Added guilloche creations
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<?xml version="1.0" encoding="UTF-8"?>
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<inkscape-extension xmlns="http://www.inkscape.org/namespace/inkscape/extension">
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<name>Guilloche Contour</name>
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<id>fablabchemnitz.de.guilloche_contour</id>
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<param name="contourFunction" type="optiongroup" appearance="combo" gui-text="Function">
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<option value="line">Line</option>
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<option value="sin">Sin</option>
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<option value="cos">Cos</option>
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<option value="env1">Env1</option>
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<option value="env2">Env2</option>
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<option value="env3">Env3</option>
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<option value="env4">Env4</option>
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<option value="env5">Env5</option>
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<option value="env6">Env6</option>
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<option value="env7">Env7</option>
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<option value="env8">Env8</option>
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<option value="env9">Env9</option>
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<option value="env10">Env10</option>
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<option value="env11">Env11</option>
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<option value="env12">Env12</option>
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</param>
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<param name="tab" type="notebook">
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<page name="contour" gui-text="Contour">
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<param name="frequency" type="int" min="1" max="100" gui-text="Frequency:">10</param>
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<param name="amplitude" type="int" min="-15" max="15" gui-text="Amplitude:">1</param>
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<param name="phaseOffset" type="int" min="-100" max="100" gui-text="Phase offset:">0</param>
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<param name="offset" type="int" min="-100" max="100" gui-text="Offset:">0</param>
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<param name="nodes" type="int" min="2" max="1000" gui-text="Number of nodes:">20</param>
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<param name="remove" type="bool" gui-text="Remove control object">false</param>
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<param name="strokeColor" type="color" gui-text="Stroke color"></param>
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</page>
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<page name="function" gui-text="Function">
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<param name="amplitude1" type="float" min="-10.0" max="10.0" precision="2" gui-text="Amplitude 1:">0.0</param>
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<param name="phase1" type="int" min="-100" max="100" gui-text="Phase offset 1:">0</param>
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<param name="amplitude2" type="float" min="-10.0" max="10.0" precision="2" gui-text="Amplitude 2:">0.0</param>
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<param name="phase2" type="int" min="-100" max="100" gui-text="Phase offset 2:">0</param>
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<param name="amplitude3" type="float" min="-10.0" max="10.0" precision="2" gui-text="Amplitude 3:">0.0</param>
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<param name="phase3" type="int" min="-100" max="100" gui-text="Phase offset 3:">0</param>
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<param name="amplitude4" type="float" min="-10.0" max="10.0" precision="2" gui-text="Amplitude 4:">0.0</param>
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<param name="phase4" type="int" min="-100" max="100" gui-text="Phase offset 4:">0</param>
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<param name="amplitude5" type="float" min="-10.0" max="10.0" precision="2" gui-text="Amplitude 5:">0.0</param>
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<param name="phase5" type="int" min="-100" max="100" gui-text="Phase offset 5:">0</param>
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</page>
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</param>
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<effect>
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<object-type>all</object-type>
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<effects-menu>
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<submenu name="FabLab Chemnitz">
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<submenu name="Modify existing Path(s)"/>
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</submenu>
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</effects-menu>
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</effect>
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<script>
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<command location="inx" interpreter="python">guilloche_contour.py</command>
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</script>
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</inkscape-extension>
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#! /usr/bin/env python3
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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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from inkex import paths
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from lxml import etree
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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 = int(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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lhc = len(hexColor)
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hexOpacity = hexColor[lhc-2 : ]
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hexColor = '#' + hexColor[2:-2].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 paths.CubicSuperPath(paths.Path(' '.join(comps)))
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return paths.CubicSuperPath(paths.Path(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 = inkex.bezier.pointdistance(p[i][1], p[i][2])
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box += inkex.bezier.pointdistance(p[i][2], p[i+1][0])
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box += inkex.bezier.pointdistance(p[i+1][0], p[i+1][1])
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chord = inkex.bezier.pointdistance(p[i][1], p[i+1][1])
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if (box - chord) > tolerance:
