


# 100 numpy exercises

# 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.


# If you find an error or think you've a better way to solve some of them, feel
# free to open an issue at <https://github.com/rougier/numpy-100>.
# File automatically generated. See the documentation to update questions/answers/hints programmatically.

#### 1. Import the numpy package under the name `np` (★☆☆)
import numpy as np

#### 2. Print the numpy version and the configuration (★☆☆)
print(np.__version__)

#### 3. Create a null vector of size 10 (★☆☆)
null_vec_10 = np.zeros(10)

#### 4. How to find the memory size of any array (★☆☆)
print(null_vec_10.nbytes)

#### 5. How to get the documentation of the numpy add function from the command line? (★☆☆)

#help(np.add)

#### 6. Create a null vector of size 10 but the fifth value which is 1 (★☆☆)
x = np.zeros(10)
x[4] = 1

#### 7. Create a vector with values ranging from 10 to 49 (★☆☆)
x = np.array(range(10, 50))

#### 8. Reverse a vector (first element becomes last) (★☆☆)
x = np.flip(x)

#### 9. Create a 3x3 matrix with values ranging from 0 to 8 (★☆☆)
x = np.array([range(0, 3),
              range(3, 6),
              range(6, 9)])

#### 10. Find indices of non-zero elements from [1,2,0,0,4,0] (★☆☆)
x = np.array([1,2,0,0,4,0])
non0_indices = np.where(x != 0)[0]

#### 11. Create a 3x3 identity matrix (★☆☆)
x = np.identity(3)


#### 12. Create a 3x3x3 array with random values (★☆☆)
x = np.random.rand(3, 3, 3)

#### 13. Create a 10x10 array with random values and find the minimum and maximum values (★☆☆)
x = np.random.rand(10, 10)
x_min = np.min(x)
x_max = np.max(x)


#### 14. Create a random vector of size 30 and find the mean value (★☆☆)
x = np.random.rand(30)
x_mean = np.mean(x)

#### 15. Create a 2d array with 1 on the border and 0 inside (★☆☆)
ones = np.ones(3, dtype=int)
x = np.array([ones, [1, 0, 1], ones])

#### 16. How to add a border (filled with 0's) around an existing array? (★☆☆)
x = np.pad(x, pad_width=1, mode='constant', constant_values=0)

#### 17. What is the result of the following expression? (★☆☆)

# 0 * np.nan                   # nan
# np.nan == np.nan             # False
# np.inf > np.nan              # False
# np.nan - np.nan              # nan
# np.nan in set([np.nan])      # True
# 0.3 == 3 * 0.1               # False


#### 18. Create a 5x5 matrix with values 1,2,3,4 just below the diagonal (★☆☆)
x = np.diag([1, 2, 3, 4], -1)

#### 19. Create a 8x8 matrix and fill it with a checkerboard pattern (★☆☆)
x = np.indices([8, 8]).sum(axis=0) % 2

#### 20. Consider a (6,7,8) shape array, what is the index (x,y,z) of the 100th element? (★☆☆)
print (np.unravel_index(100, (6,7,8)))

#### 21. Create a checkerboard 8x8 matrix using the tile function (★☆☆)

#### 22. Normalize a 5x5 random matrix (★☆☆)

#### 23. Create a custom dtype that describes a color as four unsigned bytes (RGBA) (★☆☆)

#### 24. Multiply a 5x3 matrix by a 3x2 matrix (real matrix product) (★☆☆)

#### 25. Given a 1D array, negate all elements which are between 3 and 8, in place. (★☆☆)

#### 26. What is the output of the following script? (★☆☆)
#```python
# 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? (★☆☆)
# ```python
# Z**Z
# 2 << Z >> 2
# Z <- Z
# 1j*Z
# Z/1/1
# Z<Z>Z
#```

#### 28. What are the result of the following expressions? (★☆☆)
#```python
# np.array(0) / np.array(0)
# np.array(0) // np.array(0)
# np.array([np.nan]).astype(int).astype(float)
#```

