/*! _zhematrix*_zhematrix operator */
inline _zgematrix operator*(const _zhematrix& matA, const _zhematrix& matB)
{
#ifdef CPPL_VERBOSE
std::cerr << "# [MARK] operator*(const _zhematrix&, const _zhematrix&)"
<< std::endl;
#endif//CPPL_VERBOSE
#ifdef CPPL_DEBUG
if(matA.N!=matB.N){
std::cerr << "[ERROR] operator*(_zhematrix&, zhematrix&)" << std::endl
<< "These two matrises can not make a product." << std::endl
<< "Your input was (" << matA.N << "x" << matA.N << ") * ("
<< matB.N << "x" << matB.N << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
matB.complete();
zgematrix newmat( matA.N, matB.N );
zhemm_( 'L', 'L', matA.N, matB.N, std::complex<double>(1.0,0.0),
matA.Array, matA.N, matB.Array, matB.N,
std::complex<double>(0.0,0.0), newmat.array, newmat.m );
matA.destroy();
matB.destroy();
return _(newmat);
}
/*! _zgbmatrix*_zhematrix operator */
inline _zgematrix operator*(const _zgbmatrix& matA, const _zhematrix& matB)
{VERBOSE_REPORT;
#ifdef CPPL_DEBUG
if(matA.n!=matB.n){
ERROR_REPORT;
std::cerr << "These two matrises can not make a product." << std::endl
<< "Your input was (" << matA.m << "x" << matA.n << ") * (" << matB.n << "x" << matB.n << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
zgematrix newmat( matA.m, matB.n );
newmat.zero();
for(long i=0; i<newmat.m; i++){
for(long j=0; j<newmat.n; j++){
for(long k=std::max(long(0),i-matA.kl); k<std::min(matA.n,i+matA.ku+1); k++){
newmat(i,j)+=matA(i,k)*matB(k,j);
}
}
}
matA.destroy();
matB.destroy();
return _(newmat);
}
/*! _zhematrix-_zhematrix operator */
inline _zhematrix operator-(const _zhematrix& matA, const _zhematrix& matB)
{
#ifdef CPPL_VERBOSE
std::cerr << "# [MARK] operator-(const _zhematrix&, const _zhematrix&)"
<< std::endl;
#endif//CPPL_VERBOSE
#ifdef CPPL_DEBUG
if(matA.N!=matB.N){
std::cerr << "[ERROR] operator-(_zhematrix&, _zhematrix&)" << std::endl
<< "These two matrises can not make a subtraction." << std::endl
<< "Your input was (" << matA.N << "x" << matA.N << ") - ("
<< matB.N << "x" << matB.N << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
for(long i=0; i<matA.N; i++){
for(long j=0; j<matA.N; j++){
matA.Array[i+matA.N*j]-=matB.Array[i+matA.N*j];
}
}
matB.destroy();
return matA;
}
/*! _zhematrix-zgbmatrix operator */
inline _zgematrix operator-(const _zhematrix& matA, const zgbmatrix& matB)
{
#ifdef CPPL_VERBOSE
std::cerr << "# [MARK] operator-(const _zhematrix&, const zgbmatrix&)"
<< std::endl;
#endif//CPPL_VERBOSE
#ifdef CPPL_DEBUG
if(matA.N!=matB.N || matA.N!=matB.M){
std::cerr << "[ERROR] operator+(_zhematrix&, zgbmatrix&)" << std::endl
<< "These two matrises can not make a summation." << std::endl
<< "Your input was (" << matA.N << "x" << matA.N << ") + ("
<< matB.M << "x" << matB.N << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
zgematrix newmat(matA.N, matA.N);
for(long i=0; i<matB.M; i++){
for(long j=0; j<matA.N; j++){
newmat(i,j) =matA(i,j);
}
for(long j=max(0,i-matB.KL); j<min(matB.N,i+matB.KU+1); j++){
newmat(i,j)-=matB(i,j);
}
}
matA.destroy();
return _(newmat);
}
/*! _zgematrix*zgbmatrix operator */
inline _zgematrix operator*(const _zhematrix& matA, const zgbmatrix& matB)
{
#ifdef CPPL_VERBOSE
std::cerr << "# [MARK] operator*(const _zhematrix&, const zgbmatrix&)"
<< std::endl;
#endif//CPPL_VERBOSE
#ifdef CPPL_DEBUG
if(matA.N!=matB.M){
std::cerr << "[ERROR] operator*(_zhematrix&, zgbmatrix&)" << std::endl
<< "These two matrises can not make a product." << std::endl
