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# SPDX-License-Identifier: LGPL-2.1-or-later
# ***************************************************************************
# * *
# * Copyright (c) 2025 sliptonic sliptonic@freecad.org *
# * *
# * This file is part of FreeCAD. *
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# * FreeCAD is free software: you can redistribute it and/or modify it *
# * under the terms of the GNU Lesser General Public License as *
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# * FreeCAD is distributed in the hope that it will be useful, but *
# * WITHOUT ANY WARRANTY; without even the implied warranty of *
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"""
Spiral facing toolpath generator.
This module implements the spiral clearing pattern for rectangular polygons,
including support for angled rectangles and proper tool engagement.
"""
import FreeCAD
import Path
from . import facing_common
if False:
Path.Log.setLevel(Path.Log.Level.DEBUG, Path.Log.thisModule())
Path.Log.trackModule(Path.Log.thisModule())
else:
Path.Log.setLevel(Path.Log.Level.INFO, Path.Log.thisModule())
def generate_spiral_corners(
start_corner, primary_vec, step_vec, primary_length, step_length, inward_offset
):
"""
Generate the four corners of a spiral layer offset inward from the original polygon.
The start_corner is assumed to be the corner with minimum combined projection
(bottom-left in the primary/step coordinate system). The offset moves inward
by adding positive offsets in both primary and step directions.
"""
# Calculate the four corners of this layer (reduced by inward offset)
adjusted_primary_length = max(0, primary_length - 2 * inward_offset)
adjusted_step_length = max(0, step_length - 2 * inward_offset)
# Move the starting corner inward by the offset amount
# Since start_corner is the minimum projection corner, we move inward by adding offsets
inward_primary = FreeCAD.Vector(primary_vec).multiply(inward_offset)
inward_step = FreeCAD.Vector(step_vec).multiply(inward_offset)
# The actual starting corner for this layer is offset inward
layer_start_corner = FreeCAD.Vector(start_corner).add(inward_primary).add(inward_step)
# Build rectangle from the offset starting corner with reduced dimensions
corner1 = FreeCAD.Vector(layer_start_corner)
corner2 = FreeCAD.Vector(corner1).add(
FreeCAD.Vector(primary_vec).multiply(adjusted_primary_length)
)
corner3 = FreeCAD.Vector(corner2).add(FreeCAD.Vector(step_vec).multiply(adjusted_step_length))
corner4 = FreeCAD.Vector(corner3).add(
FreeCAD.Vector(primary_vec).multiply(-adjusted_primary_length)
)
return [corner1, corner2, corner3, corner4]
def generate_layer_path(
layer_corners,
next_layer_start,
layer_num,
z,
clockwise,
start_corner_index=0,
is_last_layer=False,
):
"""
Generate the toolpath commands for a single spiral layer.
For a true spiral, we do all 4 sides of the rectangle, but the 4th side only goes
partway - it stops at the starting position of the next layer. This creates the
continuous spiral effect.
"""
commands = []
# Set Z coordinate for all corners
for corner in layer_corners:
corner.z = z
# For the first layer, start with a rapid move to the starting corner
if layer_num == 0:
commands.append(
Path.Command(
"G0",
{
"X": layer_corners[start_corner_index].x,
"Y": layer_corners[start_corner_index].y,
"Z": z,
},
)
)
# Generate the path: go around all 4 sides
if clockwise:
# Clockwise: start_corner -> corner 1 -> corner 2 -> corner 3 -> back toward start
for i in range(1, 4):
corner_idx = (start_corner_index + i) % 4
commands.append(
Path.Command(
"G1",
{"X": layer_corners[corner_idx].x, "Y": layer_corners[corner_idx].y, "Z": z},
)
)
# 4th side: go back toward start, but stop at next layer's starting position
if not is_last_layer and next_layer_start:
next_layer_start.z = z
commands.append(
Path.Command("G1", {"X": next_layer_start.x, "Y": next_layer_start.y, "Z": z})
)
else:
# Last layer: complete the rectangle
commands.append(
Path.Command(
"G1",
{
"X": layer_corners[start_corner_index].x,
"Y": layer_corners[start_corner_index].y,
"Z": z,
},
)
)
else:
# Counter-clockwise: start_corner -> corner 3 -> corner 2 -> corner 1 -> back toward start
for i in range(1, 4):
corner_idx = (start_corner_index - i) % 4
commands.append(
Path.Command(
"G1",
{"X": layer_corners[corner_idx].x, "Y": layer_corners[corner_idx].y, "Z": z},
)
)
# 4th side: go back toward start, but stop at next layer's starting position
if not is_last_layer and next_layer_start:
next_layer_start.z = z
commands.append(
Path.Command("G1", {"X": next_layer_start.x, "Y": next_layer_start.y, "Z": z})
)
else:
# Last layer: complete the rectangle
commands.append(
Path.Command(
"G1",
{
"X": layer_corners[start_corner_index].x,
"Y": layer_corners[start_corner_index].y,
"Z": z,
},
)
)
return commands
def spiral(
polygon,
tool_diameter,
stepover_percent,
milling_direction="climb",
reverse=False,
angle_degrees=None,
):
"""
Generate a spiral clearing pattern for rectangular polygons with guaranteed full coverage.
