# ./mk_cos.pl -k 2*pi/8 -n 32
#
# x_n   Re{f_n}    Im{f_n}
  0.0   1.0000000  0.0000000
  1.0   0.7071068  0.0000000
  2.0   0.0000000  0.0000000
  3.0  -0.7071068  0.0000000
  4.0  -1.0000000  0.0000000
  5.0  -0.7071068  0.0000000
  6.0  -0.0000000  0.0000000
  7.0   0.7071068  0.0000000
  8.0   1.0000000  0.0000000
  9.0   0.7071068  0.0000000
 10.0   0.0000000  0.0000000
 11.0  -0.7071068  0.0000000
 12.0  -1.0000000  0.0000000
 13.0  -0.7071068  0.0000000
 14.0  -0.0000000  0.0000000
 15.0   0.7071068  0.0000000
 16.0   1.0000000  0.0000000
 17.0   0.7071068  0.0000000
 18.0   0.0000000  0.0000000
 19.0  -0.7071068  0.0000000
 20.0  -1.0000000  0.0000000
 21.0  -0.7071068  0.0000000
 22.0  -0.0000000  0.0000000
 23.0   0.7071068  0.0000000
 24.0   1.0000000  0.0000000
 25.0   0.7071068  0.0000000
 26.0  -0.0000000  0.0000000
 27.0  -0.7071068  0.0000000
 28.0  -1.0000000  0.0000000
 29.0  -0.7071068  0.0000000
 30.0  -0.0000000  0.0000000
 31.0   0.7071068  0.0000000