//=============================================================================
/*! convert dsymatrix_small to dgematrix_small */
template<long n>
inline dgematrix_small<n,n> dsymatrix_small<n>::to_dgematrix_small() const
{CPPL_VERBOSE_REPORT;
dgematrix_small<n,n> newmat;
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){ newmat(i,j) =(*this)(i,j); }
for(long j=i+1; j<n; j++){ newmat(i,j) =(*this)(j,i); }
}
return newmat;
}
//=============================================================================
/*! convert dsymatrix_small to dsymatrix */
template<long n>
inline dsymatrix dsymatrix_small<n>::to_dsymatrix() const
{CPPL_VERBOSE_REPORT;
dsymatrix newmat(n);
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){
newmat(i,j) =(*this)(i,j);
}
}
return newmat;
}
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
//=============================================================================
/*! operator() */
template<long n>
inline double& dsymatrix_small<n>::operator()(const long& i, const long& j)
{CPPL_VERBOSE_REPORT;
#ifdef CPPL_DEBUG
if(i<j){
ERROR_REPORT;
std::cerr << "i must be greater than or equal to j since dsymatrix_small is L strage. " << std::endl;
std::cerr << "Your input was (" << i << ", " << j << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
//const long I(max(i,j)), J(min(i,j)); return array[(I*(I+1))/2 +J];
return array[(i*(i+1))/2 +j]; //L storage
}
//=============================================================================
/*! operator() for const */
template<long n>
inline double dsymatrix_small<n>::operator()(const long& i, const long& j) const
{CPPL_VERBOSE_REPORT;
#ifdef CPPL_DEBUG
if(i<j){
ERROR_REPORT;
std::cerr << "i must be greater than or equal to j since dsymatrix_small is L strage. " << std::endl;
std::cerr << "Your input was (" << i << ", " << j << ")." << std::endl;
exit(1);
}
#endif//CPPL_DEBUG
//const long I(max(i,j)), J(min(i,j)); return array[(I*(I+1))/2 +J];
return array[(i*(i+1))/2 +j];
}
//=============================================================================
/*! set function */
template<long n>
inline dsymatrix_small<n>& dsymatrix_small<n>::set(const long& i, const long& j, const double& v)
{CPPL_VERBOSE_REPORT;
(*this)(i,j)=v;
return *this;
}
//=============================================================================
/*! operator<< */
template<long n>
inline std::ostream& operator<<(std::ostream& s, const dsymatrix_small<n>& A)
{CPPL_VERBOSE_REPORT;
s << std::setiosflags(std::ios::showpos);
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){ s << " " << A(i,j) << " "<< std::flush; }
for(long j=i+1; j<n; j++){ s << "{" << A(j,i) << "}" << std::flush; }
s << std::endl;
}
return s;
}
//=============================================================================
/*! write to file */
template<long n>
inline void dsymatrix_small<n>::write(const char* filename) const
{CPPL_VERBOSE_REPORT;
std::ofstream ofs(filename, std::ios::trunc);
ofs.setf(std::cout.flags());
ofs.precision(std::cout.precision());
ofs.width(std::cout.width());
ofs.fill(std::cout.fill());
ofs << "#dsymatrix" << " " << n << std::endl;
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){
ofs << (*this)(i,j) << " ";
}
ofs << std::endl;
}
ofs.close();
}
//=============================================================================
/*! read from file */
template<long n>
inline void dsymatrix_small<n>::read(const char* filename)
{CPPL_VERBOSE_REPORT;
std::ifstream s(filename);
if(!s){
ERROR_REPORT;
std::cerr << "The file \"" << filename << "\" can not be opened." << std::endl;
exit(1);
}
std::string id;
s >> id;
if( id != "dsymatrix" && id != "#dsymatrix" ){
ERROR_REPORT;
std::cerr << "The type name of the file \"" << filename << "\" is not dsymatrix." << std::endl
<< "Its type name was " << id << " ." << std::endl;
exit(1);
}
long _n;
s >> _n;
if(n!=_n){
ERROR_REPORT;
std::cerr << "Matrix size is invalid." << std::endl;
exit(1);
}
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++ ){
s >> operator()(i,j);
}
}
if(s.eof()){
ERROR_REPORT;
std::cerr << "There is something is wrong with the file \"" << filename << "\"." << std::endl
