Update of /cvsroot/pure-data/externals/boids/boids2d
In directory sc8-pr-cvs1.sourceforge.net:/tmp/cvs-serv20209
Modified Files:
boids2d.c
Log Message:
boids2d-help.pd boids2d.c makefile
Index: boids2d.c
===================================================================
RCS file: /cvsroot/pure-data/externals/boids/boids2d/boids2d.c,v
retrieving revision 1.2
retrieving revision 1.3
diff -C2 -d -r1.2 -r1.3
*** boids2d.c 31 Mar 2007 17:18:34 -0000 1.2
--- boids2d.c 2 Apr 2007 16:00:08 -0000 1.3
***************
*** 1 ****
! /*
boids2d 08/2005 a.sier / jasch adapted from boids by eric singer © 1995-2003 eric l. singer
free for non-commercial use
*/
#include "m_pd.h"
#include <stdlib.h>
#include <math.h>
// constants
#define kAssistInlet 1
#define kAssistOutlet 2
#define kMaxLong 0xFFFFFFFF
#define kMaxNeighbors 4
// util
#define MAX(a,b) ((a)>(b)?(a):(b))
#define CLIP(x,a,b) (x)=(x)<(a)?(a):(x)>(b)?(b):(x)
// initial flight parameters
const short kNumBoids = 12; // number of boids
const short kNumNeighbors = 2; // must be <= kMaxNeighbors
const double kMinSpeed = 0.15; // boids' minimum speed
const double kMaxSpeed = 0.25; // boids' maximum speed
const double kCenterWeight = 0.25; // flock centering
const double kAttractWeight = 0.300;// attraction point seeking
const double kMatchWeight = 0.100;// neighbors velocity matching
const double kAvoidWeight = 0.10; // neighbors avoidance
const double kWallsWeight = 0.500;// wall avoidance [210]
const double kEdgeDist = 0.5; // vision distance to avoid wall edges [5]
const double kSpeedupFactor = 0.100;// alter animation speed
const double kInertiaFactor = 0.20; // willingness to change speed & direction
const double kAccelFactor = 0.100;// neighbor avoidance accelerate or decelerate rate
const double kPrefDist = 0.25; // preferred distance from neighbors
const double kFlyRectTop = 1.0; // fly rect boundaries
const double kFlyRectLeft = -1.0;
const double kFlyRectBottom = -1.0;
const double kFlyRectRight = 1.0;
// const double kFlyRectFront = 1.0;
// const double kFlyRectBack = -1.0;
// typedefs
typedef struct Velocity {
double x;
double y;
// double z;
} Velocity;
typedef struct Point2d {
double x;
double y;
// double z;
} Point2d;
typedef struct Box3D {
double left, right;
double top, bottom;
// double front, back;
} Box3D;
typedef struct _Boid {
Point2d oldPos;
Point2d newPos;
Velocity oldDir;
Velocity newDir;
double speed;
short neighbor[kMaxNeighbors];
double neighborDistSqr[kMaxNeighbors];
} t_one_boid, *BoidPtr;
typedef struct _FlockObject {
t_object ob;
void *out1, *out2;
short mode;
long numBoids;
long numNeighbors;
Box3D flyRect;
double minSpeed;
double maxSpeed;
double centerWeight;
double attractWeight;
double matchWeight;
double avoidWeight;
double wallsWeight;
double edgeDist;
double speedupFactor;
double inertiaFactor;
double accelFactor;
double prefDist;
double prefDistSqr;
Point2d centerPt;
Point2d attractPt;
BoidPtr boid;
double d2r, r2d;
} t_boids, *FlockPtr;
// variables
// void *flock;
t_symbol *ps_nothing;
// prototypes
void *boids2d_class;
void *Flock_new(t_symbol *s, long argc, t_atom *argv);
void Flock_free(t_boids *x);
void Flock_bang(t_boids *x);
void Flock_dump(t_boids *x);
void Flock_mode(t_boids *x, t_float arg);
void Flock_numNeighbors(t_boids *x, t_float arg);
void Flock_numBoids(t_boids *x, t_float arg);
void Flock_minSpeed(t_boids *x, t_float arg);
void Flock_maxSpeed(t_boids *x, t_float arg);
void Flock_centerWeight(t_boids *x, t_float arg);
void Flock_attractWeight(t_boids *x, t_float arg);
void Flock_matchWeight(t_boids *x, t_float arg);
void Flock_avoidWeight(t_boids *x, t_float arg);
void Flock_wallsWeight(t_boids *x, t_float arg);
void Flock_edgeDist(t_boids *x, t_float arg);
void Flock_speedupFactor(t_boids *x, t_float arg);
void Flock_inertiaFactor(t_boids *x, t_float arg);
void Flock_accelFactor(t_boids *x, t_float arg);
void Flock_prefDist(t_boids *x, t_float arg);
void Flock_flyRect(t_boids *x, t_symbol *msg, short argc, t_atom *argv);
void Flock_attractPt(t_boids *x, t_symbol *msg, short argc, t_atom *argv);
void Flock_reset(t_boids *x);
void Flock_resetBoids(t_boids *x);
void InitFlock(t_boids *x);
void FlightStep(t_boids *x);
Point2d FindFlockCenter(t_boids *x);
float MatchAndAvoidNeighbors(t_boids *x, short theBoid, Velocity *matchNeighborVel, Velocity *avoidNeighborVel);
Velocity SeekPoint(t_boids *x, short theBoid, Point2d seekPt);
Velocity AvoidWalls(t_boids *x, short theBoid);
int InFront(BoidPtr theBoid, BoidPtr neighbor);
void NormalizeVelocity(Velocity *direction);
double RandomInt(double minRange, double maxRange);
double DistSqrToPt(Point2d firstPoint, Point2d secondPoint);
void boids2d_setup(void)
{
boids2d_class = class_new(gensym("boids2d"), (t_newmethod)Flock_new,
(t_method)Flock_free, sizeof(t_boids), 0, A_GIMME, 0);
/* setup((t_messlist **) &flock, (method)Flock_new, (method)Flock_free, (short) sizeof(FlockObject), 0L, A_LONG, A_DEFLONG, 0); */
class_addfloat(boids2d_class, (t_method) Flock_numBoids);
class_addbang(boids2d_class, (t_method) Flock_bang);
class_addmethod(boids2d_class, (t_method) Flock_numNeighbors, gensym("neighbors"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_numBoids, gensym("number"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_mode, gensym("mode"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_minSpeed, gensym("minspeed"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_maxSpeed, gensym("maxspeed"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_centerWeight, gensym("center"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_attractWeight, gensym("attract"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_matchWeight, gensym("match"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_avoidWeight, gensym("avoid"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_wallsWeight, gensym("repel"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_edgeDist, gensym("edgedist"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_speedupFactor, gensym("speed"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_inertiaFactor, gensym("inertia"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_accelFactor, gensym("accel"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_prefDist, gensym("prefdist"), A_FLOAT, 0);
class_addmethod(boids2d_class, (t_method) Flock_flyRect, gensym("flyrect"), A_GIMME, 0);
class_addmethod(boids2d_class, (t_method) Flock_attractPt, gensym("attractpt"), A_GIMME, 0);
class_addmethod(boids2d_class, (t_method) Flock_resetBoids, gensym("reset"), 0);
class_addmethod(boids2d_class, (t_method) Flock_reset, gensym("init"), 0);
class_addmethod(boids2d_class, (t_method) Flock_dump, gensym("dump"), 0);
post("boids2d 2005-2006 a.sier / jasch © 1995-2003 eric l. singer "__DATE__" "__TIME__);
ps_nothing = gensym("");
}
void *Flock_new(t_symbol *s, long argc, t_atom *argv)
{
t_boids *x = (t_boids *)pd_new(boids2d_class);
x->out1 = outlet_new(&x->ob, NULL);
x->out2 = outlet_new(&x->ob, NULL);
x->numBoids = 16;
if((argc >= 1) && (argv[0].a_type == A_FLOAT)){
x->numBoids = argv[0].a_w.w_float;
}
