将非常大的十进制数转换为 swift 中的十六进制数

Converting very large decimal numbers to hexadecimal in swift

我们可以使用字符串格式说明符将整数值或长整型值转换为十六进制表示法。

Int Example:
print(String(format:"%x", 1111))
//result:457

Long Example:        
print(String(format:"%lx", 11111111111111))
//result:a1b01d4b1c7

但是,如果我们尝试转换大于 uint64.max 的非常大的小数怎么办? //18446744073709551615

在这种情况下,正确的转换方式是什么?

一种可能的解决方案是使用NSDecimalNumber 来保存较大的值。但它没有任何内置方法可以将数字转换为除基数 10 以外的字符串。

以下是 NSDecimalNumber 的扩展,它将数字转换为从 2 到 16 的任何基数。它还包括一个方便的 init,它采用给定基数的字符串。

extension NSDecimalNumber {
    convenience init(string: String, base: Int) {
        guard base >= 2 && base <= 16 else { fatalError("Invalid base") }

        let digits = "0123456789ABCDEF"
        let baseNum = NSDecimalNumber(value: base)

        var res = NSDecimalNumber(value: 0)
        for ch in string {
            let index = digits.index(of: ch)!
            let digit = digits.distance(from: digits.startIndex, to: index)
            res = res.multiplying(by: baseNum).adding(NSDecimalNumber(value: digit))
        }

        self.init(decimal: res.decimalValue)
    }

    func toBase(_ base: Int) -> String {
        guard base >= 2 && base <= 16 else { fatalError("Invalid base") }

        // Support higher bases by added more digits
        let digits = "0123456789ABCDEF"
        let rounding = NSDecimalNumberHandler(roundingMode: .down, scale: 0, raiseOnExactness: false, raiseOnOverflow: false, raiseOnUnderflow: false, raiseOnDivideByZero: false)
        let baseNum = NSDecimalNumber(value: base)

        var res = ""
        var val = self
        while val.compare(0) == .orderedDescending {
            let next = val.dividing(by: baseNum, withBehavior: rounding)
            let round = next.multiplying(by: baseNum)
            let diff = val.subtracting(round)
            let digit = diff.intValue
            let index = digits.index(digits.startIndex, offsetBy: digit)
            res.insert(digits[index], at: res.startIndex)

            val = next
        }

        return res
    }
}

测试:

let bigNum = NSDecimalNumber(string: "18446744073709551615")
print(bigNum.toBase(16))
print(bigNum.toBase(10)) // or just print(bigNum)
print(NSDecimalNumber(string: "B7", base: 16))
print(NSDecimalNumber(string: NSDecimalNumber(string: "18446744073709551615").toBase(16), base: 16))

输出:

FFFFFFFFFFFFFFFF
18446744073709551615
183
18446744073709551615