zgematrix_small-functions.hpp File Reference

Go to the source code of this file.

Functions
template<CPPL_INT m, CPPL_INT n>
std::ostream &	operator<< (std::ostream &s, const zgematrix_small< m, n > &A)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< n, m >	t (const zgematrix_small< m, n > &A)
template<CPPL_INT m, CPPL_INT n>
comple	trace (const zgematrix_small< m, n > &A)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n > &	operator+= (zgematrix_small< m, n > &A, const zgematrix_small< m, n > &B)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n > &	operator-= (zgematrix_small< m, n > &A, const zgematrix_small< m, n > &B)
template<CPPL_INT m, CPPL_INT l, CPPL_INT n>
zgematrix_small< m, n > &	operator*= (zgematrix_small< m, l > &A, const zgematrix_small< l, n > &B)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n > &	operator*= (zgematrix_small< m, n > &A, const double &v)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n > &	operator*= (zgematrix_small< m, n > &A, const comple &v)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n > &	operator/= (zgematrix_small< m, n > &A, const double &v)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n > &	operator/= (zgematrix_small< m, n > &A, const comple &v)
template<CPPL_INT m, CPPL_INT n>
const zgematrix_small< m, n > &	operator+ (const zgematrix_small< m, n > &A)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n >	operator- (const zgematrix_small< m, n > &A)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n >	operator+ (const zgematrix_small< m, n > &A, const zgematrix_small< m, n > &B)
template<CPPL_INT n>
zgematrix_small< n, n >	operator+ (const zgematrix_small< n, n > &A, const zhematrix_small< n > &B)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n >	operator- (const zgematrix_small< m, n > &A, const zgematrix_small< m, n > &B)
template<CPPL_INT n>
zgematrix_small< n, n >	operator- (const zgematrix_small< n, n > &A, const zhematrix_small< n > &B)
template<CPPL_INT m, CPPL_INT n>
zcovector_small< m >	operator* (const zgematrix_small< m, n > &A, const zcovector_small< n > &B)
template<CPPL_INT m, CPPL_INT l, CPPL_INT n>
zgematrix_small< m, n >	operator* (const zgematrix_small< m, l > &A, const zgematrix_small< l, n > &B)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n >	operator* (const zgematrix_small< m, n > &A, const zhematrix_small< n > &B)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n >	operator* (const zgematrix_small< m, n > &A, const double &v)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n >	operator* (const zgematrix_small< m, n > &A, const comple &v)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n >	operator/ (const zgematrix_small< m, n > &A, const double &v)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n >	operator/ (const zgematrix_small< m, n > &A, const comple &v)
template<CPPL_INT m, CPPL_INT n>
zgematrix_small< m, n >	hadamerd (const zgematrix_small< m, n > &A, const zgematrix_small< m, n > &B)
template<CPPL_INT n>
zgematrix_small< n, n >	hadamerd (const zgematrix_small< n, n > &A, const zhematrix_small< n > &B)

Function Documentation

template<CPPL_INT m, CPPL_INT n>

std::ostream& operator<< ( std::ostream &  s, const zgematrix_small< m, n > &  A  )

inline

operator<<

Definition at line 65 of file zgematrix_small-functions.hpp.

References i().

{CPPL_VERBOSE_REPORT;
  s << std::setiosflags(std::ios::showpos);
  for(CPPL_INT i=0; i<m; i++){
    for(CPPL_INT j=0; j<n; j++){
      s << " " << A(i,j);
    }
    s << std::endl;
  }
  return s;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<n,m> t ( const zgematrix_small< m, n > &  A )

inline

return transposed zgematrix_small

Definition at line 158 of file zgematrix_small-functions.hpp.

References i().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<n,m> X;
  for(CPPL_INT i=0; i<m; i++){
    for(CPPL_INT j=0; j<n; j++){
      X(j,i) =A(i,j);
    }
  }
  return X;
}

template<CPPL_INT m, CPPL_INT n>

comple trace ( const zgematrix_small< m, n > &  A )

inline

return its trace

Definition at line 172 of file zgematrix_small-functions.hpp.

References i().

{CPPL_VERBOSE_REPORT;
  comple trace =comple(0.,0);
  
  const CPPL_INT imax =std::min(m,n);
  for(CPPL_INT i=0; i<imax; i++){
    trace +=A(i,i);
  }
  
  return trace;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n>& operator+= ( zgematrix_small< m, n > &  A, const zgematrix_small< m, n > &  B  )

inline

zgematrix_small+=zgematrix_small operator

Definition at line 246 of file zgematrix_small-functions.hpp.

References zgematrix_small< m, n >::array.

{CPPL_VERBOSE_REPORT;
  for(CPPL_INT k=0; k<m*n; k++){
    A.array[k] +=B.array[k];
  }
  return A;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n>& operator-= ( zgematrix_small< m, n > &  A, const zgematrix_small< m, n > &  B  )

inline

zgematrix_small-=zgematrix_small operator

Definition at line 257 of file zgematrix_small-functions.hpp.

