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bicgstab_dd_s.cc
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//****************************************************************************************
//
// Copyright (c) 2015-2020, Yoshifumi Nakamura <[email protected]>
// Copyright (c) 2015-2020, Yuta Mukai <[email protected]>
// Copyright (c) 2018-2020, Ken-Ichi Ishikawa <[email protected]>
// Copyright (c) 2019-2020, Issaku Kanamori <[email protected]>
//
//
// All rights reserved.
//
// Redistribution and use in source and binary forms, with or without
// modification, are permitted provided that the following conditions are
// met:
//
// * Redistributions of source code must retain the above copyright
// notice, this list of conditions and the following disclaimer.
//
// * Redistributions in binary form must reproduce the above copyright
// notice, this list of conditions and the following disclaimer listed
// in this license in the documentation and/or other materials
// provided with the distribution.
//
// * Neither the name of the copyright holders nor the names of its
// contributors may be used to endorse or promote products derived from
// this software without specific prior written permission.
//
// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
//
//----------------------------------------------------------------------------------------
// ACKNOWLEDGMENT
//
// This software has been developed in a co-design working group for the lattice QCD
// supported by MEXT's programs for the Development and Improvement for the Next
// Generation Ultra High-Speed Computer System, under its Subsidies for Operating the
// Specific Advanced Large Research Facilities, and Priority Issue 9
// (Elucidation of the Fundamental Laws and Evolution of the Universe) to be tackled by
// using the Supercomputer Fugaku.
//
//****************************************************************************************
#include "qws.h"
#include "qwsintrin.h"
#include <complex>
#include <math.h>
#ifdef __cplusplus
extern "C"{
#endif
using std::complex;
extern int rank, vols;
extern void ddd_s_(scs_t* out, scs_t* in);
#include "timing.h"
// extern void check_timing_ (const char *);
void bicgstab_dd_s_(scs_t* x, scs_t* b, int* conviter, int* maxiter){
__attribute__((aligned(64))) static scs_t *q, *r, *p , *t, *r0;
if( q==0) q = (scs_t*)malloc( sizeof(scs_t) * vols*2);
if( r==0) r = (scs_t*)malloc( sizeof(scs_t) * vols*2);
if( p==0) p = (scs_t*)malloc( sizeof(scs_t) * vols*2);
if( t==0) t = (scs_t*)malloc( sizeof(scs_t) * vols*2);
if(r0==0) r0= (scs_t*)malloc( sizeof(scs_t) * vols*2);
