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su3.h
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su3.h
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/***********************************************************************
* Copyright (C) 2002,2003,2004,2005,2006,2007,2008 Carsten Urbach
*
* 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/>.
***********************************************************************/
/* $Id: su3.h,v 1.27 2009/02/16 16:52:03 urbach Exp $ */
#ifndef _SU3_H
#define _SU3_H
/*******************************************************************************
*
* File su3.h
*
* Type definitions and macros for SU(3) matrices and spinors
*
* Version: 1.0
* Author: Martin Luescher <luscher@mail.desy.de>
* Date: 24.10.2000
*
* Extended by Martin Hasenbusch 2001. <Martin.Hasenbusch@desy.de>
*
*
*******************************************************************************/
#ifdef _STD_C99_COMPLEX_CHECKED
#include <complex.h>
#else
#include "complex.h"
#endif
#if (defined XLC && defined BGL)
# include "bgl.h"
#endif
typedef struct
{
complex c00,c01,c02,c10,c11,c12,c20,c21,c22;
} su3;
typedef struct
{
complex c0,c1,c2;
} su3_vector;
typedef struct
{
complex32 c0,c1,c2;
} su3_vector32;
typedef struct
{
su3_vector s0,s1,s2,s3;
} spinor;
typedef struct
{
su3_vector s0, s1;
} halfspinor;
typedef struct
{
su3_vector32 s0, s1;
} halfspinor32;
typedef struct
{
spinor sp_up,sp_dn;
} bispinor;
/*******************************************************************************
*
* Macros for SU(3) vectors
*
* Arguments are variables of type su3_vector (or su3 in the case of the
* matrix times vector multiplication macros)
*
*******************************************************************************/
/* M. Hasenbusch Mon Sep 24
* r.c1=0
* r.c2=0
* r.c3=0
*/
#ifdef _STD_C99_COMPLEX
#define _vector_null(r) \
(r).c0 = 0.; \
(r).c1 = 0.; \
(r).c2 = 0.;
#else
#define _vector_null(r) \
(r).c0.re=0.0; \
(r).c0.im=0.0; \
(r).c1.re=0.0; \
(r).c1.im=0.0; \
(r).c2.re=0.0; \
(r).c2.im=0.0;
#endif
/* M. Hasenbusch Mon Sep 24
* r.c1=s.c1
* r.c2=s.c2
* r.c3=s.c3
*/
#ifdef _STD_C99_COMPLEX_CHECKED
#define _vector_assign(r,s) \
(r).c0 = (s).c0; \
(r).c1 = (s).c1; \
(r).c2 = (s).c2;
#else
#define _vector_assign(r,s) \
(r).c0.re=(s).c0.re; \
(r).c0.im=(s).c0.im; \
(r).c1.re=(s).c1.re; \
(r).c1.im=(s).c1.im; \
(r).c2.re=(s).c2.re; \
(r).c2.im=(s).c2.im;
#endif
#define _vector_assign32(r,s) \
(r).c0.re= (double) (s).c0.re; \
(r).c0.im= (double) (s).c0.im; \
(r).c1.re= (double) (s).c1.re; \
(r).c1.im= (double) (s).c1.im; \
(r).c2.re= (double) (s).c2.re; \
(r).c2.im= (double) (s).c2.im;
/* M. Hasenbusch Mon Sep 24
* r.c1=-s.c1
* r.c2=-s.c2
* r.c3=-s.c3
*/
#ifdef _STD_C99_COMPLEX
#define _vector_minus_assign(r,s) \
(r).c0 = -(s).c0; \
(r).c1 = -(s).c1; \
(r).c2 = -(s).c2;
#else
#define _vector_minus_assign(r,s) \
(r).c0.re=-(s).c0.re; \
(r).c0.im=-(s).c0.im; \
