Renamed to write-pi.ps1

This commit is contained in:
Markus Fleschutz
2024-10-28 14:12:31 +01:00
parent 73a3646ab7
commit 8a33a05610

74
scripts/write-pi.ps1 Executable file
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<#
.SYNOPSIS
Writes PI
.DESCRIPTION
This PowerShell script calculates and writes the digits of the mathematical constant PI.
.PARAMETER digits
Specifies the number of digits to list (1000 by default)
.EXAMPLE
PS> ./write-pi.ps1
3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342...
.LINK
https://github.com/fleschutz/PowerShell
.NOTES
Author: Markus Fleschutz | License: CC0
#>
param([int]$digits = 1000)
function Write-Pi ( $digits ) {
$Big = [bigint[]](0..10)
$ndigits = 0
$q = $t = $k = $Big[1]
$r = $Big[0]
$l = $n = $Big[3]
# calculate first digit
$nr = ( $Big[2] * $q + $r ) * $l
$nn = ( $q * ( $Big[7] * $k + $Big[2] ) + $r * $l ) / ( $t * $l )
$q *= $k
$t *= $l
$l += $Big[2]
$k = $k + $Big[1]
$n = $nn
$r = $nr
Write-Host "$($n)." -noNewline
$ndigits++
$nr = $Big[10] * ( $r - $n * $t )
$n = ( ( $Big[10] * ( 3 * $q + $r ) ) / $t ) - 10 * $n
$q *= $Big[10]
$r = $nr
while ($ndigits -lt $digits) {
if ($Big[4] * $q + $r - $t -lt $n * $t) {
Write-Host "$n" -noNewline
$ndigits++
$nr = $Big[10] * ( $r - $n * $t )
$n = ( ( $Big[10] * ( 3 * $q + $r ) ) / $t ) - 10 * $n
$q *= $Big[10]
$r = $nr
} else {
$nr = ( $Big[2] * $q + $r ) * $l
$nn = ( $q * ( $Big[7] * $k + $Big[2] ) + $r * $l ) / ( $t * $l )
$q *= $k
$t *= $l
$l += $Big[2]
$k = $k + $Big[1]
$n = $nn
$r = $nr
}
}
Write-Host "... ($digits digits)"
}
try {
Write-Pi $digits
exit 0 # success
} catch {
"⚠️ Error in line $($_.InvocationInfo.ScriptLineNumber): $($Error[0])"
exit 1
}