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mightyscape-1.1-deprecated/extensions/fablabchemnitz/shapes/arakne_xy.py

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2021-07-23 02:36:56 +02:00
#!/usr/bin/env python3
'''
Copyright (C) 2015 Paco Garcia, www.arakne.es
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
'''
import os, sys, tempfile, math, inkex
from lxml import etree
def info(s, newLine="\n"):
sys.stderr.write(s)
#sys.stderr.write(s.encode("UTF-8"))
sys.stderr.write(newLine)
def tern(condition,val1,val2):
return val1 if condition else val2
def _rads(n):
return math.radians(n)
def pow2(n):
return math.pow(n, 2)
# calcula la hipotenusa dados los catetos
def triHipo(catA, catB):
return math.sqrt(pow2(catA) + pow2(catB))
# calcula el cateto dada la hipotenusa y el otro cateto
def triCat(Hipo, catA):
return math.sqrt(pow2(Hipo) - pow2(catA))
class XY:
"""A class for work with 2d points"""
def __init__(self, *args, **kwargs):
self.co=[0.0,0.0]
lArgs=len(args)
if lArgs>0:
if lArgs==1:
if type(args[0])==XY:
self.co=args[0].co
else:
self.co=[args[0],args[0]]
if lArgs>1:
self.co=[args[0],args[1]]
def __add__(self,xy):
self.co = [self.co[0] + xy.co[0],self.co[1] + xy.co[1]]
return self
def __sub__(self,xy):
self.co=[self.co[0] - xy.co[0], self.co[1] - xy.co[1]]
return self
def __eq__(self, xy):
return (self.co[0] == xy.x and self.co[1] == xy.y)
def sub(self,xy):
self.__sub__(xy)
return self
def mul(self,xy):
if type(xy)==XY:
co=[self.co[0] * xy.co[0],self.co[1] * xy.co[1]]
else:
co=[self.co[0] * xy,self.co[1] * xy]
self.co = co
return self
def div(self,xy):
if type(xy)==XY:
co=[self.co[0] / xy.co[0], self.co[1] / xy.co[1]]
else:
co=[self.co[0] / xy, self.co[1] / xy]
self.co = co
return self
def vlength(self):
#return math.sqrt((self.co[0]*self.co[0])+(self.co[1]*self.co[1]))
return triHipo(self.co[0], self.co[1])
def rot(self,ang):
x,y,sa,ca= (self.co[0], self.co[1], math.sin(ang), math.cos(ang))
self.co=[ca * x - sa * y, sa * x + ca * y]
return self
def Rot(self,p,r):
self.co=[math.cos(r)*p, math.sin(r)*p]
return self
def rotate(self,rot,cX=0.0,cY=0.0):
cosRot = math.cos(rot)
px = cX + (self.x-cX) * cosRot - (self.y-cY) * math.sin(rot)
py = cY + (self.x-cX) * math.sin(rot) + (self.y-cY) * cosRot
self.co = [px,py]
return self
def rotateD(self,rot,cX=0.0,cY=0.0):
self.rotate(_rads(rot),cX,cY)
return self
def VDist(self,V2):
tmp = XY(self.co[0],self.co[1])
tmp = tmp.sub(V2)
return tmp.vlength()
def st(self):
return str(self.co[0])+','+str(self.co[1])
@property
def x(self):
return self.co[0]
@property
def sx(self):
return str(self.co[0])
@property
def y(self):
return self.co[1]
@property
def sy(self):
return str(self.co[1])
def hipo(self,xy):
#return math.sqrt(math.pow(self.x-xy.x,2) + math.pow(self.y-xy.y,2) )
return triHipo(self.x-xy.x, self.y-xy.y)
def angBetween2Lines(self,p1,p2): # pC punto comun
return math.atan2(self.y - p1.y, self.x - p1.x) - math.atan2(self.y - p2.y, self.x - p2.x)
def getAngle(self,b):
return math.atan2(b.y - self.y, b.x - self.x)
def getAngleD(self,b):
return math.degrees(math.atan2(b.y - self.y, b.x - self.x))
