Fixed crash on disconnected braid and possible loss of orientation
information when building braids. knot parser supports disjoint union (juxtaposition). Minor documentation changes.
This commit is contained in:
Cotton Seed
parent
dc11fd082c
commit
36e0303fca
11
README
11
README
@ -106,13 +106,17 @@ usage: kk <invariant> [options...] <link>
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<invariant> can be one of:
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kh: Khovanov homology
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gss: Szabo's geometric spectral sequence
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ls: Batson-Seed link splitting spectral sequence
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lsss: Batson-Seed link splitting spectral sequence
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component weights are 0, 1, ..., m
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sq2: Lipshitz-Sarkar Steenrod square on Z/2 Kh
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output suitable for Sage
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leess: spectral sequence coming from Bar-Natan analogue of Lee's
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deformation of Khovanov's complex (whew!)
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s: Rasmussen's s-invariant coming from lee
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output:
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kh, gss, lsss, leess: .tex file
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sq2: text in Sage format
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s: text
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options:
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-r : compute reduced theory
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-h : print this message
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@ -128,7 +132,7 @@ options:
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- a torus knot, e.g. T(2,3)
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- a Rolfsen table knot, e.g. 10_124
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- a Hoste-Thistlethwaite-Weeks knot, e.g. 11a12 or 12n214
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- a Morwen Thistlethwaite link, e.g. L9a21 or L14n7631
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- a Morwen Thistlethwaite link, e.g. L8n9 or L13n8862
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- a planar diagram, e.g.
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PD[X[1, 4, 2, 5], X[3, 6, 4, 1], X[5, 2, 6, 3]] or
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PD[[1, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3]]
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@ -137,6 +141,7 @@ options:
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DT[dadbcda] or
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DT[{6, -8}, {-10, 12, -14, 2, -4}]
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- a braid, e.g. BR[2, {-1, -1, -1}]
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- disjoint union (juxtaposition), e.g. T(2,3) U
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4. UPCOMING CHANGES
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@ -145,7 +150,7 @@ The following changes are currently planned:
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* support for Z/p, p arbitrary prime and F(x) field of rational functions
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* Roberts' totally twisted Khovanov homology
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* the E^3 page of the twisted spectral sequence Kh(L) => \widehat{HF}(\Sigma_L)
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* spectral sequences of PIDs: ls over F[x], gss over Z
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* spectral sequences of PIDs: lsss over F[x], gss over Z
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* maps induced by cobordisms
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5. FOR DEVELOPERS
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12
kk.cpp
12
kk.cpp
@ -11,13 +11,17 @@ usage ()
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printf ("<invariant> can be one of:\n");
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printf (" kh: Khovanov homology\n");
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printf (" gss: Szabo's geometric spectral sequence\n");
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printf (" ls: Batson-Seed link splitting spectral sequence\n");
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printf (" lsss: Batson-Seed link splitting spectral sequence\n");
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printf (" component weights are 0, 1, ..., m\n");
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printf (" sq2: Lipshitz-Sarkar Steenrod square on Z/2 Kh\n");
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printf (" output suitable for Sage\n");
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printf (" leess: spectral sequence coming from Bar-Natan analogue of Lee's\n");
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printf (" deformation of Khovanov's complex (whew!)\n");
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printf (" s: Rasmussen's s-invariant coming from lee\n");
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printf ("output:\n");
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printf (" kh, gss, lsss, leess: .tex file\n");
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printf (" sq2: text in Sage format\n");
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printf (" s: text\n");
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printf ("options:\n");
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printf (" -r : compute reduced theory\n");
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printf (" -h : print this message\n");
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@ -33,7 +37,7 @@ usage ()
