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rowminlex.cpp
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rowminlex.cpp
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//Code inspired by Glenn Fowler's sudoku solver/generator
//The original is published under the following license
/***********************************************************************
* This software is part of the ast package *
* Copyright (c) 2005-2009 AT&T Intellectual Property *
* and is licensed under the *
* Common Public License, Version 1.0 *
* by AT&T Intellectual Property *
* *
* A copy of the License is available at *
* http://www.opensource.org/licenses/cpl1.0.txt *
* (with md5 checksum 059e8cd6165cb4c31e351f2b69388fd9) *
* *
* Information and Software Systems Research *
* AT&T Research *
* Florham Park NJ *
* *
* Glenn Fowler <[email protected]> *
***********************************************************************/
//This is a MODIFIED version of the original code
#include <memory.h>
#include "rowminlex.h"
#include "tables.h"
void inline sort3desc(const int* s, int *t) {
if(s[0] >= s[1]) {
if(s[1] >= s[2]) {
t[0] = s[0], t[1] = s[1], t[2] = s[2];
}
else if(s[0] >= s[2]) {
t[0] = s[0], t[1] = s[2], t[2] = s[1];
}
else {
t[0] = s[2], t[1] = s[0], t[2] = s[1];
}
}
else if(s[1] >= s[2]) {
if(s[0] >= s[2]) {
t[0] = s[1], t[1] = s[0], t[2] = s[2];
}
else {
t[0] = s[1], t[1] = s[2], t[2] = s[0];
}
}
else {
t[0] = s[2], t[1] = s[1], t[2] = s[0];
}
}
void transformer::byGrid(const char* sol)
{
// register int b;
// register int d;
// register int i;
// register int j;
// register int k;
// register int l;
// register unsigned int v;
int b;
int d;
int i;
int j;
int k;
int l;
unsigned int v;
int pr;
int pc;
transformer test;
/* initialize the worst canonical candidate */
aut = 1;
box = 0;
for(i = 0; i < 9; i++) {
map[i] = 10;
row[i] = col[i] = i;
}
map[9] = 10;
/* search over all boxes */
for(b = 0; b < 18; b++) {
for(pr = 0; pr < 6; pr++) {
for(pc = 0; pc < 6; pc++) {
test.box = b;
/* initialize the map */
for(i = 0; i < 3; i++) {
test.row[i] = tc.perm[pr][i];
test.col[i] = tc.perm[pc][i];
}
for(i = 1; i <= 9; i++)
test.map[i] = 0;
test.map[(int)sol[tc.swap[b][test.row[0]][test.col[0]]]] = 1;
test.map[(int)sol[tc.swap[b][test.row[0]][test.col[1]]]] = 2;
test.map[(int)sol[tc.swap[b][test.row[0]][test.col[2]]]] = 3;
test.map[(int)sol[tc.swap[b][test.row[1]][test.col[0]]]] = 4;
test.map[(int)sol[tc.swap[b][test.row[1]][test.col[1]]]] = 5;
/* map value 6 and order cols 4&5&6 */
k = 0;
for(i = 3; i < 9; i++) {
if(test.map[(int)sol[tc.swap[b][test.row[0]][i]]] == 4) {
l = tc.boxOffset[i];
for(j = 0; j < 3; j++) {
switch (test.map[(int)sol[tc.swap[b][test.row[0]][j+l]]])
{
case 4:
test.col[3] = j+l;
k |= 01;
break;
case 5:
test.col[4] = j+l;
k |= 02;
break;
case 0:
