Mercurial > hg-public > lasercut-scripts / file revision
printrun-src/printrun/svg2gcode/simpletransform.py@310be640a303
printrun-src/printrun/svg2gcode/simpletransform.py
Tue, 19 Jan 2021 20:44:16 +0100
- author
- mdd
- date
- Tue, 19 Jan 2021 20:44:16 +0100
- changeset 44
- 310be640a303
- parent 16
- 36d478bde840
- permissions
- -rw-r--r--
Added tag WORKING_BEFORE_UPGRADE_TO_GITMASTER for changeset f7e9bd735ce1
#!/usr/bin/env python ''' Copyright (C) 2006 Jean-Francois Barraud, barraud@math.univ-lille1.fr Copyright (C) 2010 Alvin Penner, penner@vaxxine.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 barraud@math.univ-lille1.fr This code defines several functions to make handling of transform attribute easier. ''' import cubicsuperpath, bezmisc import copy, math, re def parseTransform(transf,mat=[[1.0, 0.0, 0.0], [0.0, 1.0, 0.0]]): if transf=="" or transf==None: return(mat) stransf = transf.strip() result=re.match("(translate|scale|rotate|skewX|skewY|matrix)\s*\(([^)]*)\)\s*,?",stransf) #-- translate -- if result.group(1)=="translate": args=result.group(2).replace(',',' ').split() dx=float(args[0]) if len(args)==1: dy=0.0 else: dy=float(args[1]) matrix=[[1,0,dx],[0,1,dy]] #-- scale -- if result.group(1)=="scale": args=result.group(2).replace(',',' ').split() sx=float(args[0]) if len(args)==1: sy=sx else: sy=float(args[1]) matrix=[[sx,0,0],[0,sy,0]] #-- rotate -- if result.group(1)=="rotate": args=result.group(2).replace(',',' ').split() a=float(args[0])*math.pi/180 if len(args)==1: cx,cy=(0.0,0.0) else: cx,cy=map(float,args[1:]) matrix=[[math.cos(a),-math.sin(a),cx],[math.sin(a),math.cos(a),cy]] matrix=composeTransform(matrix,[[1,0,-cx],[0,1,-cy]]) #-- skewX -- if result.group(1)=="skewX": a=float(result.group(2))*math.pi/180 matrix=[[1,math.tan(a),0],[0,1,0]] #-- skewY -- if result.group(1)=="skewY": a=float(result.group(2))*math.pi/180 matrix=[[1,0,0],[math.tan(a),1,0]] #-- matrix -- if result.group(1)=="matrix": a11,a21,a12,a22,v1,v2=result.group(2).replace(',',' ').split() matrix=[[float(a11),float(a12),float(v1)], [float(a21),float(a22),float(v2)]] matrix=composeTransform(mat,matrix) if result.end() < len(stransf): return(parseTransform(stransf[result.end():], matrix)) else: return matrix def formatTransform(mat): return ("matrix(%f,%f,%f,%f,%f,%f)" % (mat[0][0], mat[1][0], mat[0][1], mat[1][1], mat[0][2], mat[1][2])) def composeTransform(M1,M2): a11 = M1[0][0]*M2[0][0] + M1[0][1]*M2[1][0] a12 = M1[0][0]*M2[0][1] + M1[0][1]*M2[1][1] a21 = M1[1][0]*M2[0][0] + M1[1][1]*M2[1][0] a22 = M1[1][0]*M2[0][1] + M1[1][1]*M2[1][1] v1 = M1[0][0]*M2[0][2] + M1[0][1]*M2[1][2] + M1[0][2] v2 = M1[1][0]*M2[0][2] + M1[1][1]*M2[1][2] + M1[1][2] return [[a11,a12,v1],[a21,a22,v2]] def composeParents(node, mat): trans = node.get('transform') if trans: mat = composeTransform(parseTransform(trans), mat) if node.getparent().tag == inkex.addNS('g','svg'): mat = composeParents(node.getparent(), mat) return mat def applyTransformToNode(mat,node): m=parseTransform(node.get("transform")) newtransf=formatTransform(composeTransform(mat,m)) node.set("transform", newtransf) def applyTransformToPoint(mat,pt): x = mat[0][0]*pt[0] + mat[0][1]*pt[1] + mat[0][2] y = mat[1][0]*pt[0] + mat[1][1]*pt[1] + mat[1][2] pt[0]=x pt[1]=y def applyTransformToPath(mat,path): for comp in path: for ctl in comp: for pt in ctl: applyTransformToPoint(mat,pt) def fuseTransform(node): if node.get('d')==None: #FIXME: how do you raise errors? raise AssertionError, 'can not fuse "transform" of elements that have no "d" attribute' t = node.get("transform") if t == None: return