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b1, b2 = inkex.bezier.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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requiredPrecision = 0.005
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sctest1 = abs(sklCmp[0][0] - sklCmp[-1][0]) > requiredPrecision
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sctest2 = abs(sklCmp[0][1] - sklCmp[-1][1]) > requiredPrecision
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if sctest1 or sctest2:
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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;
|
||||||
|
# they are carried over from one iteration to the next, to avoid extra function calculations.
|
||||||
|
x0 = xstart
|
||||||
|
y0 = f(xstart)
|
||||||
|
|
||||||
|
# numerical derivative, using 0.001*step as the small differential
|
||||||
|
x1 = xstart + ds # Second point AFTER first point (Good for first point)
|
||||||
|
y1 = f(x1)
|
||||||
|
|
||||||
|
dx0 = (x1 - x0) / ds
|
||||||
|
dy0 = (y1 - y0) / ds
|
||||||
|
|
||||||
|
# path array
|
||||||
|
a = []
|
||||||
|
|
||||||
|
# Start curve
|
||||||
|
#a.append(['M ', [coordx(x0), coordy(y0)]])
|
||||||
|
a.append(['M', [coordx(x0), coordy(y0)]])
|
||||||
|
|
||||||
|
for i in range(int(nodes - 1)):
|
||||||
|
x1 = (i + 1) * step + xstart
|
||||||
|
x2 = x1 - ds # Second point BEFORE first point (Good for last point)
|
||||||
|
y1 = f(x1)
|
||||||
|
y2 = f(x2)
|
||||||
|
|
||||||
|
# numerical derivative
|
||||||
|
dx1 = (x1 - x2) / ds
|
||||||
|
dy1 = (y1 - y2) / ds
|
||||||
|
|
||||||
|
# create curve
|
||||||
|
a.append(['C', [coordx(x0 + (dx0 * third)), coordy(y0 + (dy0 * third)),
|
||||||
|
coordx(x1 - (dx1 * third)), coordy(y1 - (dy1 * third)),
|
||||||
|
coordx(x1), coordy(y1)]])
|
||||||
|
|
||||||
|
# Next segment's start is this segment's end
|
||||||
|
x0 = x1
|
||||||
|
y0 = y1
|
||||||
|
# Assume the function is smooth everywhere, so carry over the derivative too
|
||||||
|
dx0 = dx1
|
||||||
|
dy0 = dy1
|
||||||
|
|
||||||
|
return a
|
||||||
|
|
||||||
|
def offset(pathComp, dx, dy):
|
||||||
|
for ctl in pathComp:
|
||||||
|
for pt in ctl:
|
||||||
|
pt[0] += dx
|
||||||
|
pt[1] += dy
|
||||||
|
|
||||||
|
def stretch(pathComp, xscale, yscale, org):
|
||||||
|
for ctl in pathComp:
|
||||||
|
for pt in ctl:
|
||||||
|
pt[0] = org[0] + (pt[0] - org[0]) * xscale
|
||||||
|
pt[1] = org[1] + (pt[1] - org[1]) * yscale
|
||||||
|
|
||||||
|
class GuillocheContour(pathmodifier.PathModifier):
|
||||||
|
def add_arguments(self, pars):
|
||||||
|
pars.add_argument("--contourFunction", default="sin", help="Function defining the contour")
|
||||||
|
pars.add_argument("--tab")
|
||||||
|
pars.add_argument("--frequency", type=int, default=10, help="Frequency of the function")
|
||||||
|
pars.add_argument("--amplitude", type=int, default=1, help="Amplitude of the function")
|
||||||
|
pars.add_argument("--phaseOffset", type=int, default=0, help="Phase offset of the function")
|
||||||
|
pars.add_argument("--offset", type=int, default=0, help="Offset of the function")
|
||||||
|
pars.add_argument("--nodes", type=int, default=20, help="Count of nodes")
|
||||||
|
pars.add_argument("--remove", type=inkex.Boolean, default=False, help="If Ttrue, control object will be removed")
|
||||||
|
pars.add_argument("--strokeColor", type=inkex.Color)
|
||||||
|
pars.add_argument("--amplitude1", type=float, default=0.0, help="Amplitude of first harmonic")
|
||||||
|
pars.add_argument("--phase1", type=int, default=0, help="Phase offset of first harmonic")
|
||||||
|
pars.add_argument("--amplitude2", type=float, default=0.0, help="Amplitude of second harmonic")
|
||||||
|
pars.add_argument("--phase2", type=int, default=0, help="Phase offset of second harmonic")
|
||||||
|
pars.add_argument("--amplitude3", type=float, default=0.0, help="Amplitude of third harmonic")
|
||||||
|
pars.add_argument("--phase3", type=int, default=0, help="Phase offset of third harmonic")
|
||||||
|
pars.add_argument("--amplitude4", type=float, default=0.0, help="Amplitude of fourth harmonic")
|
||||||
|
pars.add_argument("--phase4", type=int, default=0, help="Phase offset of fourth harmonic")
|
||||||
|
pars.add_argument("--amplitude5", type=float, default=0.0, help="Amplitude of fifth harmonic")
|
||||||
|
pars.add_argument("--phase5", type=int, default=0, help="Phase offset of fifth harmonic")
|
||||||
|
|
||||||
|
|
||||||
|
def prepareSelectionList(self):
|
||||||
|
self.skeletons = self.svg.selected
|
||||||
|
pathmodifier.PathModifier.expand_clones(self, self.skeletons, True, False)
|
||||||
|
pathmodifier.PathModifier.objects_to_paths(self, self.skeletons, True)
|
||||||
|
|
||||||
|
def linearizePath(self, skelPath, offs):
|
||||||
|
comps, lengths = linearize(skelPath)
|
||||||
|
|
||||||
|
self.skelCompIsClosed = isSkeletonClosed(comps)
|
||||||
|
|
||||||
|
if (self.skelCompIsClosed and offs != 0):
|
||||||
|
centroid = getPolygonCentroid(comps)
|
||||||
|
|
||||||
|
for i in range(len(comps)):
|
||||||
|
pt1 = comps[i]
|
||||||
|
dist = inkex.bezier.pointdistance(centroid, pt1)
|
||||||
|
|
||||||
|
comps[i] = getPtOnSeg(centroid, pt1, dist, dist + offs)
|
||||||
|
|
||||||
|
if i > 0:
|
||||||
|
lengths[i - 1] = inkex.bezier.pointdistance(comps[i - 1], comps[i])
|
||||||
|
|
||||||
|
return (comps, lengths)
|
||||||
|
|
||||||
|
def getFunction(self, func):
|
||||||
|
res = ''
|
||||||
|
|
||||||
|
presetAmp1 = presetAmp2 = presetAmp3 = presetAmp4 = presetAmp5 = 0.0
|
||||||
|
presetPhOf1 = presetPhOf2 = presetPhOf3 = presetPhOf4 = presetPhOf5 = presetOffs = 0
|
||||||
|
|
||||||
|
if (func == 'sin' or func == 'cos'):
|
||||||
|
return '(' + str(self.options.amplitude) + ') * ' + func + '(x + (' + str(self.options.phaseOffset / 100.0 * 2 * pi) + '))'
|
||||||
|
|
||||||
|
if func == 'env1':
|
||||||
|
presetAmp1 = presetAmp3 = 0.495
|
||||||
|
elif func == 'env2':
|
||||||
|
presetAmp1 = presetAmp3 = 0.65
|
||||||
|
presetPhOf1 = presetPhOf3 = 25
|
||||||
|
elif func == 'env3':
|
||||||
|
presetAmp1 = 0.75
|
||||||
|
presetPhOf1 = 25
|
||||||
|
presetAmp3 = 0.24
|
||||||
|
presetPhOf3 = -25
|
||||||
|
elif func == 'env4':
|
||||||
|
presetAmp1 = 1.105
|
||||||
|
presetAmp3 = 0.27625
|
||||||
|
presetPhOf3 = 50
|
||||||
|
elif func == 'env5':
|
||||||
|
presetAmp1 = 0.37464375
|
||||||
|
presetPhOf1 = 25
|
||||||
|
presetAmp2 = 0.5655
|
||||||
|
presetAmp3 = 0.37464375
|
||||||
|
presetPhOf3 = -25
|
||||||
|
elif func == 'env6':
|
||||||
|
presetAmp1 = 0.413725
|
||||||
|
presetPhOf1 = 25
|
||||||
|
presetAmp2 = 0.45695
|
||||||
|
presetPhOf2 = 50
|
||||||
|
presetAmp3 = 0.494
|
||||||
|
presetPhOf3 = -25
|
||||||
|
elif func == 'env7':
|
||||||
|
presetAmp1 = 0.624
|
||||||
|
presetPhOf1 = 25
|
||||||
|
presetAmp2 = 0.312
|
||||||
|
presetAmp3 = 0.624
|
||||||
|
presetPhOf3 = 25
|
||||||
|
elif func == 'env8':
|
||||||
|
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 = inkex.bezier.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 = inkex.bezier.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.__iter__():
|
||||||
|
resPath = []
|
||||||
|
pattern = 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')
|
||||||
|
|
||||||
|
# Get any path transform for the contour output
|
||||||
|
xfm = skeleton.get('transform')
|
||||||
|
|
||||||
|
