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Copy pathutils.py
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executable file
·1435 lines (1154 loc) · 45.1 KB
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#! /usr/bin/env python
from itertools import zip_longest
from math import ceil, sqrt, atan2, degrees
from solid import union, cube, translate, rotate, square, circle, polygon
from solid import difference, intersection, multmatrix, cylinder, color
from solid import text, linear_extrude, resize
from solid import run_euclid_patch
from solid import OpenSCADObject, Vec3
from euclid3 import Point2, Point3, Vector2, Vector3, Line2, Line3
from euclid3 import LineSegment2, LineSegment3, Matrix4
from textwrap import indent
run_euclid_patch()
# ==========
# = TYPING =
# ==========
from typing import Any, Union, Sequence, Optional, Callable, cast # noqa
Point23 = Union[Point2, Point3]
Vector23 = Union[Vector2, Vector3]
PointVec23 = Union[Point2, Point3, Vector2, Vector3]
Line23 = Union[Line2, Line3]
LineSegment23 = Union[LineSegment2, LineSegment3]
Tuple2 = tuple[float, float]
Tuple3 = tuple[float, float, float]
EucOrTuple = Union[Point3, Vector3, Tuple2, Tuple3]
DirectionLR = float # LEFT or RIGHT in 2D
# =============
# = CONSTANTS =
# =============
EPSILON = 0.01
RIGHT, TOP, LEFT, BOTTOM = range(4)
X, Y, Z = (0, 1, 2)
ORIGIN = (0, 0, 0)
UP_VEC = (0, 0, 1)
RIGHT_VEC = (1, 0, 0)
FORWARD_VEC = (0, 1, 0)
DOWN_VEC = (0, 0, -1)
LEFT_VEC = (-1, 0, 0)
BACK_VEC = (0, -1, 0)
# ==========
# = Colors =
# ==========
# Deprecated, but kept for backwards compatibility . Note that OpenSCAD natively
# accepts SVG Color names, as seen here: https://en.wikibooks.org/wiki/OpenSCAD_User_Manual/Transformations#color
# From Hans Häggström's materials.scad in MCAD: https://github.com/openscad/MCAD
Red = (1, 0, 0)
Green = (0, 1, 0)
Blue = (0, 0, 1)
Cyan = (0, 1, 1)
Magenta = (1, 0, 1)
Yellow = (1, 1, 0)
Black = (0, 0, 0)
White = (1, 1, 1)
Oak = (0.65, 0.50, 0.40)
Pine = (0.85, 0.70, 0.45)
Birch = (0.90, 0.80, 0.60)
FiberBoard = (0.70, 0.67, 0.60)
BlackPaint = (0.20, 0.20, 0.20)
Iron = (0.36, 0.33, 0.33)
Steel = (0.65, 0.67, 0.72)
Stainless = (0.45, 0.43, 0.50)
Aluminum = (0.77, 0.77, 0.80)
Brass = (0.88, 0.78, 0.50)
Transparent = (1, 1, 1, 0.2)
# ==============
# = Grid Plane =
# ==============
def grid_plane(
grid_unit: int = 12, count: int = 10, line_weight: float = 0.1, plane: str = "xz"
) -> OpenSCADObject:
# Draws a grid of thin lines in the specified plane. Helpful for
# reference during debugging.
ls = count * grid_unit
t = union()
t.set_modifier("background")
for i in range(int(-count / 2), int(count / 2 + 1)):
if "xz" in plane:
# xz-plane
h = up(i * grid_unit)(cube([ls, line_weight, line_weight], center=True))
v = right(i * grid_unit)(cube([line_weight, line_weight, ls], center=True))
t.add([h, v])
# xy plane
if "xy" in plane:
h = forward(i * grid_unit)(
cube([ls, line_weight, line_weight], center=True)
)
v = right(i * grid_unit)(cube([line_weight, ls, line_weight], center=True))
t.add([h, v])
# yz plane
if "yz" in plane:
h = up(i * grid_unit)(cube([line_weight, ls, line_weight], center=True))
v = forward(i * grid_unit)(
cube([line_weight, line_weight, ls], center=True)
)
t.add([h, v])
return t
def distribute_in_grid(
objects: Sequence[OpenSCADObject],
max_bounding_box: tuple[float, float],
rows_and_cols: tuple[int, int] = None,
) -> OpenSCADObject:
# Translate each object in objects in a grid with each cell of size
# max_bounding_box.
#
# objects: array of SCAD objects
# max_bounding_box: 2-tuple with x & y dimensions of grid cells.
# if a single number is passed, x & y will both use it
# rows_and_cols: 2-tuple of how many rows and columns to use. If
# not supplied, rows_and_cols will be the smallest square that
# can contain all members of objects (e.g, if len(objects) == 80,
# rows_and_cols will default to (9,9))
# Distributes object in a grid in the xy plane
# with objects spaced max_bounding_box apart
if isinstance(max_bounding_box, (list, tuple)):
x_trans, y_trans = max_bounding_box[0:2]
elif isinstance(max_bounding_box, (int, float, complex)):
x_trans = y_trans = max_bounding_box
else:
pass # TypeError
ret = []
if rows_and_cols:
grid_h, grid_w = rows_and_cols
else:
grid_w = grid_h = int(ceil(sqrt(len(objects))))
objs_placed = 0
for y in range(grid_h):
for x in range(grid_w):
if objs_placed < len(objects):
ret.append(
translate((x * x_trans, y * y_trans, 0))(objects[objs_placed])
)
objs_placed += 1
else:
break
return union()(*ret)
# ==============
# = Directions =
# ==============
def up(z: float) -> OpenSCADObject:
return translate((0, 0, z))
def down(z: float) -> OpenSCADObject:
return translate((0, 0, -z))
def right(x: float) -> OpenSCADObject:
return translate((x, 0, 0))
def left(x: float) -> OpenSCADObject:
return translate((-x, 0, 0))
def forward(y: float) -> OpenSCADObject:
return translate((0, y, 0))
def back(y: float) -> OpenSCADObject:
return translate((0, -y, 0))
# ===========================
# = Box-alignment rotations =
# ===========================
def rot_z_to_up(obj: OpenSCADObject) -> OpenSCADObject:
# NOTE: Null op
return rotate(a=0, v=FORWARD_VEC)(obj)
def rot_z_to_down(obj: OpenSCADObject) -> OpenSCADObject:
return rotate(a=180, v=FORWARD_VEC)(obj)
def rot_z_to_right(obj: OpenSCADObject) -> OpenSCADObject:
return rotate(a=90, v=FORWARD_VEC)(obj)
def rot_z_to_left(obj: OpenSCADObject) -> OpenSCADObject:
return rotate(a=-90, v=FORWARD_VEC)(obj)
def rot_z_to_forward(obj: OpenSCADObject) -> OpenSCADObject:
return rotate(a=-90, v=RIGHT_VEC)(obj)
def rot_z_to_back(obj: OpenSCADObject) -> OpenSCADObject:
return rotate(a=90, v=RIGHT_VEC)(obj)
# ================================
# = Box-aligment and translation =
# ================================
def box_align(
obj: OpenSCADObject,
direction_func: Callable[[float], OpenSCADObject] = up,
distance: float = 0,
) -> OpenSCADObject:
# Given a box side (up, left, etc) and a distance,
# rotate obj (assumed to be facing up) in the
# correct direction and move it distance in that
# direction
trans_and_rot = {
up: rot_z_to_up, # Null
down: rot_z_to_down,
right: rot_z_to_right,
left: rot_z_to_left,
forward: rot_z_to_forward,
back: rot_z_to_back,
}
assert direction_func in trans_and_rot
rot = trans_and_rot[direction_func]
return direction_func(distance)(rot(obj))
# =======================
# = 90-degree Rotations =
# =======================
def rot_z_to_x(obj: OpenSCADObject) -> OpenSCADObject:
return rotate(a=90, v=FORWARD_VEC)(obj)
def rot_z_to_neg_x(obj: OpenSCADObject) -> OpenSCADObject:
return rotate(a=-90, v=FORWARD_VEC)(obj)
def rot_z_to_neg_y(obj: OpenSCADObject) -> OpenSCADObject:
return rotate(a=90, v=RIGHT_VEC)(obj)
def rot_z_to_y(obj: OpenSCADObject) -> OpenSCADObject:
return rotate(a=-90, v=RIGHT_VEC)(obj)
def rot_x_to_y(obj: OpenSCADObject) -> OpenSCADObject:
return rotate(a=90, v=UP_VEC)(obj)
def rot_x_to_neg_y(obj: OpenSCADObject) -> OpenSCADObject:
return rotate(a=-90, v=UP_VEC)(obj)
# =======
# = Arc =
# =======
def arc(
rad: float, start_degrees: float, end_degrees: float, segments: int = None
) -> OpenSCADObject:
# Note: the circle that this arc is drawn from gets segments,
# not the arc itself. That means a quarter-circle arc will
# have segments/4 segments.
bottom_half_square = back(rad)(square([3 * rad, 2 * rad], center=True))
top_half_square = forward(rad)(square([3 * rad, 2 * rad], center=True))
start_shape = circle(rad, segments=segments)
if abs((end_degrees - start_degrees) % 360) <= 180:
end_angle = end_degrees - 180
ret = difference()(
start_shape,
rotate(a=start_degrees)(bottom_half_square.copy()),
rotate(a=end_angle)(bottom_half_square.copy()),
)
else:
ret = intersection()(
start_shape,
union()(
rotate(a=start_degrees)(top_half_square.copy()),
rotate(a=end_degrees)(bottom_half_square.copy()),
),
)
return ret
def arc_inverted(
rad: float, start_degrees: float, end_degrees: float, segments: int = None
) -> OpenSCADObject:
# Return the segment of an arc *outside* the circle of radius rad,
# bounded by two tangents to the circle. This is the shape
# needed for fillets.
# Note: the circle that this arc is drawn from gets segments,
# not the arc itself. That means a quarter-circle arc will
# have segments/4 segments.
# Leave the portion of a circumscribed square of sides
# 2*rad that is NOT in the arc behind. This is most useful for 90-degree
# segments, since it's what you'll add to create fillets and take away
# to create rounds.
# NOTE: an inverted arc is only valid for end_degrees-start_degrees <= 180.
# If this isn't true, end_degrees and start_degrees will be swapped so
# that an acute angle can be found. end_degrees-start_degrees == 180
# will yield a long rectangle of width 2*radius, since the tangent lines
# will be parallel and never meet.
# Fix start/end degrees as needed; find a way to make an acute angle
if end_degrees < start_degrees:
end_degrees += 360
if end_degrees - start_degrees >= 180:
start_degrees, end_degrees = end_degrees, start_degrees
# We want the area bounded by:
# -- the circle from start_degrees to end_degrees
# -- line tangent to the circle at start_degrees
# -- line tangent to the circle at end_degrees
# Note that this shape is only valid if end_degrees - start_degrees < 180,
# since if the two angles differ by more than 180 degrees,
# the tangent lines don't converge
if end_degrees - start_degrees == 180:
raise ValueError(
"Unable to draw inverted arc over 180 or more "
"degrees. start_degrees: %s end_degrees: %s" % (start_degrees, end_degrees)
)
wide = 1000
high = 1000
top_half_square = translate((-(wide - rad), 0, 0))(
square([wide, high], center=False)
)
bottom_half_square = translate((-(wide - rad), -high, 0))(
square([wide, high], center=False)
)
a = rotate(start_degrees)(top_half_square)
b = rotate(end_degrees)(bottom_half_square)
ret = (a * b) - circle(rad, segments=segments)
return ret
# TODO: arc_to that creates an arc from point to another point.
# This is useful for making paths. See the SVG path command:
# See: http://www.w3.org/TR/SVG/implnote.html#ArcImplementationNotes
# ======================
# = Bounding Box Class =
# ======================
class BoundingBox(object):
