X-Git-Url: http://www.chiark.greenend.org.uk/ucgi/~ian/git?p=moebius2.git;a=blobdiff_plain;f=mgraph.h;h=e98fa850a53658bacf17ff452d03d2341c89afa9;hp=9f02e88c418438c682321d6d30ea916c0ac0ca9e;hb=97ef96dd318b684d829ac950403582788df427d8;hpb=96318dec79e12d23d718139bca74f5d33cd52253 diff --git a/mgraph.h b/mgraph.h index 9f02e88..e98fa85 100644 --- a/mgraph.h +++ b/mgraph.h @@ -1,100 +1,128 @@ +/* + * Graph topology + */ /* * Vertices in strip are numbered as follows: * - * ___ X-2 ___ X-1 ___ 0 ___ 1 ___ 2 ___ 3 ___ 4 __ - * Y-1 Y-1 0 0 0 0 0 - * / \ / \ / \ / \ / \ / \ / \ - * / \ / \ / \ / \ / \ / \ / \ - * X-3 ___ X-2 ___ X-1 ___ 0 ___ 1 ___ 2 ___ 3 ___ 4 - * Y-2 Y-2 Y-2 1 1 1 1 1 - * \ / \ / \ / \ / \ / \ / \ / - * \ / \ / \ / \ / \ / \ / \ / - * ___ X-3 ___ X-2 ___ X-1 ___ 0 ___ 1 ___ 2 ___ 3 __ - * Y-3 Y-3 Y-3 2 2 2 2 - * - * . . . . . . . . . . . . . . . - * - * X-4 ___ X-3 ___ X-2 ___ X-1 ___ 0 ___ 1 ___ 2 ___ 3 - * 1 1 1 1 Y-2 Y-2 Y-2 Y-2 - * \ / \ / \ / \ / \ / \ / \ / - * \ / \ / \ / \ / \ / \ / \ / - * ___ X-4 ___ X-3 ___ X-2 ___ X-1 ___ 0 ___ 1 ___ 2 __ - * 0 0 0 0 Y-1 Y-1 Y-1 + * :axis of symmetry + * | : + * | : + * ___ X-2 ___ X-1 ___| 0 ___ 1 ___ 2 ___ 3 ___ 4 __ + * Y-1 Y-1 |0: 0 0 0 0 + * / \ / \ / :\ / \ / \ / \ / \ + * / \ / \ /| : \ / \ / \ / \ / \ + * X-3 ___ X-2 ___ X-1|___ 0 ___ 1 ___ 2 ___ 3 ___ 4 + * Y-2 Y-2 Y-2| : 1 1 1 1 1 + * \ / \ / \| : / \ / \ / \ / \ / + * \ / \ / \ :/ \ / \ / \ / \ / + * ___ X-2 ___ X-1 ___| 0 ___ 1 ___ 2 ___ 3 __ 4 ___ + * Y-3 Y-3 |2: 2 2 2 2 + * / \ / \ / :\ / \ / \ / \ / \ + * / \ / \ /| : \ / \ / \ / \ / \ + * X-3 ___ X-2 ___ X-1|___ 0 ___ 1 ___ 2 ___ 3 ___ 4 + * Y-4 Y-4 Y-4| : 3 3 3 3 3 + * | : + * . . . . .| :. . . . . . . . . . + * | : + * ___ X-2 ___ X-1 ___| 0 ___ 1 ___ 2 ___ 3 ___ 4 ___ + * 2 2 |Y-3 Y-3 Y-3 Y-3 Y-3 + * / \ / \ / :\ / \ / \ / \ / \ + * / \ / \ /| : \ / \ / \ / \ / \ + * __ X-2 ___ X-1|___ 0 ___ 1 ___ 2 ___ 3 ___ 3 ___ 4 + * 1 1 | : Y-2 Y-2 Y-2 Y-2 Y-2 Y-2 + * / \ / \ / \| : / \ / \ / \ / \ / + * / \ / \ / \ :/ \ / \ / \ / \ / + * -3 ___ X-2 ___ X-1 ___| 0 ___ 1 ___ 2 ___ 3 ___ 4 ___ + * 0 0 0 |Y-1 Y-1 Y-1 Y-1 Y-1 + * | : + * | : + * | + * ^ join, where there is + * a discontinuity in numbering * * Node x,y for - * 0 <= x < X x = distance along - * 0 <= y < Y y = distance across + * 0 <= x < X = 2^XBITS x = distance along + * 0 <= y < Y = 2^YBITS-1 y = distance across * * Vertices are in reading order from diagram above ie x varies fastest. * - * Y must be even. The actual location opposite (0,0) is (X-(Y-1)/2,0), - * and likewise opposite (0,Y-1) is ((Y-1)/2,0). + * Note that though presentation above is equilateral triangles, this + * is not the case. It's actually a square lattice with half of the + * diagonals added. We can't straighten it out because at the join + * the diagonals point the other way! * * We label edges as follows: * - * \0 /1 - * \ / - * ___ 0 __ - * 2 1 3 - * / \ - * 4/ 5\ - * - * (This numbering permits the order-4 nodes at the strip's edge - * to have a contiguous edge numbering 2..5 or 0..3.) + * \2 /1 + * \ / + * ___ 0 __ + * 3 1 0 + * / \ + * 4/ 5\ * - * When we iterate over edges, we iterate first over vertices and then - * over edges 0 to 2, disregarding edges 3 to 5. + * vertex number: 0000 | y | x + * YBITS XBITS */ #ifndef MGRAPH_H #define MGRAPH_H -#define XBITS 4 -#define X (1<= 0, + * returns eprime s.t. v1==EDGE_END2(v2,eprime) */ +int edge_reverse(int v1, int e); -#define FOR_EDGE(v1,e,v2) \ - FOR_VERTEX((v1)) \ - FOR_VEDGE((v1),(e),(v2)) +#define RIM_VERTEX_P(v) (((v) & YMASK) == 0 || ((v) & YMASK) == (Y-1)*Y1) -#define FOR_COORD(k) \ - for ((k)=0; (k)