2 * Displays a conformation
12 typedef struct { double vertex[3][D3]; } Triangle;
14 static Triangle trisbuffer[MAXTRIS], *displaylist[MAXTRIS];
16 static Vertices conformation;
18 static double transform[D3][D3]= {{1,0,0}, {0,1,0}, {0,0,1}};
19 static GSL_MATRIX(transform);
21 const char *input_filename;
23 static void read_input(void) {
27 f= fopen(input_filename, "rb"); if (!f) diee("input file");
29 r= fread(&conformation,sizeof(conformation),1,f); if (r!=1) diee("fread");
33 static void transform_coordinates(void) {
36 gsl_vector input_gsl= { D3,1 };
41 input_gsl.data= &conformation[v][0];
42 GA( gsl_blas_dgemv(CblasNoTrans, 1.0,&transform_gsl, &input_gsl,
44 K conformation[v][k]= result[k];
48 static void addtriangle(int va, int vb, int vc) {
49 Triangle *t= &trisbuffer[ntris];
52 assert(ntris < MAXTRIS);
54 t->vertex[0][k]= conformation[va][k];
55 t->vertex[1][k]= conformation[vb][k];
56 t->vertex[2][k]= conformation[vc][k];
58 displaylist[ntris++]= t;
61 static void generate_display_list(void) {
66 /* We use the two triangles in the parallelogram vb, vb+e1, vb+e0, vb+e2.
67 * We go round each triangle clockwise (although our surface is non-
68 * orientable so it shouldn't matter).
70 for (e=0; e<3; e++) ve[e]= EDGE_END2(vb,e);
72 if (ve[1]>=0) addtriangle(vb,ve[0],ve[1]);
73 if (ve[2]>=0) addtriangle(vb,ve[2],ve[0]);
78 static int dl_compare(const void *tav, const void *tbv) {
80 const Triangle *const *tap= tav, *ta= *tap;
81 const Triangle *const *tbp= tbp, *tb= *tbp;
84 za += ta->vertex[i][2];
85 zb += tb->vertex[i][2];
91 static void sort_display_list(void) {
92 qsort(displaylist, ntris, sizeof(*displaylist), dl_compare);
95 /*---------- X stuff ----------*/
99 typedef struct { GC fillgc, linegc; } DrawingMode;
101 static Display *display;
102 static Pixmap pixmap, doublebuffers[2];
103 static Window window;
105 static DrawingMode dmred, dmblue, dmwhite;
106 static const DrawingMode *dmcurrent;
107 static int wwidth=WSZ, wheight=WSZ, wmindim=WSZ, wmaxdim=WSZ;
108 static int ncut, currentbuffer, x11depth, x11screen;
111 static double sizeadj_scale= 0.3, eyes_apart, scale_wmindim;
112 static double eye_z= -10, eye_x=0;
113 static double cut_z= -9;
115 static void drawtriangle(const Triangle *t) {
119 for (i=0; i<3; i++) {
120 double *v= t->vertex[i];
125 if (z < cut_z) { ncut++; return; }
127 double zezezp= eye_z / (eye_z - z);
128 points[i].x= scale_wmindim * (zezezp * (x - eye_x) + eye_x) + wwidth/2;
129 points[i].y= scale_wmindim * (zezezp * y ) + wheight/2;
131 points[3]= points[0];
133 XA( XFillPolygon(display,pixmap, dmcurrent->fillgc,
134 points,3,Convex,CoordModeOrigin) );
135 XA( XDrawLines(display,pixmap, dmcurrent->linegc,
136 points, 4,CoordModeOrigin) );
139 static const unsigned long core_event_mask=
140 ButtonPressMask|ButtonReleaseMask|StructureNotifyMask|ButtonMotionMask;
142 static void mkpixmaps(void) {
143 for (currentbuffer=0; currentbuffer<2; currentbuffer++) {
144 XA( pixmap= XCreatePixmap(display,window,wwidth,wheight,x11depth) );
145 doublebuffers[currentbuffer]= pixmap;
150 static void mkgcs(DrawingMode *dm, unsigned long planes) {
153 gcv.function= GXcopy;
154 gcv.foreground= WhitePixel(display,x11screen);
155 gcv.plane_mask= planes;
156 dm->linegc= XCreateGC(display,pixmap,
157 GCFunction|GCForeground|GCPlaneMask,
160 gcv.function= GXclear;
161 dm->fillgc= XCreateGC(display,pixmap,
162 GCFunction|GCPlaneMask,
166 static void display_prepare(void) {
167 XSetWindowAttributes wa;
170 XA( display= XOpenDisplay(0) );
171 x11screen= DefaultScreen(display);
172 x11depth= DefaultDepth(display,x11screen);