References zgematrix_small< m, n >::array.

{CPPL_VERBOSE_REPORT;
  for(CPPL_INT k=0; k<m*n; k++){
    A.array[k] -=B.array[k];
  }
  return A;
}

template<CPPL_INT m, CPPL_INT l, CPPL_INT n>

zgematrix_small<m,n>& operator*= ( zgematrix_small< m, l > &  A, const zgematrix_small< l, n > &  B  )

inline

zgematrix_small*=zgematrix_small operator

Definition at line 268 of file zgematrix_small-functions.hpp.

References i(), and zgematrix_small< m, n >::zero().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<m,n> X;
  X.zero();
  for(CPPL_INT i=0; i<m; i++){
    for(CPPL_INT j=0; j<n; j++){
      for(CPPL_INT k=0; k<l; k++){
        X(i,j) += A(i,k)*B(k,j);
      }
    }
  }
  A =X;
  return A;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n>& operator*= ( zgematrix_small< m, n > &  A, const double &  v  )

inline

zgematrix_small*=double operator

Definition at line 286 of file zgematrix_small-functions.hpp.

References zgematrix_small< m, n >::array.

{CPPL_VERBOSE_REPORT;
  for(CPPL_INT k=0; k<m*n; k++){
    A.array[k] *=v;
  }
  return A;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n>& operator*= ( zgematrix_small< m, n > &  A, const comple &  v  )

inline

zgematrix_small*=comple operator

Definition at line 297 of file zgematrix_small-functions.hpp.

References zgematrix_small< m, n >::array.

{CPPL_VERBOSE_REPORT;
  for(CPPL_INT k=0; k<m*n; k++){
    A.array[k] *=v;
  }
  return A;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n>& operator/= ( zgematrix_small< m, n > &  A, const double &  v  )

inline

zgematrix_small/=double operator

Definition at line 308 of file zgematrix_small-functions.hpp.

References zgematrix_small< m, n >::array.

{CPPL_VERBOSE_REPORT;
  for(CPPL_INT k=0; k<m*n; k++){
    A.array[k] /=v;
  }
  return A;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n>& operator/= ( zgematrix_small< m, n > &  A, const comple &  v  )

inline

zgematrix_small/=comple operator

Definition at line 318 of file zgematrix_small-functions.hpp.

References zgematrix_small< m, n >::array.

{CPPL_VERBOSE_REPORT;
  for(CPPL_INT k=0; k<m*n; k++){
    A.array[k] /=v;
  }
  return A;
}

template<CPPL_INT m, CPPL_INT n>

const zgematrix_small<m,n>& operator+ ( const zgematrix_small< m, n > &  A )

inline

unary + operator

Definition at line 333 of file zgematrix_small-functions.hpp.

{CPPL_VERBOSE_REPORT;
  return A;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n> operator- ( const zgematrix_small< m, n > &  A )

inline

unary - operator

Definition at line 341 of file zgematrix_small-functions.hpp.

References i().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<m,n> X;
  for(CPPL_INT i=0; i<m; i++){
    for(CPPL_INT j=0; j<n; j++){
      X(i,j) =-A(i,j);
    }
  }
  return X;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n> operator+ ( const zgematrix_small< m, n > &  A, const zgematrix_small< m, n > &  B  )

inline

zgematrix_small+zgematrix_small operator

Definition at line 359 of file zgematrix_small-functions.hpp.

References i().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<m,n> C;
  for(int i=0; i<m; i++){
    for(int j=0; j<n; j++){
      C(i,j) =A(i,j)+B(i,j);
    }
  }
  return C;
}

template<CPPL_INT n>

zgematrix_small<n,n> operator+ ( const zgematrix_small< n, n > &  A, const zhematrix_small< n > &  B  )

inline

zgematrix_small+zhematrix_small operator

Definition at line 373 of file zgematrix_small-functions.hpp.

References i().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<n,n> X;
  for(CPPL_INT i=0; i<n; i++){
    for(CPPL_INT j=0; j<i; j++){
      X(i,j) =A(i,j)+B(i,j);
    }
    for(CPPL_INT j=i; j<n; j++){
      X(i,j) =A(i,j)+B(j,i);
    }
  }
  return X;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n> operator- ( const zgematrix_small< m, n > &  A, const zgematrix_small< m, n > &  B  )

inline

zgematrix_small-zgematrix_small operator

Definition at line 390 of file zgematrix_small-functions.hpp.

References i().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<m,n> C;
  for(int i=0; i<m; i++){
    for(int j=0; j<n; j++){
      C(i,j)=A(i,j)-B(i,j);
    }
  }
  return C;
}

template<CPPL_INT n>

zgematrix_small<n,n> operator- ( const zgematrix_small< n, n > &  A, const zhematrix_small< n > &  B  )

inline

zgematrix_small-zhematrix_small operator

Definition at line 404 of file zgematrix_small-functions.hpp.

