(49G 49g+ 50g 48gII) NMDUP

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(49G 49g+ 50g 48gII) NMDUP - DavidM - 05-16-2018 01:12 PM

DUPN and NDUPN are very useful RPL commands that also happen to be very fast ways of replicating objects on the stack. DUPN makes a single copy of the number of objects specified:

1 2 3 3 DUPN => 1 2 3 1 2 3

...and NDUPN makes a single object with the specified number of copies, followed by the number of copies:

7 8 9 3 NDUPN => 7 8 9 9 9 3.

Another similar scenario that can be useful has no single command, though. Specifically, replicating a group of objects a set number of times. The following SysRPL program can be used to perform this function:

Code:
::
   ( stack on entry:
     n: anything
     ...
     2: group count [integer]
     1: repeat factor [integer]
   )

   CK2NOLASTWD                         ( stack must contain at least 2 objects )
   CK&DISPATCH1
   BINT17 ( ..., real, real ) ::       ( SL1/2 must contain numbers )
      COERCE2                          ( convert to BINTs )
      OVER #3+                         ( check stack depth )
      DEPTH #> case SETSTACKERR        ( error if stack not deep enough )

      ( special cases )
      DUP#0=case :: DROP NDROP ;       ( repeat factor of 0 )
      DUP#1= casedrop DROP             ( repeat factor of 1 )
      OVER#0= casedrop DROP            ( group count of 0 )

      ( otherwise )
      SWAP 1LAMBIND                    ( save group count in NULLLAM )
      ONE_DO (DO)                      ( loop [repfactor - 1] times )
         1GETLAM NDUP                  ( NDUP the current group )
      LOOP
      ABND                             ( abandon NULLLAM )
   ;
;

Compile the above and give it a suitable name (I use NMDUP). To use it, place two numbers on the stack which represent the following:

2: N (the number of elements in the stack to replicate/group size)
1: M (the number copies of the elements to make)

Note that M represents the total quantity of duplicates, not the additional ones. So a quantity of 0 is the same as dropping N elements, a quantity of 1 does nothing, etc. Likewise, an N of 0 will have no affect on the rest of the stack, as there are no stack items identified for replication.

Examples:

1 2 3 3 0 NMDUP => <nothing>
1 2 3 3 1 NMDUP => 1 2 3
1 2 3 3 2 NMDUP => 1 2 3 1 2 3
1 2 3 2 5 NMDUP => 1 2 3 2 3 2 3 2 3 2 3
1 2 3 0 5 NMDUP => 1 2 3