mruby-bigint/bigint.c: int.pow(n,m) to take bigint as exponential

This commit is contained in:
Yukihiro "Matz" Matsumoto
2023-03-30 16:51:57 +09:00
parent 62c52d5a28
commit d482eabfa2
3 changed files with 70 additions and 31 deletions
+1 -1
View File
@@ -199,7 +199,7 @@ mrb_value mrb_bint_mul_ii(mrb_state *mrb, mrb_int x, mrb_int y);
mrb_value mrb_bint_mod(mrb_state *mrb, mrb_value x, mrb_value y);
mrb_value mrb_bint_rem(mrb_state *mrb, mrb_value x, mrb_value y);
mrb_value mrb_bint_pow(mrb_state *mrb, mrb_value x, mrb_value y);
mrb_value mrb_bint_powm(mrb_state *mrb, mrb_value x, mrb_int y, mrb_value z);
mrb_value mrb_bint_powm(mrb_state *mrb, mrb_value x, mrb_value y, mrb_value z);
mrb_value mrb_bint_and(mrb_state *mrb, mrb_value x, mrb_value y);
mrb_value mrb_bint_or(mrb_state *mrb, mrb_value x, mrb_value y);
mrb_value mrb_bint_xor(mrb_state *mrb, mrb_value x, mrb_value y);
+62 -23
View File
@@ -942,7 +942,41 @@ mpz_pow(mrb_state *mrb, mpz_t *zz, mpz_t *x, mrb_int e)
}
static void
mpz_powm(mrb_state *mrb, mpz_t *zz, mpz_t *x, mrb_int ex, mpz_t *n)
mpz_powm(mrb_state *mrb, mpz_t *zz, mpz_t *x, mpz_t *ex, mpz_t *n)
{
mpz_t t, b;
if (uzero(ex)) {
mpz_set_int(mrb, zz, 1);
return;
}
if (ex->sn < 0) {
return;
}
mpz_init_set_int(mrb, &t, 1);
mpz_init_set(mrb, &b, x);
size_t len = digits(ex);
for (size_t i=0; i<len; i++) {
mp_limb e = ex->p[i];
for (size_t j=0; j<sizeof(mp_limb)*8; j++) {
if ((e & 1) == 1) {
mpz_mul(mrb, &t, &t, &b);
mpz_mod(mrb, &t, &t, n);
}
e >>= 1;
mpz_mul(mrb, &b, &b, &b);
mpz_mod(mrb, &b, &b, n);
}
}
mpz_move(mrb, zz, &t);
mpz_clear(mrb, &b);
}
static void
mpz_powm_i(mrb_state *mrb, mpz_t *zz, mpz_t *x, mrb_int ex, mpz_t *n)
{
mpz_t t, b;
@@ -1429,31 +1463,36 @@ mrb_bint_pow(mrb_state *mrb, mrb_value x, mrb_value y)
}
mrb_value
mrb_bint_powm(mrb_state *mrb, mrb_value x, mrb_int exp, mrb_value mod)
mrb_bint_powm(mrb_state *mrb, mrb_value x, mrb_value exp, mrb_value mod)
{
struct RBigint *b = RBIGINT(x);
switch (mrb_type(mod)) {
case MRB_TT_INTEGER:
{
mrb_int m = mrb_integer(mod);
if (m == 0) mrb_int_zerodiv(mrb);
struct RBigint *b2 = bint_new_int(mrb, m);
struct RBigint *b3 = bint_new(mrb);
mpz_powm(mrb, &b3->mp, &b->mp, exp, &b2->mp);
return bint_norm(mrb, b3);
}
case MRB_TT_BIGINT:
{
struct RBigint *b2 = RBIGINT(mod);
struct RBigint *b3 = bint_new(mrb);
if (uzero(&b2->mp)) mrb_int_zerodiv(mrb);
mpz_powm(mrb, &b3->mp, &b->mp, exp, &b2->mp);
return bint_norm(mrb, b3);
