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Add script for regenerating src/finfield_conway.h #4868

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Apr 19, 2022
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Add script for regenerating src/finfield_conway.h #4868

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111 changes: 111 additions & 0 deletions etc/gen_conway.g
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Original file line number Diff line number Diff line change
@@ -0,0 +1,111 @@
#############################################################################
##
## This file is part of GAP, a system for computational discrete algebra.
## This files's authors include Jan De Beule, Max Horn.
##
## Copyright of GAP belongs to its developers, whose names are too numerous
## to list here. Please refer to the COPYRIGHT file for details.
##
## SPDX-License-Identifier: GPL-2.0-or-later
##
## This file contains code to regenerate the PolsFF table in
## src/finfield_conway.h.
##

ConwayPolForCCodeNice := function(p,h,align)
local list,substring,co,sub,i,lc,lpp,empty,a;
empty := Concatenation(List([1..40],x->" "));
list := ConwayPol(p,h);
substring := [String(p^h, align)];
Add(substring,", ");
for i in [1..Length(list)-1] do
co := Int(list[i]);
if co = 0 then
lpp := Length(String(p^(i-1)));
if p = 2 then
sub := empty{[1..1+lpp]};
else
sub := empty{[1..3+lpp]};
fi;
else
if i = 1 then
sub := Concatenation(String(co, 2)," ");
elif p = 2 then
sub := Concatenation("+",String(p^(i-1)));
else
sub := Concatenation("+",String(co),"*",String(p^(i-1)));
fi;
fi;
Add(substring,sub);
od;
# Remove trailing all-whitespace entries
repeat
a := Remove(substring);
NormalizeWhitespace(a);
until Length(a) > 0;
Add(substring, a);
Add(substring,",\n");
return Concatenation(substring);
end;

MAX := 2^16;
align := 4 + LogInt(MAX, 10);

polynomials_as_strings_of_numbers := [];
p := 2;
while p^2 <= MAX do
Print("\rProcessing p = ", p, "\c");
max_h := LogInt(MAX, p);
for h in [2..max_h] do
Add(polynomials_as_strings_of_numbers,ConwayPolForCCodeNice(p,h,align));
od;
p := NextPrimeInt(p);
od;
Print("\n");

CleanupNewlines := function(str)
if str[1] = '\n' then Remove(str, 1); fi;
return str;
end;

stream := OutputTextFile("src/finfield_conway.h", false);
SetPrintFormattingStatus(stream, false);
PrintTo(stream, CleanupNewlines("""
/****************************************************************************
**
** This file is part of GAP, a system for computational discrete algebra.
**
** Copyright of GAP belongs to its developers, whose names are too numerous
** to list here. Please refer to the COPYRIGHT file for details.
**
** SPDX-License-Identifier: GPL-2.0-or-later
**
** The polynomial for q = p^r will be of the form x^r + \sum{a_i x^i} and is
** represented as \sum{a_i q^i}.
*/

#ifndef GAP_FINFIELD_CONWAY_H
#define GAP_FINFIELD_CONWAY_H

/****************************************************************************
**
*V PolsFF . . . . . . . . . . list of Conway polynomials for finite fields
**
** 'PolsFF' is a list of Conway polynomials for finite fields. The even
** entries are the proper prime powers, odd entries are the corresponding
** conway polynomials.
*/
extern const unsigned long PolsFF[]; // FIXME: should be static, but cvec uses it
const unsigned long PolsFF[] = {
"""));
for p in polynomials_as_strings_of_numbers do
PrintTo(stream, p);
od;
PrintTo(stream, CleanupNewlines("""
};


#endif // GAP_FINFIELD_CONWAY_H
"""));

CloseStream(stream);
103 changes: 53 additions & 50 deletions src/finfield_conway.h
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Original file line number Diff line number Diff line change
Expand Up @@ -6,6 +6,9 @@
** to list here. Please refer to the COPYRIGHT file for details.
**
** SPDX-License-Identifier: GPL-2.0-or-later
**
** The polynomial for q = p^r will be of the form x^r + \sum{a_i x^i} and is
** represented as \sum{a_i q^i}.
*/

