./random-walk.pl -benchmark -dimensions=2 -steps=2 -iterate -show_all
Starting Random Walk at 2015_10_06_17:30:46.777
Parameters are 2 dimensions (which has 4 directions) and 2 steps ...
Running 16 iterations - this can take a while ...

for iteration 1 the directions are: 1 1 
Step   Direction       D1   D2 
   1           1       -1    0
   2           1       -2    0
Coordinates stepped on are: 1-1   Never returned to orgin

for iteration 2 the directions are: 1 2 
Step   Direction       D1   D2 
   1           1       -1    0
   2           2        0    0
Coordinates stepped on are: 1-1

for iteration 3 the directions are: 1 3 
Step   Direction       D1   D2 
   1           1       -1    0
   2           3       -1   -1
Coordinates stepped on are: 1-1   Never returned to orgin

for iteration 4 the directions are: 1 4 
Step   Direction       D1   D2 
   1           1       -1    0
   2           4       -1    1
Coordinates stepped on are: 1-1   Never returned to orgin

for iteration 5 the directions are: 2 1 
Step   Direction       D1   D2 
   1           2        1    0
   2           1        0    0
Coordinates stepped on are: 1-1

for iteration 6 the directions are: 2 2 
Step   Direction       D1   D2 
   1           2        1    0
   2           2        2    0
Coordinates stepped on are: 1-1   Never returned to orgin

for iteration 7 the directions are: 2 3 
Step   Direction       D1   D2 
   1           2        1    0
   2           3        1   -1
Coordinates stepped on are: 1-1   Never returned to orgin

for iteration 8 the directions are: 2 4 
Step   Direction       D1   D2 
   1           2        1    0
   2           4        1    1
Coordinates stepped on are: 1-1   Never returned to orgin

for iteration 9 the directions are: 3 1 
Step   Direction       D1   D2 
   1           3        0   -1
   2           1       -1   -1
Coordinates stepped on are: 1-1   Never returned to orgin

for iteration 10 the directions are: 3 2 
Step   Direction       D1   D2 
   1           3        0   -1
   2           2        1   -1
Coordinates stepped on are: 1-1   Never returned to orgin

for iteration 11 the directions are: 3 3 
Step   Direction       D1   D2 
   1           3        0   -1
   2           3        0   -2
Coordinates stepped on are: 1-1   Never returned to orgin

for iteration 12 the directions are: 3 4 
Step   Direction       D1   D2 
   1           3        0   -1
   2           4        0    0
Coordinates stepped on are: 1-1

for iteration 13 the directions are: 4 1 
Step   Direction       D1   D2 
   1           4        0    1
   2           1       -1    1
Coordinates stepped on are: 1-1   Never returned to orgin

for iteration 14 the directions are: 4 2 
Step   Direction       D1   D2 
   1           4        0    1
   2           2        1    1
Coordinates stepped on are: 1-1   Never returned to orgin

for iteration 15 the directions are: 4 3 
Step   Direction       D1   D2 
   1           4        0    1
   2           3        0    0
Coordinates stepped on are: 1-1

for iteration 16 the directions are: 4 4 
Step   Direction       D1   D2 
   1           4        0    1
   2           4        0    2
Coordinates stepped on are: 1-1   Never returned to orgin


Frequency    Stepped Ons
       16    1-1
       16    Total Routes
        4    Returned to orgin which is 25%


Frequency    Coordinate
        4    (1,0)
        4    (0,1)
        4    (0,-1)
        4    (0,0)
        4    (-1,0)
        2    (-1,-1)
        2    (1,-1)
        2    (-1,1)
        2    (1,1)
        1    (0,2)
        1    (2,0)
        1    (0,-2)
        1    (-2,0)


Direction    Frequency
        1            8
        2            8
        3            8
        4            8


 Distance    Frequency    Cumulative
        0            4    10%
        1           20    50%
        2           32    100%


For Random Walk of 2 dimensions and 2 steps,
distance at which N percent of coordinates are contained
        0           10%
        1           50%
        2           90%
        2          100%


Timing Data dumped at 2015_10_06_17:30:46.778
000_start :                   0.000 wallclock secs ( 0.00 usr +  0.00 sys =  0.00 CPU)
101_end_of_program :          0.000 wallclock secs ( 0.00 usr +  0.00 sys =  0.00 CPU)
999_end :                     0.000 wallclock secs ( 0.00 usr +  0.00 sys =  0.00 CPU)