test.map[(int)sol[tc.swap[b][test.row[0]][test.col[5]=j+l]]] = 6;
k |= 04;
break;
}
}
break;
}
}
if(k != 7)
goto next;
/* map values 7&8&9 */
for(j = 2; j < 6; j++) {
if(!test.map[(int)sol[tc.swap[b][test.row[1]][test.col[j]]]]) {
test.map[(int)sol[tc.swap[b][test.row[1]][test.col[j]]]] = k++;
}
}
/* check row 2 cols 3&4&5&6 */
for(j = 2; j < 6; j++) {
if((d = (int)test.map[(int)sol[tc.swap[b][test.row[1]][test.col[j]]]] - (int)map[(int)sol[tc.swap[box][row[1]][col[j]]]])) {
if(d > 0) {
goto next;
}
break;
}
}
/* order cols 7&8&9 */
j = (l == 3) ? 6 : 3;
k = j+1;
l = j+2;
if(test.map[(int)sol[tc.swap[b][test.row[0]][j]]] > test.map[(int)sol[tc.swap[b][test.row[0]][k]]]) {
v = j; j = k; k = v;
}
if(test.map[(int)sol[tc.swap[b][test.row[0]][j]]] > test.map[(int)sol[tc.swap[b][test.row[0]][l]]]) {
v = j; j = l; l = v;
}
if(test.map[(int)sol[tc.swap[b][test.row[0]][k]]] > test.map[(int)sol[tc.swap[b][test.row[0]][l]]]) {
v = k; k = l; l = v;
}
test.col[6] = j;
test.col[7] = k;
test.col[8] = l;
/* check row 2 cols 7&8&9 */
if(!d) {
for(j = 6; j < 9; j++) {
if((d = (int)test.map[(int)sol[tc.swap[b][test.row[1]][test.col[j]]]] - (int)map[(int)sol[tc.swap[box][row[1]][col[j]]]])) {
if(d > 0)
goto next;
break;
}
}
}
/* check row 3 */
if(!d) {
for(j = 0; j < 9; j++) {
if((d = (int)test.map[(int)sol[tc.swap[b][test.row[2]][test.col[j]]]] - (int)map[(int)sol[tc.swap[box][row[2]][col[j]]]])) {
if(d > 0) {
goto next;
}
break;
}
}
}
/* done with the first band */
/* order row 4 */
v = 10;
i = 9;
while (--i >= 3) {
if(test.map[(int)sol[tc.swap[b][i][test.col[0]]]] < v) {
v = test.map[(int)sol[tc.swap[b][i][test.col[0]]]];
k = i;
}
}
/* check row 4 */
if(!d) {
for(j = 0; j < 9; j++) {
if((d = (int)test.map[(int)sol[tc.swap[b][k][test.col[j]]]] - (int)map[(int)sol[tc.swap[box][row[3]][col[j]]]])) {
if(d > 0) {
goto next;
}
break;
}
}
}
test.row[3] = k;
/* order rows 5&6 */
if(test.map[(int)sol[tc.swap[b][tc.part[k][0]][test.col[0]]]] < test.map[(int)sol[tc.swap[b][tc.part[k][1]][test.col[0]]]]) {
test.row[4] = tc.part[k][0];
test.row[5] = tc.part[k][1];
}
else {
test.row[4] = tc.part[k][1];
test.row[5] = tc.part[k][0];
}
/* check rows 5&6 */
if(!d) {
for(i = 4; i < 6; i++) {
for(j = 0; j < 9; j++) {
if((d = (int)test.map[(int)sol[tc.swap[b][test.row[i]][test.col[j]]]] - (int)map[(int)sol[tc.swap[box][row[i]][col[j]]]])) {
if(d > 0) {
goto next;
}
i = 6;
break;
}
}
}
}
/* done with the second band */
/* order row 7 */
v = 10;
for(i = 2; i < 5; i++) {
if(test.map[(int)sol[tc.swap[b][tc.part[k][i]][test.col[0]]]] < v) {
v = test.map[(int)sol[tc.swap[b][tc.part[k][i]][test.col[0]]]];
l = tc.part[k][i];
}
}
/* check row 7 */
if(!d) {
for(j = 0; j < 9; j++) {
if((d = (int)test.map[(int)sol[tc.swap[b][l][test.col[j]]]] - (int)map[(int)sol[tc.swap[box][row[6]][col[j]]]])) {
if(d > 0) {
