277 lines
11 KiB
Python
277 lines
11 KiB
Python
#!/usr/bin/env python3
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# Copyright (C) 2019 chrysn <chrysn@fsfe.org>
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#
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# This program is free software: you can redistribute it and/or modify
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# it under the terms of the GNU General Public License as published by
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# the Free Software Foundation, either version 3 of the License, or
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# (at your option) any later version.
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#
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# This program is distributed in the hope that it will be useful,
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# but WITHOUT ANY WARRANTY; without even the implied warranty of
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# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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# GNU General Public License for more details.
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#
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# You should have received a copy of the GNU General Public License
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# along with this program. If not, see <http://www.gnu.org/licenses/>.
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from math import sqrt, pi, sin, cos
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from boxes import *
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def offset_radius_in_square(squareside, angle, outset):
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"""From the centre of a square, rotate by an angle relative to the
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vertical, move away from the center (down if angle = 0), and then in a
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right angle until the border of the square. Return the length of that last
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segment.
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Note that for consistency with other boxes.py methods, angle is given in
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degree.
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>>> # Without rotation, it's always half the square length
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>>> offset_radius_in_square(20, 0, 0)
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10.0
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>>> offset_radius_in_square(20, 0, 5)
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10.0
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>>> # Without offset, it's half squre length divided by cos(angle) -- at
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>>> # least before it hits the next wall
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>>> offset_radius_in_square(20, 15, 0) # doctest:+ELLIPSIS
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10.35276...
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>>> offset_radius_in_square(20, 45, 0) # doctest:+ELLIPSIS
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14.1421...
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>>> # Positive angles make the segment initially shorter...
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>>> offset_radius_in_square(20, 5, 10) < 10
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True
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>>> # ... while negative angles make it longer.
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>>> offset_radius_in_square(20, -5, 10) > 10
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True
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"""
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if angle <= -90:
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return offset_radius_in_square(squareside, angle + 180, outset)
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if angle > 90:
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return offset_radius_in_square(squareside, angle - 180, outset)
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angle = angle / 180 * pi
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step_right = outset * sin(angle)
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step_down = outset * cos(angle)
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try:
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len_right = (squareside / 2 - step_right) / cos(angle)
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except ZeroDivisionError:
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return squareside / 2
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if angle == 0:
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return len_right
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if angle > 0:
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len_up = (squareside / 2 + step_down) / sin(angle)
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return min(len_up, len_right)
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else: # angle < 0
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len_down = - (squareside / 2 - step_down) / sin(angle)
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return min(len_down, len_right)
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class DiscRack(Boxes):
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"""A rack for storing disk-shaped objects vertically next to each other"""
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ui_group = "Shelf"
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def __init__(self):
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Boxes.__init__(self)
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self.buildArgParser(sx="20*10")
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self.argparser.add_argument(
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"--disc_diameter", action="store", type=float, default=150.0,
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help="Disc diameter in mm")
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self.argparser.add_argument(
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"--disc_thickness", action="store", type=float, default=5.0,
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help="Thickness of the discs in mm")
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self.argparser.add_argument(
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"--lower_factor", action="store", type=float, default=0.75,
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help="Position of the lower rack grids along the radius")
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self.argparser.add_argument(
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"--rear_factor", action="store", type=float, default=0.75,
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help="Position of the rear rack grids along the radius")
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self.argparser.add_argument(
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"--disc_outset", action="store", type=float, default=3.0,
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help="Additional space kept between the disks and the outbox of the rack")
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# These can be parameterized, but the default value of pulling them up
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# to the box front is good enough for so many cases it'd only clutter
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# the user interface.
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#
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# The parameters can be resurfaced when there is something like rare or
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# advanced settings.
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'''
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self.argparser.add_argument(
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"--lower_outset", action="store", type=float, default=0.0,
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help="Space in front of the disk slits (0: automatic)")
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self.argparser.add_argument(
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"--rear_outset", action="store", type=float, default=0.0,
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help="Space above the disk slits (0: automatic)")
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'''
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self.argparser.add_argument(
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"--angle", action="store", type=float, default=18,
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help="Backwards slant of the rack")
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self.addSettingsArgs(edges.FingerJointSettings)
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def parseArgs(self, *args, **kwargs):
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Boxes.parseArgs(self, *args, **kwargs)
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self.lower_outset = self.rear_outset = 0
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self.calculate()
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def calculate(self):
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self.outer = self.disc_diameter + 2 * self.disc_outset
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r = self.disc_diameter / 2
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# distance between radius line and front (or rear) end of the slit
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self.lower_halfslit = r * sqrt(1 - self.lower_factor**2)
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self.rear_halfslit = r * sqrt(1 - self.rear_factor**2)
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if True: # self.lower_outset == 0: # when lower_outset parameter is re-enabled
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toplim = offset_radius_in_square(self.outer, self.angle, r * self.lower_factor)
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# With typical positive angles, the lower surface of board will be limiting
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bottomlim = offset_radius_in_square(self.outer, self.angle, r * self.lower_factor + self.thickness)
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self.lower_outset = min(toplim, bottomlim) - self.lower_halfslit
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if True: # self.rear_outset == 0: # when rear_outset parameter is re-enabled
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# With typical positive angles, the upper surface of board will be limiting
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toplim = offset_radius_in_square(self.outer, -self.angle, r * self.rear_factor)
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bottomlim = offset_radius_in_square(self.outer, -self.angle, r * self.rear_factor + self.thickness)
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self.rear_outset = min(toplim, bottomlim) - self.rear_halfslit
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# front outset, space to radius, space to rear part, plus nothing as fingers extend out
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self.lower_size = self.lower_outset + \
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self.lower_halfslit + \
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r * self.rear_factor
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self.rear_size = r * self.lower_factor + \
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self.rear_halfslit + \
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self.rear_outset
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self.warn_on_demand()
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def warn_on_demand(self):
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warnings = []
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# Are the discs supported on the outer ends?
