n-body PHP #3 program

<?
/* The Computer Language Benchmarks Game
https://salsa.debian.org/benchmarksgame-team/benchmarksgame/

contributed by anon
modified by Sergey Khripunov
*/

function energy(&$b) {
   $e = 0.0;
   for ($i=0,$m=sizeof($b);$i<$m;$i++) {
       $b1=$b[$i]; 
       $e += 0.5*$b1[6]*($b1[3]*$b1[3]+$b1[4]*$b1[4]+$b1[5]*$b1[5]);
       for ($j=$i+1; $j<$m; $j++) {
	  $b2=$b[$j];
	  $dx=$b1[0]-$b2[0]; $dy=$b1[1]-$b2[1]; $dz=$b1[2]-$b2[2];
	  $e -= ($b1[6]*$b2[6])/sqrt($dx*$dx + $dy*$dy + $dz*$dz);
       }
   }
   return $e;
}

$pi=3.141592653589793;
$solar_mass=4*$pi*$pi;
$days_per_year=365.24;

$bodies = array(array(0.0, 0.0, 0.0, 0.0, 0.0, 0.0, $solar_mass), //Sun
		array(4.84143144246472090E+00, // Jupiter
		      -1.16032004402742839E+00,
		      -1.03622044471123109E-01,
		      1.66007664274403694E-03 * $days_per_year,
		      7.69901118419740425E-03 * $days_per_year,
		      -6.90460016972063023E-05 * $days_per_year,
		      9.54791938424326609E-04 * $solar_mass),
		array(8.34336671824457987E+00, // Saturn
		      4.12479856412430479E+00,
		      -4.03523417114321381E-01,
		      -2.76742510726862411E-03 * $days_per_year,
		      4.99852801234917238E-03 * $days_per_year,
		      2.30417297573763929E-05 * $days_per_year,
		      2.85885980666130812E-04 * $solar_mass),
		array(1.28943695621391310E+01, // Uranus
		      -1.51111514016986312E+01,
		      -2.23307578892655734E-01,
		      2.96460137564761618E-03 * $days_per_year,
		      2.37847173959480950E-03 * $days_per_year,
		      -2.96589568540237556E-05 * $days_per_year,
		      4.36624404335156298E-05 * $solar_mass),
		array(1.53796971148509165E+01, // Neptune
		      -2.59193146099879641E+01,
		      1.79258772950371181E-01,
		      2.68067772490389322E-03 * $days_per_year,
		      1.62824170038242295E-03 * $days_per_year,
		      -9.51592254519715870E-05 * $days_per_year,
		      5.15138902046611451E-05 * $solar_mass));

// offset_momentum
$px=$py=$pz=0.0;
foreach ($bodies as &$e) {
    $px+=$e[3]*$e[6]; 
    $py+=$e[4]*$e[6]; 
    $pz+=$e[5]*$e[6];
} 
$bodies[0][3]=-$px/$solar_mass;
$bodies[0][4]=-$py/$solar_mass;
$bodies[0][5]=-$pz/$solar_mass;

$pairs = array();
for ($i=0,$m=count($bodies); $i<$m; $i++) 
   for ($j=$i+1; $j<$m; $j++) 
      $pairs[] = array(&$bodies[$i], &$bodies[$j]);

$n = $argv[1];

printf("%0.9f\n", energy($bodies));

$i=0; 
do {

    foreach ($pairs as &$p) {
	$a=&$p[0]; $b=&$p[1];
	$dx=$a[0]-$b[0]; $dy=$a[1]-$b[1]; $dz=$a[2]-$b[2];

	$dist = sqrt($dx*$dx + $dy*$dy + $dz*$dz);
	$mag = 0.01/($dist*$dist*$dist);
	$mag_a = $a[6]*$mag; $mag_b = $b[6]*$mag;
	
	$a[3]-=$dx*$mag_b; $a[4]-=$dy*$mag_b; $a[5]-=$dz*$mag_b;
	$b[3]+=$dx*$mag_a; $b[4]+=$dy*$mag_a; $b[5]+=$dz*$mag_a;
    } 

    foreach ($bodies as &$b) {
        $b[0]+=0.01*$b[3]; $b[1]+=0.01*$b[4]; $b[2]+=0.01*$b[5];
    } 

} while(++$i<$n);

printf("%0.9f\n", energy($bodies));

?>
    

NOTES:
64-bit Ubuntu quad core
PHP 8.3.3 (cli)
(built: Mar  3 2024 08:47:21) (NTS)
Copyright (c) The PHP Group
Zend Engine v4.3.3,
with Zend OPcache v8.3.3,
Copyright (c) Zend Technologies


 Sat, 09 Mar 2024 00:00:57 GMT

COMMAND LINE:
 /opt/src/php-8.3.3/bin/php -dzend_extension=/opt/src/php-8.3.3/lib/php/extensions/no-debug-non-zts-20230831/opcache.so -dopcache.enable_cli=1 -dopcache.jit_buffer_size=64M -n  nbody.php-3.php 50000000

PROGRAM OUTPUT:
-0.169075164
-0.169059907