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diff --git a/src/armadillo/include/armadillo_bits/spop_max_meat.hpp b/src/armadillo/include/armadillo_bits/spop_max_meat.hpp
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+// 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 spop_max
+//! @{
+
+
+
+template<typename T1>
+inline
+void
+spop_max::apply(SpMat<typename T1::elem_type>& out, const SpOp<T1,spop_max>& in)
+ {
+ arma_extra_debug_sigprint();
+
+ const uword dim = in.aux_uword_a;
+ arma_debug_check( (dim > 1), "max(): parameter 'dim' must be 0 or 1" );
+
+ const SpProxy<T1> p(in.m);
+
+ const uword p_n_rows = p.get_n_rows();
+ const uword p_n_cols = p.get_n_cols();
+
+ if( (p_n_rows == 0) || (p_n_cols == 0) || (p.get_n_nonzero() == 0) )
+ {
+ if(dim == 0) { out.zeros((p_n_rows > 0) ? 1 : 0, p_n_cols); }
+ if(dim == 1) { out.zeros(p_n_rows, (p_n_cols > 0) ? 1 : 0); }
+
+ return;
+ }
+
+ spop_max::apply_proxy(out, p, dim);
+ }
+
+
+
+template<typename T1>
+inline
+void
+spop_max::apply_proxy
+ (
+ SpMat<typename T1::elem_type>& out,
+ const SpProxy<T1>& p,
+ const uword dim,
+ const typename arma_not_cx<typename T1::elem_type>::result* junk
+ )
+ {
+ arma_extra_debug_sigprint();
+ arma_ignore(junk);
+
+ typedef typename T1::elem_type eT;
+
+ typename SpProxy<T1>::const_iterator_type it = p.begin();
+ typename SpProxy<T1>::const_iterator_type it_end = p.end();
+
+ const uword p_n_cols = p.get_n_cols();
+ const uword p_n_rows = p.get_n_rows();
+
+ if(dim == 0) // find the maximum in each column
+ {
+ Row<eT> value(p_n_cols, arma_zeros_indicator());
+ urowvec count(p_n_cols, arma_zeros_indicator());
+
+ while(it != it_end)
+ {
+ const uword col = it.col();
+
+ value[col] = (count[col] == 0) ? (*it) : (std::max)(value[col], (*it));
+ count[col]++;
+ ++it;
+ }
+
+ for(uword col=0; col<p_n_cols; ++col)
+ {
+ if(count[col] < p_n_rows) { value[col] = (std::max)(value[col], eT(0)); }
+ }
+
+ out = value;
+ }
+ else
+ if(dim == 1) // find the maximum in each row
+ {
+ Col<eT> value(p_n_rows, arma_zeros_indicator());
+ ucolvec count(p_n_rows, arma_zeros_indicator());
+
+ while(it != it_end)
+ {
+ const uword row = it.row();
+
+ value[row] = (count[row] == 0) ? (*it) : (std::max)(value[row], (*it));
+ count[row]++;
+ ++it;
+ }
+
+ for(uword row=0; row<p_n_rows; ++row)
+ {
+ if(count[row] < p_n_cols) { value[row] = (std::max)(value[row], eT(0)); }
+ }
+
+ out = value;
+ }
+ }
+
+
+
+template<typename T1>
+inline
+typename T1::elem_type
+spop_max::vector_max
+ (
+ const T1& x,
+ const typename arma_not_cx<typename T1::elem_type>::result* junk
+ )
+ {
+ arma_extra_debug_sigprint();
+ arma_ignore(junk);
+
+ typedef typename T1::elem_type eT;
+
+ const SpProxy<T1> p(x);
+
+ if(p.get_n_elem() == 0)
+ {
+ arma_debug_check(true, "max(): object has no elements");
+
+ return Datum<eT>::nan;
+ }
+
+ if(p.get_n_nonzero() == 0) { return eT(0); }
+
+ if(SpProxy<T1>::use_iterator == false)
+ {
+ // direct access of values
+ if(p.get_n_nonzero() == p.get_n_elem())
+ {
+ return op_max::direct_max(p.get_values(), p.get_n_nonzero());
+ }
+ else
+ {
+ return (std::max)(eT(0), op_max::direct_max(p.get_values(), p.get_n_nonzero()));
+ }
+ }
+ else
+ {
+ // use iterator
+ typename SpProxy<T1>::const_iterator_type it = p.begin();
+ typename SpProxy<T1>::const_iterator_type it_end = p.end();
+
+ eT result = (*it);
+ ++it;
+
+ while(it != it_end)
+ {
+ if((*it) > result) { result = (*it); }
+
+ ++it;
+ }
+
+ if(p.get_n_nonzero() == p.get_n_elem())
+ {
+ return result;
+ }
+ else
+ {
+ return (std::max)(eT(0), result);
+ }
+ }
+ }
+
+
+
+template<typename T1>
+inline
+typename arma_not_cx<typename T1::elem_type>::result
+spop_max::max(const SpBase<typename T1::elem_type, T1>& X)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+
+ 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, "max(): object has no elements");
+
+ return Datum<eT>::nan;
+ }
+
+ eT max_val = priv::most_neg<eT>();
+
+ if(SpProxy<T1>::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)
+ {
+ if((*it) > max_val) { max_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 max value, so we can just call out to
+ // other functions...
