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|
| | use super::big; |
| | use super::big::{Big, MODBYTES}; |
| | use crate::arch; |
| | use crate::arch::Chunk; |
| |
|
| | #[derive(Clone)] |
| | pub struct DBig { |
| | pub w: [Chunk; big::DNLEN], |
| | } |
| |
|
| | impl DBig { |
| |
|
| | |
| | #[inline(always)] |
| | pub fn new() -> DBig { |
| | DBig { |
| | w: [0; big::DNLEN as usize], |
| | } |
| | } |
| |
|
| | |
| | |
| | |
| | |
| | #[inline(always)] |
| | pub fn new_scopy(x: &Big) -> DBig { |
| | let mut b = DBig::new(); |
| | for i in 0..big::NLEN { |
| | b.w[i] = x.w[i]; |
| | } |
| | b.w[big::NLEN - 1] = x.get(big::NLEN - 1) & big::BMASK; |
| | b.w[big::NLEN] = x.get(big::NLEN - 1) >> big::BASEBITS; |
| |
|
| | for i in big::NLEN + 1..big::DNLEN { |
| | b.w[i] = 0 |
| | } |
| | b |
| | } |
| |
|
| | |
| | |
| | |
| | #[inline(always)] |
| | pub fn split(&mut self, n: usize) -> Big { |
| | let mut t = Big::new(); |
| | let m = n % big::BASEBITS; |
| | let mut carry = self.w[big::DNLEN - 1] << (big::BASEBITS - m); |
| |
|
| | for i in (big::NLEN - 1..big::DNLEN - 1).rev() { |
| | let nw = (self.w[i] >> m) | carry; |
| | carry = (self.w[i] << (big::BASEBITS - m)) & big::BMASK; |
| | t.set(i + 1 - big::NLEN, nw); |
| | } |
| | self.w[big::NLEN - 1] &= ((1 as Chunk) << m) - 1; |
| | t |
| | } |
| |
|
| | |
| | pub fn shl(&mut self, k: usize) { |
| | let n = k % big::BASEBITS; |
| | let m = k / big::BASEBITS; |
| | self.w[big::DNLEN - 1] = |
| | (self.w[big::DNLEN - 1 - m] << n) | (self.w[big::DNLEN - m - 2] >> (big::BASEBITS - n)); |
| | for i in (m + 1..big::DNLEN - 1).rev() { |
| | self.w[i] = |
| | ((self.w[i - m] << n) & big::BMASK) | (self.w[i - m - 1] >> (big::BASEBITS - n)); |
| | } |
| |
|
| | self.w[m] = (self.w[0] << n) & big::BMASK; |
| | for i in 0..m { |
| | self.w[i] = 0 |
| | } |
| | } |
| |
|
| | |
| | pub fn shr(&mut self, k: usize) { |
| | let n = k % big::BASEBITS; |
| | let m = k / big::BASEBITS; |
| | for i in 0..big::DNLEN - m - 1 { |
| | self.w[i] = |
| | (self.w[m + i] >> n) | ((self.w[m + i + 1] << (big::BASEBITS - n)) & big::BMASK); |
| | } |
| | self.w[big::DNLEN - m - 1] = self.w[big::DNLEN - 1] >> n; |
| | for i in big::DNLEN - m..big::DNLEN { |
| | self.w[i] = 0 |
| | } |
| | } |
| |
|
| | |
| | pub fn ucopy(&mut self, x: &Big) { |
| | for i in 0..big::NLEN { |
| | self.w[i] = 0; |
| | } |
| | for i in big::NLEN..big::DNLEN { |
| | self.w[i] = x.w[i - big::NLEN]; |
| | } |
| | } |
| |
|
| | pub fn cmove(&mut self, g: &DBig, d: isize) { |
| | let b = -d as Chunk; |
| | for i in 0..big::DNLEN { |
| | self.w[i] ^= (self.w[i] ^ g.w[i]) & b; |
| | } |
| | } |
| |
|
| | |
| | pub fn add(&mut self, x: &DBig) { |
| | for i in 0..big::DNLEN { |
| | self.w[i] += x.w[i]; |
| | } |
| | } |
| |
|
| | |
| | pub fn sub(&mut self, x: &DBig) { |
| | for i in 0..big::DNLEN { |
| | self.w[i] -= x.w[i]; |
| | } |
| | } |
| |
|
| | |
| | pub fn rsub(&mut self, x: &DBig) { |
| | for i in 0..big::DNLEN { |
| | self.w[i] = x.w[i] - self.w[i]; |
| | } |
| | } |
| |
|
| | |
| | pub fn comp(a: &DBig, b: &DBig) -> isize { |
| | for i in (0..big::DNLEN).rev() { |
| | if a.w[i] == b.w[i] { |
