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import math
import os
import re
from collections import Counter
from dataclasses import dataclass
from pathlib import Path
TARGET = Path(os.environ.get("EVAL_TARGET_DIR", r"C:\Users\User\Desktop"))
NC_NAME = "task-06.nc"
MAX_BYTES = 2_000_000
TOOLS = {
1: {"diameter": 10.0, "spindle": 7500.0, "feed": 520.0},
2: {"diameter": 5.0, "spindle": 5000.0, "feed": 180.0},
3: {"diameter": 6.0, "spindle": 9000.0, "feed": 650.0},
}
HOLES = [(-35.0, -20.0), (-35.0, 20.0), (35.0, -20.0), (35.0, 20.0)]
WORD_RE = re.compile(r"([A-Z])\s*([+-]?(?:\d+(?:\.\d*)?|\.\d+))")
ALLOWED_WORDS = {"N", "O", "G", "M", "X", "Y", "Z", "I", "J", "R", "P", "Q", "T", "S", "F", "H", "D"}
class EvaluationError(ValueError):
pass
@dataclass(frozen=True)
class Point:
x: float
y: float
z: float
@dataclass
class Segment:
start: Point
end: Point
samples: list[Point]
motion: int
tool: int | None
spindle: float | None
spindle_on: bool
feed: float | None
wcs: str | None
length_comp: bool
h_offset: int | None
comp: int
d_offset: int | None
machine_coordinates: bool
cycle: int | None
line_number: int
@dataclass
class Program:
segments: list[Segment]
tool_changes: list[int]
tool_references: set[int]
terminated: bool
explicit_units: bool
explicit_distance: bool
executable_lines: int
def close(a: float, b: float, tolerance: float) -> bool:
return abs(a - b) <= tolerance
def integral(value: float, label: str) -> int:
if not math.isfinite(value) or not close(value, round(value), 1e-9):
raise EvaluationError(f"non-integral {label}")
return int(round(value))
def distance(a: Point, b: Point) -> float:
return math.dist((a.x, a.y, a.z), (b.x, b.y, b.z))
def dense_line(start: Point, end: Point, spacing: float = 0.75) -> list[Point]:
count = max(1, int(math.ceil(distance(start, end) / spacing)))
return [
Point(
start.x + (end.x - start.x) * index / count,
start.y + (end.y - start.y) * index / count,
start.z + (end.z - start.z) * index / count,
)
for index in range(count + 1)
]
def strip_comments(source: str) -> list[tuple[int, str]]:
rows: list[tuple[int, str]] = []
depth = 0
for line_number, raw in enumerate(source.upper().splitlines(), 1):
clean: list[str] = []
for char in raw:
if char == ";" and depth == 0:
break
if char == "(":
depth += 1
elif char == ")":
if depth == 0:
raise EvaluationError("unmatched comment close")
depth -= 1
elif depth == 0:
clean.append(char)
rows.append((line_number, "".join(clean).strip()))
if depth:
raise EvaluationError("unterminated comment")
return rows
def sweep_for(center_x: float, center_y: float, start: Point, end: Point, clockwise: bool) -> tuple[float, float, float]:
start_angle = math.atan2(start.y - center_y, start.x - center_x)
end_angle = math.atan2(end.y - center_y, end.x - center_x)
sweep = (start_angle - end_angle) % (2 * math.pi) if clockwise else (end_angle - start_angle) % (2 * math.pi)
if sweep <= 1e-9:
sweep = 2 * math.pi
return start_angle, sweep, -1.0 if clockwise else 1.0
def sampled_arc(start: Point, end: Point, center_x: float, center_y: float, clockwise: bool) -> list[Point]:
radius = math.hypot(start.x - center_x, start.y - center_y)
if radius <= 1e-6 or not close(math.hypot(end.x - center_x, end.y - center_y), radius, 0.25):
raise EvaluationError("invalid arc geometry")
start_angle, sweep, direction = sweep_for(center_x, center_y, start, end, clockwise)
count = max(12, int(math.ceil(radius * sweep / 0.75)))
return [
Point(
center_x + radius * math.cos(start_angle + direction * sweep * index / count),
center_y + radius * math.sin(start_angle + direction * sweep * index / count),
start.z + (end.z - start.z) * index / count,
)
for index in range(count + 1)
]
def arc_points_ij(start: Point, end: Point, i_value: float, j_value: float, clockwise: bool) -> list[Point]:
return sampled_arc(start, end, start.x + i_value, start.y + j_value, clockwise)
def arc_points_r(start: Point, end: Point, r_value: float, clockwise: bool) -> list[Point]:
chord_x, chord_y = end.x - start.x, end.y - start.y
chord = math.hypot(chord_x, chord_y)
radius = abs(r_value)
if chord <= 1e-9 or radius < chord / 2 - 1e-6:
raise EvaluationError("invalid R arc")
middle_x, middle_y = (start.x + end.x) / 2, (start.y + end.y) / 2
height = math.sqrt(max(0.0, radius * radius - (chord / 2) ** 2))
normal_x, normal_y = -chord_y / chord, chord_x / chord
centers = [
(middle_x + normal_x * height, middle_y + normal_y * height),
(middle_x - normal_x * height, middle_y - normal_y * height),
]
choices = []
for center_x, center_y in centers:
_start_angle, sweep, _direction = sweep_for(center_x, center_y, start, end, clockwise)
choices.append((center_x, center_y, sweep))
if r_value >= 0:
center_x, center_y, _sweep = min(choices, key=lambda item: item[2])
else:
center_x, center_y, _sweep = max(choices, key=lambda item: item[2])
return sampled_arc(start, end, center_x, center_y, clockwise)
def parse_program(source: str) -> Program:
units: str | None = None
absolute: bool | None = None
motion: int | None = None
current = Point(0.0, 0.0, 0.0)
pending_tool: int | None = None
tool: int | None = None
tool_references: set[int] = set()
tool_changes: list[int] = []
spindle: float | None = None
spindle_on = False
feed: float | None = None
wcs: str | None = None
length_comp = False
h_offset: int | None = None
comp = 40
d_offset: int | None = None
cycle: int | None = None
cycle_z: float | None = None
cycle_r: float | None = None
terminated = False
executable_lines = 0
segments: list[Segment] = []
for line_number, line in strip_comments(source):
if not line or line == "%":
continue
if any(char in line for char in "#[]="):
raise EvaluationError("macros and expressions are unsupported")
found = WORD_RE.findall(line)
if not found:
raise EvaluationError(f"unparsed executable text on line {line_number}")
residue = re.sub(r"[\s/]+", "", WORD_RE.sub("", line))
if residue:
raise EvaluationError(f"unknown executable text on line {line_number}")
if terminated:
raise EvaluationError("executable code after M30")
executable_lines += 1
grouped: dict[str, list[float]] = {}
for letter, raw_value in found:
if letter not in ALLOWED_WORDS:
raise EvaluationError(f"unsupported address {letter}")
value = float(raw_value)
if not math.isfinite(value):
raise EvaluationError("non-finite numeric word")
grouped.setdefault(letter, []).append(value)
for letter, values in grouped.items():
if letter not in {"G", "M"} and len(values) != 1:
raise EvaluationError(f"duplicate {letter} address")
for letter in ("N", "O", "T", "H", "D"):
if letter in grouped:
integral(grouped[letter][0], letter)
gcodes = grouped.get("G", [])
mcodes = [integral(value, "M") for value in grouped.get("M", [])]
if any(code not in {0, 1, 3, 4, 5, 6, 8, 9, 30} for code in mcodes):
raise EvaluationError("unsupported M code")
if "T" in grouped:
pending_tool = integral(grouped["T"][0], "T")
tool_references.add(pending_tool)
if 6 in mcodes:
if pending_tool is None:
raise EvaluationError("M6 without tool")
tool = pending_tool
tool_changes.append(tool)
spindle = None
spindle_on = False
feed = None
length_comp = False
h_offset = None
comp = 40
d_offset = None
cycle = None
cycle_z = None
cycle_r = None
machine_coordinates = any(close(code, 53.0, 1e-6) for code in gcodes)
reference_return = any(close(code, 28.0, 1e-6) for code in gcodes)
for code in gcodes:
rounded = int(round(code))
if close(code, 20.0, 1e-6):
units = "inch"
elif close(code, 21.0, 1e-6):
units = "mm"
elif close(code, 90.0, 1e-6):
absolute = True
elif close(code, 91.0, 1e-6):
absolute = False
elif rounded in (0, 1, 2, 3) and close(code, rounded, 1e-6):
motion = rounded
elif rounded in (54, 55, 56, 57, 58, 59) and close(code, rounded, 1e-6):
wcs = f"G{rounded}"
elif close(code, 54.1, 1e-6):
if "P" not in grouped:
raise EvaluationError("G54.1 requires P")
p_value = integral(grouped["P"][0], "P")
