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| """Reasoning-step segmentation and exact character -> token alignment. | |
| A response is partitioned into contiguous segments that cover every character: | |
| segment 0..T-1 : reasoning steps (any preamble before "Step 1:" is merged into the first step) | |
| segment T : the terminal segment (the "Final answer:" line and anything after it) | |
| Steps are delimited by "Step k:" markers (as in skill_dynamics.scoring.segment). When a | |
| response has no markers, paragraphs separated by blank lines are used instead and | |
| `marker_found` is False, so the fallback rate can be monitored. | |
| """ | |
| import re | |
| from dataclasses import dataclass, field | |
| # Line openers seen in real samples: "Step 1:", "Step 1.", "**Step 1:**", "**Step 1**:", "### Step 1:", | |
| # "- Step 1:", "*Step 1:*". The final answer may also carry a step marker ("Step 6: Final answer: ..."). | |
| _OPEN = r"^[ \t]*(?:[-+>][ \t]*)?(?:#{1,6}[ \t]*)?(?:\*{1,2}|_{1,2})?[ \t]*" | |
| _EMPH = r"[ \t]*(?:\*{1,2}|_{1,2})?[ \t]*" | |
| STEP_RE = re.compile(r"(?im)" + _OPEN + r"Step[ \t]+(\d+)" + _EMPH + r"[:.](?:[ \t]*(?:\*{1,2}|_{1,2}))?") | |
| FINAL_PREFIX = _OPEN + r"(?:Step[ \t]+\d+" + _EMPH + r"[:.]" + _EMPH + r")?Final answer" + _EMPH + r":" | |
| FINAL_RE = re.compile(r"(?im)" + FINAL_PREFIX) | |
| class Segmentation: | |
| text: str | |
| steps: list = field(default_factory=list) # [(char_start, char_end)] covering [0, final_start) | |
| final_start: int = 0 # start of the terminal segment | |
| marker_found: bool = True | |
| content_start: int = 0 # first step marker (preamble excluded), as in skill_dynamics | |
| content_token: int = 0 # token index of content_start (set by response_segments) | |
| def num_steps(self): | |
| return len(self.steps) | |
| def step_texts(self): | |
| return [self.text[a:b] for a, b in self.steps] | |
| def bounds(self): | |
| """Segment boundaries: steps then the terminal segment, covering the whole text.""" | |
| return [*self.steps, (self.final_start, len(self.text))] | |
| def segment(text): | |
| final = None | |
| for match in FINAL_RE.finditer(text): | |
| final = match | |
| stop = final.start() if final else len(text) | |
| body = text[:stop] | |
| marks = [m for m in STEP_RE.finditer(body)] | |
| starts = [] | |
| for m in marks: | |
| if not starts or m.start() > starts[-1]: | |
| starts.append(m.start()) | |
| marker_found = bool(starts) | |
| if not marker_found: | |
| # paragraphs start at their line start (with any indentation), where tokenizers put a token edge | |
| starts = [len(body[:m.start()].rstrip(" \t")) for m in re.finditer(r"(?s)\S.*?(?=\n[ \t]*\n|\Z)", body)] | |
| # Drop empty steps, merge any preamble into the first step. | |
| bounds = [] | |
| for i, start in enumerate(starts): | |
| end = starts[i + 1] if i + 1 < len(starts) else stop | |
| if body[start:end].strip(): | |
| bounds.append([start, end]) | |
| content_start = bounds[0][0] if bounds else 0 | |
| if bounds: | |
| bounds[0][0] = 0 | |
| bounds[-1][1] = stop | |
| return Segmentation(text=text, steps=[tuple(b) for b in bounds], final_start=stop if bounds else 0, | |
| marker_found=marker_found, content_start=content_start) | |
| def _byte_decoder(): | |
| # GPT-2 / tiktoken-style byte-level BPE alphabet (used by Qwen2.5 and Llama-3 tokenizers). | |
