void lis_matvect_f(LIS_MATRIX_F *A, LIS_VECTOR_F *x, LIS_VECTOR_F *y, LIS_INT *ierr)
{
LIS_DEBUG_FUNC_IN;
*ierr = lis_matvect((LIS_MATRIX)LIS_V2P(A),(LIS_VECTOR)LIS_V2P(x),(LIS_VECTOR)LIS_V2P(y));
LIS_DEBUG_FUNC_OUT;
return;
}
LIS_INT lis_crs_quad(LIS_SOLVER solver)
{
LIS_MATRIX A;
LIS_VECTOR x;
LIS_VECTOR r,rtld, p, q, u, z, ap, map, uq, auq;
LIS_QUAD_PTR alpha, beta, rho, rho_old, tmpdot1, one;
LIS_REAL bnrm2, nrm2, tol;
LIS_INT iter,maxiter,output,conv;
double time,ptime;
LIS_DEBUG_FUNC_IN;
A = solver->A;
x = solver->x;
maxiter = solver->options[LIS_OPTIONS_MAXITER];
output = solver->options[LIS_OPTIONS_OUTPUT];
conv = solver->options[LIS_OPTIONS_CONV_COND];
ptime = 0.0;
r = solver->work[0];
rtld = solver->work[1];
p = solver->work[2];
z = solver->work[3];
u = solver->work[3];
uq = solver->work[3];
q = solver->work[4];
ap = solver->work[4];
map = solver->work[5];
auq = solver->work[5];
LIS_QUAD_SCALAR_MALLOC(alpha,0,1);
LIS_QUAD_SCALAR_MALLOC(beta,1,1);
LIS_QUAD_SCALAR_MALLOC(rho,2,1);
LIS_QUAD_SCALAR_MALLOC(rho_old,3,1);
LIS_QUAD_SCALAR_MALLOC(tmpdot1,4,1);
LIS_QUAD_SCALAR_MALLOC(one,6,1);
/* Initial Residual */
if( lis_solver_get_initial_residual(solver,NULL,NULL,r,&bnrm2) )
{
LIS_DEBUG_FUNC_OUT;
return LIS_SUCCESS;
}
tol = solver->tol;
lis_solver_set_shadowresidual(solver,r,p);
lis_matvect(A,p,rtld);
lis_vector_set_allex_nm(0.0,q);
lis_vector_set_allex_nm(0.0,p);
rho_old.hi[0] = 1.0;
rho_old.lo[0] = 0.0;
one.hi[0] = 1.0;
one.lo[0] = 0.0;
for( iter=1; iter<=maxiter; iter++ )
{
/* z = M^-1 * r */
/* rho = <rtld,z> */
time = lis_wtime();
lis_psolve(solver, r, z);
ptime += lis_wtime()-time;
lis_vector_dotex_mmm(rtld,z,&rho);
/* test breakdown */
if( rho.hi[0]==0.0 && rho.lo[0]==0.0 )
{
solver->retcode = LIS_BREAKDOWN;
solver->iter = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_BREAKDOWN;
}
/* beta = rho / rho_old */
/* u = z + beta*q */
/* p = u + beta*(q + beta*p) */
/* ap = A * p */
/* map = M^-1 * ap */
/* tmpdot1 = <rtld,map> */
lis_quad_div((LIS_QUAD *)beta.hi,(LIS_QUAD *)rho.hi,(LIS_QUAD *)rho_old.hi);
lis_vector_axpyzex_mmmm(beta,q,z,u);
lis_vector_xpayex_mmm(q,beta,p);
lis_vector_xpayex_mmm(u,beta,p);
lis_matvec(A,p,ap);
time = lis_wtime();
lis_psolve(solver, ap, map);
ptime += lis_wtime()-time;
lis_vector_dotex_mmm(rtld,map,&tmpdot1);
/* test breakdown */
if( tmpdot1.hi[0]==0.0 && tmpdot1.lo[0]==0.0 )
{
solver->retcode = LIS_BREAKDOWN;
solver->iter = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_BREAKDOWN;
}
/* alpha = rho / tmpdot1 */
/* q = u - alpha*map */
/* uq = u + q */
/* auq = A * uq */
/* x = x + alpha*uq */
/* r = r - alpha*auq */
lis_quad_div((LIS_QUAD *)alpha.hi,(LIS_QUAD *)rho.hi,(LIS_QUAD *)tmpdot1.hi);
lis_quad_minus((LIS_QUAD *)alpha.hi);
lis_vector_axpyzex_mmmm(alpha,map,u,q);
lis_vector_axpyzex_mmmm(one,u,q,uq);
lis_matvec(A,uq,auq);
lis_quad_minus((LIS_QUAD *)alpha.hi);
lis_vector_axpyex_mmm(alpha,uq,x);
lis_quad_minus((LIS_QUAD *)alpha.hi);
lis_vector_axpyex_mmm(alpha,auq,r);
/* convergence check */
lis_solver_get_residual[conv](r,solver,&nrm2);
if( output )
{
if( output & LIS_PRINT_MEM ) solver->rhistory[iter] = nrm2;
if( output & LIS_PRINT_OUT && A->my_rank==0 ) lis_print_rhistory(iter,nrm2);
}
if( tol >= nrm2 )
{