#ifndef GAP_FINFIELD_CONWAY_H
Expand All @@ -21,71 +24,71 @@
*/
extern const unsigned long PolsFF[]; // FIXME: should be static, but cvec uses it
const unsigned long PolsFF[] = {
4, 1+2,
8, 1+2,
16, 1+2,
32, 1 +4,
64, 1+2 +8+16,
128, 1+2,
256, 1 +4+8+16,
512, 1 +16,
1024, 1+2+4+8 +32+64,
2048, 1 +4,
4096, 1+2 +8 +32+64+128,
8192, 1+2 +8+16,
16384, 1 +8 +32 +128,
32768, 1 +4 +16+32,
65536, 1 +4+8 +32,
4, 1 +2,
8, 1 +2,
16, 1 +2,
32, 1 +4,
64, 1 +2 +8+16,
128, 1 +2,
256, 1 +4+8+16,
512, 1 +16,
1024, 1 +2+4+8 +32+64,
2048, 1 +4,
4096, 1 +2 +8 +32+64+128,
8192, 1 +2 +8+16,
16384, 1 +8 +32 +128,
32768, 1 +4 +16+32,
65536, 1 +4+8 +32,
9, 2 +2*3,
27, 1 +2*3,
81, 2 +2*27,
81, 2 +2*27,
243, 1 +2*3,
729, 2 +2*3 +1*9 +2*81,
2187, 1 +2*9,
6561, 2 +2*3 +2*9 +1*81 +2*243,
19683, 1 +1*3 +2*9 +2*27,
59049, 2 +1*3 +2*81 +2*243 +2*729,
729, 2 +2*3+1*9 +2*81,
2187, 1 +2*9,
6561, 2 +2*3+2*9 +1*81+2*243,
19683, 1 +1*3+2*9+2*27,
59049, 2 +1*3 +2*81+2*243+2*729,
25, 2 +4*5,
125, 3 +3*5,
625, 2 +4*5 +4*25,
625, 2 +4*5+4*25,
3125, 3 +4*5,
15625, 2 +1*25 +4*125 +1*625,
15625, 2 +1*25+4*125+1*625,
49, 3 +6*7,
343, 4 +6*49,
2401, 3 +4*7 +5*49,
343, 4 +6*49,
2401, 3 +4*7+5*49,
16807, 4 +1*7,
121, 2 + 7*11,
1331, 9 + 2*11,
14641, 2 +10*11 +8*121,
121, 2 +7*11,
1331, 9 +2*11,
14641, 2 +10*11+8*121,
169, 2 +12*13,
2197, 11 + 2*13,
28561, 2 +12*13 +3*169,
2197, 11 +2*13,
28561, 2 +12*13+3*169,
289, 3 +16*17,
4913, 14 + 1*17,
4913, 14 +1*17,
361, 2 +18*19,
6859, 17 + 4*19,
6859, 17 +4*19,
529, 5 +21*23,
12167, 18 + 2*23,
12167, 18 +2*23,
841, 2 +24*29,
24389, 27 + 2*29,
24389, 27 +2*29,
961, 3 +29*31,
29791, 28 + 1*31,
29791, 28 +1*31,
1369, 2 +33*37,
50653, 35 + 6*37,
1681, 6 + 38* 41,
1849, 3 + 42* 43,
2209, 5 + 45* 47,
2809, 2 + 49* 53,
3481, 2 + 58* 59,
3721, 2 + 60* 61,
4489, 2 + 63* 67,
5041, 7 + 69* 71,
5329, 5 + 70* 73,
6241, 3 + 78* 79,
6889, 2 + 82* 83,
7921, 3 + 82* 89,
9409, 5 + 96* 97,
10201, 2 + 97*101,
50653, 35 +6*37,
1681, 6 +38*41,
1849, 3 +42*43,
2209, 5 +45*47,
2809, 2 +49*53,
3481, 2 +58*59,
3721, 2 +60*61,
4489, 2 +63*67,
5041, 7 +69*71,
5329, 5 +70*73,
6241, 3 +78*79,
6889, 2 +82*83,
7921, 3 +82*89,
9409, 5 +96*97,
10201, 2 +97*101,
10609, 5 +102*103,
11449, 2 +103*107,
11881, 6 +108*109,
Expand Down