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-rw-r--r--src/bn/mod.rs569
1 files changed, 569 insertions, 0 deletions
diff --git a/src/bn/mod.rs b/src/bn/mod.rs
new file mode 100644
index 00000000..ac4fff7b
--- /dev/null
+++ b/src/bn/mod.rs
@@ -0,0 +1,569 @@
+
+use libc::{c_void, c_int, c_ulong};
+use std::ptr;
+
+use ssl::error::SslError;
+
+#[allow(dead_code)]
+struct BIGNUM {
+ d: *mut c_void,
+ top: c_int,
+ dmax: c_int,
+ neg: c_int,
+ flags: c_int,
+}
+
+#[allow(non_camel_case_types)]
+type BN_CTX = *mut c_void;
+
+#[link(name = "crypto")]
+extern {
+ fn BN_new() -> *mut BIGNUM;
+ fn BN_clear_free(bn: *mut BIGNUM);
+
+ fn BN_CTX_new() -> *mut BN_CTX;
+ fn BN_CTX_free(ctx: *mut BN_CTX);
+
+ fn BN_set_word(bn: *mut BIGNUM, n: c_ulong) -> c_int;
+ fn BN_set_negative(bn: *mut BIGNUM, n: c_int);
+ fn BN_num_bits(bn: *mut BIGNUM) -> c_int;
+
+ /* Arithmetic operations on BIGNUMs */
+ fn BN_add(r: *mut BIGNUM, a: *mut BIGNUM, b: *mut BIGNUM) -> c_int;
+ fn BN_sub(r: *mut BIGNUM, a: *mut BIGNUM, b: *mut BIGNUM) -> c_int;
+ fn BN_mul(r: *mut BIGNUM, a: *mut BIGNUM, b: *mut BIGNUM, ctx: *mut BN_CTX) -> c_int;
+ fn BN_sqr(r: *mut BIGNUM, a: *mut BIGNUM, ctx: *mut BN_CTX) -> c_int;
+ fn BN_div(dv: *mut BIGNUM, rem: *mut BIGNUM, a: *mut BIGNUM, b: *mut BIGNUM, ctx: *mut BN_CTX) -> c_int;
+ fn BN_mod(rem: *mut BIGNUM, a: *mut BIGNUM, m: *mut BIGNUM, ctx: *mut BN_CTX) -> c_int;
+ fn BN_nnmod(rem: *mut BIGNUM, a: *mut BIGNUM, m: *mut BIGNUM, ctx: *mut BN_CTX) -> c_int;
+ fn BN_mod_add(r: *mut BIGNUM, a: *mut BIGNUM, b: *mut BIGNUM, m: *mut BIGNUM, ctx: *mut BN_CTX) -> c_int;
+ fn BN_mod_sub(r: *mut BIGNUM, a: *mut BIGNUM, b: *mut BIGNUM, m: *mut BIGNUM, ctx: *mut BN_CTX) -> c_int;
+ fn BN_mod_mul(r: *mut BIGNUM, a: *mut BIGNUM, b: *mut BIGNUM, m: *mut BIGNUM, ctx: *mut BN_CTX) -> c_int;
+ fn BN_mod_sqr(r: *mut BIGNUM, a: *mut BIGNUM, m: *mut BIGNUM, ctx: *mut BN_CTX) -> c_int;
+ fn BN_exp(r: *mut BIGNUM, a: *mut BIGNUM, p: *mut BIGNUM, ctx: *mut BN_CTX) -> c_int;
+ fn BN_mod_exp(r: *mut BIGNUM, a: *mut BIGNUM, p: *mut BIGNUM, m: *mut BIGNUM, ctx: *mut BN_CTX) -> c_int;
+ fn BN_mod_inverse(r: *mut BIGNUM, a: *mut BIGNUM, n: *mut BIGNUM, ctx: *mut BN_CTX) -> c_int;
+ fn BN_gcd(r: *mut BIGNUM, a: *mut BIGNUM, b: *mut BIGNUM, ctx: *mut BN_CTX) -> c_int;
+
+ /* Bit operations on BIGNUMs */
+ fn BN_set_bit(a: *mut BIGNUM, n: c_int) -> c_int;
+ fn BN_clear_bit(a: *mut BIGNUM, n: c_int) -> c_int;
+ fn BN_is_bit_set(a: *mut BIGNUM, n: c_int) -> c_int;
+ fn BN_mask_bits(a: *mut BIGNUM, n: c_int) -> c_int;
+ fn BN_lshift(r: *mut BIGNUM, a: *mut BIGNUM, n: c_int) -> c_int;
+ fn BN_lshift1(r: *mut BIGNUM, a: *mut BIGNUM) -> c_int;
+ fn BN_rshift(r: *mut BIGNUM, a: *mut BIGNUM, n: c_int) -> c_int;
+ fn BN_rshift1(r: *mut BIGNUM, a: *mut BIGNUM) -> c_int;
