librustzcash/components/equihash/src/minimal.rs

261 lines
9.2 KiB
Rust

use std::io::Cursor;
use std::mem::size_of;
use byteorder::{BigEndian, ReadBytesExt};
use crate::params::Params;
// Rough translation of CompressArray() from:
// https://github.com/zcash/zcash/blob/6fdd9f1b81d3b228326c9826fa10696fc516444b/src/crypto/equihash.cpp#L39-L76
#[cfg(any(feature = "solver", test))]
fn compress_array(array: &[u8], bit_len: usize, byte_pad: usize) -> Vec<u8> {
let index_bytes = (u32::BITS / 8) as usize;
assert!(bit_len >= 8);
assert!(8 * index_bytes >= 7 + bit_len);
let in_width: usize = (bit_len + 7) / 8 + byte_pad;
let out_len = bit_len * array.len() / (8 * in_width);
let mut out = Vec::with_capacity(out_len);
let bit_len_mask: u32 = (1 << (bit_len as u32)) - 1;
// The acc_bits least-significant bits of acc_value represent a bit sequence
// in big-endian order.
let mut acc_bits: usize = 0;
let mut acc_value: u32 = 0;
let mut j: usize = 0;
for _i in 0..out_len {
// When we have fewer than 8 bits left in the accumulator, read the next
// input element.
if acc_bits < 8 {
acc_value <<= bit_len;
for x in byte_pad..in_width {
acc_value |= (
// Apply bit_len_mask across byte boundaries
(array[j + x] & ((bit_len_mask >> (8 * (in_width - x - 1))) as u8)) as u32
)
.wrapping_shl(8 * (in_width - x - 1) as u32); // Big-endian
}
j += in_width;
acc_bits += bit_len;
}
acc_bits -= 8;
out.push((acc_value >> acc_bits) as u8);
}
out
}
pub(crate) fn expand_array(vin: &[u8], bit_len: usize, byte_pad: usize) -> Vec<u8> {
assert!(bit_len >= 8);
assert!(u32::BITS as usize >= 7 + bit_len);
let out_width = (bit_len + 7) / 8 + byte_pad;
let out_len = 8 * out_width * vin.len() / bit_len;
// Shortcut for parameters where expansion is a no-op
if out_len == vin.len() {
return vin.to_vec();
}
let mut vout: Vec<u8> = vec![0; out_len];
let bit_len_mask: u32 = (1 << bit_len) - 1;
// The acc_bits least-significant bits of acc_value represent a bit sequence
// in big-endian order.
let mut acc_bits = 0;
let mut acc_value: u32 = 0;
let mut j = 0;
for b in vin {
acc_value = (acc_value << 8) | u32::from(*b);
acc_bits += 8;
// When we have bit_len or more bits in the accumulator, write the next
// output element.
if acc_bits >= bit_len {
acc_bits -= bit_len;
for x in byte_pad..out_width {
vout[j + x] = ((
// Big-endian
acc_value >> (acc_bits + (8 * (out_width - x - 1)))
) & (
// Apply bit_len_mask across byte boundaries
(bit_len_mask >> (8 * (out_width - x - 1))) & 0xFF
)) as u8;
}
j += out_width;
}
}
vout
}
// Rough translation of GetMinimalFromIndices() from:
// https://github.com/zcash/zcash/blob/6fdd9f1b81d3b228326c9826fa10696fc516444b/src/crypto/equihash.cpp#L130-L145
#[cfg(any(feature = "solver", test))]
pub(crate) fn minimal_from_indices(p: Params, indices: &[u32]) -> Vec<u8> {
let c_bit_len = p.collision_bit_length();
let index_bytes = (u32::BITS / 8) as usize;
let digit_bytes = ((c_bit_len + 1) + 7) / 8;
assert!(digit_bytes <= index_bytes);
let len_indices = indices.len() * index_bytes;
let byte_pad = index_bytes - digit_bytes;
// Rough translation of EhIndexToArray(index, array_pointer) from:
// https://github.com/zcash/zcash/blob/6fdd9f1b81d3b228326c9826fa10696fc516444b/src/crypto/equihash.cpp#L123-L128
//
// Big-endian so that lexicographic array comparison is equivalent to integer comparison.
let array: Vec<u8> = indices
.iter()
.flat_map(|index| index.to_be_bytes())
.collect();
assert_eq!(array.len(), len_indices);
compress_array(&array, c_bit_len + 1, byte_pad)
}
/// Returns `None` if the parameters are invalid for this minimal encoding.
pub(crate) fn indices_from_minimal(p: Params, minimal: &[u8]) -> Option<Vec<u32>> {
let c_bit_len = p.collision_bit_length();
// Division is exact because k >= 3.
