diff --git a/.gitignore b/.gitignore index 5e9e3f50..c9808d6b 100644 --- a/.gitignore +++ b/.gitignore @@ -49,3 +49,5 @@ ttcrpy/cmesh3d.cp37-win_amd64.pyd examples/example_cmesh2d.vtu docs/_build/ + +old_stuff/ diff --git a/examples/README.md b/examples/README.md index 54a63c85..1bfce6be 100644 --- a/examples/README.md +++ b/examples/README.md @@ -11,4 +11,4 @@ The output files obtained on my machine are in the subdirectory out. ### Python wrapper An example showing how to do raytracing on a 2D triangular mesh is presented in -example_mesh2d.py. +example_cmesh2d.ipynp. diff --git a/examples/example_mesh2d.py b/examples/example_mesh2d.py deleted file mode 100644 index 5923712c..00000000 --- a/examples/example_mesh2d.py +++ /dev/null @@ -1,200 +0,0 @@ -# -*- coding: utf-8 -*- - -import numpy as np -import scipy.sparse as sp -import matplotlib.pyplot as plt - -# for parallel computations -from multiprocessing import Process, Queue - -# ttcrpy must be in your PYTHONPATH -from ttcrpy import mesh, cmesh2d - - -# Some functions used later - -def f(x, y): - ''' - slowness of Model 2 in Qian et al., 2007 - ''' - return 2.*np.pi*np.sqrt( np.cos(2.*np.pi*x)*np.sin(2.*np.pi*y)*np.cos(2.*np.pi*x)*np.sin(2.*np.pi*y) + - np.sin(2.*np.pi*x)*np.cos(2.*np.pi*y)*np.sin(2.*np.pi*x)*np.cos(2.*np.pi*y) ) - -def _rt_worker(idx, mesh, istart, iend, Tx, Rx, iRx, t0, nout, tt_queue): - """ - worker for spanning raytracing to different processes - """ - # slowness must have been set before raytracing - for n in range(istart, iend): - t = mesh.raytrace(None, - np.atleast_2d(Tx[n, :]), - np.atleast_2d(Rx), - t0[n], - nout=nout, - thread_no=idx) - tt_queue.put((t, iRx[n], n)) - tt_queue.close() - - - -# Read mesh -reader = mesh.MSHReader('model2_qian.msh') - -nodes = reader.readNodes() -triangles = reader.readTriangleElements() - -# *** Important *** -# keep only x and z coordinates of nodes - -nodes = np.vstack((nodes[:,0], nodes[:,2])).T - -# get centroid of triangles - -x = [] -z = [] -for t in triangles: - x.append((nodes[t[0],0] + nodes[t[1],0] + nodes[t[2],0])/3.0) - z.append((nodes[t[0],1] + nodes[t[1],1] + nodes[t[2],1])/3.0) - -# compute slowness at centroids, these values will be assigned to triangles -slowness = f(np.array(x), np.array(z)) - -# %% -# create mesh for serial calculations - -m1 = cmesh2d.Mesh2D(nodes, triangles, nsecondary=5, nthreads=1) - -# Source in Qian et al 2007 (5 points each having its t0) -Tx = np.array([[0.25, 0.25], - [0.75, 0.75], - [0.25, 0.75], - [0.25, 0.25], - [0.5, 0.5]]) -t0 = np.array([1.0, 1.0, -1.0, -1.0, 0.0]) - -# Compute tt at all nodes -Rx = nodes - -# %% -tt = m1.raytrace(slowness, Tx, Rx, t0) - -# %% show traveltimes - -plt.scatter(nodes[:,0], nodes[:,1], c=tt, cmap='seismic') -plt.colorbar() -plt.show(block=False) - - -# %% Second example showing how to use the data kernel matrix - -slowness[:] = 1.0 -m1.set_slowness(slowness) - -# Create crosshole-like acquisition geometry -nTx = 17 -nRx = 35 -Tx = np.vstack((0.1+np.zeros((nTx,)), np.linspace(0.1, 0.9, nTx))).T -Rx = np.vstack((0.9+np.zeros((nRx,)), np.linspace(0.1, 0.9, nRx))).T -t0 = np.zeros((nTx,)) - -tt = np.zeros((nTx*nRx,)) -L = [] -# loop over sources -for n in range(Tx.shape[0]): - ind = n*nRx + np.arange(nRx) - tt[ind], LL = m1.raytrace(slowness, np.atleast_2d(Tx[n, :]), Rx, t0, nout=2) - L.append(LL) -# assemble matrices -L = sp.vstack(L) - -# Compute times with data kernel matrix -tt2 = L.dot(slowness) - -# Check results -plt.figure() -plt.plot(tt, 'o') -plt.plot(tt2) -plt.show(block=False) - -# %% Example parallel Computation - -nthreads = 4 - -# We must create a new mesh with the right number of threads -m2 = cmesh2d.Mesh2D(nodes, triangles, nsecondary=10, nthreads=nthreads) - -tt = np.zeros((nTx*nRx,)) -t0 = np.zeros((nTx,)) - -# with parallel calculations, we don't know in which order transmitters will be -# processed, we have to build a vector of Rx indices, to store tt at the correct -# position -iRx = [] -for n in range(nTx): - iRx.append(n*nRx + np.arange(nRx)) - -# size of parallel blocks -blk_size = np.zeros((nthreads,), dtype=np.int64) -nj = nTx -while nj > 0: - for n in range(nthreads): - blk_size[n] += 1 - nj -= 1 - if nj == 0: - break - -m2.set_slowness(slowness) - -nout = 3 -if nout >=2: - L = [ [] for i in range(nTx) ] -if nout == 3: - rays = [ [] for n in range(nTx)] - - -processes = [] -blk_start = 0 -tt_queue = Queue() # we need a queue to retrieve the results - -# distribute jobs over threads -for n in range(nthreads): - blk_end = blk_start + blk_size[n] - p = Process(target=_rt_worker, - args=(n, m2, blk_start, blk_end, Tx, Rx, - iRx, t0, nout, tt_queue), - daemon=True) - processes.append(p) - p.start() - blk_start += blk_size[n] - -if nout == 1: - for i in range(nTx): - t, ind, n = tt_queue.get() - tt[ind] = t -if nout == 2: - for i in range(nTx): - t, ind, n = tt_queue.get() - tt[ind] = t[0] - L[n] = t[1] - L = sp.vstack(L) - -elif nout == 3: - for i in range(nTx): - t, ind, n = tt_queue.get() - tt[ind] = t[0] - L[n] = t[1] - rays[n] = t[2] - L = sp.vstack(L) - - -plt.figure() -plt.plot(tt, 'o') -if nout >= 2: - tt2 = L.dot(slowness) - plt.plot(tt2) -if nout == 3: - plt.figure() - for nt in range(nTx): - for nr in range(nRx): - plt.plot(rays[nt][nr][:,0], rays[nt][nr][:,1], 'k') -plt.show() diff --git a/examples/model2_qian.msh b/examples/model2_qian.msh deleted file mode 100644 index 1e8b2167..00000000 --- a/examples/model2_qian.msh +++ /dev/null @@ -1,24222 +0,0 @@ -$MeshFormat -2.2 0 8 -$EndMeshFormat -$PhysicalNames -1 -2 1 "Domain" -$EndPhysicalNames -$Nodes -8177 -1 0 0 0 -2 0 0 1 -3 1 0 0 -4 1 0 1 -5 0.25 0 0.25 -6 0.75 0 0.25 -7 0.5 0 0.5 -8 0.25 0 0.75 -9 0.75 0 0.75 -10 0 0 0.01249999999997648 -11 0 0 0.02499999999995316 -12 0 0 0.03749999999992749 -13 0 0 0.04999999999989965 -14 0 0 0.06249999999987189 -15 0 0 0.07499999999985282 -16 0 0 0.08749999999983374 -17 0 0 0.09999999999981467 -18 0 0 0.1124999999997956 -19 0 0 0.1249999999997765 -20 0 0 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8155 6340 -15923 2 2 1 40 6319 1901 8155 -15924 2 2 1 40 6340 8155 1906 -15925 2 2 1 40 1901 8156 8155 -15926 2 2 1 40 8156 8157 8155 -15927 2 2 1 40 8156 2235 8157 -15928 2 