solver->retcode = LIS_SUCCESS;
solver->iter = iter;
solver->resid = nrm2;
solver->ptime = ptime;
LIS_DEBUG_FUNC_OUT;
return LIS_SUCCESS;
}
rho_old.hi[0] = rho.hi[0];
rho_old.lo[0] = rho.lo[0];
}
solver->retcode = LIS_MAXITER;
solver->iter = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_MAXITER;
}
LIS_INT lis_psolvet_adds(LIS_SOLVER solver, LIS_VECTOR B, LIS_VECTOR X)
{
LIS_INT i,k,n,np,iter,ptype;
LIS_SCALAR *b,*x,*w,*r;
LIS_VECTOR W,R;
LIS_PRECON precon;
LIS_DEBUG_FUNC_IN;
precon = solver->precon;
n = precon->A->n;
np = precon->A->np;
W = precon->work[0];
R = precon->work[1];
b = B->value;
x = X->value;
w = W->value;
r = R->value;
iter = solver->options[LIS_OPTIONS_ADDS_ITER];
ptype = solver->options[LIS_OPTIONS_PRECON];
if( solver->precision==LIS_PRECISION_DEFAULT )
{
lis_vector_set_all(0.0,X);
lis_vector_copy(B,R);
for(k=0;k<iter+1;k++)
{
for(i=n;i<np;i++)
{
r[i] = 0.0;
}
lis_psolvet_xxx[ptype](solver,R,W);
#ifdef _OPENMP
#pragma omp parallel for private(i)
#endif
for(i=0;i<n;i++)
{
x[i] += w[i];
}
if(k!=iter)
{
lis_matvect(precon->A,X,R);
#ifdef _OPENMP
#pragma omp parallel for private(i)
#endif
for(i=0;i<n;i++)
{
r[i] = b[i] - r[i];
}
}
}
}
else
{
lis_vector_set_all(0.0,X);
lis_vector_copy(B,R);
for(k=0;k<iter+1;k++)
{
for(i=n;i<np;i++)
{
r[i] = 0.0;
}
lis_psolvet_xxx[ptype](solver,R,W);
for(i=0;i<n;i++)
{
x[i] += w[i];
}
if(k==iter) break;
X->precision = LIS_PRECISION_DEFAULT;
lis_matvect(precon->A,X,R);
X->precision = LIS_PRECISION_QUAD;
for(i=0;i<n;i++)
{
r[i] = b[i] - r[i];
}
}
}
LIS_DEBUG_FUNC_OUT;
return LIS_SUCCESS;
}
LIS_INT lis_bicrsafe_quad(LIS_SOLVER solver)
{
LIS_MATRIX A;
LIS_VECTOR x;
LIS_VECTOR r, rtld, artld, mr, amr, p, ap, map;
LIS_VECTOR y, my, u, au, z;
LIS_QUAD_PTR alpha, beta, rho, rho_old;
LIS_QUAD_PTR qsi, eta, one;
LIS_QUAD_PTR tmp, tmpdot[5];
LIS_REAL bnrm2, nrm2, tol;
LIS_INT iter,maxiter,output,conv;
double time,ptime;
LIS_DEBUG_FUNC_IN;
A = solver->A;
x = solver->x;
maxiter = solver->options[LIS_OPTIONS_MAXITER];
output = solver->options[LIS_OPTIONS_OUTPUT];
conv = solver->options[LIS_OPTIONS_CONV_COND];
ptime = 0.0;
rtld = solver->work[0];
r = solver->work[1];
mr = solver->work[2];
amr = solver->work[3];
p = solver->work[4];
ap = solver->work[5];
map = solver->work[6];
my = solver->work[7];
y = solver->work[8];
u = solver->work[9];
z = solver->work[10];
au = solver->work[11];
artld = solver->work[12];
LIS_QUAD_SCALAR_MALLOC(alpha,0,1);
LIS_QUAD_SCALAR_MALLOC(beta,1,1);
LIS_QUAD_SCALAR_MALLOC(rho,2,1);
LIS_QUAD_SCALAR_MALLOC(rho_old,3,1);
LIS_QUAD_SCALAR_MALLOC(qsi,4,1);
LIS_QUAD_SCALAR_MALLOC(eta,5,1);
LIS_QUAD_SCALAR_MALLOC(tmp,6,1);
LIS_QUAD_SCALAR_MALLOC(tmpdot[0],7,1);
LIS_QUAD_SCALAR_MALLOC(tmpdot[1],8,1);
LIS_QUAD_SCALAR_MALLOC(tmpdot[2],9,1);
LIS_QUAD_SCALAR_MALLOC(tmpdot[3],10,1);
LIS_QUAD_SCALAR_MALLOC(tmpdot[4],11,1);
LIS_QUAD_SCALAR_MALLOC(one,13,1);
/* Initial Residual */
if( lis_solver_get_initial_residual(solver,NULL,NULL,r,&bnrm2) )
{
LIS_DEBUG_FUNC_OUT;
return LIS_SUCCESS;
}
tol = solver->tol;
lis_solver_set_shadowresidual(solver,r,rtld);
lis_matvect(A,rtld,artld);
time = lis_wtime();
lis_psolve(solver, r, mr);
ptime += lis_wtime()-time;
lis_matvec(A,mr,amr);
lis_vector_dotex_mmm(rtld,amr,&rho_old);
lis_vector_copyex_mm(amr,ap);
