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Mort3devectorlrkspace_double.cc
2940 lines (2404 loc) · 94.4 KB
/
Mort3devectorlrkspace_double.cc
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/* 3-D two-components elastic wavefield extrapolation
using low-rank approximate PS solution on the base of
displacement wave equation in ORT media.
Copyright (C) 2014 Tongji University, Shanghai, China
Authors: Jiubing Cheng
modified by Peng Zou in 2015
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 2 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, write to the Free Software
Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
*/
#include <rsf.hh>
#include <assert.h>
/* low rank decomposition */
#include "vecmatop.hh"
#include "serialize.hh"
using namespace std;
/* prepared head files by myself */
#include "_cjb.h"
#include<fftw3.h>
/* head files aumatically produced from C programs */
extern "C"{
#include "zero.h"
#include "ricker.h"
#include "kykxkztaper.h"
#include "fwpvtielowrank.h"
#include "decomplowrank.h"
#include "vti2tti.h"
#include "eigen3x3.h"
}
static float *c11,*c12,*c13,*c14,*c15,*c16,
*c22,*c23,*c24,*c25,*c26,
*c33,*c34,*c35,*c36,
*c44,*c45,*c46,
*c55,*c56,
*c66;
static double dt1, dt2;
static std::valarray<double> rkx,rky,rkz,rk2;
static std::valarray<float> vp, vs, ep1, ep2, de1, de2, de3, ga1, ga2, th, ph;
/* dual-domain operators based on low-rank decomp. */
int sampleopx1(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleopx2(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleopx3(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleopy1(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleopy2(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleopy3(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleopz1(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleopz2(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleopz3(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleosx1(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleosx2(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleosx3(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleosy1(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleosy2(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleosy3(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleosz1(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleosz2(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleosz3(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
int sampleosz3(vector<int>& rs, vector<int>& cs, DblNumMat& resx);
static void map2d1d(double *d, DblNumMat mat, int m, int n);
/*****************************************************************************************/
int main(int argc, char* argv[])
{
sf_init(argc,argv);
fftwf_init_threads();
omp_init();
clock_t t1, t2, t3;
float timespent;
t1=clock();
int i,j,k;
iRSF par(0);
int seed;
par.get("seed",seed,time(NULL)); // seed for random number generator
srand48(seed);
float eps;
par.get("eps",eps,1.e-6); // tolerance
int npk;
par.get("npk",npk,20); // maximum rank
int ns;
float dt;
par.get("ns",ns);
par.get("dt",dt);
dt1=(double)dt;
dt2=(double)(dt*dt);
sf_warning("ns=%d dt=%f",ns,dt);
sf_warning("npk=%d ",npk);
sf_warning("eps=%f",eps);
sf_warning("read velocity model parameters");
/* setup I files */
iRSF vp0, vs0("vs0"), epsi1("epsi1"),epsi2("epsi2"),del1("del1"),del2("del2"),
del3("del3"), gam1("gam1"),gam2("gam2"),the("the"),phi("phi");
/* Read/Write axes */
int nxv,nyv,nzv;
vp0.get("n1",nzv);
vp0.get("n2",nxv);
vp0.get("n3",nyv);
float az, ax,ay;
vp0.get("o1",az);
vp0.get("o2",ax);
vp0.get("o3",ay);
float fx,fy,fz;
fx=ax*1000.0;
fy=ay*1000.0;
fz=az*1000.0;
