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Python学习day18-常用模块之NumPy

NumPy模块简介

NumPy是Python的一种开源的数值计算扩展库,支持大量的维度数组和矩阵的运算,此外也针对数组元素提供了大量的数学函数库。

NumPy库的主要有以下几个作用:

  1. 与一般的list列表有区别,提供了数组操作,有个非常强大的N维数组对象ndarray,运算以及简单的统计分部和数学模型,比如线性代数,傅里叶变换,随机数生成等。
  2. 计算速度非常快,是许多模块的依赖包,比如pandas,matplotlib等,一些高级的框架其结构和NumPy也十分的类似,比如TensorFlow,PyTorch等。

NumPy模块的安装

和其他一些第三方模块一样,NumPy同样可以通过以下几种方式来安装

  1. pip工具

    即打开cmd窗口,通过以下语句安装NumPy模块

    python -m pip install NumPy

  2. 可以通过pycharm来安装

    路径为File->Settings->Project->Project Interpreter->

点加号,进去上面有搜索框,输入NumPy

点击左下角的安装即可。

NumPy模块的Ndarray对象

Ndarray广义上来说是一个N维数组,但又不单单是一个数组,它其实可以表示为一系列同类数据的集合,其中的每个元素在内存中都有相同存储大小的区域,可以用索引来对其中的数据进行索引和取值。

那么我们现在来创建一个ndarray,其实只需要调用一个array函数即可

NumPy.array(object,dtype = None,copy = True,order = None,subok = False,ndmin = 0)

上述参数说明如下

名称 描述
object 数组或嵌套的数列
dtype 数组元素的数据类型,可选项
copy 是否需要复制,可选项
order 创建数组的样式,C为行方向,F为列方向,A为任意方向(默认)
subok 默认返回一个与基类类型一致的数组
ndmin 指定生成数组的最小维度

我们用实例来证明以上参数:

 
 
 
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1
import NumPy as np
2
# 这是一种命名习惯,习惯性将NumPy简化成np
3
4
# 创建一维的ndarray对象
5
arr = np.array([1, 2, 3])
6
print(arr, type(arr))
7
8
# 创建二维的ndarray对象
9
print(np.array([[1, 2, 3], [4, 5, 6]]))
10
11
# 创建三维的ndarray对象
12
print(np.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]]))
13
# 当然一般不会用NumPy来生成三维数组,太过麻烦,一般会使用TensortFlow或者Pytorch来生成三维数组
14
15
16
res = NumPy.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]], 
17
dtype=None, copy=True, order=None, subok=False, ndmin=0)
18
print(res)
19
20
#[[1 2 3]
21
# [4 5 6]
22
# [7 8 9]] 
23
24
res = NumPy.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]], 
25
dtype=str, copy=True, order=None, subok=False, ndmin=0)
26
print(res)
27
28
#[['1' '2' '3']
29
# ['4' '5' '6']
30
# ['7' '8' '9']]
31
32
res = NumPy.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]], dtype=np.float64, copy=True, order=None, subok=True, ndmin=0)
33
print(res)
34
35
#[[1. 2. 3.]
36
# [4. 5. 6.]
37
# [7. 8. 9.]]
38
39
# 以上修改了dtype,可见数组元素的数据类型发生了改变
40
res = NumPy.array([[1, 2, 3], [4, 5, 6], [7, 8, 9]], dtype=None, copy=True, order=None, subok=True, ndmin=3)
41
print(res,type(res))
42
#[[[1 2 3]
43
#  [4 5 6]
44
#  [7 8 9]]] <class 'NumPy.ndarray'>
45
# 可以看到,我们修改了ndmin为3,即生成的数组最少为三维数组,看外面的括号可以证明
 
 

NumPy数组的属性

上面我们已经成功生成一个NumPy数组,下面我们看一下关于其数组的一些操作和属性。

属性 说明
ndarray.ndim 数组的维数
ndarray.shape 数组维度的大小(元组形式返回,行,列)
ndarray.size 数组元素的个数
ndarray.dtype 数组元素的类型
ndarray.itemsize 数组中每个元素的大小,以字节为单位
ndarray.flags 数组对象的内存信息
ndarray.real 数组内所有元素的实部
ndarray.imag 数组内所有元素的虚部

