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mother_front.py
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mother_front.py
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#!/usr/bin/python3
# mother_front.py
# -*- coding: utf-8 -*-
#
# The python script in this file makes the various parts of a model astrolabe.
#
# Copyright (C) 2010-2022 Dominic Ford <dcf21-www@dcford.org.uk>
#
# This code is free software; you can redistribute it and/or modify it under
# the terms of the GNU General Public License as published by the Free Software
# Foundation; either version 2 of the License, or (at your option) any later
# version.
#
# You should have received a copy of the GNU General Public License along with
# this file; if not, write to the Free Software Foundation, Inc., 51 Franklin
# Street, Fifth Floor, Boston, MA 02110-1301, USA
# ----------------------------------------------------------------------------
"""
Render the front of the mother of the astrolabe.
"""
from math import pi, sin, cos, acos, floor
from constants import unit_deg, unit_rev, unit_cm, centre_scaling, r_1, d_12, tab_size
from graphics_context import BaseComponent
from numpy import arange
from settings import fetch_command_line_arguments
from themes import themes
class MotherFront(BaseComponent):
"""
Render the front of the mother of the astrolabe.
"""
def default_filename(self):
"""
Return the default filename to use when saving this component.
"""
return "mother_front"
def bounding_box(self, settings):
"""
Return the bounding box of the canvas area used by this component.
:param settings:
A dictionary of settings required by the renderer.
:return:
Dictionary with the elements 'x_min', 'x_max', 'y_min' and 'y_max' set
"""
r_outer = r_1 + 0.5 * unit_cm
return {
'x_min': -r_outer,
'x_max': r_outer,
'y_min': -r_outer - 2 * unit_cm,
'y_max': r_outer
}
def do_rendering(self, settings, context):
"""
This method is required to actually render this item.
:param settings:
A dictionary of settings required by the renderer.
:param context:
A GraphicsContext object to use for drawing
:return:
None
"""
is_southern = settings['latitude'] < 0
theme = themes[settings['theme']]
context.set_color(color=theme['lines'])
# Define the radii of all the concentric circles to be drawn on front of mother
# Scale of letters around the edge
r_2 = r_1 - d_12 * 1.5
# Protractor scale
r_3 = r_2 - d_12
# Fine divisions
r_4 = r_3 - d_12 / 2
# Central hole
r_5 = d_12 * centre_scaling
# Draw the handle at the top of the astrolabe
ang = 180 * unit_deg - acos(unit_cm / r_1)
context.begin_path()
context.arc(centre_x=0, centre_y=-r_1, radius=2 * unit_cm,
arc_from=-ang - pi / 2, arc_to=ang - pi / 2)
context.move_to(x=0, y=-r_3)
context.line_to(x=0, y=-r_1 - 2 * unit_cm)
context.stroke()
# Draw circles 1-5 onto front of mother
for radius in (r_1, r_2, r_3, r_5):
context.begin_path()
context.circle(centre_x=0, centre_y=0, radius=radius)
context.stroke()
# Circle 4 has tab cut out
context.begin_path()
context.arc(centre_x=0, centre_y=0, radius=r_4,
arc_from=tab_size - pi / 2, arc_to=360 * unit_deg - tab_size - pi / 2)
context.stroke()
# Between circles 2 and 4, mark 5-degree intervals
for theta in arange(5 * unit_deg, 359.9 * unit_deg, 5 * unit_deg):
context.begin_path()
context.move_to(x=r_2 * sin(theta), y=-r_2 * cos(theta))
context.line_to(x=r_4 * sin(theta), y=-r_4 * cos(theta))
context.stroke()
# Between circles 3 and 4, draw a fine scale of 1-degree intervals
for theta in arange(tab_size, 360.1 * unit_deg - tab_size, 1 * unit_deg):
context.begin_path()
context.move_to(x=r_3 * sin(theta), y=-r_3 * cos(theta))
context.line_to(x=r_4 * sin(theta), y=-r_4 * cos(theta))
context.stroke()
# Between circles 2 and 3, label every 10 degrees
rt_1 = (r_2 + r_3) / 2 # Radius at which to place text labels every 10 degrees
for theta in arange(-180 * unit_deg, 179 * unit_deg, 10 * unit_deg):
# Work out angle to display around the rim: counts from 0 to 90 four times, not -180 to 180 degrees!
if theta < -179 * unit_deg:
theta_disp = theta
elif theta < - 90 * unit_deg:
theta_disp = theta + 180 * unit_deg
elif theta < 0 * unit_deg:
theta_disp = -theta
elif theta < 90 * unit_deg:
theta_disp = theta
else:
theta_disp = -theta + 180 * unit_deg
# Display angles around rim as rounded integers
theta_disp = floor(theta_disp / unit_deg + 0.01)
context.set_font_size(1.2)
# Display right-hand zero as a simple one-digit zero
if theta_disp == 0:
theta2 = theta
context.text(text="0",
x=rt_1 * cos(theta2), y=-rt_1 * sin(theta2),
h_align=0, v_align=0, gap=0, rotation=-theta - 90 * unit_deg)
# Display a cross sign at the left-hand zero
elif theta_disp == -180:
theta2 = theta
context.set_font_size(2.1)
context.text(text="\u2720",
x=rt_1 * cos(theta2), y=-rt_1 * sin(theta2),
h_align=0, v_align=0, gap=0, rotation=-theta - 90 * unit_deg)
# Display all other angles as two digits, carefully arranged with one digit on either side of the line
else:
theta2 = theta - 0.2 * unit_deg
context.text(text="{:.0f}".format(theta_disp / 10),
x=rt_1 * cos(theta2), y=-rt_1 * sin(theta2),
h_align=1, v_align=0, gap=0, rotation=-theta - 90 * unit_deg)
theta2 = theta + 0.2 * unit_deg
context.text(text="{:.0f}".format(theta_disp % 10),
x=rt_1 * cos(theta2), y=-rt_1 * sin(theta2),
h_align=-1, v_align=0, gap=0, rotation=-theta - 90 * unit_deg)
# Between circles 1 and 2, label 24 hours with large letters. A cross marks midnight.
rt_1 = r_1 * 0.55 + r_2 * 0.45
for i, t in enumerate(["\u2720", "A", "B", "C", "D", "E", "F", "G", "H", "I", "K", "L", "M", "N",
"O", "P", "Q", "R", "S", "T", "U", "X", "Y", "Z"]):
theta = i / 24 * unit_rev
# Letters are reversed in the southern hemisphere
if is_southern:
theta = -theta
context.set_font_size(2.0 if i > 0 else 2.8)
context.text(text=t,
x=rt_1 * sin(theta), y=-rt_1 * cos(theta),
h_align=0, v_align=0, gap=0,
rotation=theta)
# Do it right away if we're run as a script
if __name__ == "__main__":
# Fetch command line arguments passed to us
arguments = fetch_command_line_arguments(default_filename=MotherFront().default_filename())
# Render the front of the mother
MotherFront(settings={
'latitude': arguments['latitude'],
'language': 'en'
}).render_to_file(
filename=arguments['filename'],
img_format=arguments['img_format']
)