diff --git a/src/cryptonum/addition.rs b/src/cryptonum/addition.rs index 0b08015..b756006 100644 --- a/src/cryptonum/addition.rs +++ b/src/cryptonum/addition.rs @@ -5,7 +5,6 @@ use cryptonum::comparison::bignum_ge; use cryptonum::subtraction::raw_subtraction; use std::ops::{Add,AddAssign}; -#[inline(always)] pub fn raw_addition(x: &mut [u64], y: &[u64]) -> u64 { assert_eq!(x.len(), y.len()); @@ -164,4 +163,4 @@ macro_rules! generate_tests { } } -generate_tests!(U192, U256, U384, U512, U576, U1024, U2048, U3072, U4096, U8192, U15360); \ No newline at end of file +generate_tests!(U192, U256, U384, U512, U576, U1024, U2048, U3072, U4096, U8192, U15360); diff --git a/src/cryptonum/barrett.rs b/src/cryptonum/barrett.rs index 7db9c61..e43539b 100644 --- a/src/cryptonum/barrett.rs +++ b/src/cryptonum/barrett.rs @@ -4,7 +4,9 @@ use cryptonum::{U192, U256, U384, U512, U576, use cryptonum::addition::{ModAdd,raw_addition}; use cryptonum::comparison::{bignum_cmp,bignum_ge}; use cryptonum::division::divmod; -use cryptonum::multiplication::raw_multiplication; +use cryptonum::exponentiation::ModExp; +use cryptonum::multiplication::{ModMul,raw_multiplication}; +use cryptonum::squaring::{ModSquare,raw_square}; use cryptonum::subtraction::raw_subtraction; use std::cmp::{Ordering,min}; use std::fmt; @@ -63,9 +65,7 @@ macro_rules! generate_barrett_implementations { } pub fn reduce(&self, x: &mut $name) { - printvar("x", &x.values); - printvar("m", &self.m); - printvar("u", &self.mu); + assert!(self.reduce_ok(&x)); // 1. q1←⌊x/bk−1⌋, q2←q1 · μ, q3←⌊q2/bk+1⌋. let mut q1 = [0; $size/32]; shiftr(&x.values, self.k - 1, &mut q1); @@ -100,6 +100,15 @@ macro_rules! generate_barrett_implementations { *val = r[idx]; } } + + pub fn reduce_ok(&self, x: &$name) -> bool { + for i in self.k*2 .. x.values.len() { + if x.values[i] != 0 { + return false + } + } + true + } } impl ModAdd<$bname> for $name { @@ -122,15 +131,122 @@ macro_rules! generate_barrett_implementations { } } } - }; -} -fn printvar(name: &'static str, val: &[u64]) { - print!("{}: 0x", name); - for x in val.iter().rev() { - print!("{:016X}", *x); - } - println!(""); + impl ModMul<$bname> for $name { + fn modmul(&mut self, x: &$name, m: &$bname) { + let mut mulres = [0; $size/32]; + raw_multiplication(&self.values, &x.values, &mut mulres); + // 1. q1←⌊x/bk−1⌋, q2←q1 · μ, q3←⌊q2/bk+1⌋. + let mut q1 = [0; $size/32]; + shiftr(&mulres, m.k - 1, &mut q1); + let mut q2 = [0; $size/16]; + raw_multiplication(&q1, &m.mu, &mut q2); + let mut q3 = [0; $size/16]; + shiftr(&q2, m.k + 1, &mut q3); + // 2. r1←x mod bk+1, r2←q3 · m mod bk+1, r←r1 − r2. + let mut r = [0; $size/16]; + let copylen = min(m.k + 1, mulres.len()); + for i in 0..copylen { r[i] = mulres[i]; } + let mut r2big = [0; $size/8]; + let mut mwider = [0; $size/16]; + for i in 0..