x->boid = (t_one_boid *)malloc(sizeof(t_one_boid) * x->numBoids);
InitFlock(x);
x->mode = 0;
if((argc >= 2) && (argv[1].a_type == A_FLOAT)){
x->mode = (short)(CLIP(argv[1].a_w.w_float, 0, 2));
}
x->d2r = 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068/180.0;
x->r2d = 180.0/3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068;
return(x);
}
void Flock_free(t_boids *x)
{
free(x->boid);
}
void Flock_bang(t_boids *x)
{
short i;
t_atom outlist[10];
t_atom *out;
double tempNew_x, tempNew_y;
double tempOld_x, tempOld_y;
double delta_x, delta_y;
double azi, speed;
// double tempspeed;
out = outlist;
FlightStep(x);
switch(x->mode) { // newpos
case 0:
for (i = 0; i < x->numBoids; i++){
SETFLOAT(out+0, i);
SETFLOAT(out+1, x->boid[i].newPos.x);
SETFLOAT(out+2, x->boid[i].newPos.y);
// SETFLOAT(out+3, x->boid[i].newPos.z);
outlet_list(x->out1, 0L, 3, out);
}
break;
case 1: //newpos + oldpos
for (i = 0; i < x->numBoids; i++){
SETFLOAT(out+0, i);
SETFLOAT(out+1, x->boid[i].newPos.x);
SETFLOAT(out+2, x->boid[i].newPos.y);
// SETFLOAT(out+3, x->boid[i].newPos.z);
SETFLOAT(out+3, x->boid[i].oldPos.x);
SETFLOAT(out+4, x->boid[i].oldPos.y);
// SETFLOAT(out+6, x->boid[i].oldPos.z);
outlet_list(x->out1, 0L, 5, out);
}
break;
case 2:
for (i = 0; i < x->numBoids; i++){
tempNew_x = x->boid[i].newPos.x;
tempNew_y = x->boid[i].newPos.y;
// tempNew_z = x->boid[i].newPos.z;
tempOld_x = x->boid[i].oldPos.x;
tempOld_y = x->boid[i].oldPos.y;
// tempOld_z = x->boid[i].oldPos.z;
delta_x = tempNew_x - tempOld_x;
delta_y = tempNew_y - tempOld_y;
// delta_z = tempNew_z - tempOld_z;
azi = atan2(delta_y, delta_x) * x->r2d;
// ele = atan2(delta_y, delta_x) * x->r2d;
speed = sqrt(delta_x * delta_x + delta_y * delta_y);// + delta_z * delta_z);
SETFLOAT(out+0, i);
SETFLOAT(out+1, tempNew_x);
SETFLOAT(out+2, tempNew_y);
// SETFLOAT(out+3, tempNew_z);
SETFLOAT(out+3, tempOld_x);
SETFLOAT(out+4, tempOld_y);
// SETFLOAT(out+6, tempOld_z);
SETFLOAT(out+5, speed);
SETFLOAT(out+6, azi);
// SETFLOAT(out+9, ele);
outlet_list(x->out1, 0L, 7, out);
}
break;
}
}
void Flock_dump(t_boids *x)
{
t_atom outList[6];
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->numNeighbors;
outlet_anything(x->out2, gensym("neighbors"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->minSpeed;
outlet_anything(x->out2, gensym("minspeed"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->maxSpeed;
outlet_anything(x->out2, gensym("maxspeed"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->centerWeight;
outlet_anything(x->out2, gensym("center"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->attractWeight;
outlet_anything(x->out2, gensym("attract"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->matchWeight;
outlet_anything(x->out2, gensym("match"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->avoidWeight;
outlet_anything(x->out2, gensym("avoid"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->wallsWeight;
outlet_anything(x->out2, gensym("repel"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->edgeDist;
outlet_anything(x->out2, gensym("edgedist"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->speedupFactor;
outlet_anything(x->out2, gensym("speed"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->inertiaFactor;
outlet_anything(x->out2, gensym("inertia"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->accelFactor;
outlet_anything(x->out2, gensym("accel"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->prefDist;
outlet_anything(x->out2, gensym("prefdist"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->flyRect.left;
outList[1].a_type = A_FLOAT;
outList[1].a_w.w_float = x->flyRect.top;
outList[2].a_type = A_FLOAT;
outList[2].a_w.w_float = x->flyRect.right;
outList[3].a_type = A_FLOAT;
outList[3].a_w.w_float = x->flyRect.bottom;
/*outList[4].a_type = A_FLOAT;
outList[4].a_w.w_float = x->flyRect.front;
outList[5].a_type = A_FLOAT;
outList[5].a_w.w_float = x->flyRect.back;*/
outlet_anything(x->out2, gensym("flyrect"), 4, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->attractPt.x;
outList[1].a_type = A_FLOAT;
outList[1].a_w.w_float = x->attractPt.y;
/*outList[2].a_type = A_FLOAT;
outList[2].a_w.w_float = x->attractPt.z;*/
outlet_anything(x->out2, gensym("attractpt"), 2, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->mode;
outlet_anything(x->out2, gensym("mode"), 1, outList);
outList[0].a_type = A_FLOAT;
outList[0].a_w.w_float = x->numBoids;
outlet_anything(x->out2, gensym("number"), 1, outList);
}
void Flock_mode(t_boids *x, t_float arg)
{
long m = (long)arg;
x->mode = CLIP(m, 0, 2);
}
void Flock_numNeighbors(t_boids *x, t_float arg)
{
x->numNeighbors = (long)arg;
}
void Flock_numBoids(t_boids *x, t_float arg)
{
x->boid = (t_one_boid *)realloc(x->boid, sizeof(t_one_boid) * (long)arg);
x->numBoids = (long)arg;
Flock_resetBoids(x);
}
void Flock_minSpeed(t_boids *x, t_float arg)
{
x->minSpeed = MAX(arg, 0.000001);
}
void Flock_maxSpeed(t_boids *x, t_float arg)
{
x->maxSpeed = arg;
}
void Flock_centerWeight(t_boids *x, t_float arg)
{
x->centerWeight = arg;
}
void Flock_attractWeight(t_boids *x, t_float arg)
{
x->attractWeight = arg;
}
void Flock_matchWeight(t_boids *x, t_float arg)
{
x->matchWeight = arg;
}
void Flock_avoidWeight(t_boids *x, t_float arg)
{
x->avoidWeight = arg;
}
void Flock_wallsWeight(t_boids *x, t_float arg)
{
x->wallsWeight = arg;
}
void Flock_edgeDist(t_boids *x, t_float arg)
{
x->edgeDist = arg;
}
void Flock_speedupFactor(t_boids *x, t_float arg)
{
x->speedupFactor = arg;
}
void Flock_inertiaFactor(t_boids *x, t_float arg)
{
if(arg == 0){
x->inertiaFactor = 0.000001;
}else{
x->inertiaFactor = arg;
}
}
void Flock_accelFactor(t_boids *x, t_float arg)
{
x->accelFactor = arg;
}
void Flock_prefDist(t_boids *x, t_float arg)
{
x->prefDist = arg;
}
void Flock_flyRect(t_boids *x, t_symbol *msg, short argc, t_atom *argv)
{
double temp[4];
short i;
if(argc == 4){
for(i=0;i<4;i++) {
if(argv[i].a_type == A_FLOAT) {
temp[i] = (double)argv[i].a_w.w_float;
}
}
x->flyRect.left = temp[0];
x->flyRect.top = temp[1];
x->flyRect.right = temp[2];
x->flyRect.bottom = temp[3];
// x->flyRect.front = temp[4];
// x->flyRect.back = temp[5];
}else{
error("boids2d: flyrect needs four values");
}
}
void Flock_attractPt(t_boids *x, t_symbol *msg, short argc, t_atom *argv)
{
double temp[2];
short i;
if(argc == 2){
for(i=0;i<2;i++) {
if(argv[i].a_type == A_FLOAT) {
temp[i] = (double)argv[i].a_w.w_float;
}
}
x->attractPt.x = temp[0];
x->attractPt.y = temp[1];
// x->attractPt.z = temp[2];
}else{
error("boids2d: attractPt needs two values");
}
}
void Flock_reset(t_boids *x)
{
InitFlock(x);
}
void Flock_resetBoids(t_boids *x)
{
long i, j;
double rndAngle;
for (i = 0; i < x->numBoids; i++) { // init everything to 0.0
x->boid[i].oldPos.x = 0.0;
x->boid[i].oldPos.y = 0.0;
// x->boid[i].oldPos.z = 0.0;
x->boid[i].newPos.x = 0.0;
x->boid[i].newPos.y = 0.0;
// x->boid[i].newPos.z = 0.0;
x->boid[i].oldDir.x = 0.0;
x->boid[i].oldDir.y = 0.0;
// x->boid[i].oldDir.z = 0.0;
x->boid[i].newDir.x = 0.0;
x->boid[i].newDir.y = 0.0;
// x->boid[i].newDir.z = 0.0;
x->boid[i].speed = 0.0;
for(j=0; j<kMaxNeighbors;j++){
