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"""Representation-invariant metric helpers for the direct ezdxf task.
Metric v4 is deliberately versioned beside v2/v3. Its first validated scope is
the DISK family. The important change is that a mathematically straight edge
is scored as one edge regardless of how many contiguous DXF LINE entities were
used to encode it. Rich DIMENSION extraction also lets the evaluator verify
that displayed values agree with measured drawing geometry under one sheet
scale, instead of checking dimension text alone.
"""
from __future__ import annotations
import math
from collections import defaultdict
from pathlib import Path
from typing import Any, Iterable
import ezdxf
import numpy as np
try: # package import used by tests
from . import eval_geometric02 as EV2
from . import eval_geometric03 as EV3
except ImportError: # direct/module import used by reward workers
import eval_geometric02 as EV2
import eval_geometric03 as EV3
CANONICAL_ABS_TOL = 1e-6
CANONICAL_REL_TOL = 1e-6
DIMENSION_SCALE_INLIER_REL = 0.05
DIMENSION_SCALE_DECAY = 0.05
DISK_RATIO_DECAY = 0.12
def _visibility(layer: Any) -> str:
return "hidden" if "hidden" in str(layer).lower() else "visible"
def _clean(value: float) -> float:
value = round(float(value), 12)
return 0.0 if abs(value) < 5e-13 else value
def _empty_entities() -> dict[str, list[Any]]:
return {"lines": [], "circles": [], "arcs": [], "dims": []}
def extract_entities(dxf_path: str | Path) -> dict[str, Any] | None:
"""Extract primitives plus lossless-enough DIMENSION diagnostics.
Unlike v2, every dimension is a dictionary containing its raw ezdxf
measurement and all available definition/reference points. Measurements
are paper/model-space lengths; displayed text is usually a physical length,
so their ratio (not equality) is checked by :func:`score_dimension_consistency`.
"""
try:
doc = ezdxf.readfile(str(dxf_path))
except Exception:
return None
entities = _empty_entities()
for entity in doc.modelspace():
entity_type = entity.dxftype()
layer = entity.dxf.layer if entity.dxf.hasattr("layer") else "0"
if entity_type == "LINE":
entities["lines"].append(
(
float(entity.dxf.start.x),
float(entity.dxf.start.y),
float(entity.dxf.end.x),
float(entity.dxf.end.y),
layer,
)
)
elif entity_type == "CIRCLE":
entities["circles"].append(
(
float(entity.dxf.center.x),
float(entity.dxf.center.y),
float(entity.dxf.radius),
layer,
)
)
elif entity_type == "ARC":
entities["arcs"].append(
(
float(entity.dxf.center.x),
float(entity.dxf.center.y),
float(entity.dxf.radius),
float(entity.dxf.start_angle),
float(entity.dxf.end_angle),
layer,
)
)
elif entity_type == "DIMENSION":
dimtype = int(entity.dxf.dimtype) if entity.dxf.hasattr("dimtype") else 0
text = str(entity.dxf.text) if entity.dxf.hasattr("text") else ""
points: dict[str, tuple[float, float]] = {}
for name in (
"defpoint",
"defpoint2",
"defpoint3",
"defpoint4",
"defpoint5",
):
if entity.dxf.hasattr(name):
point = getattr(entity.dxf, name)
points[name] = (float(point.x), float(point.y))
base = dimtype & 0x0F
if base in (0, 1) and "defpoint2" in points and "defpoint3" in points:
first, second = points["defpoint2"], points["defpoint3"]
binding = ((first[0] + second[0]) / 2, (first[1] + second[1]) / 2)
elif base in (3, 4) and "defpoint4" in points:
binding = points["defpoint4"]
else:
binding = points.get("defpoint", (0.0, 0.0))
try:
measurement = float(entity.get_measurement())
if not math.isfinite(measurement):
measurement = None
except Exception:
measurement = None
text_family, display_value, _ = EV2.parse_dim_value(text)
type_family = EV2.dim_type_name(dimtype)
family = (
type_family
if type_family in {"linear", "aligned", "diameter", "radius"}
else text_family
)
entities["dims"].append(
{
"dimtype": dimtype,
"family": family,
"text": text,
"display_value": display_value,
"measurement": measurement,
"layer": layer,
"definition_point": points.get("defpoint", (0.0, 0.0)),
"binding_point": binding,
"ref_points": points,
}
)
return entities
def canonicalize_entities(
entities: dict[str, Any],
*,
abs_tol: float = CANONICAL_ABS_TOL,
rel_tol: float = CANONICAL_REL_TOL,
) -> dict[str, Any]:
"""Merge overlapping/touching collinear LINEs without bridging real gaps.