float dx,dy,dz;
vp0.get("d1",az);
vp0.get("d2",ax);
vp0.get("d3",ay);
dz = az*1000.0;
dx = ax*1000.0;
dy = ay*1000.0;
/* wave modeling space */
int nx,ny,nz,nxz,nxyz;
nx=nxv;
ny=nyv;
nz=nzv;
nxz=nx*nz;
nxyz=nx*ny*nz;
sf_warning("nx=%d ny=%d nz=%d",nx,ny,nz);
sf_warning("dx=%f dy=%f dz=%f",dx,dy,dz);
sf_warning("~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~");
sf_warning("Warning: 2nd-order spectral need odd-based FFT");
sf_warning("Warning: 2nd-order spectral need odd-based FFT");
sf_warning("Warning: 2nd-order spectral need odd-based FFT");
sf_warning("Warning: 2nd-order spectral need odd-based FFT");
sf_warning("~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~");
vp.resize(nxyz);
vs.resize(nxyz);
ep1.resize(nxyz);
ep2.resize(nxyz);
de1.resize(nxyz);
de2.resize(nxyz);
de3.resize(nxyz);
ga1.resize(nxyz);
ga2.resize(nxyz);
th.resize(nxyz);
ph.resize(nxyz);
c11 = sf_floatalloc(nxyz);
c12 = sf_floatalloc(nxyz);
c13 = sf_floatalloc(nxyz);
c14 = sf_floatalloc(nxyz);
c15 = sf_floatalloc(nxyz);
c16 = sf_floatalloc(nxyz);
c22 = sf_floatalloc(nxyz);
c23 = sf_floatalloc(nxyz);
c24 = sf_floatalloc(nxyz);
c25 = sf_floatalloc(nxyz);
c26 = sf_floatalloc(nxyz);
c33 = sf_floatalloc(nxyz);
c34 = sf_floatalloc(nxyz);
c35 = sf_floatalloc(nxyz);
c36 = sf_floatalloc(nxyz);
c44 = sf_floatalloc(nxyz);
c45 = sf_floatalloc(nxyz);
c46 = sf_floatalloc(nxyz);
c55 = sf_floatalloc(nxyz);
c56 = sf_floatalloc(nxyz);
c66 = sf_floatalloc(nxyz);
vp0>>vp;
vs0>>vs;
epsi1>>ep1;
epsi2>>ep2;
del1>>de1;
del2>>de2;
del3>>de3;
gam1>>ga1;
gam2>>ga2;
the>>th;
phi>>ph;
for(i=0;i<nxyz;i++)
{
th[i] *= SF_PI/180.0;
ph[i] *= SF_PI/180.0;
}
float *vp_1,*vs_1,*ep_1,*ep_2,*de_1,*de_2,*de_3,*ga_1,*ga_2,*th_1,*ph_1;
vp_1 = sf_floatalloc(nxyz);
vs_1 = sf_floatalloc(nxyz);
ep_1 = sf_floatalloc(nxyz);
ep_2 = sf_floatalloc(nxyz);
de_1 = sf_floatalloc(nxyz);
de_2 = sf_floatalloc(nxyz);
de_3 = sf_floatalloc(nxyz);
ga_1 = sf_floatalloc(nxyz);
ga_2 = sf_floatalloc(nxyz);
th_1 = sf_floatalloc(nxyz);
ph_1 = sf_floatalloc(nxyz);
for(int i=0;i<nxyz;i++)
{
vp_1[i] = vp[i];
vs_1[i] = vs[i];
de_1[i] = de1[i];
de_2[i] = de2[i];
de_3[i] = de3[i];
ep_1[i] = ep1[i];
ep_2[i] = ep2[i];
ga_1[i] = ga1[i];
ga_2[i] = ga2[i];
th_1[i] = th[i];
ph_1[i] = ph[i];
}
Thomson2stiffness_ort(vp_1,vs_1,ep_1,ep_2,de_1,de_2,de_3,ga_1,ga_2,th_1,ph_1,c11,c12,c13,c14,c15,c16,
c22,c23,c24,c25,c26,c33,c34,c35,c36,c44,c45,c46,c55,c56,c66,nx, ny, nz);
free(vp_1);
free(vs_1);
free(ep_1);
free(ep_2);
free(de_1);
free(de_2);
free(de_3);
free(ga_1);
free(ga_2);
free(th_1);
free(ph_1);
/* Fourier spectra demension */
int nkz,nkx,nky,nk;
nkx=nx;
nky=ny;
nkz=nz;
nk = nkx*nky*nkz;
float dkz,dkx,dky,kz0,kx0,ky0;
dkx=2*SF_PI/dx/nx;
dky=2*SF_PI/dy/ny;
dkz=2*SF_PI/dz/nz;
kx0=-SF_PI/dx;
ky0=-SF_PI/dy;
kz0=-SF_PI/dz;
sf_warning("dkx=%f dky=%f dkz=%f",dkx,dky,dkz);
rkx.resize(nk);
rky.resize(nk);
rkz.resize(nk);
rk2.resize(nk);
double kx, kz,ky,rk, k2;
int ix,iy,iz;
i = 0;
for(iy=0; iy < nky; iy++)
{
ky = ky0+iy*dky;
for(ix=0; ix < nkx; ix++)
{
kx = kx0+ix*dkx;
for (iz=0; iz < nkz; iz++)
{
kz = kz0+iz*dkz;
k2 = ky*ky+kx*kx+kz*kz;
rk = sqrt(k2);
rky[i] = ky/rk;
rkx[i] = kx/rk;
rkz[i] = kz/rk;
rk2[i] = k2;
i++;
}
}
}
vector<int> md(nxyz), nd(nk);
for (k=0; k < nxyz; k++) md[k] = k;
for (k=0; k < nk; k++) nd[k] = k;
vector<int> lid, rid;
DblNumMat mid, mat;
int jump = 2;
vector<int> ms, nss, js;
ms.resize(3); ms[0] = nz; ms[1] = nx; ms[2] = ny;
nss.resize(3); nss[0] = nz; nss[1] = nx; nss[2] = ny;
js.resize(3); js[0] = jump; js[1] = jump; js[2] = jump;
/********* qP-wave low rank decomposition of operator BxAx + BxyAxy + BxzAxz applying to ux for updating ux **********/
int m2opx1, n2opx1;
double *ldataopx1, *fmidopx1, *rdataopx1;
