Computation of the Jones polynomial

.gitignore

@@ -1,5 +1,9 @@
+#*
 *~
 *.o
+GPATH
+GRTAGS
+GTAGS
 /kk
 /main
 /testsurfaces

Makefile

@@ -4,9 +4,9 @@ devel = 1
 BISON = bison
 FLEX = flex
 
-# CXX = g++
+CXX = g++ -std=c++11
 # CXX = OMPI_CXX=clang++ mpic++ -fno-color-diagnostics --stdlib=libc++ --std=c++11 -I/u/cseed/llvm-3.1/lib/c++/v1
-CXX = clang++ -fno-color-diagnostics --stdlib=libc++ --std=c++11
+#CXX = clang++ -fno-color-diagnostics --stdlib=libc++ --std=c++11
 
 INCLUDES = -I. -I/opt/local/include 
 

algebra/Z.h

@@ -155,7 +155,7 @@ class Z
     return mpz_divisible_p (num.impl->x, impl->x);
   }
   bool operator | (const Z &num) const { return divides (num); }
-  
+
   Z divide_exact (const Z &denom) const
   {
     // num = *this

kk.cpp

@@ -251,6 +251,37 @@ compute_gss ()
   tex_footer ();
 }
 
+multivariate_laurentpoly<Q> compute_jones(const knot_diagram& k, bool reduced) {
+    cube<Z2> c(kd, reduced);
+    multivariate_laurentpoly<Q> jones;
+    for(uint i = 1; i <= c.n_generators; ++i) {
+      grading gr = c.compute_generator_grading(i);
+      if(gr.h % 2 == 0) {
+	jones += multivariate_laurentpoly<Q>(1, VARIABLE, 1, gr.q);
+      }
+      else {
+	jones += multivariate_laurentpoly<Q>(-1, VARIABLE, 1, gr.q);
+      }
+    }
+    return jones;
+}
+
+void compute_khp(const knot_diagram& k, bool reduced) {
+  cube<Z2> c(kd,reduced);
+  ptr<const module<Z2> > C = c.khC;
+  mod_map<Z2> d = c.compute_d(1, 0, 0, 0, 0);
+  chain_complex_simplifier<Z2> s(C, d, maybe<int>(1), maybe<int>(0));
+  C = s.new_C;
+  d = s.new_d;
+  C->show_self();
+  //multivariate_laurentpoly<Q> khp;
+  //for(uint i = 1; i <= c.n_generators; ++i) {
+  //  grading gr = c.compute_generator_grading(i);
+  //  khp += multivariate_laurentpoly<Q>(1, VARIABLE, gr.h, gr.q);
+  //}
+  printf("The Poincare polynomial \n");
+}
+
 template<class R> void
 compute_invariant ()
 {
@@ -663,12 +694,12 @@ main (int argc, char **argv)
   
   kd = parse_knot (knot);
   kd.marked_edge = 1;
-  
-	if (!strcmp (invariant, "gauss"))
-		{
-	   basedvector<basedvector<int, 1>, 1> gc = kd.as_gauss_code ();
-	   for (unsigned i = 1; i <= gc.size (); i ++)
-	 {
+
+  if (!strcmp (invariant, "gauss"))
+  {
+    basedvector<basedvector<int, 1>, 1> gc = kd.as_gauss_code ();
+    for (unsigned i = 1; i <= gc.size (); i ++)
+    {
 	   if (i > 1)
 	     printf (":");
 	   for (unsigned j = 1; j <= gc[i].size (); j ++)
@@ -701,6 +732,18 @@ main (int argc, char **argv)
       
       compute_gss ();
     }
+  else if(!strcmp(invariant, "jones")) {
+    multivariate_laurentpoly<Q> jones_pol = compute_jones(kd, reduced);
+    printf("Jones polynomial of %s is equal to:\n", knot);
+    jones_pol.show_self();
+    printf("\n");
+  }
+  else if(!strcmp(invariant, "przytycki_cong")) {
+    multivariate_laurentpoly<Q> jones_pol = compute_jones(kd, reduced);
+  }
+  else if(!strcmp(invariant, "khp")) {
+    compute_khp(kd, reduced);
+  }
   else
     {
       if (!strcmp (field, "Z2"))

knot_tables.cpp

@@ -1,8 +1,6 @@
 
 #include <knotkit.h>
 
-#define HOME "/Users/josh/Documents/code/knotkit/"
-
 bool verbose = 0;
 
 static const struct {