From dcbe4127bda38cf955be5c2c5bdbd4ca605ea29e Mon Sep 17 00:00:00 2001 From: Cotton Seed Date: Fri, 9 Dec 2011 15:50:25 -0500 Subject: [PATCH] First commit in git. This is a cleaned up version of r114 from the now deprecated SVN repository. --- .gitignore | 3 + Makefile | 106 + algebra/Q.cpp | 19 + algebra/Q.h | 63 + algebra/Z.h | 169 + algebra/Z2.h | 66 + algebra/algebra.cpp | 105 + algebra/algebra.h | 66 + algebra/fields.cpp | 3 + algebra/fraction_field.h | 241 + algebra/grading.cpp | 22 + algebra/grading.h | 49 + algebra/laurentpoly.h | 399 + algebra/linear_combination.h | 472 + algebra/module.h | 1255 + algebra/multivariate_polynomial.h | 495 + algebra/polynomial.cpp | 125 + algebra/polynomial.h | 446 + alternating | Bin 0 -> 3930616 bytes cobordism.cpp | 1415 + cobordism.h | 208 + cube.cpp | 11 + cube.h | 120 + cube_impl.h | 728 + dt_code.cpp | 54 + dt_code.h | 49 + gss.cpp | 126 + knot_diagram.cpp | 809 + knot_diagram.h | 161 + knot_parser/knot_parser.cc | 1148 + knot_parser/knot_parser.hh | 337 + knot_parser/knot_parser.yy | 255 + knot_parser/knot_parser_driver.cpp | 17 + knot_parser/knot_parser_driver.h | 2 + knot_parser/knot_scanner.cc | 1782 + knot_parser/knot_scanner.ll | 69 + knot_parser/location.hh | 165 + knot_parser/position.hh | 162 + knot_parser/stack.hh | 136 + knot_tables.cpp | 730 + knotkit.h | 45 + lib/bitset.cpp | 107 + lib/bitset.h | 138 + lib/directed_multigraph.cpp | 182 + lib/directed_multigraph.h | 52 + lib/hashmap.h | 23 + lib/io.cpp | 152 + lib/io.h | 59 + lib/lib.cpp | 74 + lib/lib.h | 166 + lib/map.h | 18 + lib/map_wrapper.h | 221 + lib/mapcommon.h | 28 + lib/maybe.h | 58 + lib/pair.h | 94 + lib/priority_queue.h | 78 + lib/refcount.cpp | 25 + lib/refcount.h | 84 + lib/set.h | 341 + lib/setcommon.cpp | 60 + lib/setcommon.h | 55 + lib/show.h | 16 + lib/smallbitset.cpp | 44 + lib/smallbitset.h | 147 + lib/ullmanmap.h | 128 + lib/ullmanset.h | 352 + lib/unionfind.h | 83 + lib/vector.h | 386 + main.cpp | 8 + mtlinks/hyperbolic_data_04a | 1 + mtlinks/hyperbolic_data_05a | 3 + mtlinks/hyperbolic_data_06a | 8 + mtlinks/hyperbolic_data_06n | 1 + mtlinks/hyperbolic_data_07a | 14 + mtlinks/hyperbolic_data_07n | 2 + mtlinks/hyperbolic_data_08a | 39 + mtlinks/hyperbolic_data_08n | 11 + mtlinks/hyperbolic_data_09a | 96 + mtlinks/hyperbolic_data_09n | 36 + mtlinks/hyperbolic_data_10a | 297 + mtlinks/hyperbolic_data_10n | 155 + mtlinks/hyperbolic_data_11a | 915 + mtlinks/hyperbolic_data_11n | 644 + mtlinks/hyperbolic_data_12a | 3308 + mtlinks/hyperbolic_data_12n | 3144 + mtlinks/hyperbolic_data_13a | 12417 ++++ mtlinks/hyperbolic_data_13n | 16454 +++++ mtlinks/hyperbolic_data_14a | 51347 +++++++++++++++ mtlinks/hyperbolic_data_14n | 91616 +++++++++++++++++++++++++++ mutant_knot_groups/dat11 | 16 + mutant_knot_groups/dat12 | 75 + mutant_knot_groups/dat13 | 774 + mutant_knot_groups/dat14 | 4435 ++ mutant_knot_groups/dat15 | 29049 +++++++++ nonalternating | Bin 0 -> 12106080 bytes planar_diagram.cpp | 56 + planar_diagram.h | 28 + rd_parser/location.hh | 165 + rd_parser/position.hh | 162 + rd_parser/rd_parser.cc | 1030 + rd_parser/rd_parser.hh | 329 + rd_parser/rd_parser.yy | 195 + rd_parser/rd_scanner.cc | 1768 + rd_parser/rd_scanner.ll | 55 + rd_parser/stack.hh | 136 + smoothing.cpp | 121 + smoothing.h | 119 + spanning_tree_complex.cpp | 65 + spanning_tree_complex.h | 210 + sseq.cpp | 625 + sseq.h | 397 + testlib.cpp | 422 + todo.txt | 26 + 113 files changed, 236578 insertions(+) create mode 100644 .gitignore create mode 100644 Makefile create mode 100644 algebra/Q.cpp create mode 100644 algebra/Q.h create mode 100644 algebra/Z.h create mode 100644 algebra/Z2.h create mode 100644 algebra/algebra.cpp create mode 100644 algebra/algebra.h create mode 100644 algebra/fields.cpp create mode 100644 algebra/fraction_field.h create mode 100644 algebra/grading.cpp create mode 100644 algebra/grading.h create mode 100644 algebra/laurentpoly.h create mode 100644 algebra/linear_combination.h create mode 100644 algebra/module.h create mode 100644 algebra/multivariate_polynomial.h create mode 100644 algebra/polynomial.cpp create mode 100644 algebra/polynomial.h create mode 100644 alternating create mode 100644 cobordism.cpp create mode 100644 cobordism.h create mode 100644 cube.cpp create mode 100644 cube.h create mode 100644 cube_impl.h create mode 100644 dt_code.cpp create mode 100644 dt_code.h create mode 100644 gss.cpp create mode 100644 knot_diagram.cpp create mode 100644 knot_diagram.h create mode 100644 knot_parser/knot_parser.cc create mode 100644 knot_parser/knot_parser.hh create mode 100644 knot_parser/knot_parser.yy create mode 100644 knot_parser/knot_parser_driver.cpp create mode 100644 knot_parser/knot_parser_driver.h create mode 100644 knot_parser/knot_scanner.cc create mode 100644 knot_parser/knot_scanner.ll create mode 100644 knot_parser/location.hh create mode 100644 knot_parser/position.hh create mode 100644 knot_parser/stack.hh create mode 100644 knot_tables.cpp create mode 100644 knotkit.h create mode 100644 lib/bitset.cpp create mode 100644 lib/bitset.h create mode 100644 lib/directed_multigraph.cpp create mode 100644 lib/directed_multigraph.h create mode 100644 lib/hashmap.h create mode 100644 lib/io.cpp create mode 100644 lib/io.h create mode 100644 lib/lib.cpp create mode 100644 lib/lib.h create mode 100644 lib/map.h create mode 100644 lib/map_wrapper.h create mode 100644 lib/mapcommon.h create mode 100644 lib/maybe.h create mode 100644 lib/pair.h create mode 100644 lib/priority_queue.h create mode 100644 lib/refcount.cpp create mode 100644 lib/refcount.h create mode 100644 lib/set.h create mode 100644 lib/setcommon.cpp create mode 100644 lib/setcommon.h create mode 100644 lib/show.h create mode 100644 lib/smallbitset.cpp create mode 100644 lib/smallbitset.h create mode 100644 lib/ullmanmap.h create mode 100644 lib/ullmanset.h create mode 100644 lib/unionfind.h create mode 100644 lib/vector.h create mode 100644 main.cpp create mode 100644 mtlinks/hyperbolic_data_04a create mode 100644 mtlinks/hyperbolic_data_05a create mode 100644 mtlinks/hyperbolic_data_06a create mode 100644 mtlinks/hyperbolic_data_06n create mode 100644 mtlinks/hyperbolic_data_07a create mode 100644 mtlinks/hyperbolic_data_07n create mode 100644 mtlinks/hyperbolic_data_08a create mode 100644 mtlinks/hyperbolic_data_08n create mode 100644 mtlinks/hyperbolic_data_09a create mode 100644 mtlinks/hyperbolic_data_09n create mode 100644 mtlinks/hyperbolic_data_10a create mode 100644 mtlinks/hyperbolic_data_10n create mode 100644 mtlinks/hyperbolic_data_11a create mode 100644 mtlinks/hyperbolic_data_11n create mode 100644 mtlinks/hyperbolic_data_12a create mode 100644 mtlinks/hyperbolic_data_12n create mode 100644 mtlinks/hyperbolic_data_13a create mode 100644 mtlinks/hyperbolic_data_13n create mode 100644 mtlinks/hyperbolic_data_14a create mode 100644 mtlinks/hyperbolic_data_14n create mode 100644 mutant_knot_groups/dat11 create mode 100644 mutant_knot_groups/dat12 create mode 100644 mutant_knot_groups/dat13 create mode 100644 mutant_knot_groups/dat14 create mode 100644 mutant_knot_groups/dat15 create mode 100644 nonalternating create mode 100644 planar_diagram.cpp create mode 100644 planar_diagram.h create mode 100644 rd_parser/location.hh create mode 100644 rd_parser/position.hh create mode 100644 rd_parser/rd_parser.cc create mode 100644 rd_parser/rd_parser.hh create mode 100644 rd_parser/rd_parser.yy create mode 100644 rd_parser/rd_scanner.cc create mode 100644 rd_parser/rd_scanner.ll create mode 100644 rd_parser/stack.hh create mode 100644 smoothing.cpp create mode 100644 smoothing.h create mode 100644 spanning_tree_complex.cpp create mode 100644 spanning_tree_complex.h create mode 100644 sseq.cpp create mode 100644 sseq.h create mode 100644 testlib.cpp create mode 100644 todo.txt diff --git a/.gitignore b/.gitignore new file mode 100644 index 0000000..b893fbb --- /dev/null +++ b/.gitignore @@ -0,0 +1,3 @@ +*.o +/gss +/main diff --git a/Makefile b/Makefile new file mode 100644 index 0000000..15d28e2 --- /dev/null +++ b/Makefile @@ -0,0 +1,106 @@ + +BISON = /opt/local/bin/bison +FLEX = /opt/local/bin/flex + +CXX = g++ + +INCLUDES = -I/opt/local/include -I. + +OPTFLAGS = -g +# OPTFLAGS = -O2 -g +# OPTFLAGS = -O2 -DNDEBUG + +LDFLAGS = -L/opt/local/lib +# LDFLAGS = -pg -L/opt/local/lib + +CXXFLAGS = $(OPTFLAGS) -Wall -Wno-unused $(INCLUDES) + +LIB_OBJS = lib/refcount.o \ + lib/lib.o lib/smallbitset.o lib/bitset.o lib/setcommon.o lib/io.o lib/directed_multigraph.o +ALGEBRA_OBJS = algebra/algebra.o algebra/Q.o algebra/grading.o algebra/polynomial.o +KNOTKIT_OBJS = planar_diagram.o dt_code.o knot_diagram.o cube.o spanning_tree_complex.o \ + smoothing.o cobordism.o knot_tables.o sseq.o \ + knot_parser/knot_parser.o knot_parser/knot_scanner.o \ + rd_parser/rd_parser.o rd_parser/rd_scanner.o + +COMMON_OBJS = $(KNOTKIT_OBJS) $(ALGEBRA_OBJS) $(LIB_OBJS) + +LIB_HEADERS = lib/lib.h lib/show.h lib/refcount.h lib/pair.h lib/maybe.h lib/vector.h \ + lib/set.h lib/ullmanset.h lib/bitset.h lib/smallbitset.h lib/setcommon.h \ + lib/map_wrapper.h lib/map.h lib/hashmap.h lib/ullmanmap.h lib/mapcommon.h \ + lib/unionfind.h lib/priority_queue.h lib/io.h \ + lib/directed_multigraph.h +ALGEBRA_HEADERS = algebra/algebra.h algebra/grading.h algebra/module.h \ + algebra/Z2.h algebra/linear_combination.h algebra/Z.h algebra/Q.h \ + algebra/polynomial.h algebra/multivariate_polynomial.h \ + algebra/laurentpoly.h algebra/fraction_field.h +KNOTKIT_HEADERS = knotkit.h planar_diagram.h dt_code.h knot_diagram.h \ + smoothing.h cobordism.h cube.h spanning_tree_complex.h cube_impl.h sseq.h + +LIBS = -lgmp + +all: gss + +%.o : %.cc + $(CXX) -c $(CXXFLAGS) $< -o $@ + +%.o : %.cpp + $(CXX) -c $(CXXFLAGS) $< -o $@ + +gss: gss.o $(COMMON_OBJS) + $(CXX) $(LDFLAGS) -o gss $^ $(LIBS) + +main: main.o $(COMMON_OBJS) + $(CXX) $(LDFLAGS) -o main $^ $(LIBS) + +testlib: testlib.o $(COMMON_OBJS) + $(CXX) $(LDFLAGS) -o testlib $^ + +knot_parser/knot_parser.cc knot_parser/knot_parser.hh: knot_parser/knot_parser.yy + $(BISON) knot_parser/knot_parser.yy -o knot_parser/knot_parser.cc + +knot_parser/knot_scanner.cc: knot_parser/knot_scanner.ll + $(FLEX) -o knot_parser/knot_scanner.cc knot_parser/knot_scanner.ll + +javakh_parser/javakh_parser.cc javakh_parser/javakh_parser.hh: javakh_parser/javakh_parser.yy + $(BISON) javakh_parser/javakh_parser.yy -o javakh_parser/javakh_parser.cc + +javakh_parser/javakh_scanner.cc: javakh_parser/javakh_scanner.ll + $(FLEX) -o javakh_parser/javakh_scanner.cc javakh_parser/javakh_scanner.ll + +rd_parser/rd_parser.cc rd_parser/rd_parser.hh: rd_parser/rd_parser.yy + $(BISON) rd_parser/rd_parser.yy -o rd_parser/rd_parser.cc + +rd_parser/rd_scanner.cc: rd_parser/rd_scanner.ll + $(FLEX) -o rd_parser/rd_scanner.cc rd_parser/rd_scanner.ll + +.PHONY: parser_files +parser_files: \ + knot_parser/knot_parser.cc knot_parser/knot_parser.hh \ + knot_parser/knot_scanner.cc \ + javakh_parser/javakh_parser.cc javakh_parser/javakh_parser.hh \ + javakh_parser/javakh_scanner.cc \ + rd_parser/rd_parser.cc rd_parser/rd_parser.hh \ + rd_parser/rd_scanner.cc + +.PHONY: clean +clean: + rm -f *.o lib/*.o algebra/*.o knot_parser/*.o rd_parser/*.o + rm -f main gss + rm -f gmon.out + +.PHONY: realclean +realclean: clean + rm -f knot_parser/knot_parser.cc knot_parser/knot_parser.hh + rm -f knot_parser/knot_scanner.cc + rm -f knot_parser/location.hh knot_parser/position.hh knot_parser/stack.hh + rm -f javakh_parser/javakh_parser.cc javakh_parser/javakh_parser.hh + rm -f javakh_parser/javakh_scanner.cc + rm -f javakh_parser/location.hh javakh_parser/position.hh javakh_parser/stack.hh + rm -f rd_parser/rd_parser.cc rd_parser/rd_parser.hh + rm -f rd_parser/rd_scanner.cc + rm -f rd_parser/location.hh rd_parser/position.hh rd_parser/stack.hh + +$(LIB_OBJS): $(LIB_HEADERS) +$(ALGEBRA_OBJS): $(ALGEBRA_HEADERS) $(LIB_HEADERS) +$(KNOTKIT_OBJS) main.o gss.o: $(KNOTKIT_HEADERS) $(ALGEBRA_HEADERS) $(LIB_HEADERS) diff --git a/algebra/Q.cpp b/algebra/Q.cpp new file mode 100644 index 0000000..9f42d65 --- /dev/null +++ b/algebra/Q.cpp @@ -0,0 +1,19 @@ + +#include + +void +Q::reduce () +{ + unsigned c = unsigned_gcd ((unsigned)std::abs (n), d); + n /= (int)c; + d /= c; +} + +void +Q::show_self () const +{ + if (d == 1) + printf ("%d", n); + else + printf ("%d/%u", n, d); +} diff --git a/algebra/Q.h b/algebra/Q.h new file mode 100644 index 0000000..db25a54 --- /dev/null +++ b/algebra/Q.h @@ -0,0 +1,63 @@ + +class Q +{ + public: + typedef linear_combination linear_combination; + // typedef linear_combination_iter linear_combination_iter; + typedef linear_combination_const_iter linear_combination_const_iter; + + private: + int n; + unsigned d; + + void reduce (); + + public: + Q () : n(0), d(1) { } + Q (int x) : n(x), d(1) { } + Q (int n_, unsigned d_) : n(n_), d(d_) { assert (d != 0); reduce (); } + Q (const Q &q) : n(q.n), d(q.d) { } + ~Q () { } + + Q &operator = (const Q &q) { n = q.n; d = q.d; return *this; } + Q &operator = (int x) { n = x; d = 1; return *this; } + + bool operator == (const Q &q) const { return n == q.n && d == q.d; } + + bool operator == (int x) const { return n == x && d == 1; } + bool operator != (int x) const { return !operator == (x); } + + bool is_unit () const { return n != 0; } + + Q operator + (const Q &x) const { return Q (n*x.d + x.n*d, d*x.d); } + Q operator - (const Q &x) const { return Q (n*x.d - x.n*d, d*x.d); } + Q operator * (const Q &x) const { return Q (n*x.n, d*x.d); } + Q operator / (const Q &x) const { return operator * (x.recip ()); } + + Q recip () const + { + assert (is_unit ()); + if (n < 0) + return Q (-d, -n); + else + return Q (d, n); + } + + Q &operator += (const Q &x) { n = n*x.d + x.n*d; d *= x.d; reduce (); return *this; } + Q &operator -= (const Q &x) { n = n*x.d - x.n*d; d *= x.d; reduce (); return *this; } + Q &operator *= (const Q &x) { n *= x.n; d *= x.d; reduce (); return *this; } + Q &operator /= (const Q &x) { return operator *= (x.recip ()); } + + bool divides (const Q &q) const { return (n != 0) || (q.n == 0); } + bool operator | (const Q &q) const { return divides (q); } + + Q gcd (const Q &q) const + { + assert (n != 0 && q.n != 0); + return Q (1); + } + + static void show_ring () { printf ("Q"); } + void show_self () const; + void display_self () const { show_self (); newline (); } +}; diff --git a/algebra/Z.h b/algebra/Z.h new file mode 100644 index 0000000..282e867 --- /dev/null +++ b/algebra/Z.h @@ -0,0 +1,169 @@ + +class Z +{ + public: + typedef linear_combination linear_combination; + typedef linear_combination_const_iter linear_combination_const_iter; + + enum steal { STEAL }; + + private: + class Z_impl : public refcounted + { + public: + mpz_t x; + + public: + Z_impl () { mpz_init (x); } + Z_impl (int init) { mpz_init_set_si (x, init); } + Z_impl (copy, mpz_srcptr init) { mpz_init_set (x, init); } + Z_impl (steal, mpz_srcptr init) { x[0] = *init; } + ~Z_impl () { mpz_clear (x); } + }; + + ptr impl; + + Z (steal, mpz_srcptr init) : impl(new Z_impl (STEAL, init)) { } + + public: + Z () : impl(new Z_impl) { } + Z (int init) : impl(new Z_impl (init)) { } + Z (const Z &z) : impl(z.impl) { } + Z (copy, const Z &z) : impl(new Z_impl (COPY, z.impl->x)) { } + ~Z () { } + + Z &operator = (const Z &z) { impl = z.impl; return *this; } + Z &operator = (int x) { impl = new Z_impl (x); return *this; } + + bool operator == (const Z &z) const { return mpz_cmp (impl->x, z.impl->x) == 0; } + + bool operator == (int y) const { return mpz_cmp_si (impl->x, y) == 0; } + bool operator != (int y) const { return !operator == (y); } + + bool operator < (const Z &z) const { return mpz_cmp (impl->x, z.impl->x) < 0; } + + bool is_unit () const + { + return *this == 1 || *this == -1; + } + + Z operator + (const Z &z) const + { + mpz_t x; + mpz_init (x); + mpz_add (x, impl->x, z.impl->x); + return Z (STEAL, x); + } + + Z operator - (const Z &z) const + { + mpz_t x; + mpz_init (x); + mpz_sub (x, impl->x, z.impl->x); + return Z (STEAL, x); + } + + Z operator * (const Z &z) const + { + mpz_t x; + mpz_init (x); + mpz_mul (x, impl->x, z.impl->x); + return Z (STEAL, x); + } + + Z operator / (const Z &z) const + { + if (mpz_cmp_si (z.impl->x, 1) == 0) + return *this; + else + { + assert (mpz_cmp_si (z.impl->x, -1) == 0); + + mpz_t x; + mpz_init (x); + mpz_neg (x, impl->x); + return Z (STEAL, x); + } + } + + Z recip () const + { + assert (is_unit ()); + return Z (COPY, *this); + } + + Z &operator += (const Z &z) + { + mpz_add (impl->x, impl->x, z.impl->x); + return *this; + } + + Z &operator -= (const Z &z) + { + mpz_sub (impl->x, impl->x, z.impl->x); + return *this; + } + + Z &operator *= (const Z &z) + { + mpz_mul (impl->x, impl->x, z.impl->x); + return *this; + } + + Z &operator /= (const Z &z) + { + if (mpz_cmp_si (z.impl->x, 1) == 0) + ; + else + { + assert (mpz_cmp_si (z.impl->x, -1) == 0); + mpz_neg (impl->x, impl->x); + } + return *this; + } + + bool divides (const Z &n) const + { + // d = *this + return mpz_divisible_p (n.impl->x, impl->x); + } + + bool operator | (const Z &z) const { return divides (z); } + + Z div (const Z &d) const + { + // n = *this + mpz_t q; + mpz_init (q); + mpz_divexact (q, impl->x, d.impl->x); + return Z (STEAL, q); + } + + triple extended_gcd (const Z &z) const + { + mpz_t d, s, t; + mpz_inits (d, s, t, 0); + mpz_gcdext (d, s, t, impl->x, z.impl->x); + return triple (Z (STEAL, d), + Z (STEAL, s), + Z (STEAL, t)); + } + + Z gcd (const Z &z) const + { + mpz_t d; + mpz_gcd (d, impl->x, z.impl->x); + return Z (STEAL, d); + } + + Z lcm (const Z &z) const + { + mpz_t m; + mpz_lcm (m, impl->x, z.impl->x); + return Z (STEAL, m); + } + + static void show_ring () { printf ("Z"); } + void show_self () const { mpz_out_str (stdout, 10, impl->x); } + void display_self () const { show_self (); newline (); } +}; diff --git a/algebra/Z2.h b/algebra/Z2.h new file mode 100644 index 0000000..50957a3 --- /dev/null +++ b/algebra/Z2.h @@ -0,0 +1,66 @@ +class Z2 +{ + public: + typedef linear_combination linear_combination; + // typedef linear_combination_iter linear_combination_iter; + typedef linear_combination_const_iter linear_combination_const_iter; + + private: + bool v; + + public: + Z2 () : v(0) { } + Z2 (int x) : v((bool)(x & 1)) { } + Z2 (bool v_) : v(v_) { } + Z2 (const Z2 &x) : v(x.v) { } + ~Z2 () { } + + Z2 &operator = (const Z2 &x) { v = x.v; return *this; } + Z2 &operator = (int x) { v = (bool)(x & 1); return *this; } + + bool operator == (const Z2 &x) const { return v == x.v; } + + bool operator == (int x) const { return v == (bool)(x & 1); } + bool operator != (int x) const { return !operator == (x); } + + bool is_unit () const { return v; } + + Z2 operator + (const Z2 &x) const { return Z2 (v ^ x.v); } + Z2 operator - (const Z2 &x) const { return Z2 (v ^ x.v); } + Z2 operator * (const Z2 &x) const { return Z2 (v & x.v); } + Z2 operator / (const Z2 &x) const { assert (x.v); return *this; } + + Z2 recip () const { assert (v); return *this; } + + Z2 &operator += (const Z2 &x) { v ^= x.v; return *this; } + Z2 &operator -= (const Z2 &x) { v ^= x.v; return *this; } + Z2 &operator *= (const Z2 &x) { v &= x.v; return *this; } + Z2 &operator /= (const Z2 &x) { assert (x.v); return *this; } + + bool divides (Z2 x) const { return v || !x.v; } + bool operator | (const Z2 x) const { return divides (x); } + + Z2 div (Z2 x) const + { + assert (x.divides (*this)); + return *this; + } + + Z2 gcd (Z2 x) const + { + assert (v && x.v); + return Z2 (1); + } + + triple extended_gcd (Z2 x) const + { + if (v) + return triple (Z2 (1), Z2 (1), Z2 (0)); + else + return triple (Z2 (1), Z2 (0), Z2 (1)); + } + + static void show_ring () { printf ("Z2"); } + void show_self () const { printf ("%d", (int)v); } + void display_self () const { printf ("%d\n", (int)v); } +}; diff --git a/algebra/algebra.cpp b/algebra/algebra.cpp new file mode 100644 index 0000000..2ad11ae --- /dev/null +++ b/algebra/algebra.cpp @@ -0,0 +1,105 @@ + +#include + +unsigned +unsigned_gcd (unsigned a, unsigned b) +{ + while (b != 0) + { + unsigned t = a % b; + a = b; + b = t; + } + return a; +} + +unsigned +int_gcd (int a, int b) +{ + return unsigned_gcd ((unsigned)std::abs (a), + (unsigned)std::abs (b)); +} + +uint64 +uint64_gcd (uint64 a, uint64 b) +{ + while (b != 0) + { + uint64 t = a % b; + a = b; + b = t; + } + return a; +} + +uint64 +int64_gcd (int64 a, int64 b) +{ + return uint64_gcd ((uint64)std::abs (a), + (uint64)std::abs (b)); +} + +static triple +extended_gcd_1 (unsigned a, unsigned b) +{ + if (b == 0) + return triple (a, 1, 0); + + unsigned t = a % b; + if (!t) + return triple (b, 0, 1); + else + { + triple s = extended_gcd (b, t); + + unsigned d = s.first; + int x = s.third, + y = s.second - s.third * (a / b); + + assert ((int)d == (int)a*x + (int)b*y); + + return triple (d, x, y); + } +} + +triple +extended_gcd (int a, int b) +{ + triple t = extended_gcd_1 (std::abs (a), + std::abs (b)); + unsigned d = t.first; + int x = t.second, + y = t.third; + if (a < 0) + x *= -1; + if (b < 0) + y *= -1; + + assert ((int)d == a*x + b*y); + + return triple (d, x, y); +} + +unsigned +unsigned_lcm (unsigned a, unsigned b) +{ + return (a / unsigned_gcd (a, b)) * b; +} + +uint64 +uint64_lcm (uint64 a, uint64 b) +{ + return (a / uint64_gcd (a, b)) * b; +} + +unsigned int_lcm (int a, int b) +{ + return unsigned_lcm ((unsigned)std::abs (a), + (unsigned)std::abs (b)); +} + +uint64 int64_lcm (int64 a, int64 b) +{ + return uint64_lcm ((uint64)std::abs (a), + (uint64)std::abs (b)); +} diff --git a/algebra/algebra.h b/algebra/algebra.h new file mode 100644 index 0000000..2401135 --- /dev/null +++ b/algebra/algebra.h @@ -0,0 +1,66 @@ + +#include + +#include + +inline int recip (int x) +{ + assert (x == 1 || x == -1); + return x; +} + +template inline T recip (const T &x) { return x.recip (); } + +template inline T +pow (const T &x, int d) +{ + if (d == 0) + return 1; + else if (d == 1) + return x; + else if (d < 0) + return pow (recip (x), -d); + else + { + T x2 = x * x; + if (d & 1) + return x * pow (x2, (d - 1) / 2); + else + return pow (x2, d / 2); + } +} + +unsigned unsigned_gcd (unsigned a, unsigned b); +uint64 uint64_gcd (uint64 a, uint64 b); + +unsigned int_gcd (int a, int b); +uint64 int64_gcd (int64 a, int64 b); + +unsigned unsigned_lcm (unsigned a, unsigned b); +uint64 uint64_lcm (uint64 a, uint64 b); +unsigned int_lcm (int a, int b); +uint64 int64_lcm (int64 a, int64 b); + +// (d, x, y) = gcd (a, b) where x*a + y*b = d +triple extended_gcd (int a, int b); + +template class linear_combination; +template class linear_combination_const_iter; + +template class module; + +#include + +#include + +#include +#include + +#include +#include + +#include +#include +#include + +#include diff --git a/algebra/fields.cpp b/algebra/fields.cpp new file mode 100644 index 0000000..e8b7f28 --- /dev/null +++ b/algebra/fields.cpp @@ -0,0 +1,3 @@ + +#include + diff --git a/algebra/fraction_field.h b/algebra/fraction_field.h new file mode 100644 index 0000000..ab7b278 --- /dev/null +++ b/algebra/fraction_field.h @@ -0,0 +1,241 @@ + +template class fraction_field +{ + public: + typedef linear_combination linear_combination; + typedef linear_combination_const_iter linear_combination_const_iter; + + private: + T num; + T denom; + + enum reduced { REDUCED }; + + void reduce (); + void check (); + + public: + fraction_field () : num(0), denom(1) { } + fraction_field (int x) : num(x), denom(1) { } + fraction_field (T num_) : num(num_), denom(1) { } + fraction_field (T num_, T denom_) : num(num_), denom(denom_) { assert (denom != 0); reduce (); } + fraction_field (reduced, T num_, T denom_) + : num(num_), denom(denom_) + { + assert (denom != 0); +#ifndef NDEBUG + check (); +#endif + } + + fraction_field (const fraction_field &q) : num(q.num), denom(q.denom) { } + fraction_field (copy, const fraction_field &q) : num(COPY, q.num), denom(COPY, q.denom) { } + ~fraction_field () { } + + fraction_field &operator = (const fraction_field &q) { num = q.num; denom = q.denom; return *this; } + fraction_field &operator = (int x) { num = x; denom = 1; return *this; } + + bool operator == (const fraction_field &q) const { return num * q.denom == q.num * denom; } + + bool operator == (int x) const { return num == denom * T (x); } + bool operator != (int x) const { return !operator == (x); } + + bool is_unit () const { return num != 0; } + + fraction_field operator + (const fraction_field &x) const + { + T d = denom.gcd (x.denom); + T e = denom.divide_exact (d), + xe = x.denom.divide_exact (d); + + T new_num = num * xe; + new_num += x.num * e; + + return fraction_field (new_num, denom*xe); + } + + fraction_field operator - (const fraction_field &x) const + { + T d = denom.gcd (x.denom); + T e = denom.divide_exact (d), + xe = x.denom.divide_exact (d); + + T new_num = num * xe; + new_num -= x.num * e; + + return fraction_field (new_num, denom*xe); + } + + fraction_field operator * (const fraction_field &x) const + { + T d1 = num.gcd (x.denom); + T d2 = denom.gcd (x.num); + return fraction_field (REDUCED, + num.divide_exact (d1) * x.num.divide_exact (d2), + denom.divide_exact (d2) * x.denom.divide_exact (d1)); + } + + fraction_field operator / (const fraction_field &x) const + { + assert (x.num != 0); + + T d1 = num.gcd (x.num); + T d2 = denom.gcd (x.denom); + return fraction_field (REDUCED, + num.divide_exact (d1) * x.denom.divide_exact (d2), + denom.divide_exact (d2) * x.num.divide_exact (d1)); + } + + fraction_field &invert () + { + assert (num != 0); + T t = num; + num = denom; + denom = t; + return *this; + } + + fraction_field recip () const + { + assert (num != 0); + return fraction_field (T (COPY, denom), + T (COPY, num)); + } + + fraction_field &operator += (const fraction_field &x) + { + T d = denom.gcd (x.denom); + T e = denom.divide_exact (d), + xe = x.denom.divide_exact (d); + + num *= xe; + num += x.num * e; + denom *= xe; + + reduce (); + + return *this; + } + + fraction_field &operator -= (const fraction_field &x) + { + T d = denom.gcd (x.denom); + T e = denom.divide_exact (d), + xe = x.denom.divide_exact (d); + + num *= xe; + num -= x.num * e; + denom *= xe; + + reduce (); + + return *this; + } + + fraction_field &operator *= (const fraction_field &x) + { + T d1 = num.gcd (x.denom); + num = num.divide_exact (d1); + + T d2 = denom.gcd (x.num); + denom = denom.divide_exact (d2); + + num *= x.num.divide_exact (d2); + denom *= x.denom.divide_exact (d1); + +#ifndef NDEBUG + check (); +#endif + + return *this; + } + + fraction_field &operator /= (const fraction_field &x) + { + assert (x.num != 0); + + T d1 = num.gcd (x.num); + num = num.divide_exact (d1); + + T d2 = denom.gcd (x.denom); + denom = denom.divide_exact (d2); + + num *= x.denom.divide_exact (d2); + denom *= x.num.divide_exact (d1); + +#ifndef NDEBUG + check (); +#endif + + return *this; + } + + // d | n, d.divides (n) + bool divides (const fraction_field &n) const + { + // d = *this + return (num != 0) || (n.num == 0); + } + + bool operator | (const fraction_field &q) const { return divides (q); } + + fraction_field div (const fraction_field &d) const { return operator / (d); } + + fraction_field gcd (const fraction_field &q) const + { + assert (num != 0 && q.num != 0); + return fraction_field (1); + } + + triple extended_gcd (const fraction_field &x) const + { + if (*this != 0) + return triple (*this, 1, 0); + else + return triple (x, 0, 1); + } + + static void show_ring () { printf ("fraction_field("); T::show_ring (); printf (")"); } + void show_self () const; + void display_self () const { show_self (); newline (); } +}; + +template void +fraction_field::reduce () +{ + if (num == 0) + { + denom = 1; + return; + } + + T d = num.gcd (denom); + + num = num.divide_exact (d); + denom = denom.divide_exact (d); +} + +template void +fraction_field::check () +{ + if (num == 0) + return; + // check denom == 1 + + // assert (num.gcd (denom) == 1); +} + +template void +fraction_field::show_self () const +{ + if (denom == 1) + show (num); + else + { + printf ("("); + show (num); + printf (")/("); + show (denom); + printf (")"); + } +} diff --git a/algebra/grading.cpp b/algebra/grading.cpp new file mode 100644 index 0000000..83ab174 --- /dev/null +++ b/algebra/grading.cpp @@ -0,0 +1,22 @@ + +#include + +grading +grading::mirror_grading (unsigned nplus, unsigned nminus, bool torsion) const +{ + return grading (torsion ? (1-h) : -h, + -q); +} + +void +grading::show_self () const +{ + printf ("(%d, %d)", h, q); +} + +void +grading::display_self () const +{ + printf ("(%d, %d)\n", h, q); +} + diff --git a/algebra/grading.h b/algebra/grading.h new file mode 100644 index 0000000..936aeb3 --- /dev/null +++ b/algebra/grading.h @@ -0,0 +1,49 @@ + +class grading +{ + public: + int h, q; + + public: + grading () : h(0), q(0) { } + grading (int h_, int q_) : h(h_), q(q_) { } + grading (const grading &gr) : h(gr.h), q(gr.q) { } + ~grading () { } + + grading &operator = (const grading &gr) { h = gr.h; q = gr.q; return *this; } + + grading operator + (const grading &gr) const + { + return grading (h + gr.h, q + gr.q); + } + grading operator - (const grading &gr) const + { + return grading (h - gr.h, q - gr.q); + } + + grading &operator += (const grading &gr) + { + h += gr.h; + q += gr.q; + return *this; + } + + grading &operator -= (const grading &gr) + { + h -= gr.h; + q -= gr.q; + return *this; + } + + bool operator == (const grading &gr) const { return h == gr.h && q == gr.q; } + bool operator < (const grading &gr) const + { + return h < gr.h + || (h == gr.h && q < gr.q); + } + + grading mirror_grading (unsigned nplus, unsigned nminus, bool torsion) const; + + void show_self () const; + void display_self () const; +}; diff --git a/algebra/laurentpoly.h b/algebra/laurentpoly.h new file mode 100644 index 0000000..ad2e1d9 --- /dev/null +++ b/algebra/laurentpoly.h @@ -0,0 +1,399 @@ + +template class laurentpoly; + +class exponent1 +{ + public: + int first; + + public: + exponent1 () : first(0) { } + explicit exponent1 (unsigned first_) : first(first_) { } + exponent1 (const exponent1 &e) : first(e.first) { } + ~exponent1 () { } + + exponent1 &operator = (const exponent1 &e) { first = e.first; return *this; } + + inline laurentpoly operator + (const exponent1 &e) const; + + exponent1 &operator *= (const exponent1 &e) { first += e.first; return *this; } + exponent1 operator * (const exponent1 &e) const { return exponent1 (first + e.first); } + + template laurentpoly operator * (const T &c) const + { + laurentpoly r; + r.addeq (c, *this); + return r; + } + + bool operator == (int x) const { assert (x == 0); return !first; } + bool operator != (int x) const { return !operator == (x); } + + bool operator == (const exponent1 &e) const { return first == e.first; } + bool operator != (const exponent1 &e) const { return !operator == (e); } + bool operator < (const exponent1 &e) const { return first < e.first; } + + exponent1 operator ^ (int p) const { return exponent1 (first * p); } + + void show_self () const { printf ("(%d)", first); } + void display_self () const { show_self (); newline (); } +}; + +class exponent2 +{ + public: + int first, + second; + + public: + exponent2 () : first(0), second(0) { } + explicit exponent2 (int i) : first(0), second(0) { assert (i == 0); } + exponent2 (int first_, int second_) : first(first_), second(second_) { } + exponent2 (const exponent2 &e) : first(e.first), second(e.second) { } + ~exponent2 () { } + + exponent2 &operator = (const exponent2 &e) { first = e.first; second = e.second; return *this; } + + inline laurentpoly operator + (const exponent2 &e) const; + + exponent2 &operator *= (const exponent2 &e) { first += e.first; second += e.second; return *this; } + exponent2 operator * (const exponent2 &e) const { return exponent2 (first + e.first, second + e.second); } + + template laurentpoly operator * (const T &c) const + { + laurentpoly r; + r.addeq (c, *this); + return r; + } + + bool operator == (int x) const { assert (x == 0); return !first && !second; } + bool operator != (int x) const { return !operator == (x); } + + bool operator == (const exponent2 &e) const { return first == e.first && second == e.second; } + bool operator != (const exponent2 &e) const { return !operator == (e); } + bool operator < (const exponent2 &e) const { return first < e.first + || (first == e.first && second < e.second); } + + exponent2 operator ^ (int p) const { return exponent2 (first * p, second * p); } + + void show_self () const { printf ("(%d,%d)", first, second); } + void display_self () const { show_self (); newline (); } + + unsigned texwidth () const + { + if (!first && !second) + return 1; + + unsigned w = 0; + if (first == 1) + w ++; + else if (first < 0) + w += 3; + else if (first) + w += 2; + + if (second == 1) + w ++; + else if (second < 0) + w += 3; + else if (second) + w += 2; + + return w; + } + void texshow (FILE *fp) const + { + if (!first && !second) + printf ("1"); + else + { + if (first == 1) + printf ("t"); + else if (first) + printf ("t^{%d}", first); + + if (second == 1) + printf ("q"); + else if (second) + printf ("q^{%d}", second); + } + } +}; + +#if 0 +template laurentpoly operator * (const T &c, const E &e) +{ + return e*c; +} +#endif + +template +class laurentpoly +{ +public: + typedef typename map::iter map_iter; + typedef typename map::const_iter map_const_iter; + + map m; + +public: + laurentpoly () { } + explicit laurentpoly (const C &c) { m.push (E (0), c); } + explicit laurentpoly (const E &e) { m.push (e, 1); } + laurentpoly (const laurentpoly &p) : m(p.m) { } + laurentpoly (copy, const laurentpoly &p) : m(COPY, p.m) { } + ~laurentpoly () { } + + laurentpoly &operator = (const laurentpoly &p) { m = p.m; return *this; } + laurentpoly &operator = (const C &c) { m.clear (); m.push (E (0), c); } + + bool operator == (const laurentpoly &p) { return m == p.m; } + bool operator != (const laurentpoly &p) { return m != p.m; } + + laurentpoly &operator += (const laurentpoly &p); + laurentpoly &operator -= (const laurentpoly &p); + laurentpoly &operator *= (const laurentpoly &p) { operator = (*this * p); } + laurentpoly &operator *= (const C &s); + + laurentpoly &subeq (const C &s, const E &e); + laurentpoly &addeq (const C &s, const E &e); + + laurentpoly &muleq (const C &s, const E &e); + laurentpoly &muladdeq (const C &s, const E &e, const laurentpoly &p); + + laurentpoly operator - () const; + + laurentpoly operator + (const E &e) const { return *this + laurentpoly (e); } + laurentpoly operator + (const C &c) const { return *this + laurentpoly (c); } + + laurentpoly operator + (const laurentpoly &p) const; + laurentpoly operator - (const laurentpoly &p) const; + laurentpoly operator * (const laurentpoly &p) const; + laurentpoly operator * (const E &e) const; + laurentpoly operator * (const C &s) const; + + C aug () const + { + C r = 0; + for (map_const_iter i = m; i; i ++) + r += i.val (); + return r; + } + void show_self () const; + void display_self () const { show_self (); newline (); } + void texshow (FILE *fp); +}; + +template inline laurentpoly operator + (const E &e, const laurentpoly &p) { return p + e; } +template inline laurentpoly operator + (const C &c, const laurentpoly &p) { return p + c; } + +template inline laurentpoly operator * (const C &s, const laurentpoly &p) { return p * s; } + +template laurentpoly & +laurentpoly::operator += (const laurentpoly &p) +{ + for (map_const_iter i = p.m; i; i ++) + addeq (i.val (), i.key ()); + return *this; +} + +template laurentpoly & +laurentpoly::operator -= (const laurentpoly &p) +{ + for (map_const_iter i = p.m; i; i ++) + subeq (i.val (), i.key ()); + return *this; +} + +template laurentpoly & +laurentpoly::operator *= (const C &s) +{ + for (map_iter i = m; i; i ++) + i.val () *= s; + return *this; +} + +template laurentpoly & +laurentpoly::addeq (const C &s, const E &e) +{ + pair x = m.find (e); + if (!x.second) + x.first = s; + else + x.first += s; + return *this; +} + +template laurentpoly & +laurentpoly::subeq (const C &s, const E &e) +{ + pair x = m.find (e); + if (!x.second) + x.first = -s; + else + x.first -= s; + return *this; +} + +template laurentpoly & +laurentpoly::muleq (const C &s, const E &e) +{ + map new_m; + for (map_const_iter i = m; i; i ++) + m.push (e * m.key (), s * m.val ()); + m = new_m; + return *this; +} + +template laurentpoly & +laurentpoly::muladdeq (const C &s, const E &e, const laurentpoly &p) +{ + for (map_const_iter i = p.m; i; i ++) + addeq (s * i.val (), e * i.key ()); +} + +template laurentpoly +laurentpoly::operator - () const +{ + map new_m; + for (map_const_iter i = m; i; i ++) + new_m.push (m.key (), -m.val ()); + return laurentpoly (new_m); +} + +template laurentpoly +laurentpoly::operator + (const laurentpoly &p) const +{ + laurentpoly r (COPY, *this); + r += p; + return r; +} + +template laurentpoly +laurentpoly::operator - (const laurentpoly &p) const +{ + laurentpoly r (COPY, *this); + r -= p; + return r; +} + +template laurentpoly +laurentpoly::operator * (const laurentpoly &p) const +{ + laurentpoly r (*this); + for (map_const_iter i = m; i; i ++) + r.muladdeq (i.val (), i.key (), p.m); + return r; +} + +template laurentpoly +laurentpoly::operator * (const C &s) const +{ + laurentpoly r (COPY, *this); + for (map_iter i = r.m; i; i ++) + i.val () *= s; + return r; +} + +template laurentpoly +laurentpoly::operator * (const E &e) const +{ + laurentpoly r; + for (map_const_iter i = m; i; i ++) + r.addeq (i.val (), i.key () * e); + return r; +} + +template void +laurentpoly::show_self () const +{ + if (m.card () == 0) + { + printf ("0"); + return; + } + + bool first = 1; + for (map_const_iter i = m; i; i ++) + { + if (i.val () != 0) + { + if (!first) + printf (" + "); + + if (i.val () == 1) + show (i.key ()); + else + { + show (i.val ()); + printf ("*"); + show (i.key ()); + } + first = 0; + } + } +} + +template void +laurentpoly::texshow (FILE *fp) +{ + bool first = 1; + unsigned w = 0; + for (map_const_iter i = m; i; i ++) + { + if (i.val () == 0) + continue; + + if (w > 47) + { + fprintf (fp, " \\\\\n"); + fprintf (fp, " & & & "); + w = 0; + } + + if (first) + first = 0; + else + { + printf ("+"); + w += 3; + } + + if (i.val () == 1) + { + i.key ().texshow (fp); + w += i.key ().texwidth (); + } + else + { + fprintf (fp, "%d", i.val ()); + w ++; + if (i.key () != 0) + { + i.key ().texshow (fp); + w += i.key ().texwidth (); + } + } + } +} + +typedef laurentpoly intpoly1; +typedef laurentpoly intpoly2; + +inline laurentpoly +exponent1::operator + (const exponent1 &e) const +{ + intpoly1 r; + r.addeq (1, *this); + r.addeq (1, e); + return r; +} + +inline laurentpoly +exponent2::operator + (const exponent2 &e) const +{ + intpoly2 r; + r.addeq (1, *this); + r.addeq (1, e); + return r; +} diff --git a/algebra/linear_combination.h b/algebra/linear_combination.h new file mode 100644 index 0000000..f4f83f7 --- /dev/null +++ b/algebra/linear_combination.h @@ -0,0 +1,472 @@ + +template class linear_combination_const_iter; + +template +class linear_combination +{ + private: + // friend class linear_combination_iter; + friend class linear_combination_const_iter; + + friend class module; + friend class free_submodule; + friend class quotient_module; + friend class mod_map; + + typedef module Rmod; + + public: + // typedef linear_combination_iter iter; + typedef linear_combination_const_iter const_iter; + + private: + ptr m; + map v; + + public: + linear_combination () { } + explicit linear_combination (ptr m_) : m(m_) { } + linear_combination (ptr m_, int x) + : m(m_) + { + assert (x == 0); + } + + linear_combination (const linear_combination &lc) : m(lc.m), v(lc.v) { } + linear_combination (copy, const linear_combination &lc) + : m(lc.m) + { + for (typename map::const_iter i = lc.v; i; i ++) + v.push (i.key (), R (COPY, i.val ())); + } + ~linear_combination () { } + + linear_combination &operator = (const linear_combination &lc) + { + m = lc.m; + v = lc.v; + return *this; + } + + bool operator == (const linear_combination &lc2) const + { + assert (m == lc2.m); + linear_combination lc3 (COPY, *this); + lc3 -= lc2; + return lc3 == 0; + } + + bool operator == (int x) const + { + assert (x == 0); +#ifndef NDEBUG + check (); +#endif + return v.is_empty (); + } + + bool operator != (int x) const { return !operator == (x); } + + bool homogeneous () const + { + if (v.is_empty ()) + return 1; + + pair p = v.head (); + grading hq = m->generator_grading (p.first); + for (typename map::const_iter i = v; i; i ++) + { + if (hq != m->generator_grading (i.key ())) + return 0; + } + return 1; + } + + pair head () const { return v.head (); } + grading hq () const + { + // assert (homogeneous ()); + + pair p = v.head (); + return m->generator_grading (p.first); + } + + R annihilator () const; + + void set (R c, unsigned i) + { + if (c == 0) + v -= i; + else + v[i] = c; + } + + linear_combination operator * (R c) const + { + linear_combination r (COPY, *this); + r *= c; + return r; + } + + linear_combination operator + (const linear_combination &lc) const + { + linear_combination r (COPY, *this); + r += lc; + return r; + } + + linear_combination operator - (const linear_combination &lc) const + { + linear_combination r (COPY, *this); + r -= lc; + return r; + } + + linear_combination &operator += (unsigned i) { return muladd (1, i); } + linear_combination &operator -= (unsigned i) { return mulsub (1, i); } + + linear_combination &operator *= (R c); + linear_combination &operator /= (R c); + + linear_combination &operator += (const linear_combination &lc); + linear_combination &operator -= (const linear_combination &lc); + + linear_combination &muladd (R c, unsigned i); + linear_combination &muladd (R c, const linear_combination &lc); + + linear_combination &mulsub (R c, unsigned i); + linear_combination &mulsub (R c, const linear_combination &lc); + + void yank (unsigned i) { v.yank (i); } + void clear () { v.clear (); } + + bool operator % (unsigned i) const { return v % i; } + R operator () (unsigned i) const { return v(i, R (0)); } + + unsigned card () const { return v.card (); } + +#ifndef NDEBUG + void check () const + { + for (typename map::const_iter i = v; i; i ++) + assert (!m->is_zero (i.val (), i.key ())); + } +#endif + + void show_self () const; + void display_self () const { show_self (); newline (); } +}; + +template linear_combination +operator * (R c, const linear_combination &lc) +{ + return lc * c; +} + +template +class linear_combination_const_iter +{ + typename map::const_iter i; + + public: + linear_combination_const_iter (const linear_combination &lc) : i(lc.v) { } + ~linear_combination_const_iter () { } + + operator bool () const { return i; } + linear_combination_const_iter &operator ++ () { i ++; return *this; } + void operator ++ (int) { i ++; } + unsigned key () const { return i.key (); } + R val () { return i.val (); } +}; + +template R +linear_combination::annihilator () const +{ + R r (1); + for (typename map::const_iter i = v; i; i ++) + r = r.lcm (m->annihilator (i.val (), i.key ())); + return r; +} + +template linear_combination & +linear_combination::operator *= (R c) +{ + if (c == 0) + v.clear (); + else if (c != 1) + { + for (typename map::iter i = v; i; i ++) + i.val () *= c; + } + return *this; +} + +template linear_combination & +linear_combination::operator += (const linear_combination &lc) +{ + assert (m == lc.m); + for (typename map::const_iter i = lc.v; i; i ++) + { + unsigned k = i.key (); + R &c = v[k]; + c += i.val (); + if (m->is_zero (c, k)) + v -= k; + } + return *this; +} + +template linear_combination & +linear_combination::operator -= (const linear_combination &lc) +{ + assert (m == lc.m); + for (typename map::const_iter i = lc.v; i; i ++) + { + unsigned k = i.key (); + R &c = v[k]; + c -= i.val (); + if (m->is_zero (c, k)) + v -= k; + } + return *this; +} + +template linear_combination & +linear_combination::muladd (R c, unsigned i) +{ + R &ic = v[i]; + ic += c; + if (m->is_zero (ic, i)) + v -= i; + return *this; +} + +template linear_combination & +linear_combination::muladd (R c, const linear_combination &lc) +{ + assert (m == lc.m); + for (typename map::const_iter i = lc.v; i; i ++) + { + unsigned k = i.key (); + R &vc = v[k]; + vc += (c * i.val ()); + if (vc == 0) + v -= k; + } + return *this; +} + +template linear_combination & +linear_combination::mulsub (R c, unsigned i) +{ + R &ic = v[i]; + ic -= c; + if (m->is_zero (ic, i)) + v -= i; + return *this; +} + +template linear_combination & +linear_combination::mulsub (R c, const linear_combination &lc) +{ + assert (m == lc.m); + for (typename map::const_iter i = lc.v; i; i ++) + { + unsigned k = i.key (); + R &vc = v[k]; + vc -= (c * i.val ()); + if (vc == 0) + v -= k; + } + return *this; +} + +template void +linear_combination::show_self () const +{ + bool first = 1; + for (typename map::const_iter i = v; i; i ++) + { + if (first) + first = 0; + else + printf (" + "); + show (i.val ()); + printf ("*%d", i.key ()); + } +} + +template<> +class linear_combination +{ + private: + // friend class linear_combination_iter; + friend class linear_combination_const_iter; + + friend class module; + friend class free_submodule; + friend class quotient_module; + friend class mod_map; + + typedef module Z2mod; + + public: + typedef linear_combination_const_iter const_iter; + + private: + ptr m; + set v; + + public: + linear_combination () { } + linear_combination (ptr m_) : m(m_) { } + linear_combination (const linear_combination &lc) : m(lc.m), v(lc.v) { } + linear_combination (copy, const linear_combination &lc) : m(lc.m), v(COPY, lc.v) { } + ~linear_combination () { } + + linear_combination &operator = (const linear_combination &lc) + { + m = lc.m; + v = lc.v; + return *this; + } + + bool operator == (const linear_combination &lc) const { assert (m == lc.m); return v == lc.v; } + + bool operator == (int x) const { assert (x == 0); return v.is_empty (); } + bool operator != (int x) const { return !operator == (x); } + + pair head () const { return pair (v.head (), Z2 (1)); } + grading hq () const + { + // assert (homogeneous ()); + return m->generator_grading (v.head ()); + } + + Z2 annihilator () const + { + return Z2 (operator == (0) ? 1 : 0); + } + + void set (Z2 c, unsigned i) + { + if (c == 0) + v -= i; + else + v += i; + } + + linear_combination operator * (Z2 c) const + { + if (c == 1) + return *this; + else + return linear_combination (m); + } + + linear_combination operator + (const linear_combination &lc) const + { + linear_combination r (COPY, *this); + r += lc; + return r; + } + + linear_combination operator - (const linear_combination &lc) const + { + linear_combination r (COPY, *this); + r -= lc; + return r; + } + + linear_combination &operator *= (Z2 c) + { + if (c == 0) + v.clear (); + return *this; + } + linear_combination &operator /= (Z2 c) { assert (c == 1); return *this; } + + linear_combination &operator += (unsigned i) { v.toggle (i); return *this; } + linear_combination &operator -= (unsigned i) { v.toggle (i); return *this; } + + linear_combination &muladd (Z2 c, unsigned i) + { + if (c == 1) + operator += (i); + return *this; + } + + linear_combination &mulsub (Z2 c, unsigned i) + { + if (c == 1) + operator -= (i); + return *this; + } + + linear_combination &operator += (const linear_combination &lc) { v ^= lc.v; return *this; } + linear_combination &operator -= (const linear_combination &lc) { v ^= lc.v; return *this; } + + linear_combination &muladd (Z2 c, const linear_combination &lc) + { + if (c == 1) + operator += (lc); + return *this; + } + linear_combination &mulsub (Z2 c, const linear_combination &lc) + { + if (c == 1) + operator -= (lc); + return *this; + } + + void yank (unsigned i) { v.yank (i); } + void clear () { v.clear (); } + + bool operator % (unsigned i) const { return v % i; } + Z2 operator () (unsigned i) const { return Z2 (v % i); } + + unsigned card () const { return v.card (); } + +#ifndef NDEBUG + void check () const; +#endif + + void show_self () const; + void display_self () const { show_self (); newline (); } +}; + +inline void +linear_combination::show_self () const +{ + bool first = 1; + for (set_const_iter i = v; i; i ++) + { + if (first) + first = 0; + else + printf ("+"); + printf ("%d", i.val ()); + } +} + +inline linear_combination +operator * (Z2 c, const linear_combination &lc) +{ + return lc * c; +} + +template<> +class linear_combination_const_iter +{ + set::const_iter i; + + public: + linear_combination_const_iter (const linear_combination &lc) : i(lc.v) { } + ~linear_combination_const_iter () { } + + operator bool () const { return i; } + linear_combination_const_iter &operator ++ () { i ++; return *this; } + void operator ++ (int) { i ++; } + unsigned key () const { return i.val (); } + Z2 val () { return Z2 (1); } +}; diff --git a/algebra/module.h b/algebra/module.h new file mode 100644 index 0000000..c43cd15 --- /dev/null +++ b/algebra/module.h @@ -0,0 +1,1255 @@ + +template class mod_map; +template class mod_span; +template class free_submodule; +template class quotient_module; + +/* `module' is a bigraded module over a ring R. */ +template +class module : public refcounted +{ + typedef typename R::linear_combination linear_combination; + typedef typename R::linear_combination_const_iter linear_combination_const_iter; + + typedef mod_map Rmod_map; + typedef mod_span Rmod_span; + + public: + module () { } + module (const module &); // doesn't exist + virtual ~module () { } + + module &operator = (const module &); // doesn't exist + + public: + // the number of generators; n + virtual unsigned dim () const = 0; + + // r; 1 <= r <= n + virtual unsigned free_rank () const = 0; + + virtual grading generator_grading (unsigned i) const = 0; + virtual void show_generator (unsigned i) const = 0; + + // r < i <= n + virtual R generator_ann (unsigned i) const = 0; + + bool is_zero (R c, unsigned i) const + { + if (i <= free_rank ()) + return c == 0; + else + return generator_ann (i) | c; + } + + R annihilator (R c, unsigned i) const + { + R iann = generator_ann (i); + + return iann.div (iann.gcd (c)); + } + + bool isomorphic (ptr > m) const; + + ptr > quotient (const Rmod_span &span) const; + ptr > quotient (ptr > m) const; + + ptr > submodule (const Rmod_span &span) const; + + intpoly2 free_poincare_polynomial () const; + intpoly1 free_delta_poincare_polynomial () const; + + void show_self () const; + void display_self () const; +}; + +template +class base_module : public module +{ + private: + G g; + + public: + base_module (); // doesn't exist + base_module (const G &g_) : g(g_) { } + ~base_module () { } + + base_module &operator = (const base_module &); // doesn't exist + + unsigned dim () const { return g.dim (); } + unsigned free_rank () const { return g.free_rank (); } + grading generator_grading (unsigned i) const { return g.generator_grading (i); } + void show_generator (unsigned i) const { g.show_generator (i); } + R generator_ann (unsigned i) const { return g.generator_ann (i); } +}; + +template +class explicit_module : public module +{ + unsigned r; + basedvector ann; + basedvector hq; + + public: + explicit_module (); // doesn't exist + explicit_module (unsigned r_, + basedvector ann_, + basedvector hq_) + : r(r_), ann(ann_), hq(hq_) + { } + + explicit explicit_module (unsigned r_, basedvector hq_) : r(r_), hq(hq_) { } + ~explicit_module () { } + + explicit_module &operator = (const explicit_module &); // doesn't exist + + unsigned dim () const { return r + ann.size (); } + unsigned free_rank () const { return r; } + grading generator_grading (unsigned i) const { return hq[i]; } + void show_generator (unsigned i) const { printf ("%d", i); } + R generator_ann (unsigned i) const { return ann[i - r]; } +}; + +template +class free_submodule : public module +{ + friend class module; + + typedef typename R::linear_combination linear_combination; + typedef typename R::linear_combination_const_iter linear_combination_const_iter; + + ptr > parent; + basedvector gens; + basedvector pivots; + + public: + free_submodule (ptr > parent_, + basedvector gens_, + basedvector pivots_) + : parent(parent_), + gens(gens_), + pivots(pivots_) + { } + ~free_submodule () { } + + free_submodule &operator = (const free_submodule &); // doesn't exist + + ptr > parent_module () const { return parent; } + + unsigned dim () const { return gens.size (); } + unsigned free_rank () const { return gens.size (); } + grading generator_grading (unsigned i) const { return gens[i].hq (); } + void show_generator (unsigned i) const { show (gens[i]); } + R generator_ann (unsigned i) const { abort (); } + + linear_combination inject_generator (unsigned i) const { return gens[i]; } + linear_combination inject (linear_combination v) const; + + mod_map injection_map () const; + + linear_combination restrict (linear_combination v0) const; + ptr > restrict_submodule (ptr > m) const; +}; + +template +class quotient_module : public module +{ + friend class module; + + typedef typename R::linear_combination linear_combination; + typedef typename R::linear_combination_const_iter linear_combination_const_iter; + + ptr > parent; + + // note: these get filled in by module::quotient + + basedvector ann; + + // parent lc representing i + basedvector rep; + + // map from parent generator to lc in quotient + basedvector, 1> pi; + + public: + quotient_module (const quotient_module &); // doesn't exist + quotient_module (ptr > parent_) + : parent(parent_) + { } + ~quotient_module () { } + + quotient_module &operator = (const quotient_module &); // doesn't exsit + + ptr > parent_module () const { return parent; } + + unsigned dim () const { return rep.size (); } + unsigned free_rank () const { return rep.size () - ann.size (); } + grading generator_grading (unsigned i) const { return rep[i].hq (); } + void show_generator (unsigned i) const + { + show (rep[i]); + printf ("/~"); + } + + R generator_ann (unsigned i) const + { + unsigned r = free_rank (); + assert (i > r); + return ann[i - r]; + } + + linear_combination project_generator (unsigned i) const + { + assert (i >= 1 && i <= parent->dim ()); + linear_combination r (this); + for (typename map::const_iter j = pi[i]; j; j ++) + r.muladd (j.val (), j.key ()); + return r; + } + + linear_combination project (linear_combination v) const + { + assert (v.m == parent); + linear_combination r (this); + for (linear_combination_const_iter i = v; i; i ++) + r.muladd (i.val (), project_generator (i.key ())); + return r; + } + + linear_combination generator_rep (unsigned i) const { return rep[i]; } +}; + +template +class mod_map +{ + typedef const module Rmod; + typedef typename R::linear_combination linear_combination; + // typedef typename R::linear_combination_iter linear_combination_iter; + typedef typename R::linear_combination_const_iter linear_combination_const_iter; + + ptr from, + to; + basedvector columns; + + public: + mod_map () { } + mod_map (ptr fromto); + mod_map (ptr fromto, int i); + mod_map (ptr from_, ptr to_); + mod_map (ptr from_, + ptr to_, + basedvector columns_) + : from(from_), to(to_), columns(columns_) + { } + + mod_map (copy, const mod_map &m) + : from(m.from), to(m.to), columns(COPY, m.columns) + { } + + mod_map (copy2, const mod_map &m) + : from(m.from), to(m.to), columns(COPY2, m.columns) + { } + + bool operator == (const mod_map &m2) const + { + assert (from == m2.from); + assert (to == m2.to); + return columns == m2.columns; + } + + bool operator == (int x) const + { + R c (x); + assert (c == 0); + + for (unsigned i = 1; i <= from->dim (); i ++) + { + if (columns[i] != 0) + return 0; + } + return 1; + } + + bool operator != (int x) const { return !operator == (x); } + + mod_map &operator = (const mod_map &m) + { + from = m.from; + to = m.to; + columns = m.columns; + return *this; + } + + linear_combination &operator [] (unsigned i) { return columns[i]; } + const linear_combination &operator [] (unsigned i) const { return columns[i]; } + + linear_combination map (const linear_combination &lc) const; + mod_map compose (const mod_map &m2) const; + + mod_map &operator *= (R c); + mod_map &operator += (const mod_map &m2); + + mod_map operator + (const mod_map &m2) const; + + bool homogeneous () const; + void check_grading (grading delta) const; + + // inj : ker -> from + ptr > kernel () const; + + // inj : im -> to + ptr > image () const; + + ptr > cokernel () const; + + ptr > homology () const; + + mod_map restrict_from (ptr > new_from) const; + mod_map restrict_to (ptr > new_to) const; + mod_map restrict (ptr > new_from, + ptr > new_to) const; + mod_map restrict (ptr > new_fromto) const + { + return restrict (new_fromto, new_fromto); + } + + mod_map induced_map_to (ptr > new_to); + mod_map induced_map (ptr > new_fromto); + + void show_self () const; + void display_self () const; +}; + +template +class mod_span +{ + typedef typename R::linear_combination linear_combination; + typedef typename R::linear_combination_const_iter linear_combination_const_iter; + + public: + basedvector gens; + basedvector pivots; + + public: + mod_span (ptr > mod, basedvector xs); + ~mod_span () { } +}; + +template +class quotient_helper +{ + public: + typedef typename R::linear_combination linear_combination; + typedef typename R::linear_combination_const_iter linear_combination_const_iter; + + public: + ptr > mod; + + // rows of the presentation matrix + basedvector rows; + + basedvector generators; + basedvector generators_inv; + + bool improve_pivot_row (unsigned i, unsigned j, unsigned i2); + bool improve_pivot_column (unsigned i, unsigned j, unsigned j2); + void improve_pivot (unsigned i, unsigned j); + + public: + quotient_helper (ptr > mod_, basedvector rows); + + void normalize (); +}; + +template bool +module::isomorphic (ptr > m) const +{ + if (dim () != m->dim () + || free_rank () != m->free_rank ()) + return 0; + + set gradings; + for (unsigned i = 1; i <= dim (); i ++) + gradings += generator_grading (i); + + for (set_const_iter i = gradings; i; i ++) + { + grading hq = i.val (); + + unsigned hq_r = 0, + m_hq_r = 0; + basedvector hq_ann, m_hq_ann; + for (unsigned i = 1; i <= dim (); i ++) + { + if (generator_grading (i) == hq) + { + if (i <= free_rank ()) + hq_r ++; + else + { + hq_ann.append (generator_ann (i)); + } + } + if (m->generator_grading (i) == hq) + { + if (i <= free_rank ()) + m_hq_r ++; + else + { + m_hq_ann.append (m->generator_ann (i)); + } + } + } + + if (hq_r != m_hq_r) + return 0; + + if (hq_ann.size () != m_hq_ann.size ()) + return 0; + + for (unsigned i = 1; i <= hq_ann.size (); i ++) + { + R a = hq_ann[i], + m_a = m_hq_ann[i]; + if (! (a | m_a && m_a | a)) + return 0; + } + } + + return 1; +} + +template +quotient_helper::quotient_helper (ptr > mod_, + basedvector rows_) + : mod(mod_), + rows(rows_), + generators(mod->dim ()), + generators_inv(mod->dim ()) +{ + assert (mod->dim () == mod->free_rank ()); + + for (unsigned i = 1; i <= mod->dim (); i ++) + { + linear_combination v (mod); + v.muladd (1, i); + generators[i] = v; + + linear_combination vinv (mod); + vinv.muladd (1, i); + generators_inv[i] = vinv; + } +} + +template bool +quotient_helper::improve_pivot_row (unsigned i, unsigned j, unsigned i2) +{ + assert (i != i2); + + const linear_combination &r = rows[i], + &r2 = rows[i2]; + R rc = r(j), + r2c = r2(j); + + if (r2c == 0) + return 0; + +#if 0 + if (rc | r2c) + { + R q = r2c.div (rc); + rows[i2].mulsub (q, r); + + assert (rows[i2](j) == 0); + + return 0; + } +#endif + + triple t = rc.extended_gcd (r2c); + assert (t.first == rc*t.second + t.third*r2c); + + rows[i] = r*t.second + r2*t.third; + rows[i2] = (rc.div (t.first))*r2 - (r2c.div (t.first))*r; + + assert ((rc | r2c) == rc.divides (t.first)); + assert (!rc.divides (t.first) || rows[i2](j) == 0); + + return !rc.divides (t.first); +} + +template bool +quotient_helper::improve_pivot_column (unsigned i, unsigned j, unsigned j2) +{ + assert (j != j2); + +#if 0 + basedvector orig_row_image (rows.size ()); + for (unsigned k = 1; k <= rows.size (); k ++) + { + linear_combination r (mod); + for (linear_combination_const_iter l = rows[k]; l; l ++) + r.muladd (l.val (), generators[l.key ()]); + orig_row_image[k] = r; + } +#endif + + const linear_combination &r = rows[i]; + R rc = r(j), + rc2 = r(j2); + + assert (rc != 0); + if (rc2 == 0) + return 0; + + assert (generators[j].hq () == generators[j2].hq ()); + +#if 0 + if (rc | rc2) + { + R q = rc2.div (rc); + for (unsigned k = 1; k <= rows.size (); k ++) + { + linear_combination &rk = rows[k]; + rk.mulsub (rk(j) * q, j2); + } + + assert (r(j2) == 0); + + return 0; + } +#endif + + triple t = rc.extended_gcd (rc2); + assert (t.first == rc*t.second + t.third*rc2); + + for (unsigned k = 1; k <= rows.size (); k ++) + { + linear_combination &rk = rows[k]; + R rkc = rk(j), + rkc2 = rk(j2); + + rk.set (rkc*t.second + rkc2*t.third, + j); + rk.set (rkc2*(rc.div (t.first)) - rkc*(rc2.div (t.first)), + j2); + } + + linear_combination g = generators[j], + g2 = generators[j2]; + + assert (g.hq () == g2.hq ()); + + generators[j] = (rc.div (t.first)) * g + (rc2.div (t.first)) * g2; + generators[j2] = t.second * g2 - t.third * g; + + #if 0 + for (unsigned k = 1; k <= rows.size (); k ++) + { + linear_combination r2 (mod); + for (linear_combination_const_iter l = rows[k]; l; l ++) + r2.muladd (l.val (), generators[l.key ()]); + assert (r2 == orig_row_image[k]); + } +#endif + + for (unsigned k = 1; k <= mod->dim (); k ++) + { + linear_combination &ginv = generators_inv[k]; + + R d = ginv(j), + d2 = ginv(j2); + + ginv.set (t.second*d + t.third*d2, j); + ginv.set (rc.div (t.first) * d2 - rc2.div (t.first) * d, j2); + } + +#if 0 + for (unsigned k = 1; k <= mod->dim (); k ++) + { + linear_combination r (mod); + r.muladd (1, k); + + linear_combination r2 (mod); + for (linear_combination_const_iter l = generators_inv[k]; l; l ++) + r2.muladd (l.val (), generators[l.key ()]); + + assert (r == r2); + } +#endif + + assert ((rc | rc2) == rc.divides (t.first)); + assert (!rc.divides (t.first) || r(j2) == 0); + + return !rc.divides (t.first); +} + +template void +quotient_helper::improve_pivot (unsigned i, unsigned j) +{ + for (;;) + { + bool changed = 0; + for (unsigned k = 1; k <= rows.size (); k ++) + { + if (k == i) + continue; + if (improve_pivot_row (i, j, k)) + changed = 1; + } + + for (unsigned k = 1; k <= mod->dim (); k ++) + { + if (k == j) + continue; + if (improve_pivot_column (i, j, k)) + changed = 1; + } + +#if 0 + L: + for (linear_combination_const_iter k = rows[i]; k; k ++) + { + if (k.key () != j) + { + if (improve_pivot_column (i, j, k.key ())) + changed = 1; + goto L; + } + } +#endif + + if (!changed) + return; + } +} + +template void +quotient_helper::normalize () +{ + for (unsigned i = 1; i <= rows.size (); i ++) + { + if (rows[i] == 0) + continue; + + pair p = rows[i].head (); + improve_pivot (i, p.first); + } + + for (unsigned i = 1; i <= rows.size (); i ++) + { + if (rows[i] == 0) + continue; + + assert (rows[i].card () == 1); + pair p = rows[i].head (); + grading ihq = generators[p.first].hq (); + + for (unsigned j = i; j <= rows.size (); j ++) + { + if (rows[j] == 0) + continue; + + assert (rows[j].card () == 1); + pair q = rows[j].head (); + grading jhq = generators[q.first].hq (); + + if (ihq != jhq) + continue; + + if (p.second | q.second) + continue; + + rows[i] += rows[j]; + improve_pivot (i, p.first); + +#ifndef NDEBUG + assert (rows[i].card () == 1); + pair p2 = rows[i].head (); + assert (p2.first == p.first); + + assert (rows[j].card () == 1); + pair q2 = rows[j].head (); + assert (q2.first == q.first); + + assert (p2.second | q2.second); +#endif + } + } +} + +template ptr > +module::quotient (const Rmod_span &span) const +{ + unsigned n = dim (); + + quotient_helper h (this, span.gens); + h.normalize (); + + basedvector ann (n); + for (unsigned i = 1; i <= h.rows.size (); i ++) + { + if (h.rows[i] == 0) + continue; + + assert (h.rows[i].card () == 1); + + pair p = h.rows[i].head (); + ann[p.first] = p.second; + } + + ptr > Q = new quotient_module (this); + + unsigned quot_r = 0; + basedvector quot_rep; + + basedvector generator_quot_gen (n); + for (unsigned i = 1; i <= n; i ++) + generator_quot_gen[i] = 0; + + for (unsigned i = 1; i <= n; i ++) + { + if (ann[i] == 0) + { + quot_r ++; + quot_rep.append (h.generators[i]); + generator_quot_gen[i] = quot_r; + } + } + + unsigned quot_n = quot_r; + basedvector quot_ann; + for (unsigned i = 1; i <= n; i ++) + { + R a = ann[i]; + if (a != 0 && !a.is_unit ()) + { + quot_n ++; + quot_rep.append (h.generators[i]); + + assert (generator_quot_gen[i] == 0); + generator_quot_gen[i] = quot_n; + quot_ann.append (a); + } + } + + basedvector, 1> quot_pi (n); + for (unsigned i = 1; i <= n; i ++) + { + map v; + for (linear_combination_const_iter j = h.generators_inv[i]; j; j ++) + { + unsigned qg = generator_quot_gen[j.key ()]; + if (qg) + v.push (qg, j.val ()); + } + quot_pi[i] = v; + } + + assert (quot_n >= quot_r); + assert (quot_rep.size () == quot_n); + assert (quot_ann.size () == quot_n - quot_r); + + Q->rep = quot_rep; + Q->pi = quot_pi; + Q->ann = quot_ann; + + assert (Q->dim () == quot_n); + assert (Q->free_rank () == quot_r); + + return Q; +} + +template ptr > +module::quotient (ptr > m) const +{ + assert (m->parent_module () == this); + + // ??? duplicate + mod_span span (this, m->gens); + return quotient (span); +} + +template ptr > +module::submodule (const Rmod_span &span) const +{ + assert (free_rank () == dim ()); + return new free_submodule (this, + span.gens, + span.pivots); +} + +template intpoly2 +module::free_poincare_polynomial () const +{ + intpoly2 r; + for (unsigned i = 1; i <= free_rank (); i ++) + { + grading hq = generator_grading (i); + r.addeq (1, exponent2 (hq.h, hq.q)); + } + return r; +} + +template intpoly1 +module::free_delta_poincare_polynomial () const +{ + intpoly1 r; + for (unsigned i = 1; i <= free_rank (); i ++) + { + grading hq = generator_grading (i); + r.addeq (1, exponent1 (hq.q - 2*hq.h)); + } + return r; +} + +template void +module::show_self () const +{ + printf ("module/"); + R::show_ring (); + printf (" %p %d", this, dim ()); +} + +template void +module::display_self () const +{ + show_self (); newline (); + + printf (" free_rank %d\n", free_rank ()); + + for (unsigned i = 1; i <= dim (); i ++) + { + printf (" %d ", i); + show (generator_grading (i)); + printf (" "); + show_generator (i); + + if (i > free_rank ()) + { + printf (": "); + R iann = generator_ann (i); + if (iann.is_unit ()) + printf ("0\n"); + else + { + R::show_ring (); + if (iann != 0) + { + printf ("/"); + show (iann); + R::show_ring (); + } + } + } + newline (); + } +} + +template typename R::linear_combination +free_submodule::inject (linear_combination v) const +{ + linear_combination r (parent); + for (linear_combination_const_iter i = v; i; i ++) + r.muladd (i.val (), gens[i.key ()]); + return r; +} + +template mod_map +free_submodule::injection_map () const +{ + return mod_map (this, parent, gens); +} + +template mod_map +mod_map::induced_map_to (ptr > new_to) +{ + assert (new_to->parent_module () == to); + + mod_map r (from, new_to); + for (unsigned i = 1; i <= from->dim (); i ++) + r[i] = new_to->project (columns[i]); + return r; +} + +template mod_map +mod_map::induced_map (ptr > new_fromto) +{ + assert (from == new_fromto->parent_module ()); + assert (to == new_fromto->parent_module ()); + + // ??? doesn't check induced map is well-defined + + mod_map r (new_fromto, new_fromto); + for (unsigned i = 1; i <= new_fromto->dim (); i ++) + r[i] = new_fromto->project (map (new_fromto->generator_rep (i))); + return r; +} + +template mod_map +mod_map::restrict_from (ptr > new_from) const +{ + assert (new_from->parent_module () == from); + + mod_map r (new_from, to); + for (unsigned i = 1; i <= new_from->dim (); i ++) + r[i] = map (new_from->inject_generator (i)); + return r; +} + +template mod_map +mod_map::restrict_to (ptr > new_to) const +{ + assert (new_to->parent_module () == to); + + mod_map r (from, new_to); + for (unsigned i = 1; i <= from->dim (); i ++) + r[i] = new_to->restrict (columns[i]); + return r; +} + +template mod_map +mod_map::restrict (ptr > new_from, + ptr > new_to) const +{ + assert (new_from->parent_module () == from); + assert (new_to->parent_module () == to); + + mod_map r (new_from, new_to); + for (unsigned i = 1; i <= new_from->dim (); i ++) + r[i] = new_to->restrict (map (new_from->inject_generator (i))); + return r; +} + +template typename R::linear_combination +free_submodule::restrict (linear_combination v0) const +{ + assert (v0.m == parent); + + linear_combination v (COPY, v0); + + linear_combination r (this); + for (unsigned i = 1; i <= gens.size (); i ++) + { + unsigned j = pivots[i]; + R vc = v(j); + if (vc != 0) + { + const linear_combination &g = gens[i]; + R gc = g(j); + + assert (gc | vc); + R q = vc.div (gc); + + v.mulsub (q, g); + r.muladd (q, i); + } + } + assert (v == 0); + assert (inject (r) == v0); + + return r; +} + +template ptr > +free_submodule::restrict_submodule (ptr > m) const +{ + assert (m->parent == parent); + + basedvector span (m->dim ()); + for (unsigned i = 1; i <= m->dim (); i ++) + span[i] = restrict (m->inject_generator (i)); + + mod_span span2 (this, span); + return submodule (span2); +} + +template +mod_map::mod_map (ptr fromto) + : from(fromto), + to(fromto), + columns(fromto->dim ()) +{ + for (unsigned i = 1; i <= from->dim (); i ++) + columns[i] = linear_combination (to); +} + +template +mod_map::mod_map (ptr fromto, int i) + : from(fromto), + to(fromto), + columns(fromto->dim ()) +{ + assert (i == 0 || i == 1); + + for (unsigned j = 1; j <= from->dim (); j ++) + columns[j] = linear_combination (to); + if (i == 1) + { + for (unsigned i = 1; i <= fromto->dim (); i ++) + columns[i] += i; + } +} + +template +mod_map::mod_map (ptr from_, ptr to_) + : from(from_), + to(to_), + columns(from_->dim ()) +{ + for (unsigned i = 1; i <= from->dim (); i ++) + columns[i] = linear_combination (to); +} + +template typename R::linear_combination +mod_map::map (const linear_combination &lc) const +{ + assert (lc.m == from); + + linear_combination r (to); + for (linear_combination_const_iter i = lc; i; i ++) + r.muladd (i.val (), columns[i.key ()]); + return r; +} + +template bool +mod_map::homogeneous () const +{ + for (unsigned i = 1; i <= from->dim (); i ++) + { + if (columns[i] != 0) + { + grading dhq = columns[i].hq () - from->generator_grading (i); + for (unsigned j = i + 1; j <= from->dim (); j ++) + { + if (columns[j] != 0 + && dhq != columns[j].hq () - from->generator_grading (j)) + return 0; + } + return 1; + } + } + return 1; +} + +template void +mod_map::check_grading (grading delta) const +{ + for (unsigned i = 1; i <= from->dim (); i ++) + { + if (columns[i] != 0) + assert (columns[i].hq () - from->generator_grading (i) == delta); + } +} + +template mod_map +mod_map::compose (const mod_map &m2) const +{ + assert (m2.to == from); + + basedvector r (m2.from->dim ()); + for (unsigned i = 1; i <= m2.from->dim (); i ++) + r[i] = map (m2[i]); + return mod_map (m2.from, to, r); +} + +template mod_map & +mod_map::operator += (const mod_map &m2) +{ + assert (from == m2.from && to == m2.to); + + for (unsigned i = 1; i <= from->dim (); i ++) + columns[i] += m2.columns[i]; + return *this; +} + +template mod_map +mod_map::operator + (const mod_map &m2) const +{ + assert (from == m2.from && to == m2.to); + + basedvector r (from->dim ()); + for (unsigned i = 1; i <= m2.from->dim (); i ++) + r[i] = columns[i] + m2.columns[i]; + return mod_map (from, to, r); +} + +template mod_map & +mod_map::operator *= (R c) +{ + for (unsigned i = 1; i <= from->dim (); i ++) + columns[i] *= c; + return *this; +} + +template ptr > +mod_map::kernel () const +{ + basedvector from_xs (from->dim ()); + for (unsigned i = 1; i <= to->dim (); i ++) + { + linear_combination x (from); + x.muladd (1, i); + from_xs[i] = x; + } + + basedvector to_xs (COPY2, columns); + + for (unsigned i = 1; i <= to->dim (); i ++) + { + linear_combination from_v (from), + to_v (to); + + for (unsigned j = 1; j <= to_xs.size (); j ++) + { + R to_vc = to_v(i); + if (to_vc.is_unit ()) + break; + + linear_combination &to_x = to_xs[j], + &from_x = from_xs[j]; + R to_xc = to_x(i); + if (! (to_vc | to_xc)) + { + triple t = to_vc.extended_gcd (to_xc); + assert (t.first == to_vc*t.second + t.third*to_xc); + + to_v = t.second*to_v + t.third*to_x; + from_v = t.second*from_v + t.third*from_x; + + assert (to_v(i) != 0); + } + } + + R to_vc = to_v(i); + if (to_vc != 0) + { + for (unsigned j = 1; j <= to_xs.size (); j ++) + { + linear_combination &to_x = to_xs[j], + &from_x = from_xs[j]; + R to_xc = to_x(i); + if (to_xc != 0) + { + assert (to_vc | to_xc); + + R q = to_xc.div (to_vc); + to_x.mulsub (q, to_v); + from_x.mulsub (q, from_v); + } + + assert (to_x(i) == 0); + } + } + } + + mod_span span (from, from_xs); + return from->submodule (span); +} + +template ptr > +mod_map::image () const +{ + mod_span span (to, columns); + return to->submodule (span); +} + +template ptr > +mod_map::cokernel () const +{ + mod_span span (to, columns); + return to->quotient (span); +} + +template ptr > +mod_map::homology () const +{ + ptr > ker = kernel (), + im = image (); + + // display ("ker:", *ker); + // display ("im:", *im); + + ptr > im2 = ker->restrict_submodule (im); + + // display ("im2:", *im2); + + return ker->quotient (im2); +} + +template +mod_span::mod_span (ptr > mod, + basedvector xs0) +{ + assert (mod->free_rank () == mod->dim ()); + + basedvector xs (COPY2, xs0); + + for (unsigned i = 1; i <= mod->dim (); i ++) + { + linear_combination v (mod); + + for (unsigned j = 1; j <= xs.size (); j ++) + { + R vc = v(i); + if (vc.is_unit ()) + break; + + linear_combination &x = xs[j]; + R xc = x(i); + + if (! (vc | xc)) + { + triple t = vc.extended_gcd (xc); + assert (t.first == vc*t.second + t.third*xc); + + v = t.second*v + t.third*x; + + assert (v(i) != 0); + } + } + + R vc = v(i); + if (vc != 0) + { + for (unsigned j = 1; j <= xs.size (); j ++) + { + linear_combination &x = xs[j]; + R xc = x(i); + if (xc != 0) + { + assert (vc | xc); + + R q = xc.div (vc); + x.mulsub (q, v); + } + + assert (x(i) == 0); + } + + pivots.append (i); + gens.append (v); + } + } +} + +template void +mod_map::show_self () const +{ + printf ("mod_map "); + show (*from); + printf (" -> "); + show (*to); +} + +template void +mod_map::display_self () const +{ + show_self (); newline (); + for (unsigned i = 1; i <= from->dim (); i ++) + { + printf (" %d: ", i); + show (columns[i]); + newline (); + } +} diff --git a/algebra/multivariate_polynomial.h b/algebra/multivariate_polynomial.h new file mode 100644 index 0000000..73038fa --- /dev/null +++ b/algebra/multivariate_polynomial.h @@ -0,0 +1,495 @@ + +/* multivariate polynomial in a (vector) variable x with coefficients + in T. */ + +enum variable { VARIABLE }; + +template +class multivariate_monomial +{ + private: + unsigned v[n]; + + public: + multivariate_monomial () + { + for (unsigned i = 0; i < n; i ++) + v[i] = 0; + } + + multivariate_monomial (variable, unsigned j) + { + for (unsigned i = 0; i < n; i ++) + v[i] = 0; + + assert (j >= 1 && j <= n); + v[j - 1] = 1; + } + + multivariate_monomial (const multivariate_monomial &e) + { + for (unsigned i = 0; i < n; i ++) + v[i] = e.v[i]; + } + + ~multivariate_monomial () { } + + multivariate_monomial &operator = (const multivariate_monomial &e) + { + for (unsigned i = 0; i < n; i ++) + v[i] = e.v[i]; + return *this; + } + + unsigned degree () const + { + unsigned d = 0; + for (unsigned i = 0; i < n; i ++) + d += v[i]; + return d; + } + + bool operator == (const multivariate_monomial &e) const + { + for (unsigned i = 0; i < n; i ++) + { + if (v[i] != e.v[i]) + return 0; + } + return 1; + } + + bool operator < (const multivariate_monomial &e) const + { + for (unsigned i = 0; i < n; i ++) + { + if (v[i] < e.v[i]) + return 1; + if (v[i] > e.v[i]) + return 0; + } + return 0; + } + + multivariate_monomial operator + (const multivariate_monomial &e) const + { + multivariate_monomial m; + + for (unsigned i = 0; i < n; i ++) + m.v[i] = v[i] + e.v[i]; + + return m; + } + + bool divides (const multivariate_monomial &num) const + { + for (unsigned i = 0; i < n; i ++) + { + if (v[i] > num.v[i]) + return 0; + } + return 1; + } + + bool operator | (const multivariate_monomial &num) const { return divides (num); } + + multivariate_monomial &mineq (const multivariate_monomial &e) + { + for (unsigned i = 0; i < n; i ++) + { + if (e.v[i] < v[i]) + v[i] = e.v[i]; + } + + return *this; + } + + multivariate_monomial operator - (const multivariate_monomial &denom) const + { + multivariate_monomial m; + + for (unsigned i = 0; i < n; i ++) + { + assert (v[i] >= denom.v[i]); + m.v[i] = v[i] - denom.v[i]; + } + + return m; + } + + void show_self () const + { + printf ("x^("); + for (unsigned i = 0; i < n; i ++) + { + if (i > 0) + printf (","); + printf ("%d", v[i]); + } + printf (")"); + } +}; + +template +class multivariate_polynomial +{ + public: + typedef linear_combination > linear_combination; + typedef linear_combination_const_iter > + linear_combination_const_iter; + +private: + typedef multivariate_monomial monomial; + + map coeffs; + + explicit multivariate_polynomial (const map &coeffs_) : coeffs(coeffs_) { } + +public: + multivariate_polynomial () { } + multivariate_polynomial (int x) + { + T c (x); + if (c != 0) + coeffs.push (monomial (), c); + } + + multivariate_polynomial (T c) + { + if (c != 0) + coeffs.push (monomial (), c); + } + + multivariate_polynomial (T c, variable, unsigned i) + { + if (c != 0) + coeffs.push (monomial (VARIABLE, i), c); + } + + multivariate_polynomial (T c, const monomial &m) + { + if (c != 0) + coeffs.push (m, c); + } + + multivariate_polynomial (const multivariate_polynomial &p) : coeffs(p.coeffs) { } + multivariate_polynomial (copy, const multivariate_polynomial &p) : coeffs(COPY, p.coeffs) { } + ~multivariate_polynomial () { } + + multivariate_polynomial &operator = (const multivariate_polynomial &p) + { + coeffs = p.coeffs; + return *this; + } + + multivariate_polynomial &operator = (int x) + { + coeffs = map (); + T c (x); + if (c != 0) + coeffs.push (monomial (), c); + return *this; + } + + multivariate_polynomial &operator = (T c) + { + coeffs = map (); + if (c != 0) + coeffs.push (monomial (), c); + return *this; + } + + bool is_unit () const; + + bool operator == (multivariate_polynomial p) const + { +#ifndef NDEBUG + check (); + p.check (); +#endif + return coeffs == p.coeffs; + } + + bool operator == (int x) const + { +#ifndef NDEBUG + check (); +#endif + T c (x); + if (c == 0) + return coeffs.is_empty (); + else + { + if (coeffs.card () != 1) + return 0; + + pair p = coeffs.head (); + return p.first.degree () == 0 + && p.second == c; + } + } + + bool operator != (int x) const { return !operator == (x); } + + multivariate_polynomial &operator += (multivariate_polynomial p); + multivariate_polynomial &operator -= (multivariate_polynomial p); + multivariate_polynomial &operator *= (multivariate_polynomial p) { return operator = (*this * p); } + multivariate_polynomial &operator *= (T s); + + multivariate_polynomial &add_term (T c, variable, unsigned i) + { + monomial m (VARIABLE, i); + T &c2 = coeffs[m]; + c2 += c; + if (c2 == 0) + coeffs -= m; + return *this; + } + + multivariate_polynomial operator - () const { return multivariate_polynomial () - *this; } + multivariate_polynomial operator + (multivariate_polynomial p) const + { + multivariate_polynomial r (COPY, *this); + r += p; + return r; + } + + multivariate_polynomial operator - (multivariate_polynomial p) const + { + multivariate_polynomial r (COPY, *this); + r -= p; + return r; + } + + multivariate_polynomial operator * (const multivariate_polynomial &p) const; + + monomial common_monomial () const; + + pair + uncommon_factors (multivariate_polynomial b, basedvector ds); + maybe + divides_exactly (const multivariate_polynomial &n) const; + multivariate_polynomial divide_exact (const multivariate_polynomial &d) const; + + bool operator | (const multivariate_polynomial &num) const { abort (); } + +#ifndef NDEBUG + void check () const; +#endif + + static void show_ring () + { + T::show_ring (); + switch (n) + { + case 0: break; + case 1: printf ("[x_1]"); break; + case 2: printf ("[x_1, x_2]"); break; + default: + printf ("[x_1, ..., x_%d]", n); + break; + } + } + + void display_self () const { show_self (); newline (); } + void show_self () const; +}; + +template bool +multivariate_polynomial::is_unit () const +{ + // ??? is_singleton + if (coeffs.card () != 1) + return 0; + + pair p = coeffs.head (); + return p.first.degree () == 0 + && p.second.is_unit (); +} + +template multivariate_polynomial & + multivariate_polynomial::operator += (multivariate_polynomial p) +{ + for (typename map::const_iter i = p.coeffs; i; i ++) + { + monomial m = i.key (); + T &c = coeffs[m]; + c += i.val (); + if (c == 0) + coeffs -= m; + } + return *this; +} + +template multivariate_polynomial & +multivariate_polynomial::operator -= (multivariate_polynomial p) +{ + for (typename map::const_iter i = p.coeffs; i; i ++) + { + monomial m = i.key (); + T &c = coeffs[m]; + c -= i.val (); + if (c == 0) + coeffs -= m; + } + return *this; +} + +template multivariate_polynomial & +multivariate_polynomial::operator *= (T s) +{ + if (s == 0) + coeffs.clear (); + else + { + for (typename map::iter i = coeffs; i; i ++) + i.val () *= s; + } +} + +template multivariate_polynomial +multivariate_polynomial::operator * (const multivariate_polynomial &p) const +{ + multivariate_polynomial r; + + for (typename map::const_iter i = coeffs; i; i ++) + for (typename map::const_iter j = p.coeffs; j; j ++) + { + monomial m = i.key () + j.key (); + T &c = r.coeffs[m]; + c += i.val () * j.val (); + if (c == 0) + r.coeffs -= m; + } + return r; +} + +template multivariate_monomial +multivariate_polynomial::common_monomial () const +{ + monomial m = coeffs.head ().first; + for (typename map::const_iter i = coeffs; i; i ++) + m.mineq (i.key ()); + return m; +} + +template pair, + multivariate_polynomial > +multivariate_polynomial::uncommon_factors (multivariate_polynomial b, + basedvector ds) +{ + multivariate_polynomial a = *this; + + monomial m = a.common_monomial (); + m.mineq (b.common_monomial ()); + + multivariate_polynomial mp (1, m); + a = a.divide_exact (mp); + b = b.divide_exact (mp); + + L: + for (unsigned i = 1; i <= ds.size (); i ++) + { + const multivariate_polynomial &d = ds[i]; + + maybe aq = d.divides_exactly (a); + if (aq.is_some ()) + { + maybe bq = d.divides_exactly (b); + if (bq.is_some ()) + { + a = aq.some (); + b = bq.some (); + + goto L; + } + } + } + + return pair (a, b); +} + +template maybe > +multivariate_polynomial::divides_exactly (const multivariate_polynomial &num) const +{ + const multivariate_polynomial &d = *this; + + multivariate_polynomial r (COPY, num); + multivariate_polynomial q; + + pair d_leading_term = d.coeffs.tail (); + for (;;) + { + if (r == 0) + { + // ?? + assert (q*d == num); + + return maybe (q); + } + + pair r_leading_term = r.coeffs.tail (); + if (d_leading_term.first | r_leading_term.first) + { + multivariate_polynomial m (r_leading_term.second / d_leading_term.second, + r_leading_term.first - d_leading_term.first); + r -= m * d; + q += m; + } + else + return maybe (); + } +} + +template multivariate_polynomial +multivariate_polynomial::divide_exact (const multivariate_polynomial &d) const +{ + maybe r = d.divides_exactly (*this); + return r.some (); +} + +#ifndef NDEBUG +template void +multivariate_polynomial::check () const +{ + for (typename map::const_iter i = coeffs; i; i ++) + assert (i.val () != 0); +} +#endif + +template void +multivariate_polynomial::show_self () const +{ + unsigned first = 1; + for (typename map::const_iter i = coeffs; i; i ++) + { + monomial m = i.key (); + T c = i.val (); + + assert (c != 0); + + if (first) + first = 0; + else + printf (" + "); + + if (m.degree () == 0) + { + if (c == 1) + printf ("1"); + else + show (c); + } + else + { + if (c != 1) + { + show (c); + printf ("*"); + } + show (m); + } + } + if (first) + printf ("0"); +} diff --git a/algebra/polynomial.cpp b/algebra/polynomial.cpp new file mode 100644 index 0000000..125f31c --- /dev/null +++ b/algebra/polynomial.cpp @@ -0,0 +1,125 @@ + +#include + +polynomial +polynomial::operator * (polynomial p) const +{ + set r_coeffs; + + for (set_const_iter i = coeffs; i; i ++) + for (set_const_iter j = p.coeffs; j; j ++) + r_coeffs.toggle (i.val () + j.val ()); + + return polynomial (r_coeffs); +} + +pair, polynomial > +polynomial::divide_with_remainder (polynomial d) const +{ + assert (d != 0); + + polynomial r (COPY, *this); + polynomial q; + + unsigned d_leading_exponent = d.coeffs.tail (); + for (;;) + { + if (r == 0) + break; + + unsigned r_leading_exponent = r.coeffs.tail (); + if (r_leading_exponent < d_leading_exponent) + break; + + for (set_const_iter i = d.coeffs; i; i ++) + r.coeffs.toggle (r_leading_exponent - d_leading_exponent + i.val ()); + q.coeffs.toggle (r_leading_exponent - d_leading_exponent); + } + + assert (r == 0 || r.degree () < d.degree ()); + // assert (*this == q*d + r); + + return pair, polynomial > (q, r); +} + +polynomial +polynomial::mod (polynomial d) const +{ + assert (d != 0); + + polynomial r (COPY, *this); + + unsigned d_leading_exponent = d.coeffs.tail (); + for (;;) + { + if (r == 0) + break; + + unsigned r_leading_exponent = r.coeffs.tail (); + if (r_leading_exponent < d_leading_exponent) + break; + + for (set_const_iter i = d.coeffs; i; i ++) + r.coeffs.toggle (r_leading_exponent - d_leading_exponent + i.val ()); + } + + assert (r == 0 || r.degree () < d.degree ()); + + return r; +} + +bool +polynomial::divides (polynomial d) const +{ + return mod (d) == 0; +} + +polynomial +polynomial::divide_exact (polynomial d) const +{ + pair, polynomial > qr = divide_with_remainder (d); + assert (qr.second == 0); + return qr.first; +} + +polynomial +polynomial::gcd (polynomial b) const +{ + // ??? can return *this + polynomial a = *this; + + while (b != 0) + { + pair, polynomial > a_qr = a.divide_with_remainder (b); + a = b; + b = a_qr.second; + } + return a; +} + +void +polynomial::show_self () const +{ + unsigned first = 1; + for (set_const_iter i = coeffs; i; i ++) + { + unsigned e = i.val (); + + if (first) + first = 0; + else + printf (" + "); + + if (e == 0) + printf ("1"); + else + { + if (e == 1) + printf ("x"); + else + printf ("x^%d", e); + } + } + if (first) + printf ("0"); +} diff --git a/algebra/polynomial.h b/algebra/polynomial.h new file mode 100644 index 0000000..4aa83c5 --- /dev/null +++ b/algebra/polynomial.h @@ -0,0 +1,446 @@ + +/* univariate polynomial in a single variable `x' with coefficients in + T. */ + +template +class polynomial +{ +private: + map coeffs; + + polynomial (const map &coeffs_) : coeffs(coeffs_) { } + +public: + polynomial () { } + + polynomial (int x) + { + T c (x); + if (c != 0) + coeffs.push (0, c); + } + + polynomial (T c) + { + if (c != 0) + coeffs.push (0, c); + } + + polynomial (int x, unsigned e) + { + T c (x); + if (c != 0) + coeffs.push (e, c); + } + + polynomial (T c, unsigned e) + { + if (c != 0) + coeffs.push (e, c); + } + + polynomial (const polynomial &p) : coeffs(p.coeffs) { } + polynomial (copy, const polynomial &p) : coeffs(COPY, p.coeffs) { } + ~polynomial () { } + + polynomial &operator = (const polynomial &p) { coeffs = p.coeffs; return *this; } + polynomial &operator = (int x) + { + coeffs = map (); + T c (x); + if (c != 0) + coeffs.push (0, c); + return *this; + } + + polynomial &operator = (T c) + { + coeffs = map (); + if (c != 0) + coeffs.push (0, c); + return *this; + } + + unsigned degree () const; + bool is_unit () const; + + bool operator == (polynomial p) const + { +#ifndef NDEBUG + check (); + p.check (); +#endif + return coeffs == p.coeffs; + } + + bool operator == (int x) const + { + T c (x); + if (c == 0) + return coeffs.is_empty (); + else if (coeffs.card () != 1) + return 0; + else + { + pair p = coeffs.head (); + return p.first == 0 + && p.second == c; + } + } + + bool operator != (int x) const { return !operator == (x); } + + polynomial &operator += (polynomial p); + polynomial &operator -= (polynomial p); + polynomial &operator *= (polynomial p) { return operator = (*this * p); } + polynomial &operator *= (T s); + + polynomial &add_term (T c, unsigned e) + { + T &c2 = coeffs[e]; + c2 += c; + if (c2 == 0) + coeffs -= e; + return *this; + } + + polynomial operator - () const { return polynomial () - *this; } + polynomial operator + (polynomial p) const + { + polynomial r (COPY, *this); + r += p; + return r; + } + + polynomial operator - (polynomial p) const + { + polynomial r (COPY, *this); + r -= p; + return r; + } + + polynomial operator * (polynomial p) const; + + pair divide_with_remainder (polynomial d) const; + + polynomial mod (polynomial d) const; + bool divides (polynomial d) const; + polynomial divide_exact (polynomial d) const; + + polynomial gcd (polynomial b) const; + +#ifndef NDEBUG + void check () const; +#endif + + static void show_ring () { T::show_ring (); printf ("[x]"); } + void display_self () const { show_self (); newline (); } + void show_self () const; +}; + +template unsigned +polynomial::degree () const +{ + return coeffs.tail ().first; +} + +template bool +polynomial::is_unit () const +{ + // ??? is_singleton + if (coeffs.card () != 1) + return 0; + + pair p = coeffs.head (); + return p.first == 0 + && p.second.is_unit (); +} + +template polynomial & +polynomial::operator += (polynomial p) +{ + for (typename map::const_iter i = p.coeffs; i; i ++) + { + unsigned e = i.key (); + T &c = coeffs[e]; + c += i.val (); + if (c == 0) + coeffs -= e; + } + return *this; +} + +template polynomial & +polynomial::operator -= (polynomial p) +{ + for (typename map::const_iter i = p.coeffs; i; i ++) + { + unsigned e = i.key (); + T &c = coeffs[e]; + c -= i.val (); + if (c == 0) + coeffs -= e; + } + return *this; +} + +template polynomial & +polynomial::operator *= (T s) +{ + if (s == 0) + coeffs.clear (); + else + { + for (typename map::iter i = coeffs; i; i ++) + i.val () *= s; + } +} + +template polynomial +polynomial::operator * (polynomial p) const +{ + polynomial r; + + for (typename map::const_iter i = coeffs; i; i ++) + for (typename map::const_iter j = p.coeffs; j; j ++) + { + unsigned e = i.key () + j.key (); + T &c = r.coeffs[e]; + c += i.val () * j.val (); + if (c == 0) + r.coeffs -= e; + } + return r; +} + +template pair, polynomial > +polynomial::divide_with_remainder (polynomial d) const +{ + assert (d != 0); + + polynomial r (COPY, *this); + polynomial q; + + pair d_leading_term = d.coeffs.tail (); + for (;;) + { + if (r == 0) + break; + + pair r_leading_term = r.coeffs.tail (); + if (r_leading_term.first < d_leading_term.first) + break; + + polynomial m (r_leading_term.second / d_leading_term.second, + r_leading_term.first - d_leading_term.first); + r -= m * d; + q += m; + } + + assert (r == 0 || r.degree () < d.degree ()); + // assert (*this == q*d + r); + + return pair (q, r); +} + +template polynomial +polynomial::mod (polynomial d) const +{ + pair, polynomial > qr = divide_with_remainder (d); + return qr.second; +} + +template bool +polynomial::divides (polynomial d) const +{ + pair, polynomial > qr = divide_with_remainder (d); + return qr.second == 0; +} + +template polynomial +polynomial::divide_exact (polynomial d) const +{ + pair, polynomial > qr = divide_with_remainder (d); + assert (qr.second == 0); + return qr.first; +} + +template polynomial +polynomial::gcd (polynomial b) const +{ + polynomial a = *this; + + while (b != 0) + { + pair, polynomial > a_qr = a.divide_with_remainder (b); + a = b; + b = a_qr.second; + } + return a; +} + +#ifndef NDEBUG +template void +polynomial::check () const +{ + for (typename map::const_iter i = coeffs; i; i ++) + assert (i.val () != 0); +} +#endif + +template void +polynomial::show_self () const +{ + unsigned first = 1; + for (typename map::const_iter i = coeffs; i; i ++) + { + unsigned e = i.key (); + T c = i.val (); + + assert (c != 0); + + if (first) + first = 0; + else + printf (" + "); + + if (e == 0 && c == 1) + printf ("1"); + else if (e == 0) + show (c); + else if (c == 1) + { + if (e == 1) + printf ("x"); + else + printf ("x^%d", e); + } + else + { + show (c); + if (e == 1) + printf ("*x"); + else + printf ("*x^%d", e); + } + } + if (first) + printf ("0"); +} + +template<> +class polynomial +{ + private: + set coeffs; + + explicit polynomial (const set &coeffs_) : coeffs(coeffs_) { } + + public: + polynomial () { } + explicit polynomial (int x) + { + Z2 c (x); + if (c != 0) + coeffs.push (0); + } + + explicit polynomial (Z2 c) + { + if (c != 0) + coeffs.push (0); + } + + polynomial (Z2 c, unsigned e) + { + if (c != 0) + coeffs.push (e); + } + + polynomial (const polynomial &p) : coeffs(p.coeffs) { } + polynomial (copy, const polynomial &p) : coeffs(COPY, p.coeffs) { } + ~polynomial () { } + + polynomial &operator = (const polynomial &p) { coeffs = p.coeffs; return *this; } + + polynomial &operator = (int x) + { + coeffs = set (); + Z2 c (x); + if (c != 0) + coeffs.push (0); + return *this; + } + + polynomial &operator = (Z2 c) + { + coeffs = set (); + if (c == 1) + coeffs.push (0); + return *this; + } + + bool operator == (polynomial p) const { return coeffs == p.coeffs; } + + bool operator == (int x) const + { + Z2 c (x); + if (c == 0) + return coeffs.is_empty (); + else + return coeffs.card () == 1 + && coeffs.head () == 0; + } + + bool operator != (int x) const { return !operator == (x); } + + unsigned degree () const { return coeffs.tail (); } + + polynomial &operator += (polynomial p) { coeffs ^= p.coeffs; return *this; } + polynomial &operator -= (polynomial p) { coeffs ^= p.coeffs; return *this; } + polynomial &operator *= (polynomial p) { return operator = (*this * p); } + polynomial &operator *= (Z2 s) + { + if (s == 0) + coeffs.clear (); + return *this; + } + + polynomial &add_term (Z2 c, unsigned e) + { + if (c == 1) + coeffs.toggle (e); + return *this; + } + + polynomial operator - () const { return polynomial (COPY, *this); }; + polynomial operator + (polynomial p) const + { + polynomial r (COPY, *this); + r += p; + return r; + } + + polynomial operator - (polynomial p) const + { + polynomial r (COPY, *this); + r -= p; + return r; + } + + polynomial operator * (polynomial p) const; + + pair divide_with_remainder (polynomial d) const; + + polynomial mod (polynomial d) const; + + bool divides (polynomial d) const; + polynomial divide_exact (polynomial d) const; + + polynomial gcd (polynomial b) const; + + static void show_ring () { printf ("Z2[x]"); } + void display_self () const { show_self (); newline (); } + void show_self () const; +}; + diff --git a/alternating b/alternating new file mode 100644 index 0000000000000000000000000000000000000000..1ef77a6646e32f0904de9d12ec86a014e5f6d3e8 GIT binary patch literal 3930616 zcmXuM>rc~J*T;SR2~V^*_LMy49_53Ac4d<=2;vpSg~3a7t;N5V|M+e8_OO@5}{q==h&3z}FssqsX4H z@{vjR$fO%qy^}-MiL=lLe`mUrL*6qgd#6RdZJBz=@Y^1hhfVy5wc|R&N8D3ql^XBU z@KYn9K8Az+v~$Yu=`>V1>=C*ykDj=W_=aKci?ihDKP@7U{_|f-@4v~$kw@xsguWL?$%_bQJnQeB(AsiaIU(|8Yhsx4W!sd{J=$`a zGU|6u8M&lPDrYo)=ynwKt%OG=R8A@%8GnY2y{E>X zr^cU`Y9H;BWQRIA6l(cFIWbG#wnUngNu}*fx5&01RrYAQ+o6Pphh{ZAuJOaiBVu>h z*c}e3-4RRV2JN7|Sx;c1OF7#pv`wjOn-+QWc#FuR$InT+(c`niN#oz7Mg8*`yXY@s z*Jt}t()-=&S6GSubCrI9iB7|QQtUn{XnSW65}HyDo1?Eq|$ZCA3ue7*QG#6=>ARmi_7Ex zmhDfny}>s|ek1b8H*t|ckw<@fdyINM6AnuF%x|LCFcgk|jrfMU;eXYW9{()!Yw!f7 zg(KE)yC{!*W4kGQ5f^#%_#5SKD*LSGMBn!!E_wma3yBZ>6cYL6KWD#U`kCWuf9AJY 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z|8FCn)4~#APE-Do%g{MZCFI=zo;y7zEFrJ)eQSgRON4x{nmR1{&PopJ{ZsshH6wrL zDTD3G-K|3NR<)bAs@+^hdkpUr92J_kk!utCs&!>;C@qGl?L9v7M|3ur@r%$w9eTwJLZ5vK@e2V`YX5=3^ zWw2dXV(5}1)Cue>D^=$iI&W6=T|S3>^i%xzFr$RL7F^0dc}`d&9L4+E)Oc?VeDS@y zld8r3*;#iH+kwIE&(1CvalhcR4tE^yt+#?}N^cy`?X-Q?L2f(#S%(k%ox8|Y)mTTZ zvp^3|t9^Ju?OfkmZhY3kefX0g*Y}pT&n~zT&-PYuO?c70ihYRFpIvn4V1M!QXBU_A zC$SCyk)IRfxYg8Ru(jv2tL|02M|$qFA+6WXo-@9!rwq0$%UVIiPcCnss=du98`JTl + +class rd_unify +{ +public: + ullmanmap cpt_map, + starting_circle_map, + ending_circle_map; + + bool unify_starting_circle (const resolution_diagram &rd1, const resolution_diagram &rd2, + unsigned x1, unsigned x2); + bool unify_ending_circle (const resolution_diagram &rd1, const resolution_diagram &rd2, + unsigned y1, unsigned y2); + bool unify_crossing (const resolution_diagram &rd1, const resolution_diagram &rd2, + unsigned c1, unsigned c2); + bool unify_cpt (const resolution_diagram &rd1, const resolution_diagram &rd2, + unsigned c1, unsigned c2); + +public: + rd_unify (); + rd_unify (const rd_unify &); // doesn't exist + ~rd_unify () { } + + rd_unify &operator = (const rd_unify &); // doesn't exist + + bool unify (const resolution_diagram &rd1, const resolution_diagram &rd2); + unsigned map_starting_monomial (unsigned m); + unsigned map_ending_monomial (unsigned m); +}; + +bool +rd_unify::unify_starting_circle (const resolution_diagram &rd1, const resolution_diagram &rd2, + unsigned x1, unsigned x2) +{ + pair p = starting_circle_map.find (x1); + if (p.second) + return p.first == x2; + + p.first = x2; + return 1; +} + +bool +rd_unify::unify_ending_circle (const resolution_diagram &rd1, const resolution_diagram &rd2, + unsigned y1, unsigned y2) +{ + pair p = ending_circle_map.find (y1); + if (p.second) + return p.first == y2; + + p.first = y2; + return 1; +} + +bool +rd_unify::unify_crossing (const resolution_diagram &rd1, const resolution_diagram &rd2, + unsigned c1, unsigned c2) +{ + return (rd1.resolved(c1) == rd2.resolved(c2) + && rd1.to_resolve(c1) == rd2.to_resolve(c2) + && unify_cpt (rd1, rd2, + rd1.crossing_from_cpt (c1), rd2.crossing_from_cpt (c2)) + && unify_cpt (rd1, rd2, + rd1.crossing_to_cpt (c1), rd2.crossing_to_cpt (c2))); +} + +bool +rd_unify::unify_cpt (const resolution_diagram &rd1, const resolution_diagram &rd2, + unsigned c1, unsigned c2) +{ + pair p = cpt_map.find (c1); + if (p.second) + return p.first == c2; + + p.first = c2; + return (rd1.is_from_cpt (c1) == rd2.is_from_cpt (c2) + && rd1.cpt_inside(c1) == rd2.cpt_inside(c2) + && (rd1.marked_edge == c1) == (rd2.marked_edge == c2) + && (rd1.marked_edge2 == c1) == (rd2.marked_edge2 == c2) + && unify_crossing (rd1, rd2, + rd1.cpt_crossing (c1), rd2.cpt_crossing (c2)) + && unify_starting_circle (rd1, rd2, + rd1.cpt_starting_circle[c1], rd2.cpt_starting_circle[c2]) + && unify_ending_circle (rd1, rd2, + rd1.cpt_ending_circle[c1], rd2.cpt_ending_circle[c2]) + && unify_cpt (rd1, rd2, + rd1.next[c1], rd2.next[c2]) + && unify_cpt (rd1, rd2, + rd1.prev[c1], rd2.prev[c2])); +} + +rd_unify::rd_unify () + : cpt_map(max_cpts), + starting_circle_map(max_circles), + ending_circle_map(max_circles) +{ +} + +bool +rd_unify::unify (const resolution_diagram &rd1, + const resolution_diagram &rd2) +{ + if (rd1.n_crossings != rd2.n_crossings + || rd1.n_starting_circles != rd2.n_starting_circles + || rd1.n_ending_circles != rd2.n_ending_circles + || (rd1.marked_edge == 0) != (rd2.marked_edge == 0) + || (rd1.marked_edge2 == 0) != (rd2.marked_edge2 == 0)) + return 0; + +#if 0 + cpt_map.clear (); + starting_circle_map.clear (); + ending_circle_map.clear (); + for (unsigned i = 1; i <= rd1.n_crossings; i ++) + { + if (!unify_crossing (rd1, rd2, i, i)) + return 0; + } + assert (cpt_map.card () == rd1.num_cpts ()); + assert (starting_circle_map.card () == rd1.n_starting_circles); + assert (ending_circle_map.card () == rd1.n_ending_circles); +#endif + + for (unsigned i = 1; i <= rd1.n_crossings; i ++) + { + cpt_map.clear (); + starting_circle_map.clear (); + ending_circle_map.clear (); + if (unify_crossing (rd1, rd2, i, 1)) + { + assert (cpt_map.card () == rd1.num_cpts ()); + assert (starting_circle_map.card () == rd1.n_starting_circles); + assert (ending_circle_map.card () == rd1.n_ending_circles); + return 1; + } + } + + return 0; +} + +unsigned +rd_unify::map_starting_monomial (unsigned m1) +{ + unsigned m2 = 0; + for (unsigned_const_iter i = m1; i; i ++) + { + m2 = unsigned_bitset (m2, + starting_circle_map(i.val ())); + } + return m2; +} + +unsigned +rd_unify::map_ending_monomial (unsigned m1) +{ + unsigned m2 = 0; + for (unsigned_const_iter i = m1; i; i ++) + { + m2 = unsigned_bitset (m2, + ending_circle_map(i.val ())); + } + return m2; +} + +rd_unify the_rd_unifier; + +bool +resolution_diagram::crossing_orientation (unsigned common, unsigned i) const +{ + if (crossing_is_split (i)) + { + if (crossing_from_outside (i)) + return next[crossing_from_cpt (i)] == crossing_to_cpt (i); + else + return next[crossing_to_cpt (i)] == crossing_from_cpt (i); + } + else + return crossing_to (i) == common; +} + +bool +resolution_diagram::marked_edge_left (unsigned pt) const +{ + assert (marked_edge); + + if (cpt_inside % pt) + return marked_edge == pt; + else + return marked_edge == prev[pt]; +} + +resolution_diagram::resolution_diagram () + : n_crossings(0), + n_starting_circles(0), + n_ending_circles(0), + marked_edge(0), + marked_edge2(0) +{ +} + +void +resolution_diagram::compute_prev () +{ + for (unsigned i = 1; i <= num_cpts (); i ++) + prev[next[i]] = i; +} + +void +resolution_diagram::check () +{ + for (unsigned i = 1; i <= num_cpts (); i ++) + { + assert (prev[next[i]] == i); + assert (next[prev[i]] == i); + assert (cpt_starting_circle[i] == cpt_starting_circle[next[i]]); + assert (1 <= cpt_starting_circle[i] + && cpt_starting_circle[i] <= n_starting_circles); + assert (1 <= cpt_ending_circle[i] + && cpt_ending_circle[i] <= n_ending_circles); + } +} + +resolution_diagram::resolution_diagram (unsigned n_crossings_, + unsigned n_starting_circles_, + unsigned n_ending_circles_) + : n_crossings(n_crossings_), + resolved(n_crossings_), + to_resolve(n_crossings_, ~0), + n_starting_circles(n_starting_circles_), + n_ending_circles(n_ending_circles_), + marked_edge(0), + marked_edge2(0), + cpt_inside(num_cpts ()), + prev(num_cpts ()), + next(num_cpts ()), + cpt_starting_circle(num_cpts ()), + cpt_ending_circle(num_cpts ()) +{ +} + +resolution_diagram::resolution_diagram (reverse_crossing_t, + const resolution_diagram &rd, + smallbitset to_reverse) + : n_crossings(rd.n_crossings), + resolved(rd.resolved), + to_resolve(rd.to_resolve), + n_starting_circles(rd.n_starting_circles), + n_ending_circles(rd.n_ending_circles), + marked_edge(rd.marked_edge), + marked_edge2(rd.marked_edge2), + cpt_inside(rd.cpt_inside), + prev(num_cpts ()), + next(num_cpts ()), + cpt_starting_circle(num_cpts ()), + cpt_ending_circle(num_cpts ()) +{ + map m; + for (unsigned i = 1; i <= n_crossings; i ++) + { + if (to_reverse % i) + { + m.push (crossing_from_cpt (i), + crossing_to_cpt (i)); + m.push (crossing_to_cpt (i), + crossing_from_cpt (i)); + } + else + { + m.push (crossing_from_cpt (i), + crossing_from_cpt (i)); + m.push (crossing_to_cpt (i), + crossing_to_cpt (i)); + } + } + + for (unsigned i = 1; i <= num_cpts (); i ++) + { + next[i] = m(rd.next[m(i)]); + prev[i] = m(rd.prev[m(i)]); + + cpt_starting_circle[i] = rd.cpt_starting_circle[m(i)]; + cpt_ending_circle[i] = rd.cpt_ending_circle[m(i)]; + } + +#ifndef NDEBUG + check (); +#endif +} + +resolution_diagram::resolution_diagram (reverse_orientation_t, + const resolution_diagram &rd) + : n_crossings(rd.n_crossings), + resolved(rd.resolved), + to_resolve(rd.to_resolve), + n_starting_circles(rd.n_starting_circles), + n_ending_circles(rd.n_ending_circles), + marked_edge(rd.marked_edge), + marked_edge2(rd.marked_edge2), + cpt_inside(rd.cpt_inside), + prev(num_cpts (), rd.next), + next(num_cpts (), rd.prev), + cpt_starting_circle(num_cpts (), rd.cpt_starting_circle), + cpt_ending_circle(num_cpts (), rd.cpt_ending_circle) +{ + cpt_inside.toggle (); + +#ifndef NDEBUG + check (); +#endif +} + +resolution_diagram::resolution_diagram (const resolution_diagram &rd) + : n_crossings(rd.n_crossings), + resolved(rd.resolved), + to_resolve(rd.to_resolve), + n_starting_circles(rd.n_starting_circles), + n_ending_circles(rd.n_ending_circles), + marked_edge(rd.marked_edge), + marked_edge2(rd.marked_edge2), + cpt_inside(rd.cpt_inside), + prev(num_cpts (), rd.prev), + next(num_cpts (), rd.next), + cpt_starting_circle(num_cpts (), rd.cpt_starting_circle), + cpt_ending_circle(num_cpts (), rd.cpt_ending_circle) +{ +} + +resolution_diagram::resolution_diagram (copy, const resolution_diagram &rd) + : n_crossings(rd.n_crossings), + resolved(rd.resolved), + to_resolve(rd.to_resolve), + n_starting_circles(rd.n_starting_circles), + n_ending_circles(rd.n_ending_circles), + marked_edge(rd.marked_edge), + marked_edge2(rd.marked_edge2), + cpt_inside(rd.cpt_inside), + prev(num_cpts (), rd.prev), + next(num_cpts (), rd.next), + cpt_starting_circle(num_cpts (), rd.cpt_starting_circle), + cpt_ending_circle(num_cpts (), rd.cpt_ending_circle) +{ +} + +resolution_diagram::resolution_diagram (reader &r) +{ + read (r, n_crossings); + read (r, resolved); + read (r, to_resolve); + read (r, n_starting_circles); + read (r, n_ending_circles); + read (r, marked_edge); + read (r, marked_edge2); + read (r, cpt_inside); + read (r, next); + read (r, cpt_starting_circle); + read (r, cpt_ending_circle); + + prev = basedvector (num_cpts ()); + for (unsigned i = 1; i <= num_cpts (); i ++) + prev[next[i]] = i; +} + +resolution_diagram & +resolution_diagram::operator = (const resolution_diagram &rd) +{ + n_crossings = rd.n_crossings; + resolved = rd.resolved; + to_resolve = rd.to_resolve; + n_starting_circles = rd.n_starting_circles; + n_ending_circles = rd.n_ending_circles; + marked_edge = rd.marked_edge; + marked_edge2 = rd.marked_edge2; + cpt_inside = rd.cpt_inside; + prev = rd.prev; + next = rd.next; + cpt_starting_circle = rd.cpt_starting_circle; + cpt_ending_circle = rd.cpt_ending_circle; + return *this; +} + +bool +resolution_diagram::operator == (const resolution_diagram &rd) const +{ + return the_rd_unifier.unify (*this, rd); +} + +void +resolution_diagram::write_self (writer &w) const +{ + write (w, n_crossings); + write (w, resolved); + write (w, to_resolve); + write (w, n_starting_circles); + write (w, n_ending_circles); + write (w, marked_edge); + write (w, marked_edge2); + write (w, cpt_inside); + write (w, next); + write (w, cpt_starting_circle); + write (w, cpt_ending_circle); +} + +hash_t +resolution_diagram::hash_self () const +{ + assert (cpt_inside.size () == num_cpts ()); + + hash_t h = hash (n_crossings); + h = hash_combine (h, hash (n_starting_circles)); + h = hash_combine (h, hash (n_ending_circles)); + h = hash_combine (h, hash (marked_edge == 0)); + h = hash_combine (h, hash (marked_edge2 == 0)); + return h; +} + +resolution_diagram_builder::resolution_diagram_builder () + : gl_crossings(max_crossings), + gl_starting_circles(max_circles), + gl_ending_circles(max_circles) +{ + rd.prev = basedvector (max_cpts); + rd.next = basedvector (max_cpts); + rd.cpt_starting_circle = basedvector (max_cpts); + rd.cpt_ending_circle = basedvector (max_cpts); +} + +void +resolution_diagram_builder::init (const knot_diagram &d, + smallbitset from_state, const smoothing &from_s, + smallbitset to_state, const smoothing &to_s, + smallbitset crossings) +{ + gl_crossings.clear (); + gl_starting_circles.clear (); + gl_ending_circles.clear (); + + for (smallbitset_const_iter i = crossings; i; i ++) + { + unsigned c = i.val (); + + gl_crossings += c; + + unsigned starting_from = from_s.ept_circle (d, d.crossings[c][2]), + starting_to = from_s.ept_circle (d, d.crossings[c][4]); + gl_starting_circles += starting_from; + gl_starting_circles += starting_to; + + unsigned ending_from = to_s.ept_circle (d, d.crossings[c][2]), + ending_to = to_s.ept_circle (d, d.crossings[c][4]); + gl_ending_circles += ending_from; + gl_ending_circles += ending_to; + } + +#ifndef NDEBUG + for (ullmanset_const_iter<1> i = gl_crossings; i; i ++) + { + unsigned c1 = i.val (); + unsigned lc1 = i.pos () + 1; + for (ullmanset_const_iter<1> j = gl_crossings; j; j ++) + { + unsigned c2 = j.val (); + unsigned lc2 = j.pos () + 1; + assert ((c1 < c2) == (lc1 < lc2)); + } + } +#endif + + rd.n_crossings = gl_crossings.card (); + rd.resolved = smallbitset (rd.n_crossings); + rd.to_resolve = smallbitset (rd.n_crossings); + rd.n_starting_circles = gl_starting_circles.card (); + rd.n_ending_circles = gl_ending_circles.card (); + rd.marked_edge = 0; + rd.marked_edge2 = 0; + rd.cpt_inside = smallbitset (rd.num_cpts ()); + + for (smallbitset_const_iter i = crossings; i; i ++) + { + unsigned c = i.val (); + unsigned lc = gl_crossings.position (c) + 1; + + if (from_state(c)) + rd.resolved.push (lc); + else if (to_state(c)) + rd.to_resolve.push (lc); + + if (from_s.crossing_from_inside (d, from_state, c)) + rd.cpt_inside.push (rd.crossing_from_cpt (lc)); + if (from_s.crossing_to_inside (d, from_state, c)) + rd.cpt_inside.push (rd.crossing_to_cpt (lc)); + + unsigned from = from_s.ept_circle (d, d.crossings[c][2]), + to = from_s.ept_circle (d, d.crossings[c][4]); + unsigned lfrom = gl_starting_circles.position (from) + 1, + lto = gl_starting_circles.position (to) + 1; + rd.cpt_starting_circle[rd.crossing_from_cpt (lc)] = lfrom; + rd.cpt_starting_circle[rd.crossing_to_cpt (lc)] = lto; + + unsigned ending_from = to_s.ept_circle (d, d.crossings[c][2]), + ending_to = to_s.ept_circle (d, d.crossings[c][4]); + unsigned lending_from = gl_ending_circles.position (ending_from) + 1, + lending_to = gl_ending_circles.position (ending_to) + 1; + rd.cpt_ending_circle[rd.crossing_from_cpt (lc)] = lending_from; + rd.cpt_ending_circle[rd.crossing_to_cpt (lc)] = lending_to; + } + + lg_edges = basedvector, 1> (rd.num_cpts ()); + + smallbitset done (d.num_edges ()); + for (unsigned i = 1; i <= d.num_edges (); i ++) + { + if (done % i) + continue; + + bool saw_marked_edge = 0, + first_saw_marked_edge = 0; + unsigned first_lcpt = 0, + prev_lcpt = 0; + set first_saw_gedges; + for (unsigned e = i;;) + { + done.push (e); + + if (e == d.marked_edge) + saw_marked_edge = 1; + + if (prev_lcpt) + lg_edges[prev_lcpt].push (e); + else + first_saw_gedges.push (e); + + unsigned p = from_s.edge_to (d, e); + unsigned c = d.ept_crossing (p); + if (crossings % c) + { + unsigned lc = gl_crossings.position (c) + 1; + unsigned next_lcpt = from_s.is_crossing_from_ept (d, from_state, p) + ? rd.crossing_from_cpt (lc) + : rd.crossing_to_cpt (lc); + + if (!first_lcpt) + { + assert (prev_lcpt == 0); + first_lcpt = next_lcpt; + + assert (first_saw_marked_edge == 0); + first_saw_marked_edge = saw_marked_edge; + saw_marked_edge = 0; + } + if (prev_lcpt) + { + rd.next[prev_lcpt] = next_lcpt; + rd.prev[next_lcpt] = prev_lcpt; + if (saw_marked_edge) + { + assert (rd.marked_edge == 0); + rd.marked_edge = prev_lcpt; + } + saw_marked_edge = 0; + } + prev_lcpt = next_lcpt; + } + + e = from_s.next_edge (d, from_state, e); + if (e == i) + break; + } + if (first_lcpt) + { + assert (prev_lcpt); + + rd.next[prev_lcpt] = first_lcpt; + rd.prev[first_lcpt] = prev_lcpt; + if (saw_marked_edge || first_saw_marked_edge) + { + assert (rd.marked_edge == 0); + rd.marked_edge = prev_lcpt; + first_saw_marked_edge = saw_marked_edge = 0; + } + + lg_edges[prev_lcpt] |= first_saw_gedges; + } + else + assert (!prev_lcpt); + assert (!first_saw_marked_edge); + } +#ifndef NDEBUG + if (rd.marked_edge) + { + assert (d.marked_edge); + assert (rd.marked_starting_circle () + == gl_starting_circles.position (from_s.edge_circle[d.marked_edge]) + 1); +#if 0 + assert (rd.marked_ending_circle () + == gl_ending_circles.position (to_s.edge_circle[d.marked_edge]) + 1); +#endif + } + else if (d.marked_edge) + { + assert (!gl_starting_circles(from_s.edge_circle[d.marked_edge])); + assert (!gl_ending_circles(to_s.edge_circle[d.marked_edge])); + } +#endif + assert (done.card () == d.num_edges ()); +} + +void +resolution_diagram_builder::mirror () +{ + abort (); // ??? +} + +void +resolution_diagram_builder::reverse_orientation () +{ + abort (); // ??? +} + +void +resolution_diagram_builder::reverse_crossing (const knot_diagram &d, + const smoothing &from_s, const smoothing &to_s, + unsigned c) +{ +#ifndef NDEBUG + for (unsigned i = 1; i <= rd.num_cpts (); i ++) + { + assert (rd.prev[rd.next[i]] == i); + assert (rd.next[rd.prev[i]] == i); + } +#endif + + if (! (gl_crossings % c)) + return; + + unsigned lc = gl_crossings.position (c) + 1; + unsigned from = rd.crossing_from_cpt (lc), + to = rd.crossing_to_cpt (lc); + + unsigned from_prev = rd.prev[from], + from_next = rd.next[from], + to_prev = rd.prev[to], + to_next = rd.next[to]; + + if ((from_next == to + && to_next == from) + || (from_next == from + && to_next == to)) + ; + else if (from_next == to) + { + rd.next[from_prev] = to; + rd.prev[to] = from_prev; + rd.next[to] = from; + rd.prev[from] = to; + rd.next[from] = to_next; + rd.prev[to_next] = from; + } + else if (to_next == from) + { + rd.next[to_prev] = from; + rd.prev[from] = to_prev; + rd.next[from] = to; + rd.prev[to] = from; + rd.next[to] = from_next; + rd.prev[from_next] = to; + } + else if (from_next == from) + { + rd.next[from] = to_next; + rd.prev[from] = to_prev; + rd.next[to_prev] = from; + rd.prev[to_next] = from; + + rd.prev[to] = rd.next[to] = to; + } + else if (to_next == to) + { + rd.next[to] = from_next; + rd.prev[to] = from_prev; + rd.next[from_prev] = to; + rd.prev[from_next] = to; + + rd.prev[from] = rd.next[from] = from; + } + else + { + rd.prev[from] = to_prev; + rd.next[from] = to_next; + rd.prev[to] = from_prev; + rd.next[to] = from_next; + + rd.next[from_prev] = to; + rd.prev[from_next] = to; + rd.next[to_prev] = from; + rd.prev[to_next] = from; + } + +#ifndef NDEBUG + for (unsigned i = 1; i <= rd.num_cpts (); i ++) + { + assert (rd.prev[rd.next[i]] == i); + assert (rd.next[rd.prev[i]] == i); + } +#endif + + bool from_inside = rd.cpt_inside % from, + to_inside = rd.cpt_inside % to; + rd.cpt_inside -= from; + rd.cpt_inside -= to; + if (from_inside) + rd.cpt_inside.push (to); + if (to_inside) + rd.cpt_inside.push (from); + + unsigned cfrom = rd.cpt_starting_circle[from], + cto = rd.cpt_starting_circle[to], + c_ending_from = rd.cpt_ending_circle[from], + c_ending_to = rd.cpt_ending_circle[to]; + + rd.cpt_starting_circle[from] = cto; + rd.cpt_starting_circle[to] = cfrom; + rd.cpt_ending_circle[from] = c_ending_to; + rd.cpt_ending_circle[to] = c_ending_from; + + if (rd.marked_edge == from) + rd.marked_edge = to; + else if (rd.marked_edge == to) + rd.marked_edge = from; + + set t = lg_edges[from]; + lg_edges[from] = lg_edges[to]; + lg_edges[to] = t; + +#if 0 + gl_starting_circles.clear (); + gl_ending_circles.clear (); + for (ullmanset<1>::const_iter i = gl_crossings; i; i ++) + { + unsigned c2 = i.val (), + lc2 = i.pos () + 1; + + unsigned from, to, left, right; + if (c2 == c) + { + from = from_s.ept_circle (d, d.crossings[c2][3]); + to = from_s.ept_circle (d, d.crossings[c2][1]); + + left = to_s.ept_circle (d, d.crossings[c2][3]); + right = to_s.ept_circle (d, d.crossings[c2][1]); + } + else + { + from = from_s.ept_circle (d, d.crossings[c2][1]); + to = from_s.ept_circle (d, d.crossings[c2][3]); + + left = to_s.ept_circle (d, d.crossings[c2][1]); + right = to_s.ept_circle (d, d.crossings[c2][3]); + } + + gl_starting_circles += from; + gl_starting_circles += to; + gl_ending_circles += left; + gl_ending_circles += right; + + unsigned lfrom = gl_starting_circles.position (from) + 1, + lto = gl_starting_circles.position (to) + 1; + unsigned lleft = gl_ending_circles.position (left) + 1, + lright = gl_ending_circles.position (right) + 1; + + rd.cpt_starting_circle[rd.crossing_to_cpt (lc2)] = lto; + rd.cpt_starting_circle[rd.crossing_from_cpt (lc2)] = lfrom; + + rd.cpt_ending_circle[rd.crossing_to_cpt (lc2)] = lleft; + rd.cpt_ending_circle[rd.crossing_from_cpt (lc2)] = lright; + } +#endif +} + +void +resolution_diagram::reverse () +{ + basedvector new_prev (num_cpts ()), + new_next (num_cpts ()), + new_cpt_starting_circle (num_cpts ()), + new_cpt_ending_circle (num_cpts ()); + + for (unsigned i = 1; i <= num_cpts (); i ++) + { + unsigned j = other_cpt (i); + new_prev[i] = other_cpt (prev[j]); + new_next[i] = other_cpt (next[j]); + new_cpt_starting_circle[i] = cpt_starting_circle[j]; + new_cpt_ending_circle[i] = cpt_ending_circle[j]; + } + unsigned new_marked_edge = marked_edge ? other_cpt (marked_edge) : 0; + + prev = new_prev; + next = new_next; + cpt_starting_circle = new_cpt_starting_circle; + cpt_ending_circle = new_cpt_ending_circle; + marked_edge = new_marked_edge; +} + +void +resolution_diagram::reverse_orientation () +{ + if (marked_edge) + marked_edge = next[marked_edge]; + + for (unsigned i = 1; i <= num_cpts (); i ++) + std::swap (prev[i], next[i]); + cpt_inside.toggle (); +} + +knot_diagram +resolution_diagram::as_knot_diagram () const +{ + unsigned n_edges = num_cpts (); + unsigned n_epts = n_edges * 2; + + basedvector, 1> crossings (n_crossings); + for (unsigned i = 1; i <= n_crossings; i ++) + { + basedvector v (4); + v[1] = v[2] = v[3] = v[4] = 0; + crossings[i] = v; + } + + for (unsigned pt = 1; pt <= num_cpts (); pt ++) + { + unsigned c = cpt_crossing (pt); + + unsigned prev_pt = prev[pt]; + unsigned prev_c = cpt_crossing (prev_pt); + + if (is_to_cpt (pt)) + { + assert (crossings[c][3] == 0 + && crossings[c][4] == 0); + if (cpt_inside % pt) + { + crossings[c][4] = 2 * pt - 1; + crossings[c][3] = 2 * prev_pt; + } + else + { + crossings[c][3] = 2 * pt - 1; + crossings[c][4] = 2 * prev_pt; + } + } + else + { + assert (crossings[c][1] == 0 + && crossings[c][2] == 0); + if (cpt_inside % pt) + { + crossings[c][2] = 2 * pt - 1; + crossings[c][1] = 2 * prev_pt; + } + else + { + crossings[c][1] = 2 * pt - 1; + crossings[c][2] = 2 * prev_pt; + } + } + } + + knot_diagram kd ("", crossings); + if (marked_edge) + kd.marked_edge = marked_edge; + return kd; +} + +void +resolution_diagram::d (basedvector, 1> &out) const +{ + if (n_crossings == 1) + { + if (n_starting_circles == 1) + { + assert (n_ending_circles == 2); + + /* 1 -> x + y */ + out.append (pair (unsigned_fill (n_starting_circles), + unsigned_bitmask (1))); + out.append (pair (unsigned_fill (n_starting_circles), + unsigned_bitmask (2))); + + /* a -> xy */ + out.append (pair (0, 0)); + } + else + { + assert (n_starting_circles == 2); + + /* 1 -> 1 */ + out.append (pair (unsigned_fill (n_starting_circles), + unsigned_fill (n_ending_circles))); + + /* a -> x, b -> x */ + out.append (pair (unsigned_bitmask (1), 0)); + out.append (pair (unsigned_bitmask (2), 0)); + } + return; + } + + unsigned self_crossed = 0; + bool self_inside = 0, + self_outside = 0; + for (unsigned i = 1; i <= n_crossings; i ++) + { + unsigned from = crossing_from (i), + to = crossing_to (i); + + if (from == to) + { + if (self_crossed) + { + if (self_crossed != from) + { + assert (out.size () == 0); + return; + } + } + else + self_crossed = from; + + if (crossing_from_inside (i)) + self_inside = 1; + else + self_outside = 1; + } + } + + unsigned common_from = crossing_from (1); + for (unsigned i = 2; i <= n_crossings; i ++) + { + if (common_from != crossing_from (i)) + { + common_from = 0; + break; + } + } + unsigned common_to = crossing_to (1); + for (unsigned i = 2; i <= n_crossings; i ++) + { + if (common_to != crossing_to (i)) + { + common_to = 0; + break; + } + } + + basedvector incoming (n_starting_circles), + outgoing (n_starting_circles); + for (unsigned i = 1; i <= n_starting_circles; i ++) + incoming[i] = outgoing[i] = 0; + for (unsigned i = 1; i <= n_crossings; i ++) + { + incoming[crossing_to (i)] ++; + outgoing[crossing_from (i)] ++; + } + + bool single_entry_single_exit = 1; + unsigned double_entry_double_exit = 0; + for (unsigned i = 1; i <= n_starting_circles; i ++) + { + if (incoming[i] != 1 + || outgoing[i] != 1) + single_entry_single_exit = 0; + + if (incoming[i] == 2 + && outgoing[i] == 2) + { + if (double_entry_double_exit) + { + double_entry_double_exit = 0; + break; + } + else + double_entry_double_exit = i; + } + } + + /* type A_k */ + if (common_from && common_to && n_starting_circles == 2) + { + /* 1 -> 1 */ + out.append (pair (unsigned_fill (n_starting_circles), + unsigned_fill (n_ending_circles))); + } + + /* type B_k */ + if (single_entry_single_exit) + { + /* prod a_i -> xy */ + out.append (pair (0, 0)); + } + + /* type C_p,q */ + // ?? make this code logical like the new type E_p,q + if (n_starting_circles == 1) + { + unsigned inout_changes = 0; + for (unsigned i = 1; i <= n_crossings; i ++) + { + unsigned n = next[crossing_to_cpt (i)], + m = next[crossing_from_cpt (i)]; + if (crossing_from_inside (i)) + { + if (is_to_cpt (n) != (cpt_inside % n)) + goto D; + if (is_to_cpt (m) == (cpt_inside % m)) + goto D; + } + else + { + if (!is_to_cpt (n)) + goto D; + if (is_to_cpt (m)) + goto D; + } + if (crossing_from_inside (i) != (cpt_inside % n)) + inout_changes ++; + if (crossing_from_inside (i) != (cpt_inside % m)) + inout_changes ++; + } + if (inout_changes != 4) + goto D; + + /* 1 -> 1 */ + out.append (pair (unsigned_fill (n_starting_circles), + unsigned_fill (n_ending_circles))); + } + + /* case D_p,q */ + D: + if (double_entry_double_exit) + { + /* check all others are single entry, single exit */ + // ??? fold into double_entry_double_exit code + for (unsigned i = 1; i <= n_starting_circles; i ++) + { + if (i != double_entry_double_exit + && (incoming[i] != 1 || outgoing[i] != 1)) + goto E; + } + + unsigned inside_count = 0; + for (unsigned i = 1; i <= n_crossings; i ++) + { + if (crossing_to_inside (i) && crossing_to (i) == double_entry_double_exit) + { + unsigned n = next[crossing_to_cpt (i)]; + if ((cpt_inside % n) || is_to_cpt (n)) + goto E; + inside_count ++; + } + if (crossing_from_inside (i) && crossing_from (i) == double_entry_double_exit) + { + unsigned n = next[crossing_from_cpt (i)]; + if ((cpt_inside % n) || ! is_to_cpt (n)) + goto E; + inside_count ++; + } + } + + if (inside_count != 2) + goto E; + + /* prod a_i -> x */ + out.append (pair (0, 0)); + } + + /* case E_p,q */ + E: + if (common_from || common_to) + { + unsigned common = common_from ? common_from : common_to; + assert (common); + + /* make sure the x_i have single circles */ + for (unsigned i = 1; i <= n_starting_circles; i ++) + { + if (i != common + && incoming[i] + outgoing[i] != 1) + goto Ldone; + } + + for (unsigned i = 1; i <= n_crossings; i ++) + { + if (crossing_is_split (i)) + { + unsigned ifrom = crossing_from_cpt (i), + ito = crossing_to_cpt (i); + + if (next[ifrom] != ito + && prev[ifrom] != ito) + goto Ldone; + } + } + + bool orient = crossing_orientation (common, 1); + for (unsigned i = 1; i <= n_crossings; i ++) + { + bool o = crossing_orientation (common, i); + if (o != orient) + goto Ldone; + } + + set b_i; + for (unsigned i = 1; i <= n_crossings; i ++) + { + if (crossing_is_split (i)) + { + if (orient) + b_i += crossing_ending_left (i); + else + b_i += crossing_ending_right (i); + } + } + + /* prod a_i -> x */ + out.append (pair (unsigned_bitmask (common), + unsigned_set (b_i))); + } + + Ldone: + return; +} + +void +resolution_diagram::twisted_barE (basedvector >, 1> &out) const +{ + if (n_crossings == 1) + { + if (n_starting_circles == 1) + { + assert (n_ending_circles == 2); + + unsigned a = crossing_from (1); + unsigned x = crossing_ending_left (1), + y = crossing_ending_right (1); + + unsigned e = cpt_inside % crossing_to_cpt (1) + ? crossing_to_cpt (1) + : crossing_from_cpt (1); + + set edges; + edges.push (e); + + /* 1 -> T^x x + y */ + out.append (triple > + (1, unsigned_bitmask (y), edges)); + + out.append (triple > + (1, unsigned_bitmask (x), set ())); + + /* a -> xy */ + out.append (triple > + (0, 0, set ())); + } + else + { + assert (n_starting_circles == 2); + + unsigned a = crossing_from (1), + b = crossing_to (1); + unsigned x = crossing_ending_left (1); + + /* 1 -> 1 */ + out.append (triple > + (3, 1, set ())); + + unsigned e = crossing_from_cpt (1); + + set edges; + edges.push (e); + + /* a -> x, b -> T^a x */ + out.append (triple > + (unsigned_bitmask (b), 0, set ())); + out.append (triple > + (unsigned_bitmask (a), 0, edges)); + } + return; + } + + unsigned common_from = crossing_from (1); + for (unsigned i = 2; i <= n_crossings; i ++) + { + if (common_from != crossing_from (i)) + { + common_from = 0; + break; + } + } + unsigned common_to = crossing_to (1); + for (unsigned i = 2; i <= n_crossings; i ++) + { + if (common_to != crossing_to (i)) + { + common_to = 0; + break; + } + } + + basedvector incoming (n_starting_circles), + outgoing (n_starting_circles); + for (unsigned i = 1; i <= n_starting_circles; i ++) + incoming[i] = outgoing[i] = 0; + for (unsigned i = 1; i <= n_crossings; i ++) + { + incoming[crossing_to (i)] ++; + outgoing[crossing_from (i)] ++; + } + + if (common_from || common_to) + { + unsigned common = common_from ? common_from : common_to; + assert (common); + + /* make sure the x_i have single circles */ + for (unsigned i = 1; i <= n_starting_circles; i ++) + { + if (i != common + && incoming[i] + outgoing[i] != 1) + return; + } + + for (unsigned i = 1; i <= n_crossings; i ++) + { + if (crossing_is_split (i)) + { + unsigned ifrom = crossing_from_cpt (i), + ito = crossing_to_cpt (i); + + if (next[ifrom] != ito + && prev[ifrom] != ito) + return; + } + } + + bool orient = crossing_orientation (common, 1); + if (orient) + return; + + for (unsigned i = 1; i <= n_crossings; i ++) + { + bool o = crossing_orientation (common, i); + if (o != orient) + return; + } + + set b_i; + for (unsigned i = 1; i <= n_crossings; i ++) + { + if (crossing_is_split (i)) + { + if (orient) + b_i += crossing_ending_left (i); + else + b_i += crossing_ending_right (i); + } + } + + set edges; + for (unsigned i = 1; i <= n_crossings; i ++) + { + if (crossing_is_split (i)) + { + if (crossing_from_inside (i)) + edges.push (crossing_to_cpt (i)); + else + edges.push (crossing_from_cpt (i)); + } + else + { + assert (crossing_from (i) == common); + edges.push (crossing_from_cpt (i)); + } + } + + /* prod a_i -> x */ + out.append (triple > + (unsigned_bitmask (common), unsigned_set (b_i), edges)); + } +} + +void +resolution_diagram::twin_arrows_P (basedvector, 1> &out) const +{ + if (!marked_edge) + return; + unsigned marked_circle = cpt_starting_circle[marked_edge]; + + basedvector incoming (n_starting_circles), + outgoing (n_starting_circles); + for (unsigned i = 1; i <= n_starting_circles; i ++) + incoming[i] = outgoing[i] = 0; + for (unsigned i = 1; i <= n_crossings; i ++) + { + incoming[crossing_to (i)] ++; + outgoing[crossing_from (i)] ++; + } + + unsigned common_circle = marked_circle; // from circle + unsigned common_ending_circle = 0; + for (unsigned i = 1; i <= n_crossings; i ++) + { + if (crossing_from (i) != common_circle) + return; + + if (crossing_from (i) == crossing_to (i)) + { + if (crossing_to_inside (i)) + { + if (prev[crossing_to_cpt (i)] != crossing_from_cpt (i) + || marked_edge == crossing_from_cpt (i)) + return; + } + else + { + assert (crossing_to_outside (i)); + if (next[crossing_to_cpt (i)] != crossing_from_cpt (i) + || marked_edge == crossing_to_cpt (i)) + return; + } + + common_ending_circle = crossing_ending_left (i); + } + else + { + if (incoming[crossing_to (i)] != 1 + || outgoing[crossing_to (i)] != 0) + return; + + common_ending_circle = crossing_ending_left (i); + } + } + +#if 1 + assert (common_ending_circle); + out.append (pair (unsigned_bitmask (common_circle), + unsigned_fill (n_ending_circles) +#if 0 + unsigned_bitclear (unsigned_fill (n_ending_circles), + common_ending_circle) +#endif + )); + return; +#endif +} + +void +resolution_diagram::show_self () const +{ + assert (resolved.size () == n_crossings); + assert (to_resolve.size () == n_crossings); + + printf ("%d,", n_crossings); + + if (resolved.card () != 0 + || to_resolve.card () != n_crossings) + { + show (resolved); + printf (" -> "); + show (to_resolve); + printf (","); + } + + basedvector start (n_starting_circles); + for (unsigned i = 1; i <= n_starting_circles; i ++) + start[i] = 0; + for (unsigned i = 1; i <= num_cpts (); i ++) + { + unsigned s = cpt_starting_circle[i]; + if (start[s] == 0) + start[s] = i; + } + + for (unsigned i = 1; i <= n_starting_circles; i ++) + { + printf ("("); + bool first = 1; + for (unsigned j = start[i];;) + { + if (first) + first = 0; + else + printf (", "); + printf ("%c%d%s", + is_from_cpt (j) ? 