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printf (" - a torus knot, e.g. T(2,3)\n");
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printf (" - a Rolfsen table knot, e.g. 10_124\n");
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printf (" - a Hoste-Thistlethwaite-Weeks knot, e.g. 11a12 or 12n214\n");
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printf (" - a Morwen Thistlethwaite link, e.g. L9a21 or L14n7631\n");
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printf (" - a Morwen Thistlethwaite link, e.g. L8n9 or L13n8862\n");
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printf (" - a planar diagram, e.g.\n");
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printf (" PD[X[1, 4, 2, 5], X[3, 6, 4, 1], X[5, 2, 6, 3]] or\n");
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printf (" PD[[1, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3]]\n");
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@ -42,6 +46,7 @@ usage ()
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printf (" DT[dadbcda] or\n");
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printf (" DT[{6, -8}, {-10, 12, -14, 2, -4}]\n");
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printf (" - a braid, e.g. BR[2, {-1, -1, -1}]\n");
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printf (" - disjoint union (juxtaposition), e.g. T(2,3) U\n");
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}
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FILE *outfp = stdout;
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@ -317,10 +322,11 @@ compute_invariant ()
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sseq ss (b, pages);
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tex_header ();
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fprintf (outfp, "$E_k = %s^{BS}_k(\\verb~%s~; \\verb~%s~)$:\\\\\n",
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fprintf (outfp, "$E_k = %s^{BS}_k({}^{%d}\\verb~%s~; \\verb~%s~)$:\\\\\n",
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(reduced
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? "\\widetilde{E}"
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: "E"),
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m,
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knot,
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field);
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ss.texshow (outfp, mapper);
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@ -1,4 +1,14 @@
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// for building knot_diagram
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inline unsigned edge_from_ept (unsigned e)
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{
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return e * 2 - 1;
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}
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inline unsigned edge_to_ept (unsigned e)
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{
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return e * 2;
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}
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static inline unsigned
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add_base1_mod4 (unsigned x, unsigned y)
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{
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@ -52,7 +52,7 @@
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YY_DECL;
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/* Line 285 of lalr1.cc */
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#line 29 "knot_parser/knot_parser.yy"
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#line 30 "knot_parser/knot_parser.yy"
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#define yylex knot_yylex
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@ -416,16 +416,35 @@ namespace yy {
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YY_REDUCE_PRINT (yyn);
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switch (yyn)
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{
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case 10:
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case 2:
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/* Line 661 of lalr1.cc */
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#line 67 "knot_parser/knot_parser.yy"
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#line 60 "knot_parser/knot_parser.yy"
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{
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parsed_knot = *(yysemantic_stack_[(1) - (1)].kd);
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delete (yysemantic_stack_[(1) - (1)].kd);
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}
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break;
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case 4:
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/* Line 661 of lalr1.cc */
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#line 69 "knot_parser/knot_parser.yy"
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{
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(yyval.kd) = new knot_diagram (DISJOINT_UNION, *(yysemantic_stack_[(2) - (1)].kd), *(yysemantic_stack_[(2) - (2)].kd));
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delete (yysemantic_stack_[(2) - (1)].kd);
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delete (yysemantic_stack_[(2) - (2)].kd);
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}
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break;
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case 13:
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/* Line 661 of lalr1.cc */
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#line 89 "knot_parser/knot_parser.yy"
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{
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unsigned n = (yysemantic_stack_[(3) - (1)].integer),
