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Original file line number | Diff line number | Diff line change |
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from .template import Template # noqa: F401 | ||
from .template import Template | ||
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from .arch import ArchTemplate # noqa: F401 | ||
from .dome import DomeTemplate # noqa: F401 | ||
from .wall import WallTemplate # noqa: F401 | ||
from .arch import ArchTemplate | ||
from .barrel import BarrelVaultTemplate | ||
from .dome import DomeTemplate | ||
from .wall import WallTemplate | ||
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__all__ = [ | ||
"Template", | ||
"ArchTemplate", | ||
"BarrelVaultTemplate", | ||
"DomeTemplate", | ||
"WallTemplate", | ||
] |
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from math import radians | ||
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from compas.datastructures import Mesh | ||
from compas.geometry import Rotation | ||
from compas.geometry import add_vectors | ||
from compas.geometry import angle_vectors | ||
from compas.geometry import subtract_vectors | ||
from compas.geometry import transform_points | ||
from compas.geometry import translate_points | ||
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from .template import Template | ||
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class BarrelVaultTemplate(Template): | ||
"""Create voussoir geometry for a semi-circular arch with given rise and span. | ||
Parameters | ||
---------- | ||
span : float | ||
span of the vault | ||
length : float | ||
length of the vault perpendicular to the span | ||
thickness : float | ||
thickness of the vault | ||
rise : float | ||
rise of the vault from 0.0 to middle axis of the vault thickness | ||
vou_span : int | ||
number of voussoirs in the span direction | ||
vou_length : int | ||
number of voussoirs in the length direction | ||
zero_is_centerline_or_lowestpoint : bool | ||
if True, the lowest point of the vault is at the center line of the arch, otherwise the center line of the vault is lowest mesh z-coordinate. | ||
""" | ||
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def __init__( | ||
self, | ||
span: float = 6.0, | ||
length: float = 6.0, | ||
thickness: float = 0.25, | ||
rise: float = 0.6, | ||
vou_span: int = 9, | ||
vou_length: int = 6, | ||
zero_is_centerline_or_lowest_point: bool = False, | ||
): | ||
super().__init__() | ||
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self.span = span | ||
self.length = length | ||
self.thickness = thickness | ||
self.rise = rise | ||
self.vou_span = vou_span | ||
self.vou_length = vou_length | ||
self.zero_is_centerline_or_lowest_point = zero_is_centerline_or_lowest_point | ||
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def blocks(self) -> list[Mesh]: | ||
"""Compute the blocks. | ||
Returns | ||
------- | ||
list | ||
A list of blocks defined as simple meshes. | ||
""" | ||
span = self.span | ||
length = self.length | ||
thickness = self.thickness | ||
rise = self.rise | ||
vou_span = self.vou_span | ||
vou_length = self.vou_length | ||
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radius: float = rise / 2 + span**2 / (8 * rise) | ||
top: list[float] = [0, 0, rise] | ||
left: list[float] = [-span / 2, 0, 0] | ||
center: list[float] = [0.0, 0.0, rise - radius] | ||
vector: list[float] = subtract_vectors(left, center) | ||
springing: float = angle_vectors(vector, [-1.0, 0.0, 0.0]) | ||
sector: float = radians(180) - 2 * springing | ||
angle: float = sector / vou_span | ||
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a: list[float] = [0, -length / 2, rise - (thickness / 2)] | ||
d: list[float] = add_vectors(top, [0, -length / 2, (thickness / 2)]) | ||