't' : 'h', + cpt_crossing (j), + cpt_inside % j ? "in" : "out"); + if (j == marked_edge) + printf ("*"); + if (j == marked_edge2) + printf ("+"); + j = next[j]; + if (j == start[i]) + break; + } + printf (")"); + } + + for (unsigned i = 1; i <= n_crossings; i ++) + { + printf (","); + printf ("%d|%d", + crossing_ending_to (i), + crossing_ending_from (i)); + } +} diff --git a/cobordism.h b/cobordism.h new file mode 100644 index 0000000..e8dfc47 --- /dev/null +++ b/cobordism.h @@ -0,0 +1,208 @@ + +static const unsigned max_cpts = max_crossings * 2; + +enum reverse_crossing_t { REVERSE_CROSSING }; +enum reverse_orientation_t { REVERSE_ORIENTATION }; + +class resolution_diagram +{ + public: + unsigned n_crossings; + smallbitset resolved; + smallbitset to_resolve; + unsigned n_starting_circles; + unsigned n_ending_circles; + + unsigned marked_edge; // edge from cpt + unsigned marked_edge2; + + smallbitset cpt_inside; + /* prev, next cpt on circle in some orientation */ + basedvector prev, next; + basedvector cpt_starting_circle; + basedvector cpt_ending_circle; + + unsigned num_cpts () const { return n_crossings * 2; } + unsigned crossing_from_cpt (unsigned c) const + { + assert (between (1, c, n_crossings)); + return c * 2 - 1; + } + unsigned crossing_to_cpt (unsigned c) const + { + assert (between (1, c, n_crossings)); + return c * 2; + } + unsigned is_from_cpt (unsigned pt) const + { + assert (between (1, pt, num_cpts ())); + return is_odd (pt); + } + unsigned is_to_cpt (unsigned pt) const + { + assert (between (1, pt, num_cpts ())); + return is_even (pt); + } + unsigned cpt_crossing (unsigned pt) const + { + assert (between (1, pt, num_cpts ())); + return (pt + 1) / 2; + } + unsigned other_cpt (unsigned pt) const + { + assert (between (1, pt, num_cpts ())); + if (is_odd (pt)) + return pt + 1; + else + return pt - 1; + } + unsigned marked_starting_circle () const + { + assert (marked_edge); + return cpt_starting_circle[marked_edge]; + } + unsigned marked_ending_circle () const + { + assert (marked_edge); + unsigned c = cpt_crossing (marked_edge); + + if (to_resolve(c)) + { + if (is_to_cpt (marked_edge) != cpt_inside(marked_edge)) + return cpt_ending_circle[crossing_from_cpt (c)]; + else + return cpt_ending_circle[crossing_to_cpt (c)]; + } + else + { + if (is_from_cpt (marked_edge)) + return cpt_ending_circle[crossing_from_cpt (c)]; + else + return cpt_ending_circle[crossing_to_cpt (c)]; + } + } + + unsigned crossing_from (unsigned c) const + { + assert (between (1, c, n_crossings)); + return cpt_starting_circle[crossing_from_cpt (c)]; + } + unsigned crossing_to (unsigned c) const + { + assert (between (1, c, n_crossings)); + return cpt_starting_circle[crossing_to_cpt (c)]; + } + unsigned crossing_ending_from (unsigned c) const + { + assert (between (1, c, n_crossings)); + return cpt_ending_circle[crossing_from_cpt (c)]; + } + unsigned crossing_ending_right (unsigned c) const { return crossing_ending_from (c); } + unsigned crossing_ending_to (unsigned c) const + { + assert (between (1, c, n_crossings)); + return cpt_ending_circle[crossing_to_cpt (c)]; + } + unsigned crossing_ending_left (unsigned c) const { return crossing_ending_to (c); } + bool crossing_from_inside (unsigned c) const + { + assert (between (1, c, n_crossings)); + return cpt_inside % crossing_from_cpt (c); + } + bool crossing_from_outside (unsigned c) const { return !crossing_from_inside (c); } + bool crossing_to_inside (unsigned c) const + { + assert (between (1, c, n_crossings)); + return cpt_inside % crossing_to_cpt (c); + } + bool crossing_to_outside (unsigned c) const { return !crossing_to_inside (c); } + + unsigned left_cpt (unsigned pt) const + { + if (cpt_inside % pt) + return next[pt]; + else + return prev[pt]; + } + unsigned right_cpt (unsigned pt) const + { + if (cpt_inside % pt) + return prev[pt]; + else + return next[pt]; + } + + bool crossing_orientation (unsigned common, unsigned i) const; + bool crossing_is_split (unsigned c) const { return crossing_from (c) == crossing_to (c); } + bool crossing_is_join (unsigned c) const { return crossing_from (c) != crossing_to (c); } + bool marked_edge_left (unsigned p) const; + + void compute_prev (); + void check (); + + public: + resolution_diagram (); + + resolution_diagram (unsigned n_crossings_, + unsigned n_starting_circles_, + unsigned n_ending_circles_); + resolution_diagram (reverse_crossing_t, + const resolution_diagram &rd, + smallbitset to_reverse); + resolution_diagram (reverse_orientation_t, + const resolution_diagram &rd); + + resolution_diagram (const resolution_diagram &rd); // copies + resolution_diagram (copy, const resolution_diagram &rd); + resolution_diagram (reader &r); + ~resolution_diagram () { } + + resolution_diagram &operator = (const resolution_diagram &rd); + + bool operator == (const resolution_diagram &rd) const; + + /* reverse, reverse_orientation leave starting/ending circle numbers + unchanged. */ + void reverse (); + void reverse_orientation (); + + knot_diagram as_knot_diagram () const; + + void d (basedvector, 1> &out) const; + void twisted_barE (basedvector >, 1> &out) const; + void twin_arrows_P (basedvector, 1> &out) const; + + void write_self (writer &w) const; + hash_t hash_self () const; + void show_self () const; + void display_self () const { show_self (); newline (); } +}; + +class resolution_diagram_builder +{ + public: + ullmanset<1> gl_crossings; + ullmanset<1> gl_starting_circles, gl_ending_circles; + + basedvector, 1> lg_edges; + + resolution_diagram rd; + + public: + resolution_diagram_builder (); + resolution_diagram_builder (const resolution_diagram_builder &); // doesn't exist + ~resolution_diagram_builder () { } + + resolution_diagram_builder &operator = (const resolution_diagram_builder &); // doesn't exist + + void init (const knot_diagram &d, + smallbitset from_state, const smoothing &from_s, + smallbitset to_state, const smoothing &to_s, + smallbitset crossings); + + void mirror (); + void reverse_orientation (); + void reverse_crossing (const knot_diagram &d, + const smoothing &from_s, const smoothing &to_s, + unsigned c); +}; diff --git a/cube.cpp b/cube.cpp new file mode 100644 index 0000000..ea03738 --- /dev/null +++ b/cube.cpp @@ -0,0 +1,11 @@ + +#include + +sseq +compute_szabo_sseq (const cube &c) +{ + mod_map d = c.compute_d (0, 0, 0, 0, 0); + + sseq_builder builder (c.khC, d); + return builder.build_sseq (); +} diff --git a/cube.h b/cube.h new file mode 100644 index 0000000..b3883ac --- /dev/null +++ b/cube.h @@ -0,0 +1,120 @@ + +class map_rules +{ + public: + map_rules () { } + map_rules (const map_rules &); // doesn't exist + virtual ~map_rules () { } + + map_rules &operator = (const map_rules &); // doesn't exist + + virtual void map (basedvector, 1> &out, + resolution_diagram_builder &rdb) const = 0; +}; + +template +class cube /* of resolutions */ +{ +public: + typedef typename R::linear_combination linear_combination; + typedef typename R::linear_combination_const_iter linear_combination_const_iter; + + public: + bool markedp_only; + + knot_diagram &kd; + unsigned n_crossings; + unsigned n_resolutions; + + unsigned n_generators; + vector resolution_circles; + vector resolution_generator1; + + ptr > khC; + + mod_map compute_map (unsigned dh, unsigned max_n, + bool mirror, + bool reverse_orientation, + unsigned to_reverse, + const map_rules &rules) const; + + mod_map compute_d (unsigned dh, unsigned max_n, + bool mirror, + bool reverse_orientation, + unsigned to_reverse) const; + + mod_map compute_twin_arrows_P (bool mirror, + bool reverse_orientation, + unsigned to_reverse) const; + + mod_map H_i (unsigned c); + + mod_map compute_nu () const; + mod_map compute_X (unsigned p) const; + + void check_reverse_crossings (); + void check_reverse_orientation (); + +public: + cube (knot_diagram &d_, bool markedp_only_ = 0); + ~cube () { } + + grading compute_generator_grading (unsigned g) const; + grading compute_state_monomial_grading (unsigned state, unsigned monomial) const; + + unsigned generator (unsigned i, unsigned j) const; + pair generator_state_monomial (unsigned g) const; + + ptr > compute_kh () const; + + void show_state (unsigned state) const; + void show_state_monomial (unsigned state, unsigned monomial) const; + void show_self () const { printf ("cube"); } + void display_self () const; +}; + +class twisted_map_rules +{ + public: + twisted_map_rules () { } + twisted_map_rules (const twisted_map_rules &); // doesn't exist + virtual ~twisted_map_rules () { } + + map_rules &operator = (const twisted_map_rules &); // doesn't exist + + virtual void map (basedvector >, 1> &out, + resolution_diagram_builder &rdb) const = 0; +}; + +template +class twisted_cube +{ + public: + typedef fraction_field > R; + + public: + const cube &c; + + public: + twisted_cube (const cube &c_) + : c(c_) + { } + + twisted_cube (const twisted_cube &); // doesn't exist + ~twisted_cube () { } + + twisted_cube &operator = (const twisted_cube &); // doesn't exist + + mod_map compute_twisted_map (basedvector edge_weight, + unsigned dh, + unsigned to_reverse, + const twisted_map_rules &rules) const; + + mod_map compute_twisted_barE (basedvector edge_weight, + unsigned dh, unsigned to_reverse) const; + mod_map twisted_d0 (basedvector edge_weight) const; +}; + +extern sseq compute_szabo_sseq (const cube &c); + +#include diff --git a/cube_impl.h b/cube_impl.h new file mode 100644 index 0000000..6332809 --- /dev/null +++ b/cube_impl.h @@ -0,0 +1,728 @@ + +template +class khC_generators +{ + const cube &c; + +public: + khC_generators (const khC_generators &g) : c(g.c) { } + khC_generators (const cube &c_) : c(c_) { } + ~khC_generators () { } + + khC_generators &operator = (const khC_generators &); // doesn't exist + + unsigned dim () const { return c.n_generators; } + unsigned free_rank () const { return c.n_generators; } + grading generator_grading (unsigned i) const { return c.compute_generator_grading (i); } + void show_generator (unsigned i) const + { + pair sm = c.generator_state_monomial (i); + c.show_state_monomial (sm.first, sm.second); + } + + R generator_ann (unsigned i) const { abort (); } +}; + +template mod_map +cube::compute_map (unsigned dh, unsigned max_n, + bool mirror, + bool reverse_orientation, + unsigned to_reverse, + const map_rules &rules) const +{ + mod_map r (khC); + + smoothing from_s (kd); + smoothing to_s (kd); + resolution_diagram_builder rdb; + + ullmanset<1> free_circles (max_circles); + ullmanset<1> from_circles (max_circles); + + if (verbose) + { + fprintf (stderr, "computing differential...\n"); + fprintf (stderr, "%d resolutions.\n", n_resolutions); + } + + basedvector, 1> out; + for (unsigned fromstate = 0; fromstate < n_resolutions; fromstate ++) + { + if (verbose + && (fromstate & unsigned_fill (n_crossings > 4 + ? n_crossings - 4 + : 0)) == 0) + fprintf (stderr, "%d / %d resolutions done.\n", fromstate, n_resolutions); + + unsigned n_zerocrossings = n_crossings - unsigned_bitcount (fromstate); + unsigned n_cobordisms = ((unsigned)1) << n_zerocrossings; + + from_s.init (kd, smallbitset (n_crossings, fromstate)); + + unionfind<1> u (from_s.n_circles); + + basedvector from_circle_edge_rep (from_s.n_circles); + for (unsigned j = 1; j <= kd.num_edges (); j ++) + from_circle_edge_rep[from_s.edge_circle[j]] = j; + + for (unsigned j = 0; j < n_cobordisms; j ++) + { + if (dh && unsigned_bitcount (j) != dh) + continue; + if (max_n && unsigned_bitcount (j) > max_n) + continue; + + unsigned tostate = unsigned_pack (n_crossings, fromstate, j); + unsigned crossings = tostate & ~fromstate; + + int sign = 1; + for (unsigned i = 1; i <= n_crossings; i ++) + { + if (unsigned_bittest (crossings, i)) + break; + if (unsigned_bittest (fromstate, i)) + sign *= -1; + } + // printf ("fromstate = %d, tostate = %d, sign = %d\n", fromstate, tostate, sign); + + u.clear (); + from_circles.clear (); + + for (unsigned_const_iter k = crossings; k; k ++) + { + unsigned c = k.val (); + + unsigned from = from_s.ept_circle (kd, kd.crossings[c][1]), + to = from_s.ept_circle (kd, kd.crossings[c][3]); + from_circles += from; + from_circles += to; + u.join (from, to); + } + if (from_s.n_circles - from_circles.card () + 1 != u.num_sets ()) + continue; + + to_s.init (kd, smallbitset (n_crossings, tostate)); + rdb.init (kd, + smallbitset (n_crossings, fromstate), from_s, + smallbitset (n_crossings, tostate), to_s, + smallbitset (n_crossings, crossings)); + if (mirror) + rdb.mirror (); + if (reverse_orientation) + rdb.reverse_orientation (); + if (to_reverse) + rdb.reverse_crossing (kd, from_s, to_s, to_reverse); + + // display (rdb.rd); + + out.resize (0); + rules.map (out, rdb); + if (out.size () == 0) + continue; + + free_circles.clear (); + for (unsigned i = 1; i <= from_s.n_circles; i ++) + { + if (! (rdb.gl_starting_circles % i)) + free_circles.push (i); + } + unsigned n_free_circles = free_circles.card (); + unsigned n_free_monomials = ((unsigned)1) << n_free_circles; + + for (unsigned i = 0; i < n_free_monomials; i ++) + { + unsigned m_from = 0, + m_to = 0; + + for (unsigned_const_iter jj = i; jj; jj ++) + { + unsigned s = free_circles.nth (jj.val () - 1); + m_from = unsigned_bitset (m_from, s); + m_to = unsigned_bitset (m_to, to_s.edge_circle[from_circle_edge_rep[s]]); + } + + for (unsigned j = 1; j <= out.size (); j ++) + { + unsigned v_from = m_from, + v_to = m_to; + + unsigned l_from = out[j].first, + l_to = out[j].second; + for (unsigned_const_iter kk = l_from; kk; kk ++) + { + unsigned s = rdb.gl_starting_circles.nth (kk.val () - 1); + v_from = unsigned_bitset (v_from, s); + } + for (unsigned_const_iter kk = l_to; kk; kk ++) + { + unsigned s = rdb.gl_ending_circles.nth (kk.val () - 1); + v_to = unsigned_bitset (v_to, s); + } + + if (markedp_only) + { + unsigned p = from_s.edge_circle[kd.marked_edge]; + if (unsigned_bittest (v_from, p)) + continue; + assert (!unsigned_bittest (v_to, p)); + } + + r[generator (fromstate, v_from)].muladd + (sign, generator (tostate, v_to)); + } + } + } + } + + if (verbose) + { + fprintf (stderr, "%d / %d resolutions done.\n", n_resolutions, n_resolutions); + fprintf (stderr, "computing differential done.\n"); + } + + return r; +} + +class d_rules : public map_rules +{ +public: + d_rules () { } + d_rules (const d_rules &); // doesn't exist + ~d_rules () { } + + d_rules &operator = (const d_rules &); // doesn't exist + + void map (basedvector, 1> &out, + resolution_diagram_builder &rdb) const + { + rdb.rd.d (out); + } +}; + +template mod_map +cube::compute_d (unsigned dh, unsigned max_n, + bool mirror, + bool reverse_orientation, + unsigned to_reverse) const +{ + return compute_map (dh, max_n, + mirror, reverse_orientation, to_reverse, + d_rules ()); +} + +class twin_arrows_P_rules : public map_rules +{ +public: + twin_arrows_P_rules () { } + twin_arrows_P_rules (const twin_arrows_P_rules &); // doesn't exist + ~twin_arrows_P_rules () { } + + twin_arrows_P_rules &operator = (const twin_arrows_P_rules &); // doesn't exist + + void map (basedvector, 1> &out, + resolution_diagram_builder &rdb) const + { + rdb.rd.twin_arrows_P (out); + } +}; + +template mod_map +cube::compute_twin_arrows_P (bool mirror, + bool reverse_orientation, + unsigned to_reverse) const +{ + assert (kd.marked_edge); + + mod_map one (khC, 1); + mod_map X = compute_X (kd.marked_edge); + mod_map preP = compute_map (0, 0, + mirror, reverse_orientation, to_reverse, + twin_arrows_P_rules ()); + + return X.compose (one + preP); +} + +template mod_map +cube::compute_nu () const +{ + assert (!markedp_only); + + mod_map nu (khC); + for (unsigned i = 0, j = 1; i < n_resolutions; i ++) + { + smoothing s (kd, smallbitset (n_crossings, i)); + for (unsigned j = 0; j < s.num_monomials (); j ++) + { + for (unsigned k = 1; k <= s.n_circles; k ++) + { + if (!unsigned_bittest (j, k)) + { + unsigned j2 = unsigned_bitset (j, k); + nu[generator (i, j)].muladd (1, generator (i, j2)); + } + } + } + } + nu.check_grading (0, 2); + assert (nu.compose (nu) == 0); + + return nu; +} + +template mod_map +cube::compute_X (unsigned p) const +{ + assert (!markedp_only); + + /* define Khovanov's map X */ + mod_map X (khC); + for (unsigned i = 0, j = 1; i < n_resolutions; i ++) + { + smoothing r (kd, smallbitset (n_crossings, i)); + for (unsigned j = 0; j < r.num_monomials (); j ++) + { + unsigned s = r.edge_circle[p]; + if (unsigned_bittest (j, s)) + { + unsigned j2 = unsigned_bitclear (j, s); + X[generator (i, j)].muladd (1, generator (i, j2)); + } + } + } + assert (X.compose (X) == 0); + + return X; +} + +template mod_map +cube::H_i (unsigned c) +{ + mod_map H_c (khC, 0); + for (unsigned i = 0; i < n_resolutions; i ++) + { + if (unsigned_bittest (i, c)) + continue; + + smoothing from_s (kd, smallbitset (n_crossings, i)); + + unsigned i2 = unsigned_bitset (i, c); + smoothing to_s (kd, smallbitset (n_crossings, i2)); + + basedvector from_circle_edge_rep (from_s.n_circles); + for (unsigned j = 1; j <= kd.num_edges (); j ++) + from_circle_edge_rep[from_s.edge_circle[j]] = j; + + unsigned from = from_s.crossing_from_circle (kd, c), + to = from_s.crossing_to_circle (kd, c); + for (unsigned j = 0; j < from_s.num_monomials (); j ++) + { + unsigned j2 = 0; + for (unsigned_const_iter k = j; k; k ++) + { + unsigned s = k.val (); + j2 = unsigned_bitset (j2, to_s.edge_circle[from_circle_edge_rep[s]]); + } + + linear_combination &v = H_c[generator (i, j)]; + if (from == to + && unsigned_bittest (j, from)) + { + j2 = unsigned_bitset (j2, + to_s.crossing_from_circle (kd, c)); + j2 = unsigned_bitset (j2, + to_s.crossing_to_circle (kd, c)); + v.muladd (1, generator (i2, j2)); + } + else if (from != to + && !unsigned_bittest (j, from) + && !unsigned_bittest (j, to)) + { + assert (! unsigned_bittest (j2, + to_s.crossing_from_circle (kd, c))); + v.muladd (1, generator (i2, j2)); + } + } + } + H_c.check_grading (grading (1, 2)); + + return H_c; +} + +template void +cube::check_reverse_crossings () +{ + for (unsigned c = 1; c <= n_crossings; c ++) + { + mod_map H_c = H_i (c); + + mod_map d = compute_d (2, 0, 0, 0, 0, 0), + r_d = compute_d (2, 0, 0, 0, 0, c); + + mod_map d_1 = d.graded_piece (1, 0); + assert (d_1 == r_d.graded_piece (1, 0)); + assert (d_1.compose (d_1) == 0); + + mod_map d_2 = d.graded_piece (2, 2), + r_d_2 = r_d.graded_piece (2, 2); + assert (d_1.compose (d_2) == d_2.compose (d_1)); + assert (d_1.compose (r_d_2) == r_d_2.compose (d_1)); + + assert (d_2 + r_d_2 == H_c.compose (d_1) + d_1.compose (H_c)); + } +} + +template void +cube::check_reverse_orientation () +{ + mod_map d = compute_d (2, 0, 0, 0, 0, 0), + n_d = compute_d (2, 0, 0, 0, 1, 0); + + mod_map d_1 = d.graded_piece (1, 0); + assert (d_1 == n_d.graded_piece (1, 0)); + assert (d_1.compose (d_1) == 0); + + mod_map d_2 = d.graded_piece (2, 2), + n_d_2 = n_d.graded_piece (2, 2); + + // in fact, Szabo's d_2 matches on the nose + assert (d_2 == n_d_2); +} + +template +cube::cube (knot_diagram &kd_, bool markedp_only_) + : markedp_only(markedp_only_), + kd(kd_), + n_crossings(kd.n_crossings), + n_resolutions(((unsigned)1) << n_crossings), + n_generators(0), + resolution_circles(n_resolutions), + resolution_generator1(n_resolutions) +{ + // printf ("%% %s\n", kd.name.c_str ()); + + // printf ("smoothings:\n"); + + smoothing s (kd); + for (unsigned i = 0; i < n_resolutions; i ++) + { + smallbitset state (n_crossings, i); + s.init (kd, state); + resolution_circles[i] = s.n_circles; + resolution_generator1[i] = n_generators + 1; + n_generators += s.num_generators (markedp_only); + +#if 0 + s.show_self (kd, state); + newline (); +#endif + } + + // printf ("(cube) n_generators = %d\n", n_generators); + khC = new base_module > (khC_generators (*this)); +} + +template unsigned +cube::generator (unsigned i, unsigned j) const +{ + if (markedp_only) + { + smoothing s (kd, smallbitset (n_crossings, i)); + unsigned p = s.edge_circle[kd.marked_edge]; + assert (!unsigned_bittest (j, p)); + return resolution_generator1[i] + unsigned_discard_bit (j, p); + } + else + return resolution_generator1[i] + j; +} + +template pair +cube::generator_state_monomial (unsigned g) const +{ + unsigned i = resolution_generator1.upper_bound (g) - 1; + assert (g >= resolution_generator1[i] + && (i + 1 >= n_resolutions + || g < resolution_generator1[i + 1])); + return pair (i, g - resolution_generator1[i]); +} + +template grading +cube::compute_generator_grading (unsigned g) const +{ + pair sm = generator_state_monomial (g); + return compute_state_monomial_grading (sm.first, sm.second); +} + +template grading +cube::compute_state_monomial_grading (unsigned state, unsigned monomial) const +{ + grading r; + r.h = unsigned_bitcount (state) - kd.nminus; + r.q = 2 * unsigned_bitcount (monomial) - resolution_circles[state] + + unsigned_bitcount (state) + kd.nplus - 2 * kd.nminus; + + /* reduced-only is shifted up 1 in q-grading */ + if (markedp_only) + r.q ++; + + return r; +} + +template ptr > +cube::compute_kh () const +{ + // display ("khC:\n", *khC); + + mod_map d = compute_d (1, 0, 0, 0, 0); + + chain_complex_simplifier s (khC, d, 1); + // display ("s.new_C:\n", *s.new_C); + + return s.new_d.homology (); +} + +template void +cube::show_state (unsigned state) const +{ + for (unsigned i = n_crossings; i >= 1; i --) + printf (unsigned_bittest (state, i) ? "1" : "0"); +} + +template void +cube::show_state_monomial (unsigned state, unsigned monomial) const +{ + show_state (state); + printf (":"); + smoothing s (kd, smallbitset (n_crossings, state)); + char c = 'a'; + for (unsigned i = 1; i <= s.n_circles; i ++, c ++) + { + if (!unsigned_bittest (monomial, i)) + printf ("%c", c); + } +} + +template void +cube::display_self () const +{ + for (unsigned i = 0, j = 1; i < n_resolutions; i ++) + { + smoothing s (kd, smallbitset (n_crossings, i)); + + printf (" %03d: ", i); + s.show_self (kd, smallbitset (n_crossings, i)); + newline (); + } + + // khC->display_self (); + // d.display_self (); +} + +template mod_map::R> +twisted_cube::compute_twisted_map (basedvector edge_weight, + unsigned dh, unsigned to_reverse, + const twisted_map_rules &rules) const +{ + mod_map r (c.khC); + + knot_diagram &kd = c.kd; + unsigned n_crossings = c.n_crossings; + unsigned n_resolutions = c.n_resolutions; + + smoothing from_s (kd); + smoothing to_s (kd); + resolution_diagram_builder rdb; + + ullmanset<1> free_circles (max_circles); + ullmanset<1> from_circles (max_circles); + + basedvector >, 1> out; + for (unsigned fromstate = 0; fromstate < n_resolutions; fromstate ++) + { + unsigned n_zerocrossings = n_crossings - unsigned_bitcount (fromstate); + unsigned n_cobordisms = ((unsigned)1) << n_zerocrossings; + + from_s.init (kd, smallbitset (n_crossings, fromstate)); + + unionfind<1> u (from_s.n_circles); + + basedvector from_circle_edge_rep (from_s.n_circles); + for (unsigned j = 1; j <= kd.num_edges (); j ++) + from_circle_edge_rep[from_s.edge_circle[j]] = j; + + for (unsigned j = 0; j < n_cobordisms; j ++) + { + if (dh && unsigned_bitcount (j) != dh) + continue; + + unsigned tostate = unsigned_pack (n_crossings, fromstate, j); + unsigned crossings = tostate & ~fromstate; + + int sign = 1; + for (unsigned i = 1; i <= n_crossings; i ++) + { + if (unsigned_bittest (crossings, i)) + break; + if (unsigned_bittest (fromstate, i)) + sign *= -1; + } + // printf ("fromstate = %d, tostate = %d, sign = %d\n", fromstate, tostate, sign); + + u.clear (); + from_circles.clear (); + + for (unsigned_const_iter k = crossings; k; k ++) + { + unsigned c = k.val (); + + unsigned from = from_s.ept_circle (kd, kd.crossings[c][1]), + to = from_s.ept_circle (kd, kd.crossings[c][3]); + from_circles += from; + from_circles += to; + u.join (from, to); + } + if (from_s.n_circles - from_circles.card () + 1 != u.num_sets ()) + continue; + + to_s.init (kd, smallbitset (n_crossings, tostate)); + rdb.init (kd, + smallbitset (n_crossings, fromstate), from_s, + smallbitset (n_crossings, tostate), to_s, + smallbitset (n_crossings, crossings)); + if (to_reverse) + rdb.reverse_crossing (kd, from_s, to_s, to_reverse); + + // display (rdb.rd); + + out.resize (0); + rules.map (out, rdb); + if (out.size () == 0) + continue; + + free_circles.clear (); + for (unsigned i = 1; i <= from_s.n_circles; i ++) + { + if (! (rdb.gl_starting_circles % i)) + free_circles.push (i); + } + unsigned n_free_circles = free_circles.card (); + unsigned n_free_monomials = ((unsigned)1) << n_free_circles; + + for (unsigned i = 0; i < n_free_monomials; i ++) + { + unsigned m_from = 0, + m_to = 0; + + for (unsigned_const_iter jj = i; jj; jj ++) + { + unsigned s = free_circles.nth (jj.val () - 1); + m_from = unsigned_bitset (m_from, s); + m_to = unsigned_bitset (m_to, to_s.edge_circle[from_circle_edge_rep[s]]); + } + + for (unsigned j = 1; j <= out.size (); j ++) + { + unsigned v_from = m_from, + v_to = m_to; + + unsigned l_from = out[j].first, + l_to = out[j].second; + for (unsigned_const_iter kk = l_from; kk; kk ++) + { + unsigned s = rdb.gl_starting_circles.nth (kk.val () - 1); + v_from = unsigned_bitset (v_from, s); + } + for (unsigned_const_iter kk = l_to; kk; kk ++) + { + unsigned s = rdb.gl_ending_circles.nth (kk.val () - 1); + v_to = unsigned_bitset (v_to, s); + } + + int w = 0; + for (set_const_iter le = out[j].third; le; le ++) + { + for (set_const_iter ge = rdb.lg_edges[le.val ()]; ge; ge ++) + w += edge_weight[ge.val ()]; + } + + if (c.markedp_only) + { + unsigned p = from_s.edge_circle[kd.marked_edge]; + if (unsigned_bittest (v_from, p)) + continue; + assert (!unsigned_bittest (v_to, p)); + } + + // ??? sign + r[c.generator (fromstate, v_from)].muladd + (polynomial (1) + polynomial (1, w), + c.generator (tostate, v_to)); + } + } + } + } + + return r; +} + +class twisted_barE_rules : public twisted_map_rules +{ +public: + twisted_barE_rules () { } + twisted_barE_rules (const twisted_barE_rules &); // doesn't exist + ~twisted_barE_rules () { } + + twisted_barE_rules &operator = (const twisted_barE_rules &); // doesn't exist + + void map (basedvector >, 1> &out, + resolution_diagram_builder &rdb) const + { + rdb.rd.twisted_barE (out); + } +}; + +template mod_map::R> +twisted_cube::compute_twisted_barE (basedvector edge_weight, + unsigned dh, unsigned to_reverse) const +{ + return compute_twisted_map (edge_weight, + dh, to_reverse, + twisted_barE_rules ()); +} + +template mod_map::R> +twisted_cube::twisted_d0 (basedvector edge_weight) const +{ + mod_map d0 (c.khC); + for (unsigned i = 0, j = 1; i < c.n_resolutions; i ++) + { + smoothing r (c.kd, smallbitset (c.n_crossings, i)); + + unsigned marked_s = c.markedp_only + ? r.edge_circle[c.kd.marked_edge] + : 0; + + for (unsigned j = 0; j < r.num_monomials (); j ++) + { + if (c.markedp_only + && unsigned_bittest (j, marked_s)) + continue; + + for (unsigned s = 1; s <= r.n_circles; s ++) + { + if (unsigned_bittest (j, s)) + { + int w = 0; + + for (unsigned k = 1; k <= c.kd.num_edges (); k ++) + if (r.edge_circle[k] == s) + w += edge_weight[k]; + + unsigned j2 = unsigned_bitclear (j, s); + d0[c.generator (i, j)].muladd (polynomial (1) + polynomial (1, w), + c.generator (i, j2)); + } + } + } + } + return d0; +} diff --git a/dt_code.cpp b/dt_code.cpp new file mode 100644 index 0000000..b58d0c6 --- /dev/null +++ b/dt_code.cpp @@ -0,0 +1,54 @@ + +#include + +dt_code::dt_code (const std::string &name_, const char *p) + : name(name_) +{ + unsigned n_crossings = alpha_to_int (*p++); + + unsigned n_components = alpha_to_int (*p++); + even_labels = basedvector, 1> (n_components); + + for (unsigned i = 1; i <= n_components; i ++) + even_labels[i] = basedvector (alpha_to_int (*p++)); + + for (unsigned i = 1; i <= n_components; i ++) + { + for (unsigned j = 1; j <= even_labels[i].size (); j ++) + even_labels[i][j] = alpha_to_int (*p++) * 2; + } + if (*p == '\n') + p++; + assert (*p == 0); + + assert (num_crossings () == n_crossings); +} + +unsigned +dt_code::num_crossings () const +{ + unsigned n = 0; + for (unsigned i = 1; i <= even_labels.size (); i ++) + n += even_labels[i].size (); + return n; +} + +void +dt_code::display_self () const +{ + printf ("dt_code %s [", name.c_str ()); + for (unsigned i = 1; i <= even_labels.size (); i ++) + { + if (i > 1) + printf (", "); + printf ("["); + for (unsigned j = 1; j <= even_labels[i].size (); j ++) + { + if (j > 1) + printf (", "); + printf ("%d", even_labels[i][j]); + } + printf ("]"); + } + printf ("]\n"); +} diff --git a/dt_code.h b/dt_code.h new file mode 100644 index 0000000..8c6f4f4 --- /dev/null +++ b/dt_code.h @@ -0,0 +1,49 @@ + +/* Dowker and Thistlethwaite codes */ + +/* minus = over */ + +class dt_code +{ + public: + std::string name; + basedvector, 1> even_labels; + + public: + dt_code (); + dt_code (const std::string &name_, unsigned n_crossings, int even_labels_ar[]) + : name(name_), even_labels(1) + { + even_labels[1] = basedvector (n_crossings); + for (unsigned i = 0; i < n_crossings; i ++) + even_labels[1][i + 1] = even_labels_ar[i]; + } + dt_code (const std::string &name_, const basedvector &even_labels_) + : name(name_), even_labels(1) + { + even_labels[1] = even_labels_; + } + dt_code (const std::string &name_, const basedvector, 1> &even_labels_) + : name(name_), even_labels(even_labels_) + { + } + dt_code (const std::string &name_, const char *p); + + dt_code (const dt_code &dt) + : name(dt.name), even_labels(dt.even_labels) + { } + ~dt_code () { } + + dt_code &operator = (const dt_code &dt) + { + name = dt.name; + even_labels = dt.even_labels; + return *this; + } + + unsigned num_crossings () const; + unsigned num_components () const { return even_labels.size (); } + + void show_self () const { printf ("dt_code %s", name.c_str ()); } + void display_self () const; +}; diff --git a/gss.cpp b/gss.cpp new file mode 100644 index 0000000..3f8f28d --- /dev/null +++ b/gss.cpp @@ -0,0 +1,126 @@ + +#include + +const char *program_name; + +void +usage () +{ + printf ("usage: %s [-f] [-h] [-o ] [-v] \n", program_name); + printf (" compute Szabo's geometric spectral sequence for knot \n"); + printf ("options:\n"); + printf (" -f : compute unreduced spectral sequence\n"); + printf (" (reduced is the default)\n"); + printf (" -h : print this message\n"); + printf (" -o : write output to \n"); + printf (" (stdout is the default)\n"); + printf (" -v : verbose: report progress as the computation proceeds\n"); + printf (" can be one of:\n"); + printf (" - the unknot, e.g. U or unknot\n"); + printf (" - a torus knot, e.g. T(2,3)\n"); + printf (" - a Rolfsen table knot, e.g. 10_124\n"); + printf (" - a Hoste-Thistlethwaite-Weeks knot, e.g. 11a12 or 12n214\n"); + printf (" - a Morwen Thistlethwaite link, e.g. L9a21 or L14n7631\n"); + printf (" - a planar diagram, e.g.\n"); + printf (" PD[X[1, 4, 2, 5], X[3, 6, 4, 1], X[5, 2, 6, 3]] or\n"); + printf (" PD[[1, 4, 2, 5], [3, 6, 4, 1], [5, 2, 6, 3]]\n"); + printf (" - a Dowker-Thistlethwaite code, e.g.\n"); + printf (" DTCode[6,8,2,4],\n"); + printf (" DT[dadbcda] or\n"); + printf (" DT[{6, -8}, {-10, 12, -14, 2, -4}]\n"); + printf (" - a braid, e.g. BR[2, {-1, -1, -1}]\n"); +} + +int +main (int argc, char **argv) +{ + program_name = argv[0]; + + bool reduced = 1; + const char *knot = 0; + const char *file = 0; + + for (int i = 1; i < argc; i ++) + { + if (argv[i][0] == '-') + { + if (strcmp (argv[i], "-f") == 0) + reduced = 0; + else if (strcmp (argv[i], "-h") == 0) + { + usage (); + exit (EXIT_SUCCESS); + } + else if (!strcmp (argv[i], "-v")) + verbose = 1; + else if (!strcmp (argv[i], "-o")) + { + i ++; + if (i == argc) + { + fprintf (stderr, "error: missing argument to option `-o'\n"); + exit (EXIT_FAILURE); + } + file = argv[i]; + } + else + { + fprintf (stderr, "error: unknown argument `%s'\n", argv[1]); + usage (); + exit (EXIT_FAILURE); + } + } + else + { + if (knot) + { + fprintf (stderr, "error: too many arguments\n"); + usage (); + exit (EXIT_FAILURE); + } + else + knot = argv[i]; + } + } + + if (!knot) + { + fprintf (stderr, "error: missing argument\n"); + usage (); + exit (EXIT_FAILURE); + } + + FILE *outfp = 0; + if (file) + { + outfp = fopen (file, "w"); + if (!outfp) + { + stderror ("fopen: %s", file); + exit (EXIT_FAILURE); + } + } + else + outfp = stdout; + + knot_diagram d = parse_knot (knot); + d.marked_edge = 1; + cube c (d, reduced); + + fprintf (outfp, "\\documentclass{article}\n\ +\\usepackage{amsmath, tikz, hyperref}\n\ +\\DeclareMathOperator{\\rank}{rank}\n\ +\\setlength{\\parindent}{0pt}\n\ +\n\ +\\begin{document}\n\ +\\pagestyle{empty}\n\ +\\tableofcontents\n\ +\\sloppy\n"); + + compute_szabo_sseq (c).texshow (outfp, d.name); + + fprintf (outfp, "\\end{document}\n"); + + if (file) + fclose (outfp); +} diff --git a/knot_diagram.cpp b/knot_diagram.cpp new file mode 100644 index 0000000..777a267 --- /dev/null +++ b/knot_diagram.cpp @@ -0,0 +1,809 @@ + +#include + +knot_diagram::knot_diagram (const planar_diagram &pd) + : name(pd.name), + n_crossings(pd.crossings.size ()), + marked_edge(0), + crossings(n_crossings), + ept_crossing(num_epts ()), + ept_index(num_epts ()), + nminus(0), nplus(0) +{ + basedvector, 1>, 1> edge_ci (num_edges ()); + for (unsigned c = 1; c <= n_crossings; c ++) + { + for (unsigned i = 1; i <= 4; i ++) + { + unsigned e = pd.crossings[c][i]; + edge_ci[e].append (pair (c, i)); + } + + crossings[c] = basedvector (4); + } + + smallbitset done (num_edges ()); + for (unsigned c0 = 1; c0 <= n_crossings; c0 ++) + { + for (unsigned i0 = 1; i0 <= 2; i0 ++) + { + unsigned e = pd.crossings[c0][i0]; + if (done % e) + continue; + + for (unsigned c = c0, i = i0;;) + { + crossings[c][i] = edge_to_ept (e); + done.push (e); + ept_crossing[edge_to_ept (e)] = c; + ept_index[edge_to_ept (e)] = i; + + i = add_base1_mod4 (i, 2); + e = pd.crossings[c][i]; + crossings[c][i] = edge_from_ept (e); + ept_crossing[edge_from_ept (e)] = c; + ept_index[edge_from_ept (e)] = i; + + if (edge_ci[e][1].first == c + && edge_ci[e][1].second == i) + { + c = edge_ci[e][2].first; + i = edge_ci[e][2].second; + } + else + { + assert (edge_ci[e][2].first == c && edge_ci[e][2].second == i); + c = edge_ci[e][1].first; + i = edge_ci[e][1].second; + } + + if (c == c0 && i == i0) + break; + } + } + } + assert (done.card () == num_edges ()); + + calculate_smoothing_orientation (); + calculate_nminus_nplus (); +} + +class dt_layout +{ +public: + knot_diagram &kd; + + unsigned n_components; + basedvector comp_first_edge, + comp_last_edge; + basedvector edge_to_crossing; + smallbitset edge_to_under; + smallbitset placed; + +public: + dt_layout (const dt_code &dt, knot_diagram &kd_); + dt_layout (const dt_layout &); // doesn't exist + ~dt_layout () { } + + dt_layout &operator = (const dt_layout &); // doesn't exist + + unsigned find_crossing (unsigned prevc, unsigned previ, unsigned target, + bool under, unsigned dir); + + bool layout_2 (unsigned e, + unsigned prevc, unsigned previ, + unsigned c, unsigned i); + bool layout_1 (unsigned e, + unsigned prevc, unsigned previ); + unsigned comp_next_edge (unsigned e) const; + + void layout (); +}; + +dt_layout::dt_layout (const dt_code &dt, knot_diagram &kd_) + : kd(kd_), + n_components(dt.num_components ()), + comp_first_edge(n_components), + comp_last_edge(n_components), + edge_to_crossing(kd.num_edges ()), + edge_to_under(kd.num_edges ()), + placed(kd.n_crossings) +{ + unsigned k = 1; + for (unsigned i = 1; i <= dt.even_labels.size (); i ++) + { + comp_first_edge[i] = 2 * k - 1; + comp_last_edge[i] = 2 * (k + dt.even_labels[i].size () - 1); + for (unsigned j = 1; j <= dt.even_labels[i].size (); j ++, k ++) + { + int as = dt.even_labels[i][j]; + unsigned a = abs (as), + b = 2 * k - 1; + if (as > 0) + edge_to_under.push (a); + else + edge_to_under.push (b); + + edge_to_crossing[a] = edge_to_crossing[b] = k; + } + } +} + +unsigned +dt_layout::find_crossing (unsigned prevc, unsigned previ, unsigned target, + bool under, unsigned dir) +{ + assert (!kd.crossings[prevc][previ]); + assert (placed % prevc); + + unsigned c = prevc, + i = add_base1_mod4 (previ, dir); + for (;;) + { + if (c == prevc && i == previ) + return 0; + + if (c == target && under == (i == 1 || i == 3) && kd.crossings[c][i] == 0) + return i; + unsigned p = kd.crossings[c][i]; + if (p) + { + unsigned p2 = kd.edge_other_ept (p); + c = kd.ept_crossing[p2]; + i = kd.ept_index[p2]; + } + i = add_base1_mod4 (i, dir); + } +} + +unsigned +dt_layout::comp_next_edge (unsigned e) const +{ + for (unsigned comp = 1; comp <= n_components; comp ++) + { + if (comp_first_edge[comp] <= e + && e <= comp_last_edge[comp]) + { + if (e == comp_last_edge[comp]) + return comp_first_edge[comp]; + else + return e + 1; + } + } + abort (); +} + +bool +dt_layout::layout_2 (unsigned e, + unsigned prevc, unsigned previ, + unsigned c, unsigned i) +{ + assert (placed % prevc); + assert (placed % c); + + unsigned from = kd.edge_from_ept (e), + to = kd.edge_to_ept (e); + + assert (kd.crossings[prevc][previ] == 0); + kd.crossings[prevc][previ] = from; + kd.ept_crossing[from] = prevc; + kd.ept_index[from] = previ; + + assert (kd.crossings[c][i] == 0); + kd.crossings[c][i] = to; + kd.ept_crossing[to] = c; + kd.ept_index[to] = i; + + if (layout_1 (comp_next_edge (e), c, add_base1_mod4 (i, 2))) + return 1; + + kd.crossings[prevc][previ] = 0; + kd.crossings[c][i] = 0; + kd.ept_crossing[from] = kd.ept_crossing[to] = 0; + kd.ept_index[from] = kd.ept_index[to] = 0; + return 0; +} + +bool +dt_layout::layout_1 (unsigned e, unsigned prevc, unsigned previ) +{ + if (kd.crossings[prevc][previ]) + { + unsigned from = kd.edge_from_ept (e); + + assert (kd.crossings[prevc][previ] == from); + assert (kd.ept_crossing[from] == prevc); + assert (kd.ept_index[from] == previ); + + for (unsigned e = 1; e <= kd.num_edges (); e ++) + { + unsigned to = kd.edge_to_ept (e); + unsigned prevc = edge_to_crossing[e]; + if (placed % prevc + && !kd.ept_crossing[to]) + { + unsigned previ1 = edge_to_under % e ? 3 : 4; + if (layout_1 (comp_next_edge (e), prevc, previ1)) + return 1; + + unsigned previ2 = edge_to_under % e ? 1 : 2; + return layout_1 (comp_next_edge (e), prevc, previ2); + } + } + + /* done! */ + return 1; + } + + unsigned c = edge_to_crossing[e]; + if (placed % c) + { + unsigned i = find_crossing (prevc, previ, c, edge_to_under % e, 1); + if (i && layout_2 (e, prevc, previ, c, i)) + return 1; + + unsigned i2 = find_crossing (prevc, previ, c, edge_to_under % e, 3); + return i2 && layout_2 (e, prevc, previ, c, i2); // return i && ... ?? + } + else + { + unsigned i = (edge_to_under % e) ? 1 : 2; + placed.push (c); + if (!layout_2 (e, prevc, previ, c, i)) + { + placed -= c; + return 0; + } + else + return 1; + } +} + +void +dt_layout::layout () +{ + unsigned last = comp_last_edge[1]; + unsigned prevc = edge_to_crossing[last]; + unsigned previ = (edge_to_under % last) ? 3 : 4; + + placed.push (prevc); + bool b = layout_1 (comp_first_edge[1], prevc, previ); + assert (b); + assert (placed.card () == kd.n_crossings); +} + +knot_diagram::knot_diagram (const dt_code &dt) + : name(dt.name), + n_crossings(dt.num_crossings ()), + marked_edge(0), + crossings(n_crossings), + ept_crossing(num_epts ()), + ept_index(num_epts ()), + nminus(0), nplus(0) +{ + for (unsigned i = 1; i <= n_crossings; i ++) + { + basedvector v (4); + v[1] = v[2] = v[3] = v[4] = 0; + crossings[i] = v; + } + + dt_layout layout (dt, *this); + layout.layout (); + + calculate_nminus_nplus (); + calculate_smoothing_orientation (); +} + +knot_diagram::knot_diagram (mirror, const knot_diagram &kd) + : name("mirror(" + kd.name + ")"), + n_crossings(kd.n_crossings), + marked_edge(0), + crossings(n_crossings), + ept_crossing(num_epts ()), + ept_index(num_epts ()), + nminus(0), nplus(0) +{ + for (unsigned i = 1; i <= n_crossings; i ++) + { + basedvector v (4); + v[1] = kd.crossings[i][1]; + v[2] = kd.crossings[i][4]; + v[3] = kd.crossings[i][3]; + v[4] = kd.crossings[i][2]; + crossings[i] = v; + } + for (unsigned i = 1; i <= n_crossings; i ++) + { + for (unsigned j = 1; j <= 4; j ++) + { + unsigned c = crossings[i][j]; + ept_crossing[c] = i; + ept_index[c] = j; + } + } + + calculate_smoothing_orientation (); + calculate_nminus_nplus (); + assert (nminus == kd.nplus); + assert (nplus == kd.nminus); +} + +void +knot_diagram::check_crossings () +{ + for (unsigned i = 1; i <= n_crossings; i ++) + { + for (unsigned j = 1; j <= 4; j ++) + { + unsigned p = crossings[i][j]; + + assert (ept_crossing[p] == i); + assert (ept_index[p] == j); + } + } +} + +void +knot_diagram::rotate_crossing (unsigned c) +{ + std::swap (crossings[c][1], crossings[c][3]); + std::swap (crossings[c][2], crossings[c][4]); + for (unsigned j = 1; j <= 4; j ++) + { + unsigned p = crossings[c][j]; + ept_index[p] = j; + } +} + +knot_diagram::knot_diagram (connect_sum, + const knot_diagram &d1, + const knot_diagram &d2) + : name(d1.name + "\\#" + d2.name), + n_crossings(d1.n_crossings + d2.n_crossings), + marked_edge(0), + crossings(n_crossings), + ept_crossing(num_epts ()), + ept_index(num_epts ()), + nminus(0), nplus(0) +{ + for (unsigned i = 1; i <= d1.n_crossings; i ++) + crossings[i] = basedvector (COPY, d1.crossings[i]); + + for (unsigned i = 1; i <= d2.n_crossings; i ++) + { + basedvector v (4); + for (unsigned j = 1; j <= 4; j ++) + v[j] = d1.num_epts () + d2.crossings[i][j]; + crossings[d1.n_crossings + i] = v; + } + + unsigned p1 = d1.edge_from_ept (1); + crossings[d1.ept_crossing[p1]][d1.ept_index[p1]] + = edge_from_ept (d1.num_edges () + 1); + + unsigned p2 = d2.edge_from_ept (1); + crossings[d1.n_crossings + d2.ept_crossing[p2]][d2.ept_index[p2]] + = d1.edge_from_ept (1); + + for (unsigned i = 1; i <= n_crossings; i ++) + { + for (unsigned j = 1; j <= 4; j ++) + { + unsigned p = crossings[i][j]; + ept_crossing[p] = i; + ept_index[p] = j; + } + } + +#ifndef NDEBUG + check_crossings (); +#endif + + orient (); + calculate_smoothing_orientation (); + calculate_nminus_nplus (); + +} + +knot_diagram::knot_diagram (const std::string &name_, unsigned n_crossings_, unsigned crossings_ar[][4]) + : name(name_), + n_crossings(n_crossings_), + marked_edge(0), + crossings(n_crossings), + ept_crossing(num_epts ()), + ept_index(num_epts ()), + nminus(0), nplus(0) +{ + for (unsigned i = 1; i <= n_crossings; i ++) + { + basedvector v (4); + v[1] = crossings_ar[i - 1][0]; + v[2] = crossings_ar[i - 1][1]; + v[3] = crossings_ar[i - 1][2]; + v[4] = crossings_ar[i - 1][3]; + crossings[i] = v; + for (unsigned j = 1; j <= 4; j ++) + { + unsigned p = crossings[i][j]; + ept_crossing[p] = i; + ept_index[p] = j; + } + } + + calculate_smoothing_orientation (); + calculate_nminus_nplus (); +} + +knot_diagram::knot_diagram (const std::string &name_, const basedvector, 1> &crossings_) + : name(name_), + n_crossings(crossings_.size ()), + marked_edge(0), + crossings(crossings_), + ept_crossing(num_epts ()), + ept_index(num_epts ()), + nminus(0), nplus(0) +{ + for (unsigned i = 1; i <= n_crossings; i ++) + { + for (unsigned j = 1; j <= 4; j ++) + { + unsigned p = crossings[i][j]; + ept_crossing[p] = i; + ept_index[p] = j; + } + } + + calculate_smoothing_orientation (); + calculate_nminus_nplus (); +} + +void +knot_diagram::orient () +{ + bitset done (num_edges ()); + for (unsigned i = 1; i <= num_edges (); i ++) + { + if (done % i) + continue; + + unsigned p = edge_to_ept (i); + for (;;) + { + unsigned e = ept_edge (p); + done.push (e); + if (is_from_ept (p)) + { + unsigned e_from = edge_from_ept (e), + e_to = edge_to_ept (e), + c_from = ept_crossing[e_from], + c_to = ept_crossing[e_to], + j_from = ept_index[e_from], + j_to = ept_index[e_to]; + ept_crossing[e_to] = c_from; + ept_index[e_to] = j_from; + ept_crossing[e_from] = c_to; + ept_index[e_from] = j_to; + crossings[c_from][j_from] = e_to; + crossings[c_to][j_to] = e_from; + + p = e_to; + } + + p = crossings[ept_crossing[p]][add_base1_mod4 (ept_index[p], 2)]; + if (ept_edge (p) == i) + break; + p = edge_other_ept (p); + } + } + assert (done.card () == num_edges ()); + +#ifndef NDEBUG + check_crossings (); +#endif +} + +void +knot_diagram::calculate_nminus_nplus () +{ + assert (nplus == 0 && nminus == 0); + + for (unsigned i = 1; i <= n_crossings; i ++) + { + if (is_to_ept (crossings[i][1]) == is_to_ept (crossings[i][4])) + nplus ++; + else + nminus ++; + } +} + +void +knot_diagram::calculate_smoothing_orientation () +{ + edge_smoothing_oriented = set (); + + set done; + vector q; + + for (unsigned i = 1; i <= num_edges (); i ++) + { + if (done % i) + continue; + + edge_smoothing_oriented.push (i); + done.push (i); + q.append (i); + + while (q.size () != 0) + { + unsigned e = q.pop (); + assert (done % e); + + unsigned p = edge_smoothing_to_ept (e); + + unsigned r = resolve_next_ept (p, 0); + unsigned f = ept_edge (r); + if (done % f) + assert (is_smoothing_from_ept (r)); + else + { + if (is_from_ept (r)) + edge_smoothing_oriented.push (f); + done.push (f); + q.append (f); + } + + unsigned r2 = resolve_next_ept (p, 1); + unsigned f2 = ept_edge (r2); + if (done % f2) + assert (is_smoothing_from_ept (r2)); + else + { + if (is_from_ept (r2)) + edge_smoothing_oriented.push (f2); + done.push (f2); + q.append (f2); + } + } + } + assert (done.card () == num_edges ()); +} + +unsigned +knot_diagram::resolve_next_ept (unsigned p, bool resolution) const +{ + static unsigned lookup[2][4] = { { 2, 1, 4, 3 }, { 4, 3, 2, 1 } }; + + unsigned c = ept_crossing[p], + i = ept_index[p]; + assert (i >= 1 && i <= 4); + i = lookup[(int)resolution][i - 1]; + return crossings[c][i]; +} + +static unsigned crossing_index_corner (unsigned c, unsigned i) +{ + return (c - 1) * 4 + i; +} + +static unsigned corner_crossing (unsigned x) +{ + return (x - 1) / 4 + 1; +} + +static unsigned corner_index (unsigned x) +{ + return ((x - 1) % 4) + 1; +} + +directed_multigraph +knot_diagram::black_graph (basedvector &bg_edge_height) const +{ + unsigned n_corners = n_crossings * 4; + +#if 1 + for (unsigned c = 1; c <= n_crossings; c ++) + for (unsigned j = 1; j <= 4; j ++) + { + unsigned x = crossing_index_corner (c, j); + assert (x >= 1 && x <= n_corners); + + assert (corner_crossing (x) == c); + assert (corner_index (x) == j); + } + + for (unsigned x = 1; x <= n_corners; x ++) + { + unsigned c = corner_crossing (x); + assert (c >= 1 && c <= n_crossings); + + unsigned j = corner_index (x); + assert (j >= 1 && j <= 4); + + assert (crossing_index_corner (c, j) == x); + } +#endif + + unionfind<1> u (n_corners); + + unsigned n_edges = num_edges (); + for (unsigned i = 1; i <= n_edges; i ++) + { + unsigned i_from = edge_from_ept (i), + i_to = edge_to_ept (i); + + u.join (crossing_index_corner (ept_crossing (i_from), + ept_index (i_from)), + crossing_index_corner (ept_crossing (i_to), + add_base1_mod4 (ept_index (i_to), 3))); + u.join (crossing_index_corner (ept_crossing (i_from), + add_base1_mod4 (ept_index (i_from), 3)), + crossing_index_corner (ept_crossing (i_to), + ept_index (i_to))); + } + + ullmanset<1> present (n_corners); + for (unsigned i = 1; i <= n_corners; i ++) + present += u.find (i); + + basedvector edge_from, edge_to; + + basedvector edge_height; + for (unsigned i = 1; i <= n_crossings; i ++) + { + edge_from.append (present.position (u.find (crossing_index_corner (i, 1))) + 1); + edge_to.append (present.position (u.find (crossing_index_corner (i, 3))) + 1); + edge_height.append (1); + + edge_from.append (present.position (u.find (crossing_index_corner (i, 2))) + 1); + edge_to.append (present.position (u.find (crossing_index_corner (i, 4))) + 1); + edge_height.append (0); + } + + assert (u.num_sets () == present.card ()); + directed_multigraph bwg (u.num_sets (), edge_from, edge_to); + // display ("bwg:\n", bwg); + + assert (bwg.num_components () == 2); + + basedvector edge_inj, + vertex_inj; + + directed_multigraph bg = bwg.component (1, edge_inj, vertex_inj); + + bg_edge_height = basedvector (bg.num_edges ()); + for (unsigned i = 1; i <= bg.num_edges (); i ++) + bg_edge_height[i] = edge_height[edge_inj[i]]; + + return bg; +} + +basedvector, 1> +knot_diagram::planar_diagram_crossings () const +{ + unsigned n_edges = num_edges (); + + ullmanset<1> edges (n_edges); + for (unsigned e = 1; e <= n_edges; e ++) + { + if (edges % e) + continue; + + for (unsigned i = e;;) + { + edges.push (i); + + unsigned c = ept_crossing[edge_to_ept (i)], + j = ept_index[edge_to_ept (i)]; + unsigned j2 = add_base1_mod4 (j, 2); + + assert (is_from_ept (crossings[c][j2])); + + i = ept_edge (crossings[c][j2]); + if (i == e) + break; + } + } + assert (edges.card () == n_edges); + + basedvector, 1> r (n_crossings); + unsigned k = 0; + + bool first = 1; + for (unsigned i = 1; i <= n_edges; i ++) + { + unsigned e = edges.nth (i - 1); + + unsigned c = ept_crossing[edge_to_ept (e)], + j = ept_index[edge_to_ept (e)]; + if (j == 1) + { + basedvector v (4); + v[1] = edges.position (ept_edge (crossings[c][1])) + 1; + v[2] = edges.position (ept_edge (crossings[c][2])) + 1; + v[3] = edges.position (ept_edge (crossings[c][3])) + 1; + v[4] = edges.position (ept_edge (crossings[c][4])) + 1; + r[++ k] = v; + } + else if (j == 3) + { + basedvector v (4); + v[1] = edges.position (ept_edge (crossings[c][3])) + 1; + v[2] = edges.position (ept_edge (crossings[c][4])) + 1; + v[3] = edges.position (ept_edge (crossings[c][1])) + 1; + v[4] = edges.position (ept_edge (crossings[c][2])) + 1; + r[++ k] = v; + } + unsigned j2 = add_base1_mod4 (j, 2); + assert (is_from_ept (crossings[c][j2])); + + unsigned e2 = ept_edge (crossings[c][j2]); + unsigned i2 = edges.position (e2) + 1; +#if 0 + assert ((i == n_edges && i2 == 1) + || i2 == i + 1); +#endif + } + assert (k == n_crossings); + + return r; +} + +hash_t +knot_diagram::hash_self () const +{ + // ??? we can do better + unsigned n_loops = 0; + for (unsigned i = 1; i <= num_edges (); i ++) + { + if (ept_edge (edge_from_ept (i)) == ept_edge (edge_to_ept (i))) + n_loops ++; + } + + return hash_combine (hash (n_crossings), + hash (n_loops)); +} + +void +knot_diagram::show_ept (unsigned p) const +{ + unsigned e = ept_edge (p); + if (is_to_ept (p)) + printf (">"); + printf ("%d", e); + if (is_from_ept (p)) + printf (">"); +} + +void +knot_diagram::show_self () const +{ + printf ("knot_diagram %s", name.c_str ()); +} + +void +knot_diagram::display_self () const +{ + comment (); printf ("knot_diagram %s\n", name.c_str ()); + comment (); printf ("n_crossings = %d, n+ = %d, n- = %d\n", n_crossings, nplus, nminus); + if (marked_edge) + { + comment (); + printf ("marked_edge = %d\n", marked_edge); + } + + comment (); + for (unsigned i = 1; i <= crossings.size (); i ++) + { + printf ("%d:(", i); + show_ept (crossings[i][1]); + printf (" "); + show_ept (crossings[i][2]); + printf (" "); + show_ept (crossings[i][3]); + printf (" "); + show_ept (crossings[i][4]); + printf (")"); + } + printf ("\n"); +} diff --git a/knot_diagram.h b/knot_diagram.h new file mode 100644 index 0000000..ac8d07a --- /dev/null +++ b/knot_diagram.h @@ -0,0 +1,161 @@ + +static inline unsigned +add_base1_mod4 (unsigned x, unsigned y) +{ + assert (between (1, x, 4)); + assert (between (0, y, 4)); + + return ((x - 1 + y) % 4) + 1; +} + +enum mirror { MIRROR }; +enum connect_sum { CONNECT_SUM }; + +class knot_diagram +{ + public: + std::string name; + + unsigned n_crossings; + unsigned marked_edge; + + basedvector, 1> crossings; + basedvector ept_crossing; + basedvector ept_index; + + /* true if the smoothing orientation for an edge matches the link + orientation */ + set edge_smoothing_oriented; + + unsigned nminus, nplus; + + unsigned num_edges () const { return n_crossings * 2; } + unsigned num_epts () const { return n_crossings * 4; } + unsigned ept_edge (unsigned p) const + { + assert (between (1, p, num_epts ())); + return (p + 1) / 2; + } + unsigned edge_other_ept (unsigned p) const + { + assert (between (1, p, num_epts ())); + if (is_odd (p)) + return p + 1; + else + return p - 1; + } + + unsigned edge_from_ept (unsigned e) const + { + assert (between (1, e, num_edges ())); + return e * 2 - 1; + } + unsigned edge_to_ept (unsigned e) const + { + assert (between (1, e, num_edges ())); + return e * 2; + } + unsigned is_from_ept (unsigned p) const + { + assert (between (1, p, num_epts ())); + return is_odd (p); + } + unsigned is_to_ept (unsigned p) const { return !is_from_ept (p); } + + unsigned is_under_ept (unsigned p) const + { + assert (between (1, p, num_epts ())); + return ept_index[p] == 1 || ept_index[p] == 3; + } + unsigned is_over_ept (unsigned p) const { return !is_under_ept (p); } + + bool is_crossing_from_ept (unsigned p) const + { + assert (is_under_ept (p)); + return ept_index[p] == 1; + } + bool is_crossing_to_ept (unsigned p) const { return !is_crossing_from_ept (p); } + + /* wrt smoothing orientation */ + unsigned edge_smoothing_from_ept (unsigned e) const + { + return edge_smoothing_oriented % e + ? edge_from_ept (e) + : edge_to_ept (e); + } + unsigned edge_smoothing_to_ept (unsigned e) const + { + return edge_smoothing_oriented % e + ? edge_to_ept (e) + : edge_from_ept (e); + } + bool is_smoothing_from_ept (unsigned p) const + { + unsigned e = ept_edge (p); + return p == edge_smoothing_from_ept (e); + } + bool is_smoothing_to_ept (unsigned p) const { return !is_smoothing_from_ept (p); } + + void orient (); + void calculate_nminus_nplus (); + void calculate_smoothing_orientation (); + + void check_crossings (); + void rotate_crossing (unsigned c); + + public: + knot_diagram () + : n_crossings(0), + marked_edge(0), + nminus(0), + nplus(0) + { } + explicit knot_diagram (const planar_diagram &pd); + explicit knot_diagram (const dt_code &dt); + knot_diagram (mirror, const knot_diagram &kd); + knot_diagram (connect_sum, + const knot_diagram &d1, + const knot_diagram &d2); + + knot_diagram (const std::string &name_, unsigned n_crossings_, unsigned crossings_ar[][4]); + knot_diagram (const std::string &name_, const basedvector, 1> &crossings_); + knot_diagram (const knot_diagram &kd) + : name(kd.name), + n_crossings(kd.n_crossings), + marked_edge(kd.marked_edge), + crossings(kd.crossings), + ept_crossing(kd.ept_crossing), + ept_index(kd.ept_index), + edge_smoothing_oriented(kd.edge_smoothing_oriented), + nminus(kd.nminus), nplus(kd.nplus) + { } + ~knot_diagram () { } + + knot_diagram &operator = (const knot_diagram &kd) + { + name = kd.name; + n_crossings = kd.n_crossings; + marked_edge = kd.marked_edge; + crossings = kd.crossings; + ept_crossing = kd.ept_crossing; + ept_index = kd.ept_index; + edge_smoothing_oriented = kd.edge_smoothing_oriented; + nminus = kd.nminus; + nplus = kd.nplus; + return *this; + } + + directed_multigraph black_graph (basedvector &bg_edge_height) const; + + unsigned resolve_next_ept (unsigned p, bool resolution) const; + + int writhe () const { return (int)nplus - (int)nminus; } + + basedvector, 1> planar_diagram_crossings () const; + + hash_t hash_self () const; + + void show_ept (unsigned p) const; + void show_self () const; + void display_self () const; +}; diff --git a/knot_parser/knot_parser.cc b/knot_parser/knot_parser.cc new file mode 100644 index 0000000..6b764d5 --- /dev/null +++ b/knot_parser/knot_parser.cc @@ -0,0 +1,1148 @@ +/* A Bison parser, made by GNU Bison 2.4.3. */ + +/* Skeleton implementation for Bison LALR(1) parsers in C++ + + Copyright (C) 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010 Free + Software Foundation, Inc. + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . */ + +/* As a special exception, you may create a larger work that contains + part or all of the Bison parser skeleton and distribute that work + under terms of your choice, so long as that work isn't itself a + parser generator using the skeleton or a modified version thereof + as a parser skeleton. Alternatively, if you modify or redistribute + the parser skeleton itself, you may (at your option) remove this + special exception, which will cause the skeleton and the resulting + Bison output files to be licensed under the GNU General Public + License without this special exception. + + This special exception was added by the Free Software Foundation in + version 2.2 of Bison. */ + + +/* First part of user declarations. */ + + +/* Line 311 of lalr1.cc */ +#line 40 "knot_parser/knot_parser.cc" + + +#include "knot_parser.hh" + +/* User implementation prologue. */ + + +/* Line 317 of lalr1.cc */ +#line 49 "knot_parser/knot_parser.cc" +/* Unqualified %code blocks. */ + +/* Line 318 of lalr1.cc */ +#line 15 "knot_parser/knot_parser.yy" + +#define YY_DECL \ + yy::knot_parser::token_type knot_yylex (yy::knot_parser::semantic_type *yylval) +YY_DECL; + + +/* Line 318 of lalr1.cc */ +#line 29 "knot_parser/knot_parser.yy" + +#define yylex knot_yylex + + + +/* Line 318 of lalr1.cc */ +#line 68 "knot_parser/knot_parser.cc" + +#ifndef YY_ +# if defined YYENABLE_NLS && YYENABLE_NLS +# if ENABLE_NLS +# include /* FIXME: INFRINGES ON USER NAME SPACE */ +# define YY_(msgid) dgettext ("bison-runtime", msgid) +# endif +# endif +# ifndef YY_ +# define YY_(msgid) msgid +# endif +#endif + +/* Suppress unused-variable warnings by "using" E. */ +#define YYUSE(e) ((void) (e)) + +/* Enable debugging if requested. */ +#if YYDEBUG + +/* A pseudo ostream that takes yydebug_ into account. */ +# define YYCDEBUG if (yydebug_) (*yycdebug_) + +# define YY_SYMBOL_PRINT(Title, Type, Value, Location) \ +do { \ + if (yydebug_) \ + { \ + *yycdebug_ << Title << ' '; \ + yy_symbol_print_ ((Type), (Value), (Location)); \ + *yycdebug_ << std::endl; \ + } \ +} while (false) + +# define YY_REDUCE_PRINT(Rule) \ +do { \ + if (yydebug_) \ + yy_reduce_print_ (Rule); \ +} while (false) + +# define YY_STACK_PRINT() \ +do { \ + if (yydebug_) \ + yystack_print_ (); \ +} while (false) + +#else /* !YYDEBUG */ + +# define YYCDEBUG if (false) std::cerr +# define YY_SYMBOL_PRINT(Title, Type, Value, Location) +# define YY_REDUCE_PRINT(Rule) +# define YY_STACK_PRINT() + +#endif /* !YYDEBUG */ + +#define yyerrok (yyerrstatus_ = 0) +#define yyclearin (yychar = yyempty_) + +#define YYACCEPT goto yyacceptlab +#define YYABORT goto yyabortlab +#define YYERROR goto yyerrorlab +#define YYRECOVERING() (!!yyerrstatus_) + + +namespace yy { + +/* Line 380 of lalr1.cc */ +#line 134 "knot_parser/knot_parser.cc" +#if YYERROR_VERBOSE + + /* Return YYSTR after stripping away unnecessary quotes and + backslashes, so that it's suitable for yyerror. The heuristic is + that double-quoting is unnecessary unless the string contains an + apostrophe, a comma, or backslash (other than backslash-backslash). + YYSTR is taken from yytname. */ + std::string + knot_parser::yytnamerr_ (const char *yystr) + { + if (*yystr == '"') + { + std::string yyr = ""; + char const *yyp = yystr; + + for (;;) + switch (*++yyp) + { + case '\'': + case ',': + goto do_not_strip_quotes; + + case '\\': + if (*++yyp != '\\') + goto do_not_strip_quotes; + /* Fall through. */ + default: + yyr += *yyp; + break; + + case '"': + return yyr; + } + do_not_strip_quotes: ; + } + + return yystr; + } + +#endif + + /// Build a parser object. + knot_parser::knot_parser (knot_diagram &parsed_knot_yyarg) + : +#if YYDEBUG + yydebug_ (false), + yycdebug_ (&std::cerr), +#endif + parsed_knot (parsed_knot_yyarg) + { + } + + knot_parser::~knot_parser () + { + } + +#if YYDEBUG + /*--------------------------------. + | Print this symbol on YYOUTPUT. | + `--------------------------------*/ + + inline void + knot_parser::yy_symbol_value_print_ (int yytype, + const semantic_type* yyvaluep, const location_type* yylocationp) + { + YYUSE (yylocationp); + YYUSE (yyvaluep); + switch (yytype) + { + default: + break; + } + } + + + void + knot_parser::yy_symbol_print_ (int yytype, + const semantic_type* yyvaluep, const location_type* yylocationp) + { + *yycdebug_ << (yytype < yyntokens_ ? "token" : "nterm") + << ' ' << yytname_[yytype] << " (" + << *yylocationp << ": "; + yy_symbol_value_print_ (yytype, yyvaluep, yylocationp); + *yycdebug_ << ')'; + } +#endif + + void + knot_parser::yydestruct_ (const char* yymsg, + int yytype, semantic_type* yyvaluep, location_type* yylocationp) + { + YYUSE (yylocationp); + YYUSE (yymsg); + YYUSE (yyvaluep); + + YY_SYMBOL_PRINT (yymsg, yytype, yyvaluep, yylocationp); + + switch (yytype) + { + + default: + break; + } + } + + void + knot_parser::yypop_ (unsigned int n) + { + yystate_stack_.pop (n); + yysemantic_stack_.pop (n); + yylocation_stack_.pop (n); + } + +#if YYDEBUG + std::ostream& + knot_parser::debug_stream () const + { + return *yycdebug_; + } + + void + knot_parser::set_debug_stream (std::ostream& o) + { + yycdebug_ = &o; + } + + + knot_parser::debug_level_type + knot_parser::debug_level () const + { + return yydebug_; + } + + void + knot_parser::set_debug_level (debug_level_type l) + { + yydebug_ = l; + } +#endif + + int + knot_parser::parse () + { + /// Lookahead and lookahead in internal form. + int yychar = yyempty_; + int yytoken = 0; + + /* State. */ + int yyn; + int yylen = 0; + int yystate = 0; + + /* Error handling. */ + int yynerrs_ = 0; + int yyerrstatus_ = 0; + + /// Semantic value of the lookahead. + semantic_type yylval; + /// Location of the lookahead. + location_type yylloc; + /// The locations where the error started and ended. + location_type yyerror_range[3]; + + /// $$. + semantic_type yyval; + /// @$. + location_type yyloc; + + int yyresult; + + YYCDEBUG << "Starting parse" << std::endl; + + + /* Initialize the stacks. The initial state will be pushed in + yynewstate, since the latter expects the semantical and the + location values to have been already stored, initialize these + stacks with a primary value. */ + yystate_stack_ = state_stack_type (0); + yysemantic_stack_ = semantic_stack_type (0); + yylocation_stack_ = location_stack_type (0); + yysemantic_stack_.push (yylval); + yylocation_stack_.push (yylloc); + + /* New state. */ + yynewstate: + yystate_stack_.push (yystate); + YYCDEBUG << "Entering state " << yystate << std::endl; + + /* Accept? */ + if (yystate == yyfinal_) + goto yyacceptlab; + + goto yybackup; + + /* Backup. */ + yybackup: + + /* Try to take a decision without lookahead. */ + yyn = yypact_[yystate]; + if (yyn == yypact_ninf_) + goto yydefault; + + /* Read a lookahead token. */ + if (yychar == yyempty_) + { + YYCDEBUG << "Reading a token: "; + yychar = yylex (&yylval); + } + + + /* Convert token to internal form. */ + if (yychar <= yyeof_) + { + yychar = yytoken = yyeof_; + YYCDEBUG << "Now at end of input." << std::endl; + } + else + { + yytoken = yytranslate_ (yychar); + YY_SYMBOL_PRINT ("Next token is", yytoken, &yylval, &yylloc); + } + + /* If the proper action on seeing token YYTOKEN is to reduce or to + detect an error, take that action. */ + yyn += yytoken; + if (yyn < 0 || yylast_ < yyn || yycheck_[yyn] != yytoken) + goto yydefault; + + /* Reduce or error. */ + yyn = yytable_[yyn]; + if (yyn <= 0) + { + if (yyn == 0 || yyn == yytable_ninf_) + goto yyerrlab; + yyn = -yyn; + goto yyreduce; + } + + /* Shift the lookahead token. */ + YY_SYMBOL_PRINT ("Shifting", yytoken, &yylval, &yylloc); + + /* Discard the token being shifted. */ + yychar = yyempty_; + + yysemantic_stack_.push (yylval); + yylocation_stack_.push (yylloc); + + /* Count tokens shifted since error; after three, turn off error + status. */ + if (yyerrstatus_) + --yyerrstatus_; + + yystate = yyn; + goto yynewstate; + + /*-----------------------------------------------------------. + | yydefault -- do the default action for the current state. | + `-----------------------------------------------------------*/ + yydefault: + yyn = yydefact_[yystate]; + if (yyn == 0) + goto yyerrlab; + goto yyreduce; + + /*-----------------------------. + | yyreduce -- Do a reduction. | + `-----------------------------*/ + yyreduce: + yylen = yyr2_[yyn]; + /* If YYLEN is nonzero, implement the default value of the action: + `$$ = $1'. Otherwise, use the top of the stack. + + Otherwise, the following line sets YYVAL to garbage. + This behavior is undocumented and Bison + users should not rely upon it. */ + if (yylen) + yyval = yysemantic_stack_[yylen - 1]; + else + yyval = yysemantic_stack_[0]; + + { + slice slice (yylocation_stack_, yylen); + YYLLOC_DEFAULT (yyloc, slice, yylen); + } + YY_REDUCE_PRINT (yyn); + switch (yyn) + { + case 10: + +/* Line 678 of lalr1.cc */ +#line 67 "knot_parser/knot_parser.yy" + { + unsigned n = (yysemantic_stack_[(3) - (1)].integer), + k = (yysemantic_stack_[(3) - (3)].integer); + + if (n >= 1 && n <= 10 + && k >= 1 && k <= rolfsen_crossing_knots (n)) + parsed_knot = knot_diagram (rolfsen_knot (n, k)); + else + { + fprintf (stderr, "knot_parser: no such Rolfsen knot `%d_%d'\n", + n, k); + exit (EXIT_FAILURE); + } + } + break; + + case 11: + +/* Line 678 of lalr1.cc */ +#line 85 "knot_parser/knot_parser.yy" + { + unsigned n = (yysemantic_stack_[(3) - (1)].integer), + k = (yysemantic_stack_[(3) - (3)].integer); + bool alt = (yysemantic_stack_[(3) - (2)].alternating); + + if (n >= 1 && n <= 16 + && k >= 1 && k <= htw_knots (n, alt)) + parsed_knot = knot_diagram (htw_knot (n, alt, k)); + else + { + fprintf (stderr, "knot_parser: no such HTW knot `%d%c%d'\n", + n, alt ? 'a' : 'n', k); + exit (EXIT_FAILURE); + } + } + break; + + case 12: + +/* Line 678 of lalr1.cc */ +#line 104 "knot_parser/knot_parser.yy" + { + unsigned n = (yysemantic_stack_[(4) - (2)].integer), + k = (yysemantic_stack_[(4) - (4)].integer); + bool alt = (yysemantic_stack_[(4) - (3)].alternating); + + if (n >= 1 && n <= 14 + && k >= 1 && k <= mt_links (n, alt)) + parsed_knot = knot_diagram (mt_link (n, alt, k)); + else + { + fprintf (stderr, "knot_parser: no such MT link `%d%c%d'\n", + n, alt ? 