| | continue; |
| | } |
| | if a.w[i] > b.w[i] { |
| | return 1; |
| | } else { |
| | return -1; |
| | } |
| | } |
| | 0 |
| | } |
| |
|
| | |
| | pub fn norm(&mut self) { |
| | let mut carry = 0 as Chunk; |
| | for i in 0..big::DNLEN - 1 { |
| | let d = self.w[i] + carry; |
| | self.w[i] = d & big::BMASK; |
| | carry = d >> big::BASEBITS; |
| | } |
| | self.w[big::DNLEN - 1] += carry |
| | } |
| |
|
| | |
| | #[inline(always)] |
| | pub fn dmod(&mut self, c: &Big) -> Big { |
| | let mut k = 0; |
| | self.norm(); |
| | let mut m = DBig::new_scopy(c); |
| |
|
| | if DBig::comp(self, &m) < 0 { |
| | return Big::new_dcopy(self); |
| | } |
| |
|
| | loop { |
| | m.shl(1); |
| | k += 1; |
| | if DBig::comp(self, &m) < 0 { |
| | break; |
| | } |
| | } |
| |
|
| | while k > 0 { |
| | m.shr(1); |
| |
|
| | let mut dr = self.clone(); |
| | dr.sub(&m); |
| | dr.norm(); |
| | self.cmove( |
| | &dr, |
| | (1 - ((dr.w[big::DNLEN - 1] >> (arch::CHUNK - 1)) & 1)) as isize, |
| | ); |
| |
|
| | k -= 1; |
| | } |
| | Big::new_dcopy(self) |
| | } |
| |
|
| | |
| | #[inline(always)] |
| | pub fn div(&mut self, c: &Big) -> Big { |
| | let mut k = 0; |
| | let mut m = DBig::new_scopy(c); |
| | let mut a = Big::new(); |
| | let mut e = Big::new_int(1); |
| | self.norm(); |
| |
|
| | while DBig::comp(self, &m) >= 0 { |
| | e.fshl(1); |
| | m.shl(1); |
| | k += 1; |
| | } |
| |
|
| | while k > 0 { |
| | m.shr(1); |
| | e.shr(1); |
| |
|
| | let mut dr = self.clone(); |
| | dr.sub(&m); |
| | dr.norm(); |
| | let d = (1 - ((dr.w[big::DNLEN - 1] >> (arch::CHUNK - 1)) & 1)) as isize; |
| | self.cmove(&dr, d); |
| | let mut r = a.clone(); |
| | r.add(&e); |
| | r.norm(); |
| | a.cmove(&r, d); |
| |
|
| | k -= 1; |
| | } |
| | a |
| | } |
| |
|
| | |
| | pub fn mod2m(&mut self, m: usize) { |
| | let wd = m / big::BASEBITS; |
| | let bt = m % big::BASEBITS; |
| | let msk = (1 << bt) - 1; |
| | self.w[wd] &= msk; |
| | for i in wd + 1..big::DNLEN { |
| | self.w[i] = 0 |
| | } |
| | } |
| |
|
| | |
| | pub fn nbits(&self) -> usize { |
| | let mut k = big::DNLEN - 1; |
| | let mut s = self.clone(); |
| | s.norm(); |
| | while (k as isize) >= 0 && s.w[k] == 0 { |
| | k = k.wrapping_sub(1) |
| | } |
| | if (k as isize) < 0 { |
| | return 0; |
| | } |
| | let mut bts = (big::BASEBITS as usize) * k; |
| | let mut c = s.w[k]; |
| | while c != 0 { |
| | c /= 2; |
| | bts += 1; |
| | } |
| | bts |
| | } |
| |
|
| | |
| | pub fn to_string(&self) -> String { |
| | let mut s = String::new(); |
| | let mut len = self.nbits(); |
| |
|
| | if len % 4 == 0 { |
| | len /= 4; |
| | } else { |
| | len /= 4; |
| | len += 1; |
| | } |
| |
|
| | for i in (0..len).rev() { |
| | let mut b = self.clone(); |
| | b.shr(i * 4); |
| | s = s + &format!("{:X}", b.w[0] & 15); |
| | } |
| | s |
| | } |
| |
|
| | |
| | #[inline(always)] |
| | pub fn from_bytes(b: &[u8]) -> DBig { |
| | let mut m = DBig::new(); |
| |
|
| | |
| | let max_dbig = 2 * MODBYTES; |
| | let len = if b.len() >= max_dbig { |
| | max_dbig as usize |
| | } else { |
| | b.len() |
| | }; |
| |
|
| | for i in 0..len { |
| | m.shl(8); |
| | m.w[0] += (b[i] & 0xff) as Chunk; |
| | } |
| | m |
| | } |
| | } |
| |
|