2 1 40 8155 8157 1906 -15929 2 2 1 40 1901 6318 8156 -15930 2 2 1 40 6318 8070 8156 -15931 2 2 1 40 6318 761 8070 -15932 2 2 1 40 8156 8070 2235 -15933 2 2 1 40 1906 8157 6341 -15934 2 2 1 40 8157 8069 6341 -15935 2 2 1 40 8157 2235 8069 -15936 2 2 1 40 6341 8069 707 -15937 2 2 1 40 434 6759 5299 -15938 2 2 1 40 6759 8158 5299 -15939 2 2 1 40 6759 2007 8158 -15940 2 2 1 40 5299 8158 1654 -15941 2 2 1 40 2007 8159 8158 -15942 2 2 1 40 8159 8160 8158 -15943 2 2 1 40 8159 2245 8160 -15944 2 2 1 40 8158 8160 1654 -15945 2 2 1 40 2007 6762 8159 -15946 2 2 1 40 6762 8161 8159 -15947 2 2 1 40 6762 724 8161 -15948 2 2 1 40 8159 8161 2245 -15949 2 2 1 40 1654 8160 5303 -15950 2 2 1 40 8160 8162 5303 -15951 2 2 1 40 8160 2245 8162 -15952 2 2 1 40 5303 8162 782 -15953 2 2 1 40 516 7045 6695 -15954 2 2 1 40 7045 8163 6695 -15955 2 2 1 40 7045 2064 8163 -15956 2 2 1 40 6695 8163 1990 -15957 2 2 1 40 2064 8164 8163 -15958 2 2 1 40 8164 8165 8163 -15959 2 2 1 40 8164 2239 8165 -15960 2 2 1 40 8163 8165 1990 -15961 2 2 1 40 2064 7044 8164 -15962 2 2 1 40 7044 8105 8164 -15963 2 2 1 40 7044 717 8105 -15964 2 2 1 40 8164 8105 2239 -15965 2 2 1 40 1990 8165 6696 -15966 2 2 1 40 8165 8104 6696 -15967 2 2 1 40 8165 2239 8104 -15968 2 2 1 40 6696 8104 769 -15969 2 2 1 40 517 7038 6704 -15970 2 2 1 40 7038 8166 6704 -15971 2 2 1 40 7038 2062 8166 -15972 2 2 1 40 6704 8166 1993 -15973 2 2 1 40 2062 8167 8166 -15974 2 2 1 40 8167 8168 8166 -15975 2 2 1 40 8167 2238 8168 -15976 2 2 1 40 8166 8168 1993 -15977 2 2 1 40 2062 7037 8167 -15978 2 2 1 40 7037 8100 8167 -15979 2 2 1 40 7037 716 8100 -15980 2 2 1 40 8167 8100 2238 -15981 2 2 1 40 1993 8168 6705 -15982 2 2 1 40 8168 8099 6705 -15983 2 2 1 40 8168 2238 8099 -15984 2 2 1 40 6705 8099 770 -15985 2 2 1 40 518 7052 6713 -15986 2 2 1 40 7052 8169 6713 -15987 2 2 1 40 7052 2066 8169 -15988 2 2 1 40 6713 8169 1996 -15989 2 2 1 40 2066 8170 8169 -15990 2 2 1 40 8170 8171 8169 -15991 2 2 1 40 8170 2240 8171 -15992 2 2 1 40 8169 8171 1996 -15993 2 2 1 40 2066 7051 8170 -15994 2 2 1 40 7051 8110 8170 -15995 2 2 1 40 7051 718 8110 -15996 2 2 1 40 8170 8110 2240 -15997 2 2 1 40 1996 8171 6714 -15998 2 2 1 40 8171 8109 6714 -15999 2 2 1 40 8171 2240 8109 -16000 2 2 1 40 6714 8109 771 -16001 2 2 1 40 519 7059 6722 -16002 2 2 1 40 7059 8172 6722 -16003 2 2 1 40 7059 2068 8172 -16004 2 2 1 40 6722 8172 1999 -16005 2 2 1 40 2068 8173 8172 -16006 2 2 1 40 8173 8174 8172 -16007 2 2 1 40 8173 2241 8174 -16008 2 2 1 40 8172 8174 1999 -16009 2 2 1 40 2068 7058 8173 -16010 2 2 1 40 7058 8115 8173 -16011 2 2 1 40 7058 719 8115 -16012 2 2 1 40 8173 8115 2241 -16013 2 2 1 40 1999 8174 6723 -16014 2 2 1 40 8174 8114 6723 -16015 2 2 1 40 8174 2241 8114 -16016 2 2 1 40 6723 8114 772 -16017 2 2 1 40 357 5569 6644 -16018 2 2 1 40 5569 8175 6644 -16019 2 2 1 40 5569 1718 8175 -16020 2 2 1 40 6644 8175 1980 -16021 2 2 1 40 1718 8176 8175 -16022 2 2 1 40 8176 8177 8175 -16023 2 2 1 40 8176 2245 8177 -16024 2 2 1 40 8175 8177 1980 -16025 2 2 1 40 1718 5572 8176 -16026 2 2 1 40 5572 8162 8176 -16027 2 2 1 40 5572 782 8162 -16028 2 2 1 40 8176 8162 2245 -16029 2 2 1 40 1980 8177 6648 -16030 2 2 1 40 8177 8161 6648 -16031 2 2 1 40 8177 2245 8161 -16032 2 2 1 40 6648 8161 724 -$EndElements diff --git a/ttcrpy/cmesh3d.pyx b/ttcrpy/cmesh3d.pyx index 2067f878..f15f3240 100644 --- a/ttcrpy/cmesh3d.pyx +++ b/ttcrpy/cmesh3d.pyx @@ -29,8 +29,6 @@ cimport numpy as np from scipy.sparse import csr_matrix -from utils import nargout - cdef extern from "ttcr_t.h" namespace "ttcr": cdef cppclass sxyz[T]: sxyz(T, T, T) except + @@ -73,7 +71,7 @@ cdef class Mesh3Dcpp: del self.mesh def raytrace(self, slowness, Tx, Rx, t0): - nout = 4#nargout() + nout = 4 # assing model data cdef vector[double] slown @@ -85,37 +83,35 @@ cdef class Mesh3Dcpp: cdef vector[sxyz[double]] cTx for t in Tx: cTx.push_back(sxyz[double](t[0], t[1], t[2])) - + cdef vector[sxyz[double]] cRx for r in Rx: cRx.push_back(sxyz[double](r[0], r[1], r[2])) - + cdef vector[double] ct0 for tmp in t0: ct0.push_back(tmp) - + # instantiate output variables cdef np.ndarray tt = np.empty([Rx.shape[0],], dtype=np.double) # tt should be the right size cdef np.ndarray v0 = np.empty([Rx.shape[0],], dtype=np.double) - + if nout == 1: self.mesh.raytrace(cTx, ct0, cRx, np.PyArray_DATA(tt)) return tt elif nout == 3: rays = tuple([ [0.0] for i in range(Rx.shape[0]) ]) - + self.mesh.raytrace(cTx, ct0, cRx, np.PyArray_DATA(tt), rays, np.PyArray_DATA(v0)) return tt, rays, v0 # elif nout == 4: # rays = tuple([ [0.0] for i in range(Rx.shape[0]) ]) -# +# # nTx = np.unique(Tx, axis=0).shape[0] -# +# # M = tuple([ ([0.0],[0.0],[0.0]) for i in range(nTx) ]) -# +# # self.mesh.raytrace(cTx, ct0, cRx, np.PyArray_DATA(tt), rays, np.PyArray_DATA(v0), M) # return tt, rays, v0, M - - diff --git a/ttcrpy/grid.py b/ttcrpy/grid.py deleted file mode 100644 index 2d4be446..00000000 --- a/ttcrpy/grid.py +++ /dev/null @@ -1,1075 +0,0 @@ -# -*- coding: utf-8 -*- - -""" -Created on Tue Jun 21 20:55:29 2016 - -@author: giroux - -Copyright 2016 Bernard Giroux -email: bernard.giroux@ete.inrs.ca - -This program is free software: you can redistribute it and/or modify -it under the terms of the GNU General Public License as published by -the Free Software Foundation, either version 3 of the License, or -(at your option) any later version. - -This program is distributed in the hope that it /will be useful, -but WITHOUT ANY WARRANTY; without even the implied warranty of -MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the -GNU General Public License for more details. - -You should have received a copy of the GNU General Public License -along with this program. If not, see . -""" - -import math -import numpy as np -from scipy.sparse import csr_matrix -import h5py - -from cutils import cgrid2d # @UnresolvedImport - -from utils import nargout -import covar - -class Grid: - """ - Superclass for 2D and 3D grids - - Grids are regular, i.e. constant step size, although not restricted to - square or cubic cells (dx, dy and dz may differ from each other) - """ - - def __init__(self): - - self.grx = np.array([]) # coordinates of grid nodes along X - self.gry = np.array([]) # coordinates of grid nodes