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) {
79 const Triangle *const *tap= tav, *ta= *tap;
80 const Triangle *const *tbp= tbp, *tb= *tbp;
81 double za= ta->vertex[0][2];
82 double zb= tb->vertex[0][2];
87 static void sort_display_list(void) {
88 qsort(displaylist, ntris, sizeof(*displaylist), dl_compare);
91 /*---------- X stuff ----------*/
95 typedef struct { GC fillgc, linegc; } DrawingMode;
97 static Display *display;
98 static Pixmap pixmap, doublebuffers[2];
101 static DrawingMode dmred, dmblue, dmwhite;
102 static const DrawingMode *dmcurrent;
103 static int wwidth=WSZ, wheight=WSZ, wmindim=WSZ, wmaxdim=WSZ;
104 static int ncut, currentbuffer, x11depth, x11screen;
107 static double sizeadj_scale= 0.3, eyes_apart, scale_wmindim;
108 static double eye_z= -10, eye_x=0;
109 static double cut_z= -9;
111 static void drawtriangle(const Triangle *t) {
115 for (i=0; i<3; i++) {
116 double *v= t->vertex[i];
121 if (z < cut_z) { ncut++; return; }
123 double zezezp= eye_z / (eye_z - z);
124 points[i].x= scale_wmindim * (zezezp * (x - eye_x) + eye_x) + wwidth/2;
125 points[i].y= scale_wmindim * (zezezp * y ) + wheight/2;
127 points[3]= points[0];
129 XA( XFillPolygon(display,pixmap, dmcurrent->fillgc,
130 points,3,Convex,CoordModeOrigin) );
131 XA( XDrawLines(display,pixmap, dmcurrent->linegc,
132 points, 4,CoordModeOrigin) );
135 static const unsigned long core_event_mask=
136 ButtonPressMask|ButtonReleaseMask|StructureNotifyMask|ButtonMotionMask;
138 static void mkpixmaps(void) {
139 for (currentbuffer=0; currentbuffer<2; currentbuffer++) {
140 XA( pixmap= XCreatePixmap(display,window,wwidth,wheight,x11depth) );
141 doublebuffers[currentbuffer]= pixmap;
146 static void mkgcs(DrawingMode *dm, unsigned long planes) {
149 gcv.function= GXcopy;
150 gcv.foreground= WhitePixel(display,x11screen);
151 gcv.plane_mask= planes;
152 dm->linegc= XCreateGC(display,pixmap,
153 GCFunction|GCForeground|GCPlaneMask,
156 gcv.function= GXclear;
157 dm->fillgc= XCreateGC(display,pixmap,
158 GCFunction|GCPlaneMask,
162 static void display_prepare(void) {
163 XSetWindowAttributes wa;
166 XA( display= XOpenDisplay(0) );
167 x11screen= DefaultScreen(display);
168 x11depth= DefaultDepth(display,x11screen);
169 XA( XMatchVisualInfo(display,x11screen,x11depth, TrueColor,&visinfo) );
171 wa.event_mask= core_event_mask;
172 XA( window= XCreateWindow(display, DefaultRootWindow(display),
173 0,0, wwidth,wheight, 0,x11depth,
174 InputOutput, visinfo.visual,
177 hints.flags= USPosition;
180 XSetWMNormalHints(display,window,&hints);
184 mkgcs(&dmwhite, AllPlanes);
185 mkgcs(&dmblue, visinfo.blue_mask);
186 mkgcs(&dmred, visinfo.red_mask);
189 static void drawtriangles(const DrawingMode *dm) {
194 for (i=0, t=displaylist, ncut=0; i<ntris; i++, t++)
198 static void display_conformation(void) {
199 pixmap= doublebuffers[currentbuffer];
201 XA( XFillRectangle(display,pixmap,dmwhite.fillgc,0,0,wwidth,wheight) );
203 if (eyes_apart > 0) {
204 const double preferred=0.05, beyond=0.07;
206 eye_x= eyes_apart < preferred ? eyes_apart :
207 eyes_apart < beyond ? preferred :
208 eyes_apart - (beyond - preferred);
209 eye_x /= sizeadj_scale;
