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Block CG improvements to develop

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This commit is contained in:
Azusa Yamaguchi 2018-11-06 12:49:05 +00:00
parent 8f514ae550
commit 4a47b11876
8 changed files with 1003 additions and 189 deletions
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446
Grid/algorithms/iterative/BlockConjugateGradient.h
View File

@ -33,7 +33,7 @@ directory
namespace Grid { namespace Grid {
enum BlockCGtype { BlockCG, BlockCGrQ, CGmultiRHS }; enum BlockCGtype { BlockCG, BlockCGrQ, CGmultiRHS, BlockCGVec, BlockCGrQVec };
////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////
// Block conjugate gradient. Dimension zero should be the block direction // Block conjugate gradient. Dimension zero should be the block direction
@ -42,7 +42,6 @@ template <class Field>
class BlockConjugateGradient : public OperatorFunction<Field> { class BlockConjugateGradient : public OperatorFunction<Field> {
public: public:
typedef typename Field::scalar_type scomplex; typedef typename Field::scalar_type scomplex;
int blockDim ; int blockDim ;
@ -54,21 +53,15 @@ class BlockConjugateGradient : public OperatorFunction<Field> {
RealD Tolerance; RealD Tolerance;
Integer MaxIterations; Integer MaxIterations;
Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion Integer IterationsToComplete; //Number of iterations the CG took to finish. Filled in upon completion
Integer PrintInterval; //GridLogMessages or Iterative
BlockConjugateGradient(BlockCGtype cgtype,int _Orthog,RealD tol, Integer maxit, bool err_on_no_conv = true) BlockConjugateGradient(BlockCGtype cgtype,int _Orthog,RealD tol, Integer maxit, bool err_on_no_conv = true)
: Tolerance(tol), CGtype(cgtype), blockDim(_Orthog), MaxIterations(maxit), ErrorOnNoConverge(err_on_no_conv) : Tolerance(tol), CGtype(cgtype), blockDim(_Orthog), MaxIterations(maxit), ErrorOnNoConverge(err_on_no_conv),PrintInterval(100)
{}; {};
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
// Thin QR factorisation (google it) // Thin QR factorisation (google it)
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
void ThinQRfact (Eigen::MatrixXcd &m_rr,
Eigen::MatrixXcd &C,
Eigen::MatrixXcd &Cinv,
Field & Q,
const Field & R)
{
int Orthog = blockDim; // First dimension is block dim; this is an assumption
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
//Dimensions //Dimensions
// R_{ferm x Nblock} = Q_{ferm x Nblock} x C_{Nblock x Nblock} -> ferm x Nblock // R_{ferm x Nblock} = Q_{ferm x Nblock} x C_{Nblock x Nblock} -> ferm x Nblock
@ -85,22 +78,20 @@ void ThinQRfact (Eigen::MatrixXcd &m_rr,
// Cdag C = Rdag R ; passes. // Cdag C = Rdag R ; passes.
// QdagQ = 1 ; passes // QdagQ = 1 ; passes
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
void ThinQRfact (Eigen::MatrixXcd &m_rr,
Eigen::MatrixXcd &C,
Eigen::MatrixXcd &Cinv,
Field & Q,
const Field & R)
{
int Orthog = blockDim; // First dimension is block dim; this is an assumption
sliceInnerProductMatrix(m_rr,R,R,Orthog); sliceInnerProductMatrix(m_rr,R,R,Orthog);
// Force manifest hermitian to avoid rounding related // Force manifest hermitian to avoid rounding related
m_rr = 0.5*(m_rr+m_rr.adjoint()); m_rr = 0.5*(m_rr+m_rr.adjoint());
#if 0
std::cout << " Calling Cholesky ldlt on m_rr " << m_rr <<std::endl;
Eigen::MatrixXcd L_ldlt = m_rr.ldlt().matrixL();
std::cout << " Called Cholesky ldlt on m_rr " << L_ldlt <<std::endl;
auto D_ldlt = m_rr.ldlt().vectorD();
std::cout << " Called Cholesky ldlt on m_rr " << D_ldlt <<std::endl;
#endif
// std::cout << " Calling Cholesky llt on m_rr " <<std::endl;
Eigen::MatrixXcd L = m_rr.llt().matrixL(); Eigen::MatrixXcd L = m_rr.llt().matrixL();
// std::cout << " Called Cholesky llt on m_rr " << L <<std::endl;
C = L.adjoint(); C = L.adjoint();
Cinv = C.inverse(); Cinv = C.inverse();
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
@ -112,6 +103,25 @@ void ThinQRfact (Eigen::MatrixXcd &m_rr,
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
sliceMulMatrix(Q,Cinv,R,Orthog); sliceMulMatrix(Q,Cinv,R,Orthog);
} }
// see comments above
void ThinQRfact (Eigen::MatrixXcd &m_rr,
Eigen::MatrixXcd &C,
Eigen::MatrixXcd &Cinv,
std::vector<Field> & Q,
const std::vector<Field> & R)
{
InnerProductMatrix(m_rr,R,R);
m_rr = 0.5*(m_rr+m_rr.adjoint());
Eigen::MatrixXcd L = m_rr.llt().matrixL();
C = L.adjoint();
Cinv = C.inverse();
MulMatrix(Q,Cinv,R);
}
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
// Call one of several implementations // Call one of several implementations
//////////////////////////////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////////////////////////////
@ -119,14 +129,20 @@ void operator()(LinearOperatorBase<Field> &Linop, const Field &Src, Field &Psi)
{ {
if ( CGtype == BlockCGrQ ) { if ( CGtype == BlockCGrQ ) {
BlockCGrQsolve(Linop,Src,Psi); BlockCGrQsolve(Linop,Src,Psi);
} else if (CGtype == BlockCG ) {
BlockCGsolve(Linop,Src,Psi);
} else if (CGtype == CGmultiRHS ) { } else if (CGtype == CGmultiRHS ) {
CGmultiRHSsolve(Linop,Src,Psi); CGmultiRHSsolve(Linop,Src,Psi);
} else { } else {
assert(0); assert(0);
} }
} }
void operator()(LinearOperatorBase<Field> &Linop, const std::vector<Field> &Src, std::vector<Field> &Psi)
{
if ( CGtype == BlockCGrQVec ) {
BlockCGrQsolveVec(Linop,Src,Psi);
} else {
assert(0);
}
}
//////////////////////////////////////////////////////////////////////////// ////////////////////////////////////////////////////////////////////////////
// BlockCGrQ implementation: // BlockCGrQ implementation:
@ -139,7 +155,8 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
{ {
int Orthog = blockDim; // First dimension is block dim; this is an assumption int Orthog = blockDim; // First dimension is block dim; this is an assumption