firstSkel = skeleton.get('d')
|
||||||
|
|
||||||
|
if s:
|
||||||
|
pattern.set('style', setColorAndOpacity(s, self.options.strokeHexColor, self.strokeOpacity))
|
||||||
|
|
||||||
|
if xfm:
|
||||||
|
pattern.set('transform', xfm)
|
||||||
|
|
||||||
|
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', str(paths.Path(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
|
||||||
|
#pattPath = inkex.paths.Path(skeleton.get('d'))
|
||||||
|
|
||||||
|
patternCubicPath = paths.CubicSuperPath(paths.Path(pattern.get('d')))
|
||||||
|
patternPath = inkex.paths.Path(patternCubicPath)
|
||||||
|
|
||||||
|
bbox = patternPath.bounding_box()
|
||||||
|
|
||||||
|
width = bbox.maximum[0] - bbox.minimum[0]
|
||||||
|
dx = width
|
||||||
|
|
||||||
|
if dx < 0.01:
|
||||||
|
exit(_("The total length of the pattern is too small."))
|
||||||
|
|
||||||
|
curPath = deepcopy(patternCubicPath)
|
||||||
|
|
||||||
|
xoffset = self.skelComp[0][0] - bbox.minimum[0]
|
||||||
|
yoffset = self.skelComp[0][1] - (bbox.bottom + bbox.top) / 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
|
||||||
|
|
||||||
|
# This final step takes the newly constructed contour from a multilevel list to
|
||||||
|
# a formal svg path
|
||||||
|
step1rep = paths.CubicSuperPath(resPath).to_path().to_arrays()
|
||||||
|
step2rep = str(paths.Path(step1rep))
|
||||||
|
pattern.set('d', step2rep)
|
||||||
|
|
||||||
|
|
||||||
|
if __name__ == '__main__':
|
||||||
|
GuillocheContour().run()
|
||||||
@ -0,0 +1,58 @@
|
|||||||
|
<?xml version="1.0" encoding="UTF-8"?>
|
||||||
|
<inkscape-extension xmlns="http://www.inkscape.org/namespace/inkscape/extension">
|
||||||
|
<name>Guilloche Pattern</name>
|
||||||
|
<id>fablabchemnitz.de.guilloche_pattern</id>
|
||||||
|
<param name="patternFunction" type="optiongroup" appearance="combo" gui-text="Function">
|
||||||
|
<option value="line">Line</option>
|
||||||
|
<option value="sin">Sin</option>
|
||||||
|
<option value="cos">Cos</option>
|
||||||
|
<option value="env1">Env1</option>
|
||||||
|
<option value="env2">Env2</option>
|
||||||
|
<option value="env3">Env3</option>
|
||||||
|
<option value="env4">Env4</option>
|
||||||
|
<option value="env5">Env5</option>
|
||||||
|
<option value="env6">Env6</option>
|
||||||
|
<option value="env7">Env7</option>
|
||||||
|
<option value="env8">Env8</option>
|
||||||
|
<option value="env9">Env9</option>
|
||||||
|
<option value="env10">Env10</option>
|
||||||
|
<option value="env11">Env11</option>
|
||||||
|
<option value="env12">Env12</option>
|
||||||
|
</param>
|
||||||
|
<param name="tab" type="notebook">
|
||||||
|
<page name="pattern" gui-text="Pattern">
|
||||||
|
<param name="frequency" type="int" min="1" max="100" gui-text="Frequency:">10</param>
|
||||||
|
<param name="amplitude" type="int" min="-300" max="300" gui-text="Amplitude:">100</param>
|
||||||
|
<param name="phaseOffset" type="int" min="-100" max="100" gui-text="Phase offset:">0</param>
|
||||||
|
<param name="offset" type="int" min="-100" max="100" gui-text="Offset:">0</param>
|
||||||
|
<param name="phaseCoverage" type="int" min="-100" max="100" gui-text="Phase Coverage">100</param>
|
||||||
|
<param name="series" type="int" min="1" max="50" gui-text="Series">1</param>
|
||||||
|
<param name="nodes" type="int" min="2" max="1000" gui-text="Number of nodes:">20</param>
|
||||||
|
<param name="remove" type="bool" gui-text="Remove control objects">false</param>
|
||||||
|
<param name="strokeColor" type="color" gui-text="Stroke color"></param>
|
||||||
|
</page>
|
||||||
|
<page name="function" gui-text="Function">
|
||||||
|
<param name="amplitude1" type="float" min="-10.0" max="10.0" precision="2" gui-text="Amplitude 1:">0.0</param>
|
||||||
|
<param name="phase1" type="int" min="-100" max="100" gui-text="Phase offset 1:">0</param>
|
||||||
|
<param name="amplitude2" type="float" min="-10.0" max="10.0" precision="2" gui-text="Amplitude 2:">0.0</param>
|
||||||
|
<param name="phase2" type="int" min="-100" max="100" gui-text="Phase offset 2:">0</param>
|
||||||
|
<param name="amplitude3" type="float" min="-10.0" max="10.0" precision="2" gui-text="Amplitude 3:">0.0</param>
|
||||||
|
<param name="phase3" type="int" min="-100" max="100" gui-text="Phase offset 3:">0</param>
|
||||||
|
<param name="amplitude4" type="float" min="-10.0" max="10.0" precision="2" gui-text="Amplitude 4:">0.0</param>
|
||||||
|
<param name="phase4" type="int" min="-100" max="100" gui-text="Phase offset 4:">0</param>
|
||||||
|
<param name="amplitude5" type="float" min="-10.0" max="10.0" precision="2" gui-text="Amplitude 5:">0.0</param>
|
||||||
|
<param name="phase5" type="int" min="-100" max="100" gui-text="Phase offset 5:">0</param>
|
||||||
|
</page>
|
||||||
|
</param>
|
||||||
|
<effect>
|
||||||
|
<object-type>all</object-type>
|
||||||
|
<effects-menu>
|
||||||
|
<submenu name="FabLab Chemnitz">
|
||||||
|
<submenu name="Modify existing Path(s)"/>
|
||||||
|
</submenu>
|
||||||
|
</effects-menu>
|
||||||
|
</effect>
|
||||||
|
<script>
|
||||||
|
<command location="inx" interpreter="python">guilloche_pattern.py</command>
|
||||||
|
</script>
|
||||||
|
</inkscape-extension>
|
||||||
@ -0,0 +1,972 @@
|
|||||||
|
#! /usr/bin/env python3
|
||||||
|
'''
|
||||||
|
This program 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.
|
||||||
|
|
||||||
|
This program 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 this program; if not, write to the Free Software
|
||||||
|
Foundation, Inc., 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301, USA.
|
||||||
|
|
||||||
|
Quick description:
|
||||||
|
This extension is an update to the guilloche_pattern extension that works under inkscape v0.92
|
||||||
|
|
||||||
|
'''
|
||||||
|
# standard library
|
||||||
|
from math import asin, atan2, pi, sin, cos
|
||||||
|
from copy import deepcopy
|
||||||
|
# local library
|
||||||
|
import inkex
|
||||||
|
import pathmodifier
|
||||||
|
import cubicsuperpath
|
||||||
|
from inkex import paths
|
||||||
|
from lxml import etree
|
||||||
|
|
||||||
|
def modifySkeletonPath(skelPath):
|
||||||
|
resPath = []
|
||||||
|
l = len(skelPath)
|
||||||
|
resPath += skelPath[0]
|
||||||
|
|
||||||
|
if l > 1:
|
||||||
|
for i in range(1, l):
|
||||||
|
if skelPath[i][0][1] == resPath[-1][1]:
|
||||||
|
skelPath[i][0][0] = resPath[-1][0]
|
||||||
|
del resPath[-1]
|
||||||
|
|
||||||
|
resPath += skelPath[i]
|
||||||
|
|
||||||
|
return resPath
|
||||||
|
|
||||||
|
def linearize(p, tolerance=0.001):
|
||||||
|
'''
|
||||||
|
This function receives a component of a 'cubicsuperpath' and returns two things:
|
||||||
|
The path subdivided in many straight segments, and an array containing the length
|
||||||
|
of each segment.
|
||||||
|
'''
|
||||||
|
zero = 0.000001
|
||||||
|
i = 0
|
||||||
|
d = 0
|
||||||
|
lengths=[]
|
||||||
|
|
||||||
|
while i < len(p) - 1:
|
||||||
|
box = inkex.bezier.pointdistance(p[i][1], p[i][2])
|
||||||
|
box += inkex.bezier.pointdistance(p[i][2], p[i+1][0])
|
||||||
|
box += inkex.bezier.pointdistance(p[i+1][0], p[i+1][1])
|
||||||
|
chord = inkex.bezier.pointdistance(p[i][1], p[i+1][1])
|
||||||
|
|
||||||
|
if (box - chord) > tolerance:
|
||||||
|
b1, b2 = inkex.bezier.beziersplitatt([p[i][1], p[i][2], p[i + 1][0], p[i + 1][1]], 0.5)
|
||||||
|
p[i][2][0], p[i][2][1] = b1[1]
|
