github.com/razvanm/vanadium-go-1.3@v0.0.0-20160721203343-4a65068e5915/test/bench/shootout/nbody.c

/*
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    * Neither the name of "The Computer Language Benchmarks Game" nor the
    name of "The Computer Language Shootout Benchmarks" nor the names of
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    from this software without specific prior written permission.

THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS IS"
AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
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ARE DISCLAIMED.  IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS BE
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*/

/*
 * The Great Computer Language Shootout
 * http://shootout.alioth.debian.org/
 *
 * contributed by Christoph Bauer
 *
 */

#include <math.h>
#include <stdio.h>
#include <stdlib.h>

#define pi 3.141592653589793
#define solar_mass (4 * pi * pi)
#define days_per_year 365.24

struct planet {
  double x, y, z;
  double vx, vy, vz;
  double mass;
};

void advance(int nbodies, struct planet * bodies, double dt)
{
  int i, j;

  for (i = 0; i < nbodies; i++) {
    struct planet * b = &(bodies[i]);
    for (j = i + 1; j < nbodies; j++) {
      struct planet * b2 = &(bodies[j]);
      double dx = b->x - b2->x;
      double dy = b->y - b2->y;
      double dz = b->z - b2->z;
      double distance = sqrt(dx * dx + dy * dy + dz * dz);
      double mag = dt / (distance * distance * distance);
      b->vx -= dx * b2->mass * mag;
      b->vy -= dy * b2->mass * mag;
      b->vz -= dz * b2->mass * mag;
      b2->vx += dx * b->mass * mag;
      b2->vy += dy * b->mass * mag;
      b2->vz += dz * b->mass * mag;
    }
  }
  for (i = 0; i < nbodies; i++) {
    struct planet * b = &(bodies[i]);
    b->x += dt * b->vx;
    b->y += dt * b->vy;
    b->z += dt * b->vz;
  }
}

double energy(int nbodies, struct planet * bodies)
{
  double e;
  int i, j;

  e = 0.0;
  for (i = 0; i < nbodies; i++) {
    struct planet * b = &(bodies[i]);
    e += 0.5 * b->mass * (b->vx * b->vx + b->vy * b->vy + b->vz * b->vz);
    for (j = i + 1; j < nbodies; j++) {
      struct planet * b2 = &(bodies[j]);
      double dx = b->x - b2->x;
      double dy = b->y - b2->y;
      double dz = b->z - b2->z;
      double distance = sqrt(dx * dx + dy * dy + dz * dz);
      e -= (b->mass * b2->mass) / distance;
    }
  }
  return e;
}

void offset_momentum(int nbodies, struct planet * bodies)
{
  double px = 0.0, py = 0.0, pz = 0.0;
  int i;
  for (i = 0; i < nbodies; i++) {
    px += bodies[i].vx * bodies[i].mass;
    py += bodies[i].vy * bodies[i].mass;
    pz += bodies[i].vz * bodies[i].mass;
  }
  bodies[0].vx = - px / solar_mass;
  bodies[0].vy = - py / solar_mass;
  bodies[0].vz = - pz / solar_mass;
}

#define NBODIES 5
struct planet bodies[NBODIES] = {
  {                               /* sun */
    0, 0, 0, 0, 0, 0, solar_mass
  },
  {                               /* jupiter */
    4.84143144246472090e+00,
    -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
  },
  {                               /* saturn */
    8.34336671824457987e+00,
    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
  },
  {                               /* uranus */
    1.28943695621391310e+01,
    -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
  },
  {                               /* neptune */
    1.53796971148509165e+01,
    -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
  }
};

int main(int argc, char ** argv)
{
  int n = atoi(argv[1]);
  int i;

  offset_momentum(NBODIES, bodies);
  printf ("%.9f\n", energy(NBODIES, bodies));
  for (i = 1; i <= n; i++)
    advance(NBODIES, bodies, 0.01);
  printf ("%.9f\n", energy(NBODIES, bodies));
  return 0;
}