Nblock = B._grid->_fdimensions[Orthog]; Nblock = B._grid->_fdimensions[Orthog];
/* FAKE */
Nblock=8;
std::cout<<GridLogMessage<<" Block Conjugate Gradient : Orthog "<<Orthog<<" Nblock "<<Nblock<<std::endl; std::cout<<GridLogMessage<<" Block Conjugate Gradient : Orthog "<<Orthog<<" Nblock "<<Nblock<<std::endl;
X.checkerboard = B.checkerboard; X.checkerboard = B.checkerboard;
@ -202,15 +219,10 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
std::cout << GridLogMessage<<"BlockCGrQ algorithm initialisation " <<std::endl; std::cout << GridLogMessage<<"BlockCGrQ algorithm initialisation " <<std::endl;
//1. QC = R = B-AX, D = Q ; QC => Thin QR factorisation (google it) //1. QC = R = B-AX, D = Q ; QC => Thin QR factorisation (google it)
Linop.HermOp(X, AD); Linop.HermOp(X, AD);
tmp = B - AD; tmp = B - AD;
//std::cout << GridLogMessage << " initial tmp " << norm2(tmp)<< std::endl;
ThinQRfact (m_rr, m_C, m_Cinv, Q, tmp); ThinQRfact (m_rr, m_C, m_Cinv, Q, tmp);
//std::cout << GridLogMessage << " initial Q " << norm2(Q)<< std::endl;
//std::cout << GridLogMessage << " m_rr " << m_rr<<std::endl;
//std::cout << GridLogMessage << " m_C " << m_C<<std::endl;
//std::cout << GridLogMessage << " m_Cinv " << m_Cinv<<std::endl;
D=Q; D=Q;
std::cout << GridLogMessage<<"BlockCGrQ computed initial residual and QR fact " <<std::endl; std::cout << GridLogMessage<<"BlockCGrQ computed initial residual and QR fact " <<std::endl;
@ -232,14 +244,12 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
MatrixTimer.Start(); MatrixTimer.Start();
Linop.HermOp(D, Z); Linop.HermOp(D, Z);
MatrixTimer.Stop(); MatrixTimer.Stop();
//std::cout << GridLogMessage << " norm2 Z " <<norm2(Z)<<std::endl;
//4. M = [D^dag Z]^{-1} //4. M = [D^dag Z]^{-1}
sliceInnerTimer.Start(); sliceInnerTimer.Start();
sliceInnerProductMatrix(m_DZ,D,Z,Orthog); sliceInnerProductMatrix(m_DZ,D,Z,Orthog);
sliceInnerTimer.Stop(); sliceInnerTimer.Stop();
m_M = m_DZ.inverse(); m_M = m_DZ.inverse();
//std::cout << GridLogMessage << " m_DZ " <<m_DZ<<std::endl;
//5. X = X + D MC //5. X = X + D MC
m_tmp = m_M * m_C; m_tmp = m_M * m_C;
@ -257,6 +267,7 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
//7. D = Q + D S^dag //7. D = Q + D S^dag
m_tmp = m_S.adjoint(); m_tmp = m_S.adjoint();
sliceMaddTimer.Start(); sliceMaddTimer.Start();
sliceMaddMatrix(D,m_tmp,D,Q,Orthog); sliceMaddMatrix(D,m_tmp,D,Q,Orthog);
sliceMaddTimer.Stop(); sliceMaddTimer.Stop();
@ -317,152 +328,6 @@ void BlockCGrQsolve(LinearOperatorBase<Field> &Linop, const Field &B, Field &X)
IterationsToComplete = k; IterationsToComplete = k;
} }
////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////
// Block conjugate gradient; Original O'Leary Dimension zero should be the block direction
//////////////////////////////////////////////////////////////////////////
void BlockCGsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &Psi)
{
int Orthog = blockDim; // First dimension is block dim; this is an assumption
Nblock = Src._grid->_fdimensions[Orthog];
std::cout<<GridLogMessage<<" Block Conjugate Gradient : Orthog "<<Orthog<<" Nblock "<<Nblock<<std::endl;
Psi.checkerboard = Src.checkerboard;
conformable(Psi, Src);
Field P(Src);
Field AP(Src);
Field R(Src);
Eigen::MatrixXcd m_pAp = Eigen::MatrixXcd::Identity(Nblock,Nblock);
Eigen::MatrixXcd m_pAp_inv= Eigen::MatrixXcd::Identity(Nblock,Nblock);
Eigen::MatrixXcd m_rr = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_rr_inv = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_alpha = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_beta = Eigen::MatrixXcd::Zero(Nblock,Nblock);
// Initial residual computation & set up
std::vector<RealD> residuals(Nblock);
std::vector<RealD> ssq(Nblock);
sliceNorm(ssq,Src,Orthog);
RealD sssum=0;
for(int b=0;b<Nblock;b++) sssum+=ssq[b];
sliceNorm(residuals,Src,Orthog);
for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
sliceNorm(residuals,Psi,Orthog);
for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
// Initial search dir is guess
Linop.HermOp(Psi, AP);
/************************************************************************
* Block conjugate gradient (Stephen Pickles, thesis 1995, pp 71, O Leary 1980)
************************************************************************
* O'Leary : R = B - A X
* O'Leary : P = M R ; preconditioner M = 1
* O'Leary : alpha = PAP^{-1} RMR
* O'Leary : beta = RMR^{-1}_old RMR_new
* O'Leary : X=X+Palpha
* O'Leary : R_new=R_old-AP alpha
* O'Leary : P=MR_new+P beta
*/
R = Src - AP;
P = R;
sliceInnerProductMatrix(m_rr,R,R,Orthog);
GridStopWatch sliceInnerTimer;
GridStopWatch sliceMaddTimer;
GridStopWatch MatrixTimer;
GridStopWatch SolverTimer;
SolverTimer.Start();
int k;
for (k = 1; k <= MaxIterations; k++) {
RealD rrsum=0;
for(int b=0;b<Nblock;b++) rrsum+=real(m_rr(b,b));
std::cout << GridLogIterative << "\titeration "<<k<<" rr_sum "<<rrsum<<" ssq_sum "<< sssum
<<" / "<<std::sqrt(rrsum/sssum) <<std::endl;
MatrixTimer.Start();
Linop.HermOp(P, AP);
MatrixTimer.Stop();
// Alpha
sliceInnerTimer.Start();
sliceInnerProductMatrix(m_pAp,P,AP,Orthog);
sliceInnerTimer.Stop();
m_pAp_inv = m_pAp.inverse();
m_alpha = m_pAp_inv * m_rr ;
// Psi, R update
sliceMaddTimer.Start();
sliceMaddMatrix(Psi,m_alpha, P,Psi,Orthog); // add alpha * P to psi
sliceMaddMatrix(R ,m_alpha,AP, R,Orthog,-1.0);// sub alpha * AP to resid
sliceMaddTimer.Stop();
// Beta
m_rr_inv = m_rr.inverse();
sliceInnerTimer.Start();
sliceInnerProductMatrix(m_rr,R,R,Orthog);
sliceInnerTimer.Stop();
m_beta = m_rr_inv *m_rr;
// Search update
sliceMaddTimer.Start();
sliceMaddMatrix(AP,m_beta,P,R,Orthog);
sliceMaddTimer.Stop();
P= AP;
/*********************
* convergence monitor
*********************
*/
RealD max_resid=0;
RealD rr;
for(int b=0;b<Nblock;b++){
