1 files changed, 713 insertions, 0 deletions
diff --git a/src/armadillo/include/armadillo_bits/op_mean_meat.hpp b/src/armadillo/include/armadillo_bits/op_mean_meat.hpp
new file mode 100644
index 0000000..7e7a49d
--- /dev/null
+++ b/src/armadillo/include/armadillo_bits/op_mean_meat.hpp
@@ -0,0 +1,713 @@
+// SPDX-License-Identifier: Apache-2.0
+// 
+// Copyright 2008-2016 Conrad Sanderson (http://conradsanderson.id.au)
+// Copyright 2008-2016 National ICT Australia (NICTA)
+// 
+// Licensed under the Apache License, Version 2.0 (the "License");
+// you may not use this file except in compliance with the License.
+// You may obtain a copy of the License at
+// http://www.apache.org/licenses/LICENSE-2.0
+// 
+// Unless required by applicable law or agreed to in writing, software
+// distributed under the License is distributed on an "AS IS" BASIS,
+// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
+// See the License for the specific language governing permissions and
+// limitations under the License.
+// ------------------------------------------------------------------------
+
+
+//! \addtogroup op_mean
+//! @{
+
+
+
+template<typename T1>
+inline
+void
+op_mean::apply(Mat<typename T1::elem_type>& out, const Op<T1,op_mean>& in)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type eT;
+  
+  const uword dim = in.aux_uword_a;
+  arma_debug_check( (dim > 1), "mean(): parameter 'dim' must be 0 or 1" );
+  
+  const Proxy<T1> P(in.m);
+  
+  if(P.is_alias(out) == false)
+    {
+    op_mean::apply_noalias(out, P, dim);
+    }
+  else
+    {
+    Mat<eT> tmp;
+    
+    op_mean::apply_noalias(tmp, P, dim);
+    
+    out.steal_mem(tmp);
+    }
+  }
+
+
+
+template<typename T1>
+inline
+void
+op_mean::apply_noalias(Mat<typename T1::elem_type>& out, const Proxy<T1>& P, const uword dim)
+  {
+  arma_extra_debug_sigprint();
+  
+  if(is_Mat<typename Proxy<T1>::stored_type>::value)
+    {
+    op_mean::apply_noalias_unwrap(out, P, dim);
+    }
+  else
+    {
+    op_mean::apply_noalias_proxy(out, P, dim);
+    }
+  }
+
+
+
+template<typename T1>
+inline
+void
+op_mean::apply_noalias_unwrap(Mat<typename T1::elem_type>& out, const Proxy<T1>& P, const uword dim)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type            eT;
+  typedef typename get_pod_type<eT>::result  T;
+  
+  typedef typename Proxy<T1>::stored_type P_stored_type;
+  
+  const unwrap<P_stored_type> tmp(P.Q);
+  
+  const typename unwrap<P_stored_type>::stored_type& X = tmp.M;
+  
+  const uword X_n_rows = X.n_rows;
+  const uword X_n_cols = X.n_cols;
+  
+  if(dim == 0)
+    {
+    out.set_size((X_n_rows > 0) ? 1 : 0, X_n_cols);
+    
+    if(X_n_rows == 0)  { return; }
+    
+    eT* out_mem = out.memptr();
+    
+    for(uword col=0; col < X_n_cols; ++col)
+      {
+      out_mem[col] = op_mean::direct_mean( X.colptr(col), X_n_rows );
+      }
+    }
+  else
+  if(dim == 1)
+    {
+    out.zeros(X_n_rows, (X_n_cols > 0) ? 1 : 0);
+    
+    if(X_n_cols == 0)  { return; }
+    
+    eT* out_mem = out.memptr();
+    
+    for(uword col=0; col < X_n_cols; ++col)
+      {
+      const eT* col_mem = X.colptr(col);
+      
+      for(uword row=0; row < X_n_rows; ++row)
+        {
+        out_mem[row] += col_mem[row];
+        }
+      }
+    
+    out /= T(X_n_cols);
+    
+    for(uword row=0; row < X_n_rows; ++row)
+      {
+      if(arma_isfinite(out_mem[row]) == false)
+        {
+        out_mem[row] = op_mean::direct_mean_robust( X, row );
+        }
+      }
+    }
+  }
+
+
+
+template<typename T1>
+inline
+void
+op_mean::apply_noalias_proxy(Mat<typename T1::elem_type>& out, const Proxy<T1>& P, const uword dim)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type            eT;
+  typedef typename get_pod_type<eT>::result  T;
