16 June 2025  11:44:49.899 AM

helmholtz_exact_test():
  Fortran90 version
  Test helmholtz_exact().

  Helmholtz exact solution with
  m =  0 n =  1

  k   X(k)  Y(k)  Z(k)
 
   1      0.0000      0.0000     0.00000    
   2      0.7500      0.0000     0.00000    
   3      1.0607      0.0000     0.00000    
   4      1.2990      0.0000     0.00000    
   5      1.5000      0.0000     0.00000    
   6      0.2318      0.7133     0.00000    
   7      0.3278      1.0087     0.00000    
   8      0.4014      1.2355     0.00000    
   9      0.4635      1.4266     0.00000    
  10     -0.6068      0.4408    -0.00000    
  11     -0.8581      0.6234    -0.00000    
  12     -1.0509      0.7636    -0.00000    
  13     -1.2135      0.8817    -0.00000    
  14     -0.6068     -0.4408    -0.00000    
  15     -0.8581     -0.6234    -0.00000    
  16     -1.0509     -0.7636    -0.00000    
  17     -1.2135     -0.8817    -0.00000    
  18      0.2318     -0.7133    -0.00000    
  19      0.3278     -1.0087    -0.00000    
  20      0.4014     -1.2355    -0.00000    
  21      0.4635     -1.4266    -0.00000    

  Helmholtz exact solution with
  m =  1 n =  2

  k   X(k)  Y(k)  Z(k)
 
   1      0.0000      0.0000     0.00000    
   2      0.7500      0.0000     3.64050    
   3      1.0607      0.0000     3.51926    
   4      1.2990      0.0000     1.87913    
   5      1.5000      0.0000   -0.796709E-15
   6      0.2318      0.7133    -1.34035    
   7      0.3278      1.0087    -1.29572    
   8      0.4014      1.2355   -0.691853    
   9      0.4635      1.4266   -0.733327E-15
  10     -0.6068      0.4408    -1.47176    
  11     -0.8581      0.6234    -1.42275    
  12     -1.0509      0.7636   -0.759684    
  13     -1.2135      0.8817   -0.805225E-15
  14     -0.6068     -0.4408     3.72172    
  15     -0.8581     -0.6234     3.59778    
  16     -1.0509     -0.7636     1.92105    
  17     -1.2135     -0.8817   -0.285069E-14
  18      0.2318     -0.7133    -4.55010    
  19      0.3278     -1.0087    -4.39857    
  20      0.4014     -1.2355    -2.34864    
  21      0.4635     -1.4266    0.995772E-15

  Helmholtz exact solution with
  m =  2 n =  3

  k   X(k)  Y(k)  Z(k)
 
   1      0.0000      0.0000     0.00000    
   2      0.7500      0.0000     3.07182    
   3      1.0607      0.0000    -1.15430    
   4      1.2990      0.0000    -2.14200    
   5      1.5000      0.0000    0.334225E-15
   6      0.2318      0.7133    -3.83934    
   7      0.3278      1.0087     1.44271    
   8      0.4014      1.2355     2.67719    
   9      0.4635      1.4266    0.375960E-14
  10     -0.6068      0.4408     3.14035    
  11     -0.8581      0.6234    -1.18005    
  12     -1.0509      0.7636    -2.18979    
  13     -1.2135      0.8817   -0.307514E-14
  14     -0.6068     -0.4408    -1.24186    
  15     -0.8581     -0.6234    0.466655    
  16     -1.0509     -0.7636    0.865958    
  17     -1.2135     -0.8817   -0.121607E-14
  18      0.2318     -0.7133    -1.13098    
  19      0.3278     -1.0087    0.424988    
  20      0.4014     -1.2355    0.788638    
  21      0.4635     -1.4266   -0.123054E-15

helmholtz_exact_test():
  Normal end of execution.

16 June 2025  11:44:49.899 AM