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  • numpy之np.ix_

    花式索引与np.ix_函数

    花式索引(Fancy indexing)是Numpy的一个术语,指的是利用整数数组进行索引。(不仅是1维,也可以是多维)


    用法与例子如下:


    创建 arr 数组

    1. >>> arr1 = np.empty((8,4))        # 创建一个8行4列的二维数组
    2. >>> for i in range(8):           # 每一行赋值为0~7
    3. arr1[i] = i
    4. >>> arr1
    5. array([[ 0., 0., 0., 0.],
    6. [ 1., 1., 1., 1.],
    7. [ 2., 2., 2., 2.],
    8. [ 3., 3., 3., 3.],
    9. [ 4., 4., 4., 4.],
    10. [ 5., 5., 5., 5.],
    11. [ 6., 6., 6., 6.],
    12. [ 7., 7., 7., 7.]])


    1、用1维数组进行索引

    1. >>> arr1[[4,3,0,6]]
    2. # 选取第4行、第3行、第0行、第6行
    3. array([[ 4., 4., 4., 4.],
    4. [ 3., 3., 3., 3.],
    5. [ 0., 0., 0., 0.],
    6. [ 6., 6., 6., 6.]])

    2、用有负数的1维数组进行索引,就是从末尾开始选取行

    1. >>> arr1[[-3,-5,-7]]
    2. # 选取倒数第3行,倒数第5行,倒数第7行
    3. array([[ 5., 5., 5., 5.],
    4. [ 3., 3., 3., 3.],
    5. [ 1., 1., 1., 1.]])

    在这里必须注意!

    顺序选取是从0开始数的,a[0]代表第一个;而逆序选取是从1开始数的,a[-1]是倒数第一个


    新建一个数组 arr2 

    1. >>> arr2 = np.arange(32).reshape((8,4))
    2. >>> arr2
    3. array([[ 0, 1, 2, 3],
    4. [ 4, 5, 6, 7],
    5. [ 8, 9, 10, 11],
    6. [12, 13, 14, 15],
    7. [16, 17, 18, 19],
    8. [20, 21, 22, 23],
    9. [24, 25, 26, 27],
    10. [28, 29, 30, 31]])


    3、按坐标选取每一个数

    1. >>> arr2[[1,5,7,2],[0,3,1,2]]
    2. # 意思就是,取坐标所对应的数(1,0)——4,(5,3)——23,(7,1)——29,(2,2)——10,然后返回一个数组
    3. array([ 4, 23, 29, 10])

    4、希望先按我们要求选取行,再按顺序将列排序,获得一个矩形

    1. >>> arr2[[1,5,7,2]][:,[0,3,1,2]]
    2. array([[ 4, 7, 5, 6],
    3. [20, 23, 21, 22],
    4. [28, 31, 29, 30],
    5. [ 8, 11, 9, 10]])

    先按先选取第1、5、2、7行,每一行再按第0个、第3个、第1个、第2个排序


    5、np.ix_函数,能把两个一维数组 转换为 一个用于选取方形区域的索引器


    实际意思就是,直接往np.ix_()里扔进两个一维数组[1,5,7,2],[0,3,1,2],就能先按我们要求选取行,再按顺序将列排序,跟上面得到的结果一样,而不用写“[ : , [0,3,1,2] ]”


    原理:np.ix_函数就是输入两个数组,产生笛卡尔积的映射关系

    1. >>> arr2[np.ix_([1,5,7,2],[0,3,1,2])]
    2. array([[ 4, 7, 5, 6],
    3. [20, 23, 21, 22],
    4. [28, 31, 29, 30],
    5. [ 8, 11, 9, 10]])

    例如就这个例子,np.ix_函数,将数组[1,5,7,2]和数组[0,3,1,2]产生笛卡尔积,就是得到(1,0),(1,3),(1,1),(1,2);(5,0),(5,3),(5,1),(5,2);(7,0),(7,3),(7,1),(7,2);(2,0),(2,3),(2,1),(2,2);


    就是按照坐标(1,0),(1,3),(1,1),(1,2)取得 arr2 所对应的元素4,7,5,6

    (5,0),(5,3),(5,1),(5,2)取得 arr2 所对应的元素20,23,21,22

    如此类推。





























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