820 lines
32 KiB
Python
820 lines
32 KiB
Python
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#!/usr/bin/env python3
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#
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# sewing_patterns.py
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# Inkscape extension-Effects-Sewing Patterns
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# Copyright (C) 2010, 2011, 2012 Susan Spencer, Steve Conklin < www.taumeta.org >
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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. Attribution must be given in
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# all derived works.
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#
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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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#
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# You should have received a copy of the GNU General Public License
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# along with this program. If not, see < http://www.gnu.org/licenses/ >
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import subprocess, math, inkex, gettext
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from lxml import etree
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def debug(errmsg, file = 'bell'):
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#audio files directory: /usr/share/sounds/ubuntu/stereo
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sounds(file)
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inkex.errormsg(gettext.gettext(errmsg))
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def sounds(file):
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subprocess.call(['/usr/bin/canberra-gtk-play', '--id', file ])
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#---
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class Point():
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'''Python object class to create variables that represent a named Cartesian point.
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Accepts id, x, y. Returns object with .id, .x, .y attributes.
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Example: a5 = Point('a5', 10.0, 15.32) returns variable a5 where a5.id = 'a5', a5.x = 10.0, a5.y = 15.32xt
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If called with no parameters the defaults are id = '', x = 0, y = 0
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The python object's id attribute enables it to be represented on the canvas as an svg object with the same id.
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'''
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def __init__(self, id = '', x = 0.0, y = 0.0): #if no parameters are passed in then the default values id = '', x = 0, y = 0 are used
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self.id = id
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self.x = x
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self.y = y
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self.y = y
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def patternPointXY(parent, id, x, y):
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'''Accepts parent, id, x, y. Returns object of class Point. Calls addPoint() & addText() to create a pattern point on canvas.'''
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# create python variable
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pnt = Point(id, x, y)
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# create svg circle red 5px radius
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addCircle(parent, id, x, y, radius = 5, fill = 'red', stroke = 'red', stroke_width = '1', reference = 'true')
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#draw label 8px right and 8px above circle
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addText(parent, id + '_text', x + 8, y-8, id, fontsize = '30', textalign = 'left', textanchor = 'left', reference = 'true') #the id is used for two things here: the text object's id and the text object's content.
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return pnt # return python variable for use in remainder of pattern
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def patternPoint(parent, id, pnt):
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"""Wrapper for patternPointXY. Accepts a Point object instead of X & Y values."""
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return patternPointXY(parent, id, pnt.x, pnt.y)
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def controlPointXY(parent, id, x, y):
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'''Accepts parent, id, x, y. Returns object of class Point. Calls addPoint() & addText() to create a pattern point with label on canvas.'''
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# create python variable
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pnt = Point(id, x, y)
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# create unfilled grey circle 5px radius
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addCircle(parent, id, x, y, radius = 5, fill = 'none', stroke = 'gray', stroke_width = '1', reference = 'true')
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#draw label 8px right and 8px above circle
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addText(parent, id + '_text', x + 8, y-8, id, fontsize = '30', textalign = 'left', textanchor = 'left', reference = 'true') #the id is used twice: the text object id and the text object content.
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return pnt # return python variable for use in remainder of pattern
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def controlPoint(parent, id, pnt):
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"""Wrapper for controlPointXY. Accepts a Point object instead of X & Y values."""
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return controlPointXY(parent, id, pnt.x, pnt.y)
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def pointList( * args):
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"""Accepts list of args. Returns array of args."""
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list = []
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for arg in args:
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list.append(arg)
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return list
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#---tests for position---
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def isRight(pnt1, pnt2):
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'''returns 1 if pnt2 is to the right of pnt1'''
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right = 0
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if pnt2.x > pnt1.x:
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right = 1
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return right
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def isLeft(pnt1, pnt2):
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'''returns 1 if pnt2 is to the left of pnt1'''
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left = 0
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if pnt2.x < pnt1.x:
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left = 1
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return left
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def isAbove(pnt1, pnt2):
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'''returns 1 if pnt2 is above pnt1'''
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up = 0
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if pnt2.y < pnt1.y:
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up = 1
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return up
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def isBelow(pnt1, pnt2):
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'''returns 1 if pnt2 is below pnt1'''
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down = 0
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if pnt2.y > pnt1.y:
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down = 1
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return down
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def lowest(pnts):
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"""Accepts array pnts[]. Returns lowest point in array."""
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low = Point('', pnts[0].x, pnts[0].y)
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for item in pnts:
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if isBelow(low, item): #if item is below current low
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updatePoint('', low, item)
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return low
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def highest(pnts):
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"""Accepts array pnts[]. Returns highest point in array."""
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high = Point('', pnts[0].x, pnts[0].y)
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for item in pnts:
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if isAbove(high, item): #if item is above current high
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updatePoint(high, item)
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return high
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def leftmost(pnts):
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"""Accepts array pnts[]. Returns leftmost point in array."""
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left = Point('', pnts[0].x, pnts[0].y)
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for item in pnts:
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if isLeft(left, item):
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updatePoint(left, item)
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return left
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def rightmost(pnts):
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"""Accepts array pnts[]. Returns rightmost point in array."""