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R: Rotation = Rotation.from_axis_and_angle([0, 1.0, 0], 0.5 * sector, center) | ||
bottom: list[list[float]] = transform_points([a, d], R) | ||
brick_pts: list[list[list[float]]] = [] | ||
for i in range(vou_span + 1): | ||
R_angle: Rotation = Rotation.from_axis_and_angle([0, 1.0, 0], -angle * i, center) | ||
points: list[list[float]] = transform_points(bottom, R_angle) | ||
brick_pts.append(points) | ||
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depth: float = length / vou_length | ||
grouped_data: list[list[float]] = [pair[0] + pair[1] for pair in zip(brick_pts, brick_pts[1:])] | ||
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meshes: list[Mesh] = [] | ||
for i in range(vou_length): | ||
for l, group in enumerate(grouped_data): # noqa: E741 | ||
is_support: bool = l == 0 or l == (len(grouped_data) - 1) | ||
if l % 2 == 0: | ||
point_l: list[list[float]] = [group[0], group[1], group[2], group[3]] | ||
point_list: list[list[float]] = [ | ||
[group[0][0], group[0][1] + (depth * i), group[0][2]], | ||
[group[1][0], group[1][1] + (depth * i), group[1][2]], | ||
[group[2][0], group[2][1] + (depth * i), group[2][2]], | ||
[group[3][0], group[3][1] + (depth * i), group[3][2]], | ||
] | ||
p_t: list[list[float]] = translate_points(point_l, [0, depth * (i + 1), 0]) | ||
vertices: list[list[float]] = point_list + p_t | ||
faces: list[list[int]] = [[0, 1, 3, 2], [0, 4, 5, 1], [4, 6, 7, 5], [6, 2, 3, 7], [1, 5, 7, 3], [2, 6, 4, 0]] | ||
mesh: Mesh = Mesh.from_vertices_and_faces(vertices, faces) | ||
mesh.attributes["is_support"] = is_support | ||
meshes.append(mesh) | ||
else: | ||
point_l: list[list[float]] = [group[0], group[1], group[2], group[3]] | ||
points_base: list[list[float]] = translate_points(point_l, [0, depth / 2, 0]) | ||
points_b_t: list[list[float]] = translate_points(points_base, [0, depth * i, 0]) | ||
points_t: list[list[float]] = translate_points(points_base, [0, depth * (i + 1), 0]) | ||
vertices: list[list[float]] = points_b_t + points_t | ||
if i != vou_length - 1: | ||
faces: list[list[int]] = [[0, 1, 3, 2], [0, 4, 5, 1], [4, 6, 7, 5], [6, 2, 3, 7], [1, 5, 7, 3], [2, 6, 4, 0]] | ||
mesh: Mesh = Mesh.from_vertices_and_faces(vertices, faces) | ||
mesh.attributes["is_support"] = is_support | ||
meshes.append(mesh) | ||
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for l, group in enumerate(grouped_data): # noqa: E741 | ||
is_support: bool = l == 0 or l == (len(grouped_data) - 1) | ||
if l % 2 != 0: | ||
point_l: list[list[float]] = [group[0], group[1], group[2], group[3]] | ||
p_t: list[list[float]] = translate_points(point_l, [0, depth / 2, 0]) | ||
vertices: list[list[float]] = point_l + p_t | ||
faces: list[list[int]] = [[0, 1, 3, 2], [0, 4, 5, 1], [4, 6, 7, 5], [6, 2, 3, 7], [1, 5, 7, 3], [2, 6, 4, 0]] | ||
mesh: Mesh = Mesh.from_vertices_and_faces(vertices, faces) | ||
mesh.attributes["is_support"] = is_support | ||
meshes.append(mesh) | ||
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point_f: list[list[float]] = translate_points(point_l, [0, length, 0]) | ||
p_f: list[list[float]] = translate_points(point_f, [0, -depth / 2, 0]) | ||
vertices: list[list[float]] = p_f + point_f | ||
faces: list[list[int]] = [[0, 1, 3, 2], [0, 4, 5, 1], [4, 6, 7, 5], [6, 2, 3, 7], [1, 5, 7, 3], [2, 6, 4, 0]] | ||
mesh: Mesh = Mesh.from_vertices_and_faces(vertices, faces) | ||
mesh.attributes["is_support"] = is_support | ||
meshes.append(mesh) | ||
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# Find the lowest z-coordinate and move all the block to zero. | ||
if not self.zero_is_centerline_or_lowest_point: | ||
min_z: float = min([min(mesh.vertex_coordinates(key)[2] for key in mesh.vertices()) for mesh in meshes]) | ||
for mesh in meshes: | ||
mesh.translate([0, 0, -min_z]) | ||
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return meshes |