double* donnees(double*tirages,double spot,double sigma0, double r,int N,double deltat,double horizon,double *T, double *P, double*K)
{
int n=(int)floor(horizon/deltat);
int i;
int k;
int m;
double horizon1;
int l;
double *G=malloc((1+nu*N)*sizeof(double));
for (m=0;m<N;m++){
horizon1=T[m];
l=(int)floor(horizon1/deltat);
for (i=0;i<nu;i++){
G[m+i*N]=exp(-r*horizon1)*fplus(tirages[l+i*n],K[m])-P[m];
if(fabs(G[m+i*N])>sup[m]){
sup[m]= fabs(G[m+i*N]);
}
}
for(k=0;k<nu;k++){
if(sup[m]>0){
G[m+k*N]=(1/sup[m])* G[m+k*N];
}
}
}
return G;
}
int main(int argc, char* argv[])
{
clock_t tstart, tend;
double duration;
/*Flag*/
bool verb, cmplx;
/*I/O*/
sf_file Fsrc,Fo,Frec; /* I/O files */
sf_file left, right; /*left/right matrix*/
sf_file Fvel, Fden, Ffft; /*Model*/
sf_axis at,az,ax; /* cube axes */
/* I/O arrays*/
float *src; /*point source, distributed source*/
float **lt, **rt;
float **vel, **den, **c11;
/* Grid index variables */
int it,iz,im,ik,ix,i,j;
int nt,nz,nx, m2, nk, nkx, nkz, nzx, nz2, nx2, nzx2, n1, n2, pad1;
float cx, cz;
float kx, kz, dkx, dkz, kx0, kz0;
float dx, dz, dt, d1, d2;
float ox, oz;
sf_complex *cwavex, *cwavez, *cwavemx, *cwavemz;
float **record;
float **wavex, **wavez;
float *curtxx, *pretxx;
float *curvx, *prevx, *curvz, *prevz;
/*source*/
spara sp={0};
int srcrange;
float srctrunc;
bool srcdecay;
float slx, slz;
int spx, spz;
/*options*/
float gdep;
int gp;
tstart = clock();
sf_init(argc,argv);
if(!sf_getbool("verb",&verb)) verb=false; /* verbosity */
Fvel = sf_input("vel");
Fden = sf_input("den");
/* setup I/O files */
Fsrc = sf_input ("in" );
Fo = sf_output("out");
Frec = sf_output("rec"); /*record*/
/* Read/Write axes */
at = sf_iaxa(Fsrc,1); nt = sf_n(at); dt = sf_d(at);
ax = sf_iaxa(Fvel,2); nx = sf_n(ax); dx = sf_d(ax); ox=sf_o(ax);
az = sf_iaxa(Fvel,1); nz = sf_n(az); dz = sf_d(az); oz=sf_o(az);
sf_oaxa(Fo,az,1);
sf_oaxa(Fo,ax,2);
sf_oaxa(Fo,at,3);
/*set for record*/
sf_oaxa(Frec, at, 1);
sf_oaxa(Frec, ax, 2);
if (!sf_getbool("cmplx",&cmplx)) cmplx=false; /* use complex FFT */
if (!sf_getint("pad1",&pad1)) pad1=1; /* padding factor on the first axis */
nk = fft2_init(cmplx,pad1,nz,nx,&nz2,&nx2);
nzx = nz*nx;
nzx2 = nz2*nx2;
/* propagator matrices */
left = sf_input("left");
right = sf_input("right");
if (!sf_histint(left,"n1",&n2) || n2 != nzx) sf_error("Need n1=%d in left",nzx);
if (!sf_histint(left,"n2",&m2)) sf_error("Need n2= in left");
if (!sf_histint(right,"n1",&n2) || n2 != m2) sf_error("Need n1=%d in right",m2);
if (!sf_histint(right,"n2",&n2) || n2 != nk) sf_error("Need n2=%d in right",nk);
lt = sf_floatalloc2(nzx,m2);
rt = sf_floatalloc2(m2,nk);
sf_floatread(lt[0],nzx*m2,left);
sf_floatread(rt[0],m2*nk,right);
/*model veloctiy & density*/
if (!sf_histint(Fvel,"n1", &n1) || n1 != nz) sf_error("Need n1=%d in vel", nz);
if (!sf_histfloat(Fvel,"d1", &d1) || d1 != dz) sf_error("Need d1=%d in vel", dz);
if (!sf_histint(Fvel,"n2", &n2) || n2 != nx) sf_error("Need n2=%d in vel", nx);
if (!sf_histfloat(Fvel,"d2", &d2) || d2 != dx) sf_error("Need d2=%d in vel", dx);