goto next;
}
break;
}
}
}
test.row[6] = l;
/* order rows 8&9 */
if(test.map[(int)sol[tc.swap[b][tc.part[l][0]][test.col[0]]]] < test.map[(int)sol[tc.swap[b][tc.part[l][1]][test.col[0]]]]) {
test.row[7] = tc.part[l][0];
test.row[8] = tc.part[l][1];
}
else {
test.row[7] = tc.part[l][1];
test.row[8] = tc.part[l][0];
}
/* check rows 8&9 */
if(!d) {
for(i = 7; i < 9; i++)
for(j = 0; j < 9; j++)
if((d = (int)test.map[(int)sol[tc.swap[b][test.row[i]][test.col[j]]]] - (int)map[(int)sol[tc.swap[box][row[i]][col[j]]]])) {
if(d > 0) {
goto next;
}
i = 9;
break;
}
}
/* check for automorphism */
if(d) {
clearAutomorphs();
*this = test;
aut = 1;
}
else {
addAutomorph(&test);
aut++;
}
next:
;
}
}
}
map[0] = 0;
}
struct subtransformer {
int transpose;
int bands[3];
int stacks[3];
int rows[3][3];
int cols[3][3];
int labels[9];
};
//const subtransformer esubtransformer = { //-1 = yet unknown
// 0,
// {-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}
//};
void transformer::byPuzzle(const char* sol) {}
//void transformer::byPuzzle(const char* sol)
//{
// register int b;
// register int d;
// register int i;
// register int j;
// register int k;
// register int l;
// register int v;
//
// int pr;
// int pc;
//
// //transformer test;
//
// //do some preprocessing
//
// //count the non-givens per triplet
// int maxNonGivensPerTriplet[54];
// //int maxNonGivensPerTriplets = 0;
// for(i = 0; i < 54; i++) {
// maxNonGivensPerTriplet[i] = 0;
// }
//
// for(i = 0; i < 81; i++) {
// if(0 == sol[i]) {
// maxNonGivensPerTriplet[3 * rowByCellIndex[i] + stackByCellIndex[i]]++;
// maxNonGivensPerTriplet[27 + 3 * colByCellIndex[i] + bandByCellIndex[i]]++;
// }
// }
//
// //for(i = 0; i < 54; i++) {
// // if(maxNonGivensPerTriplets < maxNonGivensPerTriplet[i]) {
// // maxNonGivensPerTriplets = maxNonGivensPerTriplet[i];
// // }
// //}
//
// //count the maximum adjacent non-givens per row & col
// //obtain max empty cells at the start of each band
// int maxNonGivensPerRow[18];
// int maxNonGivensPerBand[6];
// int maxNonGivensPerTranspose[2];
// int maxNonGivensPerRows = 0;
// int maxNonGivensPerBands = 0;
// int maxNonGivensPerTransposes = 0;
// int ord3[3];
// for(int band = 0, rc = 0; band < 6; band++) {
// for(int rowInBand = 0; rowInBand < 3; rowInBand++, rc++) {
// sort3desc(&maxNonGivensPerTriplet[3 * rc], ord3);
// int r = 0;
// for(int j = 0; j < 3; j++) {
// r += ord3[j];
// if(ord3[j] < 3) //non-empty triplet
// break;
// }
// maxNonGivensPerRow[rc] = r;
// if(maxNonGivensPerRows < r) {
// maxNonGivensPerRows = r;
// }
// }
// sort3desc(&maxNonGivensPerRow[rc - 3], ord3);
// int r = 0;
// for(int j = 0; j < 3; j++) {
// r += ord3[j];
// if(ord3[j] < 9) //non-empty row
// break;
// }
// maxNonGivensPerBand[band] = r;
// if(maxNonGivensPerBands < r) {
// maxNonGivensPerBands = r;
