# NumPy Universal Functions : Exercises, Practice, and Solutions

## NumPy Universal Functions (ufuncs) [ 20 exercises with solution]

Practice NumPy universal functions ("ufuncs") with the following exercises and solutions. Learn to create, use, and understand "ufuncs" and their broadcasting behavior.

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1. Write a Numpy program that creates a custom ufunc that adds 10 to every element in a NumPy array. Use this ufunc on a 1D array of integers.
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2. Write a NumPy program that uses the np.sqrt ufunc to compute the square root of each element in a 2D NumPy array.
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3. Write a NumPy program that creates a 2D NumPy array and a 1D array. Use the np.add ufunc to add the 1D array to each row of the 2D array.
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4. Write a NumPy program that uses the np.multiply ufunc to perform element-wise multiplication of two 2D arrays of the same shape.
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5. Write a NumPy program that applies np.sin, np.cos, and np.tan ufuncs to a 1D NumPy array of angles (in radians) and print the results.
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6. Write a NumPy program that uses the np.where ufunc to create a new array from two existing arrays based on a condition applied to a third array.
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7. Write a NumPy program that creates a custom ufunc that computes x^2 + 2x + 1 for each element in a NumPy array.
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8. Write a NumPy program that creates a NumPy array and applies a sequence of ufuncs (np.exp, np.log, and np.sqrt) to transform the array.
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9. Write a NumPy program that uses the np.add.reduce ufunc to compute the sum of all elements in a 1D array.
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10. Write a NumPy program that uses the np.multiply.accumulate ufunc to compute the cumulative product of elements in a 1D array.
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11. Write a NumPy program that uses the np.subtract.outer ufunc to compute the outer subtraction of two 1D arrays.
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12. Write a NumPy program that creates two 1D arrays and uses np.dot to compute the dot product. Verify the result using a custom ufunc.
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13. Write a NumPy program that creates a 3D array and a 1D array and uses np.divide to divide each 2D slice of the 3D array by the 1D array.
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14. Write a Numpy program that defines a custom ufunc that computes 3x + 4y for elements x and y from two arrays, and apply it to 2D arrays.
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15. Write a NumPy program that compares the performance of a custom ufunc to a standard Python loop for element-wise addition on large arrays.
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16. Write a NumPy program that uses np.add with the out parameter to perform in-place addition on a NumPy array.
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17. Write a NumPy program that creates an array with NaN values and uses np.nan_to_num to replace NaN with a specified number.
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18. Write a NumPy program that creates a custom ufunc to operate on complex numbers in a NumPy array.
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19. Write a NumPy program that uses np.logical_and to combine two boolean arrays based on element-wise logical AND operation.
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20. Write a NumPy program that uses np.maximum.reduce to find the maximum element along a specified axis of a 2D array.
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