698 lines
25 KiB
Python
698 lines
25 KiB
Python
#! /usr/bin/env python
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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 2 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, write to the Free Software
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Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
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Quick description:
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'''
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# standard library
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from math import *
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from copy import deepcopy
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# local library
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import inkex
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import pathmodifier
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import cubicsuperpath
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import bezmisc
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import simplepath
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import simpletransform
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def getColorAndOpacity(longColor):
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'''
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Convert the long into a #rrggbb color value
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Conversion back is A + B*256^1 + G*256^2 + R*256^3
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'''
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longColor = long(longColor)
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if longColor < 0:
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longColor = longColor & 0xFFFFFFFF
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hexColor = hex(longColor)
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hexOpacity = hexColor[-3:-1]
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hexColor = '#' + hexColor[2:-3].rjust(6, '0')
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return (hexColor, hexOpacity)
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def setColorAndOpacity(style, color, opacity):
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declarations = style.split(';')
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strokeOpacityInStyle = False
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newOpacity = round((int(opacity, 16) / 255.0), 8)
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for i,decl in enumerate(declarations):
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parts = decl.split(':', 2)
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if len(parts) == 2:
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(prop, val) = parts
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prop = prop.strip().lower()
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if (prop == 'stroke' and val != color):
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declarations[i] = prop + ':' + color
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if prop == 'stroke-opacity':
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if val != newOpacity:
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declarations[i] = prop + ':' + str(newOpacity)
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strokeOpacityInStyle = True
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if not strokeOpacityInStyle:
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declarations.append('stroke-opacity' + ':' + str(newOpacity))
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return ";".join(declarations)
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def getSkeletonPath(d, offs):
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'''
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Recieves a current skeleton path and offset specified by the user if it's line.
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Calculates new skeleton path to use for creating contour with given offset.
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'''
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if offs != 0:
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comps = d.split()
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if ((comps[2] == 'h' or comps[2] == 'H') and len(comps) == 4):
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startPt = comps[1].split(',')
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startX = float(startPt[0])
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startY = float(startPt[1])
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finalX = float(comps[3]) if comps[2] == 'H' else startX + float(comps[3])
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if startX < finalX:
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startY -= offs
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else:
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startY += offs
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comps[1] = startPt[0] + ',' + str(startY)
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elif ((comps[2] == 'v' or comps[2] == 'V') and len(comps) == 4):
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startPt = comps[1].split(',')
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startX = float(startPt[0])
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startY = float(startPt[1])
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finalY = float(comps[3]) if comps[2] == 'V' else startY + float(comps[3])
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if startY < finalY:
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startX += offs
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else:
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startX -= offs
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comps[1] = str(startX) + ',' + startPt[1]
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elif (comps[0] == 'M' and len(comps) == 3):
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startPt = comps[1].split(',')
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startX = float(startPt[0])
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startY = float(startPt[1])
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finalPt = comps[2].split(',')
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finalX = float(finalPt[0])
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finalY = float(finalPt[1])
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if startX < finalX:
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if (startY > finalY):
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startX -= offs
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finalX -= offs
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else:
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startX += offs
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finalX += offs
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startY -= offs
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finalY -= offs
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else:
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if startY > finalY:
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startX -= offs
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finalX -= offs
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else:
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startX += offs
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finalX += offs
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startY += offs
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finalY += offs
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comps[1] = str(startX) + ',' + str(startY)
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comps[2] = str(finalX) + ',' + str(finalY)
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elif (comps[0] == 'm' and len(comps) == 3):
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startPt = comps[1].split(',')
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startX = float(startPt[0])
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startY = float(startPt[1])
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finalPt = comps[2].split(',')
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dx = float(finalPt[0])
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dy = float(finalPt[1])
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finalX = startX + dx
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finalY = startY + dy
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if startX < finalX:
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if startY > finalY:
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startX -= offs
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else:
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startX += offs
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startY -= offs
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else:
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if startY > finalY:
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startX -= offs
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else:
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startX += offs
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startY += offs
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comps[1] = str(startX) + ',' + str(startY)
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comps[2] = str(dx) + ',' + str(dy)
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return cubicsuperpath.parsePath(' '.join(comps))
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return cubicsuperpath.parsePath(d)
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def modifySkeletonPath(skelPath):
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resPath = []
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l = len(skelPath)
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resPath += skelPath[0]
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if l > 1:
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for i in range(1, l):
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if skelPath[i][0][1] == resPath[-1][1]:
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skelPath[i][0][0] = resPath[-1][0]
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del resPath[-1]
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resPath += skelPath[i]
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return resPath
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def linearize(p, tolerance=0.001):
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'''
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This function receives a component of a 'cubicsuperpath' and returns two things:
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The path subdivided in many straight segments, and an array containing the length of each segment.
