Golang big.Float的精度问题

我遇到了一些有趣的Golang big.Float计算问题。</ p>

问题是</ p>

10001000100010001000100010001000100010001000100015.5533 / 1000000000000000000 </ p>

= 10001000100010001000100010001000.1000100010001000155533 </ p>

然而,big.Float给“10001000100010001000100010001000.10001000100010001555329999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997 “ </ p>

代码:</ p>

  var prec uint = 1024 // 512 
dec, := new(big.Float).SetPrec(prec).SetString(“ 1000000000000000000”)
:= new(big.Float).SetPrec(prec).SetString(“ 100010001000100010001000100010001000100010001000100015.5533”)
q:= f .Quo(f,dec)

fmt.Printf(“ Percision:%d
fmt.Pri ntf(“商:%s
</ code> </ pre>

结果:</ p>

商数:10001000100010001000100010001000.1000100010001000155532999999999999999999999999999999999999999999999999999999999 > </ p>

</ code> </ pre>

任何人都知道我的问题是什么 代码或如何配置big.Float以获得预期的结果?</ p>

感谢所有人!</ p>
</ div>



I've met some interesting problem of Golang big.Float calculation.

The Problem is

10001000100010001000100010001000100010001000100015.5533 / 1000000000000000000

= 10001000100010001000100010001000.1000100010001000155533

However, big.Float gave "10001000100010001000100010001000.10001000100010001555329999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997"

The code:

var prec uint = 1024 // 512
dec, _ := new(big.Float).SetPrec(prec).SetString("1000000000000000000")
f, _ := new(big.Float).SetPrec(prec).SetString("10001000100010001000100010001000100010001000100015.5533")
q := f.Quo(f, dec)

fmt.Printf("Percision: %d
", prec)
fmt.Printf("Quotient: %s
", q.Text('f', -1))


Percision: 1024
Quotient: 10001000100010001000100010001000.10001000100010001555329999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999997

And the more confusing part is, if I set prec = 512, a smaller precision, it produced correct result instead.

Percision: 512
Quotient: 10001000100010001000100010001000.1000100010001000155533

Doses any one know what's wrong of my code or how to configure big.Float to get expected result?

Thanks to all!


From go doc math/big.Float:

A nonzero finite Float represents a multi-precision floating point number

sign × mantissa × 2**exponent

with 0.5 <= mantissa < 1.0, and MinExp <= exponent <= MaxExp.

And SetPrec sets the bitwidth of the mantissa not some decimal precision.

Like with float64s not every decimal number can be represented exact in a big.Float and your code shows this. The fact that you see what you expect to see with prec=512 is due to different rounding and printing.

Rule of thumb: big.Floats behave like "normal" floats with all their shortcomings (here not every decimal fraction can be represented) but may show less rounding errors.

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<div class="post-text" itemprop="text"> <p>convert big.Float to big.Int, i write code below, but it overflow with uint64, so what's the correct way to cenvert big.Float to big.Int.</p> <pre><code>package main import "fmt" import "math/big" func FloatToBigInt(val float64) *big.Int { bigval := new(big.Float) bigval.SetFloat64(val) coin := new(big.Float) coin.SetInt(big.NewInt(1000000000000000000)) bigval.Mul(bigval, coin) result := new(big.Int) f,_ := bigval.Uint64() result.SetUint64(f) return result } func main() { fmt.Println("vim-go") fmt.Println(FloatToBigInt(float64(10))) fmt.Println(FloatToBigInt(float64(20))) fmt.Println(FloatToBigInt(float64(30))) fmt.Println(FloatToBigInt(float64(40))) fmt.Println(FloatToBigInt(float64(50))) fmt.Println(FloatToBigInt(float64(100))) fmt.Println(FloatToBigInt(float64(1000))) fmt.Println(FloatToBigInt(float64(10000))) } </code></pre> </div>


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