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import math
import os
import re
from dataclasses import dataclass, field
from pathlib import Path
DEFAULT_TARGET = r"C:\Users\User\Desktop"
TARGET = Path(os.environ.get("EVAL_TARGET_DIR", os.environ.get("OUTPUT_ROOT", DEFAULT_TARGET)))
OUTPUT_NAME = "task-13.nc"
WORD_RE = re.compile(r"([A-Z])\s*([+-]?(?:\d+(?:\.\d*)?|\.\d+))", re.IGNORECASE)
COMMENT_RE = re.compile(r"\([^()]*\)")
LINEAR_TOL = 1.5
Z_TOL = 0.65
@dataclass
class Record:
line: int
section: int
motion: int
start: dict[str, float | None]
end: dict[str, float | None]
explicit: dict[str, float]
tool: int
wcs: str | None
operation: str | None
spindle_on: bool
feed: float | None
explicit_feed: float | None
cutter_comp: int | None
tool_diameter: float | None
@dataclass
class Section:
tool: int
tool_diameter: float | None
records: list[Record] = field(default_factory=list)
has_g43: bool = False
@dataclass
class Program:
records: list[Record] = field(default_factory=list)
sections: list[Section] = field(default_factory=list)
units_seen: set[int] = field(default_factory=set)
axes_seen: set[str] = field(default_factory=set)
m_codes_seen: set[int] = field(default_factory=set)
m30_lines: list[int] = field(default_factory=list)
code_lines: list[str] = field(default_factory=list)
@dataclass
class Rectangle:
z: float
section: int
center: tuple[float, float]
axis: tuple[float, float]
normal: tuple[float, float]
long_dim: float
short_dim: float
compensated: bool
tool_diameter: float | None
@dataclass
class FacePattern:
z: float
tracks: int
along_span: float
cross_span: float
tool_diameter: float | None
def close(left: float, right: float, tolerance: float = LINEAR_TOL) -> bool:
return abs(float(left) - float(right)) <= tolerance
def code_only(raw: str) -> str:
return COMMENT_RE.sub(" ", raw.upper()).split(";", 1)[0]
def operation_from_comments(raw: str, current: str | None) -> str | None:
for comment in COMMENT_RE.findall(raw.upper()):
if re.search(r"\b(?:CONTOUR|PROFILE)\b", comment):
current = "profile"
elif re.search(r"\bFACE(?:\s+MILL(?:ING)?)?\b", comment):
current = "face"
return current
def diameter_from_comments(raw: str) -> float | None:
for comment in COMMENT_RE.findall(raw.upper()):
metric = re.search(r"\b(\d+(?:\.\d+)?)\s*MM\b", comment)
if metric:
candidate = float(metric.group(1))
return candidate if 1.0 <= candidate <= 100.0 else None
inch = re.search(r"\b(\d+(?:\.\d+)?)\s*(?:IN|INCH)\b", comment)
if inch:
candidate = float(inch.group(1)) * 25.4
return candidate if 1.0 <= candidate <= 100.0 else None
body = comment[1:-1].strip()
fraction = re.search(r"^(\d{1,2})\s*/\s*(\d{1,2})\s+(?:EM|END\s+MILL)\b", body)
if fraction:
numerator, denominator = map(int, fraction.groups())
if (
denominator in {2, 4, 8, 16, 32, 64}
and 0 < numerator < denominator
and math.gcd(numerator, denominator) == 1
):
candidate = numerator / denominator * 25.4
return candidate if 1.0 <= candidate <= 100.0 else None
return None
def parse_program(source: str) -> Program:
program = Program()
position: dict[str, float | None] = {"x": None, "y": None, "z": None}
unit_scale: float | None = None
absolute = True
wcs: str | None = None
operation: str | None = None
pending_tool_diameter: float | None = None
pending_tool_diameter_line: int | None = None
pending_tool: int | None = None
