1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 201 202 203 204 205 206 207 208 209 210 211 212 213 214 215 216 217 218 219 220 221 222 223 224 225 226 227 228 229 230 231 232 233 234 235 236 237 238 239 240 241 242 243 244 245 246 247 248 249 250 251 252 253 254 255 256 257 258 259 260 261 262 263 264 265 266 267 268 269 270 271 272 273 274 275 276 277 278 279 280 281 282 283 284 285 286 287 288 289 290 291 292 293 294 295 296 297 298 299 300 301 302 303 304 305 306 307 308 309 310 311 312 313 314 315 316 317 318 319 320 321 322 323 324 325 326 327 328 329 330 331 332 333 334 335 336 337 338 339 340 341 342 343 344 345 346 347 348 349 350 351 352 353 354 355 356 357 358 359 360 361 362 363 364 365 366 367 368 369 370 371 372 373 374 375 376 377 378 379 380 381 382 383 384 385 386 387 388 389 390 391 392 393
use std::default::Default;
use std::iter;
use std::marker::PhantomData;
use std::ops::Range;
use crate::alignment::AlignmentOperation;
use crate::pattern_matching::myers::{word_size, BitVec, DistType, State};
/// Objects implementing this trait handle the addition of calculated blocks (State<T, D>)
/// to a container, and are responsible for creating the respective `TracebackHandler` object.
pub(super) trait StatesHandler<'a, T, D>
where
T: BitVec + 'a,
D: DistType,
{
/// Object that helps obtaining a single traceback path
type TracebackHandler: TracebackHandler<'a, T, D>;
/// Type that represents a column in the traceback matrix
type TracebackColumn: ?Sized;
/// Prepare for a new search given n (maximum expected number of traceback columns) and
/// m (pattern length).
/// Returns the expected size of the vector storing the calculated blocks given this
/// information. The vector will then be initialized with the given number of 'empty'
/// State<T, D> objects and supplied to the other methods as slice.
fn init(&mut self, n: usize, m: D) -> usize;
/// Fill the column at `pos` with states initialized with the maximum distance
/// (`State::max()`).
fn set_max_state(&self, pos: usize, states: &mut [State<T, D>]);
/// This method copies over all blocks (or the one block) from a tracback column
/// into the mutable `states` slice at the given column position.
fn add_state(&self, source: &Self::TracebackColumn, pos: usize, states: &mut [State<T, D>]);
/// Initiates a `TracebackHandler` object to assist with a traceback, 'starting'
/// at the given end position.
fn init_traceback(&self, m: D, pos: usize, states: &'a [State<T, D>])
-> Self::TracebackHandler;
}
/// Objects implementing this trait should store states and have methods
/// necessary for obtaining a single traceback path. This allows to use the
/// same traceback code for the simple and the block-based Myers pattern
/// matching approaches. It is designed to be as general as possible
/// to allow different implementations.
///
/// Implementors of `TracebackHandler` keep two `State<T, D>` instances,
/// which store the information from two horizontally adjacent traceback
/// columns, encoded in the PV / MV bit vectors. The columns are accessible
/// using the methods `block()` (current / right column) and `left_block()`
/// (left column). Moving horizontally to the next position can be achieved
/// using `move_left()`.
///
/// Implementors also track the vertical cursor positions within the current
/// traceback columns (two separate cursors for left and right column).
/// `block()` and `left_block()` will always return the block that currently
/// contain the cursors.
/// `pos_bitvec()` returns a bit vector with a single activated bit at the current
/// vertical position within the *right (current)* column.
/// Moving to the next vertical position is achieved by `move_up()` and
/// `move_up_left()`. With the block based implementation, this may involve
/// switching to a new block.
pub(super) trait TracebackHandler<'a, T, D>
where
T: BitVec + 'a,
D: DistType,
{
/// Returns a reference to the current (right) block.
fn block(&self) -> &State<T, D>;
/// Returns a mutable reference to the current (right) block.
fn block_mut(&mut self) -> &mut State<T, D>;
/// Returns a reference to the left block.
fn left_block(&self) -> &State<T, D>;
/// Returns a mutable reference to the left block.
fn left_block_mut(&mut self) -> &mut State<T, D>;
/// Bit vector representing the position in the traceback. Only the bit
/// at the current position should be on.
/// For a search pattern of length 4, the initial bit vector would be
/// `0b1000`. A call to `move_up_cursor()` will shift the vector, so another
/// call to `pos_bitvec()` results in `0b100`.
