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Toooba/Tests/isa/Cprograms/benchmark/barnes/code.c
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#line 95 "./null_macros/c.m4.null"
#line 1 "code.C"
/*************************************************************************/
/* */
/* Copyright (c) 1994 Stanford University */
/* */
/* All rights reserved. */
/* */
/* Permission is given to use, copy, and modify this software for any */
/* non-commercial purpose as long as this copyright notice is not */
/* removed. All other uses, including redistribution in whole or in */
/* part, are forbidden without prior written permission. */
/* */
/* This software is provided with absolutely no warranty and no */
/* support. */
/* */
/*************************************************************************/
/*
Usage: BARNES <options> < inputfile
Command line options:
-h : Print out input file description
Input parameters should be placed in a file and redirected through
standard input. There are a total of twelve parameters, and all of
them have default values.
1) infile (char*) : The name of an input file that contains particle
data.
The format of the file is:
a) An int representing the number of particles in the distribution
b) An int representing the dimensionality of the problem (3-D)
c) A double representing the current time of the simulation
d) Doubles representing the masses of all the particles
e) A vector (length equal to the dimensionality) of doubles
representing the positions of all the particles
f) A vector (length equal to the dimensionality) of doubles
representing the velocities of all the particles
Each of these numbers can be separated by any amount of whitespace.
2) nbody (int) : If no input file is specified (the first line is
blank), this number specifies the number of particles to generate
under a plummer model. Default is 16384.
3) seed (int) : The seed used by the random number generator.
Default is 123.
4) outfile (char*) : The name of the file that snapshots will be
printed to. This feature has been disabled in the SPLASH release.
Default is NULL.
5) dtime (double) : The integration time-step.
Default is 0.025.
6) eps (double) : The usual potential softening
Default is 0.05.
7) tol (double) : The cell subdivision tolerance.
Default is 1.0.
8) fcells (double) : Number of cells created = fcells * number of
leaves.
Default is 2.0.
9) fleaves (double) : Number of leaves created = fleaves * nbody.
Default is 0.5.
10) tstop (double) : The time to stop integration.
Default is 0.075.
11) dtout (double) : The data-output interval.
Default is 0.25.
12) NPROC (int) : The number of processors.
Default is 1.
*/
#define global /* nada */
#include "code.h"
#include "defs.h"
#include <math.h>
#include <time.h>
#include "malloc.h"
// #define malloc MALLOCCHERI
// #define free FREECHERI
string defv[] = { /* DEFAULT PARAMETER VALUES */
/* file names for input/output */
"in=", /* snapshot of initial conditions */
"out=", /* stream of output snapshots */
/* params, used if no input specified, to make a Plummer Model */
"nbody=16384", /* number of particles to generate */
"seed=123", /* random number generator seed */
/* params to control N-body integration */
"dtime=0.025", /* integration time-step */
"eps=0.05", /* usual potential softening */
"tol=1.0", /* cell subdivision tolerence */
"fcells=2.0", /* cell allocation parameter */
"fleaves=0.5", /* leaf allocation parameter */
"tstop=0.075", /* time to stop integration */
"dtout=0.25", /* data-output interval */
"NPROC=1", /* number of processors */
};
void SlaveStart ();
void stepsystem (unsigned int ProcessId);
void ComputeForces ();
void Help();
FILE *fopen();
void* malloc(size_t);
void free(void*);
main(argc, argv)
int argc;
string argv[];
{
// INITREGULARALLOC(0);
unsigned ProcessId = 0;
int c;
// printf("Run this as\n BARNES < input \n for default values\n");
while ((c = getopt(argc, argv, "h")) != -1) {
switch(c) {
case 'h':
Help();
exit(-1);
break;
default:
// fprintf(stderr, "Only valid option is \"-h\".\n");
exit(-1);
break;
}
}
ANLinit();
initparam(argv, defv);
startrun();
initoutput();
tab_init();
Global->tracktime = 0;
Global->partitiontime = 0;