+  
+  const uword P_n_rows = P.get_n_rows();
+  const uword P_n_cols = P.get_n_cols();
+  
+  if(dim == 0)
+    {
+    out.set_size((P_n_rows > 0) ? 1 : 0, P_n_cols);
+    
+    if(P_n_rows == 0)  { return; }
+    
+    eT* out_mem = out.memptr();
+    
+    for(uword col=0; col < P_n_cols; ++col)
+      {
+      eT val1 = eT(0);
+      eT val2 = eT(0);
+      
+      uword i,j;
+      for(i=0, j=1; j < P_n_rows; i+=2, j+=2)
+        {
+        val1 += P.at(i,col);
+        val2 += P.at(j,col);
+        }
+      
+      if(i < P_n_rows)
+        {
+        val1 += P.at(i,col);
+        }
+      
+      out_mem[col] = (val1 + val2) / T(P_n_rows);
+      }
+    }
+  else
+  if(dim == 1)
+    {
+    out.zeros(P_n_rows, (P_n_cols > 0) ? 1 : 0);
+    
+    if(P_n_cols == 0)  { return; }
+    
+    eT* out_mem = out.memptr();
+    
+    for(uword col=0; col < P_n_cols; ++col)
+    for(uword row=0; row < P_n_rows; ++row)
+      {
+      out_mem[row] += P.at(row,col);
+      }
+    
+    out /= T(P_n_cols);
+    }
+  
+  if(out.internal_has_nonfinite())
+    {
+    // TODO: replace with dedicated handling to avoid unwrapping
+    op_mean::apply_noalias_unwrap(out, P, dim);
+    }
+  }
+
+
+
+//
+// cubes
+
+
+
+template<typename T1>
+inline
+void
+op_mean::apply(Cube<typename T1::elem_type>& out, const OpCube<T1,op_mean>& in)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type eT;
+  
+  const uword dim = in.aux_uword_a;
+  arma_debug_check( (dim > 2), "mean(): parameter 'dim' must be 0 or 1 or 2" );
+  
+  const ProxyCube<T1> P(in.m);
+  
+  if(P.is_alias(out) == false)
+    {
+    op_mean::apply_noalias(out, P, dim);
+    }
+  else
+    {
+    Cube<eT> tmp;
+    
+    op_mean::apply_noalias(tmp, P, dim);
+    
+    out.steal_mem(tmp);
+    }
+  }
+
+
+
+template<typename T1>
+inline
+void
+op_mean::apply_noalias(Cube<typename T1::elem_type>& out, const ProxyCube<T1>& P, const uword dim)
+  {
+  arma_extra_debug_sigprint();
+  
+  if(is_Cube<typename ProxyCube<T1>::stored_type>::value)
+    {
+    op_mean::apply_noalias_unwrap(out, P, dim);
+    }
+  else
+    {
+    op_mean::apply_noalias_proxy(out, P, dim);
+    }
+  }
+
+
+
+template<typename T1>
+inline
+void
+op_mean::apply_noalias_unwrap(Cube<typename T1::elem_type>& out, const ProxyCube<T1>& P, const uword dim)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type            eT;
+  typedef typename get_pod_type<eT>::result  T;
+  
+  typedef typename ProxyCube<T1>::stored_type P_stored_type;
+  
+  const unwrap_cube<P_stored_type> U(P.Q);
+  
+  const Cube<eT>& X = U.M;
+  
+  const uword X_n_rows   = X.n_rows;
+  const uword X_n_cols   = X.n_cols;
+  const uword X_n_slices = X.n_slices;
+  
+  if(dim == 0)
+    {
+    out.set_size((X_n_rows > 0) ? 1 : 0, X_n_cols, X_n_slices);
+    
+    if(X_n_rows == 0)  { return; }
+    
+    for(uword slice=0; slice < X_n_slices; ++slice)
+      {
+      eT* out_mem = out.slice_memptr(slice);
+      
+      for(uword col=0; col < X_n_cols; ++col)
+        {
+        out_mem[col] = op_mean::direct_mean( X.slice_colptr(slice,col), X_n_rows );
+        }
+      }
+    }
+  else
+  if(dim == 1)
+    {
+    out.zeros(X_n_rows, (X_n_cols > 0) ? 1 : 0, X_n_slices);
+    
+    if(X_n_cols == 0)  { return; }
+    
+    for(uword slice=0; slice < X_n_slices; ++slice)
+      {
+      eT* out_mem = out.slice_memptr(slice);
+      
+      for(uword col=0; col < X_n_cols; ++col)
+        {
+        const eT* col_mem = X.slice_colptr(slice,col);
+        
+        for(uword row=0; row < X_n_rows; ++row)
+          {
+          out_mem[row] += col_mem[row];
+          }
+        }
+      
+      const Mat<eT> tmp('j', X.slice_memptr(slice), X_n_rows, X_n_cols);
+      
+      for(uword row=0; row < X_n_rows; ++row)