||||||
|
p[i + 1][0][0], p[i + 1][0][1] = b2[2]
|
||||||
|
p.insert(i + 1, [[b1[2][0], b1[2][1]], [b1[3][0], b1[3][1]], [b2[1][0], b2[1][1]]])
|
||||||
|
else:
|
||||||
|
d = (box + chord) / 2
|
||||||
|
lengths.append(d)
|
||||||
|
i += 1
|
||||||
|
|
||||||
|
new = [p[i][1] for i in range(0, len(p) - 1) if lengths[i] > zero]
|
||||||
|
new.append(p[-1][1])
|
||||||
|
lengths = [l for l in lengths if l > zero]
|
||||||
|
|
||||||
|
return (new, lengths)
|
||||||
|
|
||||||
|
def isSkeletonClosed(sklCmp):
|
||||||
|
|
||||||
|
requiredPrecision = 0.005
|
||||||
|
|
||||||
|
sctest1 = abs(sklCmp[0][0] - sklCmp[-1][0]) > requiredPrecision
|
||||||
|
sctest2 = abs(sklCmp[0][1] - sklCmp[-1][1]) > requiredPrecision
|
||||||
|
|
||||||
|
if sctest1 or sctest2:
|
||||||
|
return False
|
||||||
|
|
||||||
|
return True
|
||||||
|
|
||||||
|
def checkCompatibility(bbox1, bbox2, comps1, comps2):
|
||||||
|
cl1 = isSkeletonClosed(comps1)
|
||||||
|
cl2 = isSkeletonClosed(comps2)
|
||||||
|
|
||||||
|
if (cl1 and cl2):
|
||||||
|
if ((bbox1.left >= bbox2.left) and (bbox1.right <= bbox2.right) and (bbox1.top >= bbox2.top) and (bbox1.bottom <= bbox2.bottom)):
|
||||||
|
return (True, False)
|
||||||
|
elif ((bbox1.left <= bbox2.left) and (bbox1.right >= bbox2.right) and (bbox1.top <= bbox2.top) and (bbox1.bottom >= bbox2.bottom)):
|
||||||
|
return (True, True)
|
||||||
|
|
||||||
|
elif (not cl1 and not cl2):
|
||||||
|
if (comps1[0][0] == comps2[0][0] and comps1[-1][0] == comps2[-1][0]):
|
||||||
|
if ((comps1[0][0] < comps1[-1][0] and comps1[0][1] >= comps2[0][1]) or (comps1[0][0] > comps1[-1][0] and comps1[0][1] <= comps2[0][1])):
|
||||||
|
return (True, False)
|
||||||
|
else:
|
||||||
|
return (True, True)
|
||||||
|
|
||||||
|
elif (comps1[0][1] == comps2[0][1] and comps1[-1][1] == comps2[-1][1]):
|
||||||
|
if ((comps1[0][1] < comps1[-1][1] and comps1[0][0] <= comps2[0][0]) or (comps1[0][1] > comps1[-1][1] and comps1[0][0] >= comps2[0][0])):
|
||||||
|
return (True, False)
|
||||||
|
else:
|
||||||
|
return (True, True)
|
||||||
|
|
||||||
|
return (False, False)
|
||||||
|
|
||||||
|
def linearizeEnvelopes(envs):
|
||||||
|
|
||||||
|
env0Path = paths.Path(envs[0].get('d'))
|
||||||
|
env1Path = paths.Path(envs[1].get('d'))
|
||||||
|
env0CubicPath = paths.CubicSuperPath(env0Path)
|
||||||
|
env1CubicPath = paths.CubicSuperPath(env1Path)
|
||||||
|
env0ReformedPath = paths.Path(env0CubicPath)
|
||||||
|
env1ReformedPath = paths.Path(env1CubicPath)
|
||||||
|
|
||||||
|
bbox1 = env0ReformedPath.bounding_box()
|
||||||
|
bbox2 = env1ReformedPath.bounding_box()
|
||||||
|
|
||||||
|
comps1, lengths1 = linearize(modifySkeletonPath(env0CubicPath))
|
||||||
|
comps2, lengths2 = linearize(modifySkeletonPath(env1CubicPath))
|
||||||
|
|
||||||
|
correctness, shouldSwap = checkCompatibility(bbox1, bbox2, comps1, comps2)
|
||||||
|
|
||||||
|
if not shouldSwap:
|
||||||
|
return (comps1, lengths1, comps2, lengths2, bbox1, bbox2, correctness)
|
||||||
|
else:
|
||||||
|
return (comps2, lengths2, comps1, lengths1, bbox2, bbox1, correctness)
|
||||||
|
|
||||||
|
def getMidPoint(p1, p2):
|
||||||
|
return [(p1[0] + p2[0]) / 2, (p1[1] + p2[1]) / 2]
|
||||||
|
|
||||||
|
def getPoint(p1, p2, x, y):
|
||||||
|
x1 = p1[0]
|
||||||
|
y1 = p1[1]
|
||||||
|
x2 = p2[0]
|
||||||
|
y2 = p2[1]
|
||||||
|
|
||||||
|
a = (y1 - y2) / (x1 - x2)
|
||||||
|
b = y1 - a * x1
|
||||||
|
|
||||||
|
if x == None:
|
||||||
|
x = (y - b) / a
|
||||||
|
else:
|
||||||
|
y = a * x + b
|
||||||
|
|
||||||
|
return [x, y]
|
||||||
|
|
||||||
|
def getPtOnSeg(p1, p2, segLen, l):
|
||||||
|
if p1[0] == p2[0]:
|
||||||
|
return [p1[0], p1[1] - l] if p1[1] > p2[1] else [p1[0], p1[1] + l]
|
||||||
|
|
||||||
|
if p1[1] == p2[1]:
|
||||||
|
return [p1[0] - l, p1[1]] if p1[0] > p2[0] else [p1[0] + l, p1[1]]
|
||||||
|
|
||||||
|
dy = abs(p1[1] - p2[1])
|
||||||
|
angle = asin(dy / segLen)
|
||||||
|
dx = l * cos(angle)
|
||||||
|
x = p1[0] - dx if p1[0] > p2[0] else p1[0] + dx
|
||||||
|
|
||||||
|
return getPoint(p1, p2, x, None)
|
||||||
|
|
||||||
|
def getPtsByX(pt, comps, isClosed):
|
||||||
|
res = []
|
||||||
|
|
||||||
|
for i in range(1, len(comps)):
|
||||||
|
if ((comps[i - 1][0] <= pt[0] and pt[0] <= comps[i][0]) or (comps[i - 1][0] >= pt[0] and pt[0] >= comps[i][0])):
|
||||||
|
if comps[i - 1][0] == comps[i][0]:
|
||||||
|
d1 = inkex.bezier.pointdistance(pt, comps[i - 1])
|
||||||
|
d2 = inkex.bezier.pointdistance(pt, comps[i])
|
||||||
|
|
||||||
|
if d1 < d2:
|
||||||
|
res.append(comps[i - 1])
|
||||||
|
else:
|
||||||
|
res.append(comps[i])
|
||||||
|
elif comps[i - 1][1] == comps[i][1]:
|
||||||
|
res.append([pt[0], comps[i - 1][1]])
|
||||||
|
else:
|
||||||
|
res.append(getPoint(comps[i - 1], comps[i], pt[0], None))
|
||||||
|
|
||||||
|
if not isClosed:
|
||||||
|
return res[0]
|
||||||
|
|
||||||
|
return res
|
||||||
|
|
||||||
|
def getPtsByY(pt, comps, isClosed):
|
||||||
|
res = []
|
||||||
|
|
||||||
|
for i in range(1, len(comps)):
|
||||||
|
if ((comps[i - 1][1] <= pt[1] and pt[1] <= comps[i][1]) or (comps[i - 1][1] >= pt[1] and pt[1] >= comps[i][1])):
|
||||||
|
if comps[i - 1][1] == comps[i][1]:
|
||||||
|
d1 = inkex.bezier.pointdistance(pt, comps[i - 1])
|
||||||
|
d2 = inkex.bezier.pointdistance(pt, comps[i])
|
||||||
|
|
||||||
|
if d1 < d2:
|
||||||
|
res.append(comps[i - 1])
|
||||||
|
else:
|
||||||
|
res.append(comps[i])
|
||||||
|
elif comps[i - 1][0] == comps[i][0]:
|
||||||
|
res.append([comps[i - 1][0], pt[1]])
|
||||||
|
else:
|
||||||
|
res.append(getPoint(comps[i - 1], comps[i], None, pt[1]))
|
||||||
|
|
||||||
|
if not isClosed:
|
||||||
|
return res[0]
|
||||||
|
|
||||||
|
return res
|
||||||
|
|
||||||
|
def getIntersectionPt(cntr, p, comps):
|
||||||
|
# Find the intersection of the infinitely extended line from cntr to p with comps
|
||||||
|
# This algorithm assumes that each comps segment is a straight line and that the comps segment subtends less than
|
||||||
|
# pi angle at cntr
|
||||||
|
|
||||||
|
twopi = 2.0 * pi
|
||||||
|
a = atan2((cntr[1] - p[1]), (cntr[0] - p[0])) # a is a four-quadrant angle of the cntr->p line, -pi <= a <= pi
|
||||||
|
|
||||||
|
obtPts = []
|
||||||
|
|
||||||
|
for i in range(1, len(comps)): # Check every interval in comps for an intersection
|
||||||
|
a2 = atan2((cntr[1] - comps[i][1]) , (cntr[0] - comps[i][0]))
|
||||||
|
a1 = atan2((cntr[1] - comps[i - 1][1]) , (cntr[0] - comps[i - 1][0]))
|
||||||
|
|
||||||
|
da1a = a - a1 # the angle from a1 to a
|
||||||
|
da12 = a2 - a1 # the angle interval covered by comps[i-1]->comps[i]
|
||||||
|
|
||||||
|
#inkex.errormsg("raw da1a = " + str(da1a))
|
||||||
|
#inkex.errormsg("raw da12 = " + str(da12))
|
||||||
|
|
||||||
|
if da1a > pi: # make the angle fit -pi->pi
|
||||||
|
da1a -= twopi
|
||||||
|
elif da1a < -pi:
|
||||||
|
da1a += twopi
|
||||||
|
|
||||||
|
if da12 > pi: # make the angle fit -pi->pi
|
||||||
|
da12 -= twopi
|
||||||
|
elif da12 < -pi:
|
||||||
|
da12 += twopi
|
||||||
|
|
||||||
|
frac = da1a / da12
|
||||||
|
|
||||||
|
if frac < 0.0 or frac > 1.0: # if the line does not cross the comps interval, move on
|
||||||
|
continue
|
||||||
|
|
||||||
|
x = frac * comps[i][0] + (1.0 - frac) * comps[i-1][0]
|
||||||
|
y = frac * comps[i][1] + (1.0 - frac) * comps[i-1][1]
|
||||||
|
|
