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311 lines
10 KiB
C++
311 lines
10 KiB
C++
#include <Grid.h>
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namespace Grid {
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namespace QCD {
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void PartialFractionFermion5D::Meooe_internal(const LatticeFermion &psi, LatticeFermion &chi,int dag)
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{
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// this does both dag and undag but is trivial; make a common helper routing
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int sign = dag ? (-1) : 1;
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if ( psi.checkerboard == Odd ) {
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DhopEO(psi,chi,DaggerNo);
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} else {
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DhopOE(psi,chi,DaggerNo);
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}
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int nblock=(Ls-1)/2;
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for(int b=0;b<nblock;b++){
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int s = 2*b;
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ag5xpby_ssp(chi,-scale,chi,0.0,chi,s,s);
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ag5xpby_ssp(chi, scale,chi,0.0,chi,s+1,s+1);
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}
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ag5xpby_ssp(chi,p[nblock]*scale/amax,chi,0.0,chi,Ls-1,Ls-1);
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}
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void PartialFractionFermion5D::Mooee_internal(const LatticeFermion &psi, LatticeFermion &chi,int dag)
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{
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// again dag and undag are trivially related
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int sign = dag ? (-1) : 1;
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int nblock=(Ls-1)/2;
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for(int b=0;b<nblock;b++){
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int s = 2*b;
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RealD pp = p[nblock-1-b];
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RealD qq = q[nblock-1-b];
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// Do each 2x2 block aligned at s and multiplies Dw site diagonal by G5 so Hw
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ag5xpby_ssp(chi,-dw_diag*scale,psi,amax*sqrt(qq)*scale,psi, s ,s+1);
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ag5xpby_ssp(chi, dw_diag*scale,psi,amax*sqrt(qq)*scale,psi, s+1,s);
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axpby_ssp (chi, 1.0, chi,sqrt(amax*pp)*scale*sign,psi,s+1,Ls-1);
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}
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{
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RealD R=(1+mass)/(1-mass);
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//R g5 psi[Ls-1] + p[0] H
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ag5xpbg5y_ssp(chi,R*scale,psi,p[nblock]*scale*dw_diag/amax,psi,Ls-1,Ls-1);
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for(int b=0;b<nblock;b++){
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int s = 2*b+1;
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RealD pp = p[nblock-1-b];
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axpby_ssp(chi,1.0,chi,-sqrt(amax*pp)*scale*sign,psi,Ls-1,s);
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}
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}
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}
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void PartialFractionFermion5D::MooeeInv_internal(const LatticeFermion &psi, LatticeFermion &chi,int dag)
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{
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int sign = dag ? (-1) : 1;
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LatticeFermion tmp(psi._grid);
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///////////////////////////////////////////////////////////////////////////////////////
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//Linv
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///////////////////////////////////////////////////////////////////////////////////////
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int nblock=(Ls-1)/2;
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axpy(chi,0.0,psi,psi); // Identity piece
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for(int b=0;b<nblock;b++){
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int s = 2*b;
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RealD pp = p[nblock-1-b];
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RealD qq = q[nblock-1-b];
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RealD coeff1=sign*sqrt(amax*amax*amax*pp*qq) / ( dw_diag*dw_diag + amax*amax* qq);
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RealD coeff2=sign*sqrt(amax*pp)*dw_diag / ( dw_diag*dw_diag + amax*amax* qq); // Implicit g5 here
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axpby_ssp (chi,1.0,chi,coeff1,psi,Ls-1,s);
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axpbg5y_ssp(chi,1.0,chi,coeff2,psi,Ls-1,s+1);
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}
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///////////////////////////////////////////////////////////////////////////////////////
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//Dinv (note D isn't really diagonal -- just diagonal enough that we can still invert)
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// Compute Seeinv (coeff of gamma5)
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///////////////////////////////////////////////////////////////////////////////////////
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RealD R=(1+mass)/(1-mass);
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RealD Seeinv = R + p[nblock]*dw_diag/amax;
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for(int b=0;b<nblock;b++){
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Seeinv += p[nblock-1-b]*dw_diag/amax / ( dw_diag*dw_diag/amax/amax + q[nblock-1-b]);
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}
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Seeinv = 1.0/Seeinv;
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for(int b=0;b<nblock;b++){
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int s = 2*b;
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RealD pp = p[nblock-1-b];
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RealD qq = q[nblock-1-b];
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RealD coeff1=dw_diag / ( dw_diag*dw_diag + amax*amax* qq); // Implicit g5 here
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RealD coeff2=amax*sqrt(qq) / ( dw_diag*dw_diag + amax*amax* qq);
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ag5xpby_ssp (tmp,-coeff1,chi,coeff2,chi,s,s+1);
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ag5xpby_ssp (tmp, coeff1,chi,coeff2,chi,s+1,s);
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}
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ag5xpby_ssp (tmp, Seeinv,chi,0.0,chi,Ls-1,Ls-1);
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///////////////////////////////////////////////////////////////////////////////////////