<< "Most likely, there is a lack of data components, or a linefeed code or space code is missing at the end of the last line." << std::endl;
exit(1);
}
s.close();
}
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
//=============================================================================
/*! zero */
template<long n>
inline dsymatrix_small<n>& dsymatrix_small<n>::zero()
{CPPL_VERBOSE_REPORT;
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){
(*this)(i,j) =0.;
}
}
return *this;
}
//=============================================================================
/*! identity */
template<long n>
inline dsymatrix_small<n>& dsymatrix_small<n>::identity()
{CPPL_VERBOSE_REPORT;
zero();
for(long k=0; k<n; k++){
(*this)(k,k) =1.;
}
return *this;
}
//=============================================================================
/*! return its trace */
template<long n>
inline double trace(const dsymatrix_small<n>& A)
{CPPL_VERBOSE_REPORT;
double trace =0.;
for(long i=0; i<n; i++){
trace +=A(i,i);
}
return trace;
}
//=============================================================================
/*! return index of maximum component */
template<long n>
inline void idamax(long& I, long& J, const dsymatrix_small<n>& A)
{CPPL_VERBOSE_REPORT;
double max(-1.);
for(int i=0; i<n; i++){
for(int j=0; j<=i; j++){
if( max<fabs(A(i,j)) ){
I=i;
J=j;
max =fabs(A(i,j));
}
}
}
return;
}
//=============================================================================
/*! return maximum component */
template<long n>
inline double damax(const dsymatrix_small<n>& A)
{CPPL_VERBOSE_REPORT;
long i(0),j(0);
idamax(i,j,A);
return A(i,j);
}
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
//=============================================================================
/*! dsymatrix_small+=dsymatrix_small operator */
template<long n>
inline dsymatrix_small<n>& operator+=(dsymatrix_small<n>& A, const dsymatrix_small<n>& B)
{CPPL_VERBOSE_REPORT;
for(long k=0; k<(n*(n+1))/2; k++){ A.array[k]+=B.array[k]; }
return A;
}
//=============================================================================
/*! dsymatrix_small-=dsymatrix_small operator */
template<long n>
inline dsymatrix_small<n>& operator-=(dsymatrix_small<n>& A, const dsymatrix_small<n>& B)
{CPPL_VERBOSE_REPORT;
for(long k=0; k<(n*(n+1))/2; k++){ A.array[k]-=B.array[k]; }
return A;
}
//=============================================================================
/*! dsymatrix_small*=double operator */
template<long n>
inline dsymatrix_small<n>& operator*=(dsymatrix_small<n>& A, const double& v)
{CPPL_VERBOSE_REPORT;
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){
A(i,j)*=v;
}
}
return A;
}
//=============================================================================
/*! dsymatrix_small/=double operator */
template<long n>
inline dsymatrix_small<n>& operator/=(dsymatrix_small<n>& A, const double& v)
{CPPL_VERBOSE_REPORT;
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){
A(i,j)/=v;
}
}
return A;
}
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
//=============================================================================
/*! unary + operator */
template<long n>
inline const dsymatrix_small<n>& operator+(const dsymatrix_small<n>& A)
{CPPL_VERBOSE_REPORT;
return A;
}
//=============================================================================
/*! unary - operator */
template<long n>
inline dsymatrix_small<n> operator-(const dsymatrix_small<n>& A)
{CPPL_VERBOSE_REPORT;
dsymatrix_small<n> X;
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){
X(i,j)=-A(i,j);
}
}
return X;
}
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
//=============================================================================
/*! dsymatrix_small+dgematrix_small operator */
template<long n>
inline dgematrix_small<n,n> operator+(const dsymatrix_small<n>& A, const dgematrix_small<n,n>& B)
{CPPL_VERBOSE_REPORT;
dgematrix_small<n,n> X;
for(long i=0; i<n; i++){
for(long j=0; j<i; j++){
X(i,j) =A(i,j)+B(i,j);
}
for(long j=i; j<n; j++){
X(i,j) =A(j,i)+B(i,j);
}
}
return X;
}
//=============================================================================
/*! dsymatrix_small+dsymatrix_small operator */
template<long n>
