diff armadillo-2.4.4/include/armadillo_bits/fn_as_scalar.hpp @ 0:8b6102e2a9b0

Armadillo Library

--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/armadillo-2.4.4/include/armadillo_bits/fn_as_scalar.hpp	Wed Apr 11 09:27:06 2012 +0100
@@ -0,0 +1,357 @@
+// Copyright (C) 2010-2011 NICTA (www.nicta.com.au)
+// Copyright (C) 2010-2011 Conrad Sanderson
+// 
+// This file is part of the Armadillo C++ library.
+// It is provided without any warranty of fitness
+// for any purpose. You can redistribute this file
+// and/or modify it under the terms of the GNU
+// Lesser General Public License (LGPL) as published
+// by the Free Software Foundation, either version 3
+// of the License or (at your option) any later version.
+// (see http://www.opensource.org/licenses for more info)
+
+
+//! \addtogroup fn_as_scalar
+//! @{
+
+
+
+template<uword N>
+struct as_scalar_redirect
+  {
+  template<typename T1>
+  inline static typename T1::elem_type apply(const T1& X);
+  };
+
+
+
+template<>
+struct as_scalar_redirect<2>
+  {
+  template<typename T1, typename T2>
+  inline static typename T1::elem_type apply(const Glue<T1,T2,glue_times>& X);
+  };
+
+
+template<>
+struct as_scalar_redirect<3>
+  {
+  template<typename T1, typename T2, typename T3>
+  inline static typename T1::elem_type apply(const Glue< Glue<T1, T2, glue_times>, T3, glue_times>& X);
+  };
+
+
+
+template<uword N>
+template<typename T1>
+inline
+typename T1::elem_type
+as_scalar_redirect<N>::apply(const T1& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type eT;
+  
+  const unwrap<T1>   tmp(X);
+  const Mat<eT>& A = tmp.M;
+  
+  arma_debug_check( (A.n_elem != 1), "as_scalar(): expression doesn't evaluate to exactly one element" );
+  
+  return A.mem[0];
+  }
+
+
+
+template<typename T1, typename T2>
+inline
+typename T1::elem_type
+as_scalar_redirect<2>::apply(const Glue<T1, T2, glue_times>& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type eT;
+  
+  // T1 must result in a matrix with one row
+  // T2 must result in a matrix with one column
+  
+  const partial_unwrap<T1> tmp1(X.A);
+  const partial_unwrap<T2> tmp2(X.B);
+  
+  const Mat<eT>& A = tmp1.M;
+  const Mat<eT>& B = tmp2.M;
+  
+  const uword A_n_rows = (tmp1.do_trans == false) ? A.n_rows : A.n_cols;
+  const uword A_n_cols = (tmp1.do_trans == false) ? A.n_cols : A.n_rows;
+  
+  const uword B_n_rows = (tmp2.do_trans == false) ? B.n_rows : B.n_cols;
+  const uword B_n_cols = (tmp2.do_trans == false) ? B.n_cols : B.n_rows;
+  
+  const eT val = tmp1.get_val() * tmp2.get_val();
+  
+  arma_debug_check( (A_n_rows != 1) || (B_n_cols != 1) || (A_n_cols != B_n_rows), "as_scalar(): incompatible dimensions" );
+  
+  return val * op_dot::direct_dot(A.n_elem, A.mem, B.mem);
+  }
+
+
+
+template<typename T1, typename T2, typename T3>
+inline
+typename T1::elem_type
+as_scalar_redirect<3>::apply(const Glue< Glue<T1, T2, glue_times>, T3, glue_times >& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type eT;
+  
+  // T1 * T2 must result in a matrix with one row
+  // T3 must result in a matrix with one column
+  
