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import math
import os
import re
from dataclasses import dataclass
from pathlib import Path
TARGET = Path(os.environ.get("EVAL_TARGET_DIR", r"C:\Users\User\Desktop"))
NC_NAME = "task-15.nc"
SAFE_POINTS = {
(-45.0, -24.0), (-45.0, -8.0), (-45.0, 8.0),
(-15.0, -24.0), (-15.0, -8.0), (-15.0, 8.0), (-15.0, 24.0),
(15.0, -24.0), (15.0, -8.0), (15.0, 8.0),
(45.0, -24.0), (45.0, -8.0), (45.0, 8.0),
}
FORBIDDEN_POINTS = {(-45.0, 24.0), (15.0, 24.0), (45.0, 24.0)}
FIXTURES = ((-54.0, 27.0, -36.0, 37.0), (6.0, 27.0, 24.0, 37.0), (36.0, 27.0, 54.0, 37.0))
TOOL_RADIUS = {1: 1.5, 2: 2.5}
SPINDLE = {1: 8000.0, 2: 5000.0}
FEED = {1: 250.0, 2: 180.0}
WORD_RE = re.compile(r"([A-Z])\s*([+-]?(?:\d+(?:\.\d*)?|\.\d+))")
class EvaluationError(ValueError):
pass
@dataclass(frozen=True)
class Point:
x: float
y: float
z: float
@dataclass(frozen=True)
class Segment:
start: Point
end: Point
motion: int
tool: int | None
wcs: int | None
@dataclass(frozen=True)
class CycleEvent:
x: float
y: float
bottom: float
r_plane: float
return_z: float
cycle: int
tool: int | None
spindle: float | None
spindle_on: bool
feed: float | None
wcs: int | None
length_comp: bool
h_offset: int | None
@dataclass
class Program:
events: list[CycleEvent]
segments: list[Segment]
tool_changes: list[int]
executable_blocks: int
terminated: bool
@dataclass(frozen=True)
class RigidTransform:
c: float
s: float
tx: float
ty: float
def apply(self, x: float, y: float) -> tuple[float, float]:
return self.c * x - self.s * y + self.tx, self.s * x + self.c * y + self.ty
def close(a: float, b: float, tolerance: float) -> bool:
return abs(a - b) <= tolerance
def strip_comments(source: str) -> list[str]:
lines: list[str] = []
depth = 0
for raw in source.upper().splitlines():
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 closing comment")
depth -= 1
elif depth == 0:
clean.append(char)
lines.append("".join(clean).strip())
if depth:
raise EvaluationError("unterminated parenthesis comment")
return lines
def parse_program(source: str) -> Program:
units: str | None = None
absolute: bool | None = None
motion: int | None = None
x = y = z = None
pending_tool = active_tool = None
spindle = feed = None
spindle_on = False
wcs = None
length_comp = False
h_offset = None
cycle = None
cycle_z = cycle_r = cycle_initial_z = None
return_initial = True
events: list[CycleEvent] = []
segments: list[Segment] = []
tool_changes: list[int] = []
executable = 0
terminated = False
for line in strip_comments(source):
if not line or line == "%":
continue
if terminated:
raise EvaluationError("executable content after M30")
if any(char in line for char in "#[]="):
raise EvaluationError("expressions and macros are unsupported")
if re.fullmatch(r"/?\s*O\d+", line):
executable += 1
continue
words = WORD_RE.findall(line)
residue = re.sub(r"[\s/]+", "", WORD_RE.sub("", line))
if not words or residue:
raise EvaluationError(f"unknown executable content: {line!r}")
executable += 1
grouped: dict[str, list[float]] = {}
for letter, raw_value in words:
grouped.setdefault(letter, []).append(float(raw_value))
for letter in ("X", "Y", "Z", "R", "F", "S", "T", "H", "Q", "P"):
if len(grouped.get(letter, [])) > 1:
raise EvaluationError(f"ambiguous repeated {letter} word")
gcodes = grouped.get("G", [])
mcodes = []
for raw_m in grouped.get("M", []):
if not close(raw_m, round(raw_m), 1e-7):
raise EvaluationError("non-integral M code")
mcode = int(round(raw_m))
if mcode not in (0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 30):