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right = Point('', pnts[0].x, pnts[0].y)
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for item in pnts:
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if isRight(right, item):
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updatePoint(right, item)
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return right
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#---functions to calculate points. These functions do not create SVG objects---
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def updatePoint(p1, p2):
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'''Accepts p1 and p2 of class Point. Updates p1 with x & y values from p2'''
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p1.x = p2.x
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p1.y = p2.y
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return
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def right(p1, n):
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'''Accepts point p1 and float n. Returns (x,y) to the right of p1 at (p1.x + n, p1.y)'''
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return Point('', p1.x + n, p1.y)
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def left(p1, n):
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'''Accepts point p1 and float n. Returns p2 to the left of p1 at (p1.x-n, p1.y)'''
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return Point('', p1.x-n, p1.y)
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def up(p1, n):
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'''Accepts point p1 and float n. Returns p2 above p1 at (p1.x, p1.y-n)'''
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return Point('', p1.x, p1.y-n)
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def down(p1, n):
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'''Accepts point p1 and float n. Returns p2 below p1 at (p1.x, p1.y + n)'''
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return Point('', p1.x, p1.y + n)
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def symmetric(p1, p2, type = 'vertical'):
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"""
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Accepts p1 and p2 of class Point, and optional type is either 'vertical' or 'horizontal with default 'vertical'.
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Returns p3 of class Point as "mirror image" of p1 relative to p2
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If type == 'vertical': pnt is on opposite side of vertical line x = p2.x from p1
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If type == 'horizontal': pnt is on opposite side of horizontal line y = p2.y from p1
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"""
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p3 = Point()
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dx = p2.x - p1.x
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dy = p2.y - p1.y
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if (type == 'vertical'):
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p3.x = p2.x + dx
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p3.y = p1.y
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elif (type == 'horizontal'):
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p3.x = p1.x
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p3.y = p2.y + dy
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return p3
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def polar(p1, length, angle):
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'''
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Adapted from http://www.teacherschoice.com.au/maths_library/coordinates/polar_-_rectangular_conversion.htm
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Accepts p1 as type Point, length as float, angle as float. angle is in radians
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Returns p2 as type Point, calculated at length and angle from p1,
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Angles start at position 3:00 and move clockwise due to y increasing downwards on Cairo Canvas
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'''
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id = ''
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r = length
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x = p1.x + (r * math.cos(angle))
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y = p1.y + (r * math.sin(angle))
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p2 = Point(id, x, y)
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return p2
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def midPoint(p1, p2, n = 0.5):
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'''Accepts points p1 & p2, and n where 0 < n < 1. Returns point p3 as midpoint b/w p1 & p2'''
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p3 = Point('', (p1.x + p2.x) * n, (p1.y + p2.y) * n)
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return p3
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#---measurements
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def distance(p1, p2):
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'''Accepts two points p1 & p2. Returns the distance between p1 & p2.'''
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return ( ((p2.x-p1.x) ** 2) + ((p2.y-p1.y) ** 2) ) ** 0.5
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def angleOfDegree(degree):
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'''Accepts degree. Returns radians.'''
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return degree * math.pi/180.0
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def angleOfLine(p1, p2):
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""" Accepts points p1 & p2. Returns the angle of the vector between them. Uses atan2."""
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return math.atan2(p2.y-p1.y, p2.x-p1.x)
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def angleOfVector(p1, v, p2):
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'''Accepts three points o1, v, and p2. Returns radians of the angle formed between the three points.'''
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return abs(angleOfLine(v, p1)-angleOfLine(v, p2))
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def slopeOfLine(p1, p2):
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""" Accepts two point objects and returns the slope """
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if ((p2.x-p1.x) != 0):
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m = (p2.y-p1.y)/(p2.x-p1.x)
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else:
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#TODO: better error handling here
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debug('Vertical Line in slopeOfLine')
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m = None
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return m
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def slopeOfAngle(radians):
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'''
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Accepts angle (radians)
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Returns the slope as tangent radians
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'''
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#get tangent of radians
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return math.tan(radians)
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#---intersections & extensions
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def extendLine(p1, p2, length, rotation=0):
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"""
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Accepts two directed points of a line, and a length to extend the line
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Finds point along line at length from p2 in direction p1->p2
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"""
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return onLineAtLength(p2, p1, -length)
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def onLineAtLength(p1, p2, length, rotation=0):
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"""
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Accepts points p1 and p2, distance, and an optional rotation angle.
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Returns coordinate pair on the line at length measured from p1 towards p2
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If length is negative, will return a coordinate pair at length measured
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from p1 in opposite direction from p2.
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The result is optionally rotated about the first point by the rotation angle in degrees
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"""
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lineangle = angleOfLine(p1, p2)
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angle = lineangle + rotation * (math.pi/180)
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x = (length * math.cos(angle)) + p1.x
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y = (length * math.sin(angle)) + p1.y
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return Point('', x, y)
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def onLineAtX(p1, p2, x):
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#on line p1-p2, given x find y
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if (p1.x == p2.x):# vertical line
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raise ValueError('Points form a vertical line, infinite answers possible')
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return None
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else:
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m = (p2.y - p1.y)/(p2.x - p1.x)
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b = p2.y - (m * p2.x)
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return Point('', x, (m * x) + b)
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def onLineAtY(p1, p2, y):
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#on line p1-p2, find x given y
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if (p1.y == p2.y): #if horizontal line
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raise ValueError('Points form a horizontal line, infinite answers possible')
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return None
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elif (p1.x == p2.x): # if vertical line
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return Point('', p1.x, y)
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else:
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m = (p1.y - p2.y)/(p1.x - p2.x)
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b = p2.y - (m * p2.x)
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return Point('', (y - b)/m, y)
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def intersectLines(p1, p2, p3, p4):
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"""
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Find intersection between two lines. Accepts p1, p2, p3, p4 as class Point. Returns p5 as class Point
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Intersection does not have to be within the supplied line segments
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"""
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x, y = 0.0, 0.0
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if (p1.x == p2.x): #if 1st line vertical, use slope of 2nd line
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x = p1.x
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m2 = slopeOfLine(p3, p4)
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b2 = p3.y-m2 * p3.x
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y = m2 * x + b2
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elif (p3.x == p4.x): #if 2nd line vertical, use slope of 1st line
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x = p3.x
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m1 = slopeOfLine(p1, p2)
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b1 = p1.y-m1 * p1.x
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y = m1 * x + b1
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else: #otherwise use ratio of difference between points
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m1 = (p2.y-p1.y)/(p2.x-p1.x)
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m2 = (p4.y-p3.y)/(p4.x-p3.x)
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b1 = p1.y-m1 * p1.x
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b2 = p3.y-m2 * p3.x
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#if (abs(b1-b2) < 0.01) and (m1 == m2):
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#x = p1.x
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#else:
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#x = (b2-b1)/(m1-m2)
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if (m1 == m2):
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#TODO: better error handling here
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debug(' ** ** * Parallel lines in intersectLines ** ** * ')
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else:
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x = (b2-b1)/(m1-m2)
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y = (m1 * x) + b1 # arbitrary choice, could have used m2 & b2
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p5 = Point("", x, y)
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return p5
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def intersectLineRay(P1, P2, R1, angle):
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'''
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Accepts two points defining a line, and a point and angle defining a ray.