/// The bit vector has a width of `T`, meaning that it can store
/// the same number of positions as the PV and MV vectors. In the
/// case of the block based algorithm, the vector only stores the
/// position within the current block.
fn pos_bitvec(&self) -> T;
/// Move up cursor by one position in traceback matrix.
///
/// # Arguments
///
/// * adjust_dist: If true, the distance score of the block is adjusted
/// based on the current cursor position before moving it up.
/// *Note concerning the block based Myers algorithm:*
/// The the active bit in bit vector returned by `pos_bitvec()`
/// is expected to jump back to the maximum (lowest) position
/// when reaching the uppermost position (like `rotate_right()` does).
fn move_up(&mut self, adjust_dist: bool);
/// Move up left cursor by one position in traceback matrix.
///
/// # Arguments
///
/// * adjust_dist: If true, the distance score of the block is adjusted
/// based on the current cursor position before moving it up.
/// However, the current cursor position of the **right** block is used,
/// **not** the one of the left block. This is an important oddity, which
/// makes only sense because of the design of the traceback algorithm.
fn move_up_left(&mut self, adjust_dist: bool);
/// Shift the view by one traceback column / block to the left. The
/// block that was on the left position previously moves to the right /
/// current block without changes. The cursor positions have to be
/// adjusted indepentedently if necessary using `move_up(false)` /
/// `move_up_left(false)`.
/// `move_left()` adjusts distance score of the new left block to
/// be correct for the left vertical cursor position. It is therefore
/// important that the cursor is moved *before* calling `move_left()`.
fn move_to_left(&mut self);
/// Rather specialized method that allows having a simpler code in Traceback::_traceback_at()
/// Checks if the position below the left cursor has a smaller distance, and if so,
/// moves the cursor to this block and returns `true`.
///
/// The problem is that the current implementation always keeps the left cursor in the
/// diagonal position for performance reasons. In this case, checking the actual left
/// distance score can be complicated with the block-based algorithm since the left cursor
/// may be at the lower block boundary. If so, the function thus has to check the topmost
/// position of the lower block and keep this block if the distance is better (lower).
fn move_left_down_if_better(&mut self) -> bool;
/// Returns a slice containing all blocks of the current traceback column
/// from top to bottom. Used for debugging only.
fn column_slice(&self) -> &[State<T, D>];
/// Returns true if topmost position in the traceback matrix has been reached,
/// meaning that the traceback is complete.
/// Technically this means, that `move_up_cursor()` was called so many times
/// until the uppermost block was reached and the pos_bitvec() does not contain
/// any bit, since shifting has removed it from the vector.
fn finished(&self) -> bool;
/// For debugging only
fn print_state(&self) {
println!(
"--- TB dist ({:?} <-> {:?})",
self.left_block().dist,
self.block().dist
);
println!(
"{:064b} m\n{:064b} + ({:?}) (left) d={:?}\n{:064b} - ({:?})\n \
{:064b} + ({:?}) (current) d={:?}\n{:064b} - ({:?})\n",
self.pos_bitvec(),
self.left_block().pv,
self.left_block().pv,
self.left_block().dist,
self.left_block().mv,
self.left_block().mv,
self.block().pv,
self.block().pv,
self.block().dist,
self.block().mv,
self.block().mv
);
}
}
#[derive(Clone, Debug)]
pub(super) struct Traceback<'a, T, D, H>
where
T: BitVec + 'a,
D: DistType,
H: StatesHandler<'a, T, D>,
{
m: D,
positions: iter::Cycle<Range<usize>>,
handler: H,
pos: usize,
_t: PhantomData<&'a T>,
}
impl<'a, T, D, H> Traceback<'a, T, D, H>
where
T: BitVec,
D: DistType,
H: StatesHandler<'a, T, D>,
{
#[inline]
pub fn new(
states: &mut Vec<State<T, D>>,
initial_state: &H::TracebackColumn,
num_cols: usize,
m: D,
mut handler: H,
) -> Self {
// Correct traceback needs two additional columns at the left of the matrix (see below).