||||||
|
obtPts.append([x,y])
|
||||||
|
|
||||||
|
if len(obtPts) < 1:
|
||||||
|
inkex.errormsg("No intersection pt found")
|
||||||
|
exit()
|
||||||
|
else:
|
||||||
|
return obtPts[0]
|
||||||
|
|
||||||
|
def getPolygonCentroid(polygon):
|
||||||
|
x = 0
|
||||||
|
y = 0
|
||||||
|
n = len(polygon)
|
||||||
|
|
||||||
|
for vert in polygon:
|
||||||
|
x += vert[0]
|
||||||
|
y += vert[1]
|
||||||
|
|
||||||
|
x = x / n
|
||||||
|
y = y / n
|
||||||
|
|
||||||
|
return [x, y]
|
||||||
|
|
||||||
|
def getDistBetweenFirstPts(comps1, comps2, bbox1, bbox2, nest):
|
||||||
|
pt1 = comps1[0]
|
||||||
|
pt2 = None
|
||||||
|
|
||||||
|
if (bbox1[0] == bbox2[0] and bbox1[1] == bbox2[1]):
|
||||||
|
pt2 = getPtsByX(pt1, comps2, False)
|
||||||
|
elif (bbox1[2] == bbox2[2] and bbox1[3] == bbox2[3]):
|
||||||
|
pt2 = getPtsByY(pt1, comps2, False)
|
||||||
|
elif nest:
|
||||||
|
centroid = getPolygonCentroid(comps1)
|
||||||
|
pt2 = getIntersectionPt(centroid, pt1, comps2)
|
||||||
|
|
||||||
|
dist = inkex.bezier.pointdistance(pt1, pt2)
|
||||||
|
|
||||||
|
return dist
|
||||||
|
|
||||||
|
def getCirclePath(startPt, rx):
|
||||||
|
curX = startPt[0]
|
||||||
|
curY = startPt[1]
|
||||||
|
signRX = signRY = 1
|
||||||
|
|
||||||
|
res = 'M ' + str(curX) + ',' + str(curY) + ' A '
|
||||||
|
|
||||||
|
for i in range(4):
|
||||||
|
res += str(rx) + ',' + str(rx) + ' 0 0 1 '
|
||||||
|
|
||||||
|
if i % 2 == 0:
|
||||||
|
signRX = -signRX
|
||||||
|
else:
|
||||||
|
signRY = -signRY
|
||||||
|
|
||||||
|
curX += signRX * rx
|
||||||
|
curY += signRY * rx
|
||||||
|
|
||||||
|
res += str(curX) + ',' + str(curY) + ' '
|
||||||
|
|
||||||
|
res += 'Z'
|
||||||
|
|
||||||
|
return res
|
||||||
|
|
||||||
|
def getClosedLinearizedSkeletonPath(comps1, comps2, offs, isLine):
|
||||||
|
path = []
|
||||||
|
lengths = []
|
||||||
|
|
||||||
|
centroid = getPolygonCentroid(comps1)
|
||||||
|
|
||||||
|
if isLine:
|
||||||
|
for pt2 in comps2:
|
||||||
|
pt1 = getIntersectionPt(centroid, pt2, comps1)
|
||||||
|
midPt = getMidPoint(pt1, pt2)
|
||||||
|
|
||||||
|
if offs > 0:
|
||||||
|
dist = inkex.bezier.pointdistance(pt1, pt2)
|
||||||
|
path.append(getPtOnSeg(pt1, pt2, dist, offs * dist))
|
||||||
|
else:
|
||||||
|
path.append(midPt)
|
||||||
|
|
||||||
|
if len(path) > 1:
|
||||||
|
lengths.append(inkex.bezier.pointdistance(path[-2], path[-1]))
|
||||||
|
else:
|
||||||
|
pt1 = comps1[0]
|
||||||
|
pt2 = getIntersectionPt(centroid, pt1, comps2)
|
||||||
|
midPt = getMidPoint(pt1, pt2)
|
||||||
|
rx = inkex.bezier.pointdistance(centroid, midPt)
|
||||||
|
|
||||||
|
svgPath = getCirclePath(midPt, rx)
|
||||||
|
|
||||||
|
inkexPath = paths.Path(svgPath)
|
||||||
|
cubicPath = paths.CubicSuperPath(inkexPath)
|
||||||
|
path, lengths = linearize(modifySkeletonPath(cubicPath))
|
||||||
|
|
||||||
|
return (path, lengths)
|
||||||
|
|
||||||
|
def getHorizontalLinearizedSkeletonPath(comps1, comps2, offs, isLine):
|
||||||
|
path = []
|
||||||
|
lengths = []
|
||||||
|
|
||||||
|
if isLine:
|
||||||
|
for pt1 in comps1:
|
||||||
|
pt2 = getPtsByX(pt1, comps2, False)
|
||||||
|
midPt = getMidPoint(pt1, pt2)
|
||||||
|
|
||||||
|
if offs > 0:
|
||||||
|
dist = inkex.bezier.pointdistance(pt1, pt2)
|
||||||
|
path.append(getPtOnSeg(pt1, pt2, dist, offs * dist))
|
||||||
|
else:
|
||||||
|
path.append(midPt)
|
||||||
|
|
||||||
|
if len(path) > 1:
|
||||||
|
lengths.append(inkex.bezier.pointdistance(path[-2], path[-1]))
|
||||||
|
else:
|
||||||
|
pt1 = comps1[0]
|
||||||
|
pt2 = comps2[0]
|
||||||
|
|
||||||
|
firstPt = getMidPoint(pt1, pt2)
|
||||||
|
path.append(firstPt)
|
||||||
|
|
||||||
|
lastPt = [comps1[-1][0], firstPt[1]]
|
||||||
|
path.append(lastPt)
|
||||||
|
|
||||||
|
lengths.append(inkex.bezier.pointdistance(path[-2], path[-1]))
|
||||||
|
|
||||||
|
return (path, lengths)
|
||||||
|
|
||||||
|
def getVerticalLinearizedSkeletonPath(comps1, comps2, offs, isLine):
|
||||||
|
path = []
|
||||||
|
lengths = []
|
||||||
|
|
||||||
|
if isLine:
|
||||||
|
for pt1 in comps1:
|
||||||
|
pt2 = getPtsByY(pt1, comps2, False)
|
||||||
|
midPt = getMidPoint(pt1, pt2)
|
||||||
|
|
||||||
|
if offs > 0:
|
||||||
|
dist = inkex.bezier.pointdistance(pt1, pt2)
|
||||||
|
path.append(getPtOnSeg(pt1, pt2, dist, offs * dist))
|
||||||
|
else:
|
||||||
|
path.append(midPt)
|
||||||
|
|
||||||
|
if len(path) > 1:
|
||||||
|
lengths.append(inkex.bezier.pointdistance(path[-2], path[-1]))
|
||||||
|
else:
|
||||||
|
pt1 = comps1[0]
|
||||||
|
pt2 = comps2[0]
|
||||||
|
|
||||||
|
firstPt = getMidPoint(pt1, pt2)
|
||||||
|
path.append(firstPt)
|
||||||
|
|
||||||
|
lastPt = [firstPt[0], comps1[-1][1]]
|
||||||
|
path.append(lastPt)
|
||||||
|
|
||||||
|
lengths.append(inkex.bezier.pointdistance(path[-2], path[-1]))
|
||||||
|
|
||||||
|
return (path, lengths)
|
||||||
|
|
||||||
|
def getColorAndOpacity(longColor):
|
||||||
|
'''
|
||||||
|
Convert the long into a #rrggbb color value
|
||||||
|
Conversion back is A + B*256^1 + G*256^2 + R*256^3
|
||||||
|
'''
|
||||||
|
longColor = int(longColor)
|
||||||
|
|
||||||
|
if longColor < 0:
|
||||||
|
longColor = longColor & 0xFFFFFFFF
|
||||||
|
|
||||||
|
hexColor = hex(longColor)
|
||||||
|
lhc = len(hexColor)
|
||||||
|
|
||||||
|
hexOpacity = hexColor[lhc-2 : ]
|
||||||
|
hexColor = '#' + hexColor[2:-2].rjust(6, '0')
|
||||||
|
|
||||||
|
return (hexColor, hexOpacity)
|
||||||
|
|
||||||
|
def setColorAndOpacity(style, color, opacity):
|
||||||
|
declarations = style.split(';')
|
||||||
|
strokeOpacityInStyle = False
|
||||||
|
newOpacity = round((int(opacity, 16) / 255.0), 8)
|
||||||
|
|
||||||
|
for i,decl in enumerate(declarations):
|
||||||
|
parts = decl.split(':', 2)
|
||||||
|
|
||||||
|
if len(parts) == 2:
|
||||||
|
(prop, val) = parts
|
||||||
|
prop = prop.strip().lower()
|
||||||
|
|
||||||
|
if (prop == 'stroke' and val != color):
|
||||||
|
declarations[i] = prop + ':' + color
|
||||||
|
|
||||||
|
if prop == 'stroke-opacity':
|
||||||
|
if val != newOpacity:
|
||||||
|
declarations[i] = prop + ':' + str(newOpacity)
|
||||||
|
|
||||||
|
strokeOpacityInStyle = True
|
||||||
|
|
||||||
|
if not strokeOpacityInStyle:
|
||||||
|
declarations.append('stroke-opacity' + ':' + str(newOpacity))
|
||||||
|
|
||||||
|
return ";".join(declarations)
|
||||||
|
|
||||||
|
def drawfunction(nodes, width, fx):
|
||||||
|
# x-bounds of the plane
|
||||||
|
xstart = 0.0
|
||||||
|
xend = 2 * pi
|
||||||
|
# y-bounds of the plane
|
||||||
|
ybottom = -1.0
|
||||||
|
ytop = 1.0
|
||||||
|
# size and location of the plane on the canvas
|
||||||
|
height = 2
|
||||||
|
left = 15
|
||||||
|
bottom = 15 + height
|
||||||
|
|
||||||
|
# function specified by the user
|
||||||
|
try:
|
||||||
|
if fx != "":
|
||||||
|
f = eval('lambda x: ' + fx.strip('"'))
|
||||||
|
except SyntaxError:
|
||||||
|
return []
|
||||||
|
|
||||||
|
scalex = width / (xend - xstart)
|
||||||
|
xoff = left
|
||||||
|
# conver x-value to coordinate
|
||||||
|
coordx = lambda x: (x - xstart) * scalex + xoff
|
||||||
|
|
||||||
|
scaley = height / (ytop - ybottom)
|
||||||
|
yoff = bottom
|
||||||
|
# conver y-value to coordinate
|
||||||
|
coordy = lambda y: (ybottom - y) * scaley + yoff
|
||||||
|
|
||||||
|
# step is the distance between nodes on x
|
||||||
|
step = (xend - xstart) / (nodes - 1)