lis_vector_copyex_mm(mr,p);
one.hi[0] = -1.0;
one.lo[0] = 0.0;
for( iter=1; iter<=maxiter; iter++ )
{
/* map = M^-1 * ap */
time = lis_wtime();
lis_psolve(solver, ap, map);
ptime += lis_wtime()-time;
/* tmpdot[0] = <artld,map> */
/* alpha = rho_old / tmpdot[0] */
lis_vector_dotex_mmm(artld,map,&tmpdot[0]);
lis_quad_div((LIS_QUAD *)alpha.hi,(LIS_QUAD *)rho_old.hi,(LIS_QUAD *)tmpdot[0].hi);
/* tmpdot[0] = <y,y> */
/* tmpdot[1] = <amr,r> */
/* tmpdot[2] = <y,r> */
/* tmpdot[3] = <amr,y> */
/* tmpdot[4] = <amr,amr> */
lis_vector_dotex_mmm(y,y,&tmpdot[0]);
lis_vector_dotex_mmm(amr,r,&tmpdot[1]);
lis_vector_dotex_mmm(y,r,&tmpdot[2]);
lis_vector_dotex_mmm(amr,y,&tmpdot[3]);
lis_vector_dotex_mmm(amr,amr,&tmpdot[4]);
if(iter==1)
{
lis_quad_div((LIS_QUAD *)qsi.hi,(LIS_QUAD *)tmpdot[1].hi,(LIS_QUAD *)tmpdot[4].hi);
eta.hi[0] = 0.0;
eta.lo[0] = 0.0;
}
else
{
lis_quad_mul((LIS_QUAD *)tmp.hi,(LIS_QUAD *)tmpdot[4].hi,(LIS_QUAD *)tmpdot[0].hi);
lis_quad_sqr((LIS_QUAD *)qsi.hi,(LIS_QUAD *)tmpdot[3].hi);
lis_quad_sub((LIS_QUAD *)tmp.hi,(LIS_QUAD *)tmp.hi,(LIS_QUAD *)qsi.hi);
lis_quad_mul((LIS_QUAD *)qsi.hi,(LIS_QUAD *)tmpdot[0].hi,(LIS_QUAD *)tmpdot[1].hi);
lis_quad_mul((LIS_QUAD *)eta.hi,(LIS_QUAD *)tmpdot[2].hi,(LIS_QUAD *)tmpdot[3].hi);
lis_quad_sub((LIS_QUAD *)qsi.hi,(LIS_QUAD *)qsi.hi,(LIS_QUAD *)eta.hi);
lis_quad_div((LIS_QUAD *)qsi.hi,(LIS_QUAD *)qsi.hi,(LIS_QUAD *)tmp.hi);
lis_quad_mul((LIS_QUAD *)eta.hi,(LIS_QUAD *)tmpdot[4].hi,(LIS_QUAD *)tmpdot[2].hi);
lis_quad_mul((LIS_QUAD *)tmpdot[0].hi,(LIS_QUAD *)tmpdot[3].hi,(LIS_QUAD *)tmpdot[1].hi);
lis_quad_sub((LIS_QUAD *)eta.hi,(LIS_QUAD *)eta.hi,(LIS_QUAD *)tmpdot[0].hi);
lis_quad_div((LIS_QUAD *)eta.hi,(LIS_QUAD *)eta.hi,(LIS_QUAD *)tmp.hi);
}
/* u = qsi*map + eta*my + eta*beta*u */
/* au = A * u */
lis_quad_mul((LIS_QUAD *)tmp.hi,(LIS_QUAD *)eta.hi,(LIS_QUAD *)beta.hi);
lis_vector_scaleex_mm(tmp,u);
lis_vector_axpyex_mmm(qsi,map,u);
lis_vector_axpyex_mmm(eta,my,u);
lis_matvec(A,u,au);
/* z = qsi*mr + eta*z - alpha*u */
lis_vector_scaleex_mm(eta,z);
lis_vector_axpyex_mmm(qsi,mr,z);
lis_quad_minus((LIS_QUAD *)alpha.hi);
lis_vector_axpyex_mmm(alpha,u,z);
/* y = qsi*amr + eta*y - alpha*au */
/* my = M^-1 * y */
lis_vector_scaleex_mm(eta,y);
lis_vector_axpyex_mmm(qsi,amr,y);
lis_vector_axpyex_mmm(alpha,au,y);
time = lis_wtime();
lis_psolve(solver, y, my);
ptime += lis_wtime()-time;
/* x = x + alpha*p + z */
lis_quad_minus((LIS_QUAD *)alpha.hi);
lis_vector_axpyex_mmm(alpha,p,x);
lis_quad_minus((LIS_QUAD *)one.hi);
lis_vector_axpyex_mmm(one,z,x);
/* r = r - alpha*ap - y */
lis_quad_minus((LIS_QUAD *)alpha.hi);
lis_quad_minus((LIS_QUAD *)one.hi);
lis_vector_axpyex_mmm(alpha,ap,r);
lis_vector_axpyex_mmm(one,y,r);
/* convergence check */
lis_solver_get_residual[conv](r,solver,&nrm2);
if( output )
{
if( output & LIS_PRINT_MEM ) solver->rhistory[iter] = nrm2;
if( output & LIS_PRINT_OUT && A->my_rank==0 ) lis_print_rhistory(iter,nrm2);
}
if( tol >= nrm2 )
{
solver->retcode = LIS_SUCCESS;
solver->iter = iter;
solver->resid = nrm2;
solver->ptime = ptime;
LIS_DEBUG_FUNC_OUT;
return LIS_SUCCESS;
}
/* mr = mr - alpha*map - my */
/* amr = A * mr */
/* rho = <rtld,amr> */
lis_vector_axpyex_mmm(alpha,map,mr);
lis_vector_axpyex_mmm(one,my,mr);