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'''
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zero = 0.000001
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i = 0
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d = 0
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lengths=[]
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while i < len(p) - 1:
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box = bezmisc.pointdistance(p[i][1], p[i][2])
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box += bezmisc.pointdistance(p[i][2], p[i+1][0])
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box += bezmisc.pointdistance(p[i+1][0], p[i+1][1])
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chord = bezmisc.pointdistance(p[i][1], p[i+1][1])
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if (box - chord) > tolerance:
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b1, b2 = bezmisc.beziersplitatt([p[i][1], p[i][2], p[i + 1][0], p[i + 1][1]], 0.5)
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p[i][2][0], p[i][2][1] = b1[1]
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p[i + 1][0][0], p[i + 1][0][1] = b2[2]
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p.insert(i + 1, [[b1[2][0], b1[2][1]], [b1[3][0], b1[3][1]], [b2[1][0], b2[1][1]]])
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else:
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d = (box + chord) / 2
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lengths.append(d)
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i += 1
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new = [p[i][1] for i in range(0, len(p) - 1) if lengths[i] > zero]
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new.append(p[-1][1])
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lengths = [l for l in lengths if l > zero]
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return (new, lengths)
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def isSkeletonClosed(sklCmp):
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cntOfDgts = 2
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if (round(sklCmp[0][0], cntOfDgts) != round(sklCmp[-1][0], cntOfDgts) or round(sklCmp[0][1], cntOfDgts) != round(sklCmp[-1][1], cntOfDgts)):
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return False
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return True
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def getPolygonCentroid(polygon):
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x = 0
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y = 0
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n = len(polygon)
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for vert in polygon:
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x += vert[0]
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y += vert[1]
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x = x / n
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y = y / n
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return [x, y]
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def getPoint(p1, p2, x, y):
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x1 = p1[0]
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y1 = p1[1]
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x2 = p2[0]
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y2 = p2[1]
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a = (y1 - y2) / (x1 - x2)
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b = y1 - a * x1
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if x == None:
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x = (y - b) / a
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else:
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y = a * x + b
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return [x, y]
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def getPtOnSeg(p1, p2, segLen, l):
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if p1[0] == p2[0]:
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return [p2[0], p2[1] - l] if p2[1] < p1[1] else [p2[0], p2[1] + l]
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if p1[1] == p2[1]:
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return [p2[0] - l, p2[1]] if p2[0] < p1[0] else [p2[0] + l, p2[1]]
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dy = abs(p1[1] - p2[1])
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angle = asin(dy / segLen)
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dx = l * cos(angle)
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x = p1[0] - dx if p1[0] > p2[0] else p1[0] + dx
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return getPoint(p1, p2, x, None)
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def drawfunction(nodes, width, fx):
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# x-bounds of the plane
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xstart = 0.0
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xend = 2 * pi
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# y-bounds of the plane
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ybottom = -1.0
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ytop = 1.0
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# size and location of the plane on the canvas
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height = 2
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left = 15
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bottom = 15 + height
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# function specified by the user
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try:
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if fx != "":
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f = eval('lambda x: ' + fx.strip('"'))
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except SyntaxError:
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return []
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scalex = width / (xend - xstart)
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xoff = left
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# conver x-value to coordinate
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coordx = lambda x: (x - xstart) * scalex + xoff
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scaley = height / (ytop - ybottom)
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yoff = bottom
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# conver y-value to coordinate
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coordy = lambda y: (ybottom - y) * scaley + yoff
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# step is the distance between nodes on x
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step = (xend - xstart) / (nodes - 1)
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third = step / 3.0
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# step used in calculating derivatives
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ds = step * 0.001
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# initialize function and derivative for 0;
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# they are carried over from one iteration to the next, to avoid extra function calculations.
