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Lehmer's Algorithm using matlab
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| % Lehmer's algorithm | |
| function [] = random() | |
| m = 13; % modulus value | |
| x = 0:0:m-1; % will store a sequence of random number | |
| a = 7; % multiplier | |
| i = 0; % general-purpose counter | |
| c = 0; % non-negative integer | |
| p = 1; % full-period multiplier counter | |
| temp = 0; % temporary variable | |
| % Initial seed | |
| % WARNING! x(1) must not equal to 0 and not equal to m | |
| % Make sure to set the x in this range: 0 < x(1) < m | |
| x(1) = 1; | |
| % Generate a sequence of random numbers | |
| % Formula: x[i+1] = (a^i * x[1]) mod m | |
| for i=1:1:m-1 | |
| x(i+1) = mod( a^i*x(1) ,m); | |
| end | |
| x | |
| % Check if a is full-period multiplier | |
| p = 1; | |
| temp = a; | |
| while temp ~= 1 | |
| p = p + 1; | |
| temp = mod(a*temp, m); | |
| end | |
| if p == m - 1 | |
| fprintf('a is a full-period multiplier\n'); | |
| else | |
| fprintf('a is NOT a full-period multiplier\n'); | |
| end |
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