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Returns point where they intersect.
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'''
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#define a line R1-R2 by finding point R2 along ray 25 pixels (arbitary) from R1
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R2 = polar(R1, 1 * 25, angle)
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pnt = intersectLines(P1, P2, R1, R2)
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return pnt
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def onRayAtX(P, angle, x):
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'''
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Accepts point P and angle of line.
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Returns point along ray at x
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'''
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||
|
|
#convert degrees to slope
|
||
|
|
m = slopeOfAngle(angle)
|
||
|
|
#solve for y
|
||
|
|
#(P.y - y)/(P.x - x) = m
|
||
|
|
y = P.y - m * (P.x - x)
|
||
|
|
return Point('', x, y)
|
||
|
|
|
||
|
|
def onRayAtY(P, angle, y):
|
||
|
|
'''
|
||
|
|
Accepts point P and angle of line.
|
||
|
|
Returns point along ray at y
|
||
|
|
'''
|
||
|
|
#convert degrees to slope
|
||
|
|
m = slopeOfAngle(angle)
|
||
|
|
#solve for x
|
||
|
|
#(P.y - y)/(P.x - x) = m
|
||
|
|
x = P.x - (P.y - y)/m
|
||
|
|
return Point('', x, y)
|
||
|
|
|
||
|
|
def intersectCircles(C1, r1, C2, r2):
|
||
|
|
"""
|
||
|
|
Accepts C1, r1, C2, r2 where C1 & C2 are center points of each circle, and r1 & r2 are the radius of each circle.
|
||
|
|
Returns an array of points of intersection.
|
||
|
|
"""
|
||
|
|
x0, y0 = C1.x, C1.y
|
||
|
|
x1, y1 = C2.x, C2.y
|
||
|
|
d = distance(C1, C2) # distance b/w circle centers
|
||
|
|
dx, dy = (x1-x0), (y1-y0) # negate y b/c canvas increases top to bottom
|
||
|
|
pnts = []
|
||
|
|
if (d == 0):
|
||
|
|
#intersections = 0
|
||
|
|
#TODO: better error handling here
|
||
|
|
debug('center of both circles are the same in intersectCircles()')
|
||
|
|
debug('C1 = ', C1.x, C1.y, 'radius1 = ', r1)
|
||
|
|
debug('C2 = ', C2.x, C2.y, 'radius1 = ', r2)
|
||
|
|
return
|
||
|
|
elif (d < abs(r1-r2)):
|
||
|
|
#intersections = 0
|
||
|
|
#TODO: better error handling here
|
||
|
|
debug('one circle is within the other in intersectCircles()')
|
||
|
|
debug('d = ', d)
|
||
|
|
debug('r1 - r2 = ', (r1-r2))
|
||
|
|
debug('d < abs(r1 - r2) ?', (d < abs(r1-r2)))
|
||
|
|
debug('C1 = ', C1.x, C1.y, 'radius1 = ', r1)
|
||
|
|
debug('C2 = ', C2.x, C2.y, 'radius1 = ', r2)
|
||
|
|
return
|
||
|
|
elif (d > (r1 + r2)):
|
||
|
|
#intersections = 0
|
||
|
|
#TODO: better error handling here
|
||
|
|
debug('circles do not intersect in intersectCircles()')
|
||
|
|
debug('d = ', d)
|
||
|
|
debug('r1 + r2 = ', (r1 + r2))
|
||
|
|
debug('d > abs(r1 + r2) ?', (d > abs(r1 + r2)))
|
||
|
|
debug('C1 = ', C1.x, C1.y, 'radius1 = ', r1)
|
||
|
|
debug('C2 = ', C2.x, C2.y, 'radius1 = ', r2)
|
||
|
|
# TODO:possible kluge -check if this is acceptable using a small margin of error between r1 & r2 (0.5 * CM)?:
|
||
|
|
#r2 = d-r1
|
||
|
|
return
|
||
|
|
else:
|
||
|
|
#intersections = 2 or intersections = 1
|
||
|
|
a = ((r1 * r1)-(r2 * r2) + (d * d))/(2.0 * d)
|
||
|
|
x2 = x0 + (dx * a/d)
|
||
|
|
y2 = y0 + (dy * a/d)
|
||
|
|
h = math.sqrt((r1 * r1)-(a * a))
|
||
|
|
rx = -dy * (h/d)
|
||
|
|
ry = dx * (h/d)
|
||
|
|
X1 = x2 + rx
|
||
|
|
Y1 = y2 + ry
|
||
|
|
X2 = x2-rx
|
||
|
|
Y2 = y2-ry
|
||
|
|
pnts.append(Point("", X1, Y1))
|
||
|
|
pnts.append(Point("", X2, Y2))
|
||
|
|
return pnts
|
||
|
|
|
||
|
|
def onCircleAtX(C, r, x):
|
||
|
|
"""
|
||
|
|
Finds points on circle where p.x=x
