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1) Implement each method as a C++ function 2) Time each method against a set of test polynomials to collect some empirical data. Recommend using C++'s high resolution clock, for an example see time point: https://www.geeksforgeeks.org/chrono-in-c/ 3) Submit your code as a .cpp file and your findings as a PDF file.

1) Implement each method as a C++ function 2) Time each method against a set of test polynomials to collect some empirical data. Recommend using C++'s high resolution clock, for an example see time point: https://www.geeksforgeeks.org/chrono-in-c/ 3) Submit your code as a .cpp file and your findings as a PDF file.

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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I have to find the Horner method and the other method, the value is supposed to be 15, and I had to check the time it took to run the program I believe, or something like that. I'd really appreciate your help. thanks so so much. 

In this lab you will explore the conventional means to evaluate a polynomial and compare its efficiency to Horner's method (see textbook, page 242). 1) Implement each method as a C++ function 2) Time each method against a set of test polynomials to collect some empirical data. Recommend using C++'s high resolution clock, for an example see time point: https://www.geeksforgeeks.org/chrono-in-c/ 3) Submit your code as a .cpp file and your findings as a PDF file. The conventional algorithm for evaluating a polynomial a„x" + an-x-1. + a,x + ao at x = c can be expressed in pseudocode by procedure polynomial(c, a̟, a, ..., an: real numbers) power := 1 Y := ao for i= 1 to n роwer%3D pouer * с Y:= y + a; * power return y {y = Aµc" + an-1c"-1 + ... + a,c + ao} where the final value of y is the value of the polynomial at x = c. a) Evaluate 3x² + x + 1 at x = 2 by working through each step of the algorithm showing the values assigned at each assignment step. pus exercise. It is called Horner's method. This pseudocode shows how to use this method to find the value of a,x" + an-p""-1 + .. + a,x + a, at x = c. Pa procedure Horner(c, ag, aq, Ag, .., q : real numbers) Y = an for i=1 to n y= y *c+ an-i return y {y = a,c" + An-¡C“ n-1. + . + a,c + a,} a) Evaluate 3u² + x + 1 at x = 2 by working through each step of the algorithm showing the values assigned at each assignment step.
Transcribed Image Text:In this lab you will explore the conventional means to evaluate a polynomial and compare its efficiency to Horner's method (see textbook, page 242). 1) Implement each method as a C++ function 2) Time each method against a set of test polynomials to collect some empirical data. Recommend using C++'s high resolution clock, for an example see time point: https://www.geeksforgeeks.org/chrono-in-c/ 3) Submit your code as a .cpp file and your findings as a PDF file. The conventional algorithm for evaluating a polynomial a„x" + an-x-1. + a,x + ao at x = c can be expressed in pseudocode by procedure polynomial(c, a̟, a, ..., an: real numbers) power := 1 Y := ao for i= 1 to n роwer%3D pouer * с Y:= y + a; * power return y {y = Aµc" + an-1c"-1 + ... + a,c + ao} where the final value of y is the value of the polynomial at x = c. a) Evaluate 3x² + x + 1 at x = 2 by working through each step of the algorithm showing the values assigned at each assignment step. pus exercise. It is called Horner's method. This pseudocode shows how to use this method to find the value of a,x" + an-p""-1 + .. + a,x + a, at x = c. Pa procedure Horner(c, ag, aq, Ag, .., q : real numbers) Y = an for i=1 to n y= y *c+ an-i return y {y = a,c" + An-¡C“ n-1. + . + a,c + a,} a) Evaluate 3u² + x + 1 at x = 2 by working through each step of the algorithm showing the values assigned at each assignment step.
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