# translada un punto hacia otro
def atPercent(self, p2, percent):
self.co = [(p2.x - self.x) * percent + self.x,(p2.y-self.y) * percent + self.y]
return self
def atMid(self, p2):
return self.atPercent(p2,0.5)
# ________________________________________________________________
# ________________________________________________________________
# ________________________________________________________________
class bezpnt(object):
def __init__(self,pfixed=None,pprev=None,pnext=None):
if isinstance(pfixed, list):
self.fixed = XY(pfixed[0],pfixed[1])
else:
self.fixed = pfixed
if isinstance(pprev, list):
self.prev = XY(pprev[0],pprev[1])
else:
self.prev = pprev
if isinstance(pnext, list):
self.next = XY(pnext[0],pnext[1])
else:
self.next = pnext
return
def translate(self,x,y):
self.fixed + XY(x,y)
if self.prev!=None:self.prev + XY(x,y)
if self.next!=None:self.next + XY(x,y)
return self
def scale(self,x=1.0,y=1.0):
self.fixed.scale(x,y)
if self.prev!=None:self.prev.scale(x,y)
if self.next!=None:self.next.scale(x,y)
return self
def rotate(self,rot,cX=0.0,cY=0.0):
self.fixed.rotate(rot,cX,cY)
if self.prev!=None:self.prev.rotate(rot,cX,cY)
if self.next!=None:self.next.rotate(rot,cX,cY)
return sel
def skew(self,rotx,roty,cX=0.0,cY=0.0):
self.fixed.skew(rotx,roty,cX,cY)
if self.prev!=None:self.prev.skew(rotx,roty,cX,cY)
if self.next!=None:self.next.skew(rotx,roty,cX,cY)
return self
def copy(self,bez2):
try:
self.fixed=XY().copy(bez2.fixed)
self.prev = None if bez2.prev == None else XY().copy(bez2.prev)
self.next = None if bez2.next == None else XY().copy(bez2.next)
except Exception:
gimp.message(str(Exception))
return self
def arrXY(self):
pts=[]
if self.prev == None:
pts+=self.fixed.arrXY(1)
else:
pts+=self.prev.arrXY(1)
pts+=self.fixed.arrXY(1)
if self.next==None:
pts+=self.fixed.arrXY(1)
else:
pts+=self.next.arrXY(1)
return pts
def Prev(self):
p = self.prev
if p==None: p=self.fixed
return p
def Next(self):
p = self.next
if p==None: p=self.fixed
return p
def Fixed(self):
return self.fixed
def flip(self):
p=self.prev
n=self.next
self.prev=n
self.next=p
def createSmallArcBez(r, a1, a2,rot):
a = (a2 - a1) * 0.5
p4 = XY(r * math.cos(a), r * math.sin(a))
p1 = XY(p4.x, -p4.y)
k = 0.5522847498
f = k * math.tan(a)
p2 = XY(p1.x + f * p4.y, p1.y + f * p4.x)
p3 = XY(p2.x,-p2.y)
ar = a + a1
P1 = XY(r * math.cos(a1), r * math.sin(a1)).rotate(rot)
P2 = XY(p2.x, p2.y).rotate(ar).rotate(rot)
P3 = XY(p3.x, p3.y).rotate(ar).rotate(rot)
P4 = XY(r * math.cos(a2),r * math.sin(a2)).rotate(rot)
B1=bezpnt(P1,None,P2)
B2=bezpnt(P4,P3)
return [B1,B2]
def createArcBez(rad, sAng, eAng):
EPSILON = 0.0000000001
bezs =[]
if eAng < sAng:
eAng += 360.0
sAng = _rads(sAng)
eAng = _rads(eAng)
rot = sAng
sAng = _rads(0)
eAng = eAng - rot
pi2 = math.pi * 2
sAng, eAng = (sAng % pi2, eAng % pi2)
pi_2 = math.pi * 0.5
sign = 1 if (sAng < eAng) else -1
a1 = sAng
totAng = min(math.pi * 2, abs(eAng - sAng))
while (totAng > EPSILON):
a2 = a1 + sign * min(totAng, pi_2)
bezs.extend(createSmallArcBez(rad, a1, a2,rot))
totAng = totAng - abs(a2 - a1)
a1 = a2
return bezs
def bezs2XYList(arc1, transform = None):
