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mightyscape-0.92-deprecated/extensions/fablabchemnitz_lasercut_jigsaw.py

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2019-11-14 20:05:10 +01:00
#! /usr/bin/env python
'''
Copyright (C) 2011 Mark Schafer <neon.mark (a) gmail dot com>
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., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
'''
# Build a Jigsaw puzzle for Lasercutting.
# User defines:
# - dimensions,
# - number of pieces in X and Y,
# - notch size,
# - random amount of perturbation for uniqueness,
# - border and rounding for border and inner corners
# - random or random seed for repeats
### 0.1 make basic jigsaw for lasercut - March 2011
### 0.2 add random seed so repeatable, add pieces for manual booleans - May 2011
### 0.3 add some no-knob edges - June 2019
### Todo
# add option to cut pieces:
# - taking two rows(cols) at a time - reverse the second one and concat on end - add z to close
# - taking a row and a col - do intersect = piece.
__version__ = "0.3"
import inkex, simplestyle, simpletransform, cubicsuperpath
from simplepath import *
import sys, math, random, copy
def randomize(x_y, radius, norm=True, absolute=False):
""" return x,y moved by a random amount inside a radius.
use uniform distribution unless
- norm = True - then use a normal distribution
If absolute is true - ensure random is only added to x,y """
# if norm:
# r = abs(random.normalvariate(0.0,0.5*radius))
# else:
# r = random.uniform(0.0,radius)
x, y = x_y
a = random.uniform(0.0,2*math.pi)
x += math.cos(a)*radius
y += math.sin(a)*radius
if absolute:
x = abs(x)
y = abs(y)
return [x, y]
def add_rounded_rectangle(startx, starty, radius, width, height, style, name, parent, mask=False):
line_path = [['M', [startx, starty+radius]]]
if radius > 0.0: # rounded corners
line_path.append(['c', [0, -radius/2, radius/2, -radius, radius, -radius]])
if mask == "Below":
line_path.append(['m', [width-2*radius, 0,]])
else:
line_path.append(['c', [radius/2, 0, width-2*radius-radius/2, 0, width-2*radius,0 ]]) # top line
line_path.append(['c', [radius/2, 0, radius, radius/2, radius, radius]])
line_path.append(['c', [0, radius/2, 0, height-2*radius-radius/2, 0, height-2*radius]]) # RHS line
line_path.append(['c', [0, radius/2, -radius/2, radius, -radius, radius]])
line_path.append(['c', [-radius/2,0, -width+2*radius+radius/2,0, -width+2*radius,0]]) # bottom line
line_path.append(['c', [-radius/2, 0, -radius, -radius/2, -radius, -radius]])
if mask == "Right":
line_path.append(['m', [0, height]])
else:
line_path.append(['c', [0, -radius/2, 0, -height+2*radius+radius/2, 0, -height+2*radius]]) # LHS line
else: # square corners
if mask == "Below":
line_path.append(['m', [width, 0]])
line_path.append(['l', [0, height, -width, 0, 0, -height]])
elif mask == "Right":
line_path.append(['l', [width, 0, 0, height, -width, 0,]])
else: # separate
line_path.append(['l', [width, 0, 0, height, -width, 0, 0, -height]])
#
#sys.stderr.write("%s\n"% line_path)
attribs = {'style':simplestyle.formatStyle(style),
inkex.addNS('label','inkscape'):name,
'd':formatPath(line_path)}
#sys.stderr.write("%s\n"% attribs)
inkex.etree.SubElement(parent, inkex.addNS('path','svg'), attribs )
###----------------------
### all for intersection from http://www.kevlindev.com/gui/index.htm
"""polynomial constructor
Polynomial.prototype.init = function(coefs) {
this.coefs = new Array();
for ( var i = coefs.length - 1; i >= 0; i-- )
this.coefs.push( coefs[i] );
this._variable = "t";
this._s = 0; """
def get_derivative(polynomial):
""" Polynomial.prototype.getDerivative = function() {
var derivative = new Polynomial();
for ( var i = 1; i < this.coefs.length; i++ ) {
derivative.coefs.push(i*this.coefs[i]);
}
return derivative; """
deriv = []
for i in range(len(polynomial)):
deriv.append(i* polynomial[i])
return deriv
def getroots_in_interval():
""" Polynomial.prototype.getRootsInInterval = function(min, max) {
var roots = new Array();
var root;
if ( this.getDegree() == 1 ) {
root = this.bisection(min, max);
if ( root != null ) roots.push(root);
} else {
// get roots of derivative
var deriv = this.getDerivative();
var droots = deriv.getRootsInInterval(min, max);
if ( droots.length > 0 ) {
// find root on [min, droots[0]]
root = this.bisection(min, droots[0]);
if ( root != null ) roots.push(root);
// find root on [droots[i],droots[i+1]] for 0 <= i <= count-2
for ( i = 0; i <= droots.length-2; i++ ) {
root = this.bisection(droots[i], droots[i+1]);
if ( root != null ) roots.push(root);
}
// find root on [droots[count-1],xmax]
root = this.bisection(droots[droots.length-1], max);
if ( root != null ) roots.push(root);
} else {
// polynomial is monotone on [min,max], has at most one root
root = this.bisection(min, max);
if ( root != null ) roots.push(root);
}
}
return roots; """
pass
def bisection(polynomial, minimum, maximum):
""" Polynomial.prototype.bisection = function(min, max) {
var minValue = this.eval(min);
var maxValue = this.eval(max);
var result;
if ( Math.abs(minValue) <= Polynomial.TOLERANCE )
result = min;
else if ( Math.abs(maxValue) <= Polynomial.TOLERANCE )