(r).c1.re=-(s).c1.re; \
(r).c1.im=-(s).c1.im; \
(r).c2.re=-(s).c2.re; \
(r).c2.im=-(s).c2.im;
#endif
/*
* r.c1=c*s.c1 (c real)
* r.c2=c*s.c2
* r.c3=c*s.c3
*/
#ifdef _STD_C99_COMPLEX_CHECKED
#define _vector_mul(r,c,s) \
(r).c0 = (c)*(s).c0; \
(r).c1 = (c)*(s).c1; \
(r).c2 = (c)*(s).c2;
#else
#define _vector_mul(r,c,s) \
(r).c0.re=(c)*(s).c0.re; \
(r).c0.im=(c)*(s).c0.im; \
(r).c1.re=(c)*(s).c1.re; \
(r).c1.im=(c)*(s).c1.im; \
(r).c2.re=(c)*(s).c2.re; \
(r).c2.im=(c)*(s).c2.im;
#endif
#ifdef _STD_C99_COMPLEX
#define _vector_add_mul(r,c,s) \
(r).c0 += ((c)*(s).c0); \
(r).c1 += ((c)*(s).c1); \
(r).c2 += ((c)*(s).c2);
#elif defined XLC3
#define _vector_add_mul(r,c,s) \
(r).c0 = __fmadd(c, (s).c0, (r).c0); \
(r).c1 = __fmadd(c, (s).c1, (r).c1); \
(r).c2 = __fmadd(c, (s).c2, (r).c2);
#else
#define _vector_add_mul(r,c,s) \
(r).c0.re+=(c)*(s).c0.re; \
(r).c0.im+=(c)*(s).c0.im; \
(r).c1.re+=(c)*(s).c1.re; \
(r).c1.im+=(c)*(s).c1.im; \
(r).c2.re+=(c)*(s).c2.re; \
(r).c2.im+=(c)*(s).c2.im;
#endif
/*
* r.c1=s1.c1+s2.c1
* r.c2=s1.c2+s2.c2
* r.c3=s1.c3+s2.c3
*/
#if ((defined SSE2)||(defined SSE3))
#define _vector_add(r,s1,s2) \
_sse_load(s1); \
_sse_load_up(s2); \
_sse_vector_add(); \
_sse_store(r);
#define _vector_sub(r,s1,s2) \
_sse_load(s1); \
_sse_load_up(s2); \
_sse_vector_sub(); \
_sse_store(r);
#elif (defined XLC && defined BGLNOTCHECKED)
#define _vector_add(r,s1,s2) \
_bgl_load(s1); \
_bgl_load_up(s2); \
_bgl_vector_add(); \
_bgl_store(r);
#define _vector_sub(r,s1,s2) \
_bgl_load(s1); \
_bgl_load_up(s2); \
_bgl_vector_sub(); \
_bgl_store(r);
#elif defined _STD_C99_COMPLEX_CHECKED
#define _vector_add(r,s1,s2) \
(r).c0 = (s1).c0 + (s2).c0; \
(r).c1 = (s1).c1 + (s2).c1; \
(r).c2 = (s1).c2 + (s2).c2;
#define _vector_sub(r,s1,s2) \
(r).c0 = (s1).c0 - (s2).c0; \
(r).c1 = (s1).c1 - (s2).c1; \
(r).c2 = (s1).c2 - (s2).c2;
#else
#define _vector_add(r,s1,s2) \
(r).c0.re=(s1).c0.re+(s2).c0.re; \
(r).c0.im=(s1).c0.im+(s2).c0.im; \
(r).c1.re=(s1).c1.re+(s2).c1.re; \
(r).c1.im=(s1).c1.im+(s2).c1.im; \
(r).c2.re=(s1).c2.re+(s2).c2.re; \
(r).c2.im=(s1).c2.im+(s2).c2.im;
/*
* r.c1=s1.c1-s2.c1
* r.c2=s1.c2-s2.c2
* r.c3=s1.c3-s2.c3
*/
#define _vector_sub(r,s1,s2) \
(r).c0.re=(s1).c0.re-(s2).c0.re; \
(r).c0.im=(s1).c0.im-(s2).c0.im; \
(r).c1.re=(s1).c1.re-(s2).c1.re; \
(r).c1.im=(s1).c1.im-(s2).c1.im; \
(r).c2.re=(s1).c2.re-(s2).c2.re; \
(r).c2.im=(s1).c2.im-(s2).c2.im;
#endif
#define _vector_add32(r,s1,s2) \
(r).c0.re= (float) (s1).c0.re+(s2).c0.re; \
(r).c0.im= (float) (s1).c0.im+(s2).c0.im; \
(r).c1.re= (float) (s1).c1.re+(s2).c1.re; \
(r).c1.im= (float) (s1).c1.im+(s2).c1.im; \
(r).c2.re= (float) (s1).c2.re+(s2).c2.re; \
(r).c2.im= (float) (s1).c2.im+(s2).c2.im;
/*
* r.c1=s1.c1-s2.c1
* r.c2=s1.c2-s2.c2
* r.c3=s1.c3-s2.c3
*/
#define _vector_sub32(r,s1,s2) \
(r).c0.re= (float) (s1).c0.re-(s2).c0.re; \
(r).c0.im= (float) (s1).c0.im-(s2).c0.im; \
(r).c1.re= (float) (s1).c1.re-(s2).c1.re; \
