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su3adj.h
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su3adj.h
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/***********************************************************************
* $Id$
*
* Copyright (C) 2001 Martin Hasenbusch
*
* This file is part of tmLQCD.
*
* tmLQCD 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 3 of the License, or
* (at your option) any later version.
*
* tmLQCD 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 tmLQCD. If not, see <http://www.gnu.org/licenses/>.
***********************************************************************/
#ifndef _SU3ADJ_H
#define _SU3ADJ_H
typedef struct
{
double d1,d2,d3,d4,d5,d6,d7,d8;
} su3adj;
/*******************************************************************************
*
* Macros for su3adj
*
* Arguments are variables of type su3
*
*******************************************************************************/
/*
*
* a = p_j * \lambda_j
*
* \lambda_j are the eight
* Gell-Mann matrices
*
*/
#define _make_su3(v,p) \
(v).c00.im= (p).d3+0.5773502691896258*(p).d8; \
(v).c01.im= (p).d1; \
(v).c02.im= (p).d4; \
(v).c10.im= (p).d1; \
(v).c11.im=-(p).d3+0.5773502691896258*(p).d8; \
(v).c12.im= (p).d6; \
(v).c20.im= (p).d4; \
(v).c21.im= (p).d6; \
(v).c22.im=-1.154700538379252*(p).d8; \
(v).c00.re= 0.0; \
(v).c01.re= (p).d2; \
(v).c02.re= (p).d5; \
(v).c10.re=-(p).d2; \
(v).c11.re= 0.0; \
(v).c12.re= (p).d7; \
(v).c20.re=-(p).d5; \
(v).c21.re=-(p).d7; \
(v).c22.re= 0.0;
/*
*
* r_j = Re(tr(a*\lambda_j))
*
* 0.577350269189625 = 1/sqrt(3)
*
* \lambda_j are the eight
* Gell-Mann matrices
*
*/
#define _trace_lambda(r,a) \
(r).d1=-(a).c10.im-(a).c01.im; \
(r).d2=+(a).c10.re-(a).c01.re; \
(r).d3=-(a).c00.im+(a).c11.im; \
(r).d4=-(a).c20.im-(a).c02.im; \
(r).d5=+(a).c20.re-(a).c02.re; \
(r).d6=-(a).c21.im-(a).c12.im; \
(r).d7=+(a).c21.re-(a).c12.re; \
(r).d8=(-(a).c00.im-(a).c11.im + 2.0*a.c22.im)*0.577350269189625;
#define _add_trace_lambda(r,a) \
(r).d1+=-(a).c10.im-(a).c01.im; \
(r).d2+=+(a).c10.re-(a).c01.re; \
(r).d3+=-(a).c00.im+(a).c11.im; \
(r).d4+=-(a).c20.im-(a).c02.im; \
(r).d5+=+(a).c20.re-(a).c02.re; \
(r).d6+=-(a).c21.im-(a).c12.im; \
(r).d7+=+(a).c21.re-(a).c12.re; \
(r).d8+=(-(a).c00.im-(a).c11.im + 2.0*a.c22.im)*0.577350269189625;
#define _mul_add_trace_lambda(r,a,c) \
(r).d1+=c*(-(a).c10.im-(a).c01.im); \
(r).d2+=c*(+(a).c10.re-(a).c01.re); \
(r).d3+=c*(-(a).c00.im+(a).c11.im); \
(r).d4+=c*(-(a).c20.im-(a).c02.im); \
(r).d5+=c*(+(a).c20.re-(a).c02.re); \
(r).d6+=c*(-(a).c21.im-(a).c12.im); \
(r).d7+=c*(+(a).c21.re-(a).c12.re); \
(r).d8+=c*((-(a).c00.im-(a).c11.im + 2.0*a.c22.im)*0.577350269189625);
#define _add_su3adj(r,a) \
(r).d1+=(a).d1; \
(r).d2+=(a).d2; \
(r).d3+=(a).d3; \
(r).d4+=(a).d4; \
(r).d5+=(a).d5; \
(r).d6+=(a).d6; \
(r).d7+=(a).d7; \
(r).d8+=(a).d8;
#define _trace_lambda_add_assign(r,a) \
(r).d1+= (-(a).c10.im-(a).c01.im); \
(r).d2+= (+(a).c10.re-(a).c01.re); \
(r).d3+= (-(a).c00.im+(a).c11.im); \
(r).d4+= (-(a).c20.im-(a).c02.im); \
(r).d5+= (+(a).c20.re-(a).c02.re); \