+        {
+        out_mem[row] /= T(X_n_cols);
+        
+        if(arma_isfinite(out_mem[row]) == false)
+          {
+          out_mem[row] = op_mean::direct_mean_robust( tmp, row );
+          }
+        }
+      }
+    }
+  else
+  if(dim == 2)
+    {
+    out.zeros(X_n_rows, X_n_cols, (X_n_slices > 0) ? 1 : 0);
+    
+    if(X_n_slices == 0)  { return; }
+    
+    eT* out_mem = out.memptr();
+    
+    for(uword slice=0; slice < X_n_slices; ++slice)
+      {
+      arrayops::inplace_plus(out_mem, X.slice_memptr(slice), X.n_elem_slice );
+      }
+    
+    out /= T(X_n_slices);
+    
+    podarray<eT> tmp(X_n_slices);
+      
+    for(uword col=0; col < X_n_cols; ++col)
+    for(uword row=0; row < X_n_rows; ++row)
+      {
+      if(arma_isfinite(out.at(row,col,0)) == false)
+        {
+        for(uword slice=0; slice < X_n_slices; ++slice)
+          {
+          tmp[slice] = X.at(row,col,slice);
+          }
+        
+        out.at(row,col,0) = op_mean::direct_mean_robust(tmp.memptr(), X_n_slices);
+        }
+      }
+    }
+  }
+
+
+
+template<typename T1>
+inline
+void
+op_mean::apply_noalias_proxy(Cube<typename T1::elem_type>& out, const ProxyCube<T1>& P, const uword dim)
+  {
+  arma_extra_debug_sigprint();
+  
+  op_mean::apply_noalias_unwrap(out, P, dim);
+  
+  // TODO: implement specialised handling
+  }
+
+
+
+
+//
+
+
+
+template<typename eT>
+inline
+eT
+op_mean::direct_mean(const eT* const X, const uword n_elem)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename get_pod_type<eT>::result T;
+  
+  const eT result = arrayops::accumulate(X, n_elem) / T(n_elem);
+  
+  return arma_isfinite(result) ? result : op_mean::direct_mean_robust(X, n_elem);
+  }
+
+
+
+template<typename eT>
+inline
+eT
+op_mean::direct_mean_robust(const eT* const X, const uword n_elem)
+  {
+  arma_extra_debug_sigprint();
+  
+  // use an adapted form of the mean finding algorithm from the running_stat class
+  
+  typedef typename get_pod_type<eT>::result T;
+  
+  uword i,j;
+  
+  eT r_mean = eT(0);
+  
+  for(i=0, j=1; j<n_elem; i+=2, j+=2)
+    {
+    const eT Xi = X[i];
+    const eT Xj = X[j];
+    
+    r_mean = r_mean + (Xi - r_mean)/T(j);    // we need i+1, and j is equivalent to i+1 here
+    r_mean = r_mean + (Xj - r_mean)/T(j+1);
+    }
+  
+  
+  if(i < n_elem)
+    {
+    const eT Xi = X[i];
+    
+    r_mean = r_mean + (Xi - r_mean)/T(i+1);
+    }
+  
+  return r_mean;
+  }
+
+
+
+template<typename eT>
+inline
+eT
+op_mean::direct_mean(const Mat<eT>& X, const uword row)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename get_pod_type<eT>::result T;
+  
+  const uword X_n_cols = X.n_cols;
+  
+  eT val = eT(0);
+  
+  uword i,j;
+  for(i=0, j=1; j < X_n_cols; i+=2, j+=2)
+    {
+    val += X.at(row,i);
+    val += X.at(row,j);
+    }
+  
+  if(i < X_n_cols)
+    {
+    val += X.at(row,i);
+    }
+  
+  const eT result = val / T(X_n_cols);
+  
+  return arma_isfinite(result) ? result : op_mean::direct_mean_robust(X, row);
+  }
+
+
+
+template<typename eT>
+inline
+eT
+op_mean::direct_mean_robust(const Mat<eT>& X, const uword row)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename get_pod_type<eT>::result T;
+  
+  const uword X_n_cols = X.n_cols;
+  
+  eT r_mean = eT(0);
+  
+  for(uword col=0; col < X_n_cols; ++col)
+    {
+    r_mean = r_mean + (X.at(row,col) - r_mean)/T(col+1);
+    }
+  
+  return r_mean;
+  }
+
+
+
+template<typename eT>
+inline
+eT
+op_mean::mean_all(const subview<eT>& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename get_pod_type<eT>::result T;
+  
+  const uword X_n_rows = X.n_rows;
+  const uword X_n_cols = X.n_cols;
+  const uword X_n_elem = X.n_elem;
+  
+  if(X_n_elem == 0)
+    {
