pyx/graph/graph.py

   1 #!/usr/bin/env python
   2 # -*- coding: ISO-8859-1 -*-
   3 #
   4 #
   5 # Copyright (C) 2002-2004 Jörg Lehmann <joergl@users.sourceforge.net>
   6 # Copyright (C) 2003-2004 Michael Schindler <m-schindler@users.sourceforge.net>
   7 # Copyright (C) 2002-2004 André Wobst <wobsta@users.sourceforge.net>
   8 #
   9 # This file is part of PyX (http://pyx.sourceforge.net/).
  10 #
  11 # PyX is free software; you can redistribute it and/or modify
  12 # it under the terms of the GNU General Public License as published by
  13 # the Free Software Foundation; either version 2 of the License, or
  14 # (at your option) any later version.
  15 #
  16 # PyX is distributed in the hope that it will be useful,
  17 # but WITHOUT ANY WARRANTY; without even the implied warranty of
  18 # MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
  19 # GNU General Public License for more details.
  20 #
  21 # You should have received a copy of the GNU General Public License
  22 # along with PyX; if not, write to the Free Software
  23 # Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA  02111-1307  USA
  24
  25
  26 import math, re, string
  27 from pyx import canvas, path, trafo, unit
  28 from pyx.graph.axis import painter, axis
  29
  30
  31 goldenmean = 0.5 * (math.sqrt(5) + 1)
  32
  33
  34 class lineaxispos:
  35     """an axispos linear along a line with a fix direction for the ticks"""
  36
  37     def __init__(self, convert, x1, y1, x2, y2, fixtickdirection):
  38         """initializes the instance
  39         - only the convert method is needed from the axis
  40         - x1, y1, x2, y2 are PyX lengths (start and end position of the line)
  41         - fixtickdirection is a tuple tick direction (fixed along the line)"""
  42         self.convert = convert
  43         self.x1 = x1
  44         self.y1 = y1
  45         self.x2 = x2
  46         self.y2 = y2
  47         self.x1_pt = unit.topt(x1)
  48         self.y1_pt = unit.topt(y1)
  49         self.x2_pt = unit.topt(x2)
  50         self.y2_pt = unit.topt(y2)
  51         self.fixtickdirection = fixtickdirection
  52
  53     def vbasepath(self, v1=None, v2=None):
  54         if v1 is None:
  55             v1 = 0
  56         if v2 is None:
  57             v2 = 1
  58         return path.line_pt((1-v1)*self.x1_pt+v1*self.x2_pt,
  59                             (1-v1)*self.y1_pt+v1*self.y2_pt,
  60                             (1-v2)*self.x1_pt+v2*self.x2_pt,
  61                             (1-v2)*self.y1_pt+v2*self.y2_pt)
  62
  63     def basepath(self, x1=None, x2=None):
  64         if x1 is None:
  65             v1 = 0
  66         else:
  67             v1 = self.convert(x1)
  68         if x2 is None:
  69             v2 = 1
  70         else:
  71             v2 = self.convert(x2)
  72         return path.line_pt((1-v1)*self.x1_pt+v1*self.x2_pt,
  73                             (1-v1)*self.y1_pt+v1*self.y2_pt,
  74                             (1-v2)*self.x1_pt+v2*self.x2_pt,
  75                             (1-v2)*self.y1_pt+v2*self.y2_pt)
  76
  77     def gridpath(self, x):
  78         raise RuntimeError("gridpath not available")
  79
  80     def vgridpath(self, v):
  81         raise RuntimeError("gridpath not available")
  82
  83     def vtickpoint_pt(self, v):
  84         return (1-v)*self.x1_pt+v*self.x2_pt, (1-v)*self.y1_pt+v*self.y2_pt
  85
  86     def vtickpoint(self, v):
  87         return (1-v)*self.x1+v*self.x2, (1-v)*self.y1+v*self.y2
  88
  89     def tickpoint_pt(self, x):
  90         v = self.convert(x)
  91         return (1-v)*self.x1_pt+v*self.x2_pt, (1-v)*self.y1_pt+v*self.y2_pt
  92
  93     def tickpoint(self, x):
  94         v = self.convert(x)
  95         return (1-v)*self.x1+v*self.x2, (1-v)*self.y1+v*self.y2
  96
  97     def tickdirection(self, x):
  98         return self.fixtickdirection
  99
