NumPy: Get the floor, ceiling and truncated values of the elements of a numpy array
10. Floor, Ceiling, and Truncation
Write a NumPy program to get the floor, ceiling and truncated values of the elements of a numpy array.
Sample Solution:
Python Code:
# Importing the NumPy library
import numpy as np
# Creating an array with float values
x = np.array([-1.6, -1.5, -0.3, 0.1, 1.4, 1.8, 2.0])
# Displaying the original array
print("Original array:")
print(x)
# Floor values of the array elements (round down to the nearest integer)
print("Floor values of the above array elements:")
print(np.floor(x))
# Ceil values of the array elements (round up to the nearest integer)
print("Ceil values of the above array elements:")
print(np.ceil(x))
# Truncated values of the array elements (remove decimal part without rounding)
print("Truncated values of the above array elements:")
print(np.trunc(x))
Sample Output:
Original array: [-1.6 -1.5 -0.3 0.1 1.4 1.8 2. ] Floor values of the above array elements: [-2. -2. -1. 0. 1. 1. 2.] Ceil values of the above array elements: [-1. -1. -0. 1. 2. 2. 2.] Truncated values of the above array elements: [-1. -1. -0. 0. 1. 1. 2.]
Explanation:
x = np.array([-1.6, -1.5, -0.3, 0.1, 1.4, 1.8, 2.0]) - This line creates an array with seven elements.
np.floor(x) – This code returns the largest integer value less than or equal to each element of x. The output is [-2. -2. -1. 0. 1. 1. 2.].
np.ceil(x) – This code returns the smallest integer value greater than or equal to each element of x. The output is [-1. -1. -0. 1. 2. 2. 2.]
np.trunc(x) – This code returns the truncated integer value of each element of x towards zero. The output is [-1. -1. -0. 0. 1. 1. 2.].
For more Practice: Solve these Related Problems:
- Implement a function that computes the floor, ceil, and truncation of each element in an array using np.floor, np.ceil, and np.trunc.
- Test these operations on an array with a mix of positive and negative floats and verify the outputs.
- Return a tuple of arrays (floor, ceil, trunc) and compare the results with expected mathematical behavior.
- Apply these operations along a specified axis of a multi-dimensional array and check for consistency.
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