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# Generate the spokes of a wheel, for wheel factorization.
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# Copyright (C) 2001, 2005, 2009-2011 Free Software Foundation, Inc.
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# This program is free software: you can redistribute it and/or modify
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# it under the terms of the GNU General Public License as published by
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# the Free Software Foundation, either version 3 of the License, or
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# (at your option) any later version.
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# This program is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU General Public License for more details.
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# You should have received a copy of the GNU General Public License
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# along with this program. If not, see <http://www.gnu.org/licenses/>.
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eval 'exec /usr/bin/perl -S $0 ${1+"$@"}'
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(my $ME = $0) =~ s|.*/||;
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# A global destructor to close standard output with error checking.
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warn "$ME: closing standard output: $!\n";
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or die "$ME: missing argument\n";
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my $wheel_size = $ARGV[0];
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my $product = $primes[0];
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for (my $i = 3; ; $i += 2)
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++$n_primes == $wheel_size
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my $ws_m1 = $wheel_size - 1;
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/* The first $ws_m1 elements correspond to the incremental offsets of the
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first $wheel_size primes (@primes). The $wheel_size(th) element is the
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difference between that last prime and the next largest integer
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that is not a multiple of those primes. The remaining numbers
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define the wheel. For more information, see
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http://www.utm.edu/research/primes/glossary/WheelFactorization.html. */
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for (my $i = 3; ; $i += 2)
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foreach my $divisor (@primes)
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$i != $divisor && $i % $divisor == 0
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#warn $i, ' ', $i - $prev, "\n";
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push @increments, $i - $prev;
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print join (",\n", @increments), "\n";