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k = (yysemantic_stack_[(3) - (3)].integer);
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if (n >= 1 && n <= 10
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&& k >= 1 && k <= rolfsen_crossing_knots (n))
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parsed_knot = knot_diagram (rolfsen_knot (n, k));
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(yyval.kd) = new knot_diagram (rolfsen_knot (n, k));
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else
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{
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fprintf (stderr, "knot_parser: no such Rolfsen knot `%d_%d'\n",
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@ -435,9 +454,9 @@ namespace yy {
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}
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break;
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case 11:
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case 14:
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/* Line 661 of lalr1.cc */
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#line 85 "knot_parser/knot_parser.yy"
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#line 107 "knot_parser/knot_parser.yy"
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{
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unsigned n = (yysemantic_stack_[(3) - (1)].integer),
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k = (yysemantic_stack_[(3) - (3)].integer);
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@ -445,7 +464,7 @@ namespace yy {
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if (n >= 1 && n <= 16
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&& k >= 1 && k <= htw_knots (n, alt))
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parsed_knot = knot_diagram (htw_knot (n, alt, k));
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(yyval.kd) = new knot_diagram (htw_knot (n, alt, k));
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else
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{
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fprintf (stderr, "knot_parser: no such HTW knot `%d%c%d'\n",
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@ -455,9 +474,9 @@ namespace yy {
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}
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break;
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case 12:
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case 15:
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/* Line 661 of lalr1.cc */
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#line 104 "knot_parser/knot_parser.yy"
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#line 126 "knot_parser/knot_parser.yy"
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{
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unsigned n = (yysemantic_stack_[(4) - (2)].integer),
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k = (yysemantic_stack_[(4) - (4)].integer);
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@ -465,7 +484,7 @@ namespace yy {
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if (n >= 1 && n <= 14
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&& k >= 1 && k <= mt_links (n, alt))
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parsed_knot = knot_diagram (mt_link (n, alt, k));
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(yyval.kd) = new knot_diagram (mt_link (n, alt, k));
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else
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{
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fprintf (stderr, "knot_parser: no such MT link `%d%c%d'\n",
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@ -475,66 +494,66 @@ namespace yy {
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}
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break;
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case 13:
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/* Line 661 of lalr1.cc */
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#line 123 "knot_parser/knot_parser.yy"
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{ parsed_knot = knot_diagram (planar_diagram ("<parsed>", *(yysemantic_stack_[(4) - (3)].int_vec2))); }
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break;
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case 14:
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/* Line 661 of lalr1.cc */
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#line 125 "knot_parser/knot_parser.yy"
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{ parsed_knot = knot_diagram (planar_diagram ("<parsed>", *(yysemantic_stack_[(4) - (3)].int_vec2))); }
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break;
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case 15:
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/* Line 661 of lalr1.cc */
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#line 130 "knot_parser/knot_parser.yy"
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{
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basedvector<basedvector<int, 1>, 1> even_labels (1);
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even_labels[1] = *(yysemantic_stack_[(4) - (3)].int_vec);
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parsed_knot = knot_diagram (dt_code ("<parsed>", even_labels));
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}
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break;
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case 16:
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/* Line 661 of lalr1.cc */
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#line 136 "knot_parser/knot_parser.yy"
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{ parsed_knot = knot_diagram (dt_code ("<parsed>", *(yysemantic_stack_[(4) - (3)].int_vec2))); }
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#line 145 "knot_parser/knot_parser.yy"