lis_matvec(A,mr,amr);
lis_vector_dotex_mmm(rtld,amr,&rho);
if( rho.hi[0]==0.0 && rho.lo[0]==0.0 )
{
solver->retcode = LIS_BREAKDOWN;
solver->iter = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_BREAKDOWN;
}
/* beta = (rho / rho_old) * (alpha / qsi) */
lis_quad_minus((LIS_QUAD *)alpha.hi);
lis_quad_div((LIS_QUAD *)beta.hi,(LIS_QUAD *)rho.hi,(LIS_QUAD *)rho_old.hi);
lis_quad_div((LIS_QUAD *)tmp.hi,(LIS_QUAD *)alpha.hi,(LIS_QUAD *)qsi.hi);
lis_quad_mul((LIS_QUAD *)beta.hi,(LIS_QUAD *)beta.hi,(LIS_QUAD *)tmp.hi);
/* p = mr + beta*(p - u) */
/* ap = amr + beta*(ap - au) */
lis_vector_axpyex_mmm(one,u,p);
lis_vector_xpayex_mmm(mr,beta,p);
lis_vector_axpyex_mmm(one,au,ap);
lis_vector_xpayex_mmm(amr,beta,ap);
rho_old.hi[0] = rho.hi[0];
rho_old.lo[0] = rho.lo[0];
}
solver->retcode = LIS_MAXITER;
solver->iter = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_MAXITER;
}
LIS_INT lis_bicrsafe(LIS_SOLVER solver)
{
LIS_MATRIX A;
LIS_VECTOR x;
LIS_VECTOR r, rtld, artld, mr, amr, p, ap, map;
LIS_VECTOR y, my, u, au, z;
LIS_SCALAR alpha, beta;
LIS_REAL rho, rho_old;
LIS_SCALAR qsi, eta;
LIS_SCALAR tmp, tmpdot[5];
LIS_REAL bnrm2, nrm2, tol;
LIS_INT iter,maxiter,output,conv;
double time,ptime;
LIS_DEBUG_FUNC_IN;
A = solver->A;
x = solver->x;
maxiter = solver->options[LIS_OPTIONS_MAXITER];
output = solver->options[LIS_OPTIONS_OUTPUT];
conv = solver->options[LIS_OPTIONS_CONV_COND];
ptime = 0.0;
rtld = solver->work[0];
r = solver->work[1];
mr = solver->work[2];
amr = solver->work[3];
p = solver->work[4];
ap = solver->work[5];
map = solver->work[6];
my = solver->work[7];
y = solver->work[8];
u = solver->work[9];
z = solver->work[10];
au = solver->work[11];
artld = solver->work[12];
/* Initial Residual */
if( lis_solver_get_initial_residual(solver,NULL,NULL,r,&bnrm2) )
{
LIS_DEBUG_FUNC_OUT;
return LIS_SUCCESS;
}
tol = solver->tol;
lis_solver_set_shadowresidual(solver,r,rtld);
lis_matvect(A,rtld,artld);
time = lis_wtime();
lis_psolve(solver, r, mr);
ptime += lis_wtime()-time;
lis_matvec(A,mr,amr);
lis_vector_dot(rtld,amr,&rho_old);
lis_vector_copy(amr,ap);
lis_vector_copy(mr,p);
beta = 0.0;
for( iter=1; iter<=maxiter; iter++ )
{
/* map = M^-1 * ap */
time = lis_wtime();
lis_psolve(solver, ap, map);
ptime += lis_wtime()-time;
/* tmpdot[0] = <artld,map> */
/* alpha = rho_old / tmpdot[0] */
lis_vector_dot(artld,map,&tmpdot[0]);
alpha = rho_old / tmpdot[0];
/* tmpdot[0] = <y,y> */
/* tmpdot[1] = <amr,r> */
/* tmpdot[2] = <y,r> */
/* tmpdot[3] = <amr,y> */
/* tmpdot[4] = <amr,amr> */
lis_vector_dot(y,y,&tmpdot[0]);
lis_vector_dot(amr,r,&tmpdot[1]);
lis_vector_dot(y,r,&tmpdot[2]);
lis_vector_dot(amr,y,&tmpdot[3]);
lis_vector_dot(amr,amr,&tmpdot[4]);
if(iter==1)
{
qsi = tmpdot[1] / tmpdot[4];
eta = 0.0;
}
else
{
tmp = tmpdot[4]*tmpdot[0] - tmpdot[3]*tmpdot[3];
qsi = (tmpdot[0]*tmpdot[1] - tmpdot[2]*tmpdot[3]) / tmp;
eta = (tmpdot[4]*tmpdot[2] - tmpdot[3]*tmpdot[1]) / tmp;
}
/* u = qsi*map + eta*my + eta*beta*u */
/* au = A * u */
lis_vector_scale(eta*beta,u);
lis_vector_axpy(qsi,map,u);
lis_vector_axpy(eta,my,u);
lis_matvec(A,u,au);
/* z = qsi*mr + eta*z - alpha*u */
lis_vector_scale(eta,z);
lis_vector_axpy(qsi,mr,z);
lis_vector_axpy(-alpha,u,z);
/* y = qsi*amr + eta*y - alpha*au */
