"""Spatial utilities: box merging, word placement, reading order, split-line detection.""" from __future__ import annotations import math from typing import Any, Sequence from geometry import Box, polygon_bounds from models import Word, AnnotationBox, PredictedRow SPLIT_LINE_VERTICAL_OVERLAP_THRESHOLD = 0.5 SPLIT_LINE_HORIZONTAL_OVERLAP_TOLERANCE_RATIO = 0.25 SPLIT_LINE_MAX_GAP_HEIGHT_MULTIPLIER = 2.0 LINE_END_HYPHENS = "-֊‐‑‒–—" MULTI_BOX_SINGLE_COLUMN_LOCATION_THRESHOLD = 0.8 MULTI_BOX_SINGLE_COLUMN_OVERLAP_THRESHOLD = 0.8 MULTI_BOX_OVERLAP_TIE_TOLERANCE = 0.05 MULTI_BOX_BEGINNING_BOX_OVERLAP_TOLERANCE = 0.25 MULTI_BOX_BEGINNING_BOX_MIN_LEADING_WORDS = 2 MULTI_BOX_BEGINNING_BOX_MIN_COVERAGE = 0.35 BOX_LINE_VERTICAL_OVERLAP_THRESHOLD = 0.60 READING_ORDER_ROW_OVERLAP_THRESHOLD = 0.5 READING_ORDER_COLUMN_OVERLAP_THRESHOLD = 0.5 def merge_boxes(boxes: list[Box]) -> Box: return Box( x_min=min(box.x_min for box in boxes), y_min=min(box.y_min for box in boxes), x_max=max(box.x_max for box in boxes), y_max=max(box.y_max for box in boxes), ) def row_box(predicted_row: PredictedRow) -> Box: return merge_boxes([word.box for word in predicted_row.words]) def interval_overlap( start_a: float, end_a: float, start_b: float, end_b: float ) -> float: return max(0.0, min(end_a, end_b) - max(start_a, start_b)) def point_to_box_local_coordinates( point: tuple[float, float], annotation_box: AnnotationBox, ) -> tuple[float, float]: origin_x = annotation_box.rect.x_min origin_y = annotation_box.rect.y_min rotation_radians = math.radians(annotation_box.rotation) cos_theta = math.cos(rotation_radians) sin_theta = math.sin(rotation_radians) delta_x = point[0] - origin_x delta_y = point[1] - origin_y return ( delta_x * cos_theta + delta_y * sin_theta, -delta_x * sin_theta + delta_y * cos_theta, ) def box_to_local_bounds(box: Box, annotation_box: AnnotationBox) -> Box: local_points = [ point_to_box_local_coordinates(point, annotation_box) for point in box.to_polygon() ] return polygon_bounds(local_points) def word_local_center( word: Word, annotation_box: AnnotationBox ) -> tuple[float, float]: return point_to_box_local_coordinates(word.center, annotation_box) def local_box_to_list(box: Box) -> list[float]: return [ round(box.x_min, 3), round(box.y_min, 3), round(box.x_max, 3), round(box.y_max, 3), ] def rounded_box(box: Box) -> list[float]: return [round(value, 3) for value in box.to_list()] def report_box(box_values: list[float]) -> Box: return Box( x_min=float(box_values[0]), y_min=float(box_values[1]), x_max=float(box_values[2]), y_max=float(box_values[3]), ) def edge_words_in_box( predicted_row: PredictedRow, annotation_box: AnnotationBox, ) -> tuple[dict[str, Any] | None, dict[str, Any] | None]: edge_words: list[dict[str, Any]] = [] for index, word in enumerate(predicted_row.words): local_box = box_to_local_bounds(word.box, annotation_box) edge_words.append( { "index": index, "text": word.text, "global_box": [round(value, 3) for value in word.box.to_list()], "local_box": local_box, } ) if not edge_words: return (None, None) first_word = min( edge_words, key=lambda item: (item["local_box"].x_min, item["index"]) ) last_word = max( edge_words, key=lambda item: (item["local_box"].x_max, -item["index"]) ) return (first_word, last_word) def word_coverage_in_box(word: Word, annotation_box: AnnotationBox) -> float: center_x, center_y = word.center return 1.0 if annotation_box.contains_point(center_x, center_y) else 0.0 def word_overlap_coverage_in_box(word: Word, annotation_box: AnnotationBox) -> float: if word.box.area <= 0: return 0.0 overlap_area = annotation_box.overlap_area_with_box(word.box) return overlap_area / word.box.area def word_non_overlapping_area(word: Word, annotation_box: AnnotationBox) -> float: overlap_area = annotation_box.overlap_area_with_box(word.box) return max(0.0, word.box.area - overlap_area) def non_empty_words(predicted_row: PredictedRow) -> list[Word]: return [word for word in predicted_row.words if word.text.strip()] def uncovered_words_against_box( predicted_row: PredictedRow, annotation_box: AnnotationBox, ) -> list[dict[str, Any]]: uncovered_words: list[dict[str, Any]] = [] for word in non_empty_words(predicted_row): if word_coverage_in_box(word, annotation_box) >= 1.0: continue non_overlapping_area = word_non_overlapping_area(word, annotation_box) uncovered_words.append( { "text": word.text, "word_box": [round(value, 3) for value in word.box.to_list()], "non_overlapping_area": round(non_overlapping_area, 6), "non_overlapping_fraction": ( round(non_overlapping_area / word.box.area, 6) if word.box.area > 0 else 0.0 ), "overlap_coverage": round( word_overlap_coverage_in_box(word, annotation_box), 6 ), } ) return uncovered_words def single_uncovered_word_against_box( predicted_row: PredictedRow, annotation_box: AnnotationBox, ) -> dict[str, Any] | None: uncovered_words = uncovered_words_against_box(predicted_row, annotation_box) if len(uncovered_words) != 1: return None return uncovered_words[0] def row_location_coverage( predicted_row: PredictedRow, annotation_box: AnnotationBox ) -> float: words = non_empty_words(predicted_row) total_words = len(words) if total_words == 0: return 0.0 matched_words = sum(word_coverage_in_box(word, annotation_box) for word in words) return matched_words / total_words def row_overlap_coverage( predicted_row: PredictedRow, annotation_box: AnnotationBox ) -> float: words = non_empty_words(predicted_row) total_area = sum(word.box.area for word in words) if total_area <= 0: return 0.0 covered_area = 0.0 for word in words: covered_area += annotation_box.overlap_area_with_box(word.box) return covered_area / total_area def classify_row(touched_box_ids: list[str], all_word_box_ids: list[str]) -> str: if not touched_box_ids: return "no_box" if len(all_word_box_ids) == 1 and len(touched_box_ids) == 1: return "exactly_one_box" if len(touched_box_ids) > 1 or len(all_word_box_ids) > 1: return "multiple_boxes" return "no_box" def best_box_detail_for_multiple_row( per_box_details: list[dict[str, Any]], ) -> dict[str, Any] | None: if not per_box_details: return None strongest_match = max( per_box_details, key=lambda item: ( item["overlap_coverage"], item["coverage"], item["matched_words"], -item["first_word_index"], item["leading_word_count"], item["box_id"], ), ) beginning_match = min( per_box_details, key=lambda item: ( item["first_word_index"], -item["leading_word_count"], -item["coverage"], -item["overlap_coverage"], item["box_id"], ), ) if ( beginning_match["first_word_index"] == 0 and ( beginning_match["leading_word_count"] >= MULTI_BOX_BEGINNING_BOX_MIN_LEADING_WORDS or beginning_match["coverage"] >= MULTI_BOX_BEGINNING_BOX_MIN_COVERAGE ) and strongest_match["overlap_coverage"] - beginning_match["overlap_coverage"] <= MULTI_BOX_BEGINNING_BOX_OVERLAP_TOLERANCE ): return beginning_match tied_matches = [ item for item in per_box_details if strongest_match["overlap_coverage"] - item["overlap_coverage"] <= MULTI_BOX_OVERLAP_TIE_TOLERANCE ] return max( tied_matches, key=lambda item: ( item["leading_word_count"], -item["first_word_index"], item["matched_words"], item["coverage"], item["overlap_coverage"], item["box_id"], ), ) def box_detail_meets_single_box_threshold( box_detail: dict[str, Any] | None, ) -> bool: if box_detail is None: return False return ( box_detail["coverage"] >= MULTI_BOX_SINGLE_COLUMN_LOCATION_THRESHOLD or box_detail["overlap_coverage"] >= MULTI_BOX_SINGLE_COLUMN_OVERLAP_THRESHOLD ) def treat_multiple_row_as_single_box(per_box_details: list[dict[str, Any]]) -> bool: best_match = best_box_detail_for_multiple_row(per_box_details) return box_detail_meets_single_box_threshold(best_match) def _fix_armenian_yev_at_join(prev: str, next_line: str) -> tuple[str, str]: """Replace ե-|վ split across a hyphenation boundary with the ligature և.""" if prev.endswith("ե") and next_line.startswith("վ"): prev = prev[:-1] + "և" next_line = next_line[1:] return prev, next_line def join_box_lines_with_hyphenation( line_texts: list[str], ) -> tuple[str, frozenset[int]]: """Join lines, stripping line-end hyphens. Returns (text, hyphen_join_word_indices) where hyphen_join_word_indices is the set of word indices (in the space-normalised result) whose text was formed by merging across a hyphen boundary. Callers that only need the text can unpack with ``text, _ = join_box_lines_with_hyphenation(...)