|
||
|
|
Accepts C as an object of class Point or xy coords for the center of the circle,
|
||
|
|
r as the radius, and x to find the points on the circle
|
||
|
|
Returns an array P
|
||
|
|
Based on paulbourke.net/geometry/sphereline/sphere_line_intersection.py
|
||
|
|
"""
|
||
|
|
#print 'C =', C.x, C.y
|
||
|
|
#print 'r =', r
|
||
|
|
#print 'x =', x
|
||
|
|
P = []
|
||
|
|
if abs(x - C.x) > r:
|
||
|
|
print('abs(x - C.x) > r ...', abs(x - C.x), ' > ', r)
|
||
|
|
print('x is outside radius of circle in intersections.onCircleAtX()')
|
||
|
|
else:
|
||
|
|
translated_x = x - C.x # center of translated circle is (0, 0) as translated_x is the difference b/w C.x & x
|
||
|
|
translated_y1 = abs(math.sqrt(r**2 - translated_x**2))
|
||
|
|
translated_y2 = -(translated_y1)
|
||
|
|
y1 = translated_y1 + C.y # translate back to C.y
|
||
|
|
y2 = translated_y2 + C.y # translate back to C.y
|
||
|
|
P.append(Point('', x, y1))
|
||
|
|
P.append(Point('', x, y2))
|
||
|
|
return P
|
||
|
|
|
||
|
|
def onCircleAtY(C, r, y):
|
||
|
|
"""
|
||
|
|
Finds points one or two points on circle where P.y=y
|
||
|
|
Accepts C of class Point or coords as circle center, r of type float as radius, and y of type float)
|
||
|
|
Returns an array P
|
||
|
|
Based on paulbourke.net/geometry/sphereline/sphere_line_intersection.py
|
||
|
|
"""
|
||
|
|
#print('C =', C.x, C.y)
|
||
|
|
#print('r =', r)
|
||
|
|
#print('x = ', y))
|
||
|
|
P = []
|
||
|
|
if abs(y - C.y) > r:
|
||
|
|
print('abs(y - C.y) > r ...', abs(y - C.y), ' > ', r)
|
||
|
|
print('y is outside radius in onCircleAtY() -- no intersection')
|
||
|
|
else:
|
||
|
|
translated_y = y - C.y
|
||
|
|
translated_x1 = abs(math.sqrt(r**2 - translated_y**2))
|
||
|
|
translated_x2 = -translated_x1
|
||
|
|
x1 = translated_x1 + C.x
|
||
|
|
x2 = translated_x2 + C.x
|
||
|
|
P.append(Point('', x1, y))
|
||
|
|
P.append(Point('', x2, y))
|
||
|
|
return P
|
||
|
|
|
||
|
|
def intersectLineCircle(P1, P2, C, r):
|
||
|
|
"""
|
||
|
|
Finds intersection of a line segment and a circle.
|
||
|
|
Accepts circle center point object C, radius r, and two line point objects P1 & P2
|
||
|
|
Returns an array P with up to two coordinate pairs as P.intersections P[0] & P[1]
|
||
|
|
Based on paulbourke.net/geometry/sphereline/sphere_line_intersection.py
|
||
|
|
"""
|
||
|
|
|
||
|
|
#print('C =', C.x, C.y)
|
||
|
|
#print('P1 =', P1.x, P1.y)
|
||
|
|
#print('P2 =', P2.x, P2.y)
|
||
|
|
#print('r =', r, 'pts', ', ', r / CM, 'cm')
|
||
|
|
|
||
|
|
p1, p2 = Point('', '', ''), Point('', '', '')
|
||
|
|
P = []
|
||
|
|
|
||
|
|
if P1.x == P2.x: #vertical line
|
||
|
|
if abs(P1.x - C.x) > r:
|
||
|
|
print('no intersections for vertical line P1', P1.name, P1.x, P1.y, ', P2', P2.name, P2.x, P2.y, ', and Circle', C.name, C.x, C.y, ', radius', r)
|
||
|
|
return None
|
||
|
|
else:
|
||
|
|
#print('Vertical line')
|
||
|
|
p1.x = P1.x
|
||
|
|
p2.x = P1.x
|
||
|
|
p1.y = C.y + sqrt(r**2 - (P1.x - C.x)**2)
|
||
|
|
p2.y = C.y - sqrt(r**2 - (P1.x - C.x)**2)
|
||
|
|
elif P1.y == P2.y: #horizontal line
|
||
|
|
if abs(P1.y-C.y) > r:
|
||
|
|
print('no intersections for horizontal line P1', P1.name, P1.x, P1.y, ', P2', P2.name, P2.x, P2.y, ', and Circle', C.name, C.x, C.y, ', radius', r)
|
||
|
|
return None
|
||
|
|
else:
|
||
|
|
#print('Horizontal line')
|
||
|
|
p1.y = P1.y
|
||
|
|
p2.y = P1.y
|
||
|
|
p1.x = C.x + sqrt(r**2 - (P1.y - C.y)**2)
|
||
|
|
p2.x = C.x - sqrt(r**2 - (P1.y - C.y)**2)
|
||
|
|
else:
|
||
|
|
a = (P2.x - P1.x)**2 + (P2.y - P1.y)**2
|
||
|
|
b = 2.0 * ((P2.x - P1.x) * (P1.x - C.x)) + ((P2.y - P1.y) * (P1.y - C.y))
|
||
|
|
c = C.x**2 + C.y**2 + P1.x**2 + P1.y**2 - (2.0 * (C.x * P1.x + C.y * P1.y)) - r**2
|
||
|
|
i = b**2 - 4.0 * a * c