x->boid[i].neighbor[j] = 0;
x->boid[i].neighborDistSqr[j] = 0.0;
}
}
for (i = 0; i < x->numBoids; i++) { // set the initial locations and velocities of the boids
x->boid[i].newPos.x = x->boid[i].oldPos.x = RandomInt(x->flyRect.right,x->flyRect.left); // set random location within flyRect
x->boid[i].newPos.y = x->boid[i].oldPos.y = RandomInt(x->flyRect.bottom, x->flyRect.top);
// x->boid[i].newPos.z = x->boid[i].oldPos.z = RandomInt(x->flyRect.back, x->flyRect.front);
rndAngle = RandomInt(0, 360) * x->d2r; // set velocity from random angle
x->boid[i].newDir.x = sin(rndAngle);
x->boid[i].newDir.y = cos(rndAngle);
// x->boid[i].newDir.z = (cos(rndAngle) + sin(rndAngle)) * 0.5;
x->boid[i].speed = (kMaxSpeed + kMinSpeed) * 0.5;
}
}
void InitFlock(t_boids *x)
{
x->numNeighbors = kNumNeighbors;
x->minSpeed = kMinSpeed;
x->maxSpeed = kMaxSpeed;
x->centerWeight = kCenterWeight;
x->attractWeight = kAttractWeight;
x->matchWeight = kMatchWeight;
x->avoidWeight = kAvoidWeight;
x->wallsWeight = kWallsWeight;
x->edgeDist = kEdgeDist;
x->speedupFactor = kSpeedupFactor;
x->inertiaFactor = kInertiaFactor;
x->accelFactor = kAccelFactor;
x->prefDist = kPrefDist;
x->prefDistSqr = kPrefDist * kPrefDist;
x->flyRect.top = kFlyRectTop;
x->flyRect.left = kFlyRectLeft;
x->flyRect.bottom = kFlyRectBottom;
x->flyRect.right = kFlyRectRight;
// x->flyRect.front = kFlyRectFront;
// x->flyRect.back = kFlyRectBack;
x->attractPt.x = (kFlyRectLeft + kFlyRectRight) * 0.5;
x->attractPt.y = (kFlyRectTop + kFlyRectBottom) * 0.5;
// x->attractPt.z = (kFlyRectFront + kFlyRectBack) * 0.5;
Flock_resetBoids(x);
}
void FlightStep(t_boids *x)
{
Velocity goCenterVel;
Velocity goAttractVel;
Velocity matchNeighborVel;
Velocity avoidWallsVel;
Velocity avoidNeighborVel;
float avoidNeighborSpeed;
const Velocity zeroVel = {0.0, 0.0};//, 0.0};
short i;
x->centerPt = FindFlockCenter(x);
for (i = 0; i < x->numBoids; i++) { // save position and velocity
x->boid[i].oldPos.x = x->boid[i].newPos.x;
x->boid[i].oldPos.y = x->boid[i].newPos.y;
// x->boid[i].oldPos.z = x->boid[i].newPos.z;
x->boid[i].oldDir.x = x->boid[i].newDir.x;
x->boid[i].oldDir.y = x->boid[i].newDir.y;
// x->boid[i].oldDir.z = x->boid[i].newDir.z;
}
for (i = 0; i < x->numBoids; i++) {
if (x->numNeighbors > 0) { // get all velocity components
avoidNeighborSpeed = MatchAndAvoidNeighbors(x, i,&matchNeighborVel, &avoidNeighborVel);
} else {
matchNeighborVel = zeroVel;
avoidNeighborVel = zeroVel;
avoidNeighborSpeed = 0;
}
goCenterVel = SeekPoint(x, i, x->centerPt);
goAttractVel = SeekPoint(x, i, x->attractPt);
avoidWallsVel = AvoidWalls(x, i);
// compute resultant velocity using weights and inertia
x->boid[i].newDir.x = x->inertiaFactor * (x->boid[i].oldDir.x) +
(x->centerWeight * goCenterVel.x +
x->attractWeight * goAttractVel.x +
x->matchWeight * matchNeighborVel.x +
x->avoidWeight * avoidNeighborVel.x +
x->wallsWeight * avoidWallsVel.x) / x->inertiaFactor;
x->boid[i].newDir.y = x->inertiaFactor * (x->boid[i].oldDir.y) +
(x->centerWeight * goCenterVel.y +
x->attractWeight * goAttractVel.y +
x->matchWeight * matchNeighborVel.y +
x->avoidWeight * avoidNeighborVel.y +
x->wallsWeight * avoidWallsVel.y) / x->inertiaFactor;
/*x->boid[i].newDir.z = x->inertiaFactor * (x->boid[i].oldDir.z) +
(x->centerWeight * goCenterVel.z +
x->attractWeight * goAttractVel.z +
x->matchWeight * matchNeighborVel.z +
x->avoidWeight * avoidNeighborVel.z +
x->wallsWeight * avoidWallsVel.z) / x->inertiaFactor;*/
NormalizeVelocity(&(x->boid[i].newDir)); // normalize velocity so its length is unity
// set to avoidNeighborSpeed bounded by minSpeed and maxSpeed
if ((avoidNeighborSpeed >= x->minSpeed) &&
(avoidNeighborSpeed <= x->maxSpeed))
x->boid[i].speed = avoidNeighborSpeed;
else if (avoidNeighborSpeed > x->maxSpeed)
x->boid[i].speed = x->maxSpeed;
else
x->boid[i].speed = x->minSpeed;
// calculate new position, applying speedupFactor
x->boid[i].newPos.x += x->boid[i].newDir.x * x->boid[i].speed * (x->speedupFactor / 100.0);
x->boid[i].newPos.y += x->boid[i].newDir.y * x->boid[i].speed * (x->speedupFactor / 100.0);
// x->boid[i].newPos.z += x->boid[i].newDir.z * x->boid[i].speed * (x->speedupFactor / 100.0);
}
}
Point2d FindFlockCenter(t_boids *x)
{
double totalH = 0, totalV = 0, totalD = 0;
Point2d centerPoint;
short i;
for (i = 0 ; i < x->numBoids; i++)
{
totalH += x->boid[i].oldPos.x;
totalV += x->boid[i].oldPos.y;
// totalD += x->boid[i].oldPos.z;
}
centerPoint.x = (double)(totalH / x->numBoids);
centerPoint.y = (double)(totalV / x->numBoids);
// centerPoint.z = (double) (totalD / x->numBoids);
return(centerPoint);
}
float MatchAndAvoidNeighbors(t_boids *x, short theBoid, Velocity *matchNeighborVel, Velocity *avoidNeighborVel)
{
short i, j, neighbor;
double distSqr;
double dist, distH, distV,distD;
double tempSpeed;
short numClose = 0;
Velocity totalVel = {0.0,0.0};//,0.0};
/**********************/
/* Find the neighbors */
/**********************/
/* special case of one neighbor */
if (x->numNeighbors == 1) {
x->boid[theBoid].neighborDistSqr[0] = kMaxLong;
for (i = 0; i < x->numBoids; i++) {
if (i != theBoid) {
distSqr = DistSqrToPt(x->boid[theBoid].oldPos, x->boid[i].oldPos);
/* if this one is closer than the closest so far, then remember it */
if (x->boid[theBoid].neighborDistSqr[0] > distSqr) {
x->boid[theBoid].neighborDistSqr[0] = distSqr;
x->boid[theBoid].neighbor[0] = i;
}
}
}
}
/* more than one neighbor */
else {
for (j = 0; j < x->numNeighbors; j++)
x->boid[theBoid].neighborDistSqr[j] = kMaxLong;
for (i = 0 ; i < x->numBoids; i++) {
/* if this one is not me... */
if (i != theBoid) {
distSqr = DistSqrToPt(x->boid[theBoid].oldPos, x->boid[i].oldPos);
/* if distSqr is less than the distance at the bottom of the array, sort into array */
if (distSqr < x->boid[theBoid].neighborDistSqr[x->numNeighbors-1]) {
j = x->numNeighbors - 1;
/* sort distSqr in to keep array in size order, smallest first */
while ((distSqr < x->boid[theBoid].neighborDistSqr[j-1]) && (j > 0)) {
x->boid[theBoid].neighborDistSqr[j] = x->boid[theBoid].neighborDistSqr[j - 1];
x->boid[theBoid].neighbor[j] = x->boid[theBoid].neighbor[j - 1];
j--;
}
x->boid[theBoid].neighborDistSqr[j] = distSqr;
x->boid[theBoid].neighbor[j] = i;
}
}
}
}
/*********************************/
/* Match and avoid the neighbors */
/*********************************/
matchNeighborVel->x = 0;
matchNeighborVel->y = 0;
// matchNeighborVel->z = 0;
// set tempSpeed to old speed
tempSpeed = x->boid[theBoid].speed;
for (i = 0; i < x->numNeighbors; i++) {
neighbor = x->boid[theBoid].neighbor[i];
// calculate matchNeighborVel by averaging the neighbor velocities
matchNeighborVel->x += x->boid[neighbor].oldDir.x;
matchNeighborVel->y += x->boid[neighbor].oldDir.y;
// matchNeighborVel->z += x->boid[neighbor].oldDir.z;
// if distance is less than preferred distance, then neighbor influences boid
distSqr = x->boid[theBoid].neighborDistSqr[i];
if (distSqr < x->prefDistSqr) {
dist = sqrt(distSqr);
distH = x->boid[neighbor].oldPos.x - x->boid[theBoid].oldPos.x;
distV = x->boid[neighbor].oldPos.y - x->boid[theBoid].oldPos.y;
// distD = x->boid[neighbor].oldPos.z - x->boid[theBoid].oldPos.z;
