./random-walk.pl -benchmark -dimensions=1 -steps=3 -iterate -show_all
Starting Random Walk at 2015_10_06_17:30:46.637
Parameters are 1 dimensions (which has 2 directions) and 3 steps ...
Running 8 iterations - this can take a while ...

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

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

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

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

for iteration 5 the directions are: 2 1 1 
Step   Direction       D1 
   1           2        1
   2           1        0
   3           1       -1
Coordinates stepped on are: 1-1-1

for iteration 6 the directions are: 2 1 2 
Step   Direction       D1 
   1           2        1
   2           1        0
   3           2        1
Coordinates stepped on are: 1-1-2

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

for iteration 8 the directions are: 2 2 2 
Step   Direction       D1 
   1           2        1
   2           2        2
   3           2        3
Coordinates stepped on are: 1-1-1   Never returned to orgin


Frequency    Stepped Ons
        4    1-1-2
        4    1-1-1
        8    Total Routes
        4    Returned to orgin which is 50%


Frequency    Coordinate
        7    (1)
        7    (-1)
        4    (0)
        2    (2)
        2    (-2)
        1    (3)
        1    (-3)


Direction    Frequency
        1           12
        2           12


 Distance    Frequency    Cumulative
        0            4    10%
        1           18    50%
        2           22    90%
        3           24    100%


For Random Walk of 1 dimensions and 3 steps,
distance at which N percent of coordinates are contained
        0           10%
        1           50%
        2           90%
        3          100%


Timing Data dumped at 2015_10_06_17:30:46.638
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)