The Q6600
Benchmarks Game

pidigits PHP #2 program

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
9502884197	:40
1693993751	:50
0582097494	:60
4592307816	:70
4062862089	:80
9862803482	:90
5342117067	:100
9821480865	:110
1328230664	:120
7093844609	:130
5505822317	:140
2535940812	:150
8481117450	:160
2841027019	:170
3852110555	:180
9644622948	:190
9549303819	:200
6442881097	:210
5665933446	:220
1284756482	:230
3378678316	:240
5271201909	:250
1456485669	:260
2346034861	:270
0454326648	:280
2133936072	:290
6024914127	:300
3724587006	:310
6063155881	:320
7488152092	:330
0962829254	:340
0917153643	:350
6789259036	:360
0011330530	:370
5488204665	:380
2138414695	:390
1941511609	:400
4330572703	:410
6575959195	:420
3092186117	:430
3819326117	:440
9310511854	:450
8074462379	:460
9627495673	:470
5188575272	:480
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1830119491	:500
2983367336	:510
2440656643	:520
0860213949	:530
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7190702179	:550
8609437027	:560
7053921717	:570
6293176752	:580
3846748184	:590
6766940513	:600
2000568127	:610
1452635608	:620
2778577134	:630
2757789609	:640
1736371787	:650
2146844090	:660
1224953430	:670
1465495853	:680
7105079227	:690
9689258923	:700
5420199561	:710
1212902196	:720
0864034418	:730
1598136297	:740
7477130996	:750
0518707211	:760
3499999983	:770
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8160963185	:800
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6587533208	:880
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