if(dist == 0.0) dist = 0.0000001;
totalVel.x = totalVel.x - distH - (distH * ((float) x->prefDist / (dist)));
totalVel.y = totalVel.y - distV - (distV * ((float) x->prefDist / (dist)));
// totalVel.z = totalVel.z - distD - (distV * ((float) x->prefDist / (dist)));
numClose++;
}
if (InFront(&(x->boid[theBoid]), &(x->boid[neighbor]))) { // adjust speed
if (distSqr < x->prefDistSqr)
tempSpeed /= (x->accelFactor / 100.0);
else
tempSpeed *= (x->accelFactor / 100.0);
}
else {
if (distSqr < x->prefDistSqr)
tempSpeed *= (x->accelFactor / 100.0);
else
tempSpeed /= (x->accelFactor / 100.0);
}
}
if (numClose) {
avoidNeighborVel->x = totalVel.x / numClose;
avoidNeighborVel->y = totalVel.y / numClose;
// avoidNeighborVel->z = totalVel.z / numClose;
NormalizeVelocity(matchNeighborVel);
}
else {
avoidNeighborVel->x = 0;
avoidNeighborVel->y = 0;
// avoidNeighborVel->z = 0;
}
return(tempSpeed);
}
Velocity SeekPoint(t_boids *x, short theBoid, Point2d seekPt)
{
Velocity tempDir;
tempDir.x = seekPt.x - x->boid[theBoid].oldPos.x;
tempDir.y = seekPt.y - x->boid[theBoid].oldPos.y;
// tempDir.z = seekPt.z - x->boid[theBoid].oldPos.z;
NormalizeVelocity(&tempDir);
return(tempDir);
}
Velocity AvoidWalls(t_boids *x, short theBoid)
{
Point2d testPoint;
Velocity tempVel = {0.0, 0.0};//, 0.0};
/* calculate test point in front of the nose of the boid */
/* distance depends on the boid's speed and the avoid edge constant */
testPoint.x = x->boid[theBoid].oldPos.x + x->boid[theBoid].oldDir.x * x->boid[theBoid].speed * x->edgeDist;
testPoint.y = x->boid[theBoid].oldPos.y + x->boid[theBoid].oldDir.y * x->boid[theBoid].speed * x->edgeDist;
// testPoint.z = x->boid[theBoid].oldPos.z + x->boid[theBoid].oldDir.z * x->boid[theBoid].speed * x->edgeDist;
/* if test point is out of the left (right) side of x->flyRect, */
/* return a positive (negative) horizontal velocity component */
if (testPoint.x < x->flyRect.left)
tempVel.x = fabs(x->boid[theBoid].oldDir.x);
else if (testPoint.x > x->flyRect.right)
tempVel.x = - fabs(x->boid[theBoid].oldDir.x);
/* same with top and bottom */
if (testPoint.y < x->flyRect.top)
tempVel.y = fabs(x->boid[theBoid].oldDir.y);
else if (testPoint.y > x->flyRect.bottom)
tempVel.y = - fabs(x->boid[theBoid].oldDir.y);
/* same with front and back
if (testPoint.z < x->flyRect.front)
tempVel.z = fabs(x->boid[theBoid].oldDir.z);
else if (testPoint.z > x->flyRect.back)
tempVel.z = - fabs(x->boid[theBoid].oldDir.z);
*/
return(tempVel);
}
int InFront(BoidPtr theBoid, BoidPtr neighbor)
{
float grad, intercept;
int result;
/*
Find the gradient and y-intercept of a line passing through theBoid's oldPos
perpendicular to its direction of motion. Another boid is in front of theBoid
if it is to the right or left of this linedepending on whether theBoid is moving
right or left. However, if theBoid is travelling vertically then just compare
their vertical coordinates.
*/
// xy plane
// if theBoid is not travelling vertically...
if (theBoid->oldDir.x != 0) {
// calculate gradient of a line _perpendicular_ to its direction (hence the minus)
grad = -theBoid->oldDir.y / theBoid->oldDir.x;
// calculate where this line hits the y axis (from y = mx + c)
intercept = theBoid->oldPos.y - (grad * theBoid->oldPos.x);
/* compare the horizontal position of the neighbor boid with */
/* the point on the line that has its vertical coordinate */
if (neighbor->oldPos.x >= ((neighbor->oldPos.y - intercept) / grad)) {
/* return true if the first boid's horizontal movement is +ve */
result = (theBoid->oldDir.x > 0);
if (result==0) return 0;
else goto next;
} else {
/* return true if the first boid's horizontal movement is +ve */
result = (theBoid->oldDir.x < 0);
if (result==0) return 0;
else goto next;
}
}
/* else theBoid is travelling vertically, so just compare vertical coordinates */
else if (theBoid->oldDir.y > 0) {
result = (neighbor->oldPos.y > theBoid->oldPos.y);
if (result==0){
return 0;
}else{
goto next;
}
}else{
result = (neighbor->oldPos.y < theBoid->oldPos.y);
if (result==0){
return 0;
} else {
goto next;
}
}
next:
/*
// yz plane
// if theBoid is not travelling vertically...
if (theBoid->oldDir.y != 0) {
// calculate gradient of a line _perpendicular_ to its direction (hence the minus)
grad = -theBoid->oldDir.z / theBoid->oldDir.y;
// calculate where this line hits the y axis (from y = mx + c)
intercept = theBoid->oldPos.z - (grad * theBoid->oldPos.y);
// compare the horizontal position of the neighbor boid with
// the point on the line that has its vertical coordinate
if (neighbor->oldPos.y >= ((neighbor->oldPos.z - intercept) / grad)) {
// return true if the first boid's horizontal movement is +ve
result = (theBoid->oldDir.y > 0);
if (result==0){
return 0;
}else{
goto next2;
}
} else {
// return true if the first boid's horizontal movement is +ve
result = (theBoid->oldDir.y < 0);
if (result==0){
return 0;
}else{
goto next2;
}
}
}
// else theBoid is travelling vertically, so just compare vertical coordinates
else if (theBoid->oldDir.z > 0) {
result = (neighbor->oldPos.z > theBoid->oldPos.z);
if (result==0){
return 0;
}else{
goto next2;
}
}else{
result = (neighbor->oldPos.z < theBoid->oldPos.z);
if (result==0){
return 0;
}else{
goto next2;
}
}
next2: */
return 1;
}
void NormalizeVelocity(Velocity *direction)
{
float my_hypot;
my_hypot = sqrt(direction->x * direction->x + direction->y * direction->y);// + direction->z * direction->z );
if (my_hypot != 0.0) {
direction->x = direction->x / my_hypot;
direction->y = direction->y / my_hypot;
// direction->z = direction->z / my_hypot;
}
}
double RandomInt(double minRange, double maxRange)
{
unsigned short qdRdm;
double t, result;
qdRdm = rand();
t = (double)qdRdm / 65536.0; // now 0 <= t <= 1
result = (t * (maxRange - minRange)) + minRange;
return(result);
}
double DistSqrToPt(Point2d firstPoint, Point2d secondPoint)
{
double a, b,c;
a = firstPoint.x - secondPoint.x;
b = firstPoint.y - secondPoint.y;
//c = firstPoint.z - secondPoint.z;
return(a * a + b * b); // + c * c);
}
\ No newline at end of file
--- 1,962 ----
! /*
!
! boids2d 08/2005 a.sier / jasch adapted from boids by eric singer 1995-2003 eric l. singer
!
! This program is free software; you can redistribute it and/or modify
! it under the terms of the GNU General Public License as published by
! the Free Software Foundation; either version 2 of the License, or
! (at your option) any later version.
!
! This program is distributed in the hope that it will be useful,
! but WITHOUT ANY WARRANTY; without even the implied warranty of
! MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
! GNU General Public License for more details.
!
! You should have received a copy of the GNU General Public License
! along with this program; if not, write to the Free Software
! Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
! */
!
! #include "m_pd.h"
! #include <stdlib.h>
! #include <math.h>
!
! // constants
! #define kAssistInlet 1
! #define kAssistOutlet 2
! #define kMaxLong 0xFFFFFFFF
! #define kMaxNeighbors 4
!
! // util
! #define MAX(a,b) ((a)>(b)?(a):(b))
! #define CLIP(x,a,b) (x)=(x)<(a)?(a):(x)>(b)?(b):(x)
!
