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#include <u.h>
#include <libc.h>
#include <draw.h>
#define NPJW 48
#define NSPLIT 6
#define NDOT 14
#define MAXTRACKS 128
#define MINV 6
#define PDUP 1 /* useful for debugging */
#define nels(a) (sizeof(a) / sizeof(a[0]))
#define imin(a,b) (((a) <= (b)) ? (a) : (b))
#define imax(a,b) (((a) >= (b)) ? (a) : (b))
#define sqr(x) ((x) * (x))
typedef struct vector vector;
struct vector
{
double x;
double y;
};
typedef struct dot Dot;
struct dot
{
Point pos;
Point ivel;
vector vel;
double mass;
int charge;
int height; /* precalculated for speed */
int width; /* precalculated for speed */
int facei;
int spin;
Image *face;
Image *faces[4];
Image *mask;
Image *masks[4];
Image *save;
int ntracks;
Point track[MAXTRACKS];
int next_clear;
int next_write;
};
Dot dot[NDOT];
Dot *edot = &dot[NDOT];
int total_spin = 3;
vector no_gravity;
vector gravity =
{
0.0,
1.0,
};
/* static Image *track; */
static Image *im;
static int track_length;
static int track_width;
static int iflag;
static double k_floor = 0.9;
Image *screen;
#include "andrew.bits"
#include "bart.bits"
#include "bwk.bits"
#include "dmr.bits"
#include "doug.bits"
#include "gerard.bits"
#include "howard.bits"
#include "ken.bits"
#include "philw.bits"
#include "pjw.bits"
#include "presotto.bits"
#include "rob.bits"
#include "sean.bits"
#include "td.bits"
Image*
eallocimage(Display *d, Rectangle r, ulong chan, int repl, int col)
{
Image *i;
i = allocimage(d, r, chan, repl, col);
if(i == nil) {
fprint(2, "cannot allocate image\n");
exits("allocimage");
}
return i;
}
/*
* p1 dot p2
* inner product
*/
static
double
dotprod(vector *p1, vector *p2)
{
return p1->x * p2->x + p1->y * p2->y;
}
/*
* r = p1 + p2
*/
static
void
vecaddpt(vector *r, vector *p1, vector *p2)
{
r->x = p1->x + p2->x;
r->y = p1->y + p2->y;
}
/*
* r = p1 - p2
*/
static
void
vecsub(vector *r, vector *p1, vector *p2)
{
r->x = p1->x - p2->x;
r->y = p1->y - p2->y;
}
/*
* r = v * s
* multiplication of a vector by a scalar
*/
static
void
scalmult(vector *r, vector *v, double s)
{
r->x = v->x * s;
r->y = v->y * s;
}
static
double
separation(Dot *p, Dot *q)
{
return sqrt((double)(sqr(q->pos.x - p->pos.x) + sqr(q->pos.y - p->pos.y)));
}
static
int
close_enough(Dot *p, Dot *q, double *s)
{
int sepx;
int width;
int sepy;
sepx = p->pos.x - q->pos.x;
width = p->width;
if (sepx < -width || sepx > width)
return 0;
sepy = p->pos.y - q->pos.y;
if (sepy < -width || sepy > width)
return 0;
if ((*s = separation(p, q)) > (double)width)
return 0;
return 1;
}
static
void
ptov(vector *v, Point *p)
{
v->x = (double)p->x;
v->y = (double)p->y;
}
static
void
vtop(Point *p, vector *v)
{
p->x = (int)(v->x + 0.5);
p->y = (int)(v->y + 0.5);
}
static
void
exchange_spin(Dot *p, Dot *q)
{
int tspin;
if (p->spin == 0 && q->spin == 0)
return;
tspin = p->spin + q->spin;
p->spin = imax(nrand(imin(3, tspin + 1)), tspin + 1 - 3);
if (p->spin == 0)
{
p->face = p->faces[0];
p->mask = p->masks[0];
}
q->spin = tspin - p->spin;
if (q->spin == 0)
{
q->face = q->faces[0];
q->mask = q->masks[0];
}
}
static
void
exchange_charge(Dot *p, Dot *q)
{
if (p->charge == 0 && q->charge == 0)
{
switch (nrand(16))
{
case 0:
p->charge = 1;
q->charge = -1;
break;
case 1:
p->charge = -1;
q->charge = 1;
break;
}
}
}
/*
* The aim is to completely determine the final
* velocities of the two interacting particles as
* a function of their initial velocities, masses
* and point of collision. We start with the two
* quantities that we know are conserved in
* elastic collisions -- momentum and kinetic energy.
