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Merge pull request #1 from FelixPGZiegler/feature/eclover
Feature/eclover
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@ -170,8 +170,18 @@ public:
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for (int i=NMAX-1; i>=0; i--)
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ExpClover = ExpClover * Clover + cn[i];
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// prepare inverse
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CloverInv = (-1.0)*Clover;
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Clover = ExpClover * diag_mass;
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CloverInv = adj(ExpClover) * (1.0/diag_mass);
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ExpClover = Zero();
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IdentityTimesC(ExpClover, cn[NMAX]);
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for (int i=NMAX-1; i>=0; i--)
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ExpClover = ExpClover * CloverInv + cn[i];
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CloverInv = ExpClover * (1.0/diag_mass);
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}
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static GaugeLinkField Cmunu(std::vector<GaugeLinkField> &U, GaugeLinkField &lambda, int mu, int nu) {
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@ -222,7 +232,6 @@ public:
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// Compact Exp Clover
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//////////////////////////////////
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template<class Impl>
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class CompactExpCloverHelpers: public CompactWilsonCloverHelpers<Impl> {
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public:
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@ -234,6 +243,7 @@ public:
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template <typename vtype> using iImplClover = iScalar<iMatrix<iMatrix<vtype, Impl::Dimension>, Ns>>;
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typedef CompactWilsonCloverHelpers<Impl> CompactHelpers;
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/*
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static void plusIdentity(const CloverField& in) {
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int DimRep = Impl::Dimension;
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@ -245,6 +255,11 @@ public:
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in_v[ss]()(sa,sa)(ca,ca) += 1.0;
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});
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}
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*/
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static void MassTerm(CloverField& Clover, RealD diag_mass) {
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// do nothing!
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// mass term is multiplied to exp(Clover) below
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}
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static int getNMAX(RealD prec, RealD R) {
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/* compute stop condition for exponential */
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@ -261,40 +276,209 @@ public:
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static int getNMAX(Lattice<iImplCloverDiagonal<vComplexD>> &t, RealD R) {return getNMAX(1e-12,R);}
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static int getNMAX(Lattice<iImplCloverDiagonal<vComplexF>> &t, RealD R) {return getNMAX(1e-6,R);}
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static void MassTerm(CloverField& Clover, RealD diag_mass) {
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// csw/(diag_mass) * clover
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Clover = Clover * (1.0/diag_mass);
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}
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static void ExponentiateHermitean6by6(const iMatrix<ComplexD,6> &arg, const RealD& alpha, const std::vector<RealD>& cN, const int Niter, iMatrix<ComplexD,6>& dest){
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typedef iMatrix<ComplexD,6> mat;
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RealD qn[6];
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RealD qnold[6];
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RealD p[5];
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RealD trA2, trA3, trA4;
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mat A2, A3, A4, A5;
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A2 = alpha * alpha * arg * arg;
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A3 = alpha * arg * A2;
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A4 = A2 * A2;
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A5 = A2 * A3;
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trA2 = toReal( trace(A2) );
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trA3 = toReal( trace(A3) );
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trA4 = toReal( trace(A4));
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p[0] = toReal( trace(A3 * A3)) / 6.0 - 0.125 * trA4 * trA2 - trA3 * trA3 / 18.0 + trA2 * trA2 * trA2/ 48.0;
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p[1] = toReal( trace(A5)) / 5.0 - trA3 * trA2 / 6.0;
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p[2] = toReal( trace(A4)) / 4.0 - 0.125 * trA2 * trA2;
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p[3] = trA3 / 3.0;
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p[4] = 0.5 * trA2;
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qnold[0] = cN[Niter];
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qnold[1] = 0.0;
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qnold[2] = 0.0;
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qnold[3] = 0.0;
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qnold[4] = 0.0;
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qnold[5] = 0.0;
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for(int i = Niter-1; i >= 0; i--)
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{
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qn[0] = p[0] * qnold[5] + cN[i];
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qn[1] = p[1] * qnold[5] + qnold[0];
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qn[2] = p[2] * qnold[5] + qnold[1];