! // initial flight parameters
! const short kNumBoids = 12; // number of boids
! const short kNumNeighbors = 2; // must be <= kMaxNeighbors
! const double kMinSpeed = 0.15; // boids' minimum speed
! const double kMaxSpeed = 0.25; // boids' maximum speed
! const double kCenterWeight = 0.25; // flock centering
! const double kAttractWeight = 0.300;// attraction point seeking
! const double kMatchWeight = 0.100;// neighbors velocity matching
! const double kAvoidWeight = 0.10; // neighbors avoidance
! const double kWallsWeight = 0.500;// wall avoidance [210]
! const double kEdgeDist = 0.5; // vision distance to avoid wall edges [5]
! const double kSpeedupFactor = 0.100;// alter animation speed
! const double kInertiaFactor = 0.20; // willingness to change speed & direction
! const double kAccelFactor = 0.100;// neighbor avoidance accelerate or decelerate rate
! const double kPrefDist = 0.25; // preferred distance from neighbors
! const double kFlyRectTop = 1.0; // fly rect boundaries
! const double kFlyRectLeft = -1.0;
! const double kFlyRectBottom = -1.0;
! const double kFlyRectRight = 1.0;
! // const double kFlyRectFront = 1.0;
! // const double kFlyRectBack = -1.0;
!
!
! // typedefs
! typedef struct Velocity {
! double x;
! double y;
! // double z;
! } Velocity;
!
! typedef struct Point2d {
! double x;
! double y;
! // double z;
! } Point2d;
!
! typedef struct Box3D {
! double left, right;
! double top, bottom;
! // double front, back;
! } Box3D;
!
! typedef struct _Boid {
! Point2d oldPos;
! Point2d newPos;
! Velocity oldDir;
! Velocity newDir;
! double speed;
! short neighbor[kMaxNeighbors];
! double neighborDistSqr[kMaxNeighbors];
! } t_one_boid, *BoidPtr;
!
! typedef struct _FlockObject {
! t_object ob;
! void *out1, *out2;
! short mode;
! long numBoids;
! long numNeighbors;
! Box3D flyRect;
! double minSpeed;
! double maxSpeed;
! double centerWeight;
! double attractWeight;
! double matchWeight;
! double avoidWeight;
! double wallsWeight;
! double edgeDist;
! double speedupFactor;
! double inertiaFactor;
! double accelFactor;
! double prefDist;
! double prefDistSqr;
! Point2d centerPt;
! Point2d attractPt;
! BoidPtr boid;
! double d2r, r2d;
! } t_boids, *FlockPtr;
!
! // variables
! // void *flock;
! t_symbol *ps_nothing;
!
! // prototypes
! void *boids2d_class;
! void *Flock_new(t_symbol *s, long argc, t_atom *argv);
! void Flock_free(t_boids *x);
! void Flock_bang(t_boids *x);
! void Flock_dump(t_boids *x);
! void Flock_mode(t_boids *x, t_float arg);
! void Flock_numNeighbors(t_boids *x, t_float arg);
! void Flock_numBoids(t_boids *x, t_float arg);
! void Flock_minSpeed(t_boids *x, t_float arg);
! void Flock_maxSpeed(t_boids *x, t_float arg);
! void Flock_centerWeight(t_boids *x, t_float arg);
! void Flock_attractWeight(t_boids *x, t_float arg);
! void Flock_matchWeight(t_boids *x, t_float arg);
! void Flock_avoidWeight(t_boids *x, t_float arg);
! void Flock_wallsWeight(t_boids *x, t_float arg);
! void Flock_edgeDist(t_boids *x, t_float arg);
! void Flock_speedupFactor(t_boids *x, t_float arg);
! void Flock_inertiaFactor(t_boids *x, t_float arg);
! void Flock_accelFactor(t_boids *x, t_float arg);
! void Flock_prefDist(t_boids *x, t_float arg);
! void Flock_flyRect(t_boids *x, t_symbol *msg, short argc, t_atom *argv);
! void Flock_attractPt(t_boids *x, t_symbol *msg, short argc, t_atom *argv);
! void Flock_reset(t_boids *x);
! void Flock_resetBoids(t_boids *x);
! void InitFlock(t_boids *x);
! void FlightStep(t_boids *x);
! Point2d FindFlockCenter(t_boids *x);
! float MatchAndAvoidNeighbors(t_boids *x, short theBoid, Velocity *matchNeighborVel, Velocity *avoidNeighborVel);
! Velocity SeekPoint(t_boids *x, short theBoid, Point2d seekPt);
! Velocity AvoidWalls(t_boids *x, short theBoid);
! int InFront(BoidPtr theBoid, BoidPtr neighbor);
! void NormalizeVelocity(Velocity *direction);
! double RandomInt(double minRange, double maxRange);
! double DistSqrToPt(Point2d firstPoint, Point2d secondPoint);
!
! void boids2d_setup(void)
! {
! boids2d_class = class_new(gensym("boids2d"), (t_newmethod)Flock_new,
! (t_method)Flock_free, sizeof(t_boids), 0, A_GIMME, 0);
! /* setup((t_messlist **) &flock, (method)Flock_new, (method)Flock_free, (short) sizeof(FlockObject), 0L, A_LONG, A_DEFLONG, 0); */
! class_addfloat(boids2d_class, (t_method) Flock_numBoids);
! class_addbang(boids2d_class, (t_method) Flock_bang);
! class_addmethod(boids2d_class, (t_method) Flock_numNeighbors, gensym("neighbors"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_numBoids, gensym("number"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_mode, gensym("mode"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_minSpeed, gensym("minspeed"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_maxSpeed, gensym("maxspeed"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_centerWeight, gensym("center"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_attractWeight, gensym("attract"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_matchWeight, gensym("match"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_avoidWeight, gensym("avoid"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_wallsWeight, gensym("repel"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_edgeDist, gensym("edgedist"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_speedupFactor, gensym("speed"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_inertiaFactor, gensym("inertia"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_accelFactor, gensym("accel"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_prefDist, gensym("prefdist"), A_FLOAT, 0);
! class_addmethod(boids2d_class, (t_method) Flock_flyRect, gensym("flyrect"), A_GIMME, 0);
! class_addmethod(boids2d_class, (t_method) Flock_attractPt, gensym("attractpt"), A_GIMME, 0);
! class_addmethod(boids2d_class, (t_method) Flock_resetBoids, gensym("reset"), 0);
! class_addmethod(boids2d_class, (t_method) Flock_reset, gensym("init"), 0);
! class_addmethod(boids2d_class, (t_method) Flock_dump, gensym("dump"), 0);
!
! post("boids2d 2005-2006 a.sier / jasch 1995-2003 eric l. singer "__DATE__" "__TIME__);
! ps_nothing = gensym("");
! }
!
!
! void *Flock_new(t_symbol *s, long argc, t_atom *argv)
! {
! t_boids *x = (t_boids *)pd_new(boids2d_class);
! x->out1 = outlet_new(&x->ob, NULL);
! x->out2 = outlet_new(&x->ob, NULL);
!
! x->numBoids = 16;
! if((argc >= 1) && (argv[0].a_type == A_FLOAT)){
! x->numBoids = argv[0].a_w.w_float;
! }
! x->boid = (t_one_boid *)malloc(sizeof(t_one_boid) * x->numBoids);
!
! InitFlock(x);
!
! x->mode = 0;
! if((argc >= 2) && (argv[1].a_type == A_FLOAT)){
! x->mode = (short)(CLIP(argv[1].a_w.w_float, 0, 2));
! }
!
! x->d2r = 3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068/180.0;
! x->r2d = 180.0/3.141592653589793238462643383279502884197169399375105820974944592307816406286208998628034825342117068;
!
! return(x);
! }
!
!
! void Flock_free(t_boids *x)
! {
! free(x->boid);
! }
!
! void Flock_bang(t_boids *x)
! {
! short i;
! t_atom outlist[10];
! t_atom *out;
!
! double tempNew_x, tempNew_y;
! double tempOld_x, tempOld_y;
! double delta_x, delta_y;
! double azi, speed;
! // double tempspeed;
!
! out = outlist;
!
! FlightStep(x);
!
!