|
||||||
|
third = step / 3.0
|
||||||
|
# step used in calculating derivatives
|
||||||
|
ds = step * 0.001
|
||||||
|
|
||||||
|
# initialize function and derivative for 0;
|
||||||
|
# they are carried over from one iteration to the next, to avoid extra function calculations.
|
||||||
|
x0 = xstart
|
||||||
|
y0 = f(xstart)
|
||||||
|
|
||||||
|
# numerical derivative, using 0.001*step as the small differential
|
||||||
|
x1 = xstart + ds # Second point AFTER first point (Good for first point)
|
||||||
|
y1 = f(x1)
|
||||||
|
|
||||||
|
dx0 = (x1 - x0) / ds
|
||||||
|
dy0 = (y1 - y0) / ds
|
||||||
|
|
||||||
|
# path array
|
||||||
|
a = []
|
||||||
|
# Start curve
|
||||||
|
a.append(['M', [coordx(x0), coordy(y0)]])
|
||||||
|
|
||||||
|
for i in range(int(nodes - 1)):
|
||||||
|
x1 = (i + 1) * step + xstart
|
||||||
|
x2 = x1 - ds # Second point BEFORE first point (Good for last point)
|
||||||
|
y1 = f(x1)
|
||||||
|
y2 = f(x2)
|
||||||
|
|
||||||
|
# numerical derivative
|
||||||
|
dx1 = (x1 - x2) / ds
|
||||||
|
dy1 = (y1 - y2) / ds
|
||||||
|
|
||||||
|
# create curve
|
||||||
|
a.append(['C', [coordx(x0 + (dx0 * third)), coordy(y0 + (dy0 * third)),
|
||||||
|
coordx(x1 - (dx1 * third)), coordy(y1 - (dy1 * third)),
|
||||||
|
coordx(x1), coordy(y1)]])
|
||||||
|
|
||||||
|
# Next segment's start is this segment's end
|
||||||
|
x0 = x1
|
||||||
|
y0 = y1
|
||||||
|
# Assume the function is smooth everywhere, so carry over the derivative too
|
||||||
|
dx0 = dx1
|
||||||
|
dy0 = dy1
|
||||||
|
|
||||||
|
return a
|
||||||
|
|
||||||
|
def offset(pathComp, dx, dy):
|
||||||
|
for ctl in pathComp:
|
||||||
|
for pt in ctl:
|
||||||
|
pt[0] += dx
|
||||||
|
pt[1] += dy
|
||||||
|
|
||||||
|
def compsToSVGd(p):
|
||||||
|
f = p[0]
|
||||||
|
p = p[1:]
|
||||||
|
svgd = 'M %.9f,%.9f ' % (f[0], f[1])
|
||||||
|
|
||||||
|
for x in p:
|
||||||
|
svgd += 'L %.9f,%.9f ' % (x[0], x[1])
|
||||||
|
|
||||||
|
return svgd
|
||||||
|
|
||||||
|
scRepCounter = 0
|
||||||
|
|
||||||
|
def stretchComps(skelComps, patComps, comps1, comps2, bbox1, bbox2, nest, halfHeight, ampl, offs):
|
||||||
|
res = []
|
||||||
|
repCounter = 0
|
||||||
|
|
||||||
|
if nest:
|
||||||
|
|
||||||
|
newPt = None
|
||||||
|
centroid = getPolygonCentroid(comps1)
|
||||||
|
|
||||||
|
for pt in patComps:
|
||||||
|
skelPt = getIntersectionPt(centroid, pt, skelComps)
|
||||||
|
pt1 = getIntersectionPt(centroid, pt, comps1)
|
||||||
|
pt2 = getIntersectionPt(centroid, pt, comps2)
|
||||||
|
midPt = getMidPoint(pt1, pt2)
|
||||||
|
|
||||||
|
dist1 = inkex.bezier.pointdistance(skelPt, pt)
|
||||||
|
dist2 = inkex.bezier.pointdistance(midPt, pt1) * ampl
|
||||||
|
dist3 = dist2 * dist1 / halfHeight
|
||||||
|
|
||||||
|
if (skelPt[0] >= centroid[0] and skelPt[1] >= centroid[1]):
|
||||||
|
if (pt[0] >= skelPt[0] and pt[1] >= skelPt[1]):
|
||||||
|
newPt = getPtOnSeg(midPt, pt2, inkex.bezier.pointdistance(midPt, pt2), dist3 + offs)
|
||||||
|
else:
|
||||||
|
newPt = getPtOnSeg(midPt, pt1, inkex.bezier.pointdistance(midPt, pt1), dist3 - offs)
|
||||||
|
elif (skelPt[0] <= centroid[0] and skelPt[1] <= centroid[1]):
|
||||||
|
if (pt[0] <= skelPt[0] and pt[1] <= skelPt[1]):
|
||||||
|
newPt = getPtOnSeg(midPt, pt2, inkex.bezier.pointdistance(midPt, pt2), dist3 + offs)
|
||||||
|
else:
|
||||||
|
newPt = getPtOnSeg(midPt, pt1, inkex.bezier.pointdistance(midPt, pt1), dist3 - offs)
|
||||||
|
elif (skelPt[0] < centroid[0] and skelPt[1] > centroid[1]):
|
||||||
|
if (pt[0] <= skelPt[0] and pt[1] >= skelPt[1]):
|
||||||
|
newPt = getPtOnSeg(midPt, pt2, inkex.bezier.pointdistance(midPt, pt2), dist3 + offs)
|
||||||
|
else:
|
||||||
|
newPt = getPtOnSeg(midPt, pt1, inkex.bezier.pointdistance(midPt, pt1), dist3 - offs)
|
||||||
|
else:
|
||||||
|
if (pt[0] >= skelPt[0] and pt[1] <= skelPt[1]):
|
||||||
|
newPt = getPtOnSeg(midPt, pt2, inkex.bezier.pointdistance(midPt, pt2), dist3 + offs)
|
||||||
|
else:
|
||||||
|
newPt = getPtOnSeg(midPt, pt1, inkex.bezier.pointdistance(midPt, pt1), dist3 - offs)
|
||||||
|
|
||||||
|
res.append(newPt)
|
||||||
|
|
||||||
|
elif (bbox1.left == bbox2.left and bbox1.right == bbox2.right):
|
||||||
|
midY = skelComps[0][1]
|
||||||
|
newPt = None
|
||||||
|
|
||||||
|
if (patComps[-1][0] != comps1[-1][0] and round(patComps[-1][0], 10) == comps1[-1][0]):
|
||||||
|
patComps[-1][0] = comps1[-1][0]
|
||||||
|
|
||||||
|
for pt in patComps:
|
||||||
|
pt1 = getPtsByX(pt, comps1, False)
|
||||||
|
pt2 = getPtsByX(pt, comps2, False)
|
||||||
|
midPt = getMidPoint(pt1, pt2)
|
||||||
|
|
||||||
|
dist1 = abs(pt[1] - midY)
|
||||||
|
dist2 = inkex.bezier.pointdistance(midPt, pt1) * ampl
|
||||||
|
dist3 = dist2 * dist1 / halfHeight
|
||||||
|
|
||||||
|
if bbox1.left < bbox1.right:
|
||||||
|
if pt[1] > midY:
|
||||||
|
newPt = getPtOnSeg(midPt, pt1, inkex.bezier.pointdistance(midPt, pt1), dist3 - offs)
|
||||||
|
else:
|
||||||
|
newPt = getPtOnSeg(midPt, pt2, inkex.bezier.pointdistance(midPt, pt2), dist3 + offs)
|
||||||
|
else:
|
||||||
|
if pt[1] < midY:
|
||||||
|
newPt = getPtOnSeg(midPt, pt1, bezmisc.pointdistance(midPt, pt1), dist3 - offs)
|
||||||
|
else:
|
||||||
|
newPt = getPtOnSeg(midPt, pt2, inkex.bezier.pointdistance(midPt, pt2), dist3 + offs)
|
||||||
|
|
||||||
|
res.append(newPt)
|
||||||
|
|
||||||
|
elif (bbox1.top == bbox2.top and bbox1.bottom == bbox2.bottom):
|
||||||
|
|
||||||
|
midX = skelComps[0][0]
|
||||||
|
newPt = None
|
||||||
|
|
||||||
|
if (patComps[-1][1] != comps1[-1][1] and round(patComps[-1][1], 10) == comps1[-1][1]):
|
||||||
|
patComps[-1][1] = comps1[-1][1]
|
||||||
|
|
||||||
|
for pt in patComps:
|
||||||
|
pt1 = getPtsByY(pt, comps1, False)
|
||||||
|
pt2 = getPtsByY(pt, comps2, False)
|
||||||
|
midPt = getMidPoint(pt1, pt2)
|
||||||
|
|
||||||
|
dist1 = abs(pt[0] - midX)
|
||||||
|
dist2 = inkex.bezier.pointdistance(midPt, pt1) * ampl
|
||||||
|
dist3 = dist2 * dist1 / halfHeight
|
||||||
|
|
||||||
|
if bbox1[2] < bbox1[3]:
|
||||||
|
if pt[0] < midX:
|
||||||
|
newPt = getPtOnSeg(midPt, pt1, inkex.bezier.pointdistance(midPt, pt1), dist3 - offs)