$size/32 { mwider[i] = m.m[i]; } + raw_multiplication(&q3, &mwider, &mut r2big); + let mut r2 = [0; $size/16]; + for i in 0..m.k+1 { r2[i] = r2big[i]; } + let went_negative = !bignum_ge(&r, &r2); + raw_subtraction(&mut r, &r2); + // 3. If r<0 then r←r+bk+1. + if went_negative { + let mut bk1 = [0; $size/32]; + bk1[m.k + 1] = 1; + raw_addition(&mut r, &bk1); + } + // 4. While r≥m do: r←r−m. + while bignum_cmp(&r, &mwider) == Ordering::Greater { + raw_subtraction(&mut r, &mwider); + } + // Copy it over. + for (idx, val) in self.values.iter_mut().enumerate() { + *val = r[idx]; + } + } + } + + impl ModSquare<$bname> for $name { + fn modsq(&mut self, m: &$bname) { + let mut sqres = [0; $size/32]; + raw_square(&self.values, &mut sqres); + // 1. q1←⌊x/bk−1⌋, q2←q1 · μ, q3←⌊q2/bk+1⌋. + let mut q1 = [0; $size/32]; + shiftr(&sqres, m.k - 1, &mut q1); + let mut q2 = [0; $size/16]; + raw_multiplication(&q1, &m.mu, &mut q2); + let mut q3 = [0; $size/16]; + shiftr(&q2, m.k + 1, &mut q3); + // 2. r1←x mod bk+1, r2←q3 · m mod bk+1, r←r1 − r2. + let mut r = [0; $size/16]; + let copylen = min(m.k + 1, sqres.len()); + for i in 0..copylen { r[i] = sqres[i]; } + let mut r2big = [0; $size/8]; + let mut mwider = [0; $size/16]; + for i in 0..$size/32 { mwider[i] = m.m[i]; } + raw_multiplication(&q3, &mwider, &mut r2big); + let mut r2 = [0; $size/16]; + for i in 0..m.k+1 { r2[i] = r2big[i]; } + let went_negative = !bignum_ge(&r, &r2); + raw_subtraction(&mut r, &r2); + // 3. If r<0 then r←r+bk+1. + if went_negative { + let mut bk1 = [0; $size/32]; + bk1[m.k + 1] = 1; + raw_addition(&mut r, &bk1); + } + // 4. While r≥m do: r←r−m. + while bignum_cmp(&r, &mwider) == Ordering::Greater { + raw_subtraction(&mut r, &mwider); + } + // Copy it over. + for (idx, val) in self.values.iter_mut().enumerate() { + *val = r[idx]; + } + } + } + + impl ModExp<$bname> for $name { + fn modexp(&mut self, e: &$name, m: &$bname) { + // S <- g + let mut s = self.clone(); + m.reduce(&mut s); + // A <- 1 + for val in self.values.iter_mut() { *val = 0; } + self.values[0] = 1; + // We do a quick skim through and find the highest index that + // actually has a value in it. + let mut highest_digit = 0; + for (idx, val) in e.values.iter().enumerate() { + if *val != 0 { + highest_digit = idx; + } + } + // While e != 0 do the following: + // If e is odd then A <- A * S + // e <- floor(e / 2) + // If e != 0 then S <- S * S + for i in 0..highest_digit+1 { + let mut mask = 1; + + while mask != 0 { + if e.values[i] & mask != 0 { + self.modmul(&s, m); + } + mask <<= 1; + s.modsq(m); + } + } + // Return A + } + } + }; } fn shiftr(x: &[u64], amt: usize, dest: &mut [u64]) @@ -254,6 +370,76 @@ macro_rules! generate_tests { } )* } + + #[cfg(test)] + mod modmul { + use cryptonum::encoding::Decoder; + use super::*; + use testing::run_test; + + $( + #[test] + #[allow(non_snake_case)] + fn $name() { + let fname = format!("tests/math/modmul{}.test", + stringify!($name)); + run_test(fname.to_string(), 4, |case| { + let (neg0, abytes) = case.get("a").unwrap(); + let (neg1, bbytes) = case.get("b").unwrap(); + let (neg2, cbytes) = case.get("c").unwrap(); + let (neg3, mbytes) = case.get("m").unwrap(); + + assert!(!neg0 && !neg1 && !neg2 && !neg3); + let mut a = $name::from_bytes(abytes); + let b = $name::from_bytes(bbytes); + let m = $name::from_bytes(mbytes); + let mu = $bname::new(&m); + let c = $name::from_bytes(cbytes); + a.modmul(&b, &mu); + assert_eq!