! switch(x->mode) { // newpos
! case 0:
! for (i = 0; i < x->numBoids; i++){
! SETFLOAT(out+0, i);
! SETFLOAT(out+1, x->boid[i].newPos.x);
! SETFLOAT(out+2, x->boid[i].newPos.y);
! // SETFLOAT(out+3, x->boid[i].newPos.z);
! outlet_list(x->out1, 0L, 3, out);
! }
! break;
! case 1: //newpos + oldpos
! for (i = 0; i < x->numBoids; i++){
! SETFLOAT(out+0, i);
! SETFLOAT(out+1, x->boid[i].newPos.x);
! SETFLOAT(out+2, x->boid[i].newPos.y);
! // SETFLOAT(out+3, x->boid[i].newPos.z);
! SETFLOAT(out+3, x->boid[i].oldPos.x);
! SETFLOAT(out+4, x->boid[i].oldPos.y);
! // SETFLOAT(out+6, x->boid[i].oldPos.z);
! outlet_list(x->out1, 0L, 5, out);
! }
! break;
! case 2:
! for (i = 0; i < x->numBoids; i++){
! tempNew_x = x->boid[i].newPos.x;
! tempNew_y = x->boid[i].newPos.y;
! // tempNew_z = x->boid[i].newPos.z;
! tempOld_x = x->boid[i].oldPos.x;
! tempOld_y = x->boid[i].oldPos.y;
! // tempOld_z = x->boid[i].oldPos.z;
! delta_x = tempNew_x - tempOld_x;
! delta_y = tempNew_y - tempOld_y;
! // delta_z = tempNew_z - tempOld_z;
! azi = atan2(delta_y, delta_x) * x->r2d;
! // ele = atan2(delta_y, delta_x) * x->r2d;
! speed = sqrt(delta_x * delta_x + delta_y * delta_y);// + delta_z * delta_z);
! SETFLOAT(out+0, i);
! SETFLOAT(out+1, tempNew_x);
! SETFLOAT(out+2, tempNew_y);
! // SETFLOAT(out+3, tempNew_z);
! SETFLOAT(out+3, tempOld_x);
! SETFLOAT(out+4, tempOld_y);
! // SETFLOAT(out+6, tempOld_z);
! SETFLOAT(out+5, speed);
! SETFLOAT(out+6, azi);
! // SETFLOAT(out+9, ele);
! outlet_list(x->out1, 0L, 7, out);
! }
! break;
! }
! }
!
! void Flock_dump(t_boids *x)
! {
! t_atom outList[6];
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->numNeighbors;
! outlet_anything(x->out2, gensym("neighbors"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->minSpeed;
! outlet_anything(x->out2, gensym("minspeed"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->maxSpeed;
! outlet_anything(x->out2, gensym("maxspeed"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->centerWeight;
! outlet_anything(x->out2, gensym("center"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->attractWeight;
! outlet_anything(x->out2, gensym("attract"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->matchWeight;
! outlet_anything(x->out2, gensym("match"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->avoidWeight;
! outlet_anything(x->out2, gensym("avoid"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->wallsWeight;
! outlet_anything(x->out2, gensym("repel"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->edgeDist;
! outlet_anything(x->out2, gensym("edgedist"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->speedupFactor;
! outlet_anything(x->out2, gensym("speed"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->inertiaFactor;
! outlet_anything(x->out2, gensym("inertia"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->accelFactor;
! outlet_anything(x->out2, gensym("accel"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->prefDist;
! outlet_anything(x->out2, gensym("prefdist"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->flyRect.left;
! outList[1].a_type = A_FLOAT;
! outList[1].a_w.w_float = x->flyRect.top;
! outList[2].a_type = A_FLOAT;
! outList[2].a_w.w_float = x->flyRect.right;
! outList[3].a_type = A_FLOAT;
! outList[3].a_w.w_float = x->flyRect.bottom;
! /*outList[4].a_type = A_FLOAT;
! outList[4].a_w.w_float = x->flyRect.front;
! outList[5].a_type = A_FLOAT;
! outList[5].a_w.w_float = x->flyRect.back;*/
! outlet_anything(x->out2, gensym("flyrect"), 4, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->attractPt.x;
! outList[1].a_type = A_FLOAT;
! outList[1].a_w.w_float = x->attractPt.y;
! /*outList[2].a_type = A_FLOAT;
! outList[2].a_w.w_float = x->attractPt.z;*/
! outlet_anything(x->out2, gensym("attractpt"), 2, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->mode;
! outlet_anything(x->out2, gensym("mode"), 1, outList);
!
! outList[0].a_type = A_FLOAT;
! outList[0].a_w.w_float = x->numBoids;
! outlet_anything(x->out2, gensym("number"), 1, outList);
! }
!
!
! void Flock_mode(t_boids *x, t_float arg)
! {
! long m = (long)arg;
! x->mode = CLIP(m, 0, 2);
! }
!
! void Flock_numNeighbors(t_boids *x, t_float arg)
! {
! x->numNeighbors = (long)arg;
! }
!
! void Flock_numBoids(t_boids *x, t_float arg)
! {
! x->boid = (t_one_boid *)realloc(x->boid, sizeof(t_one_boid) * (long)arg);
! x->numBoids = (long)arg;
! Flock_resetBoids(x);
! }
!
! void Flock_minSpeed(t_boids *x, t_float arg)
! {
! x->minSpeed = MAX(arg, 0.000001);
! }
!
! void Flock_maxSpeed(t_boids *x, t_float arg)
! {
! x->maxSpeed = (double)arg;
! }
!
! void Flock_centerWeight(t_boids *x, t_float arg)
! {
! x->centerWeight = (double)arg;
! }
!
! void Flock_attractWeight(t_boids *x, t_float arg)
! {
! x->attractWeight = (double)arg;
! }
!
! void Flock_matchWeight(t_boids *x, t_float arg)
! {
! x->matchWeight = (double)arg;
! }
!
! void Flock_avoidWeight(t_boids *x, t_float arg)
! {
! x->avoidWeight = (double)arg;
! }
!
! void Flock_wallsWeight(t_boids *x, t_float arg)
! {
! x->wallsWeight = (double)arg;
! }
!
! void Flock_edgeDist(t_boids *x, t_float arg)
! {
! x->edgeDist = (double)arg;
! }
!
! void Flock_speedupFactor(t_boids *x, t_float arg)
! {
! x->speedupFactor = (double)arg;
! }
!
! void Flock_inertiaFactor(t_boids *x, t_float arg)
! {
! if(arg == 0){
! x->inertiaFactor = 0.000001;
! }else{
! x->inertiaFactor = (double)arg;
! }
! }
!
! void Flock_accelFactor(t_boids *x, t_float arg)
! {
! x->accelFactor = (double)arg;
! }
!
! void Flock_prefDist(t_boids *x, t_float arg)
! {
! x->prefDist = (double)arg;
! }
!
! void Flock_flyRect(t_boids *x, t_symbol *msg, short argc, t_atom *argv)
! {
! double temp[4];
! short i;
! if(argc == 4){
! for(i=0;i<4;i++) {
! if(argv[i].a_type == A_FLOAT) {
! temp[i] = (double)argv[i].a_w.w_float;
! }
! }
! x->flyRect.left = temp[0];
! x->flyRect.top = temp[1];
! x->flyRect.right = temp[2];
! x->flyRect.bottom = temp[3];
! // x->flyRect.front = temp[4];
! // x->flyRect.back = temp[5];
! }else{
! error("boids2d: flyrect needs four values");
! }
! }
!
! void Flock_attractPt(t_boids *x, t_symbol *msg, short argc, t_atom *argv)
! {
! double temp[2];
! short i;
! if(argc == 2){
! for(i=0;i<2;i++) {
! if(argv[i].a_type == A_FLOAT) {
! temp[i] = (double)argv[i].a_w.w_float;
! }
! }
! x->attractPt.x = temp[0];
! x->attractPt.y = temp[1];
! // x->attractPt.z = temp[2];
! }else{
! error("boids2d: attractPt needs two values");
! }
! }
!
! void Flock_reset(t_boids *x)
! {
! InitFlock(x);
! }
!
! void Flock_resetBoids(t_boids *x)
! {
! long i, j;
! double rndAngle;
!
! for (i = 0; i < x->numBoids; i++) { // init everything to 0.0
! x->boid[i].oldPos.x = 0.0;
! x->boid[i].oldPos.y = 0.0;
! // x->boid[i].oldPos.z = 0.0;
!
! x->boid[i].newPos.x = 0.0;
! x->boid[i].newPos.y = 0.0;
! // x->boid[i].newPos.z = 0.0;
!
! x->boid[i].oldDir.x = 0.0;
! x->boid[i].oldDir.y = 0.0;
! // x->boid[i].oldDir.z = 0.0;
!
! x->boid[i].newDir.x = 0.0;
! x->boid[i].newDir.y = 0.0;
! // x->boid[i].newDir.z = 0.0;
!
! x->boid[i].speed = 0.0;
!
! for(j=0; j<kMaxNeighbors;j++){
! x->boid[i].neighbor[j] = 0;
! x->boid[i].neighborDistSqr[j] = 0.0;
! }
! }
! for (i = 0; i < x->numBoids; i++) { // set the initial locations and velocities of the boids
! x->boid[i].newPos.x = x->boid[i].oldPos.x = RandomInt(x->flyRect.right,x->flyRect.left); // set random location within flyRect
! x->boid[i].newPos.y = x->boid[i].oldPos.y = RandomInt(x->flyRect.bottom, x->flyRect.top);
! // x->boid[i].newPos.z = x->boid[i].oldPos.z = RandomInt(x->flyRect.back, x->flyRect.front);
! rndAngle = RandomInt(0, 360) * x->d2r; // set velocity from random angle
! x->boid[i].newDir.x = sin(rndAngle);
! x->boid[i].newDir.y = cos(rndAngle);
! // x->boid[i].newDir.z = (cos(rndAngle) + sin(rndAngle)) * 0.5;
! x->boid[i].speed = (kMaxSpeed + kMinSpeed) * 0.5;
! }
! }
!
