Square root by hand: Difference between revisions
Content added Content deleted
(→{{header|Wren}}: Changed height of output box to accommodate new example.) |
(→{{header|Go}}: Adjusted to deal with non-integer cases.) |
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=={{header|Go}}== |
=={{header|Go}}== |
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{{trans|Visual Basic .NET}} |
{{trans|Visual Basic .NET}} |
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The original has been adjusted in a similar fashion to the Wren entry to deal with non-integer cases. |
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<lang go>package main |
<lang go>package main |
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var hundred = big.NewInt(100) |
var hundred = big.NewInt(100) |
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func sqrt(n |
func sqrt(n float64, limit int) { |
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if n < 0 { |
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log.Fatal("Number cannot be negative") |
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} |
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count := 0 |
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for n != math.Trunc(n) { |
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n *= 100 |
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count-- |
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} |
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i := big.NewInt(int64(n)) |
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j := new(big.Int).Sqrt(i) |
j := new(big.Int).Sqrt(i) |
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count += len(j.String()) |
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k := new(big.Int).Set(j) |
k := new(big.Int).Set(j) |
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d := new(big.Int).Set(j) |
d := new(big.Int).Set(j) |
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t := new(big.Int) |
t := new(big.Int) |
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digits := 0 |
digits := 0 |
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var sb strings.Builder |
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for digits < limit { |
for digits < limit { |
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sb.WriteString(d.String()) |
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t.Mul(k, d) |
t.Mul(k, d) |
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i.Sub(i, t) |
i.Sub(i, t) |
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digits = digits + 1 |
digits = digits + 1 |
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} |
} |
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root := strings.TrimRight(sb.String(), "0") |
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| ⚫ | |||
if len(root) == 0 { |
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root = "0" |
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} |
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if count > 0 { |
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root = root[0:count] + "." + root[count:] |
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} else if count == 0 { |
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root = "0." + root |
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} else { |
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root = "0." + strings.Repeat("0", -count) + root |
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} |
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root = strings.TrimSuffix(root, ".") |
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| ⚫ | |||
} |
} |
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func main() { |
func main() { |
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numbers := []float64{2, 0.2, 10.89, 625, 0.0001} |
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sqrt(2, 480) // enough for demo purposes |
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digits := []int{500, 80, 8, 8, 8} |
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for i, n := range numbers { |
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fmt.Printf("First %d significant digits (at most) of the square root of %g:\n", digits[i], n) |
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sqrt(n, digits[i]) |
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fmt.Println() |
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} |
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}</lang> |
}</lang> |
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{{out}} |
{{out}} |
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<pre style="height: |
<pre style="height:72ex; overflow:scroll; white-space:pre-wrap;"> |
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First 500 significant digits (at most) of the square root of 2: |
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141421356237309504880168872420969807856967187537694807317667973799073247846210703885038753432764157273501384623091229702492483605585073721264412149709993583141322266592750559275579995050115278206057147010955997160597027453459686201472851741864088919860955232923048430871432145083976260362799525140798968725339654633180882964062061525835239505474575028775996172983557522033753185701135437460340849884716038689997069900481503054402779031645424782306849293691862158057846311159666871 |
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1.4142135623730950488016887242096980785696718753769480731766797379907324784621070388503875343276415727350138462309122970249248360558507372126441214970999358314132226659275055927557999505011527820605714701095599716059702745345968620147285174186408891986095523292304843087143214508397626036279952514079896872533965463318088296406206152583523950547457502877599617298355752203375318570113543746034084988471603868999706990048150305440277903164542478230684929369186215805784631115966687130130156185689872372 |
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First 80 significant digits (at most) of the square root of 0.2: |
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0.44721359549995793928183473374625524708812367192230514485417944908210418512756097 |
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First 8 significant digits (at most) of the square root of 10.89: |
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3.3 |
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First 8 significant digits (at most) of the square root of 625: |
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25 |
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First 8 significant digits (at most) of the square root of 0.0001: |
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0.01 |
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</pre> |
</pre> |
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