X-Git-Url: https://scm.cri.ensmp.fr/git/linpy.git/blobdiff_plain/843dede1d98c459f9761abff5877e0b019fa0155..5eca735504be3b7c301e2a1fa37712eb88b4ec64:/pypol/domains.py diff --git a/pypol/domains.py b/pypol/domains.py index 23c21af..cdf2de4 100644 --- a/pypol/domains.py +++ b/pypol/domains.py @@ -304,20 +304,13 @@ class Domain(GeometricObject): islset = libisl.isl_set_lexmax(islset) return self._fromislset(islset, self.symbols) - def num_parameters(self): - """ - Return the total number of parameters, input, output or set dimensions. - """ - islbset = self._toislbasicset(self.equalities, self.inequalities, self.symbols) - num = libisl.isl_basic_set_dim(islbset, libisl.isl_dim_set) - return num - def involves_dims(self, dims): + def involves_vars(self, vars): """ - Returns true if set depends on given dimensions. + Returns true if a set depends on given dimensions. """ islset = self._toislset(self.polyhedra, self.symbols) - dims = sorted(dims) + dims = sorted(vars) symbols = sorted(list(self.symbols)) n = 0 if len(dims)>0: @@ -392,7 +385,7 @@ class Domain(GeometricObject): coordinates[symbol] = coordinate points.append(Point(coordinates)) return points - + @classmethod def _polygon_inner_point(cls, points): symbols = points[0].symbols @@ -445,37 +438,41 @@ class Domain(GeometricObject): return sorted(points, key=angles.get) def faces(self): - vertices = self.vertices() + """ + Returns the vertices of the faces of a polyhedra. + """ faces = [] - for constraint in self.constraints: - face = [] - for vertex in vertices: - if constraint.subs(vertex.coordinates()) == 0: - face.append(vertex) - faces.append(face) + for polyhedron in self.polyhedra: + vertices = polyhedron.vertices() + for constraint in polyhedron.constraints: + face = [] + for vertex in vertices: + if constraint.subs(vertex.coordinates()) == 0: + face.append(vertex) + if len(face) >= 3: + faces.append(face) return faces def _plot_2d(self, plot=None, **kwargs): import matplotlib.pyplot as plt from matplotlib.patches import Polygon + if plot is None: + fig = plt.figure() + plot = fig.add_subplot(1, 1, 1) + xmin, xmax = plot.get_xlim() + ymin, ymax = plot.get_ylim() for polyhedron in self.polyhedra: vertices = polyhedron._sort_polygon_2d(polyhedron.vertices()) xys = [tuple(vertex.values()) for vertex in vertices] - if plot is None: - fig = plt.figure() - plot = fig.add_subplot(1, 1, 1) - xmin, xmax = plot.get_xlim() - ymin, ymax = plot.get_xlim() xs, ys = zip(*xys) xmin, xmax = min(xmin, float(min(xs))), max(xmax, float(max(xs))) ymin, ymax = min(ymin, float(min(ys))), max(ymax, float(max(ys))) - plot.set_xlim(xmin, xmax) - plot.set_ylim(ymin, ymax) plot.add_patch(Polygon(xys, closed=True, **kwargs)) + plot.set_xlim(xmin, xmax) + plot.set_ylim(ymin, ymax) return plot def _plot_3d(self, plot=None, **kwargs): - from .polyhedra import Polyhedron import matplotlib.pyplot as plt from mpl_toolkits.mplot3d import Axes3D from mpl_toolkits.mplot3d.art3d import Poly3DCollection @@ -485,33 +482,33 @@ class Domain(GeometricObject): else: axes = plot xmin, xmax = axes.get_xlim() - ymin, ymax = axes.get_xlim() - zmin, zmax = axes.get_xlim() + ymin, ymax = axes.get_ylim() + zmin, zmax = axes.get_zlim() poly_xyzs = [] - for polyhedron in self.polyhedra: - for vertices in polyhedron.faces(): - if len(vertices) == 0: - continue - vertices = Polyhedron._sort_polygon_3d(vertices) - vertices.append(vertices[0]) - face_xyzs = [tuple(vertex.values()) for vertex in vertices] - xs, ys, zs = zip(*face_xyzs) - xmin, xmax = min(xmin, float(min(xs))), max(xmax, float(max(xs))) - ymin, ymax = min(ymin, float(min(ys))), max(ymax, float(max(ys))) - zmin, zmax = min(zmin, float(min(zs))), max(zmax, float(max(zs))) - poly_xyzs.append(face_xyzs) - collection = Poly3DCollection(poly_xyzs, **kwargs) - axes.add_collection3d(collection) - axes.set_xlim(xmin, xmax) - axes.set_ylim(ymin, ymax) - axes.set_zlim(zmin, zmax) + for vertices in self.faces(): + vertices = self._sort_polygon_3d(vertices) + vertices.append(vertices[0]) + face_xyzs = [tuple(vertex.values()) for vertex in vertices] + xs, ys, zs = zip(*face_xyzs) + xmin, xmax = min(xmin, float(min(xs))), max(xmax, float(max(xs))) + ymin, ymax = min(ymin, float(min(ys))), max(ymax, float(max(ys))) + zmin, zmax = min(zmin, float(min(zs))), max(zmax, float(max(zs))) + poly_xyzs.append(face_xyzs) + collection = Poly3DCollection(poly_xyzs, **kwargs) + axes.add_collection3d(collection) + axes.set_xlim(xmin, xmax) + axes.set_ylim(ymin, ymax) + axes.set_zlim(zmin, zmax) return axes + def plot(self, plot=None, **kwargs): """ Display plot of this set. """ - if self.dimension == 2: + if not self.isbounded(): + raise ValueError('domain must be bounded') + elif self.dimension == 2: return self._plot_2d(plot=plot, **kwargs) elif self.dimension == 3: return self._plot_3d(plot=plot, **kwargs) @@ -525,6 +522,10 @@ class Domain(GeometricObject): return False def subs(self, symbol, expression=None): + """ + Subsitute the given value into an expression and return the resulting + expression. + """ polyhedra = [polyhedron.subs(symbol, expression) for polyhedron in self.polyhedra] return Domain(*polyhedra)