! void InitFlock(t_boids *x)
! {
! x->numNeighbors = kNumNeighbors;
! x->minSpeed = kMinSpeed;
! x->maxSpeed = kMaxSpeed;
! x->centerWeight = kCenterWeight;
! x->attractWeight = kAttractWeight;
! x->matchWeight = kMatchWeight;
! x->avoidWeight = kAvoidWeight;
! x->wallsWeight = kWallsWeight;
! x->edgeDist = kEdgeDist;
! x->speedupFactor = kSpeedupFactor;
! x->inertiaFactor = kInertiaFactor;
! x->accelFactor = kAccelFactor;
! x->prefDist = kPrefDist;
! x->prefDistSqr = kPrefDist * kPrefDist;
! x->flyRect.top = kFlyRectTop;
! x->flyRect.left = kFlyRectLeft;
! x->flyRect.bottom = kFlyRectBottom;
! x->flyRect.right = kFlyRectRight;
! // x->flyRect.front = kFlyRectFront;
! // x->flyRect.back = kFlyRectBack;
! x->attractPt.x = (kFlyRectLeft + kFlyRectRight) * 0.5;
! x->attractPt.y = (kFlyRectTop + kFlyRectBottom) * 0.5;
! // x->attractPt.z = (kFlyRectFront + kFlyRectBack) * 0.5;
! Flock_resetBoids(x);
! }
!
! void FlightStep(t_boids *x)
! {
! Velocity goCenterVel;
! Velocity goAttractVel;
! Velocity matchNeighborVel;
! Velocity avoidWallsVel;
! Velocity avoidNeighborVel;
! float avoidNeighborSpeed;
! const Velocity zeroVel = {0.0, 0.0};//, 0.0};
! short i;
!
! x->centerPt = FindFlockCenter(x);
! for (i = 0; i < x->numBoids; i++) { // save position and velocity
! x->boid[i].oldPos.x = x->boid[i].newPos.x;
! x->boid[i].oldPos.y = x->boid[i].newPos.y;
! // x->boid[i].oldPos.z = x->boid[i].newPos.z;
!
! x->boid[i].oldDir.x = x->boid[i].newDir.x;
! x->boid[i].oldDir.y = x->boid[i].newDir.y;
! // x->boid[i].oldDir.z = x->boid[i].newDir.z;
! }
! for (i = 0; i < x->numBoids; i++) {
! if (x->numNeighbors > 0) { // get all velocity components
! avoidNeighborSpeed = MatchAndAvoidNeighbors(x, i,&matchNeighborVel, &avoidNeighborVel);
! } else {
! matchNeighborVel = zeroVel;
! avoidNeighborVel = zeroVel;
! avoidNeighborSpeed = 0;
! }
! goCenterVel = SeekPoint(x, i, x->centerPt);
! goAttractVel = SeekPoint(x, i, x->attractPt);
! avoidWallsVel = AvoidWalls(x, i);
!
! // compute resultant velocity using weights and inertia
! x->boid[i].newDir.x = x->inertiaFactor * (x->boid[i].oldDir.x) +
! (x->centerWeight * goCenterVel.x +
! x->attractWeight * goAttractVel.x +
! x->matchWeight * matchNeighborVel.x +
! x->avoidWeight * avoidNeighborVel.x +
! x->wallsWeight * avoidWallsVel.x) / x->inertiaFactor;
! x->boid[i].newDir.y = x->inertiaFactor * (x->boid[i].oldDir.y) +
! (x->centerWeight * goCenterVel.y +
! x->attractWeight * goAttractVel.y +
! x->matchWeight * matchNeighborVel.y +
! x->avoidWeight * avoidNeighborVel.y +
! x->wallsWeight * avoidWallsVel.y) / x->inertiaFactor;
! /*x->boid[i].newDir.z = x->inertiaFactor * (x->boid[i].oldDir.z) +
! (x->centerWeight * goCenterVel.z +
! x->attractWeight * goAttractVel.z +
! x->matchWeight * matchNeighborVel.z +
! x->avoidWeight * avoidNeighborVel.z +
! x->wallsWeight * avoidWallsVel.z) / x->inertiaFactor;*/
! NormalizeVelocity(&(x->boid[i].newDir)); // normalize velocity so its length is unity
!
! // set to avoidNeighborSpeed bounded by minSpeed and maxSpeed
! if ((avoidNeighborSpeed >= x->minSpeed) &&
! (avoidNeighborSpeed <= x->maxSpeed))
! x->boid[i].speed = avoidNeighborSpeed;
! else if (avoidNeighborSpeed > x->maxSpeed)
! x->boid[i].speed = x->maxSpeed;
! else
! x->boid[i].speed = x->minSpeed;
!
! // calculate new position, applying speedupFactor
! x->boid[i].newPos.x += x->boid[i].newDir.x * x->boid[i].speed * (x->speedupFactor / 100.0);
! x->boid[i].newPos.y += x->boid[i].newDir.y * x->boid[i].speed * (x->speedupFactor / 100.0);
! // x->boid[i].newPos.z += x->boid[i].newDir.z * x->boid[i].speed * (x->speedupFactor / 100.0);
!
! }
! }
!
! Point2d FindFlockCenter(t_boids *x)
! {
! double totalH = 0, totalV = 0, totalD = 0;
! Point2d centerPoint;
! short i;
!
! for (i = 0 ; i < x->numBoids; i++)
! {
! totalH += x->boid[i].oldPos.x;
! totalV += x->boid[i].oldPos.y;
! // totalD += x->boid[i].oldPos.z;
! }
! centerPoint.x = (double)(totalH / x->numBoids);
! centerPoint.y = (double)(totalV / x->numBoids);
! // centerPoint.z = (double) (totalD / x->numBoids);
!
! return(centerPoint);
! }
!
! float MatchAndAvoidNeighbors(t_boids *x, short theBoid, Velocity *matchNeighborVel, Velocity *avoidNeighborVel)
! {
! short i, j, neighbor;
! double distSqr;
! double dist, distH, distV,distD;
! double tempSpeed;
! short numClose = 0;
! Velocity totalVel = {0.0,0.0};//,0.0};
!
! /**********************/
! /* Find the neighbors */
! /**********************/
!
! /* special case of one neighbor */
! if (x->numNeighbors == 1) {
! x->boid[theBoid].neighborDistSqr[0] = kMaxLong;
!
! for (i = 0; i < x->numBoids; i++) {
! if (i != theBoid) {
! distSqr = DistSqrToPt(x->boid[theBoid].oldPos, x->boid[i].oldPos);
!
! /* if this one is closer than the closest so far, then remember it */
! if (x->boid[theBoid].neighborDistSqr[0] > distSqr) {
! x->boid[theBoid].neighborDistSqr[0] = distSqr;
! x->boid[theBoid].neighbor[0] = i;
! }
! }
! }
! }
! /* more than one neighbor */
! else {
! for (j = 0; j < x->numNeighbors; j++)
! x->boid[theBoid].neighborDistSqr[j] = kMaxLong;
!
! for (i = 0 ; i < x->numBoids; i++) {
! /* if this one is not me... */
! if (i != theBoid) {
! distSqr = DistSqrToPt(x->boid[theBoid].oldPos, x->boid[i].oldPos);
!
! /* if distSqr is less than the distance at the bottom of the array, sort into array */
! if (distSqr < x->boid[theBoid].neighborDistSqr[x->numNeighbors-1]) {
! j = x->numNeighbors - 1;
!
! /* sort distSqr in to keep array in size order, smallest first */
! while ((distSqr < x->boid[theBoid].neighborDistSqr[j-1]) && (j > 0)) {
! x->boid[theBoid].neighborDistSqr[j] = x->boid[theBoid].neighborDistSqr[j - 1];
! x->boid[theBoid].neighbor[j] = x->boid[theBoid].neighbor[j - 1];
! j--;
! }
! x->boid[theBoid].neighborDistSqr[j] = distSqr;
! x->boid[theBoid].neighbor[j] = i;
! }
! }
! }
! }
!
! /*********************************/
! /* Match and avoid the neighbors */
! /*********************************/
!
! matchNeighborVel->x = 0;
! matchNeighborVel->y = 0;
! // matchNeighborVel->z = 0;
!
! // set tempSpeed to old speed
! tempSpeed = x->boid[theBoid].speed;
!