The radial stepover is automatically adjusted (slightly if required to ensure the tool edge reaches exactly the center
in the limiting direction. This eliminates any uncleared areas in the center regardless of stepover% value.
First engagement is preserved exactly at the requested percentage.
"""
import math
import Path
import FreeCAD
from . import facing_common
theta = float(angle_degrees) if angle_degrees is not None else 0.0
primary_vec, step_vec = facing_common.unit_vectors_from_angle(theta)
primary_vec = FreeCAD.Vector(primary_vec).normalize()
step_vec = FreeCAD.Vector(step_vec).normalize()
polygon_info = facing_common.extract_polygon_geometry(polygon)
corners = polygon_info["corners"]
origin = facing_common.select_starting_corner(corners, primary_vec, step_vec, "climb")
min_s, max_s = facing_common.project_bounds(polygon, primary_vec, origin)
min_t, max_t = facing_common.project_bounds(polygon, step_vec, origin)
primary_length = max_s - min_s
step_length = max_t - min_t
tool_radius = tool_diameter / 2.0
stepover_dist = tool_diameter * (stepover_percent / 100.0)
if stepover_dist > tool_diameter * 1.000001:
stepover_dist = tool_diameter
# Calculate adjusted stepover to guarantee center coverage
starting_inset = tool_radius - stepover_dist
limiting_half = min(primary_length, step_length) / 2.0
total_radial_distance = limiting_half - tool_radius - starting_inset
if total_radial_distance <= 0:
actual_stepover = stepover_dist
else:
number_of_intervals = math.ceil(total_radial_distance / stepover_dist)
actual_stepover = total_radial_distance / number_of_intervals
Path.Log.debug(
f"Spiral: adjusted stepover {stepover_dist:.4f} → {actual_stepover:.4f} mm, intervals={number_of_intervals if total_radial_distance > 0 else 0}"
)
# Standard initial_offset (preserves first engagement exactly)
initial_offset = -tool_radius + stepover_dist
z = polygon.BoundBox.ZMin
clockwise = milling_direction == "conventional"
start_corner_index = 0 if clockwise else 2
if reverse:
start_corner_index = (start_corner_index + 2) % 4
commands = []
k = 0
first_move_done = False
while True:
current_offset = initial_offset + k * actual_stepover
s0 = min_s + current_offset
s1 = max_s - current_offset
t0 = min_t + current_offset
t1 = max_t - current_offset
if s0 >= s1 or t0 >= t1:
break
corners_st = [(s0, t0), (s1, t0), (s1, t1), (s0, t1)]
if clockwise:
order = [(start_corner_index + i) % 4 for i in range(4)]
else:
order = [(start_corner_index - i) % 4 for i in range(4)]
def st_to_xy(s, t):
return origin + primary_vec * s + step_vec * t
start_idx = order[0]
start_xy = st_to_xy(*corners_st[start_idx])
start_xy.z = z
if not first_move_done:
commands.append(Path.Command("G0", {"X": start_xy.x, "Y": start_xy.y, "Z": z}))
first_move_done = True
# Sides 1-3: full
for i in range(1, 4):
c_xy = st_to_xy(*corners_st[order[i]])
c_xy.z = z
commands.append(Path.Command("G1", {"X": c_xy.x, "Y": c_xy.y, "Z": z}))
# Prepare transition to next layer (partial 4th side)
next_offset = current_offset + actual_stepover
s0n = min_s + next_offset
s1n = max_s - next_offset
t0n = min_t + next_offset
t1n = max_t - next_offset
if s0n < s1n and t0n < t1n:
# Determine which edge we are on for the 4th side and compute intersection
# the transition point on that edge
if clockwise:
if start_corner_index == 0:
transition_xy = st_to_xy(s0, t0n)
elif start_corner_index == 1:
transition_xy = st_to_xy(s1n, t0)
elif start_corner_index == 2:
transition_xy = st_to_xy(s1, t1n)
else:
transition_xy = st_to_xy(s0n, t1)
else: # counter-clockwise
if start_corner_index == 0:
transition_xy = st_to_xy(s0n, t0)
elif start_corner_index == 1:
transition_xy = st_to_xy(s1, t0n)
elif start_corner_index == 2:
transition_xy = st_to_xy(s1n, t1)
else:
transition_xy = st_to_xy(s0, t1n)
transition_xy.z = z
commands.append(
Path.Command("G1", {"X": transition_xy.x, "Y": transition_xy.y, "Z": z})
)
k += 1
else:
# Final layer - close back to start
commands.append(Path.Command("G1", {"X": start_xy.x, "Y": start_xy.y, "Z": z}))
break
return commands
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