/* my = M^-1 * y */
lis_vector_scale(eta,y);
lis_vector_axpy(qsi,amr,y);
lis_vector_axpy(-alpha,au,y);
time = lis_wtime();
lis_psolve(solver, y, my);
ptime += lis_wtime()-time;
/* x = x + alpha*p + z */
lis_vector_axpy(alpha,p,x);
lis_vector_axpy(1.0,z,x);
/* r = r - alpha*ap - y */
lis_vector_axpy(-alpha,ap,r);
lis_vector_axpy(-1.0,y,r);
/* convergence check */
lis_solver_get_residual[conv](r,solver,&nrm2);
if( output )
{
if( output & LIS_PRINT_MEM ) solver->rhistory[iter] = nrm2;
if( output & LIS_PRINT_OUT && A->my_rank==0 ) lis_print_rhistory(iter,nrm2);
}
if( tol >= nrm2 )
{
solver->retcode = LIS_SUCCESS;
solver->iter = iter;
solver->resid = nrm2;
solver->ptime = ptime;
LIS_DEBUG_FUNC_OUT;
return LIS_SUCCESS;
}
/* mr = mr - alpha*map - my */
/* amr = A * mr */
/* rho = <rtld,amr> */
lis_vector_axpy(-alpha,map,mr);
lis_vector_axpy(-1.0,my,mr);
lis_matvec(A,mr,amr);
lis_vector_dot(rtld,amr,&rho);
if( rho==0.0 )
{
solver->retcode = LIS_BREAKDOWN;
solver->iter = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_BREAKDOWN;
}
/* beta = (rho / rho_old) * (alpha / qsi) */
beta = (rho / rho_old) * (alpha / qsi);
/* p = mr + beta*(p - u) */
/* ap = amr + beta*(ap - au) */
lis_vector_axpy(-1.0,u,p);
lis_vector_xpay(mr,beta,p);
lis_vector_axpy(-1.0,au,ap);
lis_vector_xpay(amr,beta,ap);
rho_old = rho;
}
solver->retcode = LIS_MAXITER;
solver->iter = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_MAXITER;
}
LIS_INT lis_bicr_quad(LIS_SOLVER solver)
{
LIS_MATRIX A;
LIS_VECTOR x;
LIS_VECTOR r,rtld, z,ztld,p, ptld, ap, map, az, aptld;
LIS_QUAD_PTR alpha, beta, rho, rho_old, tmpdot1;
LIS_REAL bnrm2, nrm2, tol;
LIS_INT iter,maxiter,output,conv;
double time,ptime;
LIS_DEBUG_FUNC_IN;
A = solver->A;
x = solver->x;
maxiter = solver->options[LIS_OPTIONS_MAXITER];
output = solver->options[LIS_OPTIONS_OUTPUT];
conv = solver->options[LIS_OPTIONS_CONV_COND];
ptime = 0.0;
r = solver->work[0];
rtld = solver->work[1];
z = solver->work[2];
ztld = solver->work[3];
p = solver->work[4];
ptld = solver->work[5];
ap = solver->work[6];
az = solver->work[7];
map = solver->work[8];
aptld = solver->work[9];
LIS_QUAD_SCALAR_MALLOC(alpha,0,1);
LIS_QUAD_SCALAR_MALLOC(beta,1,1);
LIS_QUAD_SCALAR_MALLOC(rho,2,1);
LIS_QUAD_SCALAR_MALLOC(rho_old,3,1);
LIS_QUAD_SCALAR_MALLOC(tmpdot1,4,1);
/* Initial Residual */
if( lis_solver_get_initial_residual(solver,NULL,NULL,r,&bnrm2) )
{
LIS_DEBUG_FUNC_OUT;
return LIS_SUCCESS;
}
tol = solver->tol;
lis_solver_set_shadowresidual(solver,r,rtld);
lis_psolve(solver, r, z);
lis_psolvet(solver, rtld, ztld);
lis_vector_copyex_mm(z,p);
lis_vector_copyex_mm(ztld,ptld);
lis_matvec(A,z,ap);
lis_vector_dotex_mmm(ap,ztld,&rho_old);
for( iter=1; iter<=maxiter; iter++ )
{
/* aptld = A^T * ptld */
/* map = M^-1 * ap */
lis_matvect(A,ptld,aptld);
time = lis_wtime();
lis_psolve(solver, ap, map);
ptime += lis_wtime()-time;
/* tmpdot1 = <map,aptld> */
lis_vector_dotex_mmm(map,aptld,&tmpdot1);
/* test breakdown */
if( tmpdot1.hi[0]==0.0 && tmpdot1.lo[0]==0.0 )
{
solver->retcode = LIS_BREAKDOWN;
solver->iter = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_BREAKDOWN;
}
/* alpha = rho_old / tmpdot1 */
/* x = x + alpha*p */
/* r = r - alpha*ap */
lis_quad_div((LIS_QUAD *)alpha.hi,(LIS_QUAD *)rho_old.hi,(LIS_QUAD *)tmpdot1.hi);
