cosplay: Touhou/Houjuu Nue #4

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aniva wants to merge 189 commits from touhou/houjuu-nue into main
6 changed files with 98 additions and 23 deletions
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@ -4,7 +4,7 @@ Geometry functions
from typing import Tuple
import math
def contraction_actuator_span_pos(
def min_radius_contraction_span_pos(
d_open: float,
d_closed: float,
theta: float,
@ -20,6 +20,9 @@ def contraction_actuator_span_pos(
fully open (resp. closed), `Q` be the position of the back of the actuator,
we note that `OP = OP' = OQ`.
"""
assert d_open > d_closed
assert 0 < theta < math.pi
pq2 = d_open * d_open
p_q2 = d_closed * d_closed
# angle of PQP'
@ -30,3 +33,32 @@ def contraction_actuator_span_pos(
# Law of cosines on POQ:
phi = math.acos(1 - pq2 / 2 / r2)
return math.sqrt(r2), phi
def min_tangent_contraction_span_pos(
d_open: float,
d_closed: float,
theta: float,
) -> Tuple[float, float, float]:
"""
Returns `(r, phi, r')` where `r` is the distance of the arm to origin, `r'`
is the distance of the base to origin, and `phi` the angle in the open
state.
"""
assert d_open > d_closed
assert 0 < theta < math.pi
# Angle of OPQ = OPP'
pp_ = d_open - d_closed
pq = d_open
p_q = d_closed
a = (math.pi - theta) / 2
# Law of sines on POP'
r = math.sin(a) / math.sin(theta) * pp_
# Law of cosine on OPQ
oq = math.sqrt(r * r + pq * pq - 2 * r * pq * math.cos(a))
# Law of sines on OP'Q. Not using OPQ for numerical reasons since the angle
# `phi` could be very close to `pi/2`
phi_ = math.asin(math.sin(a) / oq * p_q)
phi = phi_ + theta
assert theta <= phi < math.pi
return r, phi, oq

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@ -80,11 +80,12 @@ class TestChecks(unittest.TestCase):
class TestGeometry(unittest.TestCase):
def test_actuator_arm_pos(self):
do = 70.0
dc = 40.0
theta = math.radians(35.0)
r, phi = nhf.geometry.contraction_actuator_span_pos(do, dc, theta)
def test_min_radius_contraction_span_pos(self):
sl = 50.0
dc = 112.0
do = dc + sl
theta = math.radians(60.0)
r, phi = nhf.geometry.min_radius_contraction_span_pos(do, dc, theta)
with self.subTest(state='open'):
x = r * math.cos(phi)
y = r * math.sin(phi)
@ -95,6 +96,22 @@ class TestGeometry(unittest.TestCase):
y = r * math.sin(phi - theta)
d = math.sqrt((x - r) ** 2 + y ** 2)
self.assertAlmostEqual(d, dc)
def test_min_tangent_contraction_span_pos(self):
sl = 50.0
dc = 112.0
do = dc + sl
theta = math.radians(60.0)
r, phi, rp = nhf.geometry.min_tangent_contraction_span_pos(do, dc, theta)
with self.subTest(state='open'):
x = r * math.cos(phi)
y = r * math.sin(phi)
d = math.sqrt((x - rp) ** 2 + y ** 2)
self.assertAlmostEqual(d, do)
with self.subTest(state='closed'):
x = r * math.cos(phi - theta)
y = r * math.sin(phi - theta)
d = math.sqrt((x - rp) ** 2 + y ** 2)
self.assertAlmostEqual(d, dc)
class TestUtils(unittest.TestCase):