*
* Let the masses of the particles be m1 and m2;
* their initial velocities V1 and V2 (vector quantities
* represented by upper case variables, scalars lower
* case); their final velocities V1' and V2'.
*
* Conservation of momentum gives us:
*
* (1) m1 * V1 + m2 * V2 = m1 * V1' + m2 * V2'
*
* and conservation of kinetic energy gives:
*
* (2) 1/2 * m1 * |V1| * |V1| + 1/2 * m2 * |V2| * |V2| =
* 1/2 * m1 * |V1'| * |V1'| + 1/2 * m2 * |V2'| * |V2'|
*
* Then, decomposing (1) into its 2D scalar components:
*
* (1a) m1 * v1x + m2 * v2x = m1 * v1x' + m2 * v2x'
* (1b) m1 * v1y + m2 * v2y = m1 * v1y' + m2 * v2y'
*
* and simplifying and expanding (2):
*
* (2a) m1 * (v1x * v1x + v1y * v1y) +
* m2 * (v2x * v2x + v2y * v2y)
* =
* m1 * (v1x' * v1x' + v1y' * v1y') +
* m2 * (v2x' * v2x' + v2y' * v2y')
*
* We know m1, m2, V1 and V2 which leaves four unknowns:
*
* v1x', v1y', v2x' and v2y'
*
* but we have just three equations:
*
* (1a), (1b) and (2a)
*
* To remove this extra degree of freedom we add the assumption that
* the forces during the collision act instantaneously and exactly
* along the (displacement) vector joining the centres of the two objects.
*
* And unfortunately, I've forgotten the extra equation that this
* adds to the system(!), but it turns out that this extra constraint
* does allow us to solve the augmented system of equations.
* (I guess I could reverse engineer it from the code ...)
*/
static
void
rebound(Dot *p, Dot *q, double s)
{
vector pposn;
vector qposn;
vector pvel;
vector qvel;
vector newqp; /* vector difference of the positions */
vector newqpu; /* unit vector parallel to newqp */
vector newqv; /* " " " " velocities */
double projp; /* projection of p's velocity in newqp direction */
double projq; /* " " q's velocity in newqp direction */
double pmass; /* mass of p */
double qmass; /* mass of q */
double tmass; /* sum of mass of p and q */
double dmass; /* difference of mass of p and q */
double newp;
double newq;
if (s == 0.0)
return;
ptov(&pposn, &p->pos);
ptov(&qposn, &q->pos);
pvel = p->vel;
qvel = q->vel;
/*
* Transform so that p is stationary at (0,0,0);
*/
vecsub(&newqp, &qposn, &pposn);
vecsub(&newqv, &qvel, &pvel);
scalmult(&newqpu, &newqp, -1.0 / s);
if (dotprod(&newqv, &newqpu) <= 0.0)
return;
projp = dotprod(&pvel, &newqpu);
projq = dotprod(&qvel, &newqpu);
pmass = p->mass;
qmass = q->mass;
tmass = pmass + qmass;
dmass = pmass - qmass;
newp = (2.0 * qmass * projq + dmass * projp) / tmass;
newq = (2.0 * pmass * projp - dmass * projq) / tmass;
scalmult(&newqp, &newqpu, projp - newp);
scalmult(&newqv, &newqpu, projq - newq);
vecsub(&pvel, &pvel, &newqp);
vecsub(&qvel, &qvel, &newqv);
p->vel = pvel;
vtop(&p->ivel, &p->vel);
q->vel = qvel;
vtop(&q->ivel, &q->vel);
exchange_spin(p, q);
if (iflag)
exchange_charge(p, q);
