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【C语言】矩阵乘法

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【C语言】矩阵乘法

最近看离散数学,讲图的时候觉得矩阵相乘算起来很麻烦,写了个代码帮忙跑一下,因为是学习用的,所以只写了正方矩阵的,main前四行为输入的参数,四个函数分别是,矩阵乘法,矩阵n次幂,矩阵n次幂相加,遍历

#include 
#include 

int** MatrixMul(int** ma1, int** ma2, int line) {
	int** matrix = (int**)malloc(sizeof(int*) * line);
	for (int i = 0; i < line; i++) {
		matrix[i] = (int*)malloc(sizeof(int) * line);
		for (int j = 0; j < line; j++) {
			matrix[i][j] = 0;
		}
	}
	for (int i = 0; i < line; i++) {
		for (int j = 0; j < line; j++) {
			for (int k = 0; k < line; k++) {
				matrix[i][j] += ma1[i][k] * ma2[k][j];
			}
		}
	}
	return matrix;
}

int** MatrixMulN(int** ma, int line, int n) {
	int** matrix1 = (int**)malloc(sizeof(int*) * line);
	for (int i = 0; i < line; i++) {
		matrix1[i] = (int*)malloc(sizeof(int) * line);
		for (int j = 0; j < line; j++) {
			matrix1[i][j] = 0;
		}
	}
	matrix1 = MatrixMul(ma, ma, line);
	for (int i = 0; i < n - 2; i++) {
		matrix1 = MatrixMul(matrix1, ma, line);
	}
	return matrix1;
}

int** MatrixMulNadd(int** ma, int line, int n) {
	int** matrix2 = (int**)malloc(sizeof(int*) * line);
	for (int i = 0; i < line; i++) {
		matrix2[i] = (int*)malloc(sizeof(int) * line);
		for (int j = 0; j < line; j++) {
			matrix2[i][j] = ma[i][j];
		}
	}
	int** ans;
	for (int i = 2; i < n+1; i++) {
		ans = MatrixMulN(ma, line, i);
		for (int j = 0; j < line; j++) {
			for (int k = 0; k < line; k++) {
				matrix2[j][k] += ans[j][k];
			}
		}
	}
	return matrix2;
}

void ErgodicMatrix(int** matrix, int line) {
	for (int i = 0; i < line; i++) {
		for (int j = 0; j < line; j++) {
			printf("%dt", matrix[i][j]);
		}
		printf("n");
	}
	printf("n");
}

int main() {
	int matrix[4][4] = { {0,1,1,0}, {1,0,1,1}, {1,0,0,0}, {0,0,0,1} };
	int line = 4;
	int n = 4;
	int* p[4];

	for (int i = 0; i < line; i++) {
		p[i] = matrix[i];
	}
	int** ans;
	ans = MatrixMul(p, p, line);		//矩阵相乘
	ErgodicMatrix(ans, line);
	ans = MatrixMulN(p, line, n);		//矩阵n次幂
	ErgodicMatrix(ans, line);
	ans = MatrixMulNadd(p, line, n);	//矩阵n次幂相加
	ErgodicMatrix(ans, line);
	return 0;
}

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