+ max_val = op_max::direct_max(P.get_values(), n_nonzero);
+ }
+
+ if(n_elem == n_nonzero)
+ {
+ return max_val;
+ }
+ else
+ {
+ return (std::max)(eT(0), max_val);
+ }
+ }
+
+
+
+template<typename T1>
+inline
+typename arma_not_cx<typename T1::elem_type>::result
+spop_max::max_with_index(const SpProxy<T1>& P, uword& index_of_max_val)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+
+ 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, "max(): object has no elements");
+
+ index_of_max_val = uword(0);
+
+ return Datum<eT>::nan;
+ }
+
+ eT max_val = priv::most_neg<eT>();
+
+ if(SpProxy<T1>::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)
+ {
+ if((*it) > max_val)
+ {
+ max_val = *it;
+ index_of_max_val = it.row() + it.col() * n_rows;
+ }
+
+ ++it;
+ }
+ }
+ else
+ {
+ // We can do direct access.
+ max_val = op_max::direct_max(P.get_values(), n_nonzero, index_of_max_val);
+
+ // Convert to actual position in matrix.
+ const uword row = P.get_row_indices()[index_of_max_val];
+ uword col = 0;
+ while(P.get_col_ptrs()[++col] <= index_of_max_val) { }
+ index_of_max_val = (col - 1) * n_rows + row;
+ }
+
+
+ if(n_elem != n_nonzero)
+ {
+ max_val = (std::max)(eT(0), max_val);
+
+ // If the max_val is a nonzero element, we need its actual position in the matrix.
+ if(max_val == eT(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_max_val = it.col() * n_rows + last_row + 1;
+ break;
+ }
+ else if((it.col() >= last_col + 1) && (last_row < n_rows - 1))
+ {
+ index_of_max_val = last_col * n_rows + last_row + 1;
+ break;
+ }
+ else if((it.col() == last_col + 1) && (it.row() > 0))
+ {
+ index_of_max_val = it.col() * n_rows;
+ break;
+ }
+ else if(it.col() > last_col + 1)
+ {
+ index_of_max_val = (last_col + 1) * n_rows;
+ break;
+ }
+
+ last_row = it.row();
+ last_col = it.col();
+ ++it;
+ }
+ }
+ }
+
+ return max_val;
+ }
+
+
+
+template<typename T1>
+inline
+void
+spop_max::apply_proxy
+ (
+ SpMat<typename T1::elem_type>& out,
+ const SpProxy<T1>& p,
+ const uword dim,
+ 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;
+
+ typename SpProxy<T1>::const_iterator_type it = p.begin();
+ typename SpProxy<T1>::const_iterator_type it_end = p.end();
+
+ const uword p_n_cols = p.get_n_cols();
+ const uword p_n_rows = p.get_n_rows();
+
+ if(dim == 0) // find the maximum in each column
+ {
+ Row<eT> rawval(p_n_cols, arma_zeros_indicator());
+ Row< T> absval(p_n_cols, arma_zeros_indicator());
+
+ while(it != it_end)
+ {
+ const uword col = it.col();
+
+ const eT& v = (*it);
+ const T a = std::abs(v);
+
+ if(a > absval[col])
+ {
+ absval[col] = a;
+ rawval[col] = v;
+ }
+
+ ++it;
+ }
+
+ out = rawval;
+ }
+ else
+ if(dim == 1) // find the maximum in each row
+ {
+ Col<eT> rawval(p_n_rows, arma_zeros_indicator());
+ Col< T> absval(p_n_rows, arma_zeros_indicator());
+
+ while(it != it_end)
+ {
+ const uword row = it.row();
+
+ const eT& v = (*it);
+ const T a = std::abs(v);