|
||
|
|
if i < 0.0:
|
||
|
|
print('no intersections b/w line', P1.name, P1.x, P1.y, '--', P2.name, P2.x, P2.y, 'and Circle', C.name, C.x, C.y, 'with radius', r)
|
||
|
|
return None
|
||
|
|
elif i == 0.0:
|
||
|
|
# one intersection
|
||
|
|
#print('one intersection')
|
||
|
|
mu = -b/(2.0 * a)
|
||
|
|
p1.x, p1.y = P1.x + mu * (P2.x - P1.x), P1.y + mu * (P2.y - P1.y)
|
||
|
|
elif i > 0.0:
|
||
|
|
# two intersections
|
||
|
|
#print('two intersections')
|
||
|
|
# first intersection
|
||
|
|
mu1 = (-b + math.sqrt(i)) / (2.0*a)
|
||
|
|
p1.x, p1.y = P1.x + mu1 * (P2.x - P1.x), P1.y + mu1 * (P2.y - P1.y)
|
||
|
|
# second intersection
|
||
|
|
mu2 = (-b - math.sqrt(i)) / (2.0*a)
|
||
|
|
p2.x, p2.y = P1.x + mu2 * (P2.x - P1.x), P1.y + mu2 * (P2.y - P1.y)
|
||
|
|
P.append(p1)
|
||
|
|
P.append(p2)
|
||
|
|
return P
|
||
|
|
|
||
|
|
def intersectChordCircle(C, r, P, chord_length):
|
||
|
|
''' Accepts center of circle, radius of circle, a point on the circle, and chord length.
|
||
|
|
Returns an array of two points on the circle at chord_length distance away from original point'''
|
||
|
|
d = chord_length
|
||
|
|
# point on circle given chordlength & starting point = 2 * asin(d/2r)
|
||
|
|
d_div_2r = d/(2.0 * r)
|
||
|
|
angle = 2 * asin(d_div_2r)
|
||
|
|
pnts = []
|
||
|
|
pnts.append(polar(C, r, angle))
|
||
|
|
pnts.append(polar(C, r, - angle))
|
||
|
|
return pnts
|
||
|
|
|
||
|
|
def intersectLineCurve(P1, P2, curve, n = 100):
|
||
|
|
'''
|
||
|
|
Accepts two points of a line P1 & P2, and an array of connected bezier curves [P11, C11, C12, P12, C21, C22, P22, C31, C32, P32, ...]
|
||
|
|
Returns an array points_found[] of point objects where line intersected with the curve, and tangents_found[] of tangent angle at that point
|
||
|
|
'''
|
||
|
|
# get polar equation for line for P1-P2
|
||
|
|
# point furthest away from 1st point in curve[] is the fixed point & sets the direction of the angle towards the curve
|
||
|
|
#if distance(P1, curve[0]) > = distance(P2, curve[0] ):
|
||
|
|
# fixed_pnt = P1
|
||
|
|
# angle = angleOfLine(P1, P2)
|
||
|
|
#else:
|
||
|
|
# fixed_pnt = P2
|
||
|
|
# angle = angleOfLine(P2, P1)
|
||
|
|
#debug('intersectLineCurve...')
|
||
|
|
#debug('....P1 = ' + P1.id + ' ' + str(P1.x) + ', ' + str(P1.y))
|
||
|
|
#debug('....P2 = ' + P2.id + ' ' + str(P2.x) + ', ' + str(P2.y))
|
||
|
|
#for pnt in curve:
|
||
|
|
#debug( '....curve = ' + pnt.id + ' ' + str(pnt.x) + ', ' + str(pnt.y))
|
||
|
|
fixed_pnt = P1
|
||
|
|
angle = angleOfLine(P1, P2)
|
||
|
|
intersections = 0
|
||
|
|
points_found = []
|
||
|
|
tangents_found = []
|
||
|
|
pnt = Point()
|
||
|
|
j = 0
|
||
|
|
while j <= len(curve) -4: # for each bezier curve in curveArray
|
||
|
|
intersection_estimate = intersectLines(P1, P2, curve[j], curve[j + 3]) # is there an intersection?
|
||
|
|
if intersection_estimate != None or intersection_estimate != '':
|
||
|
|
interpolatedPoints = interpolateCurve(curve[j], curve[j + 1], curve[j + 2], curve[j + 3], n) #interpolate this bezier curve, n = 100
|
||
|
|
k = 0
|
||
|
|
while k < len(interpolatedPoints)-1:
|
||
|
|
length = distance(fixed_pnt, interpolatedPoints[k])
|
||
|
|
pnt_on_line = polar(fixed_pnt, length, angle)
|
||
|
|
range = distance(interpolatedPoints[k], interpolatedPoints[k + 1]) # TODO:improve margin of error
|
||
|
|
length = distance(pnt_on_line, interpolatedPoints[k])
|
||
|
|
#debug(str(k) + 'pntOnCurve = ' + \
|
||
|
|
# str(interpolatedPoints[k].x) + ', ' + str(interpolatedPoints[k].y) + \
|
||
|
|
# 'intersectLineAtLength = ' + str(pnt_on_line.x) + ', ' + str( pnt_on_line.y)\
|
||
|
|
# + 'length = ' + str(length) + 'range = ' + str(range))
|
||
|
|
if ( length <= range):
|
||
|
|
#debug('its close enough!')