Global->treebuildtime = 0;
Global->forcecalctime = 0;
/* Create the slave processes: number of processors less one,
since the master will do work as well */
Global->current_id = 0;
// for(ProcessId = 1; ProcessId < NPROC; ProcessId++) {
// {fprintf(stderr, "No more processors -- this is a uniprocessor version!\n"); exit(-1);};
// }
/* Make the master do slave work so we don't waste the processor */
{long time(); (Global->computestart) = time(0);};
// printf("COMPUTESTART = %12u\n",Global->computestart);
SlaveStart();
{long time(); (Global->computeend) = time(0);};
{;};
// printf("COMPUTEEND = %12u\n",Global->computeend);
// printf("COMPUTETIME = %12u\n",Global->computeend - Global->computestart);
// printf("TRACKTIME = %12u\n",Global->tracktime);
// printf("PARTITIONTIME = %12u\t%5.2f\n",Global->partitiontime,
// ((float)Global->partitiontime)/Global->tracktime);
// printf("TREEBUILDTIME = %12u\t%5.2f\n",Global->treebuildtime,
// ((float)Global->treebuildtime)/Global->tracktime);
// printf("FORCECALCTIME = %12u\t%5.2f\n",Global->forcecalctime,
// ((float)Global->forcecalctime)/Global->tracktime);
// printf("RESTTIME = %12u\t%5.2f\n",
// Global->tracktime - Global->partitiontime -
// Global->treebuildtime - Global->forcecalctime,
// ((float)(Global->tracktime-Global->partitiontime-
// Global->treebuildtime-Global->forcecalctime))/
// Global->tracktime);
{exit(0);};
}
/*
* ANLINIT : initialize ANL macros
*/
ANLinit()
{
{;};
/* Allocate global, shared memory */
Global = (struct GlobalMemory *) malloc(sizeof(struct GlobalMemory));;
if (Global==NULL) error("No initialization for Global\n");
{;};
{;};
{;};
{;};
{;};
{;};
{;};
{;};
}
/*
* INIT_ROOT: Processor 0 reinitialize the global root at each time step
*/
init_root (ProcessId)
unsigned int ProcessId;
{
int i;
Global->G_root=Local[0].ctab;
Type(Global->G_root) = CELL;
Done(Global->G_root) = FALSE;
Level(Global->G_root) = IMAX >> 1;
for (i = 0; i < NSUB; i++) {
Subp(Global->G_root)[i] = NULL;
}
Local[0].mynumcell=1;
}
int Log_base_2(number)
int number;
{
int cumulative;
int out;
cumulative = 1;
for (out = 0; out < 20; out++) {
if (cumulative == number) {
return(out);
}
else {
cumulative = cumulative * 2;
}
}
// fprintf(stderr,"Log_base_2: couldn't find log2 of %d\n", number);
exit(-1);
}
/*
* TAB_INIT : allocate body and cell data space
*/
tab_init()
{
cellptr pc;
int i;
char *starting_address, *ending_address;
/*allocate leaf/cell space */
maxleaf = (int) ((double) fleaves * nbody);
maxcell = fcells * maxleaf;
for (i = 0; i < NPROC; ++i) {
Local[i].ctab = (cellptr) malloc((maxcell / NPROC) * sizeof(cell));;
Local[i].ltab = (leafptr) malloc((maxleaf / NPROC) * sizeof(leaf));;
}
/*allocate space for personal lists of body pointers */
maxmybody = (nbody+maxleaf*MAX_BODIES_PER_LEAF)/NPROC;
Local[0].mybodytab = (bodyptr*) malloc(NPROC*maxmybody*sizeof(bodyptr));;
/* space is allocated so that every */
/* process can have a maximum of maxmybody pointers to bodies */
/* then there is an array of bodies called bodytab which is */
/* allocated in the distribution generation or when the distr. */
/* file is read */
maxmycell = maxcell / NPROC;
maxmyleaf = maxleaf / NPROC;
Local[0].mycelltab = (cellptr*) malloc(NPROC*maxmycell*sizeof(cellptr));;
Local[0].myleaftab = (leafptr*) malloc(NPROC*maxmyleaf*sizeof(leafptr));;
CellLock = (struct CellLockType *) malloc(sizeof(struct CellLockType));;
{;};
}
/*
* SLAVESTART: main task for each processor
*/
void SlaveStart()
{
unsigned int ProcessId;
/* Get unique ProcessId */
{;};
ProcessId = Global->current_id++;
{;};
/* POSSIBLE ENHANCEMENT: Here is where one might pin processes to
processors to avoid migration */
/* initialize mybodytabs */
Local[ProcessId].mybodytab = Local[0].mybodytab + (maxmybody * ProcessId);
/* note that every process has its own copy */
/* of mybodytab, which was initialized to the */
/* beginning of the whole array by proc. 0 */
/* before create */
Local[ProcessId].mycelltab = Local[0].mycelltab + (maxmycell * ProcessId);
Local[ProcessId].myleaftab = Local[0].myleaftab + (maxmyleaf * ProcessId);
/* POSSIBLE ENHANCEMENT: Here is where one might distribute the
data across physically distributed memories as desired.