result = max;
else if ( minValue * maxValue <= 0 ) {
var tmp1 = Math.log(max - min);
var tmp2 = Math.LN10 * Polynomial.ACCURACY;
var iters = Math.ceil( (tmp1+tmp2) / Math.LN2 );
for ( var i = 0; i < iters; i++ ) {
result = 0.5 * (min + max);
var value = this.eval(result);
if ( Math.abs(value) <= Polynomial.TOLERANCE ) {
break;
}
if ( value * minValue < 0 ) {
max = result;
maxValue = value;
} else {
min = result;
minValue = value;
}
}
}
return result; """
pass
##def intersect_bezier(a1, a2, a3, a4, b1, b2, b3, b4):
## """
## """
## # Calculate the coefficients of cubic polynomial
## #a = a1.multiply(-1);
## a = [i*-1 for i in a1]
## #b = a2.multiply(3);
## b = [i*3 for i in a2]
## #c = a3.multiply(-3);
## c = [i*-3 for i in a3]
## #d = a.add(b.add(c.add(a4)));
## d = [a[i]+b[i]+c[i]+a4[i] for i in range(len(a))]
## #c13 = new Vector2D(d.x, d.y);
## c13 = copy.deepcopy(d)
##
## #a = a1.multiply(3);
## a = [i*3 for i in a1]
## #b = a2.multiply(-6);
## b = [i*-6 for i in a2]
## #c = a3.multiply(3);
## c = [i*3 for i in a3]
## #d = a.add(b.add(c));
## d = [a[i]+b[i]+c[i] for i in range(len(a))]
## #c12 = new Vector2D(d.x, d.y);
## c12 = copy.deepcopy(d)
##
## #a = a1.multiply(-3);
## a = [i*-3 for i in a1]
## #b = a2.multiply(3);
## b = [i*3 for i in a2]
## #c = a.add(b);
## c = [a[i]+b[i] for i in range(len(a))]
## #c11 = new Vector2D(c.x, c.y);
## c11 = copy.deepcopy(c)
## #c10 = new Vector2D(a1.x, a1.y);
## c10 = copy.deepcopy(a1)
##
## #a = b1.multiply(-1);
## a = [i*-1 for i in b1]
## #b = b2.multiply(3);
## b = [i*3 for i in b2]
## #c = b3.multiply(-3);
## c = [i*-3 for i in b3]
## #d = a.add(b.add(c.add(b4)));
## d = [a[i]+b[i]+c[i]+b4[i] for i in range(len(a))]
## #c23 = new Vector2D(d.x, d.y);
## c23 = copy.deepcopy(d)
##
## #a = b1.multiply(3);
## a = [i*3 for i in b1]
## #b = b2.multiply(-6);
## b = [i*-6 for i in b2]
## #c = b3.multiply(3);
## c = [i*3 for i in b3]
## #d = a.add(b.add(c));
## d = [b[i]+c[i] for i in range(len(b))]
## #c22 = new Vector2D(d.x, d.y);
## c22 = copy.deepcopy(d)
##
## #a = b1.multiply(-3);
## a = [i*-3 for i in b1]
## #b = b2.multiply(3);
## b = [i*3 for i in b2]
## #c = a.add(b);
## c = [a[i]+b[i] for i in range(len(a))]
## #c21 = new Vector2D(c.x, c.y);
## c21 = copy.deepcopy(c)
## #c20 = new Vector2D(b1.x, b1.y);
## c20 = copy.deepcopy(b)
##
## c10x2 = c10[0]*c10[0]
## c10x3 = c10[0]*c10[0]*c10[0]
## c10y2 = c10[1]*c10[1]
## c10y3 = c10.y*c10[1]*c10[1]
## c11x2 = c11[0]*c11[0]
## c11x3 = c11[0]*c11[0]*c11[0]
## c11y2 = c11[1]*c11[1]
## c11y3 = c11[1]*c11[1]*c11[1]
## c12x2 = c12[0]*c12[0]
## c12x3 = c12[0]*c12[0]*c12[0]
## c12y2 = c12[1]*c12.[1]
## c12y3 = c12[1]*c12[1]*c12[1]
## c13x2 = c13[0]*c13[0]
## c13x3 = c13[0]*c13[0]*c13[0]
## c13y2 = c13[1]*c13[1]
## c13y3 = c13[1]*c13[1]*c13[1]
## c20x2 = c20[0]*c20[0]
## c20x3 = c20[0]*c20[0]*c20[0]
## c20y2 = c20[1]*c20[1]
## c20y3 = c20[1]*c20[1]*c20[1]
## c21x2 = c21[0]*c21[0]
## c21x3 = c21[0]*c21[0]*c21[0]
## c21y2 = c21[1]*c21[1]
## c22x2 = c22[0]*c22[0]
## c22x3 = c22[0]*c22[0]*c22[0]
## c22y2 = c22[1]*c22[1]
## c23x2 = c23[0]*c23[0]
## c23x3 = c23[0]*c23[0]*c23[0]
## c23y2 = c23[1]*c23[1]
## c23y3 = c23[1]*c23[1]*c23[1]
## # create degree 9 (10 coef) polynomial
## poly = [-c13x3*c23y3 + c13y3*c23x3 - 3*c13.x*c13y2*c23x2*c23.y + 3*c13x2*c13.y*c23.x*c23y2,
## -6*c13.x*c22.x*c13y2*c23.x*c23.y + 6*c13x2*c13.y*c22.y*c23.x*c23.y + 3*c22.x*c13y3*c23x2 -
## 3*c13x3*c22.y*c23y2 - 3*c13.x*c13y2*c22.y*c23x2 + 3*c13x2*c22.x*c13.y*c23y2,
## -6*c21.x*c13.x*c13y2*c23.x*c23.y - 6*c13.x*c22.x*c13y2*c22.y*c23.x + 6*c13x2*c22.x*c13.y*c22.y*c23.y +
## 3*c21.x*c13y3*c23x2 + 3*c22x2*c13y3*c23.x + 3*c21.x*c13x2*c13.y*c23y2 - 3*c13.x*c21.y*c13y2*c23x2 -
## 3*c13.x*c22x2*c13y2*c23.y + c13x2*c13.y*c23.x*(6*c21.y*c23.y + 3*c22y2) + c13x3*(-c21.y*c23y2 -
## 2*c22y2*c23.y - c23.y*(2*c21.y*c23.y + c22y2)),
## c11.x*c12.y*c13.x*c13.y*c23.x*c23.y - c11.y*c12.x*c13.x*c13.y*c23.x*c23.y + 6*c21.x*c22.x*c13y3*c23.x +
## 3*c11.x*c12.x*c13.x*c13.y*c23y2 + 6*c10.x*c13.x*c13y2*c23.x*c23.y - 3*c11.x*c12.x*c13y2*c23.x*c23.y -
## 3*c11.y*c12.y*c13.x*c13.y*c23x2 - 6*c10.y*c13x2*c13.y*c23.x*c23.y - 6*c20.x*c13.x*c13y2*c23.x*c23.y +
## 3*c11.y*c12.y*c13x2*c23.x*c23.y - 2*c12.x*c12y2*c13.x*c23.x*c23.y - 6*c21.x*c13.x*c22.x*c13y2*c23.y -
## 6*c21.x*c13.x*c13y2*c22.y*c23.x - 6*c13.x*c21.y*c22.x*c13y2*c23.x + 6*c21.x*c13x2*c13.y*c22.y*c23.y +
## 2*c12x2*c12.y*c13.y*c23.x*c23.y + c22x3*c13y3 - 3*c10.x*c13y3*c23x2 + 3*c10.y*c13x3*c23y2 +
## 3*c20.x*c13y3*c23x2 + c12y3*c13.x*c23x2 - c12x3*c13.y*c23y2 - 3*c10.x*c13x2*c13.y*c23y2 +
## 3*c10.y*c13.x*c13y2*c23x2 - 2*c11.x*c12.y*c13x2*c23y2 + c11.x*c12.y*c13y2*c23x2 - c11.y*c12.x*c13x2*c23y2 +
## 2*c11.y*c12.x*c13y2*c23x2 + 3*c20.x*c13x2*c13.y*c23y2 - c12.x*c12y2*c13.y*c23x2 -
## 3*c20.y*c13.x*c13y2*c23x2 + c12x2*c12.y*c13.x*c23y2 - 3*c13.x*c22x2*c13y2*c22.y +
## c13x2*c13.y*c23.x*(6*c20.y*c23.y + 6*c21.y*c22.y) + c13x2*c22.x*c13.y*(6*c21.y*c23.y + 3*c22y2) +
## c13x3*(-2*c21.y*c22.y*c23.y - c20.y*c23y2 - c22.y*(2*c21.y*c23.y + c22y2) - c23.y*(2*c20.y*c23.y + 2*c21.y*c22.y)),
## 6*c11.x*c12.x*c13.x*c13.y*c22.y*c23.y + c11.x*c12.y*c13.x*c22.x*c13.y*c23.y + c11.x*c12.y*c13.x*c13.y*c22.y*c23.x -
## c11.y*c12.x*c13.x*c22.x*c13.y*c23.y - c11.y*c12.x*c13.x*c13.y*c22.y*c23.x - 6*c11.y*c12.y*c13.x*c22.x*c13.y*c23.x -
## 6*c10.x*c22.x*c13y3*c23.x + 6*c20.x*c22.x*c13y3*c23.x + 6*c10.y*c13x3*c22.y*c23.y + 2*c12y3*c13.x*c22.x*c23.x -
## 2*c12x3*c13.y*c22.y*c23.y + 6*c10.x*c13.x*c22.x*c13y2*c23.y + 6*c10.x*c13.x*c13y2*c22.y*c23.x +
## 6*c10.y*c13.x*c22.x*c13y2*c23.x - 3*c11.x*c12.x*c22.x*c13y2*c23.y - 3*c11.x*c12.x*c13y2*c22.y*c23.x +
## 2*c11.x*c12.y*c22.x*c13y2*c23.x + 4*c11.y*c12.x*c22.x*c13y2*c23.x - 6*c10.x*c13x2*c13.y*c22.y*c23.y -
## 6*c10.y*c13x2*c22.x*c13.y*c23.y - 6*c10.y*c13x2*c13.y*c22.y*c23.x - 4*c11.x*c12.y*c13x2*c22.y*c23.y -
## 6*c20.x*c13.x*c22.x*c13y2*c23.y - 6*c20.x*c13.x*c13y2*c22.y*c23.x - 2*c11.y*c12.x*c13x2*c22.y*c23.y +
## 3*c11.y*c12.y*c13x2*c22.x*c23.y + 3*c11.y*c12.y*c13x2*c22.y*c23.x - 2*c12.x*c12y2*c13.x*c22.x*c23.y -
## 2*c12.x*c12y2*c13.x*c22.y*c23.x - 2*c12.x*c12y2*c22.x*c13.y*c23.x - 6*c20.y*c13.x*c22.x*c13y2*c23.x -
## 6*c21.x*c13.x*c21.y*c13y2*c23.x - 6*c21.x*c13.x*c22.x*c13y2*c22.y + 6*c20.x*c13x2*c13.y*c22.y*c23.y +
## 2*c12x2*c12.y*c13.x*c22.y*c23.y + 2*c12x2*c12.y*c22.x*c13.y*c23.y + 2*c12x2*c12.y*c13.y*c22.y*c23.x +
## 3*c21.x*c22x2*c13y3 + 3*c21x2*c13y3*c23.x - 3*c13.x*c21.y*c22x2*c13y2 - 3*c21x2*c13.x*c13y2*c23.y +
## c13x2*c22.x*c13.y*(6*c20.y*c23.y + 6*c21.y*c22.y) + c13x2*c13.y*c23.x*(6*c20.y*c22.y + 3*c21y2) +
## c21.x*c13x2*c13.y*(6*c21.y*c23.y + 3*c22y2) + c13x3*(-2*c20.y*c22.y*c23.y - c23.y*(2*c20.y*c22.y + c21y2) -
## c21.y*(2*c21.y*c23.y + c22y2) - c22.y*(2*c20.y*c23.y + 2*c21.y*c22.y)),
## c11.x*c21.x*c12.y*c13.x*c13.y*c23.y + c11.x*c12.y*c13.x*c21.y*c13.y*c23.x + c11.x*c12.y*c13.x*c22.x*c13.y*c22.y -
## c11.y*c12.x*c21.x*c13.x*c13.y*c23.y - c11.y*c12.x*c13.x*c21.y*c13.y*c23.x - c11.y*c12.x*c13.x*c22.x*c13.y*c22.y -
## 6*c11.y*c21.x*c12.y*c13.x*c13.y*c23.x - 6*c10.x*c21.x*c13y3*c23.x + 6*c20.x*c21.x*c13y3*c23.x +
## 2*c21.x*c12y3*c13.x*c23.x + 6*c10.x*c21.x*c13.x*c13y2*c23.y + 6*c10.x*c13.x*c21.y*c13y2*c23.x +
## 6*c10.x*c13.x*c22.x*c13y2*c22.y + 6*c10.y*c21.x*c13.x*c13y2*c23.x - 3*c11.x*c12.x*c21.x*c13y2*c23.y -
## 3*c11.x*c12.x*c21.y*c13y2*c23.x - 3*c11.x*c12.x*c22.x*c13y2*c22.y + 2*c11.x*c21.x*c12.y*c13y2*c23.x +
## 4*c11.y*c12.x*c21.x*c13y2*c23.x - 6*c10.y*c21.x*c13x2*c13.y*c23.y - 6*c10.y*c13x2*c21.y*c13.y*c23.x -
## 6*c10.y*c13x2*c22.x*c13.y*c22.y - 6*c20.x*c21.x*c13.x*c13y2*c23.y - 6*c20.x*c13.x*c21.y*c13y2*c23.x -
## 6*c20.x*c13.x*c22.x*c13y2*c22.y + 3*c11.y*c21.x*c12.y*c13x2*c23.y - 3*c11.y*c12.y*c13.x*c22x2*c13.y +
## 3*c11.y*c12.y*c13x2*c21.y*c23.x + 3*c11.y*c12.y*c13x2*c22.x*c22.y - 2*c12.x*c21.x*c12y2*c13.x*c23.y -
## 2*c12.x*c21.x*c12y2*c13.y*c23.x - 2*c12.x*c12y2*c13.x*c21.y*c23.x - 2*c12.x*c12y2*c13.x*c22.x*c22.y -
## 6*c20.y*c21.x*c13.x*c13y2*c23.x - 6*c21.x*c13.x*c21.y*c22.x*c13y2 + 6*c20.y*c13x2*c21.y*c13.y*c23.x +
## 2*c12x2*c21.x*c12.y*c13.y*c23.y + 2*c12x2*c12.y*c21.y*c13.y*c23.x + 2*c12x2*c12.y*c22.x*c13.y*c22.y -
## 3*c10.x*c22x2*c13y3 + 3*c20.x*c22x2*c13y3 + 3*c21x2*c22.x*c13y3 + c12y3*c13.x*c22x2 +
## 3*c10.y*c13.x*c22x2*c13y2 + c11.x*c12.y*c22x2*c13y2 + 2*c11.y*c12.x*c22x2*c13y2 -
## c12.x*c12y2*c22x2*c13.y - 3*c20.y*c13.x*c22x2*c13y2 - 3*c21x2*c13.x*c13y2*c22.y +
## c12x2*c12.y*c13.x*(2*c21.y*c23.y + c22y2) + c11.x*c12.x*c13.x*c13.y*(6*c21.y*c23.y + 3*c22y2) +
## c21.x*c13x2*c13.y*(6*c20.y*c23.y + 6*c21.y*c22.y) + c12x3*c13.y*(-2*c21.y*c23.y - c22y2) +
## c10.y*c13x3*(6*c21.y*c23.y + 3*c22y2) + c11.y*c12.x*c13x2*(-2*c21.y*c23.y - c22y2) +
## c11.x*c12.y*c13x2*(-4*c21.y*c23.y - 2*c22y2) + c10.x*c13x2*c13.y*(-6*c21.y*c23.y - 3*c22y2) +
## c13x2*c22.x*c13.y*(6*c20.y*c22.y + 3*c21y2) + c20.x*c13x2*c13.y*(6*c21.y*c23.y + 3*c22y2) +
## c13x3*(-2*c20.y*c21.y*c23.y - c22.y*(2*c20.y*c22.y + c21y2) - c20.y*(2*c21.y*c23.y + c22y2) -
## c21.y*(2*c20.y*c23.y + 2*c21.y*c22.y)),
## -c10.x*c11.x*c12.y*c13.x*c13.y*c23.y + c10.x*c11.y*c12.x*c13.x*c13.y*c23.y + 6*c10.x*c11.y*c12.y*c13.x*c13.y*c23.x -
## 6*c10.y*c11.x*c12.x*c13.x*c13.y*c23.y - c10.y*c11.x*c12.y*c13.x*c13.y*c23.x + c10.y*c11.y*c12.x*c13.x*c13.y*c23.x +
## c11.x*c11.y*c12.x*c12.y*c13.x*c23.y - c11.x*c11.y*c12.x*c12.y*c13.y*c23.x + c11.x*c20.x*c12.y*c13.x*c13.y*c23.y +
## c11.x*c20.y*c12.y*c13.x*c13.y*c23.x + c11.x*c21.x*c12.y*c13.x*c13.y*c22.y + c11.x*c12.y*c13.x*c21.y*c22.x*c13.y -
## c20.x*c11.y*c12.x*c13.x*c13.y*c23.y - 6*c20.x*c11.y*c12.y*c13.x*c13.y*c23.x - c11.y*c12.x*c20.y*c13.x*c13.y*c23.x -
## c11.y*c12.x*c21.x*c13.x*c13.y*c22.y - c11.y*c12.x*c13.x*c21.y*c22.x*c13.y - 6*c11.y*c21.x*c12.y*c13.x*c22.x*c13.y -
## 6*c10.x*c20.x*c13y3*c23.x - 6*c10.x*c21.x*c22.x*c13y3 - 2*c10.x*c12y3*c13.x*c23.x + 6*c20.x*c21.x*c22.x*c13y3 +
## 2*c20.x*c12y3*c13.x*c23.x + 2*c21.x*c12y3*c13.x*c22.x + 2*c10.y*c12x3*c13.y*c23.y - 6*c10.x*c10.y*c13.x*c13y2*c23.x +
## 3*c10.x*c11.x*c12.x*c13y2*c23.y - 2*c10.x*c11.x*c12.y*c13y2*c23.x - 4*c10.x*c11.y*c12.x*c13y2*c23.x +
## 3*c10.y*c11.x*c12.x*c13y2*c23.x + 6*c10.x*c10.y*c13x2*c13.y*c23.y + 6*c10.x*c20.x*c13.x*c13y2*c23.y -
## 3*c10.x*c11.y*c12.y*c13x2*c23.y + 2*c10.x*c12.x*c12y2*c13.x*c23.y + 2*c10.x*c12.x*c12y2*c13.y*c23.x +
## 6*c10.x*c20.y*c13.x*c13y2*c23.x + 6*c10.x*c21.x*c13.x*c13y2*c22.y + 6*c10.x*c13.x*c21.y*c22.x*c13y2 +
## 4*c10.y*c11.x*c12.y*c13x2*c23.y + 6*c10.y*c20.x*c13.x*c13y2*c23.x + 2*c10.y*c11.y*c12.x*c13x2*c23.y -
## 3*c10.y*c11.y*c12.y*c13x2*c23.x + 2*c10.y*c12.x*c12y2*c13.x*c23.x + 6*c10.y*c21.x*c13.x*c22.x*c13y2 -
## 3*c11.x*c20.x*c12.x*c13y2*c23.y + 2*c11.x*c20.x*c12.y*c13y2*c23.x + c11.x*c11.y*c12y2*c13.x*c23.x -
## 3*c11.x*c12.x*c20.y*c13y2*c23.x - 3*c11.x*c12.x*c21.x*c13y2*c22.y - 3*c11.x*c12.x*c21.y*c22.x*c13y2 +
## 2*c11.x*c21.x*c12.y*c22.x*c13y2 + 4*c20.x*c11.y*c12.x*c13y2*c23.x + 4*c11.y*c12.x*c21.x*c22.x*c13y2 -
## 2*c10.x*c12x2*c12.y*c13.y*c23.y - 6*c10.y*c20.x*c13x2*c13.y*c23.y - 6*c10.y*c20.y*c13x2*c13.y*c23.x -
## 6*c10.y*c21.x*c13x2*c13.y*c22.y - 2*c10.y*c12x2*c12.y*c13.x*c23.y - 2*c10.y*c12x2*c12.y*c13.y*c23.x -
## 6*c10.y*c13x2*c21.y*c22.x*c13.y - c11.x*c11.y*c12x2*c13.y*c23.y - 2*c11.x*c11y2*c13.x*c13.y*c23.x +
## 3*c20.x*c11.y*c12.y*c13x2*c23.y - 2*c20.x*c12.x*c12y2*c13.x*c23.y - 2*c20.x*c12.x*c12y2*c13.y*c23.x -
## 6*c20.x*c20.y*c13.x*c13y2*c23.x - 6*c20.x*c21.x*c13.x*c13y2*c22.y - 6*c20.x*c13.x*c21.y*c22.x*c13y2 +
## 3*c11.y*c20.y*c12.y*c13x2*c23.x + 3*c11.y*c21.x*c12.y*c13x2*c22.y + 3*c11.y*c12.y*c13x2*c21.y*c22.x -
## 2*c12.x*c20.y*c12y2*c13.x*c23.x - 2*c12.x*c21.x*c12y2*c13.x*c22.y - 2*c12.x*c21.x*c12y2*c22.x*c13.y -
## 2*c12.x*c12y2*c13.x*c21.y*c22.x - 6*c20.y*c21.x*c13.x*c22.x*c13y2 - c11y2*c12.x*c12.y*c13.x*c23.x +
## 2*c20.x*c12x2*c12.y*c13.y*c23.y + 6*c20.y*c13x2*c21.y*c22.x*c13.y + 2*c11x2*c11.y*c13.x*c13.y*c23.y +
## c11x2*c12.x*c12.y*c13.y*c23.y + 2*c12x2*c20.y*c12.y*c13.y*c23.x + 2*c12x2*c21.x*c12.y*c13.y*c22.y +
## 2*c12x2*c12.y*c21.y*c22.x*c13.y + c21x3*c13y3 + 3*c10x2*c13y3*c23.x - 3*c10y2*c13x3*c23.y +
## 3*c20x2*c13y3*c23.x + c11y3*c13x2*c23.x - c11x3*c13y2*c23.y - c11.x*c11y2*c13x2*c23.y +
## c11x2*c11.y*c13y2*c23.x - 3*c10x2*c13.x*c13y2*c23.y + 3*c10y2*c13x2*c13.y*c23.x - c11x2*c12y2*c13.x*c23.y +
## c11y2*c12x2*c13.y*c23.x - 3*c21x2*c13.x*c21.y*c13y2 - 3*c20x2*c13.x*c13y2*c23.y + 3*c20y2*c13x2*c13.y*c23.x +
## c11.x*c12.x*c13.x*c13.y*(6*c20.y*c23.y + 6*c21.y*c22.y) + c12x3*c13.y*(-2*c20.y*c23.y - 2*c21.y*c22.y) +
## c10.y*c13x3*(6*c20.y*c23.y + 6*c21.y*c22.y) + c11.y*c12.x*c13x2*(-2*c20.y*c23.y - 2*c21.y*c22.y) +
## c12x2*c12.y*c13.x*(2*c20.y*c23.y + 2*c21.y*c22.y) + c11.x*c12.y*c13x2*(-4*c20.y*c23.y - 4*c21.y*c22.y) +
## c10.x*c13x2*c13.y*(-6*c20.y*c23.y - 6*c21.y*c22.y) + c20.x*c13x2*c13.y*(6*c20.y*c23.y + 6*c21.y*c22.y) +
## c21.x*c13x2*c13.y*(6*c20.y*c22.y + 3*c21y2) + c13x3*(-2*c20.y*c21.y*c22.y - c20y2*c23.y -
## c21.y*(2*c20.y*c22.y + c21y2) - c20.y*(2*c20.y*c23.y + 2*c21.y*c22.y)),
## -c10.x*c11.x*c12.y*c13.x*c13.y*c22.y + c10.x*c11.y*c12.x*c13.x*c13.y*c22.y + 6*c10.x*c11.y*c12.y*c13.x*c22.x*c13.y -
## 6*c10.y*c11.x*c12.x*c13.x*c13.y*c22.y - c10.y*c11.x*c12.y*c13.x*c22.x*c13.y + c10.y*c11.y*c12.x*c13.x*c22.x*c13.y +
## c11.x*c11.y*c12.x*c12.y*c13.x*c22.y - c11.x*c11.y*c12.x*c12.y*c22.x*c13.y + c11.x*c20.x*c12.y*c13.x*c13.y*c22.y +
## c11.x*c20.y*c12.y*c13.x*c22.x*c13.y + c11.x*c21.x*c12.y*c13.x*c21.y*c13.y - c20.x*c11.y*c12.x*c13.x*c13.y*c22.y -
## 6*c20.x*c11.y*c12.y*c13.x*c22.x*c13.y - c11.y*c12.x*c20.y*c13.x*c22.x*c13.y - c11.y*c12.x*c21.x*c13.x*c21.y*c13.y -
## 6*c10.x*c20.x*c22.x*c13y3 - 2*c10.x*c12y3*c13.x*c22.x + 2*c20.x*c12y3*c13.x*c22.x + 2*c10.y*c12x3*c13.y*c22.y -
## 6*c10.x*c10.y*c13.x*c22.x*c13y2 + 3*c10.x*c11.x*c12.x*c13y2*c22.y - 2*c10.x*c11.x*c12.y*c22.x*c13y2 -
## 4*c10.x*c11.y*c12.x*c22.x*c13y2 + 3*c10.y*c11.x*c12.x*c22.x*c13y2 + 6*c10.x*c10.y*c13x2*c13.y*c22.y +
## 6*c10.x*c20.x*c13.x*c13y2*c22.y - 3*c10.x*c11.y*c12.y*c13x2*c22.y + 2*c10.x*c12.x*c12y2*c13.x*c22.y +
## 2*c10.x*c12.x*c12y2*c22.x*c13.y + 6*c10.x*c20.y*c13.x*c22.x*c13y2 + 6*c10.x*c21.x*c13.x*c21.y*c13y2 +
## 4*c10.y*c11.x*c12.y*c13x2*c22.y + 6*c10.y*c20.x*c13.x*c22.x*c13y2 + 2*c10.y*c11.y*c12.x*c13x2*c22.y -
## 3*c10.y*c11.y*c12.y*c13x2*c22.x + 2*c10.y*c12.x*c12y2*c13.x*c22.x - 3*c11.x*c20.x*c12.x*c13y2*c22.y +
## 2*c11.x*c20.x*c12.y*c22.x*c13y2 + c11.x*c11.y*c12y2*c13.x*c22.x - 3*c11.x*c12.x*c20.y*c22.x*c13y2 -
## 3*c11.x*c12.x*c21.x*c21.y*c13y2 + 4*c20.x*c11.y*c12.x*c22.x*c13y2 - 2*c10.x*c12x2*c12.y*c13.y*c22.y -
## 6*c10.y*c20.x*c13x2*c13.y*c22.y - 6*c10.y*c20.y*c13x2*c22.x*c13.y - 6*c10.y*c21.x*c13x2*c21.y*c13.y -
## 2*c10.y*c12x2*c12.y*c13.x*c22.y - 2*c10.y*c12x2*c12.y*c22.x*c13.y - c11.x*c11.y*c12x2*c13.y*c22.y -
## 2*c11.x*c11y2*c13.x*c22.x*c13.y + 3*c20.x*c11.y*c12.y*c13x2*c22.y - 2*c20.x*c12.x*c12y2*c13.x*c22.y -
## 2*c20.x*c12.x*c12y2*c22.x*c13.y - 6*c20.x*c20.y*c13.x*c22.x*c13y2 - 6*c20.x*c21.x*c13.x*c21.y*c13y2 +
## 3*c11.y*c20.y*c12.y*c13x2*c22.x + 3*c11.y*c21.x*c12.y*c13x2*c21.y - 2*c12.x*c20.y*c12y2*c13.x*c22.x -
## 2*c12.x*c21.x*c12y2*c13.x*c21.y - c11y2*c12.x*c12.y*c13.x*c22.x + 2*c20.x*c12x2*c12.y*c13.y*c22.y -
## 3*c11.y*c21x2*c12.y*c13.x*c13.y + 6*c20.y*c21.x*c13x2*c21.y*c13.y + 2*c11x2*c11.y*c13.x*c13.y*c22.y +
## c11x2*c12.x*c12.y*c13.y*c22.y + 2*c12x2*c20.y*c12.y*c22.x*c13.y + 2*c12x2*c21.x*c12.y*c21.y*c13.y -
## 3*c10.x*c21x2*c13y3 + 3*c20.x*c21x2*c13y3 + 3*c10x2*c22.x*c13y3 - 