(a, c); + }); + } + )* + } + + #[cfg(test)] + mod modexp { + use cryptonum::encoding::{Decoder,raw_decoder}; + use super::*; + use testing::run_test; + + $( + #[test] + #[allow(non_snake_case)] + fn $name() { + let fname = format!("tests/math/bmodexp{}.test", + stringify!($name)); + run_test(fname.to_string(), 6, |case| { + let (neg0, bbytes) = case.get("b").unwrap(); + let (neg1, ebytes) = case.get("e").unwrap(); + let (neg2, mbytes) = case.get("m").unwrap(); + let (neg3, kbytes) = case.get("k").unwrap(); + let (neg4, ubytes) = case.get("u").unwrap(); + let (neg5, rbytes) = case.get("r").unwrap(); + + assert!(!neg0 && !neg1 && !neg2 && + !neg3 && !neg4 && !neg5); + let mut b = $name::from_bytes(bbytes); + let e = $name::from_bytes(ebytes); + let mut kbig = [0; 1]; + raw_decoder(&kbytes, &mut kbig); + let mut u = $bname{ k: kbig[0] as usize, + m: [0; $size/32], + mu: [0; $size/32] }; + raw_decoder(&mbytes, &mut u.m); + raw_decoder(&ubytes, &mut u.mu); + let r = $name::from_bytes(rbytes); + b.modexp(&e, &u); + assert_eq!(b, r); + }); + } + )* + } } } @@ -267,4 +453,4 @@ generate_tests!((BarrettU192, U192, 192), (BarrettU3072, U3072, 3072), (BarrettU4096, U4096, 4096), (BarrettU8192, U8192, 8192), - (BarrettU15360, U15360, 15360)); \ No newline at end of file + (BarrettU15360, U15360, 15360)); diff --git a/src/cryptonum/comparison.rs b/src/cryptonum/comparison.rs index 89538c3..ae2f9e5 100644 --- a/src/cryptonum/comparison.rs +++ b/src/cryptonum/comparison.rs @@ -15,7 +15,7 @@ pub fn bignum_cmp(x: &[u64], y: &[u64]) -> Ordering { Ordering::Equal => continue } } - + Ordering::Equal } @@ -62,4 +62,4 @@ generate_compares!(U2048); generate_compares!(U3072); generate_compares!(U4096); generate_compares!(U8192); -generate_compares!(U15360); \ No newline at end of file +generate_compares!(U15360); diff --git a/src/cryptonum/core.rs b/src/cryptonum/core.rs deleted file mode 100644 index 1978779..0000000 --- a/src/cryptonum/core.rs +++ /dev/null @@ -1,306 +0,0 @@ -use std::cmp::Ordering; - -#[inline(always)] -pub fn generic_cmp(a: &[u64], b: &[u64]) -> Ordering { - let mut i = a.len() - 1; - - assert!(a.len() == b.len()); - loop { - match a[i].cmp(&b[i]) { - Ordering::Equal if i == 0 => - return Ordering::Equal, - Ordering::Equal => - i -= 1, - res => - return res - } - } -} - -fn le(a: &[u64], b: &[u64]) -> bool { - generic_cmp(a, b) != Ordering::Greater -} - -fn ge(a: &[u64], b: &[u64]) -> bool { - generic_cmp(a, b) != Ordering::Less -} - -#[inline(always)] -pub fn generic_bitand(a: &mut [u64], b: &[u64]) { - let mut i = 0; - - assert!(a.len() == b.len()); - while i < a.len() { - a[i] &= b[i]; - i += 1; - } -} - -#[inline(always)] -pub fn generic_bitor(a: &mut [u64], b: &[u64]) { - let mut i = 0; - - assert!(a.len() == b.len()); - while i < a.len() { - a[i] |= b[i]; - i += 1; - } -} - -#[inline(always)] -pub fn generic_bitxor(a: &mut [u64], b: &[u64]) { - let mut i = 0; - - assert!(a.len() == b.len()); - while i < a.len() { - a[i] ^= b[i]; - i += 1; - } -} - -#[inline(always)] -pub fn generic_not(a: &mut [u64]) { - for x in a.iter_mut() { - *x = !*x; - } -} - -#[inline(always)] -pub fn generic_shl(a: &mut [u64], orig: &[u64], amount: usize) { - let digits = amount / 64; - let bits = amount % 64; - - assert!