2 * Displays a conformation
16 typedef struct { double vertex[3][D3]; } Triangle;
18 static Triangle trisbuffer[MAXTRIS], *displaylist[MAXTRIS];
20 static Vertices conformation;
22 static double transform[D3][D3]= {{1,0,0}, {0,1,0}, {0,0,1}};
23 static GSL_MATRIX(transform);
26 static struct stat input_stab;
27 static const char *input_filename;
29 static void read_input(void) {
32 if (input_f) fclose(input_f);
33 input_f= fopen(input_filename, "rb"); if (!input_f) diee("input file");
35 if (fstat(fileno(input_f), &input_stab)) diee("fstat input file");
38 r= fread(&conformation,sizeof(conformation),1,input_f);
39 if (r!=1) diee("fread");
42 static void transform_coordinates(void) {
45 gsl_vector input_gsl= { D3,1 };
50 input_gsl.data= &conformation[v][0];
51 GA( gsl_blas_dgemv(CblasNoTrans, 1.0,&transform_gsl, &input_gsl,
53 K conformation[v][k]= result[k];
57 static int vertex_in_triangles[N], vertex_in_triangles_checked;
59 static void addtriangle(int va, int vb, int vc) {
60 Triangle *t= &trisbuffer[ntris];
63 assert(ntris < MAXTRIS);
65 t->vertex[0][k]= conformation[va][k];
66 t->vertex[1][k]= conformation[vb][k];
67 t->vertex[2][k]= conformation[vc][k];
69 if (!vertex_in_triangles_checked) {
70 vertex_in_triangles[va]++;
71 vertex_in_triangles[vb]++;
72 vertex_in_triangles[vc]++;
74 displaylist[ntris++]= t;
77 static void generate_display_list(void) {
82 /* We use the two triangles in the parallelogram vb, vb+e5, vb+e0, vb+e1.
83 * We go round each triangle clockwise (although our surface is non-
84 * orientable so it shouldn't matter). Picking the parallelogram
85 * to our right avoids getting it wrong at the join.
87 //if ((vb & YMASK) > Y1) continue;
88 //if ((vb & XMASK) > 2) continue;
89 for (e=0; e<V6; e++) ve[e]= EDGE_END2(vb,e);
91 if (ve[5]>=0) addtriangle(vb,ve[0],ve[5]);
93 if (ve[1]>=0) addtriangle(vb,ve[1],ve[0]);
96 if (!vertex_in_triangles_checked) {
99 expd= RIM_VERTEX_P(v) ? 3 : 6;
100 if (vertex_in_triangles[v] != expd) {
101 fprintf(stderr,"vertex %02x used for %d triangles, expected %d\n",
102 v, vertex_in_triangles[v], expd);
106 vertex_in_triangles_checked= 1;
110 static int dl_compare(const void *tav, const void *tbv) {
112 const Triangle *const *tap= tav, *ta= *tap;
113 const Triangle *const *tbp= tbv, *tb= *tbp;
115 for (i=0; i<3; i++) {
116 za += ta->vertex[i][2];
117 zb += tb->vertex[i][2];
119 return za > zb ? -1 :
123 static void sort_display_list(void) {
124 qsort(displaylist, ntris, sizeof(*displaylist), dl_compare);
127 /*---------- X stuff ----------*/
131 typedef struct { GC fillgc, linegc; } DrawingMode;
133 static Display *display;
134 static Pixmap pixmap, doublebuffers[2];
135 static Window window;
137 static DrawingMode dmred, dmblue, dmwhite;
138 static const DrawingMode *dmcurrent;
139 static int wwidth=WSZ, wheight=WSZ, wmindim=WSZ, wmaxdim=WSZ;
140 static int ncut, currentbuffer, x11depth, x11screen, wireframe;
143 static double sizeadj_scale= 0.3, eyes_apart, scale_wmindim;