// }
// }
// for(int tr = 0; tr < 2; tr++) {
// sort3desc(&maxNonGivensPerBand[3 * tr], ord3);
// int r = 0;
// for(int j = 0; j < 3; j++) {
// r += ord3[j];
// if(ord3[j] < 27) //non-empty band
// break;
// }
// maxNonGivensPerTranspose[tr] = r;
// if(maxNonGivensPerTransposes < r) {
// maxNonGivensPerTransposes = r;
// }
// }
// //the information for the maximum non-givens at top is collected
//
//
// /* initialize the worst canonical candidate */
// //aut = 1;
// //box = 0;
// //for(i = 0; i < 9; i++) {
// // map[i] = 10;
// // row[i] = col[i] = i;
// //}
// //map[9] = 10;
// subtransformer test;
// char ttsol[81];
// const char (*tsol)[3][3][3][3] = (const char(*)[3][3][3][3])sol;
// for(int tr = 0; tr < 2; tr++) { //transpose
// if(maxNonGivensPerTranspose[tr] < maxNonGivensPerTransposes)
// continue;
// test = esubtransformer; //structure copy
// test.transpose = tr;
// if(tr) {
// tsol = (const char(*)[3][3][3][3])ttsol; //points to transposed puzzle
// for(int r = 0; r < 9; r++) {
// for(int c = 0; c < 9; c++) {
// (*(char(*)[9][9])ttsol)[r][c] = (*(const char(*)[9][9])sol)[c][r];
// }
// }
// }
// for(int topBand = 0; topBand < 3; topBand++) {
// if(maxNonGivensPerBand[3 * tr + topBand] < maxNonGivensPerBands)
// continue;
// test.bands[0] = topBand;
// int rowBase = 9 * tr + 3 * topBand;
// if(maxNonGivensPerBand[3 * tr + topBand] == 27) { //empty top band, row order doesn't matter
// test.rows[0][0] = test.rows[0][1] = test.rows[0][2] = rowBase; //map the first row of the empty band to all rows of band 1
// }
// else { //iterate row order of the top band
// for(int topRow = 0; topRow < 3; topRow++) {
// if(maxNonGivensPerRow[rowBase + topRow] < maxNonGivensPerRows)
// continue;
// test.rows[0][0] = topRow;
// switch(maxNonGivensPerRows / 3) { //empty triplets in the top row
// case 3: //empty top row
// if(maxNonGivensPerBands >= 18) { //2 empty rows
// for(int secRow = 0; secRow < 3; secRow++) {
// if(secRow == topRow)
// continue;
// if(maxNonGivensPerRow[rowBase + topRow] != 9)
// continue;
// test.rows[0][1] = secRow;
// for(int thirdRow = 0; thirdRow < 3; thirdRow++) {
// if(thirdRow == topRow)
// continue;
// if(thirdRow == secRow)
// continue;
// test.rows[0][2] = thirdRow;
// int tripletBase = 27 * tr + 9 * topBand + 3 * thirdRow;
// switch((maxNonGivensPerBands - 18) / 3) { //empty triplets in the third row
// case 2: //map the third stack and iterate its columns
// for(int nonemptyTriplet = 0; nonemptyTriplet < 3; nonemptyTriplet++) {
// if(maxNonGivensPerTriplet[tripletBase + nonemptyTriplet] < 3) {
// test.stacks[2] = nonemptyTriplet;
// switch(maxNonGivensPerTriplet[tripletBase + nonemptyTriplet]) {
// case 2:
// for(int c = 0; c < 3; c++) {
// if(char l1 = *tsol[topBand][thirdRow][nonemptyTriplet][c]) {
// test.cols[2][2] = c;