Visible and hidden geometry are isolated, while arbitrary visible layer
names are treated as representation detail. The operation is deterministic
and idempotent. Circles, arcs and rich dimensions are retained unchanged.
"""
result = {
"lines": [],
"circles": list(entities.get("circles", [])),
"arcs": list(entities.get("arcs", [])),
"dims": list(entities.get("dims", [])),
}
diagonal = EV2.bbox_diagonal(
{
"lines": list(entities.get("lines", [])),
"circles": result["circles"],
"arcs": result["arcs"],
"dims": [],
}
)
tolerance = max(float(abs_tol), float(rel_tol) * max(diagonal, 1.0))
angular_tolerance = max(1e-10, tolerance / max(diagonal, 1.0))
clusters: list[dict[str, Any]] = []
ordered_lines = sorted(
entities.get("lines", []),
key=lambda line: (
_visibility(line[4]),
min(float(line[0]), float(line[2])),
min(float(line[1]), float(line[3])),
max(float(line[0]), float(line[2])),
max(float(line[1]), float(line[3])),
str(line[4]),
),
)
for x1, y1, x2, y2, layer in ordered_lines:
first = np.asarray([float(x1), float(y1)], dtype=float)
second = np.asarray([float(x2), float(y2)], dtype=float)
delta = second - first
length = float(np.linalg.norm(delta))
if not math.isfinite(length) or length <= 1e-12:
continue
direction = delta / length
if direction[0] < -angular_tolerance or (
abs(direction[0]) <= angular_tolerance and direction[1] < 0
):
direction = -direction
normal = np.asarray([-direction[1], direction[0]], dtype=float)
offset = float(np.dot(normal, first))
visibility = _visibility(layer)
selected = None
for cluster in clusters:
if cluster["visibility"] != visibility:
continue
cross = abs(float(np.cross(cluster["direction"], direction)))
if cross > angular_tolerance:
continue
# Recompute offset using the cluster normal so reversed/nearly-equal
# directions cannot split an otherwise identical support line.
cluster_offset = float(np.dot(cluster["normal"], first))
if abs(cluster_offset - cluster["offset"]) <= tolerance:
selected = cluster
break
if selected is None:
selected = {
"visibility": visibility,
"direction": direction,
"normal": normal,
"offset": offset,
"intervals": [],
"layers": [],
}
clusters.append(selected)
start = float(np.dot(selected["direction"], first))
end = float(np.dot(selected["direction"], second))
selected["intervals"].append((min(start, end), max(start, end)))
selected["layers"].append(str(layer))
merged: list[tuple[float, float, float, float, str]] = []
for cluster in clusters:
intervals = sorted(cluster["intervals"])
if not intervals:
continue
union: list[list[float]] = [[intervals[0][0], intervals[0][1]]]
for start, end in intervals[1:]:
if start <= union[-1][1] + tolerance:
union[-1][1] = max(union[-1][1], end)
else:
union.append([start, end])
output_layer = "HIDDEN" if cluster["visibility"] == "hidden" else min(cluster["layers"])
for start, end in union:
first = cluster["direction"] * start + cluster["normal"] * cluster["offset"]
second = cluster["direction"] * end + cluster["normal"] * cluster["offset"]
merged.append(
(
_clean(first[0]),
_clean(first[1]),
_clean(second[0]),
_clean(second[1]),
output_layer,
)
)
result["lines"] = sorted(
merged,
key=lambda line: (_visibility(line[4]), *line[:4], str(line[4])),
)
return result
def _point_segment_distance(
point: tuple[float, float], line: tuple[Any, ...]
