Multiplicative Congruential Method (Lehmer Method) is a type of linear congruential generator for generating pseudorandom numbers in a specific range. This method can be defined as:
X, the sequence of pseudo-random numbers
m ( > 0), the modulus
a (0, m), the multiplier
X0 [0, m), initial value of the sequence – termed as seed
m, a, and X0 should be chosen appropriately to get a period almost equal to m.
- Choose the seed value ( X0 ), modulus parameter ( m ), and multiplier term ( a ).
- Initialize the required amount of random numbers to generate (say, an integer variable noOfRandomNums).
- Define a storage to keep the genrated random numbers (here, vector is considered) of size noOfRandomNums.
- Initialize the 0th index of the vector with the seed value.
- For rest of the indexes follow the Multiplicative Congruential Method to generate the random numbers.
randomNums[i] = (randomNums[i – 1] * a) % m
Finally, return the random numbers.
Below is the implementation of the above approach:
3 6 12 9 3 6 12 9 3 6
The literal meaning of pseudo is false. These random numbers are called pseudo because some known arithmetic procedure is utilized to generate. Even the generated sequence forms a pattern hence the generated number seems to be random but may not be truly random.
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