'a' : 'n', k); + exit (EXIT_FAILURE); + } + } + break; + + case 13: + +/* Line 678 of lalr1.cc */ +#line 123 "knot_parser/knot_parser.yy" + { parsed_knot = knot_diagram (planar_diagram ("", *(yysemantic_stack_[(4) - (3)].int_vec2))); } + break; + + case 14: + +/* Line 678 of lalr1.cc */ +#line 125 "knot_parser/knot_parser.yy" + { parsed_knot = knot_diagram (planar_diagram ("", *(yysemantic_stack_[(4) - (3)].int_vec2))); } + break; + + case 15: + +/* Line 678 of lalr1.cc */ +#line 130 "knot_parser/knot_parser.yy" + { + basedvector, 1> even_labels (1); + even_labels[1] = *(yysemantic_stack_[(4) - (3)].int_vec); + parsed_knot = knot_diagram (dt_code ("", even_labels)); + } + break; + + case 16: + +/* Line 678 of lalr1.cc */ +#line 136 "knot_parser/knot_parser.yy" + { parsed_knot = knot_diagram (dt_code ("", *(yysemantic_stack_[(4) - (3)].int_vec2))); } + break; + + case 17: + +/* Line 678 of lalr1.cc */ +#line 138 "knot_parser/knot_parser.yy" + { parsed_knot = knot_diagram (dt_code ("", (yysemantic_stack_[(4) - (3)].string))); } + break; + + case 18: + +/* Line 678 of lalr1.cc */ +#line 143 "knot_parser/knot_parser.yy" + { parsed_knot = knot_diagram (torus_knot ((yysemantic_stack_[(6) - (3)].integer), (yysemantic_stack_[(6) - (5)].integer))); } + break; + + case 19: + +/* Line 678 of lalr1.cc */ +#line 148 "knot_parser/knot_parser.yy" + { parsed_knot = knot_diagram (braid ((yysemantic_stack_[(6) - (3)].integer), *(yysemantic_stack_[(6) - (5)].int_vec))); } + break; + + case 20: + +/* Line 678 of lalr1.cc */ +#line 153 "knot_parser/knot_parser.yy" + { + unsigned unknot_ar[1][4] = { + { 2, 1, 3, 4, }, + }; + parsed_knot = knot_diagram ("U", 1, unknot_ar); + } + break; + + case 23: + +/* Line 678 of lalr1.cc */ +#line 168 "knot_parser/knot_parser.yy" + { + basedvector, 1> *v + = new basedvector, 1> (); + v->append (*(yysemantic_stack_[(1) - (1)].int_vec)); + (yyval.int_vec2) = v; + } + break; + + case 24: + +/* Line 678 of lalr1.cc */ +#line 175 "knot_parser/knot_parser.yy" + { + basedvector, 1> *v = (yysemantic_stack_[(3) - (1)].int_vec2); + v->append (*(yysemantic_stack_[(3) - (3)].int_vec)); + (yyval.int_vec2) = v; + } + break; + + case 25: + +/* Line 678 of lalr1.cc */ +#line 184 "knot_parser/knot_parser.yy" + { (yyval.int_vec) = (yysemantic_stack_[(3) - (2)].int_vec); } + break; + + case 26: + +/* Line 678 of lalr1.cc */ +#line 186 "knot_parser/knot_parser.yy" + { (yyval.int_vec) = (yysemantic_stack_[(3) - (2)].int_vec); } + break; + + case 27: + +/* Line 678 of lalr1.cc */ +#line 191 "knot_parser/knot_parser.yy" + { + basedvector *v = + new basedvector (); + v->append ((yysemantic_stack_[(1) - (1)].integer)); + (yyval.int_vec) = v; + } + break; + + case 28: + +/* Line 678 of lalr1.cc */ +#line 198 "knot_parser/knot_parser.yy" + { + basedvector *v = (yysemantic_stack_[(3) - (1)].int_vec); + v->append ((yysemantic_stack_[(3) - (3)].integer)); + (yyval.int_vec) = v; + } + break; + + case 29: + +/* Line 678 of lalr1.cc */ +#line 207 "knot_parser/knot_parser.yy" + { + basedvector, 1> *v + = new basedvector, 1> (); + v->append (*(yysemantic_stack_[(1) - (1)].int_vec)); + (yyval.int_vec2) = v; + } + break; + + case 30: + +/* Line 678 of lalr1.cc */ +#line 214 "knot_parser/knot_parser.yy" + { + basedvector, 1> *v = (yysemantic_stack_[(3) - (1)].int_vec2); + v->append (*(yysemantic_stack_[(3) - (3)].int_vec)); + (yyval.int_vec2) = v; + } + break; + + case 31: + +/* Line 678 of lalr1.cc */ +#line 223 "knot_parser/knot_parser.yy" + { + basedvector *v + = new basedvector (); + v->append ((yysemantic_stack_[(10) - (3)].integer)); + v->append ((yysemantic_stack_[(10) - (5)].integer)); + v->append ((yysemantic_stack_[(10) - (7)].integer)); + v->append ((yysemantic_stack_[(10) - (9)].integer)); + (yyval.int_vec) = v; + } + break; + + + +/* Line 678 of lalr1.cc */ +#line 650 "knot_parser/knot_parser.cc" + default: + break; + } + YY_SYMBOL_PRINT ("-> $$ =", yyr1_[yyn], &yyval, &yyloc); + + yypop_ (yylen); + yylen = 0; + YY_STACK_PRINT (); + + yysemantic_stack_.push (yyval); + yylocation_stack_.push (yyloc); + + /* Shift the result of the reduction. */ + yyn = yyr1_[yyn]; + yystate = yypgoto_[yyn - yyntokens_] + yystate_stack_[0]; + if (0 <= yystate && yystate <= yylast_ + && yycheck_[yystate] == yystate_stack_[0]) + yystate = yytable_[yystate]; + else + yystate = yydefgoto_[yyn - yyntokens_]; + goto yynewstate; + + /*------------------------------------. + | yyerrlab -- here on detecting error | + `------------------------------------*/ + yyerrlab: + /* If not already recovering from an error, report this error. */ + if (!yyerrstatus_) + { + ++yynerrs_; + error (yylloc, yysyntax_error_ (yystate)); + } + + yyerror_range[1] = yylloc; + if (yyerrstatus_ == 3) + { + /* If just tried and failed to reuse lookahead token after an + error, discard it. */ + + if (yychar <= yyeof_) + { + /* Return failure if at end of input. */ + if (yychar == yyeof_) + YYABORT; + } + else + { + yydestruct_ ("Error: discarding", yytoken, &yylval, &yylloc); + yychar = yyempty_; + } + } + + /* Else will try to reuse lookahead token after shifting the error + token. */ + goto yyerrlab1; + + + /*---------------------------------------------------. + | yyerrorlab -- error raised explicitly by YYERROR. | + `---------------------------------------------------*/ + yyerrorlab: + + /* Pacify compilers like GCC when the user code never invokes + YYERROR and the label yyerrorlab therefore never appears in user + code. */ + if (false) + goto yyerrorlab; + + yyerror_range[1] = yylocation_stack_[yylen - 1]; + /* Do not reclaim the symbols of the rule which action triggered + this YYERROR. */ + yypop_ (yylen); + yylen = 0; + yystate = yystate_stack_[0]; + goto yyerrlab1; + + /*-------------------------------------------------------------. + | yyerrlab1 -- common code for both syntax error and YYERROR. | + `-------------------------------------------------------------*/ + yyerrlab1: + yyerrstatus_ = 3; /* Each real token shifted decrements this. */ + + for (;;) + { + yyn = yypact_[yystate]; + if (yyn != yypact_ninf_) + { + yyn += yyterror_; + if (0 <= yyn && yyn <= yylast_ && yycheck_[yyn] == yyterror_) + { + yyn = yytable_[yyn]; + if (0 < yyn) + break; + } + } + + /* Pop the current state because it cannot handle the error token. */ + if (yystate_stack_.height () == 1) + YYABORT; + + yyerror_range[1] = yylocation_stack_[0]; + yydestruct_ ("Error: popping", + yystos_[yystate], + &yysemantic_stack_[0], &yylocation_stack_[0]); + yypop_ (); + yystate = yystate_stack_[0]; + YY_STACK_PRINT (); + } + + yyerror_range[2] = yylloc; + // Using YYLLOC is tempting, but would change the location of + // the lookahead. YYLOC is available though. + YYLLOC_DEFAULT (yyloc, yyerror_range, 2); + yysemantic_stack_.push (yylval); + yylocation_stack_.push (yyloc); + + /* Shift the error token. */ + YY_SYMBOL_PRINT ("Shifting", yystos_[yyn], + &yysemantic_stack_[0], &yylocation_stack_[0]); + + yystate = yyn; + goto yynewstate; + + /* Accept. */ + yyacceptlab: + yyresult = 0; + goto yyreturn; + + /* Abort. */ + yyabortlab: + yyresult = 1; + goto yyreturn; + + yyreturn: + if (yychar != yyempty_) + yydestruct_ ("Cleanup: discarding lookahead", yytoken, &yylval, &yylloc); + + /* Do not reclaim the symbols of the rule which action triggered + this YYABORT or YYACCEPT. */ + yypop_ (yylen); + while (yystate_stack_.height () != 1) + { + yydestruct_ ("Cleanup: popping", + yystos_[yystate_stack_[0]], + &yysemantic_stack_[0], + &yylocation_stack_[0]); + yypop_ (); + } + + return yyresult; + } + + // Generate an error message. + std::string + knot_parser::yysyntax_error_ (int yystate) + { + std::string res; + YYUSE (yystate); +#if YYERROR_VERBOSE + int yyn = yypact_[yystate]; + if (yypact_ninf_ < yyn && yyn <= yylast_) + { + /* Start YYX at -YYN if negative to avoid negative indexes in + YYCHECK. */ + int yyxbegin = yyn < 0 ? -yyn : 0; + + /* Stay within bounds of both yycheck and yytname. */ + int yychecklim = yylast_ - yyn + 1; + int yyxend = yychecklim < yyntokens_ ? yychecklim : yyntokens_; + int count = 0; + for (int x = yyxbegin; x < yyxend; ++x) + if (yycheck_[x + yyn] == x && x != yyterror_) + ++count; + + // FIXME: This method of building the message is not compatible + // with internationalization. It should work like yacc.c does it. + // That is, first build a string that looks like this: + // "syntax error, unexpected %s or %s or %s" + // Then, invoke YY_ on this string. + // Finally, use the string as a format to output + // yytname_[tok], etc. + // Until this gets fixed, this message appears in English only. + res = "syntax error, unexpected "; + res += yytnamerr_ (yytname_[tok]); + if (count < 5) + { + count = 0; + for (int x = yyxbegin; x < yyxend; ++x) + if (yycheck_[x + yyn] == x && x != yyterror_) + { + res += (!count++) ? ", expecting " : " or "; + res += yytnamerr_ (yytname_[x]); + } + } + } + else +#endif + res = YY_("syntax error"); + return res; + } + + + /* 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_[] = + { + -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 + }; + + /* YYDEFACT[S] -- default rule to reduce with in state S when YYTABLE + doesn't specify something else to do. Zero means the default is an + error. */ + 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 + }; + + /* 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 + }; + + /* 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 + }; + + /* YYTABLE[YYPACT[STATE-NUM]]. What to do in state STATE-NUM. If + positive, shift that token. If negative, reduce the rule which + number is the opposite. If zero, do what YYDEFACT says. */ + const signed char knot_parser::yytable_ninf_ = -1; + 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 + }; + + /* YYCHECK. */ + const signed char + knot_parser::yycheck_[] = + { + 3, 8, 3, 4, 5, 6, 7, 16, 9, 16, + 11, 14, 47, 16, 21, 19, 16, 19, 21, 54, + 22, 21, 12, 13, 17, 15, 19, 18, 17, 17, + 19, 19, 17, 17, 19, 19, 12, 13, 30, 31, + 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 + }; + + /* STOS_[STATE-NUM] -- The (internal number of the) accessing + symbol of state STATE-NUM. */ + const unsigned char + 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 + }; + +#if YYDEBUG + /* TOKEN_NUMBER_[YYLEX-NUM] -- Internal symbol number corresponding + to YYLEX-NUM. */ + const unsigned short int + knot_parser::yytoken_number_[] = + { + 0, 256, 257, 258, 259, 260, 261, 262, 263, 264, + 265, 266, 267, 268, 269, 95, 91, 93, 40, 44, + 41, 123, 125 + }; +#endif + + /* YYR1[YYN] -- Symbol number of symbol that rule YYN derives. */ + 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 + }; + + /* 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 + }; + +#if YYDEBUG || YYERROR_VERBOSE || YYTOKEN_TABLE + /* YYTNAME[SYMBOL-NUM] -- String name of the symbol SYMBOL-NUM. + First, the terminals, then, starting at \a yyntokens_, nonterminals. */ + const char* + const knot_parser::yytname_[] = + { + "\"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", + "torus_link", "braid", "unknot", "alt_spec", "int_vec2", "int_vec", + "int_vec_1", "crossing_vec", "crossing", 0 + }; +#endif + +#if YYDEBUG + /* YYRHS -- A `-1'-separated list of the rules' RHS. */ + 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 + }; + + /* YYPRHS[YYN] -- Index of the first RHS symbol of rule number YYN in + YYRHS. */ + 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 + }; + + /* 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 + }; + + // Print the state stack on the debug stream. + void + knot_parser::yystack_print_ () + { + *yycdebug_ << "Stack now"; + for (state_stack_type::const_iterator i = yystate_stack_.begin (); + i != yystate_stack_.end (); ++i) + *yycdebug_ << ' ' << *i; + *yycdebug_ << std::endl; + } + + // Report on the debug stream that the rule \a yyrule is going to be reduced. + void + knot_parser::yy_reduce_print_ (int yyrule) + { + unsigned int yylno = yyrline_[yyrule]; + int yynrhs = yyr2_[yyrule]; + /* Print the symbols being reduced, and their result. */ + *yycdebug_ << "Reducing stack by rule " << yyrule - 1 + << " (line " << yylno << "):" << std::endl; + /* The symbols being reduced. */ + for (int yyi = 0; yyi < yynrhs; yyi++) + YY_SYMBOL_PRINT (" $" << yyi + 1 << " =", + yyrhs_[yyprhs_[yyrule] + yyi], + &(yysemantic_stack_[(yynrhs) - (yyi + 1)]), + &(yylocation_stack_[(yynrhs) - (yyi + 1)])); + } +#endif // YYDEBUG + + /* YYTRANSLATE(YYLEX) -- Bison symbol number corresponding to YYLEX. */ + knot_parser::token_number_type + knot_parser::yytranslate_ (int t) + { + static + const token_number_type + translate_table[] = + { + 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 18, 20, 2, 2, 19, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 16, 2, 17, 2, 15, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 21, 2, 22, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 1, 2, 3, 4, + 5, 6, 7, 8, 9, 10, 11, 12, 13, 14 + }; + if ((unsigned int) t <= yyuser_token_number_max_) + return translate_table[t]; + else + return yyundef_token_; + } + + const int knot_parser::yyeof_ = 0; + const int knot_parser::yylast_ = 78; + const int knot_parser::yynnts_ = 16; + const int knot_parser::yyempty_ = -2; + const int knot_parser::yyfinal_ = 26; + const int knot_parser::yyterror_ = 1; + const int knot_parser::yyerrcode_ = 256; + const int knot_parser::yyntokens_ = 23; + + const unsigned int knot_parser::yyuser_token_number_max_ = 269; + const knot_parser::token_number_type knot_parser::yyundef_token_ = 2; + + +} // yy + +/* Line 1054 of lalr1.cc */ +#line 1121 "knot_parser/knot_parser.cc" + + +/* Line 1056 of lalr1.cc */ +#line 233 "knot_parser/knot_parser.yy" + + +void +yy::knot_parser::error (const yy::knot_parser::location_type &l, + const std::string &m) +{ + fprintf (stderr, "knot_parser: parse error.\n"); + exit (EXIT_FAILURE); +} + +void knot_scan_string (const char *s); + +knot_diagram +parse_knot (const char *s) +{ + knot_scan_string (s); + + knot_diagram d; + yy::knot_parser parser (d); + parser.parse (); + + return d; +} + diff --git a/knot_parser/knot_parser.hh b/knot_parser/knot_parser.hh new file mode 100644 index 0000000..b604953 --- /dev/null +++ b/knot_parser/knot_parser.hh @@ -0,0 +1,337 @@ +/* A Bison parser, made by GNU Bison 2.4.3. */ + +/* Skeleton interface for Bison LALR(1) parsers in C++ + + Copyright (C) 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010 Free + Software Foundation, Inc. + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . */ + +/* As a special exception, you may create a larger work that contains + part or all of the Bison parser skeleton and distribute that work + under terms of your choice, so long as that work isn't itself a + parser generator using the skeleton or a modified version thereof + as a parser skeleton. Alternatively, if you modify or redistribute + the parser skeleton itself, you may (at your option) remove this + special exception, which will cause the skeleton and the resulting + Bison output files to be licensed under the GNU General Public + License without this special exception. + + This special exception was added by the Free Software Foundation in + version 2.2 of Bison. */ + +/* C++ LALR(1) parser skeleton written by Akim Demaille. */ + +#ifndef PARSER_HEADER_H +# define PARSER_HEADER_H + +/* "%code requires" blocks. */ + +/* Line 35 of lalr1.cc */ +#line 11 "knot_parser/knot_parser.yy" + +#include + + + +/* Line 35 of lalr1.cc */ +#line 50 "knot_parser/knot_parser.hh" + + +#include +#include +#include "stack.hh" + + +namespace yy { + +/* Line 35 of lalr1.cc */ +#line 61 "knot_parser/knot_parser.hh" + class position; + class location; + +} // yy + +/* Line 35 of lalr1.cc */ +#line 68 "knot_parser/knot_parser.hh" + +#include "location.hh" + +/* Enabling traces. */ +#ifndef YYDEBUG +# define YYDEBUG 0 +#endif + +/* Enabling verbose error messages. */ +#ifdef YYERROR_VERBOSE +# undef YYERROR_VERBOSE +# define YYERROR_VERBOSE 1 +#else +# define YYERROR_VERBOSE 0 +#endif + +/* Enabling the token table. */ +#ifndef YYTOKEN_TABLE +# define YYTOKEN_TABLE 0 +#endif + +/* YYLLOC_DEFAULT -- Set CURRENT to span from RHS[1] to RHS[N]. + If N is 0, then set CURRENT to the empty location which ends + the previous symbol: RHS[0] (always defined). */ + +#ifndef YYLLOC_DEFAULT +# define YYLLOC_DEFAULT(Current, Rhs, N) \ +do { \ + if (N) \ + { \ + (Current).begin = (Rhs)[1].begin; \ + (Current).end = (Rhs)[N].end; \ + } \ + else \ + { \ + (Current).begin = (Current).end = (Rhs)[0].end; \ + } \ +} while (false) +#endif + + +namespace yy { + +/* Line 35 of lalr1.cc */ +#line 113 "knot_parser/knot_parser.hh" + + /// A Bison parser. + class knot_parser + { + public: + /// Symbol semantic values. +#ifndef YYSTYPE + union semantic_type + { + +/* Line 35 of lalr1.cc */ +#line 21 "knot_parser/knot_parser.yy" + + int integer; + bool alternating; + basedvector *int_vec; + basedvector, 1> *int_vec2; + const char *string; + + + +/* Line 35 of lalr1.cc */ +#line 136 "knot_parser/knot_parser.hh" + }; +#else + typedef YYSTYPE semantic_type; +#endif + /// Symbol locations. + typedef location location_type; + /// Tokens. + struct token + { + /* Tokens. */ + enum yytokentype { + END = 0, + INT = 258, + PD = 259, + DT = 260, + BR = 261, + LINK = 262, + X = 263, + T = 264, + U = 265, + UNKNOT = 266, + ALT = 267, + NONALT = 268, + STRING = 269 + }; + + }; + /// Token type. + typedef token::yytokentype token_type; + + /// Build a parser object. + knot_parser (knot_diagram &parsed_knot_yyarg); + virtual ~knot_parser (); + + /// Parse. + /// \returns 0 iff parsing succeeded. + virtual int parse (); + +#if YYDEBUG + /// The current debugging stream. + std::ostream& debug_stream () const; + /// Set the current debugging stream. + void set_debug_stream (std::ostream &); + + /// Type for debugging levels. + typedef int debug_level_type; + /// The current debugging level. + debug_level_type debug_level () const; + /// Set the current debugging level. + void set_debug_level (debug_level_type l); +#endif + + private: + /// Report a syntax error. + /// \param loc where the syntax error is found. + /// \param msg a description of the syntax error. + virtual void error (const location_type& loc, const std::string& msg); + + /// Generate an error message. + /// \param state the state where the error occurred. + /// \param tok the lookahead token. + virtual std::string yysyntax_error_ (int yystate); + +#if YYDEBUG + /// \brief Report a symbol value on the debug stream. + /// \param yytype The token type. + /// \param yyvaluep Its semantic value. + /// \param yylocationp Its location. + virtual void yy_symbol_value_print_ (int yytype, + const semantic_type* yyvaluep, + const location_type* yylocationp); + /// \brief Report a symbol on the debug stream. + /// \param yytype The token type. + /// \param yyvaluep Its semantic value. + /// \param yylocationp Its location. + virtual void yy_symbol_print_ (int yytype, + const semantic_type* yyvaluep, + const location_type* yylocationp); +#endif + + + /// State numbers. + typedef int state_type; + /// State stack type. + typedef stack state_stack_type; + /// Semantic value stack type. + typedef stack semantic_stack_type; + /// location stack type. + typedef stack location_stack_type; + + /// The state stack. + state_stack_type yystate_stack_; + /// The semantic value stack. + semantic_stack_type yysemantic_stack_; + /// The location stack. + location_stack_type yylocation_stack_; + + /// Internal symbol numbers. + typedef unsigned char token_number_type; + /* Tables. */ + /// For a state, the index in \a yytable_ of its portion. + static const signed char yypact_[]; + static const signed char yypact_ninf_; + + /// For a state, default rule to reduce. + /// Unless\a yytable_ specifies something else to do. + /// Zero means the default is an error. + static const unsigned char yydefact_[]; + + static const signed char yypgoto_[]; + static const signed char yydefgoto_[]; + + /// What to do in a state. + /// \a yytable_[yypact_[s]]: what to do in state \a s. + /// - if positive, shift that token. + /// - if negative, reduce the rule which number is the opposite. + /// - if zero, do what YYDEFACT says. + static const unsigned char yytable_[]; + static const signed char yytable_ninf_; + + static const signed char yycheck_[]; + + /// For a state, its accessing symbol. + static const unsigned char yystos_[]; + + /// For a rule, its LHS. + static const unsigned char yyr1_[]; + /// For a rule, its RHS length. + static const unsigned char yyr2_[]; + +#if YYDEBUG || YYERROR_VERBOSE || YYTOKEN_TABLE + /// For a symbol, its name in clear. + static const char* const yytname_[]; +#endif + +#if YYERROR_VERBOSE + /// Convert the symbol name \a n to a form suitable for a diagnostic. + virtual std::string yytnamerr_ (const char *n); +#endif + +#if YYDEBUG + /// A type to store symbol numbers and -1. + typedef signed char rhs_number_type; + /// A `-1'-separated list of the rules' RHS. + static const rhs_number_type yyrhs_[]; + /// For each rule, the index of the first RHS symbol in \a yyrhs_. + static const unsigned char yyprhs_[]; + /// For each rule, its source line number. + static const unsigned char yyrline_[]; + /// For each scanner token number, its symbol number. + static const unsigned short int yytoken_number_[]; + /// Report on the debug stream that the rule \a r is going to be reduced. + virtual void yy_reduce_print_ (int r); + /// Print the state stack on the debug stream. + virtual void yystack_print_ (); + + /* Debugging. */ + int yydebug_; + std::ostream* yycdebug_; +#endif + + /// Convert a scanner token number \a t to a symbol number. + token_number_type yytranslate_ (int t); + + /// \brief Reclaim the memory associated to a symbol. + /// \param yymsg Why this token is reclaimed. + /// \param yytype The symbol type. + /// \param yyvaluep Its semantic value. + /// \param yylocationp Its location. + inline void yydestruct_ (const char* yymsg, + int yytype, + semantic_type* yyvaluep, + location_type* yylocationp); + + /// Pop \a n symbols the three stacks. + inline void yypop_ (unsigned int n = 1); + + /* Constants. */ + static const int yyeof_; + /* LAST_ -- Last index in TABLE_. */ + static const int yylast_; + static const int yynnts_; + static const int yyempty_; + static const int yyfinal_; + static const int yyterror_; + static const int yyerrcode_; + static const int yyntokens_; + static const unsigned int yyuser_token_number_max_; + static const token_number_type yyundef_token_; + + /* User arguments. */ + knot_diagram &parsed_knot; + }; + +} // yy + +/* Line 35 of lalr1.cc */ +#line 334 "knot_parser/knot_parser.hh" + + + +#endif /* ! defined PARSER_HEADER_H */ diff --git a/knot_parser/knot_parser.yy b/knot_parser/knot_parser.yy new file mode 100644 index 0000000..9210974 --- /dev/null +++ b/knot_parser/knot_parser.yy @@ -0,0 +1,255 @@ + +%skeleton "lalr1.cc" +%require "2.4.3" +%defines +%define parser_class_name "knot_parser" + +%parse-param { knot_diagram &parsed_knot } + +// %no-lines + +%code requires { +#include +} + +%code{ +#define YY_DECL \ + yy::knot_parser::token_type knot_yylex (yy::knot_parser::semantic_type *yylval) +YY_DECL; +} + +%union { + int integer; + bool alternating; + basedvector *int_vec; + basedvector, 1> *int_vec2; + const char *string; +} + +%code { +#define yylex knot_yylex +} + +%token INT + +%token END 0 "end of file" + +%token PD DT BR LINK X T +%token U UNKNOT +%token ALT NONALT +%token STRING + +%type alt_spec + +%type int_vec int_vec_1 +%type int_vec2 + +%type crossing +%type crossing_vec + +%% + +%start knot; + +knot: + rolfsen_knot + | htw_knot + | mt_link + | planar_diagram + | dt + | torus_link + | unknot + | braid + ; + +rolfsen_knot: + INT '_' INT + { + unsigned n = $1, + k = $3; + + if (n >= 1 && n <= 10 + && k >= 1 && k <= rolfsen_crossing_knots (n)) + parsed_knot = knot_diagram (rolfsen_knot (n, k)); + else + { + fprintf (stderr, "knot_parser: no such Rolfsen knot `%d_%d'\n", + n, k); + exit (EXIT_FAILURE); + } + } + ; + +htw_knot: + INT alt_spec INT + { + unsigned n = $1, + k = $3; + bool alt = $2; + + if (n >= 1 && n <= 16 + && k >= 1 && k <= htw_knots (n, alt)) + parsed_knot = knot_diagram (htw_knot (n, alt, k)); + else + { + fprintf (stderr, "knot_parser: no such HTW knot `%d%c%d'\n", + n, alt ? 'a' : 'n', k); + exit (EXIT_FAILURE); + } + } + ; + +mt_link: + LINK INT alt_spec INT + { + unsigned n = $2, + k = $4; + bool alt = $3; + + if (n >= 1 && n <= 14 + && k >= 1 && k <= mt_links (n, alt)) + parsed_knot = knot_diagram (mt_link (n, alt, k)); + else + { + fprintf (stderr, "knot_parser: no such MT link `%d%c%d'\n", + n, alt ? 'a' : 'n', k); + exit (EXIT_FAILURE); + } + } + ; + +planar_diagram: + PD '[' int_vec2 ']' + { parsed_knot = knot_diagram (planar_diagram ("", *$3)); } + | PD '[' crossing_vec ']' + { parsed_knot = knot_diagram (planar_diagram ("", *$3)); } + ; + +dt: + DT '[' int_vec_1 ']' + { + basedvector, 1> even_labels (1); + even_labels[1] = *$3; + parsed_knot = knot_diagram (dt_code ("", even_labels)); + } + | DT '[' int_vec2 ']' + { parsed_knot = knot_diagram (dt_code ("", *$3)); } + | DT '[' STRING ']' + { parsed_knot = knot_diagram (dt_code ("", $3)); } + ; + +torus_link: + T '(' INT ',' INT ')' + { parsed_knot = knot_diagram (torus_knot ($3, $5)); } + ; + +braid: + BR '[' INT ',' int_vec ']' + { parsed_knot = knot_diagram (braid ($3, *$5)); } + ; + +unknot: + UNKNOT + { + unsigned unknot_ar[1][4] = { + { 2, 1, 3, 4, }, + }; + parsed_knot = knot_diagram ("U", 1, unknot_ar); + } + ; + +alt_spec: + ALT + | NONALT + ; + +int_vec2: + int_vec + { + basedvector, 1> *v + = new basedvector, 1> (); + v->append (*$1); + $$ = v; + } + | int_vec2 ',' int_vec + { + basedvector, 1> *v = $1; + v->append (*$3); + $$ = v; + } + ; + +int_vec: + '{' int_vec_1 '}' + { $$ = $2; } + | '[' int_vec_1 ']' + { $$ = $2; } + ; + +int_vec_1: + INT + { + basedvector *v = + new basedvector (); + v->append ($1); + $$ = v; + } + | int_vec_1 ',' INT + { + basedvector *v = $1; + v->append ($3); + $$ = v; + } + ; + +crossing_vec: + crossing + { + basedvector, 1> *v + = new basedvector, 1> (); + v->append (*$1); + $$ = v; + } + | crossing_vec ',' crossing + { + basedvector, 1> *v = $1; + v->append (*$3); + $$ = v; + } + ; + +crossing: + X '[' INT ',' INT ',' INT ',' INT ']' + { + basedvector *v + = new basedvector (); + v->append ($3); + v->append ($5); + v->append ($7); + v->append ($9); + $$ = v; + } + +%% + +void +yy::knot_parser::error (const yy::knot_parser::location_type &l, + const std::string &m) +{ + fprintf (stderr, "knot_parser: parse error.\n"); + exit (EXIT_FAILURE); +} + +void knot_scan_string (const char *s); + +knot_diagram +parse_knot (const char *s) +{ + knot_scan_string (s); + + knot_diagram d; + yy::knot_parser parser (d); + parser.parse (); + + return d; +} diff --git a/knot_parser/knot_parser_driver.cpp b/knot_parser/knot_parser_driver.cpp new file mode 100644 index 0000000..ac53dee --- /dev/null +++ b/knot_parser/knot_parser_driver.cpp @@ -0,0 +1,17 @@ + +// includes knotkit +#include "knot_parser.hh" + +void knot_scan_string (const char *s); + +knot_diagram +parse_knot (const char *s) +{ + knot_scan_string (s); + + knot_diagram d; + yy::knot_parser parser (d); + parser.parse (); + + return d; +} diff --git a/knot_parser/knot_parser_driver.h b/knot_parser/knot_parser_driver.h new file mode 100644 index 0000000..76325cf --- /dev/null +++ b/knot_parser/knot_parser_driver.h @@ -0,0 +1,2 @@ + +knot_diagram parse_knot (const char *s); diff --git a/knot_parser/knot_scanner.cc b/knot_parser/knot_scanner.cc new file mode 100644 index 0000000..a34f5dd --- /dev/null +++ b/knot_parser/knot_scanner.cc @@ -0,0 +1,1782 @@ +#line 2 "knot_parser/knot_scanner.cc" + +#line 4 "knot_parser/knot_scanner.cc" + +#define YY_INT_ALIGNED short int + +/* A lexical scanner generated by flex */ + +#define yy_create_buffer knot_yy_create_buffer +#define yy_delete_buffer knot_yy_delete_buffer +#define yy_flex_debug knot_yy_flex_debug +#define yy_init_buffer knot_yy_init_buffer +#define yy_flush_buffer knot_yy_flush_buffer +#define yy_load_buffer_state knot_yy_load_buffer_state +#define yy_switch_to_buffer knot_yy_switch_to_buffer +#define yyin knot_yyin +#define yyleng knot_yyleng +#define yylex knot_yylex +#define yylineno knot_yylineno +#define yyout knot_yyout +#define yyrestart knot_yyrestart +#define yytext knot_yytext +#define yywrap knot_yywrap +#define yyalloc knot_yyalloc +#define yyrealloc knot_yyrealloc +#define yyfree knot_yyfree + +#define FLEX_SCANNER +#define YY_FLEX_MAJOR_VERSION 2 +#define YY_FLEX_MINOR_VERSION 5 +#define YY_FLEX_SUBMINOR_VERSION 35 +#if YY_FLEX_SUBMINOR_VERSION > 0 +#define FLEX_BETA +#endif + +/* First, we deal with platform-specific or compiler-specific issues. */ + +/* begin standard C headers. */ +#include +#include +#include +#include + +/* end standard C headers. */ + +/* flex integer type definitions */ + +#ifndef FLEXINT_H +#define FLEXINT_H + +/* C99 systems have . Non-C99 systems may or may not. */ + +#if defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L + +/* C99 says to define __STDC_LIMIT_MACROS before including stdint.h, + * if you want the limit (max/min) macros for int types. + */ +#ifndef __STDC_LIMIT_MACROS +#define __STDC_LIMIT_MACROS 1 +#endif + +#include +typedef int8_t flex_int8_t; +typedef uint8_t flex_uint8_t; +typedef int16_t flex_int16_t; +typedef uint16_t flex_uint16_t; +typedef int32_t flex_int32_t; +typedef uint32_t flex_uint32_t; +#else +typedef signed char flex_int8_t; +typedef short int flex_int16_t; +typedef int flex_int32_t; +typedef unsigned char flex_uint8_t; +typedef unsigned short int flex_uint16_t; +typedef unsigned int flex_uint32_t; +#endif /* ! C99 */ + +/* Limits of integral types. */ +#ifndef INT8_MIN +#define INT8_MIN (-128) +#endif +#ifndef INT16_MIN +#define INT16_MIN (-32767-1) +#endif +#ifndef INT32_MIN +#define INT32_MIN (-2147483647-1) +#endif +#ifndef INT8_MAX +#define INT8_MAX (127) +#endif +#ifndef INT16_MAX +#define INT16_MAX (32767) +#endif +#ifndef INT32_MAX +#define INT32_MAX (2147483647) +#endif +#ifndef UINT8_MAX +#define UINT8_MAX (255U) +#endif +#ifndef UINT16_MAX +#define UINT16_MAX (65535U) +#endif +#ifndef UINT32_MAX +#define UINT32_MAX (4294967295U) +#endif + +#endif /* ! FLEXINT_H */ + +#ifdef __cplusplus + +/* The "const" storage-class-modifier is valid. */ +#define YY_USE_CONST + +#else /* ! __cplusplus */ + +/* C99 requires __STDC__ to be defined as 1. */ +#if defined (__STDC__) + +#define YY_USE_CONST + +#endif /* defined (__STDC__) */ +#endif /* ! __cplusplus */ + +#ifdef YY_USE_CONST +#define yyconst const +#else +#define yyconst +#endif + +/* Returned upon end-of-file. */ +#define YY_NULL 0 + +/* Promotes a possibly negative, possibly signed char to an unsigned + * integer for use as an array index. If the signed char is negative, + * we want to instead treat it as an 8-bit unsigned char, hence the + * double cast. + */ +#define YY_SC_TO_UI(c) ((unsigned int) (unsigned char) c) + +/* Enter a start condition. This macro really ought to take a parameter, + * but we do it the disgusting crufty way forced on us by the ()-less + * definition of BEGIN. + */ +#define BEGIN (yy_start) = 1 + 2 * + +/* Translate the current start state into a value that can be later handed + * to BEGIN to return to the state. The YYSTATE alias is for lex + * compatibility. + */ +#define YY_START (((yy_start) - 1) / 2) +#define YYSTATE YY_START + +/* Action number for EOF rule of a given start state. */ +#define YY_STATE_EOF(state) (YY_END_OF_BUFFER + state + 1) + +/* Special action meaning "start processing a new file". */ +#define YY_NEW_FILE knot_yyrestart(knot_yyin ) + +#define YY_END_OF_BUFFER_CHAR 0 + +/* Size of default input buffer. */ +#ifndef YY_BUF_SIZE +#define YY_BUF_SIZE 16384 +#endif + +/* The state buf must be large enough to hold one state per character in the main buffer. + */ +#define YY_STATE_BUF_SIZE ((YY_BUF_SIZE + 2) * sizeof(yy_state_type)) + +#ifndef YY_TYPEDEF_YY_BUFFER_STATE +#define YY_TYPEDEF_YY_BUFFER_STATE +typedef struct yy_buffer_state *YY_BUFFER_STATE; +#endif + +extern int knot_yyleng; + +extern FILE *knot_yyin, *knot_yyout; + +#define EOB_ACT_CONTINUE_SCAN 0 +#define EOB_ACT_END_OF_FILE 1 +#define EOB_ACT_LAST_MATCH 2 + + #define YY_LESS_LINENO(n) + +/* Return all but the first "n" matched characters back to the input stream. */ +#define yyless(n) \ + do \ + { \ + /* Undo effects of setting up knot_yytext. */ \ + int yyless_macro_arg = (n); \ + YY_LESS_LINENO(yyless_macro_arg);\ + *yy_cp = (yy_hold_char); \ + YY_RESTORE_YY_MORE_OFFSET \ + (yy_c_buf_p) = yy_cp = yy_bp + yyless_macro_arg - YY_MORE_ADJ; \ + YY_DO_BEFORE_ACTION; /* set up knot_yytext again */ \ + } \ + while ( 0 ) + +#define unput(c) yyunput( c, (yytext_ptr) ) + +#ifndef YY_TYPEDEF_YY_SIZE_T +#define YY_TYPEDEF_YY_SIZE_T +typedef size_t yy_size_t; +#endif + +#ifndef YY_STRUCT_YY_BUFFER_STATE +#define YY_STRUCT_YY_BUFFER_STATE +struct yy_buffer_state + { + FILE *yy_input_file; + + char *yy_ch_buf; /* input buffer */ + char *yy_buf_pos; /* current position in input buffer */ + + /* Size of input buffer in bytes, not including room for EOB + * characters. + */ + yy_size_t yy_buf_size; + + /* Number of characters read into yy_ch_buf, not including EOB + * characters. + */ + int yy_n_chars; + + /* Whether we "own" the buffer - i.e., we know we created it, + * and can realloc() it to grow it, and should free() it to + * delete it. + */ + int yy_is_our_buffer; + + /* Whether this is an "interactive" input source; if so, and + * if we're using stdio for input, then we want to use getc() + * instead of fread(), to make sure we stop fetching input after + * each newline. + */ + int yy_is_interactive; + + /* Whether we're considered to be at the beginning of a line. + * If so, '^' rules will be active on the next match, otherwise + * not. + */ + int yy_at_bol; + + int yy_bs_lineno; /**< The line count. */ + int yy_bs_column; /**< The column count. */ + + /* Whether to try to fill the input buffer when we reach the + * end of it. + */ + int yy_fill_buffer; + + int yy_buffer_status; + +#define YY_BUFFER_NEW 0 +#define YY_BUFFER_NORMAL 1 + /* When an EOF's been seen but there's still some text to process + * then we mark the buffer as YY_EOF_PENDING, to indicate that we + * shouldn't try reading from the input source any more. We might + * still have a bunch of tokens to match, though, because of + * possible backing-up. + * + * When we actually see the EOF, we change the status to "new" + * (via knot_yyrestart()), so that the user can continue scanning by + * just pointing knot_yyin at a new input file. + */ +#define YY_BUFFER_EOF_PENDING 2 + + }; +#endif /* !YY_STRUCT_YY_BUFFER_STATE */ + +/* Stack of input buffers. */ +static size_t yy_buffer_stack_top = 0; /**< index of top of stack. */ +static size_t yy_buffer_stack_max = 0; /**< capacity of stack. */ +static YY_BUFFER_STATE * yy_buffer_stack = 0; /**< Stack as an array. */ + +/* We provide macros for accessing buffer states in case in the + * future we want to put the buffer states in a more general + * "scanner state". + * + * Returns the top of the stack, or NULL. + */ +#define YY_CURRENT_BUFFER ( (yy_buffer_stack) \ + ? (yy_buffer_stack)[(yy_buffer_stack_top)] \ + : NULL) + +/* Same as previous macro, but useful when we know that the buffer stack is not + * NULL or when we need an lvalue. For internal use only. + */ +#define YY_CURRENT_BUFFER_LVALUE (yy_buffer_stack)[(yy_buffer_stack_top)] + +/* yy_hold_char holds the character lost when knot_yytext is formed. */ +static char yy_hold_char; +static int yy_n_chars; /* number of characters read into yy_ch_buf */ +int knot_yyleng; + +/* Points to current character in buffer. */ +static char *yy_c_buf_p = (char *) 0; +static int yy_init = 0; /* whether we need to initialize */ +static int yy_start = 0; /* start state number */ + +/* Flag which is used to allow knot_yywrap()'s to do buffer switches + * instead of setting up a fresh knot_yyin. A bit of a hack ... + */ +static int yy_did_buffer_switch_on_eof; + +void knot_yyrestart (FILE *input_file ); +void knot_yy_switch_to_buffer (YY_BUFFER_STATE new_buffer ); +YY_BUFFER_STATE knot_yy_create_buffer (FILE *file,int size ); +void knot_yy_delete_buffer (YY_BUFFER_STATE b ); +void knot_yy_flush_buffer (YY_BUFFER_STATE b ); +void knot_yypush_buffer_state (YY_BUFFER_STATE new_buffer ); +void knot_yypop_buffer_state (void ); + +static void knot_yyensure_buffer_stack (void ); +static void knot_yy_load_buffer_state (void ); +static void knot_yy_init_buffer (YY_BUFFER_STATE b,FILE *file ); + +#define YY_FLUSH_BUFFER knot_yy_flush_buffer(YY_CURRENT_BUFFER ) + +YY_BUFFER_STATE knot_yy_scan_buffer (char *base,yy_size_t size ); +YY_BUFFER_STATE knot_yy_scan_string (yyconst char *yy_str ); +YY_BUFFER_STATE knot_yy_scan_bytes (yyconst char *bytes,int len ); + +void *knot_yyalloc (yy_size_t ); +void *knot_yyrealloc (void *,yy_size_t ); +void knot_yyfree (void * ); + +#define yy_new_buffer knot_yy_create_buffer + +#define yy_set_interactive(is_interactive) \ + { \ + if ( ! YY_CURRENT_BUFFER ){ \ + knot_yyensure_buffer_stack (); \ + YY_CURRENT_BUFFER_LVALUE = \ + knot_yy_create_buffer(knot_yyin,YY_BUF_SIZE ); \ + } \ + YY_CURRENT_BUFFER_LVALUE->yy_is_interactive = is_interactive; \ + } + +#define yy_set_bol(at_bol) \ + { \ + if ( ! YY_CURRENT_BUFFER ){\ + knot_yyensure_buffer_stack (); \ + YY_CURRENT_BUFFER_LVALUE = \ + knot_yy_create_buffer(knot_yyin,YY_BUF_SIZE ); \ + } \ + YY_CURRENT_BUFFER_LVALUE->yy_at_bol = at_bol; \ + } + +#define YY_AT_BOL() (YY_CURRENT_BUFFER_LVALUE->yy_at_bol) + +/* Begin user sect3 */ + +#define knot_yywrap(n) 1 +#define YY_SKIP_YYWRAP + +typedef unsigned char YY_CHAR; + +FILE *knot_yyin = (FILE *) 0, *knot_yyout = (FILE *) 0; + +typedef int yy_state_type; + +extern int knot_yylineno; + +int knot_yylineno = 1; + +extern char *knot_yytext; +#define yytext_ptr knot_yytext + +static yy_state_type yy_get_previous_state (void ); +static yy_state_type yy_try_NUL_trans (yy_state_type current_state ); +static int yy_get_next_buffer (void ); +static void yy_fatal_error (yyconst char msg[] ); + +/* Done after the current pattern has been matched and before the + * corresponding action - sets up knot_yytext. + */ +#define YY_DO_BEFORE_ACTION \ + (yytext_ptr) = yy_bp; \ + knot_yyleng = (size_t) (yy_cp - yy_bp); \ + (yy_hold_char) = *yy_cp; \ + *yy_cp = '\0'; \ + (yy_c_buf_p) = yy_cp; + +#define YY_NUM_RULES 5 +#define YY_END_OF_BUFFER 6 +/* This struct is not used in this scanner, + but its presence is necessary. */ +struct yy_trans_info + { + flex_int32_t yy_verify; + flex_int32_t yy_nxt; + }; +static yyconst flex_int16_t yy_accept[13] = + { 0, + 0, 0, 6, 4, 3, 3, 4, 1, 2, 1, + 2, 0 + } ; + +static yyconst flex_int32_t yy_ec[256] = + { 0, + 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, + 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 4, 1, 1, 5, 5, 5, + 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, + 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, + 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, + + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1 + } ; + +static yyconst flex_int32_t yy_meta[7] = + { 0, + 1, 1, 1, 1, 2, 3 + } ; + +static yyconst flex_int16_t yy_base[15] = + { 0, + 0, 0, 9, 10, 10, 10, 0, 0, 0, 0, + 0, 10, 6, 4 + } ; + +static yyconst flex_int16_t yy_def[15] = + { 0, + 12, 1, 12, 12, 12, 12, 13, 13, 14, 13, + 14, 0, 12, 12 + } ; + +static yyconst flex_int16_t yy_nxt[17] = + { 0, + 4, 5, 6, 7, 8, 9, 11, 10, 12, 3, + 12, 12, 12, 12, 12, 12 + } ; + +static yyconst flex_int16_t yy_chk[17] = + { 0, + 1, 1, 1, 1, 1, 1, 14, 13, 3, 12, + 12, 12, 12, 12, 12, 12 + } ; + +static yy_state_type yy_last_accepting_state; +static char *yy_last_accepting_cpos; + +extern int knot_yy_flex_debug; +int knot_yy_flex_debug = 0; + +/* The intent behind this definition is that it'll catch + * any uses of REJECT which flex missed. + */ +#define REJECT reject_used_but_not_detected +#define yymore() yymore_used_but_not_detected +#define YY_MORE_ADJ 0 +#define YY_RESTORE_YY_MORE_OFFSET +char *knot_yytext; +#line 1 "knot_parser/knot_scanner.ll" +#line 3 "knot_parser/knot_scanner.ll" +#include "knot_parser.hh" + +#define YY_DECL \ + yy::knot_parser::token_type knot_yylex (yy::knot_parser::semantic_type *yylval) + +#define yyterminate() return token::END + +typedef yy::knot_parser::token token; +typedef yy::knot_parser::token_type token_type; +#line 487 "knot_parser/knot_scanner.cc" + +#define INITIAL 0 + +#ifndef YY_NO_UNISTD_H +/* Special case for "unistd.h", since it is non-ANSI. We include it way + * down here because we want the user's section 1 to have been scanned first. + * The user has a chance to override it with an option. + */ +#include +#endif + +#ifndef YY_EXTRA_TYPE +#define YY_EXTRA_TYPE void * +#endif + +static int yy_init_globals (void ); + +/* Accessor methods to globals. + These are made visible to non-reentrant scanners for convenience. */ + +int knot_yylex_destroy (void ); + +int knot_yyget_debug (void ); + +void knot_yyset_debug (int debug_flag ); + +YY_EXTRA_TYPE knot_yyget_extra (void ); + +void knot_yyset_extra (YY_EXTRA_TYPE user_defined ); + +FILE *knot_yyget_in (void ); + +void knot_yyset_in (FILE * in_str ); + +FILE *knot_yyget_out (void ); + +void knot_yyset_out (FILE * out_str ); + +int knot_yyget_leng (void ); + +char *knot_yyget_text (void ); + +int knot_yyget_lineno (void ); + +void knot_yyset_lineno (int line_number ); + +/* Macros after this point can all be overridden by user definitions in + * section 1. + */ + +#ifndef YY_SKIP_YYWRAP +#ifdef __cplusplus +extern "C" int knot_yywrap (void ); +#else +extern int knot_yywrap (void ); +#endif +#endif + +#ifndef yytext_ptr +static void yy_flex_strncpy (char *,yyconst char *,int ); +#endif + +#ifdef YY_NEED_STRLEN +static int yy_flex_strlen (yyconst char * ); +#endif + +#ifndef YY_NO_INPUT + +#ifdef __cplusplus +static int yyinput (void ); +#else +static int input (void ); +#endif + +#endif + +/* Amount of stuff to slurp up with each read. */ +#ifndef YY_READ_BUF_SIZE +#define YY_READ_BUF_SIZE 8192 +#endif + +/* Copy whatever the last rule matched to the standard output. */ +#ifndef ECHO +/* This used to be an fputs(), but since the string might contain NUL's, + * we now use fwrite(). + */ +#define ECHO fwrite( knot_yytext, knot_yyleng, 1, knot_yyout ) +#endif + +/* Gets input and stuffs it into "buf". number of characters read, or YY_NULL, + * is returned in "result". + */ +#ifndef YY_INPUT +#define YY_INPUT(buf,result,max_size) \ + if ( YY_CURRENT_BUFFER_LVALUE->yy_is_interactive ) \ + { \ + int c = '*'; \ + int n; \ + for ( n = 0; n < max_size && \ + (c = getc( knot_yyin )) != EOF && c != '\n'; ++n ) \ + buf[n] = (char) c; \ + if ( c == '\n' ) \ + buf[n++] = (char) c; \ + if ( c == EOF && ferror( knot_yyin ) ) \ + YY_FATAL_ERROR( "input in flex scanner failed" ); \ + result = n; \ + } \ + else \ + { \ + errno=0; \ + while ( (result = fread(buf, 1, max_size, knot_yyin))==0 && ferror(knot_yyin)) \ + { \ + if( errno != EINTR) \ + { \ + YY_FATAL_ERROR( "input in flex scanner failed" ); \ + break; \ + } \ + errno=0; \ + clearerr(knot_yyin); \ + } \ + }\ +\ + +#endif + +/* No semi-colon after return; correct usage is to write "yyterminate();" - + * we don't want an extra ';' after the "return" because that will cause + * some compilers to complain about unreachable statements. + */ +#ifndef yyterminate +#define yyterminate() return YY_NULL +#endif + +/* Number of entries by which start-condition stack grows. */ +#ifndef YY_START_STACK_INCR +#define YY_START_STACK_INCR 25 +#endif + +/* Report a fatal error. */ +#ifndef YY_FATAL_ERROR +#define YY_FATAL_ERROR(msg) yy_fatal_error( msg ) +#endif + +/* end tables serialization structures and prototypes */ + +/* Default declaration of generated scanner - a define so the user can + * easily add parameters. + */ +#ifndef YY_DECL +#define YY_DECL_IS_OURS 1 + +extern int knot_yylex (void); + +#define YY_DECL int knot_yylex (void) +#endif /* !YY_DECL */ + +/* Code executed at the beginning of each rule, after knot_yytext and knot_yyleng + * have been set up. + */ +#ifndef YY_USER_ACTION +#define YY_USER_ACTION +#endif + +/* Code executed at the end of each rule. */ +#ifndef YY_BREAK +#define YY_BREAK break; +#endif + +#define YY_RULE_SETUP \ + YY_USER_ACTION + +/** The main scanner function which does all the work. + */ +YY_DECL +{ + register yy_state_type yy_current_state; + register char *yy_cp, *yy_bp; + register int yy_act; + +#line 16 "knot_parser/knot_scanner.ll" + + +#line 670 "knot_parser/knot_scanner.cc" + + if ( !(yy_init) ) + { + (yy_init) = 1; + +#ifdef YY_USER_INIT + YY_USER_INIT; +#endif + + if ( ! (yy_start) ) + (yy_start) = 1; /* first start state */ + + if ( ! knot_yyin ) + knot_yyin = stdin; + + if ( ! knot_yyout ) + knot_yyout = stdout; + + if ( ! YY_CURRENT_BUFFER ) { + knot_yyensure_buffer_stack (); + YY_CURRENT_BUFFER_LVALUE = + knot_yy_create_buffer(knot_yyin,YY_BUF_SIZE ); + } + + knot_yy_load_buffer_state( ); + } + + while ( 1 ) /* loops until end-of-file is reached */ + { + yy_cp = (yy_c_buf_p); + + /* Support of knot_yytext. */ + *yy_cp = (yy_hold_char); + + /* yy_bp points to the position in yy_ch_buf of the start of + * the current run. + */ + yy_bp = yy_cp; + + yy_current_state = (yy_start); +yy_match: + do + { + register YY_CHAR yy_c = yy_ec[YY_SC_TO_UI(*yy_cp)]; + if ( yy_accept[yy_current_state] ) + { + (yy_last_accepting_state) = yy_current_state; + (yy_last_accepting_cpos) = yy_cp; + } + while ( yy_chk[yy_base[yy_current_state] + yy_c] != yy_current_state ) + { + yy_current_state = (int) yy_def[yy_current_state]; + if ( yy_current_state >= 13 ) + yy_c = yy_meta[(unsigned int) yy_c]; + } + yy_current_state = yy_nxt[yy_base[yy_current_state] + (unsigned int) yy_c]; + ++yy_cp; + } + while ( yy_current_state != 12 ); + yy_cp = (yy_last_accepting_cpos); + yy_current_state = (yy_last_accepting_state); + +yy_find_action: + yy_act = yy_accept[yy_current_state]; + + YY_DO_BEFORE_ACTION; + +do_action: /* This label is used only to access EOF actions. */ + + switch ( yy_act ) + { /* beginning of action switch */ + case 0: /* must back up */ + /* undo the effects of YY_DO_BEFORE_ACTION */ + *yy_cp = (yy_hold_char); + yy_cp = (yy_last_accepting_cpos); + yy_current_state = (yy_last_accepting_state); + goto yy_find_action; + +case 1: +YY_RULE_SETUP +#line 18 "knot_parser/knot_scanner.ll" +{ + yylval->integer = atoi (knot_yytext); + return token::INT; + } + YY_BREAK +case 2: +YY_RULE_SETUP +#line 23 "knot_parser/knot_scanner.ll" +{ + if (!strcmp (knot_yytext, "a")) + { + yylval->alternating = 1; + return token::ALT; + } + else if (!strcmp (knot_yytext, "L")) + return token::LINK; + else if (!strcmp (knot_yytext, "n")) + { + yylval->alternating = 0; + return token::NONALT; + } + else if (!strcmp (knot_yytext, "T")) + return token::T; + else if (!strcmp (knot_yytext, "U") + || !strcmp (knot_yytext, "unknot")) + return token::UNKNOT; + else if (!strcmp (knot_yytext, "X")) + return token::X; + else if (!strcmp (knot_yytext, "BR")) + return token::BR; + else if (!strcmp (knot_yytext, "PD")) + return token::PD; + else if (!strcmp (knot_yytext, "DT") + || !strcmp (knot_yytext, "DTCode")) + return token::DT; + else if (!strcmp (knot_yytext, "BR")) + return token::BR; + else + { + yylval->string = strdup (knot_yytext); + return token::STRING; + } +} + YY_BREAK +case 3: +/* rule 3 can match eol */ +YY_RULE_SETUP +#line 59 "knot_parser/knot_scanner.ll" +/* ignore */ + YY_BREAK +case 4: +YY_RULE_SETUP +#line 61 "knot_parser/knot_scanner.ll" +{ return token_type (knot_yytext[0]); } + YY_BREAK +case 5: +YY_RULE_SETUP +#line 63 "knot_parser/knot_scanner.ll" +ECHO; + YY_BREAK +#line 812 "knot_parser/knot_scanner.cc" +case YY_STATE_EOF(INITIAL): + yyterminate(); + + case YY_END_OF_BUFFER: + { + /* Amount of text matched not including the EOB char. */ + int yy_amount_of_matched_text = (int) (yy_cp - (yytext_ptr)) - 1; + + /* Undo the effects of YY_DO_BEFORE_ACTION. */ + *yy_cp = (yy_hold_char); + YY_RESTORE_YY_MORE_OFFSET + + if ( YY_CURRENT_BUFFER_LVALUE->yy_buffer_status == YY_BUFFER_NEW ) + { + /* We're scanning a new file or input source. It's + * possible that this happened because the user + * just pointed knot_yyin at a new source and called + * knot_yylex(). If so, then we have to assure + * consistency between YY_CURRENT_BUFFER and our + * globals. Here is the right place to do so, because + * this is the first action (other than possibly a + * back-up) that will match for the new input source. + */ + (yy_n_chars) = YY_CURRENT_BUFFER_LVALUE->yy_n_chars; + YY_CURRENT_BUFFER_LVALUE->yy_input_file = knot_yyin; + YY_CURRENT_BUFFER_LVALUE->yy_buffer_status = YY_BUFFER_NORMAL; + } + + /* Note that here we test for yy_c_buf_p "<=" to the position + * of the first EOB in the buffer, since yy_c_buf_p will + * already have been incremented past the NUL character + * (since all states make transitions on EOB to the + * end-of-buffer state). Contrast this with the test + * in input(). + */ + if ( (yy_c_buf_p) <= &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars)] ) + { /* This was really a NUL. */ + yy_state_type yy_next_state; + + (yy_c_buf_p) = (yytext_ptr) + yy_amount_of_matched_text; + + yy_current_state = yy_get_previous_state( ); + + /* Okay, we're now positioned to make the NUL + * transition. We couldn't have + * yy_get_previous_state() go ahead and do it + * for us because it doesn't know how to deal + * with the possibility of jamming (and we don't + * want to build jamming into it because then it + * will run more slowly). + */ + + yy_next_state = yy_try_NUL_trans( yy_current_state ); + + yy_bp = (yytext_ptr) + YY_MORE_ADJ; + + if ( yy_next_state ) + { + /* Consume the NUL. */ + yy_cp = ++(yy_c_buf_p); + yy_current_state = yy_next_state; + goto yy_match; + } + + else + { + yy_cp = (yy_last_accepting_cpos); + yy_current_state = (yy_last_accepting_state); + goto yy_find_action; + } + } + + else switch ( yy_get_next_buffer( ) ) + { + case EOB_ACT_END_OF_FILE: + { + (yy_did_buffer_switch_on_eof) = 0; + + if ( knot_yywrap( ) ) + { + /* Note: because we've taken care in + * yy_get_next_buffer() to have set up + * knot_yytext, we can now set up + * yy_c_buf_p so that if some total + * hoser (like flex itself) wants to + * call the scanner after we return the + * YY_NULL, it'll still work - another + * YY_NULL will get returned. + */ + (yy_c_buf_p) = (yytext_ptr) + YY_MORE_ADJ; + + yy_act = YY_STATE_EOF(YY_START); + goto do_action; + } + + else + { + if ( ! (yy_did_buffer_switch_on_eof) ) + YY_NEW_FILE; + } + break; + } + + case EOB_ACT_CONTINUE_SCAN: + (yy_c_buf_p) = + (yytext_ptr) + yy_amount_of_matched_text; + + yy_current_state = yy_get_previous_state( ); + + yy_cp = (yy_c_buf_p); + yy_bp = (yytext_ptr) + YY_MORE_ADJ; + goto yy_match; + + case EOB_ACT_LAST_MATCH: + (yy_c_buf_p) = + &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars)]; + + yy_current_state = yy_get_previous_state( ); + + yy_cp = (yy_c_buf_p); + yy_bp = (yytext_ptr) + YY_MORE_ADJ; + goto yy_find_action; + } + break; + } + + default: + YY_FATAL_ERROR( + "fatal flex scanner internal error--no action found" ); + } /* end of action switch */ + } /* end of scanning one token */ +} /* end of knot_yylex */ + +/* yy_get_next_buffer - try to read in a new buffer + * + * Returns a code representing an action: + * EOB_ACT_LAST_MATCH - + * EOB_ACT_CONTINUE_SCAN - continue scanning from current position + * EOB_ACT_END_OF_FILE - end of file + */ +static int yy_get_next_buffer (void) +{ + register char *dest = YY_CURRENT_BUFFER_LVALUE->yy_ch_buf; + register char *source = (yytext_ptr); + register int number_to_move, i; + int ret_val; + + if ( (yy_c_buf_p) > &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars) + 1] ) + YY_FATAL_ERROR( + "fatal flex scanner internal error--end of buffer missed" ); + + if ( YY_CURRENT_BUFFER_LVALUE->yy_fill_buffer == 0 ) + { /* Don't try to fill the buffer, so this is an EOF. */ + if ( (yy_c_buf_p) - (yytext_ptr) - YY_MORE_ADJ == 1 ) + { + /* We matched a single character, the EOB, so + * treat this as a final EOF. + */ + return EOB_ACT_END_OF_FILE; + } + + else + { + /* We matched some text prior to the EOB, first + * process it. + */ + return EOB_ACT_LAST_MATCH; + } + } + + /* Try to read more data. */ + + /* First move last chars to start of buffer. */ + number_to_move = (int) ((yy_c_buf_p) - (yytext_ptr)) - 1; + + for ( i = 0; i < number_to_move; ++i ) + *(dest++) = *(source++); + + if ( YY_CURRENT_BUFFER_LVALUE->yy_buffer_status == YY_BUFFER_EOF_PENDING ) + /* don't do the read, it's not guaranteed to return an EOF, + * just force an EOF + */ + YY_CURRENT_BUFFER_LVALUE->yy_n_chars = (yy_n_chars) = 0; + + else + { + int num_to_read = + YY_CURRENT_BUFFER_LVALUE->yy_buf_size - number_to_move - 1; + + while ( num_to_read <= 0 ) + { /* Not enough room in the buffer - grow it. */ + + /* just a shorter name for the current buffer */ + YY_BUFFER_STATE b = YY_CURRENT_BUFFER; + + int yy_c_buf_p_offset = + (int) ((yy_c_buf_p) - b->yy_ch_buf); + + if ( b->yy_is_our_buffer ) + { + int new_size = b->yy_buf_size * 2; + + if ( new_size <= 0 ) + b->yy_buf_size += b->yy_buf_size / 8; + else + b->yy_buf_size *= 2; + + b->yy_ch_buf = (char *) + /* Include room in for 2 EOB chars. */ + knot_yyrealloc((void *) b->yy_ch_buf,b->yy_buf_size + 2 ); + } + else + /* Can't grow it, we don't own it. */ + b->yy_ch_buf = 0; + + if ( ! b->yy_ch_buf ) + YY_FATAL_ERROR( + "fatal error - scanner input buffer overflow" ); + + (yy_c_buf_p) = &b->yy_ch_buf[yy_c_buf_p_offset]; + + num_to_read = YY_CURRENT_BUFFER_LVALUE->yy_buf_size - + number_to_move - 1; + + } + + if ( num_to_read > YY_READ_BUF_SIZE ) + num_to_read = YY_READ_BUF_SIZE; + + /* Read in more data. */ + YY_INPUT( (&YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[number_to_move]), + (yy_n_chars), (size_t) num_to_read ); + + YY_CURRENT_BUFFER_LVALUE->yy_n_chars = (yy_n_chars); + } + + if ( (yy_n_chars) == 0 ) + { + if ( number_to_move == YY_MORE_ADJ ) + { + ret_val = EOB_ACT_END_OF_FILE; + knot_yyrestart(knot_yyin ); + } + + else + { + ret_val = EOB_ACT_LAST_MATCH; + YY_CURRENT_BUFFER_LVALUE->yy_buffer_status = + YY_BUFFER_EOF_PENDING; + } + } + + else + ret_val = EOB_ACT_CONTINUE_SCAN; + + if ((yy_size_t) ((yy_n_chars) + number_to_move) > YY_CURRENT_BUFFER_LVALUE->yy_buf_size) { + /* Extend the array by 50%, plus the number we really need. */ + yy_size_t new_size = (yy_n_chars) + number_to_move + ((yy_n_chars) >> 1); + YY_CURRENT_BUFFER_LVALUE->yy_ch_buf = (char *) knot_yyrealloc((void *) YY_CURRENT_BUFFER_LVALUE->yy_ch_buf,new_size ); + if ( ! YY_CURRENT_BUFFER_LVALUE->yy_ch_buf ) + YY_FATAL_ERROR( "out of dynamic memory in yy_get_next_buffer()" ); + } + + (yy_n_chars) += number_to_move; + YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars)] = YY_END_OF_BUFFER_CHAR; + YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars) + 1] = YY_END_OF_BUFFER_CHAR; + + (yytext_ptr) = &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[0]; + + return ret_val; +} + +/* yy_get_previous_state - get the state just before the EOB char was reached */ + + static yy_state_type yy_get_previous_state (void) +{ + register yy_state_type yy_current_state; + register char *yy_cp; + + yy_current_state = (yy_start); + + for ( yy_cp = (yytext_ptr) + YY_MORE_ADJ; yy_cp < (yy_c_buf_p); ++yy_cp ) + { + register YY_CHAR yy_c = (*yy_cp ? yy_ec[YY_SC_TO_UI(*yy_cp)] : 1); + if ( yy_accept[yy_current_state] ) + { + (yy_last_accepting_state) = yy_current_state; + (yy_last_accepting_cpos) = yy_cp; + } + while ( yy_chk[yy_base[yy_current_state] + yy_c] != yy_current_state ) + { + yy_current_state = (int) yy_def[yy_current_state]; + if ( yy_current_state >= 13 ) + yy_c = yy_meta[(unsigned int) yy_c]; + } + yy_current_state = yy_nxt[yy_base[yy_current_state] + (unsigned int) yy_c]; + } + + return yy_current_state; +} + +/* yy_try_NUL_trans - try to make a transition on the NUL character + * + * synopsis + * next_state = yy_try_NUL_trans( current_state ); + */ + static yy_state_type yy_try_NUL_trans (yy_state_type yy_current_state ) +{ + register int yy_is_jam; + register char *yy_cp = (yy_c_buf_p); + + register YY_CHAR yy_c = 1; + if ( yy_accept[yy_current_state] ) + { + (yy_last_accepting_state) = yy_current_state; + (yy_last_accepting_cpos) = yy_cp; + } + while ( yy_chk[yy_base[yy_current_state] + yy_c] != yy_current_state ) + { + yy_current_state = (int) yy_def[yy_current_state]; + if ( yy_current_state >= 13 ) + yy_c = yy_meta[(unsigned int) yy_c]; + } + yy_current_state = yy_nxt[yy_base[yy_current_state] + (unsigned int) yy_c]; + yy_is_jam = (yy_current_state == 12); + + return yy_is_jam ? 0 : yy_current_state; +} + +#ifndef YY_NO_INPUT +#ifdef __cplusplus + static int yyinput (void) +#else + static int input (void) +#endif + +{ + int c; + + *(yy_c_buf_p) = (yy_hold_char); + + if ( *(yy_c_buf_p) == YY_END_OF_BUFFER_CHAR ) + { + /* yy_c_buf_p now points to the character we want to return. + * If this occurs *before* the EOB characters, then it's a + * valid NUL; if not, then we've hit the end of the buffer. + */ + if ( (yy_c_buf_p) < &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars)] ) + /* This was really a NUL. */ + *(yy_c_buf_p) = '\0'; + + else + { /* need more input */ + int offset = (yy_c_buf_p) - (yytext_ptr); + ++(yy_c_buf_p); + + switch ( yy_get_next_buffer( ) ) + { + case EOB_ACT_LAST_MATCH: + /* This happens because yy_g_n_b() + * sees that we've accumulated a + * token and flags that we need to + * try matching the token before + * proceeding. But for input(), + * there's no matching to consider. + * So convert the EOB_ACT_LAST_MATCH + * to EOB_ACT_END_OF_FILE. + */ + + /* Reset buffer status. */ + knot_yyrestart(knot_yyin ); + + /*FALLTHROUGH*/ + + case EOB_ACT_END_OF_FILE: + { + if ( knot_yywrap( ) ) + return EOF; + + if ( ! (yy_did_buffer_switch_on_eof) ) + YY_NEW_FILE; +#ifdef __cplusplus + return yyinput(); +#else + return input(); +#endif + } + + case EOB_ACT_CONTINUE_SCAN: + (yy_c_buf_p) = (yytext_ptr) + offset; + break; + } + } + } + + c = *(unsigned char *) (yy_c_buf_p); /* cast for 8-bit char's */ + *(yy_c_buf_p) = '\0'; /* preserve knot_yytext */ + (yy_hold_char) = *++(yy_c_buf_p); + + return c; +} +#endif /* ifndef YY_NO_INPUT */ + +/** Immediately switch to a different input stream. + * @param input_file A readable stream. + * + * @note This function does not reset the start condition to @c INITIAL . + */ + void knot_yyrestart (FILE * input_file ) +{ + + if ( ! YY_CURRENT_BUFFER ){ + knot_yyensure_buffer_stack (); + YY_CURRENT_BUFFER_LVALUE = + knot_yy_create_buffer(knot_yyin,YY_BUF_SIZE ); + } + + knot_yy_init_buffer(YY_CURRENT_BUFFER,input_file ); + knot_yy_load_buffer_state( ); +} + +/** Switch to a different input buffer. + * @param new_buffer The new input buffer. + * + */ + void knot_yy_switch_to_buffer (YY_BUFFER_STATE new_buffer ) +{ + + /* TODO. We should be able to replace this entire function body + * with + * knot_yypop_buffer_state(); + * knot_yypush_buffer_state(new_buffer); + */ + knot_yyensure_buffer_stack (); + if ( YY_CURRENT_BUFFER == new_buffer ) + return; + + if ( YY_CURRENT_BUFFER ) + { + /* Flush out information for old buffer. */ + *(yy_c_buf_p) = (yy_hold_char); + YY_CURRENT_BUFFER_LVALUE->yy_buf_pos = (yy_c_buf_p); + YY_CURRENT_BUFFER_LVALUE->yy_n_chars = (yy_n_chars); + } + + YY_CURRENT_BUFFER_LVALUE = new_buffer; + knot_yy_load_buffer_state( ); + + /* We don't actually know whether we did this switch during + * EOF (knot_yywrap()) processing, but the only time this flag + * is looked at is after knot_yywrap() is called, so it's safe + * to go ahead and always set it. + */ + (yy_did_buffer_switch_on_eof) = 1; +} + +static void knot_yy_load_buffer_state (void) +{ + (yy_n_chars) = YY_CURRENT_BUFFER_LVALUE->yy_n_chars; + (yytext_ptr) = (yy_c_buf_p) = YY_CURRENT_BUFFER_LVALUE->yy_buf_pos; + knot_yyin = YY_CURRENT_BUFFER_LVALUE->yy_input_file; + (yy_hold_char) = *(yy_c_buf_p); +} + +/** Allocate and initialize an input buffer state. + * @param file A readable stream. + * @param size The character buffer size in bytes. When in doubt, use @c YY_BUF_SIZE. + * + * @return the allocated buffer state. + */ + YY_BUFFER_STATE knot_yy_create_buffer (FILE * file, int size ) +{ + YY_BUFFER_STATE b; + + b = (YY_BUFFER_STATE) knot_yyalloc(sizeof( struct yy_buffer_state ) ); + if ( ! b ) + YY_FATAL_ERROR( "out of dynamic memory in knot_yy_create_buffer()" ); + + b->yy_buf_size = size; + + /* yy_ch_buf has to be 2 characters longer than the size given because + * we need to put in 2 end-of-buffer characters. + */ + b->yy_ch_buf = (char *) knot_yyalloc(b->yy_buf_size + 2 ); + if ( ! b->yy_ch_buf ) + YY_FATAL_ERROR( "out of dynamic memory in knot_yy_create_buffer()" ); + + b->yy_is_our_buffer = 1; + + knot_yy_init_buffer(b,file ); + + return b; +} + +/** Destroy the buffer. + * @param b a buffer created with knot_yy_create_buffer() + * + */ + void knot_yy_delete_buffer (YY_BUFFER_STATE b ) +{ + + if ( ! b ) + return; + + if ( b == YY_CURRENT_BUFFER ) /* Not sure if we should pop here. */ + YY_CURRENT_BUFFER_LVALUE = (YY_BUFFER_STATE) 0; + + if ( b->yy_is_our_buffer ) + knot_yyfree((void *) b->yy_ch_buf ); + + knot_yyfree((void *) b ); +} + +#ifndef __cplusplus +extern int isatty (int ); +#endif /* __cplusplus */ + +/* Initializes or reinitializes a buffer. + * This function is sometimes called more than once on the same buffer, + * such as during a knot_yyrestart() or at EOF. + */ + static void knot_yy_init_buffer (YY_BUFFER_STATE b, FILE * file ) + +{ + int oerrno = errno; + + knot_yy_flush_buffer(b ); + + b->yy_input_file = file; + b->yy_fill_buffer = 1; + + /* If b is the current buffer, then knot_yy_init_buffer was _probably_ + * called from knot_yyrestart() or through yy_get_next_buffer. + * In that case, we don't want to reset the lineno or column. + */ + if (b != YY_CURRENT_BUFFER){ + b->yy_bs_lineno = 1; + b->yy_bs_column = 0; + } + + b->yy_is_interactive = file ? (isatty( fileno(file) ) > 0) : 0; + + errno = oerrno; +} + +/** Discard all buffered characters. On the next scan, YY_INPUT will be called. + * @param b the buffer state to be flushed, usually @c YY_CURRENT_BUFFER. + * + */ + void knot_yy_flush_buffer (YY_BUFFER_STATE b ) +{ + if ( ! b ) + return; + + b->yy_n_chars = 0; + + /* We always need two end-of-buffer characters. The first causes + * a transition to the end-of-buffer state. The second causes + * a jam in that state. + */ + b->yy_ch_buf[0] = YY_END_OF_BUFFER_CHAR; + b->yy_ch_buf[1] = YY_END_OF_BUFFER_CHAR; + + b->yy_buf_pos = &b->yy_ch_buf[0]; + + b->yy_at_bol = 1; + b->yy_buffer_status = YY_BUFFER_NEW; + + if ( b == YY_CURRENT_BUFFER ) + knot_yy_load_buffer_state( ); +} + +/** Pushes the new state onto the stack. The new state becomes + * the current state. This function will allocate the stack + * if necessary. + * @param new_buffer The new state. + * + */ +void knot_yypush_buffer_state (YY_BUFFER_STATE new_buffer ) +{ + if (new_buffer == NULL) + return; + + knot_yyensure_buffer_stack(); + + /* This block is copied from knot_yy_switch_to_buffer. */ + if ( YY_CURRENT_BUFFER ) + { + /* Flush out information for old buffer. */ + *(yy_c_buf_p) = (yy_hold_char); + YY_CURRENT_BUFFER_LVALUE->yy_buf_pos = (yy_c_buf_p); + YY_CURRENT_BUFFER_LVALUE->yy_n_chars = (yy_n_chars); + } + + /* Only push if top exists. Otherwise, replace top. */ + if (YY_CURRENT_BUFFER) + (yy_buffer_stack_top)++; + YY_CURRENT_BUFFER_LVALUE = new_buffer; + + /* copied from knot_yy_switch_to_buffer. */ + knot_yy_load_buffer_state( ); + (yy_did_buffer_switch_on_eof) = 1; +} + +/** Removes and deletes the top of the stack, if present. + * The next element becomes the new top. + * + */ +void knot_yypop_buffer_state (void) +{ + if (!YY_CURRENT_BUFFER) + return; + + knot_yy_delete_buffer(YY_CURRENT_BUFFER ); + YY_CURRENT_BUFFER_LVALUE = NULL; + if ((yy_buffer_stack_top) > 0) + --(yy_buffer_stack_top); + + if (YY_CURRENT_BUFFER) { + knot_yy_load_buffer_state( ); + (yy_did_buffer_switch_on_eof) = 1; + } +} + +/* Allocates the stack if it does not exist. + * Guarantees space for at least one push. + */ +static void knot_yyensure_buffer_stack (void) +{ + int num_to_alloc; + + if (!(yy_buffer_stack)) { + + /* First allocation is just for 2 elements, since we don't know if this + * scanner will even need a stack. We use 2 instead of 1 to avoid an + * immediate realloc on the next call. + */ + num_to_alloc = 1; + (yy_buffer_stack) = (struct yy_buffer_state**)knot_yyalloc + (num_to_alloc * sizeof(struct yy_buffer_state*) + ); + if ( ! (yy_buffer_stack) ) + YY_FATAL_ERROR( "out of dynamic memory in knot_yyensure_buffer_stack()" ); + + memset((yy_buffer_stack), 0, num_to_alloc * sizeof(struct yy_buffer_state*)); + + (yy_buffer_stack_max) = num_to_alloc; + (yy_buffer_stack_top) = 0; + return; + } + + if ((yy_buffer_stack_top) >= ((yy_buffer_stack_max)) - 1){ + + /* Increase the buffer to prepare for a possible push. */ + int grow_size = 8 /* arbitrary grow size */; + + num_to_alloc = (yy_buffer_stack_max) + grow_size; + (yy_buffer_stack) = (struct yy_buffer_state**)knot_yyrealloc + ((yy_buffer_stack), + num_to_alloc * sizeof(struct yy_buffer_state*) + ); + if ( ! (yy_buffer_stack) ) + YY_FATAL_ERROR( "out of dynamic memory in knot_yyensure_buffer_stack()" ); + + /* zero only the new slots.