715 lines
16 KiB
C++
715 lines
16 KiB
C++
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// Copyright (C) 2012-2015 National ICT Australia (NICTA)
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//
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// This Source Code Form is subject to the terms of the Mozilla Public
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// License, v. 2.0. If a copy of the MPL was not distributed with this
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// file, You can obtain one at http://mozilla.org/MPL/2.0/.
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// -------------------------------------------------------------------
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//
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// Written by Conrad Sanderson - http://conradsanderson.id.au
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// Written by Ryan Curtin
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//! \addtogroup spop_min
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//! @{
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template<typename T1>
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inline
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void
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spop_min::apply(SpMat<typename T1::elem_type>& out, const SpOp<T1,spop_min>& in)
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{
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arma_extra_debug_sigprint();
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const uword dim = in.aux_uword_a;
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arma_debug_check( (dim > 1), "min(): parameter 'dim' must be 0 or 1" );
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const SpProxy<T1> p(in.m);
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const uword p_n_rows = p.get_n_rows();
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const uword p_n_cols = p.get_n_cols();
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if( (p_n_rows == 0) || (p_n_cols == 0) || (p.get_n_nonzero() == 0) )
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{
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if(dim == 0) { out.zeros((p_n_rows > 0) ? 1 : 0, p_n_cols); }
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if(dim == 1) { out.zeros(p_n_rows, (p_n_cols > 0) ? 1 : 0); }
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return;
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}
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spop_min::apply_proxy(out, p, dim);
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}
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template<typename T1>
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inline
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void
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spop_min::apply_proxy
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(
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SpMat<typename T1::elem_type>& out,
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const SpProxy<T1>& p,
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const uword dim,
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const typename arma_not_cx<typename T1::elem_type>::result* junk
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)
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{
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arma_extra_debug_sigprint();
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arma_ignore(junk);
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typedef typename T1::elem_type eT;
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typename SpProxy<T1>::const_iterator_type it = p.begin();
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typename SpProxy<T1>::const_iterator_type it_end = p.end();
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const uword p_n_cols = p.get_n_cols();
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const uword p_n_rows = p.get_n_rows();
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if(dim == 0) // find the minimum in each column
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{
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Row<eT> value(p_n_cols, fill::zeros);
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urowvec count(p_n_cols, fill::zeros);
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while(it != it_end)
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{
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const uword col = it.col();
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value[col] = (count[col] == 0) ? (*it) : (std::min)(value[col], (*it));
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count[col]++;
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++it;
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}
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for(uword col=0; col<p_n_cols; ++col)
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{
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if(count[col] < p_n_rows) { value[col] = (std::min)(value[col], eT(0)); }
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}
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out = value;
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}
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else
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if(dim == 1) // find the minimum in each row
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{
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Col<eT> value(p_n_rows, fill::zeros);
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ucolvec count(p_n_rows, fill::zeros);
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while(it != it_end)
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{
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const uword row = it.row();
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value[row] = (count[row] == 0) ? (*it) : (std::min)(value[row], (*it));
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count[row]++;
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++it;
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}
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for(uword row=0; row<p_n_rows; ++row)
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{
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if(count[row] < p_n_cols) { value[row] = (std::min)(value[row], eT(0)); }
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}
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out = value;
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}
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}
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template<typename T1>
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inline
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typename T1::elem_type
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spop_min::vector_min
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(
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const T1& x,
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const typename arma_not_cx<typename T1::elem_type>::result* junk
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)
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{
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arma_extra_debug_sigprint();
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arma_ignore(junk);
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typedef typename T1::elem_type eT;
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const SpProxy<T1> p(x);
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if(p.get_n_elem() == 0)
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{
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arma_debug_check(true, "min(): object has no elements");
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return Datum<eT>::nan;
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}
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if(p.get_n_nonzero() == 0) { return eT(0); }
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if(SpProxy<T1>::must_use_iterator == false)
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{
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// direct access of values
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if(p.get_n_nonzero() == p.get_n_elem())
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{
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return op_min::direct_min(p.get_values(), p.get_n_nonzero());
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}
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else
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{
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return std::min(eT(0), op_min::direct_min(p.get_values(), p.get_n_nonzero()));
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}
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}
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else
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{
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// use iterator
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typename SpProxy<T1>::const_iterator_type it = p.begin();
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typename SpProxy<T1>::const_iterator_type it_end = p.end();
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eT result = (*it);
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++it;
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while(it != it_end)
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{
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if((*it) < result) { result = (*it); }
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++it;
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}
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if(p.get_n_nonzero() == p.get_n_elem())
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{
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return result;
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}
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else
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{
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return std::min(eT(0), result);
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}
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}
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}
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template<typename T1>
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inline
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typename arma_not_cx<typename T1::elem_type>::result
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spop_min::min(const SpBase<typename T1::elem_type, T1>& X)
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{
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arma_extra_debug_sigprint();
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typedef typename T1::elem_type eT;
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const SpProxy<T1> P(X.get_ref());
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const uword n_elem = P.get_n_elem();
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const uword n_nonzero = P.get_n_nonzero();
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if(n_elem == 0)
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{
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arma_debug_check(true, "min(): object has no elements");
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return Datum<eT>::nan;
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}
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eT min_val = priv::most_pos<eT>();
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if(SpProxy<T1>::must_use_iterator)
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{
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// We have to iterate over the elements.