144 static double eye_z= -10, eye_x=0;
145 static double cut_z= -9;
146 static const double eyes_apart_preferred=0.05, eyes_apart_min= -0.02;
149 static void drawtriangle(const Triangle *t) {
153 for (i=0; i<3; i++) {
154 const double *v= t->vertex[i];
159 if (z < cut_z) { ncut++; return; }
161 double zezezp= eye_z / (eye_z - z);
162 points[i].x= scale_wmindim * (zezezp * (x - eye_x) + eye_x) + wwidth/2;
163 points[i].y= scale_wmindim * (zezezp * y ) + wheight/2;
165 points[3]= points[0];
168 XA( XFillPolygon(display,pixmap, dmcurrent->fillgc,
169 points,3,Convex,CoordModeOrigin) );
170 XA( XDrawLines(display,pixmap, dmcurrent->linegc,
171 points, 4,CoordModeOrigin) );
174 static const unsigned long core_event_mask=
175 ButtonPressMask|ButtonReleaseMask|StructureNotifyMask|ButtonMotionMask|
178 static void mkpixmaps(void) {
179 for (currentbuffer=0; currentbuffer<2; currentbuffer++) {
180 XA( pixmap= XCreatePixmap(display,window,wwidth,wheight,x11depth) );
181 doublebuffers[currentbuffer]= pixmap;
186 static void mkgcs(DrawingMode *dm, unsigned long planes) {
189 gcv.function= GXcopy;
190 gcv.foreground= WhitePixel(display,x11screen);
191 gcv.plane_mask= planes;
192 dm->linegc= XCreateGC(display,pixmap,
193 GCFunction|GCForeground|GCPlaneMask,
196 gcv.function= GXclear;
197 dm->fillgc= XCreateGC(display,pixmap,
198 GCFunction|GCPlaneMask,
202 static void display_prepare(void) {
203 XSetWindowAttributes wa;
206 XA( display= XOpenDisplay(0) );
207 x11screen= DefaultScreen(display);
208 x11depth= DefaultDepth(display,x11screen);
209 XA( XMatchVisualInfo(display,x11screen,x11depth, TrueColor,&visinfo) );
211 wa.event_mask= core_event_mask;
212 XA( window= XCreateWindow(display, DefaultRootWindow(display),
213 0,0, wwidth,wheight, 0,x11depth,
214 InputOutput, visinfo.visual,
217 hints.flags= USPosition;
220 XSetWMNormalHints(display,window,&hints);
224 mkgcs(&dmwhite, AllPlanes);
225 mkgcs(&dmblue, visinfo.blue_mask);
226 mkgcs(&dmred, visinfo.red_mask);
229 static void drawtriangles(const DrawingMode *dm) {
234 for (i=0, t=displaylist, ncut=0; i<ntris; i++, t++)
238 static void display_conformation(void) {
239 pixmap= doublebuffers[currentbuffer];
241 XA( XFillRectangle(display,pixmap,dmwhite.fillgc,0,0,wwidth,wheight) );
243 if (eyes_apart > 0) {
244 const double stationary= 0.07;
246 eye_x= eyes_apart < eyes_apart_preferred
248 eyes_apart < (eyes_apart_preferred + stationary)
249 ? eyes_apart_preferred
250 : eyes_apart - stationary;
251 eye_x /= sizeadj_scale;
252 drawtriangles(&dmblue);
254 drawtriangles(&dmred);
256 drawtriangles(&dmwhite);
257 printf("shown, %d/%d triangles cut\n", ncut, ntris);
260 XA( XSetWindowBackgroundPixmap(display,window,pixmap) );
261 XA( XClearWindow(display,window) );
262 currentbuffer= !currentbuffer;
265 static void show(void) {
266 scale_wmindim= sizeadj_scale * wmindim;
268 transform_coordinates();
269 generate_display_list();
271 display_conformation();