iC( ddlowrank(ms,nss,js,sampleopx1,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleopx1,eps,npk,lid,rid,mid) );
m2opx1=mid.m();
n2opx1=mid.n();
sf_warning("m2opx1=%d n2opx1=%d",m2opx1, n2opx1);
fmidopx1 = (double*)malloc(sizeof(double)*m2opx1*n2opx1);
ldataopx1 = (double*)malloc(sizeof(double)*nxyz*m2opx1);
rdataopx1 = (double*)malloc(sizeof(double)*n2opx1*nk);
map2d1d(fmidopx1, mid, m2opx1, n2opx1);
iC ( sampleopx1(md,lid,mat) );
map2d1d(ldataopx1, mat, nxyz, m2opx1);
iC ( sampleopx1(rid,nd,mat) );
map2d1d(rdataopx1, mat, n2opx1, nk);
/********* qP-wave low rank decomposition of operator BxAxy + BxyAy + BxzAyz applying to uy for updating ux **********/
int m2opx2, n2opx2;
double *ldataopx2, *fmidopx2, *rdataopx2;
iC( ddlowrank(ms,nss,js,sampleopx2,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleopx2,eps,npk,lid,rid,mid) );
m2opx2=mid.m();
n2opx2=mid.n();
sf_warning("m2opx2=%d n2opx2=%d",m2opx2, n2opx2);
fmidopx2 = (double*)malloc(sizeof(double)*m2opx2*n2opx2);
ldataopx2 = (double*)malloc(sizeof(double)*nxyz*m2opx2);
rdataopx2 = (double*)malloc(sizeof(double)*n2opx2*nk);
map2d1d(fmidopx2, mid, m2opx2, n2opx2);
iC ( sampleopx2(md,lid,mat) );
map2d1d(ldataopx2, mat, nxyz, m2opx2);
iC ( sampleopx2(rid,nd,mat) );
map2d1d(rdataopx2, mat, n2opx2, nk);
/********* qP-wave low rank decomposition of operator BxAxz + BxyAyz + BxzAz applying to uz for updating ux **********/
int m2opx3, n2opx3;
double *ldataopx3, *fmidopx3, *rdataopx3;
iC( ddlowrank(ms,nss,js,sampleopx3,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleopx3,eps,npk,lid,rid,mid) );
m2opx3=mid.m();
n2opx3=mid.n();
sf_warning("m2opx3=%d n2opx3=%d",m2opx3, n2opx3);
fmidopx3 = (double*)malloc(sizeof(double)*m2opx3*n2opx3);
ldataopx3 = (double*)malloc(sizeof(double)*nxyz*m2opx3);
rdataopx3 = (double*)malloc(sizeof(double)*n2opx3*nk);
map2d1d(fmidopx3, mid, m2opx3, n2opx3);
iC ( sampleopx3(md,lid,mat) );
map2d1d(ldataopx3, mat, nxyz, m2opx3);
iC ( sampleopx3(rid,nd,mat) );
map2d1d(rdataopx3, mat, n2opx3, nk);
/********* qP-wave low rank decomposition of operator BxyAx + ByAxy + ByzAxz applying to ux for updating uy **********/
int m2opy1, n2opy1;
double *ldataopy1, *fmidopy1, *rdataopy1;
iC( ddlowrank(ms,nss,js,sampleopy1,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleopy1,eps,npk,lid,rid,mid) );
m2opy1=mid.m();
n2opy1=mid.n();
sf_warning("m2opy1=%d n2opy1=%d",m2opy1, n2opy1);
fmidopy1 = (double*)malloc(sizeof(double)*m2opy1*n2opy1);
ldataopy1 = (double*)malloc(sizeof(double)*nxyz*m2opy1);
rdataopy1 = (double*)malloc(sizeof(double)*n2opy1*nk);
map2d1d(fmidopy1, mid, m2opy1, n2opy1);
iC ( sampleopy1(md,lid,mat) );
map2d1d(ldataopy1, mat, nxyz, m2opy1);
iC ( sampleopy1(rid,nd,mat) );
map2d1d(rdataopy1, mat, n2opy1, nk);
/********* qP-wave low rank decomposition of operator BxyAxy + ByAy + ByzAyz applying to uy for updating uy **********/
int m2opy2, n2opy2;
double *ldataopy2, *fmidopy2, *rdataopy2;
iC( ddlowrank(ms,nss,js,sampleopy2,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleopy2,eps,npk,lid,rid,mid) );
m2opy2=mid.m();
n2opy2=mid.n();
sf_warning("m2opy2=%d n2opy2=%d",m2opy2, n2opy2);
fmidopy2 = (double*)malloc(sizeof(double)*m2opy2*n2opy2);
ldataopy2 = (double*)malloc(sizeof(double)*nxyz*m2opy2);
rdataopy2 = (double*)malloc(sizeof(double)*n2opy2*nk);
map2d1d(fmidopy2, mid, m2opy2, n2opy2);
iC ( sampleopy2(md,lid,mat) );
map2d1d(ldataopy2, mat, nxyz, m2opy2);
iC ( sampleopy2(rid,nd,mat) );
map2d1d(rdataopy2, mat, n2opy2, nk);
/********* qP-wave low rank decomposition of operator BxyAxz + ByAyz + ByzAz applying to uz for updating uy **********/
int m2opy3, n2opy3;
double *ldataopy3, *fmidopy3, *rdataopy3;