rr = real(m_rr(b,b))/ssq[b];
if ( rr > max_resid ) max_resid = rr;
}
if ( max_resid < Tolerance*Tolerance ) {
SolverTimer.Stop();
std::cout << GridLogMessage<<"BlockCG converged in "<<k<<" iterations"<<std::endl;
for(int b=0;b<Nblock;b++){
std::cout << GridLogMessage<< "\t\tblock "<<b<<" computed resid "
<< std::sqrt(real(m_rr(b,b))/ssq[b])<<std::endl;
}
std::cout << GridLogMessage<<"\tMax residual is "<<std::sqrt(max_resid)<<std::endl;
Linop.HermOp(Psi, AP);
AP = AP-Src;
std::cout << GridLogMessage <<"\t True residual is " << std::sqrt(norm2(AP)/norm2(Src)) <<std::endl;
std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tInnerProd " << sliceInnerTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tMaddMatrix " << sliceMaddTimer.Elapsed() <<std::endl;
IterationsToComplete = k;
return;
}
}
std::cout << GridLogMessage << "BlockConjugateGradient did NOT converge" << std::endl;
if (ErrorOnNoConverge) assert(0);
IterationsToComplete = k;
}
//////////////////////////////////////////////////////////////////////////
// multiRHS conjugate gradient. Dimension zero should be the block direction // multiRHS conjugate gradient. Dimension zero should be the block direction
// Use this for spread out across nodes // Use this for spread out across nodes
////////////////////////////////////////////////////////////////////////// //////////////////////////////////////////////////////////////////////////
@ -600,6 +465,233 @@ void CGmultiRHSsolve(LinearOperatorBase<Field> &Linop, const Field &Src, Field &
IterationsToComplete = k; IterationsToComplete = k;
} }
void InnerProductMatrix(Eigen::MatrixXcd &m , const std::vector<Field> &X, const std::vector<Field> &Y){
for(int b=0;b<Nblock;b++){
for(int bp=0;bp<Nblock;bp++) {
m(b,bp) = innerProduct(X[b],Y[bp]);
}}
}
void MaddMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X,const std::vector<Field> &Y,RealD scale=1.0){
// Should make this cache friendly with site outermost, parallel_for
// Deal with case AP aliases with either Y or X
std::vector<Field> tmp(Nblock,X[0]);
for(int b=0;b<Nblock;b++){
tmp[b] = Y[b];
for(int bp=0;bp<Nblock;bp++) {
tmp[b] = tmp[b] + (scale*m(bp,b))*X[bp];
}
}
for(int b=0;b<Nblock;b++){
AP[b] = tmp[b];
}
}
void MulMatrix(std::vector<Field> &AP, Eigen::MatrixXcd &m , const std::vector<Field> &X){
// Should make this cache friendly with site outermost, parallel_for
for(int b=0;b<Nblock;b++){
AP[b] = zero;
for(int bp=0;bp<Nblock;bp++) {
AP[b] += (m(bp,b))*X[bp];
}
}
}
double normv(const std::vector<Field> &P){
double nn = 0.0;
for(int b=0;b<Nblock;b++) {
nn+=norm2(P[b]);
}
return nn;
}
////////////////////////////////////////////////////////////////////////////
// BlockCGrQvec implementation:
//--------------------------
// X is guess/Solution
// B is RHS
// Solve A X_i = B_i ; i refers to Nblock index
////////////////////////////////////////////////////////////////////////////
void BlockCGrQsolveVec(LinearOperatorBase<Field> &Linop, const std::vector<Field> &B, std::vector<Field> &X)
{
Nblock = B.size();
assert(Nblock == X.size());
std::cout<<GridLogMessage<<" Block Conjugate Gradient Vec rQ : Nblock "<<Nblock<<std::endl;
for(int b=0;b<Nblock;b++){
X[b].checkerboard = B[b].checkerboard;
conformable(X[b], B[b]);
conformable(X[b], X[0]);
}
Field Fake(B[0]);
std::vector<Field> tmp(Nblock,Fake);
std::vector<Field> Q(Nblock,Fake);
std::vector<Field> D(Nblock,Fake);
std::vector<Field> Z(Nblock,Fake);
std::vector<Field> AD(Nblock,Fake);
Eigen::MatrixXcd m_DZ = Eigen::MatrixXcd::Identity(Nblock,Nblock);
Eigen::MatrixXcd m_M = Eigen::MatrixXcd::Identity(Nblock,Nblock);
Eigen::MatrixXcd m_rr = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_C = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_Cinv = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_S = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_Sinv = Eigen::MatrixXcd::Zero(Nblock,Nblock);
Eigen::MatrixXcd m_tmp = Eigen::MatrixXcd::Identity(Nblock,Nblock);
Eigen::MatrixXcd m_tmp1 = Eigen::MatrixXcd::Identity(Nblock,Nblock);
// Initial residual computation & set up
std::vector<RealD> residuals(Nblock);
std::vector<RealD> ssq(Nblock);
RealD sssum=0;
for(int b=0;b<Nblock;b++){ ssq[b] = norm2(B[b]);}
for(int b=0;b<Nblock;b++) sssum+=ssq[b];
for(int b=0;b<Nblock;b++){ residuals[b] = norm2(B[b]);}
for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
for(int b=0;b<Nblock;b++){ residuals[b] = norm2(X[b]);}
for(int b=0;b<Nblock;b++){ assert(std::isnan(residuals[b])==0); }
/************************************************************************
* Block conjugate gradient rQ (Sebastien Birk Thesis, after Dubrulle 2001)
************************************************************************
* Dimensions:
*
* X,B==(Nferm x Nblock)
* A==(Nferm x Nferm)
*
* Nferm = Nspin x Ncolour x Ncomplex x Nlattice_site
*
* QC = R = B-AX, D = Q ; QC => Thin QR factorisation (google it)
* for k:
* Z = AD
* M = [D^dag Z]^{-1}
* X = X + D MC
* QS = Q - ZM
* D = Q + D S^dag
* C = S C
*/
///////////////////////////////////////
// Initial block: initial search dir is guess
///////////////////////////////////////
std::cout << GridLogMessage<<"BlockCGrQvec algorithm initialisation " <<std::endl;
//1. QC = R = B-AX, D = Q ; QC => Thin QR factorisation (google it)
for(int b=0;b<Nblock;b++) {
Linop.HermOp(X[b], AD[b]);
tmp[b] = B[b] - AD[b];
}
ThinQRfact (m_rr, m_C, m_Cinv, Q, tmp);
for(int b=0;b<Nblock;b++) D[b]=Q[b];
std::cout << GridLogMessage<<"BlockCGrQ vec computed initial residual and QR fact " <<std::endl;
///////////////////////////////////////
// Timers
///////////////////////////////////////
GridStopWatch sliceInnerTimer;
GridStopWatch sliceMaddTimer;
GridStopWatch QRTimer;
GridStopWatch MatrixTimer;
GridStopWatch SolverTimer;