) -> float:
value = np.asarray(point, dtype=float)
first = np.asarray(line[:2], dtype=float)
second = np.asarray(line[2:4], dtype=float)
delta = second - first
denominator = float(np.dot(delta, delta))
if denominator <= 1e-18:
return float(np.linalg.norm(value - first))
fraction = float(np.dot(value - first, delta) / denominator)
projection = first + min(1.0, max(0.0, fraction)) * delta
return float(np.linalg.norm(value - projection))
def _distance_to_geometry(point: tuple[float, float], entities: dict[str, Any]) -> float:
distances: list[float] = []
for line in entities.get("lines", []):
if _visibility(line[-1]) == "visible":
distances.append(_point_segment_distance(point, line))
for cx, cy, radius, layer in entities.get("circles", []):
if _visibility(layer) == "visible":
radial = math.dist(point, (float(cx), float(cy)))
distances.append(abs(radial - abs(float(radius))))
distances.append(radial) # centre references are valid for circular dims
for cx, cy, radius, start, end, layer in entities.get("arcs", []):
if _visibility(layer) == "visible":
distances.append(abs(math.dist(point, (float(cx), float(cy))) - abs(float(radius))))
return min(distances) if distances else math.inf
def _dimension_reference_points(dimension: dict[str, Any]) -> list[tuple[float, float]]:
refs = dimension.get("ref_points") or {}
family = str(dimension.get("family", ""))
if family in {"linear", "aligned"}:
return [refs[name] for name in ("defpoint2", "defpoint3") if name in refs]
if family in {"diameter", "radius"}:
points = [refs[name] for name in ("defpoint4", "defpoint") if name in refs]
return points or list(refs.values())
return list(refs.values())
def score_dimension_consistency(entities: dict[str, Any]) -> dict[str, Any]:
"""Check shared drawing scale and whether dimensions bind to the outline."""
dimensions = entities.get("dims", [])
if not dimensions:
return {
"score": 1.0,
"n_dimensions": 0,
"n_valid": 0,
"n_invalid": 0,
"drawing_scale": None,
"scale_consistency": 1.0,
"binding_quality": 1.0,
"data_valid": True,
"items": [],
}
diagonal = max(EV2.bbox_diagonal(entities), 1.0)
binding_sigma = max(1e-6, 0.005 * diagonal)
items: list[dict[str, Any]] = []
valid_logs: list[float] = []
for dimension in dimensions:
value = dimension.get("display_value")
measurement = dimension.get("measurement")
family = str(dimension.get("family", ""))
valid = (
family in {"linear", "aligned", "diameter", "radius"}
and isinstance(value, (int, float))
and isinstance(measurement, (int, float))
and math.isfinite(float(value))
and math.isfinite(float(measurement))
and abs(float(value)) > 1e-9
and abs(float(measurement)) > 1e-9
)
ratio = abs(float(measurement) / float(value)) if valid else None
if ratio is not None and ratio > 0:
valid_logs.append(math.log(ratio))
references = _dimension_reference_points(dimension)
reference_distances = [_distance_to_geometry(point, entities) for point in references]
finite_distances = [distance for distance in reference_distances if math.isfinite(distance)]
if finite_distances:
# Every extension/reference endpoint should be attached. A mean
# prevents one valid endpoint from hiding a detached second endpoint.
binding = float(np.mean(np.exp(-np.asarray(finite_distances) / binding_sigma)))
else:
binding = 0.0
items.append(
{
"family": family,
"text": dimension.get("text", ""),
"display_value": value,
"measurement": measurement,
"scale_ratio": ratio,
"valid": bool(valid),
"binding_quality": round(binding, 6),
"reference_distance_mean": (
round(float(np.mean(finite_distances)), 6) if finite_distances else None
),
}
)
if valid_logs:
threshold = math.log1p(DIMENSION_SCALE_INLIER_REL)
candidates: list[tuple[int, float, list[float]]] = []
global_median = float(np.median(valid_logs))
for candidate in valid_logs:
inliers = [value for value in valid_logs if abs(value - candidate) <= threshold]
centre = float(np.median(inliers))
candidates.append((len(inliers), -abs(centre - global_median), inliers))
_, _, consensus = max(candidates, key=lambda value: (value[0], value[1]))
centre_log = float(np.median(consensus))
qualities = [
math.exp(-abs(value - centre_log) / DIMENSION_SCALE_DECAY)
for value in valid_logs
]
scale_consistency = float(np.mean(qualities))
drawing_scale = math.exp(centre_log)
else:
centre_log = None
scale_consistency = 0.0
drawing_scale = None
valid_index = 0