``. """ merged_lines: list[str] = [] words_before_current: int = 0 # word count of all finalized lines hyphen_join_word_indices: set[int] = set() for line_text in line_texts: normalized_line = normalize_whitespace(line_text) if not normalized_line: continue if merged_lines and merged_lines[-1].rstrip().endswith( tuple(LINE_END_HYPHENS) ): prev = merged_lines[-1].rstrip()[:-1] next_line = normalized_line.lstrip() prev, next_line = _fix_armenian_yev_at_join(prev, next_line) words_in_prev = len(prev.split()) if words_in_prev > 0: hyphen_join_word_indices.add(words_before_current + words_in_prev - 1) merged_lines[-1] = prev + next_line else: if merged_lines: words_before_current += len(merged_lines[-1].split()) merged_lines.append(normalized_line) return "\n".join(merged_lines), frozenset(hyphen_join_word_indices) def local_boxes_share_line(left: Box, right: Box) -> bool: min_height = min(left.height, right.height) if min_height <= 0: return False vertical_overlap = interval_overlap( left.y_min, left.y_max, right.y_min, right.y_max ) vertical_overlap_ratio = vertical_overlap / min_height return vertical_overlap_ratio >= BOX_LINE_VERTICAL_OVERLAP_THRESHOLD def horizontal_overlap_ratio(left: Box, right: Box) -> float: min_width = min(left.width, right.width) if min_width <= 0: return 0.0 return ( interval_overlap(left.x_min, left.x_max, right.x_min, right.x_max) / min_width ) def row_sequence_prefix(row_id: str) -> str: parts = row_id.split("_", 1) return parts[0] def boxes_share_reading_row(left: Box, right: Box) -> bool: min_height = min(left.height, right.height) if min_height <= 0: return False vertical_overlap = interval_overlap( left.y_min, left.y_max, right.y_min, right.y_max ) return (vertical_overlap / min_height) >= READING_ORDER_ROW_OVERLAP_THRESHOLD def boxes_share_reading_column(left: Box, right: Box) -> bool: min_width = min(left.width, right.width) if min_width <= 0: return False horizontal_overlap = interval_overlap( left.x_min, left.x_max, right.x_min, right.x_max ) return ( horizontal_overlap / min_width ) >= READING_ORDER_COLUMN_OVERLAP_THRESHOLD def _group_items_spatially( items: Sequence[Any], box_getter: Any, primary_axis: str, ) -> list[list[Any]]: ltr = primary_axis == "x" shares_band = boxes_share_reading_column if ltr else boxes_share_reading_row primary_sort = ( (lambda b: (b.x_min, b.y_min, b.x_max, b.y_max)) if ltr else (lambda b: (b.y_min, b.x_min, b.y_max, b.x_max)) ) secondary_sort = ( (lambda b: (b.y_min, b.x_min, b.y_max, b.x_max)) if ltr else (lambda b: (b.x_min, b.x_max, b.y_min, b.y_max)) ) center = ( (lambda b: (b.x_min + b.x_max) / 2.0) if ltr else (lambda b: (b.y_min + b.y_max) / 2.0) ) ordered_items = sorted(items, key=lambda item: primary_sort(box_getter(item))) groups: list[dict[str, Any]] = [] for item in ordered_items: item_box = box_getter(item) best_group: dict[str, Any] | None = None best_distance = float("inf") for group in groups: if not shares_band(group["box"], item_box): continue distance = abs(center(group["box"]) - center(item_box)) if distance < best_distance: best_distance = distance best_group = group if best_group is None: groups.append({"items": [item], "box": item_box}) else: best_group["items"].append(item) best_group["box"] = merge_boxes([best_group["box"], item_box]) return [ sorted(g["items"], key=lambda item: secondary_sort(box_getter(item))) for