iC( ddlowrank(ms,nss,js,sampleopy3,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleopy3,eps,npk,lid,rid,mid) );
m2opy3=mid.m();
n2opy3=mid.n();
sf_warning("m2opy3=%d n2opy3=%d",m2opy3, n2opy3);
fmidopy3 = (double*)malloc(sizeof(double)*m2opy3*n2opy3);
ldataopy3 = (double*)malloc(sizeof(double)*nxyz*m2opy3);
rdataopy3 = (double*)malloc(sizeof(double)*n2opy3*nk);
map2d1d(fmidopy3, mid, m2opy3, n2opy3);
iC ( sampleopy3(md,lid,mat) );
map2d1d(ldataopy3, mat, nxyz, m2opy3);
iC ( sampleopy3(rid,nd,mat) );
map2d1d(rdataopy3, mat, n2opy3, nk);
/********* qP-wave low rank decomposition of operator BxzAx + ByzAxy + BzAxz applying to ux for updating uz **********/
int m2opz1, n2opz1;
double *ldataopz1, *fmidopz1, *rdataopz1;
iC( ddlowrank(ms,nss,js,sampleopz1,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleopz1,eps,npk,lid,rid,mid) );
m2opz1=mid.m();
n2opz1=mid.n();
sf_warning("m2opz1=%d n2opz1=%d",m2opz1, n2opz1);
fmidopz1 = (double*)malloc(sizeof(double)*m2opz1*n2opz1);
ldataopz1 = (double*)malloc(sizeof(double)*nxyz*m2opz1);
rdataopz1 = (double*)malloc(sizeof(double)*n2opz1*nk);
map2d1d(fmidopz1, mid, m2opz1, n2opz1);
iC ( sampleopz1(md,lid,mat) );
map2d1d(ldataopz1, mat, nxyz, m2opz1);
iC ( sampleopz1(rid,nd,mat) );
map2d1d(rdataopz1, mat, n2opz1, nk);
/********* qP-wave low rank decomposition of operator BxzAxy + ByzAy + BzAyz applying to uy for updating uz **********/
int m2opz2, n2opz2;
double *ldataopz2, *fmidopz2, *rdataopz2;
iC( ddlowrank(ms,nss,js,sampleopz2,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleopz2,eps,npk,lid,rid,mid) );
m2opz2=mid.m();
n2opz2=mid.n();
sf_warning("m2opz2=%d n2opz2=%d",m2opz2, n2opz2);
fmidopz2 = (double*)malloc(sizeof(double)*m2opz2*n2opz2);
ldataopz2 = (double*)malloc(sizeof(double)*nxyz*m2opz2);
rdataopz2 = (double*)malloc(sizeof(double)*n2opz2*nk);
map2d1d(fmidopz2, mid, m2opz2, n2opz2);
iC ( sampleopz2(md,lid,mat) );
map2d1d(ldataopz2, mat, nxyz, m2opz2);
iC ( sampleopz2(rid,nd,mat) );
map2d1d(rdataopz2, mat, n2opz2, nk);
/********* qP-wave low rank decomposition of operator BxzAxz + ByzAyz + BzAz applying to uz for updating uz **********/
int m2opz3, n2opz3;
double *ldataopz3, *fmidopz3, *rdataopz3;
iC( ddlowrank(ms,nss,js,sampleopz3,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleopz3,eps,npk,lid,rid,mid) );
m2opz3=mid.m();
n2opz3=mid.n();
sf_warning("m2opz3=%d n2opz3=%d",m2opz3, n2opz3);
fmidopz3 = (double*)malloc(sizeof(double)*m2opz3*n2opz3);
ldataopz3 = (double*)malloc(sizeof(double)*nxyz*m2opz3);
rdataopz3 = (double*)malloc(sizeof(double)*n2opz3*nk);
map2d1d(fmidopz3, mid, m2opz3, n2opz3);
iC ( sampleopz3(md,lid,mat) );
map2d1d(ldataopz3, mat, nxyz, m2opz3);
iC ( sampleopz3(rid,nd,mat) );
map2d1d(rdataopz3, mat, n2opz3, nk);
/********* qS-wave low rank decomposition of operator BxAx + BxyAxy + BxzAxz applying to ux for updating ux **********/
int m2osx1, n2osx1;
double *ldataosx1, *fmidosx1, *rdataosx1;
iC( ddlowrank(ms,nss,js,sampleosx1,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleosx1,eps,npk,lid,rid,mid) );
m2osx1=mid.m();
n2osx1=mid.n();
sf_warning("m2osx1=%d n2osx1=%d",m2osx1, n2osx1);
fmidosx1 = (double*)malloc(sizeof(double)*m2osx1*n2osx1);
ldataosx1 = (double*)malloc(sizeof(double)*nxyz*m2osx1);
rdataosx1 = (double*)malloc(sizeof(double)*n2osx1*nk);
map2d1d(fmidosx1, mid, m2osx1, n2osx1);
iC ( sampleosx1(md,lid,mat) );
map2d1d(ldataosx1, mat, nxyz, m2osx1);
iC ( sampleosx1(rid,nd,mat) );
map2d1d(rdataosx1, mat, n2osx1, nk);
/********* qS-wave low rank decomposition of operator BxAxy + BxyAy + BxzAyz applying to uy for updating ux **********/
int m2osx2, n2osx2;
double *ldataosx2, *fmidosx2, *rdataosx2;
iC( ddlowrank(ms,nss,js,sampleosx2,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleosx2,eps,npk,lid,rid,mid) );