float bnorm, rnorm, rtmp0, rtmp1, rtmp2, redu[3];
complex< float > rho0, rho, beta, omega, alpha, ctmp;
//rvecs_t rvd0, rvd1, rvd2, rvd3, rvd4, rvd5;
//rvecs_t xr, xi, rr, ri, pr, pi;
float ar, ai, br, bi, cr, ci;
int i, j, iter;
// _DDD_S_TIC_;
ddd_s_(q, x);
// _DDD_S_TOC_;
rtmp0 = 0;
rtmp1 = 0;
#pragma omp parallel for private(i, j) reduction(+:rtmp0, rtmp1)
for(i=0; i<vols*2; i++){
for(j=0; j<24; j++){
for(int v=0; v<VLENS; v++){
r[i].ccs[j].v[v] = b[i].ccs[j].v[v] - q[i].ccs[j].v[v];
p[i].ccs[j].v[v] = r[i].ccs[j].v[v];
r0[i].ccs[j].v[v] = r[i].ccs[j].v[v];
//rvd0 = fmul_s(b[i].ccs[j],b[i].ccs[j]);
//rvd1 = fmul_s(r[i].ccs[j],r[i].ccs[j]);
//rtmp0 += fsum_s(rvd0);
//rtmp1 += fsum_s(rvd1);
rtmp0 += b[i].ccs[j].v[v]*b[i].ccs[j].v[v];
rtmp1 += r[i].ccs[j].v[v]*r[i].ccs[j].v[v];
}
}
}
redu[0] = rtmp0;
redu[1] = rtmp1;
#ifdef _MPI_
MPI_Allreduce(MPI_IN_PLACE,(void *)redu,2,MPI_REAL,MPI_SUM,MPI_COMM_WORLD);
#endif
bnorm= redu[0];
rho0 = complex<float>(redu[1],0);
for (iter=1; iter<(*maxiter);iter++){
_BCG_DDS_ITER_TIC_;
// q = Ap
// _DDD_S_TIC_;
ddd_s_(q, p);
// _DDD_S_TOC_;
// alpha = rho0 / <r0,q>
rtmp0 = 0;
rtmp1 = 0;
#pragma omp parallel for private(i, j) reduction(+:rtmp0, rtmp1)
for(i=0; i<vols*2; i++){
for(j=0; j<12; j++){
for(int v=0; v<VLENS; v++){
//rvd0 = fmadd_s(r0[i].cs[j][0], q[i].cs[j][0], fmul_s(r0[i].cs[j][1], q[i].cs[j][1]));
//rvd1 = fmsub_s(r0[i].cs[j][0], q[i].cs[j][1], fmul_s(r0[i].cs[j][1], q[i].cs[j][0]));
//rtmp0 += fsum_s(rvd0);
//rtmp1 += fsum_s(rvd1);
rtmp0 += r0[i].cs[j][0].v[v] * q[i].cs[j][0].v[v] + r0[i].cs[j][1].v[v] * q[i].cs[j][1].v[v];
rtmp1 += r0[i].cs[j][0].v[v] * q[i].cs[j][1].v[v] - r0[i].cs[j][1].v[v] * q[i].cs[j][0].v[v];
}
}
}
redu[0] = rtmp0;
redu[1] = rtmp1;
#ifdef _MPI_
MPI_Allreduce(MPI_IN_PLACE,(void *)redu,2,MPI_REAL,MPI_SUM,MPI_COMM_WORLD);
#endif
ctmp = complex<float>(redu[0], redu[1]);
alpha = rho0 / ctmp;
// x = x + alpha p
// r = r - alpha q
//rvd0 = fload1_s(alpha.real());
//rvd1 = fload1_s(alpha.imag());
ar=alpha.real();
ai=alpha.imag();
#pragma omp parallel for private(i, j)
for(i=0; i<vols*2; i++){
for(j=0; j<12; j++){
for(int v=0; v<VLENS; v++){
//xr = fcopy_s(x[i].cs[j][0]);
//xi = fcopy_s(x[i].cs[j][1]);
//rr = fcopy_s(r[i].cs[j][0]);
//ri = fcopy_s(r[i].cs[j][1]);
//x[i].cs[j][0] = fmadd_s(rvd0, p[i].cs[j][0], fnmadd_s(rvd1, p[i].cs[j][1], xr));
//x[i].cs[j][1] = fmadd_s(rvd0, p[i].cs[j][1], fmadd_s(rvd1, p[i].cs[j][0], xi));
//r[i].cs[j][0] = fnmadd_s(rvd0, q[i].cs[j][0], fmadd_s(rvd1, q[i].cs[j][1], rr));
//r[i].cs[j][1] = fnmadd_s(rvd0, q[i].cs[j][1], fnmadd_s(rvd1, q[i].cs[j][0], ri));