(r).c1.im= (float) (s1).c1.im-(s2).c1.im; \
(r).c2.re= (float) (s1).c2.re-(s2).c2.re; \
(r).c2.im= (float) (s1).c2.im-(s2).c2.im;
/*
* r.c1=s1.c1+i*s2.c1
* r.c2=s1.c2+i*s2.c2
* r.c3=s1.c3+i*s2.c3
*/
#ifdef _STD_C99_COMPLEX_CHECKED
#define _vector_i_add(r,s1,s2) \
(r).c0 = (s1).c0 + I*(s2).c0; \
(r).c1 = (s1).c1 + I*(s2).c1; \
(r).c2 = (s1).c2 + I*(s2).c2;
#else
#define _vector_i_add(r,s1,s2) \
(r).c0.re=(s1).c0.re-(s2).c0.im; \
(r).c0.im=(s1).c0.im+(s2).c0.re; \
(r).c1.re=(s1).c1.re-(s2).c1.im; \
(r).c1.im=(s1).c1.im+(s2).c1.re; \
(r).c2.re=(s1).c2.re-(s2).c2.im; \
(r).c2.im=(s1).c2.im+(s2).c2.re;
#endif
#define _vector_i_add32(r,s1,s2) \
(r).c0.re= (float) (s1).c0.re-(s2).c0.im; \
(r).c0.im= (float) (s1).c0.im+(s2).c0.re; \
(r).c1.re= (float) (s1).c1.re-(s2).c1.im; \
(r).c1.im= (float) (s1).c1.im+(s2).c1.re; \
(r).c2.re= (float) (s1).c2.re-(s2).c2.im; \
(r).c2.im= (float) (s1).c2.im+(s2).c2.re;
/*
* r.c1=s1.c1-i*s2.c1
* r.c2=s1.c2-i*s2.c2
* r.c3=s1.c3-i*s2.c3
*/
#ifdef _STD_C99_COMPLEX_CHECKED
#define _vector_i_sub(r,s1,s2) \
(r).c0 = (s1).c0 - I*(s2).c0; \
(r).c1 = (s1).c1 - I*(s2).c1; \
(r).c2 = (s1).c2 - I*(s2).c2;
#else
#define _vector_i_sub(r,s1,s2) \
(r).c0.re=(s1).c0.re+(s2).c0.im; \
(r).c0.im=(s1).c0.im-(s2).c0.re; \
(r).c1.re=(s1).c1.re+(s2).c1.im; \
(r).c1.im=(s1).c1.im-(s2).c1.re; \
(r).c2.re=(s1).c2.re+(s2).c2.im; \
(r).c2.im=(s1).c2.im-(s2).c2.re;
#endif
#define _vector_i_sub32(r,s1,s2) \
(r).c0.re= (float) (s1).c0.re+(s2).c0.im; \
(r).c0.im= (float) (s1).c0.im-(s2).c0.re; \
(r).c1.re= (float) (s1).c1.re+(s2).c1.im; \
(r).c1.im= (float) (s1).c1.im-(s2).c1.re; \
(r).c2.re= (float) (s1).c2.re+(s2).c2.im; \
(r).c2.im= (float) (s1).c2.im-(s2).c2.re;
#ifdef _STD_C99_COMPLEX
#define _vector_combined_add_i_add(r1, s1, r2, s2, s) \
(r1).c0 = (s1).c0 + (s).c0; \
(r2).c0 = (s2).c0 + I*(s).c0; \
(r1).c1 = (s1).c1 + (s).c1; \
(r2).c1 = (s2).c1 + I*(s).c1; \
(r1).c2 = (s1).c2 + (s).c2; \
(r2).c2 = (s2).c2 + I*(s).c2; \
#else
#define _vector_combined_add_i_add(r1, s1, r2, s2, s) \
(r1).c0.re=(s1).c0.re+(s).c0.re; \
(r1).c0.im=(s1).c0.im+(s).c0.im; \
(r2).c0.re=(s2).c0.re-(s).c0.im; \
(r2).c0.im=(s2).c0.im+(s).c0.re; \
(r1).c1.re=(s1).c1.re+(s).c1.re; \
(r1).c1.im=(s1).c1.im+(s).c1.im; \
(r2).c1.re=(s2).c1.re-(s).c1.im; \
(r2).c1.im=(s2).c1.im+(s).c1.re; \
(r1).c2.re=(s1).c2.re+(s).c2.re; \
(r1).c2.im=(s1).c2.im+(s).c2.im; \
(r2).c2.re=(s2).c2.re-(s).c2.im; \
(r2).c2.im=(s2).c2.im+(s).c2.re;
#endif
/*
* r.c1+=s.c1
* r.c2+=s.c2
* r.c3+=s.c3
*/
#if ((defined SSE2) || (defined SSE3))
#define _vector_add_assign(r,s) \
_sse_load(r); \
_sse_load_up(s); \
_sse_vector_add(); \
_sse_store(r);
#define _vector_sub_assign(r,s) \
_sse_load(r); \
_sse_load_up(s); \
_sse_vector_sub(); \
_sse_store(r);
#elif defined _STD_C99_COMPLEX_CHECKED
#define _vector_add_assign(r,s) \
(r).c0 += (s).c0; \
(r).c1 += (s).c1; \
(r).c2 += (s).c2;
#define _vector_sub_assign(r,s) \