+  typedef typename strip_inv    <T2           >::stored_type T2_stripped_1;
+  typedef typename strip_diagmat<T2_stripped_1>::stored_type T2_stripped_2;
+  
+  const strip_inv    <T2>            strip1(X.A.B);
+  const strip_diagmat<T2_stripped_1> strip2(strip1.M);
+  
+  const bool tmp2_do_inv     = strip1.do_inv;
+  const bool tmp2_do_diagmat = strip2.do_diagmat;
+  
+  if(tmp2_do_diagmat == false)
+    {
+    const Mat<eT> tmp(X);
+    
+    arma_debug_check( (tmp.n_elem != 1), "as_scalar(): expression doesn't evaluate to exactly one element" );
+    
+    return tmp[0];
+    }
+  else
+    {
+    const partial_unwrap<T1>            tmp1(X.A.A);
+    const partial_unwrap<T2_stripped_2> tmp2(strip2.M);
+    const partial_unwrap<T3>            tmp3(X.B);
+    
+    const Mat<eT>& A = tmp1.M;
+    const Mat<eT>& B = tmp2.M;
+    const Mat<eT>& C = tmp3.M;
+    
+    const uword A_n_rows = (tmp1.do_trans == false) ? A.n_rows : A.n_cols;
+    const uword A_n_cols = (tmp1.do_trans == false) ? A.n_cols : A.n_rows;
+    
+    const bool B_is_vec = B.is_vec();
+    
+    const uword B_n_rows = (B_is_vec == true) ? B.n_elem : ( (tmp2.do_trans == false) ? B.n_rows : B.n_cols );
+    const uword B_n_cols = (B_is_vec == true) ? B.n_elem : ( (tmp2.do_trans == false) ? B.n_cols : B.n_rows );
+    
+    const uword C_n_rows = (tmp3.do_trans == false) ? C.n_rows : C.n_cols;
+    const uword C_n_cols = (tmp3.do_trans == false) ? C.n_cols : C.n_rows;
+    
+    const eT val = tmp1.get_val() * tmp2.get_val() * tmp3.get_val();
+    
+    arma_debug_check
+      (
+      (A_n_rows != 1)        ||
+      (C_n_cols != 1)        ||
+      (A_n_cols != B_n_rows) ||
+      (B_n_cols != C_n_rows)
+      ,
+      "as_scalar(): incompatible dimensions"
+      );
+    
+    
+    if(B_is_vec == true)
+      {
+      if(tmp2_do_inv == true)
+        {
+        return val * op_dotext::direct_rowvec_invdiagvec_colvec(A.mem, B, C.mem);
+        }
+      else
+        {
+        return val * op_dot::direct_dot(A.n_elem, A.mem, B.mem, C.mem);
+        }
+      }
+    else
+      {
+      if(tmp2_do_inv == true)
+        {
+        return val * op_dotext::direct_rowvec_invdiagmat_colvec(A.mem, B, C.mem);
+        }
+      else
+        {
+        return val * op_dotext::direct_rowvec_diagmat_colvec(A.mem, B, C.mem);
+        }
+      }
+    }
+  }
+
+
+
+template<typename T1>
+inline
+typename T1::elem_type
+as_scalar_diag(const Base<typename T1::elem_type,T1>& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type eT;
+  
+  const unwrap<T1>   tmp(X.get_ref());
+  const Mat<eT>& A = tmp.M;
+  
+  arma_debug_check( (A.n_elem != 1), "as_scalar(): expression doesn't evaluate to exactly one element" );
+  
+  return A.mem[0];
+  }
+
+
+
+template<typename T1, typename T2, typename T3>
+inline
+typename T1::elem_type
+as_scalar_diag(const Glue< Glue<T1, T2, glue_times_diag>, T3, glue_times >& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type eT;
+  
+  // T1 * T2 must result in a matrix with one row
+  // T3 must result in a matrix with one column
+  
+  typedef typename strip_diagmat<T2>::stored_type T2_stripped;
+  
+  const strip_diagmat<T2> strip(X.A.B);