along Y - self.grz = np.array([]) # coordinates of grid nodes along Z - self.cont = None - self.Tx = np.array([]) - self.Rx = np.array([]) - self.TxCosDir = np.array([]) - self.RxCosDir = np.array([]) - self.border = np.array([]) - self.Tx_Z_water = np.nan - self.Rx_Z_water = np.nan - self.in_vect = np.array([]) - - def getNumberOfCells(self): - """ - Returns the number of cells of the grid - """ - nc = (self.grx.size-1)*(self.grz.size-1) - if self.gry.size > 1: - nc *= self.gry.size-1 - return nc - - def getNcell(self): - """ - Returns a tuple with the number of cells in each dimension - """ - if self.gry.size > 1: - return (self.grx.size-1, self.gry.size-1, self.grz.size-1) - else: - return (self.grx.size-1, self.grz.size-1) - - @property - def dx(self): - return self.grx[1] - self.grx[0] - - @property - def dy(self): - if len(self.gry) == 0: - return 0 - else: - return self.gry[1] - self.gry[0] - - @property - def dz(self): - return self.grz[1] - self.grz[0] - - - - @staticmethod - def lsplane(X): - """ - Least-squares plane (orthogonal distance regression) to a cloud of points - Usages: - x0,a = lsplane(x) - x0,a,d,normd = lsplane(x) - - Input: - x: cloud of points (n x 3) - - Output: - x0: point on plane (3,) - a: direction cosine of normal to plane (1x3) - d: residuals - normd: norm of residuals - - translation of the matlab function lsplane.m by I M Smith - """ - - nout = nargout() - - m = X.shape[0] - if m < 3: - raise ValueError('At least 3 data points required') - - x0 = np.mean(X, axis=0).T - - A = np.vstack([X[:,0]-x0[0], X[:,1]-x0[1], X[:,2]-x0[2]]).T - (U,S,V) = np.linalg.svd(A) - - i = np.argmin(S) - a = V[i,:].T - - if nout==4: - s = np.amin(S) - d = U[:,i]*s - normd = np.linalg.norm(d) - return (x0, a, d, normd) - elif nout==2: - return (x0, a) - - - @staticmethod - def boreholes_order(bh): - """ - Compute order of many boreholes so that they best align - - Usage: - boreholes_order(bh) -> order - - Assumption: boreholes are more or less vertical - """ - nd = len(bh) - x = [ b.X for b in bh ] - y = [ b.Y for b in bh ] - - dx = max(x)-min(x) - dy = max(y)-min(y) - - # find along which dimension we should work - if dx>dy: - x = np.array(x) - y = np.array(y) - else: - tmp = x - x = np.array(y) - y = np.array(tmp) - - order = np.arange(nd) - ix = np.argsort(x) - x = x[ix] - y = y[ix] - order = order[ix] - - # check if xmin is repeated - ind = np.equal(x[0], x) - if ind.sum()>1: - iy = np.argsort(y[ind]) - y[ind] = y[iy] - order[ind] = order[iy] - - # sort sequentially according to distance from previous bh - for n in np.arange(nd-2): - dist = np.sqrt( (x[n]-x[n+1:])**2 + (y[n]-y[n+1:])**2) - ind = np.argsort(dist) - tmp = x[n+1:] - x[n+1:] = tmp[ind] - tmp = y[n+1:] - y[n+1:] = tmp[ind] - tmp = order[n+1:] - order[n+1:] = tmp[ind] - - return order - - - @staticmethod - def proj_plane(data, x0, a): - """ - p_data = proj_plane(data, x0, a) - - Input: - data : coordinates to project on plane (nx3) - x0 : pt on the plane (3,) - a : direction cosine of normal to plane (3,) - - Output: - p_data : projected coordinates (nx3) - """ - p_data = data.copy() - for n in np.arange(data.shape[0]): - r = x0 - data[n,:] - p = np.dot(a,r) - p_data[n,:] = data[n,:] + p*a - - return p_data - - - @staticmethod - def proj_planes(data, planes): - """ - p_data,no_plane = proj_planes(data, planes) - - Input: - data : coordinates to project on plane (nx3) - planes : list of plane objects with the following attributes - x0 : pt on the plane (3,) - a : direction cosine of normal to plane (3,) - - Output: - p_data : projected coordinates (nx3) - no_plane : index of plane on which data is projected (n,) - """ - p_data = data.copy() - no_plane = np.zeros((data.shape[0],),dtype=int) - p = np.zeros((len(planes),)) - for n in np.arange(data.shape[0]): - for nn in np.arange(len(planes)): - r = planes[nn].x0 - data[n,:] - p[nn] = np.dot(planes[nn].a,r) - - no = np.argmin(np.abs(p)) # find plane closest to current point - p_data[n,:] = data[n,:] + p[no]*planes[no].a # project on closest plane - no_plane[n] = no - - return p_data,no_plane - - - @staticmethod - def transl_rotat(data, origin, az, dip): - """ - Translate with respect to origin and rotate w/r to azimuth and dip - - m_data = transl_rotat(data, origin, az, dip) - - """ - # translation w/r to origin - m_data = np.vstack([data[:,0]-origin[0], data[:,1]-origin[1], data[:,2]-origin[2]]).T - # rotation w/r to azimuth - if np.abs(az)>(math.pi/720.0): # if azimuth larger that 1/4 of a degree - rot = np.array([[np.cos(az), -np.sin(az)],[np.sin(az), np.cos(az)]]) - for n in np.arange(m_data.shape[0]): - m_data[n,:2] = np.dot(m_data[n,:2], rot.T) - # np.dot(m_data[n,:2], rot.T) is equal to np.dot(rot, m_data[n,:2].T).T - - # rotation w/r to dip - if np.abs(dip)>(math.pi/720.0): # if azimuth larger that 1/4 of a degree - rot = np.array([[np.cos(dip), -np.sin(dip)],[np.sin(dip), np.cos(dip)]]) - for n in np.arange(m_data.shape[0]): - m_data[n,1:] = np.dot(m_data[n,1:], rot.T) - - return m_data - - -class Grid2D(Grid): - """ - Class for 2D grids - - Important: the raytracing codes are based on a column-major order - for the slowness vector (Z is the "fast" axis). - To visualize the slowness model with Z axis vertical and X horizontal, - the vector should be reshaped as - slowness.reshape(nx,nz).T - - """ - - def __init__(self, grx=None, grz=None, nthreads=1): - Grid.