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x0 = xstart
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y0 = f(xstart)
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# numerical derivative, using 0.001*step as the small differential
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x1 = xstart + ds # Second point AFTER first point (Good for first point)
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y1 = f(x1)
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dx0 = (x1 - x0) / ds
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dy0 = (y1 - y0) / ds
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# path array
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a = []
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# Start curve
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a.append(['M ', [coordx(x0), coordy(y0)]])
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for i in range(int(nodes - 1)):
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x1 = (i + 1) * step + xstart
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x2 = x1 - ds # Second point BEFORE first point (Good for last point)
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y1 = f(x1)
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y2 = f(x2)
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# numerical derivative
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dx1 = (x1 - x2) / ds
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dy1 = (y1 - y2) / ds
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# create curve
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a.append([' C ', [coordx(x0 + (dx0 * third)), coordy(y0 + (dy0 * third)),
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coordx(x1 - (dx1 * third)), coordy(y1 - (dy1 * third)),
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coordx(x1), coordy(y1)]])
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# Next segment's start is this segment's end
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x0 = x1
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y0 = y1
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# Assume the function is smooth everywhere, so carry over the derivative too
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dx0 = dx1
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dy0 = dy1
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return a
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def offset(pathComp, dx, dy):
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for ctl in pathComp:
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for pt in ctl:
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pt[0] += dx
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pt[1] += dy
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def stretch(pathComp, xscale, yscale, org):
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for ctl in pathComp:
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for pt in ctl:
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pt[0] = org[0] + (pt[0] - org[0]) * xscale
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pt[1] = org[1] + (pt[1] - org[1]) * yscale
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class GuillocheContour(pathmodifier.PathModifier):
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def __init__(self):
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pathmodifier.PathModifier.__init__(self)
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self.OptionParser.add_option("--tab",
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action="store", type="string",
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dest="tab", default="contour",
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help="Active tab")
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self.OptionParser.add_option("--contourFunction",
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action="store", type="string",
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dest="contourFunction", default="sin",
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help="Function of the contour")
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self.OptionParser.add_option("--frequency",
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action="store", type="int",
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dest="frequency", default=10,
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help="Frequency of the function")
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self.OptionParser.add_option("--amplitude",
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action="store", type="int",
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dest="amplitude", default=1,
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help="Amplitude of the function")
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self.OptionParser.add_option("--phaseOffset",
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action="store", type="int",
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dest="phaseOffset", default=0,
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help="Phase offset of the function")
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self.OptionParser.add_option("--offset",
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action="store", type="int",
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dest="offset", default=0,
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help="Offset of the function")
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self.OptionParser.add_option("--nodes",
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action="store", type="int",
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dest="nodes", default=20,
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help="Count of nodes")
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self.OptionParser.add_option("--remove",
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action="store", type="inkbool",
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dest="remove", default=False,
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help="If True, control object will be removed")