}
static
int
rrand(int lo, int hi)
{
return lo + nrand(hi + 1 - lo);
}
static
void
drawdot(Dot *d)
{
Rectangle r;
char buf[10];
r = d->face->r;
r = rectsubpt(r, d->face->r.min);
r = rectaddpt(r, d->pos);
r = rectaddpt(r, screen->r.min);
draw(screen, r, d->face, d->mask, d->face->r.min);
if(PDUP > 1) { /* assume debugging */
sprint(buf, "(%d,%d)", d->pos.x, d->pos.y);
string(screen, r.min, display->black, ZP, font, buf);
}
}
static
void
undraw(Dot *d)
{
Rectangle r;
r = d->face->r;
r = rectsubpt(r, d->face->r.min);
r = rectaddpt(r, d->pos);
r = rectaddpt(r, screen->r.min);
draw(screen, r, display->black, d->mask, d->face->r.min);
/*
if (track_width > 0)
{
if (d->ntracks >= track_length)
{
bitblt(&screen, d->track[d->next_clear], track, track->r, D ^ ~S);
d->next_clear = (d->next_clear + 1) % track_length;
d->ntracks--;
}
d->track[d->next_write] = Pt(d->pos.x + d->width / 2 - track_width / 2, d->pos.y + d->height / 2 - track_width / 2);
bitblt(&screen, d->track[d->next_write], track, track->r, D ^ ~S);
d->next_write = (d->next_write + 1) % track_length;
d->ntracks++;
}
*/
}
static void
copy(Image *a, Image *b)
{
if(PDUP==1 || eqrect(a->r, b->r))
draw(a, a->r, b, nil, b->r.min);
else {
int x, y;
for(x = a->r.min.x; x < a->r.max.x; x++)
for(y = a->r.min.y; y < a->r.max.y; y++)
draw(a, Rect(x,y,x+1,y+1), b, nil, Pt(x/PDUP,y/PDUP));
}
}
static void
transpose(Image *b)
{
int x, y;
for(x = b->r.min.x; x < b->r.max.x; x++)
for(y = b->r.min.y; y < b->r.max.y; y++)
draw(im, Rect(y,x,y+1,x+1), b, nil, Pt(x,y));
draw(b, b->r, im, nil, ZP);
}
static void
reflect1_lr(Image *b)
{
int x;
for(x = 0; x < PDUP*NPJW; x++)
draw(im, Rect(x, 0, x, PDUP*NPJW), b, nil, Pt(b->r.max.x-x,0));
draw(b, b->r, im, nil, ZP);
}
static void
reflect1_ud(Image *b)
{
int y;
for(y = 0; y < PDUP*NPJW; y++)
draw(im, Rect(0, y, PDUP*NPJW, y), b, nil, Pt(0,b->r.max.y-y));
draw(b, b->r, im, nil, ZP);
}
static
void
rotate_clockwise(Image *b)
{
transpose(b);
reflect1_lr(b);
}
static
void
spin(Dot *d)
{
int i;
if (d->spin > 0)
{
i = (d->facei + d->spin) % nels(d->faces);
d->face = d->faces[i];
d->mask = d->masks[i];
d->facei = i;
}
sleep(0);
}
static
void
restart(Dot *d)
{
static int beam;
d->charge = 0;
d->pos.x = 0;
d->vel.x = 20.0 + (double)rrand(-2, 2);
if (beam ^= 1)
{
d->pos.y = screen->r.max.y - d->height;
d->vel.y = -20.0 + (double)rrand(-2, 2);
}
else
{
d->pos.y = 0;
d->vel.y = 20.0 + (double)rrand(-2, 2);
}
vtop(&d->ivel, &d->vel);
}
static
void
upd(Dot *d)
{
Dot *dd;
spin(d);
/*
* Bounce off others?
*/
for (dd = d + 1; dd != edot; dd++)
{
double s;
if (close_enough(d, dd, &s))
rebound(d, dd, s);
}
if (iflag)
{
/*
* Going off-screen?
*/
if
(
d->pos.x + d->width < 0
||
d->pos.x >= Dx(screen->r)
||
d->pos.y + d->height < 0
||
d->pos.y >= Dy(screen->r)
)
restart(d);
/*
* Charge.