if p_value <= 0:
raise EvaluationError("invalid G54.1 offset")
wcs = f"G54.1P{p_value}"
elif close(code, 43.0, 1e-6):
length_comp = True
elif close(code, 49.0, 1e-6):
length_comp = False
h_offset = None
elif rounded in (40, 41, 42) and close(code, rounded, 1e-6):
comp = rounded
if rounded == 40:
d_offset = None
elif rounded in (81, 82, 83) and close(code, rounded, 1e-6):
cycle = rounded
elif rounded == 80 and close(code, 80.0, 1e-6):
cycle = None
elif any(close(code, value, 1e-6) for value in (4.0, 17.0, 28.0, 53.0, 94.0, 98.0, 99.0)):
pass
else:
raise EvaluationError(f"unsupported G code G{code:g}")
factor = 25.4 if units == "inch" else 1.0
if "S" in grouped:
spindle = grouped["S"][0]
if "F" in grouped:
feed = grouped["F"][0] * factor
if "H" in grouped:
h_offset = integral(grouped["H"][0], "H")
if "D" in grouped:
d_offset = integral(grouped["D"][0], "D")
if (3 in mcodes or 4 in mcodes) and 5 in mcodes:
raise EvaluationError("conflicting spindle commands")
if 3 in mcodes or 4 in mcodes:
spindle_on = True
if 5 in mcodes:
spindle_on = False
has_coordinates = any(letter in grouped for letter in ("X", "Y", "Z"))
if absolute is None and has_coordinates:
raise EvaluationError("motion before explicit G90/G91")
if units is None and any(letter in grouped for letter in ("X", "Y", "Z", "I", "J", "R", "Q", "F")):
raise EvaluationError("dimensional word before explicit G20/G21")
def coordinate(axis: str, old_value: float) -> float:
if axis not in grouped:
return old_value
new_value = grouped[axis][0] * factor
return new_value if absolute else old_value + new_value
new = Point(coordinate("X", current.x), coordinate("Y", current.y), coordinate("Z", current.z))
if reference_return:
current = new
elif machine_coordinates:
pass
elif cycle is not None and has_coordinates:
if "Z" in grouped:
cycle_z = new.z
if "R" in grouped:
r_word = grouped["R"][0] * factor
cycle_r = r_word if absolute else current.z + r_word
if cycle_z is None or cycle_r is None:
raise EvaluationError("incomplete drilling cycle")
at_xy = Point(new.x, new.y, current.z)
top = Point(new.x, new.y, cycle_r)
bottom = Point(new.x, new.y, cycle_z)
if distance(current, at_xy) > 1e-6:
segments.append(Segment(current, at_xy, dense_line(current, at_xy), 0, tool, spindle, spindle_on, feed, wcs, length_comp, h_offset, comp, d_offset, False, cycle, line_number))
if distance(at_xy, top) > 1e-6:
segments.append(Segment(at_xy, top, dense_line(at_xy, top), 0, tool, spindle, spindle_on, feed, wcs, length_comp, h_offset, comp, d_offset, False, cycle, line_number))
segments.append(Segment(top, bottom, dense_line(top, bottom), 1, tool, spindle, spindle_on, feed, wcs, length_comp, h_offset, comp, d_offset, False, cycle, line_number))
current = top
elif has_coordinates and motion is not None:
if motion in (2, 3):
has_ij = "I" in grouped or "J" in grouped
has_r = "R" in grouped
if has_ij and has_r:
raise EvaluationError("arc cannot mix I/J and R")
if has_ij:
if "I" not in grouped or "J" not in grouped:
raise EvaluationError("XY arc requires both I and J")
samples = arc_points_ij(current, new, grouped["I"][0] * factor, grouped["J"][0] * factor, motion == 2)
elif has_r:
samples = arc_points_r(current, new, grouped["R"][0] * factor, motion == 2)
else:
raise EvaluationError("arc requires I/J or R")
else:
samples = dense_line(current, new)
segments.append(Segment(current, new, samples, motion, tool, spindle, spindle_on, feed, wcs, length_comp, h_offset, comp, d_offset, False, None, line_number))
current = new
if 30 in mcodes:
terminated = True
return Program(segments, tool_changes, tool_references, terminated, units is not None, absolute is not None, executable_lines)
def cutting_segments(program: Program, tool: int) -> list[Segment]:
return [
segment
for segment in program.segments
if segment.tool == tool
and segment.motion in (1, 2, 3)
and not segment.machine_coordinates
and distance(segment.start, segment.end) > 1e-5
]