__init__(self) - if grx is not None: - self.grx = grx - if grz is not None: - self.grz = grz - self.nthreads = nthreads - self.nsnx = 10 - self.nsnz = 10 - self.cgrid = None - self.border = np.array([1, 1, 1, 1]) - self.flip = 0 - self.borehole_x0 = 1 - self.x0 = np.array([]) - self.type = None - - def __reduce__(self): - # cgrid excluded volontarily, it will be set to None after unpickling - # (cgrid is instantiated when needed in method raytrace) - # this is done to avoid writing code to pickle cython class Grid2Dcpp - return (Grid2D.rebuild,(self.grx, self.grz, self.cont, self.Tx, self.Rx, - self.TxCosDir, self.RxCosDir, self.border, - self.Tx_Z_water, self.Rx_Z_water, self.in_vect, - self.nthreads, self.nsnx, self.nsnz, self.flip, - self.borehole_x0, self.x0, self.type)) - - @staticmethod - def rebuild(grx, grz, cont, Tx, Rx, TxCosDir, RxCosDir, border, Tx_Z_water, - Rx_Z_water, in_vect, nthreads, nsnx, nsnz, flip, borehole_x0, x0, _type): - - g = Grid2D(grx, grz, nthreads) - - g.cont = cont - g.Tx = Tx - g.Rx = Rx - g.TxCosDir = TxCosDir - g.RxCosDir = RxCosDir - g.border = border - g.Tx_Z_water = Tx_Z_water - g.Rx_Z_water = Rx_Z_water - g.in_vect = in_vect - g.nsnx = nsnx - g.nsnz = nsnz - g.flip = flip - g.borehole_x0 = borehole_x0 - g.x0 = x0 - g.type = _type - - return g - - - def raytrace(self, slowness, Tx, Rx, t0=(), xi=(), theta=()): - """ - Compute traveltimes, raypaths and build ray projection matrix - - Usages: - tt,L,rays = grid.raytrace(slowness,Tx,Rx,t0,xi,theta) - tt,L = grid.raytrace(slowness,Tx,Rx,t0,xi,theta) {Note: rays can be omitted from output} - - Input: - slowness: vector of slowness values at grid cells (ncell x 1) - Tx: coordinates of sources points (ndata x 3) - Rx: coordinates of receivers (ndata x 3) - t0 (optional): initial time at sources points (ndata x 1) - xi (optional): anisotropy ratio vector ( ncell x 1 ) - values are ratio of slowness in Z over slowness in X - theta (optional): angle of rotation of the ellipse of anisotropy ( ncell x 1 ), - counter-clockwise from horizontal, units in radian - Output: - tt: vector of traveltimes, ndata by 1 - L: ray projection matrix, ndata by ncell (ndata x 2*ncell for anisotropic media) - rays: tuple containing the matrices of coordinates of the ray - paths, ndata by 1. Each matrix is nPts by 2 - """ - - nout = nargout() - # check input data consistency - - if Tx.ndim != 2 or Rx.ndim != 2: - raise ValueError('Tx and Rx should be 2D arrays') - - if Tx.shape[1] !=3 or Rx.shape[1] != 3: - raise ValueError('Tx and Rx should be ndata x 3') - - if Tx.shape != Rx.shape: - raise ValueError('Tx and Rx should be of equal size') - - if len(slowness) != self.getNumberOfCells(): - raise ValueError('Length of slowness vector should equal number of cells') - - if len(xi) != 0 and len(xi) != len(slowness): - raise ValueError('Length of xi should equal length of slowness') - - if len(theta) != 0 and len(theta) != len(slowness): - raise ValueError('Length of theta should equal length of slowness') - - if len(t0) == 0: - t0 = np.zeros([Tx.shape[0],]) - elif len(t0) != Tx.shape[0]: - raise ValueError('Length of t0 should equal number of Tx') - - if self.cgrid == None: - nx = len(self.grx)-1 - nz = len(self.grz)-1 - dx = self.grx[1]-self.grx[0] - dz = self.grz[1]-self.grz[0] - - typeG = b'iso' - if len(xi)!=0: - if len(theta)!=0: - typeG = b'tilted' - else: - typeG = b'elliptical' - self.cgrid = cgrid2d.Grid2Dcpp(typeG,nx,nz,dx,dz,self.grx[0],self.grz[0], # @UndefinedVariable - self.nsnx,self.nsnz,self.nthreads) - - if nout==2: - tt,L = self.cgrid.raytrace(slowness,xi,theta,Tx,Rx,t0,nout) - return tt,L - elif nout==3: - tt,L,rays = self.cgrid.raytrace(slowness,xi,theta,Tx,Rx,t0,nout) - return tt,L,rays - - - def getForwardStraightRays(self, ind=None, dx=None, dy=None, dz=None, aniso=False): - """ - Build ray projection matrix for straight rays - - Input: - ind: indices of Tx-Rx pairs for which matrix is built - dx: grid cell size along X (default is size of grid instance) - dz: grid cell size along Z (default is size of grid instance) - aniso: if true build matrix for anisotropic slowness - - Output: - L: ray projection matrix, ndata by ncell (ndata x 2*ncell for anisotropic media) - """ - if ind is None: - ind = np.ones((self.Tx.shape[0],),dtype=bool) - - small = 0.00001 - if dx is None: - grx = self.grx - else: - grx = np.arange(self.grx[0],self.grx[-1]+small, dx) - - if dz is None: - grz = self.grz - else: - grz = np.arange(self.grz[0],self.grz[-1]+small, dz) - - if aniso==False: - return cgrid2d.Grid2Dcpp.Lsr2d(self.Tx[np.ix_(ind,[0,2])], self.Rx[np.ix_(ind,[0,2])], grx, grz) # @UndefinedVariable - else: - return cgrid2d.Grid2Dcpp.Lsr2da(self.Tx[np.ix_(ind,[0,2])], self.Rx[np.ix_(ind,[0,2])], grx, grz) # @UndefinedVariable - - - def getCellCenter(self, dx=None, dz=None): - """ - Returns a nCell x 2 array containing the coordinates of the center of the cells - """ - if dx is None: - dx = self.grx[1] - self.grx[0] - if dz is None: - dz = self.grz[1] - self.grz[0] - - xmin = self.grx[0] + dx/2.0 - zmin = self.grz[0] + dz/2.0 - xmax = self.grx[-1] - dx/3.0 # divide by 3 to avoid truncation error - zmax = self.grz[-1] = dz/3.0 - nx = np.ceil((xmax-xmin)/dx) - nz = np.ceil((zmax-zmin)/dz) - - c = np.vstack( [xmin+np.kron(np.ones((nz,)), np.arange(nx)*dx), - zmin+np.kron(np.arange(nz), np.ones((nx,))*dz)] ).T - return c - - - def checkCenter(self, x, y, z): - """ - Verify if given coordinates correspond to the center of the cells - """ - if len(y)>0: - return False # Y should be empty for 2D grids - - dx = self.grx[1] - self.grx[0] - xmin = self.grx[0] + dx/2.0 - xmax = self.grx[-1] - dx/3.0 # divide by 3 to avoid truncation error - xx = np.arange(xmin, xmax, dx) - if xx.size() != x.size(): - return False - - if np.any(np.abs(x-xx)>1000.0*np.finfo(float).eps): - return False - - dz = self.grz[1] - self.grz[0] - zmin = self.grz[0] + dz/2.0 - zmax = self.grz[-1] - dz/3.0 # divide by 3 to avoid truncation error - zz = np.arange(zmin, zmax, dz) - if zz.size() != z.size(): - return False - - if np.any(np.abs(z-zz)>1000.0*np.finfo(float).eps): - return False - - return True - - def derivative(self, order, normalize = False): - """ - Compute spatial derivative operators for grid _cells_ - - For 1st order: - forward operator is (u_{i+1} - u_i)/dx - centered operator is (u_{i+1} - u_{i-1})/(2dx) - backward operator is (u_i - u_{i-1})/dx - - For 2nd order: - forward operator is (u_i - 2u_{i+1} + u_{i+2})/dx^2 - centered operator is (u_{i-1} - 2u_i + u_{i+1})/dx^2 - backward operator is (u_{i-2} - 2u_{i-1} + u_i)/dx^2 - """ - dx = 1 - dz = 1 - if normalize: - dx = self.dx() - dz = self.dz() - - nx = len(self.grx) - 1 - nz = len(self.grz) - 1 - - if order == 1: - - # forward operator is (u_{i+1} - u_i)/dx - # centered operator is (u_{i+1} - u_{i-1})/(2dx) - # backward operator is (u_i - u_{i-1})/dx - - idx = 1/dx - idz = 1/dz - - i = np.kron(np.arange(nx*nz),np.ones((2,))) - j = np.zeros((nz * nx * 2,)) - v = np.zeros((nz * nx * 2,)) - - - jj = np.vstack((np.arange(nz),nz+np.arange(nz))).T - jj = jj.flatten() - j[:2*nz] = jj - vd = idx * np.tile(np.array([-1,1]),(nz,)) - v[:2*nz] = vd - - jj = np.vstack((-nz+np.arange(nz),nz+np.arange(nz))).T - jj = jj.flatten() - for n in range(1,nx-1): - j[n*2*nz:(n+1)*2*nz] = n*nz + jj - v[n*2*nz:(n+1)*2*nz] = 0.5*vd - - jj = np.vstack((-nz+np.arange(nz),np.arange(nz))).T - jj = jj.flatten() - j[(nx-1)*2*nz:nx*2*nz] = (nx-1)*nz + jj - v[(nx-1)*2*nz:nx*2*nz] = vd - - Dx = csr_matrix((v,(i,j))) - - - jj = np.vstack((np.hstack((0,np.arange(nz-1))), - np.hstack((np.arange(1,nz), nz-1)))).T - jj = jj.flatten() - vd = idz*np.hstack((np.array([-1,1]), - np.tile(np.array([-0.5,0.5]),(nz-2,)),np.array([-1,1]))) - - for n in range(nx): - j[n*2*nz:(n+1)*2*nz] = n*nz + jj - v[n*2*nz:(n+1)*2*nz] = vd - - Dz = csr_matrix((v,(i,j))) - else: # 2nd order - - # forward operator is (u_i - 2u_{i+1} + u_{i+2})/dx^2 - # centered operator is (u_{i-1} - 2u_i + u_{i+1})/dx^2 - # backward operator is (u_{i-2} - 2u_{i-1} + u_i)/dx^2 - - idx2 = 1/(dx*dx) - idz2 = 1/(dz*dz) - - i = np.kron(np.arange(nx*nz),np.ones((3,))) - j = np.zeros((nz * nx * 3,)) - v = np.zeros((nz * nx * 3,)) - - jj = np.vstack((np.arange(nz),nz+np.arange(nz),2*nz+np.arange(nz))).T - jj = jj.flatten() - j[:3*nz] = jj - vd = idx2*np.tile(np.array([1.0,-2.0,1.0]),(nz,)) - v[:3*nz] = vd - - for n in range(1,nx-1): - j[n*3*nz:(n+1)*3*nz] = (n-1)*nz + jj - v[n*3*nz:(n+1)*3*nz] = vd - - j[(nx-1)*3*nz:nx*3*nz] = (nx-3)*nz + jj - v[(nx-1)*3*nz:nx*3*nz] = vd - - Dx = csr_matrix((v,(i,j))) - - - jj = np.vstack((np.hstack((0,np.arange(nz-2),nz-3)), - np.hstack((1,np.arange(1,nz-1), nz-2)), - np.hstack((2,np.arange(2,nz), nz-1)))).T - jj = jj.flatten() - vd = vd*idz2/idx2 - - for n in range(nx): - j[n*3*nz:(n+1)*3*nz] = n*nz + jj - v[n*3*nz:(n+1)*3*nz] = vd - - Dz = csr_matrix((v,(i,j))) - - # no derivative along y, empty Dy matrix - Dy = csr_matrix(Dx.shape) - - return Dx,Dy,Dz - - def preFFTMA(self, cm): - """ - Compute matrix G for FFT-MA simulations - - INPUT - cm: list of covariance models - - OUTPUT - G: covariance matrix in spectral domain - """ - small = 1.0e-6 - Nx = 2*self.grx.size - Nz = 2*self.grz.size - - Nx2 = Nx/2 - Nz2 = Nz/2 - - x = self.dx * np.hstack((np.arange(Nx2), np.arange(-Nx2+1,1))) - z = self.dz * np.hstack((np.arange(Nz2), np.arange(-Nz2+1,1))) - - x = np.kron(x,np.ones((Nz,))) - z = np.kron(z,np.ones((1,Nx)).T).flatten() - - d = 0 - for c in cm: - d = d + c.compute(np.vstack((x,z)).T, np.zeros((1,2))) - K = d.reshape(Nx,Nz) - - mk = True - while mk: - mk = False - if np.min(K[0,:])>small: - # Enlarge grid to make sure that covariance falls to zero - Nz = 2*Nz - mk = True - - if np.min(K[:,0])>small: - Nx = 2*Nx - mk = True - - if mk: - Nx2 = Nx/2 - Nz2 = Nz/2 - - x = self.dx * np.hstack((np.arange(Nx2), np.arange(-Nx2+1,1))) - z = self.dz * np.hstack((np.arange(Nz2), np.arange(-Nz2+1,1))) - - x = np.kron(x,np.ones((Nz,))) - z = np.kron(z,np.ones((1,Nx)).T).flatten() - - d = 0 - for c in cm: - d = d + c.compute(np.vstack((x,z)).T, np.zeros((1,2))) - K = d.reshape(Nx,Nz) - - return np.sqrt(np.fft.fft2(K)) - - def FFTMA(self, G): - """ - Perform FFT-MA simulation using pre-computed spectral matrix - - INPUT - G: covariance matrix in spectral domain as return by preFFTMA - - OUTPUT - Z: simulated field of size nx x nz - """ - Nx,Nz = G.shape - U = np.random.randn(G.shape[0], G.shape[1]) - Z = np.real(np.fft.ifft2(G*U)) - - return Z[int(round((Nx+2)/2)):(int(round((Nx+2)/2))+self.grx.size-1), - int(round((Nz+2)/2)):(int(round((Nz+2)/2))+self.grz.size-1)] - - def toXdmf(self, field, fieldname, filename): - """ - Save a field in xdmf format - - INPUT - field: data array of size equal to the number of cells in the grid - fieldname: name to be assinged to the data (string) - filename: name of xdmf file (string) - """ - nx = self.grx.size-1 - nz = self.grz.size-1 - ox = self.grx[0] + self.dx/2 - oz = self.grz[0] + self.dz/2 - - f = open(filename,'w') - - f.write('\n') - f.write('\n') - f.write('\n') - f.write(' \n') - f.write(' \n') - f.write(' \n') - f.write(' \n') - f.write(' \n') - f.write(' '+repr(oz)+' '+repr(ox)+'\n') - f.write(' \n') - f.write(' \n') - f.write(' '+repr(self.dz)+' '+repr(self.dx)+'\n') - f.write(' \n') - f.write(' \n') - f.write(' \n') - f.write(' '+filename+'.h5:/'+fieldname+'\n') - f.write(' \n') - f.write(' \n') - f.write(' \n') - f.write('\n') - - f.close() - - h5f = h5py.File(filename+'.h5', 'w') - h5f.create_dataset(fieldname, data=field.reshape((nx,nz)).T.astype(np.float32)) - h5f.close() - -if __name__ == '__main__': - - from mpl_toolkits.mplot3d import Axes3D # @UnresolvedImport - import matplotlib.pyplot as plt - - testRaytrace = False - testRaytrace2 = False - testStatic = False - testDeriv = False - testFFTMA = True - testPickle = False - - if testRaytrace: - grx = np.linspace(0,10,num=21) - grz = np.linspace(0,15,num=31) - - grid = Grid2D(grx,grz) - - print(grid.dx) - - nc = grid.getNumberOfCells() - slowness = np.ones((nc,)) - - Tx = np.array([[0.2, 0.0, 0.2], - [0.2, 0.0, 0.2], - [0.2, 0.0, 0.2], - [0.2, 0.0, 1.2], - [0.2, 0.0, 1.2], - [0.2, 0.0, 1.2]]) - Rx = np.array([[9.8, 0.0, 0.2], - [9.8, 0.0, 3.2], - [9.8, 0.0, 6.2], - [9.8, 0.0, 0.2], - [9.8, 0.0, 3.2], - [9.8, 0.0, 6.2]]) - t0 = np.zeros([6,]) - - tt1,L1,rays1 = grid.raytrace(slowness, Tx, Rx, t0) - tt1b,L1b = grid.raytrace(slowness, Tx, Rx, t0) - tt2,L2,rays2 = grid.raytrace(slowness, Tx, Rx) - - d = np.sqrt(np.sum((Tx-Rx)**2,axis=1)) - - print(d-tt1) - print(d-tt1b) - - print(d-tt2) - tt2b = L2*slowness - print(d-tt2b) - - dL = L1-L1b - print( dL==0 ) - - plt.matshow(L1.toarray()) - - plt.show() - - - grid.Tx = Tx - grid.Rx = Rx - - Lsr = grid.getForwardStraightRays() - ttsr = Lsr*slowness - - print(d-ttsr) - - - Lsr2 = grid.getForwardStraightRays(aniso=True) - slowness2 = np.ones((2*nc,)) - ttsr2 = np.sqrt( (Lsr2[:,:nc]*slowness2[:nc])**2 + (Lsr2[:,nc:]*slowness2[nc:])**2) - - print(d-ttsr2) - - - plt.matshow(Lsr.toarray()) - - plt.show() - - if testRaytrace2: - grx = np.linspace(0,10,num=21) - grz = np.linspace(0,15,num=31) - - grid = Grid2D(grx,grz) - - nc = grid.getNumberOfCells() - slowness = np.ones((nc,)) - slowness = slowness.reshape((20,30)) - slowness[:,:10] = 0.5 - - plt.matshow(slowness.T) - plt.show() - - s = slowness.flatten() - print(s[8:13]) - - z = np.arange(1,15) - - Tx = np.vstack((np.ones(z.size), np.zeros(z.size),z)).T - Rx = np.vstack((9+np.ones(z.size), np.zeros(z.size),z)).T - - grid.Tx = Tx - grid.Rx = Rx - - Lsr = grid.getForwardStraightRays() - ttsr = Lsr*s - - print(ttsr) - - tt1,L1,rays1 = grid.raytrace(s, Tx, Rx) - - - - if testStatic: - - class Borehole: - X = 0 - Y = 0 - - bh1 = Borehole() - bh2 = Borehole() - bh3 = Borehole() - bh4 = Borehole() - - bh3.X = 4.0 - bh3.Y = 1.0 - bh2.X = 7.6 - bh2.Y = 0.67 - bh1.Y = 1.0 - - bh=[bh1, bh2, bh3, bh4] - - order = Grid.boreholes_order(bh) - - print(order) - - - import numpy.random - x = numpy.random.rand(100,3) - x[:,0] *= 30 - x[:,1] *= 25 - x[:,2] -= 0.5 - - x0,a = Grid.lsplane(x) - - xp = Grid.proj_plane(x,x0,a) - - fig = plt.figure() - ax = fig.add_subplot(111, projection='3d') - - ax.scatter(xs=x[:,0], ys=x[:,1], zs=x[:,2], c='r') - ax.scatter(xs=xp[:,0], ys=xp[:,1], zs=xp[:,2], c='b') - ax.set_xlabel('X Label') - ax.set_ylabel('Y Label') - ax.set_zlabel('Z Label') - - ax.view_init(0,45) - - plt.show() - - class Plane: - x0 = 0 - a = 0 - - plane1 = Plane() - plane1.a = a - plane1.x0 = x0 - - x = numpy.random.rand(100,3) - x[:,0] *= 30 - x[:,1] *= 25 - x[:,2] -= 0.25 - - x0,a = Grid.lsplane(x) - plane2 = Plane() - plane2.a = a - plane2.x0 = x0 - - planes = [plane1, plane2] - - xp,np_plane = Grid.proj_planes(x, planes) - - - origin = np.array([np.min(xp[:,0]), np.min(xp[:,1]), 0]) - az = 30*3.14159/180 - dip = -45*3.14159/180 - - - xd = Grid.transl_rotat(xp, origin, az, dip) - - fig = plt.figure() - ax = fig.add_subplot(111, projection='3d') - - ax.scatter(xs=xd[:,0], ys=xd[:,1], zs=xd[:,2], c='r') - ax.scatter(xs=xp[:,0], ys=xp[:,1], zs=xp[:,2], c='b') - ax.set_xlabel('X Label') - ax.set_ylabel('Y Label') - ax.set_zlabel('Z Label') - - ax.view_init(0,45) - - plt.show() - - if testDeriv: - grx = np.linspace(0,3,num=8) - grz = np.linspace(0,6,num=9) - nx=len(grx)-1 - nz=len(grz)-1 - - grid = Grid2D(grx,grz) - - Dx,Dy,Dz = grid.derivative(1) - - plt.matshow(Dx.toarray()) - plt.title('Dx') - plt.show() - - nc = grid.getNumberOfCells() - s = np.ones((nc,)) - s[0] = 2 - s[27] = 2 - s[-1] = 2 - - dsx = Dx*s - dsz = Dz*s - - plt.matshow(s.reshape((nx,nz)).T) - plt.title('s') - plt.colorbar() - plt.show() - - plt.matshow(dsx.reshape((nx,nz)).T) - plt.title('dsx') - plt.colorbar() - plt.show() - - plt.matshow(Dz.toarray()) - plt.title('Dz') - plt.show() - - plt.matshow(dsz.reshape((nx,nz)).T) - plt.title('dsz') - plt.colorbar() - plt.show() - - - - Dx,Dy,Dz = grid.derivative(2) - - plt.matshow(Dx.toarray()) - plt.title('Dx O2') - plt.show() - - dsx = Dx*s - dsz = Dz*s - - plt.matshow(dsx.reshape((nx,nz)).T) - plt.title('dsx O2') - plt.colorbar() - plt.show() - - plt.matshow(Dz.toarray()) - plt.title('Dz O2') - plt.show() - - plt.matshow(dsz.reshape((nx,nz)).T) - plt.title('dsz O2') - plt.colorbar() - plt.show() - - if testFFTMA: - grx = np.linspace(0,3,num=50) - grz = np.linspace(0,6,num=100) - nx=len(grx)-1 - nz=len(grz)-1 - - grid = Grid2D(grx,grz) - - cm = [covar.CovarianceExponential(np.array([5.0,2.0]), np.array([0]), 2.5)] - - G = grid.preFFTMA(cm) - - Z = grid.FFTMA(G) - - plt.matshow(Z.T) - plt.show() - - grid.toXdmf(Z,'fftma','test.xmf') - - if testPickle: - import pickle - - grx = np.linspace(0,10,num=21) - grz = np.linspace(0,15,num=31) - - grid = Grid2D(grx,grz) - - z = np.arange(1,15) - - Tx = np.vstack((np.ones(z.size), np.zeros(z.size),z)).T - Rx = np.vstack((9+np.ones(z.size), np.zeros(z.size),z)).T - - grid.Tx = Tx - grid.Rx = Rx - - nc = grid.getNumberOfCells() - slowness = np.ones((nc,)) - slowness = slowness.reshape((20,30)) - slowness[:,:10] = 0.5 - - s = slowness.flatten() - - - Lsr = grid.getForwardStraightRays() - ttsr = Lsr*s - - with open('/tmp/data.pickle', 'wb') as f: - # Pickle the 'data' dictionary using the highest protocol available. - pickle.dump(grid, f, pickle.HIGHEST_PROTOCOL) - - - del grid - - with open('/tmp/data.pickle', 'rb') as f: - # The protocol version used is detected automatically, so we do not - # have to specify it. - grid = pickle.load(f) - - - - Lsr1 = grid.getForwardStraightRays() - ttsr1 = Lsr1*s - - tt1,L1,rays1 = grid.raytrace(s, Tx, Rx) - - - with open('/tmp/data.pickle', 'wb') as f: - # Pickle the 'data' dictionary using the highest protocol available. - pickle.dump(grid, f, pickle.HIGHEST_PROTOCOL) - - - del grid - - with open('/tmp/data.pickle', 'rb') as f: - # The protocol version used is detected automatically, so we do not - # have to specify it. - grid = pickle.load(f) - - Lsr2 = grid.getForwardStraightRays() - ttsr2 = Lsr2*s - - tt2,L2,rays2 = grid.raytrace(s, Tx, Rx) - - print(ttsr) - print(ttsr1) - print(ttsr2) - print(tt1) - print(tt2) diff --git a/ttcrpy/mesh.py b/ttcrpy/mesh.py deleted file mode 100644 index 755dde1b..00000000 --- a/ttcrpy/mesh.py +++ /dev/null @@ -1,490 +0,0 @@ -# -*- coding: utf-8 -*- -""" -Created on Fri Oct 21 09:48:08 2016 - -@author: giroux -""" - -import math -import re -import sys - -from numba import jit -import numpy as np -from scipy.sparse import csr_matrix -import h5py - -import vtk - -import ttcrpy.cmesh3d - -from utils import nargout - - -class MSHReader: - def __init__(self, filename): - self.filename = filename - self.valid = self.checkFormat() - - def checkFormat(self): - try: - f = open(self.filename, 'r') - line = f.readline() - if not line.startswith('$MeshFormat'): - return False - tmp = re.split(r' ', f.readline()) - if tmp[0] != '2.2' or tmp[1] != '0': - return False - - except OSError as err: - print("OS error: {0}".format(err)) - return False - except ValueError: - print("Could not convert data to an integer.") - return False - except: - print("Unexpected error:", sys.exc_info()[0]) - return False - - def is2D(self): - try: - nodes = self.readNodes() - except: - raise - - ymin = np.min(nodes[:,1]) - ymax = np.max(nodes[:,1]) - return ymin==ymax - - def getNumberOfNodes(self): - try: - f = open(self.filename, 'r') - for line in f: - if line.startswith('$Nodes'): - nnodes = int(f.readline()) - break - f.close() - return nnodes - - except OSError as err: - print("OS error: {0}".format(err)) - except ValueError: - print("Could not convert data to an integer.") - except: - print("Unexpected error:", sys.exc_info()[0]) - raise - - def readNodes(self): - try: - f = open(self.filename, 'r') - for line in f: - if line.startswith('$Nodes'): - nnodes = int(f.readline()) - nodes = np.zeros((nnodes,3)) - for n in np.arange(nnodes): - tmp = re.split(r' ', f.readline()) - nodes[n,0] = tmp[1] - nodes[n,1] = tmp[2] - nodes[n,2] = tmp[3] - - break - f.close() - return nodes - - except OSError as err: - print("OS error: {0}".format(err)) - except ValueError: - print("Could not convert data to an integer.") - except: - print("Unexpected error:", sys.exc_info()[0]) - raise - - - def getNumberOfElements(self, eltype=0): - try: - f = open(self.filename, 'r') - for line in f: - if line.startswith('$Elements'): - nelem = int(f.readline()) - if eltype != 0: - nel = 0 - for n in np.arange(nelem): - tmp = re.split(r' ', f.readline()) - if eltype == int(tmp[1]): - nel += 1 - nelem = nel - break - f.close() - return nelem - - except OSError as err: - print("OS error: {0}".format(err)) - except ValueError: - print("Could not convert data to an integer.") - except: - print("Unexpected error:", sys.exc_info()[0]) - raise - - def readTriangleElements(self, get_physical_entity=False): - try: - f = open(self.filename, 'r') - for line in f: - if line.startswith('$Elements'): - nelem = int(f.readline()) - triangles = np.ndarray((nelem,3), dtype = np.int64) - if get_physical_entity: - physical_entity = np.ndarray((nelem,), dtype = np.int64) - nt = 0 - for n in np.arange(nelem): - tmp = re.split(r' ', f.readline()) - if tmp[1] == '2': - nTags = int(tmp[2]) - triangles[nt,0] = tmp[nTags+3] - triangles[nt,1] = tmp[nTags+4] - triangles[nt,2] = tmp[nTags+5] - if get_physical_entity: - if nTags > 1: - physical_entity[nt] = tmp[2] # By default, the first tag is the number of the physical entity to which the element belongs - else: - physical_entity[nt] = np.nan - nt += 1 - break - if get_physical_entity: - return triangles[:nt,:]-1, physical_entity[:nt]-1 # indices start at 0 in python - else: - return triangles[:nt,:]-1 # indices start at 0 in python - - except OSError as err: - print("OS error: {0}".format(err)) - except ValueError: - print("Could not convert data to an integer.") - except: - print("Unexpected error:", sys.exc_info()[0]) - raise - - def readTetraherdonElements(self, get_physical_entity=False): - try: - f = open(self.filename, 'r') - for line in f: - if line.startswith('$Elements'): - nelem = int(f.readline()) - tetrahedra = np.ndarray((nelem,4), dtype = np.int64) - if get_physical_entity: - physical_entity = np.ndarray((nelem,), dtype = np.int64) - nt = 0 - for n in np.arange(nelem): - tmp = re.split(r' ', f.readline()) - if tmp[1] == '4': - nTags = int(tmp[2]) - tetrahedra[nt,0] = tmp[nTags+3] - tetrahedra[nt,1] = tmp[nTags+4] - tetrahedra[nt,2] = tmp[nTags+5] - tetrahedra[nt,3] = tmp[nTags+6] - if get_physical_entity: - if nTags > 1: - physical_entity[nt] = tmp[2] # By default, the first tag is the number of the physical entity to which the element belongs - else: - physical_entity[nt] = np.nan - nt += 1 - break - if get_physical_entity: - return tetrahedra[:nt,:]-1, physical_entity[:nt]-1 # indices start at 0 in python - else: - return tetrahedra[:nt,:]-1 # indices start at 0 in python - - except OSError as err: - print("OS error: {0}".format(err)) - except ValueError: - print("Could not convert data to an integer.") - except: - print("Unexpected error:", sys.exc_info()[0]) - raise - - - - - - - -class Mesh: - """ - Superclass for 2D and 3D Meshes - """ - - def __init__(self): - self.nodes = np.ndarray([]) - self.cells = np.ndarray([]) # can be triangles (2D/3D) or tetrahedra (3D) - - def getNumberOfNodes(self): - return self.nodes.shape[0] - - def getNumberOfCells(self): - return self.cells.shape[0] - - - - - -class meshTriangle3D(Mesh): - def __init__(self, nod, tri): - self.cells = np.array(tri) - itr = np.unique(tri) - for n in np.arange(itr.size): - i,j = np.nonzero(tri == itr[n]) - self.cells[i,j] = n - self.nodes = np.array(nod[itr,:]) - - def projz(self, pt): - ind = self.ni(pt) - if np.size( ind ) > 0: - return np.array(self.nodes[ind,:]) - else: - p = np.array(pt) - p[2] = 0.0 - - d = np.sqrt( (self.nodes[:,0]-p[0])**2 + (self.nodes[:,1]-p[1])**2 ) - iclosest = np.argmin(d) - # find second closest - d[iclosest] *= 1e6 - isecond = np.argmin(d) - # find next closest - d[isecond] *= 1e6 - ithird = np.argmin(d) - itri,jtri = np.nonzero(np.logical_or(np.logical_or(self.cells == iclosest, self.cells == isecond), - self.cells == ithird)) - - for i in itri: - a = np.array(self.nodes[self.cells[i,0],:]) - b = np.array(self.nodes[self.cells[i,1],:]) - c = np.array(self.nodes[self.cells[i,2],:]) - a[2] = 0.0 - b[2] = 0.0 - c[2] = 0.0 - if meshTriangle3D.insideTriangle(p, a, b, c) == True: - a[:] = self.nodes[self.cells[i,0],:] - b[:] = self.nodes[self.cells[i,1],:] - c[:] = self.nodes[self.cells[i,2],:] - -# import matplotlib.pyplot as plt -# fig = plt.figure() -# ax = fig.add_subplot(1,1,1) -# ax.plot([a[0], b[0], c[0], a[0]], [a[1], b[1], c[1], a[1]]) -# ax.hold(True) -# ax.plot(p[0], p[1],'rv') -# ax.hold(False) -# plt.show() - - p[2] = np.min(self.nodes[:,2]) - 100.0 # make sure pt is below mesh - # now project vertically - v = np.array([0.0, 0.0, 1.0]) # point upward - pa = a-p - pb = b-p - pc = c-p - - A = np.vstack((pa, pb, pc)).T - x = np.linalg.solve(A, v) - G = (x[0]*a + x[1]*b + x[2]*c)/np.sum(x) - return G - else: - - import matplotlib.pyplot as plt - fig = plt.figure() - ax = fig.add_subplot(1,1,1) - ax.plot(p[0], p[1],'rv') - ax.axis('equal') - ax.hold(True) - ax.plot(self.nodes[iclosest,0], self.nodes[iclosest,1],'ko') - for i in itri: - a = np.array(self.nodes[self.cells[i,0],:]) - b = np.array(self.nodes[self.cells[i,1],:]) - c = np.array(self.nodes[self.cells[i,2],:]) - a[2] = 0.0 - b[2] = 0.0 - c[2] = 0.0 - ax.plot([a[0], b[0], c[0], a[0]], [a[1], b[1], c[1], a[1]]) - ax.hold(False) - plt.show() - - - print('Houston! We have a problem') - - - - def ni(self, pt): - """ - Check if pt is one of the nodes - """ - ind = [] - for n in