|
||
|
|
if k > 1:
|
||
|
|
if (interpolatedPoints[k-1] not in points_found) and (interpolatedPoints[k-2] not in points_found):
|
||
|
|
points_found.append(interpolatedPoints[k])
|
||
|
|
tangents_found.append(angleOfLine(interpolatedPoints[k-1], interpolatedPoints[k + 1]))
|
||
|
|
intersections += 1
|
||
|
|
elif k == 1:
|
||
|
|
if (curve[0] not in intersections):
|
||
|
|
points_found.append(interpolatedPoints[1])
|
||
|
|
tangents_found.append(angleOfLine(curve[0], interpolatedPoints[2]))
|
||
|
|
intersections += 1
|
||
|
|
else:
|
||
|
|
intersections.append(curve[0])
|
||
|
|
tangents_found.append(angleOfLine(curve[0], curve[1]))
|
||
|
|
k += 1
|
||
|
|
j += 3 # skip j up to P3 of the current curve to be used as P0 start of next curve
|
||
|
|
if intersections == 0:
|
||
|
|
#TODO: better error handling here
|
||
|
|
debug('no intersections found in intersectLineCurve(' + P1.id + ', ' + P2.id + ' and curve')
|
||
|
|
#return points_found, tangents_found
|
||
|
|
return points_found
|
||
|
|
|
||
|
|
def interpolateCurve(P0, C1, C2, P1, t = 100):
|
||
|
|
'''
|
||
|
|
Accepts curve points P0, C1, C2, P1 & number of interpolations t
|
||
|
|
Returns array of interpolated points of class Point
|
||
|
|
Adapted from http://www.planetclegg.com/projects/WarpingTextToSplines.htm
|
||
|
|
'''
|
||
|
|
# calculate coefficients for two knot points P0 & P1 ; C1 & C2 are the controlpoints.
|
||
|
|
# x coefficients
|
||
|
|
A = P1.x-(3 * C2.x) + (3 * C1.x)-P0.x
|
||
|
|
B = (3 * C2.x)-(6 * C1.x) + (3 * P0.x)
|
||
|
|
C = (3 * C1.x)-(3 * P0.x)
|
||
|
|
D = P0.x
|
||
|
|
# y coefficients
|
||
|
|
E = P1.y-(3 * C2.y) + (3 * C1.y)-P0.y
|
||
|
|
F = (3 * C2.y)-(6 * C1.y) + (3 * P0.y)
|
||
|
|
G = (3 * C1.y)-(3 * P0.y)
|
||
|
|
H = P0.y
|
||
|
|
# calculate interpolated points
|
||
|
|
interpolatedPoints = []
|
||
|
|
maxPoint = float(t)
|
||
|
|
i = 0
|
||
|
|
while ( i <= t):
|
||
|
|
j = i/maxPoint # j can't be an integer, i/t is an integer..always 0.
|
||
|
|
x = A * (j ** 3) + B * (j ** 2) + C * j + D
|
||
|
|
y = E * (j ** 3) + F * (j ** 2) + G * j + H
|
||
|
|
interpolatedPoints.append(Point('', x, y))
|
||
|
|
i += 1
|
||
|
|
return interpolatedPoints
|
||
|
|
|
||
|
|
#---rotations
|
||
|
|
def slashAndSpread(pivot, angle, *args):
|
||
|
|
"""
|
||
|
|
Accepts pivot point, angle of rotation, and the points to be rotated.
|
||
|
|
Accepts positive & negative angles.
|
||
|
|
"""
|
||
|
|
if (angle == 0.0):
|
||
|
|
print('Angle = 0 -- Slash and Spread not possible')
|
||
|
|
else:
|
||
|
|
list = []
|
||
|
|
for arg in args:
|
||
|
|
list.append(arg)
|
||
|
|
i = 0
|
||
|
|
for pnt in list:
|
||
|
|
length = distance(pivot, pnt)
|
||
|
|
rotated_pnt = polar(pivot, length, angleOfLine(pivot, pnt) + angle) # if angle > 0 spread clockwise. if angle < 0 spread counterclockwise
|
||
|
|
updatePoint(pnt, rotated_pnt)
|
||
|
|
return
|
||
|
|
|
||
|
|
#---darts
|
||
|
|
def foldDart(dart, inside_pnt, seam_allowance):
|
||
|
|
'''
|
||
|
|
Accepts dart, and the nearest point in the direction dart will be folded
|
||
|
|
Returns dart.m, dart.oc, dart.ic, dart.angle
|
||
|
|
dart.m = middle dart leg at seamline (to be included in seamline path)
|
||
|
|
dart.oc = inside dart leg at cuttingline (to be included in dartline path)
|
||
|
|
dart.oc = outside dart leg at cuttingline (to be included in dartline path)
|
||
|
|
'''
|
||
|
|
mid_pnt = midPoint(dart.i, dart.o)
|
||
|
|
dart_length = distance(dart, dart.i)
|
||
|
|
i_angle = angleOfLine(dart, dart.i)
|
||
|
|
c_angle = angleOfLine(dart, inside_pnt)
|
||
|
|
dart_angle = abs(angleOfVector(dart.i, dart, dart.o))
|
||
|
|
dart_half_angle = dart_angle/2.0
|
||
|
|
|
||
|
|
#determine which direction the dart will be folded
|
||
|
|