One way to do this is as follows:
int i;
if (ProcessId == 0) {
for (i=0;i<NPROC;i++) {
Place all addresses x such that
&(Local[i]) <= x < &(Local[i])+
sizeof(struct local_memory) on node i
Place all addresses x such that
&(Local[i].mybodytab) <= x < &(Local[i].mybodytab)+
maxmybody * sizeof(bodyptr) - 1 on node i
Place all addresses x such that
&(Local[i].mycelltab) <= x < &(Local[i].mycelltab)+
maxmycell * sizeof(cellptr) - 1 on node i
Place all addresses x such that
&(Local[i].myleaftab) <= x < &(Local[i].myleaftab)+
maxmyleaf * sizeof(leafptr) - 1 on node i
}
}
barrier(Global->Barstart,NPROC);
*/
Local[ProcessId].tout = Local[0].tout;
Local[ProcessId].tnow = Local[0].tnow;
Local[ProcessId].nstep = Local[0].nstep;
find_my_initial_bodies(bodytab, nbody, ProcessId);
/* main loop */
while (Local[ProcessId].tnow < tstop + 0.1 * dtime) {
stepsystem(ProcessId);
}
}
/*
* STARTRUN: startup hierarchical N-body code.
*/
startrun()
{
string getparam();
int getiparam();
bool getbparam();
double getdparam();
int seed;
infile = getparam("in");
if (*infile != NULL) {
inputdata();
}
else {
nbody = getiparam("nbody");
if (nbody < 1) {
error("startrun: absurd nbody\n");
}
seed = getiparam("seed");
}
outfile = getparam("out");
dtime = getdparam("dtime");
dthf = 0.5 * dtime;
eps = getdparam("eps");
epssq = eps*eps;
tol = getdparam("tol");
tolsq = tol*tol;
fcells = getdparam("fcells");
fleaves = getdparam("fleaves");
tstop = getdparam("tstop");
dtout = getdparam("dtout");
NPROC = getiparam("NPROC");
Local[0].nstep = 0;
pranset(seed);
testdata();
setbound();
Local[0].tout = Local[0].tnow + dtout;
}
/*
* TESTDATA: generate Plummer model initial conditions for test runs,
* scaled to units such that M = -4E = G = 1 (Henon, Hegge, etc).
* See Aarseth, SJ, Henon, M, & Wielen, R (1974) Astr & Ap, 37, 183.
*/
#define MFRAC 0.999 /* mass cut off at MFRAC of total */
testdata()
{
real rsc, vsc, sqrt(), xrand(), pow(), rsq, r, v, x, y;
vector cmr, cmv;
register bodyptr p;
int rejects = 0;
int k;
int halfnbody, i;
float offset;
register bodyptr cp;
double tmp;
headline = "Hack code: Plummer model";
Local[0].tnow = 0.0;
bodytab = (bodyptr) malloc(nbody * sizeof(body));;
if (bodytab == NULL) {
error("testdata: not enuf memory\n");
}
rsc = 9 * PI / 16;
vsc = sqrt(1.0 / rsc);
CLRV(cmr);
CLRV(cmv);
halfnbody = nbody / 2;
if (nbody % 2 != 0) halfnbody++;
for (p = bodytab; p < bodytab+halfnbody; p++) {
Type(p) = BODY;
Mass(p) = 1.0 / nbody;
Cost(p) = 1;
r = 1 / sqrt(pow(xrand(0.0, MFRAC), -2.0/3.0) - 1);
/* reject radii greater than 10 */
while (r > 9.0) {
rejects++;
r = 1 / sqrt(pow(xrand(0.0, MFRAC), -2.0/3.0) - 1);
}
pickshell(Pos(p), rsc * r);
ADDV(cmr, cmr, Pos(p));
do {
x = xrand(0.0, 1.0);
y = xrand(0.0, 0.1);
} while (y > x*x * pow(1 - x*x, 3.5));
v = sqrt(2.0) * x / pow(1 + r*r, 0.25);
pickshell(Vel(p), vsc * v);
ADDV(cmv, cmv, Vel(p));
}
offset = 4.0;
for (p = bodytab + halfnbody; p < bodytab+nbody; p++) {
Type(p) = BODY;
Mass(p) = 1.0 / nbody;
Cost(p) = 1;
cp = p - halfnbody;
for (i = 0; i < NDIM; i++){
Pos(p)[i] = Pos(cp)[i] + offset;
ADDV(cmr, cmr, Pos(p));
Vel(p)[i] = Vel(cp)[i];
ADDV(cmv, cmv, Vel(p));
}
}
DIVVS(cmr, cmr, (real) nbody);
DIVVS(cmv, cmv, (real) nbody);
for (p = bodytab; p < bodytab+nbody; p++) {
SUBV(Pos(p), Pos(p), cmr);
SUBV(Vel(p), Vel(p), cmv);
}
}
/*
* PICKSHELL: pick a random point on a sphere of specified radius.