! for (i = 0; i < x->numNeighbors; i++) {
! neighbor = x->boid[theBoid].neighbor[i];
!
! // calculate matchNeighborVel by averaging the neighbor velocities
! matchNeighborVel->x += x->boid[neighbor].oldDir.x;
! matchNeighborVel->y += x->boid[neighbor].oldDir.y;
! // matchNeighborVel->z += x->boid[neighbor].oldDir.z;
!
! // if distance is less than preferred distance, then neighbor influences boid
! distSqr = x->boid[theBoid].neighborDistSqr[i];
! if (distSqr < x->prefDistSqr) {
! dist = sqrt(distSqr);
!
! distH = x->boid[neighbor].oldPos.x - x->boid[theBoid].oldPos.x;
! distV = x->boid[neighbor].oldPos.y - x->boid[theBoid].oldPos.y;
! // distD = x->boid[neighbor].oldPos.z - x->boid[theBoid].oldPos.z;
!
! if(dist == 0.0) dist = 0.0000001;
! totalVel.x = totalVel.x - distH - (distH * ((float) x->prefDist / (dist)));
! totalVel.y = totalVel.y - distV - (distV * ((float) x->prefDist / (dist)));
! // totalVel.z = totalVel.z - distD - (distV * ((float) x->prefDist / (dist)));
!
! numClose++;
! }
! if (InFront(&(x->boid[theBoid]), &(x->boid[neighbor]))) { // adjust speed
! if (distSqr < x->prefDistSqr)
! tempSpeed /= (x->accelFactor / 100.0);
! else
! tempSpeed *= (x->accelFactor / 100.0);
! }
! else {
! if (distSqr < x->prefDistSqr)
! tempSpeed *= (x->accelFactor / 100.0);
! else
! tempSpeed /= (x->accelFactor / 100.0);
! }
! }
! if (numClose) {
! avoidNeighborVel->x = totalVel.x / numClose;
! avoidNeighborVel->y = totalVel.y / numClose;
! // avoidNeighborVel->z = totalVel.z / numClose;
! NormalizeVelocity(matchNeighborVel);
! }
! else {
! avoidNeighborVel->x = 0;
! avoidNeighborVel->y = 0;
! // avoidNeighborVel->z = 0;
! }
! return(tempSpeed);
! }
!
!
! Velocity SeekPoint(t_boids *x, short theBoid, Point2d seekPt)
! {
! Velocity tempDir;
! tempDir.x = seekPt.x - x->boid[theBoid].oldPos.x;
! tempDir.y = seekPt.y - x->boid[theBoid].oldPos.y;
! // tempDir.z = seekPt.z - x->boid[theBoid].oldPos.z;
! NormalizeVelocity(&tempDir);
! return(tempDir);
! }
!
!
! Velocity AvoidWalls(t_boids *x, short theBoid)
! {
! Point2d testPoint;
! Velocity tempVel = {0.0, 0.0};//, 0.0};
!
! /* calculate test point in front of the nose of the boid */
! /* distance depends on the boid's speed and the avoid edge constant */
! testPoint.x = x->boid[theBoid].oldPos.x + x->boid[theBoid].oldDir.x * x->boid[theBoid].speed * x->edgeDist;
! testPoint.y = x->boid[theBoid].oldPos.y + x->boid[theBoid].oldDir.y * x->boid[theBoid].speed * x->edgeDist;
! // testPoint.z = x->boid[theBoid].oldPos.z + x->boid[theBoid].oldDir.z * x->boid[theBoid].speed * x->edgeDist;
!
! /* if test point is out of the left (right) side of x->flyRect, */
! /* return a positive (negative) horizontal velocity component */
! if (testPoint.x < x->flyRect.left)
! tempVel.x = fabs(x->boid[theBoid].oldDir.x);
! else if (testPoint.x > x->flyRect.right)
! tempVel.x = - fabs(x->boid[theBoid].oldDir.x);
!
! /* same with top and bottom */
! if (testPoint.y < x->flyRect.top)
! tempVel.y = fabs(x->boid[theBoid].oldDir.y);
! else if (testPoint.y > x->flyRect.bottom)
! tempVel.y = - fabs(x->boid[theBoid].oldDir.y);
!
! /* same with front and back
! if (testPoint.z < x->flyRect.front)
! tempVel.z = fabs(x->boid[theBoid].oldDir.z);
! else if (testPoint.z > x->flyRect.back)
! tempVel.z = - fabs(x->boid[theBoid].oldDir.z);
! */
!
! return(tempVel);
! }
!
!
! int InFront(BoidPtr theBoid, BoidPtr neighbor)
! {
! float grad, intercept;
! int result;
!
! /*
!
! Find the gradient and y-intercept of a line passing through theBoid's oldPos
! perpendicular to its direction of motion. Another boid is in front of theBoid
! if it is to the right or left of this linedepending on whether theBoid is moving
! right or left. However, if theBoid is travelling vertically then just compare
! their vertical coordinates.
!
! */
! // xy plane
!
! // if theBoid is not travelling vertically...
! if (theBoid->oldDir.x != 0) {
! // calculate gradient of a line _perpendicular_ to its direction (hence the minus)
! grad = -theBoid->oldDir.y / theBoid->oldDir.x;
!
! // calculate where this line hits the y axis (from y = mx + c)
! intercept = theBoid->oldPos.y - (grad * theBoid->oldPos.x);
!
! /* compare the horizontal position of the neighbor boid with */
! /* the point on the line that has its vertical coordinate */
! if (neighbor->oldPos.x >= ((neighbor->oldPos.y - intercept) / grad)) {
! /* return true if the first boid's horizontal movement is +ve */
! result = (theBoid->oldDir.x > 0);
!
! if (result==0) return 0;
! else goto next;
!
! } else {
! /* return true if the first boid's horizontal movement is +ve */
! result = (theBoid->oldDir.x < 0);
! if (result==0) return 0;
! else goto next;
! }
! }
! /* else theBoid is travelling vertically, so just compare vertical coordinates */
! else if (theBoid->oldDir.y > 0) {
! result = (neighbor->oldPos.y > theBoid->oldPos.y);
! if (result==0){
! return 0;
! }else{
! goto next;
! }
! }else{
! result = (neighbor->oldPos.y < theBoid->oldPos.y);
! if (result==0){
! return 0;
! } else {
! goto next;
! }
! }
! next:
! /*
! // yz plane
!
! // if theBoid is not travelling vertically...
! if (theBoid->oldDir.y != 0) {
! // calculate gradient of a line _perpendicular_ to its direction (hence the minus)
! grad = -theBoid->oldDir.z / theBoid->oldDir.y;
!
! // calculate where this line hits the y axis (from y = mx + c)
! intercept = theBoid->oldPos.z - (grad * theBoid->oldPos.y);
!
! // compare the horizontal position of the neighbor boid with
! // the point on the line that has its vertical coordinate
! if (neighbor->oldPos.y >= ((neighbor->oldPos.z - intercept) / grad)) {
! // return true if the first boid's horizontal movement is +ve
! result = (theBoid->oldDir.y > 0);
! if (result==0){
! return 0;
! }else{
! goto next2;
! }
! } else {
! // return true if the first boid's horizontal movement is +ve
! result = (theBoid->oldDir.y < 0);
! if (result==0){
! return 0;
! }else{
! goto next2;
! }
! }
! }
! // else theBoid is travelling vertically, so just compare vertical coordinates
! else if (theBoid->oldDir.z > 0) {
! result = (neighbor->oldPos.z > theBoid->oldPos.z);
! if (result==0){
! return 0;
! }else{
! goto next2;
! }
! }else{
! result = (neighbor->oldPos.z < theBoid->oldPos.z);
! if (result==0){
! return 0;
! }else{
! goto next2;
! }
! }
! next2: */
! return 1;
! }
!
! void NormalizeVelocity(Velocity *direction)
! {
! float my_hypot;
!
! my_hypot = sqrt(direction->x * direction->x + direction->y * direction->y);// + direction->z * direction->z );
!
! if (my_hypot != 0.0) {
! direction->x = direction->x / my_hypot;
! direction->y = direction->y / my_hypot;
! // direction->z = direction->z / my_hypot;
! }
! }
!
! double RandomInt(double minRange, double maxRange)
! {
! unsigned short qdRdm;
! double t, result;
!
! qdRdm = rand();
! t = (double)qdRdm / 65536.0; // now 0 <= t <= 1
! result = (t * (maxRange - minRange)) + minRange;
! return(result);
! }
!
! double DistSqrToPt(Point2d firstPoint, Point2d secondPoint)
! {
! double a, b,c;
! a = firstPoint.x - secondPoint.x;
! b = firstPoint.y - secondPoint.y;
! //c = firstPoint.z - secondPoint.z;
! return(a * a + b * b); // + c * c);
! }
\ No newline at end of file
