Matrix transposition

From Rosetta Code
Revision as of 12:52, 7 February 2008 by rosettacode>NevilleDNZ (add ALGOL 68 and python)
Task
Matrix transposition
You are encouraged to solve this task according to the task description, using any language you may know.

Transpose an arbitrarily sized rectangular Matrix.

ALGOL 68

main:(

  [,]REAL m=((1,  1,  1,   1),
             (2,  4,  8,  16),
             (3,  9, 27,  81),
             (4, 16, 64, 256),
             (5, 25,125, 625));

  OP ZIP = ([,]REAL in)[,]REAL:(
    [2 LWB in:2 UPB in,1 LWB in:1UPB in]REAL out;
    FOR i FROM LWB in TO UPB in DO
      out[,i]:=in[i,] 
    OD;
    out
  );

  PROC pprint = ([,]REAL m)VOID:(
    FORMAT real fmt = $g(-6,2)$; # width of 6, with no '+' sign, 2 decimals #
    FORMAT vec fmt = $"("n(2 UPB m-1)(f(real fmt)",")f(real fmt)")"$;
    FORMAT matrix fmt = $x"("n(UPB m-1)(f(vec fmt)","lxx)f(vec fmt)");"$;
    # finally print the result #
    printf((matrix fmt,m))
  );

  printf(($x"Transpose:"l$));
  pprint((ZIP m))
)

Output:

Transpose:
((  1.00,  2.00,  3.00,  4.00,  5.00),
 (  1.00,  4.00,  9.00, 16.00, 25.00),
 (  1.00,  8.00, 27.00, 64.00,125.00),
 (  1.00, 16.00, 81.00,256.00,625.00));

Python

#!/usr/bin/env python
from pprint import pprint
m=((1,  1,  1,   1),
   (2,  4,  8,  16),
   (3,  9, 27,  81),
   (4, 16, 64, 256),
   (5, 25,125, 625));
pprint(zip(*m))

Output:

[(1, 2, 3, 4, 5),
 (1, 4, 9, 16, 25),
 (1, 8, 27, 64, 125),
 (1, 16, 81, 256, 625)]