| bs = list(range(ord("!"), ord("~") + 1)) + list(range(ord("¡"), ord("¬") + 1)) + list(range(ord("®"), ord("ÿ") + 1)) | |
| cs = bs[:] | |
| n = 0 | |
| for b in range(256): | |
| if b not in bs: | |
| bs.append(b) | |
| cs.append(256 + n) | |
| n += 1 | |
| return {chr(c): b for b, c in zip(bs, cs)} | |
| _BYTE_DECODER = _byte_decoder() | |
| def token_char_offsets(tokenizer, ids): | |
| """Character offset of each token boundary in decode(ids, skip_special_tokens=True, | |
| clean_up_tokenization_spaces=False). Returns (text, offsets) with len(offsets) == len(ids)+1.""" | |
| text = tokenizer.decode(ids, skip_special_tokens=True, clean_up_tokenization_spaces=False) | |
| special = set(getattr(tokenizer, "all_special_ids", []) or []) | |
| pieces = tokenizer.convert_ids_to_tokens(list(ids)) | |
| try: | |
| byte_lens = [] | |
| for tid, piece in zip(ids, pieces): | |
| if tid in special or piece is None: | |
| byte_lens.append(0) | |
| else: | |
| byte_lens.append(len(bytes(_BYTE_DECODER[ch] for ch in piece))) | |
| data = text.encode("utf-8") | |
| if sum(byte_lens) != len(data): | |
| raise ValueError("byte-level reconstruction mismatch") | |
| # Map every byte boundary to a character boundary (bytes inside a multi-byte char map | |
| # to the start of that char's next boundary, so spans never split a character). | |
| char_at_byte = [0] * (len(data) + 1) | |
| pos = 0 | |
| for ci, ch in enumerate(text): | |
| width = len(ch.encode("utf-8")) | |
| for k in range(width): | |
| char_at_byte[pos + k] = ci if k == 0 else ci + 1 | |
| pos += width | |
| char_at_byte[len(data)] = len(text) | |
| offsets, acc = [0], 0 | |
| for length in byte_lens: | |
| acc += length | |
| offsets.append(char_at_byte[acc]) | |
| return text, offsets | |
| except (KeyError, ValueError): | |
| offsets = [len(tokenizer.decode(ids[:i], skip_special_tokens=True, clean_up_tokenization_spaces=False)) | |
| for i in range(len(ids) + 1)] | |
| return text, offsets | |
| def char_spans_to_token_spans(offsets, char_spans): | |
| """Map contiguous character spans to contiguous token spans [t0, t1). A token belongs to the | |
| span containing its first character; spans that receive no token are returned empty.""" | |
| import bisect | |
| n_tokens = len(offsets) - 1 | |
| starts = [offsets[i] for i in range(n_tokens)] | |
| out = [] | |
| for a, b in char_spans: | |
| t0 = bisect.bisect_left(starts, a) | |
| t1 = bisect.bisect_left(starts, b) | |
| out.append((t0, t1)) | |
| return out | |
| def response_segments(tokenizer, ids): | |
| """Segmentation of a generated response plus token spans for every segment (steps + terminal). | |
| Tokens are assigned in order, so spans tile [0, len(ids)) exactly. Also returns the token index | |
| where reasoning content starts (first step marker), used by the spectral features.""" | |
| text, offsets = token_char_offsets(tokenizer, ids) | |
| seg = segment(text) | |
| spans = char_spans_to_token_spans(offsets, seg.bounds()) | |
| if spans: | |
| spans[-1] = (spans[-1][0], len(ids)) | |
| spans = [(spans[i][0], spans[i + 1][0]) for i in range(len(spans) - 1)] + [spans[-1]] | |
| if spans[0][0] != 0: | |
| spans[0] = (0, spans[0][1]) | |
| content_tok = char_spans_to_token_spans(offsets, [(seg.content_start, seg.content_start)])[0][0] | |
| if seg.num_steps: | |
| content_tok = min(content_tok, max(spans[0][1] - 1, 0)) | |
| seg.content_token = content_tok | |
| return seg, spans | |