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+#!/usr/bin/env python
+'''
+Copyright (C) 2005 Aaron Spike, aaron@ekips.org
+
+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
+
+
+
+drawwave() was translated into python from the postscript version
+described at http://www.ghostscript.com/person/toby/ and located
+at http://www.telegraphics.com.au/sw/sine.ps .
+http://www.tinaja.com/glib/bezsine.pdf shows another method for
+approximating sine with beziers.
+
+The orginal postscript version displayed the following copyright
+notice and was released under the terms of the GPL:
+Copyright (C) 2001-3 Toby Thain, toby@telegraphics.com.au
+'''
+import inkex, simplepath, simplestyle
+from math import *
+from random import *
+
+def drawwave(samples, periods, width, height, left, top,
+ fx = "sin(x)", fpx = "cos(x)", fponum = True):
+
+ # step is the distance between nodes on x
+ step = 2*pi / samples
+ third = step / 3.0
+
+ # coords and scales based on the source rect
+ xoff = left
+ yoff = top + (height / 2)
+ scalex = width / (2*pi * periods)
+ scaley = height / 2
+ procx = lambda x: x * scalex + xoff
+ procy = lambda y: y * scaley + yoff
+
+ # functions specified by the user
+ if fx != "":
+ f = eval('lambda x: ' + fx)
+ if fpx != "":
+ fp = eval('lambda x: ' + fpx)
+
+ # initialize function and derivative for 0;
+ # they are carried over from one iteration to the next, to avoid extra function calculations
+ y0 = f(0)
+ if fponum == True: # numerical derivative, using 0.001*step as the small differential
+ d0 = (f(0 + 0.001*step) - y0)/(0.001*step)
+ else: # derivative given by the user
+ d0 = fp(0)
+
+ a = [] # path array
+ a.append(['M',[procx(0.0), procy(y0)]]) # initial moveto
+
+ for i in range(int(samples * periods)):
+ x = i * step
+ y1 = f(x + step)
+ if fponum == True: # numerical derivative
+ d1 = (y1 - f(x + step - 0.001*step))/(0.001*step)
+ else: # derivative given by the user
+ d1 = fp(x + step)
+ # create curve
+ a.append(['C',[procx(x + third), procy(y0 + (d0 * third)),
+ procx(x + (step - third)), procy(y1 - (d1 * third)),
+ procx(x + step), procy(y1)]])
+ y0 = y1 # next segment's y0 is this segment's y1
+ d0 = d1 # we assume the function is smooth everywhere, so carry over the derivative too
+
+ return a
+
+class Wavy(inkex.Effect):
+ def __init__(self):
+ inkex.Effect.__init__(self)
+ self.OptionParser.add_option("-p", "--periods",
+ action="store", type="float",
+ dest="periods", default=4.0,
+ help="Periods (2*Pi each)")
+ self.OptionParser.add_option("-s", "--samples",
+ action="store", type="int",
+ dest="samples", default=8,
+ help="Samples per period")
+ self.OptionParser.add_option("--fofx",
+ action="store", type="string",
+ dest="fofx", default="sin(x)",
+ help="f(x) for plotting")
+ self.OptionParser.add_option("--fponum",
+ action="store", type="inkbool",
+ dest="fponum", default=True,
+ help="Calculate the first derivative numerically")
+ self.OptionParser.add_option("--fpofx",
+ action="store", type="string",
+ dest="fpofx", default="cos(x)",
+ help="f'(x) for plotting")
+ def effect(self):
+ for id, node in self.selected.iteritems():
+ if node.tagName == 'rect':
+ new = self.document.createElement('svg:path')
+ x = float(node.attributes.getNamedItem('x').value)
+ y = float(node.attributes.getNamedItem('y').value)
+ w = float(node.attributes.getNamedItem('width').value)
+ h = float(node.attributes.getNamedItem('height').value)
+
+ s = node.attributes.getNamedItem('style').value
+ new.setAttribute('style', s)
+ try:
+ t = node.attributes.getNamedItem('transform').value
+ new.setAttribute('transform', t)
+ except AttributeError:
+ pass
+ new.setAttribute('d', simplepath.formatPath(
+ drawwave(self.options.samples,
+ self.options.periods,
+ w,h,x,y,
+ self.options.fofx,
+ self.options.fpofx,
+ self.options.fponum)))
+ node.parentNode.appendChild(new)
+ node.parentNode.removeChild(node)
+
+e = Wavy()
+e.affect()