current_tool: int | None = None
section_index: int | None = None
modal_motion: int | None = None
spindle_on = False
modal_feed: float | None = None
cutter_comp: int | None = None
for line_number, raw in enumerate(source.splitlines()):
operation = operation_from_comments(raw, operation)
diameter_hint = diameter_from_comments(raw)
if diameter_hint is not None:
pending_tool_diameter = diameter_hint
pending_tool_diameter_line = line_number
code = code_only(raw)
program.code_lines.append(code)
words = [(letter.upper(), float(value)) for letter, value in WORD_RE.findall(code)]
if not words:
continue
g_codes = [int(round(value)) for letter, value in words if letter == "G"]
m_codes = [int(round(value)) for letter, value in words if letter == "M"]
program.m_codes_seen.update(m_codes)
if 20 in g_codes:
unit_scale = 25.4
program.units_seen.add(20)
if 21 in g_codes:
unit_scale = 1.0
program.units_seen.add(21)
if 90 in g_codes:
absolute = True
if 91 in g_codes:
absolute = False
for value in g_codes:
if 54 <= value <= 59:
wcs = f"G{value}"
for letter, value in words:
if letter == "T":
pending_tool = int(round(value))
if letter in {"X", "Y", "Z", "A", "B", "C", "U", "V", "W"}:
program.axes_seen.add(letter)
if 6 in m_codes:
if pending_tool is None or pending_tool <= 0:
raise ValueError("M6 without a valid tool")
current_tool = pending_tool
recent_diameter = (
pending_tool_diameter
if pending_tool_diameter_line is not None and line_number - pending_tool_diameter_line <= 3
else None
)
program.sections.append(Section(current_tool, recent_diameter))
section_index = len(program.sections) - 1
pending_tool_diameter = None
pending_tool_diameter_line = None
spindle_on = False
cutter_comp = None
if 3 in m_codes or 4 in m_codes:
spindle_on = True
if 5 in m_codes:
spindle_on = False
if 30 in m_codes:
program.m30_lines.append(line_number)
if 43 in g_codes and section_index is not None:
program.sections[section_index].has_g43 = True
if 40 in g_codes:
cutter_comp = None
if 41 in g_codes or 42 in g_codes:
cutter_comp = 41 if 41 in g_codes else 42
if 80 in g_codes:
modal_motion = None
explicit_motion = next((value for value in g_codes if value in {0, 1, 2, 3}), None)
if explicit_motion is not None:
modal_motion = explicit_motion
converted: dict[str, float] = {}
if unit_scale is not None:
converted = {
letter.lower(): value * unit_scale
for letter, value in words
if letter in {"X", "Y", "Z", "I", "J", "K", "R"}
}
feeds = [value * unit_scale for letter, value in words if letter == "F"]
if feeds:
modal_feed = feeds[-1]
explicit_feed = feeds[-1] if unit_scale is not None and feeds else None
machine_coordinate = 53 in g_codes or 28 in g_codes or 30 in g_codes
start = dict(position)
if not machine_coordinate and unit_scale is not None:
for axis in ("x", "y", "z"):
if axis not in converted:
continue
if absolute:
position[axis] = converted[axis]
elif position[axis] is not None:
position[axis] += converted[axis]
else:
raise ValueError("incremental motion before a known work position")
if machine_coordinate or current_tool is None or section_index is None or modal_motion is None:
continue
if not any(axis in converted for axis in ("x", "y", "z")) and not (
modal_motion in {2, 3} and any(axis in converted for axis in ("i", "j", "r"))
):
continue
record = Record(
line_number,
section_index,
modal_motion,