SolverTimer.Start();
int k;
for (k = 1; k <= MaxIterations; k++) {
//3. Z = AD
MatrixTimer.Start();
for(int b=0;b<Nblock;b++) Linop.HermOp(D[b], Z[b]);
MatrixTimer.Stop();
//4. M = [D^dag Z]^{-1}
sliceInnerTimer.Start();
InnerProductMatrix(m_DZ,D,Z);
sliceInnerTimer.Stop();
m_M = m_DZ.inverse();
//5. X = X + D MC
m_tmp = m_M * m_C;
sliceMaddTimer.Start();
MaddMatrix(X,m_tmp, D,X);
sliceMaddTimer.Stop();
//6. QS = Q - ZM
sliceMaddTimer.Start();
MaddMatrix(tmp,m_M,Z,Q,-1.0);
sliceMaddTimer.Stop();
QRTimer.Start();
ThinQRfact (m_rr, m_S, m_Sinv, Q, tmp);
QRTimer.Stop();
//7. D = Q + D S^dag
m_tmp = m_S.adjoint();
sliceMaddTimer.Start();
MaddMatrix(D,m_tmp,D,Q);
sliceMaddTimer.Stop();
//8. C = S C
m_C = m_S*m_C;
/*********************
* convergence monitor
*********************
*/
m_rr = m_C.adjoint() * m_C;
RealD max_resid=0;
RealD rrsum=0;
RealD rr;
for(int b=0;b<Nblock;b++) {
rrsum+=real(m_rr(b,b));
rr = real(m_rr(b,b))/ssq[b];
if ( rr > max_resid ) max_resid = rr;
}
std::cout << GridLogIterative << "\t Block Iteration "<<k<<" ave resid "<< sqrt(rrsum/sssum) << " max "<< sqrt(max_resid) <<std::endl;
if ( max_resid < Tolerance*Tolerance ) {
SolverTimer.Stop();
std::cout << GridLogMessage<<"BlockCGrQ converged in "<<k<<" iterations"<<std::endl;
for(int b=0;b<Nblock;b++){
std::cout << GridLogMessage<< "\t\tblock "<<b<<" computed resid "<< std::sqrt(real(m_rr(b,b))/ssq[b])<<std::endl;
}
std::cout << GridLogMessage<<"\tMax residual is "<<std::sqrt(max_resid)<<std::endl;
for(int b=0;b<Nblock;b++) Linop.HermOp(X[b], AD[b]);
for(int b=0;b<Nblock;b++) AD[b] = AD[b]-B[b];
std::cout << GridLogMessage <<"\t True residual is " << std::sqrt(normv(AD)/normv(B)) <<std::endl;
std::cout << GridLogMessage << "Time Breakdown "<<std::endl;
std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tInnerProd " << sliceInnerTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tMaddMatrix " << sliceMaddTimer.Elapsed() <<std::endl;
std::cout << GridLogMessage << "\tThinQRfact " << QRTimer.Elapsed() <<std::endl;
IterationsToComplete = k;
return;
}
}
std::cout << GridLogMessage << "BlockConjugateGradient(rQ) did NOT converge" << std::endl;
if (ErrorOnNoConverge) assert(0);
IterationsToComplete = k;
}
}; };
} }

16
Grid/algorithms/iterative/ConjugateGradient.h
View File

@ -133,7 +133,7 @@ class ConjugateGradient : public OperatorFunction<Field> {
LinalgTimer.Stop(); LinalgTimer.Stop();
std::cout << GridLogIterative << "ConjugateGradient: Iteration " << k std::cout << GridLogIterative << "ConjugateGradient: Iteration " << k
<< " residual " << cp << " target " << rsq << std::endl; << " residual^2 " << sqrt(cp/ssq) << " target " << Tolerance << std::endl;
// Stopping condition // Stopping condition
if (cp <= rsq) { if (cp <= rsq) {
@ -150,13 +150,13 @@ class ConjugateGradient : public OperatorFunction<Field> {
std::cout << GridLogMessage << "\tTrue residual " << true_residual<<std::endl; std::cout << GridLogMessage << "\tTrue residual " << true_residual<<std::endl;
std::cout << GridLogMessage << "\tTarget " << Tolerance << std::endl; std::cout << GridLogMessage << "\tTarget " << Tolerance << std::endl;
std::cout << GridLogPerformance << "Time breakdown "<<std::endl; std::cout << GridLogMessage << "Time breakdown "<<std::endl;
std::cout << GridLogPerformance << "\tElapsed " << SolverTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tElapsed " << SolverTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tMatrix " << MatrixTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\tLinalg " << LinalgTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tLinalg " << LinalgTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\tInner " << InnerTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tInner " << InnerTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\tAxpyNorm " << AxpyNormTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tAxpyNorm " << AxpyNormTimer.Elapsed() <<std::endl;
std::cout << GridLogPerformance << "\tLinearComb " << LinearCombTimer.Elapsed() <<std::endl; std::cout << GridLogMessage << "\tLinearComb " << LinearCombTimer.Elapsed() <<std::endl;
if (ErrorOnNoConverge) assert(true_residual / Tolerance < 10000.0); if (ErrorOnNoConverge) assert(true_residual / Tolerance < 10000.0);

9
tests/solver/Test_dwf_mrhs_cg_mpi.cc
View File

@ -38,6 +38,7 @@ int main (int argc, char ** argv)
typedef typename DomainWallFermionR::ComplexField ComplexField; typedef typename DomainWallFermionR::ComplexField ComplexField;
typename DomainWallFermionR::ImplParams params; typename DomainWallFermionR::ImplParams params;
double stp=1.0e-5;
const int Ls=4; const int Ls=4;
Grid_init(&argc,&argv); Grid_init(&argc,&argv);
@ -197,7 +198,7 @@ int main (int argc, char ** argv)
MdagMLinearOperator<DomainWallFermionR,FermionField> HermOp(Ddwf); MdagMLinearOperator<DomainWallFermionR,FermionField> HermOp(Ddwf);
MdagMLinearOperator<DomainWallFermionR,FermionField> HermOpCk(Dchk); MdagMLinearOperator<DomainWallFermionR,FermionField> HermOpCk(Dchk);
ConjugateGradient<FermionField> CG((1.0e-2),10000); ConjugateGradient<FermionField> CG((stp),10000);
s_res = zero; s_res = zero;
CG(HermOp,s_src,s_res); CG(HermOp,s_src,s_res);
@ -227,5 +228,11 @@ int main (int argc, char ** argv)
std::cout << GridLogMessage<<" resid["<<n<<"] "<< norm2(tmp)/norm2(src[n])<<std::endl; std::cout << GridLogMessage<<" resid["<<n<<"] "<< norm2(tmp)/norm2(src[n])<<std::endl;
} }
for(int s=0;s<nrhs;s++) result[s]=zero;
int blockDim = 0;//not used for BlockCGVec
BlockConjugateGradient<FermionField> BCGV (BlockCGVec,blockDim,stp,10000);
BCGV.PrintInterval=10;
BCGV(HermOpCk,src,result);
Grid_finalize(); Grid_finalize();
} }

220
tests/solver/Test_mobius_bcg.cc Normal file