g in sorted(groups, key=lambda g: primary_sort(g["box"])) ] def group_items_left_to_right_top_to_bottom( items: Sequence[Any], box_getter: Any ) -> list[list[Any]]: return _group_items_spatially(items, box_getter, "x") def flatten_text_units(text_units: list[str]) -> str: flattened_units: list[str] = [] for text_unit in text_units: unit_lines = split_text_lines(text_unit) if not unit_lines: continue text, _ = join_box_lines_with_hyphenation(unit_lines) flattened_units.append(text) return "\n".join(flattened_units) def detect_split_line_pair( left_row: dict[str, Any], right_row: dict[str, Any], left_predicted_row: PredictedRow, right_predicted_row: PredictedRow, annotation_box: AnnotationBox, ) -> dict[str, Any] | None: left_first_word, left_last_word = edge_words_in_box( left_predicted_row, annotation_box ) right_first_word, right_last_word = edge_words_in_box( right_predicted_row, annotation_box ) if ( left_first_word is None or left_last_word is None or right_first_word is None or right_last_word is None ): return None left_last_local_box = left_last_word["local_box"] right_first_local_box = right_first_word["local_box"] vertical_overlap = interval_overlap( left_last_local_box.y_min, left_last_local_box.y_max, right_first_local_box.y_min, right_first_local_box.y_max, ) min_height = min(left_last_local_box.height, right_first_local_box.height) if min_height <= 0: return None vertical_overlap_ratio = vertical_overlap / min_height if vertical_overlap_ratio < SPLIT_LINE_VERTICAL_OVERLAP_THRESHOLD: return None horizontal_gap = right_first_local_box.x_min - left_last_local_box.x_max if horizontal_gap < ( -SPLIT_LINE_HORIZONTAL_OVERLAP_TOLERANCE_RATIO * min_height ): return None if horizontal_gap > SPLIT_LINE_MAX_GAP_HEIGHT_MULTIPLIER * max( left_last_local_box.height, right_first_local_box.height, ): return None return { "box_id": annotation_box.box_id, "left_row_id": left_row["row_id"], "right_row_id": right_row["row_id"], "horizontal_gap": round(horizontal_gap, 6), "vertical_overlap_ratio": round(vertical_overlap_ratio, 6), "left_row_text": left_row["row_text"], "right_row_text": right_row["row_text"], "left_last_word_text": left_last_word["text"], "right_first_word_text": right_first_word["text"], "left_last_word_box": left_last_word["global_box"], "right_first_word_box": right_first_word["global_box"], "left_last_word_local_box": local_box_to_list(left_last_local_box), "right_first_word_local_box": local_box_to_list(right_first_local_box), } def split_line_row_order_key( predicted_row: PredictedRow, annotation_box: AnnotationBox, ) -> tuple[float, float, float, float, str]: if not predicted_row.words: return ( float("inf"), float("inf"), float("inf"), float("inf"), predicted_row.row_id, ) local_bounds = box_to_local_bounds(row_box(predicted_row), annotation_box) return ( local_bounds.x_min, local_bounds.x_max, local_bounds.y_min, local_bounds.y_max, predicted_row.row_id, ) def order_words_in_box_context( words: list[Word], annotation_box: AnnotationBox ) -> list[Word]: return sorted( list(words), key=lambda word: ( point_to_box_local_coordinates(word.center, annotation_box)[0], point_to_box_local_coordinates(word.center, annotation_box)[1], word.box.x_min, word.box.y_min, ), ) def words_in_box(predicted_row: PredictedRow, annotation_box: AnnotationBox) -> list[Word]: words = [ word for word in predicted_row.words if annotation_box.contains_point(word.center[0], word.center[1]) ] return order_words_in_box_context(words, annotation_box) def sorted_row_words(predicted_row: PredictedRow) -> list[Word]: return sorted( predicted_row.words, key=lambda word: ( word.box.y_min, word.box.x_min, word.box.x_max, word.text, ), ) def normalize_whitespace(text: str) -> str: return " ".join(text.split()) def split_text_lines(text: str) -> list[str]: return [ normalize_whitespace(line) for line in text.splitlines() if normalize_whitespace(line) ]