m2osx2=mid.m();
n2osx2=mid.n();
sf_warning("m2osx2=%d n2osx2=%d",m2osx2, n2osx2);
fmidosx2 = (double*)malloc(sizeof(double)*m2osx2*n2osx2);
ldataosx2 = (double*)malloc(sizeof(double)*nxyz*m2osx2);
rdataosx2 = (double*)malloc(sizeof(double)*n2osx2*nk);
map2d1d(fmidosx2, mid, m2osx2, n2osx2);
iC ( sampleosx2(md,lid,mat) );
map2d1d(ldataosx2, mat, nxyz, m2osx2);
iC ( sampleosx2(rid,nd,mat) );
map2d1d(rdataosx2, mat, n2osx2, nk);
/********* qS-wave low rank decomposition of operator BxAxz + BxyAyz + BxzAz applying to uz for updating ux **********/
int m2osx3, n2osx3;
double *ldataosx3, *fmidosx3, *rdataosx3;
iC( ddlowrank(ms,nss,js,sampleosx3,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleosx3,eps,npk,lid,rid,mid) );
m2osx3=mid.m();
n2osx3=mid.n();
sf_warning("m2osx3=%d n2osx3=%d",m2osx3, n2osx3);
fmidosx3 = (double*)malloc(sizeof(double)*m2osx3*n2osx3);
ldataosx3 = (double*)malloc(sizeof(double)*nxyz*m2osx3);
rdataosx3 = (double*)malloc(sizeof(double)*n2osx3*nk);
map2d1d(fmidosx3, mid, m2osx3, n2osx3);
iC ( sampleosx3(md,lid,mat) );
map2d1d(ldataosx3, mat, nxyz, m2osx3);
iC ( sampleosx3(rid,nd,mat) );
map2d1d(rdataosx3, mat, n2osx3, nk);
/********* qS-wave low rank decomposition of operator BxyAx + ByAxy + ByzAxz applying to ux for updating uy **********/
int m2osy1, n2osy1;
double *ldataosy1, *fmidosy1, *rdataosy1;
iC( ddlowrank(ms,nss,js,sampleosy1,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleosy1,eps,npk,lid,rid,mid) );
m2osy1=mid.m();
n2osy1=mid.n();
sf_warning("m2osy1=%d n2osy1=%d",m2osy1, n2osy1);
fmidosy1 = (double*)malloc(sizeof(double)*m2osy1*n2osy1);
ldataosy1 = (double*)malloc(sizeof(double)*nxyz*m2osy1);
rdataosy1 = (double*)malloc(sizeof(double)*n2osy1*nk);
map2d1d(fmidosy1, mid, m2osy1, n2osy1);
iC ( sampleosy1(md,lid,mat) );
map2d1d(ldataosy1, mat, nxyz, m2osy1);
iC ( sampleosy1(rid,nd,mat) );
map2d1d(rdataosy1, mat, n2osy1, nk);
/********* qS-wave low rank decomposition of operator BxyAxy + ByAy + ByzAyz applying to uy for updating uy **********/
int m2osy2, n2osy2;
double *ldataosy2, *fmidosy2, *rdataosy2;
iC( ddlowrank(ms,nss,js,sampleosy2,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleosy2,eps,npk,lid,rid,mid) );
m2osy2=mid.m();
n2osy2=mid.n();
sf_warning("m2osy2=%d n2osy2=%d",m2osy2, n2osy2);
fmidosy2 = (double*)malloc(sizeof(double)*m2osy2*n2osy2);
ldataosy2 = (double*)malloc(sizeof(double)*nxyz*m2osy2);
rdataosy2 = (double*)malloc(sizeof(double)*n2osy2*nk);
map2d1d(fmidosy2, mid, m2osy2, n2osy2);
iC ( sampleosy2(md,lid,mat) );
map2d1d(ldataosy2, mat, nxyz, m2osy2);
iC ( sampleosy2(rid,nd,mat) );
map2d1d(rdataosy2, mat, n2osy2, nk);
/********* qS-wave low rank decomposition of operator BxyAxz + ByAyz + ByzAz applying to uz for updating uy **********/
int m2osy3, n2osy3;
double *ldataosy3, *fmidosy3, *rdataosy3;
iC( ddlowrank(ms,nss,js,sampleosy3,eps,npk,lid,rid,mid) );
// iC( ddlowrank(nxyz,nk,sampleosy3,eps,npk,lid,rid,mid) );
m2osy3=mid.m();
n2osy3=mid.n();
sf_warning("m2osy3=%d n2osy3=%d",m2osy3, n2osy3);
fmidosy3 = (double*)malloc(sizeof(double)*m2osy3*n2osy3);
ldataosy3 = (double*)malloc(sizeof(double)*nxyz*m2osy3);
rdataosy3 = (double*)malloc(sizeof(double)*n2osy3*nk);
map2d1d(fmidosy3, mid, m2osy3, n2osy3);
iC ( sampleosy3(md,lid,mat) );
map2d1d(ldataosy3, mat, nxyz, m2osy3);
iC ( sampleosy3(rid,nd,mat) );
map2d1d(rdataosy3, mat, n2osy3, nk);
/********* qS-wave low rank decomposition of operator BxzAx + ByzAxy + BzAxz applying to ux for updating uz **********/
int m2osz1, n2osz1;
double *ldataosz1, *fmidosz1, *rdataosz1;
iC( ddlowrank(ms,nss,js,sampleosz1,eps,npk,lid,rid,mid) );
// iC( ddlowrank(nxyz,nk,sampleosz1,eps,npk,lid,rid,mid) );