+
+ /* Comparisons on BIGNUMs */
+ fn BN_cmp(a: *mut BIGNUM, b: *mut BIGNUM) -> c_int;
+ fn BN_ucmp(a: *mut BIGNUM, b: *mut BIGNUM) -> c_int;
+
+ /* Prime handling */
+ fn BN_generate_prime_ex(r: *mut BIGNUM, bits: c_int, safe: c_int, add: *mut BIGNUM, rem: *mut BIGNUM, cb: *const c_void) -> c_int;
+ fn BN_is_prime_ex(p: *mut BIGNUM, checks: c_int, ctx: *mut BN_CTX, cb: *const c_void) -> c_int;
+ fn BN_is_prime_fasttest_ex(p: *mut BIGNUM, checks: c_int, ctx: *mut BN_CTX, do_trial_division: c_int, cb: *const c_void) -> c_int;
+
+ /* Random number handling */
+ fn BN_rand(r: *mut BIGNUM, bits: c_int, top: c_int, bottom: c_int) -> c_int;
+ fn BN_pseudo_rand(r: *mut BIGNUM, bits: c_int, top: c_int, bottom: c_int) -> c_int;
+ fn BN_rand_range(r: *mut BIGNUM, range: *mut BIGNUM) -> c_int;
+ fn BN_pseudo_rand_range(r: *mut BIGNUM, range: *mut BIGNUM) -> c_int;
+
+ /* Conversion from/to binary representation */
+ fn BN_bn2bin(a: *mut BIGNUM, to: *mut u8) -> c_int;
+ fn BN_bin2bn(s: *const u8, size: c_int, ret: *mut BIGNUM) -> *mut BIGNUM;
+}
+
+pub struct BigNum(*mut BIGNUM);
+
+#[repr(C)]
+pub enum RNGProperty {
+ MsbMaybeZero = -1,
+ MsbOne = 0,
+ TwoMsbOne = 1,
+}
+
+macro_rules! with_ctx(
+ ($name:ident, $action:block) => ({
+ let $name = BN_CTX_new();
+ if ($name).is_null() {
+ Err(SslError::get())
+ } else {
+ let r = $action;
+ BN_CTX_free($name);
+ r
+ }
+ });
+)
+
+macro_rules! with_bn(
+ ($name:ident, $action:block) => ({
+ let tmp = BigNum::new();
+ match tmp {
+ Ok($name) => {
+ if $action {
+ Ok($name)
+ } else {
+ Err(SslError::get())
+ }
+ },
+ Err(err) => Err(err),
+ }
+ });
+)
+
+macro_rules! with_bn_in_ctx(
+ ($name:ident, $ctx_name:ident, $action:block) => ({
+ let tmp = BigNum::new();
+ match tmp {
+ Ok($name) => {
+ let $ctx_name = BN_CTX_new();
+ if ($ctx_name).is_null() {
+ Err(SslError::get())
+ } else {
+ let r =
+ if $action {
+ Ok($name)
+ } else {
+ Err(SslError::get())
+ };
+ BN_CTX_free($ctx_name);
+ r
+ }
+ },
+ Err(err) => Err(err),
+ }
+ });
+)
+
+impl BigNum {
+ pub fn new() -> Result<BigNum, SslError> {
+ unsafe {
+ let v = BN_new();
+ if v.is_null() {
+ Err(SslError::get())
+ } else {
+ Ok(BigNum(v))
+ }
+ }
+ }
+
+ pub fn new_from(n: u64) -> Result<BigNum, SslError> {
+ unsafe {
+ let bn = BN_new();
+ if bn.is_null() || BN_set_word(bn, n as c_ulong) == 0 {
+ Err(SslError::get())
+ } else {
+ Ok(BigNum(bn))
+ }
+ }
+ }
+
+ pub fn new_from_slice(n: &[u8]) -> Result<BigNum, SslError> {
+ unsafe {
+ let bn = BN_new();
+ if bn.is_null() || BN_bin2bn(n.as_ptr(), n.len() as c_int, bn).is_null() {
+ Err(SslError::get())
+ } else {
+ Ok(BigNum(bn))
+ }
+ }
+ }
+
+ pub fn checked_sqr(&self) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_sqr(r.raw(), self.raw(), ctx) == 1 })
+ }
+ }
+