x[i].cs[j][0].v[v] = x[i].cs[j][0].v[v] + ar * p[i].cs[j][0].v[v] - ai * p[i].cs[j][1].v[v];
x[i].cs[j][1].v[v] = x[i].cs[j][1].v[v] + ar * p[i].cs[j][1].v[v] + ai * p[i].cs[j][0].v[v];
r[i].cs[j][0].v[v] = r[i].cs[j][0].v[v] - ar * q[i].cs[j][0].v[v] + ai * q[i].cs[j][1].v[v];
r[i].cs[j][1].v[v] = r[i].cs[j][1].v[v] - ar * q[i].cs[j][1].v[v] - ai * q[i].cs[j][0].v[v];
}
}
}
// |r|
rtmp0 = 0;
#pragma omp parallel for private(i, j) reduction(+:rtmp0)
for(i=0; i<vols*2; i++){
for(j=0; j<24; j++){
for(int v=0; v<VLENS; v++){
//rvd0 = fmul_s(r[i].ccs[j],r[i].ccs[j]);
//rtmp0 += fsum_s(rvd0);
rtmp0 += r[i].ccs[j].v[v] * r[i].ccs[j].v[v];
}
}
}
redu[0] = rtmp0;
#ifdef _MPI_
MPI_Allreduce(MPI_IN_PLACE,(void *)redu,1,MPI_REAL,MPI_SUM,MPI_COMM_WORLD);
#endif
rnorm = redu[0];
// Check
//if(rank==0)printf("iter = %d, rnorm = %24.14e, sqrt(rnorm/bnorm) = %24.14e\n", iter, rnorm, sqrt(rnorm/bnorm));
if (sqrt(rnorm/bnorm) < 1e-6){
_BCG_DDS_ITER_TOC_;
break;
}
// t = Ar
// _DDD_S_TIC_;
ddd_s_(t, r);
// _DDD_S_TOC_;
// omega = <t,r> / |t|^2
rtmp0 = 0;
rtmp1 = 0;
rtmp2 = 0;
#pragma omp parallel for private(i, j) reduction(+:rtmp0, rtmp1, rtmp2)
for(i=0; i<vols*2; i++){
for(j=0; j<12; j++){
for(int v=0; v<VLENS; v++){
//rvd0 = fmadd_s(t[i].cs[j][0], t[i].cs[j][0], fmul_s(t[i].cs[j][1], t[i].cs[j][1]));
//rvd1 = fmadd_s(t[i].cs[j][0], r[i].cs[j][0], fmul_s(t[i].cs[j][1], r[i].cs[j][1]));
//rvd2 = fmsub_s(t[i].cs[j][0], r[i].cs[j][1], fmul_s(t[i].cs[j][1], r[i].cs[j][0]));
//rtmp0 += fsum_s(rvd0);
//rtmp1 += fsum_s(rvd1);
//rtmp2 += fsum_s(rvd2);
rtmp0 += (t[i].cs[j][0].v[v] * t[i].cs[j][0].v[v] + t[i].cs[j][1].v[v] * t[i].cs[j][1].v[v]);
rtmp1 += (t[i].cs[j][0].v[v] * r[i].cs[j][0].v[v] + t[i].cs[j][1].v[v] * r[i].cs[j][1].v[v]);
rtmp2 += (t[i].cs[j][0].v[v] * r[i].cs[j][1].v[v] - t[i].cs[j][1].v[v] * r[i].cs[j][0].v[v]);
}
}
}
redu[0] = rtmp0;
redu[1] = rtmp1;
redu[2] = rtmp2;
#ifdef _MPI_
MPI_Allreduce(MPI_IN_PLACE,(void *)redu,3,MPI_REAL,MPI_SUM,MPI_COMM_WORLD);
#endif
omega = complex<float>(redu[1]/redu[0], redu[2]/redu[0] );
// x = x + omega r
// r = r - omega t
// rvd0 = fload1_s(omega.real());
// rvd1 = fload1_s(omega.imag());
// //#pragma omp parallel for private(i, j, xr, xi, rr, ri)
// for(i=0; i<vols*2; i++){
// for(j=0; j<12; j++){
// xr = fcopy_s(x[i].cs[j][0]);
// xi = fcopy_s(x[i].cs[j][1]);
// rr = fcopy_s(r[i].cs[j][0]);
// ri = fcopy_s(r[i].cs[j][1]);
// x[i].cs[j][0] = fmadd_s(rvd0, rr, fnmadd_s(rvd1, ri, xr));
// x[i].cs[j][1] = fmadd_s(rvd0, ri, fmadd_s(rvd1, rr, xi));
// r[i].cs[j][0] = fnmadd_s(rvd0, t[i].cs[j][0], fmadd_s(rvd1, t[i].cs[j][1], rr));
// r[i].cs[j][1] = fnmadd_s(rvd0, t[i].cs[j][1], fnmadd_s(rvd1, t[i].cs[j][0], ri));