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@ -338,29 +338,39 @@ class Flexor:
@property
def mount_height(self):
return self.bracket.hole_to_side_ext
@property
def min_serviceable_distance(self):
return self.bracket.hole_to_side_ext * 2 + self.actuator.conn_length
@property
def max_serviceable_distance(self):
return self.min_serviceable_distance + self.actuator.stroke_length
def open_pos(self) -> Tuple[float, float]:
r, phi = nhf.geometry.contraction_actuator_span_pos(
def open_pos(self) -> Tuple[float, float, float]:
r, phi, r_ = nhf.geometry.min_tangent_contraction_span_pos(
d_open=self.actuator.conn_length + self.actuator.stroke_length,
d_closed=self.actuator.conn_length,
theta=math.radians(self.motion_span)
theta=math.radians(self.motion_span),
)
return r, math.degrees(phi)
return r, math.degrees(phi), r_
#r, phi = nhf.geometry.min_radius_contraction_span_pos(
# d_open=self.actuator.conn_length + self.actuator.stroke_length,
# d_closed=self.actuator.conn_length,
# theta=math.radians(self.motion_span),
#)
#return r, math.degrees(phi), r
r, phi, r_ = nhf.geometry.min_tangent_contraction_span_pos(
d_open=self.actuator.conn_length + self.actuator.stroke_length,
d_closed=self.actuator.conn_length,
theta=math.radians(self.motion_span),
)
return r, math.degrees(phi), r_
def target_length_at_angle(
self,
angle: float = 0.0
) -> float:
# law of cosines
r, phi = self.open_pos()
"""
Length of the actuator at some angle
"""
r, phi, rp = self.open_pos()
th = math.radians(phi - angle)
d2 = 2 * r * r * (1 - math.cos(th))
return math.sqrt((r * math.cos(th) - rp) ** 2 + (r * math.sin(th)) ** 2)
# Law of cosines
d2 = r * r + rp * rp - 2 * r * rp * math.cos(th)
return math.sqrt(d2)

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@ -943,8 +943,8 @@ class ElbowJoint(Model):
loc_mount = Cq.Location.from2d(self.flexor.mount_height, 0) * Cq.Location.rot2d(180)
loc_mount_orient = Cq.Location.rot2d(self.flexor_mount_rot * (-1 if child else 1))
# Moves the hole to be some distance apart from 0
mount_r, mount_loc_angle = self.flexor.open_pos()
loc_span = Cq.Location.from2d(mount_r, 0)
mount_r, mount_loc_angle, mount_parent_r = self.flexor.open_pos()
loc_span = Cq.Location.from2d(mount_r if child else mount_parent_r, 0)
r = (-mount_loc_angle if child else 0) + 180
loc_rot = Cq.Location.rot2d(r + self.flexor_offset_angle)
return loc_rot * loc_span * loc_mount_orient * loc_mount * loc_thickness
@ -1055,6 +1055,7 @@ class ElbowJoint(Model):
@assembly()
def assembly(self, angle: float = 0) -> Cq.Assembly:
assert 0 <= angle <= self.motion_span
result = (
Cq.Assembly()
.addS(self.child_joint(), name="child",

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@ -2,8 +2,23 @@ import unittest
import cadquery as Cq
import nhf.touhou.houjuu_nue as M
import nhf.touhou.houjuu_nue.joints as MJ
import nhf.touhou.houjuu_nue.electronics as ME
from nhf.checks import pairwise_intersection
class TestElectronics(unittest.TestCase):
def test_flexor(self):
flexor = ME.Flexor(
motion_span=60,
)
self.assertAlmostEqual(
flexor.target_length_at_angle(0),
flexor.actuator.stroke_length + flexor.actuator.conn_length)
self.assertAlmostEqual(
flexor.target_length_at_angle(flexor.motion_span),
flexor.actuator.conn_length)
class TestJoints(unittest.TestCase):
def test_shoulder_collision_of_torsion_joint(self):

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@ -6,6 +6,7 @@ import math
from enum import Enum
from dataclasses import dataclass, field
from typing import Mapping, Tuple, Optional
import cadquery as Cq
from nhf import Material, Role
from nhf.build import Model, TargetKind, target, assembly, submodel
@ -71,8 +72,7 @@ class WingProfile(Model):
parent_arm_radius=30.0,
hole_diam=4.0,
angle_neutral=-30.0,
# The left side wrist is too small for an actuator to work
actuator=None, #LINEAR_ACTUATOR_10,
actuator=LINEAR_ACTUATOR_10,
))
# Distance between the two spacers on the elbow, halved
wrist_h2: float = 5.0