41 lines
1.6 KiB
Python
41 lines
1.6 KiB
Python
# Copyright (C) 2018 Michael Matthews
|
|
#
|
|
# This file is part of CutCraft.
|
|
#
|
|
# CutCraft 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 3 of the License, or
|
|
# (at your option) any later version.
|
|
#
|
|
# CutCraft is distributed in the hope that it will be useful,
|
|
# but WITHOUT ANY WARRANTY; without even the implied warranty of
|
|
# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
|
|
# GNU General Public License for more details.
|
|
#
|
|
# You should have received a copy of the GNU General Public License
|
|
# along with CutCraft. If not, see <http://www.gnu.org/licenses/>.
|
|
|
|
from math import pi, atan2, cos, sin, sqrt
|
|
|
|
def isclose(a, b, rel_tol=1e-09, abs_tol=0.0):
|
|
# Required as Inkscape uses old version of Python that does not include math.isclose().
|
|
return abs(a-b) <= max(rel_tol * max(abs(a), abs(b)), abs_tol)
|
|
|
|
def iscloselist(a, b):
|
|
# Functionality of isclose() for lists of values.
|
|
return all([isclose(aval, bval) for aval, bval in zip(a, b)])
|
|
|
|
def intersection(radius, angle=None, x=None, y=None):
|
|
# With a circle of a given radius determine the intercepts for an angle, x or y coordinate.
|
|
if angle:
|
|
# Returns (x,y) tuple of intercept.
|
|
return (cos(angle)*radius, sin(angle)*radius)
|
|
elif x:
|
|
y = sqrt((radius)**2 - x**2)
|
|
return (y, atan2(y, x))
|
|
elif y:
|
|
x = sqrt((radius)**2 - y**2)
|
|
return (x, atan2(y, x))
|
|
else:
|
|
raise ValueError("Invalid values passed to intersection().")
|