|
||||||
|
else:
|
||||||
|
newPt = getPtOnSeg(midPt, pt2, inkex.bezier.pointdistance(midPt, pt2), dist3 + offs)
|
||||||
|
else:
|
||||||
|
if pt[1] > midX:
|
||||||
|
newPt = getPtOnSeg(midPt, pt1, inkex.bezier.pointdistance(midPt, pt1), dist3 - offs)
|
||||||
|
else:
|
||||||
|
newPt = getPtOnSeg(midPt, pt2, inkex.bezier.pointdistance(midPt, pt2), dist3 + offs)
|
||||||
|
|
||||||
|
res.append(newPt)
|
||||||
|
|
||||||
|
return res
|
||||||
|
|
||||||
|
def stretch(pathComp, xscale, yscale, org):
|
||||||
|
for ctl in pathComp:
|
||||||
|
for pt in ctl:
|
||||||
|
pt[0] = org[0] + (pt[0] - org[0]) * xscale
|
||||||
|
pt[1] = org[1] + (pt[1] - org[1]) * yscale
|
||||||
|
|
||||||
|
class GuillochePattern(pathmodifier.PathModifier):
|
||||||
|
def add_arguments(self, pars):
|
||||||
|
pars.add_argument("--tab")
|
||||||
|
pars.add_argument("--patternFunction", default="sin", help="Function of the pattern")
|
||||||
|
pars.add_argument("--frequency", type=int, default=10, help="Frequency of the function")
|
||||||
|
pars.add_argument("--amplitude", type=int, default=100, help="Amplitude of the function")
|
||||||
|
pars.add_argument("--phaseOffset", type=int, default=0, help="Phase offset of the function")
|
||||||
|
pars.add_argument("--offset", type=int, default=0, help="Offset of the function")
|
||||||
|
pars.add_argument("--phaseCoverage", type=int, default=100, help="Phase coverage of the function")
|
||||||
|
pars.add_argument("--series", type=int, default=1, help="Series of the function")
|
||||||
|
pars.add_argument("--nodes", type=int, default=20, help="Count of nodes")
|
||||||
|
pars.add_argument("--remove", type=inkex.Boolean, default=False, help="If True, control objects will be removed")
|
||||||
|
pars.add_argument("--strokeColor", type=inkex.Color, default=000, help="The line's color")
|
||||||
|
pars.add_argument("--amplitude1", type=float, default=0.0, help="Amplitude of first harmonic")
|
||||||
|
pars.add_argument("--phase1", type=int, default=0, help="Phase offset of first harmonic")
|
||||||
|
pars.add_argument("--amplitude2", type=float, default=0.0, help="Amplitude of second harmonic")
|
||||||
|
pars.add_argument("--phase2", type=int, default=0, help="Phase offset of second harmonic")
|
||||||
|
pars.add_argument("--amplitude3", type=float, default=0.0, help="Amplitude of third harmonic")
|
||||||
|
pars.add_argument("--phase3", type=int, default=0, help="Phase offset of third harmonic")
|
||||||
|
pars.add_argument("--amplitude4", type=float, default=0.0, help="Amplitude of fourth harmonic")
|
||||||
|
pars.add_argument("--phase4", type=int, default=0, help="Phase offset of fourth harmonic")
|
||||||
|
pars.add_argument("--amplitude5", type=float, default=0.0, help="Amplitude of fifth harmonic")
|
||||||
|
pars.add_argument("--phase5", type=int, default=0, help="Phase offset of fifth harmonic")
|
||||||
|
|
||||||
|
def prepareSelectionList(self):
|
||||||
|
self.envelopes = self.svg.selected
|
||||||
|
pathmodifier.PathModifier.expand_clones(self, self.envelopes, True, False)
|
||||||
|
pathmodifier.PathModifier.objects_to_paths(self, self.envelopes, True)
|
||||||
|
|
||||||
|
def getFunction(self, func, funcOffs):
|
||||||
|
res = ''
|
||||||
|
|
||||||
|
presetAmp1 = presetAmp2 = presetAmp3 = presetAmp4 = presetAmp5 = 0.0
|
||||||
|
presetPhOf1 = presetPhOf2 = presetPhOf3 = presetPhOf4 = presetPhOf5 = presetOffs = 0
|
||||||
|
funcOffs *= self.options.phaseCoverage / 100.0
|
||||||
|
|
||||||
|
if (func == 'sin' or func == 'cos'):
|
||||||
|
return func + '(x + (' + str((self.options.phaseOffset + funcOffs) / 100.0 * 2 * pi) + '))'
|
||||||
|
|
||||||
|
if func == 'env1':
|
||||||
|
presetAmp1 = presetAmp3 = 0.495
|
||||||
|
elif func == 'env2':
|
||||||
|
presetAmp1 = presetAmp3 = 0.65
|
||||||
|
presetPhOf1 = presetPhOf3 = 25
|
||||||
|
elif func == 'env3':
|
||||||
|
presetAmp1 = 0.75
|
||||||
|
presetPhOf1 = 25
|
||||||
|
presetAmp3 = 0.24
|
||||||
|
presetPhOf3 = -25
|
||||||
|
elif func == 'env4':
|
||||||
|
presetAmp1 = 1.105
|
||||||
|
presetAmp3 = 0.27625
|
||||||
|
presetPhOf3 = 50
|
||||||
|
elif func == 'env5':
|
||||||
|
presetAmp1 = 0.37464375
|
||||||
|
presetPhOf1 = 25
|
||||||
|
presetAmp2 = 0.5655
|
||||||
|
presetAmp3 = 0.37464375
|
||||||
|
presetPhOf3 = -25
|
||||||
|
elif func == 'env6':
|
||||||
|
presetAmp1 = 0.413725
|
||||||
|
presetPhOf1 = 25
|
||||||
|
presetAmp2 = 0.45695
|
||||||
|
presetPhOf2 = 50
|
||||||
|
presetAmp3 = 0.494
|
||||||
|
presetPhOf3 = -25
|
||||||
|
elif func == 'env7':
|
||||||
|
presetAmp1 = 0.624
|
||||||
|
presetPhOf1 = 25
|
||||||
|
presetAmp2 = 0.312
|
||||||
|
presetAmp3 = 0.624
|
||||||
|
presetPhOf3 = 25
|
||||||
|
elif func == 'env8':
|
||||||
|
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(presetAmp1 + self.options.amplitude1) + ') * cos(1 * (x + (' + str((self.options.phaseOffset + funcOffs) / 100.0 * 2 * pi) + ')) - (' + str((presetPhOf1 + self.options.phase1) / 100.0 * 2 * pi) + '))'
|
||||||
|
harm2 = '(' + str(presetAmp2 + self.options.amplitude2) + ') * cos(2 * (x + (' + str((self.options.phaseOffset + funcOffs) / 100.0 * 2 * pi) + ')) - (' + str((presetPhOf2 + self.options.phase2) / 100.0 * 2 * pi) + '))'
|
||||||
|
harm3 = '(' + str(presetAmp3 + self.options.amplitude3) + ') * cos(3 * (x + (' + str((self.options.phaseOffset + funcOffs) / 100.0 * 2 * pi) + ')) - (' + str((presetPhOf3 + self.options.phase3) / 100.0 * 2 * pi) + '))'
|
||||||
|
harm4 = '(' + str(presetAmp4 + self.options.amplitude4) + ') * cos(4 * (x + (' + str((self.options.phaseOffset + funcOffs) / 100.0 * 2 * pi) + ')) - (' + str((presetPhOf4 + self.options.phase4) / 100.0 * 2 * pi) + '))'
|
||||||
|
harm5 = '(' + str(presetAmp5 + self.options.amplitude5) + ') * cos(5 * (x + (' + str((self.options.phaseOffset + funcOffs) / 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 = inkex.bezier.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 = inkex.bezier.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) != 2:
|
||||||
|
inkex.errormsg(_("This extension requires two selected paths."))
