more precise torus-rug rendering

fieldpattern.cpp

@@ -720,6 +720,66 @@ fpattern& getcurrfp() {
   return fp43;
   }
 
+// extra information for field quotient extra configuration
+
+struct primeinfo {
+  int p;
+  int cells;
+  bool squared;
+  };  
+
+struct fgeomextra {
+  eGeometry base;
+  vector<primeinfo> primes;
+  int current_prime_id;
+  fgeomextra(eGeometry b, int i) : base(b), current_prime_id(i) {}
+  };
+
+vector<fgeomextra> fgeomextras = {
+  fgeomextra(gNormal, 3),
+  fgeomextra(gOctagon, 1),
+  fgeomextra(g45, 0),
+  fgeomextra(g46, 3),
+  fgeomextra(g47, 0)
+  };
+
+int current_extra = 0;
+
+void nextPrime(fgeomextra& ex) {
+  dynamicval<eGeometry> g(geometry, ex.base);
+  int nextprime;
+  if(size(ex.primes))
+    nextprime = ex.primes.back().p + 1;
+  else
+    nextprime = 2;
+  while(true) {
+    fieldpattern::fpattern fp(0);
+    fp.Prime = nextprime;
+    if(fp.solve() == 0) {
+      fp.build();
+      ex.primes.emplace_back(primeinfo{nextprime, size(fp.matrices) / S7, (bool) fp.wsquare});
+      break;
+      }
+    nextprime++;
+    }
+  }
+
+void nextPrimes(fgeomextra& ex) {
+  while(size(ex.primes) < 4) 
+    nextPrime(ex);
+  }
+
+void enableFieldChange() {
+  fgeomextra& gxcur = fgeomextras[current_extra];
+  fieldpattern::quotient_field_changed = true;
+  nextPrimes(gxcur);
+  dynamicval<eGeometry> g(geometry, gQuotient2);
+  ginf[geometry].sides = ginf[gxcur.base].sides;
+  ginf[geometry].vertex = ginf[gxcur.base].vertex;
+  ginf[geometry].distlimit = ginf[gxcur.base].distlimit;
+  fieldpattern::current_quotient_field.init(gxcur.primes[gxcur.current_prime_id].p);
+  }
+
 }
 
 #define currfp fieldpattern::getcurrfp()
@@ -727,3 +787,4 @@ fpattern& getcurrfp() {
 int currfp_gmul(int a, int b) { return currfp.gmul(a,b); }
 int currfp_inverses(int i) { return currfp.inverses[i]; }
 int currfp_distwall(int i) { return currfp.distwall[i]; }
+

geom-exp.cpp

@@ -29,67 +29,8 @@ string euchelp =
 
 int ewhichscreen = 2;
 
-// extra information for field quotient extra configuration
-
-struct primeinfo {
-  int p;
-  int cells;
-  bool squared;
-  };  
-
-struct fgeomextra {
-  eGeometry base;
-  vector<primeinfo> primes;
-  int current_prime_id;
-  fgeomextra(eGeometry b, int i) : base(b), current_prime_id(i) {}
-  };
-
-vector<fgeomextra> fgeomextras = {
-  fgeomextra(gNormal, 3),
-  fgeomextra(gOctagon, 1),
-  fgeomextra(g45, 0),
-  fgeomextra(g46, 3),
-  fgeomextra(g47, 0)
-  };
-
-int current_extra = 0;
-
-void nextPrime(fgeomextra& ex) {
-  dynamicval<eGeometry> g(geometry, ex.base);
-  int nextprime;
-  if(size(ex.primes))
-    nextprime = ex.primes.back().p + 1;
-  else
-    nextprime = 2;
-  while(true) {
-    fieldpattern::fpattern fp(0);
-    fp.Prime = nextprime;
-    if(fp.solve() == 0) {
-      fp.build();
-      ex.primes.emplace_back(primeinfo{nextprime, size(fp.matrices) / S7, (bool) fp.wsquare});
-      break;
-      }
-    nextprime++;
-    }
-  }
-
-void nextPrimes(fgeomextra& ex) {
-  while(size(ex.primes) < 4) 
-    nextPrime(ex);
-  }
-
-void enableFieldChange() {
-  fgeomextra& gxcur = fgeomextras[current_extra];
-  fieldpattern::quotient_field_changed = true;
-  nextPrimes(gxcur);
-  dynamicval<eGeometry> g(geometry, gQuotient2);
-  ginf[geometry].sides = ginf[gxcur.base].sides;
-  ginf[geometry].vertex = ginf[gxcur.base].vertex;
-  ginf[geometry].distlimit = ginf[gxcur.base].distlimit;
-  fieldpattern::current_quotient_field.init(gxcur.primes[gxcur.current_prime_id].p);
-  }
-
 void showQuotientConfig() {
+  using namespace fieldpattern;
   gamescreen(2);
   dialog::init(XLAT("advanced configuration"));
   fgeomextra& gxcur = fgeomextras[current_extra];