#if ((dart.i.x > dart.x) and (dart.i.y > dart.y)) or ((dart.i.x < dart.x) and (dart.i.y > dart.y)):
|
||
|
|
#x & y vectors not the same sign
|
||
|
|
#dart_half_angle = -dart_half_angle
|
||
|
|
if i_angle > c_angle:
|
||
|
|
dart_half_angle = -dart_half_angle
|
||
|
|
elif dart_angle < c_angle:
|
||
|
|
#dart straddles 0 angle
|
||
|
|
dart_half_angle = -dart_half_angle
|
||
|
|
|
||
|
|
fold_angle = i_angle + dart_half_angle
|
||
|
|
fold_pnt = intersectLineRay(dart.i, inside_pnt, dart, fold_angle)
|
||
|
|
dart.m = onLineAtLength(dart, mid_pnt, distance(dart, fold_pnt)) #dart midpoint at seamline
|
||
|
|
dart.oc = polar(dart, distance(dart, dart.o) + seam_allowance, angleOfLine(dart, dart.o)) #dart outside leg at cuttingline
|
||
|
|
dart.ic = extendLine(dart, dart.i, seam_allowance) #dart inside leg at cuttingline
|
||
|
|
#create or update dart.angles
|
||
|
|
dart.angle = angleOfVector(dart.i, dart, dart.o)
|
||
|
|
return
|
||
|
|
|
||
|
|
#---base, pattern & patternpiece groups
|
||
|
|
def base(parent, id):
|
||
|
|
'''Create a base group to contain all patterns, parent should be the document'''
|
||
|
|
newBase = addGroup(parent, id)
|
||
|
|
newBase.set(inkex.addNS('label', 'inkscape'), id)
|
||
|
|
newBase.set(inkex.addNS('groupmode', 'inkscape'), 'layer')
|
||
|
|
return newBase
|
||
|
|
|
||
|
|
def pattern(parent, id):
|
||
|
|
'''Create a pattern group to hold a single pattern, parent should be the base group'''
|
||
|
|
newPattern = addGroup(parent, id)
|
||
|
|
newPattern.set(inkex.addNS('label', 'inkscape'), id)
|
||
|
|
newPattern.set(inkex.addNS('groupmode', 'inkscape'), 'layer')
|
||
|
|
return newPattern
|
||
|
|
|
||
|
|
def patternPiece(parent, id, name, fabric = 2, interfacing = 0, lining = 0):
|
||
|
|
'''Create a pattern piece group to hold a single pattern piece, parent should be a pattern group'''
|
||
|
|
newPatternPiece = addGroup(parent, id)
|
||
|
|
newPatternPiece.set(inkex.addNS('label', 'inkscape'), name)
|
||
|
|
newPatternPiece.set(inkex.addNS('groupmode', 'inkscape'), 'layer')
|
||
|
|
return newPatternPiece
|
||
|
|
|
||
|
|
#---svg
|
||
|
|
|
||
|
|
def addCircle(parent, id, x, y, radius = 5, fill = 'red', stroke = 'red', stroke_width = '1', reference = 'false'):
|
||
|
|
'''create & write a circle to canvas & set it's attributes'''
|
||
|
|
circ = etree.SubElement(parent, inkex.addNS('circle', 'svg'))
|
||
|
|
circ.set('id', id)
|
||
|
|
circ.set('cx', str(x))
|
||
|
|
circ.set('cy', str(y))
|
||
|
|
circ.set('r', str(radius))
|
||
|
|
circ.set('fill', fill)
|
||
|
|
circ.set('stroke', stroke)
|
||
|
|
circ.set('stroke-width', stroke_width)
|
||
|
|
if reference == 'true':
|
||
|
|
circ.attrib['reference'] = 'true'
|
||
|
|
return
|
||
|
|
|
||
|
|
def addSquare(parent, id, w, h, x, y, reference='false'):
|
||
|
|
# create & write a square element, set its attributes
|
||
|
|
square = etree.SubElement(parent, inkex.addNS('rect', 'svg'))
|
||
|
|
square.set('id', id)
|
||
|
|
square.set('width', str(w))
|
||
|
|
square.set('height', str(h))
|
||
|
|
square.set('x', str(x))
|
||
|
|
square.set('y', str(y))
|
||
|
|
square.set('stroke', 'none')
|
||
|
|
square.set('fill', '#000000')
|
||
|
|
square.set('stroke-width', '1')
|
||
|
|
if (reference == 'true'):
|
||
|
|
square.attrib['reference'] = 'true'
|
||
|
|
return
|
||
|
|
|
||
|
|
def addText(parent, id, x, y, text, fontsize = '12', textalign = 'left', textanchor = 'left', reference = 'false'):
|
||
|
|
'''Create a text element, set its attributes, then write to canvas.
|
||
|
|
The text element is different than other elements -- > Set attributes first then write to canvas using append method.
|
||
|
|
There is no etree.SubElement() method for creating a text element & placing it into the document in one step.