*/
pickshell(vec, rad)
real vec[]; /* coordinate vector chosen */
real rad; /* radius of chosen point */
{
register int k;
double rsq, xrand(), sqrt(), rsc;
do {
for (k = 0; k < NDIM; k++) {
vec[k] = xrand(-1.0, 1.0);
}
DOTVP(rsq, vec, vec);
} while (rsq > 1.0);
rsc = rad / sqrt(rsq);
MULVS(vec, vec, rsc);
}
int intpow(i,j)
int i,j;
{
int k;
int temp = 1;
for (k = 0; k < j; k++)
temp = temp*i;
return temp;
}
/*
* STEPSYSTEM: advance N-body system one time-step.
*/
void
stepsystem (ProcessId)
unsigned int ProcessId;
{
int i;
real Cavg;
bodyptr p,*pp;
vector acc1, dacc, dvel, vel1, dpos;
int intpow();
unsigned int time;
unsigned int trackstart, trackend;
unsigned int partitionstart, partitionend;
unsigned int treebuildstart, treebuildend;
unsigned int forcecalcstart, forcecalcend;
if (Local[ProcessId].nstep == 2) {
/* POSSIBLE ENHANCEMENT: Here is where one might reset the
statistics that one is measuring about the parallel execution */
}
if ((ProcessId == 0) && (Local[ProcessId].nstep >= 2)) {
{long time(); (trackstart) = time(0);};
}
if (ProcessId == 0) {
init_root(ProcessId);
}
else {
Local[ProcessId].mynumcell = 0;
Local[ProcessId].mynumleaf = 0;
}
/* start at same time */
{;};
if ((ProcessId == 0) && (Local[ProcessId].nstep >= 2)) {
{long time(); (treebuildstart) = time(0);};
}
/* load bodies into tree */
maketree(ProcessId);
if ((ProcessId == 0) && (Local[ProcessId].nstep >= 2)) {
{long time(); (treebuildend) = time(0);};
Global->treebuildtime += treebuildend - treebuildstart;
}
Housekeep(ProcessId);
Cavg = (real) Cost(Global->G_root) / (real)NPROC ;
Local[ProcessId].workMin = (int) (Cavg * ProcessId);
Local[ProcessId].workMax = (int) (Cavg * (ProcessId + 1)
+ (ProcessId == (NPROC - 1)));
if ((ProcessId == 0) && (Local[ProcessId].nstep >= 2)) {
{long time(); (partitionstart) = time(0);};
}
Local[ProcessId].mynbody = 0;
find_my_bodies(Global->G_root, 0, BRC_FUC, ProcessId );
/* B*RRIER(Global->Barcom,NPROC); */
if ((ProcessId == 0) && (Local[ProcessId].nstep >= 2)) {
{long time(); (partitionend) = time(0);};
Global->partitiontime += partitionend - partitionstart;
}
if ((ProcessId == 0) && (Local[ProcessId].nstep >= 2)) {
{long time(); (forcecalcstart) = time(0);};
}
ComputeForces(ProcessId);
if ((ProcessId == 0) && (Local[ProcessId].nstep >= 2)) {
{long time(); (forcecalcend) = time(0);};
Global->forcecalctime += forcecalcend - forcecalcstart;
}
/* advance my bodies */
for (pp = Local[ProcessId].mybodytab;
pp < Local[ProcessId].mybodytab+Local[ProcessId].mynbody; pp++) {
p = *pp;
MULVS(dvel, Acc(p), dthf);
ADDV(vel1, Vel(p), dvel);
MULVS(dpos, vel1, dtime);
ADDV(Pos(p), Pos(p), dpos);
ADDV(Vel(p), vel1, dvel);
for (i = 0; i < NDIM; i++) {
if (Pos(p)[i]<Local[ProcessId].min[i]) {
Local[ProcessId].min[i]=Pos(p)[i];
}
if (Pos(p)[i]>Local[ProcessId].max[i]) {
Local[ProcessId].max[i]=Pos(p)[i] ;
}
}
}
{;};
for (i = 0; i < NDIM; i++) {
if (Global->min[i] > Local[ProcessId].min[i]) {
Global->min[i] = Local[ProcessId].min[i];
}
if (Global->max[i] < Local[ProcessId].max[i]) {
Global->max[i] = Local[ProcessId].max[i];
}
}
{;};