hyper.h

@@ -1243,7 +1243,7 @@ void fullcenter();
 void movecost(cell* from, cell *to);
 void checkmove();
 
-transmatrix eumove(int x, int y);
+transmatrix eumove(ld x, ld y);
 transmatrix eumovedir(int d);
 
 int reptilemax();

hypgraph.cpp

@@ -363,7 +363,7 @@ void drawrec(const heptspin& hs, int lev, hstate s, const transmatrix& V) {
 
 int mindx=-7, mindy=-7, maxdx=7, maxdy=7;
   
-transmatrix eumove(int x, int y) {
+transmatrix eumove(ld x, ld y) {
   transmatrix Mat = Id;
   Mat[2][2] = 1;
   Mat[0][2] += (x + y * .5) * eurad;

rug.cpp

@@ -34,6 +34,7 @@ GLAPI void APIENTRY glDeleteFramebuffers (GLsizei n, const GLuint *framebuffers)
 namespace rug {
 
 double rugzoom = .3;
+int torus_precision = 2;
 
 // hypersian rug datatypes and globals
 //-------------------------------------
@@ -204,7 +205,7 @@ void buildTorusRug() {
   transmatrix z2 = inverse(z1);
   printf("h1 = %s\n", display(z2 * hyperpoint {22,1,0}));
   
-  auto addToruspoint = [&] (int x, int y) {
+  auto addToruspoint = [&] (ld x, ld y) {
     auto r = addRugpoint(C0, 0);
     hyperpoint onscreen;
     applymodel(tC0(eumove(x, y)), onscreen);
@@ -227,14 +228,20 @@ void buildTorusRug() {
     return r;
     };
   
+  int rugmax = min(torus_precision, 16);
+  ld rmd = rugmax;
+    
   for(int i=0; i<qty; i++) {
     int x = tps[i].x, y = tps[i].y;
-    auto r00 = addToruspoint(x, y);
+    rugpoint *rugarr[32][32];
-    auto r10 = addToruspoint(x+1, y);
+    for(int yy=0; yy<=rugmax; yy++)
-    auto r01 = addToruspoint(x, y+1);
+    for(int xx=0; xx<=rugmax; xx++)
-    auto rn1 = addToruspoint(x-1, y+1);
+      rugarr[yy][xx] = addToruspoint(x+(xx-yy)/rmd, y+yy/rmd);
-    addTriangle(r00, r10, r01);
+    
-    addTriangle(r00, r01, rn1);
+    for(int yy=0; yy<rugmax; yy++)
+    for(int xx=0; xx<rugmax; xx++)
+      addTriangle(rugarr[yy][xx], rugarr[yy+1][xx], rugarr[yy+1][xx+1]),
+      addTriangle(rugarr[yy][xx], rugarr[yy][xx+1], rugarr[yy+1][xx+1]);
     }
   
   double maxz = 0;
@@ -824,6 +831,11 @@ void show() {
   dialog::addBoolItem(XLAT("render the texture only once"), (renderonce), 'o');
   dialog::addBoolItem(XLAT("render texture without OpenGL"), (rendernogl), 'g');  
   dialog::addSelItem(XLAT("texture size"), its(texturesize)+"x"+its(texturesize), 's');
+  if(torus) {
+    if(torus_precision < 1) torus_precision = 1;
+    if(torus_precision > 16) torus_precision = 16;
+    dialog::addSelItem(XLAT("precision"), its(torus_precision), 'p');
+    }
   dialog::display();
   keyhandler = [] (int sym, int uni) {
   #if ISPANDORA
@@ -850,6 +862,8 @@ void show() {
       }
     else if(uni == 'o')
       renderonce = !renderonce;
+    else if(uni == 'p' && torus_precision)
+      dialog::editNumber(torus_precision, 0, 16, 1, 2, "precision", "precision");
   #if !ISPANDORA
     else if(uni == 'g')
       rendernogl = !rendernogl;