将浮点数转换为字符串分数表示形式

Question

在Java中，我试图找到一种将浮点数转换为分数字符串的方法。例如：

float num = 1.33333;
String numStr = Convert(num); // Should return "1 1/3"

float num2 = 1.333;
String numStr2 = Convert(num2); // Should also return "1 1/3"

float num3 = 0.5;
String numStr3 = Convert(num3); // Should return "1/2"

float num4 = 2.25;
String numStr4 = Convert(num4); // Should return "2 1/4"

任何想法如何用Java做到这一点？

Answer 1

最简单的方法可能是使用反复试验。

public static String toFraction(double d, int factor) {
    StringBuilder sb = new StringBuilder();
    if (d < 0) {
        sb.append('-');
        d = -d;
    }
    long l = (long) d;
    if (l != 0) sb.append(l);
    d -= l;
    double error = Math.abs(d);
    int bestDenominator = 1;
    for(int i=2;i<=factor;i++) {
        double error2 = Math.abs(d - (double) Math.round(d * i) / i);
        if (error2 < error) {
            error = error2;
            bestDenominator = i;
        }
    }
    if (bestDenominator > 1)
        sb.append(' ').append(Math.round(d * bestDenominator)).append('/') .append(bestDenominator);
    return sb.toString();
}

public static void main(String... args)  {
    System.out.println(toFraction(1.3333, 1000));
    System.out.println(toFraction(1.1428, 1000));
    for(int i=1;i<100000000;i*=10) {
        System.out.println("PI "+i+": "+toFraction(3.1415926535897932385, i));
    }
}

版画

1 1/3
1 1/7
PI 1: 3
PI 10: 3 1/7
PI 100: 3 14/99
PI 1000: 3 16/113
PI 10000: 3 16/113
PI 100000: 3 14093/99532
PI 1000000: 3 140914/995207
PI 10000000: 3 244252/1725033