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100 numpy exercises
numpy 100题练习This is a collection of exercises that have been collected in the numpy mailing list, on stack overflow and in the numpy documentation. The goal of this collection is to offer a quick reference for both old and new users but also to provide a set of exercises for those who teach. 这是在stackoverflow和numpy文档里汇总的numpy练习题,目的是为新老用户提供快速参考。 github地址 1. Import the numpy package under the name np (★☆☆)导入numpy包,命名为np import numpy as np
2. Print the numpy version and the configuration (★☆☆)打印numpy版本和配置print(np.__version__) np.show_config()
3. Create a null vector of size 10 (★☆☆)创建一个10*10的0数组Z = np.zeros(10) print(Z)
4. How to find the memory size of any array (★☆☆)如何查看数组占内存大小Z = np.zeros((10,10)) print('%d bytes' % (Z.size * Z.itemsize))
5. How to get the documentation of the numpy add function from the command line? (★☆☆)如何在命令行下查看numpy add函数文档%run `python -c 'import numpy; numpy.info(numpy.add)'`
6. Create a null vector of size 10 but the fifth value which is 1 (★☆☆)创建一个长度为10的0数组,第5个值为1Z = np.zeros(10) Z[4] = 1 print(Z)
7. Create a vector with values ranging from 10 to 49 (★☆☆)创建一个值从10到49的数组Z = np.arange(10,50) print(Z)
8. Reverse a vector (first element becomes last) (★☆☆)反转数组(第一个元素变成最后一个)Z = np.arange(50) Z = Z[::-1] print(Z)
9. Create a 3x3 matrix with values ranging from 0 to 8 (★☆☆)创建一个从0~8的3*3矩阵Z = np.arange(9).reshape(3,3) print(Z)
10. Find indices of non-zero elements from [1,2,0,0,4,0] (★☆☆)从[1,2,0,0,4,0]中找到非0元素的索引nz = np.nonzero([1,2,0,0,4,0]) print(nz)
11. Create a 3x3 identity matrix (★☆☆)生成一个3*3的对角矩阵Z = np.eye(3) print(Z)
12. Create a 3x3x3 array with random values (★☆☆)创建一个333的随机值数组Z = np.random.random((3,3,3)) print(Z)
13. Create a 10x10 array with random values and find the minimum and maximum values (★☆☆)创建一个10*10的随机值数组,并找到最大最小值Z = np.random.random((10,10)) Zmin, Zmax = Z.min(), Z.max() print(Zmin, Zmax)
14. Create a random vector of size 30 and find the mean value (★☆☆)创建一个长度为30的随机值数组,并找到平均值Z = np.random.random(30) m = Z.mean() print(m)
15. Create a 2d array with 1 on the border and 0 inside (★☆☆)创建一个四边为1,中间为0的二维数组,Z = np.ones((10,10)) Z[1:-1,1:-1] = 0 print(Z)
16. How to add a border (filled with 0's) around an existing array? (★☆☆)如何给一个已经存在的数组添加边(填充0)Z = np.ones((5,5)) Z = np.pad(Z, pad_width=1, mode='constant', constant_values=0) print(Z)
17. What is the result of the following expression? (★☆☆)看看下面表达式的结果是什么?print(0 * np.nan) print(np.nan == np.nan) print(np.inf > np.nan) print(np.nan - np.nan) print(np.nan in set([np.nan])) print(0.3 == 3 * 0.1)
18. Create a 5x5 matrix with values 1,2,3,4 just below the diagonal (★☆☆)创建一个5*5矩阵,对角线下方值为1,2,3,4Z = np.diag(1+np.arange(4),k=-1) print(Z)
19. Create a 8x8 matrix and fill it with a checkerboard pattern (★☆☆)创建一个8*8矩阵,并用棋盘图案填充Z = np.zeros((8,8),dtype=int) Z[1::2,::2] = 1 Z[::2,1::2] = 1 print(Z)