References i().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<n,n> X;
  for(CPPL_INT i=0; i<n; i++){
    for(CPPL_INT j=0; j<=i; j++){
      X(i,j)=A(i,j)-B(i,j);
    }
    for(CPPL_INT j=i+1; j<n; j++){
      X(i,j)=A(i,j)-B(j,i);
    }
  }
  return X;
}

template<CPPL_INT m, CPPL_INT n>

zcovector_small<m> operator* ( const zgematrix_small< m, n > &  A, const zcovector_small< n > &  B  )

inline

zgematrix_small*zcovector_small operator

Definition at line 425 of file zgematrix_small-functions.hpp.

References i(), and zcovector_small< l >::zero().

{CPPL_VERBOSE_REPORT;
  zcovector_small<m> C;
  C.zero();
  for(CPPL_INT i=0; i<m; i++){
    for(CPPL_INT j=0; j<n; j++){
      C(i) +=A(i,j)*B(j);
    }
  }
  return C;
}

template<CPPL_INT m, CPPL_INT l, CPPL_INT n>

zgematrix_small<m,n> operator* ( const zgematrix_small< m, l > &  A, const zgematrix_small< l, n > &  B  )

inline

zgematrix_small*zgematrix_small operator

Definition at line 440 of file zgematrix_small-functions.hpp.

References i(), and zgematrix_small< m, n >::zero().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<m,n> C;
  C.zero();
  for(int i=0; i<m; i++){
    for(int j=0; j<n; j++){
      for(int k=0; k<l; k++){
        C(i,j) +=A(i,k)*B(k,j);
      }
    }
  }
  return C;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n> operator* ( const zgematrix_small< m, n > &  A, const zhematrix_small< n > &  B  )

inline

zgematrix_small+zhematrix_small operator

Definition at line 457 of file zgematrix_small-functions.hpp.

References i(), and zgematrix_small< m, n >::zero().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<m,n> X;
  X.zero();
  for(CPPL_INT i=0; i<m; i++){
    for(CPPL_INT j=0; j<n; j++){
      for(CPPL_INT k=0; k<j; k++){
        X(i,j) +=A(i,k)*B(j,k);
      }
      for(CPPL_INT k=j; k<n; k++){
        X(i,j) +=A(i,k)*B(k,j);
      }
    }
  }
  return X;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n> operator* ( const zgematrix_small< m, n > &  A, const double &  v  )

inline

zgematrix_small*double operator

Definition at line 477 of file zgematrix_small-functions.hpp.

References i().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<m,n> C;
  for(CPPL_INT i=0; i<m; i++){
    for(CPPL_INT j=0; j<n; j++){
      C(i,j) =A(i,j)*v;
    }
  }
  return C;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n> operator* ( const zgematrix_small< m, n > &  A, const comple &  v  )

inline

zgematrix_small*comple operator

Definition at line 491 of file zgematrix_small-functions.hpp.

References i().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<m,n> C;
  for(CPPL_INT i=0; i<m; i++){
    for(CPPL_INT j=0; j<n; j++){
      C(i,j) =A(i,j)*v;
    }
  }
  return C;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n> operator/ ( const zgematrix_small< m, n > &  A, const double &  v  )

inline

zgematrix_small/double operator

Definition at line 509 of file zgematrix_small-functions.hpp.

References i().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<m,n> C;
  for(CPPL_INT i=0; i<m; i++){
    for(CPPL_INT j=0; j<n; j++){
      C(i,j) =A(i,j)/v;
    }
  }
  return C;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n> operator/ ( const zgematrix_small< m, n > &  A, const comple &  v  )

inline

zgematrix_small/comple operator

Definition at line 523 of file zgematrix_small-functions.hpp.

References i().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<m,n> C;
  for(CPPL_INT i=0; i<m; i++){
    for(CPPL_INT j=0; j<n; j++){
      C(i,j) =A(i,j)/v;
    }
  }
  return C;
}

template<CPPL_INT m, CPPL_INT n>

zgematrix_small<m,n> hadamerd ( const zgematrix_small< m, n > &  A, const zgematrix_small< m, n > &  B  )

inline

Hadamerd product

Definition at line 541 of file zgematrix_small-functions.hpp.

References i().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<m,n> C;
  for(CPPL_INT i=0; i<m; i++){
    for(CPPL_INT j=0; j<n; j++){
      C(i,j) =A(i,j)*B(i,j);
    }
  }
  return C;
}

template<CPPL_INT n>

zgematrix_small<n,n> hadamerd ( const zgematrix_small< n, n > &  A, const zhematrix_small< n > &  B  )

inline

Hadamerd product

Definition at line 555 of file zgematrix_small-functions.hpp.

References conj(), and i().

{CPPL_VERBOSE_REPORT;
  zgematrix_small<n,n> C;
  for(CPPL_INT i=0; i<n; i++){
    for(CPPL_INT j=0; j<=i; j++){
      C(i,j) =A(i,j)*B(i,j);
    }
    for(CPPL_INT j=i+1; j<n; j++){
      C(i,j) =A(i,j)*conj(B(j,i));
    }
  }
  return C;
}