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sqisign_new/scripts/precomp/precompute_torsion_constants.sage

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#!/usr/bin/env sage
proof.all(False) # faster
################################################################
from parameters import p
################################################################
tors2part = (p+1).p_primary_part(2)
lambda_security = round(p.bit_length() / 128) * 64
N_sec = next_prime(1 << 4*lambda_security)
N_com = N_sec
defs = {
'TORSION_2POWER_BYTES': (tors2part.bit_length() + 7) // 8,
}
from cformat import Ibz, Object, ObjectFormatter
objs = ObjectFormatter([
Object('ibz_t', 'TWO_TO_SECURITY_BITS', Ibz(1 << lambda_security)), # lambda_security = SECURITY_BITS (128, 192, 256)
Object('ibz_t', 'TORSION_PLUS_2POWER', Ibz(tors2part)),
Object('ibz_t', 'SEC_DEGREE', Ibz(N_sec)),
Object('ibz_t', 'COM_DEGREE', Ibz(N_com)),
])
with open('include/torsion_constants.h','w') as hfile:
with open('torsion_constants.c','w') as cfile:
print(f'#include <quaternion.h>', file=hfile)
print(f'#include <stddef.h>', file=cfile)
print(f'#include <stdint.h>', file=cfile)
print(f'#include <torsion_constants.h>', file=cfile)
for k,v in defs.items():
print(f'#define {k} {v}', file=hfile)
objs.header(file=hfile)
objs.implementation(file=cfile)