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{ (yyval.kd) = new knot_diagram (planar_diagram ("<parsed>", *(yysemantic_stack_[(4) - (3)].int_vec2))); }
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break;
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case 17:
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/* Line 661 of lalr1.cc */
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#line 138 "knot_parser/knot_parser.yy"
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{ parsed_knot = knot_diagram (dt_code ("<parsed>", (yysemantic_stack_[(4) - (3)].string))); }
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#line 147 "knot_parser/knot_parser.yy"
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{ (yyval.kd) = new knot_diagram (planar_diagram ("<parsed>", *(yysemantic_stack_[(4) - (3)].int_vec2))); }
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break;
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case 18:
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/* Line 661 of lalr1.cc */
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#line 143 "knot_parser/knot_parser.yy"
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{ parsed_knot = knot_diagram (torus_knot ((yysemantic_stack_[(6) - (3)].integer), (yysemantic_stack_[(6) - (5)].integer))); }
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#line 152 "knot_parser/knot_parser.yy"
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{
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basedvector<basedvector<int, 1>, 1> even_labels (1);
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even_labels[1] = *(yysemantic_stack_[(4) - (3)].int_vec);
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(yyval.kd) = new knot_diagram (dt_code ("<parsed>", even_labels));
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}
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break;
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case 19:
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/* Line 661 of lalr1.cc */
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#line 148 "knot_parser/knot_parser.yy"
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{ parsed_knot = knot_diagram (braid ((yysemantic_stack_[(6) - (3)].integer), *(yysemantic_stack_[(6) - (5)].int_vec))); }
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#line 158 "knot_parser/knot_parser.yy"
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{ (yyval.kd) = new knot_diagram (dt_code ("<parsed>", *(yysemantic_stack_[(4) - (3)].int_vec2))); }
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break;
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case 20:
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/* Line 661 of lalr1.cc */
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#line 153 "knot_parser/knot_parser.yy"
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{
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unsigned unknot_ar[1][4] = {
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{ 2, 1, 3, 4, },
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};
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parsed_knot = knot_diagram ("U", 1, unknot_ar);
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}
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#line 160 "knot_parser/knot_parser.yy"
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{ (yyval.kd) = new knot_diagram (dt_code ("<parsed>", (yysemantic_stack_[(4) - (3)].string))); }
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break;
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case 21:
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/* Line 661 of lalr1.cc */
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#line 165 "knot_parser/knot_parser.yy"
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{ (yyval.kd) = new knot_diagram (torus_knot ((yysemantic_stack_[(6) - (3)].integer), (yysemantic_stack_[(6) - (5)].integer))); }
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break;
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case 22:
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/* Line 661 of lalr1.cc */
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#line 170 "knot_parser/knot_parser.yy"
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{ (yyval.kd) = new knot_diagram (braid ((yysemantic_stack_[(6) - (3)].integer), *(yysemantic_stack_[(6) - (5)].int_vec))); }
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break;
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case 23:
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/* Line 661 of lalr1.cc */
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#line 168 "knot_parser/knot_parser.yy"
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#line 175 "knot_parser/knot_parser.yy"
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{
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unsigned unknot_ar[1][4] = {
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{ 2, 1, 3, 4, },
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};
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(yyval.kd) = new knot_diagram ("U", 1, unknot_ar);
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}
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break;
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case 26:
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/* Line 661 of lalr1.cc */
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#line 190 "knot_parser/knot_parser.yy"
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{
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basedvector<basedvector<int, 1>, 1> *v
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= new basedvector<basedvector<int, 1>, 1> ();
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@ -543,9 +562,9 @@ namespace yy {
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}
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break;
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case 24:
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case 27:
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/* Line 661 of lalr1.cc */
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#line 175 "knot_parser/knot_parser.yy"
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#line 197 "knot_parser/knot_parser.yy"
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{
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basedvector<basedvector<int, 1>, 1> *v = (yysemantic_stack_[(3) - (1)].int_vec2);
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v->append (*(yysemantic_stack_[(3) - (3)].int_vec));
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@ -553,21 +572,21 @@ namespace yy {
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}
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break;
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case 25:
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case 28:
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/* Line 661 of lalr1.cc */
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#line 184 "knot_parser/knot_parser.yy"
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#line 206 "knot_parser/knot_parser.yy"
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{ (yyval.int_vec) = (yysemantic_stack_[(3) - (2)].int_vec); }
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break;
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case 26:
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case 29:
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/* Line 661 of lalr1.cc */
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#line 186 "knot_parser/knot_parser.yy"
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#line 208 "knot_parser/knot_parser.yy"
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{ (yyval.int_vec) = (yysemantic_stack_[(3) - (2)].int_vec); }
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break;
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case 27:
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case 30:
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/* Line 661 of lalr1.cc */
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#line 191 "knot_parser/knot_parser.yy"
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#line 213 "knot_parser/knot_parser.yy"
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{
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basedvector<int, 1> *v =
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new basedvector<int, 1> ();
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@ -576,9 +595,9 @@ namespace yy {
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}
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break;
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case 28:
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case 31:
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/* Line 661 of lalr1.cc */
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#line 198 "knot_parser/knot_parser.yy"
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#line 220 "knot_parser/knot_parser.yy"
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{
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basedvector<int, 1> *v = (yysemantic_stack_[(3) - (1)].int_vec);
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v->append ((yysemantic_stack_[(3) - (3)].integer));
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@ -586,9 +605,9 @@ namespace yy {
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}
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break;
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case 29:
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case 32:
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/* Line 661 of lalr1.cc */
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#line 207 "knot_parser/knot_parser.yy"
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#line 229 "knot_parser/knot_parser.yy"
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{
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basedvector<basedvector<int, 1>, 1> *v
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= new basedvector<basedvector<int, 1>, 1> ();
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@ -597,9 +616,9 @@ namespace yy {
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}
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break;
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case 30:
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case 33:
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/* Line 661 of lalr1.cc */
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#line 214 "knot_parser/knot_parser.yy"
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#line 236 "knot_parser/knot_parser.yy"
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{
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basedvector<basedvector<int, 1>, 1> *v = (yysemantic_stack_[(3) - (1)].int_vec2);
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v->append (*(yysemantic_stack_[(3) - (3)].int_vec));
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@ -607,9 +626,9 @@ namespace yy {
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}
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break;
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case 31:
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case 34:
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/* Line 661 of lalr1.cc */
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#line 223 "knot_parser/knot_parser.yy"
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#line 245 "knot_parser/knot_parser.yy"
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{
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basedvector<int, 1> *v
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= new basedvector<int, 1> ();
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@ -623,7 +642,7 @@ namespace yy {
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/* Line 661 of lalr1.cc */