lis_vector_axpyex_mmm(alpha,p,x);
lis_quad_minus((LIS_QUAD *)alpha.hi);
lis_vector_axpyex_mmm(alpha,ap,r);
/* convergence check */
lis_solver_get_residual[conv](r,solver,&nrm2);
if( output )
{
if( output & LIS_PRINT_MEM ) solver->rhistory[iter] = nrm2;
if( output & LIS_PRINT_OUT && A->my_rank==0 ) lis_print_rhistory(iter,nrm2);
}
if( tol >= nrm2 )
{
solver->retcode = LIS_SUCCESS;
solver->iter = iter;
solver->resid = nrm2;
solver->ptime = ptime;
LIS_DEBUG_FUNC_OUT;
return LIS_SUCCESS;
}
/* rtld = rtld - alpha*aptld */
/* z = z - alpha*map */
/* ztld = M^-T * rtld */
/* az = A * z */
/* rho = <az,ztld> */
lis_vector_axpyex_mmm(alpha,aptld,rtld);
lis_vector_axpyex_mmm(alpha,map,z);
time = lis_wtime();
lis_psolvet(solver, rtld, ztld);
ptime += lis_wtime()-time;
lis_matvec(A,z,az);
lis_vector_dotex_mmm(az,ztld,&rho);
/* test breakdown */
if( rho.hi[0]==0.0 && rho.lo[0]==0.0 )
{
solver->retcode = LIS_BREAKDOWN;
solver->iter = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_BREAKDOWN;
}
/* beta = rho / rho_old */
/* p = z + beta*p */
/* ptld = ztld + beta*ptld */
/* ap = az + beta*ap */
lis_quad_div((LIS_QUAD *)beta.hi,(LIS_QUAD *)rho.hi,(LIS_QUAD *)rho_old.hi);
lis_vector_xpayex_mmm(z,beta,p);
lis_vector_xpayex_mmm(ztld,beta,ptld);
lis_vector_xpayex_mmm(az,beta,ap);
rho_old.hi[0] = rho.hi[0];
rho_old.lo[0] = rho.lo[0];
}
solver->retcode = LIS_MAXITER;
solver->iter = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_MAXITER;
}
LIS_INT lis_bicg_switch(LIS_SOLVER solver)
{
LIS_MATRIX A,At;
LIS_VECTOR x;
LIS_VECTOR r,rtld, z,ztld,p, ptld, q, qtld;
LIS_QUAD_PTR alpha, beta, rho, rho_old, tmpdot1;
LIS_REAL bnrm2, nrm2, tol, tol2;
LIS_INT iter,maxiter,output,conv;
LIS_INT iter2,maxiter2;
double time,ptime;
LIS_DEBUG_FUNC_IN;
A = solver->A;
At = solver->A;
x = solver->x;
maxiter = solver->options[LIS_OPTIONS_MAXITER];
maxiter2 = solver->options[LIS_OPTIONS_SWITCH_MAXITER];
output = solver->options[LIS_OPTIONS_OUTPUT];
conv = solver->options[LIS_OPTIONS_CONV_COND];
tol = solver->params[LIS_PARAMS_RESID-LIS_OPTIONS_LEN];
tol2 = solver->params[LIS_PARAMS_SWITCH_RESID-LIS_OPTIONS_LEN];
ptime = 0.0;
r = solver->work[0];
rtld = solver->work[1];
z = solver->work[2];
ztld = solver->work[3];
p = solver->work[4];
ptld = solver->work[5];
q = solver->work[2];
qtld = solver->work[3];
LIS_QUAD_SCALAR_MALLOC(alpha,0,1);
LIS_QUAD_SCALAR_MALLOC(beta,1,1);
LIS_QUAD_SCALAR_MALLOC(rho,2,1);
LIS_QUAD_SCALAR_MALLOC(rho_old,3,1);
LIS_QUAD_SCALAR_MALLOC(tmpdot1,4,1);
rho_old.hi[0] = 1.0;
rho_old.lo[0] = 0.0;
/* Initial Residual */
if( lis_solver_get_initial_residual(solver,NULL,NULL,r,&bnrm2) )
{
LIS_DEBUG_FUNC_OUT;
return LIS_SUCCESS;
}
tol2 = solver->tol_switch;
lis_solver_set_shadowresidual(solver,r,rtld);
lis_vector_set_allex_nm(0.0, p);
lis_vector_set_allex_nm(0.0, ptld);
r->precision = LIS_PRECISION_DEFAULT;
rtld->precision = LIS_PRECISION_DEFAULT;
p->precision = LIS_PRECISION_DEFAULT;
ptld->precision = LIS_PRECISION_DEFAULT;
for( iter=1; iter<=maxiter2; iter++ )
{
/* z = M^-1 * r */
/* ztld = M^-T * rtld */
time = lis_wtime();
lis_psolve(solver, r, z);
lis_psolvet(solver, rtld, ztld);
ptime += lis_wtime()-time;
/* rho = <z,rtld> */
lis_vector_dot(z,rtld,&rho.hi[0]);
