# This module provides classes that represent VRML objects for use # in data visualization applications. # # Written by: Konrad Hinsen # Last revision: 2001-1-3 # """This module provides definitions of simple 3D graphics objects and VRML scenes containing them. The objects are appropriate for data visualization, not for virtual reality modelling. Scenes can be written to VRML files or visualized immediately using a VRML browser, whose name is taken from the environment variable VRMLVIEWER (under Unix). There are a few attributes that are common to all graphics objects: material -- a Material object defining color and surface properties comment -- a comment string that will be written to the VRML file reuse -- a boolean flag (defaulting to false). If set to one, the object may share its VRML definition with other objects. This reduces the size of the VRML file, but can yield surprising side effects in some cases. This module used the original VRML definition, version 1.0. For the newer VRML 2 or VRML97, use the module VRML2, which uses exactly the same interface. There is another almost perfectly compatible module VMD, which produces input files for the molecular visualization program VMD. Example: >>>from Scientific.Visualization.VRML import * >>>scene = Scene([]) >>>scale = ColorScale(10.) >>>for x in range(11): >>> color = scale(x) >>> scene.addObject(Cube(Vector(x, 0., 0.), 0.2, >>> material=Material(diffuse_color = color))) >>>scene.view() """ from Scientific.IO.TextFile import TextFile from Scientific.Geometry import Transformation, Vector, VectorModule import Numeric import os, string, tempfile from Color import * # # VRML file # class SceneFile: def __init__(self, filename, mode = 'r'): if mode == 'r': raise TypeError, 'Not yet implemented.' self.file = TextFile(filename, 'w') self.file.write('#VRML V1.0 ascii\n') self.file.write('Separator {\n') self.memo = {} self.name_counter = 0 def __del__(self): self.close() def writeString(self, data): self.file.write(data) def close(self): if self.file is not None: self.file.write('}\n') self.file.close() self.file = None def write(self, object): object.writeToFile(self) def uniqueName(self): self.name_counter = self.name_counter + 1 return 'i' + `self.name_counter` VRMLFile = SceneFile # # Scene # class Scene: """VRML scene A VRML scene is a collection of graphics objects that can be written to a VRML file or fed directly to a VRML browser. Constructor: Scene(|objects|=None, |cameras|=None, **|options|) Arguments: |objects| -- a list of graphics objects or 'None' for an empty scene |cameras| -- a list of cameras (not yet implemented) |options| -- options as keyword arguments (none defined at the moment; this argument is provided for compatibility with other modules) """ def __init__(self, objects = None, cameras = None, **options): if objects is None: self.objects = [] elif type(objects) == type([]): self.objects = objects else: self.objects = [objects] if cameras is None: self.cameras = [] else: self.cameras = cameras def __len__(self): return len(self.objects) def __getitem__(self, item): return self.object[item] def addObject(self, object): "Adds |object| to the list of graphics objects." self.objects.append(object) def addCamera(self, camera): "Adds |camers| to the list of cameras." self.cameras.append(camera) def writeToFile(self, filename): "Writes the scene to a VRML file with name |filename|." file = VRMLFile(filename, 'w') if self.cameras: self.cameras[0].writeToFile(file) for o in self.objects: o.writeToFile(file) file.close() def view(self): "Start a VRML browser for the scene." import sys filename = tempfile.mktemp()+'.wrl' if sys.platform == 'win32': import win32api self.writeToFile(filename) win32api.ShellExecute(0, "open", filename, None, "", 1) elif os.environ.has_key('VRMLVIEWER'): self.writeToFile(filename) if os.fork() == 0: os.system(os.environ['VRMLVIEWER'] + ' ' + filename + ' 1> /dev/null 2>&1') os.unlink(filename) os._exit(0) else: print 'No VRML viewer defined' # # Base class for everything that produces nodes # class VRMLObject: def __init__(self, attr): self.attr = {} for key, value in attr.items(): if key in self.attribute_names: self.attr[key] = value else: raise AttributeError, 'illegal attribute: ' + str(key) attribute_names = ['comment'] def __getitem__(self, attr): try: return self.attr[attr] except KeyError: return None def __setitem__(self, attr, value): self.attr[attr] = value def __copy__(self): return copy.deepcopy(self) def writeToFile(self, file): raise AttributeError, 'Class ' + self.