# A basic Bounding Box representation to enable some more introspection about
# objects. For instance, a BB will let us say "put this new object on top of
# that old one". Bounding Boxes *can't* be relied on for boolean operations
# without compiling in OpenSCAD, so they're limited, but good for some purposes.
# Be careful to understand what things this BB implementation can and
# can't do -ETJ 15 Oct 2013
# Basically you can use a BoundingBox to describe the extents of an object
# the moment it's created, but once you perform any CSG operation on it, it's
# more or less useless.
def __init__(self, size: list[float], loc: list[float] = None):
loc = loc if loc else [0, 0, 0]
# self.w, self.h, self.d = size
# self.x, self.y, self.z = loc
self.set_size(size)
self.set_position(loc)
def size(self) -> list[float]:
return [self.w, self.h, self.d]
def position(self) -> list[float]:
return [self.x, self.y, self.z]
def set_position(self, position: Sequence[float]):
self.x, self.y, self.z = position
def set_size(self, size: Sequence[float]):
self.w, self.h, self.d = size
def split_planar(
self,
cutting_plane_normal: Vec3 = RIGHT_VEC,
cut_proportion: float = 0.5,
add_wall_thickness: float = 0,
) -> list["BoundingBox"]:
cpd = {
RIGHT_VEC: 0,
LEFT_VEC: 0,
FORWARD_VEC: 1,
BACK_VEC: 1,
UP_VEC: 2,
DOWN_VEC: 2,
}
cutting_plane = cpd.get(cutting_plane_normal, 2)
# Figure what the cutting plane offset should be
dim_center = self.position()[cutting_plane]
dim = self.size()[cutting_plane]
dim_min = dim_center - dim / 2
# dim_max = dim_center + dim / 2
# cut_point = (cut_proportion) * dim_min + (1 - cut_proportion) * dim_max
# Now create bounding boxes with the appropriate sizes
part_bbs = []
a_sum = 0.0
for i, part in enumerate([cut_proportion, (1 - cut_proportion)]):
part_size = self.size()
part_size[cutting_plane] = part_size[cutting_plane] * part
part_loc = self.position()
part_loc[cutting_plane] = dim_min + a_sum + dim * (part / 2)
# If extra walls are requested around the slices, add them here
if add_wall_thickness != 0:
# Expand the walls as requested
for j in [X, Y, Z]:
part_size[j] += 2 * add_wall_thickness
# Don't expand in the direction of the cutting_plane, only away
# from it
part_size[cutting_plane] -= add_wall_thickness
# add +/- add_wall_thickness/2 to the location in the
# slicing dimension so we stay at the center of the piece
loc_offset = -add_wall_thickness / 2 + i * add_wall_thickness
part_loc[cutting_plane] += loc_offset
part_bbs.append(BoundingBox(part_size, part_loc))
a_sum += part * dim
return part_bbs
def cube(self, larger: bool = False) -> OpenSCADObject:
c_size = self.size() if not larger else [s + 2 * EPSILON for s in self.size()]
c = translate(self.position())(cube(c_size, center=True))
return c
# ===================
# = Model Splitting =
# ===================
def split_body_planar(
obj: OpenSCADObject,
obj_bb: BoundingBox,
cutting_plane_normal: Vec3 = UP_VEC,
cut_proportion: float = 0.5,
dowel_holes: bool = False,
dowel_rad: float = 4.5,
hole_depth: float = 15,
add_wall_thickness=0,
) -> tuple[OpenSCADObject, BoundingBox, OpenSCADObject, BoundingBox]:
# Split obj along the specified plane, returning two pieces and
# general bounding boxes for each.
# Note that the bounding boxes are NOT accurate to the sections,
# they just indicate which portion of the original BB is in each
# section. Given the limits of OpenSCAD, this is the best we can do
# -ETJ 17 Oct 2013
# Optionally, leave holes in both bodies to allow the pieces to be put
# back together with short dowels.
# Find the splitting bounding boxes
part_bbs = obj_bb.split_planar(
cutting_plane_normal, cut_proportion, add_wall_thickness=add_wall_thickness
)
# And intersect the bounding boxes with the object itself
slices = [obj * part_bb.cube() for part_bb in part_bbs]