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def word_thickness(length):
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if length > 0:
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return "very thin (%.2g mm at a thickness of %.2g mm)" % (
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length, self.thickness)
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if length < 0:
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return "absent"
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if self.rear_outset < self.thickness:
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warnings.append("Rear upper constraint is %s. Consider increasing"
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" the disc outset parameter, or move the angle away from 45°."
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% word_thickness(self.rear_outset)
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)
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if self.lower_outset < self.thickness:
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warnings.append("Lower front constraint is %s. Consider increasing"
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" the disc outset parameter, or move the angle away from 45°."
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% word_thickness(self.lower_outset))
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# Are the discs supported where the grids meet?
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r = self.disc_diameter / 2
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inner_lowerdistance = r * self.rear_factor - self.lower_halfslit
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inner_reardistance = r * self.lower_factor - self.rear_halfslit
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if inner_lowerdistance < 0 or inner_reardistance < 0:
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warnings.append("Corner is inside the disc radios, discs would not"
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" be supported. Consider increasing the factor parameters.")
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# Won't the type-H edge on the rear side make the whole contraption
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# wiggle?
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max_slitlengthplush = offset_radius_in_square(
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self.outer, self.angle, r * self.rear_factor + self.thickness)
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slitlengthplush = self.rear_halfslit + self.thickness * ( 1 +
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self.edgesettings['FingerJoint']['edge_width'])
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if slitlengthplush > max_slitlengthplush:
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warnings.append("Joint would protrude from lower box edge. Consider"
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" increasing the the disc outset parameter, or move the"
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" angle away from 45°.")
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# Can the discs be removed at all?
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# Does not need explicit checking, for Thales' theorem tells us that at
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# the point wher there is barely support in the corner, three contact
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# points on the circle form just a demicircle and the discs can be
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# inserted/removed. When we keep the other contact points and move the
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# slits away from the corner, the disc gets smaller and thus will fit
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# through the opening that is as wide as the diameter of the largest
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# possible circle.
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# Act on warnings
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if warnings:
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self.argparser.error("\n".join(warnings))
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def sidewall_holes(self):
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r = self.disc_diameter / 2
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self.moveTo(self.outer/2, self.outer/2, -self.angle)
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# can now move down to paint horizontal lower part, or right to paint
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# vertical rear part
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with self.saved_context():
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self.moveTo(
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r * self.rear_factor,
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-r * self.lower_factor - self.thickness/2,
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90)
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self.fingerHolesAt(0, 0, self.lower_size)
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with self.saved_context():
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self.moveTo(
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r * self.rear_factor + self.thickness/2,
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-r * self.lower_factor,
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0)
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self.fingerHolesAt(0, 0, self.rear_size)
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if self.debug:
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self.circle(0, 0, self.disc_diameter / 2)
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def _draw_slits(self, inset, halfslit):
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total_x = 0
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for x in self.sx:
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center_x = total_x + x / 2
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total_x += x
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self.rectangularHole(inset, center_x, 2 * halfslit, self.disc_thickness)
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if self.debug:
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self.ctx.rectangle(inset - halfslit, center_x - x/2, 2 * halfslit, x)
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def lower_holes(self):
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r = self.disc_diameter / 2
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inset = self.lower_outset + self.lower_halfslit
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self._draw_slits(inset, self.lower_halfslit)
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def rear_holes(self):
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r = self.disc_diameter / 2
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inset = r * self.lower_factor
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self._draw_slits(inset, self.rear_halfslit)
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def render(self):
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o = self.outer
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self.lower_factor = min(self.lower_factor, 0.99)
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self.rear_factor = min(self.rear_factor, 0.99)
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self.rectangularWall(o, o, "eeee", move="right", callback=[self.sidewall_holes])
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self.rectangularWall(o, o, "eeee", move="right mirror", callback=[self.sidewall_holes])
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self.rectangularWall(self.lower_size, sum(self.sx), "fffe", move="right", callback=[self.lower_holes])
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self.rectangularWall(self.rear_size, sum(self.sx), "fefh", move="right", callback=[self.rear_holes])
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