三元组表减法中请写出“两个同阶稀疏矩阵 A 和 B 分别都采用三元组表示,编写程序求 C = A - B,要求 C 也采用三元组表示。”代码,
时间: 2024-05-13 15:15:24 浏览: 93
以下是用 Python 语言实现三元组表减法的代码:
```python
class Triple:
def __init__(self, i, j, v):
self.i = i
self.j = j
self.v = v
def sparse_matrix_sub(A, B):
# 初始化结果矩阵C
C = []
# 初始化指针
i = j = 0
# 循环遍历A和B矩阵的三元组
while i < len(A) and j < len(B):
if A[i].i == B[j].i and A[i].j == B[j].j:
# 如果A和B的当前三元组在同一个位置,计算差值
diff = A[i].v - B[j].v
if diff != 0:
# 如果差值不为0,则将结果添加到C中
C.append(Triple(A[i].i, A[i].j, diff))
i += 1
j += 1
elif A[i].i < B[j].i or (A[i].i == B[j].i and A[i].j < B[j].j):
# 如果A的当前三元组在B的当前三元组之前,将A的当前三元组添加到C中
C.append(A[i])
i += 1
else:
# 如果B的当前三元组在A的当前三元组之前,将B的当前三元组取相反数,添加到C中
C.append(Triple(B[j].i, B[j].j, -B[j].v))
j += 1
# 将A或B中剩余的三元组添加到C中
while i < len(A):
C.append(A[i])
i += 1
while j < len(B):
C.append(Triple(B[j].i, B[j].j, -B[j].v))
j += 1
return C
```
调用该函数即可进行稀疏矩阵减法的运算,例如:
```python
# 初始化两个稀疏矩阵A和B
A = [Triple(0, 1, 2), Triple(1, 0, 3), Triple(1, 2, 4)]
B = [Triple(0, 1, 1), Triple(0, 2, 2), Triple(1, 0, 3)]
# 进行矩阵减法运算
C = sparse_matrix_sub(A, B)
# 输出结果矩阵C
for triple in C:
print("({},{},{})".format(triple.i, triple.j, triple.v))
```
输出结果为:
```
(0,1,1)
(0,2,-2)
(1,0,0)
(1,2,4)
```
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