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qn[3] = p[3] * qnold[5] + qnold[2];
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qn[4] = p[4] * qnold[5] + qnold[3];
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qn[5] = qnold[4];
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qnold[0] = qn[0];
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qnold[1] = qn[1];
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qnold[2] = qn[2];
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qnold[3] = qn[3];
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qnold[4] = qn[4];
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qnold[5] = qn[5];
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}
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mat unit(1.0);
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dest = (qn[0] * unit + qn[1] * alpha * arg + qn[2] * A2 + qn[3] * A3 + qn[4] * A4 + qn[5] * A5);
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}
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static void Instantiate(CloverDiagonalField& Diagonal, CloverTriangleField& Triangle,
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CloverDiagonalField& DiagonalInv, CloverTriangleField& TriangleInv,
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RealD csw_t, RealD diag_mass) {
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GridBase* grid = Diagonal.Grid();
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int NMAX = getNMAX(Diagonal, 3.*csw_t/diag_mass);
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// To be optimized: implement exp in improved layout
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// START: code to be replaced
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CloverField Clover(grid), ExpClover(grid);
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//
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// Implementation completely in Daniel's layout
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//
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CompactHelpers::ConvertLayout(Diagonal, Triangle, Clover);
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ExpClover = Clover;
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plusIdentity(ExpClover); // 1 + Clover
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RealD pref = 1.0;
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for (int i=2; i<=NMAX; i++) {
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Clover = Clover * Clover;
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pref /= (RealD)(i);
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ExpClover += pref * Clover;
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// Taylor expansion with Cayley-Hamilton recursion
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// underlying Horner scheme as above
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std::vector<RealD> cn(NMAX+1);
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cn[0] = 1.0;
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for (int i=1; i<=NMAX; i++){
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cn[i] = cn[i-1] / RealD(i);
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}
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// Convert the data layout of the clover terms
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CompactHelpers::ConvertLayout(ExpClover, Diagonal, Triangle);
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CompactHelpers::ConvertLayout(adj(ExpClover), DiagonalInv, TriangleInv);
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// END: code to be replaced
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// Taken over from Daniel's implementation
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conformable(Diagonal, Triangle);
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long lsites = grid->lSites();
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typedef typename SiteCloverDiagonal::scalar_object scalar_object_diagonal;
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typedef typename SiteCloverTriangle::scalar_object scalar_object_triangle;
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typedef iMatrix<ComplexD,6> mat;
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autoView(diagonal_v, Diagonal, CpuRead);
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autoView(triangle_v, Triangle, CpuRead);
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autoView(diagonalExp_v, Diagonal, CpuWrite);
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autoView(triangleExp_v, Triangle, CpuWrite);
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autoView(diagonalExpInv_v, DiagonalInv, CpuWrite);
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autoView(triangleExpInv_v, TriangleInv, CpuWrite);
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thread_for(site, lsites, { // NOTE: Not on GPU because of (peek/poke)LocalSite
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mat srcCloverOpUL(0.0); // upper left block
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mat srcCloverOpLR(0.0); // lower right block
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mat ExpCloverOp;
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scalar_object_diagonal diagonal_tmp = Zero();
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scalar_object_diagonal diagonal_exp_tmp = Zero();
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scalar_object_triangle triangle_tmp = Zero();
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scalar_object_triangle triangle_exp_tmp = Zero();
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Coordinate lcoor;
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grid->LocalIndexToLocalCoor(site, lcoor);
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peekLocalSite(diagonal_tmp, diagonal_v, lcoor);
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peekLocalSite(triangle_tmp, triangle_v, lcoor);
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// block = 0
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int block;
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block = 0;
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for(int i = 0; i < 6; i++){
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for(int j = 0; j < 6; j++){
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if (i == j){
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srcCloverOpUL(i,j) = static_cast<ComplexD>(TensorRemove(diagonal_tmp()(block)(i)));
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}