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self.OptionParser.add_option("--strokeColor",
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action="store", type="string",
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dest="strokeColor", default=255,
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help="The line's color")
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self.OptionParser.add_option("--amplitude1",
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action="store", type="float",
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dest="amplitude1", default=0.0,
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help="Amplitude of first harmonic")
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self.OptionParser.add_option("--phase1",
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action="store", type="int",
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dest="phase1", default=0,
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help="Phase offset of first harmonic")
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self.OptionParser.add_option("--amplitude2",
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action="store", type="float",
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dest="amplitude2", default=0.0,
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help="Amplitude of second harmonic")
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self.OptionParser.add_option("--phase2",
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action="store", type="int",
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dest="phase2", default=0,
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help="Phase offset of second harmonic")
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self.OptionParser.add_option("--amplitude3",
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action="store", type="float",
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dest="amplitude3", default=0.0,
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help="Amplitude of third harmonic")
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self.OptionParser.add_option("--phase3",
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action="store", type="int",
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dest="phase3", default=0,
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help="Phase offset of third harmonic")
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self.OptionParser.add_option("--amplitude4",
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action="store", type="float",
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dest="amplitude4", default=0.0,
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help="Amplitude of fourth harmonic")
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self.OptionParser.add_option("--phase4",
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action="store", type="int",
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dest="phase4", default=0,
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help="Phase offset of fourth harmonic")
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self.OptionParser.add_option("--amplitude5",
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action="store", type="float",
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dest="amplitude5", default=0.0,
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help="Amplitude of fifth harmonic")
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self.OptionParser.add_option("--phase5",
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action="store", type="int",
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dest="phase5", default=0,
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help="Phase offset of fifth harmonic")
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def prepareSelectionList(self):
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self.skeletons = self.selected
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self.expandGroupsUnlinkClones(self.skeletons, True, False)
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self.objectsToPaths(self.skeletons)
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def linearizePath(self, skelPath, offs):
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comps, lengths = linearize(skelPath)
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self.skelCompIsClosed = isSkeletonClosed(comps)
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if (self.skelCompIsClosed and offs != 0):
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centroid = getPolygonCentroid(comps)
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for i in range(len(comps)):
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pt1 = comps[i]
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dist = bezmisc.pointdistance(centroid, pt1)
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comps[i] = getPtOnSeg(centroid, pt1, dist, dist + offs)
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if i > 0:
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lengths[i - 1] = bezmisc.pointdistance(comps[i - 1], comps[i])
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return (comps, lengths)
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def getFunction(self, func):
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res = ''
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presetAmp1 = presetAmp2 = presetAmp3 = presetAmp4 = presetAmp5 = 0.0
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presetPhOf1 = presetPhOf2 = presetPhOf3 = presetPhOf4 = presetPhOf5 = presetOffs = 0
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if (func == 'sin' or func == 'cos'):
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return '(' + str(self.options.amplitude) + ') * ' + func + '(x + (' + str(self.options.phaseOffset / 100.0 * 2 * pi) + '))'
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if func == 'env1':
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presetAmp1 = presetAmp3 = 0.495
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elif func == 'env2':
