Program 11.1 (main.m)
#import "Fraction.h"
@interface Fraction (MathOps)
-(Fraction *) add: (Fraction *) f;
-(Fraction *) mul: (Fraction *) f;
-(Fraction *) sub: (Fraction *) f;
-(Fraction *) div: (Fraction *) f;
@end
@implementation Fraction (MathOps)
-(Fraction *) add: (Fraction *) f
{
// To add two fractions:
// a/b + c/d = ((a*d) + (b*c) / (b * d)
Fraction *result = [[Fraction alloc] init];
int resultNum, resultDenom;
resultNum = (numerator * f.denominator) + (denominator * f.numerator);
resultDenom = denominator * f.denominator;
[result setTo: resultNum over: resultDenom];
[result reduce];
return result;
}
-(Fraction *) sub: (Fraction *) f
{
// To sub two fractions:
// a/b - c/d = ((a*d) - (b*c)) / (b * d)
Fraction *result = [[Fraction alloc] init];
int resultNum, resultDenom;
resultNum = (numerator * f.denominator) - (denominator * f.numerator);
resultDenom = denominator * f.denominator;
[result setTo: resultNum over: resultDenom];
[result reduce];
return result;
}
-(Fraction *) mul: (Fraction *) f
{
Fraction *result = [[Fraction alloc] init];
[result setTo: numerator * f.numerator over: denominator * f.denominator];
[result reduce];
return result;
}
-(Fraction *) div: (Fraction *) f
{
Fraction *result = [[Fraction alloc] init];
[result setTo: numerator * f.denominator over: denominator * f.numerator];
[result reduce];
return result;
}
@end
int main (int argc, const char * argv[]) {
NSAutoreleasePool * pool = [[NSAutoreleasePool alloc] init];
Fraction *a = [[Fraction alloc] init];
Fraction *b = [[Fraction alloc] init];
Fraction *result;
[a setTo: 1 over: 3];
[b setTo: 2 over: 5];
[a print]; NSLog (@" +"); [b print]; NSLog (@"-----");
result = [a add: b];
[result print];
NSLog (@"\n");
[result release];
[a print]; NSLog (@" -"); [b print]; NSLog (@"-----");
result = [a sub: b];
[result print];
NSLog (@"\n");
[result release];
[a print]; NSLog (@" *"); [b print]; NSLog (@"-----");
result = [a mul: b];
[result print];
NSLog (@"\n");
[result release];
[a print]; NSLog (@" /"); [b print]; NSLog (@"-----");
result = [a div: b];
[result print];
NSLog (@"\n");
[result release];
[a release];
[b release];
[pool drain];
return 0;
}
Fraction.h
#import <Foundation/Foundation.h>
#import <stdio.h>
// Define the Fraction class
@interface Fraction : NSObject {
int numerator;
int denominator;
}
@property int numerator, denominator;
-(void) setTo: (int) n over: (int) d;
-(void) reduce;
-(double) convertToNum;
-(void) print;
@end
Fraction.m
#import "Fraction.h"
@implementation Fraction
@synthesize numerator, denominator;
-(void) print
{
if ( denominator < 0 )
NSLog (@"-%i/%i", numerator, -denominator);
else
NSLog (@"%i/%i", numerator, denominator);
}
-(double) convertToNum
{
if (denominator != 0)
return (double) numerator / denominator;
else
return 1.0;
}
-(void) setTo: (int) n over: (int) d
{
numerator = n;
denominator = d;
}
-(void) reduce
{
int u = numerator;
int v = denominator;
int temp;
while (v != 0) {
temp = u % v;
u = v;
v = temp;
}
numerator /= u;
denominator /= u;
}
@end