Computer Networking: A Top-Down Approach (7th Edition)
Computer Networking: A Top-Down Approach (7th Edition)
7th Edition
ISBN: 9780133594140
Author: James Kurose, Keith Ross
Publisher: PEARSON
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Appendix 1 (bisection algorithm) index radicand 50 radical To find the square root of a number N the bisection method works as follows: Step 1 create 2 variables Left and Right, where Left = 0 and Right = number Step 2 Find the midpoint between Left and Right If Midpoint * Midpoint < number, then modify the value of the Left to be the value of midpoint Otherwise, modify the value of the Right to be the value of the Midpoint. Repeat step 2 as much as needed! For this TMA, you need to repeat step 2 only 5 times. Graphical Explanation of the bisection method for finding the square root of 50: Let L represent Left, R represent Right, and M represent Midpoint L=0 M=25 R=50 25 * 25 > 50 L=0 M=12.5 R= 25 12.5 * 12.5 > 50 L=0 M=6.25 R=12.5 6.25 * 6.25 < 50 L=6.25 R=12.5 9.375 * 9.375 > 50 Now Left should be 6.25, Right should be 9.375 and the algorithm continues. To find the cube root of a number N the bisection method works as follows: If the radicand is negative, then create a new radicand that is the opposite of the original number, which is positive! create 2 variables Left and Right, where Left = 0 and Right = number Find the midpoint between Left and Right Step 1 Step 2 Step 3 If Midpoint * Midpoint * Midpoint < number, then modify the value of the Left to be the value of midpoint Otherwise, modify the value of the Right to be the value of the Midpoint. Repeat step 2 as much as needed! For this TMA, you need to repeat step 2 only 5 times. If the radicand is negative, the radical should be the negative value of the number found, otherwise the radical should be the number found. Step 4
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Transcribed Image Text:Appendix 1 (bisection algorithm) index radicand 50 radical To find the square root of a number N the bisection method works as follows: Step 1 create 2 variables Left and Right, where Left = 0 and Right = number Step 2 Find the midpoint between Left and Right If Midpoint * Midpoint < number, then modify the value of the Left to be the value of midpoint Otherwise, modify the value of the Right to be the value of the Midpoint. Repeat step 2 as much as needed! For this TMA, you need to repeat step 2 only 5 times. Graphical Explanation of the bisection method for finding the square root of 50: Let L represent Left, R represent Right, and M represent Midpoint L=0 M=25 R=50 25 * 25 > 50 L=0 M=12.5 R= 25 12.5 * 12.5 > 50 L=0 M=6.25 R=12.5 6.25 * 6.25 < 50 L=6.25 R=12.5 9.375 * 9.375 > 50 Now Left should be 6.25, Right should be 9.375 and the algorithm continues. To find the cube root of a number N the bisection method works as follows: If the radicand is negative, then create a new radicand that is the opposite of the original number, which is positive! create 2 variables Left and Right, where Left = 0 and Right = number Find the midpoint between Left and Right Step 1 Step 2 Step 3 If Midpoint * Midpoint * Midpoint < number, then modify the value of the Left to be the value of midpoint Otherwise, modify the value of the Right to be the value of the Midpoint. Repeat step 2 as much as needed! For this TMA, you need to repeat step 2 only 5 times. If the radicand is negative, the radical should be the negative value of the number found, otherwise the radical should be the number found. Step 4
Implement a Java method with the identifier "SquareRoot" that takes 1 parameter of type integer and returns a double value that represents the square root of the parameter. Note: you must implement the square root function yourself by using the bisection algorithm as explained in Appendix 1 and you should NOT use any java.lang.Math function. Implement a Java method with the identifier "CubeRoot" that takes 1 parameter of type integer and returns a double value that represents the cube root of the parameter. Note: you must implement the cube root function yourself by using the bisection algorithm as explained in Appendix 1 and you should NOT use any java.lang.Math function. 2.2 2.3
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Transcribed Image Text:Implement a Java method with the identifier "SquareRoot" that takes 1 parameter of type integer and returns a double value that represents the square root of the parameter. Note: you must implement the square root function yourself by using the bisection algorithm as explained in Appendix 1 and you should NOT use any java.lang.Math function. Implement a Java method with the identifier "CubeRoot" that takes 1 parameter of type integer and returns a double value that represents the cube root of the parameter. Note: you must implement the cube root function yourself by using the bisection algorithm as explained in Appendix 1 and you should NOT use any java.lang.Math function. 2.2 2.3
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