+ pub fn checked_nnmod(&self, n: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_nnmod(r.raw(), self.raw(), n.raw(), ctx) == 1 })
+ }
+ }
+
+ pub fn checked_mod_add(&self, a: &BigNum, n: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_mod_add(r.raw(), self.raw(), a.raw(), n.raw(), ctx) == 1 })
+ }
+ }
+
+ pub fn checked_mod_sub(&self, a: &BigNum, n: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_mod_sub(r.raw(), self.raw(), a.raw(), n.raw(), ctx) == 1 })
+ }
+ }
+
+ pub fn checked_mod_mul(&self, a: &BigNum, n: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_mod_mul(r.raw(), self.raw(), a.raw(), n.raw(), ctx) == 1 })
+ }
+ }
+
+ pub fn checked_mod_sqr(&self, n: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_mod_sqr(r.raw(), self.raw(), n.raw(), ctx) == 1 })
+ }
+ }
+
+ pub fn checked_exp(&self, p: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_exp(r.raw(), self.raw(), p.raw(), ctx) == 1 })
+ }
+ }
+
+ pub fn checked_mod_exp(&self, p: &BigNum, n: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_mod_exp(r.raw(), self.raw(), p.raw(), n.raw(), ctx) == 1 })
+ }
+ }
+
+ pub fn checked_mod_inv(&self, n: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_mod_inverse(r.raw(), self.raw(), n.raw(), ctx) == 1 })
+ }
+ }
+
+ pub fn checked_gcd(&self, a: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_gcd(r.raw(), self.raw(), a.raw(), ctx) == 1 })
+ }
+ }
+
+ pub fn checked_generate_prime(bits: i32, safe: bool, add: Option<&BigNum>, rem: Option<&BigNum>) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, {
+ let add_arg = add.map(|a| a.raw()).unwrap_or(ptr::mut_null());
+ let rem_arg = rem.map(|r| r.raw()).unwrap_or(ptr::mut_null());
+
+ BN_generate_prime_ex(r.raw(), bits as c_int, safe as c_int, add_arg, rem_arg, ptr::null()) == 1
+ })
+ }
+ }
+
+ pub fn is_prime(&self, checks: i32) -> Result<bool, SslError> {
+ unsafe {
+ with_ctx!(ctx, {
+ Ok(BN_is_prime_ex(self.raw(), checks as c_int, ctx, ptr::null()) == 1)
+ })
+ }
+ }
+
+ pub fn is_prime_fast(&self, checks: i32, do_trial_division: bool) -> Result<bool, SslError> {
+ unsafe {
+ with_ctx!(ctx, {
+ Ok(BN_is_prime_fasttest_ex(self.raw(), checks as c_int, ctx, do_trial_division as c_int, ptr::null()) == 1)
+ })
+ }
+ }
+
+ pub fn checked_new_random(bits: i32, prop: RNGProperty, odd: bool) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_rand(r.raw(), bits as c_int, prop as c_int, odd as c_int) == 1 })
+ }
+ }
+
+ pub fn checked_new_pseudo_random(bits: i32, prop: RNGProperty, odd: bool) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_pseudo_rand(r.raw(), bits as c_int, prop as c_int, odd as c_int) == 1 })
+ }
+ }
+
+ pub fn checked_rand_in_range(&self) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_rand_range(r.raw(), self.raw()) == 1 })
+ }
+ }
+