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#line 627 "knot_parser/knot_parser.cc"
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#line 646 "knot_parser/knot_parser.cc"
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default:
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break;
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}
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@ -809,18 +828,18 @@ namespace yy {
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/* YYPACT[STATE-NUM] -- Index in YYTABLE of the portion describing
|
||||
STATE-NUM. */
|
||||
const signed char knot_parser::yypact_ninf_ = -36;
|
||||
const signed char knot_parser::yypact_ninf_ = -39;
|
||||
const signed char
|
||||
knot_parser::yypact_[] =
|
||||
{
|
||||
-1, 10, -9, 25, 26, 37, 9, -36, 43, -36,
|
||||
-36, -36, -36, -36, -36, -36, -36, -36, -36, 41,
|
||||
42, -7, -3, 44, 24, 45, -36, -36, -36, 30,
|
||||
46, 46, 7, -36, 11, -36, -36, 33, 12, 15,
|
||||
-4, 48, 34, 49, 16, -2, -36, 0, -36, 47,
|
||||
-36, -36, -36, 51, 0, -36, 53, 38, -36, -36,
|
||||
-36, -36, -36, 50, 39, 55, -36, -36, 52, 57,
|
||||
54, 58, 59, -36
|
||||
-1, 10, -9, 25, 26, 37, 9, -39, 43, -1,
|
||||
-39, -39, -39, -39, -39, -39, -39, -39, -39, -39,
|
||||
-39, 41, 42, -7, -3, 44, 24, 45, -39, -1,
|
||||
-39, -39, 30, 46, 46, 7, -39, 11, -39, -39,
|
||||
33, 12, 15, -4, 48, 34, 49, 16, -2, -39,
|
||||
0, -39, 47, -39, -39, -39, 51, 0, -39, 53,
|
||||
38, -39, -39, -39, -39, -39, 50, 39, 55, -39,
|
||||
-39, 52, 57, 54, 58, 59, -39
|
||||
};
|
||||
|
||||
/* YYDEFACT[S] -- default reduction number in state S. Performed when
|
||||
@ -829,30 +848,30 @@ namespace yy {
|
||||
const unsigned char
|
||||
knot_parser::yydefact_[] =
|
||||
{
|
||||
0, 0, 0, 0, 0, 0, 0, 20, 0, 2,
|
||||
3, 4, 5, 6, 7, 9, 8, 21, 22, 0,
|
||||
0, 0, 0, 0, 0, 0, 1, 10, 11, 0,
|
||||
0, 0, 0, 23, 0, 29, 27, 0, 0, 0,
|
||||
0, 0, 0, 0, 0, 0, 13, 0, 14, 0,
|
||||
17, 16, 15, 0, 0, 12, 0, 0, 26, 25,
|
||||
24, 30, 28, 0, 0, 0, 19, 18, 0, 0,
|
||||
0, 0, 0, 31
|
||||
0, 0, 0, 0, 0, 0, 0, 23, 0, 2,
|
||||
3, 5, 6, 7, 8, 9, 10, 12, 11, 24,
|
||||
25, 0, 0, 0, 0, 0, 0, 0, 1, 4,
|
||||
13, 14, 0, 0, 0, 0, 26, 0, 32, 30,
|
||||
0, 0, 0, 0, 0, 0, 0, 0, 0, 16,
|
||||
0, 17, 0, 20, 19, 18, 0, 0, 15, 0,
|
||||
0, 29, 28, 27, 33, 31, 0, 0, 0, 22,
|
||||
21, 0, 0, 0, 0, 0, 34
|
||||
};
|
||||
|
||||
/* YYPGOTO[NTERM-NUM]. */
|
||||
const signed char
|
||||
knot_parser::yypgoto_[] =
|
||||
{
|
||||
-36, -36, -36, -36, -36, -36, -36, -36, -36, -36,
|
||||
40, 56, -35, 8, -36, 13
|
||||
-39, -39, 62, -39, -39, -39, -39, -39, -39, -39,
|
||||
-39, -39, 40, 56, -38, 5, -39, 13
|
||||
};
|
||||
|
||||
/* YYDEFGOTO[NTERM-NUM]. */
|
||||
const signed char
|
||||
knot_parser::yydefgoto_[] =
|
||||
{
|
||||
-1, 8, 9, 10, 11, 12, 13, 14, 15, 16,
|
||||
20, 32, 33, 39, 34, 35
|
||||
-1, 8, 29, 10, 11, 12, 13, 14, 15, 16,
|
||||
17, 18, 22, 35, 36, 42, 37, 38
|
||||
};
|
||||
|
||||
/* YYTABLE[YYPACT[STATE-NUM]]. What to do in state STATE-NUM. If
|
||||
@ -862,14 +881,15 @@ namespace yy {
|
||||
const unsigned char
|
||||
knot_parser::yytable_[] =
|
||||
{
|
||||
36, 29, 1, 2, 3, 4, 5, 21, 6, 30,
|
||||
7, 37, 60, 30, 31, 54, 30, 53, 31, 63,
|
||||
59, 31, 17, 18, 46, 19, 47, 25, 48, 51,
|
||||
49, 47, 52, 58, 53, 53, 17, 18, 44, 45,
|
||||
24, 22, 23, 26, 27, 28, 43, 40, 42, 36,
|
||||
50, 55, 57, 56, 62, 29, 64, 65, 68, 67,
|
||||
70, 72, 61, 0, 41, 0, 0, 66, 0, 0,
|
||||
0, 69, 0, 71, 0, 0, 73, 0, 38
|
||||
39, 32, 1, 2, 3, 4, 5, 23, 6, 33,
|
||||
7, 40, 63, 33, 34, 57, 33, 56, 34, 66,
|
||||
62, 34, 19, 20, 49, 21, 50, 27, 51, 54,
|
||||
52, 50, 55, 61, 56, 56, 19, 20, 47, 48,
|
||||
26, 24, 25, 28, 30, 31, 46, 43, 45, 39,
|
||||
53, 58, 60, 59, 65, 32, 67, 68, 71, 70,
|
||||
73, 75, 9, 0, 0, 64, 44, 69, 0, 0,
|
||||
0, 72, 0, 74, 0, 0, 76, 0, 0, 0,
|
||||
41
|
||||
};
|
||||
|
||||
/* YYCHECK. */
|
||||
@ -877,13 +897,14 @@ namespace yy {
|
||||
knot_parser::yycheck_[] =
|
||||
{
|
||||
3, 8, 3, 4, 5, 6, 7, 16, 9, 16,
|
||||
11, 14, 47, 16, 21, 19, 16, 19, 21, 54,
|
||||
11, 14, 50, 16, 21, 19, 16, 19, 21, 57,
|
||||
22, 21, 12, 13, 17, 15, 19, 18, 17, 17,
|
||||
19, 19, 17, 17, 19, 19, 12, 13, 30, 31,
|
||||
19, 19, 17, 17, 19, 19, 12, 13, 33, 34,
|
||||
3, 16, 16, 0, 3, 3, 16, 3, 3, 3,
|
||||
17, 3, 3, 19, 3, 8, 3, 19, 3, 20,
|
||||
3, 3, 49, -1, 24, -1, -1, 17, -1, -1,
|
||||
-1, 19, -1, 19, -1, -1, 17, -1, 22
|
||||
3, 3, 0, -1, -1, 52, 26, 17, -1, -1,
|
||||
-1, 19, -1, 19, -1, -1, 17, -1, -1, -1,
|
||||
24
|
||||
};
|
||||
|
||||
/* STOS_[STATE-NUM] -- The (internal number of the) accessing
|
||||
@ -892,13 +913,13 @@ namespace yy {
|
||||
knot_parser::yystos_[] =
|
||||
{
|
||||
0, 3, 4, 5, 6, 7, 9, 11, 24, 25,
|
||||
26, 27, 28, 29, 30, 31, 32, 12, 13, 15,
|
||||
33, 16, 16, 16, 3, 18, 0, 3, 3, 8,
|
||||
16, 21, 34, 35, 37, 38, 3, 14, 34, 36,
|
||||
3, 33, 3, 16, 36, 36, 17, 19, 17, 19,
|
||||
17, 17, 17, 19, 19, 3, 19, 3, 17, 22,
|
||||
35, 38, 3, 35, 3, 19, 17, 20, 3, 19,
|
||||
3, 19, 3, 17
|
||||
26, 27, 28, 29, 30, 31, 32, 33, 34, 12,
|
||||
13, 15, 35, 16, 16, 16, 3, 18, 0, 25,
|
||||
3, 3, 8, 16, 21, 36, 37, 39, 40, 3,
|
||||
14, 36, 38, 3, 35, 3, 16, 38, 38, 17,
|
||||
19, 17, 19, 17, 17, 17, 19, 19, 3, 19,
|
||||
3, 17, 22, 37, 40, 3, 37, 3, 19, 17,
|
||||
20, 3, 19, 3, 19, 3, 17
|
||||
};
|
||||
|
||||
#if YYDEBUG
|
||||
@ -917,20 +938,20 @@ namespace yy {
|
||||
const unsigned char
|
||||
knot_parser::yyr1_[] =
|
||||
{
|
||||
0, 23, 24, 24, 24, 24, 24, 24, 24, 24,
|
||||
25, 26, 27, 28, 28, 29, 29, 29, 30, 31,
|
||||
32, 33, 33, 34, 34, 35, 35, 36, 36, 37,
|
||||
37, 38
|
||||
0, 23, 24, 25, 25, 26, 26, 26, 26, 26,
|
||||
26, 26, 26, 27, 28, 29, 30, 30, 31, 31,
|
||||
31, 32, 33, 34, 35, 35, 36, 36, 37, 37,
|
||||
38, 38, 39, 39, 40
|
||||
};
|
||||
|
||||
/* YYR2[YYN] -- Number of symbols composing right hand side of rule YYN. */
|
||||
const unsigned char
|
||||
knot_parser::yyr2_[] =
|
||||
{
|
||||
0, 2, 1, 1, 1, 1, 1, 1, 1, 1,
|
||||
3, 3, 4, 4, 4, 4, 4, 4, 6, 6,
|
||||
1, 1, 1, 1, 3, 3, 3, 1, 3, 1,
|
||||
3, 10
|
||||