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typedef typename SpProxy<T1>::const_iterator_type it_type;
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it_type it = P.begin();
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it_type it_end = P.end();
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while (it != it_end)
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{
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if ((*it) < min_val) { min_val = *it; }
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++it;
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}
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}
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else
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{
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// We can do direct access of the values, row_indices, and col_ptrs.
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// We don't need the location of the min value, so we can just call out to
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// other functions...
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min_val = op_min::direct_min(P.get_values(), n_nonzero);
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}
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if(n_elem == n_nonzero)
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{
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return min_val;
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}
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else
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{
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return std::min(eT(0), min_val);
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}
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}
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template<typename T1>
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inline
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typename arma_not_cx<typename T1::elem_type>::result
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spop_min::min_with_index(const SpProxy<T1>& P, uword& index_of_min_val)
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{
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arma_extra_debug_sigprint();
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typedef typename T1::elem_type eT;
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const uword n_elem = P.get_n_elem();
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const uword n_nonzero = P.get_n_nonzero();
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const uword n_rows = P.get_n_rows();
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if(n_elem == 0)
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{
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arma_debug_check(true, "min(): object has no elements");
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return Datum<eT>::nan;
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}
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eT min_val = priv::most_pos<eT>();
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if(SpProxy<T1>::must_use_iterator)
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{
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// We have to iterate over the elements.
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typedef typename SpProxy<T1>::const_iterator_type it_type;
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it_type it = P.begin();
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it_type it_end = P.end();
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while (it != it_end)
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{
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if ((*it) < min_val)
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{
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min_val = *it;
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index_of_min_val = it.row() + it.col() * n_rows;
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}
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++it;
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}
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}
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else
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{
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// We can do direct access.
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min_val = op_min::direct_min(P.get_values(), n_nonzero, index_of_min_val);
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// Convert to actual position in matrix.
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const uword row = P.get_row_indices()[index_of_min_val];
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uword col = 0;
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while (P.get_col_ptrs()[++col] < index_of_min_val + 1) { }
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index_of_min_val = (col - 1) * n_rows + row;
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}
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if(n_elem != n_nonzero)
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{
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min_val = std::min(eT(0), min_val);
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// If the min_val is a nonzero element, we need its actual position in the matrix.
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if(min_val == eT(0))
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{
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// Find first zero element.
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uword last_row = 0;
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uword last_col = 0;
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typedef typename SpProxy<T1>::const_iterator_type it_type;
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it_type it = P.begin();
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it_type it_end = P.end();
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while (it != it_end)
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{
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// Have we moved more than one position from the last place?