|
||
|
|
Use inkex's etree.Element() method to create an unattached text svg object,
|
||
|
|
then use a document object's append() method to place it on the document canvas'''
|
||
|
|
#create a text element with inkex's Element()
|
||
|
|
txt = etree.Element(inkex.addNS('text', 'svg'))
|
||
|
|
#set attributes of the text element
|
||
|
|
txt.set('id', id)
|
||
|
|
txt.set('x', str(x))
|
||
|
|
txt.set('y', str(y))
|
||
|
|
txt.text = text
|
||
|
|
style = {'text-align':textalign, 'text-anchor':textanchor, 'font-size':fontsize}
|
||
|
|
txt.set('style', str(inkex.Style(style)))
|
||
|
|
if reference == 'true':
|
||
|
|
txt.attrib['reference'] = 'true'
|
||
|
|
#txt.setAttribute('reference', 'true') #alternative syntax
|
||
|
|
#add to canvas in the parent group
|
||
|
|
parent.append(txt)
|
||
|
|
return
|
||
|
|
|
||
|
|
def addLayer(parent, id):
|
||
|
|
'''Create & write an inkscape group-layer to canvas'''
|
||
|
|
new_layer = etree.SubElement(parent, 'g')
|
||
|
|
new_layer.set('id', id)
|
||
|
|
new_layer.set(inkex.addNS('groupmode', 'inkscape'), 'layer')
|
||
|
|
new_layer.set(inkex.addNS('label', 'inkscape'), '%s layer' % (id))
|
||
|
|
return new_layer
|
||
|
|
|
||
|
|
def addGroup(parent, id):
|
||
|
|
'''Create & write an svg group to canvas'''
|
||
|
|
new_layer = etree.SubElement(parent, 'g')
|
||
|
|
new_layer.set('id', id)
|
||
|
|
return new_layer
|
||
|
|
|
||
|
|
def addPath(parent, id, path_str, path_type):
|
||
|
|
'''Accepts parent, id, path string, path type. Creates attribute dictionary. Creates & writes path.'''
|
||
|
|
reference = 'false'
|
||
|
|
if path_type == 'seamline':
|
||
|
|
path_style = {'stroke':'green', 'stroke-width':'4', 'fill':'none', 'opacity':'1', 'stroke-dasharray':'15, 5', 'stroke-dashoffset':'0'}
|
||
|
|
elif path_type == 'cuttingline':
|
||
|
|
path_style = {'stroke':'green', 'stroke-width':'4', 'fill':'none', 'opacity':'1'}
|
||
|
|
elif path_type == 'gridline':
|
||
|
|
path_style = {'stroke':'gray', 'stroke-width':'4', 'fill':'none', 'opacity':'1', 'stroke-dasharray':'6, 6', 'stroke-dashoffset':'0'}
|
||
|
|
reference = 'true'
|
||
|
|
elif path_type == 'dartline':
|
||
|
|
path_style = {'stroke':'gray', 'stroke-width':'4', 'fill':'none', 'opacity':'1'}
|
||
|
|
elif path_type == 'grainline':
|
||
|
|
path_style = {'stroke':'DimGray', 'stroke-width':'3', 'fill':'none', 'opacity':'1', \
|
||
|
|
'marker-start':'url(#ArrowStart)', 'marker-end':'url(#ArrowEnd)'}
|
||
|
|
elif path_type == 'slashline':
|
||
|
|
path_style = {'stroke':'green', 'stroke-width':'4', 'fill':'none', 'opacity':'1'}
|
||
|
|
svg_path = etree.SubElement(parent, inkex.addNS('path', 'svg'))
|
||
|
|
svg_path.set('id', id)
|
||
|
|
svg_path.set('d', path_str)
|
||
|
|
svg_path.set('style', str(inkex.Style(path_style)))
|
||
|
|
if reference == 'true':
|
||
|
|
svg_path.attrib['reference'] = 'true'
|
||
|
|
return svg_path
|
||
|
|
|
||
|
|
def formatPath( * args):
|
||
|
|
"""
|
||
|
|
Accepts a series of pseudo svg path arguments 'M', 'L', 'C' , and point objects.
|
||
|
|
Returns path_string which is a string formatted for use as the 'd' path attribute in an svg object.
|
||
|
|
"""
|
||
|
|
tokens = [] # initialize an empty array
|
||
|
|
# put all the parameters in * args into the array
|
||
|
|
for arg in args:
|
||
|
|
tokens.append(arg)
|
||
|
|
com = ', '
|
||
|
|
path_string = ''
|
||
|
|
i = 0
|
||
|
|
while (i < len(tokens)):
|
||
|
|
cmd = tokens[i]
|
||
|
|
if (cmd == 'M') or (cmd == 'L'):
|
||
|
|
path_string += " %s %g %g" % (cmd, tokens[i + 1].x, tokens[i + 1].y)
|
||
|
|
i = i + 2
|
||
|
|
elif (cmd == 'C'):
|
||
|
|
path_string += " %s %g %g %g %g %g %g" % (cmd, tokens[i + 1].x, \
|
||
|
|
tokens[i + 1].y, tokens[i + 2].x, tokens[i + 2].y, tokens[i + 3].x, tokens[i + 3].y)
|
||
|
|
i = i + 4
|
||
|
|
return path_string
|
||
|
|
|
||
|
|
def addDefs(doc):
|
||
|
|
'''Add defs group with markers to the document'''
|
||
|
|
defs = etree.SubElement(doc, inkex.addNS('defs', 'svg'))
|
||
|
|
#add start arrow
|
||
|
|
marker = etree.SubElement(defs, 'marker', {'id':'ArrowStart', 'orient':'auto', 'refX':'0.0', 'refY':'0.0', 'style':'overflow:visible'})
|
||
|
|
etree.SubElement(marker, 'path', {'d':'M 0, 0 L 0, 5 L -20, 0 L 0, -5 z', 'style':'fill:DimGray; stroke:DimGray; stroke-width:0.5'})
|
||
|
|
#add end arrow
|
||
|
|
marker = etree.SubElement(defs, 'marker', {'id':'ArrowEnd', 'orient':'auto', 'refX':'0.0', 'refY':'0.0', 'style':'overflow:visible'})
|
||
|
|
etree.SubElement(marker, 'path', {'d':'M 0, 0 L 0, 5 L 20, 0 L 0, -5 z', 'style':'fill:DimGray; stroke:DimGray; stroke-width:0.5'})
|