(r).c0 -= (s).c0; \
(r).c1 -= (s).c1; \
(r).c2 -= (s).c2;
#else
#define _vector_add_assign(r,s) \
(r).c0.re+=(s).c0.re; \
(r).c0.im+=(s).c0.im; \
(r).c1.re+=(s).c1.re; \
(r).c1.im+=(s).c1.im; \
(r).c2.re+=(s).c2.re; \
(r).c2.im+=(s).c2.im;
/*
* r.c1-=s.c1
* r.c2-=s.c2
* r.c3-=s.c3
*/
#define _vector_sub_assign(r,s) \
(r).c0.re-=(s).c0.re; \
(r).c0.im-=(s).c0.im; \
(r).c1.re-=(s).c1.re; \
(r).c1.im-=(s).c1.im; \
(r).c2.re-=(s).c2.re; \
(r).c2.im-=(s).c2.im;
#endif
#define _vector_add_assign32(r,s) \
(r).c0.re+= (double) (s).c0.re; \
(r).c0.im+= (double) (s).c0.im; \
(r).c1.re+= (double) (s).c1.re; \
(r).c1.im+= (double) (s).c1.im; \
(r).c2.re+= (double) (s).c2.re; \
(r).c2.im+= (double) (s).c2.im;
/*
* r.c1-=s.c1
* r.c2-=s.c2
* r.c3-=s.c3
*/
#define _vector_sub_assign32(r,s) \
(r).c0.re-= (double) (s).c0.re; \
(r).c0.im-= (double) (s).c0.im; \
(r).c1.re-= (double) (s).c1.re; \
(r).c1.im-= (double) (s).c1.im; \
(r).c2.re-= (double) (s).c2.re; \
(r).c2.im-= (double) (s).c2.im;
/*
* r.c1+=i*s.c1
* r.c2+=i*s.c2
* r.c3+=i*s.c3
*/
#ifdef _STD_C99_COMPLEX_CHECKED
#define _vector_i_add_assign(r,s) \
(r).c0 += (I*(s).c0); \
(r).c1 += (I*(s).c1); \
(r).c2 += (I*(s).c2);
#else
#define _vector_i_add_assign(r,s) \
(r).c0.re-=(s).c0.im; \
(r).c0.im+=(s).c0.re; \
(r).c1.re-=(s).c1.im; \
(r).c1.im+=(s).c1.re; \
(r).c2.re-=(s).c2.im; \
(r).c2.im+=(s).c2.re;
#endif
#define _vector_i_add_assign32(r,s) \
(r).c0.re-= (double) (s).c0.im; \
(r).c0.im+= (double) (s).c0.re; \
(r).c1.re-= (double) (s).c1.im; \
(r).c1.im+= (double) (s).c1.re; \
(r).c2.re-= (double) (s).c2.im; \
(r).c2.im+= (double) (s).c2.re;
/*
* r.c1-=i*s.c1
* r.c2-=i*s.c2
* r.c3-=i*s.c3
*/
#ifdef _STD_C99_COMPLEX_CHECKED
#define _vector_i_sub_assign(r,s) \
(r).c0 -= (I*(s).c0); \
(r).c1 -= (I*(s).c1); \
(r).c2 -= (I*(s).c2);
#else
#define _vector_i_sub_assign(r,s) \
(r).c0.re+=(s).c0.im; \
(r).c0.im-=(s).c0.re; \
(r).c1.re+=(s).c1.im; \
(r).c1.im-=(s).c1.re; \
(r).c2.re+=(s).c2.im; \
(r).c2.im-=(s).c2.re;
#endif
#define _vector_i_sub_assign32(r,s) \
(r).c0.re+= (double) (s).c0.im; \
(r).c0.im-= (double) (s).c0.re; \
(r).c1.re+= (double) (s).c1.im; \
(r).c1.im-= (double) (s).c1.re; \
(r).c2.re+= (double) (s).c2.im; \
(r).c2.im-= (double) (s).c2.re;
/* M.Hasenbusch
* r.c1=c*s.c1
* r.c2=c*s.c2
* r.c3=c*s.c3
*
* c complex
*/
#ifdef _STD_C99_COMPLEX_CHECKED
#define _complex_times_vector(r,c,s) \
(r).c0 = (c)*(s).c0; \
(r).c1 = (c)*(s).c1; \
(r).c2 = (c)*(s).c2;
#else
#define _complex_times_vector(r,c,s) \
(r).c0.re=(c).re*(s).c0.re-(c).im*(s).c0.im; \
(r).c0.im=(c).re*(s).c0.im+(c).im*(s).c0.re; \
(r).c1.re=(c).re*(s).c1.re-(c).im*(s).c1.im; \
(r).c1.im=(c).re*(s).c1.im+(c).im*(s).c1.re; \
(r).c2.re=(c).re*(s).c2.re-(c).im*(s).c2.im; \
(r).c2.im=(c).re*(s).c2.im+(c).im*(s).c2.re;
#endif
#ifdef _STD_C99_COMPLEX_CHECKED
#define _complex_times_vector32(r,c,s) \
(r).c0 = (float)(c)*(s).c0; \
(r).c1 = (float)(c)*(s).c1; \