*/ + memset((yy_buffer_stack) + (yy_buffer_stack_max), 0, grow_size * sizeof(struct yy_buffer_state*)); + (yy_buffer_stack_max) = num_to_alloc; + } +} + +/** Setup the input buffer state to scan directly from a user-specified character buffer. + * @param base the character buffer + * @param size the size in bytes of the character buffer + * + * @return the newly allocated buffer state object. + */ +YY_BUFFER_STATE knot_yy_scan_buffer (char * base, yy_size_t size ) +{ + YY_BUFFER_STATE b; + + if ( size < 2 || + base[size-2] != YY_END_OF_BUFFER_CHAR || + base[size-1] != YY_END_OF_BUFFER_CHAR ) + /* They forgot to leave room for the EOB's. */ + return 0; + + b = (YY_BUFFER_STATE) knot_yyalloc(sizeof( struct yy_buffer_state ) ); + if ( ! b ) + YY_FATAL_ERROR( "out of dynamic memory in knot_yy_scan_buffer()" ); + + b->yy_buf_size = size - 2; /* "- 2" to take care of EOB's */ + b->yy_buf_pos = b->yy_ch_buf = base; + b->yy_is_our_buffer = 0; + b->yy_input_file = 0; + b->yy_n_chars = b->yy_buf_size; + b->yy_is_interactive = 0; + b->yy_at_bol = 1; + b->yy_fill_buffer = 0; + b->yy_buffer_status = YY_BUFFER_NEW; + + knot_yy_switch_to_buffer(b ); + + return b; +} + +/** Setup the input buffer state to scan a string. The next call to knot_yylex() will + * scan from a @e copy of @a str. + * @param yystr a NUL-terminated string to scan + * + * @return the newly allocated buffer state object. + * @note If you want to scan bytes that may contain NUL values, then use + * knot_yy_scan_bytes() instead. + */ +YY_BUFFER_STATE knot_yy_scan_string (yyconst char * yystr ) +{ + + return knot_yy_scan_bytes(yystr,strlen(yystr) ); +} + +/** Setup the input buffer state to scan the given bytes. The next call to knot_yylex() will + * scan from a @e copy of @a bytes. + * @param bytes the byte buffer to scan + * @param len the number of bytes in the buffer pointed to by @a bytes. + * + * @return the newly allocated buffer state object. + */ +YY_BUFFER_STATE knot_yy_scan_bytes (yyconst char * yybytes, int _yybytes_len ) +{ + YY_BUFFER_STATE b; + char *buf; + yy_size_t n; + int i; + + /* Get memory for full buffer, including space for trailing EOB's. */ + n = _yybytes_len + 2; + buf = (char *) knot_yyalloc(n ); + if ( ! buf ) + YY_FATAL_ERROR( "out of dynamic memory in knot_yy_scan_bytes()" ); + + for ( i = 0; i < _yybytes_len; ++i ) + buf[i] = yybytes[i]; + + buf[_yybytes_len] = buf[_yybytes_len+1] = YY_END_OF_BUFFER_CHAR; + + b = knot_yy_scan_buffer(buf,n ); + if ( ! b ) + YY_FATAL_ERROR( "bad buffer in knot_yy_scan_bytes()" ); + + /* It's okay to grow etc. this buffer, and we should throw it + * away when we're done. + */ + b->yy_is_our_buffer = 1; + + return b; +} + +#ifndef YY_EXIT_FAILURE +#define YY_EXIT_FAILURE 2 +#endif + +static void yy_fatal_error (yyconst char* msg ) +{ + (void) fprintf( stderr, "%s\n", msg ); + exit( YY_EXIT_FAILURE ); +} + +/* Redefine yyless() so it works in section 3 code. */ + +#undef yyless +#define yyless(n) \ + do \ + { \ + /* Undo effects of setting up knot_yytext. */ \ + int yyless_macro_arg = (n); \ + YY_LESS_LINENO(yyless_macro_arg);\ + knot_yytext[knot_yyleng] = (yy_hold_char); \ + (yy_c_buf_p) = knot_yytext + yyless_macro_arg; \ + (yy_hold_char) = *(yy_c_buf_p); \ + *(yy_c_buf_p) = '\0'; \ + knot_yyleng = yyless_macro_arg; \ + } \ + while ( 0 ) + +/* Accessor methods (get/set functions) to struct members. */ + +/** Get the current line number. + * + */ +int knot_yyget_lineno (void) +{ + + return knot_yylineno; +} + +/** Get the input stream. + * + */ +FILE *knot_yyget_in (void) +{ + return knot_yyin; +} + +/** Get the output stream. + * + */ +FILE *knot_yyget_out (void) +{ + return knot_yyout; +} + +/** Get the length of the current token. + * + */ +int knot_yyget_leng (void) +{ + return knot_yyleng; +} + +/** Get the current token. + * + */ + +char *knot_yyget_text (void) +{ + return knot_yytext; +} + +/** Set the current line number. + * @param line_number + * + */ +void knot_yyset_lineno (int line_number ) +{ + + knot_yylineno = line_number; +} + +/** Set the input stream. This does not discard the current + * input buffer. + * @param in_str A readable stream. + * + * @see knot_yy_switch_to_buffer + */ +void knot_yyset_in (FILE * in_str ) +{ + knot_yyin = in_str ; +} + +void knot_yyset_out (FILE * out_str ) +{ + knot_yyout = out_str ; +} + +int knot_yyget_debug (void) +{ + return knot_yy_flex_debug; +} + +void knot_yyset_debug (int bdebug ) +{ + knot_yy_flex_debug = bdebug ; +} + +static int yy_init_globals (void) +{ + /* Initialization is the same as for the non-reentrant scanner. + * This function is called from knot_yylex_destroy(), so don't allocate here. + */ + + (yy_buffer_stack) = 0; + (yy_buffer_stack_top) = 0; + (yy_buffer_stack_max) = 0; + (yy_c_buf_p) = (char *) 0; + (yy_init) = 0; + (yy_start) = 0; + +/* Defined in main.c */ +#ifdef YY_STDINIT + knot_yyin = stdin; + knot_yyout = stdout; +#else + knot_yyin = (FILE *) 0; + knot_yyout = (FILE *) 0; +#endif + + /* For future reference: Set errno on error, since we are called by + * knot_yylex_init() + */ + return 0; +} + +/* knot_yylex_destroy is for both reentrant and non-reentrant scanners. */ +int knot_yylex_destroy (void) +{ + + /* Pop the buffer stack, destroying each element. */ + while(YY_CURRENT_BUFFER){ + knot_yy_delete_buffer(YY_CURRENT_BUFFER ); + YY_CURRENT_BUFFER_LVALUE = NULL; + knot_yypop_buffer_state(); + } + + /* Destroy the stack itself. */ + knot_yyfree((yy_buffer_stack) ); + (yy_buffer_stack) = NULL; + + /* Reset the globals. This is important in a non-reentrant scanner so the next time + * knot_yylex() is called, initialization will occur. */ + yy_init_globals( ); + + return 0; +} + +/* + * Internal utility routines. + */ + +#ifndef yytext_ptr +static void yy_flex_strncpy (char* s1, yyconst char * s2, int n ) +{ + register int i; + for ( i = 0; i < n; ++i ) + s1[i] = s2[i]; +} +#endif + +#ifdef YY_NEED_STRLEN +static int yy_flex_strlen (yyconst char * s ) +{ + register int n; + for ( n = 0; s[n]; ++n ) + ; + + return n; +} +#endif + +void *knot_yyalloc (yy_size_t size ) +{ + return (void *) malloc( size ); +} + +void *knot_yyrealloc (void * ptr, yy_size_t size ) +{ + /* The cast to (char *) in the following accommodates both + * implementations that use char* generic pointers, and those + * that use void* generic pointers. It works with the latter + * because both ANSI C and C++ allow castless assignment from + * any pointer type to void*, and deal with argument conversions + * as though doing an assignment. + */ + return (void *) realloc( (char *) ptr, size ); +} + +void knot_yyfree (void * ptr ) +{ + free( (char *) ptr ); /* see knot_yyrealloc() for (char *) cast */ +} + +#define YYTABLES_NAME "yytables" + +#line 63 "knot_parser/knot_scanner.ll" + + + +void +knot_scan_string (const char *s) +{ + knot_yy_scan_string (s); +} + diff --git a/knot_parser/knot_scanner.ll b/knot_parser/knot_scanner.ll new file mode 100644 index 0000000..42653c7 --- /dev/null +++ b/knot_parser/knot_scanner.ll @@ -0,0 +1,69 @@ + +%{ +#include "knot_parser.hh" + +#define YY_DECL \ + yy::knot_parser::token_type knot_yylex (yy::knot_parser::semantic_type *yylval) + +#define yyterminate() return token::END + +typedef yy::knot_parser::token token; +typedef yy::knot_parser::token_type token_type; +%} + +%option noyywrap nounput batch prefix="knot_yy" + +%% + +-?[0-9]+ { + yylval->integer = atoi (yytext); + return token::INT; + } + +[a-zA-Z]+ { + if (!strcmp (yytext, "a")) + { + yylval->alternating = 1; + return token::ALT; + } + else if (!strcmp (yytext, "L")) + return token::LINK; + else if (!strcmp (yytext, "n")) + { + yylval->alternating = 0; + return token::NONALT; + } + else if (!strcmp (yytext, "T")) + return token::T; + else if (!strcmp (yytext, "U") + || !strcmp (yytext, "unknot")) + return token::UNKNOT; + else if (!strcmp (yytext, "X")) + return token::X; + else if (!strcmp (yytext, "BR")) + return token::BR; + else if (!strcmp (yytext, "PD")) + return token::PD; + else if (!strcmp (yytext, "DT") + || !strcmp (yytext, "DTCode")) + return token::DT; + else if (!strcmp (yytext, "BR")) + return token::BR; + else + { + yylval->string = strdup (yytext); + return token::STRING; + } +} + +[\t\r\n ] /* ignore */ + +. { return token_type (yytext[0]); } + +%% + +void +knot_scan_string (const char *s) +{ + knot_yy_scan_string (s); +} diff --git a/knot_parser/location.hh b/knot_parser/location.hh new file mode 100644 index 0000000..c123693 --- /dev/null +++ b/knot_parser/location.hh @@ -0,0 +1,165 @@ +/* A Bison parser, made by GNU Bison 2.4.3. */ + +/* Locations for Bison parsers in C++ + + Copyright (C) 2002, 2003, 2004, 2005, 2006, 2007, 2009, 2010 Free Software + Foundation, Inc. + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . */ + +/* As a special exception, you may create a larger work that contains + part or all of the Bison parser skeleton and distribute that work + under terms of your choice, so long as that work isn't itself a + parser generator using the skeleton or a modified version thereof + as a parser skeleton. Alternatively, if you modify or redistribute + the parser skeleton itself, you may (at your option) remove this + special exception, which will cause the skeleton and the resulting + Bison output files to be licensed under the GNU General Public + License without this special exception. + + This special exception was added by the Free Software Foundation in + version 2.2 of Bison. */ + +/** + ** \file location.hh + ** Define the yy::location class. + */ + +#ifndef BISON_LOCATION_HH +# define BISON_LOCATION_HH + +# include +# include +# include "position.hh" + + +namespace yy { + +/* Line 163 of location.cc */ +#line 51 "knot_parser/location.hh" + + /// Abstract a location. + class location + { + public: + + /// Construct a location. + location () + : begin (), end () + { + } + + + /// Initialization. + inline void initialize (std::string* fn) + { + begin.initialize (fn); + end = begin; + } + + /** \name Line and Column related manipulators + ** \{ */ + public: + /// Reset initial location to final location. + inline void step () + { + begin = end; + } + + /// Extend the current location to the COUNT next columns. + inline void columns (unsigned int count = 1) + { + end += count; + } + + /// Extend the current location to the COUNT next lines. + inline void lines (unsigned int count = 1) + { + end.lines (count); + } + /** \} */ + + + public: + /// Beginning of the located region. + position begin; + /// End of the located region. + position end; + }; + + /// Join two location objects to create a location. + inline const location operator+ (const location& begin, const location& end) + { + location res = begin; + res.end = end.end; + return res; + } + + /// Add two location objects. + inline const location operator+ (const location& begin, unsigned int width) + { + location res = begin; + res.columns (width); + return res; + } + + /// Add and assign a location. + inline location& operator+= (location& res, unsigned int width) + { + res.columns (width); + return res; + } + + /// Compare two location objects. + inline bool + operator== (const location& loc1, const location& loc2) + { + return loc1.begin == loc2.begin && loc1.end == loc2.end; + } + + /// Compare two location objects. + inline bool + operator!= (const location& loc1, const location& loc2) + { + return !(loc1 == loc2); + } + + /** \brief Intercept output stream redirection. + ** \param ostr the destination output stream + ** \param loc a reference to the location to redirect + ** + ** Avoid duplicate information. + */ + inline std::ostream& operator<< (std::ostream& ostr, const location& loc) + { + position last = loc.end - 1; + ostr << loc.begin; + if (last.filename + && (!loc.begin.filename + || *loc.begin.filename != *last.filename)) + ostr << '-' << last; + else if (loc.begin.line != last.line) + ostr << '-' << last.line << '.' << last.column; + else if (loc.begin.column != last.column) + ostr << '-' << last.column; + return ostr; + } + + +} // yy + +/* Line 272 of location.cc */ +#line 164 "knot_parser/location.hh" + +#endif // not BISON_LOCATION_HH diff --git a/knot_parser/position.hh b/knot_parser/position.hh new file mode 100644 index 0000000..c034a2e --- /dev/null +++ b/knot_parser/position.hh @@ -0,0 +1,162 @@ +/* A Bison parser, made by GNU Bison 2.4.3. */ + +/* Positions for Bison parsers in C++ + + Copyright (C) 2002, 2003, 2004, 2005, 2006, 2007, 2009, 2010 Free Software + Foundation, Inc. + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . */ + +/* As a special exception, you may create a larger work that contains + part or all of the Bison parser skeleton and distribute that work + under terms of your choice, so long as that work isn't itself a + parser generator using the skeleton or a modified version thereof + as a parser skeleton. Alternatively, if you modify or redistribute + the parser skeleton itself, you may (at your option) remove this + special exception, which will cause the skeleton and the resulting + Bison output files to be licensed under the GNU General Public + License without this special exception. + + This special exception was added by the Free Software Foundation in + version 2.2 of Bison. */ + +/** + ** \file position.hh + ** Define the yy::position class. + */ + +#ifndef BISON_POSITION_HH +# define BISON_POSITION_HH + +# include +# include +# include + + +namespace yy { + +/* Line 38 of location.cc */ +#line 51 "knot_parser/position.hh" + /// Abstract a position. + class position + { + public: + + /// Construct a position. + position () + : filename (0), line (1), column (1) + { + } + + + /// Initialization. + inline void initialize (std::string* fn) + { + filename = fn; + line = 1; + column = 1; + } + + /** \name Line and Column related manipulators + ** \{ */ + public: + /// (line related) Advance to the COUNT next lines. + inline void lines (int count = 1) + { + column = 1; + line += count; + } + + /// (column related) Advance to the COUNT next columns. + inline void columns (int count = 1) + { + column = std::max (1u, column + count); + } + /** \} */ + + public: + /// File name to which this position refers. + std::string* filename; + /// Current line number. + unsigned int line; + /// Current column number. + unsigned int column; + }; + + /// Add and assign a position. + inline const position& + operator+= (position& res, const int width) + { + res.columns (width); + return res; + } + + /// Add two position objects. + inline const position + operator+ (const position& begin, const int width) + { + position res = begin; + return res += width; + } + + /// Add and assign a position. + inline const position& + operator-= (position& res, const int width) + { + return res += -width; + } + + /// Add two position objects. + inline const position + operator- (const position& begin, const int width) + { + return begin + -width; + } + + /// Compare two position objects. + inline bool + operator== (const position& pos1, const position& pos2) + { + return (pos1.line == pos2.line + && pos1.column == pos2.column + && (pos1.filename == pos2.filename + || (pos1.filename && pos2.filename + && *pos1.filename == *pos2.filename))); + } + + /// Compare two position objects. + inline bool + operator!= (const position& pos1, const position& pos2) + { + return !(pos1 == pos2); + } + + /** \brief Intercept output stream redirection. + ** \param ostr the destination output stream + ** \param pos a reference to the position to redirect + */ + inline std::ostream& + operator<< (std::ostream& ostr, const position& pos) + { + if (pos.filename) + ostr << *pos.filename << ':'; + return ostr << pos.line << '.' << pos.column; + } + + +} // yy + +/* Line 145 of location.cc */ +#line 162 "knot_parser/position.hh" +#endif // not BISON_POSITION_HH diff --git a/knot_parser/stack.hh b/knot_parser/stack.hh new file mode 100644 index 0000000..3c16aa6 --- /dev/null +++ b/knot_parser/stack.hh @@ -0,0 +1,136 @@ +/* A Bison parser, made by GNU Bison 2.4.3. */ + +/* Stack handling for Bison parsers in C++ + + Copyright (C) 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010 Free + Software Foundation, Inc. + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . */ + +/* As a special exception, you may create a larger work that contains + part or all of the Bison parser skeleton and distribute that work + under terms of your choice, so long as that work isn't itself a + parser generator using the skeleton or a modified version thereof + as a parser skeleton. Alternatively, if you modify or redistribute + the parser skeleton itself, you may (at your option) remove this + special exception, which will cause the skeleton and the resulting + Bison output files to be licensed under the GNU General Public + License without this special exception. + + This special exception was added by the Free Software Foundation in + version 2.2 of Bison. */ + +#ifndef BISON_STACK_HH +# define BISON_STACK_HH + +#include + + +namespace yy { + +/* Line 1067 of lalr1.cc */ +#line 44 "knot_parser/stack.hh" + template > + class stack + { + public: + + // Hide our reversed order. + typedef typename S::reverse_iterator iterator; + typedef typename S::const_reverse_iterator const_iterator; + + stack () : seq_ () + { + } + + stack (unsigned int n) : seq_ (n) + { + } + + inline + T& + operator [] (unsigned int i) + { + return seq_[i]; + } + + inline + const T& + operator [] (unsigned int i) const + { + return seq_[i]; + } + + inline + void + push (const T& t) + { + seq_.push_front (t); + } + + inline + void + pop (unsigned int n = 1) + { + for (; n; --n) + seq_.pop_front (); + } + + inline + unsigned int + height () const + { + return seq_.size (); + } + + inline const_iterator begin () const { return seq_.rbegin (); } + inline const_iterator end () const { return seq_.rend (); } + + private: + + S seq_; + }; + + /// Present a slice of the top of a stack. + template > + class slice + { + public: + + slice (const S& stack, + unsigned int range) : stack_ (stack), + range_ (range) + { + } + + inline + const T& + operator [] (unsigned int i) const + { + return stack_[range_ - i]; + } + + private: + + const S& stack_; + unsigned int range_; + }; + +} // yy + +/* Line 1153 of lalr1.cc */ +#line 134 "knot_parser/stack.hh" + +#endif // not BISON_STACK_HH[]dnl + diff --git a/knot_tables.cpp b/knot_tables.cpp new file mode 100644 index 0000000..6849294 --- /dev/null +++ b/knot_tables.cpp @@ -0,0 +1,730 @@ + +#include + +#define HOME "/Users/cotton/src/knotkit/" + +bool verbose = 0; + +static const struct { + const char *name; + int crossing_ar[3][4]; +} rolfsen3[] = { + { "3_{1}", { { 1, 5, 2, 4 }, { 3, 1, 4, 6 }, { 5, 3, 6, 2 } } } +}; + +static const struct { + const char *name; + int crossing_ar[4][4]; +} rolfsen4[] = { + { "4_{1}", { { 4, 2, 5, 1 }, { 8, 6, 1, 5 }, { 6, 3, 7, 4 }, { 2, 7, 3, 8 } } } +}; + +static const struct { + const char *name; + int crossing_ar[5][4]; +} rolfsen5[] = { + { "5_{1}", { { 2, 8, 3, 7 }, { 4, 10, 5, 9 }, { 6, 2, 7, 1 }, { 8, 4, 9, 3 }, { 10, 6, 1, 5 } } }, + { "5_{2}", { { 1, 5, 2, 4 }, { 3, 9, 4, 8 }, { 5, 1, 6, 10 }, { 7, 3, 8, 2 }, { 9, 7, 10, 6 } } } +}; + +static const struct { + const char *name; + int crossing_ar[6][4]; +} rolfsen6[] = { + { "6_{1}", { { 1, 7, 2, 6 }, { 3, 10, 4, 11 }, { 5, 3, 6, 2 }, { 7, 1, 8, 12 }, { 9, 4, 10, 5 }, { 11, 9, 12, 8 } } }, + { "6_{2}", { { 1, 8, 2, 9 }, { 3, 11, 4, 10 }, { 5, 1, 6, 12 }, { 7, 2, 8, 3 }, { 9, 7, 10, 6 }, { 11, 5, 12, 4 } } }, + { "6_{3}", { { 4, 2, 5, 1 }, { 8, 4, 9, 3 }, { 12, 9, 1, 10 }, { 10, 5, 11, 6 }, { 6, 11, 7, 12 }, { 2, 8, 3, 7 } } } +}; + +static const struct { + const char *name; + int crossing_ar[7][4]; +} rolfsen7[] = { + { "7_{1}", { { 1, 9, 2, 8 }, { 3, 11, 4, 10 }, { 5, 13, 6, 12 }, { 7, 1, 8, 14 }, { 9, 3, 10, 2 }, { 11, 5, 12, 4 }, { 13, 7, 14, 6 } } }, + { "7_{2}", { { 2, 10, 3, 9 }, { 4, 14, 5, 13 }, { 6, 12, 7, 11 }, { 8, 2, 9, 1 }, { 10, 8, 11, 7 }, { 12, 6, 13, 5 }, { 14, 4, 1, 3 } } }, + { "7_{3}", { { 1, 9, 2, 8 }, { 3, 11, 4, 10 }, { 5, 1, 6, 14 }, { 7, 13, 8, 12 }, { 9, 3, 10, 2 }, { 11, 5, 12, 4 }, { 13, 7, 14, 6 } } }, + { "7_{4}", { { 2, 10, 3, 9 }, { 4, 12, 5, 11 }, { 6, 14, 7, 13 }, { 8, 4, 9, 3 }, { 10, 2, 11, 1 }, { 12, 8, 13, 7 }, { 14, 6, 1, 5 } } }, + { "7_{5}", { { 2, 10, 3, 9 }, { 4, 2, 5, 1 }, { 6, 14, 7, 13 }, { 8, 12, 9, 11 }, { 10, 4, 11, 3 }, { 12, 6, 13, 5 }, { 14, 8, 1, 7 } } }, + { "7_{6}", { { 1, 13, 2, 12 }, { 3, 9, 4, 8 }, { 5, 1, 6, 14 }, { 7, 10, 8, 11 }, { 9, 3, 10, 2 }, { 11, 6, 12, 7 }, { 13, 5, 14, 4 } } }, + { "7_{7}", { { 1, 10, 2, 11 }, { 3, 13, 4, 12 }, { 5, 14, 6, 1 }, { 7, 5, 8, 4 }, { 9, 2, 10, 3 }, { 11, 9, 12, 8 }, { 13, 6, 14, 7 } } } +}; + +static const struct { + const char *name; + int crossing_ar[8][4]; +} rolfsen8[] = { + { "8_{1}", { { 1, 9, 2, 8 }, { 3, 7, 4, 6 }, { 5, 12, 6, 13 }, { 7, 3, 8, 2 }, { 9, 1, 10, 16 }, { 11, 15, 12, 14 }, { 13, 4, 14, 5 }, { 15, 11, 16, 10 } } }, + { "8_{2}", { { 1, 10, 2, 11 }, { 3, 13, 4, 12 }, { 5, 15, 6, 14 }, { 7, 1, 8, 16 }, { 9, 2, 10, 3 }, { 11, 9, 12, 8 }, { 13, 5, 14, 4 }, { 15, 7, 16, 6 } } }, + { "8_{3}", { { 6, 2, 7, 1 }, { 14, 10, 15, 9 }, { 10, 5, 11, 6 }, { 12, 3, 13, 4 }, { 4, 11, 5, 12 }, { 2, 13, 3, 14 }, { 16, 8, 1, 7 }, { 8, 16, 9, 15 } } }, + { "8_{4}", { { 2, 11, 3, 12 }, { 4, 9, 5, 10 }, { 6, 16, 7, 15 }, { 8, 14, 9, 13 }, { 10, 1, 11, 2 }, { 12, 3, 13, 4 }, { 14, 8, 15, 7 }, { 16, 6, 1, 5 } } }, + { "8_{5}", { { 1, 7, 2, 6 }, { 3, 9, 4, 8 }, { 5, 12, 6, 13 }, { 7, 3, 8, 2 }, { 9, 15, 10, 14 }, { 11, 1, 12, 16 }, { 13, 4, 14, 5 }, { 15, 11, 16, 10 } } }, + { "8_{6}", { { 2, 9, 3, 10 }, { 4, 14, 5, 13 }, { 6, 16, 7, 15 }, { 8, 12, 9, 11 }, { 10, 1, 11, 2 }, { 12, 8, 13, 7 }, { 14, 6, 15, 5 }, { 16, 4, 1, 3 } } }, + { "8_{7}", { { 2, 9, 3, 10 }, { 4, 14, 5, 13 }, { 6, 15, 7, 16 }, { 8, 1, 9, 2 }, { 10, 5, 11, 6 }, { 12, 4, 13, 3 }, { 14, 12, 15, 11 }, { 16, 7, 1, 8 } } }, + { "8_{8}", { { 1, 7, 2, 6 }, { 3, 12, 4, 13 }, { 5, 9, 6, 8 }, { 7, 3, 8, 2 }, { 9, 16, 10, 1 }, { 11, 14, 12, 15 }, { 13, 4, 14, 5 }, { 15, 10, 16, 11 } } }, + { "8_{9}", { { 6, 2, 7, 1 }, { 14, 8, 15, 7 }, { 10, 3, 11, 4 }, { 2, 13, 3, 14 }, { 12, 5, 13, 6 }, { 4, 11, 5, 12 }, { 16, 10, 1, 9 }, { 8, 16, 9, 15 } } }, + { "8_{10}", { { 2, 14, 3, 13 }, { 4, 9, 5, 10 }, { 6, 11, 7, 12 }, { 8, 15, 9, 16 }, { 10, 5, 11, 6 }, { 12, 2, 13, 1 }, { 14, 7, 15, 8 }, { 16, 4, 1, 3 } } }, + { "8_{11}", { { 1, 10, 2, 11 }, { 3, 13, 4, 12 }, { 5, 15, 6, 14 }, { 7, 1, 8, 16 }, { 9, 2, 10, 3 }, { 11, 9, 12, 8 }, { 13, 7, 14, 6 }, { 15, 5, 16, 4 } } }, + { "8_{12}", { { 4, 2, 5, 1 }, { 10, 8, 11, 7 }, { 8, 3, 9, 4 }, { 2, 9, 3, 10 }, { 14, 6, 15, 5 }, { 16, 11, 1, 12 }, { 12, 15, 13, 16 }, { 6, 14, 7, 13 } } }, + { "8_{13}", { { 1, 9, 2, 8 }, { 3, 14, 4, 15 }, { 5, 12, 6, 13 }, { 7, 11, 8, 10 }, { 9, 3, 10, 2 }, { 11, 16, 12, 1 }, { 13, 4, 14, 5 }, { 15, 6, 16, 7 } } }, + { "8_{14}", { { 2, 12, 3, 11 }, { 4, 8, 5, 7 }, { 6, 15, 7, 16 }, { 8, 14, 9, 13 }, { 10, 2, 11, 1 }, { 12, 10, 13, 9 }, { 14, 4, 15, 3 }, { 16, 5, 1, 6 } } }, + { "8_{15}", { { 1, 7, 2, 6 }, { 3, 15, 4, 14 }, { 5, 9, 6, 8 }, { 7, 3, 8, 2 }, { 9, 13, 10, 12 }, { 11, 1, 12, 16 }, { 13, 5, 14, 4 }, { 15, 11, 16, 10 } } }, + { "8_{16}", { { 2, 7, 3, 8 }, { 4, 10, 5, 9 }, { 6, 1, 7, 2 }, { 8, 14, 9, 13 }, { 10, 15, 11, 16 }, { 12, 6, 13, 5 }, { 14, 3, 15, 4 }, { 16, 11, 1, 12 } } }, + { "8_{17}", { { 6, 2, 7, 1 }, { 14, 8, 15, 7 }, { 8, 3, 9, 4 }, { 2, 13, 3, 14 }, { 12, 5, 13, 6 }, { 4, 9, 5, 10 }, { 16, 12, 1, 11 }, { 10, 16, 11, 15 } } }, + { "8_{18}", { { 6, 2, 7, 1 }, { 8, 3, 9, 4 }, { 16, 11, 1, 12 }, { 2, 14, 3, 13 }, { 4, 15, 5, 16 }, { 10, 6, 11, 5 }, { 12, 7, 13, 8 }, { 14, 10, 15, 9 } } }, + { "8_{19}", { { 2, 14, 3, 13 }, { 5, 11, 6, 10 }, { 7, 15, 8, 14 }, { 9, 5, 10, 4 }, { 11, 7, 12, 6 }, { 12, 2, 13, 1 }, { 15, 9, 16, 8 }, { 16, 4, 1, 3 } } }, + { "8_{20}", { { 1, 7, 2, 6 }, { 4, 13, 5, 14 }, { 5, 9, 6, 8 }, { 7, 3, 8, 2 }, { 10, 15, 11, 16 }, { 12, 9, 13, 10 }, { 14, 3, 15, 4 }, { 16, 11, 1, 12 } } }, + { "8_{21}", { { 1, 7, 2, 6 }, { 4, 13, 5, 14 }, { 5, 9, 6, 8 }, { 7, 3, 8, 2 }, { 9, 13, 10, 12 }, { 11, 1, 12, 16 }, { 14, 3, 15, 4 }, { 15, 11, 16, 10 } } } +}; + +static const struct { + const char *name; + int crossing_ar[9][4]; +} rolfsen9[] = { + { "9_{1}", { { 1, 11, 2, 10 }, { 3, 13, 4, 12 }, { 5, 15, 6, 14 }, { 7, 17, 8, 16 }, { 9, 1, 10, 18 }, { 11, 3, 12, 2 }, { 13, 5, 14, 4 }, { 15, 7, 16, 6 }, { 17, 9, 18, 8 } } }, + { "9_{2}", { { 2, 8, 3, 7 }, { 4, 14, 5, 13 }, { 6, 4, 7, 3 }, { 8, 2, 9, 1 }, { 10, 18, 11, 17 }, { 12, 16, 13, 15 }, { 14, 6, 15, 5 }, { 16, 12, 17, 11 }, { 18, 10, 1, 9 } } }, + { "9_{3}", { { 1, 11, 2, 10 }, { 3, 15, 4, 14 }, { 5, 13, 6, 12 }, { 7, 17, 8, 16 }, { 9, 1, 10, 18 }, { 11, 3, 12, 2 }, { 13, 5, 14, 4 }, { 15, 7, 16, 6 }, { 17, 9, 18, 8 } } }, + { "9_{4}", { { 2, 14, 3, 13 }, { 4, 12, 5, 11 }, { 6, 16, 7, 15 }, { 8, 18, 9, 17 }, { 10, 6, 11, 5 }, { 12, 4, 13, 3 }, { 14, 2, 15, 1 }, { 16, 8, 17, 7 }, { 18, 10, 1, 9 } } }, + { "9_{5}", { { 2, 14, 3, 13 }, { 4, 12, 5, 11 }, { 6, 16, 7, 15 }, { 8, 18, 9, 17 }, { 10, 6, 11, 5 }, { 12, 4, 13, 3 }, { 14, 2, 15, 1 }, { 16, 10, 17, 9 }, { 18, 8, 1, 7 } } }, + { "9_{6}", { { 1, 13, 2, 12 }, { 3, 7, 4, 6 }, { 5, 15, 6, 14 }, { 7, 3, 8, 2 }, { 9, 17, 10, 16 }, { 11, 1, 12, 18 }, { 13, 5, 14, 4 }, { 15, 9, 16, 8 }, { 17, 11, 18, 10 } } }, + { "9_{7}", { { 2, 10, 3, 9 }, { 4, 12, 5, 11 }, { 6, 16, 7, 15 }, { 8, 6, 9, 5 }, { 10, 4, 11, 3 }, { 12, 2, 13, 1 }, { 14, 18, 15, 17 }, { 16, 8, 17, 7 }, { 18, 14, 1, 13 } } }, + { "9_{8}", { { 1, 16, 2, 17 }, { 3, 14, 4, 15 }, { 5, 11, 6, 10 }, { 7, 1, 8, 18 }, { 9, 13, 10, 12 }, { 11, 7, 12, 6 }, { 13, 4, 14, 5 }, { 15, 2, 16, 3 }, { 17, 9, 18, 8 } } }, + { "9_{9}", { { 1, 13, 2, 12 }, { 3, 9, 4, 8 }, { 5, 15, 6, 14 }, { 7, 17, 8, 16 }, { 9, 3, 10, 2 }, { 11, 1, 12, 18 }, { 13, 5, 14, 4 }, { 15, 7, 16, 6 }, { 17, 11, 18, 10 } } }, + { "9_{10}", { { 1, 13, 2, 12 }, { 3, 11, 4, 10 }, { 5, 17, 6, 16 }, { 7, 15, 8, 14 }, { 9, 1, 10, 18 }, { 11, 3, 12, 2 }, { 13, 5, 14, 4 }, { 15, 7, 16, 6 }, { 17, 9, 18, 8 } } }, + { "9_{11}", { { 2, 7, 3, 8 }, { 4, 13, 5, 14 }, { 6, 15, 7, 16 }, { 8, 12, 9, 11 }, { 10, 17, 11, 18 }, { 12, 3, 13, 4 }, { 14, 5, 15, 6 }, { 16, 2, 17, 1 }, { 18, 9, 1, 10 } } }, + { "9_{12}", { { 2, 9, 3, 10 }, { 4, 16, 5, 15 }, { 6, 14, 7, 13 }, { 8, 3, 9, 4 }, { 10, 18, 11, 17 }, { 12, 8, 13, 7 }, { 14, 6, 15, 5 }, { 16, 2, 17, 1 }, { 18, 12, 1, 11 } } }, + { "9_{13}", { { 2, 12, 3, 11 }, { 4, 14, 5, 13 }, { 6, 16, 7, 15 }, { 8, 18, 9, 17 }, { 10, 6, 11, 5 }, { 12, 4, 13, 3 }, { 14, 2, 15, 1 }, { 16, 10, 17, 9 }, { 18, 8, 1, 7 } } }, + { "9_{14}", { { 1, 12, 2, 13 }, { 3, 10, 4, 11 }, { 5, 16, 6, 17 }, { 7, 1, 8, 18 }, { 9, 4, 10, 5 }, { 11, 2, 12, 3 }, { 13, 9, 14, 8 }, { 15, 6, 16, 7 }, { 17, 15, 18, 14 } } }, + { "9_{15}", { { 2, 9, 3, 10 }, { 4, 7, 5, 8 }, { 6, 15, 7, 16 }, { 8, 3, 9, 4 }, { 10, 14, 11, 13 }, { 12, 17, 13, 18 }, { 14, 5, 15, 6 }, { 16, 2, 17, 1 }, { 18, 11, 1, 12 } } }, + { "9_{16}", { { 1, 9, 2, 8 }, { 3, 11, 4, 10 }, { 5, 15, 6, 14 }, { 7, 5, 8, 4 }, { 9, 3, 10, 2 }, { 11, 17, 12, 16 }, { 13, 1, 14, 18 }, { 15, 7, 16, 6 }, { 17, 13, 18, 12 } } }, + { "9_{17}", { { 1, 9, 2, 8 }, { 3, 12, 4, 13 }, { 5, 16, 6, 17 }, { 7, 1, 8, 18 }, { 9, 3, 10, 2 }, { 11, 4, 12, 5 }, { 13, 11, 14, 10 }, { 15, 6, 16, 7 }, { 17, 15, 18, 14 } } }, + { "9_{18}", { { 2, 12, 3, 11 }, { 4, 2, 5, 1 }, { 6, 16, 7, 15 }, { 8, 14, 9, 13 }, { 10, 18, 11, 17 }, { 12, 4, 13, 3 }, { 14, 8, 15, 7 }, { 16, 10, 17, 9 }, { 18, 6, 1, 5 } } }, + { "9_{19}", { { 2, 14, 3, 13 }, { 4, 11, 5, 12 }, { 6, 4, 7, 3 }, { 8, 17, 9, 18 }, { 10, 5, 11, 6 }, { 12, 8, 13, 7 }, { 14, 2, 15, 1 }, { 16, 9, 17, 10 }, { 18, 16, 1, 15 } } }, + { "9_{20}", { { 1, 11, 2, 10 }, { 3, 16, 4, 17 }, { 5, 13, 6, 12 }, { 7, 3, 8, 2 }, { 9, 1, 10, 18 }, { 11, 15, 12, 14 }, { 13, 7, 14, 6 }, { 15, 4, 16, 5 }, { 17, 9, 18, 8 } } }, + { "9_{21}", { { 2, 7, 3, 8 }, { 4, 13, 5, 14 }, { 6, 15, 7, 16 }, { 8, 12, 9, 11 }, { 10, 17, 11, 18 }, { 12, 5, 13, 6 }, { 14, 3, 15, 4 }, { 16, 2, 17, 1 }, { 18, 9, 1, 10 } } }, + { "9_{22}", { { 1, 7, 2, 6 }, { 3, 8, 4, 9 }, { 5, 14, 6, 15 }, { 7, 11, 8, 10 }, { 9, 2, 10, 3 }, { 11, 17, 12, 16 }, { 13, 1, 14, 18 }, { 15, 4, 16, 5 }, { 17, 13, 18, 12 } } }, + { "9_{23}", { { 2, 16, 3, 15 }, { 4, 12, 5, 11 }, { 6, 4, 7, 3 }, { 8, 18, 9, 17 }, { 10, 14, 11, 13 }, { 12, 6, 13, 5 }, { 14, 8, 15, 7 }, { 16, 2, 17, 1 }, { 18, 10, 1, 9 } } }, + { "9_{24}", { { 1, 13, 2, 12 }, { 3, 7, 4, 6 }, { 5, 1, 6, 18 }, { 7, 14, 8, 15 }, { 9, 16, 10, 17 }, { 11, 3, 12, 2 }, { 13, 10, 14, 11 }, { 15, 8, 16, 9 }, { 17, 5, 18, 4 } } }, + { "9_{25}", { { 2, 10, 3, 9 }, { 4, 17, 5, 18 }, { 6, 12, 7, 11 }, { 8, 4, 9, 3 }, { 10, 14, 11, 13 }, { 12, 8, 13, 7 }, { 14, 2, 15, 1 }, { 16, 5, 17, 6 }, { 18, 16, 1, 15 } } }, + { "9_{26}", { { 2, 10, 3, 9 }, { 4, 11, 5, 12 }, { 6, 17, 7, 18 }, { 8, 15, 9, 16 }, { 10, 14, 11, 13 }, { 12, 3, 13, 4 }, { 14, 2, 15, 1 }, { 16, 5, 17, 6 }, { 18, 7, 1, 8 } } }, + { "9_{27}", { { 2, 9, 3, 10 }, { 4, 7, 5, 8 }, { 6, 14, 7, 13 }, { 8, 15, 9, 16 }, { 10, 18, 11, 17 }, { 12, 3, 13, 4 }, { 14, 6, 15, 5 }, { 16, 2, 17, 1 }, { 18, 12, 1, 11 } } }, + { "9_{28}", { { 1, 16, 2, 17 }, { 3, 15, 4, 14 }, { 5, 3, 6, 2 }, { 7, 13, 8, 12 }, { 9, 7, 10, 6 }, { 11, 18, 12, 1 }, { 13, 9, 14, 8 }, { 15, 5, 16, 4 }, { 17, 10, 18, 11 } } }, + { "9_{29}", { { 2, 10, 3, 9 }, { 4, 17, 5, 18 }, { 6, 12, 7, 11 }, { 8, 4, 9, 3 }, { 10, 15, 11, 16 }, { 12, 6, 13, 5 }, { 14, 1, 15, 2 }, { 16, 7, 17, 8 }, { 18, 13, 1, 14 } } }, + { "9_{30}", { { 1, 9, 2, 8 }, { 3, 16, 4, 17 }, { 5, 1, 6, 18 }, { 7, 12, 8, 13 }, { 9, 3, 10, 2 }, { 11, 6, 12, 7 }, { 13, 10, 14, 11 }, { 15, 4, 16, 5 }, { 17, 15, 18, 14 } } }, + { "9_{31}", { { 1, 9, 2, 8 }, { 3, 10, 4, 11 }, { 5, 13, 6, 12 }, { 7, 1, 8, 18 }, { 9, 16, 10, 17 }, { 11, 15, 12, 14 }, { 13, 7, 14, 6 }, { 15, 4, 16, 5 }, { 17, 3, 18, 2 } } }, + { "9_{32}", { { 2, 8, 3, 7 }, { 4, 9, 5, 10 }, { 6, 13, 7, 14 }, { 8, 16, 9, 15 }, { 10, 5, 11, 6 }, { 12, 17, 13, 18 }, { 14, 3, 15, 4 }, { 16, 2, 17, 1 }, { 18, 11, 1, 12 } } }, + { "9_{33}", { { 1, 15, 2, 14 }, { 3, 16, 4, 17 }, { 5, 12, 6, 13 }, { 7, 5, 8, 4 }, { 9, 2, 10, 3 }, { 11, 6, 12, 7 }, { 13, 1, 14, 18 }, { 15, 11, 16, 10 }, { 17, 8, 18, 9 } } }, + { "9_{34}", { { 2, 13, 3, 14 }, { 4, 17, 5, 18 }, { 6, 16, 7, 15 }, { 8, 4, 9, 3 }, { 10, 5, 11, 6 }, { 12, 8, 13, 7 }, { 14, 1, 15, 2 }, { 16, 11, 17, 12 }, { 18, 10, 1, 9 } } }, + { "9_{35}", { { 2, 12, 3, 11 }, { 4, 16, 5, 15 }, { 6, 14, 7, 13 }, { 8, 18, 9, 17 }, { 10, 4, 11, 3 }, { 12, 2, 13, 1 }, { 14, 6, 15, 5 }, { 16, 10, 17, 9 }, { 18, 8, 1, 7 } } }, + { "9_{36}", { { 2, 15, 3, 16 }, { 4, 11, 5, 12 }, { 6, 4, 7, 3 }, { 8, 17, 9, 18 }, { 10, 5, 11, 6 }, { 12, 10, 13, 9 }, { 14, 1, 15, 2 }, { 16, 7, 17, 8 }, { 18, 13, 1, 14 } } }, + { "9_{37}", { { 1, 10, 2, 11 }, { 3, 14, 4, 15 }, { 5, 1, 6, 18 }, { 7, 17, 8, 16 }, { 9, 2, 10, 3 }, { 11, 9, 12, 8 }, { 13, 4, 14, 5 }, { 15, 13, 16, 12 }, { 17, 7, 18, 6 } } }, + { "9_{38}", { { 2, 14, 3, 13 }, { 4, 10, 5, 9 }, { 6, 16, 7, 15 }, { 8, 4, 9, 3 }, { 10, 18, 11, 17 }, { 12, 6, 13, 5 }, { 14, 2, 15, 1 }, { 16, 12, 17, 11 }, { 18, 8, 1, 7 } } }, + { "9_{39}", { { 1, 12, 2, 13 }, { 3, 17, 4, 16 }, { 5, 10, 6, 11 }, { 7, 18, 8, 1 }, { 9, 14, 10, 15 }, { 11, 2, 12, 3 }, { 13, 6, 14, 7 }, { 15, 5, 16, 4 }, { 17, 8, 18, 9 } } }, + { "9_{40}", { { 1, 15, 2, 14 }, { 3, 12, 4, 13 }, { 5, 11, 6, 10 }, { 7, 3, 8, 2 }, { 9, 18, 10, 1 }, { 11, 17, 12, 16 }, { 13, 9, 14, 8 }, { 15, 6, 16, 7 }, { 17, 5, 18, 4 } } }, + { "9_{41}", { { 1, 15, 2, 14 }, { 3, 12, 4, 13 }, { 5, 16, 6, 17 }, { 7, 3, 8, 2 }, { 9, 18, 10, 1 }, { 11, 4, 12, 5 }, { 13, 9, 14, 8 }, { 15, 6, 16, 7 }, { 17, 10, 18, 11 } } }, + { "9_{42}", { { 1, 4, 2, 5 }, { 5, 10, 6, 11 }, { 3, 9, 4, 8 }, { 9, 3, 10, 2 }, { 16, 12, 17, 11 }, { 14, 7, 15, 8 }, { 6, 15, 7, 16 }, { 18, 14, 1, 13 }, { 12, 18, 13, 17 } } }, + { "9_{43}", { { 1, 9, 2, 8 }, { 3, 16, 4, 17 }, { 5, 1, 6, 18 }, { 6, 12, 7, 11 }, { 9, 3, 10, 2 }, { 10, 14, 11, 13 }, { 12, 8, 13, 7 }, { 15, 4, 16, 5 }, { 17, 15, 18, 14 } } }, + { "9_{44}", { { 2, 9, 3, 10 }, { 3, 16, 4, 17 }, { 5, 1, 6, 18 }, { 6, 12, 7, 11 }, { 8, 1, 9, 2 }, { 10, 14, 11, 13 }, { 12, 8, 13, 7 }, { 15, 4, 16, 5 }, { 17, 15, 18, 14 } } }, + { "9_{45}", { { 2, 9, 3, 10 }, { 3, 16, 4, 17 }, { 5, 1, 6, 18 }, { 7, 12, 8, 13 }, { 8, 1, 9, 2 }, { 11, 6, 12, 7 }, { 13, 10, 14, 11 }, { 15, 4, 16, 5 }, { 17, 15, 18, 14 } } }, + { "9_{46}", { { 2, 10, 3, 9 }, { 3, 14, 4, 15 }, { 6, 17, 7, 18 }, { 8, 11, 9, 12 }, { 10, 2, 11, 1 }, { 13, 4, 14, 5 }, { 15, 13, 16, 12 }, { 16, 7, 17, 8 }, { 18, 5, 1, 6 } } }, + { "9_{47}", { { 1, 15, 2, 14 }, { 4, 17, 5, 18 }, { 6, 16, 7, 15 }, { 8, 4, 9, 3 }, { 10, 5, 11, 6 }, { 12, 8, 13, 7 }, { 13, 3, 14, 2 }, { 16, 11, 17, 12 }, { 18, 10, 1, 9 } } }, + { "9_{48}", { { 1, 10, 2, 11 }, { 3, 14, 4, 15 }, { 6, 17, 7, 18 }, { 9, 2, 10, 3 }, { 11, 9, 12, 8 }, { 13, 4, 14, 5 }, { 15, 13, 16, 12 }, { 16, 7, 17, 8 }, { 18, 5, 1, 6 } } }, + { "9_{49}", { { 1, 15, 2, 14 }, { 4, 12, 5, 11 }, { 6, 16, 7, 15 }, { 7, 3, 8, 2 }, { 10, 18, 11, 17 }, { 12, 4, 13, 3 }, { 13, 9, 14, 8 }, { 16, 6, 17, 5 }, { 18, 10, 1, 9 } } } +}; + +static const struct { + const char *name; + int crossing_ar[10][4]; +} rolfsen10[] = { + { "10_{1}", { { 2, 11, 3, 12 }, { 4, 20, 5, 19 }, { 6, 18, 7, 17 }, { 8, 16, 9, 15 }, { 10, 14, 11, 13 }, { 12, 1, 13, 2 }, { 14, 10, 15, 9 }, { 16, 8, 17, 7 }, { 18, 6, 19, 5 }, { 20, 4, 1, 3 } } }, + { "10_{2}", { { 1, 13, 2, 12 }, { 3, 14, 4, 15 }, { 5, 3, 6, 2 }, { 7, 17, 8, 16 }, { 9, 19, 10, 18 }, { 11, 1, 12, 20 }, { 13, 4, 14, 5 }, { 15, 7, 16, 6 }, { 17, 9, 18, 8 }, { 19, 11, 20, 10 } } }, + { "10_{3}", { { 2, 10, 3, 9 }, { 4, 17, 5, 18 }, { 6, 15, 7, 16 }, { 8, 4, 9, 3 }, { 10, 2, 11, 1 }, { 12, 20, 13, 19 }, { 14, 7, 15, 8 }, { 16, 5, 17, 6 }, { 18, 14, 19, 13 }, { 20, 12, 1, 11 } } }, + { "10_{4}", { { 2, 13, 3, 14 }, { 4, 11, 5, 12 }, { 6, 20, 7, 19 }, { 8, 18, 9, 17 }, { 10, 16, 11, 15 }, { 12, 1, 13, 2 }, { 14, 3, 15, 4 }, { 16, 10, 17, 9 }, { 18, 8, 19, 7 }, { 20, 6, 1, 5 } } }, + { "10_{5}", { { 2, 13, 3, 14 }, { 4, 17, 5, 18 }, { 6, 16, 7, 15 }, { 8, 6, 9, 5 }, { 10, 19, 11, 20 }, { 12, 1, 13, 2 }, { 14, 3, 15, 4 }, { 16, 8, 17, 7 }, { 18, 9, 19, 10 }, { 20, 11, 1, 12 } } }, + { "10_{6}", { { 2, 11, 3, 12 }, { 4, 16, 5, 15 }, { 6, 18, 7, 17 }, { 8, 20, 9, 19 }, { 10, 14, 11, 13 }, { 12, 1, 13, 2 }, { 14, 10, 15, 9 }, { 16, 6, 17, 5 }, { 18, 8, 19, 7 }, { 20, 4, 1, 3 } } }, + { "10_{7}", { { 1, 12, 2, 13 }, { 3, 15, 4, 14 }, { 5, 19, 6, 18 }, { 7, 17, 8, 16 }, { 9, 1, 10, 20 }, { 11, 2, 12, 3 }, { 13, 11, 14, 10 }, { 15, 9, 16, 8 }, { 17, 7, 18, 6 }, { 19, 5, 20, 4 } } }, + { "10_{8}", { { 1, 12, 2, 13 }, { 3, 10, 4, 11 }, { 5, 15, 6, 14 }, { 7, 17, 8, 16 }, { 9, 19, 10, 18 }, { 11, 2, 12, 3 }, { 13, 20, 14, 1 }, { 15, 7, 16, 6 }, { 17, 9, 18, 8 }, { 19, 5, 20, 4 } } }, + { "10_{9}", { { 1, 13, 2, 12 }, { 3, 16, 4, 17 }, { 5, 14, 6, 15 }, { 7, 3, 8, 2 }, { 9, 19, 10, 18 }, { 11, 1, 12, 20 }, { 13, 4, 14, 5 }, { 15, 6, 16, 7 }, { 17, 9, 18, 8 }, { 19, 11, 20, 10 } } }, + { "10_{10}", { { 1, 11, 2, 10 }, { 3, 18, 4, 19 }, { 5, 16, 6, 17 }, { 7, 14, 8, 15 }, { 9, 13, 10, 12 }, { 11, 3, 12, 2 }, { 13, 20, 14, 1 }, { 15, 6, 16, 7 }, { 17, 4, 18, 5 }, { 19, 8, 20, 9 } } }, + { "10_{11}", { { 2, 15, 3, 16 }, { 4, 13, 5, 14 }, { 6, 2, 7, 1 }, { 8, 18, 9, 17 }, { 10, 20, 11, 19 }, { 12, 5, 13, 6 }, { 14, 3, 15, 4 }, { 16, 12, 17, 11 }, { 18, 10, 19, 9 }, { 20, 8, 1, 7 } } }, + { "10_{12}", { { 2, 11, 3, 12 }, { 4, 18, 5, 17 }, { 6, 13, 7, 14 }, { 8, 19, 9, 20 }, { 10, 1, 11, 2 }, { 12, 7, 13, 8 }, { 14, 5, 15, 6 }, { 16, 4, 17, 3 }, { 18, 16, 19, 15 }, { 20, 9, 1, 10 } } }, + { "10_{13}", { { 2, 17, 3, 18 }, { 4, 8, 5, 7 }, { 6, 13, 7, 14 }, { 8, 2, 9, 1 }, { 10, 20, 11, 19 }, { 12, 16, 13, 15 }, { 14, 5, 15, 6 }, { 16, 3, 17, 4 }, { 18, 12, 19, 11 }, { 20, 10, 1, 9 } } }, + { "10_{14}", { { 1, 14, 2, 15 }, { 3, 17, 4, 16 }, { 5, 11, 6, 10 }, { 7, 19, 8, 18 }, { 9, 1, 10, 20 }, { 11, 5, 12, 4 }, { 13, 2, 14, 3 }, { 15, 13, 16, 12 }, { 17, 7, 18, 6 }, { 19, 9, 20, 8 } } }, + { "10_{15}", { { 2, 6, 3, 5 }, { 4, 16, 5, 15 }, { 6, 2, 7, 1 }, { 8, 17, 9, 18 }, { 10, 19, 11, 20 }, { 12, 7, 13, 8 }, { 14, 4, 15, 3 }, { 16, 14, 17, 13 }, { 18, 9, 19, 10 }, { 20, 11, 1, 12 } } }, + { "10_{16}", { { 1, 10, 2, 11 }, { 3, 15, 4, 14 }, { 5, 17, 6, 16 }, { 7, 19, 8, 18 }, { 9, 2, 10, 3 }, { 11, 20, 12, 1 }, { 13, 9, 14, 8 }, { 15, 7, 16, 6 }, { 17, 5, 18, 4 }, { 19, 12, 20, 13 } } }, + { "10_{17}", { { 6, 2, 7, 1 }, { 12, 4, 13, 3 }, { 20, 15, 1, 16 }, { 16, 7, 17, 8 }, { 18, 9, 19, 10 }, { 8, 17, 9, 18 }, { 10, 19, 11, 20 }, { 14, 6, 15, 5 }, { 2, 12, 3, 11 }, { 4, 14, 5, 13 } } }, + { "10_{18}", { { 2, 14, 3, 13 }, { 4, 10, 5, 9 }, { 6, 17, 7, 18 }, { 8, 15, 9, 16 }, { 10, 20, 11, 19 }, { 12, 2, 13, 1 }, { 14, 12, 15, 11 }, { 16, 7, 17, 8 }, { 18, 5, 19, 6 }, { 20, 4, 1, 3 } } }, + { "10_{19}", { { 1, 13, 2, 12 }, { 3, 15, 4, 14 }, { 5, 10, 6, 11 }, { 7, 16, 8, 17 }, { 9, 18, 10, 19 }, { 11, 1, 12, 20 }, { 13, 3, 14, 2 }, { 15, 8, 16, 9 }, { 17, 6, 18, 7 }, { 19, 5, 20, 4 } } }, + { "10_{20}", { { 2, 8, 3, 7 }, { 4, 15, 5, 16 }, { 6, 4, 7, 3 }, { 8, 2, 9, 1 }, { 10, 18, 11, 17 }, { 12, 20, 13, 19 }, { 14, 5, 15, 6 }, { 16, 14, 17, 13 }, { 18, 12, 19, 11 }, { 20, 10, 1, 9 } } }, + { "10_{21}", { { 1, 15, 2, 14 }, { 3, 13, 4, 12 }, { 5, 17, 6, 16 }, { 7, 11, 8, 10 }, { 9, 18, 10, 19 }, { 11, 1, 12, 20 }, { 13, 3, 14, 2 }, { 15, 5, 16, 4 }, { 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14 }, { 13, 9, 14, 8 }, { 15, 1, 16, 20 }, { 17, 3, 18, 2 }, { 19, 7, 20, 6 } } }, + { "10_{150}", { { 1, 17, 2, 16 }, { 3, 7, 4, 6 }, { 5, 1, 6, 20 }, { 8, 14, 9, 13 }, { 10, 8, 11, 7 }, { 11, 18, 12, 19 }, { 14, 10, 15, 9 }, { 15, 3, 16, 2 }, { 17, 12, 18, 13 }, { 19, 5, 20, 4 } } }, + { "10_{151}", { { 2, 15, 3, 16 }, { 4, 19, 5, 20 }, { 6, 3, 7, 4 }, { 8, 14, 9, 13 }, { 10, 8, 11, 7 }, { 11, 18, 12, 19 }, { 14, 10, 15, 9 }, { 16, 1, 17, 2 }, { 17, 12, 18, 13 }, { 20, 5, 1, 6 } } }, + { "10_{152}", { { 1, 7, 2, 6 }, { 3, 9, 4, 8 }, { 5, 19, 6, 18 }, { 7, 3, 8, 2 }, { 10, 16, 11, 15 }, { 12, 20, 13, 19 }, { 14, 10, 15, 9 }, { 16, 12, 17, 11 }, { 17, 5, 18, 4 }, { 20, 14, 1, 13 } } }, + { "10_{153}", { { 2, 17, 3, 18 }, { 3, 11, 4, 10 }, { 6, 19, 7, 20 }, { 7, 13, 8, 12 }, { 9, 5, 10, 4 }, { 11, 15, 12, 14 }, { 13, 9, 14, 8 }, { 16, 1, 17, 2 }, { 18, 5, 19, 6 }, { 20, 15, 1, 16 } } }, + { "10_{154}", { { 1, 17, 2, 16 }, { 3, 7, 4, 6 }, { 5, 1, 6, 20 }, { 8, 14, 9, 13 }, { 10, 8, 11, 7 }, { 12, 18, 13, 17 }, { 14, 10, 15, 9 }, { 15, 3, 16, 2 }, { 18, 12, 19, 11 }, { 19, 5, 20, 4 } } }, + { "10_{155}", { { 1, 11, 2, 10 }, { 3, 13, 4, 12 }, { 5, 14, 6, 15 }, { 6, 19, 7, 20 }, { 9, 16, 10, 17 }, { 11, 3, 12, 2 }, { 13, 19, 14, 18 }, { 15, 8, 16, 9 }, { 17, 4, 18, 5 }, { 20, 7, 1, 8 } } }, + { "10_{156}", { { 1, 13, 2, 12 }, { 3, 8, 4, 9 }, { 5, 14, 6, 15 }, { 7, 18, 8, 19 }, { 10, 15, 11, 16 }, { 11, 1, 12, 20 }, { 13, 6, 14, 7 }, { 16, 9, 17, 10 }, { 17, 4, 18, 5 }, { 19, 3, 20, 2 } } }, + { "10_{157}", { { 2, 8, 3, 7 }, { 3, 10, 4, 11 }, { 5, 18, 6, 19 }, { 8, 15, 9, 16 }, { 11, 4, 12, 5 }, { 14, 1, 15, 2 }, { 16, 9, 17, 10 }, { 17, 13, 18, 12 }, { 19, 6, 20, 7 }, { 20, 13, 1, 14 } } }, + { "10_{158}", { { 3, 9, 4, 8 }, { 4, 11, 5, 12 }, { 6, 20, 7, 19 }, { 9, 17, 10, 16 }, { 12, 5, 13, 6 }, { 14, 1, 15, 2 }, { 15, 11, 16, 10 }, { 17, 3, 18, 2 }, { 18, 8, 19, 7 }, { 20, 13, 1, 14 } } }, + { "10_{159}", { { 2, 10, 3, 9 }, { 4, 11, 5, 12 }, { 5, 19, 6, 18 }, { 7, 1, 8, 20 }, { 8, 14, 9, 13 }, { 10, 15, 11, 16 }, { 12, 18, 13, 17 }, { 14, 1, 15, 2 }, { 16, 4, 17, 3 }, { 19, 7, 20, 6 } } }, + { "10_{160}", { { 1, 13, 2, 12 }, { 4, 18, 5, 17 }, { 6, 14, 7, 13 }, { 8, 4, 9, 3 }, { 10, 15, 11, 16 }, { 11, 1, 12, 20 }, { 14, 6, 15, 5 }, { 16, 9, 17, 10 }, { 18, 8, 19, 7 }, { 19, 3, 20, 2 } } }, + { "10_{161}", { { 1, 13, 2, 12 }, { 4, 18, 5, 17 }, { 6, 14, 7, 13 }, { 8, 4, 9, 3 }, { 9, 17, 10, 16 }, { 11, 1, 12, 20 }, { 14, 6, 15, 5 }, { 15, 11, 16, 10 }, { 18, 8, 19, 7 }, { 19, 3, 20, 2 } } }, + { "10_{162}", { { 2, 9, 3, 10 }, { 5, 12, 6, 13 }, { 6, 18, 7, 17 }, { 8, 16, 9, 15 }, { 10, 19, 11, 20 }, { 11, 4, 12, 5 }, { 14, 1, 15, 2 }, { 16, 8, 17, 7 }, { 18, 4, 19, 3 }, { 20, 13, 1, 14 } } }, + { "10_{163}", { { 1, 8, 2, 9 }, { 3, 11, 4, 10 }, { 6, 14, 7, 13 }, { 9, 17, 10, 16 }, { 11, 18, 12, 19 }, { 12, 8, 13, 7 }, { 14, 6, 15, 5 }, { 15, 1, 16, 20 }, { 17, 2, 18, 3 }, { 19, 5, 20, 4 } } }, + { "10_{164}", { { 2, 12, 3, 11 }, { 3, 16, 4, 17 }, { 6, 14, 7, 13 }, { 8, 15, 9, 16 }, { 9, 5, 10, 4 }, { 12, 2, 13, 1 }, { 14, 19, 15, 20 }, { 17, 10, 18, 11 }, { 18, 5, 19, 6 }, { 20, 8, 1, 7 } } }, + { "10_{165}", { { 1, 8, 2, 9 }, { 3, 12, 4, 13 }, { 4, 17, 5, 18 }, { 7, 2, 8, 3 }, { 9, 14, 10, 15 }, { 11, 17, 12, 16 }, { 13, 6, 14, 7 }, { 15, 20, 16, 1 }, { 18, 5, 19, 6 }, { 19, 11, 20, 10 } } } +}; + +unsigned +rolfsen_crossing_knots (unsigned n) +{ + assert (n <= 10); + switch (n) + { + case 0: // ??? really? + case 1: + case 2: + return 0; + + case 3: + return sizeof rolfsen3 / sizeof rolfsen3[0]; + case 4: + return sizeof rolfsen4 / sizeof rolfsen4[0]; + case 5: + return sizeof rolfsen5 / sizeof rolfsen5[0]; + case 6: + return sizeof rolfsen6 / sizeof rolfsen6[0]; + case 7: + return sizeof rolfsen7 / sizeof rolfsen7[0]; + case 8: + return sizeof rolfsen8 / sizeof rolfsen8[0]; + case 9: + return sizeof rolfsen9 / sizeof rolfsen9[0]; + case 10: + return sizeof rolfsen10 / sizeof rolfsen10[0]; + default: abort (); + } +} + +planar_diagram +rolfsen_knot (unsigned n, unsigned k) +{ + assert (n <= 10); + assert (k >= 1); + assert (k <= rolfsen_crossing_knots (n)); + k --; + switch (n) + { + case 3: + return planar_diagram (rolfsen3[k].name, 3, rolfsen3[k].crossing_ar); + case 4: + return planar_diagram (rolfsen4[k].name, 4, rolfsen4[k].crossing_ar); + case 5: + return planar_diagram (rolfsen5[k].name, 5, rolfsen5[k].crossing_ar); + case 6: + return planar_diagram (rolfsen6[k].name, 6, rolfsen6[k].crossing_ar); + case 7: + return planar_diagram (rolfsen7[k].name, 7, rolfsen7[k].crossing_ar); + case 8: + return planar_diagram (rolfsen8[k].name, 8, rolfsen8[k].crossing_ar); + case 9: + return planar_diagram (rolfsen9[k].name, 9, rolfsen9[k].crossing_ar); + case 10: + return planar_diagram (rolfsen10[k].name, 10, rolfsen10[k].crossing_ar); + default: abort (); + } +} + +unsigned htw_alternating[16] = { + 0, 0, 1, 1, 2, 3, 7, 18, 41, 123, 367, 1288, 4878, 19536, 85263, 379799 +}; + +unsigned htw_nonalternating[16] = { + 0, 0, 0, 0, 0, 0, 0, 3, 8, 42, 185, 888, 5110, 27436, 168030, 1008906 +}; + +unsigned +htw_knots (unsigned n, bool alternating) +{ + assert (between (1, n, 16)); + if (alternating) + return htw_alternating[n - 1]; + else + return htw_nonalternating[n - 1]; +} + +unsigned +htw_knots (unsigned n) +{ + assert (between (1, n, 16)); + return htw_alternating[n - 1] + htw_nonalternating[n - 1]; +} + +dt_code +htw_knot (unsigned n, bool alternating, unsigned k) +{ + assert (between (1, n, 16)); + assert (between (1, k, htw_knots (n, alternating))); + + const char *file; + long off; + if (alternating) + { + unsigned before = 0; + for (unsigned i = 0; i < n - 1; i ++) + before += htw_alternating[i]; + off = 8 * (before + k - 1); + + file = HOME "alternating"; + } + else + { + unsigned before = 0; + for (unsigned i = 0; i < n - 1; i ++) + before += htw_nonalternating[i]; + off = 10 * (before + k - 1); + + file = HOME "nonalternating"; + } + FILE *fp = fopen (file, "r"); + if (fp == 0) + { + stderror ("fopen: %s", file); + exit (EXIT_FAILURE); + } + + if (fseek (fp, off, SEEK_SET) != 0) + { + stderror ("fseek"); + exit (EXIT_FAILURE); + } + + unsigned char buf[10]; + size_t count = (n + 1) / 2; + if (!alternating) + count += 2; + if (fread (buf, 1, count, fp) != count) + { + stderror ("fread"); + exit (EXIT_FAILURE); + } + + fclose (fp); + fp = 0; + + int even_labels_ar[16]; + for (unsigned i = 0; i < n; i ++) + { + unsigned j = buf[i / 2]; + j = is_even (i) + ? j >> 4 + : j & 0xf; + if (j == 0) + j = 16; + j *= 2; + even_labels_ar[i] = j; + } + + if (!alternating) + { + unsigned signs = buf[count - 2] << 8 | buf[count - 1]; + for (unsigned i = 0; i < n; i ++) + { + if (!unsigned_bittest (signs, 16 - i)) + even_labels_ar[i] *= -1; + } + } + + char buf2[100]; + sprintf (buf2, "%d%c%d", n, alternating ? 'a' : 'n', k); + + return dt_code (std::string (buf2), n, even_labels_ar); +} + +dt_code +htw_knot (unsigned n, unsigned k) +{ + assert (between (1, n, 16)); + assert (k >= 1); + + unsigned na = htw_knots (n, 1); + if (k <= na) + return htw_knot (n, 1, k); + else + return htw_knot (n, 0, k - na); +} + +unsigned mt_alternating[14] = { + 0, 0, 0, 1, 3, 8, 14, 39, 96, 297, 915, 3308, 12417, 51347, +}; + +unsigned mt_nonalternating[14] = { + 0, 0, 0, 0, 0, 1, 2, 11, 36, 155, 644, 3144, 16454, 91616, +}; + +unsigned +mt_links (unsigned n, bool alternating) +{ + assert (between (1, n, 14)); + if (alternating) + return mt_alternating[n - 1]; + else + return mt_nonalternating[n - 1]; +} + +dt_code +mt_link (unsigned n, bool alternating, unsigned k) +{ + assert (between (1, n, 14)); + assert (between (1, k, mt_links (n, alternating))); + + char buf[1000]; + + sprintf (buf, HOME "mtlinks/hyperbolic_data_%02d%c", n, alternating ? 'a' : 'n'); + FILE *fp = fopen (buf, "r"); + if (fp == 0) + { + stderror ("fopen: %s", buf); + exit (EXIT_FAILURE); + } + + char *p; + + for (unsigned i = 1; i <= k; i ++) + { + if (fgets (buf, 1000, fp) == 0) + { + stderror ("fgets: %s", buf); + exit (EXIT_FAILURE); + } + assert (alpha_to_int (buf[0]) == (int)n); + } + + fclose (fp); + + char buf2[1000]; + sprintf (buf2, "L%d%c%d", n, alternating ? 'a' : 'n', k); + + return dt_code (buf2, buf); +} + +planar_diagram +torus_knot (unsigned n_strands, unsigned n_shifts) +{ + basedvector, 1> crossings ((n_strands - 1) * n_shifts); + for (unsigned i = 1; i <= crossings.size (); i ++) + crossings[i].resize (4); + + basedvector start_strands (n_strands), + strands (n_strands), + new_strands (n_strands); + + unsigned n_crossings = 0; + unsigned n_edges = 0; + + for (unsigned i = 1; i <= n_strands; i ++) + strands[i] = start_strands[i] = ++ n_edges; + + for (unsigned i = 1; i <= n_shifts; i ++) + { + if (i == n_shifts) + new_strands = start_strands; + else + { + for (unsigned j = 1; j <= n_strands; j ++) + new_strands[j] = ++ n_edges; + } + + unsigned p = strands[1]; + for (unsigned j = 1; j < n_strands; j ++) + { + unsigned c = ++ n_crossings; + unsigned newp; + if (j == n_strands - 1) + newp = new_strands[n_strands]; + else + newp = ++ n_edges; + + crossings[c][1] = strands[j + 1]; + crossings[c][2] = newp; + crossings[c][3] = new_strands[j]; + crossings[c][4] = p; + + p = newp; + } + + basedvector tmp = new_strands; + new_strands = strands; + strands = tmp; + } + + assert (n_crossings == crossings.size ()); + assert (n_edges == n_crossings * 2); + + char buf[1000]; + sprintf (buf, "T(%d,%d)", n_strands, n_shifts); + + return planar_diagram (std::string (buf), crossings); +} + +planar_diagram +braid (unsigned n_strands, unsigned n_twists, int twists_ar[]) +{ + basedvector twists (n_twists); + for (unsigned i = 1; i <= n_twists; i ++) + twists[i] = twists_ar[i - 1]; + return braid (n_strands, twists); +} + +planar_diagram +braid (unsigned n_strands, const basedvector &twists) +{ + unsigned n_crossings = twists.size (); + unsigned e = 0; + + basedvector final_strands (n_strands); + basedvector strands (n_strands); + for (unsigned i = 1; i <= n_strands; i ++) + { + ++ e; + final_strands[i] = strands[i] = e; + } + + basedvector last_twist (n_strands); + for (unsigned i = 1; i <= n_strands; i ++) + last_twist[i] = 0; + for (unsigned i = 1; i <= twists.size (); i ++) + { + unsigned t = std::abs (twists[i]); + 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, 1> crossings (n_crossings); + for (unsigned i = 1; i <= n_crossings; i ++) + crossings[i] = basedvector (4); + + for (unsigned i = 1; i <= twists.size (); i ++) + { + unsigned t = std::abs (twists[i]); + unsigned e1 = strands[t], + e4 = strands[t + 1]; + unsigned e2, e3; + if (last_twist[t] == i) + { + assert (final_strands[t] != 0); + e2 = final_strands[t]; + strands[t] = final_strands[t] = 0; + } + else + { + e ++; + e2 = e; + strands[t] = e; + } + if (last_twist[t + 1] == i) + { + assert (final_strands[t + 1] != 0); + e3 = final_strands[t + 1]; + strands[t + 1] = final_strands[t + 1] = 0; + } + else + { + e ++; + e3 = e; + strands[t + 1] = e; + } + + if (twists[i] > 0) + { + crossings[i][1] = e1; + crossings[i][2] = e2; + crossings[i][3] = e3; + crossings[i][4] = e4; + } + else + { + crossings[i][1] = e2; + crossings[i][2] = e3; + crossings[i][3] = e4; + crossings[i][4] = e1; + } + } + + assert (e == n_crossings * 2); +#ifndef NDEBUG + for (unsigned i = 1; i <= n_strands; i ++) + assert (final_strands[i] == 0); +#endif + + return planar_diagram ("abraid", crossings); +} + +basedvector, 1> +mutant_knot_groups (unsigned n) +{ + assert (11 <= n && n <= 15); + + char buf[1000]; + sprintf (buf, HOME "mutant_knot_groups/dat%d", n); + + FILE *fp = fopen (buf, "r"); + if (fp == 0) + { + stderror ("fopen: %s", buf); + exit (EXIT_FAILURE); + } + + basedvector, 1> r; + while (fgets (buf, sizeof buf, fp) != 0) + { + const char *p = buf; + + basedvector g; + + unsigned i; + int k; + while (sscanf (p, "%d%n", &i, &k) == 1) + { + g.append (i); + p += k; + } + + assert (*p == '\n'); + assert (g.size () > 0); + r.append (g); + } + + return r; +} diff --git a/knotkit.h b/knotkit.h new file mode 100644 index 0000000..c0165ae --- /dev/null +++ b/knotkit.h @@ -0,0 +1,45 @@ + +// includes lib.h +#include + +extern bool verbose; + +static const unsigned max_edges = 58; +static const unsigned max_crossings = 29; +static const unsigned max_circles = 58; + +class knot_diagram; + +#include +#include +#include + +#include +#include +#include + +#include +#include + +unsigned rolfsen_crossing_knots (unsigned n); +planar_diagram rolfsen_knot (unsigned n, unsigned k); + +unsigned htw_knots (unsigned n, bool alternating); +unsigned htw_knots (unsigned n); + +dt_code htw_knot (unsigned n, bool alternating, unsigned k); +dt_code htw_knot (unsigned n, unsigned k); + +unsigned mt_links (unsigned n, bool alternating); +dt_code mt_link (unsigned n, bool alternating, unsigned k); + +planar_diagram torus_knot (unsigned n_strands, unsigned n_shifts); + +planar_diagram braid (unsigned n_strands, const basedvector &twists); +planar_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); + +// 11 <= n <= 15 +basedvector, 1> mutant_knot_groups (unsigned n); diff --git a/lib/bitset.cpp b/lib/bitset.cpp new file mode 100644 index 0000000..de92d69 --- /dev/null +++ b/lib/bitset.cpp @@ -0,0 +1,107 @@ + +#include + +bool +bitset::is_empty () const +{ + unsigned nw = v.size (); + for (unsigned i = 0; i < nw; i ++) + { + if (v[i] != 0) + return 0; + } + return 1; +} + +unsigned +bitset::card () const +{ + unsigned c = 0; + unsigned nw = v.size (); + for (unsigned i = 0; i < nw; i ++) + c += word_bitcount (v[i]); + + assert (c <= n); + + return c; +} + +unsigned +bitset::head () const +{ + bitset_const_iter i = *this; + assert (i); + return i.val (); +} + +unsigned +bitset::pop () +{ + unsigned i = head (); + operator -= (i); + return i; +} + +bitset & +bitset::operator |= (const bitset &bs) +{ + assert (n == bs.n); + assert (v.size () == bs.v.size ()); + int nw = v.size (); + for (int i = 0; i < nw; i ++) + v[i] |= bs.v[i]; + return *this; +} + +bitset & +bitset::operator &= (const bitset &bs) +{ + assert (n == bs.n); + assert (v.size () == bs.v.size ()); + int nw = v.size (); + for (int i = 0; i < nw; i ++) + v[i] &= bs.v[i]; + return *this; +} + +bitset & +bitset::operator ^= (const bitset &bs) +{ + assert (n == bs.n); + assert (v.size () == bs.v.size ()); + int nw = v.size (); + for (int i = 0; i < nw; i ++) + v[i] ^= bs.v[i]; + return *this; +} + +bool +bitset::operator == (const bitset &bs) const +{ + assert (n == bs.n); + assert (v.size () == bs.v.size ()); + int nw = v.size (); + for (int i = 0; i < nw; i ++) + { + if (v[i] != bs.v[i]) + return 0; + } + return 1; +} + +void +bitset_const_iter::find_next () +{ + unsigned wn = v.size (); + + while (!w) + { + wi ++; + if (wi < wn) + w = v[wi]; + else + break; + } + if (wi < wn) + b = word_ffs (w); +} diff --git a/lib/bitset.h b/lib/bitset.h new file mode 100644 index 0000000..48cb575 --- /dev/null +++ b/lib/bitset.h @@ -0,0 +1,138 @@ + +typedef uint64 word_t; + +static const unsigned word_bits = uint64_bits; +static const unsigned word_bit_mask = uint64_bit_mask; + +inline unsigned word_bitcount (word_t x) { return uint64_bitcount (x); } +inline unsigned word_ffs (word_t x) { return uint64_ffs (x); } + +inline word_t word_bitset (word_t x, unsigned i) { return uint64_bitset (x, i); } +inline word_t word_bitclear (word_t x, unsigned i) { return uint64_bitclear (x, i); } +inline bool word_bittest (word_t x, unsigned i) { return uint64_bittest (x, i); } + +class bitset_iter; +class bitset_const_iter; + +class bitset +{ +private: + friend class bitset_iter; + friend class bitset_const_iter; + + friend class smallbitset; + + unsigned n; + vector v; + + public: + typedef bitset_iter iter; + typedef bitset_const_iter const_iter; + +public: + bitset () : n(0) { } + inline bitset (unsigned n_); + bitset (const bitset &bs) : n(bs.n), v(bs.v) { } + + bitset (copy, const bitset &bs) : n(bs.n), v(COPY, bs.v) { } + // explicit bitset (const unsignedset &t); + explicit bitset (const ullmanset<1> &t); + + ~bitset () { } + + bitset &operator = (const bitset &bs) { n = bs.n; v = bs.v; return *this; } + // bitset &operator = (const unsignedset &t); + bitset &operator = (const ullmanset<1> &t); + + bool is_empty () const; + unsigned card () const; + unsigned size () const { return n; } + unsigned head () const; + unsigned pop (); + + void push (unsigned i) { assert (! (*this % i)); operator += (i); } + void yank (unsigned i) { assert (*this % i); operator -= (i); } + inline void operator += (unsigned i); + inline void operator -= (unsigned i); + + bitset &operator |= (const bitset &bs); + bitset &operator &= (const bitset &bs); + bitset &operator ^= (const bitset &bs); + + bool operator == (const bitset &bs) const; + bool operator != (const bitset &bs) const { return !operator == (bs); } + + inline bool operator % (unsigned i) const; + inline bool operator () (unsigned i) const { return operator % (i); } +}; + +class bitset_const_iter +{ +private: + const vector &v; + + unsigned wi; + word_t w; + unsigned b; + + void find_next (); + void advance () + { + assert (wi < v.size ()); + assert (word_bittest (w, b)); + + w = word_bitclear (w, b); + find_next (); + } + +public: + bitset_const_iter (const bitset &bs) : v(bs.v), wi(0), w(v[0]) { find_next (); } + ~bitset_const_iter () { } + + int val () const { assert (wi < v.size ()); return wi * word_bits + b; } + bitset_const_iter &operator ++ () { advance (); return *this; } + void operator ++ (int) { advance (); } + operator bool () const { return wi < v.size (); } +}; + +bitset::bitset (unsigned n_) + : n(n_), + v((n_ + word_bits - 1) / word_bits) +{ + unsigned wn = v.size (); + for (unsigned i = 0; i < wn; i ++) + v[i] = 0; +} + +void +bitset::operator += (unsigned i) +{ + assert (i >= 1); + assert (i <= n); + + unsigned w = (i - 1) / word_bits; + unsigned b = (i - 1) & word_bit_mask; + v[w] = word_bitset (v[w], b + 1); +} + +void +bitset::operator -= (unsigned i) +{ + assert (i >= 1); + assert (i <= n); + + unsigned w = (i - 1) / word_bits; + unsigned b = (i - 1) & word_bit_mask; + v[w] = word_bitclear (v[w], b + 1); +} + +bool +bitset::operator % (unsigned i) const +{ + assert (i >= 1); + assert (i <= n); + + unsigned w = (i - 1) / word_bits; + unsigned b = (i - 1) & word_bit_mask; + return word_bittest (v[w], b + 1); +} diff --git a/lib/directed_multigraph.cpp b/lib/directed_multigraph.cpp new file mode 100644 index 0000000..f9fcf5d --- /dev/null +++ b/lib/directed_multigraph.cpp @@ -0,0 +1,182 @@ + +#include + +unsigned +directed_multigraph::num_components () const +{ + unionfind<1> u (n_vertices); + + unsigned n_edges = num_edges (); + for (unsigned i = 1; i <= n_edges; i ++) + u.join (edge_from[i], edge_to[i]); + return u.num_sets (); +} + +directed_multigraph +directed_multigraph::component (unsigned v, + basedvector &edge_inj, + basedvector &virtex_inj) const +{ + unionfind<1> u (n_vertices); + + unsigned n_edges = num_edges (); + for (unsigned i = 1; i <= n_edges; i ++) + u.join (edge_from[i], edge_to[i]); + + ullmanset<1> comp_vertices (n_vertices); + for (unsigned i = 1; i <= n_vertices; i ++) + { + if (u.find (v) == u.find (i)) + comp_vertices.push (i); + } + + unsigned comp_n_vertices = comp_vertices.card (); + virtex_inj = basedvector (comp_n_vertices); + for (unsigned i = 1; i <= comp_n_vertices; i ++) + virtex_inj[i] = comp_vertices.nth (i - 1); + + basedvector comp_edge_from, + comp_edge_to; + for (unsigned i = 1; i <= n_edges; i ++) + { + if (comp_vertices % edge_from[i]) + { + comp_edge_from.append (comp_vertices.position (edge_from[i]) + 1); + comp_edge_to.append (comp_vertices.position (edge_to[i]) + 1); + edge_inj.append (i); + } + } + + return directed_multigraph (comp_n_vertices, + comp_edge_from, + comp_edge_to); +} + +class spanning_tree_builder +{ +public: + const directed_multigraph &g; + basedvector, 1> vertex_edges; + + ullmanset<1> tree; + ullmanset<1> visited_edges; + ullmanset<1> visited_vertices; + + ullmanset<1> edges_to_visit; + + basedvector, 1> trees; + + void enumerate (unsigned i); + +public: + spanning_tree_builder (const directed_multigraph &g_); +}; + +spanning_tree_builder::spanning_tree_builder (const directed_multigraph &g_) + : g(g_), + vertex_edges(g.n_vertices), + tree(g.num_edges ()), + visited_edges(g.num_edges ()), + visited_vertices(g.n_vertices), + edges_to_visit(g.num_edges ()) +{ + for (unsigned i = 1; i <= g.num_edges (); i ++) + { + vertex_edges[g.edge_from[i]] += i; + vertex_edges[g.edge_to[i]] += i; + } + + for (set_const_iter i = vertex_edges[1]; i; i ++) + edges_to_visit += i.val (); + enumerate (1); +} + +void +spanning_tree_builder::enumerate (unsigned i) +{ + assert (i >= 1); + + if (visited_vertices.card () == g.n_vertices) + { + set s; + setassign (s, tree.size (), tree); + trees.append (s); + + return; + } + + if (i > g.num_edges () + || i > edges_to_visit.card ()) + return; + + unsigned e = edges_to_visit.nth (i - 1); + + unsigned visited_edges_card = visited_edges.card (); + visited_edges.push (e); + + unsigned from = g.edge_from[e], + to = g.edge_to[e]; + if (! ((visited_vertices % from) && (visited_vertices % to))) + { + unsigned edges_to_visit_card = edges_to_visit.card (); + unsigned visited_vertices_card = visited_vertices.card (); + unsigned tree_card = tree.card (); + + tree.push (e); + if (! (visited_vertices % from)) + { + visited_vertices += from; + + for (set_const_iter j = vertex_edges[from]; j; j ++) + { + if (! (visited_edges % j.val ())) + edges_to_visit += j.val (); + } + } + if (! (visited_vertices % to)) + { + visited_vertices += to; + + for (set_const_iter j = vertex_edges[to]; j; j ++) + { + if (! (visited_edges % j.val ())) + edges_to_visit += j.val (); + } + } + + // with e + enumerate (i + 1); + + tree.restore (tree_card); + visited_vertices.restore (visited_vertices_card); + edges_to_visit.restore (edges_to_visit_card); + } + + // without e + enumerate (i + 1); + + visited_edges.restore (visited_edges_card); +} + +basedvector, 1> +directed_multigraph::spanning_trees () const +{ + spanning_tree_builder builder (*this); + return builder.trees; +} + +void +directed_multigraph::display_self () const +{ + printf ("directed_multigraph\n"); + printf (" n_vertices %d\n", n_vertices); + printf (" n_edges %d\n", num_edges ()); + printf (" edges:\n"); + for (unsigned i = 1; i <= num_edges (); i ++) + { + printf (" % 4d: %d -> %d\n", + i, + edge_from[i], + edge_to[i]); + } +} diff --git a/lib/directed_multigraph.h b/lib/directed_multigraph.h new file mode 100644 index 0000000..775f8c3 --- /dev/null +++ b/lib/directed_multigraph.h @@ -0,0 +1,52 @@ + +class directed_multigraph +{ + public: + unsigned n_vertices; + basedvector edge_from, + edge_to; + + public: + directed_multigraph () : n_vertices(0) { } + directed_multigraph (unsigned n_vertices_, + basedvector edge_from_, + basedvector edge_to_) + : n_vertices(n_vertices_), + edge_from(edge_from_), + edge_to(edge_to_) + { + } + + directed_multigraph (const directed_multigraph &g) + : n_vertices(g.n_vertices), + edge_from(g.edge_from), + edge_to(g.edge_to) + { } + + directed_multigraph (copy, const directed_multigraph &g) + : n_vertices(g.n_vertices), + edge_from(COPY, g.edge_from), + edge_to(COPY, g.edge_to) + { + } + + directed_multigraph &operator = (const directed_multigraph &g) + { + n_vertices = g.n_vertices; + edge_from = g.edge_from; + edge_to = g.edge_to; + return *this; + } + + unsigned num_edges () const { return edge_from.size (); } + unsigned num_components () const; + + // the component containing the vertex v + directed_multigraph component (unsigned v, + basedvector &edge_inj, + basedvector &virtex_inj) const; + + basedvector, 1> spanning_trees () const; + + void display_self () const; +}; diff --git a/lib/hashmap.h b/lib/hashmap.h new file mode 100644 index 0000000..1616840 --- /dev/null +++ b/lib/hashmap.h @@ -0,0 +1,23 @@ + +/* wrapper for std::unordered_map */ + +template +struct hasher : public std::unary_function +{ + hash_t operator () (const K &k) const { return hash (k); } +}; + +template +class hashmap : public map_wrapper >, K, V> +{ + typedef map_wrapper >, K, V> base; + + public: + hashmap () { } + hashmap (const hashmap &m) : base(m) { } + hashmap (copy, const hashmap &m) : base(COPY, m) { } + hashmap (reader &r) : base(r) { } + ~hashmap () { } + + hashmap &operator = (const hashmap &m) { base::operator = (m); return *this; } +}; diff --git a/lib/io.cpp b/lib/io.cpp new file mode 100644 index 0000000..273de3a --- /dev/null +++ b/lib/io.cpp @@ -0,0 +1,152 @@ + +#include + +writer::writer (const std::string &filename) + : fp(0) +{ + fp = fopen (filename.c_str (), "w"); + if (fp == 0) + { + stderror ("fopen: %s", filename.c_str ()); + exit (EXIT_FAILURE); + } +} + +writer::~writer () +{ + if (fp) + { + fclose (fp); + fp = 0; + } +} + +reader::reader (const std::string &filename) + : fp(0) +{ + fp = fopen (filename.c_str (), "r"); + if (fp == 0) + { + stderror ("fopen: %s", filename.c_str ()); + exit (EXIT_FAILURE); + } +} + +reader::~reader () +{ + if (fp) + { + fclose (fp); + fp = 0; + } +} + +void +writer::write_char (char x) +{ + if (fwrite (&x, sizeof x, 1, fp) != 1) + { + stderror ("fwrite"); + exit (EXIT_FAILURE); + } +} + +void +writer::write_bool (bool x) +{ + if (fwrite (&x, sizeof x, 1, fp) != 1) + { + stderror ("fwrite"); + exit (EXIT_FAILURE); + } +} + +void +writer::write_int (int x) +{ + if (fwrite (&x, sizeof x, 1, fp) != 1) + { + stderror ("fwrite"); + exit (EXIT_FAILURE); + } +} + +void +writer::write_unsigned (unsigned x) +{ + if (fwrite (&x, sizeof x, 1, fp) != 1) + { + stderror ("fwrite"); + exit (EXIT_FAILURE); + } +} + +void +writer::write_uint64 (uint64 x) +{ + if (fwrite (&x, sizeof x, 1, fp) != 1) + { + stderror ("fwrite"); + exit (EXIT_FAILURE); + } +} + +bool +reader::read_bool () +{ + bool x; + if (fread (&x, sizeof x, 1, fp) != 1) + { + stderror ("fread"); + exit (EXIT_FAILURE); + } + return x; +} + +char +reader::read_char () +{ + char x; + if (fread (&x, sizeof x, 1, fp) != 1) + { + stderror ("fread"); + exit (EXIT_FAILURE); + } + return x; +} + +int +reader::read_int () +{ + int x; + if (fread (&x, sizeof x, 1, fp) != 1) + { + stderror ("fread"); + exit (EXIT_FAILURE); + } + return x; +} + +unsigned +reader::read_unsigned () +{ + unsigned x; + if (fread (&x, sizeof x, 1, fp) != 1) + { + stderror ("fread"); + exit (EXIT_FAILURE); + } + return x; +} + +uint64 +reader::read_uint64 () +{ + uint64 x; + if (fread (&x, sizeof x, 1, fp) != 1) + { + stderror ("fread"); + exit (EXIT_FAILURE); + } + return x; +} diff --git a/lib/io.h b/lib/io.h new file mode 100644 index 0000000..dfadb45 --- /dev/null +++ b/lib/io.h @@ -0,0 +1,59 @@ + +class writer +{ + public: + FILE *fp; + + public: + writer (const std::string &filename); + writer (const writer &); // doesn't exist + ~writer (); + + writer &operator = (const writer &); // doesn't exist + + void write_bool (bool x); + void write_char (char x); + void write_int (int x); + void write_unsigned (unsigned x); + void write_uint64 (uint64 x); +}; + +class reader +{ + public: + FILE *fp; + + public: + reader (const std::string &filename); + reader (const reader &); // doesn't exist + ~reader (); + + reader &operator = (const reader &); // doesn't exist + + bool read_bool (); + char read_char (); + int read_int (); + unsigned read_unsigned (); + uint64 read_uint64 (); +}; + +inline void read (reader &r, bool &x) { x = r.read_bool (); } +inline void read (reader &r, char &x) { x = r.read_char (); } +inline void read (reader &r, int &x) { x = r.read_int (); } +inline void read (reader &r, unsigned &x) { x = r.read_unsigned (); } +inline void read (reader &r, uint64 &x) { x = r.read_uint64 (); } +template inline void read (reader &r, T &x) { x = T(r); } + +inline void ctor_read (reader &r, bool *p) { *p = r.read_bool (); } +inline void ctor_read (reader &r, char *p) { *p = r.read_char (); } +inline void ctor_read (reader &r, int *p) { *p = r.read_int (); } +inline void ctor_read (reader &r, unsigned *p) { *p = r.read_unsigned (); } +inline void ctor_read (reader &r, uint64 *p) { *p = r.read_uint64 (); } +template inline void ctor_read (reader &r, T *p) { new (p) T (r); } + +inline void write (writer &w, bool x) { w.write_bool (x); } +inline void write (writer &w, char x) { w.write_char (x); } +inline void write (writer &w, int x) { w.write_int (x); } +inline void write (writer &w, unsigned x) { w.write_unsigned (x); } +inline void write (writer &w, uint64 x) { w.write_uint64 (x); } +template inline void write (writer &w, const T &x) { x.write_self (w); } diff --git a/lib/lib.cpp b/lib/lib.cpp new file mode 100644 index 0000000..74ff094 --- /dev/null +++ b/lib/lib.cpp @@ -0,0 +1,74 @@ + +#include + +#include + +unsigned +unsigned_pack (unsigned n, unsigned x, unsigned z) +{ + assert (n <= 32); + assert ((x >> n) == 0); + + static const unsigned pack4[256] = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 1, 3, 5, 7, 9, 11, 13, 15, 1, 3, 5, 7, 9, 11, 13, 15, 2, 3, 6, 7, 10, 11, 14, 15, 2, 3, 6, 7, 10, 11, 14, 15, 3, 7, 11, 15, 3, 7, 11, 15, 3, 7, 11, 15, 3, 7, 11, 15, 4, 5, 6, 7, 12, 13, 14, 15, 4, 5, 6, 7, 12, 13, 14, 15, 5, 7, 13, 15, 5, 7, 13, 15, 5, 7, 13, 15, 5, 7, 13, 15, 6, 7, 14, 15, 6, 7, 14, 15, 6, 7, 14, 15, 6, 7, 14, 15, 7, 15, 7, 15, 7, 15, 7, 15, 7, 15, 7, 15, 7, 15, 7, 15, 8, 9, 10, 11, 12, 13, 14, 15, 8, 9, 10, 11, 12, 13, 14, 15, 9, 11, 13, 15, 9, 11, 13, 15, 9, 11, 13, 15, 9, 11, 13, 15, 10, 11, 14, 15, 10, 11, 14, 15, 10, 11, 14, 15, 10, 11, 14, 15, 11, 15, 11, 15, 11, 15, 11, 15, 11, 15, 11, 15, 11, 15, 11, 15, 12, 13, 14, 15, 12, 13, 14, 15, 12, 13, 14, 15, 12, 13, 14, 15, 13, 15, 13, 15, 13, 15, 13, 15, 13, 15, 13, 15, 13, 15, 13, 15, 14, 15, 14, 15, 14, 15, 14, 15, 14, 15, 14, 15, 14, 15, 14, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15, }; + static const unsigned zerocount4[16] = {4, 3, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 1, 0, }; + + unsigned r = 0; + for (unsigned i = 0; i < n; i += 4) + { + unsigned xnib = ((x >> i) & 0xf); + r |= pack4[(xnib << 4) | (z & 0xf)] << i; + z >>= zerocount4[xnib]; + } + assert (z == 0); + return r; +} + +void +stderror (const char *fmt, ...) +{ + va_list ap; + va_start (ap, fmt); + + vfprintf (stderr, fmt, ap); + + fprintf (stderr, ": "); + perror (0); + + va_end (ap); +} + +unsigned +fact (unsigned n) +{ + unsigned r = 1; + for (unsigned i = n; i >= 2; i --) + r *= i; + return r; +} + +unsigned +choose (unsigned n, unsigned k) +{ + if (n < k) + return 0; + + unsigned r = 1; + for (unsigned i = n; i >= k + 1; i --) + r *= i; + + unsigned d = fact (n - k); + assert (r % d == 0); + return r / d; +} + +int +alpha_to_int (char c) +{ + if ('a' <= c && c <= 'z') + return c - 'a' + 1; + else + { + assert ('A' <= c && c <= 'Z'); + return - (c - 'A' + 1); + } +} diff --git a/lib/lib.h b/lib/lib.h new file mode 100644 index 0000000..3c97fbf --- /dev/null +++ b/lib/lib.h @@ -0,0 +1,166 @@ + +#include +#include +#include +#include + +#include +#include + +#include +#include +#include +#include +#include + +#include +#include + +/* just need to implement ==, < */ +template bool operator != (const T &a, const T &b) { return ! (a == b); } +template bool operator <= (const T &a, const T &b) { return (a < b) || (a == b); } +template bool operator > (const T &a, const T &b) { return ! (a <= b); } +template bool operator >= (const T &a, const T &b) { return ! (a < b); } + +typedef enum copy { COPY, COPY1 } copy; +typedef enum copy2 { COPY2 } copy2; + +typedef unsigned char uchar; +typedef unsigned short ushort; +typedef unsigned int uint; +typedef unsigned long ulong; + +typedef long long int64; +typedef unsigned long long uint64; + +typedef size_t hash_t; + +inline hash_t hash (bool x) { return (hash_t)x; } +inline hash_t hash (char x) { return (hash_t)x; } +inline hash_t hash (unsigned char x) { return (hash_t)x; } +inline hash_t hash (short x) { return (hash_t)x; } +inline hash_t hash (unsigned short x) { return (hash_t)x; } +inline hash_t hash (int x) { return (hash_t)x; } +inline hash_t hash (unsigned x) { return (hash_t)x; } +inline hash_t hash (long x) { return (hash_t)x; } +inline hash_t hash (unsigned long x) { return (hash_t)x; } + +inline hash_t hash (uint64 x) { return (hash_t)((x >> 32) ^ x); } + +template +inline hash_t hash (const T &x) +{ + return x.hash_self (); +} + +inline hash_t +hash_combine (hash_t a, hash_t b) +{ + return (a ^ b) * 131; +} + +/* uint64 */ +static const unsigned uint64_bits = 64; +static const unsigned uint64_bit_mask = 0x3f; + +static const unsigned unsigned_bits = 32; +static const unsigned unsigned_bit_mask = 0x1f; + +inline unsigned uint64_bitcount (uint64 x) { return __builtin_popcountll (x); } +inline unsigned uint64_ffs (uint64 x) { assert (x != 0); return __builtin_ctzll (x) + 1; } + +inline uint64 uint64_bitmask (unsigned i) { assert (i >= 1 && i <= uint64_bits); return ((uint64)1) << (i - 1); } +inline unsigned uint64_fill (unsigned b) { assert (b <= uint64_bits); return ((uint64)1 << b) - 1; } +inline uint64 uint64_bitset (uint64 x, unsigned i) { return x | uint64_bitmask (i); } +inline uint64 uint64_bitclear (uint64 x, unsigned i) { return x & ~uint64_bitmask (i); } +inline uint64 uint64_bittoggle (uint64 x, unsigned i) { return x ^ uint64_bitmask (i); } +inline bool uint64_bittest (uint64 x, unsigned i) { return (bool)(x & uint64_bitmask (i)); } + +/* unsigned */ +inline unsigned unsigned_bitmask (unsigned i) { assert (i >= 1 && i <= unsigned_bits); return ((unsigned)1) << (i - 1); } +inline unsigned unsigned_fill (unsigned b) { assert (b <= unsigned_bits); return ((unsigned)1 << b) - 1; } + +inline unsigned unsigned_discard_bit (unsigned w, unsigned i) +{ + assert (i >= 1 && i <= unsigned_bits); + return (w & ((((unsigned)1) << (i - 1)) - 1)) + | ((w >> i) << (i - 1)); +} + +inline unsigned unsigned_bitset (unsigned w, unsigned i) { return w | unsigned_bitmask (i); } +inline unsigned unsigned_bitclear (unsigned w, unsigned i) { return w &~ unsigned_bitmask (i); } +inline bool unsigned_bittest (unsigned w, unsigned i) { return (bool)(w & unsigned_bitmask (i)); } + +inline unsigned unsigned_bitcount (unsigned w) { return __builtin_popcount (w); } +inline unsigned unsigned_ffs (unsigned w) { assert (w); return __builtin_ctzl (w) + 1; } + +/* pack the bits of z into the zeros of x, where x has n bits. */ +unsigned unsigned_pack (unsigned n, unsigned x, unsigned z); + +inline bool is_odd (int x) { return x & 1; } +inline bool is_odd (unsigned x) { return x & 1; } + +inline bool is_even (int x) { return !is_odd (x); } +inline bool is_even (unsigned x) { return !is_odd (x); } + +inline unsigned unsigned_2pow (unsigned e) { return ((unsigned)1) << e; } + +class unsigned_const_iter +{ + private: + unsigned x; + unsigned b; + + public: + unsigned_const_iter (unsigned x_) : x(x_), b(0) { if (x) b = unsigned_ffs (x); } + unsigned_const_iter (const unsigned_const_iter &i) : x(i.x), b(i.b) { } + ~unsigned_const_iter () { } + + unsigned_const_iter &operator = (const unsigned_const_iter &i) { x = i.x; b = i.b; return *this; } + + unsigned val () const { assert (x); return b; } + operator bool () { return (bool)x; } + void operator ++ () { assert (x); x = unsigned_bitclear (x, b); if (x) b = unsigned_ffs (x); } + void operator ++ (int) { operator ++ (); } +}; + +inline bool between (unsigned a, unsigned x, unsigned b) { return a <= x && x <= b; } + +void stderror (const char *fmt, ...); + +int alpha_to_int (char c); + +#include + +#include +#include +#include +#include +#include +#include + +class bitset; +template class ullmanset; + +unsigned fact (unsigned n); +unsigned choose (unsigned n, unsigned k); + +inline int random_int (int from, int to) +{ + assert (to >= from); + return from + (random () % (to - from + 1)); +} + +#include +#include +#include +#include + +#include +#include +#include +#include +#include +#include +#include +#include diff --git a/lib/map.h b/lib/map.h new file mode 100644 index 0000000..cb3ea78 --- /dev/null +++ b/lib/map.h @@ -0,0 +1,18 @@ + +/* wrapper for stl map */ + +template +class map : public map_wrapper, K, V> +{ + typedef map_wrapper, K, V> base; + + public: + map () { } + map (unsigned dummy_size) : base(dummy_size) { } + map (const map &m) : base(m) { } + map (copy, const map &m) : base(COPY, m) { } + map (reader &r) : base(r) { } + ~map () { } + + map &operator = (const map &m) { base::operator = (m); return *this; } +}; diff --git a/lib/map_wrapper.h b/lib/map_wrapper.h new file mode 100644 index 0000000..386f996 --- /dev/null +++ b/lib/map_wrapper.h @@ -0,0 +1,221 @@ + +/* wrapper for stl maps */ + +template class map_wrapper_iter; +template class map_wrapper_const_iter; + +template +class map_wrapper +{ + private: + friend class map_wrapper_iter; + friend class map_wrapper_const_iter; + + class map_impl : public refcounted + { + public: + M t; + }; + + ptr impl; + + public: + typedef map_wrapper_iter iter; + typedef map_wrapper_const_iter const_iter; + + public: + map_wrapper () : impl(new map_impl) { } + map_wrapper (unsigned dummy_size) : impl(new map_impl) { } + map_wrapper (const map_wrapper &m) : impl(m.impl) { } + map_wrapper (copy, const map_wrapper &m) : impl(new map_impl) { impl->t = M (m.impl->t); } + map_wrapper (reader &r); + ~map_wrapper () { } + + map_wrapper &operator = (const map_wrapper &m) { impl = m.impl; return *this; } + + /* returns the pair associated to the smallest key */ + pair head () const + { + typename M::const_iterator i = impl->t.begin (); + assert (i != impl->t.end ()); + return pair (i->first, i->second); + } + + /* returns the pair associated to the largest key */ + pair tail () const + { + typename M::const_reverse_iterator i = impl->t.rbegin (); + assert (i != impl->t.rend ()); + return pair (i->first, i->second); + } + + maybe remove_with_value (const K &k) + { + typename M::iterator i = impl->t.find (k); + if (i == impl->t.end ()) + return maybe (); + else + { + V v = i->second; + impl->t.erase (i); + return maybe (v); + } + } + + void clear () { impl->t.clear (); } + bool is_empty () const { return impl->t.empty (); } + unsigned card () const { return impl->t.size (); } + void yank (const K &k) { assert (operator % (k)); impl->t.erase (k); } + V yank_with_value (const K &k) + { + typename M::iterator i = impl->t.find (k); + assert (i != impl->t.end ()); + V v = i->second; + impl->t.erase (i); + return v; + } + + void operator -= (const K &k) { impl->t.erase (k); } + + void push (const K &k, const V &v) { assert (!operator % (k)); impl->t.insert (std::pair (k, v)); } + void set (const K &k, const V &v) { operator [] (k) = v; } + + pair find (const K &k) + { + typename M::iterator i = impl->t.find (k); + bool present; + if (i == impl->t.end ()) + { + i = impl->t.insert (std::pair (k, V ())).first; + present = 0; + } + else + present = 1; + return pair (i->second, present); + } + + V *operator ^ (const K &k) + { + typename M::iterator i = impl->t.find (k); + return i == impl->t.end () ? 0 : &i->second; + } + const V *operator ^ (const K &k) const + { + typename M::const_iterator i = impl->t.find (k); + return i == impl->t.end () ? 0 : &i->second; + } + + V &operator [] (const K &k) { return impl->t[k]; } + const V &operator [] (const K &k) const + { + typename M::const_iterator i = impl->t.find (k); + assert (i != impl->t.end ()); + return i->second; + } + const V &operator () (const K &k) const { return operator [] (k); } + const V &operator () (const K &k, const V &d) const + { + typename M::const_iterator i = impl->t.find (k); + if (i == impl->t.end ()) + return d; + else + return i->second; + } + + bool operator % (const K &k) const + { + typename M::const_iterator i = impl->t.find (k); + return i != impl->t.end (); + } + + bool operator == (const map_wrapper &m) const; + + void write_self (writer &w) const; +}; + +template +map_wrapper::map_wrapper (reader &r) + : impl(new map_impl) +{ + unsigned card_ = r.read_unsigned (); + K k; + V v; + for (unsigned i = 0; i < card_; i ++) + { + read (r, k); + read (r, v); + push (k, v); + } +} + +template bool +map_wrapper::operator == (const map_wrapper &m) const +{ + // event bettr: use (ordered) dual iterators + if (card () != m.card ()) + return 0; + + for (const_iter i = *this; i; i ++) + { + // ??? inefficient: use operator ^ + if (! (m % i.key ()) + || m(i.key ()) != i.val ()) + return 0; + } + return 1; +} + +template void +map_wrapper::write_self (writer &w) const +{ + write (w, card ()); + for (const_iter i = *this; i; i ++) + { + write (w, i.key ()); + write (w, i.val ()); + } +} + +template +class map_wrapper_iter +{ + private: + map_wrapper &m; + typename M::iterator i, end; + bool deleted; + + public: + map_wrapper_iter (map_wrapper &m_) : m(m_), i(m_.impl->t.begin ()), end(m_.impl->t.end ()), deleted(0) { } + ~map_wrapper_iter () { } + + void del () + { + assert (!deleted); + typename M::iterator iprev = i ++; + m.impl->t.erase (iprev); + deleted = 1; + } + + const K &key () const { assert (!deleted); return i->first; } + V &val () { assert (!deleted); return i->second; } + operator bool () const { assert (!deleted); return i != end; } + void operator ++ () { if (deleted) deleted = 0; else i ++; } + void operator ++ (int) { operator ++ (); } +}; + +template +class map_wrapper_const_iter +{ + private: + typename M::const_iterator i, end; + + public: + map_wrapper_const_iter (const map_wrapper &m) : i(m.impl->t.begin ()), end(m.impl->t.end ()) { } + ~map_wrapper_const_iter () { } + + const K &key () const { return i->first; } + const V &val () { return i->second; } + operator bool () const { return i != end; } + void operator ++ () { i ++; } + void operator ++ (int) { i ++; } +}; diff --git a/lib/mapcommon.h b/lib/mapcommon.h new file mode 100644 index 0000000..75b7b4e --- /dev/null +++ b/lib/mapcommon.h @@ -0,0 +1,28 @@ + +template map & +mapassign (map &to, unsigned dummy_size, const ullmanmap &from) +{ + assert (dummy_size == from.size ()); + + to = map (); + for (ullmanmap_const_iter i = from; i; i ++) + to.push (i.key (), i.val ()); + return to; +} + +template ullmanmap & +mapassign (ullmanmap &to, unsigned size, const map &from) +{ + to = ullmanmap (size); + for (typename map::const_iter i = from; i; i ++) + to.push (i.key (), i.val ()); + return to; +} + +template map & +mapassign (map &to, unsigned dummy_size, const map &from) +{ + // todo: ?? careful about allocation: this unref's the previous object pointed to by to + to = map (COPY, from); + return to; +} diff --git a/lib/maybe.h b/lib/maybe.h new file mode 100644 index 0000000..27a4afd --- /dev/null +++ b/lib/maybe.h @@ -0,0 +1,58 @@ + +template +class maybe +{ + private: + bool present; + T v; + + public: + maybe () : present(0) { } + maybe (const T &v_) : present(1), v(v_) { } + maybe (const maybe &m) : present(m.present), v(m.v) { } + maybe (reader &r); + ~maybe () { } + + maybe &operator = (const maybe &m) { present = m.present; v = m.v; return *this; } + + bool is_some () const { return present; } + bool is_none () const { return !present; } + T &some () { assert (present); return v; } + + bool operator == (const maybe &m) const + { + if (present != m.present) + return 0; + if (present) + return v == m.v; + } + bool operator != (const maybe &m) const { return !operator == (m); } + + void write_self (writer &w) const; + hash_t hash_self () const; +}; + +template +maybe::maybe (reader &r) +{ + read (r, present); + if (present) + read (r, v); +} + +template void +maybe::write_self (writer &w) const +{ + write (w, present); + if (present) + write (w, v); +} + +template hash_t +maybe::hash_self () const +{ + if (present) + return hash_combine (hash (0xdeadbeef), hash (v)); + else + return hash (0xcafebabe); +} diff --git a/lib/pair.h b/lib/pair.h new file mode 100644 index 0000000..fb83a2f --- /dev/null +++ b/lib/pair.h @@ -0,0 +1,94 @@ + +template +class pair +{ + public: + F first; + S second; + + public: + pair () { } + pair (const pair &p) : first(p.first), second(p.second) { } + /* F, S might be references. */ + pair (F first_, S second_) : first(first_), second(second_) { } + pair (reader &r); + ~pair () { } + + pair &operator = (const pair &p) { first = p.first; second = p.second; return *this; } + + bool operator == (const pair &p) const { return first == p.first && second == p.second; } + bool operator < (const pair &p) const { return (first < p.first + || (first == p.first && second < p.second)); } + + void write_self (writer &w) const; + hash_t hash_self () const { return hash_combine (hash (first), hash (second)); } +}; + +template +pair::pair (reader &r) +{ + read (r, first); + read (r, second); +} + +template void +pair::write_self (writer &w) const +{ + write (w, first); + write (w, second); +} + +template +class triple +{ +public: + F first; + S second; + T third; + + triple () { } + triple (const triple &t) + : first(t.first), second(t.second), third(t.third) + { } + triple (const F &first_, const S &second_, const T &third_) + : first(first_), second(second_), third(third_) + { } + ~triple () { } + + triple &operator = (const triple &t) + { + first = t.first; + second = t.second; + third = t.third; + return *this; + } + + bool operator == (const triple &t) const + { + return first == t.first && second == t.second && third == t.third; + } + bool operator < (const triple &t) const + { + if (first < t.first) + return 1; + else if (first > t.first) + return 0; + + if (second < t.second) + return 1; + else if (second > t.second) + return 0; + + if (third < t.third) + return 1; + else if (third > t.third) + return 0; + } + + hash_t hash_self () const + { + hash_t h = hash (first); + h = hash_combine (h, hash (second)); + return hash_combine (h, hash (third)); + } +}; diff --git a/lib/priority_queue.h b/lib/priority_queue.h new file mode 100644 index 0000000..6b008f7 --- /dev/null +++ b/lib/priority_queue.h @@ -0,0 +1,78 @@ + +template +class priority_queue +{ + private: + class weighted + { + public: + V v; + int pri; + + public: + weighted () { } + weighted (const weighted &w) : v(w.v), pri(w.pri) { } + weighted (const V &v_, int pri_) : v(v_), pri(pri_) { } + ~weighted () { } + + weighted &operator = (const weighted &w) { v = w.v; pri = w.pri; } + + bool operator == (const weighted &w) const { return v == w.v && pri == w.pri; } + bool operator < (const weighted &w) const { return pri > w.pri || (pri == w.pri && v < w.v); } + }; + + map pri; + set s; + + public: + priority_queue () { } + priority_queue (const priority_queue &q) : pri(q.pri), s(q.s) { } + priority_queue (copy, const priority_queue &q) : pri(COPY, q.pri), s(COPY, q.s) { } + ~priority_queue () { } + + priority_queue &operator = (const priority_queue &q) { pri = q.pri; s = q.s; } + + bool is_empty () const { return s.is_empty (); } + bool operator % (const V &v) const { return pri % v; } + void push (const V &v, int p) + { + assert (! (pri % v)); + pri.push (v, p); + s.push (weighted (v, p)); + } + priority_queue &operator -= (const V &v) + { + maybe old_p = pri.remove_with_value (v); + if (old_p.is_some ()) + s.yank (weighted (v, old_p.some ())); + return *this; + } + void yank (const V &v) { assert (pri % v); operator -= (v); } + void insert (const V &v, int p) + { + int *old_p = pri ^ v; + if (old_p) + { + if (*old_p != p) + { + s.yank (weighted (v, *old_p)); + s.push (weighted (v, p)); + *old_p = p; + } + } + else + { + pri.push (v, p); + s.push (weighted (v, p)); + } + } + V pop () + { + weighted w = s.pop (); + pri.yank (w.v); + return w.v; + } + const V &top () const { return s.head ().v; } + + unsigned card () const { return s.card (); } +}; diff --git a/lib/refcount.cpp b/lib/refcount.cpp new file mode 100644 index 0000000..ec54252 --- /dev/null +++ b/lib/refcount.cpp @@ -0,0 +1,25 @@ + +#include + +#ifndef NDEBUG +uint64 allocations = 0; +uint64 deallocations = 0; + +class finalize +{ +public: + finalize (); + ~finalize (); +}; + +finalize::finalize () +{ +} + +finalize::~finalize () +{ + // assert (allocations == deallocations); +} + +static finalize finalizer; +#endif diff --git a/lib/refcount.h b/lib/refcount.h new file mode 100644 index 0000000..f638e63 --- /dev/null +++ b/lib/refcount.h @@ -0,0 +1,84 @@ + +#ifndef NDEBUG +extern uint64 allocations, deallocations; +#endif + +inline void *operator new (size_t size) +{ +#ifndef NDEBUG + allocations ++; +#endif + return malloc (size); +} +inline void *operator new [] (size_t size) +{ +#ifndef NDEBUG + allocations ++; +#endif + return malloc (size); +} + +inline void operator delete (void *p) +{ +#ifndef NDEBUG + deallocations ++; +#endif + free (p); +} +inline void operator delete [] (void *p) +{ +#ifndef NDEBUG + deallocations ++; +#endif + free (p); +} + +class refcounted +{ + private: + template friend class ptr; + + mutable unsigned refcount; + + public: + refcounted () : refcount(0) { } + refcounted (const refcounted &rc); // doesn't exist + ~refcounted () { } + + refcounted &operator = (const refcounted &rc); // doesn't exist +}; + +template +class ptr +{ + private: + template friend class ptr; + + T *p; + + void ref (T *newp) { assert (p == 0); p = newp; if (p) p->refcount ++; } + void unref () { if (p && -- p->refcount == 0) { delete p; } p = 0; } + + public: + ptr () : p(0) { } + ptr (const ptr &r) : p(0) { ref (r.p); } + template ptr (S *p_) : p(0) { ref (p_); } + template ptr (const ptr &r) : p(0) { ref (r.p); } + ~ptr () { unref (); } + + ptr &operator = (const ptr &r) { unref (); ref (r.p); return *this; } + template ptr &operator = (S *p_) { unref (); ref (p_); return *this; } + + template bool operator == (const ptr &r) const { return p == r.p; } + template bool operator != (const ptr &r) const { return p != r.p; } + + template bool operator == (S *p_) const { return p == p_; } + template bool operator != (S *p_) const { return p != p_; } + + bool operator == (int x) const { assert (x == 0); return p == 0; } + bool operator != (int x) const { assert (x == 0); return p != 0; } + + T &operator * () const { assert (p); return *p; } + T *get () const { assert (p); return p; } + T *operator -> () const { assert (p); return p; } +}; diff --git a/lib/set.h b/lib/set.h new file mode 100644 index 0000000..2137655 --- /dev/null +++ b/lib/set.h @@ -0,0 +1,341 @@ + +/* wrap for std::set */ + +template class set_iter; +template class set_const_iter; + +template +class set +{ + private: + friend class set_iter; + friend class set_const_iter; + + class set_impl : public refcounted + { + public: + std::set t; + }; + + ptr impl; + + public: + typedef set_iter iter; + typedef set_const_iter const_iter; + + public: + set () : impl(new set_impl) { } + set (unsigned dummy_size) : impl(new set_impl) { } + set (const set &s) : impl(s.impl) { } + set (copy, const set &s) : impl(new set_impl) { impl->t = std::set (s.impl->t); } + set (reader &r); + ~set () { } + + set &operator = (const set &s) { impl = s.impl; return *this; } + + T pop () + { + typename std::set::const_iterator i = impl->t.begin (); + assert (i != impl->t.end ()); + T tmp = *i; + impl->t.erase (i); + return tmp; + } + + bool is_empty () const { return impl->t.empty (); } + unsigned card () const { return impl->t.size (); } + const T &head () const; + const T &tail () const; + + bool operator == (const set &s) const; + bool operator < (const set &s) const; + bool operator <= (const set &s) const; + + void clear () { impl->t.clear (); } + void push (const T &v) { assert (impl->t.find (v) == impl->t.end ()); impl->t.insert (v); } + bool toggle (const T &v); + void operator += (const T &v) { impl->t.insert (v); } + void operator -= (const T &v) { impl->t.erase (v); } + void yank (const T &v) { assert (operator % (v)); impl->t.erase (v); } + + set &operator |= (const set &s); + set &operator &= (const set &s); + set &operator ^= (const set &s); + + bool operator % (const T &v) const { return impl->t.find (v) != impl->t.end (); } + bool operator () (const T &v) const { return operator % (v); } + + void write_self (writer &w) const; + hash_t hash_self () const; +}; + +template +class set_iter +{ + set &s; + typename std::set::const_iterator i, end; + bool deleted; + + public: + set_iter (set &s_) : s(s_), i(s_.impl->t.begin ()), end(s_.impl->t.end ()), deleted(0) { } + ~set_iter () { } + + void del () + { + assert (!deleted); + typename std::set::const_iterator iprev = i ++; + s.impl->t.erase (iprev); + deleted = 1; + } + + const T &val () const { assert (!deleted); return *i; } + operator bool () const { assert (!deleted); return i != end; } + set_iter &operator ++ () { if (deleted) deleted = 0; else i ++; return *this; } + void operator ++ (int) { operator ++ (); } +}; + +template +class set_const_iter +{ + typename std::set::const_iterator i, end; + + public: + set_const_iter (const set &s) : i(s.impl->t.begin ()), end(s.impl->t.end ()) { } + ~set_const_iter () { } + + const T &val () const { return *i; } + operator bool () const { return i != end; } + set_const_iter &operator ++ () { i ++; return *this; } + void operator ++ (int) { i ++; } +}; + +template +set::set (reader &r) +{ + unsigned n; + read (r, n); + T x; + for (unsigned i = 0; i < n; i ++) + { + read (r, x); + push (x); + } +} + +template const T & +set::head () const +{ + set_const_iter i = *this; + assert (i); + return i.val (); +} + +template const T & +set::tail () const +{ + typename std::set::const_reverse_iterator i = impl->t.rbegin (); + assert (i != impl->t.rend ()); + return *i; +} + +template bool +set::operator == (const set &s) const +{ + typename std::set::const_iterator i = impl->t.begin (), + j = s.impl->t.begin (), + iend = impl->t.end (), + jend = s.impl->t.end (); + + while (i != iend && j != jend && *i == *j) + i ++, j ++; + + return i == iend && j == jend; +} + +template bool +set::operator < (const set &s) const +{ + typename std::set::const_iterator i = impl->t.begin (), + j = s.impl->t.begin (), + iend = impl->t.end (), + jend = s.impl->t.end (); + + while (i != iend && j != jend && *i == *j) + i ++, j ++; + + return (i == iend && j != jend) || (i != iend && j != jend && *i < *j); +} + +template bool +set::operator <= (const set &s) const +{ + typename std::set::const_iterator i = impl->t.begin (), + j = s.impl->t.begin (), + iend = impl->t.end (), + jend = s.impl->t.end (); + + while (i != iend && j != jend && *i == *j) + i ++, j ++; + + return i == iend + || (i != iend && j != jend && *i <= *j); +} + +template bool +set::toggle (const T &v) +{ + typename std::set::const_iterator i = impl->t.lower_bound (v), + end = impl->t.end (); + if (i != end && *i == v) + { + impl->t.erase (i); + return 1; + } + else + { + if (i == impl->t.begin ()) + impl->t.insert (v); + else + { + typename std::set::const_iterator j = --i; + assert (*j < v); + impl->t.insert (j, v); + } + return 0; + } +} + +template set & +set::operator |= (const set &s) +{ + std::set news; + std::set_union (impl->t.begin (), impl->t.end (), + s.impl->t.begin (), s.impl->t.end (), + inserter (news, news.begin ())); + impl->t = news; + return *this; +} + +template set & +set::operator &= (const set &s) +{ + std::set news; + std::set_intersection (impl->t.begin (), impl->t.end (), + s.impl->t.begin (), s.impl->t.end (), + inserter (news, news.begin ())); + impl->t = news; + return *this; +} + +template set & +set::operator ^= (const set &s) +{ +#if 0 + printf ("before:\n"); + printf ("this:"); + for (typename std::set::const_iterator i = impl->t.begin (); i != impl->t.end (); i ++) + printf (" %d", *i); + printf ("\n"); + printf ("s:"); + for (typename std::set::const_iterator i = s.impl->t.begin (); i != s.impl->t.end (); i ++) + printf (" %d", *i); + printf ("\n"); +#endif + +#if 1 + typename std::set::const_iterator i = impl->t.begin (), + iend = impl->t.end (), + j = s.impl->t.begin (), + jend = s.impl->t.end (); + + while (i != iend && j != jend && *i == *j) + { + impl->t.erase (i); + i = impl->t.begin (); + j ++; + } + + if (i == iend) + impl->t.insert (j, jend); + else + { + if (j != jend && *j < *i) + { + i = impl->t.insert (*j).first; + j ++; + } + + while (j != jend) + { + assert (*i < *j); + + typename std::set::const_iterator iprev = i ++; + if (i == iend) + { + while (j != jend) + { + iprev = impl->t.insert (iprev, *j); + j ++; + } + break; + } + else if (*i == *j) + { + impl->t.erase (i); + i = iprev; + j ++; + } + else + { + while (j != jend && *j < *i) + { + iprev = impl->t.insert (iprev, *j); + j ++; + } + if (j != jend && *j == *i) + { + impl->t.erase (i); + i = iprev; + j ++; + } + } + } + } +#endif + +#if 0 + std::set news; + std::set_symmetric_difference (impl->t.begin (), impl->t.end (), + s.impl->t.begin (), s.impl->t.end (), + inserter (news, news.begin ())); + impl->t = news; +#endif + +#if 0 + printf ("after:\n"); + printf ("this:"); + for (typename std::set::const_iterator i = impl->t.begin (); i != impl->t.end (); i ++) + printf (" %d", *i); + printf ("\n"); +#endif + + return *this; +} + +template void +set::write_self (writer &w) const +{ + write (w, card ()); + for (const_iter i = *this; i; i ++) + write (w, i.val ()); +} + +template hash_t +set::hash_self () const +{ + hash_t h = hash (card ()); + unsigned j = 0; + for (const_iter i = *this; i && j < 10; i ++, j ++) + h = hash_combine (h, hash (i.val ())); + return h; +} diff --git a/lib/setcommon.cpp b/lib/setcommon.cpp new file mode 100644 index 0000000..ea75f39 --- /dev/null +++ b/lib/setcommon.cpp @@ -0,0 +1,60 @@ + +#include + +unsigned unsigned_set (const ullmanset<1> &s) +{ + assert (s.size () <= unsigned_bits); + + unsigned v = 0; + for (ullmanset_const_iter<1> i = s; i; i ++) + v = unsigned_bitset (v, i.val ()); + return v; +} + +unsigned +unsigned_set (const bitset &s) +{ + assert (s.size () <= unsigned_bits); + + unsigned v = 0; + for (bitset_const_iter i = s; i; i ++) + v = unsigned_bitset (v, i.val ()); + return v; +} + +unsigned +unsigned_set (const set &s) +{ + unsigned v = 0; + for (set_const_iter i = s; i; i ++) + v = unsigned_bitset (v, i.val ()); + return v; +} + +/* bitset */ + +bitset::bitset (const ullmanset<1> &t) + : n(0) +{ + *this = bitset (t.size ()); + for (ullmanset_const_iter<1> i = t; i; i ++) + push (i.val ()); +} + +bitset & +bitset::operator = (const ullmanset<1> &t) +{ + *this = bitset (t.size ()); + for (ullmanset_const_iter<1> i = t; i; i ++) + push (i.val ()); + return *this; +} + +smallbitset::smallbitset (const ullmanset<1> &t) + : n(t.size ()), x(0) +{ + assert (n <= 58); + + for (ullmanset_const_iter<1> i = t; i; i ++) + push (i.val ()); +} diff --git a/lib/setcommon.h b/lib/setcommon.h new file mode 100644 index 0000000..8562fca --- /dev/null +++ b/lib/setcommon.h @@ -0,0 +1,55 @@ + +extern unsigned unsigned_set (const ullmanset<1> &s); +extern unsigned unsigned_set (const bitset &s); +extern unsigned unsigned_set (const set &s); + +smallbitset::smallbitset (const bitset &t) + : n(t.size ()), + x(0) +{ + assert (t.size () <= max_size); + if (n) + { + assert (t.v.size () == 1); + x = t.v[0]; + } + assert ((x >> n) == 0); +} + +template +ullmanset::ullmanset (const bitset &t) + : d(0) +{ + *this = ullmanset (t.size ()); + for (bitset_const_iter i = t; i; i ++) + push (i.val ()); +} + +template ullmanset & +ullmanset::operator = (const bitset &t) +{ + *this = ullmanset (t.size ()); + for (bitset_const_iter i = t; i; i ++) + push (i.val ()); + return *this; +} + +template set & +setassign (set &to, unsigned dummy_size, const ullmanset &from) +{ + assert (dummy_size == from.size ()); + + to = set (); + for (ullmanset_const_iter i = from; i; i ++) + to.push (i.val ()); + return to; +} + +template ullmanset & +setassign (ullmanset &to, unsigned size, const set &from) +{ + to = ullmanset (size); + for (set_const_iter i = from; i; i ++) + to.push (i.val ()); + return to; +} diff --git a/lib/show.h b/lib/show.h new file mode 100644 index 0000000..cb9b3cc --- /dev/null +++ b/lib/show.h @@ -0,0 +1,16 @@ + +inline void newline () { printf ("\n"); } +inline void comment () { printf ("%% "); } +inline void show (int i) { printf ("%d", i); } +inline void show (unsigned i) { printf ("%d", i); } +inline void display (int i) { printf ("%d\n", i); } +inline void display (unsigned i) { printf ("%d\n", i); } + +template inline void show (const T &e) { e.show_self (); } +template inline void display (const T &e) { e.display_self (); } + +template inline void display (const char *h, const T &e) +{ + printf ("%s", h); + e.display_self (); +} diff --git a/lib/smallbitset.cpp b/lib/smallbitset.cpp new file mode 100644 index 0000000..05973b9 --- /dev/null +++ b/lib/smallbitset.cpp @@ -0,0 +1,44 @@ + +#include + +smallbitset::smallbitset (reader &r) +{ + uint64 t; + read (r, t); + n = t >> 58; + x = t; + + assert (n <= max_size); +} + +#if 0 +smallbitset::smallbitset (const unsignedset &t) + : n(t.size ()), + x(0) +{ + assert (n <= max_size); + for (unsignedset_const_iter i = t; i; i ++) + push (i.val ()); +} +#endif + +void +smallbitset::write_self (writer &w) const +{ + write (w, x | (((uint64)n) << 58)); +} + +void +smallbitset::show_self () const +{ + printf ("%d:", n); + for (unsigned i = n; i >= 1; i --) + printf ("%c", operator % (i) ? '1' : '0'); +} + +void +smallbitset::display_self () const +{ + show_self (); + newline (); +} diff --git a/lib/smallbitset.h b/lib/smallbitset.h new file mode 100644 index 0000000..a350a29 --- /dev/null +++ b/lib/smallbitset.h @@ -0,0 +1,147 @@ + +class smallbitset_iter; +class smallbitset_const_iter; + +class smallbitset +{ + private: + friend class smallbitset_iter; + friend class smallbitset_const_iter; + + unsigned n : 6; + uint64 x : 58; + + public: + static const unsigned max_size = 58; + + typedef smallbitset_iter iter; + typedef smallbitset_const_iter const_iter; + + public: + smallbitset () : n(0), x(0) { } + explicit smallbitset (unsigned n_) : n(n_), x(0) { assert (n_ <= max_size); } + explicit smallbitset (reader &r); + smallbitset (unsigned n_, uint64 x_) + : n(n_), x(x_ & uint64_fill (n_)) + { + assert (n <= max_size); + assert ((x >> n) == 0); + } + + smallbitset (const smallbitset &bs) : n(bs.n), x(bs.x) { } + explicit smallbitset (const ullmanset<1> &t); + // explicit smallbitset (const unsignedset &t); + explicit inline smallbitset (const bitset &t); + + ~smallbitset () { } + + smallbitset &operator = (const smallbitset &bs) { n = bs.n; x = bs.x; return *this; } + smallbitset &operator = (const bitset &t) { *this = smallbitset (t); return *this; } + // smallbitset &operator = (const unsignedset &t) { *this = smallbitset (t); return *this; } + smallbitset &operator = (const ullmanset<1> &t) { *this = smallbitset (t); return *this; } + + bool is_empty () const { assert ((x >> n) == 0); return x == 0; } + unsigned card () const { assert ((x >> n) == 0); return uint64_bitcount (x); } + unsigned size () const { return n; } + unsigned head () const { assert (x); return uint64_ffs (x); } + unsigned pop () + { + assert (x); + + unsigned i = uint64_ffs (x); + x = uint64_bitclear (x, i); + return i; + } + + bool subset (const smallbitset &bs) const + { + assert (n == bs.n); + assert ((x >> n) == 0); + assert ((bs.x >> n) == 0); + return (x & bs.x) == x; + } + + void push (unsigned i) { assert (! (*this % i)); operator += (i); } + void yank (unsigned i) { assert (*this % i); operator -= (i); } + void operator += (unsigned i) { assert (i <= n); x = uint64_bitset (x, i); } + void operator -= (unsigned i) { assert (i <= n); x = uint64_bitclear (x, i); } + + void toggle (unsigned i) { assert (i <= n); x = uint64_bittoggle (x, i); } + void toggle () { x ^= (((uint64)1) << n) - 1; } + + smallbitset &operator |= (const smallbitset &bs) { assert (n == bs.n); x |= bs.x; return *this; } + smallbitset &operator &= (const smallbitset &bs) { assert (n == bs.n); x &= bs.x; return *this; } + smallbitset &operator ^= (const smallbitset &bs) { assert (n == bs.n); x ^= bs.x; return *this; } + + bool operator == (const smallbitset &bs) const { return n == bs.n && x == bs.x; } + bool operator != (const smallbitset &bs) const { return !operator == (bs); } + + inline bool operator % (unsigned i) const { return uint64_bittest (x, i); } + inline bool operator () (unsigned i) const { return operator % (i); } + + void show_self () const; + void display_self () const; + + void write_self (writer &w) const; + hash_t hash_self () const { assert ((x >> n) == 0); return hash_combine (hash (n), hash (x)); } +}; + +class smallbitset_const_iter +{ + uint64 x; + unsigned b; + + public: + smallbitset_const_iter (const smallbitset &bs) : x(bs.x), b(0) { if (x) b = uint64_ffs (x); } + smallbitset_const_iter (const smallbitset_const_iter &i) : x(i.x), b(i.b) { } + ~smallbitset_const_iter () { } + + smallbitset_const_iter &operator = (const smallbitset_const_iter &i) { x = i.x; b = i.b; return *this; } + + unsigned val () const { return b; } + operator bool () const { return (bool)x; } + void operator ++ () { assert (x); x = uint64_bitclear (x, b); if (x) b = uint64_ffs (x); } + void operator ++ (int) { operator ++ (); } +}; + +class smallbitset_iter +{ + smallbitset *bs; + uint64 x; + unsigned b; + bool deleted; + + public: + smallbitset_iter (smallbitset &bs_) + : bs(&bs_), x(bs_.x), b(0), deleted(0) + { + if (x) + b = uint64_ffs (x); + } + smallbitset_iter (const smallbitset_iter &i) + : bs(i.bs), x(i.x), b(i.b), deleted(i.deleted) { } + ~smallbitset_iter () { } + + smallbitset_iter &operator = (const smallbitset_iter &i) + { + bs = i.bs; + x = i.x; + b = i.b; + deleted = i.deleted; + return *this; + } + + void del () { assert (!deleted); (*bs) -= b; deleted = 1; } + unsigned val () const { assert (!deleted); return b; } + operator bool () const { assert (!deleted); return (bool)x; } + void operator ++ () + { + assert (x); + + x = uint64_bitclear (x, b); + if (x) + b = uint64_ffs (x); + deleted = 0; + } + void operator ++ (int) { operator ++ (); } +}; diff --git a/lib/ullmanmap.h b/lib/ullmanmap.h new file mode 100644 index 0000000..1f85b60 --- /dev/null +++ b/lib/ullmanmap.h @@ -0,0 +1,128 @@ + +template class ullmanmap_iter; +template class ullmanmap_const_iter; + +template +class ullmanmap +{ + private: + friend class ullmanmap_iter; + friend class ullmanmap_const_iter; + + ullmanset present; + basedvector values; + + public: + typedef ullmanmap_iter iter; + typedef ullmanmap_const_iter const_iter; + + public: + ullmanmap () { } + ullmanmap (unsigned size) : present(size), values(size) { } + ullmanmap (unsigned size, const map &m); // common + ullmanmap (const ullmanmap &m) : present(m.present), values(m.values) { } + ullmanmap (copy, const ullmanmap &m) : present(COPY, m.present), values(COPY, m.values) { } + ullmanmap (reader &r); + ~ullmanmap () { } + + ullmanmap &operator = (const ullmanmap &m) { present = m.present; values = m.values; return *this; } + ullmanmap &operator = (const map &m); // common + + unsigned size () const { return present.size (); } + + pair head (); + void clear () { present.clear (); } + unsigned card () { return present.card (); } + void operator -= (unsigned k) { present -= k; } + + void push (unsigned k, const V &v) { present.push (k); values[k] = v; } + void set (unsigned k, const V &v) { present += k; values[k] = v; } + + V &operator [] (unsigned k) { if (! (present % k)) { present.push (k); values[k] = V (); } return values[k]; } + const V &operator [] (unsigned k) const { assert (present % k); return values[k]; } + const V &operator () (unsigned k) const { assert (present % k); return operator [] (k); } + const V &operator () (unsigned k, const V &d) const { if (present % k) return values[k]; else return d; } + + pair find (unsigned k) + { + bool p = present % k; + return pair (operator [] (k), p); + } + + bool operator % (unsigned k) const { return present % k; } + + unsigned nth (unsigned p) const { return present.nth (p); } + unsigned position (unsigned k) const { return present.position (k); } + + void write_self (writer &w) const; +}; + +template +ullmanmap::ullmanmap (unsigned size, const map &m) + : present(size), values(size) +{ + for (typename map::const_iter i = m; i; i ++) + push (i.key (), i.val ()); +} + +template +ullmanmap::ullmanmap (reader &r) + : present(r), + values(r) +{ +} + +template ullmanmap & +ullmanmap::operator = (const map &m) +{ + /* assume the ullman map is already allocated */ + clear (); + for (typename map::const_iter i = m; i; i ++) + push (i.key (), i.val ()); + return *this; +} + +template void +ullmanmap::write_self (writer &w) const +{ + write (w, present); + write (w, values); +} + +template +class ullmanmap_iter +{ + private: + ullmanset_iter i; + basedvector &values; + + public: + ullmanmap_iter (ullmanmap &m) : i(m.present), values(m.values) { } + ~ullmanmap_iter () { } + + void del () { i.del (); } + unsigned key () const { return i.val (); } + V &val () { return values[i.val ()]; } + const V &val () const { return values[i.val ()]; } + operator bool () const { return (bool)i; } + void operator ++ () { i ++; } + void operator ++ (int) { i ++; } +}; + +template +class ullmanmap_const_iter +{ + private: + ullmanset_const_iter i; + const basedvector &values; + + public: + ullmanmap_const_iter (const ullmanmap &m) : i(m.present), values(m.values) { } + ~ullmanmap_const_iter () { } + + unsigned key () const { return i.val (); } + const V &val () const { return values[i.val ()]; } + operator bool () const { return (bool)i; } + void operator ++ () { i ++; } + void operator ++ (int) { i ++; } +}; diff --git a/lib/ullmanset.h b/lib/ullmanset.h new file mode 100644 index 0000000..658fc33 --- /dev/null +++ b/lib/ullmanset.h @@ -0,0 +1,352 @@ + +template class ullmanset_iter; +template class ullmanset_const_iter; + +template +class ullmanset +{ + private: + friend class ullmanset_iter; + friend class ullmanset_const_iter; + + class keypos + { + public: + unsigned key; + unsigned pos; + }; + + class data + { + public: + unsigned refcount; + unsigned size; + unsigned n; + keypos kp[1]; + }; + + data *d; + + void ref (data *newd) { assert (!d); d = newd; if (d) d->refcount ++; } + void unref (); + + inline void delete_at_pos (unsigned p); + + public: + typedef ullmanset_iter iter; + typedef ullmanset_const_iter const_iter; + + public: + ullmanset () : d(0) { } + ullmanset (unsigned size); + ullmanset (const ullmanset &s) : d(0) { ref (s.d); } + ullmanset (copy, const ullmanset &s); + // ullmanset (const unsignedset &t); + ullmanset (const bitset &t); + ullmanset (reader &r); + ~ullmanset () { unref (); } + + ullmanset &operator = (const ullmanset &s) { unref (); ref (s.d); return *this; } + // ullmanset &operator = (const unsignedset &t); + ullmanset &operator = (const bitset &t); + + unsigned size () const { return d ? d->size : 0; } + + bool is_empty () const { assert (d); return d->n == 0; } + unsigned card () const { assert (d); return d->n; } + unsigned head () const { assert (d); assert (d->n > 0); return d->kp[0].key; } + + bool operator == (const ullmanset &s); + bool operator != (const ullmanset &s) { return !operator == (s); } + + void restore (unsigned old_card) + { + assert (d); + assert (d->n >= old_card); + d->n = old_card; + } + + void clear () { if (d) { d->n = 0; } } + + inline void push (unsigned k); + inline void operator += (unsigned k); // ??? should these be inline? + inline void operator -= (unsigned k); + + void yank (unsigned k) { assert (operator % (k)); operator -= (k); } + + void toggle (unsigned k) + { + if (operator % (k)) + operator -= (k); + else + operator += (k); + } + + ullmanset &operator |= (const ullmanset &s); + ullmanset &operator &= (const ullmanset &s); + ullmanset &operator ^= (const ullmanset &s); + + bool operator % (unsigned k) const + { + assert (d); + assert ((k - B) >= 0); + assert ((k - B) < d->size); + unsigned p = d->kp[k - B].pos; + return p < d->n && d->kp[p].key == k; + } + bool operator () (unsigned k) const { return operator % (k); } + + // always 0-based + unsigned nth (unsigned p) const { assert (d); assert (p < d->n); return d->kp[p].key; } + + unsigned position (unsigned k) const { assert (operator % (k)); return d->kp[k - B].pos; } + + void write_self (writer &w) const; +}; + +template void +ullmanset::unref () +{ + if (d && --d->refcount == 0) + { + delete [] (char *)d; + d = 0; + } +} + +template void +ullmanset::delete_at_pos (unsigned p) +{ + assert (d); + assert (p < d->n); + unsigned n = --d->n; + if (p != n) + { + unsigned ell = d->kp[n].key; + d->kp[ell - B].pos = p; + d->kp[p].key = ell; + } +} + +template +ullmanset::ullmanset (unsigned size) + : d(0) +{ + data *newd = (data *)new char[sizeof (data) + + sizeof (keypos) * size + - sizeof (keypos)]; + newd->refcount = 0; + newd->size = size; + newd->n = 0; + ref (newd); +} + +template +ullmanset::ullmanset (copy, const ullmanset &s) + : d(0) +{ + if (s.d) + { + unsigned bytes = (sizeof (data) + + sizeof (keypos) * s.d->size + - sizeof (keypos)); + data *newd = (data *)new char[bytes]; + memcpy (newd, s.d, bytes); + newd->refcount = 0; + ref (newd); + } +} + +template +ullmanset::ullmanset (reader &r) + : d(0) +{ + unsigned size_ = r.read_unsigned (); + if (size_ > 0) + { + data *newd = (data *)new char[sizeof (data) + sizeof (keypos) * (size_ - 1)]; + newd->refcount = 0; + newd->size = size_; + newd->n = 0; + ref (newd); + } + + unsigned card_ = r.read_unsigned (); + for (unsigned i = 0; i < card_; i ++) + push (r.read_unsigned ()); +} + +template bool +ullmanset::operator == (const ullmanset &s) +{ + assert (d); + assert (s.d); + if (d->n != s.d->n) + return 0; + for (iter i = *this; i; i ++) + { + if (!s(i.val ())) + return 0; + } + return 1; +} + +template void +ullmanset::push (unsigned k) +{ + assert (d); + assert (!operator % (k)); + unsigned p = d->n ++; + d->kp[p].key = k; + d->kp[k - B].pos = p; +} + +template void +ullmanset::operator += (unsigned k) +{ + assert (d); + assert ((k - B) >= 0); + assert ((k - B) < d->size); + if (!operator % (k)) + { + unsigned p = d->n ++; + d->kp[p].key = k; + d->kp[k - B].pos = p; + } +} + +template void +ullmanset::operator -= (unsigned k) +{ + assert (d); + assert ((k - B) >= 0); + assert ((k - B) < d->size); + if (operator % (k)) + { + unsigned p = d->kp[k - B].pos; + delete_at_pos (p); + } +} + +template ullmanset & +ullmanset::operator |= (const ullmanset &s) +{ + for (iter i = s; i; i ++) + operator += (i.val ()); +} + +template ullmanset & +ullmanset::operator &= (const ullmanset &s) +{ + for (iter i = *this; i; i ++) + { + unsigned k = i.val (); + if (!s(k)) + i.del (); + } +} + +template ullmanset & +ullmanset::operator ^= (const ullmanset &s) +{ + for (const_iter i = s; i; i ++) + { + int k = i.val (); + if (operator % (k)) + operator -= (k); + else + push (k); + } + return *this; +} + + +template void +ullmanset::write_self (writer &w) const +{ + write (w, size ()); + write (w, card ()); + for (const_iter i = *this; i; i ++) + write (w, i.val ()); +} + +template +class ullmanset_iter +{ + private: + ullmanset &s; + unsigned i; + bool deleted; + + public: + ullmanset_iter (ullmanset &s_) : s(s_), i(0), deleted(0) { assert (s_.d); } + ~ullmanset_iter () { } + + void del () { assert (!deleted); assert (i < s.d->n); s.delete_at_pos (i); } + unsigned val () const { assert (!deleted); assert (i < s.d->n); return s.d->kp[i].key; } + unsigned pos () const { assert (!deleted); assert (i < s.d->n); return i; } + operator bool () const { assert (!deleted); return i < s.d->n; } + void operator ++ () { if (deleted) deleted = 0; else i ++; } + void operator ++ (int) { operator ++ (); } +}; + +template +class ullmanset_const_iter +{ + private: + const ullmanset &s; + unsigned i; + + public: + ullmanset_const_iter (const ullmanset &s_) : s(s_), i(0) { assert (s_.d); } + ~ullmanset_const_iter () { } + + unsigned val () const { assert (i < s.d->n); return s.d->kp[i].key; } + unsigned pos () const { assert (i < s.d->n); return i; } + operator bool () const { return i < s.d->n; } + void operator ++ () { i ++; } + void operator ++ (int) { i ++; } +}; + +/* interoperating with other set types */ +template +set &operator |= (set &s, const ullmanset &t) +{ + for (ullmanset_const_iter i = t; i; i ++) + s += i.val (); + return s; +} + +template +ullmanset &operator |= (ullmanset &s, const set &t) +{ + for (set_const_iter i = t; i; i ++) + s += i.val (); + return s; +} + +template +ullmanset &operator &= (ullmanset &s, const set &t) +{ + for (ullmanset_const_iter i = s; i; i ++) + { + int k = i.val (); + if (!t(k)) + i.del (); + } + return s; +} + +template +ullmanset &operator ^= (ullmanset &s, const set &t) +{ + for (set_const_iter i = t; i; i ++) + { + int k = i.val (); + if (s % k) + s -= (k); + else + s.push (k); + } + return s; +} diff --git a/lib/unionfind.h b/lib/unionfind.h new file mode 100644 index 0000000..d5b1eae --- /dev/null +++ b/lib/unionfind.h @@ -0,0 +1,83 @@ + +template +class unionfind +{ + unsigned n_sets; + basedvector parent; + + public: + unionfind (unsigned size); + unionfind (const unionfind &u) : n_sets(u.n_sets), parent(u.parent) { } + unionfind (copy, const unionfind &u) : n_sets(u.n_sets), parent(COPY, u.parent) { } + unionfind (reader &r); + ~unionfind () { } + + unsigned num_sets () const { return n_sets; } + void clear (); + + void join (unsigned x, unsigned y); + unsigned find (unsigned x); + + void write_self (writer &w) const; +}; + +template +unionfind::unionfind (unsigned size) + : n_sets(size), + parent(size) +{ + for (unsigned i = 0; i < size; i ++) + parent[i + B] = i + B; +} + +template +unionfind::unionfind (reader &r) +{ + read (r, n_sets); + read (r, parent); +} + +template void +unionfind::clear () +{ + unsigned size = parent.size (); + n_sets = size; + for (unsigned i = 0; i < size; i ++) + parent[i + B] = i + B; +} + +template void +unionfind::join (unsigned x, unsigned y) +{ + unsigned xp = find (x), + yp = find (y); + if (xp != yp) + { + n_sets --; + parent[yp] = xp; + } +} + +template unsigned +unionfind::find (unsigned x) +{ + unsigned p = parent[x]; + while (parent[p] != p) + p = parent[p]; + + while (x != p) + { + unsigned xp = parent[x]; + parent[x] = p; + x = xp; + } + + return p; +} + +template void +unionfind::write_self (writer &w) const +{ + write (w, n_sets); + write (w, parent); +} diff --git a/lib/vector.h b/lib/vector.h new file mode 100644 index 0000000..52b1f15 --- /dev/null +++ b/lib/vector.h @@ -0,0 +1,386 @@ + +template +class vector +{ +protected: + class data + { + public: + unsigned refcount; + unsigned n; + unsigned c; + T p[1]; + }; + + data *d; + + static data *alloc (unsigned n_, unsigned c_, unsigned initn, T *init); + + void unref (); + void ref (data *newd) { assert (d == 0); d = newd; if (d) d->refcount ++; } + + T &at (unsigned i) { return operator [] (i); } + const T &at (unsigned i) const { return operator [] (i); } + +public: + vector () : d(0) { } + explicit vector (unsigned n_); + vector (const vector &v) : d(0) { ref (v.d); } + vector (const vector &v, const vector &u); + vector (copy, const vector &v); + vector (copy2, const vector &v); + vector (unsigned n_, T *p_); + vector (unsigned n_, const vector &v_); + explicit vector (reader &r); + ~vector () { unref (); } + + vector &operator = (const vector &v) { unref (); ref (v.d); return *this; } + + bool operator < (const vector &v) const; + bool operator == (const vector &v) const; + + bool operator % (unsigned i) { return d && i < d->n; } + + T &operator [] (unsigned i) { assert (d); assert (i < d->n); return d->p[i]; } + const T &operator [] (unsigned i) const { assert (d); assert (i < d->n); return d->p[i]; } + + const T &operator () (unsigned i) const { return operator [] (i); } + + /* ??? break resize into grow_capacity/resize, and specialize this + to in-place ctor from v */ + void append (const T &v) + { + if (!d) + reserve (4); + else if (d->n == d->c) + reserve (d->c * 2); + + assert (d && d->n < d->c); + + new (&d->p[d->n ++]) T (v); + } + + const T &top () const + { + unsigned n = size (); + assert (n > 0); + return at (n - 1); + } + + T pop (); + + unsigned capacity () const { return d ? d->c : 0; } + unsigned size () const { return d ? d->n : 0; } + void resize (unsigned new_size); + void reserve (unsigned c); + + void sort () { assert (d); sort (0, d->n); } + void sort (unsigned from, unsigned len); + template void sort (unsigned from, unsigned len, C comp); + + unsigned lower_bound (const T &v) const; + unsigned upper_bound (const T &v) const; + + void write_self (writer &w) const; + hash_t hash_self () const; +}; + +template typename vector::data * +vector::alloc (unsigned n_, unsigned c_, unsigned initn, T *init) +{ + if (c_ > 0) + { + data *d = (data *)new char[sizeof (data) + sizeof (T) * (c_ - 1)]; + + d->refcount = 1; + d->c = c_; + d->n = n_; + + if (initn > n_) + initn = n_; + + for (unsigned i = 0; i < initn; i ++) + new (&d->p[i]) T (init[i]); + for (unsigned i = initn; i < n_; i ++) + new (&d->p[i]) T (); + + return d; + } + else + return 0; +} + +template void +vector::unref () +{ + if (d && -- d->refcount == 0) + { + for (unsigned i = 0; i < d->n; i ++) + d->p[i].~T (); + delete [] (char *)d; + } + d = 0; +} + +template +vector::vector (const vector &v, const vector &u) + : d(0) +{ + if (v.d) + { + unsigned vn = v.d->n, + un = u.size (); + d = alloc (vn, vn + un, v.d->n, v.d->p); + + d->n = vn + un; + for (unsigned i = 0; i < un; i ++) + new (&d->p[vn + i]) T (u[i]); + } + else + { + if (u.d) + d = alloc (u.d->n, u.d->n, u.d->n, u.d->p); + } +} + +template +vector::vector (copy, const vector &v) + : d(0) +{ + if (v.d) + d = alloc (v.d->n, v.d->n, v.d->n, v.d->p); +} + +template +vector::vector (copy2, const vector &v) + : d(0) +{ + if (v.d && v.d->n > 0) + { + unsigned n = v.d->n; + d = (data *)new char[sizeof (data) + sizeof (T) * (n - 1)]; + + d->refcount = 1; + d->c = n; + d->n = n; + + for (unsigned i = 0; i < n; i ++) + new (&d->p[i]) T (COPY1, v.d->p[i]); + } +} + +template +vector::vector (unsigned n_) + : d(0) +{ + d = alloc (n_, n_, 0, 0); +} + +template +vector::vector (reader &r) + : d(0) +{ + unsigned n_; + read (r, n_); + if (n_ > 0) + { + d = (data *)new char[sizeof (data) + sizeof (T) * (n_ - 1)]; + d->refcount = 1; + d->c = n_; + d->n = n_; + + for (unsigned i = 0; i < n_; i ++) + ctor_read (r, &d->p[i]); + } +} + +template +vector::vector (unsigned n_, T *p_) + : d(0) +{ + d = alloc (n_, n_, n_, p_); +} + +template +vector::vector (unsigned n_, const vector &v) + : d(0) +{ + if (v.d) + d = alloc (n_, n_, v.d->n, v.d->p); + else + d = alloc (n_, n_, 0, 0); +} + +template bool +vector::operator < (const vector &v) const +{ + unsigned n = size (), + vn = v.size (); + if (n < vn) + return 1; + else if (n > vn) + return 0; + + for (unsigned i = 0; i < n; i ++) + { + if (at (i) < v[i]) + return 1; + else if (at (i) > v[i]) + return 0; + } + + return 0; +} + +template bool +vector::operator == (const vector &v) const +{ + unsigned n = size (); + if (n != v.size ()) + return 0; + for (unsigned i = 0; i < n; i ++) + { + if (at (i) != v[i]) + return 0; + } + + return 1; +} + +template T +vector::pop () +{ + unsigned n = size (); + assert (n > 0); + T tmp = at (n - 1); + resize (n - 1); + return tmp; +} + +template void +vector::reserve (unsigned newc) +{ + if (newc <= capacity ()) + return; + + data *newd; + if (d) + newd = alloc (d->n, newc, d->n, d->p); + else + newd = alloc (0, newc, 0, 0); + unref (); + d = newd; +} + +template void +vector::resize (unsigned new_size) +{ + unsigned n = size (); + if (new_size == n) + return; + + reserve (new_size); + + assert (d); + assert (new_size <= capacity ()); + + if (new_size < n) + { + for (unsigned i = new_size; i < n; i ++) + d->p[i].~T (); + } + else + { + for (unsigned i = n; i < new_size; i ++) + new (&d->p[i]) T (); + } + d->n = new_size; +} + +template void +vector::sort (unsigned from, unsigned len) +{ + assert (d); + assert (from < d->n); + assert (from + len <= d->n); + std::sort (&d->p[from], &d->p[from + len]); +} + +template template void +vector::sort (unsigned from, unsigned len, C comp) +{ + assert (d); + assert (from < d->n); + assert (from + len <= d->n); + std::sort (&d->p[from], &d->p[from + len], comp); +} + +template void +vector::write_self (writer &w) const +{ + if (d) + { + write (w, d->n); + for (unsigned i = 0; i < d->n; i ++) + write (w, d->p[i]); + } + else + { + unsigned n = 0; + write (w, n); + } +} + +template hash_t +vector::hash_self () const +{ + unsigned n = size (); + hash_t h = hash (n); + for (unsigned i = 0; i < n; i ++) + h = hash_combine (h, hash (d->p[i])); + return h; +} + +template unsigned +vector::lower_bound (const T &v) const +{ + T *r = std::lower_bound (&d->p[0], &d->p[d->n], v); + return r - &d->p[0]; +} + +template unsigned +vector::upper_bound (const T &v) const +{ + T *r = std::upper_bound (&d->p[0], &d->p[d->n], v); + return r - &d->p[0]; +} + +template +class basedvector : public vector +{ +public: + basedvector () { } + explicit basedvector (unsigned n_) : vector(n_) { } + explicit basedvector (vector &v_) : vector(v_) { } + basedvector (unsigned n_, T *p_) : vector(n_, p_) { } + basedvector (unsigned n_, const vector &v_) : vector(n_, v_) { } + basedvector (copy, const vector &v_) : vector(COPY, v_) { } + basedvector (copy2, const vector &v_) : vector(COPY2, v_) { } + basedvector (const vector &v_, const vector &u_) : vector(v_, u_) { } + explicit basedvector (reader &r) : vector(r) { } + ~basedvector () { } + + vector &operator = (const vector &v) { vector::operator = (v); } + + bool operator % (unsigned i) { return vector::operator % (i - B); } + T &operator [] (unsigned i) { return vector::operator [] (i - B); } + const T &operator [] (unsigned i) const { return vector::operator [] (i - B); } + const T &operator () (unsigned i) const { return vector::operator () (i - B); } + + void sort () { vector::sort (); } + void sort (unsigned from, unsigned len) { vector::sort (from - B, len); } + template void sort (unsigned from, unsigned len, C comp) { vector::sort (from - B, len, comp); } + + unsigned lower_bound (const T &v) const { return vector::lower_bound (v) + B; } + unsigned upper_bound (const T &v) const { return vector::upper_bound (v) + B; } +}; diff --git a/main.cpp b/main.cpp new file mode 100644 index 0000000..c94023c --- /dev/null +++ b/main.cpp @@ -0,0 +1,8 @@ + +#include + +int +main () +{ + +} diff --git a/mtlinks/hyperbolic_data_04a b/mtlinks/hyperbolic_data_04a new file mode 100644 index 0000000..272a1ec --- /dev/null +++ b/mtlinks/hyperbolic_data_04a @@ -0,0 +1 @@ +dadbcda diff --git a/mtlinks/hyperbolic_data_05a b/mtlinks/hyperbolic_data_05a new file mode 100644 index 0000000..d30fd21 --- /dev/null +++ b/mtlinks/hyperbolic_data_05a @@ -0,0 +1,3 @@ +eaebdeac +eaecdeab +ebbccdaeb diff --git a/mtlinks/hyperbolic_data_06a b/mtlinks/hyperbolic_data_06a new file mode 100644 index 0000000..613a135 --- /dev/null +++ b/mtlinks/hyperbolic_data_06a @@ -0,0 +1,8 @@ +fafbdeafc +fafbdefac +fafbdfeac +fbbdceafbd +fbccdefacb +fbccdefcab +fcbbbcdefab +fcbbbceafbd diff --git a/mtlinks/hyperbolic_data_06n b/mtlinks/hyperbolic_data_06n new file mode 100644 index 0000000..26db208 --- /dev/null +++ b/mtlinks/hyperbolic_data_06n @@ -0,0 +1 @@ +fcbbbcDEfAb diff --git a/mtlinks/hyperbolic_data_07a b/mtlinks/hyperbolic_data_07a new file mode 100644 index 0000000..ab145a0 --- /dev/null +++ b/mtlinks/hyperbolic_data_07a @@ -0,0 +1,14 @@ +gagbdefagc +gagbdfagce +gagbefgadc +gagbegfadc +gagcefgabd +gagcefgbad +gagdefgabc +gbbecdefgab +gbbeceafbgd +gbbeceafgbd +gbbeceagfbd +gbcddefacgb +gbcddefagbc +gcbbcceafbgd diff --git a/mtlinks/hyperbolic_data_07n b/mtlinks/hyperbolic_data_07n new file mode 100644 index 0000000..455424d --- /dev/null +++ b/mtlinks/hyperbolic_data_07n @@ -0,0 +1,2 @@ +gbbecDEfGAb +gbbecDEfGaB diff --git a/mtlinks/hyperbolic_data_08a b/mtlinks/hyperbolic_data_08a new file mode 100644 index 0000000..53146c5 --- /dev/null +++ b/mtlinks/hyperbolic_data_08a @@ -0,0 +1,39 @@ +hahbdegahcf +hahbdfagche +hahbdfaghce +hahbdfahgce +hahbdgeahcf +hahbefgahcd +hahbefgahdc +hahbefghacd +hahbefghadc +hahbeghfadc +hahbehgfadc +hahcdefghab +hahcdfaghbe +hahcdfgbhae +hahcdgfbhae +hahcefghbad +hahcefhgbad +hahcfehgbad +hbbfcdegfhab +hbbfceafgbhd 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+1,56 @@ + +#include + +planar_diagram::planar_diagram (const std::string &name_, unsigned n_crossings, const int crossings_ar[][4]) + : name(name_), + crossings(n_crossings) +{ + for (unsigned i = 1; i <= n_crossings; i ++) + { + for (unsigned j = 1; j <= 4; j ++) + crossings[i].append (crossings_ar[i - 1][j - 1]); + } +} + +planar_diagram::planar_diagram (const knot_diagram &kd) + : name(kd.name), + crossings(kd.planar_diagram_crossings ()) +{ +} + +void +planar_diagram::display_bohua () const +{ + printf ("%s\t[", name.c_str ()); + for (unsigned i = 1; i <= crossings.size (); i ++) + { + if (i > 1) + printf (","); + printf ("[%d,%d,%d,%d]", + crossings[i][1], + crossings[i][2], + crossings[i][3], + crossings[i][4]); + } + printf ("]\n"); + +} + +void +planar_diagram::display_self () const +{ + printf ("planar_diagram %s ", name.c_str ()); + for (unsigned i = 1; i <= crossings.size (); i ++) + { + int i1 = crossings[i][1], + i2 = crossings[i][2], + i3 = crossings[i][3], + i4 = crossings[i][4]; + + if (i1 >= 10 || i2 >= 10 || i3 >= 10 || i4 >= 10) + printf ("X_%d,%d,%d,%d", i1, i2, i3, i4); + else + printf ("X_%d%d%d%d", i1, i2, i3, i4); + } + printf ("\n"); +} diff --git a/planar_diagram.h b/planar_diagram.h new file mode 100644 index 0000000..cd095df --- /dev/null +++ b/planar_diagram.h @@ -0,0 +1,28 @@ + +/* Planar diagram of a knot. For details, see: + http://katlas.org/wiki/Planar_Diagrams */ + +class planar_diagram +{ +public: + std::string name; + basedvector, 1> crossings; + +public: + planar_diagram () { } + planar_diagram (const std::string &name, unsigned n_crossings, const int crossings_ar[][4]); + planar_diagram (const std::string &name_, const basedvector, 1> &crossings_) + : name(name_), crossings(crossings_) + { } + planar_diagram (const knot_diagram &kd); + planar_diagram (const planar_diagram &pd) + : name(pd.name), + crossings(pd.crossings) + { } + ~planar_diagram () { } + + void display_bohua () const; + + void show_self () const { printf ("planar_diagram %s", name.c_str ()); } + void display_self () const; +}; diff --git a/rd_parser/location.hh b/rd_parser/location.hh new file mode 100644 index 0000000..de209d7 --- /dev/null +++ b/rd_parser/location.hh @@ -0,0 +1,165 @@ +/* A Bison parser, made by GNU Bison 2.4.3. */ + +/* Locations for Bison parsers in C++ + + Copyright (C) 2002, 2003, 2004, 2005, 2006, 2007, 2009, 2010 Free Software + Foundation, Inc. + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . */ + +/* As a special exception, you may create a larger work that contains + part or all of the Bison parser skeleton and distribute that work + under terms of your choice, so long as that work isn't itself a + parser generator using the skeleton or a modified version thereof + as a parser skeleton. Alternatively, if you modify or redistribute + the parser skeleton itself, you may (at your option) remove this + special exception, which will cause the skeleton and the resulting + Bison output files to be licensed under the GNU General Public + License without this special exception. + + This special exception was added by the Free Software Foundation in + version 2.2 of Bison. */ + +/** + ** \file location.hh + ** Define the yy::location class. + */ + +#ifndef BISON_LOCATION_HH +# define BISON_LOCATION_HH + +# include +# include +# include "position.hh" + + +namespace yy { + +/* Line 163 of location.cc */ +#line 51 "rd_parser/location.hh" + + /// Abstract a location. + class location + { + public: + + /// Construct a location. + location () + : begin (), end () + { + } + + + /// Initialization. + inline void initialize (std::string* fn) + { + begin.initialize (fn); + end = begin; + } + + /** \name Line and Column related manipulators + ** \{ */ + public: + /// Reset initial location to final location. + inline void step () + { + begin = end; + } + + /// Extend the current location to the COUNT next columns. + inline void columns (unsigned int count = 1) + { + end += count; + } + + /// Extend the current location to the COUNT next lines. + inline void lines (unsigned int count = 1) + { + end.lines (count); + } + /** \} */ + + + public: + /// Beginning of the located region. + position begin; + /// End of the located region. + position end; + }; + + /// Join two location objects to create a location. + inline const location operator+ (const location& begin, const location& end) + { + location res = begin; + res.end = end.end; + return res; + } + + /// Add two location objects. + inline const location operator+ (const location& begin, unsigned int width) + { + location res = begin; + res.columns (width); + return res; + } + + /// Add and assign a location. + inline location& operator+= (location& res, unsigned int width) + { + res.columns (width); + return res; + } + + /// Compare two location objects. + inline bool + operator== (const location& loc1, const location& loc2) + { + return loc1.begin == loc2.begin && loc1.end == loc2.end; + } + + /// Compare two location objects. + inline bool + operator!= (const location& loc1, const location& loc2) + { + return !