 100     def vtickdirection(self, v):
 101         return self.fixtickdirection
 102
 103
 104 class lineaxisposlinegrid(lineaxispos):
 105     """an axispos linear along a line with a fix direction for the ticks
 106     with support for grid lines for a rectangular graphs"""
 107
 108     __implements__ = painter._Iaxispos
 109
 110     def __init__(self, convert, x1, y1, x2, y2, fixtickdirection, startgridlength, endgridlength):
 111         """initializes the instance
 112         - only the convert method is needed from the axis
 113         - x1, y1, x2, y2 are PyX lengths (start and end position of the line)
 114         - fixtickdirection is a tuple tick direction (fixed along the line)
 115         - startgridlength and endgridlength are PyX lengths for the starting
 116           and end point of the grid, respectively; the gridpath is a line along
 117           the fixtickdirection"""
 118         lineaxispos.__init__(self, convert, x1, y1, x2, y2, fixtickdirection)
 119         self.startgridlength = startgridlength
 120         self.endgridlength = endgridlength
 121         self.startgridlength_pt = unit.topt(self.startgridlength)
 122         self.endgridlength_pt = unit.topt(self.endgridlength)
 123
 124     def gridpath(self, x):
 125         v = self.convert(x)
 126         return path.line_pt((1-v)*self.x1_pt+v*self.x2_pt+self.fixtickdirection[0]*self.startgridlength_pt,
 127                           (1-v)*self.y1_pt+v*self.y2_pt+self.fixtickdirection[1]*self.startgridlength_pt,
 128                           (1-v)*self.x1_pt+v*self.x2_pt+self.fixtickdirection[0]*self.endgridlength_pt,
 129                           (1-v)*self.y1_pt+v*self.y2_pt+self.fixtickdirection[1]*self.endgridlength_pt)
 130
 131     def vgridpath(self, v):
 132         return path.line_pt((1-v)*self.x1_pt+v*self.x2_pt+self.fixtickdirection[0]*self.startgridlength_pt,
 133                           (1-v)*self.y1_pt+v*self.y2_pt+self.fixtickdirection[1]*self.startgridlength_pt,
 134                           (1-v)*self.x1_pt+v*self.x2_pt+self.fixtickdirection[0]*self.endgridlength_pt,
 135                           (1-v)*self.y1_pt+v*self.y2_pt+self.fixtickdirection[1]*self.endgridlength_pt)
 136
 137
 138 class graphxy(canvas.canvas):
 139
 140     def plot(self, data, styles=None):
 141         if self.haslayout:
 142             raise RuntimeError("layout setup was already performed")
 143         try:
 144             for d in data:
 145                 pass
 146         except:
 147             usedata = [data]
 148         else:
 149             usedata = data
 150         if styles is None:
 151             for d in usedata:
 152                 if styles is None:
 153                     styles = d.getdefaultstyles()
 154                 elif styles != d.getdefaultstyles():
 155                     raise RuntimeError("defaultstyles differ")
 156         for d in usedata:
 157             d.setstyles(self, styles)
 158             self.plotdata.append(d)
 159         return data
 160
 161     def pos_pt(self, x, y, xaxis=None, yaxis=None):
 162         if xaxis is None:
 163             xaxis = self.axes["x"]
 164         if yaxis is None:
 165             yaxis = self.axes["y"]
 166         return self.xpos_pt + xaxis.convert(x)*self.width_pt, self.ypos_pt + yaxis.convert(y)*self.height_pt
 167
 168     def pos(self, x, y, xaxis=None, yaxis=None):
 169         if xaxis is None:
 170             xaxis = self.axes["x"]
 171         if yaxis is None:
 172             yaxis = self.axes["y"]
 173         return self.xpos + xaxis.convert(x)*self.width, self.ypos + yaxis.convert(y)*self.height
 174
 175     def vpos_pt(self, vx, vy):
 176         return self.xpos_pt + vx*self.width_pt, self.ypos_pt + vy*self.height_pt
 177
 178     def vpos(self, vx, vy):
 179         return self.xpos + vx*self.width, self.ypos + vy*self.height
 180
 181     def vgeodesic(self, vx1, vy1, vx2, vy2):