/* bar needed to make sure that every process has computed its min */
/* and max coordinates, and has accumulated them into the global */
/* min and max, before the new dimensions are computed */
{;};
if ((ProcessId == 0) && (Local[ProcessId].nstep >= 2)) {
{long time(); (trackend) = time(0);};
Global->tracktime += trackend - trackstart;
}
if (ProcessId==0) {
Global->rsize=0;
SUBV(Global->max,Global->max,Global->min);
for (i = 0; i < NDIM; i++) {
if (Global->rsize < Global->max[i]) {
Global->rsize = Global->max[i];
}
}
ADDVS(Global->rmin,Global->min,-Global->rsize/100000.0);
Global->rsize = 1.00002*Global->rsize;
SETVS(Global->min,1E99);
SETVS(Global->max,-1E99);
}
Local[ProcessId].nstep++;
Local[ProcessId].tnow = Local[ProcessId].tnow + dtime;
}
void
ComputeForces (ProcessId)
unsigned int ProcessId;
{
bodyptr p,*pp;
vector acc1, dacc, dvel, vel1, dpos;
for (pp = Local[ProcessId].mybodytab;
pp < Local[ProcessId].mybodytab+Local[ProcessId].mynbody;pp++) {
p = *pp;
SETV(acc1, Acc(p));
Cost(p)=0;
hackgrav(p,ProcessId);
Local[ProcessId].myn2bcalc += Local[ProcessId].myn2bterm;
Local[ProcessId].mynbccalc += Local[ProcessId].mynbcterm;
if (!Local[ProcessId].skipself) { /* did we miss self-int? */
Local[ProcessId].myselfint++; /* count another goofup */
}
if (Local[ProcessId].nstep > 0) {
/* use change in accel to make 2nd order correction to vel */
SUBV(dacc, Acc(p), acc1);
MULVS(dvel, dacc, dthf);
ADDV(Vel(p), Vel(p), dvel);
}
}
}
/*
* FIND_MY_INITIAL_BODIES: puts into mybodytab the initial list of bodies
* assigned to the processor.
*/
find_my_initial_bodies(btab, nbody, ProcessId)
bodyptr btab;
int nbody;
unsigned int ProcessId;
{
int Myindex;
int intpow();
int equalbodies;
int extra,offset,i;
Local[ProcessId].mynbody = nbody / NPROC;
extra = nbody % NPROC;
if (ProcessId < extra) {
Local[ProcessId].mynbody++;
offset = Local[ProcessId].mynbody * ProcessId;
}
if (ProcessId >= extra) {
offset = (Local[ProcessId].mynbody+1) * extra + (ProcessId - extra)
* Local[ProcessId].mynbody;
}
for (i=0; i < Local[ProcessId].mynbody; i++) {
Local[ProcessId].mybodytab[i] = &(btab[offset+i]);
}
{;};
}
find_my_bodies(mycell, work, direction, ProcessId)
nodeptr mycell;
int work;
int direction;
unsigned ProcessId;
{
int i;
leafptr l;
nodeptr qptr;
if (Type(mycell) == LEAF) {
l = (leafptr) mycell;
for (i = 0; i < l->num_bodies; i++) {
if (work >= Local[ProcessId].workMin - .1) {
if((Local[ProcessId].mynbody+2) > maxmybody) {
error("find_my_bodies: Processor %d needs more than %d bodies; increase fleaves\n",ProcessId, maxmybody);
}
Local[ProcessId].mybodytab[Local[ProcessId].mynbody++] =
Bodyp(l)[i];
}
work += Cost(Bodyp(l)[i]);
if (work >= Local[ProcessId].workMax-.1) {
break;
}
}
}
else {
for(i = 0; (i < NSUB) && (work < (Local[ProcessId].workMax - .1)); i++){
qptr = Subp(mycell)[Child_Sequence[direction][i]];
if (qptr!=NULL) {
if ((work+Cost(qptr)) >= (Local[ProcessId].workMin -.1)) {
find_my_bodies(qptr,work, Direction_Sequence[direction][i],
ProcessId);
}
work += Cost(qptr);
}
}
}
}
/*
* HOUSEKEEP: reinitialize the different variables (in particular global
* variables) between each time step.