+
+ if(a > absval[row])
+ {
+ absval[row] = a;
+ rawval[row] = v;
+ }
+
+ ++it;
+ }
+
+ out = rawval;
+ }
+ }
+
+
+
+template<typename T1>
+inline
+typename T1::elem_type
+spop_max::vector_max
+ (
+ 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, "max(): object has no elements");
+
+ return Datum<eT>::nan;
+ }
+
+ if(p.get_n_nonzero() == 0) { return eT(0); }
+
+ if(SpProxy<T1>::use_iterator == false)
+ {
+ // direct access of values
+ if(p.get_n_nonzero() == p.get_n_elem())
+ {
+ return op_max::direct_max(p.get_values(), p.get_n_nonzero());
+ }
+ else
+ {
+ const eT val1 = eT(0);
+ const eT val2 = op_max::direct_max(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_max::max(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, "max(): object has no elements");
+
+ return Datum<eT>::nan;
+ }
+
+ T max_val = priv::most_neg<T>();
+ eT ret_val;
+
+ if(SpProxy<T1>::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 > max_val)
+ {
+ max_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 max value, so we can just call out to
+ // other functions...
+ ret_val = op_max::direct_max(P.get_values(), n_nonzero);
+ max_val = std::abs(ret_val);
+ }
+
+ if(n_elem == n_nonzero)
+ {
+ return max_val;
+ }
+ else
+ {
+ return (T(0) > max_val) ? eT(0) : ret_val;
+ }
+ }
+
+
+
+template<typename T1>
+inline
+typename arma_cx_only<typename T1::elem_type>::result
+spop_max::max_with_index(const SpProxy<T1>& P, uword& index_of_max_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, "max(): object has no elements");
+
+ index_of_max_val = uword(0);
+
+ return Datum<eT>::nan;
+ }
+
+ T max_val = priv::most_neg<T>();
+
+ if(SpProxy<T1>::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 > max_val)
+ {
+ max_val = tmp_val;
+ index_of_max_val = it.row() + it.col() * n_rows;
+ }
+
+ ++it;
+ }
+ }
+ else
+ {
+ // We can do direct access.
+ max_val = std::abs(op_max::direct_max(P.get_values(), n_nonzero, index_of_max_val));
+
+ // Convert to actual position in matrix.
+ const uword row = P.get_row_indices()[index_of_max_val];
+ uword col = 0;
+ while(P.get_col_ptrs()[++col] <= index_of_max_val) { }
+ index_of_max_val = (col - 1) * n_rows + row;
+ }
+
+
+ if(n_elem != n_nonzero)
+ {
+ max_val = (std::max)(T(0), max_val);
+
+ // If the max_val is a nonzero element, we need its actual position in the matrix.
+ if(max_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_max_val = it.col() * n_rows + last_row + 1;
+ break;
+ }
+ else if((it.col() >= last_col + 1) && (last_row < n_rows - 1))
+ {
+ index_of_max_val = last_col * n_rows + last_row + 1;
+ break;
+ }
+ else if((it.col() == last_col + 1) && (it.row() > 0))
+ {
+ index_of_max_val = it.col() * n_rows;
+ break;
+ }
+ else if(it.col() > last_col + 1)
+ {
+ index_of_max_val = (last_col + 1) * n_rows;
+ break;
+ }
+
+ last_row = it.row();
+ last_col = it.col();
+ ++it;
+ }
+ }
+ }
+
+ return P[index_of_max_val];
+ }
+
+
+
+//! @}