(loc1 == loc2); + } + + /** \brief Intercept output stream redirection. + ** \param ostr the destination output stream + ** \param loc a reference to the location to redirect + ** + ** Avoid duplicate information. + */ + inline std::ostream& operator<< (std::ostream& ostr, const location& loc) + { + position last = loc.end - 1; + ostr << loc.begin; + if (last.filename + && (!loc.begin.filename + || *loc.begin.filename != *last.filename)) + ostr << '-' << last; + else if (loc.begin.line != last.line) + ostr << '-' << last.line << '.' << last.column; + else if (loc.begin.column != last.column) + ostr << '-' << last.column; + return ostr; + } + + +} // yy + +/* Line 272 of location.cc */ +#line 164 "rd_parser/location.hh" + +#endif // not BISON_LOCATION_HH diff --git a/rd_parser/position.hh b/rd_parser/position.hh new file mode 100644 index 0000000..1cd2639 --- /dev/null +++ b/rd_parser/position.hh @@ -0,0 +1,162 @@ +/* A Bison parser, made by GNU Bison 2.4.3. */ + +/* Positions for Bison parsers in C++ + + Copyright (C) 2002, 2003, 2004, 2005, 2006, 2007, 2009, 2010 Free Software + Foundation, Inc. + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . */ + +/* As a special exception, you may create a larger work that contains + part or all of the Bison parser skeleton and distribute that work + under terms of your choice, so long as that work isn't itself a + parser generator using the skeleton or a modified version thereof + as a parser skeleton. Alternatively, if you modify or redistribute + the parser skeleton itself, you may (at your option) remove this + special exception, which will cause the skeleton and the resulting + Bison output files to be licensed under the GNU General Public + License without this special exception. + + This special exception was added by the Free Software Foundation in + version 2.2 of Bison. */ + +/** + ** \file position.hh + ** Define the yy::position class. + */ + +#ifndef BISON_POSITION_HH +# define BISON_POSITION_HH + +# include +# include +# include + + +namespace yy { + +/* Line 38 of location.cc */ +#line 51 "rd_parser/position.hh" + /// Abstract a position. + class position + { + public: + + /// Construct a position. + position () + : filename (0), line (1), column (1) + { + } + + + /// Initialization. + inline void initialize (std::string* fn) + { + filename = fn; + line = 1; + column = 1; + } + + /** \name Line and Column related manipulators + ** \{ */ + public: + /// (line related) Advance to the COUNT next lines. + inline void lines (int count = 1) + { + column = 1; + line += count; + } + + /// (column related) Advance to the COUNT next columns. + inline void columns (int count = 1) + { + column = std::max (1u, column + count); + } + /** \} */ + + public: + /// File name to which this position refers. + std::string* filename; + /// Current line number. + unsigned int line; + /// Current column number. + unsigned int column; + }; + + /// Add and assign a position. + inline const position& + operator+= (position& res, const int width) + { + res.columns (width); + return res; + } + + /// Add two position objects. + inline const position + operator+ (const position& begin, const int width) + { + position res = begin; + return res += width; + } + + /// Add and assign a position. + inline const position& + operator-= (position& res, const int width) + { + return res += -width; + } + + /// Add two position objects. + inline const position + operator- (const position& begin, const int width) + { + return begin + -width; + } + + /// Compare two position objects. + inline bool + operator== (const position& pos1, const position& pos2) + { + return (pos1.line == pos2.line + && pos1.column == pos2.column + && (pos1.filename == pos2.filename + || (pos1.filename && pos2.filename + && *pos1.filename == *pos2.filename))); + } + + /// Compare two position objects. + inline bool + operator!= (const position& pos1, const position& pos2) + { + return !(pos1 == pos2); + } + + /** \brief Intercept output stream redirection. + ** \param ostr the destination output stream + ** \param pos a reference to the position to redirect + */ + inline std::ostream& + operator<< (std::ostream& ostr, const position& pos) + { + if (pos.filename) + ostr << *pos.filename << ':'; + return ostr << pos.line << '.' << pos.column; + } + + +} // yy + +/* Line 145 of location.cc */ +#line 162 "rd_parser/position.hh" +#endif // not BISON_POSITION_HH diff --git a/rd_parser/rd_parser.cc b/rd_parser/rd_parser.cc new file mode 100644 index 0000000..085aa1a --- /dev/null +++ b/rd_parser/rd_parser.cc @@ -0,0 +1,1030 @@ +/* A Bison parser, made by GNU Bison 2.4.3. */ + +/* Skeleton implementation for Bison LALR(1) parsers in C++ + + Copyright (C) 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010 Free + Software Foundation, Inc. + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . */ + +/* As a special exception, you may create a larger work that contains + part or all of the Bison parser skeleton and distribute that work + under terms of your choice, so long as that work isn't itself a + parser generator using the skeleton or a modified version thereof + as a parser skeleton. Alternatively, if you modify or redistribute + the parser skeleton itself, you may (at your option) remove this + special exception, which will cause the skeleton and the resulting + Bison output files to be licensed under the GNU General Public + License without this special exception. + + This special exception was added by the Free Software Foundation in + version 2.2 of Bison. */ + + +/* First part of user declarations. */ + + +/* Line 311 of lalr1.cc */ +#line 40 "rd_parser/rd_parser.cc" + + +#include "rd_parser.hh" + +/* User implementation prologue. */ + + +/* Line 317 of lalr1.cc */ +#line 49 "rd_parser/rd_parser.cc" +/* Unqualified %code blocks. */ + +/* Line 318 of lalr1.cc */ +#line 15 "rd_parser/rd_parser.yy" + +#define YY_DECL \ + yy::rd_parser::token_type rd_yylex (yy::rd_parser::semantic_type *yylval) +YY_DECL; + +#define CPT_MASK 0x0ffff +#define CPT_MARKED 0x10000 +#define CPT_MARKED2 0x20000 + + +/* Line 318 of lalr1.cc */ +#line 32 "rd_parser/rd_parser.yy" + +#define yylex rd_yylex + + + +/* Line 318 of lalr1.cc */ +#line 72 "rd_parser/rd_parser.cc" + +#ifndef YY_ +# if defined YYENABLE_NLS && YYENABLE_NLS +# if ENABLE_NLS +# include /* FIXME: INFRINGES ON USER NAME SPACE */ +# define YY_(msgid) dgettext ("bison-runtime", msgid) +# endif +# endif +# ifndef YY_ +# define YY_(msgid) msgid +# endif +#endif + +/* Suppress unused-variable warnings by "using" E. */ +#define YYUSE(e) ((void) (e)) + +/* Enable debugging if requested. */ +#if YYDEBUG + +/* A pseudo ostream that takes yydebug_ into account. */ +# define YYCDEBUG if (yydebug_) (*yycdebug_) + +# define YY_SYMBOL_PRINT(Title, Type, Value, Location) \ +do { \ + if (yydebug_) \ + { \ + *yycdebug_ << Title << ' '; \ + yy_symbol_print_ ((Type), (Value), (Location)); \ + *yycdebug_ << std::endl; \ + } \ +} while (false) + +# define YY_REDUCE_PRINT(Rule) \ +do { \ + if (yydebug_) \ + yy_reduce_print_ (Rule); \ +} while (false) + +# define YY_STACK_PRINT() \ +do { \ + if (yydebug_) \ + yystack_print_ (); \ +} while (false) + +#else /* !YYDEBUG */ + +# define YYCDEBUG if (false) std::cerr +# define YY_SYMBOL_PRINT(Title, Type, Value, Location) +# define YY_REDUCE_PRINT(Rule) +# define YY_STACK_PRINT() + +#endif /* !YYDEBUG */ + +#define yyerrok (yyerrstatus_ = 0) +#define yyclearin (yychar = yyempty_) + +#define YYACCEPT goto yyacceptlab +#define YYABORT goto yyabortlab +#define YYERROR goto yyerrorlab +#define YYRECOVERING() (!!yyerrstatus_) + + +namespace yy { + +/* Line 380 of lalr1.cc */ +#line 138 "rd_parser/rd_parser.cc" +#if YYERROR_VERBOSE + + /* Return YYSTR after stripping away unnecessary quotes and + backslashes, so that it's suitable for yyerror. The heuristic is + that double-quoting is unnecessary unless the string contains an + apostrophe, a comma, or backslash (other than backslash-backslash). + YYSTR is taken from yytname. */ + std::string + rd_parser::yytnamerr_ (const char *yystr) + { + if (*yystr == '"') + { + std::string yyr = ""; + char const *yyp = yystr; + + for (;;) + switch (*++yyp) + { + case '\'': + case ',': + goto do_not_strip_quotes; + + case '\\': + if (*++yyp != '\\') + goto do_not_strip_quotes; + /* Fall through. */ + default: + yyr += *yyp; + break; + + case '"': + return yyr; + } + do_not_strip_quotes: ; + } + + return yystr; + } + +#endif + + /// Build a parser object. + rd_parser::rd_parser (resolution_diagram &parsed_rd_yyarg) + : +#if YYDEBUG + yydebug_ (false), + yycdebug_ (&std::cerr), +#endif + parsed_rd (parsed_rd_yyarg) + { + } + + rd_parser::~rd_parser () + { + } + +#if YYDEBUG + /*--------------------------------. + | Print this symbol on YYOUTPUT. | + `--------------------------------*/ + + inline void + rd_parser::yy_symbol_value_print_ (int yytype, + const semantic_type* yyvaluep, const location_type* yylocationp) + { + YYUSE (yylocationp); + YYUSE (yyvaluep); + switch (yytype) + { + default: + break; + } + } + + + void + rd_parser::yy_symbol_print_ (int yytype, + const semantic_type* yyvaluep, const location_type* yylocationp) + { + *yycdebug_ << (yytype < yyntokens_ ? "token" : "nterm") + << ' ' << yytname_[yytype] << " (" + << *yylocationp << ": "; + yy_symbol_value_print_ (yytype, yyvaluep, yylocationp); + *yycdebug_ << ')'; + } +#endif + + void + rd_parser::yydestruct_ (const char* yymsg, + int yytype, semantic_type* yyvaluep, location_type* yylocationp) + { + YYUSE (yylocationp); + YYUSE (yymsg); + YYUSE (yyvaluep); + + YY_SYMBOL_PRINT (yymsg, yytype, yyvaluep, yylocationp); + + switch (yytype) + { + + default: + break; + } + } + + void + rd_parser::yypop_ (unsigned int n) + { + yystate_stack_.pop (n); + yysemantic_stack_.pop (n); + yylocation_stack_.pop (n); + } + +#if YYDEBUG + std::ostream& + rd_parser::debug_stream () const + { + return *yycdebug_; + } + + void + rd_parser::set_debug_stream (std::ostream& o) + { + yycdebug_ = &o; + } + + + rd_parser::debug_level_type + rd_parser::debug_level () const + { + return yydebug_; + } + + void + rd_parser::set_debug_level (debug_level_type l) + { + yydebug_ = l; + } +#endif + + int + rd_parser::parse () + { + /// Lookahead and lookahead in internal form. + int yychar = yyempty_; + int yytoken = 0; + + /* State. */ + int yyn; + int yylen = 0; + int yystate = 0; + + /* Error handling. */ + int yynerrs_ = 0; + int yyerrstatus_ = 0; + + /// Semantic value of the lookahead. + semantic_type yylval; + /// Location of the lookahead. + location_type yylloc; + /// The locations where the error started and ended. + location_type yyerror_range[3]; + + /// $$. + semantic_type yyval; + /// @$. + location_type yyloc; + + int yyresult; + + YYCDEBUG << "Starting parse" << std::endl; + + + /* Initialize the stacks. The initial state will be pushed in + yynewstate, since the latter expects the semantical and the + location values to have been already stored, initialize these + stacks with a primary value. */ + yystate_stack_ = state_stack_type (0); + yysemantic_stack_ = semantic_stack_type (0); + yylocation_stack_ = location_stack_type (0); + yysemantic_stack_.push (yylval); + yylocation_stack_.push (yylloc); + + /* New state. */ + yynewstate: + yystate_stack_.push (yystate); + YYCDEBUG << "Entering state " << yystate << std::endl; + + /* Accept? */ + if (yystate == yyfinal_) + goto yyacceptlab; + + goto yybackup; + + /* Backup. */ + yybackup: + + /* Try to take a decision without lookahead. */ + yyn = yypact_[yystate]; + if (yyn == yypact_ninf_) + goto yydefault; + + /* Read a lookahead token. */ + if (yychar == yyempty_) + { + YYCDEBUG << "Reading a token: "; + yychar = yylex (&yylval); + } + + + /* Convert token to internal form. */ + if (yychar <= yyeof_) + { + yychar = yytoken = yyeof_; + YYCDEBUG << "Now at end of input." << std::endl; + } + else + { + yytoken = yytranslate_ (yychar); + YY_SYMBOL_PRINT ("Next token is", yytoken, &yylval, &yylloc); + } + + /* If the proper action on seeing token YYTOKEN is to reduce or to + detect an error, take that action. */ + yyn += yytoken; + if (yyn < 0 || yylast_ < yyn || yycheck_[yyn] != yytoken) + goto yydefault; + + /* Reduce or error. */ + yyn = yytable_[yyn]; + if (yyn <= 0) + { + if (yyn == 0 || yyn == yytable_ninf_) + goto yyerrlab; + yyn = -yyn; + goto yyreduce; + } + + /* Shift the lookahead token. */ + YY_SYMBOL_PRINT ("Shifting", yytoken, &yylval, &yylloc); + + /* Discard the token being shifted. */ + yychar = yyempty_; + + yysemantic_stack_.push (yylval); + yylocation_stack_.push (yylloc); + + /* Count tokens shifted since error; after three, turn off error + status. */ + if (yyerrstatus_) + --yyerrstatus_; + + yystate = yyn; + goto yynewstate; + + /*-----------------------------------------------------------. + | yydefault -- do the default action for the current state. | + `-----------------------------------------------------------*/ + yydefault: + yyn = yydefact_[yystate]; + if (yyn == 0) + goto yyerrlab; + goto yyreduce; + + /*-----------------------------. + | yyreduce -- Do a reduction. | + `-----------------------------*/ + yyreduce: + yylen = yyr2_[yyn]; + /* If YYLEN is nonzero, implement the default value of the action: + `$$ = $1'. Otherwise, use the top of the stack. + + Otherwise, the following line sets YYVAL to garbage. + This behavior is undocumented and Bison + users should not rely upon it. */ + if (yylen) + yyval = yysemantic_stack_[yylen - 1]; + else + yyval = yysemantic_stack_[0]; + + { + slice slice (yylocation_stack_, yylen); + YYLLOC_DEFAULT (yyloc, slice, yylen); + } + YY_REDUCE_PRINT (yyn); + switch (yyn) + { + case 2: + +/* Line 678 of lalr1.cc */ +#line 54 "rd_parser/rd_parser.yy" + { + unsigned n_crossings = (yysemantic_stack_[(1) - (1)].integer); + parsed_rd.n_crossings = n_crossings; + + unsigned n_cpts = parsed_rd.num_cpts (); + + parsed_rd.resolved = smallbitset (n_crossings, 0); + parsed_rd.to_resolve = smallbitset (n_crossings, ~0); + parsed_rd.cpt_inside = smallbitset (n_cpts, 0); + + parsed_rd.prev = basedvector (n_cpts); + parsed_rd.next = basedvector (n_cpts); + parsed_rd.cpt_starting_circle = basedvector (n_cpts); + parsed_rd.cpt_ending_circle = basedvector (n_cpts); + + for (unsigned i = 1; i <= n_cpts; i ++) + { + parsed_rd.prev[i] + = parsed_rd.next[i] + = parsed_rd.cpt_starting_circle[i] + = parsed_rd.cpt_ending_circle[i] + = 0; + } + } + break; + + case 6: + +/* Line 678 of lalr1.cc */ +#line 88 "rd_parser/rd_parser.yy" + { + unsigned s = ++ parsed_rd.n_starting_circles; + + const basedvector &v = *(yysemantic_stack_[(3) - (2)].cpt_vec); + unsigned n = v.size (); + unsigned p = v[n] & CPT_MASK; + for (unsigned i = 1; i <= n; i ++) + { + unsigned c = v[i] & CPT_MASK; + + parsed_rd.next[p] = c; + parsed_rd.prev[c] = p; + parsed_rd.cpt_starting_circle[c] = s; + p = c; + + if (v[i] & CPT_MARKED) + parsed_rd.marked_edge = c; + if (v[i] & CPT_MARKED2) + parsed_rd.marked_edge2 = c; + } + } + break; + + case 12: + +/* Line 678 of lalr1.cc */ +#line 126 "rd_parser/rd_parser.yy" + { + basedvector *v = + new basedvector (); + v->append ((yysemantic_stack_[(1) - (1)].cpt)); + (yyval.cpt_vec) = v; + } + break; + + case 13: + +/* Line 678 of lalr1.cc */ +#line 133 "rd_parser/rd_parser.yy" + { + basedvector *v = (yysemantic_stack_[(3) - (1)].cpt_vec); + v->append ((yysemantic_stack_[(3) - (3)].cpt)); + (yyval.cpt_vec) = v; + } + break; + + case 15: + +/* Line 678 of lalr1.cc */ +#line 143 "rd_parser/rd_parser.yy" + { (yyval.cpt) = (yysemantic_stack_[(2) - (1)].cpt) | CPT_MARKED; } + break; + + case 16: + +/* Line 678 of lalr1.cc */ +#line 145 "rd_parser/rd_parser.yy" + { (yyval.cpt) = (yysemantic_stack_[(2) - (1)].cpt) | CPT_MARKED2; } + break; + + case 17: + +/* Line 678 of lalr1.cc */ +#line 147 "rd_parser/rd_parser.yy" + { (yyval.cpt) = (yysemantic_stack_[(3) - (1)].cpt) | CPT_MARKED | CPT_MARKED2; } + break; + + case 18: + +/* Line 678 of lalr1.cc */ +#line 149 "rd_parser/rd_parser.yy" + { (yyval.cpt) = (yysemantic_stack_[(3) - (1)].cpt) | CPT_MARKED | CPT_MARKED2; } + break; + + case 19: + +/* Line 678 of lalr1.cc */ +#line 154 "rd_parser/rd_parser.yy" + { + if ((yysemantic_stack_[(2) - (2)].inside)) + parsed_rd.cpt_inside.push ((yysemantic_stack_[(2) - (1)].cpt)); + (yyval.cpt) = (yysemantic_stack_[(2) - (1)].cpt); + } + break; + + case 20: + +/* Line 678 of lalr1.cc */ +#line 163 "rd_parser/rd_parser.yy" + { (yyval.cpt) = parsed_rd.crossing_to_cpt ((yysemantic_stack_[(2) - (2)].integer)); } + break; + + case 21: + +/* Line 678 of lalr1.cc */ +#line 165 "rd_parser/rd_parser.yy" + { (yyval.cpt) = parsed_rd.crossing_from_cpt ((yysemantic_stack_[(2) - (2)].integer)); } + break; + + + +/* Line 678 of lalr1.cc */ +#line 562 "rd_parser/rd_parser.cc" + default: + break; + } + YY_SYMBOL_PRINT ("-> $$ =", yyr1_[yyn], &yyval, &yyloc); + + yypop_ (yylen); + yylen = 0; + YY_STACK_PRINT (); + + yysemantic_stack_.push (yyval); + yylocation_stack_.push (yyloc); + + /* Shift the result of the reduction. */ + yyn = yyr1_[yyn]; + yystate = yypgoto_[yyn - yyntokens_] + yystate_stack_[0]; + if (0 <= yystate && yystate <= yylast_ + && yycheck_[yystate] == yystate_stack_[0]) + yystate = yytable_[yystate]; + else + yystate = yydefgoto_[yyn - yyntokens_]; + goto yynewstate; + + /*------------------------------------. + | yyerrlab -- here on detecting error | + `------------------------------------*/ + yyerrlab: + /* If not already recovering from an error, report this error. */ + if (!yyerrstatus_) + { + ++yynerrs_; + error (yylloc, yysyntax_error_ (yystate)); + } + + yyerror_range[1] = yylloc; + if (yyerrstatus_ == 3) + { + /* If just tried and failed to reuse lookahead token after an + error, discard it. */ + + if (yychar <= yyeof_) + { + /* Return failure if at end of input. */ + if (yychar == yyeof_) + YYABORT; + } + else + { + yydestruct_ ("Error: discarding", yytoken, &yylval, &yylloc); + yychar = yyempty_; + } + } + + /* Else will try to reuse lookahead token after shifting the error + token. */ + goto yyerrlab1; + + + /*---------------------------------------------------. + | yyerrorlab -- error raised explicitly by YYERROR. | + `---------------------------------------------------*/ + yyerrorlab: + + /* Pacify compilers like GCC when the user code never invokes + YYERROR and the label yyerrorlab therefore never appears in user + code. */ + if (false) + goto yyerrorlab; + + yyerror_range[1] = yylocation_stack_[yylen - 1]; + /* Do not reclaim the symbols of the rule which action triggered + this YYERROR. */ + yypop_ (yylen); + yylen = 0; + yystate = yystate_stack_[0]; + goto yyerrlab1; + + /*-------------------------------------------------------------. + | yyerrlab1 -- common code for both syntax error and YYERROR. | + `-------------------------------------------------------------*/ + yyerrlab1: + yyerrstatus_ = 3; /* Each real token shifted decrements this. */ + + for (;;) + { + yyn = yypact_[yystate]; + if (yyn != yypact_ninf_) + { + yyn += yyterror_; + if (0 <= yyn && yyn <= yylast_ && yycheck_[yyn] == yyterror_) + { + yyn = yytable_[yyn]; + if (0 < yyn) + break; + } + } + + /* Pop the current state because it cannot handle the error token. */ + if (yystate_stack_.height () == 1) + YYABORT; + + yyerror_range[1] = yylocation_stack_[0]; + yydestruct_ ("Error: popping", + yystos_[yystate], + &yysemantic_stack_[0], &yylocation_stack_[0]); + yypop_ (); + yystate = yystate_stack_[0]; + YY_STACK_PRINT (); + } + + yyerror_range[2] = yylloc; + // Using YYLLOC is tempting, but would change the location of + // the lookahead. YYLOC is available though. + YYLLOC_DEFAULT (yyloc, yyerror_range, 2); + yysemantic_stack_.push (yylval); + yylocation_stack_.push (yyloc); + + /* Shift the error token. */ + YY_SYMBOL_PRINT ("Shifting", yystos_[yyn], + &yysemantic_stack_[0], &yylocation_stack_[0]); + + yystate = yyn; + goto yynewstate; + + /* Accept. */ + yyacceptlab: + yyresult = 0; + goto yyreturn; + + /* Abort. */ + yyabortlab: + yyresult = 1; + goto yyreturn; + + yyreturn: + if (yychar != yyempty_) + yydestruct_ ("Cleanup: discarding lookahead", yytoken, &yylval, &yylloc); + + /* Do not reclaim the symbols of the rule which action triggered + this YYABORT or YYACCEPT. */ + yypop_ (yylen); + while (yystate_stack_.height () != 1) + { + yydestruct_ ("Cleanup: popping", + yystos_[yystate_stack_[0]], + &yysemantic_stack_[0], + &yylocation_stack_[0]); + yypop_ (); + } + + return yyresult; + } + + // Generate an error message. + std::string + rd_parser::yysyntax_error_ (int yystate) + { + std::string res; + YYUSE (yystate); +#if YYERROR_VERBOSE + int yyn = yypact_[yystate]; + if (yypact_ninf_ < yyn && yyn <= yylast_) + { + /* Start YYX at -YYN if negative to avoid negative indexes in + YYCHECK. */ + int yyxbegin = yyn < 0 ? -yyn : 0; + + /* Stay within bounds of both yycheck and yytname. */ + int yychecklim = yylast_ - yyn + 1; + int yyxend = yychecklim < yyntokens_ ? yychecklim : yyntokens_; + int count = 0; + for (int x = yyxbegin; x < yyxend; ++x) + if (yycheck_[x + yyn] == x && x != yyterror_) + ++count; + + // FIXME: This method of building the message is not compatible + // with internationalization. It should work like yacc.c does it. + // That is, first build a string that looks like this: + // "syntax error, unexpected %s or %s or %s" + // Then, invoke YY_ on this string. + // Finally, use the string as a format to output + // yytname_[tok], etc. + // Until this gets fixed, this message appears in English only. + res = "syntax error, unexpected "; + res += yytnamerr_ (yytname_[tok]); + if (count < 5) + { + count = 0; + for (int x = yyxbegin; x < yyxend; ++x) + if (yycheck_[x + yyn] == x && x != yyterror_) + { + res += (!count++) ? ", expecting " : " or "; + res += yytnamerr_ (yytname_[x]); + } + } + } + else +#endif + res = YY_("syntax error"); + return res; + } + + + /* YYPACT[STATE-NUM] -- Index in YYTABLE of the portion describing + STATE-NUM. */ + const signed char rd_parser::yypact_ninf_ = -12; + const signed char + rd_parser::yypact_[] = + { + -2, -12, 11, 4, -12, 5, -1, -3, -12, 10, + 12, -8, -12, -5, 3, 13, -12, -12, -12, -12, + -1, -12, 6, 8, -12, -12, -12, 7, -12, 9, + -12, -12, -12, 18, 13, -12, -12 + }; + + /* YYDEFACT[S] -- default rule to reduce with in state S when YYTABLE + doesn't specify something else to do. Zero means the default is an + error. */ + const unsigned char + rd_parser::yydefact_[] = + { + 0, 2, 0, 0, 1, 0, 0, 7, 4, 0, + 0, 0, 12, 14, 0, 0, 5, 3, 20, 21, + 0, 6, 15, 16, 22, 23, 19, 0, 8, 9, + 13, 18, 17, 0, 0, 11, 10 + }; + + /* YYPGOTO[NTERM-NUM]. */ + const signed char + rd_parser::yypgoto_[] = + { + -12, -12, -12, -12, 15, -12, -11, -12, -12, 14, + -12, -12, -12 + }; + + /* YYDEFGOTO[NTERM-NUM]. */ + const signed char + rd_parser::yydefgoto_[] = + { + -1, 2, 3, 7, 8, 17, 28, 29, 11, 12, + 13, 14, 26 + }; + + /* YYTABLE[YYPACT[STATE-NUM]]. What to do in state STATE-NUM. If + positive, shift that token. If negative, reduce the rule which + number is the opposite. If zero, do what YYDEFACT says. */ + const signed char rd_parser::yytable_ninf_ = -1; + const unsigned char + rd_parser::yytable_[] = + { + 20, 1, 21, 9, 10, 15, 6, 22, 23, 24, + 25, 4, 5, 18, 6, 19, 27, 34, 33, 31, + 32, 35, 16, 36, 0, 0, 0, 0, 0, 0, + 0, 0, 0, 0, 30 + }; + + /* YYCHECK. */ + const signed char + rd_parser::yycheck_[] = + { + 8, 3, 10, 4, 5, 8, 9, 12, 13, 6, + 7, 0, 8, 3, 9, 3, 3, 8, 11, 13, + 12, 3, 7, 34, -1, -1, -1, -1, -1, -1, + -1, -1, -1, -1, 20 + }; + + /* STOS_[STATE-NUM] -- The (internal number of the) accessing + symbol of state STATE-NUM. */ + const unsigned char + rd_parser::yystos_[] = + { + 0, 3, 15, 16, 0, 8, 9, 17, 18, 4, + 5, 22, 23, 24, 25, 8, 18, 19, 3, 3, + 8, 10, 12, 13, 6, 7, 26, 3, 20, 21, + 23, 13, 12, 11, 8, 3, 20 + }; + +#if YYDEBUG + /* TOKEN_NUMBER_[YYLEX-NUM] -- Internal symbol number corresponding + to YYLEX-NUM. */ + const unsigned short int + rd_parser::yytoken_number_[] = + { + 0, 256, 257, 258, 259, 260, 261, 262, 44, 40, + 41, 124, 42, 43 + }; +#endif + + /* YYR1[YYN] -- Symbol number of symbol that rule YYN derives. */ + const unsigned char + rd_parser::yyr1_[] = + { + 0, 14, 16, 15, 17, 17, 18, 19, 19, 20, + 20, 21, 22, 22, 23, 23, 23, 23, 23, 24, + 25, 25, 26, 26 + }; + + /* YYR2[YYN] -- Number of symbols composing right hand side of rule YYN. */ + const unsigned char + rd_parser::yyr2_[] = + { + 0, 2, 0, 5, 1, 2, 3, 0, 2, 1, + 3, 3, 1, 3, 1, 2, 2, 3, 3, 2, + 2, 2, 1, 1 + }; + +#if YYDEBUG || YYERROR_VERBOSE || YYTOKEN_TABLE + /* YYTNAME[SYMBOL-NUM] -- String name of the symbol SYMBOL-NUM. + First, the terminals, then, starting at \a yyntokens_, nonterminals. */ + const char* + const rd_parser::yytname_[] = + { + "\"end of file\"", "error", "$undefined", "INT", "H", "T", "IN", "OUT", + "','", "'('", "')'", "'|'", "'*'", "'+'", "$accept", + "resolution_diagram", "$@1", "starting_circles", "starting_circle", + "dual_crossings_opt", "dual_crossings", "dual_crossing", + "crossing_points", "crossing_point", "crossing_point_1", + "crossing_point_spec", "inout", 0 + }; +#endif + +#if YYDEBUG + /* YYRHS -- A `-1'-separated list of the rules' RHS. */ + const rd_parser::rhs_number_type + rd_parser::yyrhs_[] = + { + 15, 0, -1, -1, 3, 16, 8, 17, 19, -1, + 18, -1, 17, 18, -1, 9, 22, 10, -1, -1, + 8, 20, -1, 21, -1, 21, 8, 20, -1, 3, + 11, 3, -1, 23, -1, 22, 8, 23, -1, 24, + -1, 24, 12, -1, 24, 13, -1, 24, 13, 12, + -1, 24, 12, 13, -1, 25, 26, -1, 4, 3, + -1, 5, 3, -1, 6, -1, 7, -1 + }; + + /* YYPRHS[YYN] -- Index of the first RHS symbol of rule number YYN in + YYRHS. */ + const unsigned char + rd_parser::yyprhs_[] = + { + 0, 0, 3, 4, 10, 12, 15, 19, 20, 23, + 25, 29, 33, 35, 39, 41, 44, 47, 51, 55, + 58, 61, 64, 66 + }; + + /* YYRLINE[YYN] -- Source line where rule number YYN was defined. */ + const unsigned char + rd_parser::yyrline_[] = + { + 0, 54, 54, 53, 82, 83, 87, 111, 113, 116, + 117, 121, 125, 132, 141, 142, 144, 146, 148, 153, + 162, 164, 169, 170 + }; + + // Print the state stack on the debug stream. + void + rd_parser::yystack_print_ () + { + *yycdebug_ << "Stack now"; + for (state_stack_type::const_iterator i = yystate_stack_.begin (); + i != yystate_stack_.end (); ++i) + *yycdebug_ << ' ' << *i; + *yycdebug_ << std::endl; + } + + // Report on the debug stream that the rule \a yyrule is going to be reduced. + void + rd_parser::yy_reduce_print_ (int yyrule) + { + unsigned int yylno = yyrline_[yyrule]; + int yynrhs = yyr2_[yyrule]; + /* Print the symbols being reduced, and their result. */ + *yycdebug_ << "Reducing stack by rule " << yyrule - 1 + << " (line " << yylno << "):" << std::endl; + /* The symbols being reduced. */ + for (int yyi = 0; yyi < yynrhs; yyi++) + YY_SYMBOL_PRINT (" $" << yyi + 1 << " =", + yyrhs_[yyprhs_[yyrule] + yyi], + &(yysemantic_stack_[(yynrhs) - (yyi + 1)]), + &(yylocation_stack_[(yynrhs) - (yyi + 1)])); + } +#endif // YYDEBUG + + /* YYTRANSLATE(YYLEX) -- Bison symbol number corresponding to YYLEX. */ + rd_parser::token_number_type + rd_parser::yytranslate_ (int t) + { + static + const token_number_type + translate_table[] = + { + 0, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 9, 10, 12, 13, 8, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 11, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, + 2, 2, 2, 2, 2, 2, 1, 2, 3, 4, + 5, 6, 7 + }; + if ((unsigned int) t <= yyuser_token_number_max_) + return translate_table[t]; + else + return yyundef_token_; + } + + const int rd_parser::yyeof_ = 0; + const int rd_parser::yylast_ = 34; + const int rd_parser::yynnts_ = 13; + const int rd_parser::yyempty_ = -2; + const int rd_parser::yyfinal_ = 4; + const int rd_parser::yyterror_ = 1; + const int rd_parser::yyerrcode_ = 256; + const int rd_parser::yyntokens_ = 14; + + const unsigned int rd_parser::yyuser_token_number_max_ = 262; + const rd_parser::token_number_type rd_parser::yyundef_token_ = 2; + + +} // yy + +/* Line 1054 of lalr1.cc */ +#line 1003 "rd_parser/rd_parser.cc" + + +/* Line 1056 of lalr1.cc */ +#line 173 "rd_parser/rd_parser.yy" + + +void +yy::rd_parser::error (const yy::rd_parser::location_type &l, + const std::string &m) +{ + fprintf (stderr, "rd_parser: parse error.\n"); + exit (EXIT_FAILURE); +} + +void rd_scan_string (const char *s); + +resolution_diagram +parse_resolution_diagram (const char *s) +{ + rd_scan_string (s); + + resolution_diagram rd; + yy::rd_parser parser (rd); + parser.parse (); + + return rd; +} + diff --git a/rd_parser/rd_parser.hh b/rd_parser/rd_parser.hh new file mode 100644 index 0000000..d522587 --- /dev/null +++ b/rd_parser/rd_parser.hh @@ -0,0 +1,329 @@ +/* A Bison parser, made by GNU Bison 2.4.3. */ + +/* Skeleton interface for Bison LALR(1) parsers in C++ + + Copyright (C) 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010 Free + Software Foundation, Inc. + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . */ + +/* As a special exception, you may create a larger work that contains + part or all of the Bison parser skeleton and distribute that work + under terms of your choice, so long as that work isn't itself a + parser generator using the skeleton or a modified version thereof + as a parser skeleton. Alternatively, if you modify or redistribute + the parser skeleton itself, you may (at your option) remove this + special exception, which will cause the skeleton and the resulting + Bison output files to be licensed under the GNU General Public + License without this special exception. + + This special exception was added by the Free Software Foundation in + version 2.2 of Bison. */ + +/* C++ LALR(1) parser skeleton written by Akim Demaille. */ + +#ifndef PARSER_HEADER_H +# define PARSER_HEADER_H + +/* "%code requires" blocks. */ + +/* Line 35 of lalr1.cc */ +#line 11 "rd_parser/rd_parser.yy" + +#include + + + +/* Line 35 of lalr1.cc */ +#line 50 "rd_parser/rd_parser.hh" + + +#include +#include +#include "stack.hh" + + +namespace yy { + +/* Line 35 of lalr1.cc */ +#line 61 "rd_parser/rd_parser.hh" + class position; + class location; + +} // yy + +/* Line 35 of lalr1.cc */ +#line 68 "rd_parser/rd_parser.hh" + +#include "location.hh" + +/* Enabling traces. */ +#ifndef YYDEBUG +# define YYDEBUG 0 +#endif + +/* Enabling verbose error messages. */ +#ifdef YYERROR_VERBOSE +# undef YYERROR_VERBOSE +# define YYERROR_VERBOSE 1 +#else +# define YYERROR_VERBOSE 0 +#endif + +/* Enabling the token table. */ +#ifndef YYTOKEN_TABLE +# define YYTOKEN_TABLE 0 +#endif + +/* YYLLOC_DEFAULT -- Set CURRENT to span from RHS[1] to RHS[N]. + If N is 0, then set CURRENT to the empty location which ends + the previous symbol: RHS[0] (always defined). */ + +#ifndef YYLLOC_DEFAULT +# define YYLLOC_DEFAULT(Current, Rhs, N) \ +do { \ + if (N) \ + { \ + (Current).begin = (Rhs)[1].begin; \ + (Current).end = (Rhs)[N].end; \ + } \ + else \ + { \ + (Current).begin = (Current).end = (Rhs)[0].end; \ + } \ +} while (false) +#endif + + +namespace yy { + +/* Line 35 of lalr1.cc */ +#line 113 "rd_parser/rd_parser.hh" + + /// A Bison parser. + class rd_parser + { + public: + /// Symbol semantic values. +#ifndef YYSTYPE + union semantic_type + { + +/* Line 35 of lalr1.cc */ +#line 25 "rd_parser/rd_parser.yy" + + int integer; + int cpt; + bool inside; + basedvector *cpt_vec; + + + +/* Line 35 of lalr1.cc */ +#line 135 "rd_parser/rd_parser.hh" + }; +#else + typedef YYSTYPE semantic_type; +#endif + /// Symbol locations. + typedef location location_type; + /// Tokens. + struct token + { + /* Tokens. */ + enum yytokentype { + END = 0, + INT = 258, + H = 259, + T = 260, + IN = 261, + OUT = 262 + }; + + }; + /// Token type. + typedef token::yytokentype token_type; + + /// Build a parser object. + rd_parser (resolution_diagram &parsed_rd_yyarg); + virtual ~rd_parser (); + + /// Parse. + /// \returns 0 iff parsing succeeded. + virtual int parse (); + +#if YYDEBUG + /// The current debugging stream. + std::ostream& debug_stream () const; + /// Set the current debugging stream. + void set_debug_stream (std::ostream &); + + /// Type for debugging levels. + typedef int debug_level_type; + /// The current debugging level. + debug_level_type debug_level () const; + /// Set the current debugging level. + void set_debug_level (debug_level_type l); +#endif + + private: + /// Report a syntax error. + /// \param loc where the syntax error is found. + /// \param msg a description of the syntax error. + virtual void error (const location_type& loc, const std::string& msg); + + /// Generate an error message. + /// \param state the state where the error occurred. + /// \param tok the lookahead token. + virtual std::string yysyntax_error_ (int yystate); + +#if YYDEBUG + /// \brief Report a symbol value on the debug stream. + /// \param yytype The token type. + /// \param yyvaluep Its semantic value. + /// \param yylocationp Its location. + virtual void yy_symbol_value_print_ (int yytype, + const semantic_type* yyvaluep, + const location_type* yylocationp); + /// \brief Report a symbol on the debug stream. + /// \param yytype The token type. + /// \param yyvaluep Its semantic value. + /// \param yylocationp Its location. + virtual void yy_symbol_print_ (int yytype, + const semantic_type* yyvaluep, + const location_type* yylocationp); +#endif + + + /// State numbers. + typedef int state_type; + /// State stack type. + typedef stack state_stack_type; + /// Semantic value stack type. + typedef stack semantic_stack_type; + /// location stack type. + typedef stack location_stack_type; + + /// The state stack. + state_stack_type yystate_stack_; + /// The semantic value stack. + semantic_stack_type yysemantic_stack_; + /// The location stack. + location_stack_type yylocation_stack_; + + /// Internal symbol numbers. + typedef unsigned char token_number_type; + /* Tables. */ + /// For a state, the index in \a yytable_ of its portion. + static const signed char yypact_[]; + static const signed char yypact_ninf_; + + /// For a state, default rule to reduce. + /// Unless\a yytable_ specifies something else to do. + /// Zero means the default is an error. + static const unsigned char yydefact_[]; + + static const signed char yypgoto_[]; + static const signed char yydefgoto_[]; + + /// What to do in a state. + /// \a yytable_[yypact_[s]]: what to do in state \a s. + /// - if positive, shift that token. + /// - if negative, reduce the rule which number is the opposite. + /// - if zero, do what YYDEFACT says. + static const unsigned char yytable_[]; + static const signed char yytable_ninf_; + + static const signed char yycheck_[]; + + /// For a state, its accessing symbol. + static const unsigned char yystos_[]; + + /// For a rule, its LHS. + static const unsigned char yyr1_[]; + /// For a rule, its RHS length. + static const unsigned char yyr2_[]; + +#if YYDEBUG || YYERROR_VERBOSE || YYTOKEN_TABLE + /// For a symbol, its name in clear. + static const char* const yytname_[]; +#endif + +#if YYERROR_VERBOSE + /// Convert the symbol name \a n to a form suitable for a diagnostic. + virtual std::string yytnamerr_ (const char *n); +#endif + +#if YYDEBUG + /// A type to store symbol numbers and -1. + typedef signed char rhs_number_type; + /// A `-1'-separated list of the rules' RHS. + static const rhs_number_type yyrhs_[]; + /// For each rule, the index of the first RHS symbol in \a yyrhs_. + static const unsigned char yyprhs_[]; + /// For each rule, its source line number. + static const unsigned char yyrline_[]; + /// For each scanner token number, its symbol number. + static const unsigned short int yytoken_number_[]; + /// Report on the debug stream that the rule \a r is going to be reduced. + virtual void yy_reduce_print_ (int r); + /// Print the state stack on the debug stream. + virtual void yystack_print_ (); + + /* Debugging. */ + int yydebug_; + std::ostream* yycdebug_; +#endif + + /// Convert a scanner token number \a t to a symbol number. + token_number_type yytranslate_ (int t); + + /// \brief Reclaim the memory associated to a symbol. + /// \param yymsg Why this token is reclaimed. + /// \param yytype The symbol type. + /// \param yyvaluep Its semantic value. + /// \param yylocationp Its location. + inline void yydestruct_ (const char* yymsg, + int yytype, + semantic_type* yyvaluep, + location_type* yylocationp); + + /// Pop \a n symbols the three stacks. + inline void yypop_ (unsigned int n = 1); + + /* Constants. */ + static const int yyeof_; + /* LAST_ -- Last index in TABLE_. */ + static const int yylast_; + static const int yynnts_; + static const int yyempty_; + static const int yyfinal_; + static const int yyterror_; + static const int yyerrcode_; + static const int yyntokens_; + static const unsigned int yyuser_token_number_max_; + static const token_number_type yyundef_token_; + + /* User arguments. */ + resolution_diagram &parsed_rd; + }; + +} // yy + +/* Line 35 of lalr1.cc */ +#line 326 "rd_parser/rd_parser.hh" + + + +#endif /* ! defined PARSER_HEADER_H */ diff --git a/rd_parser/rd_parser.yy b/rd_parser/rd_parser.yy new file mode 100644 index 0000000..8248c7a --- /dev/null +++ b/rd_parser/rd_parser.yy @@ -0,0 +1,195 @@ + +%skeleton "lalr1.cc" +%require "2.4.3" +%defines +%define parser_class_name "rd_parser" + +%parse-param { resolution_diagram &parsed_rd } + +// %no-lines + +%code requires { +#include +} + +%code{ +#define YY_DECL \ + yy::rd_parser::token_type rd_yylex (yy::rd_parser::semantic_type *yylval) +YY_DECL; + +#define CPT_MASK 0x0ffff +#define CPT_MARKED 0x10000 +#define CPT_MARKED2 0x20000 +} + +%union { + int integer; + int cpt; + bool inside; + basedvector *cpt_vec; +} + +%code { +#define yylex rd_yylex +} + +%token INT + +%token END 0 "end of file" + +%token H T +%token IN OUT + +%type crossing_point_spec crossing_point_1 crossing_point +%type inout + +%type crossing_points + +%% + +%start resolution_diagram; + +resolution_diagram: + INT + { + unsigned n_crossings = $1; + parsed_rd.n_crossings = n_crossings; + + unsigned n_cpts = parsed_rd.num_cpts (); + + parsed_rd.resolved = smallbitset (n_crossings, 0); + parsed_rd.to_resolve = smallbitset (n_crossings, ~0); + parsed_rd.cpt_inside = smallbitset (n_cpts, 0); + + parsed_rd.prev = basedvector (n_cpts); + parsed_rd.next = basedvector (n_cpts); + parsed_rd.cpt_starting_circle = basedvector (n_cpts); + parsed_rd.cpt_ending_circle = basedvector (n_cpts); + + for (unsigned i = 1; i <= n_cpts; i ++) + { + parsed_rd.prev[i] + = parsed_rd.next[i] + = parsed_rd.cpt_starting_circle[i] + = parsed_rd.cpt_ending_circle[i] + = 0; + } + } + ',' starting_circles dual_crossings_opt + ; + +starting_circles: + starting_circle + | starting_circles starting_circle + ; + +starting_circle: + '(' crossing_points ')' + { + unsigned s = ++ parsed_rd.n_starting_circles; + + const basedvector &v = *$2; + unsigned n = v.size (); + unsigned p = v[n] & CPT_MASK; + for (unsigned i = 1; i <= n; i ++) + { + unsigned c = v[i] & CPT_MASK; + + parsed_rd.next[p] = c; + parsed_rd.prev[c] = p; + parsed_rd.cpt_starting_circle[c] = s; + p = c; + + if (v[i] & CPT_MARKED) + parsed_rd.marked_edge = c; + if (v[i] & CPT_MARKED2) + parsed_rd.marked_edge2 = c; + } + } + ; + +dual_crossings_opt: + /* empty */ + | ',' dual_crossings + +dual_crossings: + dual_crossing + | dual_crossing ',' dual_crossings + ; + +dual_crossing: + INT '|' INT + ; + +crossing_points: + crossing_point + { + basedvector *v = + new basedvector (); + v->append ($1); + $$ = v; + } + | crossing_points ',' crossing_point + { + basedvector *v = $1; + v->append ($3); + $$ = v; + } + ; + +crossing_point: + crossing_point_1 + | crossing_point_1 '*' + { $$ = $1 | CPT_MARKED; } + | crossing_point_1 '+' + { $$ = $1 | CPT_MARKED2; } + | crossing_point_1 '+' '*' + { $$ = $1 | CPT_MARKED | CPT_MARKED2; } + | crossing_point_1 '*' '+' + { $$ = $1 | CPT_MARKED | CPT_MARKED2; } + ; + +crossing_point_1: + crossing_point_spec inout + { + if ($2) + parsed_rd.cpt_inside.push ($1); + $$ = $1; + } + ; + +crossing_point_spec: + H INT + { $$ = parsed_rd.crossing_to_cpt ($2); } + | T INT + { $$ = parsed_rd.crossing_from_cpt ($2); } + ; + +inout: + IN + | OUT + ; + +%% + +void +yy::rd_parser::error (const yy::rd_parser::location_type &l, + const std::string &m) +{ + fprintf (stderr, "rd_parser: parse error.\n"); + exit (EXIT_FAILURE); +} + +void rd_scan_string (const char *s); + +resolution_diagram +parse_resolution_diagram (const char *s) +{ + rd_scan_string (s); + + resolution_diagram rd; + yy::rd_parser parser (rd); + parser.parse (); + + return rd; +} diff --git a/rd_parser/rd_scanner.cc b/rd_parser/rd_scanner.cc new file mode 100644 index 0000000..372c166 --- /dev/null +++ b/rd_parser/rd_scanner.cc @@ -0,0 +1,1768 @@ +#line 2 "rd_parser/rd_scanner.cc" + +#line 4 "rd_parser/rd_scanner.cc" + +#define YY_INT_ALIGNED short int + +/* A lexical scanner generated by flex */ + +#define yy_create_buffer rd_yy_create_buffer +#define yy_delete_buffer rd_yy_delete_buffer +#define yy_flex_debug rd_yy_flex_debug +#define yy_init_buffer rd_yy_init_buffer +#define yy_flush_buffer rd_yy_flush_buffer +#define yy_load_buffer_state rd_yy_load_buffer_state +#define yy_switch_to_buffer rd_yy_switch_to_buffer +#define yyin rd_yyin +#define yyleng rd_yyleng +#define yylex rd_yylex +#define yylineno rd_yylineno +#define yyout rd_yyout +#define yyrestart rd_yyrestart +#define yytext rd_yytext +#define yywrap rd_yywrap +#define yyalloc rd_yyalloc +#define yyrealloc rd_yyrealloc +#define yyfree rd_yyfree + +#define FLEX_SCANNER +#define YY_FLEX_MAJOR_VERSION 2 +#define YY_FLEX_MINOR_VERSION 5 +#define YY_FLEX_SUBMINOR_VERSION 35 +#if YY_FLEX_SUBMINOR_VERSION > 0 +#define FLEX_BETA +#endif + +/* First, we deal with platform-specific or compiler-specific issues. */ + +/* begin standard C headers. */ +#include +#include +#include +#include + +/* end standard C headers. */ + +/* flex integer type definitions */ + +#ifndef FLEXINT_H +#define FLEXINT_H + +/* C99 systems have . Non-C99 systems may or may not. */ + +#if defined (__STDC_VERSION__) && __STDC_VERSION__ >= 199901L + +/* C99 says to define __STDC_LIMIT_MACROS before including stdint.h, + * if you want the limit (max/min) macros for int types. + */ +#ifndef __STDC_LIMIT_MACROS +#define __STDC_LIMIT_MACROS 1 +#endif + +#include +typedef int8_t flex_int8_t; +typedef uint8_t flex_uint8_t; +typedef int16_t flex_int16_t; +typedef uint16_t flex_uint16_t; +typedef int32_t flex_int32_t; +typedef uint32_t flex_uint32_t; +#else +typedef signed char flex_int8_t; +typedef short int flex_int16_t; +typedef int flex_int32_t; +typedef unsigned char flex_uint8_t; +typedef unsigned short int flex_uint16_t; +typedef unsigned int flex_uint32_t; +#endif /* ! C99 */ + +/* Limits of integral types. */ +#ifndef INT8_MIN +#define INT8_MIN (-128) +#endif +#ifndef INT16_MIN +#define INT16_MIN (-32767-1) +#endif +#ifndef INT32_MIN +#define INT32_MIN (-2147483647-1) +#endif +#ifndef INT8_MAX +#define INT8_MAX (127) +#endif +#ifndef INT16_MAX +#define INT16_MAX (32767) +#endif +#ifndef INT32_MAX +#define INT32_MAX (2147483647) +#endif +#ifndef UINT8_MAX +#define UINT8_MAX (255U) +#endif +#ifndef UINT16_MAX +#define UINT16_MAX (65535U) +#endif +#ifndef UINT32_MAX +#define UINT32_MAX (4294967295U) +#endif + +#endif /* ! FLEXINT_H */ + +#ifdef __cplusplus + +/* The "const" storage-class-modifier is valid. */ +#define YY_USE_CONST + +#else /* ! __cplusplus */ + +/* C99 requires __STDC__ to be defined as 1. */ +#if defined (__STDC__) + +#define YY_USE_CONST + +#endif /* defined (__STDC__) */ +#endif /* ! __cplusplus */ + +#ifdef YY_USE_CONST +#define yyconst const +#else +#define yyconst +#endif + +/* Returned upon end-of-file. */ +#define YY_NULL 0 + +/* Promotes a possibly negative, possibly signed char to an unsigned + * integer for use as an array index. If the signed char is negative, + * we want to instead treat it as an 8-bit unsigned char, hence the + * double cast. + */ +#define YY_SC_TO_UI(c) ((unsigned int) (unsigned char) c) + +/* Enter a start condition. This macro really ought to take a parameter, + * but we do it the disgusting crufty way forced on us by the ()-less + * definition of BEGIN. + */ +#define BEGIN (yy_start) = 1 + 2 * + +/* Translate the current start state into a value that can be later handed + * to BEGIN to return to the state. The YYSTATE alias is for lex + * compatibility. + */ +#define YY_START (((yy_start) - 1) / 2) +#define YYSTATE YY_START + +/* Action number for EOF rule of a given start state. */ +#define YY_STATE_EOF(state) (YY_END_OF_BUFFER + state + 1) + +/* Special action meaning "start processing a new file". */ +#define YY_NEW_FILE rd_yyrestart(rd_yyin ) + +#define YY_END_OF_BUFFER_CHAR 0 + +/* Size of default input buffer. */ +#ifndef YY_BUF_SIZE +#define YY_BUF_SIZE 16384 +#endif + +/* The state buf must be large enough to hold one state per character in the main buffer. + */ +#define YY_STATE_BUF_SIZE ((YY_BUF_SIZE + 2) * sizeof(yy_state_type)) + +#ifndef YY_TYPEDEF_YY_BUFFER_STATE +#define YY_TYPEDEF_YY_BUFFER_STATE +typedef struct yy_buffer_state *YY_BUFFER_STATE; +#endif + +extern int rd_yyleng; + +extern FILE *rd_yyin, *rd_yyout; + +#define EOB_ACT_CONTINUE_SCAN 0 +#define EOB_ACT_END_OF_FILE 1 +#define EOB_ACT_LAST_MATCH 2 + + #define YY_LESS_LINENO(n) + +/* Return all but the first "n" matched characters back to the input stream. */ +#define yyless(n) \ + do \ + { \ + /* Undo effects of setting up rd_yytext. */ \ + int yyless_macro_arg = (n); \ + YY_LESS_LINENO(yyless_macro_arg);\ + *yy_cp = (yy_hold_char); \ + YY_RESTORE_YY_MORE_OFFSET \ + (yy_c_buf_p) = yy_cp = yy_bp + yyless_macro_arg - YY_MORE_ADJ; \ + YY_DO_BEFORE_ACTION; /* set up rd_yytext again */ \ + } \ + while ( 0 ) + +#define unput(c) yyunput( c, (yytext_ptr) ) + +#ifndef YY_TYPEDEF_YY_SIZE_T +#define YY_TYPEDEF_YY_SIZE_T +typedef size_t yy_size_t; +#endif + +#ifndef YY_STRUCT_YY_BUFFER_STATE +#define YY_STRUCT_YY_BUFFER_STATE +struct yy_buffer_state + { + FILE *yy_input_file; + + char *yy_ch_buf; /* input buffer */ + char *yy_buf_pos; /* current position in input buffer */ + + /* Size of input buffer in bytes, not including room for EOB + * characters. + */ + yy_size_t yy_buf_size; + + /* Number of characters read into yy_ch_buf, not including EOB + * characters. + */ + int yy_n_chars; + + /* Whether we "own" the buffer - i.e., we know we created it, + * and can realloc() it to grow it, and should free() it to + * delete it. + */ + int yy_is_our_buffer; + + /* Whether this is an "interactive" input source; if so, and + * if we're using stdio for input, then we want to use getc() + * instead of fread(), to make sure we stop fetching input after + * each newline. + */ + int yy_is_interactive; + + /* Whether we're considered to be at the beginning of a line. + * If so, '^' rules will be active on the next match, otherwise + * not. + */ + int yy_at_bol; + + int yy_bs_lineno; /**< The line count. */ + int yy_bs_column; /**< The column count. */ + + /* Whether to try to fill the input buffer when we reach the + * end of it. + */ + int yy_fill_buffer; + + int yy_buffer_status; + +#define YY_BUFFER_NEW 0 +#define YY_BUFFER_NORMAL 1 + /* When an EOF's been seen but there's still some text to process + * then we mark the buffer as YY_EOF_PENDING, to indicate that we + * shouldn't try reading from the input source any more. We might + * still have a bunch of tokens to match, though, because of + * possible backing-up. + * + * When we actually see the EOF, we change the status to "new" + * (via rd_yyrestart()), so that the user can continue scanning by + * just pointing rd_yyin at a new input file. + */ +#define YY_BUFFER_EOF_PENDING 2 + + }; +#endif /* !YY_STRUCT_YY_BUFFER_STATE */ + +/* Stack of input buffers. */ +static size_t yy_buffer_stack_top = 0; /**< index of top of stack. */ +static size_t yy_buffer_stack_max = 0; /**< capacity of stack. */ +static YY_BUFFER_STATE * yy_buffer_stack = 0; /**< Stack as an array. */ + +/* We provide macros for accessing buffer states in case in the + * future we want to put the buffer states in a more general + * "scanner state". + * + * Returns the top of the stack, or NULL. + */ +#define YY_CURRENT_BUFFER ( (yy_buffer_stack) \ + ? (yy_buffer_stack)[(yy_buffer_stack_top)] \ + : NULL) + +/* Same as previous macro, but useful when we know that the buffer stack is not + * NULL or when we need an lvalue. For internal use only. + */ +#define YY_CURRENT_BUFFER_LVALUE (yy_buffer_stack)[(yy_buffer_stack_top)] + +/* yy_hold_char holds the character lost when rd_yytext is formed. */ +static char yy_hold_char; +static int yy_n_chars; /* number of characters read into yy_ch_buf */ +int rd_yyleng; + +/* Points to current character in buffer. */ +static char *yy_c_buf_p = (char *) 0; +static int yy_init = 0; /* whether we need to initialize */ +static int yy_start = 0; /* start state number */ + +/* Flag which is used to allow rd_yywrap()'s to do buffer switches + * instead of setting up a fresh rd_yyin. A bit of a hack ... + */ +static int yy_did_buffer_switch_on_eof; + +void rd_yyrestart (FILE *input_file ); +void rd_yy_switch_to_buffer (YY_BUFFER_STATE new_buffer ); +YY_BUFFER_STATE rd_yy_create_buffer (FILE *file,int size ); +void rd_yy_delete_buffer (YY_BUFFER_STATE b ); +void rd_yy_flush_buffer (YY_BUFFER_STATE b ); +void rd_yypush_buffer_state (YY_BUFFER_STATE new_buffer ); +void rd_yypop_buffer_state (void ); + +static void rd_yyensure_buffer_stack (void ); +static void rd_yy_load_buffer_state (void ); +static void rd_yy_init_buffer (YY_BUFFER_STATE b,FILE *file ); + +#define YY_FLUSH_BUFFER rd_yy_flush_buffer(YY_CURRENT_BUFFER ) + +YY_BUFFER_STATE rd_yy_scan_buffer (char *base,yy_size_t size ); +YY_BUFFER_STATE rd_yy_scan_string (yyconst char *yy_str ); +YY_BUFFER_STATE rd_yy_scan_bytes (yyconst char *bytes,int len ); + +void *rd_yyalloc (yy_size_t ); +void *rd_yyrealloc (void *,yy_size_t ); +void rd_yyfree (void * ); + +#define yy_new_buffer rd_yy_create_buffer + +#define yy_set_interactive(is_interactive) \ + { \ + if ( ! YY_CURRENT_BUFFER ){ \ + rd_yyensure_buffer_stack (); \ + YY_CURRENT_BUFFER_LVALUE = \ + rd_yy_create_buffer(rd_yyin,YY_BUF_SIZE ); \ + } \ + YY_CURRENT_BUFFER_LVALUE->yy_is_interactive = is_interactive; \ + } + +#define yy_set_bol(at_bol) \ + { \ + if ( ! YY_CURRENT_BUFFER ){\ + rd_yyensure_buffer_stack (); \ + YY_CURRENT_BUFFER_LVALUE = \ + rd_yy_create_buffer(rd_yyin,YY_BUF_SIZE ); \ + } \ + YY_CURRENT_BUFFER_LVALUE->yy_at_bol = at_bol; \ + } + +#define YY_AT_BOL() (YY_CURRENT_BUFFER_LVALUE->yy_at_bol) + +/* Begin user sect3 */ + +#define rd_yywrap(n) 1 +#define YY_SKIP_YYWRAP + +typedef unsigned char YY_CHAR; + +FILE *rd_yyin = (FILE *) 0, *rd_yyout = (FILE *) 0; + +typedef int yy_state_type; + +extern int rd_yylineno; + +int rd_yylineno = 1; + +extern char *rd_yytext; +#define yytext_ptr rd_yytext + +static yy_state_type yy_get_previous_state (void ); +static yy_state_type yy_try_NUL_trans (yy_state_type current_state ); +static int yy_get_next_buffer (void ); +static void yy_fatal_error (yyconst char msg[] ); + +/* Done after the current pattern has been matched and before the + * corresponding action - sets up rd_yytext. + */ +#define YY_DO_BEFORE_ACTION \ + (yytext_ptr) = yy_bp; \ + rd_yyleng = (size_t) (yy_cp - yy_bp); \ + (yy_hold_char) = *yy_cp; \ + *yy_cp = '\0'; \ + (yy_c_buf_p) = yy_cp; + +#define YY_NUM_RULES 5 +#define YY_END_OF_BUFFER 6 +/* This struct is not used in this scanner, + but its presence is necessary. */ +struct yy_trans_info + { + flex_int32_t yy_verify; + flex_int32_t yy_nxt; + }; +static yyconst flex_int16_t yy_accept[13] = + { 0, + 0, 0, 6, 4, 3, 3, 4, 1, 2, 1, + 2, 0 + } ; + +static yyconst flex_int32_t yy_ec[256] = + { 0, + 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, + 1, 1, 2, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 2, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 4, 1, 1, 5, 5, 5, + 5, 5, 5, 5, 5, 5, 5, 1, 1, 1, + 1, 1, 1, 1, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, + 1, 1, 1, 1, 1, 1, 6, 6, 6, 6, + + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, + 6, 6, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, + 1, 1, 1, 1, 1 + } ; + +static yyconst flex_int32_t yy_meta[7] = + { 0, + 1, 1, 1, 1, 2, 3 + } ; + +static yyconst flex_int16_t yy_base[15] = + { 0, + 0, 0, 9, 10, 10, 10, 0, 0, 0, 0, + 0, 10, 6, 4 + } ; + +static yyconst flex_int16_t yy_def[15] = + { 0, + 12, 1, 12, 12, 12, 12, 13, 13, 14, 13, + 14, 0, 12, 12 + } ; + +static yyconst flex_int16_t yy_nxt[17] = + { 0, + 4, 5, 6, 7, 8, 9, 11, 10, 12, 3, + 12, 12, 12, 12, 12, 12 + } ; + +static yyconst flex_int16_t yy_chk[17] = + { 0, + 1, 1, 1, 1, 1, 1, 14, 13, 3, 12, + 12, 12, 12, 12, 12, 12 + } ; + +static yy_state_type yy_last_accepting_state; +static char *yy_last_accepting_cpos; + +extern int rd_yy_flex_debug; +int rd_yy_flex_debug = 0; + +/* The intent behind this definition is that it'll catch + * any uses of REJECT which flex missed. + */ +#define REJECT reject_used_but_not_detected +#define yymore() yymore_used_but_not_detected +#define YY_MORE_ADJ 0 +#define YY_RESTORE_YY_MORE_OFFSET +char *rd_yytext; +#line 1 "rd_parser/rd_scanner.ll" +#line 3 "rd_parser/rd_scanner.ll" +#include "rd_parser.hh" + +#define YY_DECL \ + yy::rd_parser::token_type rd_yylex (yy::rd_parser::semantic_type *yylval) + +#define yyterminate() return token::END + +typedef yy::rd_parser::token token; +typedef yy::rd_parser::token_type token_type; +#line 487 "rd_parser/rd_scanner.cc" + +#define INITIAL 0 + +#ifndef YY_NO_UNISTD_H +/* Special case for "unistd.h", since it is non-ANSI. We include it way + * down here because we want the user's section 1 to have been scanned first. + * The user has a chance to override it with an option. + */ +#include +#endif + +#ifndef YY_EXTRA_TYPE +#define YY_EXTRA_TYPE void * +#endif + +static int yy_init_globals (void ); + +/* Accessor methods to globals. + These are made visible to non-reentrant scanners for convenience. */ + +int rd_yylex_destroy (void ); + +int rd_yyget_debug (void ); + +void rd_yyset_debug (int debug_flag ); + +YY_EXTRA_TYPE rd_yyget_extra (void ); + +void rd_yyset_extra (YY_EXTRA_TYPE user_defined ); + +FILE *rd_yyget_in (void ); + +void rd_yyset_in (FILE * in_str ); + +FILE *rd_yyget_out (void ); + +void rd_yyset_out (FILE * out_str ); + +int rd_yyget_leng (void ); + +char *rd_yyget_text (void ); + +int rd_yyget_lineno (void ); + +void rd_yyset_lineno (int line_number ); + +/* Macros after this point can all be overridden by user definitions in + * section 1. + */ + +#ifndef YY_SKIP_YYWRAP +#ifdef __cplusplus +extern "C" int rd_yywrap (void ); +#else +extern int rd_yywrap (void ); +#endif +#endif + +#ifndef yytext_ptr +static void yy_flex_strncpy (char *,yyconst char *,int ); +#endif + +#ifdef YY_NEED_STRLEN +static int yy_flex_strlen (yyconst char * ); +#endif + +#ifndef YY_NO_INPUT + +#ifdef __cplusplus +static int yyinput (void ); +#else +static int input (void ); +#endif + +#endif + +/* Amount of stuff to slurp up with each read. */ +#ifndef YY_READ_BUF_SIZE +#define YY_READ_BUF_SIZE 8192 +#endif + +/* Copy whatever the last rule matched to the standard output. */ +#ifndef ECHO +/* This used to be an fputs(), but since the string might contain NUL's, + * we now use fwrite(). + */ +#define ECHO fwrite( rd_yytext, rd_yyleng, 1, rd_yyout ) +#endif + +/* Gets input and stuffs it into "buf". number of characters read, or YY_NULL, + * is returned in "result". + */ +#ifndef YY_INPUT +#define YY_INPUT(buf,result,max_size) \ + if ( YY_CURRENT_BUFFER_LVALUE->yy_is_interactive ) \ + { \ + int c = '*'; \ + int n; \ + for ( n = 0; n < max_size && \ + (c = getc( rd_yyin )) != EOF && c != '\n'; ++n ) \ + buf[n] = (char) c; \ + if ( c == '\n' ) \ + buf[n++] = (char) c; \ + if ( c == EOF && ferror( rd_yyin ) ) \ + YY_FATAL_ERROR( "input in flex scanner failed" ); \ + result = n; \ + } \ + else \ + { \ + errno=0; \ + while ( (result = fread(buf, 1, max_size, rd_yyin))==0 && ferror(rd_yyin)) \ + { \ + if( errno != EINTR) \ + { \ + YY_FATAL_ERROR( "input in flex scanner failed" ); \ + break; \ + } \ + errno=0; \ + clearerr(rd_yyin); \ + } \ + }\ +\ + +#endif + +/* No semi-colon after return; correct usage is to write "yyterminate();" - + * we don't want an extra ';' after the "return" because that will cause + * some compilers to complain about unreachable statements. + */ +#ifndef yyterminate +#define yyterminate() return YY_NULL +#endif + +/* Number of entries by which start-condition stack grows. */ +#ifndef YY_START_STACK_INCR +#define YY_START_STACK_INCR 25 +#endif + +/* Report a fatal error. */ +#ifndef YY_FATAL_ERROR +#define YY_FATAL_ERROR(msg) yy_fatal_error( msg ) +#endif + +/* end tables serialization structures and prototypes */ + +/* Default declaration of generated scanner - a define so the user can + * easily add parameters. + */ +#ifndef YY_DECL +#define YY_DECL_IS_OURS 1 + +extern int rd_yylex (void); + +#define YY_DECL int rd_yylex (void) +#endif /* !YY_DECL */ + +/* Code executed at the beginning of each rule, after rd_yytext and rd_yyleng + * have been set up. + */ +#ifndef YY_USER_ACTION +#define YY_USER_ACTION +#endif + +/* Code executed at the end of each rule. */ +#ifndef YY_BREAK +#define YY_BREAK break; +#endif + +#define YY_RULE_SETUP \ + YY_USER_ACTION + +/** The main scanner function which does all the work. + */ +YY_DECL +{ + register yy_state_type yy_current_state; + register char *yy_cp, *yy_bp; + register int yy_act; + +#line 16 "rd_parser/rd_scanner.ll" + + +#line 670 "rd_parser/rd_scanner.cc" + + if ( !(yy_init) ) + { + (yy_init) = 1; + +#ifdef YY_USER_INIT + YY_USER_INIT; +#endif + + if ( ! (yy_start) ) + (yy_start) = 1; /* first start state */ + + if ( ! rd_yyin ) + rd_yyin = stdin; + + if ( ! rd_yyout ) + rd_yyout = stdout; + + if ( ! YY_CURRENT_BUFFER ) { + rd_yyensure_buffer_stack (); + YY_CURRENT_BUFFER_LVALUE = + rd_yy_create_buffer(rd_yyin,YY_BUF_SIZE ); + } + + rd_yy_load_buffer_state( ); + } + + while ( 1 ) /* loops until end-of-file is reached */ + { + yy_cp = (yy_c_buf_p); + + /* Support of rd_yytext. */ + *yy_cp = (yy_hold_char); + + /* yy_bp points to the position in yy_ch_buf of the start of + * the current run. + */ + yy_bp = yy_cp; + + yy_current_state = (yy_start); +yy_match: + do + { + register YY_CHAR yy_c = yy_ec[YY_SC_TO_UI(*yy_cp)]; + if ( yy_accept[yy_current_state] ) + { + (yy_last_accepting_state) = yy_current_state; + (yy_last_accepting_cpos) = yy_cp; + } + while ( yy_chk[yy_base[yy_current_state] + yy_c] != yy_current_state ) + { + yy_current_state = (int) yy_def[yy_current_state]; + if ( yy_current_state >= 13 ) + yy_c = yy_meta[(unsigned int) yy_c]; + } + yy_current_state = yy_nxt[yy_base[yy_current_state] + (unsigned int) yy_c]; + ++yy_cp; + } + while ( yy_current_state != 12 ); + yy_cp = (yy_last_accepting_cpos); + yy_current_state = (yy_last_accepting_state); + +yy_find_action: + yy_act = yy_accept[yy_current_state]; + + YY_DO_BEFORE_ACTION; + +do_action: /* This label is used only to access EOF actions. */ + + switch ( yy_act ) + { /* beginning of action switch */ + case 0: /* must back up */ + /* undo the effects of YY_DO_BEFORE_ACTION */ + *yy_cp = (yy_hold_char); + yy_cp = (yy_last_accepting_cpos); + yy_current_state = (yy_last_accepting_state); + goto yy_find_action; + +case 1: +YY_RULE_SETUP +#line 18 "rd_parser/rd_scanner.ll" +{ + yylval->integer = atoi (rd_yytext); + return token::INT; + } + YY_BREAK +case 2: +YY_RULE_SETUP +#line 23 "rd_parser/rd_scanner.ll" +{ + if (!strcmp (rd_yytext, "h")) + return token::H; + else if (!strcmp (rd_yytext, "t")) + return token::T; + else if (!strcmp (rd_yytext, "in")) + { + yylval->inside = 1; + return token::IN; + } + else if (!strcmp (rd_yytext, "out")) + { + yylval->inside = 0; + return token::OUT; + } + else + { + fprintf (stderr, "rd_parser: unknown identifier `%s'\n", rd_yytext); + exit (EXIT_FAILURE); + } +} + YY_BREAK +case 3: +/* rule 3 can match eol */ +YY_RULE_SETUP +#line 45 "rd_parser/rd_scanner.ll" +/* ignore */ + YY_BREAK +case 4: +YY_RULE_SETUP +#line 47 "rd_parser/rd_scanner.ll" +{ return token_type (rd_yytext[0]); } + YY_BREAK +case 5: +YY_RULE_SETUP +#line 49 "rd_parser/rd_scanner.ll" +ECHO; + YY_BREAK +#line 798 "rd_parser/rd_scanner.cc" +case YY_STATE_EOF(INITIAL): + yyterminate(); + + case YY_END_OF_BUFFER: + { + /* Amount of text matched not including the EOB char. */ + int yy_amount_of_matched_text = (int) (yy_cp - (yytext_ptr)) - 1; + + /* Undo the effects of YY_DO_BEFORE_ACTION. */ + *yy_cp = (yy_hold_char); + YY_RESTORE_YY_MORE_OFFSET + + if ( YY_CURRENT_BUFFER_LVALUE->yy_buffer_status == YY_BUFFER_NEW ) + { + /* We're scanning a new file or input source. It's + * possible that this happened because the user + * just pointed rd_yyin at a new source and called + * rd_yylex(). If so, then we have to assure + * consistency between YY_CURRENT_BUFFER and our + * globals. Here is the right place to do so, because + * this is the first action (other than possibly a + * back-up) that will match for the new input source. + */ + (yy_n_chars) = YY_CURRENT_BUFFER_LVALUE->yy_n_chars; + YY_CURRENT_BUFFER_LVALUE->yy_input_file = rd_yyin; + YY_CURRENT_BUFFER_LVALUE->yy_buffer_status = YY_BUFFER_NORMAL; + } + + /* Note that here we test for yy_c_buf_p "<=" to the position + * of the first EOB in the buffer, since yy_c_buf_p will + * already have been incremented past the NUL character + * (since all states make transitions on EOB to the + * end-of-buffer state). Contrast this with the test + * in input(). + */ + if ( (yy_c_buf_p) <= &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars)] ) + { /* This was really a NUL. */ + yy_state_type yy_next_state; + + (yy_c_buf_p) = (yytext_ptr) + yy_amount_of_matched_text; + + yy_current_state = yy_get_previous_state( ); + + /* Okay, we're now positioned to make the NUL + * transition. We couldn't have + * yy_get_previous_state() go ahead and do it + * for us because it doesn't know how to deal + * with the possibility of jamming (and we don't + * want to build jamming into it because then it + * will run more slowly). + */ + + yy_next_state = yy_try_NUL_trans( yy_current_state ); + + yy_bp = (yytext_ptr) + YY_MORE_ADJ; + + if ( yy_next_state ) + { + /* Consume the NUL. */ + yy_cp = ++(yy_c_buf_p); + yy_current_state = yy_next_state; + goto yy_match; + } + + else + { + yy_cp = (yy_last_accepting_cpos); + yy_current_state = (yy_last_accepting_state); + goto yy_find_action; + } + } + + else switch ( yy_get_next_buffer( ) ) + { + case EOB_ACT_END_OF_FILE: + { + (yy_did_buffer_switch_on_eof) = 0; + + if ( rd_yywrap( ) ) + { + /* Note: because we've taken care in + * yy_get_next_buffer() to have set up + * rd_yytext, we can now set up + * yy_c_buf_p so that if some total + * hoser (like flex itself) wants to + * call the scanner after we return the + * YY_NULL, it'll still work - another + * YY_NULL will get returned. + */ + (yy_c_buf_p) = (yytext_ptr) + YY_MORE_ADJ; + + yy_act = YY_STATE_EOF(YY_START); + goto do_action; + } + + else + { + if ( ! (yy_did_buffer_switch_on_eof) ) + YY_NEW_FILE; + } + break; + } + + case EOB_ACT_CONTINUE_SCAN: + (yy_c_buf_p) = + (yytext_ptr) + yy_amount_of_matched_text; + + yy_current_state = yy_get_previous_state( ); + + yy_cp = (yy_c_buf_p); + yy_bp = (yytext_ptr) + YY_MORE_ADJ; + goto yy_match; + + case EOB_ACT_LAST_MATCH: + (yy_c_buf_p) = + &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars)]; + + yy_current_state = yy_get_previous_state( ); + + yy_cp = (yy_c_buf_p); + yy_bp = (yytext_ptr) + YY_MORE_ADJ; + goto yy_find_action; + } + break; + } + + default: + YY_FATAL_ERROR( + "fatal flex scanner internal error--no action found" ); + } /* end of action switch */ + } /* end of scanning one token */ +} /* end of rd_yylex */ + +/* yy_get_next_buffer - try to read in a new buffer + * + * Returns a code representing an action: + * EOB_ACT_LAST_MATCH - + * EOB_ACT_CONTINUE_SCAN - continue scanning from current position + * EOB_ACT_END_OF_FILE - end of file + */ +static int yy_get_next_buffer (void) +{ + register char *dest = YY_CURRENT_BUFFER_LVALUE->yy_ch_buf; + register char *source = (yytext_ptr); + register int number_to_move, i; + int ret_val; + + if ( (yy_c_buf_p) > &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars) + 1] ) + YY_FATAL_ERROR( + "fatal flex scanner internal error--end of buffer missed" ); + + if ( YY_CURRENT_BUFFER_LVALUE->yy_fill_buffer == 0 ) + { /* Don't try to fill the buffer, so this is an EOF. */ + if ( (yy_c_buf_p) - (yytext_ptr) - YY_MORE_ADJ == 1 ) + { + /* We matched a single character, the EOB, so + * treat this as a final EOF. + */ + return EOB_ACT_END_OF_FILE; + } + + else + { + /* We matched some text prior to the EOB, first + * process it. + */ + return EOB_ACT_LAST_MATCH; + } + } + + /* Try to read more data. */ + + /* First move last chars to start of buffer. */ + number_to_move = (int) ((yy_c_buf_p) - (yytext_ptr)) - 1; + + for ( i = 0; i < number_to_move; ++i ) + *(dest++) = *(source++); + + if ( YY_CURRENT_BUFFER_LVALUE->yy_buffer_status == YY_BUFFER_EOF_PENDING ) + /* don't do the read, it's not guaranteed to return an EOF, + * just force an EOF + */ + YY_CURRENT_BUFFER_LVALUE->yy_n_chars = (yy_n_chars) = 0; + + else + { + int num_to_read = + YY_CURRENT_BUFFER_LVALUE->yy_buf_size - number_to_move - 1; + + while ( num_to_read <= 0 ) + { /* Not enough room in the buffer - grow it. */ + + /* just a shorter name for the current buffer */ + YY_BUFFER_STATE b = YY_CURRENT_BUFFER; + + int yy_c_buf_p_offset = + (int) ((yy_c_buf_p) - b->yy_ch_buf); + + if ( b->yy_is_our_buffer ) + { + int new_size = b->yy_buf_size * 2; + + if ( new_size <= 0 ) + b->yy_buf_size += b->yy_buf_size / 8; + else + b->yy_buf_size *= 2; + + b->yy_ch_buf = (char *) + /* Include room in for 2 EOB chars. */ + rd_yyrealloc((void *) b->yy_ch_buf,b->yy_buf_size + 2 ); + } + else + /* Can't grow it, we don't own it. */ + b->yy_ch_buf = 0; + + if ( ! b->yy_ch_buf ) + YY_FATAL_ERROR( + "fatal error - scanner input buffer overflow" ); + + (yy_c_buf_p) = &b->yy_ch_buf[yy_c_buf_p_offset]; + + num_to_read = YY_CURRENT_BUFFER_LVALUE->yy_buf_size - + number_to_move - 1; + + } + + if ( num_to_read > YY_READ_BUF_SIZE ) + num_to_read = YY_READ_BUF_SIZE; + + /* Read in more data. */ + YY_INPUT( (&YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[number_to_move]), + (yy_n_chars), (size_t) num_to_read ); + + YY_CURRENT_BUFFER_LVALUE->yy_n_chars = (yy_n_chars); + } + + if ( (yy_n_chars) == 0 ) + { + if ( number_to_move == YY_MORE_ADJ ) + { + ret_val = EOB_ACT_END_OF_FILE; + rd_yyrestart(rd_yyin ); + } + + else + { + ret_val = EOB_ACT_LAST_MATCH; + YY_CURRENT_BUFFER_LVALUE->yy_buffer_status = + YY_BUFFER_EOF_PENDING; + } + } + + else + ret_val = EOB_ACT_CONTINUE_SCAN; + + if ((yy_size_t) ((yy_n_chars) + number_to_move) > YY_CURRENT_BUFFER_LVALUE->yy_buf_size) { + /* Extend the array by 50%, plus the number we really need. */ + yy_size_t new_size = (yy_n_chars) + number_to_move + ((yy_n_chars) >> 1); + YY_CURRENT_BUFFER_LVALUE->yy_ch_buf = (char *) rd_yyrealloc((void *) YY_CURRENT_BUFFER_LVALUE->yy_ch_buf,new_size ); + if ( ! YY_CURRENT_BUFFER_LVALUE->yy_ch_buf ) + YY_FATAL_ERROR( "out of dynamic memory in yy_get_next_buffer()" ); + } + + (yy_n_chars) += number_to_move; + YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars)] = YY_END_OF_BUFFER_CHAR; + YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars) + 1] = YY_END_OF_BUFFER_CHAR; + + (yytext_ptr) = &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[0]; + + return ret_val; +} + +/* yy_get_previous_state - get the state just before the EOB char was reached */ + + static yy_state_type yy_get_previous_state (void) +{ + register yy_state_type yy_current_state; + register char *yy_cp; + + yy_current_state = (yy_start); + + for ( yy_cp = (yytext_ptr) + YY_MORE_ADJ; yy_cp < (yy_c_buf_p); ++yy_cp ) + { + register YY_CHAR yy_c = (*yy_cp ? yy_ec[YY_SC_TO_UI(*yy_cp)] : 1); + if ( yy_accept[yy_current_state] ) + { + (yy_last_accepting_state) = yy_current_state; + (yy_last_accepting_cpos) = yy_cp; + } + while ( yy_chk[yy_base[yy_current_state] + yy_c] != yy_current_state ) + { + yy_current_state = (int) yy_def[yy_current_state]; + if ( yy_current_state >= 13 ) + yy_c = yy_meta[(unsigned int) yy_c]; + } + yy_current_state = yy_nxt[yy_base[yy_current_state] + (unsigned int) yy_c]; + } + + return yy_current_state; +} + +/* yy_try_NUL_trans - try to make a transition on the NUL character + * + * synopsis + * next_state = yy_try_NUL_trans( current_state ); + */ + static yy_state_type yy_try_NUL_trans (yy_state_type yy_current_state ) +{ + register int yy_is_jam; + register char *yy_cp = (yy_c_buf_p); + + register YY_CHAR yy_c = 1; + if ( yy_accept[yy_current_state] ) + { + (yy_last_accepting_state) = yy_current_state; + (yy_last_accepting_cpos) = yy_cp; + } + while ( yy_chk[yy_base[yy_current_state] + yy_c] != yy_current_state ) + { + yy_current_state = (int) yy_def[yy_current_state]; + if ( yy_current_state >= 13 ) + yy_c = yy_meta[(unsigned int) yy_c]; + } + yy_current_state = yy_nxt[yy_base[yy_current_state] + (unsigned int) yy_c]; + yy_is_jam = (yy_current_state == 12); + + return yy_is_jam ? 