220 lines
7.3 KiB
Python
220 lines
7.3 KiB
Python
#!/usr/bin/env python3
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'''
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Copyright (C) 2012 Rhys Owen, rhysun@gmail.com
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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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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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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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A
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b| \h
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|_ \
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|_|_______\
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C a B
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'''
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import inkex
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from inkex.paths import Path
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from inkex import Transform
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from math import *
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from lxml import etree
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def poltocar(r, rad, negx=False, negy=False):
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# converts polar coords to cartesian
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x = r * cos(rad)
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y = r * sin(rad)
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if negx and not negy:
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return [-x, y]
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elif not negx and negy:
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return [x, -y]
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elif not negx and not negy:
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return [-x, -y]
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else:
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return [x, y]
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def deuclid(x1, y1, x2, y2):
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# euclidean distance between two cartesian coords
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squarex = (x1 - x2)**2
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squarey = (y1 - y2)**2
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d = sqrt(squarex + squarey)
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return d
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def getAngle(b, h):
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angle = asin(b / h)
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return angle
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def aLength(b, h):
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a = sqrt(h**2-b**2)
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return a
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def getPathData(obj):
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if obj.get("d"):# If the circle has been converted to a path object
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d = obj.get("d")
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p = Path(d)
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if obj.get("transform"):
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trans = Transform(obj.get("transform"))
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scalex = trans[0][0]
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scaley = trans[1][1]
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data = {'rx' : p[1][1][0]*scalex,
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'ry' : p[1][1][1]*scaley,
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'x' : (trans[0][0]*p[0][1][0])+(trans[0][1]*p[0][1][1])+trans[0][2]-(p[1][1][0]*scalex),
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'y' : (trans[1][0]*p[0][1][0])+(trans[1][1]*p[0][1][1])+trans[1][2]}
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else:
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data = {'rx': p[1][1][0],
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'ry': p[1][1][1],
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'x' : p[0][1][0]-p[1][1][0],
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'y' : p[0][1][1]}
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elif obj.get("r"):# For a pure circle object
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r = obj.get("r")
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cx = obj.get("cx")
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cy = obj.get("cy")
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data = {'rx' : float(r),
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'ry' : float(r),
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'x' : float(cx),
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'y' : float(cy)}
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elif obj.get("rx"):# For ellipses
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rx = obj.get("rx")
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ry = obj.get("ry")
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cx = obj.get("cx")
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cy = obj.get("cy")
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data = {'rx' : float(rx),
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'ry' : float(ry),
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'x' : float(cx),
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'y' : float(cy)}
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else:
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stockErrorMsg("4")
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return data
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def stockErrorMsg(bygtrac):
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inkex.errormsg("Please select exactly two circles and try again! %s" % bygtrac)
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exit()
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class Tangent(inkex.Effect):
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def __init__(self):
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inkex.Effect.__init__(self)
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self.arg_parser.add_argument("--position", default="inner", help="Choose either inner or outer tangent lines")
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self.arg_parser.add_argument("--selector", default="both", help="Choose which tangents you want to get")
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def effect(self):
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if len(self.options.ids) != 2:
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stockErrorMsg("1")
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c1object = self.svg.selected[self.options.ids[0]]
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c2object = self.svg.selected[self.options.ids[1]]
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#if c1object.get(inkex.addNS("type", "sodipodi")) != "arc" or c2object.get(inkex.addNS("type", "sodipodi")) != "arc":
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# stockErrorMsg("2")#PROBLEM HERE!
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c1 = getPathData(c1object)
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c2 = getPathData(c2object)
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# Create a third 'virtual' circle
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if c1['rx'] <= c2['rx']:
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c3x = c2['x']
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c3y = c2['y']
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if self.options.position == "outer":
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c3r = c2['rx'] - c1['rx']
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else:
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c3r = c2['rx'] + c1['rx']
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cyfA = [c1['x'], c1['y']]
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cyfB = [c2['x'], c2['y']]
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elif c1['rx'] > c2['rx']:
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c3x = c1['x']
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c3y = c1['y']
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if self.options.position == "outer":
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c3r = c1['rx'] - c2['rx']
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else:
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c3r = c1['rx'] + c2['rx']
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cyfA = [c2['x'], c2['y']]
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cyfB = [c1['x'], c1['y']]
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# Test whether the circles are actually circles!
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if c1['rx'] != c1['ry'] or c2['rx'] != c2['ry']:
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stockErrorMsg("One or both objects may be elliptical. Ensure you have circles!")
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# Hypotenus of the triangle - Euclidean distance between c1 x, y and c2 x, y.
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h = deuclid(c1['x'], c1['y'], c2['x'], c2['y'])
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b = c3r
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B = getAngle(b, h)
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a = aLength(b, h)
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# Angle of hypotenuse to x-axis
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E = getAngle(max(c1['y'], c2['y']) - min(c1['y'], c2['y']), h)
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# To test if the smallest circle is lower than the other
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if cyfB[1] <= cyfA[1]:
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negx = False
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else:
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negx = True
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# To test if it's the smallest circle to the right of the other
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if cyfB[0] <= cyfA[0]:
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negy = False
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else:
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negy = True
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angleTop = -B+E
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angleBottom = B+E
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if self.options.position == "outer":# External
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perpTop = -(pi/2)
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perpBottom = pi/2
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else:# Internal
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perpTop = pi/2
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perpBottom = -(pi/2)
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# Top coordinates of the top line
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cyfC = poltocar(a, angleTop, negx, negy)
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# Information for converting top 90grade coordinates
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conversionTop = poltocar(min(c1['rx'], c2['rx']), perpTop+angleTop, negx, negy)#1.5707964 1.57079632679
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# Bottom line coordinates
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cyfD = poltocar(a, angleBottom, negx, negy)
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# Information for converting the bottom 90 degree coordinates
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conversionBottom = poltocar(min(c1['rx'], c2['rx']), perpBottom+angleBottom, negx, negy)
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# Draw a line
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llx1 = cyfA[0]
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lly1 = cyfA[1]
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llsteil = (c1object.get("style"))
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# Line 1
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if self.options.selector == "first" or self.options.selector == "both":
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ll1x2 = cyfC[0]
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ll1y2 = cyfC[1]
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parent = c1object.getparent()
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attribsLine1 = {'style':llsteil,
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inkex.addNS('label','inkscape'):"line1",
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'd':'m '+str(llx1+conversionTop[0])+','+str(lly1+conversionTop[1])+' l '+str(ll1x2)+','+str(ll1y2)}
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elfen1 = etree.SubElement(parent, inkex.addNS('path','svg'), attribsLine1 )
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#Line 2
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if self.options.selector == "second" or self.options.selector == "both":
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ll2x2 = cyfD[0]
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ll2y2 = cyfD[1]
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parent = c1object.getparent()
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attribsLine1 = {'style':llsteil,
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inkex.addNS('label','inkscape'):"line2",
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'd':'m '+str(llx1+conversionBottom[0])+','+str(lly1+conversionBottom[1])+' l '+str(ll2x2)+','+str(ll2y2)}
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etree.SubElement(parent, inkex.addNS('path','svg'), attribsLine1 )
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if __name__ == '__main__':
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Tangent().run() |