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#include "gp.h"
void init_gp(void) /* void */
{
pari_sp ltop = avma;
avma = ltop;
return;
}
/*
* ecgen, tool for generating Elliptic curve domain parameters
* Copyright (C) 2017 J08nY
*/
/*
* ecgen, tool for generating Elliptic curve domain parameters
* Copyright (C) 2017 J08nY
*/
GEN random_primer(GEN range) /* int */
{
pari_sp ltop = avma;
GEN p = gen_0; /* int */
if (!is_matvec_t(typ(range))) pari_err_TYPE("random_primer", range);
{
pari_sp btop = avma;
do {
p = randomprime(range);
if (gc_needed(btop, 1)) p = gerepilecopy(btop, p);
} while (!isprime(p));
}
p = gerepilecopy(ltop, p);
return p;
}
/**
* Calculates a random prime of bit size bits.
*
* @param bits bit size of the requested prime
* @return random prime between 2^(bits - 1) and 2^bits
*/
GEN random_prime(long bits) /* int */
{
pari_sp ltop = avma;
GEN p1 = gen_0; /* vec */
GEN p2 = gen_0; /* int */
p1 = cgetg(3, t_VEC);
gel(p1, 1) = powis(gen_2, bits - 1);
gel(p1, 2) = powis(gen_2, bits);
p2 = random_primer(p1);
p2 = gerepilecopy(ltop, p2);
return p2;
}
GEN random_intr(GEN range) {
pari_sp ltop = avma;
GEN p1 = gen_0;
if (!is_matvec_t(typ(range))) pari_err_TYPE("random_intr", range);
p1 = genrand(range);
p1 = gerepilecopy(ltop, p1);
return p1;
}
/**
* Generates a random integer with bit size bits.
*
* @param bits bit size of the requested integer
* @return random int between 2^(bits - 1) and 2^bits
*/
GEN random_int(long bits) {
pari_sp ltop = avma;
GEN p1 = gen_0; /* vec */
GEN p2 = gen_0;
p1 = cgetg(3, t_VEC);
gel(p1, 1) = powis(gen_2, bits - 1);
gel(p1, 2) = powis(gen_2, bits);
p2 = random_intr(p1);
p2 = gerepilecopy(ltop, p2);
return p2;
}
/**
* Converts a list to a vector.
*
* @param l list to convert
* @return a vector of the lists values
*/
GEN list_to_vec(GEN l) /* vec */
{
pari_sp ltop = avma;
GEN v = gen_0; /* vec */
GEN n = gen_0; /* int */
GEN p1 = gen_0; /* vec */
n = stoi(glength(l));
{
long l2;
p1 = cgetg(itos(n) + 1, t_VEC);
for (l2 = 1; cmpsi(l2, n) <= 0; ++l2) gel(p1, l2) = gen_0;
}
v = p1;
{
pari_sp btop = avma;
GEN i = gen_0;
for (i = gen_1; gcmp(i, n) <= 0; i = gaddgs(i, 1)) {
gel(v, gtos(i)) = gcopy(gel(list_data(l), gtos(i)));
if (gc_needed(btop, 1)) gerepileall(btop, 2, &v, &i);
}
}
v = gerepilecopy(ltop, v);
return v;
}
/*
* ecgen, tool for generating Elliptic curve domain parameters
* Copyright (C) 2017 J08nY
*/
/**
* Computes primes upto some upper bound.
*
* @param bound an upper bound on primes
* @return a vector of primes up to bound^2
*/
GEN prime_upto(GEN bound) /* vec */
{
pari_sp ltop = avma;
GEN p = gen_0; /* list */
GEN product = gen_0, last = gen_0; /* int */
GEN result = gen_0; /* vec */
if (typ(bound) != t_INT) pari_err_TYPE("prime_upto", bound);
p = mklist();
bound = sqri(bound);
listput0(p, gen_2, 0);
product = gen_2;
last = gen_2;
{
pari_sp btop = avma;
while (cmpii(product, bound) < 0) {
last = nextprime(addis(last, 1));
listput0(p, last, 0);
product = mulii(product, last);
if (gc_needed(btop, 1)) gerepileall(btop, 3, &p, &product, &last);
}
}
result = list_to_vec(p);
listkill(p);
result = gerepilecopy(ltop, result);
return result;
}
/**
*
*/
GEN invalid(GEN coeffs, GEN field, GEN primes, GEN bits, long prec) /* vec */
{
pari_sp ltop = avma;
GEN bs = gen_0, cs = gen_0, eq = gen_0; /* vec */
GEN e = gen_0; /* ell */
GEN b = gen_0, n = gen_0, c = gen_0, o = gen_0; /* int */
GEN p1 = gen_0; /* vec */
if (!is_matvec_t(typ(coeffs))) pari_err_TYPE("invalid", coeffs);
if (typ(field) != t_POL) pari_err_TYPE("invalid", field);
if (!is_matvec_t(typ(primes))) pari_err_TYPE("invalid", primes);
if (typ(bits) != t_INT) pari_err_TYPE("invalid", bits);
n = stoi(lg(primes) - 1);
{
long l2;
p1 = cgetg(itos(n) + 1, t_VEC);
for (l2 = 1; cmpsi(l2, n) <= 0; ++l2) gel(p1, l2) = gen_0;
}
bs = p1;
eq = gcopy(coeffs);
c = gen_0;
{
pari_sp btop = avma;
while (cmpii(c, n) < 0) {
b = random_int(itos(bits));
gel(eq, 4) = icopy(b);
/* Times field? */
pari_CATCH(CATCH_ALL) {
GEN E = pari_err_last(); /* error */
continue;
}
pari_TRY { e = ellinit(eq, field, prec); }
pari_ENDCATCH o = ellsea(e, 0);
{
pari_sp btop = avma;
GEN i = gen_0;
for (i = gen_1; gcmp(i, n) <= 0; i = gaddgs(i, 1)) {
if (gequal0(gmod(o, gel(primes, gtos(i)))) &&
gequal0(gel(bs, gtos(i)))) {
gel(bs, gtos(i)) = icopy(b);
gel(cs, gtos(i)) = gcopy(e);
c = addis(c, 1);
}
if (gc_needed(btop, 1))
gerepileall(btop, 4, &bs, &cs, &c, &i);
}
}
if (gc_needed(btop, 1))
gerepileall(btop, 7, &bs, &cs, &eq, &e, &b, &c, &o);
}
}
cs = gerepilecopy(ltop, cs);
return cs;
}
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