 182         """returns a geodesic path between two points in graph coordinates"""
 183         return path.line_pt(self.xpos_pt + vx1*self.width_pt,
 184                             self.ypos_pt + vy1*self.height_pt,
 185                             self.xpos_pt + vx2*self.width_pt,
 186                             self.ypos_pt + vy2*self.height_pt)
 187
 188     def vgeodesic_el(self, vx1, vy1, vx2, vy2):
 189         """returns a geodesic path element between two points in graph coordinates"""
 190         return path.lineto_pt(self.xpos_pt + vx2*self.width_pt,
 191                               self.ypos_pt + vy2*self.height_pt)
 192
 193     def vcap_pt(self, coordinate, length_pt, vx, vy):
 194         """returns an error cap path for a given coordinate, lengths and
 195         point in graph coordinates"""
 196         if coordinate == 0:
 197             return path.line_pt(self.xpos_pt + vx*self.width_pt - 0.5*length_pt,
 198                                 self.ypos_pt + vy*self.height_pt,
 199                                 self.xpos_pt + vx*self.width_pt + 0.5*length_pt,
 200                                 self.ypos_pt + vy*self.height_pt)
 201         elif coordinate == 1:
 202             return path.line_pt(self.xpos_pt + vx*self.width_pt,
 203                                 self.ypos_pt + vy*self.height_pt - 0.5*length_pt,
 204                                 self.xpos_pt + vx*self.width_pt,
 205                                 self.ypos_pt + vy*self.height_pt + 0.5*length_pt)
 206         else:
 207             raise ValueError("direction invalid")
 208
 209     def keynum(self, key):
 210         try:
 211             while key[0] in string.letters:
 212                 key = key[1:]
 213             return int(key)
 214         except IndexError:
 215             return 1
 216
 217     def removedomethod(self, method):
 218         hadmethod = 0
 219         while 1:
 220             try:
 221                 self.domethods.remove(method)
 222                 hadmethod = 1
 223             except ValueError:
 224                 return hadmethod
 225
 226     def dolayout(self):
 227         if not self.removedomethod(self.dolayout): return
 228
 229         # count the usage of styles and perform selects
 230         styletotal = {}
 231         def stylesid(styles):
 232             return ":".join([str(id(style)) for style in styles])
 233         for data in self.plotdata:
 234             try:
 235                 styletotal[stylesid(data.styles)] += 1
 236             except:
 237                 styletotal[stylesid(data.styles)] = 1
 238         styleindex = {}
 239         for data in self.plotdata:
 240             try:
 241                 styleindex[stylesid(data.styles)] += 1
 242             except:
 243                 styleindex[stylesid(data.styles)] = 0
 244             data.selectstyles(self, styleindex[stylesid(data.styles)], styletotal[stylesid(data.styles)])
 245
 246         # adjust the axes ranges
 247         for step in range(3):
 248             for data in self.plotdata:
 249                 data.adjustaxes(self, step)
 250
 251         # finish all axes
 252         XPattern = re.compile(r"x([2-9]|[1-9][0-9]+)?$")
 253         YPattern = re.compile(r"y([2-9]|[1-9][0-9]+)?$")
 254         xaxisextents = [0, 0]
 255         yaxisextents = [0, 0]
 256         needxaxisdist = [0, 0]
 257         needyaxisdist = [0, 0]
 258         items = list(self.axes.items())
 259         items.sort() #TODO: alphabetical sorting breaks for axis numbers bigger than 9
 260         # TODO: linked axes are not taken into account (consider x being a link to x2)
 261         for key, axis in items:
 262             num = self.keynum(key)
 263             num2 = 1 - num % 2 # x1 -> 0, x2 -> 1, x3 -> 0, x4 -> 1, ...
 264             num3 = 2 * (num % 2) - 1 # x1 -> 1, x2 -> -1, x3 -> 1, x4 -> -1, ...