(a.len() == orig.len()); - for i in 0..a.len() { - if i < digits { - a[i] = 0; - } else { - let origidx = i - digits; - let prev = if origidx == 0 { 0 } else { orig[origidx - 1] }; - let (carry,_) = if bits == 0 { (0, false) } - else { prev.overflowing_shr(64 - bits as u32) }; - a[i] = (orig[origidx] << bits) | carry; - } - } -} - -#[inline(always)] -pub fn generic_shr(a: &mut [u64], orig: &[u64], amount: usize) { - let digits = amount / 64; - let bits = amount % 64; - - assert!(a.len() == orig.len()); - for i in 0..a.len() { - let oldidx = i + digits; - let caridx = i + digits + 1; - let old = if oldidx >= a.len() { 0 } else { orig[oldidx] }; - let carry = if caridx >= a.len() { 0 } else { orig[caridx] }; - let cb = if bits == 0 { 0 } else { carry << (64 - bits) }; - a[i] = (old >> bits) | cb; - } -} - -#[inline(always)] -pub fn generic_add(a: &mut [u64], b: &[u64]) { - let mut carry = 0; - - assert!(a.len() == b.len()); - for i in 0..a.len() { - let x = a[i] as u128; - let y = b[i] as u128; - let total = x + y + carry; - a[i] = total as u64; - carry = total >> 64; - } -} - -#[inline(always)] -pub fn generic_sub(a: &mut [u64], b: &[u64]) { - let mut negated_rhs = b.to_vec(); - generic_not(&mut negated_rhs); - let mut one = Vec::with_capacity(a.len()); - one.resize(a.len(), 0); - one[0] = 1; - generic_add(&mut negated_rhs, &one); - generic_add(a, &negated_rhs); -} - -#[inline(always)] -pub fn generic_mul(a: &mut [u64], orig: &[u64], b: &[u64]) { - assert!(a.len() == orig.len()); - assert!(a.len() == b.len()); - assert!(a == orig); - - // Build the output table. This is a little bit awkward because we don't - // know how big we're running, but hopefully the compiler is smart enough - // to work all this out. - let mut table = Vec::with_capacity(a.len()); - for _ in 0..a.len() { - let mut row = Vec::with_capacity(a.len()); - row.resize(a.len(), 0); - table.push(row); - } - // This uses "simple" grade school techniques to work things out. But, - // for reference, consider two 4 digit numbers: - // - // l0c3 l0c2 l0c1 l0c0 [orig] - // x l1c3 l1c2 l1c1 l1c0 [b] - // ------------------------------------------------------------ - // (l0c3*l1c0) (l0c2*l1c0) (l0c1*l1c0) (l0c0*l1c0) - // (l0c2*l1c1) (l0c1*l1c1) (l0c0*l1c1) - // (l0c1*l1c2) (l0c0*l1c2) - // (l0c0*l1c3) - // ------------------------------------------------------------ - // AAAAA BBBBB CCCCC DDDDD - for line in 0..a.len() { - let maxcol = a.len() - line; - for col in 0..maxcol { - let left = orig[col] as u128; - let right = b[line] as u128; - table[line][col + line] = left * right; - } - } - // ripple the carry across each line, ensuring that each entry in the - // table is 64-bits - for line in 0..a.len() { - let mut carry = 0; - for col in 0..a.len() { - table[line][col] = table[line][col] + carry; - carry = table[line][col] >> 64; - table[line][col] &= 0xFFFFFFFFFFFFFFFF; - } - } - // now do the final addition across the lines, rippling the carry as - // normal - let mut carry = 0; - for col in 0..a.len() { - let mut total = carry; - for line in 0..a.len() { - total += table[line][col]; - } - a[col] = total as u64; - carry = total >> 64; - } -} - -#[inline(always)] -pub fn generic_div(inx: &[u64], iny: &[u64], - outq: &mut [u64], outr: &mut [u64]) -{ - assert!