(r).c2 = (float)(c)*(s).c2;
#else
#define _complex_times_vector32(r,c,s) \
(r).c0.re=(float)(c).re*(s).c0.re-(c).im*(s).c0.im; \
(r).c0.im=(float)(c).re*(s).c0.im+(c).im*(s).c0.re; \
(r).c1.re=(float)(c).re*(s).c1.re-(c).im*(s).c1.im; \
(r).c1.im=(float)(c).re*(s).c1.im+(c).im*(s).c1.re; \
(r).c2.re=(float)(c).re*(s).c2.re-(c).im*(s).c2.im; \
(r).c2.im=(float)(c).re*(s).c2.im+(c).im*(s).c2.re;
#endif
/* M.Hasenbusch */
#ifdef _STD_C99_COMPLEX_CHECKED
#define _complexcjg_times_vector(r,c,s) \
(r).c0 = conj(c)*(s).c0; \
(r).c1 = conj(c)*(s).c1; \
(r).c2 = conj(c)*(s).c2;
#else
#define _complexcjg_times_vector(r,c,s) \
(r).c0.re=(c).re*(s).c0.re+(c).im*(s).c0.im; \
(r).c0.im=(c).re*(s).c0.im-(c).im*(s).c0.re; \
(r).c1.re=(c).re*(s).c1.re+(c).im*(s).c1.im; \
(r).c1.im=(c).re*(s).c1.im-(c).im*(s).c1.re; \
(r).c2.re=(c).re*(s).c2.re+(c).im*(s).c2.im; \
(r).c2.im=(c).re*(s).c2.im-(c).im*(s).c2.re;
#endif
#ifdef _STD_C99_COMPLEX_CHECKED
#define _complexcjg_times_vector32(r,c,s) \
(r).c0 =(float) conj(c)*(s).c0; \
(r).c1 =(float) conj(c)*(s).c1; \
(r).c2 =(float) conj(c)*(s).c2;
#else
#define _complexcjg_times_vector32(r,c,s) \
(r).c0.re=(float) (c).re*(s).c0.re+(c).im*(s).c0.im; \
(r).c0.im=(float) (c).re*(s).c0.im-(c).im*(s).c0.re; \
(r).c1.re=(float) (c).re*(s).c1.re+(c).im*(s).c1.im; \
(r).c1.im=(float) (c).re*(s).c1.im-(c).im*(s).c1.re; \
(r).c2.re=(float) (c).re*(s).c2.re+(c).im*(s).c2.im; \
(r).c2.im=(float)(c).re*(s).c2.im-(c).im*(s).c2.re;
#endif
/*
* Real part of the scalar product (r,s)
*/
#ifdef _STD_C99_COMPLEX_CHECKED
#define _vector_prod_re(r,s) \
creal(conj((r).c0)*(s).c0 + conj((r).c1)*(s).c1 + conj((r).c2)*(s).c2);
#else
#define _vector_prod_re(r,s) \
(r).c0.re*(s).c0.re+(r).c0.im*(s).c0.im+ \
(r).c1.re*(s).c1.re+(r).c1.im*(s).c1.im+ \
(r).c2.re*(s).c2.re+(r).c2.im*(s).c2.im;
#endif
/*
* Imaginary part of the scalar product (r,s)
*/
#ifdef _STD_C99_COMPLEX_CHECKED
#define _vector_prod_im(r,s) \
cimag(conj((r).c0)*(s).c0 + conj((r).c1)*(s).c1 + conj((r).c2)*(s).c2);
#else
#define _vector_prod_im(r,s) \
(r).c0.re*(s).c0.im-(r).c0.im*(s).c0.re+ \
(r).c1.re*(s).c1.im-(r).c1.im*(s).c1.re+ \
(r).c2.re*(s).c2.im-(r).c2.im*(s).c2.re;
#endif
/*
* r.c1-=z*s.c1 (z of type complex)
* r.c2-=z*s.c2
* r.c3-=z*s.c3
*/
#ifdef _STD_C99_COMPLEX_CHECKED
#define _vector_project(r,z,s) \
(r).c0 -= (z*(s).c0); \
(r).c1 -= (z*(s).c1); \
(r).c2 -= (z*(s).c2);
#else
#define _vector_project(r,z,s) \
(r).c0.re-=((z).re*(s).c0.re-(z).im*(s).c0.im); \
(r).c0.im-=((z).re*(s).c0.im+(z).im*(s).c0.re); \
(r).c1.re-=((z).re*(s).c1.re-(z).im*(s).c1.im); \
(r).c1.im-=((z).re*(s).c1.im+(z).im*(s).c1.re); \
(r).c2.re-=((z).re*(s).c2.re-(z).im*(s).c2.im); \
(r).c2.im-=((z).re*(s).c2.im+(z).im*(s).c2.re);
#endif
/*
* SU(3) matrix u times SU(3) vector s
*
* r.c1=(u*s).c1
* r.c2=(u*s).c2
* r.c3=(u*s).c3
*/
#if ((defined SSE2) || (defined SSE3))
#define _su3_multiply(r,u,s) \
_sse_load(s); \