if (!sf_histint(Fden,"n1", &n1) || n1 != nz) sf_error("Need n1=%d in den", nz);
if (!sf_histfloat(Fden,"d1", &d1) || d1 != dz) sf_error("Need d1=%d in den", dz);
if (!sf_histint(Fden,"n2", &n2) || n2 != nx) sf_error("Need n2=%d in den", nx);
if (!sf_histfloat(Fden,"d2", &d2) || d2 != dx) sf_error("Need d2=%d in den", dx);
vel = sf_floatalloc2(nz, nx);
den = sf_floatalloc2(nz, nx);
c11 = sf_floatalloc2(nz, nx);
sf_floatread(vel[0], nzx, Fvel);
sf_floatread(den[0], nzx, Fden);
for (ix = 0; ix < nx; ix++) {
for (iz = 0; iz < nz; iz++) {
c11[ix][iz] = den[ix][iz]*vel[ix][iz]*vel[ix][iz];
}
}
/*parameters of fft*/
Ffft = sf_input("fft");
if (!sf_histint(Ffft,"n1", &nkz)) sf_error("Need n1 in fft");
if (!sf_histint(Ffft,"n2", &nkx)) sf_error("Need n2 in fft");
if ( nkx*nkz != nk ) sf_error("Need nk=nkx*nkz, nk=%d, nkx=%d, nkz=%d", nk, nkx, nkz);
if (!sf_histfloat(Ffft,"d1", &dkz)) sf_error("Need d1 in fft");
if (!sf_histfloat(Ffft,"d2", &dkx)) sf_error("Need d2 in fft");
if (!sf_histfloat(Ffft,"o1", &kz0)) sf_error("Need o1 in fft");
if (!sf_histfloat(Ffft,"o2", &kx0)) sf_error("Need o2 in fft");
/*parameters of geometry*/
if (!sf_getfloat("gdep", &gdep)) gdep = 0.0;
/*depth of geophone (meter)*/
if (gdep <0.0) sf_error("gdep need to be >=0.0");
/*source and receiver location*/
if (!sf_getfloat("slx", &slx)) slx=-1.0;
/*source location x */
if (!sf_getint("spx", &spx)) spx = -1;
/*source location x (index)*/
if((slx<0 && spx <0) || (slx>=0 && spx >=0 )) sf_error("Need src location");
if (slx >= 0 ) spx = (int)((slx-ox)/dx+0.5);
if (!sf_getfloat("slz", &slz)) slz = -1.0;
/* source location z */
if (!sf_getint("spz", &spz)) spz=-1;
/*source location z (index)*/
if((slz<0 && spz <0) || (slz>=0 && spz >=0 )) sf_error("Need src location");
if (slz >= 0 ) spz = (int)((slz-ox)/dz+0.5);
if (!sf_getfloat("gdep", &gdep)) gdep = -1.0;
/* recorder depth on grid*/
if (!sf_getint("gp", &gp)) gp=0;
/* recorder depth on index*/
if ( gdep>=oz) { gp = (int)((gdep-oz)/dz+0.5);}
if (gp < 0.0) sf_error("gdep need to be >=oz");
/*source and receiver location*/
if (!sf_getbool("srcdecay", &srcdecay)) srcdecay=false;
/*source decay*/
if (!sf_getint("srcrange", &srcrange)) srcrange=10;
/*source decay range*/
if (!sf_getfloat("srctrunc", &srctrunc)) srctrunc=100;
/*trunc source after srctrunc time (s)*/
/* read wavelet & reflectivity */
src = sf_floatalloc(nt);
sf_floatread(src,nt,Fsrc);
curtxx = sf_floatalloc(nzx2);
curvx = sf_floatalloc(nzx2);
curvz = sf_floatalloc(nzx2);
pretxx = sf_floatalloc(nzx);
prevx = sf_floatalloc(nzx);
prevz = sf_floatalloc(nzx);
cwavex = sf_complexalloc(nk);
cwavez = sf_complexalloc(nk);
cwavemx = sf_complexalloc(nk);
cwavemz = sf_complexalloc(nk);
wavex = sf_floatalloc2(nzx2,m2);
wavez = sf_floatalloc2(nzx2,m2);
record = sf_floatalloc2(nt,nx);
ifft2_allocate(cwavemx);
ifft2_allocate(cwavemz);
for (iz=0; iz < nzx; iz++) {
pretxx[iz]=0.;
prevx[iz] =0.;
prevz[iz] =0.;
}
for (iz=0; iz < nzx2; iz++) {
curtxx[iz]=0.;
curvx[iz]=0.;
curvz[iz]=0.;
}
/* Check parameters*/
if(verb) {
sf_warning("======================================");
#ifdef SF_HAS_FFTW
sf_warning("FFTW is defined");