 265             if XPattern.match(key):
 266                 if needxaxisdist[num2]:
 267                     xaxisextents[num2] += self.axesdist
 268                 self.axespos[key] = lineaxisposlinegrid(axis.convert,
 269                                                         self.xpos,
 270                                                         self.ypos + num2*self.height - num3*xaxisextents[num2],
 271                                                         self.xpos + self.width,
 272                                                         self.ypos + num2*self.height - num3*xaxisextents[num2],
 273                                                         (0, num3),
 274                                                         xaxisextents[num2], xaxisextents[num2] + self.height)
 275                 if num == 1:
 276                     self.xbasepath = self.axespos[key].basepath
 277                     self.xvbasepath = self.axespos[key].vbasepath
 278                     self.xgridpath = self.axespos[key].gridpath
 279                     self.xvgridpath = self.axespos[key].vgridpath
 280                     self.xtickpoint_pt = self.axespos[key].tickpoint_pt
 281                     self.xtickpoint = self.axespos[key].tickpoint
 282                     self.xvtickpoint_pt = self.axespos[key].vtickpoint_pt
 283                     self.xvtickpoint = self.axespos[key].tickpoint
 284                     self.xtickdirection = self.axespos[key].tickdirection
 285                     self.xvtickdirection = self.axespos[key].vtickdirection
 286             elif YPattern.match(key):
 287                 if needyaxisdist[num2]:
 288                     yaxisextents[num2] += self.axesdist
 289                 self.axespos[key] = lineaxisposlinegrid(axis.convert,
 290                                                         self.xpos + num2*self.width - num3*yaxisextents[num2],
 291                                                         self.ypos,
 292                                                         self.xpos + num2*self.width - num3*yaxisextents[num2],
 293                                                         self.ypos + self.height,
 294                                                         (num3, 0),
 295                                                         yaxisextents[num2], yaxisextents[num2] + self.width)
 296                 if num == 1:
 297                     self.ybasepath = self.axespos[key].basepath
 298                     self.yvbasepath = self.axespos[key].vbasepath
 299                     self.ygridpath = self.axespos[key].gridpath
 300                     self.yvgridpath = self.axespos[key].vgridpath
 301                     self.ytickpoint_pt = self.axespos[key].tickpoint_pt
 302                     self.ytickpoint = self.axespos[key].tickpoint
 303                     self.yvtickpoint_pt = self.axespos[key].vtickpoint_pt
 304                     self.yvtickpoint = self.axespos[key].tickpoint
 305                     self.ytickdirection = self.axespos[key].tickdirection
 306                     self.yvtickdirection = self.axespos[key].vtickdirection
 307             else:
 308                 raise ValueError("Axis key '%s' not allowed" % key)
 309             axis.finish(self.axespos[key])
 310             if XPattern.match(key):
 311                 xaxisextents[num2] += axis.axiscanvas.extent
 312                 needxaxisdist[num2] = 1
 313             if YPattern.match(key):
 314                 yaxisextents[num2] += axis.axiscanvas.extent
 315                 needyaxisdist[num2] = 1
 316         self.haslayout = 1
 317
 318     def dobackground(self):
 319         self.dolayout()
 320         if not self.removedomethod(self.dobackground): return
 321         if self.backgroundattrs is not None:
 322             self.draw(path.rect_pt(self.xpos_pt, self.ypos_pt, self.width_pt, self.height_pt),
 323                       self.backgroundattrs)
 324
 325     def doaxes(self):
 326         self.dolayout()
 327         if not self.removedomethod(self.doaxes): return
 328         for axis in self.axes.values():
 329             self.insert(axis.axiscanvas)
 330