m2osz1=mid.m();
n2osz1=mid.n();
sf_warning("m2osz1=%d n2osz1=%d",m2osz1, n2osz1);
fmidosz1 = (double*)malloc(sizeof(double)*m2osz1*n2osz1);
ldataosz1 = (double*)malloc(sizeof(double)*nxyz*m2osz1);
rdataosz1 = (double*)malloc(sizeof(double)*n2osz1*nk);
map2d1d(fmidosz1, mid, m2osz1, n2osz1);
iC ( sampleosz1(md,lid,mat) );
map2d1d(ldataosz1, mat, nxyz, m2osz1);
iC ( sampleosz1(rid,nd,mat) );
map2d1d(rdataosz1, mat, n2osz1, nk);
/********* qS-wave low rank decomposition of operator BxzAxy + ByzAy + BzAyz applying to uy for updating uz **********/
int m2osz2, n2osz2;
double *ldataosz2, *fmidosz2, *rdataosz2;
iC( ddlowrank(ms,nss,js,sampleosz2,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleosz2,eps,npk,lid,rid,mid) );
m2osz2=mid.m();
n2osz2=mid.n();
sf_warning("m2osz2=%d n2osz2=%d",m2osz2, n2osz2);
fmidosz2 = (double*)malloc(sizeof(double)*m2osz2*n2osz2);
ldataosz2 = (double*)malloc(sizeof(double)*nxyz*m2osz2);
rdataosz2 = (double*)malloc(sizeof(double)*n2osz2*nk);
map2d1d(fmidosz2, mid, m2osz2, n2osz2);
iC ( sampleosz2(md,lid,mat) );
map2d1d(ldataosz2, mat, nxyz, m2osz2);
iC ( sampleosz2(rid,nd,mat) );
map2d1d(rdataosz2, mat, n2osz2, nk);
/********* qS-wave low rank decomposition of operator BxzAxz + ByzAyz + BzAz applying to uz for updating uz **********/
int m2osz3, n2osz3;
double *ldataosz3, *fmidosz3, *rdataosz3;
iC( ddlowrank(ms,nss,js,sampleosz3,eps,npk,lid,rid,mid) );
//iC( ddlowrank(nxyz,nk,sampleosz3,eps,npk,lid,rid,mid) );
m2osz3=mid.m();
n2osz3=mid.n();
sf_warning("m2osz3=%d n2osz3=%d",m2osz3, n2osz3);
fmidosz3 = (double*)malloc(sizeof(double)*m2osz3*n2osz3);
ldataosz3 = (double*)malloc(sizeof(double)*nxyz*m2osz3);
rdataosz3 = (double*)malloc(sizeof(double)*n2osz3*nk);
map2d1d(fmidosz3, mid, m2osz3, n2osz3);
iC ( sampleosz3(md,lid,mat) );
map2d1d(ldataosz3, mat, nxyz, m2osz3);
iC ( sampleosz3(rid,nd,mat) );
map2d1d(rdataosz3, mat, n2osz3, nk);
/****************End of Calculating Projection Deviation Operator****************/
t2=clock();
timespent=(float)(t2-t1)/CLOCKS_PER_SEC;
sf_warning("CPU time for low-rank decomp: %f(second)",timespent);
/****************begin to calculate wavefield****************/
/****************begin to calculate wavefield****************/
/* wavelet parameter for source definition */
float A, f0, t0;
f0=30.0;
t0=0.04;
A=1.0;
sf_warning("fx=%f fy=%f fz=%f ",fx,fy,fz);
sf_warning("dx=%f dy=%f dz=%f ",dx,dy,dz);
sf_warning("nx=%d ny=%d nz=%d ",nx,ny,nz);
/* source definition */
int ixs, izs,iys;
ixs=nxv/2;
izs=nxv/2;
iys=nyv/2;
sf_warning("ixs=%d iys=%d izs=%d ", ixs,iys,izs);
/* setup I/O files */
oRSF Elasticx("out");
oRSF Elasticy("Elasticy");
oRSF Elasticz("Elasticz");
oRSF ElasticPx("ElasticPx");
oRSF ElasticPy("ElasticPy");
oRSF ElasticPz("ElasticPz");
oRSF ElasticSx("ElasticSx");
oRSF ElasticSy("ElasticSy");
oRSF ElasticSz("ElasticSz");
Elasticx.put("n1",nz);
Elasticx.put("n2",nx);
Elasticx.put("n3",ny);
Elasticx.put("d1",dz/1000);
Elasticx.put("d2",dx/1000);
Elasticx.put("d3",dy/1000);
Elasticx.put("o1",fz/1000);
Elasticx.put("o2",fx/1000);
Elasticx.put("o3",fy/1000);
Elasticy.put("n1",nz);
Elasticy.put("n2",nx);
Elasticy.put("n3",ny);
Elasticy.put("d1",dz/1000);
Elasticy.put("d2",dx/1000);
Elasticy.put("o1",fz/1000);
Elasticy.put("o2",fx/1000);
Elasticz.put("n1",nkz);
Elasticz.put("n2",nkx);
Elasticz.put("d1",dz/1000);
Elasticz.put("d2",dx/1000);
Elasticz.put("d3",dy/1000);
Elasticz.put("o1",fz/1000);
Elasticz.put("o2",fx/1000);
Elasticz.put("o3",fy/1000);
ElasticPx.put("n1",nz);
ElasticPx.put("n2",nx);
ElasticPx.put("n3",ny);
ElasticPx.put("d1",dz/1000);
ElasticPx.put("d2",dx/1000);
ElasticPx.put("d3",dy/1000);
ElasticPx.put("o1",fz/1000);
ElasticPx.put("o2",fx/1000);