3*c10y2*c13x3*c22.y + 3*c20x2*c22.x*c13y3 +
## c21x2*c12y3*c13.x + c11y3*c13x2*c22.x - c11x3*c13y2*c22.y + 3*c10.y*c21x2*c13.x*c13y2 -
## c11.x*c11y2*c13x2*c22.y + c11.x*c21x2*c12.y*c13y2 + 2*c11.y*c12.x*c21x2*c13y2 + c11x2*c11.y*c22.x*c13y2 -
## c12.x*c21x2*c12y2*c13.y - 3*c20.y*c21x2*c13.x*c13y2 - 3*c10x2*c13.x*c13y2*c22.y + 3*c10y2*c13x2*c22.x*c13.y -
## c11x2*c12y2*c13.x*c22.y + c11y2*c12x2*c22.x*c13.y - 3*c20x2*c13.x*c13y2*c22.y + 3*c20y2*c13x2*c22.x*c13.y +
## c12x2*c12.y*c13.x*(2*c20.y*c22.y + c21y2) + c11.x*c12.x*c13.x*c13.y*(6*c20.y*c22.y + 3*c21y2) +
## c12x3*c13.y*(-2*c20.y*c22.y - c21y2) + c10.y*c13x3*(6*c20.y*c22.y + 3*c21y2) +
## c11.y*c12.x*c13x2*(-2*c20.y*c22.y - c21y2) + c11.x*c12.y*c13x2*(-4*c20.y*c22.y - 2*c21y2) +
## c10.x*c13x2*c13.y*(-6*c20.y*c22.y - 3*c21y2) + c20.x*c13x2*c13.y*(6*c20.y*c22.y + 3*c21y2) +
## c13x3*(-2*c20.y*c21y2 - c20y2*c22.y - c20.y*(2*c20.y*c22.y + c21y2)),
## -c10.x*c11.x*c12.y*c13.x*c21.y*c13.y + c10.x*c11.y*c12.x*c13.x*c21.y*c13.y + 6*c10.x*c11.y*c21.x*c12.y*c13.x*c13.y -
## 6*c10.y*c11.x*c12.x*c13.x*c21.y*c13.y - c10.y*c11.x*c21.x*c12.y*c13.x*c13.y + c10.y*c11.y*c12.x*c21.x*c13.x*c13.y -
## c11.x*c11.y*c12.x*c21.x*c12.y*c13.y + c11.x*c11.y*c12.x*c12.y*c13.x*c21.y + c11.x*c20.x*c12.y*c13.x*c21.y*c13.y +
## 6*c11.x*c12.x*c20.y*c13.x*c21.y*c13.y + c11.x*c20.y*c21.x*c12.y*c13.x*c13.y - c20.x*c11.y*c12.x*c13.x*c21.y*c13.y -
## 6*c20.x*c11.y*c21.x*c12.y*c13.x*c13.y - c11.y*c12.x*c20.y*c21.x*c13.x*c13.y - 6*c10.x*c20.x*c21.x*c13y3 -
## 2*c10.x*c21.x*c12y3*c13.x + 6*c10.y*c20.y*c13x3*c21.y + 2*c20.x*c21.x*c12y3*c13.x + 2*c10.y*c12x3*c21.y*c13.y -
## 2*c12x3*c20.y*c21.y*c13.y - 6*c10.x*c10.y*c21.x*c13.x*c13y2 + 3*c10.x*c11.x*c12.x*c21.y*c13y2 -
## 2*c10.x*c11.x*c21.x*c12.y*c13y2 - 4*c10.x*c11.y*c12.x*c21.x*c13y2 + 3*c10.y*c11.x*c12.x*c21.x*c13y2 +
## 6*c10.x*c10.y*c13x2*c21.y*c13.y + 6*c10.x*c20.x*c13.x*c21.y*c13y2 - 3*c10.x*c11.y*c12.y*c13x2*c21.y +
## 2*c10.x*c12.x*c21.x*c12y2*c13.y + 2*c10.x*c12.x*c12y2*c13.x*c21.y + 6*c10.x*c20.y*c21.x*c13.x*c13y2 +
## 4*c10.y*c11.x*c12.y*c13x2*c21.y + 6*c10.y*c20.x*c21.x*c13.x*c13y2 + 2*c10.y*c11.y*c12.x*c13x2*c21.y -
## 3*c10.y*c11.y*c21.x*c12.y*c13x2 + 2*c10.y*c12.x*c21.x*c12y2*c13.x - 3*c11.x*c20.x*c12.x*c21.y*c13y2 +
## 2*c11.x*c20.x*c21.x*c12.y*c13y2 + c11.x*c11.y*c21.x*c12y2*c13.x - 3*c11.x*c12.x*c20.y*c21.x*c13y2 +
## 4*c20.x*c11.y*c12.x*c21.x*c13y2 - 6*c10.x*c20.y*c13x2*c21.y*c13.y - 2*c10.x*c12x2*c12.y*c21.y*c13.y -
## 6*c10.y*c20.x*c13x2*c21.y*c13.y - 6*c10.y*c20.y*c21.x*c13x2*c13.y - 2*c10.y*c12x2*c21.x*c12.y*c13.y -
## 2*c10.y*c12x2*c12.y*c13.x*c21.y - c11.x*c11.y*c12x2*c21.y*c13.y - 4*c11.x*c20.y*c12.y*c13x2*c21.y -
## 2*c11.x*c11y2*c21.x*c13.x*c13.y + 3*c20.x*c11.y*c12.y*c13x2*c21.y - 2*c20.x*c12.x*c21.x*c12y2*c13.y -
## 2*c20.x*c12.x*c12y2*c13.x*c21.y - 6*c20.x*c20.y*c21.x*c13.x*c13y2 - 2*c11.y*c12.x*c20.y*c13x2*c21.y +
## 3*c11.y*c20.y*c21.x*c12.y*c13x2 - 2*c12.x*c20.y*c21.x*c12y2*c13.x - c11y2*c12.x*c21.x*c12.y*c13.x +
## 6*c20.x*c20.y*c13x2*c21.y*c13.y + 2*c20.x*c12x2*c12.y*c21.y*c13.y + 2*c11x2*c11.y*c13.x*c21.y*c13.y +
## c11x2*c12.x*c12.y*c21.y*c13.y + 2*c12x2*c20.y*c21.x*c12.y*c13.y + 2*c12x2*c20.y*c12.y*c13.x*c21.y +
## 3*c10x2*c21.x*c13y3 - 3*c10y2*c13x3*c21.y + 3*c20x2*c21.x*c13y3 + c11y3*c21.x*c13x2 - c11x3*c21.y*c13y2 -
## 3*c20y2*c13x3*c21.y - c11.x*c11y2*c13x2*c21.y + c11x2*c11.y*c21.x*c13y2 - 3*c10x2*c13.x*c21.y*c13y2 +
## 3*c10y2*c21.x*c13x2*c13.y - c11x2*c12y2*c13.x*c21.y + c11y2*c12x2*c21.x*c13.y - 3*c20x2*c13.x*c21.y*c13y2 +
## 3*c20y2*c21.x*c13x2*c13.y,
## c10.x*c10.y*c11.x*c12.y*c13.x*c13.y - c10.x*c10.y*c11.y*c12.x*c13.x*c13.y + c10.x*c11.x*c11.y*c12.x*c12.y*c13.y -
## c10.y*c11.x*c11.y*c12.x*c12.y*c13.x - c10.x*c11.x*c20.y*c12.y*c13.x*c13.y + 6*c10.x*c20.x*c11.y*c12.y*c13.x*c13.y +
## c10.x*c11.y*c12.x*c20.y*c13.x*c13.y - c10.y*c11.x*c20.x*c12.y*c13.x*c13.y - 6*c10.y*c11.x*c12.x*c20.y*c13.x*c13.y +
## c10.y*c20.x*c11.y*c12.x*c13.x*c13.y - c11.x*c20.x*c11.y*c12.x*c12.y*c13.y + c11.x*c11.y*c12.x*c20.y*c12.y*c13.x +
## c11.x*c20.x*c20.y*c12.y*c13.x*c13.y - c20.x*c11.y*c12.x*c20.y*c13.x*c13.y - 2*c10.x*c20.x*c12y3*c13.x +
## 2*c10.y*c12x3*c20.y*c13.y - 3*c10.x*c10.y*c11.x*c12.x*c13y2 - 6*c10.x*c10.y*c20.x*c13.x*c13y2 +
## 3*c10.x*c10.y*c11.y*c12.y*c13x2 - 2*c10.x*c10.y*c12.x*c12y2*c13.x - 2*c10.x*c11.x*c20.x*c12.y*c13y2 -
## c10.x*c11.x*c11.y*c12y2*c13.x + 3*c10.x*c11.x*c12.x*c20.y*c13y2 - 4*c10.x*c20.x*c11.y*c12.x*c13y2 +
## 3*c10.y*c11.x*c20.x*c12.x*c13y2 + 6*c10.x*c10.y*c20.y*c13x2*c13.y + 2*c10.x*c10.y*c12x2*c12.y*c13.y +
## 2*c10.x*c11.x*c11y2*c13.x*c13.y + 2*c10.x*c20.x*c12.x*c12y2*c13.y + 6*c10.x*c20.x*c20.y*c13.x*c13y2 -
## 3*c10.x*c11.y*c20.y*c12.y*c13x2 + 2*c10.x*c12.x*c20.y*c12y2*c13.x + c10.x*c11y2*c12.x*c12.y*c13.x +
## c10.y*c11.x*c11.y*c12x2*c13.y + 4*c10.y*c11.x*c20.y*c12.y*c13x2 - 3*c10.y*c20.x*c11.y*c12.y*c13x2 +
## 2*c10.y*c20.x*c12.x*c12y2*c13.x + 2*c10.y*c11.y*c12.x*c20.y*c13x2 + c11.x*c20.x*c11.y*c12y2*c13.x -
## 3*c11.x*c20.x*c12.x*c20.y*c13y2 - 2*c10.x*c12x2*c20.y*c12.y*c13.y - 6*c10.y*c20.x*c20.y*c13x2*c13.y -
## 2*c10.y*c20.x*c12x2*c12.y*c13.y - 2*c10.y*c11x2*c11.y*c13.x*c13.y - c10.y*c11x2*c12.x*c12.y*c13.y -
## 2*c10.y*c12x2*c20.y*c12.y*c13.x - 2*c11.x*c20.x*c11y2*c13.x*c13.y - c11.x*c11.y*c12x2*c20.y*c13.y +
## 3*c20.x*c11.y*c20.y*c12.y*c13x2 - 2*c20.x*c12.x*c20.y*c12y2*c13.x - c20.x*c11y2*c12.x*c12.y*c13.x +
## 3*c10y2*c11.x*c12.x*c13.x*c13.y + 3*c11.x*c12.x*c20y2*c13.x*c13.y + 2*c20.x*c12x2*c20.y*c12.y*c13.y -
## 3*c10x2*c11.y*c12.y*c13.x*c13.y + 2*c11x2*c11.y*c20.y*c13.x*c13.y + c11x2*c12.x*c20.y*c12.y*c13.y -
## 3*c20x2*c11.y*c12.y*c13.x*c13.y - c10x3*c13y3 + c10y3*c13x3 + c20x3*c13y3 - c20y3*c13x3 -
## 3*c10.x*c20x2*c13y3 - c10.x*c11y3*c13x2 + 3*c10x2*c20.x*c13y3 + c10.y*c11x3*c13y2 +
## 3*c10.y*c20y2*c13x3 + c20.x*c11y3*c13x2 + c10x2*c12y3*c13.x - 3*c10y2*c20.y*c13x3 - c10y2*c12x3*c13.y +
## c20x2*c12y3*c13.x - c11x3*c20.y*c13y2 - c12x3*c20y2*c13.y - c10.x*c11x2*c11.y*c13y2 +
## c10.y*c11.x*c11y2*c13x2 - 3*c10.x*c10y2*c13x2*c13.y - c10.x*c11y2*c12x2*c13.y + c10.y*c11x2*c12y2*c13.x -
## c11.x*c11y2*c20.y*c13x2 + 3*c10x2*c10.y*c13.x*c13y2 + c10x2*c11.x*c12.y*c13y2 +
## 2*c10x2*c11.y*c12.x*c13y2 - 2*c10y2*c11.x*c12.y*c13x2 - c10y2*c11.y*c12.x*c13x2 + c11x2*c20.x*c11.y*c13y2 -
## 3*c10.x*c20y2*c13x2*c13.y + 3*c10.y*c20x2*c13.x*c13y2 + c11.x*c20x2*c12.y*c13y2 - 2*c11.x*c20y2*c12.y*c13x2 +
## c20.x*c11y2*c12x2*c13.y - c11.y*c12.x*c20y2*c13x2 - c10x2*c12.x*c12y2*c13.y - 3*c10x2*c20.y*c13.x*c13y2 +
## 3*c10y2*c20.x*c13x2*c13.y + c10y2*c12x2*c12.y*c13.x - c11x2*c20.y*c12y2*c13.x + 2*c20x2*c11.y*c12.x*c13y2 +
## 3*c20.x*c20y2*c13x2*c13.y - c20x2*c12.x*c12y2*c13.y - 3*c20x2*c20.y*c13.x*c13y2 + c12x2*c20y2*c12.y*c13.x
## ]
## roots = poly.getRootsInInterval(0,1);
## #
## for i in range(len(roots)): #( var i = 0; i < roots.length; i++ ) {
## s = roots[i]
## xRoots = [c13.x,
## c12.x,
## c11.x,
## c10.x - c20.x - s*c21.x - s*s*c22.x - s*s*s*c23.x
## ].getRoots()
## yRoots = [c13.y,
## c12.y,
## c11.y,
## c10.y - c20.y - s*c21.y - s*s*c22.y - s*s*s*c23.y
## ].getRoots()
##
## if ( len(xRoots) > 0 and len(yRoots) > 0 ):
## TOLERANCE = 1e-4;
## #label:checkRoots
## #
## for j in range(len(xRoots): #( var j = 0; j < xRoots.length; j++ ) {
## xRoot = xRoots[j]
## #
## if ( 0 <= xRoot and xRoot <= 1 ) {
## for k in range(len(yRoots)): #( var k = 0; k < yRoots.length; k++ ) {
## if ( math.abs( xRoot - yRoots[k] ) < TOLERANCE ):
## result.points.push( c23.multiply(s*s*s).add(c22.multiply(s*s).add(c21.multiply(s).add(c20))))
## break #checkRoots;
## #
## if ( result.points.length > 0 ): result.status = "Intersection";
## return result
###
class LasercutJigsaw(inkex.Effect):
def __init__(self):
inkex.Effect.__init__(self)
self.OptionParser.add_option("-x", "--width",
action="store", type="float",
dest="width", default=50.0,
help="The Box Width - in the X dimension")
self.OptionParser.add_option("-y", "--height",
action="store", type="float",
dest="height", default=30.0,
help="The Box Height - in the Y dimension")
self.OptionParser.add_option("-u", "--units",
action="store", type="string",
dest="units", default="cm",
help="The unit of the box dimensions")
self.OptionParser.add_option("-w", "--pieces_W",
action="store", type="int",
dest="pieces_W", default=11,
help="How many pieces across")
self.OptionParser.add_option("-z", "--pieces_H",
action="store", type="int",
dest="pieces_H", default=11,
help="How many pieces down")
self.OptionParser.add_option("-k", "--notch_percent",
action="store", type="float",
dest="notch_percent", default=0.0,
help="Notch relative size. 0 to 1. 0.15 is good")
self.OptionParser.add_option("-r", "--rand",
action="store", type="float",
dest="rand", default=0.1,
help="Amount to perturb the basic piece grid.")
self.OptionParser.add_option("-i", "--innerradius",
action="store", type="float",
dest="innerradius", default=5.0,
help="0 implies square corners")
self.OptionParser.add_option("-b", "--border",
action="store", type="inkbool",
dest="border", default=False,
help="Add Outer Surround")
self.OptionParser.add_option("-a", "--borderwidth",
action="store", type="float",
dest="borderwidth", default=10.0,
help="Size of external surrounding border.")
self.OptionParser.add_option("-o", "--outerradius",
action="store", type="float",
dest="outerradius", default=5.0,
help="0 implies square corners")
self.OptionParser.add_option("-p", "--pack",
action="store", type="string",
dest="pack", default="Below",
help="Where to place backing piece on page")
self.OptionParser.add_option("-g", "--use_seed",
action="store", type="inkbool",
dest="use_seed", default=False,
help="Use the kerf value as the drawn line width")
self.OptionParser.add_option("-s", "--seed",
action="store", type="int",
dest="seed", default=12345,
help="Random seed for repeatability")
self.OptionParser.add_option("-j", "--pieces",
action="store", type="inkbool",
dest="pieces", default=False,
help="Make extra pieces for manual boolean separation.")
self.OptionParser.add_option("-n", "--smooth_edges",
action="store", type="inkbool",
dest="smooth_edges", default=False,
help="Allow pieces with smooth edges.")
self.OptionParser.add_option("-f", "--noknob_frequency",
action="store", type="float",
dest="noknob_frequency", default=10,
help="Percentage of smooth-sided edges.")
