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CourseDesign

Copyright © 2019 icegrave0391. All rights reserved.
四种功能实现模块 :

  • CNF范式求解模块

DPLL

  • 数独游戏生成模块

LasVegas + 挖洞

  • 文件操作模块

extern int totalLiteralCount, totalClauseCount读取信息

  • 数独转化SAT问题

minimal encoing + extended encoding

DataStructure

这里Clause以及Formula 均使用单链表实现,如想参考其他版本,移步其他branch
branch DPLLOptimize : Clause使用数组,Formula使用链表
branch DPLLOptimize3 : Clause使用数组,Formula使用链表, 同时加入Literal Stack以及指向Clauseliteral pointer array

API Clause

enum LiteralContainStatus{
    LiteralContainStatusNotContain = 0,
    LiteralContainStatusContain,
    LiteralContainStatusContainInverse
//    LiteralContainStatusContainBoth
};

typedef enum LiteralContainStatus LiteralContainStatus;

#pragma mark - Clause struct
struct Clause{
    int literal ;
    struct Clause * next ;
}  ;
typedef struct Clause Clause;
typedef Clause * clause ;

//clause operate functions

//clause createClause(int literalNum, ClauseStatus clsStatus, int * literals) ;
int initClause(clause * cls) ;
clause createClause(int literalNum, int * literals) ;
clause deepCpyClause(clause aclause) ;
//int destoryClause(clause cls) ;
int isUnitClause (Clause cls) ;
int isEmptyClause(Clause cls) ;
LiteralContainStatus literalStatusWithClause(Clause Cls, int literal) ;
void deleteLiteral(clause * cls, int literal) ;
int findRandomLiteral(clause cls) ;
int findFirstLiteral(clause cls) ;
void addLiteral(clause * cls, int literal) ;

API Formula

enum DeleteClauseStatus{
    DeleteClauseStatusNotFound = 0,
    DeleteClauseStatusSuccessful
};
typedef enum DeleteClauseStatus DeleteClauseStatus;
#pragma mark - structure
struct FormulaNode{
    clause clause ;
    struct FormulaNode * next ;
};
typedef struct FormulaNode * formulaList;

// Formula functions
int init(formulaList * ls) ;
int isFormulaEmpty(formulaList Ls) ;
int clauseNum(formulaList Ls) ;

int emptyClauseInFormula(formulaList Ls) ;
#pragma mark - clause operations
void addClause(formulaList * ls, clause cls) ;
void addUnitClause(formulaList * ls, clause cls) ;

DeleteClauseStatus deleteClause(formulaList * ls, clause cls) ;
clause findUnitClause(formulaList Ls) ;
clause findFirstStillClase(formulaList Ls) ;
#pragma mark - formula cpy
formulaList deepCpyFormulaList(formulaList Ls) ;

DPLL

最终版本:深复制 + 递归回溯(使用深复制),如想参考其他版本,移步其他branch
DPLLOptimize3 : 递归回溯 + pop stack undo复原状态

  • 文字最终解 : extern int * allLiteralArr

CNFFileManager

formulaList loadCNFFileFormula(char * filePath) ;

解析CNF文件,并返回其存储公式

int exportDPLLResultFile(char * filePath, int * literalsArr, int DPLLResult, double timeinterval) ;

将公式最终解导出.res文件
DPLLResult对应返回值有无解, timeinterval对应clock

SudokuTransfer

API

//this method create beginning board to both constraints .sud file and .cnf file    
//数独转化SAT(生成.sud数独约束文件 以及.cnf 求解文件)
int transferConstraintToFile(int sudoku[9][9]) ;    

//should only be sudoku constraint literal (111 - 999 without number 0)    

int mapSudokuToLiteral(int sudoku) ;    
int mapLiteralToSudoku(int literal) ;    

// this method should only be used in .res file    
void transferSudokuAnswer(char * filePath) ;

#pragma mark - create sudoku & beginning board

//数独求解器
int DFSSovleSudoku(int sudokuBoard[9][9], int r[9][10], int c[9][10], int b[9][10]) ;
// n means write n random nums 填数(11+)的拉斯维加斯算法
int lasVegasCreateSudoku(int n) ;

//挖洞
void generateSudokuByDigHoles(int remains) ;
//判断是否唯一解
int uniqueSolution(int row, int line) ;

数独生成器(初盘) : extern int sudokuBoard[row][col]
数独答案终盘 : extern int sudokuSolution[row][col]

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