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@ -0,0 +1,220 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_dwf_mrhs_cg.cc
Copyright (C) 2015
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/
/* END LEGAL */
#include <Grid/Grid.h>
#include <Grid/algorithms/iterative/BlockConjugateGradient.h>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
int main (int argc, char ** argv)
{
typedef typename MobiusFermionR::FermionField FermionField;
typedef typename MobiusFermionR::ComplexField ComplexField;
typename MobiusFermionR::ImplParams params;
const int Ls=12;
Grid_init(&argc,&argv);
std::vector<int> latt_size = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
std::vector<int> mpi_split (mpi_layout.size(),1);
std::vector<int> split_coor (mpi_layout.size(),1);
std::vector<int> split_dim (mpi_layout.size(),1);
std::vector<ComplexD> boundary_phases(Nd,1.);
boundary_phases[Nd-1]=-1.;
params.boundary_phases = boundary_phases;
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
GridDefaultSimd(Nd,vComplex::Nsimd()),
GridDefaultMpi());
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
GridRedBlackCartesian * rbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
/////////////////////////////////////////////
// Split into 1^4 mpi communicators
/////////////////////////////////////////////
for(int i=0;i<argc;i++){
if(std::string(argv[i]) == "--split"){
for(int k=0;k<mpi_layout.size();k++){
std::stringstream ss;
ss << argv[i+1+k];
ss >> mpi_split[k];
}
break;
}
}
double stp = 1.e-8;
int nrhs = 1;
int me;
for(int i=0;i<mpi_layout.size();i++){
// split_dim[i] = (mpi_layout[i]/mpi_split[i]);
nrhs *= (mpi_layout[i]/mpi_split[i]);
// split_coor[i] = FGrid._processor_coor[i]/mpi_split[i];
}
std::cout << GridLogMessage << "Creating split grids " <<std::endl;
GridCartesian * SGrid = new GridCartesian(GridDefaultLatt(),
GridDefaultSimd(Nd,vComplex::Nsimd()),
mpi_split,
*UGrid,me);
std::cout << GridLogMessage <<"Creating split ferm grids " <<std::endl;
GridCartesian * SFGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,SGrid);
std::cout << GridLogMessage <<"Creating split rb grids " <<std::endl;
GridRedBlackCartesian * SrbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(SGrid);
std::cout << GridLogMessage <<"Creating split ferm rb grids " <<std::endl;
GridRedBlackCartesian * SFrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,SGrid);
std::cout << GridLogMessage << "Made the grids"<<std::endl;
///////////////////////////////////////////////
// Set up the problem as a 4d spreadout job
///////////////////////////////////////////////
std::vector<int> seeds({1,2,3,4});
std::vector<FermionField> src(nrhs,FGrid);
std::vector<FermionField> src_chk(nrhs,FGrid);
std::vector<FermionField> result(nrhs,FGrid);
FermionField tmp(FGrid);
std::cout << GridLogMessage << "Made the Fermion Fields"<<std::endl;
for(int s=0;s<nrhs;s++) result[s]=zero;
GridParallelRNG pRNG5(FGrid); pRNG5.SeedFixedIntegers(seeds);
for(int s=0;s<nrhs;s++) {
random(pRNG5,src[s]);
std::cout << GridLogMessage << " src ["<<s<<"] "<<norm2(src[s])<<std::endl;
}
std::cout << GridLogMessage << "Intialised the Fermion Fields"<<std::endl;
LatticeGaugeField Umu(UGrid);
if(0) {
FieldMetaData header;
std::string file("./lat.in");
NerscIO::readConfiguration(Umu,header,file);
std::cout << GridLogMessage << " "<<file<<" successfully read" <<std::endl;
} else {
GridParallelRNG pRNG(UGrid );
std::cout << GridLogMessage << "Intialising 4D RNG "<<std::endl;
pRNG.SeedFixedIntegers(seeds);
std::cout << GridLogMessage << "Intialised 4D RNG "<<std::endl;
SU3::HotConfiguration(pRNG,Umu);
std::cout << GridLogMessage << "Intialised the HOT Gauge Field"<<std::endl;
std::cout << " Site zero "<< Umu._odata[0] <<std::endl;
}
/////////////////
// MPI only sends
/////////////////
LatticeGaugeField s_Umu(SGrid);
FermionField s_src(SFGrid);
FermionField s_tmp(SFGrid);
FermionField s_res(SFGrid);
std::cout << GridLogMessage << "Made the split grid fields"<<std::endl;
///////////////////////////////////////////////////////////////
// split the source out using MPI instead of I/O
///////////////////////////////////////////////////////////////
Grid_split (Umu,s_Umu);
Grid_split (src,s_src);
std::cout << GridLogMessage << " split rank " <<me << " s_src "<<norm2(s_src)<<std::endl;
///////////////////////////////////////////////////////////////
// Set up N-solvers as trivially parallel
///////////////////////////////////////////////////////////////
std::cout << GridLogMessage << " Building the solvers"<<std::endl;
// RealD mass=0.00107;
RealD mass=0.1;
RealD M5=1.8;
RealD mobius_factor=32./12.;
RealD mobius_b=0.5*(mobius_factor+1.);
RealD mobius_c=0.5*(mobius_factor-1.);
MobiusFermionR Dchk(Umu,*FGrid,*FrbGrid,*UGrid,*rbGrid,mass,M5,mobius_b,mobius_c,params);
MobiusFermionR Ddwf(s_Umu,*SFGrid,*SFrbGrid,*SGrid,*SrbGrid,mass,M5,mobius_b,mobius_c,params);
std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
std::cout << GridLogMessage << " Calling DWF CG "<<std::endl;
std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
MdagMLinearOperator<MobiusFermionR,FermionField> HermOp(Ddwf);
MdagMLinearOperator<MobiusFermionR,FermionField> HermOpCk(Dchk);
ConjugateGradient<FermionField> CG((stp),100000);
s_res = zero;
CG(HermOp,s_src,s_res);
std::cout << GridLogMessage << " split residual norm "<<norm2(s_res)<<std::endl;
/////////////////////////////////////////////////////////////
// Report how long they all took
/////////////////////////////////////////////////////////////
std::vector<uint32_t> iterations(nrhs,0);
iterations[me] = CG.IterationsToComplete;
for(int n=0;n<nrhs;n++){
UGrid->GlobalSum(iterations[n]);
std::cout << GridLogMessage<<" Rank "<<n<<" "<< iterations[n]<<" CG iterations"<<std::endl;
}
/////////////////////////////////////////////////////////////