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if ((it.col() == last_col) && (it.row() - last_row > 1))
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{
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index_of_min_val = it.col() * n_rows + last_row + 1;
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break;
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}
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else if ((it.col() >= last_col + 1) && (last_row < n_rows - 1))
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{
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index_of_min_val = last_col * n_rows + last_row + 1;
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break;
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}
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else if ((it.col() == last_col + 1) && (it.row() > 0))
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{
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index_of_min_val = it.col() * n_rows;
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break;
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}
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else if (it.col() > last_col + 1)
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{
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index_of_min_val = (last_col + 1) * n_rows;
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break;
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}
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last_row = it.row();
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last_col = it.col();
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++it;
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}
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}
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}
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return min_val;
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}
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template<typename T1>
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inline
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void
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spop_min::apply_proxy
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(
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SpMat<typename T1::elem_type>& out,
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const SpProxy<T1>& p,
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const uword dim,
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const typename arma_cx_only<typename T1::elem_type>::result* junk
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)
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{
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arma_extra_debug_sigprint();
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arma_ignore(junk);
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typedef typename T1::elem_type eT;
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typedef typename get_pod_type<eT>::result T;
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typename SpProxy<T1>::const_iterator_type it = p.begin();
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typename SpProxy<T1>::const_iterator_type it_end = p.end();
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const uword p_n_cols = p.get_n_cols();
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const uword p_n_rows = p.get_n_rows();
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if(dim == 0) // find the minimum in each column
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{
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Row<eT> rawval(p_n_cols, fill::zeros);
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Row< T> absval(p_n_cols, fill::zeros);
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urowvec count(p_n_cols, fill::zeros);
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while(it != it_end)
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{
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const uword col = it.col();
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const eT& v = (*it);
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const T a = std::abs(v);
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if(count[col] == 0)
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{
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absval[col] = a;
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rawval[col] = v;
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}
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else
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{
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if(a < absval[col])
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{
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absval[col] = a;
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rawval[col] = v;
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}
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}