__class__.__name__ + \ ' does not implement file output.' # # Shapes # class ShapeObject(VRMLObject): def __init__(self, attr, rotation, translation, reference_point): VRMLObject.__init__(self, attr) if rotation is None: rotation = Transformation.Rotation(VectorModule.ez, 0.) else: rotation = apply(Transformation.Rotation, rotation) if translation is None: translation = Transformation.Translation(Vector(0.,0.,0.)) else: translation = Transformation.Translation(translation) self.transformation = translation*rotation self.reference_point = reference_point attribute_names = VRMLObject.attribute_names + ['material', 'reuse'] def __add__(self, other): return Group([self]) + Group([other]) def writeToFile(self, file): comment = self['comment'] if comment is not None: file.writeString('# ' + comment + '\n') file.writeString('TransformSeparator {\n') vector = self.transformation.translation().displacement() axis, angle = self.transformation.rotation().axisAndAngle() trans_flag = vector.length() > 1.e-4 rot_flag = abs(angle) > 1.e-4 if trans_flag and rot_flag: file.writeString('Transform{translation ' + `vector[0]` + ' ' + \ `vector[1]` + ' ' + `vector[2]` + \ ' rotation ' + `axis[0]` + ' ' + `axis[1]` + ' ' + `axis[2]` + ' ' + `angle` + '}\n') elif trans_flag: file.writeString('Translation{translation ' + `vector[0]` + ' ' + \ `vector[1]` + ' ' + `vector[2]` + '}\n') elif rot_flag: file.writeString('Rotation{rotation ' + `axis[0]` + ' ' + \ `axis[1]` + ' ' + `axis[2]` + ' ' + \ `angle` + '}\n') material = self['material'] reuse = self['reuse'] if reuse: key = self.memoKey() + (material, self.__class__) if file.memo.has_key(key): file.writeString('USE ' + file.memo[key] + '\n') self.use(file) if material is not None: material.use(file) else: name = file.uniqueName() file.memo[key] = name file.writeString('DEF ' + name + ' Group{\n') if material is not None: material.writeToFile(file) self.writeSpecification(file) file.writeString('}\n') else: if material is not None: material.writeToFile(file) self.writeSpecification(file) file.writeString('}\n') def use(self, file): pass class Sphere(ShapeObject): """Sphere Constructor: Sphere(|center|, |radius|, **|attributes|) Arguments: |center| -- the center of the sphere (a vector) |radius| -- the sphere radius (a positive number) |attributes| -- any graphics object attribute """ def __init__(self, center, radius, **attr): self.radius = radius ShapeObject.__init__(self, attr, None, center, center) def writeSpecification(self, file): file.writeString('Sphere{radius ' + `self.radius` + '}\n') def memoKey(self): return (self.radius, ) class Cube(ShapeObject): """Cube Constructor: Cube(|center|, |edge|, **|attributes|) Arguments: |center| -- the center of the cube (a vector) |edge| -- the length of an edge (a positive number) |attributes| -- any graphics object attribute The edges of a cube are always parallel to the coordinate axes. """ def __init__(self, center, edge, **attr): self.edge = edge ShapeObject.__init__(self, attr, None, center, center) def writeSpecification(self, file): file.writeString('Cube{width ' + `self.edge` + \ ' height ' + `self.edge` + \ ' depth ' + `self.edge` + '}\n') def memoKey(self): return (self.edge, ) class LinearOrientedObject(ShapeObject): def __init__(self, attr, point1, point2): center = 0.5*(point1+point2) axis = point2-point1 self.height = axis.length() if self.height > 0: axis = axis/self.height rot_axis = VectorModule.ey.cross(axis) sine = rot_axis.length() cosine = VectorModule.ey*axis angle = Transformation.angleFromSineAndCosine(sine, cosine) if abs(angle) < 1.e-4 or abs(angle-2.*Numeric.pi) < 1.e-4: rotation = None else: if abs(sine) < 1.e-4: rot_axis = VectorModule.ex rotation = (rot_axis, angle) else: rotation = None ShapeObject.__init__(self, attr, rotation, center, center) class Cylinder(LinearOrientedObject): """Cylinder Constructor: Cylinder(|point1|, |point2|, |radius|, |faces|='(1, 1, 1)', **|attributes|) Arguments: |point1|, |point2| -- the end points of the cylinder axis (vectors) |radius| -- the radius (a positive number) |attributes| -- any graphics object attribute |faces| -- a sequence of three boolean flags, corresponding to the cylinder hull and the two circular end pieces, specifying for each of these parts whether it is visible or not. """ def __init__(self, point1, point2, radius, faces = (1, 1, 1), **attr): self.faces = faces self.radius = radius LinearOrientedObject.