0, 2, 1, 1, 2, 1, 1, 1, 1, 1,
|
||||
1, 1, 1, 3, 3, 4, 4, 4, 4, 4,
|
||||
4, 6, 6, 1, 1, 1, 1, 3, 3, 3,
|
||||
1, 3, 1, 3, 10
|
||||
};
|
||||
|
||||
#if YYDEBUG
|
||||
@ -941,8 +962,8 @@ namespace yy {
|
||||
{
|
||||
"\"end of file\"", "error", "$undefined", "INT", "PD", "DT", "BR",
|
||||
"LINK", "X", "T", "U", "UNKNOT", "ALT", "NONALT", "STRING", "'_'", "'['",
|
||||
"']'", "'('", "','", "')'", "'{'", "'}'", "$accept", "knot",
|
||||
"rolfsen_knot", "htw_knot", "mt_link", "planar_diagram", "dt",
|
||||
"']'", "'('", "','", "')'", "'{'", "'}'", "$accept", "entry", "knot",
|
||||
"knot_1", "rolfsen_knot", "htw_knot", "mt_link", "planar_diagram", "dt",
|
||||
"torus_link", "braid", "unknot", "alt_spec", "int_vec2", "int_vec",
|
||||
"int_vec_1", "crossing_vec", "crossing", YY_NULL
|
||||
};
|
||||
@ -952,18 +973,19 @@ namespace yy {
|
||||
const knot_parser::rhs_number_type
|
||||
knot_parser::yyrhs_[] =
|
||||
{
|
||||
24, 0, -1, 25, -1, 26, -1, 27, -1, 28,
|
||||
-1, 29, -1, 30, -1, 32, -1, 31, -1, 3,
|
||||
15, 3, -1, 3, 33, 3, -1, 7, 3, 33,
|
||||
3, -1, 4, 16, 34, 17, -1, 4, 16, 37,
|
||||
17, -1, 5, 16, 36, 17, -1, 5, 16, 34,
|
||||
17, -1, 5, 16, 14, 17, -1, 9, 18, 3,
|
||||
19, 3, 20, -1, 6, 16, 3, 19, 35, 17,
|
||||
-1, 11, -1, 12, -1, 13, -1, 35, -1, 34,
|
||||
19, 35, -1, 21, 36, 22, -1, 16, 36, 17,
|
||||
-1, 3, -1, 36, 19, 3, -1, 38, -1, 37,
|
||||
19, 38, -1, 8, 16, 3, 19, 3, 19, 3,
|
||||
19, 3, 17, -1
|
||||
24, 0, -1, 25, -1, 26, -1, 25, 25, -1,
|
||||
27, -1, 28, -1, 29, -1, 30, -1, 31, -1,
|
||||
32, -1, 34, -1, 33, -1, 3, 15, 3, -1,
|
||||
3, 35, 3, -1, 7, 3, 35, 3, -1, 4,
|
||||
16, 36, 17, -1, 4, 16, 39, 17, -1, 5,
|
||||
16, 38, 17, -1, 5, 16, 36, 17, -1, 5,
|
||||
16, 14, 17, -1, 9, 18, 3, 19, 3, 20,
|
||||
-1, 6, 16, 3, 19, 37, 17, -1, 11, -1,
|
||||
12, -1, 13, -1, 37, -1, 36, 19, 37, -1,
|
||||
21, 38, 22, -1, 16, 38, 17, -1, 3, -1,
|
||||
38, 19, 3, -1, 40, -1, 39, 19, 40, -1,
|
||||
8, 16, 3, 19, 3, 19, 3, 19, 3, 17,
|
||||
-1
|
||||
};
|
||||
|
||||
/* YYPRHS[YYN] -- Index of the first RHS symbol of rule number YYN in
|
||||
@ -971,20 +993,20 @@ namespace yy {
|
||||
const unsigned char
|
||||
knot_parser::yyprhs_[] =
|
||||
{
|
||||
0, 0, 3, 5, 7, 9, 11, 13, 15, 17,
|
||||
19, 23, 27, 32, 37, 42, 47, 52, 57, 64,
|
||||
71, 73, 75, 77, 79, 83, 87, 91, 93, 97,
|
||||
99, 103
|
||||
0, 0, 3, 5, 7, 10, 12, 14, 16, 18,
|
||||
20, 22, 24, 26, 30, 34, 39, 44, 49, 54,
|
||||
59, 64, 71, 78, 80, 82, 84, 86, 90, 94,
|
||||
98, 100, 104, 106, 110
|
||||
};
|
||||
|
||||
/* YYRLINE[YYN] -- Source line where rule number YYN was defined. */
|
||||
const unsigned char
|
||||
knot_parser::yyrline_[] =
|
||||
{
|
||||
0, 55, 55, 56, 57, 58, 59, 60, 61, 62,
|
||||
66, 84, 103, 122, 124, 129, 135, 137, 142, 147,
|
||||
152, 162, 163, 167, 174, 183, 185, 190, 197, 206,
|
||||
213, 222
|
||||
0, 59, 59, 67, 68, 77, 78, 79, 80, 81,
|
||||
82, 83, 84, 88, 106, 125, 144, 146, 151, 157,
|
||||
159, 164, 169, 174, 184, 185, 189, 196, 205, 207,
|
||||
212, 219, 228, 235, 244
|
||||
};
|
||||
|
||||
// Print the state stack on the debug stream.
|
||||
@ -1059,10 +1081,10 @@ namespace yy {
|
||||
}
|
||||
|
||||
const int knot_parser::yyeof_ = 0;
|
||||
const int knot_parser::yylast_ = 78;
|
||||
const int knot_parser::yynnts_ = 16;
|
||||
const int knot_parser::yylast_ = 80;
|
||||
const int knot_parser::yynnts_ = 18;
|
||||
const int knot_parser::yyempty_ = -2;
|
||||
const int knot_parser::yyfinal_ = 26;
|
||||
const int knot_parser::yyfinal_ = 28;
|
||||
const int knot_parser::yyterror_ = 1;
|
||||
const int knot_parser::yyerrcode_ = 256;
|
||||
const int knot_parser::yyntokens_ = 23;
|
||||
@ -1073,9 +1095,9 @@ namespace yy {
|
||||
|
||||
} // yy
|
||||
/* Line 1106 of lalr1.cc */
|
||||
#line 1077 "knot_parser/knot_parser.cc"
|
||||
#line 1099 "knot_parser/knot_parser.cc"
|
||||
/* Line 1107 of lalr1.cc */
|
||||
#line 233 "knot_parser/knot_parser.yy"
|
||||
#line 255 "knot_parser/knot_parser.yy"
|
||||
|
||||
|
||||
void
|
||||
|
||||
@ -82,10 +82,11 @@ namespace yy {
|
||||
basedvector<int, 1> *int_vec;
|
||||
basedvector<basedvector<int, 1>, 1> *int_vec2;
|
||||
const char *string;
|
||||
knot_diagram *kd;
|
||||
|
||||
|
||||
/* Line 36 of lalr1.cc */
|
||||
#line 89 "knot_parser/knot_parser.hh"
|
||||
#line 90 "knot_parser/knot_parser.hh"
|
||||
};
|
||||
#else
|
||||
typedef YYSTYPE semantic_type;
|
||||
@ -283,7 +284,7 @@ namespace yy {
|
||||
|
||||
} // yy
|
||||
/* Line 36 of lalr1.cc */
|
||||
#line 287 "knot_parser/knot_parser.hh"
|
||||
#line 288 "knot_parser/knot_parser.hh"
|
||||
|
||||
|
||||
|
||||
|
||||
@ -24,6 +24,7 @@ YY_DECL;
|
||||
basedvector<int, 1> *int_vec;
|
||||
basedvector<basedvector<int, 1>, 1> *int_vec2;
|
||||
const char *string;
|
||||
knot_diagram *kd;
|
||||
}
|
||||
|
||||
%code {
|
||||
@ -36,9 +37,12 @@ YY_DECL;
|
||||
|
||||
%token PD DT BR LINK X T
|
||||
%token U UNKNOT
|
||||
|
||||
%token <alternating> ALT NONALT
|
||||
%token <string> STRING
|
||||
|
||||
%type <kd> knot knot_1
|
||||
%type <kd> rolfsen_knot htw_knot mt_link planar_diagram dt torus_link unknot braid
|
||||
%type <alternating> alt_spec
|
||||
|
||||
%type <int_vec> int_vec int_vec_1
|
||||
@ -49,9 +53,27 @@ YY_DECL;
|
||||
|
||||
%%
|
||||
|
||||
%start knot;
|
||||
%start entry;
|
||||
|
||||
entry:
|
||||
knot
|
||||
{
|
||||
parsed_knot = *$1;
|
||||
delete $1;
|
||||
}
|
||||
;
|
||||
|
||||
knot:
|
||||
knot_1
|
||||
| knot knot
|
||||
{
|
||||
$$ = new knot_diagram (DISJOINT_UNION, *$1, *$2);
|
||||
delete $1;
|
||||
delete $2;
|
||||
}
|
||||
;
|
||||
|
||||
knot_1:
|
||||
rolfsen_knot
|
||||
| htw_knot
|
||||
| mt_link
|
||||
@ -70,7 +92,7 @@ rolfsen_knot:
|
||||
|
||||
if (n >= 1 && n <= 10
|
||||
&& k >= 1 && k <= rolfsen_crossing_knots (n))
|
||||
parsed_knot = knot_diagram (rolfsen_knot (n, k));
|
||||
$$ = new knot_diagram (rolfsen_knot (n, k));
|
||||
else
|
||||
{
|
||||
fprintf (stderr, "knot_parser: no such Rolfsen knot `%d_%d'\n",
|
||||
@ -89,7 +111,7 @@ htw_knot:
|
||||
|
||||
if (n >= 1 && n <= 16
|
||||
&& k >= 1 && k <= htw_knots (n, alt))