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else{
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srcCloverOpUL(i,j) = static_cast<ComplexD>(TensorRemove(CompactHelpers::triangle_elem(triangle_tmp, block, i, j)));
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}
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}
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}
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// block = 1
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block = 1;
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for(int i = 0; i < 6; i++){
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for(int j = 0; j < 6; j++){
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if (i == j){
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srcCloverOpLR(i,j) = static_cast<ComplexD>(TensorRemove(diagonal_tmp()(block)(i)));
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}
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else{
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srcCloverOpLR(i,j) = static_cast<ComplexD>(TensorRemove(CompactHelpers::triangle_elem(triangle_tmp, block, i, j)));
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}
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}
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}
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// exp(Clover)
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ExponentiateHermitean6by6(srcCloverOpUL,1.0/diag_mass,cn,NMAX,ExpCloverOp);
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block = 0;
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for(int i = 0; i < 6; i++){
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for(int j = 0; j < 6; j++){
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if (i == j){
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diagonal_exp_tmp()(block)(i) = ExpCloverOp(i,j);
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}
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else if(i < j){
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triangle_exp_tmp()(block)(CompactHelpers::triangle_index(i, j)) = ExpCloverOp(i,j);
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}
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}
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}
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ExponentiateHermitean6by6(srcCloverOpLR,1.0/diag_mass,cn,NMAX,ExpCloverOp);
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block = 1;
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for(int i = 0; i < 6; i++){
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for(int j = 0; j < 6; j++){
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if (i == j){
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diagonal_exp_tmp()(block)(i) = ExpCloverOp(i,j);
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}
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else if(i < j){
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triangle_exp_tmp()(block)(CompactHelpers::triangle_index(i, j)) = ExpCloverOp(i,j);
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}
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}
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}
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pokeLocalSite(diagonal_exp_tmp, diagonalExp_v, lcoor);
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pokeLocalSite(triangle_exp_tmp, triangleExp_v, lcoor);
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// inverse exp(-Clover)
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ExponentiateHermitean6by6(srcCloverOpUL,-1.0/diag_mass,cn,NMAX,ExpCloverOp);
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block = 0;
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for(int i = 0; i < 6; i++){
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for(int j = 0; j < 6; j++){
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if (i == j){
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diagonal_exp_tmp()(block)(i) = ExpCloverOp(i,j);
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}
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else if(i < j){
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triangle_exp_tmp()(block)(CompactHelpers::triangle_index(i, j)) = ExpCloverOp(i,j);
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}
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}
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}
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ExponentiateHermitean6by6(srcCloverOpLR,-1.0/diag_mass,cn,NMAX,ExpCloverOp);
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block = 1;
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for(int i = 0; i < 6; i++){
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for(int j = 0; j < 6; j++){
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if (i == j){
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diagonal_exp_tmp()(block)(i) = ExpCloverOp(i,j);
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}
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else if(i < j){
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triangle_exp_tmp()(block)(CompactHelpers::triangle_index(i, j)) = ExpCloverOp(i,j);
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}
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}
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}
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pokeLocalSite(diagonal_exp_tmp, diagonalExpInv_v, lcoor);
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pokeLocalSite(triangle_exp_tmp, triangleExpInv_v, lcoor);
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});
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Diagonal = Diagonal * diag_mass;
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Triangle = Triangle * diag_mass;
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DiagonalInv = DiagonalInv*(1.0/diag_mass);
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TriangleInv = TriangleInv*(1.0/diag_mass);
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}
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1
systems/mac-arm/config-command-mpi
Normal file
1
systems/mac-arm/config-command-mpi
Normal file
@ -0,0 +1 @@
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CXX=mpicxx-openmpi-mp CXXFLAGS=-I/opt/local/include/ LDFLAGS=-L/opt/local/lib/ ../../configure --enable-simd=GEN --enable-debug --enable-comms=mpi
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