// test.labels[l1] = 1;
// break;
// }
// }
// //iterateRow();
// break;
// }
// break;
// }
// }
// break;
// case 1:
// break;
// default: //0
// break;
// }
// break;
// }
// break;
// }
// }
// break;
// case 2: //2 empty triplets
// break;
// case 1: //1 empty triplet
// break;
// default: //0 empty triplets
// }
// }
// }
//
//
// for(int midBand = 0; midBand < 3; midBand++) {
// if(midBand == topBand)
// continue;
// if(maxNonGivensPerBand[3 * tr + topBand] == 27) { //empty top band
// if(maxNonGivensPerBand[3 * tr + midBand] != 27 && //non-empty band
// maxNonGivensPerBand[3 * tr + midBand] + 27 < maxNonGivensPerTransposes) //this midBand is a wrong choice
// continue;
// }
// else { //non-empty top band
// }
// for(int bottomBand = 0; bottomBand < 3; bottomBand++) {
// if(bottomBand == topBand || bottomBand == midBand)
// continue;
// //we entered a band permutation starting with max empty cells
// //row, stack, and column permutations are still unknown
// }
// }
// }
// }
//
// return;
//
// /* search over all boxes */
//
//// for(b = 0; b < 18; b++) { //box permutation, 9 + transposed 9 = 18, which box is placed at top left
//// int tr = b / 9;
//// if(maxNonGivensPerTranspose[tr] < maxNonGivensPerTransposes)
//// continue;
//// int band = b / 3;
//// if(maxNonGivensPerBand[band] < maxNonGivensPerBands)
//// continue;
//// test.box = b;
//// for(pr = 0; pr < 6; pr++) { //row permutation for top left box
//// static const int topRowPerPermutationOfRow[6] = {0,0,1,2,1,2};
//// int toprow = band * 3 + topRowPerPermutationOfRow[pr];
//// if(maxNonGivensPerRow[toprow] < maxNonGivensPerRows)
//// continue;
//// //{ /* perm */
//// // { 0, 1, 2 },
//// // { 0, 2, 1 },
//// // { 1, 0, 2 },
//// // { 1, 2, 0 },
//// // { 2, 0, 1 },
//// // { 2, 1, 0 }
//// //},
////
//// for(i = 0; i < 3; i++) { // for first 3 rows, the permutation is the same as of the top left box
//// test.row[i] = tc.perm[pr][i];
//// }
//// for(pc = 0; pc < 6; pc++) { //column permutation for top left box
////
//// /* initialize the map */
////
//// for(i = 0; i < 3; i++) { // for first 3 columns, the permutation is the same as of the top left box
//// test.col[i] = tc.perm[pc][i];
//// }
//// for(i = 1; i <= 9; i++)
//// test.map[i] = 0;
//// test.map[sol[tc.swap[b][test.row[0]][test.col[0]]]] = 1;
//// test.map[sol[tc.swap[b][test.row[0]][test.col[1]]]] = 2;
//// test.map[sol[tc.swap[b][test.row[0]][test.col[2]]]] = 3;
//// test.map[sol[tc.swap[b][test.row[1]][test.col[0]]]] = 4;
//// test.map[sol[tc.swap[b][test.row[1]][test.col[1]]]] = 5;
////
//// /* map value 6 and order cols 4&5&6 */
////
//// k = 0;
//// for(i = 3; i < 9; i++) {
//// if(test.map[sol[tc.swap[b][test.row[0]][i]]] == 4) {
//// l = tc.boxOffset[i];
//// for(j = 0; j < 3; j++) {