// Gather and residual check on the results
/////////////////////////////////////////////////////////////
std::cout << GridLogMessage<< "Unsplitting the result"<<std::endl;
Grid_unsplit(result,s_res);
std::cout << GridLogMessage<< "Checking the residuals"<<std::endl;
for(int n=0;n<nrhs;n++){
std::cout << GridLogMessage<< " res["<<n<<"] norm "<<norm2(result[n])<<std::endl;
HermOpCk.HermOp(result[n],tmp); tmp = tmp - src[n];
std::cout << GridLogMessage<<" resid["<<n<<"] "<< std::sqrt(norm2(tmp)/norm2(src[n]))<<std::endl;
}
for(int s=0;s<nrhs;s++){
result[s]=zero;
}
/////////////////////////////////////////////////////////////
// Try block CG
/////////////////////////////////////////////////////////////
int blockDim = 0;//not used for BlockCGVec
BlockConjugateGradient<FermionField> BCGV (BlockCGrQVec,blockDim,stp,100000);
{
BCGV(HermOpCk,src,result);
}
Grid_finalize();
}

144
tests/solver/Test_mobius_bcg_nosplit.cc Normal file
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@ -0,0 +1,144 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_dwf_mrhs_cg.cc
Copyright (C) 2015
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/
/* END LEGAL */
#include <Grid/Grid.h>
#include <Grid/algorithms/iterative/BlockConjugateGradient.h>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
int main (int argc, char ** argv)
{
typedef typename DomainWallFermionR::FermionField FermionField;
typedef typename DomainWallFermionR::ComplexField ComplexField;
typename DomainWallFermionR::ImplParams params;
const int Ls=16;
Grid_init(&argc,&argv);
std::vector<int> latt_size = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
std::vector<ComplexD> boundary_phases(Nd,1.);
boundary_phases[Nd-1]=-1.;
params.boundary_phases = boundary_phases;
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
GridDefaultSimd(Nd,vComplex::Nsimd()),
GridDefaultMpi());
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
GridRedBlackCartesian * rbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
double stp = 1.e-8;
int nrhs = 2;
///////////////////////////////////////////////
// Set up the problem as a 4d spreadout job
///////////////////////////////////////////////
std::vector<int> seeds({1,2,3,4});
std::vector<FermionField> src(nrhs,FGrid);
std::vector<FermionField> src_chk(nrhs,FGrid);
std::vector<FermionField> result(nrhs,FGrid);
FermionField tmp(FGrid);
std::cout << GridLogMessage << "Made the Fermion Fields"<<std::endl;
for(int s=0;s<nrhs;s++) result[s]=zero;
GridParallelRNG pRNG5(FGrid); pRNG5.SeedFixedIntegers(seeds);
for(int s=0;s<nrhs;s++) {
random(pRNG5,src[s]);
std::cout << GridLogMessage << " src ["<<s<<"] "<<norm2(src[s])<<std::endl;
}
std::cout << GridLogMessage << "Intialised the Fermion Fields"<<std::endl;
LatticeGaugeField Umu(UGrid);
int conf = 0;
if(conf==0) {
FieldMetaData header;
std::string file("./lat.in");
NerscIO::readConfiguration(Umu,header,file);
std::cout << GridLogMessage << " Config "<<file<<" successfully read" <<std::endl;
} else if (conf==1){
GridParallelRNG pRNG(UGrid );
pRNG.SeedFixedIntegers(seeds);
SU3::HotConfiguration(pRNG,Umu);
std::cout << GridLogMessage << "Intialised the HOT Gauge Field"<<std::endl;
} else {
SU3::ColdConfiguration(Umu);
std::cout << GridLogMessage << "Intialised the COLD Gauge Field"<<std::endl;
}
///////////////////////////////////////////////////////////////
// Set up N-solvers as trivially parallel
///////////////////////////////////////////////////////////////
std::cout << GridLogMessage << " Building the solvers"<<std::endl;
RealD mass=0.01;
RealD M5=1.8;
DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*rbGrid,mass,M5,params);
std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
std::cout << GridLogMessage << " Calling DWF CG "<<std::endl;
std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
MdagMLinearOperator<DomainWallFermionR,FermionField> HermOp(Ddwf);
ConjugateGradient<FermionField> CG((stp),100000);
for(int rhs=0;rhs<1;rhs++){
result[rhs] = zero;
CG(HermOp,src[rhs],result[rhs]);
}
for(int rhs=0;rhs<1;rhs++){
std::cout << " Result["<<rhs<<"] norm = "<<norm2(result[rhs])<<std::endl;
}
/////////////////////////////////////////////////////////////
// Try block CG
/////////////////////////////////////////////////////////////
int blockDim = 0;//not used for BlockCGVec
for(int s=0;s<nrhs;s++){
result[s]=zero;
}
BlockConjugateGradient<FermionField> BCGV (BlockCGrQVec,blockDim,stp,100000);
{
BCGV(HermOp,src,result);
}
for(int rhs=0;rhs<nrhs;rhs++){
std::cout << " Result["<<rhs<<"] norm = "<<norm2(result[rhs])<<std::endl;
}
Grid_finalize();
}

148
tests/solver/Test_mobius_bcg_phys_nosplit.cc Normal file
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@ -0,0 +1,148 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_dwf_mrhs_cg.cc
Copyright (C) 2015
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/
/* END LEGAL */
#include <Grid/Grid.h>
#include <Grid/algorithms/iterative/BlockConjugateGradient.h>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
int main (int argc, char ** argv)
{
typedef typename DomainWallFermionR::FermionField FermionField;
typedef typename DomainWallFermionR::ComplexField ComplexField;
typename DomainWallFermionR::ImplParams params;
const int Ls=16;
Grid_init(&argc,&argv);
std::vector<int> latt_size = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
std::vector<ComplexD> boundary_phases(Nd,1.);
boundary_phases[Nd-1]=-1.;
params.boundary_phases = boundary_phases;
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
GridDefaultSimd(Nd,vComplex::Nsimd()),
GridDefaultMpi());
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
GridRedBlackCartesian * rbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
double stp = 1.e-8;
int nrhs = 2;