173 XA( XMatchVisualInfo(display,x11screen,x11depth, TrueColor,&visinfo) );
175 wa.event_mask= core_event_mask;
176 XA( window= XCreateWindow(display, DefaultRootWindow(display),
177 0,0, wwidth,wheight, 0,x11depth,
178 InputOutput, visinfo.visual,
181 hints.flags= USPosition;
184 XSetWMNormalHints(display,window,&hints);
188 mkgcs(&dmwhite, AllPlanes);
189 mkgcs(&dmblue, visinfo.blue_mask);
190 mkgcs(&dmred, visinfo.red_mask);
193 static void drawtriangles(const DrawingMode *dm) {
198 for (i=0, t=displaylist, ncut=0; i<ntris; i++, t++)
202 static void display_conformation(void) {
203 pixmap= doublebuffers[currentbuffer];
205 XA( XFillRectangle(display,pixmap,dmwhite.fillgc,0,0,wwidth,wheight) );
207 if (eyes_apart > 0) {
208 const double preferred=0.05, beyond=0.07;
210 eye_x= eyes_apart < preferred ? eyes_apart :
211 eyes_apart < beyond ? preferred :
212 eyes_apart - (beyond - preferred);
213 eye_x /= sizeadj_scale;
214 drawtriangles(&dmblue);
216 drawtriangles(&dmred);
218 drawtriangles(&dmwhite);
219 printf("shown, %d/%d triangles cut\n", ncut, ntris);
222 XA( XSetWindowBackgroundPixmap(display,window,pixmap) );
223 XA( XClearWindow(display,window) );
224 currentbuffer= !currentbuffer;
227 static void show(void) {
228 scale_wmindim= sizeadj_scale * wmindim;
230 transform_coordinates();
231 generate_display_list();
233 display_conformation();
239 void (*delta)(double dx, double dy);
240 void (*conclude)(void);
241 void (*abandon)(void);
245 static const Drag drag_##x= { \
246 #x, drag_##x##_start, drag_##x##_delta, \
247 drag_##x##_conclude, drag_##x##_abandon \
250 #define DRAG_SAVING(x, thing) \
251 static typeof(thing) original_##thing; \
252 static void drag_##x##_start(void) { \
253 memcpy(&original_##thing, &thing, sizeof(thing)); \
255 static void drag_##x##_conclude(void) { } \
256 static void drag_##x##_abandon(void) { \
257 memcpy(&thing, &original_##thing, sizeof(thing)); \
262 static void drag_none_start(void) { }
263 static void drag_none_delta(double dx, double dy) { }
264 static void drag_none_conclude(void) { }
265 static void drag_none_abandon(void) { }
268 static void pvectorcore(const char *n, double v[D3]) {
271 K printf("%# 10.10f ",v[k]);
274 static void pvector(const char *n, double v[D3]) {
278 static void pmatrix(const char *n, double m[D3][D3]) {
280 for (j=0; j<D3; j++) { pvectorcore(n,m[j]); n=""; }
283 #define PMATRIX(x) pmatrix(#x,x);
285 static void drag_rotate_delta(double dx, double dy) {
286 /* We multiple our transformation matrix by a matrix:
288 * If we just had y movement, we would rotate about x axis:
289 * rotation X = [ 1 0 0 ]
292 * where cy and sy are sin and cos of y rotation
294 * But we should pre-rotate this by a rotation about the z axis
295 * to get it to the right angle (to include x rotation). So
296 * we make cy and sy be cos() and sin(hypot(x,y)) and use
297 * with cr,sr as cos() and sin(atan2(y,y)):
299 * Ie we would do T' = R^T X R T where
300 * or T' = C T where C = R^T X R and
302 * adjustment R = [ cr sr 0 ]
307 double rotx[D3][D3], adjr[D3][D3];
311 static double temp[D3][D3], change[D3][D3];
312 static GSL_MATRIX(temp);
313 static GSL_MATRIX(change);
315 double d= hypot(dx,dy);
316 if (d < 1e-6) return;
324 printf("\n d=%g cy,sy=%g,%g cr,sr=%g,%g\n\n", d,cy,sy,cr,sr);
326 rotx[0][0]= 1; rotx[0][1]= 0; rotx[0][2]= 0;
327 rotx[1][0]= 0; rotx[1][1]= cy; rotx[1][2]= sy;
328 rotx[2][0]= 0; rotx[2][1]= -sy; rotx[2][2]= cy;
331 adjr[0][0]= cr; adjr[0][1]= sr; adjr[0][2]= 0;
332 adjr[1][0]= -sr; adjr[1][1]= cr; adjr[1][2]= 0;
333 adjr[2][0]= 0; adjr[2][1]= 0; adjr[2][2]= 1;
336 GA( gsl_blas_dgemm(CblasNoTrans,CblasNoTrans, 1.0,