(inx.len() == inx.len()); - assert!(inx.len() == iny.len()); - assert!(inx.len() == outq.len()); - assert!(inx.len() == outr.len()); - // This algorithm is from the Handbook of Applied Cryptography, Chapter 14, - // algorithm 14.20. It has a couple assumptions about the inputs, namely that - // n >= t >= 1 and y[t] != 0, where n and t refer to the number of digits in - // the numbers. Which means that if we used the inputs unmodified, we can't - // divide by single-digit numbers. - // - // To deal with this, we multiply inx and iny by 2^64, so that we push out - // t by one. - // - // In addition, this algorithm starts to go badly when y[t] is very small - // and x[n] is very large. Really, really badly. This can be fixed by - // insuring that the top bit is set in y[t], which we can achieve by - // shifting everyone over a maxiumum of 63 bits. - // - // What this means is, just for safety, we add a 0 at the beginning and - // end of each number. - let mut y = iny.to_vec(); - let mut x = inx.to_vec(); - y.insert(0,0); y.push(0); - x.insert(0,0); x.push(0); - // 0. Compute 'n' and 't' - let n = x.len() - 1; - let mut t = y.len() - 1; - while (t > 0) && (y[t] == 0) { t -= 1 } - assert!(y[t] != 0); // this is where division by zero will fire - // 0.5. Figure out a shift we can do such that the high bit of y[t] is - // set, and then shift x and y left by that much. - let additional_shift: usize = y[t].leading_zeros() as usize; - let origx = x.clone(); - let origy = y.clone(); - generic_shl(&mut x, &origx, additional_shift); - generic_shl(&mut y, &origy, additional_shift); - // 1. For j from 0 to (n - 1) do: q_j <- 0 - let mut q = Vec::with_capacity(y.len()); - q.resize(y.len(), 0); - for qj in q.iter_mut() { *qj = 0 } - // 2. While (x >= yb^(n-t)) do the following: - // q_(n-t) <- q_(n-t) + 1 - // x <- x - yb^(n-t) - let mut ybnt = y.clone(); - generic_shl(&mut ybnt, &y, 64 * (n - t)); - while ge(&x, &ybnt) { - q[n-t] = q[n-t] + 1; - generic_sub(&mut x, &ybnt); - } - // 3. For i from n down to (t + 1) do the following: - let mut i = n; - while i >= (t + 1) { - // 3.1. if x_i = y_t, then set q_(i-t-1) <- b - 1; otherwise set - // q_(i-t-1) <- floor((x_i * b + x_(i-1)) / y_t). - if x[i] == y[t] { - q[i-t-1] = 0xFFFFFFFFFFFFFFFF; - } else { - let top = ((x[i] as u128) << 64) + (x[i-1] as u128); - let bot = y[t] as u128; - let solution = top / bot; - q[i-t-1] = solution as u64; - } - // 3.2. While (q_(i-t-1)(y_t * b + y_(t-1)) > x_i(b2) + x_(i-1)b + - // x_(i-2)) do: - // q_(i - t - 1) <- q_(i - t 1) - 1. - loop { - let mut left = Vec::with_capacity(x.len()); - left.resize(x.len(), 0); - left[0] = q[i - t - 1]; - let mut leftright = Vec::with_capacity(x.len()); - leftright.resize(x.len(), 0); - leftright[0] = y[t-1]; - - let copy = left.clone(); - generic_mul(&mut left, ©, &leftright); - let mut right = Vec::with_capacity(x.len()); - right.resize(x.len(), 0); - right[0] = x[i-2]; - right[1] = x[i-1]; - right[2] = x[i]; - - if