source code
<?php
/* The Computer Language Benchmarks Game
https://salsa.debian.org/benchmarksgame-team/benchmarksgame/
contributed by Peter Baltruschat
*/
function Transformation_Compose($tr, $a)
{
return array(
gmp_mul($tr[0], $a[0]),
gmp_add(gmp_mul($tr[0], $a[1]), gmp_mul($tr[1], $a[3])),
gmp_add(gmp_mul($tr[2], $a[0]), gmp_mul($tr[3], $a[2])),
gmp_add(gmp_mul($tr[2], $a[1]), gmp_mul($tr[3], $a[3]))
);
}
function Transformation_Compose2($y, $a)
{
return array(
gmp_mul(10, $a[0]),
gmp_add(gmp_mul(10, $a[1]), gmp_mul(gmp_mul(-10, $y), $a[3])),
$a[2],
$a[3]
);
}
function Transformation_Extract($tr, $j)
{
return gmp_div_q(
gmp_add(gmp_mul($tr[0], $j), $tr[1]),
gmp_add(gmp_mul($tr[2], $j), $tr[3])
);
}
function Transformation_Next(&$tr)
{
$tr[3] = (++$tr[0]<<1) + 1;
$tr[1] = $tr[3]<<1;
$tr[2] = 0;
return $tr;
}
function Pidigit_Next(&$pd, $times)
{
$digits = '';
$z = $pd[0];
do
{
$y = Transformation_Extract($z, 3);
do
{
$z = Transformation_Compose($z, Transformation_Next($pd[1]));
$y = Transformation_Extract($z, 3);
}
while(0 != gmp_cmp(Transformation_Extract($z, 4), $y));
$z = Transformation_Compose2($y, $z);
$digits .= gmp_strval($y);
}
while(--$times);
$pd[0] = $z;
return $digits;
}
$n = (int) $argv[1];
$i = 0;
$pidigit = array(array(1, 0, 0, 1), array(0, 0, 0, 0));
while($n)
{
if($n < 10)
{
printf("%s%s\t:%d\n", Pidigit_Next($pidigit, $n), str_repeat(' ', 10 - $n), $i + $n);
break;
}
else
{
printf("%s\t:%d\n", Pidigit_Next($pidigit, 10), $i += 10);
}
$n -= 10;
}
?>
notes, command-line, and program output
NOTES:
64-bit Ubuntu quad core
PHP 7.4.5 (cli) (built: May 11 2020 13:25:48) ( NTS )
Copyright (c) The PHP Group
Zend Engine v3.4.0, Copyright (c) Zend Technologies
Mon, 11 May 2020 22:10:09 GMT
COMMAND LINE:
/opt/src/php-7.4.5/bin/php -n pidigits.php-2.php 10000
(TRUNCATED) PROGRAM OUTPUT:
3141592653 :10
5897932384 :20
6264338327 :30
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