68 lines
2.8 KiB
Python
68 lines
2.8 KiB
Python
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#!/usr/bin/env sage
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proof.all(False) # faster
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from sage.misc.banner import require_version
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if not require_version(9, 8, print_message=True):
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exit('')
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################################################################
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from parameters import p, B, f, Tpls, Tmin, Dcom, Dchall
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################################################################
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Lpls = sorted(set(Tpls.prime_factors()) - {2})
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Epls = [Tpls.valuation(l) for l in Lpls]
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Lmin = sorted(set(Tmin.prime_factors()) - {2})
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Emin = [Tmin.valuation(l) for l in Lmin]
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tors2part = (p+1).p_primary_part(2)
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tors3part = (p+1).p_primary_part(3)
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tors23part = tors2part * tors3part
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defs = {
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'TORSION_2POWER_BYTES': (int(tors2part).bit_length() + 7) // 8,
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'TORSION_3POWER_BYTES': (int(tors3part).bit_length() + 7) // 8,
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'TORSION_23POWER_BYTES': (int(tors23part).bit_length() + 7) // 8,
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}
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from cformat import Ibz, Object, ObjectFormatter
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objs = ObjectFormatter([
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Object('uint64_t', 'TORSION_PLUS_EVEN_POWER', int(f)),
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Object('uint64_t[]', 'TORSION_ODD_PRIMES', Lpls + Lmin),
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Object('uint64_t[]', 'TORSION_ODD_POWERS', Epls + Emin),
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Object('uint64_t[]', 'TORSION_PLUS_ODD_PRIMES', Lpls), # TODO deduplicate?
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Object('size_t[]', 'TORSION_PLUS_ODD_POWERS', Epls), # TODO deduplicate?
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Object('uint64_t[]', 'TORSION_MINUS_ODD_PRIMES', Lmin), # TODO deduplicate?
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Object('size_t[]', 'TORSION_MINUS_ODD_POWERS', Emin), # TODO deduplicate?
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Object('size_t[]', 'DEGREE_COMMITMENT_POWERS', [Dcom.valuation(l) for l in Lpls+Lmin]), #FIXME should be ec_degree_odd_t
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Object('ibz_t', 'CHARACTERISTIC', Ibz(p)),
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Object('ibz_t', 'TORSION_ODD', Ibz(Tpls * Tmin)),
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Object('ibz_t[]', 'TORSION_ODD_PRIMEPOWERS', [Ibz(l^e) for Tpm in (Tpls,Tmin) for l,e in Tpm.factor()]),
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Object('ibz_t', 'TORSION_ODD_PLUS', Ibz(Tpls)),
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Object('ibz_t', 'TORSION_ODD_MINUS', Ibz(Tmin)),
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Object('ibz_t', 'TORSION_PLUS_2POWER', Ibz(tors2part)),
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Object('ibz_t', 'TORSION_PLUS_3POWER', Ibz(tors3part)),
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Object('ibz_t', 'TORSION_PLUS_23POWER', Ibz(tors23part)),
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Object('ibz_t', 'DEGREE_COMMITMENT', Ibz(Dcom)),
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Object('ibz_t', 'DEGREE_COMMITMENT_PLUS', Ibz(gcd(Dcom, Tpls))),
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Object('ibz_t', 'DEGREE_COMMITMENT_MINUS', Ibz(gcd(Dcom, Tmin))),
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Object('ibz_t', 'DEGREE_CHALLENGE', Ibz(Dchall)),
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])
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with open('include/torsion_constants.h','w') as hfile:
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with open('torsion_constants.c','w') as cfile:
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print(f'#include <intbig.h>', file=hfile)
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print(f'#include <stddef.h>', file=cfile)
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print(f'#include <stdint.h>', file=cfile)
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print(f'#include <torsion_constants.h>', file=cfile)
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for k,v in defs.items():
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print(f'#define {k} {v}', file=hfile)
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objs.header(file=hfile)
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objs.implementation(file=cfile)
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