for item in items:
if item["scale_ratio"] is None or centre_log is None:
item["scale_inlier"] = False
item["scale_quality"] = 0.0
continue
log_ratio = valid_logs[valid_index]
valid_index += 1
item["scale_inlier"] = abs(log_ratio - centre_log) <= math.log1p(DIMENSION_SCALE_INLIER_REL)
item["scale_quality"] = round(
math.exp(-abs(log_ratio - centre_log) / DIMENSION_SCALE_DECAY), 6
)
binding_quality = float(np.mean([item["binding_quality"] for item in items]))
n_valid = len(valid_logs)
n_invalid = len(dimensions) - n_valid
completeness = n_valid / max(len(dimensions), 1)
score = scale_consistency * binding_quality * completeness
return {
"score": round(float(score), 6),
"n_dimensions": len(dimensions),
"n_valid": n_valid,
"n_invalid": n_invalid,
"drawing_scale": round(float(drawing_scale), 8) if drawing_scale is not None else None,
"scale_consistency": round(float(scale_consistency), 6),
"binding_quality": round(float(binding_quality), 6),
"data_valid": bool(n_invalid == 0 and scale_consistency >= 0.8),
"items": items,
}
def _connected_line_components(lines: list[tuple[Any, ...]], tolerance: float) -> list[list[tuple[Any, ...]]]:
if not lines:
return []
parent = list(range(len(lines)))
def find(index: int) -> int:
while parent[index] != index:
parent[index] = parent[parent[index]]
index = parent[index]
return index
def union(first: int, second: int) -> None:
a, b = find(first), find(second)
if a != b:
parent[b] = a
endpoints = [
(np.asarray(line[:2], dtype=float), np.asarray(line[2:4], dtype=float))
for line in lines
]
for first in range(len(lines)):
for second in range(first + 1, len(lines)):
if any(
float(np.linalg.norm(a - b)) <= tolerance
for a in endpoints[first]
for b in endpoints[second]
):
union(first, second)
groups: dict[int, list[tuple[Any, ...]]] = defaultdict(list)
for index, line in enumerate(lines):
groups[find(index)].append(line)
return list(groups.values())
def _rectangle_sides(entities: dict[str, Any]) -> list[tuple[float, float]]:
visible = [line for line in entities.get("lines", []) if _visibility(line[-1]) == "visible"]
tolerance = max(1e-6, 1e-5 * max(EV2.bbox_diagonal(entities), 1.0))
rectangles: list[tuple[float, float]] = []
for component in _connected_line_components(visible, tolerance):
points = np.asarray([point for line in component for point in (line[:2], line[2:4])], dtype=float)
low = points.min(axis=0)
high = points.max(axis=0)
width, height = float(high[0] - low[0]), float(high[1] - low[1])
if width <= tolerance or height <= tolerance:
continue
horizontal = vertical = 0.0
for x1, y1, x2, y2, _ in component:
if abs(float(y2) - float(y1)) <= tolerance:
horizontal += abs(float(x2) - float(x1))
elif abs(float(x2) - float(x1)) <= tolerance:
vertical += abs(float(y2) - float(y1))
if horizontal >= 1.8 * width and vertical >= 1.8 * height:
rectangles.append((width, height))
return rectangles
def _count_f1(predicted: int, target: int) -> float:
if predicted == 0 and target == 0:
return 1.0
if predicted == 0 or target == 0:
return 0.0
precision = min(predicted, target) / predicted
recall = min(predicted, target) / target
return 2 * precision * recall / (precision + recall)
def _disk_features(entities: dict[str, Any]) -> dict[str, Any]:
circles = [circle for circle in entities.get("circles", []) if _visibility(circle[-1]) == "visible"]
rectangles = _rectangle_sides(entities)
circle_diameter = float(np.median([2 * abs(float(circle[2])) for circle in circles])) if circles else None
diameter_sides: list[float] = []
thickness_sides: list[float] = []
if circle_diameter and circle_diameter > 1e-9:
for width, height in rectangles:
if abs(math.log(max(width, 1e-12) / circle_diameter)) <= abs(
math.log(max(height, 1e-12) / circle_diameter)
):
diameter_sides.append(width)
thickness_sides.append(height)
else:
diameter_sides.append(height)
thickness_sides.append(width)
ratios = [thickness / diameter for thickness, diameter in zip(thickness_sides, diameter_sides) if diameter > 1e-9]
return {
"n_circles": len(circles),
"n_rectangles": len(rectangles),
"circle_diameter": circle_diameter,
"diameter_sides": diameter_sides,
"thickness_sides": thickness_sides,
"thickness_ratios": ratios,
}
def score_disk_semantics(
predicted: dict[str, Any], target: dict[str, Any]
) -> dict[str, Any]:
"""Score the one-circle + two D-by-T views of a simple positive disk."""