276 void (*start)(const XButtonEvent *e);
277 void (*delta)(double dx, double dy);
278 void (*conclude)(void);
279 void (*abandon)(void);
283 static const Drag drag_##x= { \
284 #x, drag_##x##_start, drag_##x##_delta, \
285 drag_##x##_conclude, drag_##x##_abandon \
288 #define DRAG_SAVING(x, thing, hook) \
289 static typeof(thing) original_##thing; \
290 static void drag_##x##_start(const XButtonEvent *e) { \
291 memcpy(&original_##thing, &thing, sizeof(thing)); \
294 static void drag_##x##_conclude(void) { } \
295 static void drag_##x##_abandon(void) { \
296 memcpy(&thing, &original_##thing, sizeof(thing)); \
301 static void drag_none_start(const XButtonEvent *e) { }
302 static void drag_none_delta(double dx, double dy) { }
303 static void drag_none_conclude(void) { }
304 static void drag_none_abandon(void) { }
307 static void pvectorcore(const char *n, double v[D3]) {
310 K printf("%# 10.10f ",v[k]);
313 static void pvector(const char *n, double v[D3]) {
317 static void pmatrix(const char *n, double m[D3][D3]) {
319 for (j=0; j<D3; j++) { pvectorcore(n,m[j]); n=""; }
322 #define PMATRIX(x) pmatrix(#x,x);
324 static double drag_transform_conv_x_z= 0;
325 static double drag_transform_conv_y_z= 0;
327 static void drag_transform_prep(const XButtonEvent *e) {
328 static const double factor= 2.5;
329 drag_transform_conv_x_z= MAX( MIN(e->y * factor / wheight - (factor/2),
331 drag_transform_conv_y_z= MAX( MIN(e->x * factor / wwidth - (factor/2),
333 printf("drag_transform_conv_{x,y}_z = %g,%g\n",
334 drag_transform_conv_x_z, drag_transform_conv_y_z);
337 static void make_z_rotation(double rotz[D3][D3], double cz, double sz) {
338 rotz[0][0]= cz; rotz[0][1]= sz; rotz[0][2]= 0;
339 rotz[1][0]= -sz; rotz[1][1]= cz; rotz[1][2]= 0;
340 rotz[2][0]= 0; rotz[2][1]= 0; rotz[2][2]= 1;
343 static void drag_rotate_delta(double dx, double dy) {
344 /* We multiple our transformation matrix by a matrix:
346 * If we just had y movement, we would rotate about x axis:
347 * rotation X = [ 1 0 0 ]
350 * where cy and sy are sin and cos of y rotation
352 * But we should pre-rotate this by a rotation about the z axis
353 * to get it to the right angle (to include x rotation). So
354 * we make cy and sy be cos() and sin(hypot(x,y)) and use
355 * with cr,sr as cos() and sin(atan2(y,y)):
357 * Ie we would do T' = Z R^T X R T where
358 * or T' = Z C T where C = R^T X R and
360 * adjustment R = [ cr sr 0 ]
362 * [ 0 0 1 ] or make_z_rotation(cr,sr)
364 * rotation Z = [ cz sz 0 ]
366 * [ 0 0 1 ] or make_z_rotation(cz,sz)
369 double rotx[D3][D3], adjr[D3][D3], rotz[D3][D3];
374 static double temp[D3][D3], change[D3][D3];
375 static GSL_MATRIX(temp);
376 static GSL_MATRIX(change);
378 printf("\nTRANSFORM %g, %g\n", dx,dy);
380 double dz= -drag_transform_conv_x_z * dx +
381 drag_transform_conv_y_z * dy;
383 dx *= (1 - fabs(drag_transform_conv_x_z));
384 dy *= (1 - fabs(drag_transform_conv_y_z));
386 double d= hypot(dx,dy);