if minimal.len() != ((1 << p.k) * (c_bit_len + 1)) / 8 {
return None;
}
assert!(((c_bit_len + 1) + 7) / 8 <= size_of::<u32>());
let len_indices = u32::BITS as usize * minimal.len() / (c_bit_len + 1);
let byte_pad = size_of::<u32>() - ((c_bit_len + 1) + 7) / 8;
let mut csr = Cursor::new(expand_array(minimal, c_bit_len + 1, byte_pad));
let mut ret = Vec::with_capacity(len_indices);
// Big-endian so that lexicographic array comparison is equivalent to integer
// comparison
while let Ok(i) = csr.read_u32::<BigEndian>() {
ret.push(i);
}
Some(ret)
}
#[cfg(test)]
mod tests {
use crate::minimal::minimal_from_indices;
use super::{compress_array, expand_array, indices_from_minimal, Params};
#[test]
fn array_compression_and_expansion() {
let check_array = |(bit_len, byte_pad), compact, expanded| {
assert_eq!(compress_array(expanded, bit_len, byte_pad), compact);
assert_eq!(expand_array(compact, bit_len, byte_pad), expanded);
};
// 8 11-bit chunks, all-ones
check_array(
(11, 0),
&[
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
],
&[
0x07, 0xff, 0x07, 0xff, 0x07, 0xff, 0x07, 0xff, 0x07, 0xff, 0x07, 0xff, 0x07, 0xff,
0x07, 0xff,
][..],
);
// 8 21-bit chunks, alternating 1s and 0s
check_array(
(21, 0),
&[
0xaa, 0xaa, 0xad, 0x55, 0x55, 0x6a, 0xaa, 0xab, 0x55, 0x55, 0x5a, 0xaa, 0xaa, 0xd5,
0x55, 0x56, 0xaa, 0xaa, 0xb5, 0x55, 0x55,
],
&[
0x15, 0x55, 0x55, 0x15, 0x55, 0x55, 0x15, 0x55, 0x55, 0x15, 0x55, 0x55, 0x15, 0x55,
0x55, 0x15, 0x55, 0x55, 0x15, 0x55, 0x55, 0x15, 0x55, 0x55,
][..],
);
// 8 21-bit chunks, based on example in the spec
check_array(
(21, 0),
&[
0x00, 0x02, 0x20, 0x00, 0x0a, 0x7f, 0xff, 0xfe, 0x00, 0x12, 0x30, 0x22, 0xb3, 0x82,
0x26, 0xac, 0x19, 0xbd, 0xf2, 0x34, 0x56,
],
&[
0x00, 0x00, 0x44, 0x00, 0x00, 0x29, 0x1f, 0xff, 0xff, 0x00, 0x01, 0x23, 0x00, 0x45,
0x67, 0x00, 0x89, 0xab, 0x00, 0xcd, 0xef, 0x12, 0x34, 0x56,
][..],
);
// 16 14-bit chunks, alternating 11s and 00s
check_array(
(14, 0),
&[
0xcc, 0xcf, 0x33, 0x3c, 0xcc, 0xf3, 0x33, 0xcc, 0xcf, 0x33, 0x3c, 0xcc, 0xf3, 0x33,
0xcc, 0xcf, 0x33, 0x3c, 0xcc, 0xf3, 0x33, 0xcc, 0xcf, 0x33, 0x3c, 0xcc, 0xf3, 0x33,
],
&[
0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33,
0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33, 0x33,
0x33, 0x33, 0x33, 0x33,
][..],
);
// 8 11-bit chunks, all-ones, 2-byte padding
check_array(
(11, 2),
&[
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
],
&[
0x00, 0x00, 0x07, 0xff, 0x00, 0x00, 0x07, 0xff, 0x00, 0x00, 0x07, 0xff, 0x00, 0x00,
0x07, 0xff, 0x00, 0x00, 0x07, 0xff, 0x00, 0x00, 0x07, 0xff, 0x00, 0x00, 0x07, 0xff,
0x00, 0x00, 0x07, 0xff,
][..],
);
}
#[test]
fn minimal_solution_repr() {
let check_repr = |minimal, indices| {
let p = Params { n: 80, k: 3 };
assert_eq!(minimal_from_indices(p, indices), minimal);
assert_eq!(indices_from_minimal(p, minimal).unwrap(), indices);
};
// The solutions here are not intended to be valid.
check_repr(
&[
0x00, 0x00, 0x08, 0x00, 0x00, 0x40, 0x00, 0x02, 0x00, 0x00, 0x10, 0x00, 0x00, 0x80,
0x00, 0x04, 0x00, 0x00, 0x20, 0x00, 0x01,
],
&[1, 1, 1, 1, 1, 1, 1, 1],
);
check_repr(
&[
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
0xff, 0xff, 0xff, 0xff, 0xff, 0xff, 0xff,
],
&[
2097151, 2097151, 2097151, 2097151, 2097151, 2097151, 2097151, 2097151,
],
);
check_repr(
&[
0x0f, 0xff, 0xf8, 0x00, 0x20, 0x03, 0xff, 0xfe, 0x00, 0x08, 0x00, 0xff, 0xff, 0x80,
0x02, 0x00, 0x3f, 0xff, 0xe0, 0x00, 0x80,
],
&[131071, 128, 131071, 128, 131071, 128, 131071, 128],
);
check_repr(
&[
0x00, 0x02, 0x20, 0x00, 0x0a, 0x7f, 0xff, 0xfe, 0x00, 0x4d, 0x10, 0x01, 0x4c, 0x80,
0x0f, 0xfc, 0x00, 0x00, 0x2f, 0xff, 0xff,
],
&[68, 41, 2097151, 1233, 665, 1023, 1, 1048575],
);
}
}