}
default:
mrb_raisef(mrb, E_TYPE_ERROR, "%v cannot be convert to integer", mod);
struct RBigint *b2, *b3;
if (mrb_bigint_p(mod)) {
b2 = RBIGINT(mod);
if (uzero(&b2->mp)) mrb_int_zerodiv(mrb);
}
return mrb_nil_value();
else {
mrb_int m = mrb_integer(mod);
if (m == 0) mrb_int_zerodiv(mrb);
b2 = bint_new_int(mrb, m);
}
b3 = bint_new(mrb);
if (mrb_bigint_p(exp)) {
struct RBigint *be = RBIGINT(exp);
if (be->mp.sn < 0) {
mrb_raise(mrb, E_ARGUMENT_ERROR, "int.pow(n,m): n must be positive");
}
mpz_powm(mrb, &b3->mp, &b->mp, &be->mp, &b2->mp);
}
else {
mrb_int e = mrb_integer(exp);
if (e < 0) {
mrb_raise(mrb, E_ARGUMENT_ERROR, "int.pow(n,m): n must be positive");
}
mpz_powm_i(mrb, &b3->mp, &b->mp, e, &b2->mp);
}
return bint_norm(mrb, b3);
}
mrb_value
+7 -7
View File
@@ -73,16 +73,16 @@ int_powm(mrb_state *mrb, mrb_value x)
) {
mrb_raise(mrb, E_TYPE_ERROR, "int.pow(n,m): 2nd argument not allowed unless 1st argument is an integer");
}
exp = mrb_as_int(mrb, e);
if (exp < 0) mrb_raise(mrb, E_ARGUMENT_ERROR, "int.pow(n,m): n must be positive");
#ifdef MRB_USE_BIGINT
if (mrb_bigint_p(x)) {
return mrb_bint_powm(mrb, x, exp, m);
return mrb_bint_powm(mrb, x, e, m);
}
if (mrb_bigint_p(m)) {
return mrb_bint_powm(mrb, mrb_bint_new_int(mrb, mrb_integer(x)), exp, m);
if (mrb_bigint_p(e) || mrb_bigint_p(m)) {
return mrb_bint_powm(mrb, mrb_bint_new_int(mrb, mrb_integer(x)), e, m);
}
#endif
exp = mrb_integer(e);
if (exp < 0) mrb_raise(mrb, E_ARGUMENT_ERROR, "int.pow(n,m): n must be positive");
if (!mrb_integer_p(m)) mrb_raise(mrb, E_TYPE_ERROR, "int.pow(n,m): m must be integer");
mod = mrb_integer(m);
if (mod < 0) mrb_raise(mrb, E_ARGUMENT_ERROR, "int.pow(n,m): m must be positive when 2nd argument specified");
@@ -96,7 +96,7 @@ int_powm(mrb_state *mrb, mrb_value x)
result %= mod; base %= mod;
if (mrb_int_mul_overflow(result, base, &tmp)) {
#ifdef MRB_USE_BIGINT
return mrb_bint_powm(mrb, mrb_bint_new_int(mrb, mrb_integer(x)), mrb_integer(e), m);
return mrb_bint_powm(mrb, mrb_bint_new_int(mrb, mrb_integer(x)), e, m);
#else
mrb_int_overflow(mrb, "pow");
#endif
@@ -110,7 +110,7 @@ int_powm(mrb_state *mrb, mrb_value x)
base %= mod;
if (mrb_int_mul_overflow(base, base, &tmp)) {
#ifdef MRB_USE_BIGINT
return mrb_bint_powm(mrb, mrb_bint_new_int(mrb, mrb_integer(x)), mrb_integer(e), m);
return mrb_bint_powm(mrb, mrb_bint_new_int(mrb, mrb_integer(x)), e, m);
#else
mrb_int_overflow(mrb, "pow");
#endif