#### 29. How to round away from zero a float array ? (★☆☆)

#### 30. How to find common values between two arrays? (★☆☆)

#### 31. How to ignore all numpy warnings (not recommended)? (★☆☆)

#### 32. Is the following expressions true? (★☆☆)
#```python
#np.sqrt(-1) == np.emath.sqrt(-1)
#```

#### 33. How to get the dates of yesterday, today and tomorrow? (★☆☆)

#### 34. How to get all the dates corresponding to the month of July 2016? (★★☆)

#### 35. How to compute ((A+B)*(-A/2)) in place (without copy)? (★★☆)

#### 36. Extract the integer part of a random array of positive numbers using 4 different methods (★★☆)

#### 37. Create a 5x5 matrix with row values ranging from 0 to 4 (★★☆)

#### 38. Consider a generator function that generates 10 integers and use it to build an array (★☆☆)

#### 39. Create a vector of size 10 with values ranging from 0 to 1, both excluded (★★☆)

#### 40. Create a random vector of size 10 and sort it (★★☆)

#### 41. How to sum a small array faster than np.sum? (★★☆)

#### 42. Consider two random array A and B, check if they are equal (★★☆)

#### 43. Make an array immutable (read-only) (★★☆)

#### 44. Consider a random 10x2 matrix representing cartesian coordinates, convert them to polar coordinates (★★☆)

#### 45. Create random vector of size 10 and replace the maximum value by 0 (★★☆)

#### 46. Create a structured array with `x` and `y` coordinates covering the [0,1]x[0,1] area (★★☆)

#### 47. Given two arrays, X and Y, construct the Cauchy matrix C (Cij =1/(xi - yj)) (★★☆)

#### 48. Print the minimum and maximum representable value for each numpy scalar type (★★☆)

#### 49. How to print all the values of an array? (★★☆)

#### 50. How to find the closest value (to a given scalar) in a vector? (★★☆)

#### 51. Create a structured array representing a position (x,y) and a color (r,g,b) (★★☆)

#### 52. Consider a random vector with shape (100,2) representing coordinates, find point by point distances (★★☆)

#### 53. How to convert a float (32 bits) array into an integer (32 bits) in place?

#### 54. How to read the following file? (★★☆)
#```
#1, 2, 3, 4, 5
#6,  ,  , 7, 8
# ,  , 9,10,11
#```

#### 55. What is the equivalent of enumerate for numpy arrays? (★★☆)

#### 56. Generate a generic 2D Gaussian-like array (★★☆)

#### 57. How to randomly place p elements in a 2D array? (★★☆)

#### 58. Subtract the mean of each row of a matrix (★★☆)

#### 59. How to sort an array by the nth column? (★★☆)

#### 60. How to tell if a given 2D array has null columns? (★★☆)

#### 61. Find the nearest value from a given value in an array (★★☆)

#### 62. Considering two arrays with shape (1,3) and (3,1), how to compute their sum using an iterator? (★★☆)

#### 63. Create an array class that has a name attribute (★★☆)

#### 64. Consider a given vector, how to add 1 to each element indexed by a second vector (be careful with repeated indices)? (★★★)

#### 65. How to accumulate elements of a vector (X) to an array (F) based on an index list (I)? (★★★)

#### 66. Considering a (w,h,3) image of (dtype=ubyte), compute the number of unique colors (★★☆)

#### 67. Considering a four dimensions array, how to get sum over the last two axis at once? (★★★)

#### 68. Considering a one-dimensional vector D, how to compute means of subsets of D using a vector S of same size describing subset  indices? (★★★)

#### 69. How to get the diagonal of a dot product? (★★★)

#### 70. Consider the vector [1, 2, 3, 4, 5], how to build a new vector with 3 consecutive zeros interleaved between each value? (★★★)

#### 71. Consider an array of dimension (5,5,3), how to mulitply it by an array with dimensions (5,5)? (★★★)

#### 72. How to swap two rows of an array? (★★★)

#### 73. Consider a set of 10 triplets describing 10 triangles (with shared vertices), find the set of unique line segments composing all the  triangles (★★★)

#### 74. Given a sorted array C that corresponds to a bincount, how to produce an array A such that np.bincount(A) == C? (★★★)

#### 75. How to compute averages using a sliding window over an array? (★★★)

#### 76. Consider a one-dimensional array Z, build a two-dimensional array whose first row is (Z[0],Z[1],Z[2]) and each subsequent row is  shifted by 1 (last row should be (Z[-3],Z[-2],Z[-1]) (★★★)

#### 77. How to negate a boolean, or to change the sign of a float inplace? (★★★)

#### 78. Consider 2 sets of points P0,P1 describing lines (2d) and a point p, how to compute distance from p to each line i (P0[i],P1[i])? (★★★)

#### 79. Consider 2 sets of points P0,P1 describing lines (2d) and a set of points P, how to compute distance from each point j (P[j]) to each line i (P0[i],P1[i])? (★★★)

#### 80. Consider an arbitrary array, write a function that extract a subpart with a fixed shape and centered on a given element (pad with a `fill` value when necessary) (★★★)

#### 81. Consider an array Z = [1,2,3,4,5,6,7,8,9,10,11,12,13,14], how to generate an array R = [[1,2,3,4], [2,3,4,5], [3,4,5,6], ..., [11,12,13,14]]? (★★★)

#### 82. Compute a matrix rank (★★★)

#### 83. How to find the most frequent value in an array?

#### 84. Extract all the contiguous 3x3 blocks from a random 10x10 matrix (★★★)

#### 85. Create a 2D array subclass such that Z[i,j] == Z[j,i] (★★★)

#### 86. Consider a set of p matrices wich shape (n,n) and a set of p vectors with shape (n,1). How to compute the sum of of the p matrix products at once? (result has shape (n,1)) (★★★)

#### 87. Consider a 16x16 array, how to get the block-sum (block size is 4x4)? (★★★)

#### 88. How to implement the Game of Life using numpy arrays? (★★★)

#### 89. How to get the n largest values of an array (★★★)

#### 90. Given an arbitrary number of vectors, build the cartesian product (every combinations of every item) (★★★)

#### 91. How to create a record array from a regular array? (★★★)

#### 92. Consider a large vector Z, compute Z to the power of 3 using 3 different methods (★★★)

#### 93. Consider two arrays A and B of shape (8,3) and (2,2). How to find rows of A that contain elements of each row of B regardless of the order of the elements in B? (★★★)

#### 94. Considering a 10x3 matrix, extract rows with unequal values (e.g. [2,2,3]) (★★★)

#### 95. Convert a vector of ints into a matrix binary representation (★★★)

#### 96. Given a two dimensional array, how to extract unique rows? (★★★)

#### 97. Considering 2 vectors A & B, write the einsum equivalent of inner, outer, sum, and mul function (★★★)

#### 98. Considering a path described by two vectors (X,Y), how to sample it using equidistant samples (★★★)?

#### 99. Given an integer n and a 2D array X, select from X the rows which can be interpreted as draws from a multinomial distribution with n degrees, i.e., the rows which only contain integers and which sum to n. (★★★)

#### 100. Compute bootstrapped 95% confidence intervals for the mean of a 1D array X (i.e., resample the elements of an array with replacement N times, compute the mean of each sample, and then compute percentiles over the means). (★★★)