_sse_su3_multiply(u); \
_sse_store_up(r);
#define _su3_inverse_multiply(r,u,s) \
_sse_load(s); \
_sse_su3_inverse_multiply(u); \
_sse_store_up(r);
#elif (defined XLC && defined BGLNOTCHECKED)
#define _su3_multiply(r,u,s) \
_bgl_load(s); \
_bgl_su3_multiply(u); \
_bgl_store_up(r);
#define _su3_inverse_multiply(r,u,s) \
_bgl_load(s); \
_bgl_su3_inverse_multiply(u); \
_bgl_store_up(r);
#elif defined _STD_C99_COMPLEX_CHECKED
#define _su3_multiply(r,u,s) \
(r).c0 = (u).c00*(s).c0 + (u).c01*(s).c1 + (u).c02*(s).c2; \
(r).c1 = (u).c10*(s).c0 + (u).c11*(s).c1 + (u).c12*(s).c2; \
(r).c2 = (u).c20*(s).c0 + (u).c21*(s).c1 + (u).c22*(s).c2;
#define _su3_inverse_multiply(r,u,s) \
(r).c0 = conj((u).c00)*(s).c0 + conj((u).c10)*(s).c1 + conj((u).c20)*(s).c2; \
(r).c1 = conj((u).c01)*(s).c0 + conj((u).c11)*(s).c1 + conj((u).c21)*(s).c2; \
(r).c2 = conj((u).c02)*(s).c0 + conj((u).c12)*(s).c1 + conj((u).c22)*(s).c2;
#else
#define _su3_multiply(r,u,s) \
(r).c0.re= (u).c00.re*(s).c0.re-(u).c00.im*(s).c0.im \
+(u).c01.re*(s).c1.re-(u).c01.im*(s).c1.im \
+(u).c02.re*(s).c2.re-(u).c02.im*(s).c2.im; \
(r).c0.im= (u).c00.re*(s).c0.im+(u).c00.im*(s).c0.re \
+(u).c01.re*(s).c1.im+(u).c01.im*(s).c1.re \
+(u).c02.re*(s).c2.im+(u).c02.im*(s).c2.re; \
(r).c1.re= (u).c10.re*(s).c0.re-(u).c10.im*(s).c0.im \
+(u).c11.re*(s).c1.re-(u).c11.im*(s).c1.im \
+(u).c12.re*(s).c2.re-(u).c12.im*(s).c2.im; \
(r).c1.im= (u).c10.re*(s).c0.im+(u).c10.im*(s).c0.re \
+(u).c11.re*(s).c1.im+(u).c11.im*(s).c1.re \
+(u).c12.re*(s).c2.im+(u).c12.im*(s).c2.re; \
(r).c2.re= (u).c20.re*(s).c0.re-(u).c20.im*(s).c0.im \
+(u).c21.re*(s).c1.re-(u).c21.im*(s).c1.im \
+(u).c22.re*(s).c2.re-(u).c22.im*(s).c2.im; \
(r).c2.im= (u).c20.re*(s).c0.im+(u).c20.im*(s).c0.re \
+(u).c21.re*(s).c1.im+(u).c21.im*(s).c1.re \
+(u).c22.re*(s).c2.im+(u).c22.im*(s).c2.re;
/*
* SU(3) matrix u^dagger times SU(3) vector s
*
* r.c1=(u^dagger*s).c1
* r.c2=(u^dagger*s).c2
* r.c3=(u^dagger*s).c3
*/
#define _su3_inverse_multiply(r,u,s) \
(r).c0.re= (u).c00.re*(s).c0.re+(u).c00.im*(s).c0.im \
+(u).c10.re*(s).c1.re+(u).c10.im*(s).c1.im \
+(u).c20.re*(s).c2.re+(u).c20.im*(s).c2.im; \
(r).c0.im= (u).c00.re*(s).c0.im-(u).c00.im*(s).c0.re \
+(u).c10.re*(s).c1.im-(u).c10.im*(s).c1.re \
+(u).c20.re*(s).c2.im-(u).c20.im*(s).c2.re; \
(r).c1.re= (u).c01.re*(s).c0.re+(u).c01.im*(s).c0.im \
+(u).c11.re*(s).c1.re+(u).c11.im*(s).c1.im \
+(u).c21.re*(s).c2.re+(u).c21.im*(s).c2.im; \
(r).c1.im= (u).c01.re*(s).c0.im-(u).c01.im*(s).c0.re \
+(u).c11.re*(s).c1.im-(u).c11.im*(s).c1.re \
+(u).c21.re*(s).c2.im-(u).c21.im*(s).c2.re; \
(r).c2.re= (u).c02.re*(s).c0.re+(u).c02.im*(s).c0.im \
+(u).c12.re*(s).c1.re+(u).c12.im*(s).c1.im \
+(u).c22.re*(s).c2.re+(u).c22.im*(s).c2.im; \
(r).c2.im= (u).c02.re*(s).c0.im-(u).c02.im*(s).c0.re \
+(u).c12.re*(s).c1.im-(u).c12.im*(s).c1.re \
+(u).c22.re*(s).c2.im-(u).c22.im*(s).c2.re;
#endif
#define _su3_inverse_multiply32(r,u,s) \