|
||||||
|
return
|
||||||
|
|
||||||
|
self.prepareSelectionList()
|
||||||
|
envs = list(self.envelopes.values())
|
||||||
|
|
||||||
|
s = envs[0].get('style')
|
||||||
|
parent = envs[0].getparent()
|
||||||
|
|
||||||
|
# Get any path transform for the contour output
|
||||||
|
xfm = envs[0].get('transform')
|
||||||
|
|
||||||
|
fstEnvComps, fstEnvLengths, sndEnvComps, sndEnvLengths, fstEnvBbox, sndEnvBbox, isCorrect = linearizeEnvelopes(envs)
|
||||||
|
|
||||||
|
if not isCorrect:
|
||||||
|
inkex.errormsg(_("Selected paths are not compatible."))
|
||||||
|
return
|
||||||
|
|
||||||
|
areNested = isSkeletonClosed(fstEnvComps) and isSkeletonClosed(sndEnvComps)
|
||||||
|
|
||||||
|
self.skelComp = None
|
||||||
|
self.lengths = None
|
||||||
|
|
||||||
|
countOfSkelPaths = 1
|
||||||
|
distBetweenFirstPts = 1
|
||||||
|
funcSeries = self.options.series
|
||||||
|
|
||||||
|
isLine = True if self.options.patternFunction == 'line' else False
|
||||||
|
|
||||||
|
if (isLine and self.options.offset > 0):
|
||||||
|
distBetweenFirstPts = getDistBetweenFirstPts(fstEnvComps, sndEnvComps, fstEnvBbox, sndEnvBbox, areNested)
|
||||||
|
countOfSkelPaths = int(distBetweenFirstPts / self.options.offset)
|
||||||
|
funcSeries = 1
|
||||||
|
|
||||||
|
for cnt in range(0, countOfSkelPaths):
|
||||||
|
curOffset = (cnt + 1) * self.options.offset / distBetweenFirstPts
|
||||||
|
|
||||||
|
if areNested:
|
||||||
|
self.skelComp, self.lengths = getClosedLinearizedSkeletonPath(fstEnvComps, sndEnvComps, curOffset, isLine)
|
||||||
|
elif (fstEnvBbox.left == sndEnvBbox.left and fstEnvBbox.right == sndEnvBbox.right):
|
||||||
|
self.skelComp, self.lengths = getHorizontalLinearizedSkeletonPath(fstEnvComps, sndEnvComps, curOffset, isLine)
|
||||||
|
elif (fstEnvBbox.top == sndEnvBbox.top and fstEnvBbox.bottom == sndEnvBbox.bottom):
|
||||||
|
self.skelComp, self.lengths = getVerticalLinearizedSkeletonPath(fstEnvComps, sndEnvComps, curOffset, isLine)
|
||||||
|
|
||||||
|
self.skelCompIsClosed = isSkeletonClosed(self.skelComp)
|
||||||
|
length = sum(self.lengths)
|
||||||
|
patternWidth = length / self.options.frequency
|
||||||
|
funcOffsetStep = 100 / funcSeries
|
||||||
|
|
||||||
|
resPath = ''
|
||||||
|
|
||||||
|
|
||||||
|
pattern = etree.Element(inkex.addNS('path','svg'))
|
||||||
|
|
||||||
|
self.options.strokeHexColor, self.strokeOpacity = getColorAndOpacity(self.options.strokeColor)
|
||||||
|
|
||||||
|
if s:
|
||||||
|
pattern.set('style', setColorAndOpacity(s, self.options.strokeHexColor, self.strokeOpacity))
|
||||||
|
|
||||||
|
if xfm:
|
||||||
|
pattern.set('transform', xfm)
|
||||||
|
|
||||||
|
for j in range(funcSeries):
|
||||||
|
selectedFunction = self.getFunction(self.options.patternFunction, j * funcOffsetStep)
|
||||||
|
|
||||||
|
pattern.set('d', str(paths.Path(drawfunction(self.options.nodes, patternWidth, selectedFunction))))
|
||||||
|
|
||||||
|
# Add path into SVG structure
|
||||||
|
parent.append(pattern)
|
||||||
|
|
||||||
|
patternCubicPath = paths.CubicSuperPath(paths.Path(pattern.get('d')))
|
||||||
|
patternPath = inkex.paths.Path(patternCubicPath)
|
||||||
|
|
||||||
|
# Compute bounding box
|
||||||
|
bbox = patternPath.bounding_box()
|
||||||
|
|
||||||
|
width = bbox.maximum[0] - bbox.minimum[0]
|
||||||
|
height = bbox.maximum[1] - bbox.minimum[1]
|
||||||
|
|
||||||
|
dx = width
|
||||||
|
|
||||||
|
if dx < 0.01:
|
||||||
|
exit(_("The total length of the pattern is too small."))
|
||||||
|
|
||||||
|
curPath = deepcopy(patternCubicPath)
|
||||||
|
|
||||||
|
xoffset = self.skelComp[0][0] - bbox.minimum[0]
|
||||||
|
yoffset = self.skelComp[0][1] - (bbox.maximum[1] + bbox.minimum[1]) / 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)
|
||||||
|
|
||||||
|
# Offset pattern to the first node of the skeleton
|
||||||
|
for subPath in newPath:
|
||||||
|
offset(subPath, xoffset, yoffset)
|
||||||
|
|
||||||
|
curPath = deepcopy(newPath)
|
||||||
|
|
||||||
|
# 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])
|
||||||
|
|
||||||
|
curPathComps, curPathLengths = linearize(modifySkeletonPath(curPath))
|
||||||
|
|
||||||
|
if not isLine:
|
||||||
|
curPathComps = stretchComps(self.skelComp, curPathComps, fstEnvComps, sndEnvComps, fstEnvBbox, sndEnvBbox, areNested, height / 2, self.options.amplitude / 100.0, self.options.offset)
|
||||||
|
|
||||||
|
resPath += compsToSVGd(curPathComps)
|
||||||
|
|
||||||
|
pattern.set('d', resPath)
|
||||||
|
|
||||||
|
if self.options.remove:
|
||||||
|
parent.remove(envs[0])
|
||||||
|
parent.remove(envs[1])
|
||||||
|
|
||||||
|
if __name__ == '__main__':
|
||||||
|
GuillochePattern().run()
|
||||||
Reference in New Issue
Block a user