*/
if (d->charge != 0)
{
/*
* TODO: This is wrong -- should
* generate closed paths. Can't
* simulate effect of B field just
* by adding in an orthogonal
* velocity component... (sigh)
*/
vector f;
double s;
f.x = -d->vel.y;
f.y = d->vel.x;
if ((s = sqrt(sqr(f.x) + sqr(f.y))) != 0.0)
{
scalmult(&f, &f, -((double)d->charge) / s);
vecaddpt(&d->vel, &f, &d->vel);
vtop(&d->ivel, &d->vel);
}
}
}
else
{
/*
* Bounce off left or right border?
*/
if (d->pos.x < 0)
{
d->vel.x = fabs(d->vel.x);
vtop(&d->ivel, &d->vel);
}
else if (d->pos.x + d->width >= Dx(screen->r))
{
d->vel.x = -fabs(d->vel.x);
vtop(&d->ivel, &d->vel);
}
/*
* Bounce off top or bottom border?
* (bottom is slightly inelastic)
*/
if (d->pos.y < 0)
{
d->vel.y = fabs(d->vel.y);
vtop(&d->ivel, &d->vel);
}
else if (d->pos.y + d->height >= Dy(screen->r))
{
if (gravity.y == 0.0)
d->vel.y = -fabs(d->vel.y);
else if (d->ivel.y >= -MINV && d->ivel.y <= MINV)
{
/*
* y-velocity is too small --
* give it a random kick.
*/
d->vel.y = (double)-rrand(30, 40);
d->vel.x = (double)rrand(-10, 10);
}
else
d->vel.y = -fabs(d->vel.y) * k_floor;
vtop(&d->ivel, &d->vel);
}
}
if (gravity.x != 0.0 || gravity.y != 0.0)
{
vecaddpt(&d->vel, &gravity, &d->vel);
vtop(&d->ivel, &d->vel);
}
d->pos = addpt(d->pos, d->ivel);
drawdot(d);
}
static
void
setup(Dot *d, char *who, uchar *face, int n_els)
{
int i, j, k, n;
int repl;
uchar mask;
int nbits, bits;
uchar tmpface[NPJW*NPJW];
uchar tmpmask[NPJW*NPJW];
static Image *im; /* not the global */
static Image *imask;
if(im == nil)
{
im = eallocimage(display, Rect(0,0,NPJW,NPJW), CMAP8, 0, DNofill);
imask = eallocimage(display, Rect(0,0,NPJW,NPJW), CMAP8, 0, DNofill);
}
repl = (NPJW*NPJW)/n_els;
if(repl > 8) {
fprint(2, "can't happen --rsc\n");
exits("repl");
}
nbits = 8/repl;
mask = (1<<(nbits))-1;
if(0) print("converting %s... n_els=%d repl=%d mask=%x nbits=%d...\n",
who, n_els, repl, mask, nbits);
n = 0;
for (i = 0; i < n_els; i++)
{
for(j = repl; j--; ) {
bits = (face[i] >> (j*nbits)) & mask;
tmpface[n] = 0;
tmpmask[n] = 0;
for(k = 0; k < repl; k++)
{
tmpface[n] |= (mask-bits) << (k*nbits);
tmpmask[n] |= (bits==mask ? 0 : mask) << (k*nbits);
}
n++;
}
}
if(n != sizeof tmpface) {
fprint(2, "can't happen2 --rsc\n");
exits("n!=tmpface");
}
loadimage(im, im->r, tmpface, n);
loadimage(imask, imask->r, tmpmask, n);
for (i = 0; i < nels(d->faces); i++)
{
d->faces[i] = eallocimage(display, Rect(0,0,PDUP*NPJW, PDUP*NPJW),
screen->chan, 0, DNofill);
d->masks[i] = eallocimage(display, Rect(0,0,PDUP*NPJW, PDUP*NPJW),
GREY1, 0, DNofill);
switch (i) {
case 0:
copy(d->faces[i], im);
copy(d->masks[i], imask);
break;
case 1:
copy(d->faces[i], im);
copy(d->masks[i], imask);
rotate_clockwise(d->faces[i]);
rotate_clockwise(d->masks[i]);
break;
default:
copy(d->faces[i], d->faces[i-2]);
copy(d->masks[i], d->masks[i-2]);
reflect1_lr(d->faces[i]);
reflect1_ud(d->faces[i]);
