mirror of
https://github.com/NGSolve/netgen.git
synced 2024-09-22 09:42:50 +05:00
251 lines
8.8 KiB
Python
251 lines
8.8 KiB
Python
import math
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import numpy as np
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from time import time
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import os
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from webgui_jupyter_widgets import BaseWebGuiScene, encodeData, WebGuiDocuWidget
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import webgui_jupyter_widgets.widget as wg
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class WebGLScene(BaseWebGuiScene):
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def __init__(self, mesh, clipping, on_init):
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from IPython.display import display, Javascript
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import threading
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self.mesh = mesh
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self.clipping = clipping
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self.on_init = on_init
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def GetData(self, set_minmax=True):
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import json
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# d = BuildRenderData(self.mesh, self.cf, self.order, draw_surf=self.draw_surf, draw_vol=self.draw_vol, deformation=self.deformation, region=self.region)
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d = self.mesh._webgui_data()
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bp = d['Bezier_trig_points']
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for i in range(len(bp)):
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bp[i] = encodeData(np.array(bp[i], dtype=np.float32))
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ep = d['edges']
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for i in range(len(ep)):
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ep[i] = encodeData(np.array(ep[i], dtype=np.float32))
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if self.clipping is not None:
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d['clipping'] = True
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if isinstance(self.clipping, dict):
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allowed_args = ("x", "y", "z", "dist", "function", "pnt", "vec")
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if "vec" in self.clipping:
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vec = self.clipping["vec"]
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self.clipping["x"] = vec[0]
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self.clipping["y"] = vec[1]
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self.clipping["z"] = vec[2]
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if "pnt" in self.clipping:
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d['mesh_center'] = list(self.clipping["pnt"])
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for name, val in self.clipping.items():
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if not (name in allowed_args):
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raise Exception('Only {} allowed as arguments for clipping!'.format(", ".join(allowed_args)))
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d['clipping_' + name] = val
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if self.on_init:
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d['on_init'] = self.on_init
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return d
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bezier_trig_trafos = { } # cache trafos for different orders
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def BuildRenderData(mesh, func, order=2, draw_surf=True, draw_vol=True, deformation=None, region=True):
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d = {}
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d['ngsolve_version'] = "Netgen"
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d['mesh_dim'] = 3 # mesh.dim TODO
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d['order2d'] = 1
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d['order3d'] = 0
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d['draw_vol'] = False
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d['draw_surf'] = True
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d['funcdim'] = 1
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func2 = None
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if func and func.is_complex:
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d['is_complex'] = True
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func1 = func[0].real
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func2 = ngs.CoefficientFunction( (func[0].imag, 0.0) )
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elif func and func.dim>1:
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func1 = func[0]
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func2 = ngs.CoefficientFunction( tuple(func[i] if i<func.dim else 0.0 for i in range(1,3)) ) # max 3-dimensional functions
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d['funcdim'] = func.dim
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elif func:
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func1 = func
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d['funcdim'] = 1
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else:
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# no function at all -> we are just drawing a mesh, eval mesh element index instead
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mats = mesh.GetMaterials()
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bnds = mesh.GetBoundaries()
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nmats = len(mesh.GetMaterials())
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nbnds = len(mesh.GetBoundaries())
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n = max(nmats, nbnds)
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func1 = ngs.CoefficientFunction(list(range(n)))
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n_regions = [0, 0, nmats, nbnds]
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d['mesh_regions_2d'] = n_regions[mesh.dim]
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d['mesh_regions_3d'] = nmats if mesh.dim==3 else 0
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d['funcdim'] = 0
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func1 = ngs.CoefficientFunction( (ngs.x, ngs.y, ngs.z, func1 ) )
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func0 = ngs.CoefficientFunction( (ngs.x, ngs.y, ngs.z, 0.0 ) )
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if deformation is not None:
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func1 += ngs.CoefficientFunction((deformation, 0.0))
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func0 += ngs.CoefficientFunction((deformation, 0.0))
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d['show_wireframe'] = False
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d['show_mesh'] = True
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if order2d>0:
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og = order2d
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d['show_wireframe'] = True
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d['show_mesh'] = True
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timer2.Start()
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timer3Bvals.Start()
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# transform point-values to Bernsteinbasis
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def Binomial(n,i): return math.factorial(n) / math.factorial(i) / math.factorial(n-i)
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def Bernstein(x, i, n): return Binomial(n,i) * x**i*(1-x)**(n-i)
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Bvals = ngs.Matrix(og+1,og+1)
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for i in range(og+1):
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for j in range(og+1):
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Bvals[i,j] = Bernstein(i/og, j, og)
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iBvals = Bvals.I
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timer3Bvals.Stop()
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# print (Bvals)
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# print (iBvals)
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Bezier_points = []
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ipts = [(i/og,0) for i in range(og+1)] + [(0, i/og) for i in range(og+1)] + [(i/og,1.0-i/og) for i in range(og+1)]
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ir_trig = ngs.IntegrationRule(ipts, [0,]*len(ipts))