210 drawtriangles(&dmblue);
212 drawtriangles(&dmred);
214 drawtriangles(&dmwhite);
215 printf("shown, %d/%d triangles cut\n", ncut, ntris);
218 XA( XSetWindowBackgroundPixmap(display,window,pixmap) );
219 XA( XClearWindow(display,window) );
220 currentbuffer= !currentbuffer;
223 static void show(void) {
224 scale_wmindim= sizeadj_scale * wmindim;
226 transform_coordinates();
227 generate_display_list();
229 display_conformation();
235 void (*delta)(double dx, double dy);
236 void (*conclude)(void);
237 void (*abandon)(void);
241 static const Drag drag_##x= { \
242 #x, drag_##x##_start, drag_##x##_delta, \
243 drag_##x##_conclude, drag_##x##_abandon \
246 #define DRAG_SAVING(x, thing) \
247 static typeof(thing) original_##thing; \
248 static void drag_##x##_start(void) { \
249 memcpy(&original_##thing, &thing, sizeof(thing)); \
251 static void drag_##x##_conclude(void) { } \
252 static void drag_##x##_abandon(void) { \
253 memcpy(&thing, &original_##thing, sizeof(thing)); \
258 static void drag_none_start(void) { }
259 static void drag_none_delta(double dx, double dy) { }
260 static void drag_none_conclude(void) { }
261 static void drag_none_abandon(void) { }
264 static void pvectorcore(const char *n, double v[D3]) {
267 K printf("%# 10.10f ",v[k]);
270 static void pvector(const char *n, double v[D3]) {
274 static void pmatrix(const char *n, double m[D3][D3]) {
276 for (j=0; j<D3; j++) { pvectorcore(n,m[j]); n=""; }
279 #define PMATRIX(x) pmatrix(#x,x);
281 static void drag_rotate_delta(double dx, double dy) {
282 /* We multiple our transformation matrix by a matrix:
284 * If we just had y movement, we would rotate about x axis:
285 * rotation X = [ 1 0 0 ]
288 * where cy and sy are sin and cos of y rotation
290 * But we should pre-rotate this by a rotation about the z axis
291 * to get it to the right angle (to include x rotation). So
292 * we make cy and sy be cos() and sin(hypot(x,y)) and use
293 * with cr,sr as cos() and sin(atan2(y,y)):
295 * Ie we would do T' = R^T X R T where
296 * or T' = C T where C = R^T X R and
298 * adjustment R = [ cr sr 0 ]
303 double rotx[D3][D3], adjr[D3][D3];
307 static double temp[D3][D3], change[D3][D3];
308 static GSL_MATRIX(temp);
309 static GSL_MATRIX(change);
311 double d= hypot(dx,dy);
312 if (d < 1e-6) return;
320 printf("\n d=%g cy,sy=%g,%g cr,sr=%g,%g\n\n", d,cy,sy,cr,sr);
322 rotx[0][0]= 1; rotx[0][1]= 0; rotx[0][2]= 0;
323 rotx[1][0]= 0; rotx[1][1]= cy; rotx[1][2]= sy;
324 rotx[2][0]= 0; rotx[2][1]= -sy; rotx[2][2]= cy;
327 adjr[0][0]= cr; adjr[0][1]= sr; adjr[0][2]= 0;
328 adjr[1][0]= -sr; adjr[1][1]= cr; adjr[1][2]= 0;
329 adjr[2][0]= 0; adjr[2][1]= 0; adjr[2][2]= 1;
332 GA( gsl_blas_dgemm(CblasNoTrans,CblasNoTrans, 1.0,
337 GA( gsl_blas_dgemm(CblasTrans,CblasNoTrans, 1.0,
342 static double skew[D3][D3];
343 static GSL_MATRIX(skew);
345 GA( gsl_blas_dgemm(CblasNoTrans,CblasNoTrans, 1.0,
346 &change_gsl,&transform_gsl,
350 memcpy(&transform,&skew,sizeof(transform));
354 /* Now we want to normalise skew, the result becomes new transform */
355 double svd_v[D3][D3];
358 double sigma[D3], tau[D3];
362 /* We use notation from Wikipedia Polar_decomposition
363 * Wikipedia's W is GSL's U