///////////////////////////////////////////////
// Set up the problem as a 4d spreadout job
///////////////////////////////////////////////
std::vector<int> seeds({1,2,3,4});
std::vector<FermionField> src4(nrhs,UGrid);
std::vector<FermionField> src(nrhs,FGrid);
std::vector<FermionField> src_chk(nrhs,FGrid);
std::vector<FermionField> result(nrhs,FGrid);
FermionField tmp(FGrid);
std::cout << GridLogMessage << "Made the Fermion Fields"<<std::endl;
for(int s=0;s<nrhs;s++) result[s]=zero;
GridParallelRNG pRNG4(UGrid); pRNG4.SeedFixedIntegers(seeds);
for(int s=0;s<nrhs;s++) {
random(pRNG4,src4[s]);
std::cout << GridLogMessage << " src ["<<s<<"] "<<norm2(src[s])<<std::endl;
}
std::cout << GridLogMessage << "Intialised the Fermion Fields"<<std::endl;
LatticeGaugeField Umu(UGrid);
int conf = 0;
if(conf==0) {
FieldMetaData header;
std::string file("./lat.in");
NerscIO::readConfiguration(Umu,header,file);
std::cout << GridLogMessage << " Config "<<file<<" successfully read" <<std::endl;
} else if (conf==1){
GridParallelRNG pRNG(UGrid );
pRNG.SeedFixedIntegers(seeds);
SU3::HotConfiguration(pRNG,Umu);
std::cout << GridLogMessage << "Intialised the HOT Gauge Field"<<std::endl;
} else {
SU3::ColdConfiguration(Umu);
std::cout << GridLogMessage << "Intialised the COLD Gauge Field"<<std::endl;
}
///////////////////////////////////////////////////////////////
// Set up N-solvers as trivially parallel
///////////////////////////////////////////////////////////////
std::cout << GridLogMessage << " Building the solvers"<<std::endl;
RealD mass=0.01;
RealD M5=1.8;
DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*rbGrid,mass,M5,params);
for(int s=0;s<nrhs;s++) {
Ddwf.ImportPhysicalFermionSource(src4[s],src[s]);
}
std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
std::cout << GridLogMessage << " Calling DWF CG "<<std::endl;
std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
MdagMLinearOperator<DomainWallFermionR,FermionField> HermOp(Ddwf);
ConjugateGradient<FermionField> CG((stp),100000);
for(int rhs=0;rhs<1;rhs++){
result[rhs] = zero;
// CG(HermOp,src[rhs],result[rhs]);
}
for(int rhs=0;rhs<1;rhs++){
std::cout << " Result["<<rhs<<"] norm = "<<norm2(result[rhs])<<std::endl;
}
/////////////////////////////////////////////////////////////
// Try block CG
/////////////////////////////////////////////////////////////
int blockDim = 0;//not used for BlockCGVec
for(int s=0;s<nrhs;s++){
result[s]=zero;
}
BlockConjugateGradient<FermionField> BCGV (BlockCGrQVec,blockDim,stp,100000);
{
BCGV(HermOp,src,result);
}
for(int rhs=0;rhs<nrhs;rhs++){
std::cout << " Result["<<rhs<<"] norm = "<<norm2(result[rhs])<<std::endl;
}
Grid_finalize();
}

144
tests/solver/Test_mobius_bcg_prec_nosplit.cc Normal file
View File

@ -0,0 +1,144 @@
/*************************************************************************************
Grid physics library, www.github.com/paboyle/Grid
Source file: ./tests/Test_dwf_mrhs_cg.cc
Copyright (C) 2015
Author: Peter Boyle <paboyle@ph.ed.ac.uk>
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.,
51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.
See the full license in the file "LICENSE" in the top level distribution directory
*************************************************************************************/
/* END LEGAL */
#include <Grid/Grid.h>
#include <Grid/algorithms/iterative/BlockConjugateGradient.h>
using namespace std;
using namespace Grid;
using namespace Grid::QCD;
int main (int argc, char ** argv)
{
typedef typename DomainWallFermionR::FermionField FermionField;
typedef typename DomainWallFermionR::ComplexField ComplexField;
typename DomainWallFermionR::ImplParams params;
const int Ls=16;
Grid_init(&argc,&argv);
std::vector<int> latt_size = GridDefaultLatt();
std::vector<int> simd_layout = GridDefaultSimd(Nd,vComplex::Nsimd());
std::vector<int> mpi_layout = GridDefaultMpi();
std::vector<ComplexD> boundary_phases(Nd,1.);
boundary_phases[Nd-1]=-1.;
params.boundary_phases = boundary_phases;
GridCartesian * UGrid = SpaceTimeGrid::makeFourDimGrid(GridDefaultLatt(),
GridDefaultSimd(Nd,vComplex::Nsimd()),
GridDefaultMpi());
GridCartesian * FGrid = SpaceTimeGrid::makeFiveDimGrid(Ls,UGrid);
GridRedBlackCartesian * rbGrid = SpaceTimeGrid::makeFourDimRedBlackGrid(UGrid);
GridRedBlackCartesian * FrbGrid = SpaceTimeGrid::makeFiveDimRedBlackGrid(Ls,UGrid);
double stp = 1.e-8;
int nrhs = 4;
///////////////////////////////////////////////
// Set up the problem as a 4d spreadout job
///////////////////////////////////////////////
std::vector<int> seeds({1,2,3,4});
std::vector<FermionField> src(nrhs,FGrid);
std::vector<FermionField> src_chk(nrhs,FGrid);
std::vector<FermionField> result(nrhs,FGrid);
FermionField tmp(FGrid);
std::cout << GridLogMessage << "Made the Fermion Fields"<<std::endl;
for(int s=0;s<nrhs;s++) result[s]=zero;
GridParallelRNG pRNG5(FGrid); pRNG5.SeedFixedIntegers(seeds);
for(int s=0;s<nrhs;s++) {
random(pRNG5,src[s]);
std::cout << GridLogMessage << " src ["<<s<<"] "<<norm2(src[s])<<std::endl;
}
std::cout << GridLogMessage << "Intialised the Fermion Fields"<<std::endl;
LatticeGaugeField Umu(UGrid);
int conf = 0;
if(conf==0) {
FieldMetaData header;
std::string file("./lat.in");
NerscIO::readConfiguration(Umu,header,file);
std::cout << GridLogMessage << " Config "<<file<<" successfully read" <<std::endl;
} else if (conf==1){
GridParallelRNG pRNG(UGrid );
pRNG.SeedFixedIntegers(seeds);
SU3::HotConfiguration(pRNG,Umu);
std::cout << GridLogMessage << "Intialised the HOT Gauge Field"<<std::endl;
} else {
SU3::ColdConfiguration(Umu);
std::cout << GridLogMessage << "Intialised the COLD Gauge Field"<<std::endl;
}
///////////////////////////////////////////////////////////////
// Set up N-solvers as trivially parallel