以下实例为上述属性的结果。

 
 
 
xxxxxxxxxx
17
 
 
 
 
1
import NumPy as np
2
3
a = np.arange(123)
4
print(a.ndim)# 只有一个维度,即输出结果为1
5
b = a.reshape(2,3,4)
6
print(b.ndim)# 现在b就有了三个维度
7
8
a = np.array([[1,2,3],[3,4,5]])
9
print(a.shape)# 输出结果为(2,3),即2行3列
10
# shape还可以调整数组的大小
11
a = np.array([[1,2,3],[4,5,6]])
12
a.shape(3,2)# 即转换成3行2列
13
print(a)
14
# 结果为:
15
[[1 2]
16
[3 4]
17
[5 6]]
 
 

NumPy数组的切割,替换和合并

切割

NumPy数组的切割与列表有些类似,都是通过索引序号来进行切割,只不过数组是涉及到行和列的切割,但均是从0开始,取头不取尾。

 
 
 
xxxxxxxxxx
17
 
 
 
 
1
arr = np.array([[1,2,3,4],[5,6,7,8],[9,10,11,12]])
2
print(arr)
3
4
# 取第一行的所有元素
5
print(arr[:1, :])
6
7
# 取第一列的所有元素
8
print (arr[:,:1])
9
10
# 取大于或者小于某个值的元素,即数组可以直接做判断,返回一个数组
11
print(arr[arr>8])
12
13
# NumPy数组是按照运算符取元素的原理,即通过判断条件会生成一个布尔NumPy数组
14
print(arr>7)
15
[[False False False False]
16
 [False False False True]
17
 [True True True True]]
 
 

NumPy数组的替换

类似于列表元素的替换,并且要注意的是NumPy生成的数组也是一个可变类型,所以对其做操作的时候都是在原数值上操作,要注意,必要时候使用copy来测试实验。

 
 
 
xxxxxxxxxx
24
 
 
 
 
1
arr = np.array([[1,2,3,4],[5,6,7,8],[9,10,11,12]])
2
print(arr)
3
4
#[[1 2 3 4]
5
# [5 6 7 8]
6
# [9 10 11 12]]
7
8
# 取第一行所有元素,并让其为0
9
arr1 = arr.copy()
10
arr1[:1,:] = 0
11
print(arr1)
12
13
#[[0 0 0 0]
14
# [5 6 7 8]
15
# [9 10 11 12]]
16
17
# 同样的,也可以通过判断取值,来让符合条件的元素做出改变或赋值
18
arr2 = arr.copy()
19
arr2[arr>5] = 0
20
print(arr2)
21
#[[1 2 3 4]
22
# [5 0 0 0]
23
# [0 0 0 0]]
24
 
 

NumPy数组的合并

 
 
 
x
 
 
1
arr1 = np.array([[1,2],[3,4],[5,6]])
2
print(arr1)
3
4
#[[1 2]
5
# [3 4]
6
# [5 6]]
7
8
arr2 = np.array([[7,8],[9,10],[11,12]])
9
print(arr2)
10
#[[7 8]
11
# [9 10]
12
# [11 12]]
13
14
# 可以用hstack()的方法合并numpy数组,两个合并数组应有相同数量的行,因为hstack()是按照行合并的,另有vstack()是按照列合并的,即两个数组的列数量应该相等。 
15
print(np.hstack((arr1,arr2)))
16
#[[ 1  2  7  8]
17
# [ 3  4  9 10]
18
# [ 5  6 11 12]]
19
# 用concatenate也可以合并两个numpy数组,不过需要增加参数,比如axis = 1就是合并两个numpy数组的行
20
print(np.concatenate((arr1,arr2),axis = 1))
21
#[[ 1  2  7  8]
22
# [ 3  4  9 10]
 
 
23
# [ 5  6 11 12]]
 
 

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