<< "Your input was (" << matA.N << "x" << matA.N << ") * ("
<< matB.M << "x" << matB.N << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
zgematrix newmat( matA.N, matB.N );
newmat.zero();
long i, j, k;
for(i=0; i<newmat.m; i++){
for(j=0; j<newmat.n; j++){
for(k=max(0,j-matB.KU); k<min(matB.M,j+matB.KL+1); k++){
newmat(i,j)+=matA(i,k)*matB(k,j);
}
}
}
matA.destroy();
return _(newmat);
}
/*! _zhematrix*zcovector operator */
inline _zcovector operator*(const _zhematrix& mat, const zcovector& vec)
{
#ifdef CPPL_VERBOSE
std::cerr << "# [MARK] operator*(const _zhematrix&, const zcovector&)"
<< std::endl;
#endif//CPPL_VERBOSE
#ifdef CPPL_DEBUG
if(mat.N!=vec.L){
std::cerr << "[ERROR] operator*(const _zhematrix&, const zcovector&)"
<< std::endl
<< "These matrix and vector can not make a product." << std::endl
<< "Your input was (" << mat.N << "x" << mat.N << ") * ("
<< vec.L << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
zcovector newvec(mat.N);
zhemv_( 'L', mat.N, std::complex<double>(1.0,0.0), mat.Array, mat.N,
vec.Array, 1, std::complex<double>(0.0,0.0), newvec.array, 1 );
mat.destroy();
return _(newvec);
}
/*! _zgbmatrix+_zhematrix operator */
inline _zgematrix operator+(const _zgbmatrix& matA, const _zhematrix& matB)
{VERBOSE_REPORT;
#ifdef CPPL_DEBUG
if(matA.m!=matB.n || matA.n!=matB.n){
ERROR_REPORT;
std::cerr << "These two matrises can not make a summation." << std::endl
<< "Your input was (" << matA.m << "x" << matA.n << ") + (" << matB.n << "x" << matB.n << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
zgematrix newmat(matB.n, matB.n);
for(long i=0; i<matA.m; i++){
for(long j=0; j<matB.n; j++){
newmat(i,j) =matB(i,j);
}
for(long j=std::max(long(0),i-matA.kl); j<std::min(matA.n,i+matA.ku+1); j++){
newmat(i,j)+=matA(i,j);
}
}
matA.destroy();
matB.destroy();
return _(newmat);
}
/*! zhematrix constructor to cast _zhematrix */
inline zhematrix::zhematrix(const _zhematrix& mat)
: m(n)
{VERBOSE_REPORT;
n =mat.n;
array =mat.array;
darray =mat.darray;
mat.nullify();
}
/*! _zhematrix copy constructor */
inline _zhematrix::_zhematrix(const _zhematrix& mat)
:m(n)
{VERBOSE_REPORT;
//////// initialize ////////
n =mat.n;
array =mat.array;
darray =mat.darray;
mat.nullify();
}
/*! zgsmatrix+_zhematrix operator */
inline _zgematrix operator+(const zgsmatrix& matA, const _zhematrix& matB)
{VERBOSE_REPORT;
#ifdef CPPL_DEBUG
if(matA.m!=matB.n || matA.n!=matB.n){
ERROR_REPORT;
std::cerr << "These two matrises can not make a summation." << std::endl
<< "Your input was (" << matA.m << "x" << matA.n << ") + (" << matB.n << "x" << matB.n << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
zgematrix newmat( matB.to_zgematrix() );
for(std::vector<zcomponent>::const_iterator it=matA.data.begin(); it!=matA.data.end(); it++){
newmat(it->i,it->j) += it->v;
}
matB.destroy();
return _(newmat);
}
/*! _zhematrix*_zhematrix operator */
inline _zgematrix operator*(const _zhematrix& matA, const _zhematrix& matB)
{VERBOSE_REPORT;
#ifdef CPPL_DEBUG
if(matA.n!=matB.n){
ERROR_REPORT;
std::cerr << "These two matrises can not make a product." << std::endl
<< "Your input was (" << matA.n << "x" << matA.n << ") * (" << matB.n << "x" << matB.n << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
matB.complete();
zgematrix newmat( matA.n, matB.n );
zhemm_( 'l', 'l', matA.n, matB.n, comple(1.0,0.0),
matA.array, matA.n, matB.array, matB.n,
comple(0.0,0.0), newmat.array, newmat.m );
matA.destroy();
matB.destroy();
return _(newmat);
}
/*! _zrovector*_zhematrix operator */