//// switch (test.map[sol[tc.swap[b][test.row[0]][j+l]]])
//// {
//// case 4:
//// test.col[3] = j+l;
//// k |= 01;
//// break;
//// case 5:
//// test.col[4] = j+l;
//// k |= 02;
//// break;
//// case 0:
//// test.map[sol[tc.swap[b][test.row[0]][test.col[5]=j+l]]] = 6;
//// k |= 04;
//// break;
//// }
//// }
//// break;
//// }
//// }
//// if(k != 7)
//// goto next;
////
//// /* map values 7&8&9 */
////
//// for(j = 2; j < 6; j++) {
//// if(!test.map[sol[tc.swap[b][test.row[1]][test.col[j]]]]) {
//// test.map[sol[tc.swap[b][test.row[1]][test.col[j]]]] = k++;
//// }
//// }
////
//// /* check row 2 cols 3&4&5&6 */
////
//// for(j = 2; j < 6; j++) {
//// if((d = (int)test.map[sol[tc.swap[b][test.row[1]][test.col[j]]]] - (int)map[sol[tc.swap[box][row[1]][col[j]]]])) {
//// if(d > 0) {
//// goto next;
//// }
//// break;
//// }
//// }
////
//// /* order cols 7&8&9 */
////
//// j = (l == 3) ? 6 : 3;
//// k = j+1;
//// l = j+2;
//// if(test.map[sol[tc.swap[b][test.row[0]][j]]] > test.map[sol[tc.swap[b][test.row[0]][k]]]) {
//// v = j; j = k; k = v;
//// }
//// if(test.map[sol[tc.swap[b][test.row[0]][j]]] > test.map[sol[tc.swap[b][test.row[0]][l]]]) {
//// v = j; j = l; l = v;
//// }
//// if(test.map[sol[tc.swap[b][test.row[0]][k]]] > test.map[sol[tc.swap[b][test.row[0]][l]]]) {
//// v = k; k = l; l = v;
//// }
//// test.col[6] = j;
//// test.col[7] = k;
//// test.col[8] = l;
////
//// /* check row 2 cols 7&8&9 */
////
//// if(!d) {
//// for(j = 6; j < 9; j++) {
//// if((d = (int)test.map[sol[tc.swap[b][test.row[1]][test.col[j]]]] - (int)map[sol[tc.swap[box][row[1]][col[j]]]])) {
//// if(d > 0)
//// goto next;
//// break;
//// }
//// }
//// }
////
//// /* check row 3 */
////
//// if(!d) {
//// for(j = 0; j < 9; j++) {
//// if((d = (int)test.map[sol[tc.swap[b][test.row[2]][test.col[j]]]] - (int)map[sol[tc.swap[box][row[2]][col[j]]]])) {
//// if(d > 0) {
//// goto next;
//// }
//// break;
//// }
//// }
//// }
////
//// /* done with the first band */
////
//// /* order row 4 */
////
//// v = 10;
//// i = 9;
//// while (--i >= 3) {
//// if(test.map[sol[tc.swap[b][i][test.col[0]]]] < v) {
//// v = test.map[sol[tc.swap[b][i][test.col[0]]]];
//// k = i;
//// }
//// }
////
//// /* check row 4 */
////
//// if(!d) {
//// for(j = 0; j < 9; j++) {
//// if((d = (int)test.map[sol[tc.swap[b][k][test.col[j]]]] - (int)map[sol[tc.swap[box][row[3]][col[j]]]])) {
//// if(d > 0) {
//// goto next;
//// }
//// break;
//// }
//// }
//// }
//// test.row[3] = k;
////
//// /* order rows 5&6 */
////
//// if(test.map[sol[tc.swap[b][tc.part[k][0]][test.col[0]]]] < test.map[sol[tc.swap[b][tc.part[k][1]][test.col[0]]]]) {
//// test.row[4] = tc.part[k][0];
//// test.row[5] = tc.part[k][1];
//// }
//// else {
//// test.row[4] = tc.part[k][1];
//// test.row[5] = tc.part[k][0];
//// }
////
//// /* check rows 5&6 */
////