 331     def dodata(self):
 332         self.dolayout()
 333         if not self.removedomethod(self.dodata): return
 334         for data in self.plotdata:
 335             data.draw(self)
 336
 337     def dokey(self):
 338         self.dolayout()
 339         if not self.removedomethod(self.dokey): return
 340         if self.key is not None:
 341             c = self.key.paint(self.plotdata)
 342             bbox = c.bbox()
 343             def parentchildalign(pmin, pmax, cmin, cmax, pos, dist, inside):
 344                 ppos = pmin+0.5*(cmax-cmin)+dist+pos*(pmax-pmin-cmax+cmin-2*dist)
 345                 cpos = 0.5*(cmin+cmax)+(1-inside)*(1-2*pos)*(cmax-cmin+2*dist)
 346                 return ppos-cpos
 347             x = parentchildalign(self.xpos_pt, self.xpos_pt+self.width_pt,
 348                                  bbox.llx_pt, bbox.urx_pt,
 349                                  self.key.hpos, unit.topt(self.key.hdist), self.key.hinside)
 350             y = parentchildalign(self.ypos_pt, self.ypos_pt+self.height_pt,
 351                                  bbox.lly_pt, bbox.ury_pt,
 352                                  self.key.vpos, unit.topt(self.key.vdist), self.key.vinside)
 353             self.insert(c, [trafo.translate_pt(x, y)])
 354
 355     def finish(self):
 356         while len(self.domethods):
 357             self.domethods[0]()
 358
 359     def initwidthheight(self, width, height, ratio):
 360         if (width is not None) and (height is None):
 361              self.width = width
 362              self.height = (1.0/ratio) * self.width
 363         elif (height is not None) and (width is None):
 364              self.height = height
 365              self.width = ratio * self.height
 366         else:
 367              self.width = width
 368              self.height = height
 369         self.width_pt = unit.topt(self.width)
 370         self.height_pt = unit.topt(self.height)
 371         if self.width_pt <= 0: raise ValueError("width <= 0")
 372         if self.height_pt <= 0: raise ValueError("height <= 0")
 373
 374     def initaxes(self, axes, addlinkaxes=0):
 375         for key in ["x", "y"]:
 376             if not axes.has_key(key):
 377                 axes[key] = axis.linear()
 378             elif axes[key] is None:
 379                 del axes[key]
 380             if addlinkaxes:
 381                 if not axes.has_key(key + "2") and axes.has_key(key):
 382                     axes[key + "2"] = axes[key].createlinkaxis()
 383                 elif axes[key + "2"] is None:
 384                     del axes[key + "2"]
 385         self.axes = axes
 386         self.axesnames = ([], [])
 387         for key in axes.keys():
 388             if len(key) != 1 and (not key[1:].isdigit() or key[1:] == "1"):
 389                 raise ValueError("invalid axis count")
 390             if key[0] == "x":
 391                 self.axesnames[0].append(key)
 392             elif key[0] == "y":
 393                 self.axesnames[1].append(key)
 394             else:
 395                 raise ValueError("invalid axis name")
 396
 397     def __init__(self, xpos=0, ypos=0, width=None, height=None, ratio=goldenmean,
 398                  key=None, backgroundattrs=None, axesdist=0.8*unit.v_cm, **axes):
 399         canvas.canvas.__init__(self)
 400         self.xpos = xpos
 401         self.ypos = ypos
 402         self.xpos_pt = unit.topt(self.xpos)
 403         self.ypos_pt = unit.topt(self.ypos)
 404         self.initwidthheight(width, height, ratio)
 405         self.initaxes(axes, 1)
 406         self.axescanvas = {}
 407         self.axespos = {}
 408         self.key = key
 409         self.backgroundattrs = backgroundattrs
 410         self.axesdist = axesdist
 411         self.plotdata = []
 412         self.domethods = [self.dolayout, self.dobackground, self.doaxes, self.dodata, self.dokey]
 413         self.haslayout = 0
 414         self.addkeys = []
 415
 416     def bbox(self):
 417         self.finish()
 418         return canvas.canvas.bbox(self)
 419
 420     def prolog(self):
 421         self.finish()
 422         return canvas.canvas.prolog(self)
 423
