c语言稀疏矩阵运算器使用十字链表算法

实现稀疏矩阵运算器可以使用十字链表算法，具体步骤如下：

1. 定义稀疏矩阵的节点类型：

typedef struct Node {
    int row;    // 行号
    int col;    // 列号
    int value;  // 值
    struct Node *right, *down;  // 指向右边和下面节点的指针
} Node, *PNode;

2. 定义稀疏矩阵类型：

typedef struct {
    int rows;   // 行数
    int cols;   // 列数
    PNode *row_heads;   // 每行的头节点
    PNode *col_heads;   // 每列的头节点
} SparseMatrix, *PSparseMatrix;

3. 初始化稀疏矩阵：

PSparseMatrix initSparseMatrix(int rows, int cols) {
    PSparseMatrix matrix = (PSparseMatrix) malloc(sizeof(SparseMatrix));
    matrix->rows = rows;
    matrix->cols = cols;
    matrix->row_heads = (PNode *) malloc(sizeof(PNode) * rows);
    matrix->col_heads = (PNode *) malloc(sizeof(PNode) * cols);
    for (int i = 0; i < rows; i++) {
        matrix->row_heads[i] = (PNode) malloc(sizeof(Node));
        matrix->row_heads[i]->right = NULL;
        matrix->row_heads[i]->down = NULL;
    }
    for (int i = 0; i < cols; i++) {
        matrix->col_heads[i] = (PNode) malloc(sizeof(Node));
        matrix->col_heads[i]->right = NULL;
        matrix->col_heads[i]->down = NULL;
    }
    return matrix;
}

4. 插入稀疏矩阵节点：

void insertSparseMatrixNode(PSparseMatrix matrix, int row, int col, int value) {
    PNode node = (PNode) malloc(sizeof(Node));
    node->row = row;
    node->col = col;
    node->value = value;

    PNode row_head = matrix->row_heads[row];
    PNode col_head = matrix->col_heads[col];
    PNode row_prev = row_head, col_prev = col_head;
    while (row_prev->right && row_prev->right->col < col) {
        row_prev = row_prev->right;
    }
    while (col_prev->down && col_prev->down->row < row) {
        col_prev = col_prev->down;
    }
    node->right = row_prev->right;
    node->down = col_prev->down;
    row_prev->right = node;
    col_prev->down = node;
}

5. 稀疏矩阵相加：

PSparseMatrix addSparseMatrix(PSparseMatrix matrix1, PSparseMatrix matrix2) {
    PSparseMatrix result = initSparseMatrix(matrix1->rows, matrix1->cols);

    for (int i = 0; i < matrix1->rows; i++) {
        PNode node1 = matrix1->row_heads[i]->right;
        PNode node2 = matrix2->row_heads[i]->right;
        PNode result_prev = result->row_heads[i];
        while (node1 || node2) {
            PNode node;
            if (node1 && (!node2 || node1->col < node2->col)) {
                node = (PNode) malloc(sizeof(Node));
                node->row = i;
                node->col = node1->col;
                node->value = node1->value;
                node1 = node1->right;
            } else if (node2 && (!node1 || node2->col < node1->col)) {
                node = (PNode) malloc(sizeof(Node));
                node->row = i;
                node->col = node2->col;
                node->value = node2->value;
                node2 = node2->right;
            } else {
                node = (PNode) malloc(sizeof(Node));
                node->row = i;
                node->col = node1->col;
                node->value = node1->value + node2->value;
                node1 = node1->right;
                node2 = node2->right;
            }
            node->right = result_prev->right;
            result_prev->right = node;
            result_prev = node;
        }
    }
    return result;
}

6. 打印稀疏矩阵：

void printSparseMatrix(PSparseMatrix matrix) {
    for (int i = 0; i < matrix->rows; i++) {
        PNode node = matrix->row_heads[i]->right;
        for (int j = 0; j < matrix->cols; j++) {
            if (node && node->col == j) {
                printf("%d ", node->value);
                node = node->right;
            } else {
                printf("0 ");
            }
        }
        printf("\n");
    }
}

以上就是使用十字链表算法实现稀疏矩阵运算器的基本步骤，可以根据需要进行修改和扩展。