Sorry, for the non-maths types, what is 137 modulo 1000?

It means multiplying the current forecast by 731, then adding 137, and taking the last 3 digits of the result. “Remainder of…” and “modulo” are a bit redundant. Regardless I’m generally FOR this.

Ah, so if the current forecast is 250, then this would be (250 * 731) + 137 = 182,887 so the new forecast is 887? Okay.

Mildly against but only because I’m a theatre kid and maths is for nerds.

(Someone make a Function that runs on feelings????!)

Josh’s can you please propose the Josh Attitudinal Indicator that you can change whenever you’d like to a rating of your emotions?

It’s 37 hours until I get a slot back but when I do it will be a high priority

Not sure how much this matters, but this LCG has a period of only 500; i.e, it misses half of the numbers from 0 to 999.  If a future proposal relies on getting a particular number that might be an issue.

Oh dear. I feel like I could probably quickpatch that by changing to 761 and 167 without major rule impact in the meantime. I’ll try to get up an edit tomorrow.

need to do some analysis

Chiiika’s observation on this Algorithm
Seed = 500
500 > 637 > 784 > 241 > 308 > 285 > 472 > 169 > 676 > 293
> 320 > 57 > 804 > 861 > 528 > 105 > 892 > 189 > 296 > 513
> 140 > 477 > 824 > 481 > 748 > 925 > 312 > 209 > 916 > 733
> 960 > 897 > 844 > 101 > 968 > 745 > 732 > 229 > 536 > 953
> 780 > 317 > 864 > 721 > 188 > 565 > 152 > 249 > 156 > 173
> 600 > 737 > 884 > 341 > 408 > 385 > 572 > 269 > 776 > 393
> 420 > 157 > 904 > 961 > 628 > 205 > 992 > 289 > 396 > 613
> 240 > 577 > 924 > 581 > 848 > 25 > 412 > 309 > 16 > 833
> 60 > 997 > 944 > 201 > 68 > 845 > 832 > 329 > 636 > 53
> 880 > 417 > 964 > 821 > 288 > 665 > 252 > 349 > 256 > 273
> 700 > 837 > 984 > 441 > 508 > 485 > 672 > 369 > 876 > 493
> 520 > 257 > 4 > 61 > 728 > 305 > 92 > 389 > 496 > 713
> 340 > 677 > 24 > 681 > 948 > 125 > 512 > 409 > 116 > 933
> 160 > 97 > 44 > 301 > 168 > 945 > 932 > 429 > 736 > 153
> 980 > 517 > 64 > 921 > 388 > 765 > 352 > 449 > 356 > 373
> 800 > 937 > 84 > 541 > 608 > 585 > 772 > 469 > 976 > 593
> 620 > 357 > 104 > 161 > 828 > 405 > 192 > 489 > 596 > 813
> 440 > 777 > 124 > 781 > 48 > 225 > 612 > 509 > 216 > 33
> 260 > 197 > 144 > 401 > 268 > 45 > 32 > 529 > 836 > 253
> 80 > 617 > 164 > 21 > 488 > 865 > 452 > 549 > 456 > 473
> 900 > 37 > 184 > 641 > 708 > 685 > 872 > 569 > 76 > 693
> 720 > 457 > 204 > 261 > 928 > 505 > 292 > 589 > 696 > 913
> 540 > 877 > 224 > 881 > 148 > 325 > 712 > 609 > 316 > 133
> 360 > 297 > 244 > 501 > 368 > 145 > 132 > 629 > 936 > 353
> 180 > 717 > 264 > 121 > 588 > 965 > 552 > 649 > 556 > 573
> 0 > 137 > 284 > 741 > 808 > 785 > 972 > 669 > 176 > 793
> 820 > 557 > 304 > 361 > 28 > 605 > 392 > 689 > 796 > 13
> 640 > 977 > 324 > 981 > 248 > 425 > 812 > 709 > 416 > 233
> 460 > 397 > 344 > 601 > 468 > 245 > 232 > 729 > 36 > 453
> 280 > 817 > 364 > 221 > 688 > 65 > 652 > 749 > 656 > 673
> 100 > 237 > 384 > 841 > 908 > 885 > 72 > 769 > 276 > 893
> 920 > 657 > 404 > 461 > 128 > 705 > 492 > 789 > 896 > 113
> 740 > 77 > 424 > 81 > 348 > 525 > 912 > 809 > 516 > 333
> 560 > 497 > 444 > 701 > 568 > 345 > 332 > 829 > 136 > 553
> 380 > 917 > 464 > 321 > 788 > 165 > 752 > 849 > 756 > 773
> 200 > 337 > 484 > 941 > 8 > 985 > 172 > 869 > 376 > 993
> 20 > 757 > 504 > 561 > 228 > 805 > 592 > 889 > 996 > 213
> 840 > 177 > 524 > 181 > 448 > 625 > 12 > 909 > 616 > 433
> 660 > 597 > 544 > 801 > 668 > 445 > 432 > 929 > 236 > 653
> 480 > 17 > 564 > 421 > 888 > 265 > 852 > 949 > 856 > 873
> 300 > 437 > 584 > 41 > 108 > 85 > 272 > 969 > 476 > 93
> 120 > 857 > 604 > 661 > 328 > 905 > 692 > 989 > 96 > 313
> 940 > 277 > 624 > 281 > 548 > 725 > 112 > 9 > 716 > 533
> 760 > 697 > 644 > 901 > 768 > 545 > 532 > 29 > 336 > 753
> 580 > 117 > 664 > 521 > 988 > 365 > 952 > 49 > 956 > 973
> 400 > 537 > 684 > 141 > 208 > 185 > 372 > 69 > 576 > 193
> 220 > 957 > 704 > 761 > 428 > 5 > 792 > 89 > 196 > 413
> 40 > 377 > 724 > 381 > 648 > 825 > 212 > 109 > 816 > 633
> 860 > 797 > 744 > 1 > 868 > 645 > 632 > 129 > 436 > 853
> 680 > 217 > 764 > 621 > 88 > 465 > 52 > 149 > 56 > 73
> 500…
=====
Printed 500 numbers.