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// Uinv
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///////////////////////////////////////////////////////////////////////////////////////
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for(int b=0;b<nblock;b++){
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int s = 2*b;
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RealD pp = p[nblock-1-b];
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RealD qq = q[nblock-1-b];
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RealD coeff1=-sign*sqrt(amax*amax*amax*pp*qq) / ( dw_diag*dw_diag + amax*amax* qq);
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RealD coeff2=-sign*sqrt(amax*pp)*dw_diag / ( dw_diag*dw_diag + amax*amax* qq); // Implicit g5 here
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axpby_ssp (chi,1.0/scale,tmp,coeff1/scale,tmp,s,Ls-1);
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axpbg5y_ssp(chi,1.0/scale,tmp,coeff2/scale,tmp,s+1,Ls-1);
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}
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axpby_ssp (chi, 1.0/scale,tmp,0.0,tmp,Ls-1,Ls-1);
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}
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void PartialFractionFermion5D::M_internal(const LatticeFermion &psi, LatticeFermion &chi,int dag)
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{
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LatticeFermion D(psi._grid);
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int sign = dag ? (-1) : 1;
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// For partial frac Hw case (b5=c5=1) chroma quirkily computes
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//
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// Conventions for partfrac appear to be a mess.
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// Tony's Nara lectures have
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//
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// BlockDiag( H/p_i 1 | 1 )
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// ( 1 p_i H / q_i^2 | 0 )
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// ---------------------------------
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// ( -1 0 | R +p0 H )
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//
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//Chroma ( -2H 2sqrt(q_i) | 0 )
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// (2 sqrt(q_i) 2H | 2 sqrt(p_i) )
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// ---------------------------------
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// ( 0 -2 sqrt(p_i) | 2 R gamma_5 + p0 2H
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//
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// Edwards/Joo/Kennedy/Wenger
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//
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// Here, the "beta's" selected by chroma to scale the unphysical bulk constraint fields
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// incorporate the approx scale factor. This is obtained by propagating the
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// scale on "H" out to the off diagonal elements as follows:
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//
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// BlockDiag( H/p_i 1 | 1 )
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// ( 1 p_i H / q_i^2 | 0 )
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// ---------------------------------
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// ( -1 0 | R + p_0 H )
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//
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// becomes:
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// BlockDiag( H/ sp_i 1 | 1 )
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// ( 1 sp_i H / s^2q_i^2 | 0 )
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// ---------------------------------
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// ( -1 0 | R + p_0/s H )
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//
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//
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// This is implemented in Chroma by
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// p0' = p0/approxMax
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// p_i' = p_i*approxMax
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// q_i' = q_i*approxMax*approxMax
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//
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// After the equivalence transform is applied the matrix becomes
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//
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//Chroma ( -2H sqrt(q'_i) | 0 )
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// (sqrt(q'_i) 2H | sqrt(p'_i) )
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// ---------------------------------
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// ( 0 -sqrt(p'_i) | 2 R gamma_5 + p'0 2H
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//
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// = ( -2H sqrt(q_i)amax | 0 )
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// (sqrt(q_i)amax 2H | sqrt(p_i*amax) )
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// ---------------------------------
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// ( 0 -sqrt(p_i)*amax | 2 R gamma_5 + p0/amax 2H
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//
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DW(psi,D,DaggerNo);
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int nblock=(Ls-1)/2;
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for(int b=0;b<nblock;b++){
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int s = 2*b;
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double pp = p[nblock-1-b];
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double qq = q[nblock-1-b];
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// Do each 2x2 block aligned at s and
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ag5xpby_ssp(chi,-1.0*scale,D,amax*sqrt(qq)*scale,psi, s ,s+1); // Multiplies Dw by G5 so Hw
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ag5xpby_ssp(chi, 1.0*scale,D,amax*sqrt(qq)*scale,psi, s+1,s);
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// Pick up last column
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axpby_ssp (chi, 1.0, chi,sqrt(amax*pp)*scale*sign,psi,s+1,Ls-1);
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}
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{
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double R=(1+this->mass)/(1-this->mass);
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//R g5 psi[Ls] + p[0] H
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ag5xpbg5y_ssp(chi,R*scale,psi,p[nblock]*scale/amax,D,Ls-1,Ls-1);
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for(int b=0;b<nblock;b++){
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int s = 2*b+1;
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double pp = p[nblock-1-b];
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axpby_ssp(chi,1.0,chi,-sqrt(amax*pp)*scale*sign,psi,Ls-1,s);
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}
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}