le(&left, &right) { - break - } - - q[i - t - 1] -= 1; - } - // 3.3. x <- x - q_(i - t - 1) * y * b^(i-t-1) - let mut right = Vec::with_capacity(y.len()); - right.resize(y.len(), 0); - right[i - t - 1] = q[i - t - 1]; - let rightclone = right.clone(); - generic_mul(&mut right, &rightclone, &y); - let wentnegative = generic_cmp(&x, &right) == Ordering::Less; - generic_sub(&mut x, &right); - // 3.4. if x < 0 then set x <- x + yb^(i-t-1) and - // q_(i-t-1) <- q_(i-t-1) - 1 - if wentnegative { - let mut ybit1 = y.to_vec(); - generic_shl(&mut ybit1, &y, 64 * (i - t - 1)); - generic_add(&mut x, &ybit1); - q[i - t - 1] -= 1; - } - i -= 1; - } - // 4. r <- x - let finalx = x.clone(); - generic_shr(&mut x, &finalx, additional_shift); - for i in 0..outr.len() { - outr[i] = x[i + 1]; // note that for the remainder, we're dividing by - // our normalization value. - } - // 5. return (q,r) - for i in 0..outq.len() { - outq[i] = q[i]; - } -} diff --git a/src/cryptonum/exponentiation.rs b/src/cryptonum/exponentiation.rs index 79df3b0..895ecae 100644 --- a/src/cryptonum/exponentiation.rs +++ b/src/cryptonum/exponentiation.rs @@ -38,10 +38,10 @@ macro_rules! generate_exponentiators while mask != 0 { if e.values[i] & mask != 0 { - self.modmul(&s, &m); + self.modmul(&s, m); } mask <<= 1; - s.modsq(&m); + s.modsq(m); } } // Return A @@ -94,7 +94,40 @@ macro_rules! generate_tests { } )* } + + #[cfg(test)] + mod varrett_modular { + use cryptonum::encoding::Decoder; + use super::*; + use testing::run_test; + + $( + #[test] + #[allow(non_snake_case)] + #[ignore] + fn $name() { + let fname = format!("tests/math/modexp{}.test", + stringify!($name)); + run_test(fname.to_string(), 4, |case| { + let (neg0, bbytes) = case.get("b").unwrap(); + let (neg1, ebytes) = case.get("e").unwrap(); + let (neg2, mbytes) = case.get("m").unwrap(); + let (neg3, rbytes) = case.get("r").unwrap(); + + assert!(!neg0 && !neg1 && !neg2 && !neg3); + let mut b = $name::from_bytes(bbytes); + let e = $name::from_bytes(ebytes); + let m = $name::from_bytes(mbytes); + let r = $name::from_bytes(rbytes); + b.modexp(&e, &m); + assert_eq!(b, r); + }); + } + )* + } + } } -generate_tests!(U192, U256, U384, U512, U576, U1024, U2048, U3072, U4096, U8192, U15360); \ No newline at end of file +generate_tests!(U192, U256, U384, U512, U576, U1024, U2048, + U3072, U4096, U8192, U15360); diff --git a/src/cryptonum/multiplication.rs b/src/cryptonum/multiplication.rs index 840b761..e969d8c 100644 --- a/src/cryptonum/multiplication.rs +++ b/src/cryptonum/multiplication.rs @@ -9,7 +9,6 @@ pub trait ModMul { } // This is algorithm 14.12 from "Handbook of Applied Cryptography" -#[inline(always)] pub fn raw_multiplication(x: &[u64], y: &[u64], w: &mut [u64]) { assert_eq!(x.len(), y.len()); @@ -212,4 +211,4 @@ macro_rules! generate_tests { } } -generate_tests!(U192, U256, U384, U512, U576, U1024, U2048, U3072, U4096, U8192, U15360); \ No newline at end of file +generate_tests!