*/
Housekeep(ProcessId)
unsigned ProcessId;
{
Local[ProcessId].myn2bcalc = Local[ProcessId].mynbccalc
= Local[ProcessId].myselfint = 0;
SETVS(Local[ProcessId].min,1E99);
SETVS(Local[ProcessId].max,-1E99);
}
/*
* SETBOUND: Compute the initial size of the root of the tree; only done
* before first time step, and only processor 0 does it
*/
setbound()
{
int i;
real side ;
bodyptr p;
SETVS(Local[0].min,1E99);
SETVS(Local[0].max,-1E99);
side=0;
for (p = bodytab; p < bodytab+nbody; p++) {
for (i=0; i<NDIM;i++) {
if (Pos(p)[i]<Local[0].min[i]) Local[0].min[i]=Pos(p)[i] ;
if (Pos(p)[i]>Local[0].max[i]) Local[0].max[i]=Pos(p)[i] ;
}
}
SUBV(Local[0].max,Local[0].max,Local[0].min);
for (i=0; i<NDIM;i++) if (side<Local[0].max[i]) side=Local[0].max[i];
ADDVS(Global->rmin,Local[0].min,-side/100000.0);
Global->rsize = 1.00002*side;
SETVS(Global->max,-1E99);
SETVS(Global->min,1E99);
}
// void
// Help ()
// {
// printf("There are a total of twelve parameters, and all of them have default values.\n");
// printf("\n");
// printf("1) infile (char*) : The name of an input file that contains particle data. \n");
// printf(" The format of the file is:\n");
// printf("\ta) An int representing the number of particles in the distribution\n");
// printf("\tb) An int representing the dimensionality of the problem (3-D)\n");
// printf("\tc) A double representing the current time of the simulation\n");
// printf("\td) Doubles representing the masses of all the particles\n");
// printf("\te) A vector (length equal to the dimensionality) of doubles\n");
// printf("\t representing the positions of all the particles\n");
// printf("\tf) A vector (length equal to the dimensionality) of doubles\n");
// printf("\t representing the velocities of all the particles\n");
// printf("\n");
// printf(" Each of these numbers can be separated by any amount of whitespace.\n");
// printf("\n");
// printf("2) nbody (int) : If no input file is specified (the first line is blank), this\n");
// printf(" number specifies the number of particles to generate under a plummer model.\n");
// printf(" Default is 16384.\n");
// printf("\n");
// printf("3) seed (int) : The seed used by the random number generator.\n");
// printf(" Default is 123.\n");
// printf("\n");
// printf("4) outfile (char*) : The name of the file that snapshots will be printed to. \n");
// printf(" This feature has been disabled in the SPLASH release.\n");
// printf(" Default is NULL.\n");
// printf("\n");
// printf("5) dtime (double) : The integration time-step.\n");
// printf(" Default is 0.025.\n");
// printf("\n");
// printf("6) eps (double) : The usual potential softening\n");
// printf(" Default is 0.05.\n");
// printf("\n");
// printf("7) tol (double) : The cell subdivision tolerance.\n");
// printf(" Default is 1.0.\n");
// printf("\n");
// printf("8) fcells (double) : The total number of cells created is equal to \n");
// printf(" fcells * number of leaves.\n");
// printf(" Default is 2.0.\n");
// printf("\n");
// printf("9) fleaves (double) : The total number of leaves created is equal to \n");
// printf(" fleaves * nbody.\n");
// printf(" Default is 0.5.\n");
// printf("\n");
// printf("10) tstop (double) : The time to stop integration.\n");
// printf(" Default is 0.075.\n");
// printf("\n");
// printf("11) dtout (double) : The data-output interval.\n");
// printf(" Default is 0.25.\n");
// printf("\n");
// printf("12) NPROC (int) : The number of processors.\n");
// printf(" Default is 1.\n");
// }