0 : yy_current_state; +} + +#ifndef YY_NO_INPUT +#ifdef __cplusplus + static int yyinput (void) +#else + static int input (void) +#endif + +{ + int c; + + *(yy_c_buf_p) = (yy_hold_char); + + if ( *(yy_c_buf_p) == YY_END_OF_BUFFER_CHAR ) + { + /* yy_c_buf_p now points to the character we want to return. + * If this occurs *before* the EOB characters, then it's a + * valid NUL; if not, then we've hit the end of the buffer. + */ + if ( (yy_c_buf_p) < &YY_CURRENT_BUFFER_LVALUE->yy_ch_buf[(yy_n_chars)] ) + /* This was really a NUL. */ + *(yy_c_buf_p) = '\0'; + + else + { /* need more input */ + int offset = (yy_c_buf_p) - (yytext_ptr); + ++(yy_c_buf_p); + + switch ( yy_get_next_buffer( ) ) + { + case EOB_ACT_LAST_MATCH: + /* This happens because yy_g_n_b() + * sees that we've accumulated a + * token and flags that we need to + * try matching the token before + * proceeding. But for input(), + * there's no matching to consider. + * So convert the EOB_ACT_LAST_MATCH + * to EOB_ACT_END_OF_FILE. + */ + + /* Reset buffer status. */ + rd_yyrestart(rd_yyin ); + + /*FALLTHROUGH*/ + + case EOB_ACT_END_OF_FILE: + { + if ( rd_yywrap( ) ) + return EOF; + + if ( ! (yy_did_buffer_switch_on_eof) ) + YY_NEW_FILE; +#ifdef __cplusplus + return yyinput(); +#else + return input(); +#endif + } + + case EOB_ACT_CONTINUE_SCAN: + (yy_c_buf_p) = (yytext_ptr) + offset; + break; + } + } + } + + c = *(unsigned char *) (yy_c_buf_p); /* cast for 8-bit char's */ + *(yy_c_buf_p) = '\0'; /* preserve rd_yytext */ + (yy_hold_char) = *++(yy_c_buf_p); + + return c; +} +#endif /* ifndef YY_NO_INPUT */ + +/** Immediately switch to a different input stream. + * @param input_file A readable stream. + * + * @note This function does not reset the start condition to @c INITIAL . + */ + void rd_yyrestart (FILE * input_file ) +{ + + if ( ! YY_CURRENT_BUFFER ){ + rd_yyensure_buffer_stack (); + YY_CURRENT_BUFFER_LVALUE = + rd_yy_create_buffer(rd_yyin,YY_BUF_SIZE ); + } + + rd_yy_init_buffer(YY_CURRENT_BUFFER,input_file ); + rd_yy_load_buffer_state( ); +} + +/** Switch to a different input buffer. + * @param new_buffer The new input buffer. + * + */ + void rd_yy_switch_to_buffer (YY_BUFFER_STATE new_buffer ) +{ + + /* TODO. We should be able to replace this entire function body + * with + * rd_yypop_buffer_state(); + * rd_yypush_buffer_state(new_buffer); + */ + rd_yyensure_buffer_stack (); + if ( YY_CURRENT_BUFFER == new_buffer ) + return; + + if ( YY_CURRENT_BUFFER ) + { + /* Flush out information for old buffer. */ + *(yy_c_buf_p) = (yy_hold_char); + YY_CURRENT_BUFFER_LVALUE->yy_buf_pos = (yy_c_buf_p); + YY_CURRENT_BUFFER_LVALUE->yy_n_chars = (yy_n_chars); + } + + YY_CURRENT_BUFFER_LVALUE = new_buffer; + rd_yy_load_buffer_state( ); + + /* We don't actually know whether we did this switch during + * EOF (rd_yywrap()) processing, but the only time this flag + * is looked at is after rd_yywrap() is called, so it's safe + * to go ahead and always set it. + */ + (yy_did_buffer_switch_on_eof) = 1; +} + +static void rd_yy_load_buffer_state (void) +{ + (yy_n_chars) = YY_CURRENT_BUFFER_LVALUE->yy_n_chars; + (yytext_ptr) = (yy_c_buf_p) = YY_CURRENT_BUFFER_LVALUE->yy_buf_pos; + rd_yyin = YY_CURRENT_BUFFER_LVALUE->yy_input_file; + (yy_hold_char) = *(yy_c_buf_p); +} + +/** Allocate and initialize an input buffer state. + * @param file A readable stream. + * @param size The character buffer size in bytes. When in doubt, use @c YY_BUF_SIZE. + * + * @return the allocated buffer state. + */ + YY_BUFFER_STATE rd_yy_create_buffer (FILE * file, int size ) +{ + YY_BUFFER_STATE b; + + b = (YY_BUFFER_STATE) rd_yyalloc(sizeof( struct yy_buffer_state ) ); + if ( ! b ) + YY_FATAL_ERROR( "out of dynamic memory in rd_yy_create_buffer()" ); + + b->yy_buf_size = size; + + /* yy_ch_buf has to be 2 characters longer than the size given because + * we need to put in 2 end-of-buffer characters. + */ + b->yy_ch_buf = (char *) rd_yyalloc(b->yy_buf_size + 2 ); + if ( ! b->yy_ch_buf ) + YY_FATAL_ERROR( "out of dynamic memory in rd_yy_create_buffer()" ); + + b->yy_is_our_buffer = 1; + + rd_yy_init_buffer(b,file ); + + return b; +} + +/** Destroy the buffer. + * @param b a buffer created with rd_yy_create_buffer() + * + */ + void rd_yy_delete_buffer (YY_BUFFER_STATE b ) +{ + + if ( ! b ) + return; + + if ( b == YY_CURRENT_BUFFER ) /* Not sure if we should pop here. */ + YY_CURRENT_BUFFER_LVALUE = (YY_BUFFER_STATE) 0; + + if ( b->yy_is_our_buffer ) + rd_yyfree((void *) b->yy_ch_buf ); + + rd_yyfree((void *) b ); +} + +#ifndef __cplusplus +extern int isatty (int ); +#endif /* __cplusplus */ + +/* Initializes or reinitializes a buffer. + * This function is sometimes called more than once on the same buffer, + * such as during a rd_yyrestart() or at EOF. + */ + static void rd_yy_init_buffer (YY_BUFFER_STATE b, FILE * file ) + +{ + int oerrno = errno; + + rd_yy_flush_buffer(b ); + + b->yy_input_file = file; + b->yy_fill_buffer = 1; + + /* If b is the current buffer, then rd_yy_init_buffer was _probably_ + * called from rd_yyrestart() or through yy_get_next_buffer. + * In that case, we don't want to reset the lineno or column. + */ + if (b != YY_CURRENT_BUFFER){ + b->yy_bs_lineno = 1; + b->yy_bs_column = 0; + } + + b->yy_is_interactive = file ? (isatty( fileno(file) ) > 0) : 0; + + errno = oerrno; +} + +/** Discard all buffered characters. On the next scan, YY_INPUT will be called. + * @param b the buffer state to be flushed, usually @c YY_CURRENT_BUFFER. + * + */ + void rd_yy_flush_buffer (YY_BUFFER_STATE b ) +{ + if ( ! b ) + return; + + b->yy_n_chars = 0; + + /* We always need two end-of-buffer characters. The first causes + * a transition to the end-of-buffer state. The second causes + * a jam in that state. + */ + b->yy_ch_buf[0] = YY_END_OF_BUFFER_CHAR; + b->yy_ch_buf[1] = YY_END_OF_BUFFER_CHAR; + + b->yy_buf_pos = &b->yy_ch_buf[0]; + + b->yy_at_bol = 1; + b->yy_buffer_status = YY_BUFFER_NEW; + + if ( b == YY_CURRENT_BUFFER ) + rd_yy_load_buffer_state( ); +} + +/** Pushes the new state onto the stack. The new state becomes + * the current state. This function will allocate the stack + * if necessary. + * @param new_buffer The new state. + * + */ +void rd_yypush_buffer_state (YY_BUFFER_STATE new_buffer ) +{ + if (new_buffer == NULL) + return; + + rd_yyensure_buffer_stack(); + + /* This block is copied from rd_yy_switch_to_buffer. */ + if ( YY_CURRENT_BUFFER ) + { + /* Flush out information for old buffer. */ + *(yy_c_buf_p) = (yy_hold_char); + YY_CURRENT_BUFFER_LVALUE->yy_buf_pos = (yy_c_buf_p); + YY_CURRENT_BUFFER_LVALUE->yy_n_chars = (yy_n_chars); + } + + /* Only push if top exists. Otherwise, replace top. */ + if (YY_CURRENT_BUFFER) + (yy_buffer_stack_top)++; + YY_CURRENT_BUFFER_LVALUE = new_buffer; + + /* copied from rd_yy_switch_to_buffer. */ + rd_yy_load_buffer_state( ); + (yy_did_buffer_switch_on_eof) = 1; +} + +/** Removes and deletes the top of the stack, if present. + * The next element becomes the new top. + * + */ +void rd_yypop_buffer_state (void) +{ + if (!YY_CURRENT_BUFFER) + return; + + rd_yy_delete_buffer(YY_CURRENT_BUFFER ); + YY_CURRENT_BUFFER_LVALUE = NULL; + if ((yy_buffer_stack_top) > 0) + --(yy_buffer_stack_top); + + if (YY_CURRENT_BUFFER) { + rd_yy_load_buffer_state( ); + (yy_did_buffer_switch_on_eof) = 1; + } +} + +/* Allocates the stack if it does not exist. + * Guarantees space for at least one push. + */ +static void rd_yyensure_buffer_stack (void) +{ + int num_to_alloc; + + if (!(yy_buffer_stack)) { + + /* First allocation is just for 2 elements, since we don't know if this + * scanner will even need a stack. We use 2 instead of 1 to avoid an + * immediate realloc on the next call. + */ + num_to_alloc = 1; + (yy_buffer_stack) = (struct yy_buffer_state**)rd_yyalloc + (num_to_alloc * sizeof(struct yy_buffer_state*) + ); + if ( ! (yy_buffer_stack) ) + YY_FATAL_ERROR( "out of dynamic memory in rd_yyensure_buffer_stack()" ); + + memset((yy_buffer_stack), 0, num_to_alloc * sizeof(struct yy_buffer_state*)); + + (yy_buffer_stack_max) = num_to_alloc; + (yy_buffer_stack_top) = 0; + return; + } + + if ((yy_buffer_stack_top) >= ((yy_buffer_stack_max)) - 1){ + + /* Increase the buffer to prepare for a possible push. */ + int grow_size = 8 /* arbitrary grow size */; + + num_to_alloc = (yy_buffer_stack_max) + grow_size; + (yy_buffer_stack) = (struct yy_buffer_state**)rd_yyrealloc + ((yy_buffer_stack), + num_to_alloc * sizeof(struct yy_buffer_state*) + ); + if ( ! (yy_buffer_stack) ) + YY_FATAL_ERROR( "out of dynamic memory in rd_yyensure_buffer_stack()" ); + + /* zero only the new slots.*/ + memset((yy_buffer_stack) + (yy_buffer_stack_max), 0, grow_size * sizeof(struct yy_buffer_state*)); + (yy_buffer_stack_max) = num_to_alloc; + } +} + +/** Setup the input buffer state to scan directly from a user-specified character buffer. + * @param base the character buffer + * @param size the size in bytes of the character buffer + * + * @return the newly allocated buffer state object. + */ +YY_BUFFER_STATE rd_yy_scan_buffer (char * base, yy_size_t size ) +{ + YY_BUFFER_STATE b; + + if ( size < 2 || + base[size-2] != YY_END_OF_BUFFER_CHAR || + base[size-1] != YY_END_OF_BUFFER_CHAR ) + /* They forgot to leave room for the EOB's. */ + return 0; + + b = (YY_BUFFER_STATE) rd_yyalloc(sizeof( struct yy_buffer_state ) ); + if ( ! b ) + YY_FATAL_ERROR( "out of dynamic memory in rd_yy_scan_buffer()" ); + + b->yy_buf_size = size - 2; /* "- 2" to take care of EOB's */ + b->yy_buf_pos = b->yy_ch_buf = base; + b->yy_is_our_buffer = 0; + b->yy_input_file = 0; + b->yy_n_chars = b->yy_buf_size; + b->yy_is_interactive = 0; + b->yy_at_bol = 1; + b->yy_fill_buffer = 0; + b->yy_buffer_status = YY_BUFFER_NEW; + + rd_yy_switch_to_buffer(b ); + + return b; +} + +/** Setup the input buffer state to scan a string. The next call to rd_yylex() will + * scan from a @e copy of @a str. + * @param yystr a NUL-terminated string to scan + * + * @return the newly allocated buffer state object. + * @note If you want to scan bytes that may contain NUL values, then use + * rd_yy_scan_bytes() instead. + */ +YY_BUFFER_STATE rd_yy_scan_string (yyconst char * yystr ) +{ + + return rd_yy_scan_bytes(yystr,strlen(yystr) ); +} + +/** Setup the input buffer state to scan the given bytes. The next call to rd_yylex() will + * scan from a @e copy of @a bytes. + * @param bytes the byte buffer to scan + * @param len the number of bytes in the buffer pointed to by @a bytes. + * + * @return the newly allocated buffer state object. + */ +YY_BUFFER_STATE rd_yy_scan_bytes (yyconst char * yybytes, int _yybytes_len ) +{ + YY_BUFFER_STATE b; + char *buf; + yy_size_t n; + int i; + + /* Get memory for full buffer, including space for trailing EOB's. */ + n = _yybytes_len + 2; + buf = (char *) rd_yyalloc(n ); + if ( ! buf ) + YY_FATAL_ERROR( "out of dynamic memory in rd_yy_scan_bytes()" ); + + for ( i = 0; i < _yybytes_len; ++i ) + buf[i] = yybytes[i]; + + buf[_yybytes_len] = buf[_yybytes_len+1] = YY_END_OF_BUFFER_CHAR; + + b = rd_yy_scan_buffer(buf,n ); + if ( ! b ) + YY_FATAL_ERROR( "bad buffer in rd_yy_scan_bytes()" ); + + /* It's okay to grow etc. this buffer, and we should throw it + * away when we're done. + */ + b->yy_is_our_buffer = 1; + + return b; +} + +#ifndef YY_EXIT_FAILURE +#define YY_EXIT_FAILURE 2 +#endif + +static void yy_fatal_error (yyconst char* msg ) +{ + (void) fprintf( stderr, "%s\n", msg ); + exit( YY_EXIT_FAILURE ); +} + +/* Redefine yyless() so it works in section 3 code. */ + +#undef yyless +#define yyless(n) \ + do \ + { \ + /* Undo effects of setting up rd_yytext. */ \ + int yyless_macro_arg = (n); \ + YY_LESS_LINENO(yyless_macro_arg);\ + rd_yytext[rd_yyleng] = (yy_hold_char); \ + (yy_c_buf_p) = rd_yytext + yyless_macro_arg; \ + (yy_hold_char) = *(yy_c_buf_p); \ + *(yy_c_buf_p) = '\0'; \ + rd_yyleng = yyless_macro_arg; \ + } \ + while ( 0 ) + +/* Accessor methods (get/set functions) to struct members. */ + +/** Get the current line number. + * + */ +int rd_yyget_lineno (void) +{ + + return rd_yylineno; +} + +/** Get the input stream. + * + */ +FILE *rd_yyget_in (void) +{ + return rd_yyin; +} + +/** Get the output stream. + * + */ +FILE *rd_yyget_out (void) +{ + return rd_yyout; +} + +/** Get the length of the current token. + * + */ +int rd_yyget_leng (void) +{ + return rd_yyleng; +} + +/** Get the current token. + * + */ + +char *rd_yyget_text (void) +{ + return rd_yytext; +} + +/** Set the current line number. + * @param line_number + * + */ +void rd_yyset_lineno (int line_number ) +{ + + rd_yylineno = line_number; +} + +/** Set the input stream. This does not discard the current + * input buffer. + * @param in_str A readable stream. + * + * @see rd_yy_switch_to_buffer + */ +void rd_yyset_in (FILE * in_str ) +{ + rd_yyin = in_str ; +} + +void rd_yyset_out (FILE * out_str ) +{ + rd_yyout = out_str ; +} + +int rd_yyget_debug (void) +{ + return rd_yy_flex_debug; +} + +void rd_yyset_debug (int bdebug ) +{ + rd_yy_flex_debug = bdebug ; +} + +static int yy_init_globals (void) +{ + /* Initialization is the same as for the non-reentrant scanner. + * This function is called from rd_yylex_destroy(), so don't allocate here. + */ + + (yy_buffer_stack) = 0; + (yy_buffer_stack_top) = 0; + (yy_buffer_stack_max) = 0; + (yy_c_buf_p) = (char *) 0; + (yy_init) = 0; + (yy_start) = 0; + +/* Defined in main.c */ +#ifdef YY_STDINIT + rd_yyin = stdin; + rd_yyout = stdout; +#else + rd_yyin = (FILE *) 0; + rd_yyout = (FILE *) 0; +#endif + + /* For future reference: Set errno on error, since we are called by + * rd_yylex_init() + */ + return 0; +} + +/* rd_yylex_destroy is for both reentrant and non-reentrant scanners. */ +int rd_yylex_destroy (void) +{ + + /* Pop the buffer stack, destroying each element. */ + while(YY_CURRENT_BUFFER){ + rd_yy_delete_buffer(YY_CURRENT_BUFFER ); + YY_CURRENT_BUFFER_LVALUE = NULL; + rd_yypop_buffer_state(); + } + + /* Destroy the stack itself. */ + rd_yyfree((yy_buffer_stack) ); + (yy_buffer_stack) = NULL; + + /* Reset the globals. This is important in a non-reentrant scanner so the next time + * rd_yylex() is called, initialization will occur. */ + yy_init_globals( ); + + return 0; +} + +/* + * Internal utility routines. + */ + +#ifndef yytext_ptr +static void yy_flex_strncpy (char* s1, yyconst char * s2, int n ) +{ + register int i; + for ( i = 0; i < n; ++i ) + s1[i] = s2[i]; +} +#endif + +#ifdef YY_NEED_STRLEN +static int yy_flex_strlen (yyconst char * s ) +{ + register int n; + for ( n = 0; s[n]; ++n ) + ; + + return n; +} +#endif + +void *rd_yyalloc (yy_size_t size ) +{ + return (void *) malloc( size ); +} + +void *rd_yyrealloc (void * ptr, yy_size_t size ) +{ + /* The cast to (char *) in the following accommodates both + * implementations that use char* generic pointers, and those + * that use void* generic pointers. It works with the latter + * because both ANSI C and C++ allow castless assignment from + * any pointer type to void*, and deal with argument conversions + * as though doing an assignment. + */ + return (void *) realloc( (char *) ptr, size ); +} + +void rd_yyfree (void * ptr ) +{ + free( (char *) ptr ); /* see rd_yyrealloc() for (char *) cast */ +} + +#define YYTABLES_NAME "yytables" + +#line 49 "rd_parser/rd_scanner.ll" + + + +void +rd_scan_string (const char *s) +{ + rd_yy_scan_string (s); +} + diff --git a/rd_parser/rd_scanner.ll b/rd_parser/rd_scanner.ll new file mode 100644 index 0000000..f1b31d3 --- /dev/null +++ b/rd_parser/rd_scanner.ll @@ -0,0 +1,55 @@ + +%{ +#include "rd_parser.hh" + +#define YY_DECL \ + yy::rd_parser::token_type rd_yylex (yy::rd_parser::semantic_type *yylval) + +#define yyterminate() return token::END + +typedef yy::rd_parser::token token; +typedef yy::rd_parser::token_type token_type; +%} + +%option noyywrap nounput batch prefix="rd_yy" + +%% + +-?[0-9]+ { + yylval->integer = atoi (yytext); + return token::INT; + } + +[a-zA-Z]+ { + if (!strcmp (yytext, "h")) + return token::H; + else if (!strcmp (yytext, "t")) + return token::T; + else if (!strcmp (yytext, "in")) + { + yylval->inside = 1; + return token::IN; + } + else if (!strcmp (yytext, "out")) + { + yylval->inside = 0; + return token::OUT; + } + else + { + fprintf (stderr, "rd_parser: unknown identifier `%s'\n", yytext); + exit (EXIT_FAILURE); + } +} + +[\t\r\n ] /* ignore */ + +. { return token_type (yytext[0]); } + +%% + +void +rd_scan_string (const char *s) +{ + rd_yy_scan_string (s); +} diff --git a/rd_parser/stack.hh b/rd_parser/stack.hh new file mode 100644 index 0000000..c356e5c --- /dev/null +++ b/rd_parser/stack.hh @@ -0,0 +1,136 @@ +/* A Bison parser, made by GNU Bison 2.4.3. */ + +/* Stack handling for Bison parsers in C++ + + Copyright (C) 2002, 2003, 2004, 2005, 2006, 2007, 2008, 2009, 2010 Free + Software Foundation, Inc. + + This program is free software: you can redistribute it and/or modify + it under the terms of the GNU General Public License as published by + the Free Software Foundation, either version 3 of the License, or + (at your option) any later version. + + This program is distributed in the hope that it will be useful, + but WITHOUT ANY WARRANTY; without even the implied warranty of + MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the + GNU General Public License for more details. + + You should have received a copy of the GNU General Public License + along with this program. If not, see . */ + +/* As a special exception, you may create a larger work that contains + part or all of the Bison parser skeleton and distribute that work + under terms of your choice, so long as that work isn't itself a + parser generator using the skeleton or a modified version thereof + as a parser skeleton. Alternatively, if you modify or redistribute + the parser skeleton itself, you may (at your option) remove this + special exception, which will cause the skeleton and the resulting + Bison output files to be licensed under the GNU General Public + License without this special exception. + + This special exception was added by the Free Software Foundation in + version 2.2 of Bison. */ + +#ifndef BISON_STACK_HH +# define BISON_STACK_HH + +#include + + +namespace yy { + +/* Line 1067 of lalr1.cc */ +#line 44 "rd_parser/stack.hh" + template > + class stack + { + public: + + // Hide our reversed order. + typedef typename S::reverse_iterator iterator; + typedef typename S::const_reverse_iterator const_iterator; + + stack () : seq_ () + { + } + + stack (unsigned int n) : seq_ (n) + { + } + + inline + T& + operator [] (unsigned int i) + { + return seq_[i]; + } + + inline + const T& + operator [] (unsigned int i) const + { + return seq_[i]; + } + + inline + void + push (const T& t) + { + seq_.push_front (t); + } + + inline + void + pop (unsigned int n = 1) + { + for (; n; --n) + seq_.pop_front (); + } + + inline + unsigned int + height () const + { + return seq_.size (); + } + + inline const_iterator begin () const { return seq_.rbegin (); } + inline const_iterator end () const { return seq_.rend (); } + + private: + + S seq_; + }; + + /// Present a slice of the top of a stack. + template > + class slice + { + public: + + slice (const S& stack, + unsigned int range) : stack_ (stack), + range_ (range) + { + } + + inline + const T& + operator [] (unsigned int i) const + { + return stack_[range_ - i]; + } + + private: + + const S& stack_; + unsigned int range_; + }; + +} // yy + +/* Line 1153 of lalr1.cc */ +#line 134 "rd_parser/stack.hh" + +#endif // not BISON_STACK_HH[]dnl + diff --git a/smoothing.cpp b/smoothing.cpp new file mode 100644 index 0000000..530ef5a --- /dev/null +++ b/smoothing.cpp @@ -0,0 +1,121 @@ + +#include + +void +smoothing::init (const knot_diagram &d, smallbitset state) +{ + unsigned n_edges = d.num_edges (); + + n_circles = 0; + assert (edge_circle.size () == n_edges); + + for (unsigned i = 1; i <= n_edges; i ++) + edge_circle[i] = 0; + + for (unsigned i = 1; i <= n_edges; i ++) + { + if (edge_circle[i]) + continue; + + n_circles ++; + for (unsigned p = edge_to (d, i);;) + { + unsigned e = d.ept_edge (p); + edge_circle[e] = n_circles; + + p = d.resolve_next_ept (p, state % d.ept_crossing[p]); + assert (is_from_ept (d, p)); + if (d.ept_edge (p) == i) + break; + p = d.edge_other_ept (p); + assert (is_to_ept (d, p)); + } + } + +#ifndef NDEBUG + for (unsigned c = 1; c <= d.n_crossings; c ++) + { + assert (crossing_from_inside (d, state, c) + == crossing_to_inside (d, state, c)); + } +#endif +} + +unsigned +smoothing::monomial_from (const knot_diagram &d, const smoothing &from_s, unsigned j) const +{ + unsigned j2 = 0; + for (unsigned k = 1; k <= d.num_edges (); k ++) + { + if (unsigned_bittest (j, from_s.edge_circle[k])) + j2 = unsigned_bitset (j2, edge_circle[k]); + } + return j2; +} + +unsigned +smoothing::monomial_from (const knot_diagram &d, const smoothing &from_s, unsigned j, + smallbitset skip) const +{ + unsigned j2 = 0; + for (unsigned k = 1; k <= d.num_edges (); k ++) + { + if (skip % k) + continue; + if (unsigned_bittest (j, from_s.edge_circle[k])) + j2 = unsigned_bitset (j2, edge_circle[k]); + } + return j2; +} + +void +smoothing::show_self (const knot_diagram &d, smallbitset state) const +{ + printf ("smoothing "); + show (state); + printf (" "); + + smallbitset done (d.num_edges ()); + for (unsigned e = 1; e <= d.num_edges (); e ++) + { + if (done % e) + continue; + + printf ("("); + bool first = 1; + for (unsigned f = e;;) + { + done.push (f); + + unsigned p = edge_to (d, f); + unsigned c = d.ept_crossing (p); + + assert (is_to_ept (d, p)); + + if (f == d.marked_edge) + printf ("*"); + + if (first) + first = 0; + else + printf (", "); + if (is_crossing_from_ept (d, state, p)) + { + printf ("t%d%s", + c, + crossing_from_inside (d, state, c) ? "in" : "out"); + } + else + { + printf ("h%d%s", + c, + crossing_to_inside (d, state, c) ? "in" : "out"); + } + + f = next_edge (d, state, f); + if (f == e) + break; + } + printf (")"); + } +} diff --git a/smoothing.h b/smoothing.h new file mode 100644 index 0000000..f41a8c6 --- /dev/null +++ b/smoothing.h @@ -0,0 +1,119 @@ + +class smoothing : public refcounted +{ + public: + unsigned n_circles; + + unsigned num_monomials () const { return ((unsigned)1) << n_circles; } + unsigned num_generators (bool markedp_only) + { + return markedp_only + ? ((unsigned)1) << (n_circles - 1) + : ((unsigned)1) << n_circles; + } + + basedvector edge_circle; + + unsigned crossing_from_circle (const knot_diagram &d, unsigned c) const + { + return edge_circle[d.ept_edge (d.crossings[c][2])]; + } + unsigned crossing_to_circle (const knot_diagram &d, unsigned c) const + { + return edge_circle[d.ept_edge (d.crossings[c][4])]; + } + + unsigned ept_circle (const knot_diagram &d, unsigned p) const + { + return edge_circle[d.ept_edge (p)]; + } + + unsigned edge_from (const knot_diagram &d, unsigned e) const + { + return d.edge_smoothing_from_ept (e); + } + unsigned edge_to (const knot_diagram &d, unsigned e) const + { + return d.edge_smoothing_to_ept (e); + } + + bool is_from_ept (const knot_diagram &d, unsigned p) const + { + return d.is_smoothing_from_ept (p); + } + bool is_to_ept (const knot_diagram &d, unsigned p) const + { + return d.is_smoothing_to_ept (p); + } + + bool crossing_from_inside (const knot_diagram &d, smallbitset state, unsigned c) const + { + unsigned p = d.crossings[c][2]; + return (state % c) == is_to_ept (d, p); + } + bool crossing_from_outside (const knot_diagram &d, smallbitset state, unsigned c) const + { + return !crossing_from_inside (d, state, c); + } + bool crossing_to_inside (const knot_diagram &d, smallbitset state, unsigned c) const + { + unsigned p = d.crossings[c][4]; + unsigned e = d.ept_edge (p); + return (state % c) == is_to_ept (d, p); + } + + bool is_crossing_from_ept (const knot_diagram &d, smallbitset state, unsigned p) const + { + unsigned c = d.ept_crossing (p); + return p == d.crossings[c][2] + || (state % c + ? p == d.crossings[c][3] + : p == d.crossings[c][1]); + } + + unsigned next_edge (const knot_diagram &d, smallbitset state, unsigned e) const + { + unsigned p = edge_to (d, e); + unsigned p2 = d.resolve_next_ept (p, state % d.ept_crossing[p]); + assert (is_from_ept (d, p2)); + return d.ept_edge (p2); + } + unsigned prev_edge (const knot_diagram &d, smallbitset state, unsigned e) const + { + unsigned p = edge_from (d, e); + unsigned p2 = d.resolve_next_ept (p, state % d.ept_crossing[p]); + assert (is_to_ept (d, p2)); + return d.ept_edge (p2); + } + + public: + smoothing () : n_circles(0) { } + smoothing (const knot_diagram &d) + : edge_circle(d.num_edges ()) + { } + smoothing (const knot_diagram &d, smallbitset state) + : edge_circle(d.num_edges ()) + { + init (d, state); + } + smoothing (const smoothing &s) + : n_circles(s.n_circles), + edge_circle(s.edge_circle) + { } + ~smoothing () { } + + void init (const knot_diagram &d, smallbitset state); + + smoothing &operator = (const smoothing &s) + { + n_circles = s.n_circles; + edge_circle = s.edge_circle; + return *this; + } + + unsigned monomial_from (const knot_diagram &d, const smoothing &from_s, unsigned j) const; + unsigned monomial_from (const knot_diagram &d, const smoothing &from_s, unsigned j, + smallbitset skip) const; + + void show_self (const knot_diagram &d, smallbitset state) const; +}; diff --git a/spanning_tree_complex.cpp b/spanning_tree_complex.cpp new file mode 100644 index 0000000..7457a29 --- /dev/null +++ b/spanning_tree_complex.cpp @@ -0,0 +1,65 @@ + +#include + +static bool +find_cycle_1 (map &cycle, const directed_multigraph &bg, + set edges, + unsigned f, + unsigned e, unsigned e_to) +{ + for (set_const_iter i = edges; i; i ++) + { + if (i.val () == e) + continue; + + if (bg.edge_from[i.val ()] == e_to) + { + if (i.val () == f) + return 1; + + cycle.push (i.val (), 1); + if (find_cycle_1 (cycle, bg, edges, f, + i.val (), bg.edge_to[i.val ()])) + return 1; + + cycle.yank (i.val ()); + } + else if (bg.edge_to[i.val ()] == e_to) + { + if (i.val () == f) + return 1; + + cycle.push (i.val (), -1); + if (find_cycle_1 (cycle, bg, edges, f, + i.val (), bg.edge_from[i.val ()])) + return 1; + + cycle.yank (i.val ()); + } + } + + return 0; +} + +map +find_cycle (const directed_multigraph &bg, + set edges, + unsigned f, unsigned f_to) +{ + map cycle; + + if (bg.edge_to[f] == f_to) + cycle.push (f, 1); + else + { + assert (bg.edge_from[f] == f_to); + cycle.push (f, -1); + } + + bool b = find_cycle_1 (cycle, bg, edges, f, + f, f_to); + assert (b); + + return cycle; +} + diff --git a/spanning_tree_complex.h b/spanning_tree_complex.h new file mode 100644 index 0000000..733c81d --- /dev/null +++ b/spanning_tree_complex.h @@ -0,0 +1,210 @@ + +template +class spanning_tree_complex +{ + public: + // twisted by default + typedef fraction_field > R; + + const knot_diagram &kd; + + directed_multigraph bg; + basedvector edge_height; + + basedvector, 1> trees; + map, unsigned> tree_idx; + + public: + ptr > C; + + public: + spanning_tree_complex (const knot_diagram &kd_); + + grading tree_grading (unsigned i) const; + void show_tree (unsigned i) const; + + mod_map twisted_d2 () const; +}; + +template +class tree_generators +{ + typedef fraction_field > R; + + const spanning_tree_complex &c; + +public: + tree_generators (const tree_generators &g) : c(g.c) { } + tree_generators (const spanning_tree_complex &c_) : c(c_) { } + ~tree_generators () { } + + tree_generators &operator = (const tree_generators &); // doesn't exist + + unsigned dim () const { return c.trees.size (); } + unsigned free_rank () const { return c.trees.size (); } + grading generator_grading (unsigned i) const { return c.tree_grading (i); } + void show_generator (unsigned i) const { c.show_tree (i); } + R generator_ann (unsigned i) const { abort (); } +}; + +template +spanning_tree_complex::spanning_tree_complex (const knot_diagram &kd_) + : kd(kd_) +{ + bg = kd.black_graph (edge_height); + + trees = bg.spanning_trees (); + for (unsigned i = 1; i <= trees.size (); i ++) + tree_idx.push (trees[i], i); + + C = new base_module > (tree_generators (*this)); +} + +template grading +spanning_tree_complex::tree_grading (unsigned i) const +{ + unsigned h = 0; + for (unsigned j = 1; j <= bg.num_edges (); j ++) + { + if (trees[i] % j) + h += edge_height[j]; + else + h += (1 - edge_height[j]); + } + // return grading (0, - h + kd.nplus); // ??? homologically graded + return grading (h - kd.nminus, h + kd.nplus - 2 * kd.nminus); +} + +template void +spanning_tree_complex::show_tree (unsigned i) const +{ + // ??? + printf ("%d", i); +} + +extern map find_cycle (const directed_multigraph &bg, + set edges, + unsigned f, unsigned f_to); + +template mod_map > > +spanning_tree_complex::twisted_d2 () const +{ + assert (kd.marked_edge); + + mod_map d (C); + + basedvector edge_weight (kd.num_edges ()); + for (unsigned i = 1; i <= kd.num_edges (); i ++) + edge_weight[i] = 1; // (1 << i); + + for (unsigned i = 1; i <= trees.size (); i ++) + { + set t = trees[i]; + + smallbitset r (kd.n_crossings); + for (unsigned k = 1; k <= kd.n_crossings; k ++) + { + if ((edge_height[k] == 1) == (t % k)) + r.push (k); + } + smoothing s (kd, r); + + for (set_const_iter ee = t; ee; ee ++) + { + unsigned e = ee.val (); + + if (edge_height[e] != 0) + continue; + + for (unsigned f = 1; f <= bg.num_edges (); f ++) + { + if (edge_height[f] != 1 || (t % f)) + continue; + + set t2 (COPY, t); + t2.yank (e); + t2.push (f); + unsigned j = tree_idx(t2, 0); + if (j == 0) + continue; + + bool neg = 0; + for (unsigned a = kd.marked_edge;;) + { + unsigned p = s.edge_to (kd, a); + if (kd.ept_crossing[p] == e) + { + if (s.is_crossing_from_ept (kd, r, p)) + neg = s.crossing_from_inside (kd, r, e); + else + neg = s.crossing_to_inside (kd, r, e); + break; + } + else if (kd.ept_crossing[p] == f) + { + if (s.is_crossing_from_ept (kd, r, p)) + neg = s.crossing_from_inside (kd, r, f); + else + neg = s.crossing_to_inside (kd, r, f); + break; + } + + a = s.next_edge (kd, r, a); + assert (a != kd.marked_edge); + } + + set neither (COPY, t); + neither.yank (e); + + smallbitset neither_r (kd.n_crossings); + for (unsigned k = 1; k <= kd.n_crossings; k ++) + { + if ((edge_height[k] == 1) == (neither % k)) + neither_r.push (k); + } + smoothing neither_s (kd, neither_r); + + set both (COPY, t); + both.push (f); + + unsigned A = 0; + for (unsigned k = 1; k <= kd.num_edges (); k ++) + { + if (neither_s.edge_circle[k] + != neither_s.edge_circle[kd.marked_edge]) + A += edge_weight[k]; + } + + smallbitset both_r (kd.n_crossings); + for (unsigned k = 1; k <= kd.n_crossings; k ++) + { + if ((edge_height[k] == 1) == (both % k)) + both_r.push (k); + } + smoothing both_s (kd, both_r); + + unsigned B = 0; + for (unsigned k = 1; k <= kd.num_edges (); k ++) + { + if (both_s.edge_circle[k] + != both_s.edge_circle[kd.marked_edge]) + B += edge_weight[k]; + } + + R x; + + if (neg) + x += R (1); + + x += R (polynomial (1), + polynomial (1) + polynomial (1, A)); + x += R (polynomial (1), + polynomial (1) + polynomial (1, B)); + + d[i].muladd (x, j); + } + } + } + + return d; +} diff --git a/sseq.cpp b/sseq.cpp new file mode 100644 index 0000000..0b76612 --- /dev/null +++ b/sseq.cpp @@ -0,0 +1,625 @@ + +#include + +sseq_page::sseq_page (const sseq_bounds &b) + : rank(b.width ()), + im_rank(b.width ()) +{ + for (unsigned i = 0; i < b.width (); i ++) + { + vector r (b.height ()), + im_r (b.height ()); + for (unsigned j = 0; j < b.height (); j ++) + r[j] = im_r[j] = 0; + + rank[i] = r; + im_rank[i] = im_r; + } +} + +void +sseq_page::addeq (const sseq_bounds &b, const sseq_bounds &b2, const sseq_page &pg2) +{ + for (unsigned i = 0; i < b2.width (); i ++) + { + for (unsigned j = 0; j < b2.height (); j ++) + { + rank[i + b2.minh - b.minh][j + b2.minq - b.minq] + += pg2.rank[i][j]; + im_rank[i + b2.minh - b.minh][j + b2.minq - b.minq] + += pg2.im_rank[i][j]; + } + } +} + +void +sseq_page::otimes_addeq (const sseq_bounds &b, + const sseq_bounds &b1, const sseq_page &pg1, + const sseq_bounds &b2, const sseq_page &pg2) +{ + for (int i1 = b1.minh; i1 <= b1.maxh; i1 ++) + for (int j1 = b1.minq; j1 <= b1.maxq; j1 ++) + { + for (int i2 = b2.minh; i2 <= b2.maxh; i2 ++) + for (int j2 = b2.minq; j2 <= b2.maxq; j2 ++) + { + unsigned n1 = pg1.rank[i1 - b1.minh][j1 - b1.minq], + n2 = pg2.rank[i2 - b2.minh][j2 - b2.minq]; + unsigned k1 = pg1.im_rank[i1 - b1.minh][j1 - b1.minq], + k2 = pg2.im_rank[i2 - b2.minh][j2 - b2.minq]; + + rank[i1 + i2 - b.minh][j1 + j2 + 1 - b.minq] + += n1 * n2; + im_rank[i1 + i2 - b.minh][j1 + j2 + 1 - b.minq] + += n1*k2 + n2*k1 - k1*k2; + } + } +} + +unsigned +sseq_page::total_rank () const +{ + unsigned r = 0; + for (unsigned i = 0; i < rank.size (); i ++) + { + for (unsigned j = 0; j < rank[i].size (); j ++) + r += rank[i][j]; + } + return r; +} + +unsigned +sseq_page::homological_width (const sseq_bounds &b) const +{ + int mind = 0, maxd = 0; + bool first = 1; + + for (int i = b.minh; i <= b.maxh; i ++) + for (int j = b.minq; j <= b.maxq; j ++) + { + if (rank[i - b.minh][j - b.minq] > 0) + { + int d = j - 2*i; + if (first) + { + first = 0; + mind = maxd = d; + } + else + { + if (d < mind) + mind = d; + if (d > maxd) + maxd = d; + } + } + } + if (first) + return 0; + else + { + assert (maxd >= mind); + return maxd - mind + 1; + } +} + +intpoly2 +sseq_page::poincare_polynomial (const sseq_bounds &b) const +{ + intpoly2 r; + for (int i = b.minh; i <= b.maxh; i ++) + { + for (int j = b.minq; j <= b.maxq; j ++) + { + unsigned c = rank[i - b.minh][j - b.minq]; + if (c) + r.addeq (c, exponent2 (i, j)); + } + } + return r; +} + +intpoly1 +sseq_page::delta_poincare_polynomial (const sseq_bounds &b) const +{ + intpoly1 r; + for (int i = b.minh; i <= b.maxh; i ++) + { + for (int j = b.minq; j <= b.maxq; j ++) + { + unsigned c = rank[i - b.minh][j - b.minq]; + if (c) + r.addeq (c, exponent1 (j - 2*i)); + } + } + return r; +} + +void +sseq_page::texshow (FILE *fp, const sseq_bounds &b, unsigned dh, bool last) +{ + fprintf (fp, "\ +\\begin{tikzpicture}[scale=.66]\n\ + \\draw[->] (0,0) -- (%d.5,0) node[right] {$t$};\n\ + \\draw[->] (0,0) -- (0,%d.5) node[above] {$q$};\n\ + \\draw[step=1] (0,0) grid (%d,%d);\n", + b.width (), (b.height () + 1) / 2, b.width (), (b.height () + 1) / 2); + + fprintf (fp, " \\draw (%.3f,-0.8) node[below] {$", + ((double)b.width () + 0.5) / 2); + if (last) + fprintf (fp, "E_\\infty = "); + fprintf (fp, "E_{%d}$};\n", + dh); + + /* label axes */ + for (int x = b.minh; x <= b.maxh; x ++) + { + fprintf (fp, "\ + \\draw (%d.5,-.2) node[below] {$%d$};\n", + x - b.minh, x); + } + for (int y = b.minq; y <= b.maxq; y += 2) + { + fprintf (fp, "\ + \\draw (-.2,%d.5) node[left] {$%d$};\n", + (y - b.minq) / 2, y); + } + + for (unsigned i = 0; i < b.width (); i ++) + for (unsigned j = 0; j < b.height (); j ++) + { + int r = rank[i][j]; + if (r == 1) + { + assert (is_even (j)); + fprintf (fp, "\ + \\fill (%d.5, %d.5) circle (.15);\n", + i, j / 2); + } + else if (r > 1) + { + assert (is_even (j)); + fprintf (fp, "\ + \\draw (%d.5, %d.5) node {$%d$};\n", + i, j / 2, r); + } + } + + for (unsigned i = 0; i < b.width (); i ++) + for (unsigned j = 0; j < b.height (); j ++) + { + unsigned r = im_rank[i][j]; + if (r == 0) + continue; + + unsigned dx = dh, + dy = dh - 1; // in "boxes" + assert (dx >= 2); // eliminated d_1 + + double h = sqrt ((double)(dx * dx + dy * dy)); + double xadj = (double)dx / h * 0.3; + double yadj = (double)dy / h * 0.3; + + assert (is_even (j)); + fprintf (fp, " \\draw[->] (%.3f, %.3f) -- ", + (double)i + 0.5 + xadj, (double)(j / 2) + 0.5 + yadj); + if (r > 1) + fprintf (fp, "node[color=red!75!black] {$%d$} ", r); + fprintf (fp, "(%.3f, %.3f);\n", + (double)(i + dx) + 0.5 - xadj, (double)(j / 2 + dy) + 0.5 - yadj); + } + + fprintf (fp, "\ +\\end{tikzpicture}\n"); + + fflush (fp); +} + +sseq +sseq::operator + (const sseq &ss2) const +{ + sseq_bounds b (std::min (bounds.minh, ss2.bounds.minh), + std::max (bounds.maxh, ss2.bounds.maxh), + std::min (bounds.minq, ss2.bounds.minq), + std::max (bounds.maxq, ss2.bounds.maxq)); + sseq r (b); + + unsigned n = std::max (pages.size (), + ss2.pages.size ()); + for (unsigned i = 1; i <= n; i ++) + { + sseq_page pg (b); + if (i <= pages.size ()) + pg.addeq (b, bounds, pages[i]); + if (i <= ss2.pages.size ()) + pg.addeq (b, ss2.bounds, ss2.pages[i]); + r.pages.append (pg); + } + + return r; +} + +sseq +sseq::otimes (const sseq &ss2) const +{ + sseq_bounds b (bounds.minh + ss2.bounds.minh, + bounds.maxh + ss2.bounds.maxh, + bounds.minq + ss2.bounds.minq + 1, + bounds.maxq + ss2.bounds.maxq + 1); + sseq r (b); + + unsigned n1 = pages.size (), + n2 = ss2.pages.size (); + + unsigned n = std::max (n1, n2); + for (unsigned i = 1; i <= n; i ++) + { + sseq_page pg (b); + pg.otimes_addeq (b, + bounds, pages[std::min (i, n1)], + ss2.bounds, ss2.pages[std::min (i, n2)]); + r.pages.append (pg); + } + + return r; +} + +sseq +sseq::shift (int dh, int dq) const +{ + return sseq (sseq_bounds (bounds.minh + dh, + bounds.maxh + dh, + bounds.minq + dq, + bounds.maxq + dq), + pages); +} + +bool +sseq::equal_as_spaces (const sseq &ss) const +{ + if (bounds != ss.bounds + || pages.size () != ss.pages.size ()) + return 0; + + for (unsigned i = 1; i <= pages.size (); i ++) + { + if (!pages[i].equal_as_spaces (ss.pages[i])) + return 0; + } + + return 1; +} + +void +sseq::texshow (FILE *fp, std::string name) +{ + fprintf (fp, "\\section{Knot $%s$}\n", name.c_str ()); + + unsigned n = pages.size (); + for (unsigned i = 1; i <= n; i ++) + fprintf (fp, "$\\rank E_%d = %d$ \\\\\n", + i + 1, pages[i].total_rank ()); + + for (unsigned i = 1; i <= n; i ++) + pages[i].texshow (fp, bounds, i + 1, i == n); +} + +void +sseq_builder::cancel (unsigned d) +{ + unsigned n = C->dim (); + + unsigned step = n / 8; + if (verbose + && d == 1 + && step) + { + fprintf (stderr, "cancelling generators...\n"); + fprintf (stderr, "%d generators.\n", n); + } + + for (unsigned i = n; i >= 1; i --) + { + if (! (present % i)) + continue; + + if (verbose + && d == 1 + && step + && ((n - i) % step) == 0) + { + fprintf (stderr, "%d / %d generators cancelled.\n", (n - i), n); + } + + grading igr = C->generator_grading (i); + for (set_const_iter j = im[i]; j; j ++) + { + grading jgr = C->generator_grading (j.val ()); + assert (jgr.h > igr.h); + if ((unsigned)(jgr.h - igr.h) == d) + { + cancel (i, j.val ()); + break; + } + } + } + + if (verbose + && d == 1 + && step + && (n % step) != 0) + { + fprintf (stderr, "%d / %d generators cancelled.\n", n, n); + } + if (verbose + && d == 1 + && step) + { + fprintf (stderr, "cancelling generators done.\n"); + } + +#if 0 + unsigned m = present.card (); + + basedvector pri (m), + nth (m); + for (ullmanset<1>::const_iter ii = present; ii; ii ++) + { + unsigned i = ii.val (); + grading igr = C->generator_grading (i); + + unsigned max_pri = 0; + for (set_const_iter j = im[i]; j; j ++) + { + grading jgr = C->generator_grading (j.val ()); + assert (jgr.h > igr.h); + if ((unsigned)(jgr.h - igr.h) == d) + { + unsigned p = 100000000 - (im[i].card () - 1) * (preim[j.val ()].card () - 1); + if (p > max_pri) + max_pri = p; + } + } + + unsigned p = ii.pos () + 1; + pri[p] = max_pri; + nth[p] = i; + } + priority_queue q (m, pri); + for (unsigned i = 1; i <= m; i ++) + q.push (i); + while (!q.is_empty ()) + { + unsigned p = q.pop (); + unsigned i = nth[p]; + + grading igr = C->generator_grading (i); + + unsigned max_pri = 0, + maxj = 0; + for (set_const_iter j = im[i]; j; j ++) + { + grading jgr = C->generator_grading (j.val ()); + assert (jgr.h > igr.h); + if ((unsigned)(jgr.h - igr.h) == d) + { + unsigned p = 100000000 - (im[i].card () - 1) * (preim[j.val ()].card () - 1); + if (p > max_pri) + { + max_pri = p; + maxj = j.val (); + } + } + } + if (maxj) + cancel (i, maxj); + } +#endif + +#ifndef NDEBUG + for (ullmanset<1>::const_iter ii = present; ii; ii ++) + { + unsigned i = ii.val (); + grading igr = C->generator_grading (i); + for (set_const_iter j = im[i]; j; j ++) + { + grading jgr = C->generator_grading (j.val ()); + assert (jgr.h > igr.h); + assert ((unsigned)(jgr.h - igr.h) > d); + } + } +#endif +} + +void +sseq_builder::cancel (unsigned i, unsigned j) +{ + assert (i != j); + + present.yank (i); + present.yank (j); + + im[i].yank (j); + preim[j].yank (i); + + for (set_const_iter k = im[i]; k; k ++) + preim[k.val ()].yank (i); + for (set_const_iter k = preim[i]; k; k ++) + im[k.val ()].yank (i); + for (set_const_iter k = im[j]; k; k ++) + preim[k.val ()].yank (j); + for (set_const_iter k = preim[j]; k; k ++) + im[k.val ()].yank (j); + + for (set_const_iter kk = preim[j]; kk; kk ++) + { + for (set_const_iter ll = im[i]; ll; ll ++) + { + unsigned k = kk.val (), + ell = ll.val (); + + assert (present % k); + assert (present % ell); + assert (k != i); + assert (k != j); + assert (ell != i); + assert (ell != j); + assert (ell != k); + + if (im[k].toggle (ell)) + preim[ell].yank (k); + else + preim[ell].push (k); + } + } + + im[i].clear (); + preim[i].clear (); + im[j].clear (); + preim[j].clear (); +} + +sseq_builder::linear_combination +sseq_builder::lc (const set &s) +{ + linear_combination r; + for (set::const_iter i = s; i; i ++) + r.muladd (1, i.val ()); + return r; +} + +bool +sseq_builder::im_zero () +{ + for (ullmanset<1>::const_iter i = present; i; i ++) + { + if (!im[i.val ()].is_empty ()) + return 0; + } + return 1; +} + +sseq_builder::sseq_builder (const ptr > &C_, + const mod_map &d) + : C(C_), present(C->dim ()), im(C->dim ()), preim(C->dim ()) +{ + unsigned n = C->dim (); + + for (unsigned i = 1; i <= n; i ++) + present.push (i); + + for (unsigned i = 1; i <= n; i ++) + { + for (linear_combination_const_iter j = d[i]; j; j ++) + { + im[i].push (j.key ()); + preim[j.key ()].push (i); + } + } +} + +sseq +sseq_builder::build_sseq () +{ + if (verbose) + { + fprintf (stderr, "computing spectral sequence...\n"); + fprintf (stderr, "computing E^1...\n"); + } + + unsigned dh = 1; + cancel (dh); + dh ++; + + if (verbose) + fprintf (stderr, "computing E^1 done.\n"); + + unsigned i0 = present.head (); + grading i0gr = C->generator_grading (i0); + int minh = i0gr.h, + maxh = i0gr.h, + minq = i0gr.q, + maxq = i0gr.q; + for (ullmanset<1>::const_iter i = present; i; i ++) + { + grading igr = C->generator_grading (i.val ()); + if (igr.h < minh) + minh = igr.h; + if (igr.h > maxh) + maxh = igr.h; + if (igr.q < minq) + minq = igr.q; + if (igr.q > maxq) + maxq = igr.q; + } + sseq_bounds b (minh, maxh, minq, maxq); + sseq r (b); + +#if 0 + printf ("minh=%d, maxh=%d, minq=%d, maxq=%d\n", + minh, maxh, minq, maxq); +#endif + + for (;;) + { + if (verbose) + fprintf (stderr, "computing E^%d...\n", dh); + + sseq_page pg (b); + + basedvector span; + for (ullmanset<1>::const_iter i = present; i; i ++) + { + grading igr = C->generator_grading (i.val ()); + +#if 0 + printf ("i=%d, igr.h=%d, igr.q=%d\n", + i.val (), igr.h, igr.q); +#endif + + pg.rank[igr.h - minh][igr.q - minq] ++; + + linear_combination v (C); + for (set::const_iter j = im[i.val ()]; j; j ++) + { + grading jgr = C->generator_grading (j.val ()); + + if (jgr.h - igr.h == (int)dh) + { + assert ((jgr.h - igr.h - 1) * 2 == (jgr.q - igr.q)); + + v.muladd (1, j.val ()); + } + } + span.append (v); + } + + unsigned dq = (dh - 1) * 2; + + mod_span span2 (C, span); + ptr > im2 = C->submodule (span2); + + for (unsigned i = 1; i <= im2->dim (); i ++) + { + grading igr = im2->generator_grading (i); + pg.im_rank[igr.h - dh - minh][igr.q - dq - minq] ++; + } + + r.pages.append (pg); + + if (verbose) + fprintf (stderr, "computing E^%d done.\n", dh); + + if (im_zero ()) + break; + + cancel (dh); + dh ++; + } + + if (verbose) + fprintf (stderr, "computing spectral sequence done.\n"); + + return r; +} diff --git a/sseq.h b/sseq.h new file mode 100644 index 0000000..2bdb124 --- /dev/null +++ b/sseq.h @@ -0,0 +1,397 @@ + +class sseq_bounds +{ + public: + int minh, maxh, + minq, maxq; + + public: + sseq_bounds () { } + sseq_bounds (int minh_, int maxh_, int minq_, int maxq_) + : minh(minh_), maxh(maxh_), minq(minq_), maxq(maxq_) + { } + sseq_bounds (const sseq_bounds &b) + : minh(b.minh), maxh(b.maxh), minq(b.minq), maxq(b.maxq) + { } + ~sseq_bounds () { } + + sseq_bounds &operator = (const sseq_bounds &b) + { + minh = b.minh; + maxh = b.maxh; + minq = b.minq; + maxq = b.maxq; + return *this; + } + + unsigned width () const { return maxh - minh + 1; } + unsigned height () const { return maxq - minq + 1; } + + bool operator == (const sseq_bounds &b) const + { + return minh == b.minh + && maxh == b.maxh + && minq == b.minq + && maxq == b.maxq; + } +}; + +class sseq_page +{ + public: + /* bounds come from sseq */ + vector > rank, + im_rank; + + public: + sseq_page () { } + sseq_page (const sseq_bounds &b); + sseq_page (const sseq_page &pg) + : rank(pg.rank), im_rank(pg.im_rank) + { } + ~sseq_page () { } + + bool operator == (const sseq_page &pg) const { return rank == pg.rank && im_rank == pg.im_rank; } + bool equal_as_spaces (const sseq_page &pg) const { return rank == pg.rank; } + + unsigned total_rank () const; + intpoly2 poincare_polynomial (const sseq_bounds &b) const; + intpoly1 delta_poincare_polynomial (const sseq_bounds &b) const; + unsigned homological_width (const sseq_bounds &b) const; + + void addeq (const sseq_bounds &b, const sseq_bounds &b2, const sseq_page &pg2); + void otimes_addeq (const sseq_bounds &b, + const sseq_bounds &b1, const sseq_page &pg1, + const sseq_bounds &b2, const sseq_page &pg2); + + void texshow (FILE *fp, const sseq_bounds &b, unsigned dh, bool last); +}; + +class sseq +{ + public: + sseq_bounds bounds; + basedvector pages; + + public: + sseq () { } + sseq (const sseq_bounds &b, const basedvector &pages_) + : bounds(b), pages(pages_) + { } + sseq (const sseq_bounds &b) + : bounds(b) + { } + sseq (const sseq &ss) : bounds(ss.bounds), pages(ss.pages) { } + ~sseq () { } + + sseq &operator = (const sseq &ss) { bounds = ss.bounds; pages = ss.pages; return *this; } + + sseq operator + (const sseq &ss2) const; // direct sum + sseq otimes (const sseq &ss2) const; // tensor product + sseq shift (int dh, int dq) const; + + unsigned e2_rank () const { return pages[1].total_rank (); } + unsigned einf_rank () const { return pages[pages.size ()].total_rank (); } + unsigned homological_width () const { return pages[1].homological_width (bounds); } + + bool operator == (const sseq &ss) const { return bounds == ss.bounds && pages == ss.pages; } + bool equal_as_spaces (const sseq &ss) const; + + void texshow (FILE *fp, std::string name); +}; + +template class simplified_complex_generators +{ + unsigned new_n; + ptr > C; + basedvector new_C_to_C_generator; + +public: + simplified_complex_generators (const simplified_complex_generators &g) + : new_n(g.new_n), + C(g.C), + new_C_to_C_generator(g.new_C_to_C_generator) + { } + simplified_complex_generators (unsigned new_n_, + ptr > C_, + basedvector new_C_to_C_generator_) + : new_n(new_n_), + C(C_), + new_C_to_C_generator(new_C_to_C_generator_) + { } + ~simplified_complex_generators () { } + + simplified_complex_generators &operator = (const simplified_complex_generators &); // doesn't exist + + unsigned dim () const { return new_n; } + unsigned free_rank () const { return new_n; } + grading generator_grading (unsigned i) const { return C->generator_grading (new_C_to_C_generator[i]); } + void show_generator (unsigned i) const { C->show_generator (new_C_to_C_generator[i]); } + R generator_ann (unsigned i) const { abort (); } +}; + +template +class chain_complex_simplifier +{ + public: + typedef typename R::linear_combination linear_combination; + typedef typename R::linear_combination_const_iter linear_combination_const_iter; + + public: + ptr > C; + unsigned n; // |C| + const mod_map &d; + + ptr > new_C; + mod_map new_d; + + // chain homotopy equivalences + // pi : C -> new_C, iota : new_C -> C + mod_map pi, iota; + + private: + mod_map new_d0; + + basedvector, 1> preim; + + bool build_pi_iota; + mod_map pi0, iota0; + set canceled; + + void cancel (unsigned i, R b, unsigned j); + + public: + chain_complex_simplifier (ptr > C_, + const mod_map &d_, + int dh, + bool build_pi_iota_ = 0); + +}; + +template void +chain_complex_simplifier::cancel (unsigned i, R b, unsigned j) +{ + assert (i != j); + assert (b.is_unit ()); + + R binv = b.recip (); + + canceled.push (i); + canceled.push (j); + + new_d0[i].yank (j); + preim[j].yank (i); + + for (linear_combination_const_iter k = new_d0[i]; k; k ++) + preim[k.key ()].yank (i); + for (set_const_iter k = preim[i]; k; k ++) + new_d0[k.val ()].yank (i); + for (linear_combination_const_iter k = new_d0[j]; k; k ++) + preim[k.key ()].yank (j); + + if (build_pi_iota) + { + mod_map local_pi0 (C, 1), + local_iota0 (C, 1); + + local_pi0[i].clear (); + local_pi0[j].clear (); + + local_iota0[i].clear (); + local_iota0[j].clear (); + + for (linear_combination_const_iter ll = new_d0[i]; ll; ll ++) + { + R c = ll.val (); + local_pi0[j].mulsub (binv * c, ll.key ()); + } + + for (set_const_iter kk = preim[j]; kk; kk ++) + { + unsigned k = kk.val (); + R a = new_d0[k](j); + assert (a != 0); + + local_iota0[k].mulsub (a * binv, i); + } + + pi0 = local_pi0.compose (pi0); + iota0 = iota0.compose (local_iota0); + } + + for (set_const_iter kk = preim[j]; kk; kk ++) + { + unsigned k = kk.val (); + R a = new_d0[k](j); + assert (a != 0); + + R abinv = a * binv; + + for (linear_combination_const_iter ll = new_d0[i]; ll; ll ++) + { + unsigned ell = ll.key (); + R c = ll.val (); + + assert (! (canceled % k)); + assert (! (canceled % ell)); + assert (k != i); + assert (k != j); + assert (ell != i); + assert (ell != j); + assert (ell != k); + + new_d0[k].mulsub (abinv * c, ell); + if (new_d0[k] % ell) + preim[ell] += k; + else + preim[ell] -= k; + } + } + + for (set_const_iter k = preim[j]; k; k ++) + new_d0[k.val ()].yank (j); + + new_d0[i].clear (); + preim[i].clear (); + new_d0[j].clear (); + preim[j].clear (); + +#if 0 // expensive + if (build_pi_iota) + { + assert (pi0.compose (d) == new_d0.compose (pi0)); + assert (iota0.compose (new_d0) == d.compose (iota0)); + } +#endif +} + +template +chain_complex_simplifier::chain_complex_simplifier (ptr > C_, + const mod_map &d_, + int dh, + bool build_pi_iota_) + : C(C_), n(C_->dim ()), d(d_), + new_d0(COPY2, d), + preim(C_->dim ()), + build_pi_iota(build_pi_iota_) +{ + for (unsigned i = 1; i <= n; i ++) + { + for (linear_combination_const_iter j = d[i]; j; j ++) + preim[j.key ()].push (i); + } + + if (build_pi_iota) + { + pi0 = mod_map (C, 1); + iota0 = mod_map (C, 1); + +#if 0 // expensive + assert (pi0.compose (d) == new_d0.compose (pi0)); + assert (iota0.compose (new_d0) == d.compose (iota0)); +#endif + } + + Lretry: + for (unsigned i = n; i >= 1; i --) + { + if (canceled % i) + continue; + + grading igr = C->generator_grading (i); + for (linear_combination_const_iter j = new_d0[i]; j; j ++) + { + grading jgr = C->generator_grading (j.key ()); + assert (jgr.h >= igr.h); + if (j.val ().is_unit () + && jgr.h - igr.h == dh) + { + cancel (i, j.val (), j.key ()); + goto Lretry; + } + } + } + + unsigned new_n = n - canceled.card (); + basedvector new_C_to_C_generator (new_n), + C_to_new_C_generator (n); + for (unsigned i = 1, j = 1; i <= n; i ++) + { + if (canceled % i) + { + C_to_new_C_generator[i] = 0; + continue; + } + + C_to_new_C_generator[i] = j; + new_C_to_C_generator[j] = i; + j ++; + } + + new_C = (new base_module > + (simplified_complex_generators (new_n, C, new_C_to_C_generator))); + new_d = mod_map (new_C); + + for (unsigned i = 1; i <= new_n; i ++) + { + unsigned i0 = new_C_to_C_generator[i]; + + for (linear_combination_const_iter j0 = new_d0[i0]; j0; j0 ++) + { + unsigned j = C_to_new_C_generator[j0.key ()]; + assert (j != 0); + + new_d[i].muladd (j0.val (), j); + } + } + + if (build_pi_iota) + { + pi = mod_map (C, new_C); + iota = mod_map (new_C, C); + + for (unsigned i0 = 1; i0 <= n; i0 ++) + { + for (linear_combination_const_iter j0 = pi0[i0]; j0; j0 ++) + { + unsigned j = C_to_new_C_generator[j0.key ()]; + pi[i0].muladd (j0.val (), j); + } + } + + for (unsigned i = 1; i <= new_n; i ++) + { + unsigned i0 = new_C_to_C_generator[i]; + iota[i] = iota0[i0]; + } + +#if 0 // expensive + assert (pi.compose (d) == new_d.compose (pi)); + assert (d.compose (iota) == iota.compose (new_d)); +#endif + } +} + +class sseq_builder +{ + private: + typedef Z2::linear_combination linear_combination; + // typedef Z2::linear_combination_iter linear_combination_iter; + typedef Z2::linear_combination_const_iter linear_combination_const_iter; + + public: + ptr > C; + + ullmanset<1> present; + basedvector, 1> im, preim; + + void cancel (unsigned i, unsigned j); + void cancel (unsigned d); + linear_combination lc (const set &s); + bool im_zero (); + +public: + sseq_builder (const ptr > &C_, const mod_map &d); + + sseq build_sseq (); +}; diff --git a/testlib.cpp b/testlib.cpp new file mode 100644 index 0000000..d9640cb --- /dev/null +++ b/testlib.cpp @@ -0,0 +1,422 @@ + +#include + +void +test_vector () +{ + basedvector v; + assert (v.size () == 0); + assert (v.capacity () == 0); + + v.append (69); + assert (v.size () == 1); + assert (v[1] == 69); + + v.append (8); + v.append (13); + assert (v.pop () == 13); + assert (v.pop () == 8); + v.append (14); + v.append (17); + v.append (36); + v.append (101); + assert (v.size () == 5); + assert (v.pop () == 101); + assert (v.pop () == 36); + assert (v.pop () == 17); + assert (v.pop () == 14); + assert (v.pop () == 69); + assert (v.size () == 0); + + v = basedvector (); + assert (v.size () == 0); + assert (v.capacity () == 0); + + v.append (69); + v.append (14); + v.append (17); + v.append (36); + v.append (101); + assert (v.size () == 5); + + v.resize (10); + assert (v.size () == 10); + assert (v.capacity () >= v.size ()); + + assert (v[1] == 69); + assert (v[2] == 14); + assert (v[3] == 17); + assert (v[4] == 36); + assert (v[5] == 101); + + v[1] = 52; + v[2] = 666; + v[3] = 55559; + v[4] = 1721; + v[5] = -24; + v[6] = 8893; + v[7] = 42; + v[8] = 173; + v[9] = 115; + v[10] = 382; + + /* shared */ + basedvector v2 (v); + assert (v2.size () == 10); + for (int i = 1; i <= 10; i ++) + assert (v2[i] == v[i]); + + assert (v2[8] == 173); + v[8] = 174; + assert (v2[8] == 174); + + basedvector u (COPY, v); + assert (u.size () == 10); + for (int i = 1; i <= 10; i ++) + assert (u[i] == v[i]); + + int x[6] = { 7, 4, 2, 3, 9, 1 }; + basedvector w (4, x); + assert (w.size () == 4); + for (int i = 0; i < 4; i ++) + assert (w[i + 1] == x[i]); + + basedvector y (6, v); + assert (y.size () == 6); + for (int i = 1; i <= 6; i ++) + assert (y[i] == v[i]); + + y = w; + assert (y.size () == 4); + for (int i = 1; i <= 4; i ++) + assert (y[i] == w[i]); +} + +void +test_bitset () +{ + bitset s; + assert (s.size () == 0); + assert (s.card () == 0); + + bitset t (100); + assert (t.size () == 100); + assert (t.card () == 0); + t.push (52); + t.push (1); + t.push (31); + t.push (32); + t.push (100); + t.push (63); + t.push (7); + + int c = 0; + for (bitset_const_iter i = t; i; i ++) + { + assert (t(i.val ())); + c ++; + } + assert (c == 7); + + assert (t.card () == 7); + + assert (t(52)); + assert (t(1)); + assert (t(31)); + assert (t(32)); + assert (t(100)); + assert (t(63)); + assert (t(7)); + + assert (!t(2)); + assert (!t(15)); + assert (!t(47)); + assert (!t(99)); + + t -= 52; + t -= 63; + t -= 7; + t += 100; + t += 82; + t -= 47; + assert (t.card () == 5); + assert (!t(52)); + assert (!t(63)); + assert (!t(7)); + assert (!t(47)); + assert (t(100)); + assert (t(82)); + + bitset u (t); + assert (u.size () == 100); + assert (u.card () == 5); +} + +template void +test_unsignedset1 () +{ + unsignedset1 s (94); + assert (s.card () == 0); + + unsignedset1 t (300); + assert (t.card () == 0); + t.push (52); + t.push (1); + t.push (31); + t.push (32); + t.push (33); + t.push (63); + t.push (64); + t.push (65); + t.push (300); + t.push (299); + t.push (243); + t.push (172); + t.push (122); + t.push (70); + + int c = 0; + for (typename unsignedset1::const_iter i = t; i; i ++) + { + assert (t(i.val ())); + c ++; + } + assert (c == 14); + + assert (t.card () == 14); + + assert (t(52)); + assert (t(1)); + assert (t(31)); + assert (t(32)); + assert (t(33)); + assert (t(63)); + assert (t(64)); + assert (t(65)); + assert (t(300)); + assert (t(299)); + assert (t(243)); + assert (t(172)); + assert (t(122)); + assert (t(70)); + + assert (!t(2)); + assert (!t(15)); + assert (!t(47)); + assert (!t(99)); + assert (!t(127)); + assert (!t(128)); + assert (!t(129)); + + t -= 52; + t -= 63; + t -= 64; + t -= 65; + t -= 7; + t += 100; + t += 82; + t -= 47; + assert (t.card () == 12); + assert (!t(52)); + assert (!t(63)); + assert (!t(64)); + assert (!t(65)); + assert (!t(7)); + assert (!t(47)); + assert (t(100)); + assert (t(82)); + + unsignedset1 u (COPY, t); + assert (u.card () == 12); +} + +void +test_map () +{ + map m; + assert (m.card () == 0); + m.push (1, 7); + m.set (2, 9); + m[3] = 14; + m[4] = 23; + assert (m.card () == 4); + + assert (m % 1); + assert (m % 2); + assert (m % 3); + assert (m % 4); + assert (! (m % 5)); + + assert (m(1) == 7); + assert (m(2) == 9); + assert (m(3) == 14); + assert (m(4) == 23); + + m[2] = 17; + assert (m(2) == 17); + + int c = 0; + for (map::iter i = m; i; i ++) + { + int k = i.key (); + assert (k >= 1); + assert (k <= 4); + switch (k) + { + case 1: assert (i.val () == 7); break; + case 2: assert (i.val () == 17); break; + case 3: assert (i.val () == 14); break; + case 4: assert (i.val () == 23); break; + default: abort (); + } + c ++; + } + assert (c == 4); + + map n (COPY, m); + assert (n.card () == 4); + m[2] = 111; + assert (n(2) == 17); +} + +void +test_polynomial () +{ + vector coeffs (3); + coeffs[0] = 7; + coeffs[1] = 0; + coeffs[2] = 2; + polynomial p (coeffs); + p.show_self (); + printf ("\n"); + + polynomial q (coeffs); + q += p; + show (q); + printf ("\n"); + + q *= p; + show (q); + printf ("\n"); +} + +void +test_laurentpoly () +{ + vector c (3); + c[0] = 1; + c[1] = 0; + c[2] = 1; + laurentpoly p (-1, c); + + show (p); + printf ("\n"); + + p *= p; + show (p); + printf ("\n"); +} + +#if 0 +void +test_vs () +{ + grading gr; + gr.h = -1; + gr.q = 1; + + basedvector g5_gr (5); + g5_gr[1] = g5_gr[2] = g5_gr[3] = g5_gr[4] = g5_gr[5] = gr; + + basedvector, 1> gs5; + gs5.append (new euclideangenerator (1)); + gs5.append (new euclideangenerator (2)); + gs5.append (new euclideangenerator (3)); + gs5.append (new euclideangenerator (4)); + gs5.append (new euclideangenerator (5)); + ptr > e5 = new vectorspace (gs5, g5_gr); + printf ("e5: "); + e5->show_self (); + printf ("\n"); + + vselt x1 = e5->singleton (1); + x1 += e5->singleton (3); + + vselt x2 = e5->singleton (2); + x2 += e5->singleton (3); + x2 += e5->singleton (5); + + vselt x3 = e5->singleton (4); + x3 += e5->singleton (5); + + vselt x4 = e5->singleton (1); + x4 += e5->singleton (2); + x4 += e5->singleton (5); + + basedvector, 1> xs (4); + xs[1] = x1; + xs[2] = x2; + xs[3] = x3; + xs[4] = x4; + + ptr > vs3 = e5->subspace (xs); + assert (vs3->dim () == 3); + printf ("vs3: "); + vs3->show_self (); + printf ("\n"); + + basedvector g2_gr (2); + g2_gr[1] = g2_gr[2] = gr; + + basedvector, 1> gs2; + gs2.append (new euclideangenerator (1)); + gs2.append (new euclideangenerator (2)); + ptr > e2 = new vectorspace (gs2, g2_gr); + + basedvector g3_gr (3); + g3_gr[1] = g3_gr[2] = g3_gr[3] = gr; + + basedvector, 1> gs3; + gs3.append (new euclideangenerator (1)); + gs3.append (new euclideangenerator (2)); + gs3.append (new euclideangenerator (3)); + ptr > e3 = new vectorspace (gs3, g3_gr); + + basedvector, 1> cols (3); + cols[1] = e2->singleton (1); + cols[2] = e2->singleton (2); + vselt x5 = e2->singleton (1); + x5 += e2->singleton (2); + cols[3] = x5; + vsmap m (e3, e2, cols); + + ptr > mker = m.kernel (); + printf ("mker: "); + mker->show_self (); + printf ("\n"); +} +#endif + +void +test_fields () +{ + Q a (2, 1); + Q b (-2, 1); + a /= b; + assert (a == -1); +} + +int +main () +{ + test_vector (); + test_bitset (); + test_unsignedset1 (); + test_unsignedset1 (); + test_unsignedset1 > (); + test_map (); + test_polynomial (); + test_laurentpoly (); + // test_vs (); + test_fields (); +} diff --git a/todo.txt b/todo.txt new file mode 100644 index 0000000..cbac696 --- /dev/null +++ b/todo.txt @@ -0,0 +1,26 @@ +in knotkit/ + - twisted theory over U + - add homology orientations for odd Khovanov homology and spectral + sequence over Z + - unify smoothing, resolution_diagram wiring (and knot_diagram?) + - speed up construction of chain maps in chain_complex_simplifer + - move chain_complex_simplifier to algebra/ + - unify chain_complex_simplifer and build_sseq + - remove hardcoded limits (max_...) + - revive testlib + +in lib/ + - add hashset + - between interoperation between sets that require bounds (bitset, + ullmanset) and those that don't (set, hashset) + - add make_pair, etc. + +in algebra/ + - Q should use gmp + - laurentpoly interface needs to be cleand up + - add Zp + - linear_combnation can be more efficient (eg no searching when + coefficients die) + - monomial ideals and maybe groebner bases + - cleaner interface for gcd, etc. in fraction_field + - support kernel, cokernel of torsion modules

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