# 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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