np.arange(self.nodes.shape[0]): - if np.sqrt( np.sum( (self.nodes[n,:]-pt)**2 ) ) < 0.0001: - ind.append(n) - return ind - - - def getVtkUnstructuredGrid(self): - tPts = vtk.vtkPoints() - ugrid = vtk.vtkUnstructuredGrid() - tPts.SetNumberOfPoints(self.nodes.shape[0]) - for n in np.arange(self.nodes.shape[0]): - tPts.InsertPoint(n, self.nodes[n,0], self.nodes[n,1], self.nodes[n,2]) - ugrid.SetPoints(tPts) - tri = vtk.vtkTriangle() - for n in np.arange(self.cells.shape[0]): - tri.GetPointIds().SetId(0, self.cells[n,0]) - tri.GetPointIds().SetId(1, self.cells[n,1]) - tri.GetPointIds().SetId(2, self.cells[n,2]) - ugrid.InsertNextCell( tri.GetCellType(), tri.GetPointIds() ) - - return ugrid - - - @staticmethod - @jit - def insideTriangle(p, a, b, c): - a -= p - b -= p - c -= p - u = np.cross(b, c) - v = np.cross(c, a) - if np.dot(u, v) < 0.0: - return False - w = np.cross(a, b) - if np.dot(u, w) < 0.0: - return False - return True - - -class MeshTetrahedra(Mesh): - - def __init__(self, nthreads=1): - Mesh.__init__(self) - self.nthreads = nthreads - self.cmesh = None - - @jit - def buildFromMSH(self, filename): - reader = MSHReader(filename) - nodes = reader.readNodes() - tet = reader.readTetraherdonElements() - self.cells = np.array(tet) - itet = np.unique(tet) - for n in np.arange(itet.size): - i,j = np.nonzero(tet == itet[n]) - self.cells[i,j] = n - self.nodes = np.array(nodes[itet,:]) - - def get_centroids(self): - cent = np.zeros((self.cells.shape[0], 3)) - for nc in np.arange(self.cells.shape[0]): - cent[nc, :] = 0.25 * np.sum(self.nodes[self.cells[nc,:], :], axis=0) - return cent - - def get_volume(self): - vol = np.zeros((self.cells.shape[0], )) - cte = 1.0 / 6.0 - for nc in np.arange(self.cells.shape[0]): - a = self.nodes[self.cells[nc, 1], :] - self.nodes[self.cells[nc, 0], :] - b = self.nodes[self.cells[nc, 2], :] - self.nodes[self.cells[nc, 0], :] - c = self.nodes[self.cells[nc, 3], :] - self.nodes[self.cells[nc, 0], :] - vol[nc] = cte * np.abs(np.dot(a, np.cross(b, c))) - return vol - - def get_gamma(self): - gamma = np.zeros((self.cells.shape[0], )) - cte = 12.0*np.sqrt(3.0) - for nc in np.arange(self.cells.shape[0]): - P1 = self.nodes[self.cells[nc, 0], :] - P2 = self.nodes[self.cells[nc, 1], :] - P3 = self.nodes[self.cells[nc, 2], :] - P4 = self.nodes[self.cells[nc, 3], :] - a = P2 - P1 - b = P3 - P1 - c = P4 - P1 - num = cte * np.abs(np.dot(a, np.cross(b, c))) - sum_l = np.sum( (P2-P1)**2 ) - sum_l += np.sum( (P3-P1)**2 ) - sum_l += np.sum( (P4-P1)**2 ) - sum_l += np.sum( (P3-P2)**2 ) - sum_l += np.sum( (P4-P2)**2 ) - sum_l += np.sum( (P4-P3)**2 ) - gamma[nc] = num / sum_l**1.5 - return gamma - - def raytrace(self, slowness, Tx, Rx, t0=()): - nout = nargout() - if nout != 1 and nout != 3 and nout != 4: - raise SyntaxError('MeshTetrahedra.raytrace: 1, 3 or 4 output arguments allowed') - # check input data consistency - - if Tx.ndim != 2 or Rx.ndim != 2: - raise ValueError('Tx and Rx should be 2D arrays') - - if Tx.shape[1] != 3 or Rx.shape[1] != 3: - raise ValueError('Tx and Rx should be ndata x 3') - - if Tx.shape != Rx.shape: - raise ValueError('Tx and Rx should be of equal size') - - if len(slowness) != self.getNumberOfNodes(): - raise ValueError('Length of slowness vector should equal number of nodes') - - if len(t0) == 0: - t0 = np.zeros([Tx.shape[0],]) - elif len(t0) != Tx.shape[0]: - raise ValueError('Length of t0 should equal number of Tx') - - if self.cmesh == None: - eps = 1.0e-15 - rp_method = 1 - maxit = 20 - self.cmesh = cmesh3d.Mesh3Dcpp(self.nodes, self.cells, eps, maxit, rp_method, self.nthreads) - - if nout == 1: - tt = self.cmesh.raytrace(slowness, Tx, Rx, t0) - return tt - elif nout == 3: - tt, rays, v0 = self.cmesh.raytrace(slowness, Tx, Rx, t0) - return tt, rays, v0 -# elif nout == 4: -# tt, rays, v0, M = self.cmesh.raytrace(slowness, Tx, Rx, t0) -# return tt, rays, v0, M - - - - - -if __name__ == '__main__': - - test_2d = True - test_3d = True - - if test_2d: - reader = MSHReader('/Users/giroux/CloudStation/Projets/ArcelorMittal/analyse_config/topo.msh') - - print(reader.is2D()) - print(reader.getNumberOfElements()) - print(reader.getNumberOfElements(2)) - - nodes = reader.readNodes() - tri = reader.readTriangleElements() - print(tri.shape) - - import mayavi.mlab as mm - mm.figure() - mm.triangular_mesh(nodes[:,0], nodes[:,1], nodes[:,2], tri, color=(0, 0, 1)) - mm.show() - - - mesh = meshTriangle3D(nodes, tri) - - p = np.array([305105.0, 5723733.0, 100.0]) - - mesh.projz(p) - - if test_3d: - - msh = MeshTetrahedra() - msh.buildFromMSH('/Users/giroux/JacquesCloud/Projets/spm_fmm_fsm/dspm/fig01/Model1a.msh') - - cent = msh.get_centroids() - gamma = msh.get_gamma() diff --git a/ttcrpy/utils.py b/ttcrpy/utils.py deleted file mode 100644 index 8801d79e..00000000 --- a/ttcrpy/utils.py +++ /dev/null @@ -1,52 +0,0 @@ -# -*- coding: utf-8 -*- - -""" - Created on Tue Jun 21 20:55:29 2016 - - @author: giroux - - Copyright 2016 Bernard Giroux - email: bernard.giroux@ete.inrs.ca - - This program is free software: you can redistribute it and/or modify - it under the terms of the GNU General Public License as published by - the Free Software Foundation, either version 3 of the License, or - (at your option) any later version. - - This program is distributed in the hope that it /will be useful, - but WITHOUT ANY WARRANTY; without even the implied warranty of - MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the - GNU General Public License for more details. - - You should have received a copy of the GNU General Public License - along with this program. If not, see . -""" - -import dis -import inspect -import sys - - -def nargout(): - """ - Return how many values the caller is expecting - - taken from - http://stackoverflow.com/questions/16488872/python-check-for-the-number-of-output-arguments-a-function-is-called-with - """ - if sys.version_info[1] > 5: - off = 1 - else: - off = 0 - f = inspect.currentframe() - f = f.f_back.f_back - c = f.f_code - i = f.f_lasti - bytecode = c.co_code - instruction = bytecode[i+3-off] - if instruction == dis.opmap['UNPACK_SEQUENCE']: - howmany = bytecode[i+4-off] - return howmany - elif instruction == dis.opmap['POP_TOP']: - return 0 - return 1