Python

3a) Write a function that rounds a floating point input x to the nearest value in an array a : 11 In (): def my_round(x, a): round a number to the nearest element of an array of ordered values Args: x: input numeric value a: ordered array of representable numerical values Returns: element of a closest to x # YOUR CODE HERE raise Not ImplementedError() return x_bar In [ ]: assert_equal(my_round(17, x), 16) assert_equal(my_round (19, x), 20) 3b) Write a function that returns the absolute rounding error for a given input value: In (): def err_abs(x, a): error in rounding a number x to the nearest element of an array a Args: x: input numeric value a: numpy array of numerical values Returns: distance from x to closest element of a # YOUR CODE HERE raise Not ImplementedError() return err In (): import numpy.testing as not npt. assert_almost_equal(err_abs (0.8, a), 0.05) In [ ]: 3c) Write a function that returns the relative rounding error for a given input value: In (): def err_rel(x, a): error in rounding a number x to the nearest element of an array a Args: x: input numeric value a: numpy array of numerical values Returns: distance from x to closest element of a # YOUR CODE HERE raise Not ImplementedError() return err In [ ]: npt.assert_almost_equal(err_rel(0.8, a), 0.05/0.8) 3a) Write a function that rounds a floating point input x to the nearest value in an array a : 11 In (): def my_round(x, a): round a number to the nearest element of an array of ordered values Args: x: input numeric value a: ordered array of representable numerical values Returns: element of a closest to x # YOUR CODE HERE raise Not ImplementedError() return x_bar In [ ]: assert_equal(my_round(17, x), 16) assert_equal(my_round (19, x), 20) 3b) Write a function that returns the absolute rounding error for a given input value: In (): def err_abs(x, a): error in rounding a number x to the nearest element of an array a Args: x: input numeric value a: numpy array of numerical values Returns: distance from x to closest element of a # YOUR CODE HERE raise Not ImplementedError() return err In (): import numpy.testing as not npt. assert_almost_equal(err_abs (0.8, a), 0.05) In [ ]: 3c) Write a function that returns the relative rounding error for a given input value: In (): def err_rel(x, a): error in rounding a number x to the nearest element of an array a Args: x: input numeric value a: numpy array of numerical values Returns: distance from x to closest element of a # YOUR CODE HERE raise Not ImplementedError() return err In [ ]: npt.assert_almost_equal(err_rel(0.8, a), 0.05/0.8)