//// if(!d) {
//// for(i = 4; i < 6; i++) {
//// for(j = 0; j < 9; j++) {
//// if((d = (int)test.map[sol[tc.swap[b][test.row[i]][test.col[j]]]] - (int)map[sol[tc.swap[box][row[i]][col[j]]]])) {
//// if(d > 0) {
//// goto next;
//// }
//// i = 6;
//// break;
//// }
//// }
//// }
//// }
////
//// /* done with the second band */
////
//// /* order row 7 */
////
//// v = 10;
//// for(i = 2; i < 5; i++) {
//// if(test.map[sol[tc.swap[b][tc.part[k][i]][test.col[0]]]] < v) {
//// v = test.map[sol[tc.swap[b][tc.part[k][i]][test.col[0]]]];
//// l = tc.part[k][i];
//// }
//// }
////
//// /* check row 7 */
////
//// if(!d) {
//// for(j = 0; j < 9; j++) {
//// if((d = (int)test.map[sol[tc.swap[b][l][test.col[j]]]] - (int)map[sol[tc.swap[box][row[6]][col[j]]]])) {
//// if(d > 0) {
//// goto next;
//// }
//// break;
//// }
//// }
//// }
//// test.row[6] = l;
////
//// /* order rows 8&9 */
////
//// if(test.map[sol[tc.swap[b][tc.part[l][0]][test.col[0]]]] < test.map[sol[tc.swap[b][tc.part[l][1]][test.col[0]]]]) {
//// test.row[7] = tc.part[l][0];
//// test.row[8] = tc.part[l][1];
//// }
//// else {
//// test.row[7] = tc.part[l][1];
//// test.row[8] = tc.part[l][0];
//// }
////
//// /* check rows 8&9 */
////
//// if(!d) {
//// for(i = 7; i < 9; i++)
//// for(j = 0; j < 9; j++)
//// if((d = (int)test.map[sol[tc.swap[b][test.row[i]][test.col[j]]]] - (int)map[sol[tc.swap[box][row[i]][col[j]]]])) {
//// if(d > 0) {
//// goto next;
//// }
//// i = 9;
//// break;
//// }
//// }
////
//// /* check for automorphism */
////
//// if(d) {
//// clearAutomorphs();
//// *this = test;
//// aut = 1;
//// }
//// else {
//// addAutomorph(&test);
//// aut++;
//// }
////next:
//// ;
//// }
//// }
//// }
//// map[0] = 0;
//}
void transformer::byBand(const char* sol, const int band)
{
// register int b;
// register int d;
// register int i;
// register int j;
// register int k;
// register int l;
// register unsigned int v;
int b;
int d;
int i;
int j;
int k;
int l;
unsigned int v;
int pr;
int pc;
static const int bandbox[6][3] = {{0,1,2},{3,4,5},{6,7,8},{9,10,11},{12,13,14},{15,16,17}};
transformer test;
/* initialize the worst canonical candidate */
aut = 1;
box = 0;
for(i = 0; i < 9; i++) {
map[i] = 10;
row[i] = col[i] = i;
}
map[9] = 10;
/* search over all boxes */
for(b = bandbox[band][0]; b <= bandbox[band][2]; b++) {
for(pr = 0; pr < 6; pr++) {
for(pc = 0; pc < 6; pc++) {
test.box = b;
/* initialize the map */
for(i = 0; i < 3; i++) {
test.row[i] = tc.perm[pr][i];
test.col[i] = tc.perm[pc][i];
}
for(i = 1; i <= 9; i++)
test.map[i] = 0;
test.map[(int)sol[tc.swap[b][test.row[0]][test.col[0]]]] = 1;
test.map[(int)sol[tc.swap[b][test.row[0]][test.col[1]]]] = 2;
test.map[(int)sol[tc.swap[b][test.row[0]][test.col[2]]]] = 3;
test.map[(int)sol[tc.swap[b][test.row[1]][test.col[0]]]] = 4;
