Leaf type =      Planophile
     Angle         beta            exact 
      5.00          0.2251          0.2205 
     15.00          0.2179          0.2073 
     25.00          0.1847          0.1825 
     35.00          0.1456          0.1491 
     45.00          0.1066          0.1111 
     55.00          0.0707          0.0731 
     65.00          0.0401          0.0397 
     75.00          0.0167          0.0149 
     85.00          0.0024          0.0017 
 
beta distribution 
Sum of leaf angle distribution =          1.0098
Mean leaf angle =         26.8582
 
Exact solution 
Sum of leaf angle distribution =          1.0000
Mean leaf angle =         26.8558
 
Analytical solution 
Mean leaf angle =         26.7622
 
Ross index 
beta distribution =          0.4888
   Exact solution =          0.4764