388 printf(" dx,dy,dz = %g, %g, %g d = %g\n", dx,dy,dz, d);
390 if (hypot(d,dz) < 1e-6) return;
392 printf(" no xy rotation\n");
407 printf("\n d=%g cy,sy=%g,%g cr,sr=%g,%g\n\n", d,cy,sy,cr,sr);
409 rotx[0][0]= 1; rotx[0][1]= 0; rotx[0][2]= 0;
410 rotx[1][0]= 0; rotx[1][1]= cy; rotx[1][2]= sy;
411 rotx[2][0]= 0; rotx[2][1]= -sy; rotx[2][2]= cy;
414 make_z_rotation(adjr,cr,sr);
417 GA( gsl_blas_dgemm(CblasNoTrans,CblasNoTrans, 1.0,
420 pmatrix("X R", temp);
422 GA( gsl_blas_dgemm(CblasTrans,CblasNoTrans, 1.0,
428 make_z_rotation(rotz,cos(angz),sin(angz));
431 GA( gsl_blas_dgemm(CblasTrans,CblasNoTrans, 1.0,
432 &rotz_gsl,&change_gsl,
434 pmatrix("Z C", temp);
436 static double skew[D3][D3];
437 static GSL_MATRIX(skew);
439 GA( gsl_blas_dgemm(CblasNoTrans,CblasNoTrans, 1.0,
440 &temp_gsl, &transform_gsl,
444 memcpy(&transform,&skew,sizeof(transform));
448 /* Now we want to normalise skew, the result becomes new transform */
449 double svd_v[D3][D3];
452 double sigma[D3], tau[D3];
456 /* We use notation from Wikipedia Polar_decomposition
457 * Wikipedia's W is GSL's U
458 * Wikipedia's Sigma is GSL's S
459 * Wikipedia's V is GSL's V
460 * Wikipedia's U is our desired result
461 * Wikipedia which says if the SVD is A = W Sigma V*
462 * then the polar decomposition is A = U P
463 * where P = V Sigma V*
467 GA( gsl_linalg_SV_decomp(&skew_gsl, &svd_v_gsl, &sigma_gsl, &tau_gsl) );
469 pvector("Sigma",sigma);
472 /* We only need U, not P. */
473 GA( gsl_blas_dgemm(CblasNoTrans,CblasTrans, 1.0,
474 &skew_gsl,&svd_v_gsl,
475 0.0,&transform_gsl) );
477 pmatrix("U", transform);
479 printf("drag_rotate_delta...\n");
482 DRAG_SAVING(rotate, transform, drag_transform_prep(e));
484 static void drag_sizeadj_delta(double dx, double dy) {
485 sizeadj_scale *= pow(3.0, -dy);
488 DRAG_SAVING(sizeadj, sizeadj_scale, );
490 static void drag_3d_delta(double dx, double dy) {
491 eyes_apart += dx * 0.1;
492 if (eyes_apart < eyes_apart_min) eyes_apart= eyes_apart_min;
493 printf("sizeadj eyes_apart %g\n", eyes_apart);
496 DRAG_SAVING(3d, eyes_apart, );
498 static const Drag *drag= &drag_none;
500 static int drag_last_x, drag_last_y;
502 static void drag_position(int x, int y) {
503 drag->delta((x - drag_last_x) * 1.0 / wmaxdim,
504 (y - drag_last_y) * 1.0 / wmaxdim);
509 static void event_button(XButtonEvent *e) {
510 if (e->window != window || !e->same_screen) return;
511 if (e->type == ButtonPress) {
512 if (e->state || drag != &drag_none) {
513 printf("drag=%s press state=0x%lx abandon\n",
514 drag->name, (unsigned long)e->state);
520 case Button1: drag= &drag_rotate; break;
521 case Button2: drag= &drag_sizeadj; break;
522 case Button3: drag= &drag_3d; break;
523 default: printf("unknown drag start %d\n", e->button);
525 printf("drag=%s press button=%lu start %d,%d\n",
526 drag->name, (unsigned long)e->button, e->x, e->y);
531 if (e->type == ButtonRelease) {
532 printf("drag=%s release %d,%d\n", drag->name, e->x, e->y);
533 drag_position(e->x, e->y);
