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(50G) Perfect Permutation Producer
05-27-2015, 01:53 PM (This post was last modified: 06-15-2017 01:40 PM by Gene.)
Post: #1
(50G) Perfect Permutation Producer
Given a prime positive integer P & a positive integer input the programme produces a perfect permutation of the positive integers < P.

A perfect permutation consists of integers where the difference between neighbours is not repeated.

eg For input

107
45

the programme returns

{ 1 45 99 68 64 98 23 72 30 66 81 7 101 51 48 20 44 54 76 103 34 32 49 65 36 15 33 94 57 104 79 24 10 22 27 38 105 17 16 78 86 18 61 70 47 82 52 93 12 5 11 67 19 106 62 8 39 43 9 84 35 77 41 26 100 6 56 59 87 63 53 31 4 73 75 58 42 71 92 74 13 50 3 28 83 97 85 80 69 2 90 91 29 21 89 46 37 60 25 55 14 95 102 96 40 88 }


Code:

::
  CK2&Dispatch
  # FFFF
  ::
    OVER
    Z2_
    EQUAL
    caseSIZEERR
    OVER
    Z3_
    EQUALcase
    ::
      2DROP
      {
        Z1_
        Z2_
      }
    ;
    Z1_
    FPTR2 ^RSUBext
    ::
      SWAP
      FPTR2 ^ZABS
      FPTR2 ^DupZIsTwo?
      case
      ::
        SWAPDROP
        Z1_
      ;
      DUP
      ::
        FPTR2 ^ISPRIME
        %0<>
        ?SEMI
        # DE1E
        ERROROUT
      ;
      DUP
      Z1_
      FPTR2 ^QSub
      DUP
      FPTR2 ^MZSQFF
      NULL{}
      SWAP
      #2/
      DUPUNROT
      ZERO_DO
      2SWAP
      DROP
      >TCOMP
      LOOP
      SWAPROT
      FPTR2 ^2LAMBIND
      ROT
      BEGIN
      Z1_
      FPTR2 ^QAdd
      ::
        DUP
        FPTR2 ^ZSQRT
        SWAPDROP
        caseFALSE
        3PICK
        FPTR2 ^ZMod
        FPTR2 ^DupQIsZero?
        caseFALSE
        TRUE
        4UNROLL
        2GETLAM
        #1+_ONE_DO
        DUP
        1GETLAM
        4PICK
        INDEX@
        NTHCOMPDROP
        FPTR2 ^ZQUOText
        5PICK
        FPTR2 ^ModPow
        4PICK
        FPTR2 ^QMod
        FPTR2 ^ZIsOne?
        IT
        ::
          4ROLLDROP
          FALSE
          4UNROLL
          ExitAtLOOP
        ;
        LOOP
        4ROLL
      ;
      UNTIL
      ABND
      SWAPDROP
    ;
    Z1_
    UNROTOVER
    Z1_
    FPTR2 ^RSUBext
    3UNROLL
    Z1_
    ROTDUP
    FPTR2 ^Z2BIN
    #1-
    DUPUNROT
    FPTR2 ^2LAMBIND
    #2/
    ONE_DO
    OVER
    2GETLAM
    FPTR2 ^ModMul
    DUP
    2GETLAM
    FPTR2 ^Mod
    2GETLAM
    OVER
    FPTR2 ^RSUBext
    SWAPINDEX@
    #4+
    UNROLL
    3UNROLL
    LOOP
    2DROP
    1GETABND
    {}N
  ;
;
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