def validate_common(program: Program) -> None:
if not program.terminated or not program.explicit_units or not program.explicit_distance or program.executable_lines < 15:
raise EvaluationError("incomplete executable program")
if program.tool_references - set(TOOLS):
raise EvaluationError("unexpected tool reference")
if len(program.tool_changes) != 3 or Counter(program.tool_changes) != Counter({1: 1, 2: 1, 3: 1}):
raise EvaluationError("each supplied tool must be changed exactly once")
if any(segment.motion in (1, 2, 3) and segment.tool is None for segment in program.segments):
raise EvaluationError("feed motion before tool change")
for tool, contract in TOOLS.items():
segments = cutting_segments(program, tool)
if not segments:
raise EvaluationError(f"T{tool} has no cutting motion")
for segment in segments:
if not segment.spindle_on:
raise EvaluationError(f"T{tool} cuts with spindle stopped")
if segment.spindle is None or not close(segment.spindle, contract["spindle"], 1.0):
raise EvaluationError(f"T{tool} has wrong spindle speed")
if segment.feed is None or not close(segment.feed, contract["feed"], 0.75):
raise EvaluationError(f"T{tool} has wrong cutting feed")
if segment.wcs != "G54":
raise EvaluationError(f"T{tool} cuts outside G54")
if not segment.length_comp or segment.h_offset != tool:
raise EvaluationError(f"T{tool} lacks matching G43/H{tool}")
safe_rapids = [
segment
for segment in program.segments
if segment.tool == tool and segment.motion == 0 and not segment.machine_coordinates and max(segment.start.z, segment.end.z) >= 2.0
]
if not safe_rapids:
raise EvaluationError(f"T{tool} lacks safe rapid clearance")
def grid_covered(points: list[Point], xs: list[float], ys: list[float], radius: float) -> bool:
return all(any(math.hypot(point.x - x_value, point.y - y_value) <= radius for point in points) for x_value in xs for y_value in ys)
def validate_pocket(program: Program) -> None:
segments = cutting_segments(program, 1)
material_points = [point for segment in segments for point in segment.samples if point.z <= 0.25]
if not material_points:
raise EvaluationError("missing pocket cutting")
if any(abs(point.x) > 17.75 or abs(point.y) > 9.75 for point in material_points):
raise EvaluationError("T1 cuts outside the D10 pocket-center envelope")
if any(point.z < -11.25 for point in material_points):
raise EvaluationError("pocket is over-deep")
bottom = [point for point in material_points if -11.25 <= point.z <= -10.5]
if not bottom or min(point.z for point in bottom) > -10.75:
raise EvaluationError("pocket bottom depth is missing")
if not grid_covered(bottom, [-17.0, -8.5, 0.0, 8.5, 17.0], [-9.0, 0.0, 9.0], 4.75):
raise EvaluationError("44 x 28 pocket is not cleared to depth 11")
def nearest_hole(x_value: float, y_value: float) -> tuple[int, float]:
distances = [math.hypot(x_value - hole_x, y_value - hole_y) for hole_x, hole_y in HOLES]
index = min(range(len(distances)), key=distances.__getitem__)
return index, distances[index]
def validate_drill(program: Program) -> None:
deepest: dict[int, float] = {}
for segment in cutting_segments(program, 2):
if math.hypot(segment.end.x - segment.start.x, segment.end.y - segment.start.y) > 0.25:
raise EvaluationError("T2 performs lateral feed cutting")
if segment.end.z >= segment.start.z - 0.25:
raise EvaluationError("T2 drilling feed is not downward")
index, hole_distance = nearest_hole(segment.end.x, segment.end.y)
if hole_distance > 0.75:
raise EvaluationError("T2 drills an unexpected location")
bottom = min(segment.start.z, segment.end.z)
if bottom < -20.25:
raise EvaluationError("drill exceeds permitted through-tip allowance")
deepest[index] = min(deepest.get(index, float("inf")), bottom)
if set(deepest) != set(range(4)):
raise EvaluationError("one or more holes are missing")
if any(not (-20.25 <= deepest[index] <= -18.0) for index in range(4)):
raise EvaluationError("one or more holes are not through")
