已知稀疏矩阵A和B,编程代码实现基于三元组顺序表实现A+B的运算
时间: 2024-02-22 15:00:36 浏览: 63
以下是基于三元组顺序表实现稀疏矩阵A+B的Python代码:
```python
class SparseMatrix:
def __init__(self, numRows, numCols, triplets):
self.numRows = numRows
self.numCols = numCols
self.triplets = triplets
def __add__(self, other):
if self.numRows != other.numRows or self.numCols != other.numCols:
raise ValueError("Matrices have different shapes")
i, j, k = 0, 0, 0
result_triplets = []
while i < len(self.triplets) and j < len(other.triplets):
if self.triplets[i][0] < other.triplets[j][0] or \
(self.triplets[i][0] == other.triplets[j][0] and self.triplets[i][1] < other.triplets[j][1]):
result_triplets.append(self.triplets[i])
i += 1
elif self.triplets[i][0] > other.triplets[j][0] or \
(self.triplets[i][0] == other.triplets[j][0] and self.triplets[i][1] > other.triplets[j][1]):
result_triplets.append(other.triplets[j])
j += 1
else:
result_triplets.append((self.triplets[i][0], self.triplets[i][1], self.triplets[i][2] + other.triplets[j][2]))
i += 1
j += 1
while i < len(self.triplets):
result_triplets.append(self.triplets[i])
i += 1
while j < len(other.triplets):
result_triplets.append(other.triplets[j])
j += 1
return SparseMatrix(self.numRows, self.numCols, result_triplets)
```
其中,类SparseMatrix表示稀疏矩阵,triplets是三元组列表,每个元素是一个三元组(i, j, value),表示在(i, j)位置上的值为value。__add__方法实现了两个稀疏矩阵相加的操作。具体实现过程为,遍历两个矩阵的三元组列表,按照行列坐标的大小关系进行合并,如果行列坐标相同,则将两个值相加。最后,将合并后的三元组列表构造成新的稀疏矩阵返回。
可以使用以下代码进行测试:
```python
a = SparseMatrix(3, 3, [(0, 0, 1), (1, 1, 2)])
b = SparseMatrix(3, 3, [(0, 1, 3), (2, 2, 4)])
c = a + b
print(c.triplets) # [(0, 0, 1), (0, 1, 3), (1, 1, 2), (2, 2, 4)]
```
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