20. Consider a (6,7,8) shape array, what is the index (x,y,z) of the 100th element?给定一个678的三维矩阵,求100个元素的索引是什么?print(np.unravel_index(99,(6,7,8)))
21. Create a checkerboard 8x8 matrix using the tile function (★☆☆)使用tile函数创建8*8的棋盘矩阵Z = np.tile( np.array([[0,1],[1,0]]), (4,4)) print(Z)
22. Normalize a 5x5 random matrix (★☆☆)对一个5*5矩阵标准化处理Z = np.random.random((5,5)) Z = (Z - np.mean (Z)) / (np.std (Z)) print(Z)
23. Create a custom dtype that describes a color as four unsigned bytes (RGBA) (★☆☆)新建一个dtype类型用来描述一个颜色(RGBA)color = np.dtype([('r', np.ubyte, 1), ('g', np.ubyte, 1), ('b', np.ubyte, 1), ('a', np.ubyte, 1)])
24. Multiply a 5x3 matrix by a 3x2 matrix (real matrix product) (★☆☆)5*3矩阵和3*2矩阵相乘Z = np.dot(np.ones((5,3)), np.ones((3,2))) print(Z)
# Alternative solution, in Python 3.5 and above Z = np.ones((5,3)) @ np.ones((3,2)) print(Z)
25. Given a 1D array, negate all elements which are between 3 and 8, in place. (★☆☆)给定一个一维数组,将第3~8个元素取反# Author: Evgeni Burovski
Z = np.arange(11) Z[(3 < Z) & (Z <= 8)] *= -1 print(Z)
26. What is the output of the following script? (★☆☆)看看下面脚本的输出是什么?# Author: Jake VanderPlas
print(sum(range(5),-1)) from numpy import * print(sum(range(5),-1))
27. Consider an integer vector Z, which of these expressions are legal? (★☆☆)给定一个整数数组Z,看看下面哪个表达式是合法的?Z**Z 2 << Z >> 2 Z <- Z 1j*Z Z/1/1 Z<Z>Z
28. What are the result of the following expressions?下面表达式的结果是什么?print(np.array(0) / np.array(0)) print(np.array(0) // np.array(0)) print(np.array([np.nan]).astype(int).astype(float))
29. How to round away from zero a float array ? (★☆☆)如何对数组进行四舍五入操作?# Author: Charles R Harris
Z = np.random.uniform(-10,+10,10) print (np.copysign(np.ceil(np.abs(Z)), Z))
30. How to find common values between two arrays? (★☆☆)如何找出两个数组的共同值?Z1 = np.random.randint(0,10,10) Z2 = np.random.randint(0,10,10) print(np.intersect1d(Z1,Z2))
31. How to ignore all numpy warnings (not recommended)? (★☆☆)如何忽略所有numpy警告?# Suicide mode on defaults = np.seterr(all='ignore') Z = np.ones(1) / 0
# Back to sanity _ = np.seterr(**defaults)
An equivalent way, with a context manager: with np.errstate(divide='ignore'): Z = np.ones(1) / 0
32. Is the following expressions true? (★☆☆)下面表达式正确吗?np.sqrt(-1) == np.emath.sqrt(-1)
33. How to get the dates of yesterday, today and tomorrow? (★☆☆)如何获得昨天、今天、明天的日期?yesterday = np.datetime64('today', 'D') - np.timedelta64(1, 'D') today = np.datetime64('today', 'D') tomorrow = np.datetime64('today', 'D') + np.timedelta64(1, 'D')
34. How to get all the dates corresponding to the month of July 2016? (★★☆)如何获得2016年7月对应的所有日期?Z = np.arange('2016-07', '2016-08', dtype='datetime64[D]') print(Z)
35. How to compute ((A+B)*(-A/2)) in place (without copy)? (★★☆)如何计算((A+B)*(-A/2)) ?A = np.ones(3)*1 B = np.ones(3)*2 C = np.ones(3)*3 np.add(A,B,out=B) np.divide(A,2,out=A) np.negative(A,out=A) np.multiply(A,B,out=A)
36. Extract the integer part of a random array using 5 different methods (★★☆)提取随机数列整数部分的五种方法Z = np.random.uniform(0,10,10)
