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1
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static uint32_t _rand32(); |
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2
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static uint64_t _rand64(); |
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3
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4
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// Borrowed from https://www.pcg-random.org/posts/bounded-rands.html |
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5
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100008
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static uint32_t _bounded_rand(uint32_t range) { |
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6
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100008
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uint32_t x = _rand32(); |
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7
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100008
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uint64_t m = (uint64_t)x * (uint64_t)range; |
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8
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100008
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uint32_t l = (uint32_t)m; |
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9
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10
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100008
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100
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if (l < range) { |
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11
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29964
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uint32_t t = -range; |
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12
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29964
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50
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if (t >= range) { |
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13
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0
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t -= range; |
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14
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0
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0
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if (t >= range) |
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15
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0
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t %= range; |
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16
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} |
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17
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30001
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100
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while (l < t) { |
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18
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37
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x = _rand32(); |
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19
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37
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m = (uint64_t)x * (uint64_t)range; |
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20
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37
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l = (uint32_t)m; |
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21
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} |
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22
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} |
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23
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24
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100008
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return m >> 32; |
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25
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} |
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26
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27
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// https://prng.di.unimi.it/#remarks |
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28
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40029
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static double _uint64_to_double(uint64_t num, bool inclusive) { |
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29
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// A standard 64bit double floating-point number in IEEE floating point |
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30
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// format has 52 bits of significand. Thus, the representation can actually |
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31
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// store numbers with 53 significant binary digits. |
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32
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33
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double scale; |
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34
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40029
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100
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if (inclusive) { |
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35
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10000
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scale = 1.0 / ((1ULL << 53) - 1); // [0, 1] |
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36
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} else { |
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37
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30029
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scale = 1.0 / (1ULL << 53); // [0, 1) |
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38
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} |
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39
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40
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40029
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double ret = (num >> 11) * scale; // Top 53 bits divided by 1/2^53 |
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41
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42
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//printf("Double: %0.15f\n", ret); |
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43
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44
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40029
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return ret; |
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45
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} |
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46
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47
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0
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static float _uint32_to_float(uint32_t num, bool inclusive) { |
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48
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float scale; |
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49
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0
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0
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if (inclusive) { |
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50
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0
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scale = 1.0f / ((1U << 24) - 1); // [0, 1] |
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51
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} else { |
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52
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0
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scale = 1.0f / (1U << 24); // [0, 1) |
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53
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} |
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54
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55
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0
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float ret = (num >> 8) * scale; |
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56
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57
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0
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return ret; |
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58
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} |
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59
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60
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// Why This Works |
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61
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// (x + 0.5) offsets each uint32_t value into the center of its floating-point "bin," reducing bias. |
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62
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// Multiplying by 1.0 / 4294967296.0 scales it into the range [0,1). |
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63
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0
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static double _uint32_to_double_old(uint32_t x) { |
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64
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0
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return (x + 0.5) * (1.0 / 4294967296.0); // 1/2^32 |
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65
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} |
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66
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67
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// MurmurHash3 Finalizer (Passes SmallCrush) |
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68
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8
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static uint64_t _hash_mur3(uint64_t x) { |
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69
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8
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x ^= x >> 33; |
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70
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8
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x *= 0xff51afd7ed558ccd; |
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71
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8
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x ^= x >> 33; |
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72
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8
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x *= 0xc4ceb9fe1a85ec53; |
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73
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8
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x ^= x >> 33; |
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74
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8
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return x; |
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75
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} |