def seem_random(ite):
  new_ite = 0
  new_ite = (ite*731+137)00
  return new_ite
 
num_printed = 2
print(“Chiiika’s observation on this Algorithm”)
seed = 500
print(“Seed = ” + str(seed))
seed = seem_random(seed)
print(“500 > ” + str(seed), end=’‘)
while (seed != 500):
  seed = seem_random(seed)
  print(” > ” + str(seed), end=’‘)
  num_printed = num_printed+1
  if(num_printed == 0):
  print(”“)
print(”...”)
print(”=====”)
print(“Printed ” + str(num_printed-1) + ” numbers.”)

CoV this is too easily predictable, and with a range of 500 & the last digit follows 0 - 7 - 4 - 1 - 8 - 5 - 2 - 9 - 6 - 3

To add on to Chiiika’s point, modulo arithmetic is usually predictable because you are pretty much doing x+ny(where x is the base number, y is the incriminating factor and n is the number of times you multiply it). Every number has it’s cycle that it revolves around and all that x does is shift every number in the cycle by x

Additionally, since you subtract 1000 when it goes over 1000, it still retains the last 3 digits.

Why is predictable bad?

This isn’t intended to be a cryptographic dynasty, I think - the initial statement by the Emperor was “some shared pseudorandom number generator, which obeys some mathematical law or changes based on the gamestate…  Players can predict or manipulate its results just by crunching the numbers and seeing where they land,” so some degree of grokability is necessary at some level. This early on in the dynasty, is it really desirable to have mechanics that require a detailed understanding of quantum mechanics to be able parse?

The main problem is the 500 range instead of the full 1k. I’ll try to devise some sort of function that will give us the full range

Okay, but still, this is an exercise in game design, not on exercise in pure maths… A range of 500 possibilities with superficially unpredictable outcomes is going to be fine for most game-related scenarios, even if the equation isn’t as aesthetically pleasing as it could be…