/*
 * 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, 1.0 /*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 */
  }
};

void setup_bodies(void)
{
  int i;
  for (i = 0; i < NBODIES; i++) {
    bodies[i].vx *= days_per_year;
    bodies[i].vy *= days_per_year;
    bodies[i].vz *= days_per_year;
    bodies[i].mass *= solar_mass;
  }
}

int main(int argc, char ** argv)
{
  int n = argc < 2 ? 1000000 : atoi(argv[1]);
  int i;

  setup_bodies();
  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;
}

/***
 build & benchmark results

BUILD COMMANDS FOR: nbody.gcc

Thu Jul 27 22:22:05 PDT 2006

/usr/bin/gcc -pipe -Wall -O3 -fomit-frame-pointer -funroll-loops -march=pentium4 -lm nbody.c -o nbody.gcc_run

=================================================================
COMMAND LINE (%A is single numeric argument):

nbody.gcc_run %A

N=200000 2000000 20000000
PROGRAM OUTPUT
==============
-0.169075164
-0.169031665
***/