# Make holes for dowels if requested.
# In case the bodies need to be aligned properly, make two holes,
# separated by one dowel-width
if dowel_holes:
cpd = {
RIGHT_VEC: 0,
LEFT_VEC: 0,
FORWARD_VEC: 1,
BACK_VEC: 1,
UP_VEC: 2,
DOWN_VEC: 2,
}
cutting_plane = cpd.get(cutting_plane_normal, 2)
dowel = cylinder(r=dowel_rad, h=hole_depth * 2, center=True)
# rotate dowels to correct axis
if cutting_plane != 2:
rot_vec = RIGHT_VEC if cutting_plane == 1 else FORWARD_VEC
dowel = rotate(a=90, v=rot_vec)(dowel)
cut_point = (
part_bbs[0].position()[cutting_plane]
+ part_bbs[0].size()[cutting_plane] / 2
)
# Move dowels away from center of face by 2*dowel_rad in each
# appropriate direction
dowel_trans_a = part_bbs[0].position()
dowel_trans_a[cutting_plane] = cut_point
separation_index = {0: 1, 1: 2, 2: 0}[cutting_plane]
dowel_trans_a[separation_index] -= 2 * dowel_rad
dowel_trans_b = dowel_trans_a[:]
dowel_trans_b[separation_index] += 4 * dowel_rad
dowel_a = translate(dowel_trans_a)(dowel)
dowel_b = translate(dowel_trans_b)(dowel)
dowels = dowel_a + dowel_b
# subtract dowels from each slice
slices = [s - dowels for s in slices]
slices_and_bbs = (slices[0], part_bbs[0], slices[1], part_bbs[1])
return slices_and_bbs
def section_cut_xz(body: OpenSCADObject, y_cut_point: float = 0) -> OpenSCADObject:
big_w = 10000
d = 2
c = forward(d / 2 + y_cut_point)(cube([big_w, d, big_w], center=True))
return c * body
# =====================
# = Bill of Materials =
# =====================
# Any part defined in a method can be automatically counted using the
# `@bom_part()` decorator. After all parts have been created, call
# `bill_of_materials(<SCAD_OBJ>)`
# to generate a report. See `examples/bom_scad.py` for usage
#
# Additional columns can be added (such as leftover material or URL to part)
# by calling `set_bom_headers()` with a series of string arguments.
#
# Calling `bom_part()` with additional, non-keyworded arguments will
# populate the new columns in order of their addition via bom_headers, or
# keyworded arguments can be used in any order.
g_bom_headers: list[str] = []
def set_bom_headers(*args):
global g_bom_headers
g_bom_headers += args
def bom_part(
description: str = "",
per_unit_price: float = None,
currency: str = "US$",
*args,
**kwargs,
) -> Callable:
def wrap(f):
name = description if description else f.__name__
elements = {
"name": name,
"Count": 0,
"currency": currency,
"Unit Price": per_unit_price,
}
# This update also adds empty key value pairs to prevent key exceptions.
elements.update(dict(zip_longest(g_bom_headers, args, fillvalue="")))
elements.update(kwargs)
def wrapped_f(*wargs, **wkwargs):
scad_obj = f(*wargs, **wkwargs)
scad_obj.add_trait("BOM", elements)
return scad_obj
return wrapped_f
return wrap
def bill_of_materials(root_obj: OpenSCADObject, csv: bool = False) -> str:
traits_dicts = _traits_bom_dicts(root_obj)
# Build a single dictionary from the ones stored on each child object
# (This is an adaptation of an earlier version, and probably not the most
# direct way to accomplish this)
all_bom_traits = {}
for traits_dict in traits_dicts:
name = traits_dict["name"]
if name in all_bom_traits:
all_bom_traits[name]["Count"] += 1
else:
all_bom_traits[name] = traits_dict
all_bom_traits[name]["Count"] = 1
bom = _make_bom(all_bom_traits, csv)
return bom
def _traits_bom_dicts(root_obj: OpenSCADObject) -> list[dict[str, float]]:
all_child_traits = [_traits_bom_dicts(c) for c in root_obj.children]
child_traits = [item for subl in all_child_traits for item in subl if item]
bom_trait = root_obj.get_trait("BOM")
if bom_trait:
child_traits.append(bom_trait)
return child_traits
def _make_bom(
bom_parts_dict: dict[str, float],
csv: bool = False,
) -> str:
field_names = ["Description", "Count", "Unit Price", "Total Price"]
field_names += g_bom_headers
rows = []
all_costs: dict[str, float] = {}
for desc, elements in bom_parts_dict.items():
row = []
count = elements["Count"]
currency = elements["currency"]
price = elements["Unit Price"]
if count > 0:
if price:
total = price * count
if currency not in all_costs:
all_costs[currency] = 0
all_costs[currency] += total
unit_price = _currency_str(price, currency)
total_price = _currency_str(total, currency)
else:
unit_price = total_price = ""
row = [desc, count, unit_price, total_price]
for key in g_bom_headers:
value = elements[key]
row.append(value)
rows.append(row)
# Add total costs if we have values to add
if len(all_costs) > 0:
empty_row = [""] * len(field_names)
rows.append(empty_row)
for currency, cost in all_costs.items():
row = empty_row[:]
row[0] = "Total Cost, {currency:>4}".format(**vars())
row[3] = "{currency:>4} {cost:.2f}".format(**vars())
rows.append(row)
res = _table_string(field_names, rows, csv)
return res
def _currency_str(value: float, currency: str = "$") -> str:
return "{currency:>4} {value:.2f}".format(**vars())
def _table_string(
field_names: Sequence[str], rows: Sequence[Sequence[float]], csv: bool = False
) -> str:
# Output a justified table string using the prettytable module.
# Fall back to Excel-ready tab-separated values if prettytable's not found
# or CSV is requested
if not csv:
try:
import prettytable
table = prettytable.PrettyTable(field_names=field_names)
for row in rows:
table.add_row(row)
res = table.get_string()
except ImportError:
print("Unable to import prettytable module. Outputting in TSV format")
csv = True
if csv:
lines = ["\t".join(field_names)]
for row in rows:
line = "\t".join([str(f) for f in row])
lines.append(line)
res = "\n".join(lines)
return res + "\n"
# ================
# = Bounding Box =
# ================
def bounding_box(points: Sequence[EucOrTuple]) -> tuple[Tuple3, Tuple3]:
all_x = []
all_y = []
all_z = []
for p in points:
all_x.append(p[0])
all_y.append(p[1])
if len(p) > 2:
all_z.append(p[2]) # type:ignore
else:
all_z.append(0)
return ((min(all_x), min(all_y), min(all_z)), (max(all_x), max(all_y), max(all_z)))
# =======================
# = Hardware dimensions =
# =======================
screw_dimensions = {
"m3": {
"nut_thickness": 2.4,
"nut_inner_diam": 5.4,
"nut_outer_diam": 6.1,
"screw_outer_diam": 3.0,
"cap_diam": 5.5,
"cap_height": 3.0,
},
"m4": {
"nut_thickness": 3.1,
"nut_inner_diam": 7.0,
"nut_outer_diam": 7.9,
"screw_outer_diam": 4.0,
"cap_diam": 6.9,
"cap_height": 3.9,
},
"m5": {
"nut_thickness": 4.7,
"nut_inner_diam": 7.9,
"nut_outer_diam": 8.8,
"screw_outer_diam": 5.0,
"cap_diam": 8.7,
"cap_height": 5,
},
}
bearing_dimensions = {
"608": {"inner_d": 8, "outer_d": 22, "thickness": 7},
"688": {"inner_d": 8, "outer_d": 16, "thickness": 5},
"686": {"inner_d": 6, "outer_d": 13, "thickness": 5},
"626": {"inner_d": 6, "outer_d": 19, "thickness": 6},
"625": {"inner_d": 5, "outer_d": 16, "thickness": 5},
