# sum_of_squares([10, 20, 30]) -> 1400
return math.sumprod(*tee(it))
- def transpose(it):
- "Swap the rows and columns of the input."
+ def reshape(matrix, cols):
+ "Reshape a 2-D matrix to have a given number of columns."
+ # reshape([(0, 1), (2, 3), (4, 5)], 3) --> (0, 1, 2), (3, 4, 5)
+ return batched(chain.from_iterable(matrix), cols)
+
+ def transpose(matrix):
+ "Swap the rows and columns of a 2-D matrix."
# transpose([(1, 2, 3), (11, 22, 33)]) --> (1, 11) (2, 22) (3, 33)
- return zip(*it, strict=True)
+ return zip(*matrix, strict=True)
def matmul(m1, m2):
"Multiply two matrices."
>>> sum_of_squares([10, 20, 30])
1400
+ >>> list(reshape([(0, 1), (2, 3), (4, 5)], 3))
+ [(0, 1, 2), (3, 4, 5)]
+ >>> M = [(0, 1, 2, 3), (4, 5, 6, 7), (8, 9, 10, 11)]
+ >>> list(reshape(M, 1))
+ [(0,), (1,), (2,), (3,), (4,), (5,), (6,), (7,), (8,), (9,), (10,), (11,)]
+ >>> list(reshape(M, 2))
+ [(0, 1), (2, 3), (4, 5), (6, 7), (8, 9), (10, 11)]
+ >>> list(reshape(M, 3))
+ [(0, 1, 2), (3, 4, 5), (6, 7, 8), (9, 10, 11)]
+ >>> list(reshape(M, 4))
+ [(0, 1, 2, 3), (4, 5, 6, 7), (8, 9, 10, 11)]
+ >>> list(reshape(M, 6))
+ [(0, 1, 2, 3, 4, 5), (6, 7, 8, 9, 10, 11)]
+ >>> list(reshape(M, 12))
+ [(0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)]
+
>>> list(transpose([(1, 2, 3), (11, 22, 33)]))
[(1, 11), (2, 22), (3, 33)]