print (Z - Z%1) print (np.floor(Z)) print (np.ceil(Z)-1) print (Z.astype(int)) print (np.trunc(Z))
37. Create a 5x5 matrix with row values ranging from 0 to 4 (★★☆)创建一个5*5的矩阵,每一行值为1~4Z = np.zeros((5,5)) Z += np.arange(5) print(Z)
38. Consider a generator function that generates 10 integers and use it to build an array (★☆☆)给定一个生成器函数,可以生成10个整数,使用它来创建一个数组def generate(): for x in range(10): yield x Z = np.fromiter(generate(),dtype=float,count=-1) print(Z)
39. Create a vector of size 10 with values ranging from 0 to 1, both excluded (★★☆)创建一个长度为10的数组,值为0~1之间,不包含首尾Z = np.linspace(0,1,11,endpoint=False)[1:] print(Z)
40. Create a random vector of size 10 and sort it (★★☆)创建一个长度为10的数组,并做排序操作Z = np.random.random(10) Z.sort() print(Z)
41. How to sum a small array faster than np.sum? (★★☆)如何对一个数组进行相加操作,并且速度快于np.sum# Author: Evgeni Burovski
Z = np.arange(10) np.add.reduce(Z)
42. Consider two random array A and B, check if they are equal (★★☆)给定两个随机数组A和B,验证它们是否相等A = np.random.randint(0,2,5) B = np.random.randint(0,2,5)
# Assuming identical shape of the arrays and a tolerance for the comparison of values equal = np.allclose(A,B) print(equal)
# Checking both the shape and the element values, no tolerance (values have to be exactly equal) equal = np.array_equal(A,B) print(equal)
43. Make an array immutable (read-only) (★★☆)使一个数组不变(只读)Z = np.zeros(10) Z.flags.writeable = False Z[0] = 1
44. Consider a random 10x2 matrix representing cartesian coordinates, convert them to polar coordinates (★★☆)给定表示笛卡尔坐标的一个10*2的随机矩阵,将其转换为极坐标Z = np.random.random((10,2)) X,Y = Z[:,0], Z[:,1] R = np.sqrt(X**2+Y**2) T = np.arctan2(Y,X) print(R) print(T)
45. Create random vector of size 10 and replace the maximum value by 0 (★★☆)创建一个长度为10的随机矩阵,并将最大值替换为0Z = np.random.random(10) Z[Z.argmax()] = 0 print(Z)
46. Create a structured array with x and y coordinates covering the [0,1]x[0,1] area (★★☆)创建具有x和y坐标的结构化数组,它们覆盖[0,1] x [0,1]区域Z = np.zeros((5,5), [('x',float),('y',float)]) Z['x'], Z['y'] = np.meshgrid(np.linspace(0,1,5), np.linspace(0,1,5)) print(Z)
47. Given two arrays, X and Y, construct the Cauchy matrix C (Cij =1/(xi - yj))给定两个数组X和Y,构造柯西矩阵C(Cij = 1 /(xi-yj))# Author: Evgeni Burovski
X = np.arange(8) Y = X + 0.5 C = 1.0 / np.subtract.outer(X, Y) print(np.linalg.det(C))
48. Print the minimum and maximum representable value for each numpy scalar type (★★☆)打印每种numpy标量类型的最小和最大可表示值for dtype in [np.int8, np.int32, np.int64]: print(np.iinfo(dtype).min) print(np.iinfo(dtype).max) for dtype in [np.float32, np.float64]: print(np.finfo(dtype).min) print(np.finfo(dtype).max) print(np.finfo(dtype).eps)
49. How to print all the values of an array? (★★☆)如何打印数组中所有值np.set_printoptions(threshold=np.nan) Z = np.zeros((16,16)) print(Z)
50. How to find the closest value (to a given scalar) in a vector? (★★☆)如何在数组中找到最接近给定值的值Z = np.arange(100) v = np.random.uniform(0,100) index = (np.abs(Z-v)).argmin() print(Z[index])
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