import math import numpy as np from time import time import os try: import webgui_jupyter_widgets from webgui_jupyter_widgets import BaseWebGuiScene, WebGuiDocuWidget import webgui_jupyter_widgets.widget as wg except ImportError: wg = None def encodeData( data, dtype=None, encoding='b64' ): import numpy as np from base64 import b64encode dtype = dtype or data.dtype values = np.array(data.flatten(), dtype=dtype) if encoding=='b64': return b64encode(values).decode("ascii") elif encoding=='binary': return values.tobytes() else: raise RuntimeError("unknown encoding" + str(encoding)) from packaging.version import parse import netgen.meshing as ng if wg is not None and parse(webgui_jupyter_widgets.__version__) >= parse("0.2.18"): _default_width = None _default_height = None else: _default_width = "100%" _default_height = "50vh" _registered_draw_types = {} def register_draw_type(*types): def inner(func): for typ in types: _registered_draw_types[typ] = func return inner _bernstein_cache = {} def GetIBernsteinBasis(etype, order): if (etype, order) in _bernstein_cache: return _bernstein_cache[(etype, order)] bvals = None if etype == "segment": def Binomial(n, i): return math.factorial(n) / math.factorial(i) / math.factorial(n - i) def Bernstein(x, i, n): return Binomial(n, i) * x**i * (1 - x) ** (n - i) bvals = np.zeros( (order + 1, order + 1), dtype=float ) # .Matrix(order+1,order+1) for i in range(order + 1): for j in range(order + 1): bvals[i, j] = Bernstein(i / order, j, order) if etype == "trig": def BernsteinTrig(x, y, i, j, n): return ( math.factorial(n) / math.factorial(i) / math.factorial(j) / math.factorial(n - i - j) * x**i * y**j * (1 - x - y) ** (n - i - j) ) og = order ndtrig = int((og + 1) * (og + 2) / 2) bvals = np.zeros((ndtrig, ndtrig)) ii = 0 for ix in range(og + 1): for iy in range(og + 1 - ix): jj = 0 for jx in range(og + 1): for jy in range(og + 1 - jx): bvals[ii, jj] = BernsteinTrig(ix / og, iy / og, jx, jy, og) jj += 1 ii += 1 if bvals is None: raise RuntimeError(f"Unkown element type {etype}") ibvals = _bernstein_cache[(etype, order)] = np.linalg.inv(bvals) return ibvals def GetWireframePoints(etype, order): n = order if etype == "trig": return np.array( [(i / n, 0) for i in range(n + 1)] + [(0, i / n) for i in range(n + 1)] + [(i / n, 1.0 - i / n) for i in range(n + 1)] ) if etype == "quad": return np.array( [(i / n, 0) for i in range(n + 1)] + [(0, i / n) for i in range(n + 1)] + [(i / n, 1.0) for i in range(n + 1)] + [(1.0, i / n) for i in range(n + 1)] ) raise RuntimeError(f"Unknown element type {etype}") def GetElementPoints(etype, order): n = order if etype == "trig": return np.array( [(i / n, j / n) for j in range(n + 1) for i in range(n + 1 - j)] ) if etype == "quad": return np.array( [(i / n, j / n) for j in range(n + 1) for i in range(n + 1 - j)] + [(1 - i / n, 1 - j / n) for j in range(n + 1) for i in range(n + 1 - j)] ) raise RuntimeError(f"Unknown element type {etype}") def MapBernstein(pnts, etype, order): """ Maps function values at equidistant control points to the Bernstein basis function. Parameters: pnts (numpy.ndarray): The input control points with shape (number_of_elements, points_per_element, function_dimension) point_per_element must be a multiple of the basis size etype (str): Element type (currently ignored and trig assumed) order (int): Polynomial order Returns: numpy.ndarray: The mapped points with the shape (points_per_element, number_of_elements, function_dimension) """ ibvals = GetIBernsteinBasis(etype, order) # for wireframe or subdivided elements, we have multiple point sets per element # so do a reshape to simulate more elements with correct number of control points per element instead if pnts.shape[1] != ibvals.shape[0]: pnts = pnts.reshape((-1, ibvals.shape[0], pnts.shape[2])) points = np.zeros(pnts.shape, dtype=np.float32).transpose(1, 0, 2) for i in range(points.shape[2]): points[:, :, i] = np.tensordot(ibvals, pnts[:, :, i], axes=(1, 