/* test breakdown */
if( rho.hi[0]==0.0 )
{
solver->retcode = LIS_BREAKDOWN;
solver->iter = iter;
solver->iter2 = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_BREAKDOWN;
}
/* beta = (rho / rho_old) */
beta.hi[0] = rho.hi[0] / rho_old.hi[0];
/* p = z + beta*p */
/* ptld = ztld + beta*ptld */
/* q = A * p */
/* qtld = A^T * ptld */
lis_vector_xpay(z,beta.hi[0],p);
lis_matvec(A,p,q);
lis_vector_xpay(ztld,beta.hi[0],ptld);
lis_matvect(At,ptld,qtld);
/* tmpdot1 = <ptld,q> */
lis_vector_dot(ptld,q,&tmpdot1.hi[0]);
/* test breakdown */
if( tmpdot1.hi[0]==0.0 )
{
solver->retcode = LIS_BREAKDOWN;
solver->iter = iter;
solver->iter2 = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_BREAKDOWN;
}
/* alpha = rho / tmpdot1 */
alpha.hi[0] = rho.hi[0] / tmpdot1.hi[0];
/* x = x + alpha*p */
lis_vector_axpy(alpha.hi[0],p,x);
/* r = r - alpha*q */
lis_vector_axpy(-alpha.hi[0],q,r);
/* convergence check */
lis_solver_get_residual[conv](r,solver,&nrm2);
if( output )
{
if( output & LIS_PRINT_MEM ) solver->rhistory[iter] = nrm2;
if( output & LIS_PRINT_OUT && A->my_rank==0 ) lis_print_rhistory(iter,nrm2);
}
if( nrm2 <= tol2 )
{
solver->iter = iter;
solver->iter2 = iter;
solver->ptime = ptime;
break;
}
/* rtld = rtld - alpha*qtld */
lis_vector_axpy(-alpha.hi[0],qtld,rtld);
rho_old.hi[0] = rho.hi[0];
}
r->precision = LIS_PRECISION_QUAD;
rtld->precision = LIS_PRECISION_QUAD;
p->precision = LIS_PRECISION_QUAD;
ptld->precision = LIS_PRECISION_QUAD;
/* solver->precon->precon_type = 0;*/
solver->options[LIS_OPTIONS_INITGUESS_ZEROS] = LIS_FALSE;
lis_vector_copyex_mn(x,solver->xx);
rho_old.hi[0] = 1.0;
lis_solver_get_initial_residual(solver,NULL,NULL,r,&bnrm2);
tol = solver->tol;
lis_solver_set_shadowresidual(solver,r,rtld);
lis_vector_set_allex_nm(0.0, p);
lis_vector_set_allex_nm(0.0, ptld);
for( iter2=iter+1; iter2<=maxiter; iter2++ )
{
/* z = M^-1 * r */
/* ztld = M^-T * rtld */
time = lis_wtime();
lis_psolve(solver, r, z);
lis_psolvet(solver, rtld, ztld);
/* memset(z->value_lo,0,n*sizeof(LIS_SCALAR));
memset(ztld->value_lo,0,n*sizeof(LIS_SCALAR));*/
ptime += lis_wtime()-time;
/* rho = <z,rtld> */
lis_vector_dotex_mmm(z,rtld,&rho);
/* printf("rho = %e %e\n",rho.hi[0],rho.lo[0]);*/
/* test breakdown */
if( rho.hi[0]==0.0 && rho.lo[0]==0.0 )
{
solver->retcode = LIS_BREAKDOWN;
solver->iter = iter2;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_BREAKDOWN;
}
/* beta = (rho / rho_old) */
lis_quad_div((LIS_QUAD *)beta.hi,(LIS_QUAD *)rho.hi,(LIS_QUAD *)rho_old.hi);
/* p = z + beta*p */
/* ptld = ztld + beta*ptld */
/* q = A * p */
/* qtld = A^T * ptld */
lis_vector_xpayex_mmm(z,beta,p);
lis_matvec(A,p,q);
lis_vector_xpayex_mmm(ztld,beta,ptld);
lis_matvect(At,ptld,qtld);
/* tmpdot1 = <ptld,q> */
lis_vector_dotex_mmm(ptld,q,&tmpdot1);
/* test breakdown */
if( tmpdot1.hi[0]==0.0 && tmpdot1.lo[0]==0.0 )
{
solver->retcode = LIS_BREAKDOWN;
solver->iter = iter2;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_BREAKDOWN;
}
/* alpha = rho / tmpdot1 */
lis_quad_div((LIS_QUAD *)alpha.hi,(LIS_QUAD *)rho.hi,(LIS_QUAD *)tmpdot1.hi);
/* x = x + alpha*p */
lis_vector_axpyex_mmm(alpha,p,x);
/* r = r - alpha*q */
lis_quad_minus((LIS_QUAD *)alpha.hi);
lis_vector_axpyex_mmm(alpha,q,r);
/* convergence check */
