问题描述
我正在关注一本关于深度学习的书,这本书鼓励理解更方便的 numpy 替代方案背后的基本数学运算,以便更好地理解基本原理。我试图在本机 Python 3.9 中重建 numpy 的乘法 (*) 运算符,但我遇到了一些我觉得非常困惑的类型错误。希望有人能帮忙。
def multiply(a,b):
""" 1.) float * float
2.) float * vector
3.) float * matrix
4.) vector * vector
5.) vector * matrix
6.) matrix * matrix """
def float_float(float_a,float_b):
return float_a * float_b
def float_vector(float_a,vector_b):
return [float_float(float_a,component_b) for component_b in vector_b]
def float_matrix(float_a,matrix_b):
return [float_vector(float_a,vector_b) for vector_b in b]
def vector_vector(vector_a,vector_b):
return [a * b for a,b in dict(zip(vec_a,vec_b)).items()]
def vector_matrix(vector_a,matrix_b):
return [vector_vector(vector_a,vector_b) for vector_b in matrix_b]
def matrix_matrix(matrix_a,matrix_b):
return [vector_vector(a,b) for a,b in dict(zip(matrix_a,matrix_b)).items()]
def get_type(operand):
if type(operand) == float:
return "float"
elif type(operand) == list:
if any(isinstance(item,list) for item in operand):
return "matrix"
else:
return "vector"
types = (get_type(a),get_type(b))
print(types)
operations_table = {
("float","float"): float_float(a,b),("float","vector"): float_vector(a,("vector","float"): float_vector(b,a),"matrix"): float_matrix(a,("matrix","float"): float_matrix(b,"vector"): vector_vector(a,"matrix"): vector_matrix(a,"vector"): vector_matrix(b,"matrix"): matrix_matrix(a,b)
}
return operations_table[types]
# float
f = 2.0
# vector
v = [0.5,1.0,2.0]
# matrix
m = [
[1.0,2.0,3.0],[4.0,5.0,6.0],[7.0,8.0,9.0]
]
# TEST
print(multiply(f,f))
print(multiply(f,v))
print(multiply(v,m))
这是我在尝试多个 2 个浮点数时遇到的第一个 TypeError:
('float','float')
Traceback (most recent call last):
File "e:\OneDrive\Projects\Deep_Learning\CH05\CH05-000_NativeOps.py",line 62,in <module>
print(multiply(f,f))
File "e:\OneDrive\Projects\Deep_Learning\CH05\CH05-000_NativeOps.py",line 38,in multiply
("float",File "e:\OneDrive\Projects\Deep_Learning\CH05\CH05-000_NativeOps.py",line 14,in float_vector
return [float_float(float_a,component_b) for component_b in vector_b]
TypeError: 'float' object is not iterable
这是我尝试乘以 float * vector 时遇到的第二个 TypeError
('float','vector')
Traceback (most recent call last):
File "e:\OneDrive\Projects\Deep_Learning\CH05\CH05-000_NativeOps.py",line 63,v))
File "e:\OneDrive\Projects\Deep_Learning\CH05\CH05-000_NativeOps.py",line 37,line 12,in float_float
return float_a * float_b
TypeError: can't multiply sequence by non-int of type 'float'
非常感谢任何帮助,因为在示例中,变量 f、v 和 m 中的所有值都是专门为浮点数设置的,因此我对遇到的错误类型感到非常惊讶。谢谢!!!
解决方法
问题出在那个operations_table 字典上。它导致所有版本的乘法始终运行,无论操作数类型如何。我使用 eval() 将其更改为更短的解决方案,现在代码完美运行。
def multiply(a,b):
""" 1.) float * float
2.) float * vector
3.) float * matrix
4.) vector * vector
5.) vector * matrix
6.) matrix * matrix """
def float_float(float_a,float_b):
return float_a * float_b
def float_vector(float_a,vector_b):
return [float_float(float_a,component_b) for component_b in vector_b]
def float_matrix(float_a,matrix_b):
return [float_vector(float_a,vector_b) for vector_b in b]
def vector_vector(vector_a,vector_b):
return [a * b for a,b in list(zip(vector_a,vector_b))]
def vector_matrix(vector_a,matrix_b):
return [vector_vector(vector_a,vector_b) for vector_b in matrix_b]
def matrix_matrix(matrix_a,matrix_b):
return [vector_vector(a,b) for a,b in list(zip(matrix_a,matrix_b))]
def get_type(operand):
if type(operand) == float:
return "float"
elif type(operand) == list:
if any(isinstance(item,list) for item in operand):
return "matrix"
else:
return "vector"
types = (get_type(a),get_type(b))
print(types)
result = eval(f"{types[0]}_{types[1]}(a,b)")
return result