(r).c0.re= (u).c00.re*(double)(s).c0.re+(u).c00.im*(double)(s).c0.im \
+(u).c10.re*(double)(s).c1.re+(u).c10.im*(double)(s).c1.im \
+(u).c20.re*(double)(s).c2.re+(u).c20.im*(double)(s).c2.im; \
(r).c0.im= (u).c00.re*(double)(s).c0.im-(u).c00.im*(double)(s).c0.re \
+(u).c10.re*(double)(s).c1.im-(u).c10.im*(double)(s).c1.re \
+(u).c20.re*(double)(s).c2.im-(u).c20.im*(double)(s).c2.re; \
(r).c1.re= (u).c01.re*(double)(s).c0.re+(u).c01.im*(double)(s).c0.im \
+(u).c11.re*(double)(s).c1.re+(u).c11.im*(double)(s).c1.im \
+(u).c21.re*(double)(s).c2.re+(u).c21.im*(double)(s).c2.im; \
(r).c1.im= (u).c01.re*(double)(s).c0.im-(u).c01.im*(double)(s).c0.re \
+(u).c11.re*(double)(s).c1.im-(u).c11.im*(double)(s).c1.re \
+(u).c21.re*(double)(s).c2.im-(u).c21.im*(double)(s).c2.re; \
(r).c2.re= (u).c02.re*(double)(s).c0.re+(u).c02.im*(double)(s).c0.im \
+(u).c12.re*(double)(s).c1.re+(u).c12.im*(double)(s).c1.im \
+(u).c22.re*(double)(s).c2.re+(u).c22.im*(double)(s).c2.im; \
(r).c2.im= (u).c02.re*(double)(s).c0.im-(u).c02.im*(double)(s).c0.re \
+(u).c12.re*(double)(s).c1.im-(u).c12.im*(double)(s).c1.re \
+(u).c22.re*(double)(s).c2.im-(u).c22.im*(double)(s).c2.re;
/*******************************************************************************
*
* Macros for SU(3) matrices
*
* Arguments are variables of type su3
*
*******************************************************************************/
/* M. Hasenbusch */
#ifdef _STD_C99_COMPLEX
#define _su3_norm_sq(x,u) \
x = (u).c00*conj((u).c00) + (u).c01*conj((u).c01) + (u).c02*conj((u).c02) \
(u).c10*conj((u).c10) + (u).c11*conj((u).c11) + (u).c12*conj((u).c12) \
(u).c20*conj((u).c20) + (u).c21*conj((u).c21) + (u).c22*conj((u).c22);
#else
#define _su3_norm_sq(x,u) \
x = (u).c00.re*(u).c00.re + (u).c00.im*(u).c00.im \
+(u).c01.re*(u).c01.re + (u).c01.im*(u).c01.im \
+(u).c02.re*(u).c02.re + (u).c02.im*(u).c02.im \
+(u).c10.re*(u).c10.re + (u).c10.im*(u).c10.im \
+(u).c11.re*(u).c11.re + (u).c11.im*(u).c11.im \
+(u).c12.re*(u).c12.re + (u).c12.im*(u).c12.im \
+(u).c20.re*(u).c20.re + (u).c20.im*(u).c20.im \
+(u).c21.re*(u).c21.re + (u).c21.im*(u).c21.im \
+(u).c22.re*(u).c22.re + (u).c22.im*(u).c22.im;
#endif
/*
u=1
added by M.Hasenbusch Thu Aug 9 10:27:28 MEST 2001 */
#ifdef _STD_C99_COMPLEX
#define _su2_one(u) \
(u).c00 = 1.; \
(u).c01 = 0.; \
(u).c02 = 0.; \
(u).c10 = 0.; \
(u).c11 = 1.; \
(u).c12 = 0.; \
(u).c20 = 0.; \
(u).c21 = 0.; \
(u).c22 = 1.;
#else
#define _su3_one(u) \
(u).c00.re=1.0; \
(u).c00.im=0.0; \
(u).c01.re=0.0; \
(u).c01.im=0.0; \
(u).c02.re=0.0; \
(u).c02.im=0.0; \
(u).c10.re=0.0; \
(u).c10.im=0.0; \
(u).c11.re=1.0; \
(u).c11.im=0.0; \
(u).c12.re=0.0; \
(u).c12.im=0.0; \
(u).c20.re=0.0; \
(u).c20.im=0.0; \
(u).c21.re=0.0; \
(u).c21.im=0.0; \
(u).c22.re=1.0; \
(u).c22.im=0.0;
#endif
/*
u=0
added by M.Hasenbusch Thu Aug 9 10:27:28 MEST 2001 */
#ifdef _STD_C99_COMPLEX
#define _su2_zero(u) \
(u).c00 = 0.; \
(u).c01 = 0.; \