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presetAmp1 = presetAmp3 = 0.65
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presetPhOf1 = presetPhOf3 = 25
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elif func == 'env3':
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presetAmp1 = 0.75
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presetPhOf1 = 25
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presetAmp3 = 0.24
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presetPhOf3 = -25
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elif func == 'env4':
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presetAmp1 = 1.105
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presetAmp3 = 0.27625
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presetPhOf3 = 50
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elif func == 'env5':
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presetAmp1 = 0.37464375
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presetPhOf1 = 25
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presetAmp2 = 0.5655
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presetAmp3 = 0.37464375
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presetPhOf3 = -25
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elif func == 'env6':
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presetAmp1 = 0.413725
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presetPhOf1 = 25
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presetAmp2 = 0.45695
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presetPhOf2 = 50
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presetAmp3 = 0.494
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presetPhOf3 = -25
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elif func == 'env7':
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presetAmp1 = 0.624
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presetPhOf1 = 25
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presetAmp2 = 0.312
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presetAmp3 = 0.624
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presetPhOf3 = 25
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elif func == 'env8':
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presetAmp1 = 0.65
|
|
presetPhOf1 = 50
|
|
presetAmp2 = 0.585
|
|
presetAmp3 = 0.13
|
|
elif func == 'env9':
|
|
presetAmp1 = 0.07605
|
|
presetPhOf1 = 25
|
|
presetAmp2 = 0.33345
|
|
presetPhOf2 = 50
|
|
presetAmp3 = 0.468
|
|
presetPhOf3 = -25
|
|
presetAmp4 = 0.32175
|
|
elif func == 'env10':
|
|
presetAmp1 = 0.3575
|
|
presetPhOf1 = -25
|
|
presetAmp2 = 0.3575
|
|
presetAmp3 = 0.3575
|
|
presetPhOf3 = 25
|
|
presetAmp4 = 0.3575
|
|
presetPhOf4 = 50
|
|
elif func == 'env11':
|
|
presetAmp1 = 0.65
|
|
presetPhOf1 = 25
|
|
presetAmp2 = 0.13
|
|
presetPhOf2 = 50
|
|
presetAmp3 = 0.26
|
|
presetPhOf3 = 25
|
|
presetAmp4 = 0.39
|
|
elif func == 'env12':
|
|
presetAmp1 = 0.5525
|
|
presetPhOf1 = -25
|
|
presetAmp2 = 0.0414375
|
|
presetPhOf2 = 50
|
|
presetAmp3 = 0.15884375
|
|
presetPhOf3 = 25
|
|
presetAmp4 = 0.0966875
|
|
presetAmp5 = 0.28315625
|
|
presetPhOf5 = -25
|
|
|
|
harm1 = '(' + str(self.options.amplitude * (presetAmp1 + self.options.amplitude1)) + ') * cos(1 * (x + (' + str(self.options.phaseOffset / 100.0 * 2 * pi) + ')) - (' + str((presetPhOf1 + self.options.phase1) / 100.0 * 2 * pi) + '))'
|
|
harm2 = '(' + str(self.options.amplitude * (presetAmp2 + self.options.amplitude2)) + ') * cos(2 * (x + (' + str(self.options.phaseOffset / 100.0 * 2 * pi) + ')) - (' + str((presetPhOf2 + self.options.phase2) / 100.0 * 2 * pi) + '))'
|
|
harm3 = '(' + str(self.options.amplitude * (presetAmp3 + self.options.amplitude3)) + ') * cos(3 * (x + (' + str(self.options.phaseOffset / 100.0 * 2 * pi) + ')) - (' + str((presetPhOf3 + self.options.phase3) / 100.0 * 2 * pi) + '))'
|
|
harm4 = '(' + str(self.options.amplitude * (presetAmp4 + self.options.amplitude4)) + ') * cos(4 * (x + (' + str(self.options.phaseOffset / 100.0 * 2 * pi) + ')) - (' + str((presetPhOf4 + self.options.phase4) / 100.0 * 2 * pi) + '))'
|
|
harm5 = '(' + str(self.options.amplitude * (presetAmp5 + self.options.amplitude5)) + ') * cos(5 * (x + (' + str(self.options.phaseOffset / 100.0 * 2 * pi) + ')) - (' + str((presetPhOf5 + self.options.phase5) / 100.0 * 2 * pi) + '))'
|
|
|
|
res = harm1 + ' + ' + harm2 + ' + ' + harm3 + ' + ' + harm4 + ' + ' + harm5
|
|
|
|
return res
|
|
|
|
def lengthToTime(self, l):
|
|
'''
|
|
Recieves an arc length l, and returns the index of the segment in self.skelComp
|
|
containing the corresponding point, together with the position of the point on this segment.
|
|
|
|
If the deformer is closed, do computations modulo the total length.
|
|
'''
|
|
if self.skelCompIsClosed:
|
|
l = l % sum(self.lengths)
|
|
|
|
if l <= 0:
|
|
return 0, l / self.lengths[0]
|
|
|
|
i = 0
|
|
|
|
while (i < len(self.lengths)) and (self.lengths[i] <= l):
|
|
l -= self.lengths[i]
|
|
i += 1
|
|
|
|
t = l / self.lengths[min(i, len(self.lengths) - 1)]
|
|
|
|
return (i, t)
|
|
|
|
def applyDiffeo(self, bpt, vects=()):
|
|
'''
|
|
The kernel of this stuff:
|
|
bpt is a base point and for v in vectors, v'=v-p is a tangent vector at bpt.
|
|
'''
|
|
s = bpt[0] - self.skelComp[0][0]
|
|
i, t = self.lengthToTime(s)
|
|
|
|
if i == len(self.skelComp) - 1:
|
|
x, y = bezmisc.tpoint(self.skelComp[i - 1], self.skelComp[i], t + 1)
|
|
dx = (self.skelComp[i][0] - self.skelComp[i - 1][0]) / self.lengths[-1]
|
|
dy = (self.skelComp[i][1] - self.skelComp[i - 1][1]) / self.lengths[-1]
|
|
else:
|
|
x, y = bezmisc.tpoint(self.skelComp[i], self.skelComp[i + 1], t)
|
|
dx = (self.skelComp[i + 1][0] - self.skelComp[i][0]) / self.lengths[i]
|
|
dy = (self.skelComp[i + 1][1] - self.skelComp[i][1]) / self.lengths[i]
|
|
|
|
vx = 0
|
|
vy = bpt[1] - self.skelComp[0][1]
|
|
bpt[0] = x + vx * dx - vy * dy
|
|
bpt[1] = y + vx * dy + vy * dx
|
|
|
|
for v in vects:
|
|
vx = v[0] - self.skelComp[0][0] - s
|
|
vy = v[1] - self.skelComp[0][1]
|
|
v[0] = x + vx * dx - vy * dy
|
|
v[1] = y + vx * dy + vy * dx
|
|
|
|
def effect(self):
|
|
if len(self.options.ids) < 1:
|
|
inkex.errormsg(_("This extension requires one selected path."))
