n-body Chapel #2 program

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

   contributed by Albert Sidelnik and Brad Chamberlain
   derived from the Java version by Mark C. Lewis and Chad Whipkey
*/


config const n = 10000;       // The number of timesteps to simulate

const pi = 3.141592653589793,
      solarMass = 4 * pi**2,
      daysPerYear = 365.24;


//
// a record for representing the position, velocity, and mass of
// bodies in the solar system
//
record body {
  var pos: 3*real;
  var vel: 3*real;
  var mass: real;
}

//
// the array of bodies that we'll be simulating
//
var bodies = [/* sun */
              new body(mass = solarMass),

              /* jupiter */
              new body(pos = ( 4.84143144246472090e+00,
                              -1.16032004402742839e+00,
                              -1.03622044471123109e-01),
                       vel = ( 1.66007664274403694e-03 * daysPerYear,
                               7.69901118419740425e-03 * daysPerYear,
                              -6.90460016972063023e-05 * daysPerYear),
                      mass =   9.54791938424326609e-04 * solarMass),

              /* saturn */
              new body(pos = ( 8.34336671824457987e+00,
                               4.12479856412430479e+00,
                              -4.03523417114321381e-01),
                       vel = (-2.76742510726862411e-03 * daysPerYear,
                               4.99852801234917238e-03 * daysPerYear,
                               2.30417297573763929e-05 * daysPerYear),
                      mass =   2.85885980666130812e-04 * solarMass),

              /* uranus */
              new body(pos = ( 1.28943695621391310e+01,
                              -1.51111514016986312e+01,
                              -2.23307578892655734e-01),
                       vel = ( 2.96460137564761618e-03 * daysPerYear,
                               2.37847173959480950e-03 * daysPerYear,
                              -2.96589568540237556e-05 * daysPerYear),
                      mass =   4.36624404335156298e-05 * solarMass),

              /* neptune */
              new body(pos = ( 1.53796971148509165e+01,
                              -2.59193146099879641e+01,
                               1.79258772950371181e-01),
                       vel = ( 2.68067772490389322e-03 * daysPerYear,
                               1.62824170038242295e-03 * daysPerYear,
                              -9.51592254519715870e-05 * daysPerYear),
                      mass =   5.15138902046611451e-05 * solarMass)
              ];

const numBodies = bodies.size;    // the number of bodies being simulated


proc main() {
  initSun();                      // initialize the sun's velocity

  writef("%.9r\n", energy());     // print the initial energy

  for 1..n do                     // simulate 'n' timesteps
    advance(0.01);

  writef("%.9r\n", energy());     // print the final energy
}

//
// compute the sun's initial velocity
//
proc initSun() {
  const p = + reduce (for b in bodies do (b.vel * b.mass));
  bodies[0].vel = -p / solarMass;
}

//
// advance the positions and velocities of all the bodies
//
proc advance(dt) {
  for i in 0..<numBodies {
    for j in i+1..<numBodies {
      ref b1 = bodies[i],
          b2 = bodies[j];

      const dpos = b1.pos - b2.pos,
            mag = dt / sqrt(sumOfSquares(dpos))**3;

      b1.vel -= dpos * b2.mass * mag;
      b2.vel += dpos * b1.mass * mag;
    }
  }

  for b in bodies do
    b.pos += dt * b.vel;
}

//
// compute the energy of the bodies
//
proc energy() {
  var e = 0.0;

  for i in 0..<numBodies {
    const b1 = bodies[i];

    e += 0.5 * b1.mass * sumOfSquares(b1.vel);

    for j in i+1..<numBodies {
      const b2 = bodies[j];

      e -= (b1.mass * b2.mass) / sqrt(sumOfSquares(b1.pos - b2.pos));
    }
  }

  return e;
}

//
// compute the sum of squares of a 3-tuple's elements
//
inline proc sumOfSquares((x,y,z)) {
  return x**2 + y**2 + z**2;
}
    

NOTES:
64-bit Ubuntu quad core
chpl version 1.22.0
Copyright 2020 Hewlett Packard Enterprise Development LP
Copyright (c) 2004-2019, Cray Inc.


Wed, 06 May 2020 22:44:22 GMT

MAKE:
mv nbody.chapel-2.chapel nbody.chapel-2.chpl
/opt/src/chapel-1.22.0/bin/linux64-x86_64/chpl --target-cpu=core2 --fast nbody.chapel-2.chpl -o nbody.chapel-2.chapel_run
rm nbody.chapel-2.chpl

27.85s to complete and log all make actions

COMMAND LINE:
./nbody.chapel-2.chapel_run --n=50000000

PROGRAM OUTPUT:
-0.169075164
-0.169059907