start,
dict(position),
converted,
current_tool,
wcs,
operation,
spindle_on,
modal_feed,
explicit_feed,
cutter_comp,
program.sections[section_index].tool_diameter,
)
program.records.append(record)
program.sections[section_index].records.append(record)
return program
def point(record: Record, which: str = "end") -> tuple[float, float] | None:
state = record.start if which == "start" else record.end
if state["x"] is None or state["y"] is None:
return None
return float(state["x"]), float(state["y"])
def xy_length(record: Record) -> float:
start, end = point(record, "start"), point(record)
return 0.0 if start is None or end is None else math.dist(start, end)
def is_xy_cut(record: Record) -> bool:
return record.motion in {1, 2, 3} and (
xy_length(record) > 1.0e-6
or (record.motion in {2, 3} and any(axis in record.explicit for axis in ("i", "j", "r")))
)
def project(value: tuple[float, float], axis: tuple[float, float]) -> float:
return value[0] * axis[0] + value[1] * axis[1]
def cluster_tracks(items: list[tuple[float, float, float]], tolerance: float = 1.2):
clusters: list[dict[str, object]] = []
for fixed, low, high in sorted(items):
target = next((item for item in clusters if abs(float(item["fixed"]) - fixed) <= tolerance), None)
if target is None:
clusters.append({"fixed": fixed, "values": [fixed], "intervals": [(low, high)]})
else:
values = target["values"]
intervals = target["intervals"]
assert isinstance(values, list) and isinstance(intervals, list)
values.append(fixed)
intervals.append((low, high))
target["fixed"] = sum(values) / len(values)
return clusters
def covered_fraction(intervals: list[tuple[float, float]], low: float, high: float) -> float:
clipped = sorted((max(low, a), min(high, b)) for a, b in intervals if min(high, b) > max(low, a))
if not clipped or high <= low:
return 0.0
merged: list[list[float]] = []
for left, right in clipped:
if not merged or left > merged[-1][1] + 1.0:
merged.append([left, right])
else:
merged[-1][1] = max(merged[-1][1], right)
return sum(right - left for left, right in merged) / (high - low)
def rectangles_at_level(records: list[Record], z: float, section: int) -> list[Rectangle]:
straight = [
record
for record in records
if record.section == section
and record.motion == 1
and record.end["z"] is not None
and close(float(record.end["z"]), z, 0.3)
and xy_length(record) >= 8.0
]
found: list[Rectangle] = []
for seed in straight:
start, end = point(seed, "start"), point(seed)
assert start is not None and end is not None
delta = (end[0] - start[0], end[1] - start[1])
length = math.hypot(*delta)
axis = (delta[0] / length, delta[1] / length)
normal = (-axis[1], axis[0])
along: list[tuple[float, float, float]] = []
across: list[tuple[float, float, float]] = []
for record in straight:
left, right = point(record, "start"), point(record)
assert left is not None and right is not None
vector = (right[0] - left[0], right[1] - left[1])
segment_length = math.hypot(*vector)
if segment_length <= 1.0e-9:
continue
direction = (vector[0] / segment_length, vector[1] / segment_length)
if abs(direction[0] * axis[0] + direction[1] * axis[1]) >= 0.995:
values = sorted((project(left, axis), project(right, axis)))
along.append(((project(left, normal) + project(right, normal)) / 2.0, *values))
elif abs(direction[0] * normal[0] + direction[1] * normal[1]) >= 0.995:
values = sorted((project(left, normal), project(right, normal)))
across.append(((project(left, axis) + project(right, axis)) / 2.0, *values))
u_tracks, v_tracks = cluster_tracks(along), cluster_tracks(across)
for first_u_index, first_u in enumerate(u_tracks):
for second_u in u_tracks[first_u_index + 1 :]:
v_low, v_high = sorted((float(first_u["fixed"]), float(second_u["fixed"])))
for first_v_index, first_v in enumerate(v_tracks):
for second_v in v_tracks[first_v_index + 1 :]:
u_low, u_high = sorted((float(first_v["fixed"]), float(second_v["fixed"])))
dimensions = sorted((u_high - u_low, v_high - v_low), reverse=True)
compensated = any(record.cutter_comp in {41, 42} for record in straight)
diameter = next((record.tool_diameter for record in straight if record.tool_diameter), None)
nominal_path = close(dimensions[0], 70.0, 3.0) and close(dimensions[1], 50.0, 3.0)
tool_center_offset_path = (
diameter is not None
and close(dimensions[0], 70.0 + diameter, 3.0)
and close(dimensions[1], 50.0 + diameter, 3.0)
)
if not (nominal_path or tool_center_offset_path):
continue
edge_items = (first_u, second_u, first_v, second_v)
spans = (
covered_fraction(first_u["intervals"], u_low, u_high),
covered_fraction(second_u["intervals"], u_low, u_high),
covered_fraction(first_v["intervals"], v_low, v_high),
covered_fraction(second_v["intervals"], v_low, v_high),
)
if min(spans) < 0.72:
continue
center_u, center_v = (u_low + u_high) / 2.0, (v_low + v_high) / 2.0
center = (
center_u * axis[0] + center_v * normal[0],
center_u * axis[1] + center_v * normal[1],
)
long_axis, short_axis = axis, normal
if u_high - u_low < v_high - v_low:
long_axis, short_axis = normal, (-axis[0], -axis[1])
found.append(
Rectangle(
z,
section,
center,
long_axis,
short_axis,
dimensions[0],
dimensions[1],
compensated,
diameter,
)
)
unique: list[Rectangle] = []
for item in found:
if not any(
close(item.long_dim, old.long_dim, 0.8)
and close(item.short_dim, old.short_dim, 0.8)
and math.dist(item.center, old.center) <= 1.0
for old in unique
):
unique.append(item)
return unique
def find_profile(records: list[Record]) -> Rectangle | None:
candidates: list[Rectangle] = []
sections = sorted({record.section for record in records})
for section in sections:
levels = sorted(
{
round(float(record.end["z"]), 2)
for record in records
if record.section == section and record.end["z"] is not None and is_xy_cut(record)
}
)
for level in levels:
candidates.extend(rectangles_at_level(records, level, section))
return min(candidates, key=lambda item: item.z) if candidates else None
def local(value: tuple[float, float], rectangle: Rectangle) -> tuple[float, float]:
delta = (value[0] - rectangle.center[0], value[1] - rectangle.center[1])
return project(delta, rectangle.axis), project(delta, rectangle.normal)
def same_point(left: Record, right: Record, tolerance: float = 0.08) -> bool:
left_point, right_point = point(left), point(right, "start")
if left_point is None or right_point is None:
return False
left_z, right_z = left.end["z"], right.start["z"]
return (
math.dist(left_point, right_point) <= tolerance
and left_z is not None
and right_z is not None
and close(float(left_z), float(right_z), tolerance)
)
def segment_intersects_nominal_interior(
start: tuple[float, float], end: tuple[float, float]
) -> bool:
# Liang-Barsky against a slightly shrunken open 70 x 50 mm rectangle.
xmin, xmax, ymin, ymax = -34.95, 34.95, -24.95, 24.95
dx, dy = end[0] - start[0], end[1] - start[1]
p = (-dx, dx, -dy, dy)
q = (start[0] - xmin, xmax - start[0], start[1] - ymin, ymax - start[1])
low, high = 0.0, 1.0
for denominator, numerator in zip(p, q):
if abs(denominator) <= 1.0e-12:
if numerator < 0.0:
return False
continue
ratio = numerator / denominator
if denominator < 0.0:
low = max(low, ratio)
else:
high = min(high, ratio)
if low > high:
return False
return True
def valid_zero_feed_link(record: Record, records: list[Record], profile: Rectangle) -> bool:
if record.motion != 1 or record.explicit_feed is None or abs(record.explicit_feed) > 1.0e-9:
return False
if record.start["z"] is None or record.end["z"] is None:
return False
if not close(float(record.start["z"]), float(record.end["z"]), 0.05):
return False
start, end = point(record, "start"), point(record)
if start is None or end is None:
return False
try:
index = records.index(record)
except ValueError:
return False
neighbors = []
if index > 0:
neighbors.append((records[index - 1], same_point(records[index - 1], record)))
if index + 1 < len(records):
neighbors.append((records[index + 1], same_point(record, records[index + 1])))
if not any(
shared
and neighbor.motion == 1
and neighbor.feed is not None
and neighbor.feed > 0
and neighbor.end["z"] is not None
and close(float(neighbor.end["z"]), float(record.end["z"]), 0.05)
for neighbor, shared in neighbors
):
return False
return not segment_intersects_nominal_interior(local(start, profile), local(end, profile))
def face_patterns(records: list[Record], rectangle: Rectangle) -> list[FacePattern]:
result: list[FacePattern] = []
for section in sorted({record.section for record in records}):
levels = sorted(
{
round(float(record.end["z"]), 2)
for record in records
if record.section == section and record.end["z"] is not None and is_xy_cut(record)
}
)
for level in levels:
level_records = [
record
for record in records
if record.section == section
and record.motion == 1
and record.feed is not None
and record.feed > 0
and record.end["z"] is not None
and close(float(record.end["z"]), level, 0.3)
and xy_length(record) >= 8.0
]
for direction, cross_direction, nominal_along, nominal_cross in (
(rectangle.axis, rectangle.normal, 70.0, 50.0),
(rectangle.normal, rectangle.axis, 50.0, 70.0),
):
tracks: list[tuple[float, float, float]] = []
for record in level_records:
start, end = point(record, "start"), point(record)
assert start is not None and end is not None
vector = (end[0] - start[0], end[1] - start[1])
length = math.hypot(*vector)
alignment = abs((vector[0] * direction[0] + vector[1] * direction[1]) / length)
if alignment < 0.995 or length < nominal_along * 0.72:
continue
along = sorted((project(start, direction), project(end, direction)))
cross = (project(start, cross_direction) + project(end, cross_direction)) / 2.0
tracks.append((cross, along[0], along[1]))
clustered = cluster_tracks(tracks)
if not clustered:
continue
cross_values = [float(item["fixed"]) for item in clustered]
along_low = min(low for _, low, _ in tracks)
along_high = max(high for _, _, high in tracks)
center_cross = project(rectangle.center, cross_direction)
center_along = project(rectangle.center, direction)
cross_span = max(cross_values) - min(cross_values)
tool_diameter = next((record.tool_diameter for record in level_records if record.tool_diameter), None)
if tool_diameter is not None and not 3.0 <= tool_diameter <= 100.0:
continue
radius = (tool_diameter or 0.0) / 2.0
if along_high - along_low + 2.0 * radius < nominal_along - 2.0:
continue
if not (
along_low - radius <= center_along - nominal_along / 2.0 + 2.0
and along_high + radius >= center_along + nominal_along / 2.0 - 2.0
):
continue
if cross_span + 2.0 * radius < nominal_cross - 2.0:
continue
if not (
min(cross_values) - radius <= center_cross - nominal_cross / 2.0 + 2.0
and max(cross_values) + radius >= center_cross + nominal_cross / 2.0 - 2.0
):
continue
result.append(
FacePattern(float(level), len(clustered), along_high - along_low, cross_span, tool_diameter)
)
return result
