将小数转换为目标C的分数(有理数)? [英] Convert decimal to fraction (rational number) in Objective C?

问题描述

作为计算器应用程序的一部分，我正在尝试使用sigma表示法实现用途.但是，它输出的结果始终是小数，其余的并不重要.我只是想将小数更改为小数.

As part of a calculator app, I am trying to implement uses with sigma notation. However, the result it prints out is always a decimal, and the rest isn't important. I simply want to change the decimal to a fraction.

我已经具有reduce函数，我遇到的问题是从这样的十进制开始:'0.96875'到其小数值'31/32'

I already have the reduce function, the problem I'm having is getting from a decimal like this: '0.96875' to it's fractional value, '31/32'

谢谢！

PS:我已经调查了几乎所有内容，对于我的一生，我无法弄清楚.此时，我需要的是如何从中取出小数，然后可以将其减少.

PS: I've looked into just about everything, and for the life of me, I can't figure this out. All I need at this point is how to take the decimal out of it, and I can then reduce it.

这是我的reduce方法:

Here is my reduce method:

    -(void)reduce {

    int u = numerator;
    int v = denominator;
    int temp;

    while (v != 0) {
        temp = u % v;
        u = v;
        v = temp;
    }

    numerator /= u;
    denominator /= u;

}

推荐答案

我自己发现了这个问题.我所做的是将分子和分母乘以1000000(回想小数看起来像.96875/1)，这样看起来像96875/100000.

Found this out myself. What I did was multiply the numerator and denominator by 1000000 (recalling that the decimal looked like .96875/1) so that it looked like 96875/100000.

然后，我使用此reduce方法将其归为最低术语:

Then, I used this reduce method to bring it into lowest terms:

    -(void)reduce {

    int u = numerator;
    int v = denominator;
    int temp;

    while (v != 0) {
        temp = u % v;
        u = v;
        v = temp;
    }

    numerator /= u;
    denominator /= u;

}

最后，我使用打印方法将其转换为小数形式:

And finally,I used a print method to get it into fraction form:

//In the .h
@property int numerator, denominator, mixed;
-(void)print;

//In the .m       
@synthesize numerator, denominator, mixed;

-(void)print {
    if (numerator > denominator) {
        //Turn fraction into mixed number
        mixed = numerator/denominator;
        numerator -= (mixed * denominator);
        NSLog(@"= %i %i/%i", mixed, numerator, denominator);
    } else if (denominator != 1) {
        //Print fraction normally
        NSLog(@"= %i/%i", numerator, denominator);
    } else {
        //Print as integer if it has a denominator of 1
        NSLog(@"= %i", numerator);
    }
}

得到我想要的输出:

31/32

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