(U192, U256, U384, U512, U576, U1024, U2048, U3072, U4096, U8192, U15360); diff --git a/src/cryptonum/squaring.rs b/src/cryptonum/squaring.rs index aa6305d..903c96f 100644 --- a/src/cryptonum/squaring.rs +++ b/src/cryptonum/squaring.rs @@ -7,7 +7,6 @@ pub trait ModSquare } // This is algorithm 14.16 from "Handbook of Applied Cryptography". -#[inline(always)] pub fn raw_square(x: &[u64], result: &mut [u64]) { assert_eq!(x.len() * 2, result.len()); @@ -150,4 +149,4 @@ macro_rules! generate_tests { } } -generate_tests!(U192, U256, U384, U512, U576, U1024, U2048, U3072, U4096, U8192, U15360); \ No newline at end of file +generate_tests!(U192, U256, U384, U512, U576, U1024, U2048, U3072, U4096, U8192, U15360); diff --git a/src/cryptonum/subtraction.rs b/src/cryptonum/subtraction.rs index ae94bd4..97f46b7 100644 --- a/src/cryptonum/subtraction.rs +++ b/src/cryptonum/subtraction.rs @@ -4,7 +4,6 @@ use cryptonum::{U192, U256, U384, U512, U576, use cryptonum::addition::raw_addition; use std::ops::{Sub,SubAssign}; -#[inline(always)] pub fn raw_subtraction(x: &mut [u64], y: &[u64]) { assert_eq!(x.len(), y.len()); @@ -110,4 +109,4 @@ macro_rules! generate_tests { } } -generate_tests!(U192, U256, U384, U512, U576, U1024, U2048, U3072, U4096, U8192, U15360); \ No newline at end of file +generate_tests!(U192, U256, U384, U512, U576, U1024, U2048, U3072, U4096, U8192, U15360); diff --git a/tests/math/GenerateTests.hs b/tests/math/GenerateTests.hs index f8485f4..f8386a9 100644 --- a/tests/math/GenerateTests.hs +++ b/tests/math/GenerateTests.hs @@ -5,6 +5,7 @@ import qualified Data.Map.Strict as Map import GHC.Integer.GMP.Internals(powModInteger) import Numeric(showHex) import Prelude hiding (log) +import System.Environment(getArgs) import System.IO(hFlush,stdout,IOMode(..),withFile,Handle,hClose,hPutStrLn) import System.Random(StdGen,newStdGen,random) @@ -18,6 +19,7 @@ testTypes = [("addition", addTest), ("squaring", squareTest), ("modsq", modsqTest), ("modexp", modexpTest), + ("bmodexp", bmodexpTest), ("division", divTest), ("barrett_gen", barrettGenTest), ("barrett_reduce", barrettReduceTest) @@ -189,6 +191,24 @@ barrettReduceTest bitsize gen0 = (res, gen2) ("u", showHex u ""), ("r", showHex r "")] +bmodexpTest :: Int -> StdGen -> (Map String String, StdGen) +bmodexpTest bitsize gen0 = (res, gen2) + where + (b, gen1) = random gen0 + (e, gen2) = random gen1 + (m, gen3) = random gen2 + [b',e',m'] = splitMod bitsize [b,e,m] + k = computeK m' + u = barrett bitsize m' + r = powModInteger b' e' m' + res = Map.fromList [("b", showHex b' ""), + ("e", showHex e' ""), + ("m", showHex m' ""), + ("k", showHex k ""), + ("u", showHex u ""), + ("r", showHex r "")] + + barrett :: Int -> Integer -> Integer barrett bitsize m = (b ^ (2 * k)) `div` m where @@ -218,13 +238,18 @@ generateData hndl generator gen () = main :: IO () main = - forM_ testTypes $ \ (testName, testFun) -> - forM_ bitSizes $ \ bitsize -> - do log ("Generating " ++ show bitsize ++ "-bit " ++ testName ++ " tests") - withFile (testName ++ "U" ++ show bitsize ++ ".test") WriteMode $ \ hndl -> - do gen <- newStdGen - foldM_ (generateData hndl (testFun bitsize)) - gen - (replicate numTests ()) - hClose hndl - log " done\n" + do args <- getArgs + let tests = if null args + then testTypes + else filter (\ (name,_) -> name `elem` args) testTypes + forM_ tests $ \ (testName, testFun) -> + forM_ bitSizes $ \ bitsize -> + do log ("Generating "++show bitsize++"-bit "++testName++" tests") + withFile (testName ++ "U" ++ show bitsize ++ ".test") WriteMode $ + \ hndl -> + do gen <- newStdGen + foldM_ (generateData hndl (testFun bitsize)) + gen + (replicate numTests ()) + hClose hndl + log " done\n" diff --git a/tests/math/bmodexpU1024.test b/tests/math/bmodexpU1024.test new file mode 100644 index 0000000..50ab695 --- /dev/null +++ b/tests/math/bmodexpU1024.test @@ -0,0 +1,6000 @@ +b: ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffd810a24afa0cd3c8 +e: ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa3100f1204d6fc88 +k: 11 +m: 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+b: 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+b: 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+b: 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+e: ffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffffa10e347959f58fca +k: f1 +m: 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+b: 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+e: 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+k: f1 +m: 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+b: 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+k: f1 +m: 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+b: 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+e: 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+b: 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+b: 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+b: 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+b: 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+e: 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+b: 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+e: 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+b: 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+b: 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+k: f1 +m: 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+b: 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diff --git a/tests/math/bmodexpU192.test b/tests/math/bmodexpU192.test new file mode 100644 index 0000000..e8fa0e4 --- /dev/null +++ b/tests/math/bmodexpU192.test @@ -0,0 +1,6000 @@ +b: 464f943e96fa581c +e: ffffffffffffffffffffffffffffffff8cdd98511d2a919d +k: 4 +m: ffffffffffffffffffffffffffffffffe11e83fe200e6972 +r: 4e44be97bb19e0448f074c437f21d8980145373b30765a1c +u: 1000000000000000000000000000000001ee17c01dff1968e000000000000000003b99faba7da16e9 +b: 26d361e84c181c22 +e: 140ab185d5d02ec2 +k: 4 +m: ffffffffffffffffffffffffffffffff8cdd98511d2a919d +r: 24073d12c8637faf3ac2acef7b3e6821f8d19f814a48c7ec +u: 100000000000000000000000000000000732267aee2d56e63000000000000000033c7edc6d43e33df +b: 140ab185d5d02ec2 +e: ffffffffffffffffffffffffffffffffa6aaec9c22b0193a +k: 4 +m: ffffffffffffffffffffffffffffffffcff1c0ba769c26b9 +r: 31a9e3e3e265097da75a4ad83c0b4756efcd987c1d45a8c5 +u: 100000000000000000000000000000000300e3f458963d9470000000000000000090558850ec3c4e8 +b: 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