 424     def outputPS(self, file):
 425         self.finish()
 426         canvas.canvas.outputPS(self, file)
 427
 428
 429
 430 # some thoughts, but deferred right now
 431 #
 432 # class graphxyz(graphxy):
 433 #
 434 #     axisnames = "x", "y", "z"
 435 #
 436 #     def _vxtickpoint(self, axis, v):
 437 #         return self._vpos(v, axis.vypos, axis.vzpos)
 438 #
 439 #     def _vytickpoint(self, axis, v):
 440 #         return self._vpos(axis.vxpos, v, axis.vzpos)
 441 #
 442 #     def _vztickpoint(self, axis, v):
 443 #         return self._vpos(axis.vxpos, axis.vypos, v)
 444 #
 445 #     def vxtickdirection(self, axis, v):
 446 #         x1, y1 = self._vpos(v, axis.vypos, axis.vzpos)
 447 #         x2, y2 = self._vpos(v, 0.5, 0)
 448 #         dx, dy = x1 - x2, y1 - y2
 449 #         norm = math.hypot(dx, dy)
 450 #         return dx/norm, dy/norm
 451 #
 452 #     def vytickdirection(self, axis, v):
 453 #         x1, y1 = self._vpos(axis.vxpos, v, axis.vzpos)
 454 #         x2, y2 = self._vpos(0.5, v, 0)
 455 #         dx, dy = x1 - x2, y1 - y2
 456 #         norm = math.hypot(dx, dy)
 457 #         return dx/norm, dy/norm
 458 #
 459 #     def vztickdirection(self, axis, v):
 460 #         return -1, 0
 461 #         x1, y1 = self._vpos(axis.vxpos, axis.vypos, v)
 462 #         x2, y2 = self._vpos(0.5, 0.5, v)
 463 #         dx, dy = x1 - x2, y1 - y2
 464 #         norm = math.hypot(dx, dy)
 465 #         return dx/norm, dy/norm
 466 #
 467 #     def _pos(self, x, y, z, xaxis=None, yaxis=None, zaxis=None):
 468 #         if xaxis is None: xaxis = self.axes["x"]
 469 #         if yaxis is None: yaxis = self.axes["y"]
 470 #         if zaxis is None: zaxis = self.axes["z"]
 471 #         return self._vpos(xaxis.convert(x), yaxis.convert(y), zaxis.convert(z))
 472 #
 473 #     def pos(self, x, y, z, xaxis=None, yaxis=None, zaxis=None):
 474 #         if xaxis is None: xaxis = self.axes["x"]
 475 #         if yaxis is None: yaxis = self.axes["y"]
 476 #         if zaxis is None: zaxis = self.axes["z"]
 477 #         return self.vpos(xaxis.convert(x), yaxis.convert(y), zaxis.convert(z))
 478 #
 479 #     def _vpos(self, vx, vy, vz):
 480 #         x, y, z = (vx - 0.5)*self._depth, (vy - 0.5)*self._width, (vz - 0.5)*self._height
 481 #         d0 = float(self.a[0]*self.b[1]*(z-self.eye[2])
 482 #                  + self.a[2]*self.b[0]*(y-self.eye[1])
 483 #                  + self.a[1]*self.b[2]*(x-self.eye[0])
 484 #                  - self.a[2]*self.b[1]*(x-self.eye[0])
 485 #                  - self.a[0]*self.b[2]*(y-self.eye[1])
 486 #                  - self.a[1]*self.b[0]*(z-self.eye[2]))
 487 #         da = (self.eye[0]*self.b[1]*(z-self.eye[2])
 488 #             + self.eye[2]*self.b[0]*(y-self.eye[1])
 489 #             + self.eye[1]*self.b[2]*(x-self.eye[0])
 490 #             - self.eye[2]*self.b[1]*(x-self.eye[0])
 491 #             - self.eye[0]*self.b[2]*(y-self.eye[1])
 492 #             - self.eye[1]*self.b[0]*(z-self.eye[2]))
 493 #         db = (self.a[0]*self.eye[1]*(z-self.eye[2])
 494 #             + self.a[2]*self.eye[0]*(y-self.eye[1])
 495 #             + self.a[1]*self.eye[2]*(x-self.eye[0])
 496 #             - self.a[2]*self.eye[1]*(x-self.eye[0])
 497 #             - self.a[0]*self.eye[2]*(y-self.eye[1])
 498 #             - self.a[1]*self.eye[0]*(z-self.eye[2]))
 499 #         return da/d0 + self._xpos, db/d0 + self._ypos
 500 #
 501 #     def vpos(self, vx, vy, vz):
 502 #         tx, ty = self._vpos(vx, vy, vz)
 503 #         return unit.t_pt(tx), unit.t_pt(ty)
 504 #
 505 #     def xbaseline(self, axis, x1, x2, xaxis=None):
 506 #         if xaxis is None: xaxis = self.axes["x"]
 507 #         return self.vxbaseline(axis, xaxis.convert(x1), xaxis.convert(x2))
 508 #
 509 #     def ybaseline(self, axis, y1, y2, yaxis=None):
 510 #         if yaxis is None: yaxis = self.axes["y"]
 511 #         return self.vybaseline(axis, yaxis.convert(y1), yaxis.convert(y2))
 512 #
 513 #     def zbaseline(self, axis, z1, z2, zaxis=None):
 514 #         if zaxis is None: zaxis = self.axes["z"]
 515 #         return self.vzbaseline(axis, zaxis.convert(z1), zaxis.convert(z2))
 516 #
