Optimizing sum calculation of large 3D NumPy arrays

Last update on March 27 2025 09:14:50 (UTC/GMT +8 hours)

8. Large 3D Array Sum Optimization

Write a NumPy program to generate a large 3D NumPy array and write a function to compute the sum of all elements using nested for loops. Optimize it using NumPy's built-in functions.

Sample Solution:

Python Code:

import numpy as np

# Create a large 3D NumPy array with shape (100, 100, 100)
large_array = np.random.rand(100, 100, 100)

# Function to compute the sum of all elements using nested for loops
def sum_using_loops(array):
    total_sum = 0.0
    for i in range(array.shape[0]):
        for j in range(array.shape[1]):
            for k in range(array.shape[2]):
                total_sum += array[i, j, k]
    return total_sum

# Compute the sum using the nested for loops
sum_loop = sum_using_loops(large_array)
print("Sum using nested for loops:", sum_loop)

# Optimize the sum computation using NumPy's built-in function
sum_numpy = np.sum(large_array)
print("Sum using NumPy's built-in function:", sum_numpy)

Output:

Sum using nested for loops: 500193.4387505151
Sum using NumPy's built-in function: 500193.438750515

Explanation:

• Create a large array: A 3D NumPy array with shape (100, 100, 100) is created using np.random.rand().
• Function with nested for loops: A function sum_using_loops computes the sum of all elements using nested for loops.
• Compute sum with loops: The sum of all elements is calculated using the nested for loops and printed.
• Optimize with NumPy: The sum computation is optimized using NumPy's built-in np.sum() function and printed.

For more Practice: Solve these Related Problems:

• Write a Numpy program to compute the total sum of all elements in a large 3D array using triple nested loops, then optimize with np.sum.
• Write a Numpy program to calculate the sum along a specific axis of a large 3D array using loops, then optimize using np.sum with an axis parameter.
• Write a Numpy program to sum only those elements in a large 3D array that meet a given condition using loops, then optimize with boolean indexing and np.sum.
• Write a Numpy program to compute partial sums on slices of a large 3D array using loops, then optimize with np.add.reduce over slices.

Python-Numpy Code Editor:

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