber zero];
for (MPTerm *term in summands) {
value = [value decimalNumberByAdding:[term evaluate]];
}
return value;
}];
}
- (instancetype)initWithFactors:(NSArray *)factors
{
return [self initWithBlock:^NSDecimalNumber *{
NSDecimalNumber *value = [NSDecimalNumber one];
for (MPTerm *term in factors) {
value = [value decimalNumberByMultiplyingBy:[term evaluate]];
}
return value;
}];
}
- (instancetype)initWithVariable:(NSString *)variable
{
return [self initWithBlock:^NSDecimalNumber *{
return [[MPEvaluationContext sharedContext] valueForVariable:variable];
}];
}
- (instancetype)initWithFactorialOfTerm:(MPTerm *)term
{
return [self initWithBlock:^NSDecimalNumber *{
NSDecimalNumber *termValue = [term evaluate];
return [[NSDecimalNumber alloc] initWithDouble:tgamma(termValue.doubleValue + 1)];
}];
}
- (instancetype)initWithSinOfTerm:(MPTerm *)term
{
return [self initWithBlock:^NSDecimalNumber *{
NSDecimalNumber *termValue = [term evaluate];
if ([MPMathRules sharedRules].isUsingDegrees) {
termValue = [[termValue decimalNumberByMultiplyingBy:[[NSDecimalNumber alloc] initWithDouble:M_PI]] decimalNumberByDividingBy:[[NSDecimalNumber alloc] initWithInteger:180]];
}
return [[NSDecimalNumber alloc] initWithDouble:sin(termValue.doubleValue)];
}];
}
- (instancetype)initWithCosOfTerm:(MPTerm *)term
{
return [self initWithBlock:^NSDecimalNumber *{
NSDecimalNumber *termValue = [term evaluate];
if ([MPMathRules sharedRules].isUsingDegrees) {
termValue = [[termValue decimalNumberByMultiplyingBy:[[NSDecimalNumber alloc] initWithDouble:M_PI]] decimalNumberByDividingBy:[[NSDecimalNumber alloc] initWithInteger:180]]; }
return [[NSDecimalNumber alloc] initWithDouble:cos(termValue.doubleValue)];
}];
}
- (instancetype)initWithTanOfTerm:(MPTerm *)term
{
return [self initWithBlock:^NSDecimalNumber *{
NSDecimalNumber *termValue = [term evaluate];
if ([MPMathRules sharedRules].isUsingDegrees) {
termValue = [[termValue decimalNumberByMultiplyingBy:[[NSDecimalNumber alloc] initWithDouble:M_PI]] decimalNumberByDividingBy:[[NSDecimalNumber alloc] initWithInteger:180]]; }
return [[NSDecimalNumber alloc] initWithDouble:tan(termValue.doubleValue)];
}];
}
- (instancetype)initWithInverseSinOfTerm:(MPTerm *)term
{
return [self initWithBlock:^NSDecimalNumber *{
NSDecimalNumber *termValue = [term evaluate];
NSDecimalNumber *result = [[NSDecimalNumber alloc] initWithDouble:asin(termValue.doubleValue)];
if ([MPMathRules sharedRules].isUsingDegrees) {
result = [[result decimalNumberByMultiplyingBy:[[NSDecimalNumber alloc] initWithInteger:180]] decimalNumberByDividingBy:[[NSDecimalNumber alloc] initWithDouble:M_PI]];
}
return result;
}];
}
- (instancetype)initWithInverseCosOfTerm:(MPTerm *)term
{
return [self initWithBlock:^NSDecimalNumber *{
NSDecimalNumber *termValue = [term evaluate];
NSDecimalNumber *result = [[NSDecimalNumber alloc] initWithDouble:acos(termValue.doubleValue)];
if ([MPMathRules sharedRules].isUsingDegrees) {
result = [[result decimalNumberByMultiplyingBy:[[NSDecimalNumber alloc] initWithInteger:180]] decimalNumberByDividingBy:[[NSDecimalNumber alloc] initWithDouble:M_PI]];
}
return result; }];
}
- (instancetype)initWithInverseTanOfTerm:(MPTerm *)term
{
return [self initWithBlock:^NSDecimalNumber *{
NSDecimalNumber *termValue = [term evaluate];
NSDecimalNumber *result = [[NSDecimalNumber alloc] initWithDouble:atan(termValue.doubleValue)];
if ([MPMathRules sharedRules].isUsingDegrees) {
result = [[result decimalNumberByMultiplyingBy:[[NSDecimalNumber alloc] initWithInteger:180]] decimalNumberByDividingBy:[[NSDecimalNumber alloc] initWithDouble:M_PI]];
}
return result; }];
}
- (NSDecimalNumber *)evaluate
{
@try {
return self.block();
}
@catch (NSException *exception) {
return [NSDecimalNumber notANumber];
}
}
@end