pnts=[]
bezs=[]
for aa in arc1:
if aa.prev is not None:
bezs.append(XY(aa.prev))
bezs.append(XY(aa.fixed))
if aa.next is not None:
bezs.append(XY(aa.next))
for i in range(len(bezs)):
v = bezs[i]
if transform:
v = v + transform
if i == 0:
pnts.append(v)
else:
v2=pnts[-1]
if (v2.x != v.x or v2.y != v.y):
pnts.append(XY(v))
a=len(pnts)
return pnts
def XYList(lst, rot = 0.0, add = None):
verts=[]
for nn in range(len(lst)):
v = lst[nn]
if rot != 0.0: v = v.rotate(rot)
if add: v = v + add
verts.append([v.x,v.y])
return verts
def XYListSt(lst, rot = 0.0, add = None):
D2 = ""
for nn in range(len(lst)):
v = lst[nn]
if rot != 0.0: v = v.rotate(rot)
if add: v = v + add
D2 += "%s%s " % (tern(nn==1,"C",""), v.st())
return D2
# circle by quadrants, A: 0>90, B: 90>180, C: 180>270, D: 270>360
def circQ(p,r,abcd="ABCD",inverse=0,xtra=None):
aa = r * 0.551915024494
parts={
'A':[XY(0,-r),XY(aa,-r), XY(r, -aa),XY(r,0)],
'B':[XY(r,0), XY(r, aa), XY(aa, r),XY(0,r)],
'C':[XY(0,r), XY(-aa,r), XY(-r, aa),XY(-r,0)],
'D':[XY(-r,0),XY(-r,-aa),XY(-aa,-r),XY(0,-r)]}
pA = [XY(p)+N for N in parts[abcd[0]]]
for aa in abcd[1:]:
pA = pA + [XY(p)+N for N in parts[aa][1:]]
if inverse==1: pA.reverse()
listA = XYList(pA)
if xtra:
for n in xtra:
listA[n].extend(xtra[n])
return listA
def circleInCircle(c1,r1,c2,r2):
return tern((r1 > (c1.hipo(c2) + r2)),True,False)
def polar2cartesian(cX, cY, rad, ang):
return XY(cX + (rad * math.cos(ang)), cY + (rad * math.sin(ang)))
def setArc(x, y, rad, ang1, ang2, first):
start = polar2cartesian(x, y, rad, ang2)
end = polar2cartesian(x, y, rad, ang1)
arcSweep = "0" if (ang2 - ang1 <= 180) else "1"
d = " A%f,%f 0 %s 0 %s" % (rad, rad, arcSweep, end.st())
if first == 1:
d = "M" + start.st() + " " + d
return d
def setArcs(x, y, rad, ang1, ang2, first):
if ang2 < ang1:
m = setArc(x, y, rad, 0, _rads(ang2), first)
m = m +" "+ setArc(x, y, rad, _rads(ang1), _rads(360), 0)
else:
m = setArc(x, y, rad, _rads(ang1), _rads(ang2), first)
return m
def addChild(padre, type, props):
hijo = etree.SubElement(padre, inkex.addNS(type,'svg'))
for n in props:
hijo.set(n,props[n])
return hijo
def svgCircle(padre, r, cx, cy):
return addChild(padre,'circle' ,{'r':str(r), 'cx': str(cx), 'cy': str(cy)})
def circleInscribedInTri(p1,p2,p3):
d1, d2, d3 = [n.vlength() for n in [XY(p3)-p2, XY(p1)-p3, XY(p2)-p1]]
p = d1 + d2 + d3
centro = XY( (p1.x*d1 + p2.x*d2 + p3.x*d3) / p, (p1.y*d1 + p2.y*d2 + p3.y*d3) / p)
p = p / 2.0
radius = math.sqrt(p * (p - d1) * (p - d2) * (p - d3))/p
return (radius, centro.x, centro.y)
def TriInscribedInCircle(p1,p2,p3):
x12, x13, x31, x21 = (p1.x - p2.x, p1.x - p3.x, p3.x - p1.x, p2.x - p1.x)
y12, y13, y31, y21 = (p1.y - p2.y, p1.y - p3.y, p3.y - p1.y, p2.y - p1.y)
sx13 = pow2(p1.x) - pow2(p3.x)
sy13 = pow2(p1.y) - pow2(p3.y)
sx21 = pow2(p2.x) - pow2(p1.x)
sy21 = pow2(p2.y) - pow2(p1.y)
f = (sx13*x12 + sy13*x12 + sx21*x13 + sy21*x13) / (2 * (y31*x12 - y21*x13))
g = (sx13*y12 + sy13*y12 + sx21*y13 + sy21*y13) / (2 * (x31*y12 - x21*y13))
c = - pow2(p1.x) - pow2(p1.y) - 2*g*p1.x - 2*f*p1.y
r = math.sqrt(pow2(-g) + pow2(-f) - c)
return (r, -g, -f)
# 243