m = parseTransform(t) d = node.get('d') p = cubicsuperpath.parsePath(d) applyTransformToPath(m,p) node.set('d', cubicsuperpath.formatPath(p)) del node.attrib["transform"] #################################################################### ##-- Some functions to compute a rough bbox of a given list of objects. ##-- this should be shipped out in an separate file... def boxunion(b1,b2): if b1 is None: return b2 elif b2 is None: return b1 else: return((min(b1[0],b2[0]), max(b1[1],b2[1]), min(b1[2],b2[2]), max(b1[3],b2[3]))) def roughBBox(path): xmin,xMax,ymin,yMax = path[0][0][0][0],path[0][0][0][0],path[0][0][0][1],path[0][0][0][1] for pathcomp in path: for ctl in pathcomp: for pt in ctl: xmin = min(xmin,pt[0]) xMax = max(xMax,pt[0]) ymin = min(ymin,pt[1]) yMax = max(yMax,pt[1]) return xmin,xMax,ymin,yMax def refinedBBox(path): xmin,xMax,ymin,yMax = path[0][0][1][0],path[0][0][1][0],path[0][0][1][1],path[0][0][1][1] for pathcomp in path: for i in range(1, len(pathcomp)): cmin, cmax = cubicExtrema(pathcomp[i-1][1][0], pathcomp[i-1][2][0], pathcomp[i][0][0], pathcomp[i][1][0]) xmin = min(xmin, cmin) xMax = max(xMax, cmax) cmin, cmax = cubicExtrema(pathcomp[i-1][1][1], pathcomp[i-1][2][1], pathcomp[i][0][1], pathcomp[i][1][1]) ymin = min(ymin, cmin) yMax = max(yMax, cmax) return xmin,xMax,ymin,yMax def cubicExtrema(y0, y1, y2, y3): cmin = min(y0, y3) cmax = max(y0, y3) d1 = y1 - y0 d2 = y2 - y1 d3 = y3 - y2 if (d1 - 2*d2 + d3): if (d2*d2 > d1*d3): t = (d1 - d2 + math.sqrt(d2*d2 - d1*d3))/(d1 - 2*d2 + d3) if (t > 0) and (t < 1): y = y0*(1-t)*(1-t)*(1-t) + 3*y1*t*(1-t)*(1-t) + 3*y2*t*t*(1-t) + y3*t*t*t cmin = min(cmin, y) cmax = max(cmax, y) t = (d1 - d2 - math.sqrt(d2*d2 - d1*d3))/(d1 - 2*d2 + d3) if (t > 0) and (t < 1): y = y0*(1-t)*(1-t)*(1-t) + 3*y1*t*(1-t)*(1-t) + 3*y2*t*t*(1-t) + y3*t*t*t cmin = min(cmin, y) cmax = max(cmax, y) elif (d3 - d1): t = -d1/(d3 - d1) if (t > 0) and (t < 1): y = y0*(1-t)*(1-t)*(1-t) + 3*y1*t*(1-t)*(1-t) + 3*y2*t*t*(1-t) + y3*t*t*t cmin = min(cmin, y) cmax = max(cmax, y) return cmin, cmax def computeBBox(aList,mat=[[1,0,0],[0,1,0]]): bbox=None for node in aList: m = parseTransform(node.get('transform')) m = composeTransform(mat,m) #TODO: text not supported! d = None if node.get("d"): d = node.get('d') elif node.get('points'): d = 'M' + node.get('points') elif node.tag in [ inkex.addNS('rect','svg'), 'rect', inkex.addNS('image','svg'), 'image' ]: d = 'M' + node.get('x', '0') + ',' + node.get('y', '0') + \ 'h' + node.get('width') + 'v' + node.get('height') + \ 'h-' + node.get('width') elif node.tag in [ inkex.addNS('line','svg'), 'line' ]: d = 'M' + node.get('x1') + ',' + node.get('y1') + \ ' ' + node.get('x2') + ',' + node.get('y2') elif node.tag in [ inkex.addNS('circle','svg'), 'circle', \ inkex.addNS('ellipse','svg'), 'ellipse' ]: rx = node.get('r') if rx is not None: ry = rx else: rx = node.get('rx') ry = node.get('ry') cx = float(node.get('cx', '0')) cy = float(node.get('cy', '0')) x1 = cx - float(rx) x2 = cx + float(rx) d = 'M %f %f ' % (x1, cy) + \ 'A' + rx + ',' + ry + ' 0 1 0 %f,%f' % (x2, cy) + \ 'A' + rx + ',' + ry + ' 0 1 0 %f,%f' % (x1, cy) if d is not None: p = cubicsuperpath.parsePath(d) applyTransformToPath(m,p) bbox=boxunion(refinedBBox(p),bbox) elif node.tag == inkex.addNS('use','svg') or node.tag=='use': refid=node.get(inkex.addNS('href','xlink')) path = '//*[@id="%s"]' % refid[1:] refnode = node.xpath(path) bbox=boxunion(computeBBox(refnode,m),bbox) bbox=boxunion(computeBBox(node,m),bbox) return bbox # vim: expandtab shiftwidth=4 tabstop=8 softtabstop=4 fileencoding=utf-8 textwidth=99