inline _zrovector operator*(const _zrovector& vec, const _zhematrix& mat)
{VERBOSE_REPORT;
#ifdef CPPL_DEBUG
if(vec.l!=mat.n){
ERROR_REPORT;
std::cerr << "These vector and matrix can not make a product." << std::endl
<< "Your input was (" << vec.l << ") * (" << mat.n << "x" << mat.n << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
zrovector newvec(mat.n);
zhemv_( 'l', mat.n, comple(1.0,0.0), mat.array, mat.n,
vec.array, 1, comple(0.0,0.0), newvec.array, 1 );
vec.destroy();
mat.destroy();
return _(newvec);
}
/*! _zhematrix-zhematrix operator */
inline _zgematrix operator-(const _zhematrix& matA, const zhematrix& matB)
{VERBOSE_REPORT;
#ifdef CPPL_DEBUG
if(matA.n!=matB.m || matA.n!=matB.n){
ERROR_REPORT;
std::cerr << "These two matrises can not make a subtraction." << std::endl
<< "Your input was (" << matA.n << "x" << matA.n << ") - (" << matB.m << "x" << matB.n << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
zgematrix newmat(matA);
for(long c=0; c<matB.vol; c++){
newmat(matB.indx[c],matB.jndx[c]) -= matB.array[c];
}
matA.destroy();
return _(newmat);
}
/*! zgematrix-_zhematrix operator */
inline _zgematrix operator-(const zgematrix& matA, const _zhematrix& matB)
{VERBOSE_REPORT;
#ifdef CPPL_DEBUG
if(matA.n!=matB.n || matA.m!=matB.n){
ERROR_REPORT;
std::cerr << "These two matrises can not make a subtraction." << std::endl
<< "Your input was (" << matA.m << "x" << matA.n << ") - (" << matB.n << "x" << matB.n << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
zgematrix newmat(matA);
for(long i=0; i<matA.m; i++){ for(long j=0; j<matA.n; j++){
newmat(i,j) -=matB(i,j);
}}
matB.destroy();
return _(newmat);
}
/*! _zhematrix-_zhematrix operator */
inline _zhematrix operator-(const _zhematrix& matA, const _zhematrix& matB)
{VERBOSE_REPORT;
#ifdef CPPL_DEBUG
if(matA.n!=matB.n){
ERROR_REPORT;
std::cerr << "These two matrises can not make a subtraction." << std::endl
<< "Your input was (" << matA.n << "x" << matA.n << ") - (" << matB.n << "x" << matB.n << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
for(long i=0; i<matA.n; i++){
for(long j=0; j<matA.n; j++){
matA.array[i+matA.n*j]-=matB.array[i+matA.n*j];
}
}
matB.destroy();
return matA;
}
/*! _zhematrix*zhematrix operator */
inline _zgematrix operator*(const _zhematrix& matA, const zhematrix& matB)
{VERBOSE_REPORT;
#ifdef CPPL_DEBUG
if(matA.n!=matB.m){
ERROR_REPORT;
std::cerr << "These two matrises can not make a product." << std::endl
<< "Your input was (" << matA.n << "x" << matA.n << ") * (" << matB.m << "x" << matB.n << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
zgematrix newmat(matA.n, matB.n);
newmat.zero();
for(long c=0; c<matB.vol; c++){
for(long i=0; i<matA.n; i++){
newmat(i,matB.jndx[c]) += matA(i,matB.indx[c])*matB.array[c];
}
}
matA.destroy();
return _(newmat);
}
/*! zgsmatrix*_zhematrix operator */
inline _zgematrix operator*(const zgsmatrix& matA, const _zhematrix& matB)
{VERBOSE_REPORT;
#ifdef CPPL_DEBUG
if(matA.n!=matB.n){
ERROR_REPORT;
std::cerr << "These two matrises can not make a product." << std::endl
<< "Your input was (" << matA.m << "x" << matA.n << ") * (" << matB.n << "x" << matB.n << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
zgematrix newmat(matA.m, matB.n);
newmat.zero();
for(std::vector<zcomponent>::const_iterator it=matA.data.begin(); it!=matA.data.end(); it++){
for(long i=0; i<matB.n; i++){
newmat(it->i,i) += it->v*matB(it->j,i);
}
}
matB.destroy();
return _(newmat);
}
