diff options
Diffstat (limited to 'gr-blocks/lib/gen_sine_table.py')
-rwxr-xr-x | gr-blocks/lib/gen_sine_table.py | 77 |
1 files changed, 77 insertions, 0 deletions
diff --git a/gr-blocks/lib/gen_sine_table.py b/gr-blocks/lib/gen_sine_table.py new file mode 100755 index 0000000000..d7d11eff11 --- /dev/null +++ b/gr-blocks/lib/gen_sine_table.py @@ -0,0 +1,77 @@ +#!/usr/bin/env python +# +# Copyright 2004 Free Software Foundation, Inc. +# +# This file is part of GNU Radio +# +# GNU Radio is free software; you can redistribute it and/or modify +# it under the terms of the GNU General Public License as published by +# the Free Software Foundation; either version 3, or (at your option) +# any later version. +# +# GNU Radio is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY; without even the implied warranty of +# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +# GNU General Public License for more details. +# +# You should have received a copy of the GNU General Public License +# along with GNU Radio; see the file COPYING. If not, write to +# the Free Software Foundation, Inc., 51 Franklin Street, +# Boston, MA 02110-1301, USA. +# + +import math +import sys + +def wrap (x): + if x >= 2**31: + return x - 2**32 + return x + +def gen_approx_table (f, nentries, min_x, max_x): + """return a list of nentries containing tuples of the form: + (m, c, abs_error). min_x and max_x specify the domain + of the table. + """ + r = [] + incx = float (max_x - min_x) / nentries + for i in range (nentries): + a = (i * incx) + min_x + b = ((i + 1) * incx) + min_x + m = (f(b)-f(a))/(b-a) + c = (3*a+b)*(f(a)-f(b))/(4*(b-a)) + (f((a+b)/2) + f(a))/2 + abs_error = c+m*a-f(a) + r.append ((m, c, abs_error)) + return r + +def scaled_sine (x): + return math.sin (x * math.pi / 2**31) + +def gen_sine_table (): + nbits = 10 + nentries = 2**nbits + + # min_x = -2**31 + # max_x = 2**31-1 + min_x = 0 + max_x = 2**32-1 + t = gen_approx_table (scaled_sine, nentries, min_x, max_x) + + max_error = 0 + for e in t: + max_error = max (max_error, abs (e[2])) + + # sys.stdout.write ('static const int WORDBITS = 32;\n') + # sys.stdout.write ('static const int NBITS = %d;\n' % (nbits,)) + + sys.stdout.write (' // max_error = %22.15e\n' % (max_error,)) + + # sys.stdout.write ('static const double sine_table[%d][2] = {\n'% (nentries,)) + + for e in t: + sys.stdout.write (' { %22.15e, %22.15e },\n' % (2 * e[0], e[1])) + + # sys.stdout.write ('};\n') + +if __name__ == '__main__': + gen_sine_table () |