39 lines
1.0 KiB
Python
39 lines
1.0 KiB
Python
|
#!/usr/bin/env sage
|
||
|
|
proof.all(False) # faster
|
||
|
|
|
||
|
|
################################################################
|
||
|
|
|
||
|
|
from parameters import p, f
|
||
|
|
|
||
|
|
if p % 4 != 3:
|
||
|
|
raise NotImplementedError('requires p ≡ 3 (mod 4)')
|
||
|
|
|
||
|
|
assert (1 << f).divides(p + 1)
|
||
|
|
Fp2.<i> = GF((p,2), modulus=[1,0,1])
|
||
|
|
E0 = EllipticCurve(Fp2, [1, 0])
|
||
|
|
|
||
|
|
from torsion_basis import even_torsion_basis_E0
|
||
|
|
P, Q = even_torsion_basis_E0(E0, f)
|
||
|
|
|
||
|
|
################################################################
|
||
|
|
|
||
|
|
from cformat import FpEl, Object, ObjectFormatter
|
||
|
|
|
||
|
|
def Fp2_to_list(el):
|
||
|
|
return [FpEl(int(c), p, True) for c in Fp2(el)]
|
||
|
|
|
||
|
|
objs = ObjectFormatter([
|
||
|
|
Object('fp2_t', 'BASIS_E0_PX', Fp2_to_list(P.x())),
|
||
|
|
Object('fp2_t', 'BASIS_E0_QX', Fp2_to_list(Q.x())),
|
||
|
|
])
|
||
|
|
|
||
|
|
################################################################
|
||
|
|
|
||
|
|
with open('include/e0_basis.h','w') as hfile:
|
||
|
|
with open('e0_basis.c','w') as cfile:
|
||
|
|
print(f'#include <fp2.h>', file=hfile)
|
||
|
|
print(f'#include <e0_basis.h>', file=cfile)
|
||
|
|
|
||
|
|
objs.header(file=hfile)
|
||
|
|
objs.implementation(file=cfile)
|