def has_interior_deep_cut(records: list[Record], rectangle: Rectangle, face_z: float) -> bool:
for record in records:
if not is_xy_cut(record) or record.end["z"] is None or float(record.end["z"]) > face_z - 1.0:
continue
start, end = point(record, "start"), point(record)
if start is None or end is None or xy_length(record) < 3.0:
continue
middle = ((start[0] + end[0]) / 2.0, (start[1] + end[1]) / 2.0)
u, v = local(middle, rectangle)
if abs(u) < 30.0 and abs(v) < 20.0:
return True
return False
def safe_rapids(program: Program, face_z: dict[str, float]) -> bool:
for record in program.records:
if record.motion != 0 or xy_length(record) <= 1.0e-6 or record.wcs not in face_z:
continue
heights = [float(value) for value in (record.start["z"], record.end["z"]) if value is not None]
if heights and min(heights) < face_z[record.wcs] + 0.9:
return False
return True
def read_nc(path: Path) -> str | None:
try:
if not path.is_file() or not 500 <= path.stat().st_size <= 2_000_000:
return None
data = path.read_bytes()
if b"\x00" in data:
return None
source = data.decode("latin-1")
printable = sum(ch in "\t\r\n" or 32 <= ord(ch) <= 126 for ch in source)
return source if printable / max(1, len(source)) >= 0.98 else None
except Exception:
return None
def validate_nc(path: Path) -> bool:
source = read_nc(path)
if source is None:
return False
try:
program = parse_program(source)
except Exception:
return False
if len(program.units_seen) != 1 or program.axes_seen & {"A", "B", "C", "U", "V", "W"}:
return False
if not {6, 30} <= program.m_codes_seen or not ({3, 4} & program.m_codes_seen):
return False
if len(program.m30_lines) != 1 or any(WORD_RE.search(line) for line in program.code_lines[program.m30_lines[0] + 1 :]):
return False
xy_cuts = [record for record in program.records if is_xy_cut(record)]
if len(xy_cuts) < 20 or {record.wcs for record in xy_cuts} != {"G54", "G55"}:
return False
if any(record.operation not in {"face", "profile"} for record in xy_cuts):
return False
if any(not record.spindle_on for record in xy_cuts):
return False
used_sections = {record.section for record in xy_cuts}
if any(not program.sections[index].has_g43 for index in used_sections):
return False
profiles: dict[str, Rectangle] = {}
faces: dict[str, FacePattern] = {}
for wcs in ("G54", "G55"):
profile_records = [record for record in xy_cuts if record.wcs == wcs and record.operation == "profile"]
face_records = [record for record in xy_cuts if record.wcs == wcs and record.operation == "face"]
profile = find_profile(profile_records)
if profile is None:
return False
for record in profile_records:
if record.feed is None or record.feed <= 0:
return False
for record in face_records:
if record.feed is not None and record.feed > 0:
continue
if not valid_zero_feed_link(record, face_records, profile):
return False
candidates = [
item
for item in face_patterns(face_records, profile)
if 11.0 <= item.z - profile.z <= 14.5
]
if not candidates:
return False
face = max(candidates, key=lambda item: (item.tracks, item.along_span))
if has_interior_deep_cut(profile_records, profile, face.z):
return False
profiles[wcs], faces[wcs] = profile, face
first_profile, second_profile = profiles["G54"], profiles["G55"]
if not close(first_profile.long_dim, second_profile.long_dim, 2.0):
return False
if not close(first_profile.short_dim, second_profile.short_dim, 2.0):
return False
first_depth = faces["G54"].z - first_profile.z
second_depth = faces["G55"].z - second_profile.z
if not close(first_depth, second_depth, 1.5):
return False
if abs(faces["G54"].tracks - faces["G55"].tracks) > 1:
return False
if not close(faces["G54"].along_span, faces["G55"].along_span, 3.0):
return False
diameters = (faces["G54"].tool_diameter, faces["G55"].tool_diameter)
if None not in diameters and not close(float(diameters[0]), float(diameters[1]), 0.5):
return False
if not safe_rapids(program, {name: faces[name].z for name in faces}):
return False
return True
def evaluate() -> bool:
return validate_nc(TARGET / OUTPUT_NAME)
if __name__ == "__main__":
try:
result = evaluate()
except Exception:
result = False
print("True" if result else "False")
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