42 lines
1.6 KiB
Python
42 lines
1.6 KiB
Python
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# -*- coding: utf-8 -*-
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# Copyright (C) 2018 Michael Matthews
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#
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# This file is part of CutCraft.
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#
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# CutCraft 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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# CutCraft 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 CutCraft. If not, see <http://www.gnu.org/licenses/>.
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from math import pi, atan2, cos, sin, sqrt
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def isclose(a, b, rel_tol=1e-09, abs_tol=0.0):
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# Required as Inkscape uses old version of Python that does not include math.isclose().
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return abs(a-b) <= max(rel_tol * max(abs(a), abs(b)), abs_tol)
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def iscloselist(a, b):
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# Functionality of isclose() for lists of values.
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return all([isclose(aval, bval) for aval, bval in zip(a, b)])
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def intersection(radius, angle=None, x=None, y=None):
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# With a circle of a given radius determine the intercepts for an angle, x or y coordinate.
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if angle:
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# Returns (x,y) tuple of intercept.
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return (cos(angle)*radius, sin(angle)*radius)
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elif x:
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y = sqrt((radius)**2 - x**2)
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return (y, atan2(y, x))
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elif y:
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x = sqrt((radius)**2 - y**2)
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return (x, atan2(y, x))
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else:
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raise ValueError("Invalid values passed to intersection().")
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