+ pub fn checked_pseudo_rand_in_range(&self) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_pseudo_rand_range(r.raw(), self.raw()) == 1 })
+ }
+ }
+
+ pub fn set_bit(&mut self, n: i32) -> Result<(), SslError> {
+ unsafe {
+ if BN_set_bit(self.raw(), n as c_int) == 1 {
+ Ok(())
+ } else {
+ Err(SslError::get())
+ }
+ }
+ }
+
+ pub fn clear_bit(&mut self, n: i32) -> Result<(), SslError> {
+ unsafe {
+ if BN_clear_bit(self.raw(), n as c_int) == 1 {
+ Ok(())
+ } else {
+ Err(SslError::get())
+ }
+ }
+ }
+
+ pub fn is_bit_set(&self, n: i32) -> bool {
+ unsafe {
+ BN_is_bit_set(self.raw(), n as c_int) == 1
+ }
+ }
+
+ pub fn mask_bits(&mut self, n: i32) -> Result<(), SslError> {
+ unsafe {
+ if BN_mask_bits(self.raw(), n as c_int) == 1 {
+ Ok(())
+ } else {
+ Err(SslError::get())
+ }
+ }
+ }
+
+ pub fn checked_shl1(&self) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn!(r, { BN_lshift1(r.raw(), self.raw()) == 1 })
+ }
+ }
+
+ pub fn checked_shr1(&self) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn!(r, { BN_rshift1(r.raw(), self.raw()) == 1 })
+ }
+ }
+
+ pub fn checked_add(&self, a: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn!(r, { BN_add(r.raw(), self.raw(), a.raw()) == 1 })
+ }
+ }
+
+ pub fn checked_sub(&self, a: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn!(r, { BN_sub(r.raw(), self.raw(), a.raw()) == 1 })
+ }
+ }
+
+ pub fn checked_mul(&self, a: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_mul(r.raw(), self.raw(), a.raw(), ctx) == 1 })
+ }
+ }
+
+ pub fn checked_div(&self, a: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_div(r.raw(), ptr::mut_null(), self.raw(), a.raw(), ctx) == 1 })
+ }
+ }
+
+ pub fn checked_mod(&self, a: &BigNum) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn_in_ctx!(r, ctx, { BN_mod(r.raw(), self.raw(), a.raw(), ctx) == 1 })
+ }
+ }
+
+ pub fn checked_shl(&self, a: &i32) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn!(r, { BN_lshift(r.raw(), self.raw(), *a as c_int) == 1 })
+ }
+ }
+
+ pub fn checked_shr(&self, a: &i32) -> Result<BigNum, SslError> {
+ unsafe {
+ with_bn!(r, { BN_rshift(r.raw(), self.raw(), *a as c_int) == 1 })
+ }
+ }
+
+ pub fn negate(&mut self) {
+ unsafe {
+ BN_set_negative(self.raw(), !self.is_negative() as c_int)
+ }
+ }
+
+ pub fn abs_cmp(&self, oth: BigNum) -> Ordering {
+ unsafe {
+ let res = BN_ucmp(self.raw(), oth.raw()) as i32;
+ if res < 0 {
+ Less
+ } else if res > 0 {
+ Greater
+ } else {
+ Equal
+ }
+ }
+ }
+
+ pub fn is_negative(&self) -> bool {
+ unsafe {
+ (*self.raw()).neg == 1
+ }
+ }
+
+ pub fn num_bits(&self) -> i32 {
+ unsafe {
+ BN_num_bits(self.raw()) as i32
+ }
+ }
+
+ pub fn num_bytes(&self) -> i32 {
+ (self.num_bits() + 7) / 8
+ }
+
+ unsafe fn raw(&self) -> *mut BIGNUM {
+ let BigNum(n) = *self;
+ n
+ }
+
+ pub fn to_vec(&self) -> Vec<u8> {