1)) return points @register_draw_type(ng.Mesh) def GetData(mesh, args, kwargs): d = {} d["gui_settings"] = kwargs["settings"] d["mesh_dim"] = mesh.dim pmin, pmax = mesh.bounding_box diag = pmax - pmin pmid = pmin + 0.5 * diag d["mesh_center"] = [pmid[i] for i in range(3)] d["mesh_radius"] = diag.Norm() d["funcdim"] = 0 d["show_mesh"] = True d["draw_surf"] = True d["funcmin"] = 0.0 d["funcmax"] = 1.0 # Generate surface element data # webgui code assumes 4 scalar fields (x,y,z, mesh_index) # TODO: other element types than trigs order = kwargs["order"] refpts = GetElementPoints("trig", order) pnts = np.ndarray((len(mesh.Elements2D()), refpts.shape[0], 4)) mesh.CalcElementMapping(refpts, pnts) # set mesh_index for i, el in enumerate(mesh.Elements2D()): pnts[i, :, 3] = el.index - 1 fds = mesh.FaceDescriptors() d["colors"] = [fd.color +(fd.transparency,) for fd in fds] d["mesh_regions_2d"] = len(fds) d["names"] = [fd.bcname for fd in fds] d["Bezier_trig_points"] = MapBernstein(pnts, "trig", order) d["order2d"] = order # Generate wireframe data refpts = GetWireframePoints("trig", order) pnts = np.ndarray((len(mesh.Elements2D()), refpts.shape[0], 4)) mesh.CalcElementMapping(refpts, pnts) d["Bezier_points"] = MapBernstein(pnts, "segment", order) d["show_wireframe"] = True # TODO: Generate edge data d["edges"] = [] # encode data as b64 for name in ["Bezier_trig_points", "edges", "Bezier_points"]: pnew = [] for plist in d[name]: pnew.append(encodeData(np.array(plist, dtype=np.float32))) d[name] = pnew return d base = object if wg is None else BaseWebGuiScene class WebGLScene(base): def __init__(self, obj, args=[], kwargs={}): self.obj = obj self.args = args self.kwargs = kwargs self.encoding = "b64" def Redraw(self, *args, **kwargs): if args or kwargs: if 'show' not in kwargs: kwargs['show'] = False new_scene = Draw(*args, **kwargs) self.obj = new_scene.obj self.args = new_scene.args self.kwargs = new_scene.kwargs super().Redraw() def GetData(self, set_minmax=True): self.kwargs["encoding"] = self.encoding typ = type(self.obj) d = None if type(self.obj) in _registered_draw_types: d = _registered_draw_types[typ](self.obj, self.args, self.kwargs) else: import inspect for t in inspect.getmro(typ): if t in _registered_draw_types: d = _registered_draw_types[t](self.obj, self.args, self.kwargs) break if d is None and hasattr(self.obj, "_webgui_data"): d = self.obj._webgui_data() bp = d["Bezier_trig_points"] for i in range(len(bp)): bp[i] = encodeData(np.array(bp[i], dtype=np.float32)) ep = d["edges"] for i in range(len(ep)): ep[i] = encodeData(np.array(ep[i], dtype=np.float32)) if d is None: raise RuntimeError(f"Cannot draw object of type {typ}") args = self.args kwargs = self.kwargs if "clipping" in kwargs: clipping = kwargs["clipping"] d["clipping"] = True if isinstance(clipping, dict): allowed_args = ("x", "y", "z", "dist", "function", "pnt", "vec") if "vec" in clipping: vec = clipping["vec"] clipping["x"] = vec[0] clipping["y"] = vec[1] clipping["z"] = vec[2] if "pnt" in clipping: d["mesh_center"] = list(clipping["pnt"]) for name, val in clipping.items(): if not (name in allowed_args): raise Exception( "Only {} allowed as arguments for clipping!".format( ", ".join(allowed_args) ) ) d["clipping_" + name] = val if "js_code" in kwargs: d["on_init"] = kwargs["js_code"] if "min" in kwargs: d["funcmin"] = kwargs["min"] if "max" in kwargs: d["funcmax"] = kwargs["max"] d["autoscale"] = kwargs["autoscale"] if "vectors" in kwargs: d["vectors"] = True if isinstance(kwargs["vectors"], dict): for name, val in kwargs["vectors"].items(): if not (name in ("grid_size", "offset")): raise Exception( 'Only "grid_size" and "offset" allowed as arguments for vectors!' ) d["vectors_" + name] = val if "eval_function" in kwargs: d["user_eval_function"] = kwargs["eval_function"] # see shaders/utils.h for value explanation (function_mode) if "eval_" in kwargs: eval_ = kwargs["eval"] if isinstance(eval_, int): d["eval"] = eval_ elif eval_ == "norm": d["eval"] = 3 elif eval_ == "real": d["eval"] = 5 elif eval_ == "imag": d["eval"] = 6 if "fullscreen" in kwargs: d["fullscreen"] = kwargs["fullscreen"] if "gui_settings" not in d: d["gui_settings"] = self.kwargs["settings"] if "euler_angles" in kwargs: camera = d["gui_settings"].get("camera", {}) camera["euler_angles"] = kwargs["euler_angles"] d["gui_settings"]['camera'] = camera d["objects"] = [] for obj in kwargs["objects"]: if isinstance(obj, dict): d["objects"].append(obj) else: d["objects"].append(obj._GetWebguiData()) if 'center' in kwargs: center = list(kwargs['center']) if len(center) == 2: center.append(0.) d["mesh_center"] = center if 'radius' in kwargs: d["mesh_radius"] = kwargs['radius'] return d bezier_trig_trafos = {} # cache trafos for different orders # def Draw(shape, clipping=None, js_code=None, filename=""): # # todo: also handle occ geometry, list of shapes, etc. # scene = WebGLScene(shape, clipping=clipping, on_init=js_code) # if wg._IN_IPYTHON: # if wg._IN_GOOGLE_COLAB: # from IPython.display import display, HTML # html = scene.GenerateHTML() # display(HTML(html)) # else: # # render scene using widgets.DOMWidget # scene.Draw() # return scene # else: # if filename: # scene.GenerateHTML(filename=filename) # return scene def _get_draw_default_args(): return dict( name="function", order=2, draw_vol=True, draw_surf=True, autoscale=True, deformation=False, interpolate_multidim=False, animate=False, objects=[], nodal_p1=False, settings={}, fullscreen=False, scale=1.0, width=_default_width, height=_default_height, ) def Draw(obj, *args, show=True, **kwargs): kwargs_with_defaults = _get_draw_default_args() kwargs_with_defaults.update(kwargs) scene = WebGLScene(obj, args, kwargs_with_defaults) if show and wg is not None and wg._IN_IPYTHON: if wg._IN_GOOGLE_COLAB: from IPython.display import display, HTML html = scene.GenerateHTML() display(HTML(html)) return else: import webgui_jupyter_widgets as wjw from packaging.version import parse # render scene using widgets.DOMWidget if parse(wjw.__version__) < parse("0.2.15"): scene.Draw() else: scene.Draw( kwargs_with_defaults["width"], kwargs_with_defaults["height"] ) if "filename" in kwargs_with_defaults: scene.GenerateHTML(filename=kwargs_with_defaults["filename"]) return scene def _DrawDocu(obj, *args, **kwargs): kwargs_with_defaults = _get_draw_default_args() kwargs_with_defaults.update(kwargs) scene = WebGLScene(obj, args, kwargs_with_defaults) import json docu_path = os.environ["NETGEN_DOCUMENTATION_OUT_DIR"] src_path = os.environ["NETGEN_DOCUMENTATION_SRC_DIR"] cwd_path = os.path.abspath(".") rel_path = os.path.relpath(".", src_path) path = os.path.join(docu_path, rel_path) if not os.path.exists(path): os.makedirs(path) counter_file = os.path.join(docu_path, ".counter") if os.path.exists(counter_file): file_counter = int(open(counter_file, "r").read()) + 1 else: file_counter = 0 open(counter_file, "w").write(str(file_counter)) data_file = "render_data_{}.json".format(file_counter) data_file_abs = os.path.join(path, data_file) preview_file = "preview_{}.png".format(file_counter) preview_file_abs = os.path.join(path, preview_file) widget = WebGuiDocuWidget() widget.value = {"render_data": data_file, "preview": preview_file} scene.widget = widget data = scene.GetData() json.dump(data, open(data_file_abs, "w")) scene.MakeScreenshot(preview_file_abs, 1200, 600) scene.Redraw = lambda: None from IPython.display import display, HTML display(widget) return scene if "NETGEN_DOCUMENTATION_SRC_DIR" in os.environ: # we are buiding the documentation, some things are handled differently: # 1) Draw() is generating a .png (using headless chromium via selenium) and a render_data.json # to show a preview image and load the render_data only when requested by user # 2) return a NGSDocuWebGuiWidget instead of NGSWebGuiWidget implementing the preview/load on demand of webgui _Draw = Draw Draw = _DrawDocu