ElasticPx.put("o3",fy/1000);
ElasticPy.put("n1",nz);
ElasticPy.put("n2",nx);
ElasticPy.put("n3",ny);
ElasticPy.put("d1",dz/1000);
ElasticPy.put("d2",dx/1000);
ElasticPy.put("d3",dy/1000);
ElasticPy.put("o1",fz/1000);
ElasticPy.put("o2",fx/1000);
ElasticPy.put("o3",fy/1000);
ElasticPz.put("n1",nz);
ElasticPz.put("n2",nx);
ElasticPz.put("n3",ny);
ElasticPz.put("d1",dz/1000);
ElasticPz.put("d2",dx/1000);
ElasticPz.put("d3",dy/1000);
ElasticPz.put("o1",fz/1000);
ElasticPz.put("o2",fx/1000);
ElasticPz.put("o3",fy/1000);
ElasticSx.put("n1",nz);
ElasticSx.put("n2",nx);
ElasticSx.put("n3",ny);
ElasticSx.put("d1",dz/1000);
ElasticSx.put("d2",dx/1000);
ElasticSx.put("d3",dy/1000);
ElasticSx.put("o1",fz/1000);
ElasticSx.put("o2",fx/1000);
ElasticSx.put("o3",fy/1000);
ElasticSy.put("n1",nz);
ElasticSy.put("n2",nx);
ElasticSy.put("n3",ny);
ElasticSy.put("d1",dz/1000);
ElasticSy.put("d2",dx/1000);
ElasticSy.put("d3",dy/1000);
ElasticSy.put("o1",fz/1000);
ElasticSy.put("o2",fx/1000);
ElasticSy.put("o3",fy/1000);
ElasticSz.put("n1",nz);
ElasticSz.put("n2",nx);
ElasticSz.put("n3",ny);
ElasticSz.put("d1",dz/1000);
ElasticSz.put("d2",dx/1000);
ElasticSz.put("d3",dy/1000);
ElasticSz.put("o1",fz/1000);
ElasticSz.put("o2",fx/1000);
ElasticSz.put("o3",fy/1000);
/********************* wavefield extrapolation *************************/
double *px1=(double*)malloc(sizeof(double)*nxyz);
double *px2=(double*)malloc(sizeof(double)*nxyz);
double *px3=(double*)malloc(sizeof(double)*nxyz);
double *py1=(double*)malloc(sizeof(double)*nxyz);
double *py2=(double*)malloc(sizeof(double)*nxyz);
double *py3=(double*)malloc(sizeof(double)*nxyz);
double *pz1=(double*)malloc(sizeof(double)*nxyz);
double *pz2=(double*)malloc(sizeof(double)*nxyz);
double *pz3=(double*)malloc(sizeof(double)*nxyz);
double *sx1=(double*)malloc(sizeof(double)*nxyz);
double *sx2=(double*)malloc(sizeof(double)*nxyz);
double *sx3=(double*)malloc(sizeof(double)*nxyz);
double *sy1=(double*)malloc(sizeof(double)*nxyz);
double *sy2=(double*)malloc(sizeof(double)*nxyz);
double *sy3=(double*)malloc(sizeof(double)*nxyz);
double *sz1=(double*)malloc(sizeof(double)*nxyz);
double *sz2=(double*)malloc(sizeof(double)*nxyz);
double *sz3=(double*)malloc(sizeof(double)*nxyz);
double *ux=(double*)malloc(sizeof(double)*nxyz);
double *uy=(double*)malloc(sizeof(double)*nxyz);
double *uz=(double*)malloc(sizeof(double)*nxyz);
double *pp=(double*)malloc(sizeof(double)*nxyz);
double *ppp=(double*)malloc(sizeof(double)*nxyz);
zero1double(px1, nxyz);
zero1double(px2, nxyz);
zero1double(px3, nxyz);
zero1double(py1, nxyz);
zero1double(py2, nxyz);
zero1double(py3, nxyz);
zero1double(pz1, nxyz);
zero1double(pz2, nxyz);
zero1double(pz3, nxyz);
zero1double(sx1, nxyz);
zero1double(sx2, nxyz);
zero1double(sx3, nxyz);
zero1double(sy1, nxyz);
zero1double(sy2, nxyz);
zero1double(sy3, nxyz);
zero1double(sz1, nxyz);
zero1double(sz2, nxyz);
zero1double(sz3, nxyz);
zero1double(ux, nxyz);
zero1double(uy, nxyz);
zero1double(uz, nxyz);
int *ijkx = sf_intalloc(nkx);
int *ijkz = sf_intalloc(nkz);
int *ijky = sf_intalloc(nky);
ikxikyikz(ijkx, ijky, ijkz, nkx, nky, nkz);
std::valarray<float> x(nxyz);
int nbd = 30;
double alpha = 0.001;
double *decay = (double*)malloc(sizeof(double)*nxyz);
for (iy = 0; iy < ny; iy++) {
for (ix = 0; ix < nx; ix++) {
for (iz=0; iz < nz; iz++) {
i = iz+nz *(ix+nx *iy);
decay[i]=1.0;
if(iz<nbd)
decay[i] *= exp(-pow(alpha*(nbd-iz)*dz,2));
else if(iz>(nz-1-nbd))
decay[i] *= exp(-pow(alpha*(iz-nz+nbd+1)*dz,2));
if(ix<nbd)
decay[i] *= exp(-pow(alpha*(nbd-ix)*dx,2));
else if(ix>(nx-1-nbd))
decay[i] *= exp(-pow(alpha*(ix-nx+nbd+1)*dx,2));
if(iy<nbd)
decay[i] *= exp(-pow(alpha*(nbd-iy)*dy,2));
else if(iy>(ny-1-nbd))