364 * Wikipedia's Sigma is GSL's S
365 * Wikipedia's V is GSL's V
366 * Wikipedia's U is our desired result
367 * Wikipedia which says if the SVD is A = W Sigma V*
368 * then the polar decomposition is A = U P
369 * where P = V Sigma V*
373 GA( gsl_linalg_SV_decomp(&skew_gsl, &svd_v_gsl, &sigma_gsl, &tau_gsl) );
375 pvector("Sigma",sigma);
378 /* We only need U, not P. */
379 GA( gsl_blas_dgemm(CblasNoTrans,CblasTrans, 1.0,
380 &skew_gsl,&svd_v_gsl,
381 0.0,&transform_gsl) );
383 pmatrix("U", transform);
385 printf("drag_rotate_delta...\n");
388 DRAG_SAVING(rotate, transform);
390 static void drag_sizeadj_delta(double dx, double dy) {
391 sizeadj_scale *= pow(3.0, -dy);
394 DRAG_SAVING(sizeadj, sizeadj_scale);
396 static void drag_3d_delta(double dx, double dy) {
397 const double min_eyes_apart= -0.02;
398 eyes_apart += dx * 0.1;
399 if (eyes_apart < min_eyes_apart) eyes_apart= min_eyes_apart;
400 printf("sizeadj eyes_apart %g\n", eyes_apart);
403 DRAG_SAVING(3d, eyes_apart);
405 static const Drag *drag= &drag_none;
407 static int drag_last_x, drag_last_y;
409 static void drag_position(int x, int y) {
410 drag->delta((x - drag_last_x) * 1.0 / wmaxdim,
411 (y - drag_last_y) * 1.0 / wmaxdim);
416 static void event_button(XButtonEvent *e) {
417 if (e->window != window || !e->same_screen) return;
418 if (e->type == ButtonPress) {
419 if (e->state || drag != &drag_none) {
420 printf("drag=%s press state=0x%lx abandon\n",
421 drag->name, (unsigned long)e->state);
427 case Button1: drag= &drag_rotate; break;
428 case Button2: drag= &drag_sizeadj; break;
429 case Button3: drag= &drag_3d; break;
430 default: printf("unknown drag start %d\n", e->button);
432 printf("drag=%s press button=%lu start %d,%d\n",
433 drag->name, (unsigned long)e->button, e->x, e->y);
438 if (e->type == ButtonRelease) {
439 printf("drag=%s release %d,%d\n", drag->name, e->x, e->y);
440 drag_position(e->x, e->y);
446 static void event_motion(int x, int y) {
447 printf("drag=%s motion %d,%d\n", drag->name, x, y);
451 static void event_config(XConfigureEvent *e) {
452 if (e->width == wwidth && e->height == wheight)
455 wwidth= e->width; wheight= e->height;
456 wmaxdim= wwidth > wheight ? wwidth : wheight;
457 wmindim= wwidth < wheight ? wwidth : wheight;
459 XA( XSetWindowBackground(display,window,BlackPixel(display,x11screen)) );
460 for (currentbuffer=0; currentbuffer<2; currentbuffer++)
461 XA( XFreePixmap(display, doublebuffers[currentbuffer]) );
467 int main(int argc, const char *const *argv) {
470 int motion_deferred=0, motion_x=-1, motion_y=-1;
472 if (argc != 2 || argv[1][0]=='-') {
473 fputs("need filename\n",stderr); exit(8);
475 input_filename= argv[1];
478 K transform[k][k]= 1.0;
482 XMapWindow(display,window);
484 if (motion_deferred) {
485 int r= XCheckMaskEvent(display,~0UL,&event);
487 event_motion(motion_x, motion_y);
492 XNextEvent(display,&event);
494 switch (event.type) {
497 case ButtonRelease: event_button(&event.xbutton); break;
499 case ConfigureNotify: event_config(&event.xconfigure); break;
502 motion_x= event.xmotion.x;
503 motion_y= event.xmotion.y;
508 printf("unknown event type %u 0x%x\n", event.type,event.type);