"624": {"inner_d": 4, "outer_d": 13, "thickness": 5},
"623": {"inner_d": 3, "outer_d": 10, "thickness": 4},
"603": {"inner_d": 3, "outer_d": 9, "thickness": 5},
"633": {"inner_d": 3, "outer_d": 13, "thickness": 5},
}
def screw(screw_type: str = "m3", screw_length: float = 16) -> OpenSCADObject:
dims = screw_dimensions[screw_type.lower()]
shaft_rad = dims["screw_outer_diam"] / 2
cap_rad = dims["cap_diam"] / 2
cap_height = dims["cap_height"]
ret = union()(
cylinder(shaft_rad, screw_length + EPSILON),
up(screw_length)(cylinder(cap_rad, cap_height)),
)
return ret
def nut(screw_type: str = "m3") -> OpenSCADObject:
dims = screw_dimensions[screw_type.lower()]
outer_rad = dims["nut_outer_diam"]
inner_rad = dims["screw_outer_diam"]
ret = difference()(circle(outer_rad, segments=6), circle(inner_rad))
return ret
def bearing(bearing_type: str = "624") -> OpenSCADObject:
dims = bearing_dimensions[bearing_type.lower()]
outerR = dims["outer_d"] / 2
innerR = dims["inner_d"] / 2
thickness = dims["thickness"]
bearing = cylinder(outerR, thickness)
bearing.add_param("$fs", 1)
hole = cylinder(innerR, thickness + 2)
hole.add_param("$fs", 1)
bearing = difference()(bearing, translate([0, 0, -1])(hole))
return bearing
# =========
# = LABEL =
# =========
def label(
a_str: str,
width: float = 15,
halign: str = "left",
valign: str = "baseline",
size: int = 10,
depth: float = 0.5,
lineSpacing: float = 1.15,
font: str = "MgOpen Modata:style=Bold",
segments: int = 40,
spacing: int = 1,
) -> OpenSCADObject:
"""Renders a multi-line string into a single 3D object.
__author__ = 'NerdFever.com'
__copyright__ = 'Copyright 2018-2019 NerdFever.com'
__version__ = ''
__email__ = 'dave@nerdfever.com'
__status__ = 'Development'
__license__ = Copyright 2018-2019 NerdFever.com
"""
lines = a_str.splitlines()
texts = []
for idx, line in enumerate(lines):
t = text(
text=line, halign=halign, valign=valign, font=font, spacing=spacing
).add_param("$fn", segments)
t = linear_extrude(height=1)(t)
t = translate([0, -size * idx * lineSpacing, 0])(t)
texts.append(t)
result = union()(texts)
result = resize([width, 0, depth])(result)
result = translate([0, (len(lines) - 1) * size / 2, 0])(result)
return result
# ==================
# = PyEuclid Utils =
# ==================
def euclidify(
an_obj: EucOrTuple, intended_class: type = Vector3
) -> Union[Point23, Vector23, list[Union[Point23, Vector23]]]:
"""
Accept an object or list of objects of any relevant type (2-tuples, 3-tuples, Vector2/3, Point2/3)
and return one or more euclid3 objects of intended_class.
# -- 3D input has its z-values dropped when intended_class is 2D
# -- 2D input has its z-values set to 0 when intended_class is 3D
The general idea is to take in data in whatever form is handy to users
and return euclid3 types with vector math capabilities
"""
sequence = (list, tuple)
euclidable = (list, tuple, Vector2, Vector3, Point2, Point3)
# numeric = (int, float)
# If this is a list of lists, return a list of euclid objects
if isinstance(an_obj, sequence) and isinstance(an_obj[0], euclidable):
return list((_euc_obj(ao, intended_class) for ao in an_obj))
elif isinstance(an_obj, euclidable):
return _euc_obj(an_obj, intended_class)
else:
raise TypeError(f"""Object: {an_obj} ought to be PyEuclid class
{intended_class.__name__} or able to form one, but is not.""")
