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BeefySysLib/perf_tests/nbody.cpp
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136
BeefySysLib/perf_tests/nbody.cpp
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#include <math.h>
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#include <stdio.h>
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#include <stdlib.h>
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#include "Common.h"
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#define pi 3.141592653589793
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#define solar_mass (4 * pi * pi)
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#define days_per_year 365.24
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struct planet {
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double x, y, z;
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double vx, vy, vz;
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double mass;
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};
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void advance(int nbodies, struct planet * bodies, double dt)
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{
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int i, j;
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for (i = 0; i < nbodies; i++) {
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struct planet * b = &(bodies[i]);
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for (j = i + 1; j < nbodies; j++) {
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struct planet * b2 = &(bodies[j]);
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double dx = b->x - b2->x;
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double dy = b->y - b2->y;
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double dz = b->z - b2->z;
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double distance = sqrt(dx * dx + dy * dy + dz * dz);
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double mag = dt / (distance * distance * distance);
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b->vx -= dx * b2->mass * mag;
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b->vy -= dy * b2->mass * mag;
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b->vz -= dz * b2->mass * mag;
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b2->vx += dx * b->mass * mag;
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b2->vy += dy * b->mass * mag;
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b2->vz += dz * b->mass * mag;
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}
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}
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for (i = 0; i < nbodies; i++) {
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struct planet * b = &(bodies[i]);
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b->x += dt * b->vx;
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b->y += dt * b->vy;
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b->z += dt * b->vz;
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}
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}
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double energy(int nbodies, struct planet * bodies)
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{
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double e;
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int i, j;
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e = 0.0;
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for (i = 0; i < nbodies; i++) {
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struct planet * b = &(bodies[i]);
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e += 0.5 * b->mass * (b->vx * b->vx + b->vy * b->vy + b->vz * b->vz);
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for (j = i + 1; j < nbodies; j++) {
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struct planet * b2 = &(bodies[j]);
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double dx = b->x - b2->x;
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double dy = b->y - b2->y;
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double dz = b->z - b2->z;
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double distance = sqrt(dx * dx + dy * dy + dz * dz);
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e -= (b->mass * b2->mass) / distance;
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}
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}
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return e;
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}
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void offset_momentum(int nbodies, struct planet * bodies)
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{
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double px = 0.0, py = 0.0, pz = 0.0;
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int i;
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for (i = 0; i < nbodies; i++) {
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px += bodies[i].vx * bodies[i].mass;
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py += bodies[i].vy * bodies[i].mass;
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pz += bodies[i].vz * bodies[i].mass;
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}
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bodies[0].vx = -px / solar_mass;
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bodies[0].vy = -py / solar_mass;
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bodies[0].vz = -pz / solar_mass;
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}
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#define NBODIES 5
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struct planet orig_bodies[NBODIES] = {
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{ /* sun */
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0, 0, 0, 0, 0, 0, solar_mass
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},
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{ /* jupiter */
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4.84143144246472090e+00,
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-1.16032004402742839e+00,
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-1.03622044471123109e-01,
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1.66007664274403694e-03 * days_per_year,
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7.69901118419740425e-03 * days_per_year,
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-6.90460016972063023e-05 * days_per_year,
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9.54791938424326609e-04 * solar_mass
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},
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{ /* saturn */
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8.34336671824457987e+00,
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4.12479856412430479e+00,
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-4.03523417114321381e-01,
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-2.76742510726862411e-03 * days_per_year,
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4.99852801234917238e-03 * days_per_year,
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2.30417297573763929e-05 * days_per_year,
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2.85885980666130812e-04 * solar_mass
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},
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{ /* uranus */
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1.28943695621391310e+01,
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-1.51111514016986312e+01,
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-2.23307578892655734e-01,
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2.96460137564761618e-03 * days_per_year,
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2.37847173959480950e-03 * days_per_year,
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-2.96589568540237556e-05 * days_per_year,
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4.36624404335156298e-05 * solar_mass
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},
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{ /* neptune */
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1.53796971148509165e+01,
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-2.59193146099879641e+01,
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1.79258772950371181e-01,
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2.68067772490389322e-03 * days_per_year,
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1.62824170038242295e-03 * days_per_year,
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-9.51592254519715870e-05 * days_per_year,
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5.15138902046611451e-05 * solar_mass
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}
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};
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struct planet bodies[NBODIES];
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void NBody(int n)
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{
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int i;
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memcpy(bodies, orig_bodies, sizeof(orig_bodies));
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offset_momentum(NBODIES, bodies);
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printf("%.9f\n", energy(NBODIES, bodies));
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for (i = 1; i <= n; i++)
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advance(NBODIES, bodies, 0.01);
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printf("%.9f\n", energy(NBODIES, bodies));
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}
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