 517 #     def vxbaseline(self, axis, v1, v2):
 518 #         return (path._line(*(self._vpos(v1, 0, 0) + self._vpos(v2, 0, 0))) +
 519 #                 path._line(*(self._vpos(v1, 0, 1) + self._vpos(v2, 0, 1))) +
 520 #                 path._line(*(self._vpos(v1, 1, 1) + self._vpos(v2, 1, 1))) +
 521 #                 path._line(*(self._vpos(v1, 1, 0) + self._vpos(v2, 1, 0))))
 522 #
 523 #     def vybaseline(self, axis, v1, v2):
 524 #         return (path._line(*(self._vpos(0, v1, 0) + self._vpos(0, v2, 0))) +
 525 #                 path._line(*(self._vpos(0, v1, 1) + self._vpos(0, v2, 1))) +
 526 #                 path._line(*(self._vpos(1, v1, 1) + self._vpos(1, v2, 1))) +
 527 #                 path._line(*(self._vpos(1, v1, 0) + self._vpos(1, v2, 0))))
 528 #
 529 #     def vzbaseline(self, axis, v1, v2):
 530 #         return (path._line(*(self._vpos(0, 0, v1) + self._vpos(0, 0, v2))) +
 531 #                 path._line(*(self._vpos(0, 1, v1) + self._vpos(0, 1, v2))) +
 532 #                 path._line(*(self._vpos(1, 1, v1) + self._vpos(1, 1, v2))) +
 533 #                 path._line(*(self._vpos(1, 0, v1) + self._vpos(1, 0, v2))))
 534 #
 535 #     def xgridpath(self, x, xaxis=None):
 536 #         assert 0
 537 #         if xaxis is None: xaxis = self.axes["x"]
 538 #         v = xaxis.convert(x)
 539 #         return path._line(self._xpos+v*self._width, self._ypos,
 540 #                           self._xpos+v*self._width, self._ypos+self._height)
 541 #
 542 #     def ygridpath(self, y, yaxis=None):
 543 #         assert 0
 544 #         if yaxis is None: yaxis = self.axes["y"]
 545 #         v = yaxis.convert(y)
 546 #         return path._line(self._xpos, self._ypos+v*self._height,
 547 #                           self._xpos+self._width, self._ypos+v*self._height)
 548 #
 549 #     def zgridpath(self, z, zaxis=None):
 550 #         assert 0
 551 #         if zaxis is None: zaxis = self.axes["z"]
 552 #         v = zaxis.convert(z)
 553 #         return path._line(self._xpos, self._zpos+v*self._height,
 554 #                           self._xpos+self._width, self._zpos+v*self._height)
 555 #
 556 #     def vxgridpath(self, v):
 557 #         return path.path(path._moveto(*self._vpos(v, 0, 0)),
 558 #                          path._lineto(*self._vpos(v, 0, 1)),
 559 #                          path._lineto(*self._vpos(v, 1, 1)),
 560 #                          path._lineto(*self._vpos(v, 1, 0)),
 561 #                          path.closepath())
 562 #
 563 #     def vygridpath(self, v):
 564 #         return path.path(path._moveto(*self._vpos(0, v, 0)),
 565 #                          path._lineto(*self._vpos(0, v, 1)),
 566 #                          path._lineto(*self._vpos(1, v, 1)),
 567 #                          path._lineto(*self._vpos(1, v, 0)),
 568 #                          path.closepath())
 569 #
 570 #     def vzgridpath(self, v):
 571 #         return path.path(path._moveto(*self._vpos(0, 0, v)),
 572 #                          path._lineto(*self._vpos(0, 1, v)),
 573 #                          path._lineto(*self._vpos(1, 1, v)),
 574 #                          path._lineto(*self._vpos(1, 0, v)),
 575 #                          path.closepath())
 576 #
 577 #     def _addpos(self, x, y, dx, dy):
 578 #         assert 0
 579 #         return x+dx, y+dy
 580 #
 581 #     def _connect(self, x1, y1, x2, y2):
 582 #         assert 0
 583 #         return path._lineto(x2, y2)
 584 #
 585 #     def doaxes(self):
 586 #         self.dolayout()
 587 #         if not self.removedomethod(self.doaxes): return
 588 #         axesdist_pt = unit.topt(self.axesdist)
 589 #         XPattern = re.compile(r"%s([2-9]|[1-9][0-9]+)?$" % self.axisnames[0])
 590 #         YPattern = re.compile(r"%s([2-9]|[1-9][0-9]+)?$" % self.axisnames[1])
 591 #         ZPattern = re.compile(r"%s([2-9]|[1-9][0-9]+)?$" % self.axisnames[2])
 592 #         items = list(self.axes.items())
 593 #         items.sort() #TODO: alphabetical sorting breaks for axis numbers bigger than 9
 594 #         for key, axis in items:
 595 #             num = self.keynum(key)
 596 #             num2 = 1 - num % 2 # x1 -> 0, x2 -> 1, x3 -> 0, x4 -> 1, ...