raise EvaluationError(f"unsupported M code M{mcode}")
mcodes.append(mcode)
reference_return = False
cancel_cycle = False
new_cycle = None
for raw_g in gcodes:
rounded = int(round(raw_g))
if not close(raw_g, rounded, 1e-7):
raise EvaluationError(f"unsupported non-integral G code G{raw_g:g}")
if rounded == 20:
units = "inch"
elif rounded == 21:
units = "mm"
elif rounded == 90:
absolute = True
elif rounded == 91:
absolute = False
elif rounded in (0, 1):
motion = rounded
elif rounded == 28:
reference_return = True
elif rounded in (54, 55, 56, 57, 58, 59):
if wcs != rounded:
x = y = z = None
wcs = rounded
elif rounded == 43:
length_comp = True
elif rounded == 49:
length_comp = False
h_offset = None
elif rounded in (81, 82, 83):
new_cycle = rounded
elif rounded == 80:
cancel_cycle = True
elif rounded == 98:
return_initial = True
elif rounded == 99:
return_initial = False
elif rounded in (17, 40, 94):
pass
else:
raise EvaluationError(f"unsupported G code G{rounded}")
if "T" in grouped:
raw_tool = grouped["T"][0]
if not close(raw_tool, round(raw_tool), 1e-7):
raise EvaluationError("non-integral tool number")
pending_tool = int(round(raw_tool))
if "S" in grouped:
spindle = grouped["S"][0]
if "H" in grouped:
raw_h = grouped["H"][0]
if not close(raw_h, round(raw_h), 1e-7):
raise EvaluationError("non-integral H offset")
h_offset = int(round(raw_h))
if 6 in mcodes:
if pending_tool is None:
raise EvaluationError("M6 without a pending tool")
active_tool = pending_tool
tool_changes.append(active_tool)
if 3 in mcodes or 4 in mcodes:
spindle_on = True
if 5 in mcodes:
spindle_on = False
if 30 in mcodes:
allowed_letters = {"N", "M"}
if any(letter not in allowed_letters for letter in grouped) or mcodes != [30]:
raise EvaluationError("M30 must be a terminal-only block")
terminated = True
continue
if units is None and any(letter in grouped for letter in ("X", "Y", "Z", "R", "F", "Q")):
raise EvaluationError("coordinate/feed before unit selection")
factor = 25.4 if units == "inch" else 1.0
if "F" in grouped:
feed = grouped["F"][0] * factor
if "Q" in grouped and grouped["Q"][0] <= 0.0:
raise EvaluationError("non-positive peck amount")
if new_cycle == 83 and "Q" not in grouped:
raise EvaluationError("G83 requires an explicit positive Q peck amount")
if reference_return:
x = y = z = None
cycle = cycle_z = cycle_r = cycle_initial_z = None
continue
if absolute is None and any(letter in grouped for letter in ("X", "Y", "Z", "R")):
raise EvaluationError("coordinate before distance mode")
old = (x, y, z)
def coordinate(letter: str, current: float | None) -> float | None:
if letter not in grouped:
return current
value = grouped[letter][0] * factor
if absolute:
return value
if current is None:
raise EvaluationError(f"incremental {letter} with unknown origin")
return current + value
x = coordinate("X", x)
y = coordinate("Y", y)
z = coordinate("Z", z)
if new_cycle is not None:
cycle = new_cycle
cycle_initial_z = old[2]
if "Z" in grouped and cycle is not None:
cycle_z = z
if "R" in grouped:
raw_r = grouped["R"][0] * factor
if absolute:
cycle_r = raw_r
else:
if old[2] is None:
raise EvaluationError("incremental R with unknown origin")
cycle_r = old[2] + raw_r
if cancel_cycle:
cycle = cycle_z = cycle_r = cycle_initial_z = None
cycle_visit = cycle is not None and (
new_cycle is not None or "X" in grouped or "Y" in grouped
)
if cycle_visit:
if x is None or y is None or cycle_z is None or cycle_r is None:
raise EvaluationError("incomplete canned-cycle position")
if active_tool is None:
raise EvaluationError("canned cycle without active tool")
