Move into version control

1 files changed, 178 insertions, 0 deletions

diff --git a/src/armadillo/include/armadillo_bits/op_det_meat.hpp b/src/armadillo/include/armadillo_bits/op_det_meat.hpp
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+++ b/src/armadillo/include/armadillo_bits/op_det_meat.hpp
@@ -0,0 +1,178 @@
+// 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_det
+//! @{
+
+
+
+template<typename T1>
+inline
+bool
+op_det::apply_direct(typename T1::elem_type& out_val, const Base<typename T1::elem_type,T1>& expr)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type eT;
+  typedef typename T1::pod_type   T;
+  
+  if(strip_diagmat<T1>::do_diagmat)
+    {
+    const strip_diagmat<T1> strip(expr.get_ref());
+    
+    out_val = op_det::apply_diagmat(strip.M);
+    
+    return true;
+    }
+  
+  if(strip_trimat<T1>::do_trimat)
+    {
+    const strip_trimat<T1> strip(expr.get_ref());
+    
+    out_val = op_det::apply_trimat(strip.M);
+    
+    return true;
+    }
+  
+  Mat<eT> A(expr.get_ref());
+  
+  arma_debug_check( (A.is_square() == false), "det(): given matrix must be square sized" );
+  
+  const uword N = A.n_rows;
+  
+  if(N == 0)  { out_val = eT(1); return true; }
+  if(N == 1)  { out_val =  A[0]; return true; }
+  
+  if((is_cx<eT>::no) && (N <= 3))
+    {
+    constexpr T det_min =        std::numeric_limits<T>::epsilon();
+    constexpr T det_max = T(1) / std::numeric_limits<T>::epsilon();
+    
+    eT det_val = eT(0);
+    
+    if(N == 2)  { det_val = op_det::apply_tiny_2x2(A); }
+    if(N == 3)  { det_val = op_det::apply_tiny_3x3(A); }
+    
+    const T abs_det_val = std::abs(det_val);
+    
+    if((abs_det_val > det_min) && (abs_det_val < det_max))  { out_val = det_val; return true; }
+    
+    // fallthrough if det_val is suspect
+    }
+  
+  if(A.is_diagmat())  { out_val = op_det::apply_diagmat(A); return true; }
+  
+  const bool is_triu =                   trimat_helper::is_triu(A);
+  const bool is_tril = is_triu ? false : trimat_helper::is_tril(A);
+  
+  if(is_triu || is_tril)  { out_val = op_det::apply_trimat(A); return true; }
+  
+  return auxlib::det(out_val, A);
+  }
+
+
+
+template<typename T1>
+inline
+typename T1::elem_type
+op_det::apply_diagmat(const Base<typename T1::elem_type,T1>& expr)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type eT;
+  
+  const diagmat_proxy<T1> A(expr.get_ref());
+  
+  arma_debug_check( (A.n_rows != A.n_cols), "det(): given matrix must be square sized" );
+  
+  const uword N = (std::min)(A.n_rows, A.n_cols);
+  
+  eT val = eT(1);
+  
+  for(uword i=0; i<N; ++i)  { val *= A[i]; }
+  
+  return val;
+  }
+
+
+
+template<typename T1>
+inline
+typename T1::elem_type
+op_det::apply_trimat(const Base<typename T1::elem_type,T1>& expr)
+  {
+  arma_extra_debug_sigprint();
+  
+  typedef typename T1::elem_type eT;
+  
+  const Proxy<T1> P(expr.get_ref());
+  
+  const uword N = P.get_n_rows();
+  
+  arma_debug_check( (N != P.get_n_cols()), "det(): given matrix must be square sized" );
+  
+  eT val = eT(1);
+  
+  for(uword i=0; i<N; ++i)  { val *= P.at(i,i); }
+  
+  return val;
+  }
+
+
+
+template<typename eT>
+inline
+eT
+op_det::apply_tiny_2x2(const Mat<eT>& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  const eT* Xm = X.memptr();
+  
+  return ( Xm[pos<0,0>::n2]*Xm[pos<1,1>::n2] - Xm[pos<0,1>::n2]*Xm[pos<1,0>::n2] );
+  }
+
+
+
+template<typename eT>
+inline
+eT
+op_det::apply_tiny_3x3(const Mat<eT>& X)
+  {
+  arma_extra_debug_sigprint();
+  
+  const eT* Xm = X.memptr();
+  
+  // const double tmp1 = X.at(0,0) * X.at(1,1) * X.at(2,2);
+  // const double tmp2 = X.at(0,1) * X.at(1,2) * X.at(2,0);
+  // const double tmp3 = X.at(0,2) * X.at(1,0) * X.at(2,1);
+  // const double tmp4 = X.at(2,0) * X.at(1,1) * X.at(0,2);
+  // const double tmp5 = X.at(2,1) * X.at(1,2) * X.at(0,0);
+  // const double tmp6 = X.at(2,2) * X.at(1,0) * X.at(0,1);
+  // return (tmp1+tmp2+tmp3) - (tmp4+tmp5+tmp6);
+  
+  const eT val1 = Xm[pos<0,0>::n3]*(Xm[pos<2,2>::n3]*Xm[pos<1,1>::n3] - Xm[pos<2,1>::n3]*Xm[pos<1,2>::n3]);
+  const eT val2 = Xm[pos<1,0>::n3]*(Xm[pos<2,2>::n3]*Xm[pos<0,1>::n3] - Xm[pos<2,1>::n3]*Xm[pos<0,2>::n3]);
+  const eT val3 = Xm[pos<2,0>::n3]*(Xm[pos<1,2>::n3]*Xm[pos<0,1>::n3] - Xm[pos<1,1>::n3]*Xm[pos<0,2>::n3]);
+  
+  return ( val1 - val2 + val3 );
+  }
+
+
+
+//! @}