# dummy for the doc tab - which is named
self.OptionParser.add_option("--tab",
action="store", type="string",
dest="tab", default="use",
help="The selected UI-tab when OK was pressed")
# internal useful variables
self.stroke_width = 0.1 # default for visiblity
self.line_style = {'stroke': '#0000FF', # Ponoko blue
'fill': 'none',
'stroke-width': self.stroke_width,
'stroke-linecap': 'butt',
'stroke-linejoin': 'miter'}
def add_jigsaw_horiz_line(self, startx, starty, stepx, steps, width, style, name, parent):
""" complex version All C smooth
- get ctrl pt offset and use on both sides of each node (negate for smooth)"""
line_path = []
# starts with an M - then C with first point same as M = smooth (also last point still in C but doubled)
line_path.append(['M', [startx, starty]])
clist = [startx, starty] # duplicate 1st point so its smooth
for i in range(1,steps+1):
flip = 1
if random.uniform(0.0,1.0) < 0.5:
flip = -1
do_smooth = False
if self.smooth_edges:
if random.uniform(0.0,100.0) < self.noknob_frequency:
do_smooth = True
if do_smooth:
pt1 = randomize((startx+i*stepx/2+stepx/2*(i-1), starty), self.random_radius/3, True)
rand1 = randomize((0, 0), self.random_radius/4, True, True)
# up to pt1
ctrl1 = (-self.notch_step*1.5, self.notch_step*1.5)
clist.extend([pt1[0]+ctrl1[0]-rand1[0], pt1[1]-ctrl1[1]*flip+rand1[1]*flip])
clist.extend(pt1)
# last ctrl point for next step
clist.extend([pt1[0]-ctrl1[0]+rand1[0], pt1[1]+ctrl1[1]*flip-rand1[1]*flip])
else:
pt1 = randomize((startx-self.notch_step+i*stepx/2+stepx/2*(i-1), starty+self.notch_step/4*flip), self.random_radius/3, True)
pt2 = randomize((startx-self.notch_step+i*stepx/2+stepx/2*(i-1), starty-self.notch_step*flip), self.random_radius/3, True)
# pt3 is foor tip of the notch - required ?
pt4 = randomize((startx+self.notch_step+i*stepx/2+stepx/2*(i-1), starty-self.notch_step*flip), self.random_radius/3, True) #mirror of 2
pt5 = randomize((startx+self.notch_step+i*stepx/2+stepx/2*(i-1), starty+self.notch_step/4*flip), self.random_radius/3, True) # mirror of pt1
# Create random local value for x,y of handle - then reflect to enforce smoothness
rand1 = randomize((0, 0), self.random_radius/4, True, True)
rand2 = randomize((0, 0), self.random_radius/4, True, True)
rand4 = randomize((0, 0), self.random_radius/4, True, True)
rand5 = randomize((0, 0), self.random_radius/4, True, True)
# up to pt1
#ctrl1_2 = (startx+i*stepx/2+(i-1)*stepx/2, starty-self.notch_step/3)
ctrl1 = (self.notch_step/1.2, -self.notch_step/3)
clist.extend([pt1[0]-ctrl1[0]-rand1[0], pt1[1]-ctrl1[1]*flip+rand1[1]*flip])
clist.extend(pt1)
# up to pt2
clist.extend([pt1[0]+ctrl1[0]+rand1[0], pt1[1]+ctrl1[1]*flip-rand1[1]*flip])
ctrl2 = (0, -self.notch_step/1.2)
clist.extend([pt2[0]+ctrl2[0]-rand2[0], pt2[1]-ctrl2[1]*flip+rand2[1]*flip])
clist.extend(pt2)
# up to pt4
clist.extend([pt2[0]-ctrl2[0]+rand2[0], pt2[1]+ctrl2[1]*flip-rand2[1]*flip])
ctrl4 = (0, self.notch_step/1.2)
clist.extend([pt4[0]+ctrl4[0]-rand4[0], pt4[1]-ctrl4[1]*flip+rand4[1]*flip])
clist.extend(pt4)
# up to pt5
clist.extend([pt4[0]-ctrl4[0]+rand4[0], pt4[1]+ctrl4[1]*flip-rand4[1]*flip])
ctrl5 = (self.notch_step/1.2, self.notch_step/3)
clist.extend([pt5[0]-ctrl5[0]+rand5[0], pt5[1]-ctrl5[1]*flip-rand5[1]*flip])
clist.extend(pt5)
# last ctrl point for next step
clist.extend([pt5[0]+ctrl5[0]-rand5[0], pt5[1]+ctrl5[1]*flip+rand5[1]*flip])
#
clist.extend([width, starty, width, starty]) # doubled up at end for smooth curve
line_path.append(['C',clist])
#sys.stderr.write("%s\n"% line_path)
line_style = simplestyle.formatStyle(style)
attribs = { 'style':line_style, 'id':name, 'd':formatPath(line_path) }
inkex.etree.SubElement(parent, inkex.addNS('path','svg'), attribs )
def create_horiz_blocks(self, group, gridy, style):
path = lastpath = 0
blocks = []
count = 0
for node in gridy.iterchildren():
if node.tag == inkex.addNS('path','svg'): # which they ALL should because we just made them
path = cubicsuperpath.parsePath(node.get('d')) # turn it into a global C style SVG path
#sys.stderr.write("count: %d\n"% count)
if count == 0: # first one so use the top border
spath = node.get('d') # work on string instead of cubicpath
lastpoint = spath.split()[-2:]
lastx = float(lastpoint[0])
lasty = float(lastpoint[1])
#sys.stderr.write("lastpoint: %s\n"% lastpoint)
spath += ' %f %f %f %f %f %f' % (lastx,lasty-self.inner_radius, lastx,1.5*self.inner_radius, lastx,self.inner_radius)
spath += ' %f %f %f %f %f %f' % (self.width,self.inner_radius/2, self.width-self.inner_radius/2,0, self.width-self.inner_radius,0)
spath += ' %f %f %f %f %f %f' % (self.width-self.inner_radius/2,0, 1.5*self.inner_radius,0, self.inner_radius, 0)
spath += ' %f %f %f %f %f %f' % (self.inner_radius/2, 0, 0,self.inner_radius/2, 0,self.inner_radius)
spath += 'z'
#sys.stderr.write("spath: %s\n"% spath)
#
name = "RowPieces_%d" % (count)
attribs = { 'style':style, 'id':name, 'd':spath }
n = inkex.etree.SubElement(group, inkex.addNS('path','svg'), attribs )
blocks.append(n) # for direct traversal later
else: # internal line - concat a reversed version with the last one
thispath = copy.deepcopy(path)
for i in range(len(thispath[0])): # reverse the internal C pairs
thispath[0][i].reverse()
thispath[0].reverse() # reverse the entire line
lastpath[0].extend(thispath[0]) # append
name = "RowPieces_%d" % (count)
attribs = { 'style':style, 'id':name, 'd':cubicsuperpath.formatPath(lastpath) }
n = inkex.etree.SubElement(group, inkex.addNS('path','svg'), attribs )
blocks.append(n) # for direct traversal later
n.set('d', n.get('d')+'z') # close it
#
count += 1
lastpath = path
# do the last row
spath = node.get('d') # work on string instead of cubicpath
lastpoint = spath.split()[-2:]
lastx = float(lastpoint[0])
lasty = float(lastpoint[1])
#sys.stderr.write("lastpoint: %s\n"% lastpoint)
spath += ' %f %f %f %f %f %f' % (lastx,lasty+self.inner_radius, lastx,self.height-1.5*self.inner_radius, lastx,self.height-self.inner_radius)
spath += ' %f %f %f %f %f %f' % (self.width,self.height-self.inner_radius/2, self.width-self.inner_radius/2,self.height, self.width-self.inner_radius,self.height)
spath += ' %f %f %f %f %f %f' % (self.width-self.inner_radius/2,self.height, 1.5*self.inner_radius,self.height, self.inner_radius, self.height)
spath += ' %f %f %f %f %f %f' % (self.inner_radius/2, self.height, 0,self.height-self.inner_radius/2, 0,self.height-self.inner_radius)
spath += 'z'
#
name = "RowPieces_%d" % (count)
attribs = { 'style':style, 'id':name, 'd':spath }
n = inkex.etree.SubElement(group, inkex.addNS('path','svg'), attribs )
blocks.append(n) # for direct traversal later
#
return(blocks)
def create_vert_blocks(self, group, gridx, style):
path = lastpath = 0
blocks = []
count = 0
for node in gridx.iterchildren():
if node.tag == inkex.addNS('path','svg'): # which they ALL should because we just made them
path = cubicsuperpath.parsePath(node.get('d')) # turn it into a global C style SVG path
#sys.stderr.write("count: %d\n"% count)
if count == 0: # first one so use the right border
spath = node.get('d') # work on string instead of cubicpath
lastpoint = spath.split()[-2:]
lastx = float(lastpoint[0])
lasty = float(lastpoint[1])
#sys.stderr.write("lastpoint: %s\n"% lastpoint)
spath += ' %f %f %f %f %f %f' % (lastx+self.inner_radius/2,lasty, self.width-1.5*self.inner_radius,lasty, self.width-self.inner_radius, lasty)