// Therefore reserving additional space.
let num_cols = num_cols + 2;
let n_states = handler.init(num_cols, m);
let mut tb = Traceback {
m,
positions: (0..num_cols).cycle(),
handler,
pos: 0,
_t: PhantomData,
};
// extend or truncate states vector
let curr_len = states.len();
if n_states > curr_len {
states.reserve(n_states);
states.extend((0..n_states - curr_len).map(|_| State::default()));
} else {
states.truncate(n_states);
states.shrink_to_fit();
}
// important if using unsafe in add_state(), and also for correct functioning of traceback
debug_assert!(states.len() == n_states);
// first column is used to ensure a correct path if the text (target)
// is shorter than the pattern (query)
tb.pos = tb.positions.next().unwrap();
tb.handler.set_max_state(tb.pos, states);
// initial state
tb.add_state(initial_state, states);
tb
}
#[inline]
pub fn add_state(&mut self, column: &H::TracebackColumn, states: &mut [State<T, D>]) {
self.pos = self.positions.next().unwrap();
self.handler.add_state(column, self.pos, states);
}
/// Returns the length of the current match, optionally adding the
/// alignment path to `ops`
#[inline]
pub fn traceback(
&self,
ops: Option<&mut Vec<AlignmentOperation>>,
states: &'a [State<T, D>],
) -> (D, D) {
self._traceback_at(self.pos, ops, states)
}
/// Returns the length of a match with a given end position, optionally adding the
/// alignment path to `ops`
/// only to be called if the `states` vec contains all states of the text
#[inline]
pub fn traceback_at(
&self,
pos: usize,
ops: Option<&mut Vec<AlignmentOperation>>,
states: &'a [State<T, D>],
) -> Option<(D, D)> {
let pos = pos + 2; // in order to be comparable since self.pos starts at 2, not 0
if pos <= self.pos {
return Some(self._traceback_at(pos, ops, states));
}
None
}
/// returns a tuple of alignment length and hit distance, optionally adding the alignment path
/// to `ops`
#[inline]
fn _traceback_at(
&self,
pos: usize,
mut ops: Option<&mut Vec<AlignmentOperation>>,
state_slice: &'a [State<T, D>],
) -> (D, D) {
use self::AlignmentOperation::*;
// Generic object that holds the necessary data and methods
let mut h = self.handler.init_traceback(self.m, pos, state_slice);
// self.print_tb_matrix(pos, state_slice);
let ops = &mut ops;
// horizontal column offset from starting point in traceback matrix (bottom right)
let mut h_offset = D::zero();
// distance of the match (will be returned)
let dist = h.block().dist;
// The cursor of the left state is always for diagonal position in the traceback matrix.
// This allows checking for a substitution by a simple comparison.
h.move_up_left(true);
// Loop for finding the traceback path
// If there are several possible solutions, substitutions are preferred over InDels
// (Subst > Ins > Del)
while !h.finished() {
let op;
// This loop is used to allow skipping `move_left()` using break (kind of similar
// to 'goto'). This was done to avoid having to inline move_left() three times,
// which would use more space.
#[allow(clippy::never_loop)]
loop {
// h.print_state();
if h.left_block().dist.wrapping_add(&D::one()) == h.block().dist {
// Diagonal (substitution)
// Since the left cursor is always in the upper diagonal position,
// a simple comparison of distances is enough to determine substitutions.
h.move_up(false);
h.move_up_left(false);
op = Subst;
} else if h.block().pv & h.pos_bitvec() != T::zero() {
// Up
h.move_up(true);
h.move_up_left(true);
op = Ins;
break;
} else if h.move_left_down_if_better() {
// Left
op = Del;
} else {
// Diagonal (match)
h.move_up(false);
h.move_up_left(false);
op = Match;
}
// Moving one position to the left, adjusting h_offset
h_offset += D::one();
h.move_to_left();
break;
}
// println!("{:?}", op);
if let Some(o) = ops.as_mut() {
o.push(op);
}
}
(h_offset, dist)
}
// Useful for debugging
#[allow(dead_code)]
fn print_tb_matrix(&self, pos: usize, state_slice: &'a [State<T, D>]) {
let mut h = self.handler.init_traceback(self.m, pos, state_slice);
let m = self.m.to_usize().unwrap();
let mut out = vec![];
for _ in 0..state_slice.len() {
let mut col_out = vec![];
let mut empty = true;
for (i, state) in h.column_slice().iter().enumerate().rev() {
if !(state.is_new() || state.is_max()) {
empty = false;
}
let w = word_size::<T>();
let end = (i + 1) * w;
let n = if end <= m { w } else { m % w };
state.write_dist_column(n, &mut col_out);
}
out.push(col_out);
h.move_to_left();
if empty {
break;
}
}
for j in (0..m).rev() {
print!("{:>4}: ", m - j + 1);
for col in out.iter().rev() {
if let Some(d) = col.get(j) {
if *d >= (D::max_value() >> 1) {
// missing value
print!(" ");
} else {
print!("{:>4?}", d);
}
} else {
print!(" -");
}
}
println!();
}
}
}