 597 #             num3 = 1 - 2 * (num % 2) # x1 -> -1, x2 -> 1, x3 -> -1, x4 -> 1, ...
 598 #             if XPattern.match(key):
 599 #                 axis.vypos = 0
 600 #                 axis.vzpos = 0
 601 #                 axis._vtickpoint = self._vxtickpoint
 602 #                 axis.vgridpath = self.vxgridpath
 603 #                 axis.vbaseline = self.vxbaseline
 604 #                 axis.vtickdirection = self.vxtickdirection
 605 #             elif YPattern.match(key):
 606 #                 axis.vxpos = 0
 607 #                 axis.vzpos = 0
 608 #                 axis._vtickpoint = self._vytickpoint
 609 #                 axis.vgridpath = self.vygridpath
 610 #                 axis.vbaseline = self.vybaseline
 611 #                 axis.vtickdirection = self.vytickdirection
 612 #             elif ZPattern.match(key):
 613 #                 axis.vxpos = 0
 614 #                 axis.vypos = 0
 615 #                 axis._vtickpoint = self._vztickpoint
 616 #                 axis.vgridpath = self.vzgridpath
 617 #                 axis.vbaseline = self.vzbaseline
 618 #                 axis.vtickdirection = self.vztickdirection
 619 #             else:
 620 #                 raise ValueError("Axis key '%s' not allowed" % key)
 621 #             if axis.painter is not None:
 622 #                 axis.dopaint(self)
 623 # #            if XPattern.match(key):
 624 # #                self._xaxisextents[num2] += axis._extent
 625 # #                needxaxisdist[num2] = 1
 626 # #            if YPattern.match(key):
 627 # #                self._yaxisextents[num2] += axis._extent
 628 # #                needyaxisdist[num2] = 1
 629 #
 630 #     def __init__(self, tex, xpos=0, ypos=0, width=None, height=None, depth=None,
 631 #                  phi=30, theta=30, distance=1,
 632 #                  backgroundattrs=None, axesdist=0.8*unit.v_cm, **axes):
 633 #         canvas.canvas.__init__(self)
 634 #         self.tex = tex
 635 #         self.xpos = xpos
 636 #         self.ypos = ypos
 637 #         self._xpos = unit.topt(xpos)
 638 #         self._ypos = unit.topt(ypos)
 639 #         self._width = unit.topt(width)
 640 #         self._height = unit.topt(height)
 641 #         self._depth = unit.topt(depth)
 642 #         self.width = width
 643 #         self.height = height
 644 #         self.depth = depth
 645 #         if self._width <= 0: raise ValueError("width < 0")
 646 #         if self._height <= 0: raise ValueError("height < 0")
 647 #         if self._depth <= 0: raise ValueError("height < 0")
 648 #         self._distance = distance*math.sqrt(self._width*self._width+
 649 #                                             self._height*self._height+
 650 #                                             self._depth*self._depth)
 651 #         phi *= -math.pi/180
 652 #         theta *= math.pi/180
 653 #         self.a = (-math.sin(phi), math.cos(phi), 0)
 654 #         self.b = (-math.cos(phi)*math.sin(theta),
 655 #                   -math.sin(phi)*math.sin(theta),
 656 #                   math.cos(theta))
 657 #         self.eye = (self._distance*math.cos(phi)*math.cos(theta),
 658 #                     self._distance*math.sin(phi)*math.cos(theta),
 659 #                     self._distance*math.sin(theta))
 660 #         self.initaxes(axes)
 661 #         self.axesdist = axesdist
 662 #         self.backgroundattrs = backgroundattrs
 663 #
 664 #         self.data = []
 665 #         self.domethods = [self.dolayout, self.dobackground, self.doaxes, self.dodata]
 666 #         self.haslayout = 0
 667 #         self.defaultstyle = {}
 668 #
 669 #     def bbox(self):
 670 #         self.finish()
 671 #         return bbox._bbox(self._xpos - 200, self._ypos - 200, self._xpos + 200, self._ypos + 200)