+    arma_debug_check(true, "mean(): object has no elements");
+    
+    return Datum<eT>::nan;
+    }
+  
+  eT val = eT(0);
+  
+  if(X_n_rows == 1)
+    {
+    const Mat<eT>& A = X.m;
+    
+    const uword start_row = X.aux_row1;
+    const uword start_col = X.aux_col1;
+    
+    const uword end_col_p1 = start_col + X_n_cols;
+    
+    uword i,j;
+    for(i=start_col, j=start_col+1; j < end_col_p1; i+=2, j+=2)
+      {
+      val += A.at(start_row, i);
+      val += A.at(start_row, j);
+      }
+    
+    if(i < end_col_p1)
+      {
+      val += A.at(start_row, i);
+      }
+    }
+  else
+    {
+    for(uword col=0; col < X_n_cols; ++col)
+      {
+      val += arrayops::accumulate(X.colptr(col), X_n_rows);
+      }
+    }
+  
+  const eT result = val / T(X_n_elem);
+  
+  return arma_isfinite(result) ? result : op_mean::mean_all_robust(X);
+  }
+
+
+
+template<typename eT>
+inline 
+eT
+op_mean::mean_all_robust(const subview<eT>& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename get_pod_type<eT>::result T;
+  
+  const uword X_n_rows = X.n_rows;
+  const uword X_n_cols = X.n_cols;
+  
+  const uword start_row = X.aux_row1;
+  const uword start_col = X.aux_col1;
+  
+  const uword end_row_p1 = start_row + X_n_rows;
+  const uword end_col_p1 = start_col + X_n_cols;
+  
+  const Mat<eT>& A = X.m;
+  
+  
+  eT r_mean = eT(0);
+  
+  if(X_n_rows == 1)
+    {
+    uword i=0;
+    
+    for(uword col = start_col; col < end_col_p1; ++col, ++i)
+      {
+      r_mean = r_mean + (A.at(start_row,col) - r_mean)/T(i+1);
+      }
+    }
+  else
+    {
+    uword i=0;
+    
+    for(uword col = start_col; col < end_col_p1; ++col)
+    for(uword row = start_row; row < end_row_p1; ++row, ++i)
+      {
+      r_mean = r_mean + (A.at(row,col) - r_mean)/T(i+1);
+      }
+    }
+  
+  return r_mean;
+  }
+
+
+
+template<typename eT>
+inline 
+eT
+op_mean::mean_all(const diagview<eT>& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename get_pod_type<eT>::result T;
+  
+  const uword X_n_elem = X.n_elem;
+  
+  if(X_n_elem == 0)
+    {
+    arma_debug_check(true, "mean(): object has no elements");
+    
+    return Datum<eT>::nan;
+    }
+  
+  eT val = eT(0);
+  
+  for(uword i=0; i<X_n_elem; ++i)
+    {
+    val += X[i];
+    }
+  
+  const eT result = val / T(X_n_elem);
+  
+  return arma_isfinite(result) ? result : op_mean::mean_all_robust(X);
+  }
+
+
+
+template<typename eT>
+inline 
+eT
+op_mean::mean_all_robust(const diagview<eT>& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename get_pod_type<eT>::result T;
+  
+  const uword X_n_elem = X.n_elem;
+  
+  eT r_mean = eT(0);
+  
+  for(uword i=0; i<X_n_elem; ++i)
+    {
+    r_mean = r_mean + (X[i] - r_mean)/T(i+1);
+    }
+  
+  return r_mean;
+  }
+
+
+
+template<typename T1>
+inline
+typename T1::elem_type 
+op_mean::mean_all(const Op<T1,op_vectorise_col>& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  return op_mean::mean_all(X.m);
+  }
+
+
+
+template<typename T1>
+inline
+typename T1::elem_type 
+op_mean::mean_all(const Base<typename T1::elem_type, T1>& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type eT;
+  
+  const quasi_unwrap<T1> tmp(X.get_ref());
+  const Mat<eT>&     A = tmp.M;
+  
+  const uword A_n_elem = A.n_elem;
+  
+  if(A_n_elem == 0)
+    {
+    arma_debug_check(true, "mean(): object has no elements");
+    
+    return Datum<eT>::nan;
+    }
+  
+  return op_mean::direct_mean(A.memptr(), A_n_elem);
+  }
+
+
+
+template<typename eT>
+arma_inline
+eT
+op_mean::robust_mean(const eT A, const eT B)
+  {
+  return A + (B - A)/eT(2);
+  }
+
+
+
+template<typename T>
+arma_inline
+std::complex<T>
+op_mean::robust_mean(const std::complex<T>& A, const std::complex<T>& B)
+  {
+  return A + (B - A)/T(2);
+  }
+
+
+
+//! @}
+