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8097 | maxcodehac | 1 | (* ************************************ |
2 | Генератор какбыслучайных чисел, |
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3 | Линейный конгруэнтный метод, |
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4 | алгоритм Лемера. |
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5 | Вадим Исаев, 2020 |
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6 | ------------------------------- |
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7 | Generator pseudorandom numbers, |
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8 | Linear congruential generator, |
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9 | Algorithm by D. H. Lehmer. |
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10 | Vadim Isaev, 2020 |
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11 | *************************************** *) |
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12 | |||
13 | MODULE Rand; |
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14 | |||
15 | IMPORT HOST, Math; |
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16 | |||
17 | |||
18 | CONST |
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19 | |||
20 | RAND_MAX = 2147483647; |
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21 | |||
22 | |||
23 | VAR |
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24 | seed: INTEGER; |
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25 | |||
26 | |||
27 | PROCEDURE Randomize*; |
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28 | BEGIN |
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29 | seed := HOST.GetTickCount() |
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30 | END Randomize; |
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31 | |||
32 | |||
33 | (* Целые какбыслучайные числа до RAND_MAX *) |
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34 | PROCEDURE RandomI* (): INTEGER; |
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35 | CONST |
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36 | a = 630360016; |
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37 | |||
38 | BEGIN |
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39 | seed := (a * seed) MOD RAND_MAX |
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40 | RETURN seed |
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41 | END RandomI; |
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42 | |||
43 | |||
44 | (* Какбыслучайные числа с плавающей запятой от 0 до 1 *) |
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45 | PROCEDURE RandomR* (): REAL; |
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46 | RETURN FLT(RandomI()) / FLT(RAND_MAX) |
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47 | END RandomR; |
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48 | |||
49 | |||
50 | (* Какбыслучайное число в диапазоне от 0 до l. |
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51 | Return a random number in a range 0 ... l *) |
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52 | PROCEDURE RandomITo* (aTo: INTEGER): INTEGER; |
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53 | RETURN FLOOR(RandomR() * FLT(aTo)) |
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54 | END RandomITo; |
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55 | |||
56 | |||
57 | (* Какбыслучайное число в диапазоне. |
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58 | Return a random number in a range *) |
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59 | PROCEDURE RandomIRange* (aFrom, aTo: INTEGER): INTEGER; |
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60 | RETURN FLOOR(RandomR() * FLT(aTo - aFrom)) + aFrom |
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61 | END RandomIRange; |
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62 | |||
63 | |||
64 | (* Какбыслучайное число. Распределение Гаусса *) |
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65 | PROCEDURE RandG* (mean, stddev: REAL): REAL; |
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66 | VAR |
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67 | U, S: REAL; |
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68 | |||
69 | BEGIN |
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70 | REPEAT |
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71 | U := 2.0 * RandomR() - 1.0; |
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72 | S := Math.sqrr(U) + Math.sqrr(2.0 * RandomR() - 1.0) |
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73 | UNTIL (1.0E-20 < S) & (S <= 1.0) |
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74 | |||
75 | RETURN Math.sqrt(-2.0 * Math.ln(S) / S) * U * stddev + mean |
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76 | END RandG; |
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77 | |||
78 | |||
79 | BEGIN |
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80 | seed := 654321 |
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81 | END Rand.=>> |