+  
+  const partial_unwrap<T1>          tmp1(X.A.A);
+  const partial_unwrap<T2_stripped> tmp2(strip.M);
+  const partial_unwrap<T3>          tmp3(X.B);
+  
+  const Mat<eT>& A = tmp1.M;
+  const Mat<eT>& B = tmp2.M;
+  const Mat<eT>& C = tmp3.M;
+  
+  
+  const uword A_n_rows = (tmp1.do_trans == false) ? A.n_rows : A.n_cols;
+  const uword A_n_cols = (tmp1.do_trans == false) ? A.n_cols : A.n_rows;
+  
+  const bool B_is_vec = B.is_vec();
+  
+  const uword B_n_rows = (B_is_vec == true) ? B.n_elem : ( (tmp2.do_trans == false) ? B.n_rows : B.n_cols );
+  const uword B_n_cols = (B_is_vec == true) ? B.n_elem : ( (tmp2.do_trans == false) ? B.n_cols : B.n_rows );
+  
+  const uword C_n_rows = (tmp3.do_trans == false) ? C.n_rows : C.n_cols;
+  const uword C_n_cols = (tmp3.do_trans == false) ? C.n_cols : C.n_rows;
+  
+  const eT val = tmp1.get_val() * tmp2.get_val() * tmp3.get_val();
+  
+  arma_debug_check
+    (
+    (A_n_rows != 1)        ||
+    (C_n_cols != 1)        ||
+    (A_n_cols != B_n_rows) ||
+    (B_n_cols != C_n_rows)
+    ,
+    "as_scalar(): incompatible dimensions"
+    );
+  
+  
+  if(B_is_vec == true)
+    {
+    return val * op_dot::direct_dot(A.n_elem, A.mem, B.mem, C.mem);
+    }
+  else
+    {
+    return val * op_dotext::direct_rowvec_diagmat_colvec(A.mem, B, C.mem);
+    }
+  }
+
+
+
+template<typename T1, typename T2>
+arma_inline
+arma_warn_unused
+typename T1::elem_type
+as_scalar(const Glue<T1, T2, glue_times>& X, const typename arma_not_cx<typename T1::elem_type>::result* junk = 0)
+  {
+  arma_extra_debug_sigprint();
+  arma_ignore(junk);
+  
+  if(is_glue_times_diag<T1>::value == false)
+    {
+    const sword N_mat = 1 + depth_lhs< glue_times, Glue<T1,T2,glue_times> >::num;
+    
+    arma_extra_debug_print(arma_boost::format("N_mat = %d") % N_mat);
+    
+    return as_scalar_redirect<N_mat>::apply(X);
+    }
+  else
+    {
+    return as_scalar_diag(X);
+    }
+  }
+
+
+
+template<typename T1>
+inline
+arma_warn_unused
+typename T1::elem_type
+as_scalar(const Base<typename T1::elem_type,T1>& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type eT;
+  
+  const unwrap<T1>   tmp(X.get_ref());
+  const Mat<eT>& A = tmp.M;
+  
+  arma_debug_check( (A.n_elem != 1), "as_scalar(): expression doesn't evaluate to exactly one element" );
+  
+  return A.mem[0];
+  }
+
+
+
+template<typename T1>
+arma_inline
+arma_warn_unused
+typename T1::elem_type
+as_scalar(const eOp<T1, eop_neg>& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  return -(as_scalar(X.P.Q));
+  }
+
+
+
+template<typename T1>
+inline
+arma_warn_unused
+typename T1::elem_type
+as_scalar(const BaseCube<typename T1::elem_type,T1>& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type eT;
+  
+  const unwrap_cube<T1> tmp(X.get_ref());
+  const Cube<eT>& A   = tmp.M;
+  
+  arma_debug_check( (A.n_elem != 1), "as_scalar(): expression doesn't evaluate to exactly one element" );
+  
+  return A.mem[0];
+  }
+
+
+
+template<typename T>
+arma_inline
+arma_warn_unused
+const typename arma_scalar_only<T>::result &
+as_scalar(const T& x)
+  {
+  return x;
+  }
+
+
+
+//! @}