def signed_area(points: list[Point]) -> float:
return 0.5 * sum(first.x * second.y - second.x * first.y for first, second in zip(points, points[1:]))
def near_closed_subloops(points: list[Point], minimum_points: int = 40, gap: float = 2.0) -> list[list[Point]]:
loops: list[list[Point]] = []
if len(points) >= minimum_points and distance(points[0], points[-1]) <= gap:
loops.append(points)
for start in range(len(points) - minimum_points):
for end in range(start + minimum_points, len(points)):
if distance(points[start], points[end]) <= gap:
loops.append(points[start : end + 1])
return loops
def validate_profile(program: Program) -> None:
segments = cutting_segments(program, 3)
material_points = [point for segment in segments for point in segment.samples if point.z <= 0.25]
if not material_points:
raise EvaluationError("missing profile cutting")
if any(point.z < -18.25 for point in material_points):
raise EvaluationError("profile is over-deep")
for point in material_points:
if abs(point.x) > 70.0 or abs(point.y) > 50.0:
raise EvaluationError("profile contains extreme over-travel")
if max(abs(point.x) - 60.0, abs(point.y) - 40.0) < -0.75:
raise EvaluationError("T3 performs destructive cutting inside the nominal perimeter")
candidates: list[tuple[list[Point], list[Segment]]] = []
run: list[Point] = []
run_segments: list[Segment] = []
for segment in segments:
horizontal = abs(segment.start.z - segment.end.z) <= 0.3 and -18.25 <= min(segment.start.z, segment.end.z) <= -17.75
if horizontal:
if not run or distance(run[-1], segment.start) <= 0.5:
if not run:
run.append(segment.start)
run.extend(segment.samples[1:])
run_segments.append(segment)
else:
candidates.append((run, run_segments))
run = [segment.start, *segment.samples[1:]]
run_segments = [segment]
elif run:
candidates.append((run, run_segments))
run = []
run_segments = []
if run:
candidates.append((run, run_segments))
for points, candidate_segments in candidates:
for loop in near_closed_subloops(points):
xs = [point.x for point in loop]
ys = [point.y for point in loop]
offset = (
close(min(xs), -63.0, 0.75)
and close(max(xs), 63.0, 0.75)
and close(min(ys), -43.0, 0.75)
and close(max(ys), 43.0, 0.75)
and all(max(abs(point.x) - 60.0, abs(point.y) - 40.0) >= 2.0 for point in loop)
)
if offset:
return
nominal_points = [point for point in loop if abs(point.x) <= 60.75 and abs(point.y) <= 40.75]
nominal = (
nominal_points
and close(min(point.x for point in nominal_points), -60.0, 0.75)
and close(max(point.x for point in nominal_points), 60.0, 0.75)
and close(min(point.y for point in nominal_points), -40.0, 0.75)
and close(max(point.y for point in nominal_points), 40.0, 0.75)
and all(
any(abs(point.x - x_value) <= 0.75 and abs(point.y - y_value) <= 0.75 for point in nominal_points)
for x_value, y_value in ((-60.0, -40.0), (60.0, -40.0), (60.0, 40.0), (-60.0, 40.0))
)
)
if nominal:
required_comp = 42 if signed_area(nominal_points) > 0 else 41
if any(segment.comp == required_comp and segment.d_offset is not None and segment.d_offset > 0 for segment in candidate_segments):
return
raise EvaluationError("missing full-depth compensated closed outside profile")
def evaluate_text(source: str) -> bool:
try:
program = parse_program(source)
validate_common(program)
validate_pocket(program)
validate_drill(program)
validate_profile(program)
return True
except (EvaluationError, OverflowError, ValueError):
return False
def main() -> bool:
path = TARGET / NC_NAME
if not path.is_file() or path.stat().st_size <= 0 or path.stat().st_size > MAX_BYTES:
return False
raw = path.read_bytes()
if b"\x00" in raw:
return False
try:
source = raw.decode("utf-8", errors="strict")
except UnicodeDecodeError:
return False
return evaluate_text(source)
if __name__ == "__main__":
try:
result = main()
except Exception:
result = False
print("True" if result else "False")
raise SystemExit(0)
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