reflect1_lr(d->masks[i]);
reflect1_ud(d->masks[i]);
break;
}
}
d->face = d->faces[0];
d->mask = d->masks[0];
d->height = Dy(im->r);
d->width = Dx(im->r);
d->mass = 1.0;
d->spin = nrand(imin(3, total_spin + 1));
total_spin -= d->spin;
d->pos.x = nrand(screen->r.max.x - d->width);
d->pos.y = nrand(screen->r.max.y - d->height);
d->vel.x = (double)rrand(-20, 20);
d->vel.y = (double)rrand(-20, 20);
vtop(&d->ivel, &d->vel);
drawdot(d);
}
int
msec(void)
{
static int fd;
int n;
char buf[64];
if(fd <= 0)
fd = open("/dev/msec", OREAD);
if(fd < 0)
return 0;
if(seek(fd, 0, 0) < 0)
return 0;
if((n=read(fd, buf, sizeof(buf)-1)) < 0)
return 0;
buf[n] = 0;
return atoi(buf);
}
/*
* debugging: make del pause so that we can
* inspect window.
*/
jmp_buf j;
static void
myhandler(void *v, char *s)
{
if(strcmp(s, "interrupt") == 0)
notejmp(v, j, -1);
noted(NDFLT);
}
void
main(int argc, char *argv[])
{
int c;
long now, then;
ARGBEGIN
{
case 'i':
iflag = 1;
gravity = no_gravity;
track_length = 64;
track_width = 2;
break;
case 'k':
k_floor = atof(ARGF());
break;
case 'n':
track_length = atoi(ARGF());
break;
case 'w':
track_width = atoi(ARGF());
break;
case 'x':
gravity.x = atof(ARGF());
break;
case 'y':
gravity.y = atof(ARGF());
break;
default:
fprint(2, "Usage: %s [-i] [-k k_floor] [-n track_length] [-w track_width] [-x gravityx] [-y gravityy]\n", argv0);
exits("usage");
} ARGEND
if (track_length > MAXTRACKS)
track_length = MAXTRACKS;
if (track_length == 0)
track_width = 0;
srand(time(0));
initdraw(0,0,0);
im = eallocimage(display, Rect(0, 0, PDUP*NPJW, PDUP*NPJW), CMAP8, 0, DNofill);
draw(screen, screen->r, display->black, nil, ZP);
/* track = balloc(Rect(0, 0, track_width, track_width), 0); */
edot = &dot[0];
setup(edot++, "andrew", andrewbits, nels(andrewbits));
setup(edot++, "bart", bartbits, nels(bartbits));
setup(edot++, "bwk", bwkbits, nels(bwkbits));
setup(edot++, "dmr", dmrbits, nels(dmrbits));
setup(edot++, "doug", dougbits, nels(dougbits));
setup(edot++, "gerard", gerardbits, nels(gerardbits));
setup(edot++, "howard", howardbits, nels(howardbits));
setup(edot++, "ken", kenbits, nels(kenbits));
setup(edot++, "philw", philwbits, nels(philwbits));
setup(edot++, "pjw", pjwbits, nels(pjwbits));
setup(edot++, "presotto", presottobits, nels(presottobits));
setup(edot++, "rob", robbits, nels(robbits));
setup(edot++, "sean", seanbits, nels(seanbits));
setup(edot++, "td", tdbits, nels(tdbits));
if(PDUP > 1) { /* assume debugging */
setjmp(j);
read(0, &c, 1);
/* make DEL pause so that we can inspect window */
notify(myhandler);
}
SET(c);
USED(c);
#define DELAY 100
for (then = msec();; then = msec())
{
Dot *d;
for (d = dot; d != edot; d++)
undraw(d);
for (d = dot; d != edot; d++)
upd(d);
draw(screen, screen->r, screen, nil, screen->r.min);
flushimage(display, 1);
now = msec();
if(now - then < DELAY)
sleep(DELAY - (now - then));
}
}