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}
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RealD PartialFractionFermion5D::M (const LatticeFermion &in, LatticeFermion &out)
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{
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M_internal(in,out,DaggerNo);
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return norm2(out);
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}
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RealD PartialFractionFermion5D::Mdag (const LatticeFermion &in, LatticeFermion &out)
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{
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M_internal(in,out,DaggerYes);
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return norm2(out);
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}
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void PartialFractionFermion5D::Meooe (const LatticeFermion &in, LatticeFermion &out)
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{
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Meooe_internal(in,out,DaggerNo);
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}
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void PartialFractionFermion5D::MeooeDag (const LatticeFermion &in, LatticeFermion &out)
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{
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Meooe_internal(in,out,DaggerYes);
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}
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void PartialFractionFermion5D::Mooee (const LatticeFermion &in, LatticeFermion &out)
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{
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Mooee_internal(in,out,DaggerNo);
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}
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void PartialFractionFermion5D::MooeeDag (const LatticeFermion &in, LatticeFermion &out)
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{
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Mooee_internal(in,out,DaggerYes);
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}
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void PartialFractionFermion5D::MooeeInv (const LatticeFermion &in, LatticeFermion &out)
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{
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MooeeInv_internal(in,out,DaggerNo);
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}
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void PartialFractionFermion5D::MooeeInvDag (const LatticeFermion &in, LatticeFermion &out)
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{
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MooeeInv_internal(in,out,DaggerYes);
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}
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void PartialFractionFermion5D::SetCoefficientsTanh(Approx::zolotarev_data *zdata,RealD scale){
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SetCoefficientsZolotarev(1.0/scale,zdata);
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}
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void PartialFractionFermion5D::SetCoefficientsZolotarev(RealD zolo_hi,Approx::zolotarev_data *zdata){
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// check on degree matching
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// std::cout << Ls << " Ls"<<std::endl;
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// std::cout << zdata->n << " - n"<<std::endl;
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// std::cout << zdata->da << " -da "<<std::endl;
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// std::cout << zdata->db << " -db"<<std::endl;
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// std::cout << zdata->dn << " -dn"<<std::endl;
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// std::cout << zdata->dd << " -dd"<<std::endl;
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assert(Ls == (2*zdata->da -1) );
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// Part frac
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// RealD R;
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R=(1+mass)/(1-mass);
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dw_diag = (4.0-M5);
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// std::vector<RealD> p;
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// std::vector<RealD> q;
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p.resize(zdata->da);
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q.resize(zdata->dd);
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for(int n=0;n<zdata->da;n++){
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p[n] = zdata -> alpha[n];
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}
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for(int n=0;n<zdata->dd;n++){
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q[n] = -zdata -> ap[n];
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}
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scale= part_frac_chroma_convention ? 2.0 : 1.0; // Chroma conventions annoy me
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amax=zolo_hi;
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}
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// Constructors
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PartialFractionFermion5D::PartialFractionFermion5D(LatticeGaugeField &_Umu,
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GridCartesian &FiveDimGrid,
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GridRedBlackCartesian &FiveDimRedBlackGrid,
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GridCartesian &FourDimGrid,
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GridRedBlackCartesian &FourDimRedBlackGrid,
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RealD _mass,RealD M5) :
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WilsonFermion5D(_Umu,
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FiveDimGrid, FiveDimRedBlackGrid,
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FourDimGrid, FourDimRedBlackGrid,M5),
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mass(_mass)
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{
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assert((Ls&0x1)==1); // Odd Ls required
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int nrational=Ls-1;
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Approx::zolotarev_data *zdata = Approx::higham(1.0,nrational);
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// NB: chroma uses a cast to "float" for the zolotarev range(!?).
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// this creates a real difference in the operator which I do not like but we can replicate here
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// to demonstrate compatibility
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// RealD eps = (zolo_lo / zolo_hi);
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// zdata = bfm_zolotarev(eps,nrational,0);
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SetCoefficientsTanh(zdata,1.0);
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Approx::zolotarev_free(zdata);
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}
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}
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}
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