__init__(self, attr, point1, point2) def writeSpecification(self, file): file.writeString('Cylinder{parts ') if self.faces == (1,1,1): file.writeString('ALL') else: plist=[] if self.faces[0]: plist.append('SIDES') if self.faces[1]: plist.append('BOTTOM') if self.faces[2]: plist.append('TOP') if plist: file.writeString( '(' + string.join(plist,'|') + ')' ) file.writeString(' radius ' + `self.radius` + \ ' height ' + `self.height` + '}\n') def memoKey(self): return (self.radius, self.height, self.faces) class Cone(LinearOrientedObject): """Cone Constructor: Cone(|point1|, |point2|, |radius|, |face|='1', **|attributes|) Arguments: |point1|, |point2| -- the end points of the cylinder axis (vectors). |point1| is the tip of the cone. |radius| -- the radius (a positive number) |attributes| -- any graphics object attribute |face| -- a boolean flag, specifying if the circular bottom is visible """ def __init__(self, point1, point2, radius, face = 1, **attr): self.face = face self.radius = radius LinearOrientedObject.__init__(self, attr, point2, point1) def writeSpecification(self, file): file.writeString('Cone{parts ') if self.face: file.writeString('ALL') else: file.writeString('SIDES') file.writeString(' bottomRadius ' + `self.radius` + \ ' height ' + `self.height` + '}\n') def memoKey(self): return (self.radius, self.height, self.face) class Line(ShapeObject): """Line Constructor: Line(|point1|, |point2|, **|attributes|) Arguments: |point1|, |point2| -- the end points of the line (vectors) |attributes| -- any graphics object attribute """ def __init__(self, point1, point2, **attr): self.points = (point1, point2) center = 0.5*(point1+point2) ShapeObject.__init__(self, attr, None, None, center) def writeSpecification(self, file): file.writeString('Coordinate3{point [' + \ `self.points[0][0]` + ' ' + `self.points[0][1]` + \ ' ' + `self.points[0][2]` + ',' + \ `self.points[1][0]` + ' ' + `self.points[1][1]` + \ ' ' + `self.points[1][2]` + \ ']}IndexedLineSet{coordIndex[0,1,-1]}\n') def memoKey(self): return tuple(self.points[0]) + tuple(self.points[1]) class PolyLines(ShapeObject): """Multiple connected lines Constructor: PolyLines(|points|, **|attributes|) Arguments: |points| -- a sequence of points to be connected by lines |attributes| -- any graphics object attribute """ def __init__(self, points, **attr): self.points = points ShapeObject.__init__(self, attr, None, None, Vector(0., 0., 0.)) def writeSpecification(self, file): s = 'Coordinate3{point [' for p in self.points: s = s + `p[0]` + ' ' + `p[1]` + ' ' + `p[2]` + ',' file.writeString(s[:-1] + ']}IndexedLineSet{coordIndex') file.writeString(`range(len(self.points))+[-1]` + '}\n') def memoKey(self): return tuple(map(tuple, self.points)) class Polygons(ShapeObject): """Polygons Constructor: Polygons(|points|, |index_lists|, **|attributes|) Arguments: |points| -- a sequence of points |index_lists| -- a sequence of index lists, one for each polygon. The index list for a polygon defines which points in |points| are vertices of the polygon. |attributes| -- any graphics object attribute """ def __init__(self, points, index_lists, **attr): self.points = points self.index_lists = index_lists ShapeObject.__init__(self, attr, None, None, Vector(0.,0.,0.)) def writeSpecification(self, file): file.writeString('Coordinate3{point [') for v in self.points[:-1]: file.writeString(`v[0]` + ' ' + `v[1]` + ' ' + `v[2]` + ',') v = self.points[-1] file.writeString(`v[0]` + ' ' + `v[1]` + ' ' + `v[2]` + \ ']}IndexedFaceSet{coordIndex[') for polygon in self.index_lists: for index in polygon: file.writeString(`index`+',') file.writeString('-1,') file.writeString(']}\n') def memoKey(self): return (tuple(map(tuple, self.points)), tuple(map(tuple, self.index_lists))) # # Groups # class Group: def __init__(self, objects, **attr): self.objects = [] for o in objects: if isGroup(o): self.objects = self.objects + o.objects else: self.objects.append(o) for key, value in attr.items(): for o in self.objects: o[key] = value is_group = 1 def __len__(self): return len(self.objects) def __getitem__(self, item): return self.object[item] def __coerce__(self, other): if not isGroup(other): other = Group([other]) return (self, other) def __add__(self, other): return Group(self.objects + other.objects) def writeToFile(self, file): for o in self.objects: o.writeToFile(file) def isGroup(x): return hasattr(x, 'is_group') # # Composite Objects # class Arrow(Group): """Arrow An arrow consists of a cylinder and a cone. Constructor: Arrow(|point1|, |point2|, |radius|, **|attributes|) Arguments: |point1|, |point2| -- the end points of the arrow (vectors). |point2| defines the tip of the arrow. |radius| -- the radius of the arrow shaft (a positive number) |attributes| -- any graphics object attribute """ def __init__(self, point1, point2, radius, **attr): axis = point2-point1 height = axis.length() axis = axis/height cone_height = min(height, 4.*radius) cylinder_height = height - cone_height junction = point2-axis*cone_height cone = apply(Cone, (point2, junction, 0.75*cone_height), attr) objects = [cone] if cylinder_height > 0.005*radius: cylinder = apply(Cylinder, (point1, junction, radius), attr) objects.append(cylinder) Group.__init__(self, objects) # # Materials # class Material(VRMLObject): """Material for graphics objects A material defines the color and surface properties of an object. Constructor: Material(**|attributes|) The attributes are "ambient_color", "diffuse_color", "specular_color", "emissive_color", "shininess", and "transparency". """ def __init__(self, **attr): VRMLObject.__init__(self, attr) attribute_names = VRMLObject.attribute_names + \ ['ambient_color', 'diffuse_color', 'specular_color', 'emissive_color', 'shininess', 'transparency'] attribute_conversion = {'ambient_color': 'ambientColor', 'diffuse_color': 'diffuseColor', 'specular_color': 'specularColor', 'emissive_color': 'emissiveColor', 'shininess': 'shininess', 'transparency': 'transparency'} def writeToFile(self, file): try: last = file.memo['material'] if last == self: return except KeyError: pass if file.memo.has_key(self): file.writeString('USE ' + file.memo[self] + '\n') else: name = file.uniqueName() file.memo[self] = name file.writeString('DEF ' + name + ' Material{\n') for key, value in self.attr.items(): file.writeString(self.attribute_conversion[key] + ' ' + \ str(value) + '\n') file.writeString('}\n') file.memo['material'] = self def use(self, file): file.memo['material'] = self # # Predefined materials # def DiffuseMaterial(color): "Returns a material with the 'diffuse color' attribute set to |color|." if type(color) is type(''): color = ColorByName(color) try: return diffuse_material_dict[color] except KeyError: m = Material(diffuse_color = color) diffuse_material_dict[color] = m return m diffuse_material_dict = {} def EmissiveMaterial(color): "Returns a material with the 'emissive color' attribute set to |color|." if type(color) is type(''): color = ColorByName(color) try: return emissive_material_dict[color] except KeyError: m = Material(emissive_color = color) emissive_material_dict[color] = m return m emissive_material_dict = {} # # Test code # if __name__ == '__main__': if 1: spheres = DiffuseMaterial('brown') links = DiffuseMaterial('orange') s1 = Sphere(VectorModule.null, 0.05, material = spheres, reuse = 1) s2 = Sphere(VectorModule.ex, 0.05, material = spheres, reuse = 1) s3 = Sphere(VectorModule.ey, 0.05, material = spheres, reuse = 1) s4 = Sphere(VectorModule.ez, 0.05, material = spheres, reuse = 1) a1 = Arrow(VectorModule.null, VectorModule.ex, 0.01, material = links) a2 = Arrow(VectorModule.null, VectorModule.ey, 0.01, material = links) a3 = Arrow(VectorModule.null, VectorModule.ez, 0.01, material = links) scene = Scene([s1, s2, s3, s4, a1, a2, a3]) scene.view() if 0: scene = Scene([]) scale = ColorScale(10.) for x in range(11): color = scale(x) m = Material(diffuse_color = color) scene.addObject(Cube(Vector(x,0.,0.), 0.2, material=m)) scene.view() if 0: points = [Vector(0., 0., 0.), Vector(0., 1., 0.), Vector(1., 1., 0.), Vector(1., 0., 0.), Vector(1., 0., 1.), Vector(1., 1., 1.)] indices = [[0, 1, 2, 3, 0], [3, 4, 5, 2, 3]] scene = Scene(Polygons(points, indices, material=DiffuseMaterial('blue'))) scene.view() if 0: points = [Vector(0., 0., 0.), Vector(0., 1., 0.), Vector(1., 1., 0.), Vector(1., 0., 0.), Vector(1., 0., 1.), Vector(1., 1., 1.)] scene = Scene(PolyLines(points, material = DiffuseMaterial('black'))) scene.view()