diff --git a/normaldistribution_quicksort_README.md b/normaldistribution_quicksort_README.md new file mode 100644 index 000000000..f90ae1d49 --- /dev/null +++ b/normaldistribution_quicksort_README.md @@ -0,0 +1,38 @@ +Algorithm implementing QuickSort Algorithm where the pivot element is chosen randomly between first and last elements of the array and the array elements are taken from a Standard Normal Distribution. + +This is different from the ordinary quicksort in the sense, that it applies more to real life problems , where elements usually follow a normal distribution. Also the pivot is randomized to make it a more generic one. + + +#Array Elements + +The array elements are taken from a Standard Normal Distribution , having mean = 0 and standard deviation 1. + +The code + +```python + +>>> import numpy as np +>>> from tempfile import TemporaryFile +>>> outfile = TemporaryFile() +>>> p = 100 # 100 elements are to be sorted +>>> mu, sigma = 0, 1 # mean and standard deviation +>>> X = np.random.normal(mu, sigma, p) +>>> np.save(outfile, X) +>>> print('The array is') +>>> print(X) + +``` + +--------------------- + +#Plotting the function for Checking 'The Number of Swappings' taking place between Normal Distribution QuickSort and Ordinary QuickSort + +```python +>>>import matplotlib.pyplot as plt + + # Normal Disrtibution is red +>>> plt.plot([1,2,4,16,32,64,128,256,512,1024,2048],[1,1,6,15,43,136,340,800,2156,6821,16325],linewidth=2, color='r') + #Simple QuickSort is green +>>> plt.plot([1,2,4,16,32,64,128,256,512,1024,2048],[1,1,4,16,67,122,362,949,2131,5086,12866],linewidth=2, color='g') +>>> plt.show() +```