inline dsymatrix_small<n> operator+(const dsymatrix_small<n>& A, const dsymatrix_small<n>& B)
{CPPL_VERBOSE_REPORT;
dsymatrix_small<n> X;
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){
X(i,j) =A(i,j)+B(i,j);
}
}
return X;
}
//=============================================================================
/*! dsymatrix_small-dgematrix_small operator */
template<long n>
inline dgematrix_small<n,n> operator-(const dsymatrix_small<n>& A, const dgematrix_small<n,n>& B)
{CPPL_VERBOSE_REPORT;
dgematrix_small<n,n> X;
for(long i=0; i<n; i++){
for(long j=0; j<i; j++){
X(i,j) =A(i,j)-B(i,j);
}
for(long j=i; j<n; j++){
X(i,j) =A(j,i)-B(i,j);
}
}
return X;
}
//=============================================================================
/*! dsymatrix_small-dsymatrix_small operator */
template<long n>
inline dsymatrix_small<n> operator-(const dsymatrix_small<n>& A, const dsymatrix_small<n>& B)
{CPPL_VERBOSE_REPORT;
dsymatrix_small<n> X;
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){
X(i,j) =A(i,j)-B(i,j);
}
}
return X;
}
//=============================================================================
/*! dsymatrix_small*dcovector_small operator */
template<long n>
inline dcovector_small<n> operator*(const dsymatrix_small<n>& A, const dcovector_small<n>& B)
{CPPL_VERBOSE_REPORT;
dcovector_small<n> C;
C.zero();
for(long i=0; i<n; i++){
for(long j=0; j<i; j++){
C(i) +=A(i,j)*B(j);
}
for(long j=i; j<n; j++){
C(i) +=A(j,i)*B(j);
}
}
return C;
}
//=============================================================================
/*! dsymatrix_small*dgematrix_small operator */
template<long m, long n>
inline dgematrix_small<m,n> operator*(const dsymatrix_small<m>& A, const dgematrix_small<m,n>& B)
{CPPL_VERBOSE_REPORT;
dgematrix_small<m,n> X;
X.zero();
for(long i=0; i<m; i++){
for(long j=0; j<n; j++){
for(long k=0; k<i; k++){
X(i,j) +=A(i,k)*B(k,j);
}
for(long k=i; k<m; k++){
X(i,j) +=A(k,i)*B(k,j);
}
}
}
return X;
}
//=============================================================================
/*! dsymatrix_small*dsymatrix_small operator */
template<long n>
inline dgematrix_small<n,n> operator*(const dsymatrix_small<n>& A, const dsymatrix_small<n>& B)
{CPPL_VERBOSE_REPORT;
dgematrix_small<n,n> X;
X.zero();
for(long i=0; i<n; i++){
for(long j=0; j<i; j++){
for(long k=0; k<j; k++){
X(i,j) +=A(i,k)*B(j,k);
}
for(long k=j; k<i; k++){
X(i,j) +=A(i,k)*B(k,j);
}
for(long k=i; k<n; k++){
X(i,j) +=A(k,i)*B(k,j);
}
}
for(long j=i; j<n; j++){
for(long k=0; k<i; k++){
X(i,j) +=A(i,k)*B(j,k);
}
for(long k=i; k<j; k++){
X(i,j) +=A(k,i)*B(j,k);
}
for(long k=j; k<n; k++){
X(i,j) +=A(k,i)*B(k,j);
}
}
}
return X;
}
//=============================================================================
/*! dsymatrix_small*double operator */
template<long n>
inline dsymatrix_small<n> operator*(const dsymatrix_small<n>& A, const double& v)
{CPPL_VERBOSE_REPORT;
dsymatrix_small<n> C;
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){
C(i,j) =A(i,j)*v;
}
}
return C;
}
//=============================================================================
/*! dsymatrix_small/double operator */
template<long n>
inline dsymatrix_small<n> operator/(const dsymatrix_small<n>& A, const double& v)
{CPPL_VERBOSE_REPORT;
dsymatrix_small<n> C;
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){
C(i,j) =A(i,j)/v;
}
}
return C;
}
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
///////////////////////////////////////////////////////////////////////////////
//=============================================================================
/*! Hadamerd operator */
template<long n>
inline dgematrix_small<n,n> hadamerd(const dsymatrix_small<n>& A, const dgematrix_small<n,n>& B)
{CPPL_VERBOSE_REPORT;
dsymatrix_small<n> C;
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){
C(i,j) =A(i,j)*B(i,j);
}
for(long j=i+1; j<n; j++){
C(i,j) =A(j,i)*B(i,j);
}
}
return C;
}
//=============================================================================
/*! Hadamerd operator */
template<long n>
inline dsymatrix_small<n> hadamerd(const dsymatrix_small<n>& A, const dsymatrix_small<n>& B)
{CPPL_VERBOSE_REPORT;
dsymatrix_small<n> C;
for(long i=0; i<n; i++){
for(long j=0; j<=i; j++){
C(i,j) =A(i,j)*B(i,j);
}
}
return C;
}