decay[i] *= exp(-pow(alpha*(iy-ny+nbd+1)*dy,2));
}
}
}
int iii=0;
for(int it=0;it<ns;it++)
{
float t=it*dt;
if(it%10==0)
sf_warning("Elastic: it= %d t=%f(s)",it,t);
// 3D exploding force source (e.g., Wu's PhD)
for(k=-1;k<=1;k++)
for(i=-1;i<=1;i++)
for(j=-1;j<=1;j++)
{
if(fabs(k)+fabs(i)+fabs(j)==3)
{
iii=(iys+k)*nxz+(ixs+i)*nz+(izs+j);
uy[iii]+=k*Ricker(t, f0, t0, A);
ux[iii]+=i*Ricker(t, f0, t0, A);
uz[iii]+=j*Ricker(t, f0, t0, A);
}
}
// 3D 45-degree force source
//p2[isy][isx][isz]+=Ricker(t, f0, t0, A);
//q2[isy][isx][isz]+=Ricker(t, f0, t0, A);
//r2[isy][isx][isz]+=Ricker(t, f0, t0, A);
if(it%10==0) sf_warning("ux=%f uy=%f uz=%f ",ux[iii],uy[iii],uz[iii]);
/* extrapolation of Upx-componet */
fwpvti3delowrank_double(ldataopx1,rdataopx1,fmidopx1,pp,ux,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2opx1,n2opx1);
for(i=0;i<nxyz;i++) px3[i] = pp[i];
fwpvti3delowrank_double(ldataopx2,rdataopx2,fmidopx2,pp,uy,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2opx2,n2opx2);
for(i=0;i<nxyz;i++) px3[i] += pp[i];
fwpvti3delowrank_double(ldataopx3,rdataopx3,fmidopx3,pp,uz,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2opx3,n2opx3);
for(i=0;i<nxyz;i++) px3[i] = decay[i]*(px3[i] + pp[i]) - pow(decay[i],2)*px1[i];
/* extrapolation of Upy-componet */
fwpvti3delowrank_double(ldataopy1,rdataopy1,fmidopy1,pp,ux,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2opy1,n2opy1);
for(i=0;i<nxyz;i++) py3[i] = pp[i];
fwpvti3delowrank_double(ldataopy2,rdataopy2,fmidopy2,pp,uy,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2opy2,n2opy2);
for(i=0;i<nxyz;i++) py3[i] += pp[i];
fwpvti3delowrank_double(ldataopy3,rdataopy3,fmidopy3,pp,uz,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2opy3,n2opy3);
for(i=0;i<nxyz;i++) py3[i] = decay[i]*(py3[i] + pp[i]) - pow(decay[i],2)*py1[i];
/* extrapolation of Upz-componet */
fwpvti3delowrank_double(ldataopz1,rdataopz1,fmidopz1,pp,ux,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2opz1,n2opz1);
for(i=0;i<nxyz;i++) pz3[i] = pp[i];
fwpvti3delowrank_double(ldataopz2,rdataopz2,fmidopz2,pp,uy,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2opz2,n2opz2);
for(i=0;i<nxyz;i++) pz3[i] += pp[i];
fwpvti3delowrank_double(ldataopz3,rdataopz3,fmidopz3,pp,uz,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2opz3,n2opz3);
for(i=0;i<nxyz;i++) pz3[i] = decay[i]*(pz3[i] + pp[i]) - pow(decay[i],2)*pz1[i];
/* extrapolation of Usx-componet */
fwpvti3delowrank_double(ldataosx1,rdataosx1,fmidosx1,pp,ux,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2osx1,n2osx1);
for(i=0;i<nxyz;i++) sx3[i] = pp[i];
fwpvti3delowrank_double(ldataosx2,rdataosx2,fmidosx2,pp,uy,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2osx2,n2osx2);
for(i=0;i<nxyz;i++) sx3[i] += pp[i];
fwpvti3delowrank_double(ldataosx3,rdataosx3,fmidosx3,pp,uz,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2osx3,n2osx3);
for(i=0;i<nxyz;i++) sx3[i] = decay[i]*(sx3[i] + pp[i]) - pow(decay[i],2)*sx1[i];
/* extrapolation of Usy-componet */
fwpvti3delowrank_double(ldataosy1,rdataosy1,fmidosy1,pp,ux,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2osy1,n2osy1);
for(i=0;i<nxyz;i++) sy3[i] = pp[i];
fwpvti3delowrank_double(ldataosy2,rdataosy2,fmidosy2,pp,uy,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2osy2,n2osy2);
for(i=0;i<nxyz;i++) sy3[i] += pp[i];
fwpvti3delowrank_double(ldataosy3,rdataosy3,fmidosy3,pp,uz,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2osy3,n2osy3);
for(i=0;i<nxyz;i++) sy3[i] = decay[i]*(sy3[i] + pp[i]) - pow(decay[i],2)*sy1[i];
/* extrapolation of Usz-componet */
fwpvti3delowrank_double(ldataosz1,rdataosz1,fmidosz1,pp,ux,ijkx,ijky,ijkz,nx,ny,nz,nxyz,nk,m2osz1,n2osz1);
for(i=0;i<nxyz;i++) sz3[i] = pp[i];