pred = _disk_features(predicted)
gt = _disk_features(target)
applicable = gt["n_circles"] == 1 and gt["n_rectangles"] == 2 and not target.get("arcs")
gt_ratios = gt["thickness_ratios"]
data_valid = bool(
applicable
and len(gt_ratios) == 2
and all(math.isfinite(value) and value > 1e-9 for value in gt_ratios)
)
circle_count = _count_f1(pred["n_circles"], gt["n_circles"])
rectangle_count = _count_f1(pred["n_rectangles"], gt["n_rectangles"])
completeness = 0.5 * (circle_count + rectangle_count)
if not applicable:
return {
"score": 1.0,
"applicable": False,
"data_valid": False,
"diameter_score": 1.0,
"thickness_score": 1.0,
"view_completeness": round(completeness, 6),
}
if pred["circle_diameter"] and pred["diameter_sides"]:
diameter_errors = [
abs(math.log(max(value, 1e-12) / pred["circle_diameter"]))
for value in pred["diameter_sides"]
]
diameter_score = float(np.mean(np.exp(-np.asarray(diameter_errors) / DISK_RATIO_DECAY)))
else:
diameter_score = 0.0
if data_valid and pred["thickness_ratios"]:
pred_ratio = float(np.median(pred["thickness_ratios"]))
gt_ratio = float(np.median(gt_ratios))
ratio_quality = math.exp(-abs(math.log(pred_ratio / gt_ratio)) / DISK_RATIO_DECAY)
internal = float(
np.mean(
np.exp(
-np.abs(np.log(np.asarray(pred["thickness_ratios"]) / pred_ratio))
/ DISK_RATIO_DECAY
)
)
)
thickness_score = ratio_quality * internal
else:
pred_ratio = None
gt_ratio = float(np.median(gt_ratios)) if gt_ratios else None
thickness_score = 0.0
score = completeness * (0.25 * diameter_score + 0.75 * thickness_score)
return {
"score": round(float(score), 6),
"applicable": True,
"data_valid": data_valid,
"diameter_score": round(float(diameter_score), 6),
"thickness_score": round(float(thickness_score), 6),
"view_completeness": round(float(completeness), 6),
"predicted_thickness_ratio": round(pred_ratio, 8) if pred_ratio is not None else None,
"target_thickness_ratio": round(gt_ratio, 8) if gt_ratio is not None else None,
"predicted_features": pred,
"target_features": gt,
}
def legacy_dimension_entities(entities: dict[str, Any]) -> dict[str, Any]:
"""Adapt rich v4 dimensions to the v2 tuple API without losing primitives."""
converted = {
"lines": list(entities.get("lines", [])),
"circles": list(entities.get("circles", [])),
"arcs": list(entities.get("arcs", [])),
"dims": [],
}
for dimension in entities.get("dims", []):
if not isinstance(dimension, dict):
converted["dims"].append(dimension)
continue
definition = dimension.get("definition_point", (0.0, 0.0))
binding = dimension.get("binding_point", definition)
converted["dims"].append(
(
int(dimension.get("dimtype", 0)),
str(dimension.get("text", "")),
str(dimension.get("layer", "0")),
float(definition[0]),
float(definition[1]),
float(binding[0]),
float(binding[1]),
)
)
return converted
def representation_quality(raw: dict[str, Any], canonical: dict[str, Any]) -> float:
"""Continuous anti-duplication score that does not punish edge splitting."""
raw_length = sum(math.dist(line[:2], line[2:4]) for line in raw.get("lines", []))
union_length = sum(math.dist(line[:2], line[2:4]) for line in canonical.get("lines", []))
line_quality = min(1.0, union_length / raw_length) if raw_length > 1e-12 else 1.0
primitive_qualities = [line_quality]
for family in ("circles", "arcs"):
values = raw.get(family, [])
if values:
keys = {
tuple(round(float(item), 8) if isinstance(item, (int, float)) else str(item) for item in value)
for value in values
}
primitive_qualities.append(len(keys) / len(values))
return float(np.mean(primitive_qualities))
__all__ = [
"canonicalize_entities",
"extract_entities",
"legacy_dimension_entities",
"representation_quality",
"score_dimension_consistency",
"score_disk_semantics",
]
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