return_z = cycle_initial_z if return_initial else cycle_r
if return_z is None:
raise EvaluationError("G98 cycle with unknown initial plane")
if old[0] is not None and old[1] is not None and old[2] is not None:
start = Point(old[0], old[1], old[2])
end = Point(x, y, old[2])
if math.hypot(end.x - start.x, end.y - start.y) > 1e-9:
segments.append(Segment(start, end, 0, active_tool, wcs))
events.append(
CycleEvent(
x, y, cycle_z, cycle_r, return_z, cycle, active_tool,
spindle, spindle_on, feed, wcs, length_comp, h_offset,
)
)
z = return_z
continue
if any(letter in grouped for letter in ("X", "Y", "Z")) and motion is not None:
if all(value is not None for value in old) and x is not None and y is not None and z is not None:
start = Point(float(old[0]), float(old[1]), float(old[2]))
end = Point(x, y, z)
if math.dist((start.x, start.y, start.z), (end.x, end.y, end.z)) > 1e-9:
segments.append(Segment(start, end, motion, active_tool, wcs))
return Program(events, segments, tool_changes, executable, terminated)
def nearest_set(points: list[tuple[float, float]], expected: set[tuple[float, float]], tolerance: float) -> bool:
remaining = set(expected)
for point in points:
matches = [target for target in remaining if math.dist(point, target) <= tolerance]
if len(matches) != 1:
return False
remaining.remove(matches[0])
return not remaining
def find_transform(observed: list[tuple[float, float]]) -> RigidTransform:
if len(observed) != len(SAFE_POINTS):
raise EvaluationError("wrong number of observed hole coordinates")
canonical = list(SAFE_POINTS)
for first_index, first in enumerate(observed):
for second_index, second in enumerate(observed):
if first_index == second_index:
continue
ox, oy = second[0] - first[0], second[1] - first[1]
od = math.hypot(ox, oy)
if od < 1.0:
continue
for target_first in canonical:
for target_second in canonical:
if target_first == target_second:
continue
cx, cy = target_second[0] - target_first[0], target_second[1] - target_first[1]
cd = math.hypot(cx, cy)
if abs(cd - od) > 0.35:
continue
c = (ox * cx + oy * cy) / (od * cd)
s = (ox * cy - oy * cx) / (od * cd)
length = math.hypot(c, s)
if length < 0.999 or length > 1.001:
continue
c /= length
s /= length
tx = target_first[0] - (c * first[0] - s * first[1])
ty = target_first[1] - (s * first[0] + c * first[1])
transform = RigidTransform(c, s, tx, ty)
mapped = [transform.apply(x, y) for x, y in observed]
if nearest_set(mapped, SAFE_POINTS, 0.35):
return transform
raise EvaluationError("hole coordinates do not form the required rigidly transformed safe set")
def rect_distance(x: float, y: float, rectangle: tuple[float, float, float, float]) -> float:
xmin, ymin, xmax, ymax = rectangle
return math.hypot(max(xmin - x, 0.0, x - xmax), max(ymin - y, 0.0, y - ymax))
def sample_segment(segment: Segment, spacing: float = 0.5) -> list[Point]:
length = math.dist(
(segment.start.x, segment.start.y, segment.start.z),
(segment.end.x, segment.end.y, segment.end.z),
)
count = max(1, int(math.ceil(length / spacing)))
return [
Point(
segment.start.x + (segment.end.x - segment.start.x) * index / count,
segment.start.y + (segment.end.y - segment.start.y) * index / count,
segment.start.z + (segment.end.z - segment.start.z) * index / count,
)
for index in range(count + 1)
]
def validate_program(program: Program) -> None:
if not program.terminated or program.executable_blocks < 30:
raise EvaluationError("program is incomplete")
if program.tool_changes != [1, 2]:
raise EvaluationError("expected exactly one T1 change followed by one T2 change")
