17 June 2025 09:47:05 AM

helmholtz_exact_test():
  C version
  Test helmholtz_exact().

  Helmholtz exact solution with
  m = 1, n = 2

  k   X(k)  Y(k)  Z(k)

   0      0.0000      0.0000               0
   1      0.7500      0.0000          3.6405
   2      1.0607      0.0000         3.51926
   3      1.2990      0.0000         1.87913
   4      1.5000      0.0000    -7.96709e-16
   5      0.2318      0.7133        -1.34035
   6      0.3278      1.0087        -1.29572
   7      0.4014      1.2355       -0.691853
   8      0.4635      1.4266    -7.33327e-16
   9     -0.6068      0.4408        -1.47176
  10     -0.8581      0.6234        -1.42275
  11     -1.0509      0.7636       -0.759684
  12     -1.2135      0.8817    -8.05225e-16
  13     -0.6068     -0.4408         3.72172
  14     -0.8581     -0.6234         3.59778
  15     -1.0509     -0.7636         1.92105
  16     -1.2135     -0.8817    -2.85069e-15
  17      0.2318     -0.7133         -4.5501
  18      0.3278     -1.0087        -4.39857
  19      0.4014     -1.2355        -2.34864
  20      0.4635     -1.4266     9.95772e-16

  Helmholtz exact solution with
  m = 2, n = 3

  k   X(k)  Y(k)  Z(k)

   0      0.0000      0.0000               0
   1      0.7500      0.0000         3.07182
   2      1.0607      0.0000         -1.1543
   3      1.2990      0.0000          -2.142
   4      1.5000      0.0000     3.34225e-16
   5      0.2318      0.7133        -3.83934
   6      0.3278      1.0087         1.44271
   7      0.4014      1.2355         2.67719
   8      0.4635      1.4266      3.7596e-15
   9     -0.6068      0.4408         3.14035
  10     -0.8581      0.6234        -1.18005
  11     -1.0509      0.7636        -2.18979
  12     -1.2135      0.8817    -3.07514e-15
  13     -0.6068     -0.4408        -1.24186
  14     -0.8581     -0.6234        0.466655
  15     -1.0509     -0.7636        0.865958
  16     -1.2135     -0.8817    -1.21607e-15
  17      0.2318     -0.7133        -1.13098
  18      0.3278     -1.0087        0.424988
  19      0.4014     -1.2355        0.788638
  20      0.4635     -1.4266    -1.23054e-16

helmholtz_exact_test():
  Normal end of execution.

17 June 2025 09:47:05 AM