539 static void event_motion(int x, int y) {
540 printf("drag=%s motion %d,%d\n", drag->name, x, y);
544 static void event_key(XKeyEvent *e) {
549 r= XLookupString(e,buf,sizeof(buf)-1,&ks,0);
551 printf("XLookupString keycode=%u state=0x%x gave %d\n",
552 e->keycode, e->state, r);
556 if (!strcmp(buf,"q")) exit(0);
557 if (!strcmp(buf,"w")) {
558 wireframe= !wireframe;
562 if (!strcmp(buf,"d")) {
563 eyes_apart= eyes_apart>0 ? eyes_apart_min : eyes_apart_preferred;
569 static void event_config(XConfigureEvent *e) {
570 if (e->width == wwidth && e->height == wheight)
573 wwidth= e->width; wheight= e->height;
574 wmaxdim= wwidth > wheight ? wwidth : wheight;
575 wmindim= wwidth < wheight ? wwidth : wheight;
577 XA( XSetWindowBackground(display,window,BlackPixel(display,x11screen)) );
578 for (currentbuffer=0; currentbuffer<2; currentbuffer++)
579 XA( XFreePixmap(display, doublebuffers[currentbuffer]) );
585 static void check_input(void) {
589 r= stat(input_filename, &newstab);
590 if (r<0) diee("could not check input");
592 #define CI(x) if (newstab.st_##x == input_stab.st_##x) ; else goto changed
604 static void topocheck(void) {
605 int v1,e,v2,eprime,v1prime, count;
608 FOR_VEDGE(v2,eprime,v1prime)
609 if (v1prime==v1) count++;
611 fprintf(stderr,"%02x -%d-> %02x reverse edge count = %d!\n",
613 FOR_VEDGE(v2,eprime,v1prime)
614 fprintf(stderr,"%02x -%d-> %02x -> %d -> %02x\n",
615 v1,e,v2,eprime,v1prime);
621 int main(int argc, const char *const *argv) {
622 static const int wantedevents= POLLIN|POLLPRI|POLLERR|POLLHUP;
625 int k, i, r, *xfds, nxfds, polls_alloc=0;
626 struct pollfd *polls=0;
627 int motion_deferred=0, motion_x=-1, motion_y=-1;
630 if (argc==1) { printf("topology self-consistent, ok\n"); exit(0); }
632 if (argc != 2 || argv[1][0]=='-') {
633 fputs("need filename\n",stderr); exit(8);
635 input_filename= argv[1];
638 K transform[k][k]= 1.0;
642 XMapWindow(display,window);
645 XA( XInternalConnectionNumbers(display, &xfds, &nxfds) );
646 if (polls_alloc <= nxfds) {
647 polls_alloc= nxfds + polls_alloc + 1;
648 polls= realloc(polls, sizeof(*polls) * polls_alloc);
649 if (!polls) diee("realloc for pollfds");
651 for (i=0; i<nxfds; i++) {
652 polls[i].fd= xfds[i];
653 polls[i].events= wantedevents;
658 polls[i].fd= ConnectionNumber(display);
659 polls[i].events= wantedevents;
661 r= poll(polls, nxfds+1, motion_deferred ? 0 : 200);
663 if (errno==EINTR) continue;
667 for (i=0; i<nxfds; i++)
668 if (polls[i].revents)
669 XProcessInternalConnection(display, polls[i].fd);
671 r= XCheckMaskEvent(display,~0UL,&event);
673 if (motion_deferred) {
674 event_motion(motion_x, motion_y);
681 switch (event.type) {
684 case ButtonRelease: event_button(&event.xbutton); break;
686 case KeyPress: event_key(&event.xkey); break;
688 case ConfigureNotify: event_config(&event.xconfigure); break;
691 motion_x= event.xmotion.x;
692 motion_y= event.xmotion.y;
697 printf("unknown event type %u 0x%x\n", event.type,event.type);