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ipts = [(i/og,0) for i in range(og+1)] + [(0, i/og) for i in range(og+1)] + [(i/og,1.0) for i in range(og+1)] + [(1.0, i/og) for i in range(og+1)]
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ir_quad = ngs.IntegrationRule(ipts, [0,]*len(ipts))
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vb = [ngs.VOL, ngs.BND][mesh.dim-2]
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if region and region.VB() == vb:
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vb = region
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cf = func1 if draw_surf else func0
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timer2map.Start()
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pts = mesh.MapToAllElements({ngs.ET.TRIG: ir_trig, ngs.ET.QUAD: ir_quad}, vb)
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timer2map.Stop()
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pmat = cf(pts)
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timermult.Start()
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pmat = pmat.reshape(-1, og+1, 4)
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if False:
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BezierPnts = np.tensordot(iBvals.NumPy(), pmat, axes=(1,1))
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else:
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BezierPnts = np.zeros( (og+1, pmat.shape[0], 4) )
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for i in range(4):
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ngsmat = ngs.Matrix(pmat[:,:,i].transpose())
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BezierPnts[:,:,i] = iBvals * ngsmat
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timermult.Stop()
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timer2list.Start()
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for i in range(og+1):
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Bezier_points.append(encodeData(BezierPnts[i], dtype=np.float32))
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timer2list.Stop()
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d['Bezier_points'] = Bezier_points
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ipts = [(i/og,0) for i in range(og+1)]
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ir_seg = ngs.IntegrationRule(ipts, [0,]*len(ipts))
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vb = [ngs.VOL, ngs.BND, ngs.BBND][mesh.dim-1]
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if region and region.VB() == vb:
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vb = region
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pts = mesh.MapToAllElements(ir_seg, vb)
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pmat = func0(pts)
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pmat = pmat.reshape(-1, og+1, 4)
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edge_data = np.tensordot(iBvals.NumPy(), pmat, axes=(1,1))
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edges = []
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for i in range(og+1):
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edges.append(encodeData(edge_data[i], dtype=np.float32))
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d['edges'] = edges
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ndtrig = int((og+1)*(og+2)/2)
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if og in bezier_trig_trafos.keys():
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iBvals_trig = bezier_trig_trafos[og]
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else:
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def BernsteinTrig(x, y, i, j, n):
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return math.factorial(n)/math.factorial(i)/math.factorial(j)/math.factorial(n-i-j) \
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* x**i*y**j*(1-x-y)**(n-i-j)
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Bvals = ngs.Matrix(ndtrig, ndtrig)
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ii = 0
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for ix in range(og+1):
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for iy in range(og+1-ix):
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jj = 0
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for jx in range(og+1):
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for jy in range(og+1-jx):
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Bvals[ii,jj] = BernsteinTrig(ix/og, iy/og, jx, jy, og)
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jj += 1
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ii += 1
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iBvals_trig = Bvals.I
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bezier_trig_trafos[og] = iBvals_trig
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# Bezier_points = [ [] for i in range(ndtrig) ]
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Bezier_points = []
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ipts = [(i/og,j/og) for j in range(og+1) for i in range(og+1-j)]
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ir_trig = ngs.IntegrationRule(ipts, [0,]*len(ipts))
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ipts = ([(i/og,j/og) for j in range(og+1) for i in range(og+1-j)] +
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[(1-i/og,1-j/og) for j in range(og+1) for i in range(og+1-j)])
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ir_quad = ngs.IntegrationRule(ipts, [0,]*len(ipts))
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vb = [ngs.VOL, ngs.BND][mesh.dim-2]
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if region and region.VB() == vb:
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vb = region
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pts = mesh.MapToAllElements({ngs.ET.TRIG: ir_trig, ngs.ET.QUAD: ir_quad}, vb)
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pmat = ngs.CoefficientFunction( func1 if draw_surf else func0 ) (pts)
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funcmin = np.min(pmat[:,3])
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funcmax = np.max(pmat[:,3])
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pmin = np.min(pmat[:,0:3], axis=0)
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pmax = np.max(pmat[:,0:3], axis=0)
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mesh_center = 0.5*(pmin+pmax)
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mesh_radius = np.linalg.norm(pmax-pmin)/2
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pmat = pmat.reshape(-1, len(ir_trig), 4)
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BezierPnts = np.tensordot(iBvals_trig.NumPy(), pmat, axes=(1,1))
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for i in range(ndtrig):
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Bezier_points.append(encodeData(BezierPnts[i], dtype=np.float32))
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d['Bezier_trig_points'] = Bezier_points
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d['mesh_center'] = list(mesh_center)
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d['mesh_radius'] = mesh_radius
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if func:
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d['funcmin'] = funcmin
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d['funcmax'] = funcmax
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return d
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def Draw(shape, clipping=None, js_code=None, filename=""):
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# todo: also handle occ geometry, list of shapes, etc.
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scene = WebGLScene(shape, clipping=clipping, on_init=js_code)
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if wg._IN_IPYTHON:
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if wg._IN_GOOGLE_COLAB:
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from IPython.display import display, HTML
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html = scene.GenerateHTML()
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display(HTML(html))
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else:
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# render scene using widgets.DOMWidget
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scene.Draw()
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return scene
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else:
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if filename:
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scene.GenerateHTML(filename=filename)
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return scene
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