| alphamatrix | Computation of Alpha coefficient matrix |
| btcol | Auxilliary function computing factors. |
| btprod | Auxilliary function computing intermediate products. |
| drayl3D | Three dimensional Rayleigh density by series expansion |
| drayl4D | Four dimensional Rayleigh density by series expansion |
| drayl_int3D | Three Dimensional Rayleigh Density by Integration |
| drayl_int4D | Four Dimensional Rayleigh Density by Integration |
| zerooneoutput | Non-zero value determination |