#endif
#ifdef SF_HAS_COMPLEX_H
sf_warning("Complex is defined");
#endif
sf_warning("nx=%d nz=%d nzx=%d dx=%f dz=%f", nx, nz, nzx, dx, dz);
sf_warning("nkx=%d nkz=%d dkx=%f dkz=%f nk=%d", nkx, nkz, dkx, dkz, nk);
sf_warning("nx2=%d nz2=%d nzx2=%d", nx2, nz2, nzx2);
sf_warning("======================================");
}
/*set source*/
sp.trunc=srctrunc;
sp.srange=srcrange;
sp.alpha=0.5;
sp.decay=srcdecay?1:0;
/* MAIN LOOP */
for (it=0; it<nt; it++) {
if(verb) sf_warning("it=%d/%d;",it,nt-1);
/*vx, vz--- matrix multiplication */
fft2(curtxx,cwavex); /* P^(k,t) */
for (im = 0; im < m2; im++) {
for (ik = 0; ik < nk; ik++) {
kx = kx0+dkx*(ik/nkz);
kz = kz0+dkz*(ik%nkz);
#ifdef SF_HAS_COMPLEX_H
cwavemz[ik] = cwavex[ik]*rt[ik][im];
cwavemx[ik] = fplus(kx,dx)*cwavemz[ik];
cwavemz[ik] = fplus(kz,dz)*cwavemz[ik];
#else
cwavemz[ik] = sf_crmul(cwavex[ik],rt[ik][im]);
cwavemx[ik] = sf_cmul(fplus(kx,dx), cwavemz[ik]);
cwavemz[ik] = sf_cmul(fplus(kz,dz), cwavemz[ik]);
#endif
}
ifft2(wavex[im], cwavemx); /* dp/dx */
ifft2(wavez[im], cwavemz); /* dp/dz */
}
for (ix = 0; ix < nx; ix++) {
for (iz = 0; iz < nz; iz++) {
i = iz+ix*nz; /* original grid */
j = iz+ix*nz2; /* padded grid */
cx = 0.0;
cz = 0.0;
for (im=0; im<m2; im++) {
cx += lt[im][i]*wavex[im][j];
cz += lt[im][i]*wavez[im][j];
}
curvx[j] = -1*dt/den[ix][iz]*cx + prevx[i];
/*vx(t+dt/2) = -dt/rho*dp/dx(t) + vx(t-dt/2) */
prevx[i] = curvx[j];
curvz[j] = -1*dt/den[ix][iz]*cz + prevz[i];
prevz[i] = curvz[j];
}
}
/*txx--- matrix multiplication */
fft2(curvx, cwavex);
fft2(curvz, cwavez);
for (im = 0; im < m2; im++) {
for (ik = 0; ik < nk; ik++ ) {
kx = kx0 + dkx*(ik/nkz);
kz = kz0 + dkz*(ik%nkz);
#ifdef SF_HAS_COMPLEX_H
cwavemz[ik] = cwavez[ik]*rt[ik][im];
cwavemx[ik] = cwavex[ik]*rt[ik][im];
cwavemx[ik] = fminu(kx,dx)*cwavemx[ik];
cwavemz[ik] = fminu(kz,dz)*cwavemz[ik];
#else
cwavemz[ik] = sf_crmul(cwavez[ik],rt[ik][im]);
cwavemx[ik] = sf_crmul(cwavex[ik],rt[ik][im]);
cwavemx[ik] = sf_cmul(fplus(kx,dx), cwavemx[ik]);
cwavemz[ik] = sf_cmul(fplus(kz,dz), cwavemz[ik]);
#endif
}
ifft2(wavex[im], cwavemx); /* dux/dx */
ifft2(wavez[im], cwavemz); /* duz/dz */
}
for (ix = 0; ix < nx; ix++) {
for (iz = 0; iz < nz; iz++) {
i = iz+ix*nz; /* original grid */
j = iz+ix*nz2; /* padded grid */
cx = 0.0;
cz = 0.0;
for (im=0; im<m2; im++) {
cx += lt[im][i]*wavex[im][j];
cz += lt[im][i]*wavez[im][j];
}
curtxx[j] = -1*dt*c11[ix][iz]*(cx+cz) + pretxx[i];
}
}
if ((it*dt)<=sp.trunc ) {
curtxx[spz+spx*nz2] += src[it]*dt;
}
for (ix = 0; ix < nx; ix++) {
/* write wavefield to output */
sf_floatwrite(pretxx+ix*nz,nz,Fo);
}
/*record*/
for (ix = 0; ix < nx; ix++){
record[ix][it] = pretxx[ix*nz+gp];
}
for (ix = 0; ix < nx; ix++) {
for (iz = 0; iz < nz; iz++) {
i = iz+ix*nz; /* original grid */
j = iz+ix*nz2; /* padded grid */
pretxx[i] = curtxx[j];
}
}
}/*End of MAIN LOOP*/
if(verb) sf_warning(".");
for ( ix = 0; ix < nx; ix++) {
sf_floatwrite(record[ix], nt, Frec);
}
tend = clock();
duration=(double)(tend-tstart)/CLOCKS_PER_SEC;
sf_warning(">> The CPU time of sfsglr is: %f seconds << ", duration);
exit (0);
}
