Walker Hasting Algorithm for O(1) symmetry (1<S<1) 
Spins with one components: S=x local field : h_{local}=(h_{local}^{x}) Energy=S.h_{local}=h_{local}.x P(x)=e^{Energy/T}.dx =e^{h.x}.dx 
The Alias Walker (AW) and Alias Walker Hasting (AWH) Algorithms use the rejection method with a function consisting of n steps (see the figure and article for more details) 
1.  To use the Alias Walker (AW) and Alias Walker Hasting (AWH) Algorithms you must have :  


2.  AND you must have the tables in the file "O1_walker.res". Two choices: . You can choose to download the file O1_walker.res already done or make one with create_O1_walker.out (.exe for windows), run it, and follow the instructions.  


