use libc::{c_void, c_int, c_ulong, c_char}; use std::{fmt, ptr}; use std::c_str::CString; use std::num::{One, Zero}; use ssl::error::SslError; #[allow(dead_code)] #[repr(C)] 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_sub_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_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) -> *const BIGNUM; 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; fn BN_is_zero(a: *mut BIGNUM) -> c_int; fn BN_is_one(a: *mut BIGNUM) -> c_int; fn BN_is_word(a: *mut BIGNUM) -> c_int; fn BN_is_odd(a: *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; /* Conversion from/to string representation */ fn BN_bn2dec(a: *mut BIGNUM) -> *const c_char; fn CRYPTO_free(buf: *const c_char); } 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 { unsafe { let v = BN_new(); if v.is_null() { Err(SslError::get()) } else { Ok(BigNum(v)) } } } pub fn new_from(n: u64) -> Result { 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 { 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 { unsafe { with_bn_in_ctx!(r, ctx, { BN_sqr(r.raw(), self.raw(), ctx) == 1 }) } } pub fn checked_nnmod(&self, n: &BigNum) -> Result { 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 { 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 { 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 { 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 { 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 { 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 { 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 { unsafe { with_bn_in_ctx!(r, ctx, { !BN_mod_inverse(r.raw(), self.raw(), n.raw(), ctx).is_null() }) } } pub fn checked_gcd(&self, a: &BigNum) -> Result { 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 { 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 { 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 { 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 { 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 { 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 { unsafe { with_bn_in_ctx!(r, ctx, { BN_rand_range(r.raw(), self.raw()) == 1 }) } } pub fn checked_pseudo_rand_in_range(&self) -> Result { 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 { unsafe { with_bn!(r, { BN_lshift1(r.raw(), self.raw()) == 1 }) } } pub fn checked_shr1(&self) -> Result { unsafe { with_bn!(r, { BN_rshift1(r.raw(), self.raw()) == 1 }) } } pub fn checked_add(&self, a: &BigNum) -> Result { unsafe { with_bn!(r, { BN_add(r.raw(), self.raw(), a.raw()) == 1 }) } } pub fn checked_sub(&self, a: &BigNum) -> Result { unsafe { with_bn!(r, { BN_sub(r.raw(), self.raw(), a.raw()) == 1 }) } } pub fn checked_mul(&self, a: &BigNum) -> Result { 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 { 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 { unsafe { with_bn_in_ctx!(r, ctx, { BN_div(ptr::mut_null(), r.raw(), self.raw(), a.raw(), ctx) == 1 }) } } pub fn checked_shl(&self, a: &i32) -> Result { unsafe { with_bn!(r, { BN_lshift(r.raw(), self.raw(), *a as c_int) == 1 }) } } pub fn checked_shr(&self, a: &i32) -> Result { 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 { 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 } pub fn to_dec_str(&self) -> String { unsafe { let buf = BN_bn2dec(self.raw()); assert!(!buf.is_null()); let c_str = CString::new(buf, false); let str = c_str.as_str().unwrap().to_string(); CRYPTO_free(buf); str } } } impl fmt::Show for BigNum { fn fmt(&self, f: &mut fmt::Formatter) -> fmt::Result { write!(f, "{}", self.to_dec_str()) } } impl One for BigNum { fn one() -> BigNum { BigNum::new_from(1).unwrap() } } impl Zero for BigNum { fn zero() -> BigNum { BigNum::new_from(0).unwrap() } fn is_zero(&self) -> bool { unsafe { BN_is_zero(self.raw()) == 1 } } } 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 { 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 for BigNum { fn add(&self, oth: &BigNum) -> BigNum { self.checked_add(oth).unwrap() } } impl Sub for BigNum { fn sub(&self, oth: &BigNum) -> BigNum { self.checked_sub(oth).unwrap() } } impl Mul for BigNum { fn mul(&self, oth: &BigNum) -> BigNum { self.checked_mul(oth).unwrap() } } impl Div for BigNum { fn div(&self, oth: &BigNum) -> BigNum { self.checked_div(oth).unwrap() } } impl Rem for BigNum { fn rem(&self, oth: &BigNum) -> BigNum { self.checked_mod(oth).unwrap() } } impl Shl for BigNum { fn shl(&self, n: &i32) -> BigNum { self.checked_shl(n).unwrap() } } impl Shr 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 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()); } }