341 GA( gsl_blas_dgemm(CblasTrans,CblasNoTrans, 1.0,
346 static double skew[D3][D3];
347 static GSL_MATRIX(skew);
349 GA( gsl_blas_dgemm(CblasNoTrans,CblasNoTrans, 1.0,
350 &change_gsl,&transform_gsl,
354 memcpy(&transform,&skew,sizeof(transform));
358 /* Now we want to normalise skew, the result becomes new transform */
359 double svd_v[D3][D3];
362 double sigma[D3], tau[D3];
366 /* We use notation from Wikipedia Polar_decomposition
367 * Wikipedia's W is GSL's U
368 * Wikipedia's Sigma is GSL's S
369 * Wikipedia's V is GSL's V
370 * Wikipedia's U is our desired result
371 * Wikipedia which says if the SVD is A = W Sigma V*
372 * then the polar decomposition is A = U P
373 * where P = V Sigma V*
377 GA( gsl_linalg_SV_decomp(&skew_gsl, &svd_v_gsl, &sigma_gsl, &tau_gsl) );
379 pvector("Sigma",sigma);
382 /* We only need U, not P. */
383 GA( gsl_blas_dgemm(CblasNoTrans,CblasTrans, 1.0,
384 &skew_gsl,&svd_v_gsl,
385 0.0,&transform_gsl) );
387 pmatrix("U", transform);
389 printf("drag_rotate_delta...\n");
392 DRAG_SAVING(rotate, transform);
394 static void drag_sizeadj_delta(double dx, double dy) {
395 sizeadj_scale *= pow(3.0, -dy);
398 DRAG_SAVING(sizeadj, sizeadj_scale);
400 static void drag_3d_delta(double dx, double dy) {
401 const double min_eyes_apart= -0.02;
402 eyes_apart += dx * 0.1;
403 if (eyes_apart < min_eyes_apart) eyes_apart= min_eyes_apart;
404 printf("sizeadj eyes_apart %g\n", eyes_apart);
407 DRAG_SAVING(3d, eyes_apart);
409 static const Drag *drag= &drag_none;
411 static int drag_last_x, drag_last_y;
413 static void drag_position(int x, int y) {
414 drag->delta((x - drag_last_x) * 1.0 / wmaxdim,
415 (y - drag_last_y) * 1.0 / wmaxdim);
420 static void event_button(XButtonEvent *e) {
421 if (e->window != window || !e->same_screen) return;
422 if (e->type == ButtonPress) {
423 if (e->state || drag != &drag_none) {
424 printf("drag=%s press state=0x%lx abandon\n",
425 drag->name, (unsigned long)e->state);
431 case Button1: drag= &drag_rotate; break;
432 case Button2: drag= &drag_sizeadj; break;
433 case Button3: drag= &drag_3d; break;
434 default: printf("unknown drag start %d\n", e->button);
436 printf("drag=%s press button=%lu start %d,%d\n",
437 drag->name, (unsigned long)e->button, e->x, e->y);
442 if (e->type == ButtonRelease) {
443 printf("drag=%s release %d,%d\n", drag->name, e->x, e->y);
444 drag_position(e->x, e->y);
450 static void event_motion(int x, int y) {
451 printf("drag=%s motion %d,%d\n", drag->name, x, y);
455 static void event_config(XConfigureEvent *e) {
456 if (e->width == wwidth && e->height == wheight)
459 wwidth= e->width; wheight= e->height;
460 wmaxdim= wwidth > wheight ? wwidth : wheight;
461 wmindim= wwidth < wheight ? wwidth : wheight;
463 XA( XSetWindowBackground(display,window,BlackPixel(display,x11screen)) );
464 for (currentbuffer=0; currentbuffer<2; currentbuffer++)
465 XA( XFreePixmap(display, doublebuffers[currentbuffer]) );
471 int main(int argc, const char *const *argv) {
474 int motion_deferred=0, motion_x=-1, motion_y=-1;
476 if (argc != 2 || argv[1][0]=='-') {
477 fputs("need filename\n",stderr); exit(8);
479 input_filename= argv[1];
482 K transform[k][k]= 1.0;
486 XMapWindow(display,window);
488 if (motion_deferred) {
489 int r= XCheckMaskEvent(display,~0UL,&event);
491 event_motion(motion_x, motion_y);
496 XNextEvent(display,&event);
498 switch (event.type) {
501 case ButtonRelease: event_button(&event.xbutton); break;
503 case ConfigureNotify: event_config(&event.xconfigure); break;
506 motion_x= event.xmotion.x;
507 motion_y= event.xmotion.y;
512 printf("unknown event type %u 0x%x\n", event.type,event.type);