def _euc_obj(an_obj: Any, intended_class: type = Vector3) -> Union[Point23, Vector23]:
"""Take a single object (not a list of them!) and return a euclid type
# If given a euclid obj, return the desired type,
# -- 3d types are projected to z=0 when intended_class is 2D
# -- 2D types are projected to z=0 when intended class is 3D
_euc_obj( Vector3(0,1,2), Vector3) -> Vector3(0,1,2)
_euc_obj( Vector3(0,1,2), Point3) -> Point3(0,1,2)
_euc_obj( Vector2(0,1), Vector3) -> Vector3(0,1,0)
_euc_obj( Vector2(0,1), Point3) -> Point3(0,1,0)
_euc_obj( (0,1), Vector3) -> Vector3(0,1,0)
_euc_obj( (0,1), Point3) -> Point3(0,1,0)
_euc_obj( (0,1), Point2) -> Point2(0,1,0)
_euc_obj( (0,1,2), Point2) -> Point2(0,1)
_euc_obj( (0,1,2), Point3) -> Point3(0,1,2)
"""
elts_in_constructor = 3
if intended_class in (Point2, Vector2):
elts_in_constructor = 2
result = intended_class(*an_obj[:elts_in_constructor])
return result
def euc_to_arr(euc_obj_or_list: EucOrTuple) -> list[float]: # Inverse of euclidify()
# Call as_arr on euc_obj_or_list or on all its members if it's a list
result: list[float] = []
if hasattr(euc_obj_or_list, "as_arr"):
result = euc_obj_or_list.as_arr() # type: ignore
elif isinstance(euc_obj_or_list, (list, tuple)) and hasattr(
euc_obj_or_list[0], "as_arr"
):
result = [euc_to_arr(p) for p in euc_obj_or_list] # type: ignore
else:
# euc_obj_or_list is neither an array-based PyEuclid object,
# nor a list of them. Assume it's a list of points or vectors,
# and return the list unchanged. We could be wrong about this,
# though.
result = euc_obj_or_list # type: ignore
return result
def project_to_2D(euc_obj: Union[Point23, Vector23]) -> Union[Vector2, Point2]:
"""
Given a Point3/Vector3, return a Point2/Vector2 ignoring the original Z coordinate
"""
result: Union[Vector2, Point2] = None
if isinstance(euc_obj, (Point2, Vector2)):
result = euc_obj
elif isinstance(euc_obj, Point3):
result = Point2(euc_obj.x, euc_obj.y)
elif isinstance(euc_obj, Vector3):
result = Vector2(euc_obj.x, euc_obj.y)
else:
raise ValueError(f"Can't transform object {euc_obj} to a Point2 or Vector2")
return result
def is_scad(obj: OpenSCADObject) -> bool:
return isinstance(obj, OpenSCADObject)
def scad_matrix(euclid_matrix4):
a = euclid_matrix4
return [
[a.a, a.b, a.c, a.d],
[a.e, a.f, a.g, a.h],
[a.i, a.j, a.k, a.l],
[a.m, a.n, a.o, a.p],
]
def centroid(points: Sequence[PointVec23]) -> PointVec23:
if not points:
raise ValueError("centroid(): argument `points` is empty")
first = points[0]
is_3d = isinstance(first, (Vector3, Point3))
if is_3d:
total = Vector3(0, 0, 0)
else:
total = Vector2(0, 0)
for p in points:
total += p
total /= len(points)
if isinstance(first, Point2):
return Point2(*total)
elif isinstance(first, Point3):
return Point3(*total)
else:
return total
# ==============
# = Transforms =
# ==============
def transform_to_point(
body: OpenSCADObject,
dest_point: Point3,
dest_normal: Vector3,
src_point: Point3 = Point3(0, 0, 0),
src_normal: Vector3 = Vector3(0, 1, 0),
src_up: Vector3 = Vector3(0, 0, 1),
) -> OpenSCADObject:
# Transform body to dest_point, looking at dest_normal.
# Orientation & offset can be changed by supplying the src arguments
# Body may be:
# -- an openSCAD object
# -- a list of 3-tuples or PyEuclid Point3s
# -- a single 3-tuple or Point3
dest_point = euclidify(dest_point, Point3)
dest_normal = euclidify(dest_normal, Vector3)
at = dest_point + dest_normal
EUC_UP = euclidify(UP_VEC)
EUC_FORWARD = euclidify(FORWARD_VEC)
EUC_ORIGIN = euclidify(ORIGIN, Vector3)
# if dest_normal and src_up are parallel, the transform collapses
# all points to dest_point. Instead, use EUC_FORWARD if needed
if dest_normal.cross(src_up) == EUC_ORIGIN:
if src_up.cross(EUC_UP) == EUC_ORIGIN:
src_up = EUC_FORWARD
else:
src_up = EUC_UP
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