7. Generating sequences of random-like numbers in a specific range. Xi+1 = aX; + c Mod m where, X, is the sequence of pseudo-random numbers m, (> 0) the modulus a, (0, m) the multiplier c, (0, m) the increment X0, [0, m) – Initial value of sequence known as seed m, a, c, and Xo should be chosen appropriately to get a period almost equal to m. For a = 1, it will be the additive congruence method. For c = 0, it will be the multiplicative congruence method. Approach: • Choose the seed value Xo, Modulus parameter m, Multiplier term a, and increment term c. Initialize the required amount of random numbers to generate (say, an integer variable noOfRandomNums). Define a storage to keep the generated random numbers (here, vector is considered) of size no0fRandomNums. • Initialize the Oth index of the vector with the seed value. For rest of the indexes follow the Linear Congruential Method to generate the random numbers. randomNums[i] = ([randomNums[i – 1] * a) + c) % m

7. Generating sequences of random-like numbers in a specific range. Xi+1 = aX; + c Mod m where, X, is the sequence of pseudo-random numbers m, (> 0) the modulus a, (0, m) the multiplier c, (0, m) the increment X0, [0, m) – Initial value of sequence known as seed m, a, c, and Xo should be chosen appropriately to get a period almost equal to m. For a = 1, it will be the additive congruence method. For c = 0, it will be the multiplicative congruence method. Approach: • Choose the seed value Xo, Modulus parameter m, Multiplier term a, and increment term c. Initialize the required amount of random numbers to generate (say, an integer variable noOfRandomNums). Define a storage to keep the generated random numbers (here, vector is considered) of size no0fRandomNums. • Initialize the Oth index of the vector with the seed value. For rest of the indexes follow the Linear Congruential Method to generate the random numbers. randomNums[i] = ([randomNums[i – 1] * a) + c) % m

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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