lis_solver_get_residual[conv](r,solver,&nrm2);
if( output )
{
if( output & LIS_PRINT_MEM ) solver->rhistory[iter2] = nrm2;
if( output & LIS_PRINT_OUT && A->my_rank==0 ) lis_print_rhistory(iter,nrm2);
}
if( tol > nrm2 )
{
solver->retcode = LIS_SUCCESS;
solver->iter = iter2;
solver->iter2 = iter;
solver->resid = nrm2;
solver->ptime = ptime;
LIS_DEBUG_FUNC_OUT;
return LIS_SUCCESS;
}
/* rtld = rtld - alpha*qtld */
lis_vector_axpyex_mmm(alpha,qtld,rtld);
rho_old.hi[0] = rho.hi[0];
rho_old.lo[0] = rho.lo[0];
}
solver->retcode = LIS_MAXITER;
solver->iter = iter2;
solver->iter2 = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_MAXITER;
}
LIS_INT lis_bicg(LIS_SOLVER solver)
{
LIS_MATRIX A,At;
LIS_VECTOR x;
LIS_VECTOR r,rtld, z,ztld,p, ptld, q, qtld;
LIS_SCALAR alpha, beta, rho, rho_old, tmpdot1;
LIS_REAL bnrm2, nrm2, tol;
LIS_INT iter,maxiter,output,conv;
double time,ptime;
LIS_DEBUG_FUNC_IN;
A = solver->A;
At = solver->A;
x = solver->x;
maxiter = solver->options[LIS_OPTIONS_MAXITER];
output = solver->options[LIS_OPTIONS_OUTPUT];
conv = solver->options[LIS_OPTIONS_CONV_COND];
ptime = 0.0;
r = solver->work[0];
rtld = solver->work[1];
z = solver->work[2];
ztld = solver->work[3];
p = solver->work[4];
ptld = solver->work[5];
q = solver->work[2];
qtld = solver->work[3];
rho_old = (LIS_SCALAR)1.0;
/* Initial Residual */
if( lis_solver_get_initial_residual(solver,NULL,NULL,r,&bnrm2) )
{
LIS_DEBUG_FUNC_OUT;
return LIS_SUCCESS;
}
tol = solver->tol;
lis_solver_set_shadowresidual(solver,r,rtld);
lis_vector_set_all(0, p);
lis_vector_set_all(0, ptld);
for( iter=1; iter<=maxiter; iter++ )
{
/* z = M^-1 * r */
/* ztld = M^-T * rtld */
time = lis_wtime();
lis_psolve(solver, r, z);
lis_psolvet(solver, rtld, ztld);
ptime += lis_wtime()-time;
/* rho = <z,rtld> */
lis_vector_dot(z,rtld,&rho);
/* printf("rho = %e\n",rho);*/
/* test breakdown */
if( rho==0.0 )
{
solver->retcode = LIS_BREAKDOWN;
solver->iter = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_BREAKDOWN;
}
/* beta = (rho / rho_old) */
beta = rho / rho_old;
/* p = z + beta*p */
/* ptld = ztld + beta*ptld */
/* q = A * p */
/* qtld = A^T * ptld */
lis_vector_xpay(z,beta,p);
lis_matvec(A,p,q);
lis_vector_xpay(ztld,beta,ptld);
lis_matvect(At,ptld,qtld);
/* tmpdot1 = <ptld,q> */
lis_vector_dot(ptld,q,&tmpdot1);
/* printf("tmpdot1 = %e\n",tmpdot1);*/
/* test breakdown */
if( tmpdot1==0.0 )
{
solver->retcode = LIS_BREAKDOWN;
solver->iter = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_BREAKDOWN;
}
/* alpha = rho / tmpdot1 */
alpha = rho / tmpdot1;
/* x = x + alpha*p */
lis_vector_axpy(alpha,p,x);
/* r = r - alpha*q */
lis_vector_axpy(-alpha,q,r);
/* convergence check */
lis_solver_get_residual[conv](r,solver,&nrm2);
if( output )
{
if( output & LIS_PRINT_MEM ) solver->rhistory[iter] = nrm2;
if( output & LIS_PRINT_OUT && A->my_rank==0 ) lis_print_rhistory(iter,nrm2);
}
if( tol >= nrm2 )
{
solver->retcode = LIS_SUCCESS;
solver->iter = iter;
solver->resid = nrm2;
solver->ptime = ptime;
LIS_DEBUG_FUNC_OUT;
return LIS_SUCCESS;
}
/* rtld = rtld - alpha*qtld */
lis_vector_axpy(-alpha,qtld,rtld);
rho_old = rho;
}
solver->retcode = LIS_MAXITER;
solver->iter = iter;
solver->resid = nrm2;
LIS_DEBUG_FUNC_OUT;
return LIS_MAXITER;
}