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count[col]++;
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++it;
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}
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for(uword col=0; col < p_n_cols; ++col)
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{
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||
|
|
if(count[col] < p_n_rows)
|
||
|
|
{
|
||
|
|
if(T(0) < absval[col]) { rawval[col] = eT(0); }
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
out = rawval;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
if(dim == 1) // find the minimum in each row
|
||
|
|
{
|
||
|
|
Col<eT> rawval(p_n_rows, fill::zeros);
|
||
|
|
Col< T> absval(p_n_rows, fill::zeros);
|
||
|
|
ucolvec count(p_n_rows, fill::zeros);
|
||
|
|
|
||
|
|
while(it != it_end)
|
||
|
|
{
|
||
|
|
const uword row = it.row();
|
||
|
|
|
||
|
|
const eT& v = (*it);
|
||
|
|
const T a = std::abs(v);
|
||
|
|
|
||
|
|
if(count[row] == 0)
|
||
|
|
{
|
||
|
|
absval[row] = a;
|
||
|
|
rawval[row] = v;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
if(a < absval[row])
|
||
|
|
{
|
||
|
|
absval[row] = a;
|
||
|
|
rawval[row] = v;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
count[row]++;
|
||
|
|
++it;
|
||
|
|
}
|
||
|
|
|
||
|
|
for(uword row=0; row < p_n_rows; ++row)
|
||
|
|
{
|
||
|
|
if(count[row] < p_n_cols)
|
||
|
|
{
|
||
|
|
if(T(0) < absval[row]) { rawval[row] = eT(0); }
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
out = rawval;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
template<typename T1>
|
||
|
|
inline
|
||
|
|
typename T1::elem_type
|
||
|
|
spop_min::vector_min
|
||
|
|
(
|
||
|
|
const T1& x,
|
||
|
|
const typename arma_cx_only<typename T1::elem_type>::result* junk
|
||
|
|
)
|
||
|
|
{
|
||
|
|
arma_extra_debug_sigprint();
|
||
|
|
arma_ignore(junk);
|
||
|
|
|
||
|
|
typedef typename T1::elem_type eT;
|
||
|
|
typedef typename get_pod_type<eT>::result T;
|
||
|
|
|
||
|
|
const SpProxy<T1> p(x);
|
||
|
|
|
||
|
|
if(p.get_n_elem() == 0)
|
||
|
|
{
|
||
|
|
arma_debug_check(true, "min(): object has no elements");
|
||
|
|
|
||
|
|
return Datum<eT>::nan;
|
||
|
|
}
|
||
|
|
|
||
|
|
if(p.get_n_nonzero() == 0) { return eT(0); }
|
||
|
|
|
||
|
|
if(SpProxy<T1>::must_use_iterator == false)
|
||
|
|
{
|
||
|
|
// direct access of values
|
||
|
|
if(p.get_n_nonzero() == p.get_n_elem())
|
||
|
|
{
|
||
|
|
return op_min::direct_min(p.get_values(), p.get_n_nonzero());
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
const eT val1 = eT(0);
|
||
|
|
const eT val2 = op_min::direct_min(p.get_values(), p.get_n_nonzero());
|
||
|
|
|
||
|
|
return ( std::abs(val1) < std::abs(val2) ) ? val1 : val2;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
// use iterator
|
||
|
|
typename SpProxy<T1>::const_iterator_type it = p.begin();
|
||
|
|
typename SpProxy<T1>::const_iterator_type it_end = p.end();
|
||
|
|
|
||
|
|
eT best_val_orig = *it;
|
||
|
|
T best_val_abs = std::abs(best_val_orig);
|
||
|
|
|
||
|
|
++it;
|
||
|
|
|
||
|
|
while(it != it_end)
|
||
|
|
{
|
||
|
|
eT val_orig = *it;
|
||
|
|
T val_abs = std::abs(val_orig);
|
||
|
|
|
||
|
|
if(val_abs < best_val_abs)
|
||
|
|
{
|
||
|
|
best_val_abs = val_abs;
|
||
|
|
best_val_orig = val_orig;
|
||
|
|
}
|
||
|
|
|
||
|
|
++it;
|
||
|
|
}
|
||
|
|
|
||
|
|
if(p.get_n_nonzero() == p.get_n_elem())
|
||
|
|
{
|
||
|
|
return best_val_orig;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
const eT val1 = eT(0);
|
||
|
|
|
||
|
|
return ( std::abs(val1) < best_val_abs ) ? val1 : best_val_orig;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
template<typename T1>
|
||
|
|
inline
|
||
|
|
typename arma_cx_only<typename T1::elem_type>::result
|
||
|
|
spop_min::min(const SpBase<typename T1::elem_type, T1>& X)
|
||
|
|
{
|
||
|
|
arma_extra_debug_sigprint();
|
||
|
|
|
||
|
|
typedef typename T1::elem_type eT;
|
||
|
|
typedef typename get_pod_type<eT>::result T;
|
||
|
|
|
||
|
|
const SpProxy<T1> P(X.get_ref());
|
||
|
|
|
||
|
|
const uword n_elem = P.get_n_elem();
|
||
|
|
const uword n_nonzero = P.get_n_nonzero();
|
||
|
|
|
||
|
|
if(n_elem == 0)
|
||
|
|
{
|
||
|
|
arma_debug_check(true, "min(): object has no elements");
|
||
|
|
|
||
|
|
return Datum<eT>::nan;
|
||
|
|
}
|
||
|
|
|
||
|
|
T min_val = priv::most_pos<T>();
|
||
|
|
eT ret_val;
|
||
|
|
|
||
|
|
if(SpProxy<T1>::must_use_iterator)
|
||
|
|
{
|
||
|
|
// We have to iterate over the elements.
|
||
|
|
typedef typename SpProxy<T1>::const_iterator_type it_type;
|
||
|
|
|
||
|
|
it_type it = P.begin();
|
||
|
|
it_type it_end = P.end();
|
||
|
|
|
||
|
|
while (it != it_end)
|
||
|
|
{
|
||
|
|
const T tmp_val = std::abs(*it);
|
||
|
|
|
||
|
|
if (tmp_val < min_val)
|
||
|
|
{
|
||
|
|
min_val = tmp_val;
|
||
|
|
ret_val = *it;
|
||
|
|
}
|
||
|
|
|
||
|
|
++it;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
// We can do direct access of the values, row_indices, and col_ptrs.
|
||
|
|
// We don't need the location of the min value, so we can just call out to
|
||
|
|
// other functions...