///////////////////////////////////////////////////////////////
std::cout << GridLogMessage << " Building the solvers"<<std::endl;
RealD mass=0.01;
RealD M5=1.8;
DomainWallFermionR Ddwf(Umu,*FGrid,*FrbGrid,*UGrid,*rbGrid,mass,M5,params);
std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
std::cout << GridLogMessage << " Calling DWF CG "<<std::endl;
std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
MdagMLinearOperator<DomainWallFermionR,FermionField> HermOp(Ddwf);
ConjugateGradient<FermionField> CG((stp),100000);
for(int rhs=0;rhs<1;rhs++){
result[rhs] = zero;
CG(HermOp,src[rhs],result[rhs]);
}
for(int rhs=0;rhs<1;rhs++){
std::cout << " Result["<<rhs<<"] norm = "<<norm2(result[rhs])<<std::endl;
}
/////////////////////////////////////////////////////////////
// Try block CG
/////////////////////////////////////////////////////////////
int blockDim = 0;//not used for BlockCGVec
for(int s=0;s<nrhs;s++){
result[s]=zero;
}
BlockConjugateGradient<FermionField> BCGV (BlockCGrQVec,blockDim,stp,100000);
{
BCGV(HermOp,src,result);
}
for(int rhs=0;rhs<nrhs;rhs++){
std::cout << " Result["<<rhs<<"] norm = "<<norm2(result[rhs])<<std::endl;
}
Grid_finalize();
}

65
tests/solver/Test_staggered_block_cg_prec.cc
View File

@ -67,7 +67,22 @@ int main (int argc, char ** argv)
GridParallelRNG pRNG(UGrid ); pRNG.SeedFixedIntegers(seeds); GridParallelRNG pRNG(UGrid ); pRNG.SeedFixedIntegers(seeds);
GridParallelRNG pRNG5(FGrid); pRNG5.SeedFixedIntegers(seeds); GridParallelRNG pRNG5(FGrid); pRNG5.SeedFixedIntegers(seeds);
FermionField src(FGrid); random(pRNG5,src); FermionField src(FGrid);
FermionField tt(FGrid);
#if 1
random(pRNG5,src);
#else
src=zero;
ComplexField coor(FGrid);
LatticeCoordinate(coor,0);
for(int ss=0;ss<FGrid->oSites();ss++){
src._odata[ss]()()(0)=coor._odata[ss]()()();
}
LatticeCoordinate(coor,1);
for(int ss=0;ss<FGrid->oSites();ss++){
src._odata[ss]()()(0)+=coor._odata[ss]()()();
}
#endif
FermionField src_o(FrbGrid); pickCheckerboard(Odd,src_o,src); FermionField src_o(FrbGrid); pickCheckerboard(Odd,src_o,src);
FermionField result_o(FrbGrid); result_o=zero; FermionField result_o(FrbGrid); result_o=zero;
RealD nrm = norm2(src); RealD nrm = norm2(src);
@ -89,7 +104,8 @@ int main (int argc, char ** argv)
ConjugateGradient<FermionField> CG(1.0e-8,10000); ConjugateGradient<FermionField> CG(1.0e-8,10000);
int blockDim = 0; int blockDim = 0;
BlockConjugateGradient<FermionField> BCGrQ(BlockCGrQ,blockDim,1.0e-8,10000); BlockConjugateGradient<FermionField> BCGrQ(BlockCGrQ,blockDim,1.0e-8,10000);
BlockConjugateGradient<FermionField> BCG (BlockCG,blockDim,1.0e-8,10000); BlockConjugateGradient<FermionField> BCG (BlockCGrQ,blockDim,1.0e-8,10000);
BlockConjugateGradient<FermionField> BCGv (BlockCGrQVec,blockDim,1.0e-8,10000);
BlockConjugateGradient<FermionField> mCG (CGmultiRHS,blockDim,1.0e-8,10000); BlockConjugateGradient<FermionField> mCG (CGmultiRHS,blockDim,1.0e-8,10000);
std::cout << GridLogMessage << "****************************************************************** "<<std::endl; std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
@ -158,7 +174,7 @@ int main (int argc, char ** argv)
std::cout << GridLogMessage << "************************************************************************ "<<std::endl; std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
std::cout << GridLogMessage << "************************************************************************ "<<std::endl; std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
std::cout << GridLogMessage << " Calling Block CG for "<<Ls <<" right hand sides" <<std::endl; std::cout << GridLogMessage << " Calling Block CGrQ for "<<Ls <<" right hand sides" <<std::endl;
std::cout << GridLogMessage << "************************************************************************ "<<std::endl; std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
Ds.ZeroCounters(); Ds.ZeroCounters();
result_o=zero; result_o=zero;
@ -176,6 +192,49 @@ int main (int argc, char ** argv)
Ds.Report(); Ds.Report();
std::cout << GridLogMessage << "************************************************************************ "<<std::endl; std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
std::cout << GridLogMessage << " Calling Block CG for "<<Ls <<" right hand sides" <<std::endl;
std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
Ds.ZeroCounters();
result_o=zero;
{
double t1=usecond();
BCG(HermOp,src_o,result_o);
double t2=usecond();
double ncall=BCGrQ.IterationsToComplete*Ls;
double flops = deodoe_flops * ncall;
std::cout<<GridLogMessage << "usec = "<< (t2-t1)<<std::endl;
std::cout<<GridLogMessage << "flops = "<< flops<<std::endl;
std::cout<<GridLogMessage << "mflop/s = "<< flops/(t2-t1)<<std::endl;
HermOp.Report();
}
Ds.Report();
std::cout << GridLogMessage << "************************************************************************ "<<std::endl;
std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
std::cout << GridLogMessage << " Calling BCGvec "<<std::endl;
std::cout << GridLogMessage << "****************************************************************** "<<std::endl;
std::vector<FermionField> src_v (Ls,UrbGrid);
std::vector<FermionField> result_v(Ls,UrbGrid);
for(int s=0;s<Ls;s++) result_v[s] = zero;
for(int s=0;s<Ls;s++) {
FermionField src4(UGrid);
ExtractSlice(src4,src,s,0);
pickCheckerboard(Odd,src_v[s],src4);
}
{
double t1=usecond();
BCGv(HermOp4d,src_v,result_v);
double t2=usecond();
double ncall=BCGv.IterationsToComplete*Ls;
double flops = deodoe_flops * ncall;
std::cout<<GridLogMessage << "usec = "<< (t2-t1)<<std::endl;
std::cout<<GridLogMessage << "flops = "<< flops<<std::endl;
std::cout<<GridLogMessage << "mflop/s = "<< flops/(t2-t1)<<std::endl;
// HermOp4d.Report();
}
Grid_finalize(); Grid_finalize();
} }