// }
// }
ar=omega.real();
ai=omega.imag();
#pragma omp parallel for private(i, j)
for(i=0; i<vols*2; i++){
for(j=0; j<12; j++){
for(int v=0; v<VLENS; v++){
x[i].cs[j][0].v[v] = x[i].cs[j][0].v[v] + ar * r[i].cs[j][0].v[v] - ai * r[i].cs[j][1].v[v];
x[i].cs[j][1].v[v] = x[i].cs[j][1].v[v] + ar * r[i].cs[j][1].v[v] + ai * r[i].cs[j][0].v[v];
r[i].cs[j][0].v[v] = r[i].cs[j][0].v[v] - ar * t[i].cs[j][0].v[v] + ai * t[i].cs[j][1].v[v];
r[i].cs[j][1].v[v] = r[i].cs[j][1].v[v] - ar * t[i].cs[j][1].v[v] - ai * t[i].cs[j][0].v[v];
}
}
}
// |r|
rtmp0 = 0;
#pragma omp parallel for private(i, j) reduction(+:rtmp0)
for(i=0; i<vols*2; i++){
for(j=0; j<24; j++){
for(int v=0; v<VLENS; v++){
rtmp0 += r[i].ccs[j].v[v] * r[i].ccs[j].v[v];
}
}
}
redu[0] = rtmp0;
#ifdef _MPI_
MPI_Allreduce(MPI_IN_PLACE,(void *)redu,1,MPI_REAL,MPI_SUM,MPI_COMM_WORLD);
#endif
rnorm = redu[0];
// Check
//if(rank==0)printf("iter = %d, rnorm = %24.14e, sqrt(rnorm/bnorm) = %24.14e\n", iter, rnorm, sqrt(rnorm/bnorm));
if (sqrt(rnorm/bnorm) < 1e-6){
_BCG_DDS_ITER_TOC_;
break;
}
// rho = <r0,r>
rtmp0 = 0;
rtmp1 = 0;
#pragma omp parallel for private(i, j) reduction(+:rtmp0, rtmp1)
for(i=0; i<vols*2; i++){
for(j=0; j<12; j++){
for(int v=0; v<VLENS; v++){
//rvd0 = fmadd_s(r0[i].cs[j][0], r[i].cs[j][0], fmul_s(r0[i].cs[j][1], r[i].cs[j][1]));
//rvd1 = fmsub_s(r0[i].cs[j][0], r[i].cs[j][1], fmul_s(r0[i].cs[j][1], r[i].cs[j][0]));
//rtmp0 += fsum_s(rvd0);
//rtmp1 += fsum_s(rvd1);
rtmp0 += r0[i].cs[j][0].v[v] * r[i].cs[j][0].v[v] + r0[i].cs[j][1].v[v] * r[i].cs[j][1].v[v];
rtmp1 += r0[i].cs[j][0].v[v] * r[i].cs[j][1].v[v] - r0[i].cs[j][1].v[v] * r[i].cs[j][0].v[v];
}
}
}
redu[0] = rtmp0;
redu[1] = rtmp1;
#ifdef _MPI_
MPI_Allreduce(MPI_IN_PLACE,(void *)redu,2,MPI_REAL,MPI_SUM,MPI_COMM_WORLD);
#endif
rho = complex<float>(redu[0],redu[1]);
beta = alpha*rho/( rho0 * omega);
rho0 = rho;
// p = p - omega q
// p = r + beta p
//rvd0 = fload1_s(omega.real());
//rvd1 = fload1_s(omega.imag());
//rvd2 = fload1_s(beta.real());
//rvd3 = fload1_s(beta.imag());
ar = omega.real();
ai = omega.imag();
br = beta.real();
bi = beta.imag();
#pragma omp parallel for private(i, j, cr, ci)
for(i=0; i<vols*2; i++){
for(j=0; j<12; j++){
for(int v=0; v<VLENS; v++){
cr = p[i].cs[j][0].v[v] - ar * q[i].cs[j][0].v[v] + ai * q[i].cs[j][1].v[v];
ci = p[i].cs[j][1].v[v] - ar * q[i].cs[j][1].v[v] - ai * q[i].cs[j][0].v[v];
p[i].cs[j][0].v[v] = br * cr - bi * ci + r[i].cs[j][0].v[v];
p[i].cs[j][1].v[v] = br * ci + bi * cr + r[i].cs[j][1].v[v];
}
}
}
_BCG_DDS_ITER_TOC_;
}//iter
*conviter = iter;
}//bicgstab
#ifdef __cplusplus
}
#endif