spath += ' %f %f %f %f %f %f' % (self.width-self.inner_radius/2,lasty, self.width,self.height-self.inner_radius/2, self.width,self.height-self.inner_radius)
spath += ' %f %f %f %f %f %f' % (self.width,self.height-1.5*self.inner_radius, self.width, 1.5*self.inner_radius, self.width,self.inner_radius)
spath += ' %f %f %f %f %f %f' % (self.width,self.inner_radius/2, self.width-self.inner_radius/2,0, self.width-self.inner_radius,0)
spath += 'z'
#sys.stderr.write("spath: %s\n"% spath)
#
name = "ColPieces_%d" % (count)
attribs = { 'style':style, 'id':name, 'd':spath }
n = inkex.etree.SubElement(group, inkex.addNS('path','svg'), attribs )
blocks.append(n) # for direct traversal later
else: # internal line - concat a reversed version with the last one
thispath = copy.deepcopy(path)
for i in range(len(thispath[0])): # reverse the internal C pairs
thispath[0][i].reverse()
thispath[0].reverse() # reverse the entire line
lastpath[0].extend(thispath[0]) # append
name = "ColPieces_%d" % (count)
attribs = { 'style':style, 'id':name, 'd':cubicsuperpath.formatPath(lastpath) }
n = inkex.etree.SubElement(group, inkex.addNS('path','svg'), attribs )
blocks.append(n) # for direct traversal later
n.set('d', n.get('d')+'z') # close it
#
count += 1
lastpath = path
# do the last one (LHS)
spath = node.get('d') # work on string instead of cubicpath
lastpoint = spath.split()[-2:]
lastx = float(lastpoint[0])
lasty = float(lastpoint[1])
#sys.stderr.write("lastpoint: %s\n"% lastpoint)
spath += ' %f %f %f %f %f %f' % (lastx-self.inner_radius,lasty, 1.5*self.inner_radius, lasty, self.inner_radius,lasty)
spath += ' %f %f %f %f %f %f' % (self.inner_radius/2,lasty, 0,lasty-self.inner_radius/2, 0,lasty-self.inner_radius)
spath += ' %f %f %f %f %f %f' % (0,lasty-1.5*self.inner_radius, 0,1.5*self.inner_radius, 0,self.inner_radius)
spath += ' %f %f %f %f %f %f' % (self.inner_radius/2,0, self.inner_radius,0, 1.5*self.inner_radius, 0)
spath += 'z'
#
name = "ColPieces_%d" % (count)
attribs = { 'style':style, 'id':name, 'd':spath }
n = inkex.etree.SubElement(group, inkex.addNS('path','svg'), attribs )
blocks.append(n) # for direct traversal later
#
return(blocks)
def create_pieces(self, jigsaw, gridx, gridy):
""" Loop through each row """
# Treat outer edge carefully as border runs around. So special code the edges
# Internal lines should be in pairs -with second line reversed and appended to first. Close with a 'z'
# Create new group
g_attribs = {inkex.addNS('label','inkscape'):'JigsawPieces:X' + \
str( self.pieces_W )+':Y'+str( self.pieces_H ) }
jigsaw_pieces = inkex.etree.SubElement(jigsaw, 'g', g_attribs)
line_style = simplestyle.formatStyle(self.line_style)
#
xblocks = self.create_horiz_blocks(jigsaw_pieces, gridy, line_style)
#sys.stderr.write("count: %s\n"% dir(gridx))
yblocks = self.create_vert_blocks(jigsaw_pieces, gridx, line_style)
#
# for each xblock intersect it with each Y block
#for x in range(len(xblocks)):
# for y in range(len(yblocks)):
# delete the paths in xblocks and yblocks
# transform them out of the way for now
for node in xblocks:
node.set('transform', 'translate(%f,%f)' % (self.width, 0))
simpletransform.fuseTransform(node)
for node in yblocks:
node.set('transform', 'translate(%f,%f)' % (self.width, 0))
simpletransform.fuseTransform(node)
###--------------------------------------------
### The main function called by the Inkscape UI
def effect(self):
# document dimensions (for centering)
docW = self.unittouu(self.document.getroot().get('width'))
docH = self.unittouu(self.document.getroot().get('height'))
# extract fields from UI
self.width = self.unittouu( str(self.options.width) + self.options.units )
self.height = self.unittouu( str(self.options.height) + self.options.units )
self.pieces_W = self.options.pieces_W
self.pieces_H = self.options.pieces_H
average_block = (self.width/self.pieces_W + self.height/self.pieces_H) / 2
self.notch_step = average_block * self.options.notch_percent / 3 # 3 = a useful notch size factor
self.smooth_edges = self.options.smooth_edges
self.noknob_frequency = self.options.noknob_frequency
self.random_radius = self.options.rand * average_block / 5 # 5 = a useful range factor
self.inner_radius = self.options.innerradius
if self.inner_radius < 0.01: self.inner_radius = 0.0 # snap to 0 for UI error when setting spinner to 0.0
self.border = self.options.border
self.borderwidth = self.options.borderwidth
self.outer_radius = self.options.outerradius
if self.outer_radius < 0.01: self.outer_radius = 0.0 # snap to 0 for UI error when setting spinner to 0.0
self.pack = self.options.pack
# pieces
self.pieces = self.options.pieces
# random function
if not self.options.use_seed:
random.seed(self.options.seed)
#
# set up the main object in the current layer - group gridlines
g_attribs = {inkex.addNS('label','inkscape'):'Jigsaw:X' + \
str( self.pieces_W )+':Y'+str( self.pieces_H ) }
jigsaw_group = inkex.etree.SubElement(self.current_layer, 'g', g_attribs)
#Group for X grid
g_attribs = {inkex.addNS('label','inkscape'):'X_Gridlines'}
gridx = inkex.etree.SubElement(jigsaw_group, 'g', g_attribs)
#Group for Y grid
g_attribs = {inkex.addNS('label','inkscape'):'Y_Gridlines'}
gridy = inkex.etree.SubElement(jigsaw_group, 'g', g_attribs)
# Draw the Border
add_rounded_rectangle(0,0, self.inner_radius, self.width, self.height, self.line_style, 'innerborder', jigsaw_group)
# Do the Border
if self.border:
add_rounded_rectangle(-self.borderwidth,-self.borderwidth, self.outer_radius, self.borderwidth*2+self.width,
self.borderwidth*2+self.height, self.line_style, 'outerborder', jigsaw_group)
# make a second copy below the jigsaw for the cutout BG
if self.pack == "Below":
add_rounded_rectangle(-self.borderwidth,self.borderwidth+ self.height, self.outer_radius, self.borderwidth*2+self.width,
self.borderwidth*2+self.height, self.line_style, 'BG', jigsaw_group, self.pack)
elif self.pack == "Right":
add_rounded_rectangle(self.width+self.borderwidth,-self.borderwidth, self.outer_radius, self.borderwidth*2+self.width,
self.borderwidth*2+self.height, self.line_style, 'BG', jigsaw_group, self.pack)
else: # Separate
add_rounded_rectangle(self.width+self.borderwidth*2,-self.borderwidth, self.outer_radius, self.borderwidth*2+self.width,
self.borderwidth*2+self.height, self.line_style, 'BG', jigsaw_group)
# Step through the Grid
Xstep = self.width / (self.pieces_W)
Ystep = self.height / (self.pieces_H)
# Draw Horizontal lines on Y step with Xstep notches
for i in range(1, self.pieces_H):
self.add_jigsaw_horiz_line(0, Ystep*i, Xstep, self.pieces_W, self.width, self.line_style, 'YDiv'+str(i), gridy)
# Draw Vertical lines on X step with Ystep notches
for i in range(1, self.pieces_W):
self.add_jigsaw_horiz_line(0, Xstep*i, Ystep, self.pieces_H, self.height, self.line_style, 'XDiv'+str(i), gridx)
# Rotate lines into pos
# actualy transform can have multiple transforms in it e.g. 'translate(10,10) rotate(10)'
for node in gridx.iterchildren():
if node.tag == inkex.addNS('path','svg'):
node.set('transform', 'rotate(%d)' % 90)
simpletransform.fuseTransform(node)
node.set('transform', 'translate(%f,%f)' % (self.width, 0))
simpletransform.fuseTransform(node)
# center the jigsaw
jigsaw_group.set('transform', 'translate(%f,%f)' % ( (docW-self.width)/2, (docH-self.height)/2 ) )
# pieces
if self.pieces:
self.create_pieces(jigsaw_group, gridx,gridy)
# needs manual boolean ops until that is exposed or we get all the commented code working up top :-(
###
if __name__ == '__main__':
e = LasercutJigsaw()
e.affect()