|
|
return
|
|
|
|
self.prepareSelectionList()
|
|
|
|
for skeleton in self.skeletons.itervalues():
|
|
resPath = []
|
|
pattern = inkex.etree.Element(inkex.addNS('path','svg'))
|
|
|
|
self.options.strokeHexColor, self.strokeOpacity = getColorAndOpacity(self.options.strokeColor)
|
|
|
|
# Copy style of skeleton with setting color and opacity
|
|
s = skeleton.get('style')
|
|
|
|
if s:
|
|
pattern.set('style', setColorAndOpacity(s, self.options.strokeHexColor, self.strokeOpacity))
|
|
|
|
skeletonPath = modifySkeletonPath(getSkeletonPath(skeleton.get('d'), self.options.offset))
|
|
|
|
self.skelComp, self.lengths = self.linearizePath(skeletonPath, self.options.offset)
|
|
|
|
length = sum(self.lengths)
|
|
patternWidth = length / self.options.frequency
|
|
selectedFunction = self.getFunction(self.options.contourFunction)
|
|
|
|
pattern.set('d', simplepath.formatPath(drawfunction(self.options.nodes, patternWidth, selectedFunction)))
|
|
|
|
# Add path into SVG structure
|
|
skeleton.getparent().append(pattern)
|
|
|
|
if self.options.remove:
|
|
skeleton.getparent().remove(skeleton)
|
|
|
|
# Compute bounding box
|
|
bbox = simpletransform.computeBBox([pattern])
|
|
|
|
width = bbox[1] - bbox[0]
|
|
dx = width
|
|
|
|
if dx < 0.01:
|
|
exit(_("The total length of the pattern is too small."))
|
|
|
|
patternPath = cubicsuperpath.parsePath(pattern.get('d'))
|
|
curPath = deepcopy(patternPath)
|
|
|
|
xoffset = self.skelComp[0][0] - bbox[0]
|
|
yoffset = self.skelComp[0][1] - (bbox[2] + bbox[3]) / 2
|
|
|
|
patternCopies = max(1, int(round(length / dx)))
|
|
width = dx * patternCopies
|
|
|
|
newPath = []
|
|
|
|
# Repeat pattern to cover whole skeleton
|
|
for subPath in curPath:
|
|
for i in range(0, patternCopies, 1):
|
|
newPath.append(deepcopy(subPath))
|
|
offset(subPath, dx, 0)
|
|
|
|
curPath = newPath
|
|
|
|
# Offset pattern to the first node of the skeleton
|
|
for subPath in curPath:
|
|
offset(subPath, xoffset, yoffset)
|
|
|
|
# Stretch pattern to whole skeleton
|
|
for subPath in curPath:
|
|
stretch(subPath, length / width, 1, self.skelComp[0])
|
|
|
|
for subPath in curPath:
|
|
for ctlpt in subPath:
|
|
self.applyDiffeo(ctlpt[1], (ctlpt[0], ctlpt[2]))
|
|
|
|
# Check if there is a need to close path manually
|
|
if self.skelCompIsClosed:
|
|
firstPtX = round(curPath[0][0][1][0], 8)
|
|
firstPtY = round(curPath[0][0][1][1], 8)
|
|
finalPtX = round(curPath[-1][-1][1][0], 8)
|
|
finalPtY = round(curPath[-1][-1][1][1], 8)
|
|
|
|
if (firstPtX != finalPtX or firstPtY != finalPtY):
|
|
curPath[-1].append(curPath[0][0])
|
|
|
|
resPath += curPath
|
|
|
|
pattern.set('d', cubicsuperpath.formatPath(resPath))
|
|
|
|
if __name__ == '__main__':
|
|
e = GuillocheContour()
|
|
e.affect()
|
|
|
|
|
|
# vim: expandtab shiftwidth=4 tabstop=8 softtabstop=4 fileencoding=utf-8 textwidth=99
|