(u).c02 = 0.; \
(u).c10 = 0.; \
(u).c11 = 0.; \
(u).c12 = 0.; \
(u).c20 = 0.; \
(u).c21 = 0.; \
(u).c22 = 0.;
#else
#define _su3_zero(u) \
(u).c00.re=0.0; \
(u).c00.im=0.0; \
(u).c01.re=0.0; \
(u).c01.im=0.0; \
(u).c02.re=0.0; \
(u).c02.im=0.0; \
(u).c10.re=0.0; \
(u).c10.im=0.0; \
(u).c11.re=0.0; \
(u).c11.im=0.0; \
(u).c12.re=0.0; \
(u).c12.im=0.0; \
(u).c20.re=0.0; \
(u).c20.im=0.0; \
(u).c21.re=0.0; \
(u).c21.im=0.0; \
(u).c22.re=0.0; \
(u).c22.im=0.0;
#endif
/* M. Hasenbusch
* u=v
*/
#ifdef _STD_C99_COMPLEX
#define _su3_assign(u,v) \
(u).c00 = (v).c00; \
(u).c01 = (v).c01; \
(u).c02 = (v).c02; \
(u).c10 = (v).c10; \
(u).c11 = (v).c11; \
(u).c12 = (v).c12; \
(u).c20 = (v).c20; \
(u).c21 = (v).c21; \
(u).c22 = (v).c22;
#else
#define _su3_assign(u,v) \
(u).c00.re= (v).c00.re; \
(u).c00.im= (v).c00.im; \
(u).c01.re= (v).c01.re; \
(u).c01.im= (v).c01.im; \
(u).c02.re= (v).c02.re; \
(u).c02.im= (v).c02.im; \
(u).c10.re= (v).c10.re; \
(u).c10.im= (v).c10.im; \
(u).c11.re= (v).c11.re; \
(u).c11.im= (v).c11.im; \
(u).c12.re= (v).c12.re; \
(u).c12.im= (v).c12.im; \
(u).c20.re= (v).c20.re; \
(u).c20.im= (v).c20.im; \
(u).c21.re= (v).c21.re; \
(u).c21.im= (v).c21.im; \
(u).c22.re= (v).c22.re; \
(u).c22.im= (v).c22.im;
#endif
/* M. Hasenbusch
* u=-v
*/
#ifdef _STD_C99_COMPLEX
#define _su3_minus_assign(u,v) \
(u).c00 = -(v).c00; \
(u).c01 = -(v).c01; \
(u).c02 = -(v).c02; \
(u).c10 = -(v).c10; \
(u).c11 = -(v).c11; \
(u).c12 = -(v).c12; \
(u).c20 = -(v).c20; \
(u).c21 = -(v).c21; \
(u).c22 = -(v).c22;
#else
#define _su3_minus_assign(u,v) \
(u).c00.re= -(v).c00.re; \
(u).c00.im= -(v).c00.im; \
(u).c01.re= -(v).c01.re; \
(u).c01.im= -(v).c01.im; \
(u).c02.re= -(v).c02.re; \
(u).c02.im= -(v).c02.im; \
(u).c10.re= -(v).c10.re; \
(u).c10.im= -(v).c10.im; \
(u).c11.re= -(v).c11.re; \
(u).c11.im= -(v).c11.im; \
(u).c12.re= -(v).c12.re; \
(u).c12.im= -(v).c12.im; \
(u).c20.re= -(v).c20.re; \
(u).c20.im= -(v).c20.im; \
(u).c21.re= -(v).c21.re; \
(u).c21.im= -(v).c21.im; \
(u).c22.re= -(v).c22.re; \
(u).c22.im= -(v).c22.im;
#endif
/*
* u=v^dagger
*/
#ifdef _STD_C99_COMPLEX
#define _su3_dagger(u,v) \
(u).c00 = conj((v).c00); \
(u).c01 = conj((v).c10); \
(u).c02 = conj((v).c20); \
(u).c10 = conj((v).c01); \
(u).c11 = conj((v).c11); \
(u).c12 = conj((v).c21); \
(u).c20 = conj((v).c02); \
(u).c21 = conj((v).c12); \
(u).c22 = conj((v).c22);
#else
#define _su3_dagger(u,v) \
(u).c00.re= (v).c00.re; \
(u).c00.im=-(v).c00.im; \
(u).c01.re= (v).c10.re; \
(u).c01.im=-(v).c10.im; \
(u).c02.re= (v).c20.re; \
(u).c02.im=-(v).c20.im; \
(u).c10.re= (v).c01.re; \
(u).c10.im=-(v).c01.im; \
(u).c11.re= (v).c11.re; \
(u).c11.im=-(v).c11.im; \
(u).c12.re= (v).c21.re; \
(u).c12.im=-(v).c21.im; \
(u).c20.re= (v).c02.re; \
(u).c20.im=-(v).c02.im; \
(u).c21.re= (v).c12.re; \
(u).c21.im=-(v).c12.im; \
(u).c22.re= (v).c22.re; \
(u).c22.im=-(v).c22.im;
#endif
#ifdef _STD_C99_COMPLEX
#define _itimes_su3(u,v) \