test.map[(int)sol[tc.swap[b][test.row[1]][test.col[1]]]] = 5;
/* map value 6 and order cols 4&5&6 */
k = 0;
for(i = 3; i < 9; i++) {
if(test.map[(int)sol[tc.swap[b][test.row[0]][i]]] == 4) {
l = tc.boxOffset[i];
for(j = 0; j < 3; j++) {
switch (test.map[(int)sol[tc.swap[b][test.row[0]][j+l]]])
{
case 4:
test.col[3] = j+l;
k |= 01;
break;
case 5:
test.col[4] = j+l;
k |= 02;
break;
case 0:
test.map[(int)sol[tc.swap[b][test.row[0]][test.col[5]=j+l]]] = 6;
k |= 04;
break;
}
}
break;
}
}
if(k != 7)
goto next;
/* map values 7&8&9 */
for(j = 2; j < 6; j++) {
if(!test.map[(int)sol[tc.swap[b][test.row[1]][test.col[j]]]]) {
test.map[(int)sol[tc.swap[b][test.row[1]][test.col[j]]]] = k++;
}
}
/* check row 2 cols 3&4&5&6 */
for(j = 2; j < 6; j++) {
if((d = (int)test.map[(int)sol[tc.swap[b][test.row[1]][test.col[j]]]] - (int)map[(int)sol[tc.swap[box][row[1]][col[j]]]])) {
if(d > 0) {
goto next;
}
break;
}
}
/* order cols 7&8&9 */
j = (l == 3) ? 6 : 3;
k = j+1;
l = j+2;
if(test.map[(int)sol[tc.swap[b][test.row[0]][j]]] > test.map[(int)sol[tc.swap[b][test.row[0]][k]]]) {
v = j; j = k; k = v;
}
if(test.map[(int)sol[tc.swap[b][test.row[0]][j]]] > test.map[(int)sol[tc.swap[b][test.row[0]][l]]]) {
v = j; j = l; l = v;
}
if(test.map[(int)sol[tc.swap[b][test.row[0]][k]]] > test.map[(int)sol[tc.swap[b][test.row[0]][l]]]) {
v = k; k = l; l = v;
}
test.col[6] = j;
test.col[7] = k;
test.col[8] = l;
/* check row 2 cols 7&8&9 */
if(!d) {
for(j = 6; j < 9; j++) {
if((d = (int)test.map[(int)sol[tc.swap[b][test.row[1]][test.col[j]]]] - (int)map[(int)sol[tc.swap[box][row[1]][col[j]]]])) {
if(d > 0)
goto next;
break;
}
}
}
/* check row 3 */
if(!d) {
for(j = 0; j < 9; j++) {
if((d = (int)test.map[(int)sol[tc.swap[b][test.row[2]][test.col[j]]]] - (int)map[(int)sol[tc.swap[box][row[2]][col[j]]]])) {
if(d > 0) {
goto next;
}
break;
}
}
}
/* done with the first band */
/* order row 4 */
v = 10;
i = 9;
while (--i >= 3) {
if(test.map[(int)sol[tc.swap[b][i][test.col[0]]]] < v) {
v = test.map[(int)sol[tc.swap[b][i][test.col[0]]]];
k = i;
}
}
/* check row 4 */
if(!d) {
for(j = 0; j < 9; j++) {
if((d = (int)test.map[(int)sol[tc.swap[b][k][test.col[j]]]] - (int)map[(int)sol[tc.swap[box][row[3]][col[j]]]])) {
if(d > 0) {
goto next;
}
break;
}
}
}
test.row[3] = k;
/* order rows 5&6 */
if(test.map[(int)sol[tc.swap[b][tc.part[k][0]][test.col[0]]]] < test.map[(int)sol[tc.swap[b][tc.part[k][1]][test.col[0]]]]) {
test.row[4] = tc.part[k][0];
test.row[5] = tc.part[k][1];
}
else {
test.row[4] = tc.part[k][1];
test.row[5] = tc.part[k][0];
}
/* check rows 5&6 */
if(!d) {
for(i = 4; i < 6; i++) {
for(j = 0; j < 9; j++) {
if((d = (int)test.map[(int)sol[tc.swap[b][test.row[i]][test.col[j]]]] - (int)map[(int)sol[tc.swap[box][row[i]][col[j]]]])) {
if(d > 0) {
goto next;
}
i = 6;
break;
}
}
}
}
/* done with the second band */