|
||
|
|
ret_val = op_min::direct_min(P.get_values(), n_nonzero);
|
||
|
|
min_val = std::abs(ret_val);
|
||
|
|
}
|
||
|
|
|
||
|
|
if(n_elem == n_nonzero)
|
||
|
|
{
|
||
|
|
return ret_val;
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
if (T(0) < min_val)
|
||
|
|
return eT(0);
|
||
|
|
else
|
||
|
|
return ret_val;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
template<typename T1>
|
||
|
|
inline
|
||
|
|
typename arma_cx_only<typename T1::elem_type>::result
|
||
|
|
spop_min::min_with_index(const SpProxy<T1>& P, uword& index_of_min_val)
|
||
|
|
{
|
||
|
|
arma_extra_debug_sigprint();
|
||
|
|
|
||
|
|
typedef typename T1::elem_type eT;
|
||
|
|
typedef typename get_pod_type<eT>::result T;
|
||
|
|
|
||
|
|
const uword n_elem = P.get_n_elem();
|
||
|
|
const uword n_nonzero = P.get_n_nonzero();
|
||
|
|
const uword n_rows = P.get_n_rows();
|
||
|
|
|
||
|
|
if(n_elem == 0)
|
||
|
|
{
|
||
|
|
arma_debug_check(true, "min(): object has no elements");
|
||
|
|
|
||
|
|
return Datum<eT>::nan;
|
||
|
|
}
|
||
|
|
|
||
|
|
T min_val = priv::most_pos<T>();
|
||
|
|
|
||
|
|
if(SpProxy<T1>::must_use_iterator)
|
||
|
|
{
|
||
|
|
// We have to iterate over the elements.
|
||
|
|
typedef typename SpProxy<T1>::const_iterator_type it_type;
|
||
|
|
|
||
|
|
it_type it = P.begin();
|
||
|
|
it_type it_end = P.end();
|
||
|
|
|
||
|
|
while (it != it_end)
|
||
|
|
{
|
||
|
|
const T tmp_val = std::abs(*it);
|
||
|
|
|
||
|
|
if (tmp_val < min_val)
|
||
|
|
{
|
||
|
|
min_val = tmp_val;
|
||
|
|
index_of_min_val = it.row() + it.col() * n_rows;
|
||
|
|
}
|
||
|
|
|
||
|
|
++it;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
else
|
||
|
|
{
|
||
|
|
// We can do direct access.
|
||
|
|
min_val = std::abs(op_min::direct_min(P.get_values(), n_nonzero, index_of_min_val));
|
||
|
|
|
||
|
|
// Convert to actual position in matrix.
|
||
|
|
const uword row = P.get_row_indices()[index_of_min_val];
|
||
|
|
uword col = 0;
|
||
|
|
while (P.get_col_ptrs()[++col] < index_of_min_val + 1) { }
|
||
|
|
index_of_min_val = (col - 1) * n_rows + row;
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
if(n_elem != n_nonzero)
|
||
|
|
{
|
||
|
|
min_val = std::min(T(0), min_val);
|
||
|
|
|
||
|
|
// If the min_val is a nonzero element, we need its actual position in the matrix.
|
||
|
|
if(min_val == T(0))
|
||
|
|
{
|
||
|
|
// Find first zero element.
|
||
|
|
uword last_row = 0;
|
||
|
|
uword last_col = 0;
|
||
|
|
|
||
|
|
typedef typename SpProxy<T1>::const_iterator_type it_type;
|
||
|
|
|
||
|
|
it_type it = P.begin();
|
||
|
|
it_type it_end = P.end();
|
||
|
|
|
||
|
|
while (it != it_end)
|
||
|
|
{
|
||
|
|
// Have we moved more than one position from the last place?
|
||
|
|
if ((it.col() == last_col) && (it.row() - last_row > 1))
|
||
|
|
{
|
||
|
|
index_of_min_val = it.col() * n_rows + last_row + 1;
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
else if ((it.col() >= last_col + 1) && (last_row < n_rows - 1))
|
||
|
|
{
|
||
|
|
index_of_min_val = last_col * n_rows + last_row + 1;
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
else if ((it.col() == last_col + 1) && (it.row() > 0))
|
||
|
|
{
|
||
|
|
index_of_min_val = it.col() * n_rows;
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
else if (it.col() > last_col + 1)
|
||
|
|
{
|
||
|
|
index_of_min_val = (last_col + 1) * n_rows;
|
||
|
|
break;
|
||
|
|
}
|
||
|
|
|
||
|
|
last_row = it.row();
|
||
|
|
last_col = it.col();
|
||
|
|
++it;
|
||
|
|
}
|
||
|
|
}
|
||
|
|
}
|
||
|
|
|
||
|
|
return P[index_of_min_val];
|
||
|
|
}
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
//! @}
|