|
||||
parsed_knot = knot_diagram (htw_knot (n, alt, k));
|
||||
$$ = new knot_diagram (htw_knot (n, alt, k));
|
||||
else
|
||||
{
|
||||
fprintf (stderr, "knot_parser: no such HTW knot `%d%c%d'\n",
|
||||
@ -108,7 +130,7 @@ mt_link:
|
||||
|
||||
if (n >= 1 && n <= 14
|
||||
&& k >= 1 && k <= mt_links (n, alt))
|
||||
parsed_knot = knot_diagram (mt_link (n, alt, k));
|
||||
$$ = new knot_diagram (mt_link (n, alt, k));
|
||||
else
|
||||
{
|
||||
fprintf (stderr, "knot_parser: no such MT link `%d%c%d'\n",
|
||||
@ -120,9 +142,9 @@ mt_link:
|
||||
|
||||
planar_diagram:
|
||||
PD '[' int_vec2 ']'
|
||||
{ parsed_knot = knot_diagram (planar_diagram ("<parsed>", *$3)); }
|
||||
{ $$ = new knot_diagram (planar_diagram ("<parsed>", *$3)); }
|
||||
| PD '[' crossing_vec ']'
|
||||
{ parsed_knot = knot_diagram (planar_diagram ("<parsed>", *$3)); }
|
||||
{ $$ = new knot_diagram (planar_diagram ("<parsed>", *$3)); }
|
||||
;
|
||||
|
||||
dt:
|
||||
@ -130,22 +152,22 @@ dt:
|
||||
{
|
||||
basedvector<basedvector<int, 1>, 1> even_labels (1);
|
||||
even_labels[1] = *$3;
|
||||
parsed_knot = knot_diagram (dt_code ("<parsed>", even_labels));
|
||||
$$ = new knot_diagram (dt_code ("<parsed>", even_labels));
|
||||
}
|
||||
| DT '[' int_vec2 ']'
|
||||
{ parsed_knot = knot_diagram (dt_code ("<parsed>", *$3)); }
|
||||
{ $$ = new knot_diagram (dt_code ("<parsed>", *$3)); }
|
||||
| DT '[' STRING ']'
|
||||
{ parsed_knot = knot_diagram (dt_code ("<parsed>", $3)); }
|
||||
{ $$ = new knot_diagram (dt_code ("<parsed>", $3)); }
|
||||
;
|
||||
|
||||
torus_link:
|
||||
T '(' INT ',' INT ')'
|
||||
{ parsed_knot = knot_diagram (torus_knot ($3, $5)); }
|
||||
{ $$ = new knot_diagram (torus_knot ($3, $5)); }
|
||||
;
|
||||
|
||||
braid:
|
||||
BR '[' INT ',' int_vec ']'
|
||||
{ parsed_knot = knot_diagram (braid ($3, *$5)); }
|
||||
{ $$ = new knot_diagram (braid ($3, *$5)); }
|
||||
;
|
||||
|
||||
unknot:
|
||||
@ -154,7 +176,7 @@ unknot:
|
||||
unsigned unknot_ar[1][4] = {
|
||||
{ 2, 1, 3, 4, },
|
||||
};
|
||||
parsed_knot = knot_diagram ("U", 1, unknot_ar);
|
||||
$$ = new knot_diagram ("U", 1, unknot_ar);
|
||||
}
|
||||
;
|
||||
|
||||
|
||||
@ -612,7 +612,7 @@ torus_knot (unsigned n_strands, unsigned n_shifts)
|
||||
return planar_diagram (std::string (buf), crossings);
|
||||
}
|
||||
|
||||
planar_diagram
|
||||
knot_diagram
|
||||
braid (unsigned n_strands, unsigned n_twists, int twists_ar[])
|
||||
{
|
||||
basedvector<int, 1> twists (n_twists);
|
||||
@ -621,10 +621,9 @@ braid (unsigned n_strands, unsigned n_twists, int twists_ar[])
|
||||
return braid (n_strands, twists);
|
||||
}
|
||||
|
||||
planar_diagram
|
||||
knot_diagram
|
||||
braid (unsigned n_strands, const basedvector<int, 1> &twists)
|
||||
{
|
||||
unsigned n_crossings = twists.size ();
|
||||
unsigned e = 0;
|
||||
|
||||
basedvector<unsigned, 1> final_strands (n_strands);
|
||||
@ -644,14 +643,36 @@ braid (unsigned n_strands, const basedvector<int, 1> &twists)
|
||||
last_twist[t] = i;
|
||||
last_twist[t + 1] = i;
|
||||
}
|
||||
#ifndef NDEBUG
|
||||
for (unsigned i = 1; i <= n_strands; i ++)
|
||||
assert (last_twist[i] != 0);
|
||||
#endif
|
||||
|
||||
basedvector<basedvector<int, 1>, 1> crossings (n_crossings);
|
||||
unsigned n_crossings = twists.size ();
|
||||
for (unsigned i = 1; i <= n_strands; i ++)
|
||||
{
|
||||
if (last_twist[i] == 0)
|
||||
n_crossings ++;
|
||||
}
|
||||
|
||||
basedvector<basedvector<unsigned, 1>, 1> crossings (n_crossings);
|
||||
for (unsigned i = 1; i <= n_crossings; i ++)
|
||||
crossings[i] = basedvector<int, 1> (4);
|
||||
crossings[i] = basedvector<unsigned, 1> (4);
|
||||
|
||||
unsigned c = twists.size ();
|
||||
for (unsigned i = 1; i <= n_strands; i ++)
|
||||
{
|
||||
if (last_twist[i] == 0)
|
||||
{
|
||||
++ c;
|
||||
unsigned e1 = strands[i];
|
||||
unsigned e2 = ++ e;
|
||||
|
||||
strands[i] = final_strands[i] = 0;
|
||||
|
||||
crossings[c][1] = edge_from_ept (e1);
|
||||
crossings[c][2] = edge_to_ept (e2);
|
||||
crossings[c][3] = edge_from_ept (e2);
|
||||
crossings[c][4] = edge_to_ept (e1);
|
||||
}
|
||||
}
|
||||
assert (c == n_crossings);
|
||||
|
||||
for (unsigned i = 1; i <= twists.size (); i ++)
|
||||
{
|
||||
@ -686,27 +707,30 @@ braid (unsigned n_strands, const basedvector<int, 1> &twists)
|
||||
|
||||
if (twists[i] > 0)
|
||||
{
|
||||
crossings[i][1] = e1;
|
||||
crossings[i][2] = e2;
|
||||
crossings[i][3] = e3;
|
||||
crossings[i][4] = e4;
|
||||
crossings[i][1] = edge_to_ept (e1);
|
||||
crossings[i][2] = edge_from_ept (e2);
|
||||
crossings[i][3] = edge_from_ept (e3);
|
||||
crossings[i][4] = edge_to_ept (e4);
|
||||
}
|
||||
else
|
||||
{
|
||||
crossings[i][1] = e2;
|
||||
crossings[i][2] = e3;
|
||||
crossings[i][3] = e4;
|
||||
crossings[i][4] = e1;
|
||||
crossings[i][1] = edge_from_ept (e2);
|
||||
crossings[i][2] = edge_from_ept (e3);
|
||||
crossings[i][3] = edge_to_ept (e4);
|
||||
crossings[i][4] = edge_to_ept (e1);
|
||||
}
|
||||
}
|
||||
|
||||
assert (e == n_crossings * 2);
|
||||
#ifndef NDEBUG
|
||||
for (unsigned i = 1; i <= n_strands; i ++)
|
||||
assert (final_strands[i] == 0);
|
||||
{
|
||||
assert (strands[i] == 0);
|
||||
assert (final_strands[i] == 0);
|
||||
}
|
||||
#endif
|
||||
|
||||
return planar_diagram ("abraid", crossings);
|
||||
return knot_diagram ("abraid", crossings);
|
||||
}
|
||||
|
||||
basedvector<basedvector<unsigned, 1>, 1>
|
||||
|
||||
@ -115,8 +115,8 @@ dt_code mt_link (unsigned n, unsigned k);
|
||||
|
||||
planar_diagram torus_knot (unsigned n_strands, unsigned n_shifts);
|
||||
|
||||
planar_diagram braid (unsigned n_strands, const basedvector<int, 1> &twists);
|
||||
planar_diagram braid (unsigned n_strands, unsigned n_twists, int twists_ar[]);
|
||||
knot_diagram braid (unsigned n_strands, const basedvector<int, 1> &twists);
|
||||
knot_diagram braid (unsigned n_strands, unsigned n_twists, int twists_ar[]);
|
||||
|
||||
knot_diagram parse_knot (const char *s);
|
||||
resolution_diagram parse_resolution_diagram (const char *s);
|
||||
|
||||
Loading…
Reference in New Issue
Block a user