events_by_tool = {tool: [event for event in program.events if event.tool == tool] for tool in (1, 2)}
if any(event.tool not in (1, 2) for event in program.events):
raise EvaluationError("unexpected cutting tool")
if any(len(events_by_tool[tool]) != 13 for tool in (1, 2)):
raise EvaluationError("each tool must execute exactly thirteen cutting cycles")
for tool, events in events_by_tool.items():
for event in events:
if (
not event.spindle_on
or event.spindle is None
or not close(event.spindle, SPINDLE[tool], 1.0)
or event.feed is None
or not close(event.feed, FEED[tool], 0.8)
or event.wcs is None
or not event.length_comp
or event.h_offset is None
or event.h_offset <= 0
):
raise EvaluationError(f"tool {tool} cycle state is incomplete or incorrect")
transform = find_transform([(event.x, event.y) for event in events_by_tool[1]])
mapped_drill = [transform.apply(event.x, event.y) for event in events_by_tool[2]]
if not nearest_set(mapped_drill, SAFE_POINTS, 0.35):
raise EvaluationError("T2 does not drill the same thirteen safe holes")
for events in events_by_tool.values():
mapped = [transform.apply(event.x, event.y) for event in events]
if any(math.dist(point, forbidden) <= 0.35 for point in mapped for forbidden in FORBIDDEN_POINTS):
raise EvaluationError("forbidden hole appears in a cutting cycle")
drill_bottoms = [event.bottom for event in events_by_tool[2]]
if max(drill_bottoms) - min(drill_bottoms) > 0.35:
raise EvaluationError("inconsistent through-drilling depths")
surface_z = sum(drill_bottoms) / len(drill_bottoms) + 18.0
drill_depths = [surface_z - event.bottom for event in events_by_tool[2]]
spot_depths = [surface_z - event.bottom for event in events_by_tool[1]]
if any(depth < 17.8 or depth > 22.0 for depth in drill_depths):
raise EvaluationError("T2 does not drill through the 18 mm plate")
if any(depth < 0.2 or depth > 3.0 for depth in spot_depths):
raise EvaluationError("T1 does not perform a plausible spotting cut")
for events in events_by_tool.values():
if any(event.return_z < surface_z + 12.8 for event in events):
raise EvaluationError("canned-cycle lateral return plane is below fixture-top clearance")
for segment in program.segments:
if segment.tool not in (1, 2) or segment.wcs is None:
continue
if segment.motion == 1:
raise EvaluationError("unvalidated standalone feed cutting move")
horizontal = math.hypot(segment.end.x - segment.start.x, segment.end.y - segment.start.y)
if horizontal <= 0.05:
continue
if min(segment.start.z, segment.end.z) >= surface_z + 12.8:
continue
radius = TOOL_RADIUS[segment.tool]
for point in sample_segment(segment):
mapped_x, mapped_y = transform.apply(point.x, point.y)
if point.z <= surface_z + 10.05 and any(
rect_distance(mapped_x, mapped_y, rectangle) < radius + 2.95
for rectangle in FIXTURES
):
raise EvaluationError("low lateral tool motion violates fixture clearance")
if segment.motion == 0:
raise EvaluationError("rapid lateral positioning is below the required clearance plane")
def evaluate_text(source: str) -> bool:
try:
validate_program(parse_program(source))
return True
except (EvaluationError, ValueError, OverflowError):
return False
def main() -> bool:
path = TARGET / NC_NAME
if not path.is_file() or path.stat().st_size < 100 or path.stat().st_size > 5_000_000:
return False
return evaluate_text(path.read_text(encoding="utf-8", errors="strict"))
if __name__ == "__main__":
try:
result = main()
except Exception:
result = False
print("True" if result else "False")
raise SystemExit(0)
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