+ let size = self.num_bytes() as uint;
+ let mut v = Vec::with_capacity(size);
+ unsafe {
+ BN_bn2bin(self.raw(), v.as_mut_ptr());
+ v.set_len(size);
+ }
+ v
+ }
+}
+
+impl Eq for BigNum { }
+impl PartialEq for BigNum {
+ fn eq(&self, oth: &BigNum) -> bool {
+ unsafe {
+ BN_cmp(self.raw(), oth.raw()) == 0
+ }
+ }
+}
+
+impl Ord for BigNum {
+ fn cmp(&self, oth: &BigNum) -> Ordering {
+ self.partial_cmp(oth).unwrap()
+ }
+}
+
+impl PartialOrd for BigNum {
+ fn partial_cmp(&self, oth: &BigNum) -> Option<Ordering> {
+ unsafe {
+ let v = BN_cmp(self.raw(), oth.raw());
+ let ret =
+ if v == 0 {
+ Equal
+ } else if v < 0 {
+ Less
+ } else {
+ Greater
+ };
+ Some(ret)
+ }
+ }
+}
+
+impl Drop for BigNum {
+ fn drop(&mut self) {
+ unsafe {
+ if !self.raw().is_null() {
+ BN_clear_free(self.raw());
+ }
+ }
+ }
+}
+
+pub mod unchecked {
+ use super::{BIGNUM, BigNum};
+
+ extern {
+ fn BN_dup(n: *mut BIGNUM) -> *mut BIGNUM;
+ }
+
+ impl Add<BigNum, BigNum> for BigNum {
+ fn add(&self, oth: &BigNum) -> BigNum {
+ self.checked_add(oth).unwrap()
+ }
+ }
+
+ impl Sub<BigNum, BigNum> for BigNum {
+ fn sub(&self, oth: &BigNum) -> BigNum {
+ self.checked_sub(oth).unwrap()
+ }
+ }
+
+ impl Mul<BigNum, BigNum> for BigNum {
+ fn mul(&self, oth: &BigNum) -> BigNum {
+ self.checked_mul(oth).unwrap()
+ }
+ }
+
+ impl Div<BigNum, BigNum> for BigNum {
+ fn div(&self, oth: &BigNum) -> BigNum {
+ self.checked_div(oth).unwrap()
+ }
+ }
+
+ impl Rem<BigNum, BigNum> for BigNum {
+ fn rem(&self, oth: &BigNum) -> BigNum {
+ self.checked_mod(oth).unwrap()
+ }
+ }
+
+ impl Shl<i32, BigNum> for BigNum {
+ fn shl(&self, n: &i32) -> BigNum {
+ self.checked_shl(n).unwrap()
+ }
+ }
+
+ impl Shr<i32, BigNum> for BigNum {
+ fn shr(&self, n: &i32) -> BigNum {
+ self.checked_shr(n).unwrap()
+ }
+ }
+
+ impl Clone for BigNum {
+ fn clone(&self) -> BigNum {
+ unsafe {
+ let r = BN_dup(self.raw());
+ if r.is_null() {
+ fail!("Unexpected null pointer from BN_dup(..)")
+ } else {
+ BigNum(r)
+ }
+ }
+ }
+ }
+
+ impl Neg<BigNum> for BigNum {
+ fn neg(&self) -> BigNum {
+ let mut n = self.clone();
+ n.negate();
+ n
+ }
+ }
+}
+
+#[cfg(test)]
+mod tests {
+ use bn::BigNum;
+
+ #[test]
+ fn test_to_from_slice() {
+ let v0 = BigNum::new_from(10203004_u64).unwrap();
+ let vec = v0.to_vec();
+ let v1 = BigNum::new_from_slice(vec.as_slice()).unwrap();
+
+ assert!(v0 == v1);
+ }
+
+ #[test]
+ fn test_negation() {
+ let a = BigNum::new_from(909829283_u64).unwrap();
+
+ assert!(!a.is_negative());
+ assert!((-a).is_negative());
+ }
+
+
+ #[test]
+ fn test_prime_numbers() {
+ let a = BigNum::new_from(19029017_u64).unwrap();
+ let p = BigNum::checked_generate_prime(128, true, None, Some(&a)).unwrap();
+
+ assert!(p.is_prime(100).unwrap());
+ assert!(p.is_prime_fast(100, true).unwrap());
+ }
+}