(r).d6+= (-(a).c21.im-(a).c12.im); \
(r).d7+= (+(a).c21.re-(a).c12.re); \
(r).d8+= ((-(a).c00.im-(a).c11.im + 2.0*a.c22.im)*0.577350269189625);
/*************************************************
*
* Square norm of su3adj
*
* \|X\|^2 = -2tr{X^2}
*
*************************************************/
#define _su3adj_square_norm(r) \
(r).d1*(r).d1 + \
(r).d2*(r).d2 + \
(r).d3*(r).d3 + \
(r).d4*(r).d4 + \
(r).d5*(r).d5 + \
(r).d6*(r).d6 + \
(r).d7*(r).d7 + \
(r).d8*(r).d8;
#define _zero_su3adj(r) \
(r).d1=0.; \
(r).d2=0.; \
(r).d3=0.; \
(r).d4=0.; \
(r).d5=0.; \
(r).d6=0.; \
(r).d7=0.; \
(r).d8=0.;
#if defined SSE2
#define _assign_const_times_mom(res,c,in) \
__asm__ __volatile__ ("movsd %0, %%xmm0 \n\t" \
"unpcklpd %%xmm0, %%xmm0 \n\t" \
"movapd %%xmm0, %%xmm1 \n\t" \
"movapd %%xmm0, %%xmm2 \n\t" \
"movapd %%xmm0, %%xmm3" \
: \
: \
"m" (c)); \
__asm__ __volatile__ ("movapd %0, %%xmm4 \n\t" \
"movapd %1, %%xmm5 \n\t" \
"movapd %2, %%xmm6 \n\t" \
"movapd %3, %%xmm7 \n\t" \
"mulpd %%xmm4, %%xmm0 \n\t" \
"mulpd %%xmm5, %%xmm1 \n\t" \
"mulpd %%xmm6, %%xmm2 \n\t" \
"mulpd %%xmm7, %%xmm3" \
: \
: \
"m" ((in).d1), \
"m" ((in).d3), \
"m" ((in).d5), \
"m" ((in).d7)); \
__asm__ __volatile__ ("movapd %%xmm0, %0 \n\t" \
"movapd %%xmm1, %1 \n\t" \
"movapd %%xmm2, %2 \n\t" \
"movapd %%xmm3, %3" \
: \
"=m" ((res).d1), \
"=m" ((res).d3), \
"=m" ((res).d5), \
"=m" ((res).d7))
#else
#define _assign_const_times_mom(res,c,in) \
(res).d1=(c)*(in).d1; \
(res).d2=(c)*(in).d2; \
(res).d3=(c)*(in).d3; \
(res).d4=(c)*(in).d4; \
(res).d5=(c)*(in).d5; \
(res).d6=(c)*(in).d6; \
(res).d7=(c)*(in).d7; \
(res).d8=(c)*(in).d8;
#endif
#if defined SSE2
#define _minus_const_times_mom(res,c,in) \
__asm__ __volatile__ ("movsd %0, %%xmm0 \n\t" \
"unpcklpd %%xmm0, %%xmm0 \n\t" \
"movapd %%xmm0, %%xmm1 \n\t" \
"movapd %%xmm0, %%xmm2 \n\t" \
"movapd %%xmm0, %%xmm3" \
: \
: \
"m" (c)); \
__asm__ __volatile__ ("movapd %0, %%xmm4 \n\t" \
"movapd %1, %%xmm5 \n\t" \
"movapd %2, %%xmm6 \n\t" \
"movapd %3, %%xmm7 \n\t" \
"mulpd %%xmm4, %%xmm0 \n\t" \
"mulpd %%xmm5, %%xmm1 \n\t" \
"mulpd %%xmm6, %%xmm2 \n\t" \
"mulpd %%xmm7, %%xmm3" \
: \
: \
"m" ((in).d1), \
"m" ((in).d3), \
"m" ((in).d5), \
"m" ((in).d7)); \
__asm__ __volatile__ ("movapd %0, %%xmm4 \n\t" \
"movapd %1, %%xmm5 \n\t" \
"movapd %2, %%xmm6 \n\t" \
"movapd %3, %%xmm7 \n\t" \
"subpd %%xmm0, %%xmm4 \n\t" \
"subpd %%xmm1, %%xmm5 \n\t" \
"subpd %%xmm2, %%xmm6 \n\t" \
"subpd %%xmm3, %%xmm7" \
: \
: \
"m" ((res).d1), \
"m" ((res).d3), \
"m" ((res).d5), \
"m" ((res).d7)); \
__asm__ __volatile__ ("movapd %%xmm4, %0 \n\t" \
"movapd %%xmm5, %1 \n\t" \
"movapd %%xmm6, %2 \n\t" \
"movapd %%xmm7, %3" \
: \
"=m" ((res).d1), \
"=m" ((res).d3), \
"=m" ((res).d5), \
"=m" ((res).d7))
#else
#define _minus_const_times_mom(res,c,in) \
(res).d1-=(c)*(in).d1; \
(res).d2-=(c)*(in).d2; \
(res).d3-=(c)*(in).d3; \
(res).d4-=(c)*(in).d4; \
(res).d5-=(c)*(in).d5; \
(res).d6-=(c)*(in).d6; \
(res).d7-=(c)*(in).d7; \
(res).d8-=(c)*(in).d8;
#endif
#ifdef MAIN_PROGRAM
static char const su3adjrcsid[] = "$Id$";
#endif
#endif