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diff --git a/src/armadillo/include/armadillo_bits/glue_affmul_meat.hpp b/src/armadillo/include/armadillo_bits/glue_affmul_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 glue_affmul
+//! @{
+
+
+
+template<typename T1, typename T2>
+inline
+void
+glue_affmul::apply(Mat<typename T1::elem_type>& out, const Glue<T1,T2,glue_affmul>& X)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+
+ const quasi_unwrap<T1> U1(X.A);
+ const quasi_unwrap<T2> U2(X.B);
+
+ const bool is_alias = (U1.is_alias(out) || U2.is_alias(out));
+
+ if(is_alias == false)
+ {
+ glue_affmul::apply_noalias(out, U1.M, U2.M);
+ }
+ else
+ {
+ Mat<eT> tmp;
+
+ glue_affmul::apply_noalias(tmp, U1.M, U2.M);
+
+ out.steal_mem(tmp);
+ }
+ }
+
+
+
+template<typename T1, typename T2>
+inline
+void
+glue_affmul::apply_noalias(Mat<typename T1::elem_type>& out, const T1& A, const T2& B)
+ {
+ arma_extra_debug_sigprint();
+
+ const uword A_n_cols = A.n_cols;
+ const uword A_n_rows = A.n_rows;
+ const uword B_n_rows = B.n_rows;
+
+ arma_debug_check( (A_n_cols != B_n_rows+1), "affmul(): size mismatch" );
+
+ if(A_n_rows == A_n_cols)
+ {
+ glue_affmul::apply_noalias_square(out, A, B);
+ }
+ else
+ if(A_n_rows == B_n_rows)
+ {
+ glue_affmul::apply_noalias_rectangle(out, A, B);
+ }
+ else
+ {
+ glue_affmul::apply_noalias_generic(out, A, B);
+ }
+ }
+
+
+
+template<typename T1, typename T2>
+inline
+void
+glue_affmul::apply_noalias_square(Mat<typename T1::elem_type>& out, const T1& A, const T2& B)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+
+ // assuming that A is square sized, and A.n_cols = B.n_rows+1
+
+ const uword N = A.n_rows;
+ const uword B_n_cols = B.n_cols;
+
+ out.set_size(N, B_n_cols);
+
+ if(out.n_elem == 0) { return; }
+
+ const eT* A_mem = A.memptr();
+
+ switch(N)
+ {
+ case 0:
+ break;
+
+ case 1: // A is 1x1
+ out.fill(A_mem[0]);
+ break;
+
+ case 2: // A is 2x2
+ {
+ if(B_n_cols == 1)
+ {
+ const eT* B_mem = B.memptr();
+ eT* out_mem = out.memptr();
+
+ const eT x = B_mem[0];
+
+ out_mem[0] = A_mem[0]*x + A_mem[2];
+ out_mem[1] = A_mem[1]*x + A_mem[3];
+ }
+ else
+ for(uword col=0; col < B_n_cols; ++col)
+ {
+ const eT* B_mem = B.colptr(col);
+ eT* out_mem = out.colptr(col);
+
+ const eT x = B_mem[0];
+
+ out_mem[0] = A_mem[0]*x + A_mem[2];
+ out_mem[1] = A_mem[1]*x + A_mem[3];
+ }
+ }
+ break;
+
+ case 3: // A is 3x3
+ {
+ if(B_n_cols == 1)
+ {
+ const eT* B_mem = B.memptr();
+ eT* out_mem = out.memptr();
+
+ const eT x = B_mem[0];
+ const eT y = B_mem[1];
+
+ out_mem[0] = A_mem[0]*x + A_mem[3]*y + A_mem[6];
+ out_mem[1] = A_mem[1]*x + A_mem[4]*y + A_mem[7];
+ out_mem[2] = A_mem[2]*x + A_mem[5]*y + A_mem[8];
+ }
+ else
+ for(uword col=0; col < B_n_cols; ++col)
+ {
+ const eT* B_mem = B.colptr(col);
+ eT* out_mem = out.colptr(col);
+
+ const eT x = B_mem[0];
+ const eT y = B_mem[1];
+
+ out_mem[0] = A_mem[0]*x + A_mem[3]*y + A_mem[6];
+ out_mem[1] = A_mem[1]*x + A_mem[4]*y + A_mem[7];
+ out_mem[2] = A_mem[2]*x + A_mem[5]*y + A_mem[8];
+ }
+ }
+ break;
+
+ case 4: // A is 4x4
+ {
+ if(B_n_cols == 1)
+ {
+ const eT* B_mem = B.memptr();
+ eT* out_mem = out.memptr();
+
+ const eT x = B_mem[0];
+ const eT y = B_mem[1];
+ const eT z = B_mem[2];
+
+ out_mem[0] = A_mem[ 0]*x + A_mem[ 4]*y + A_mem[ 8]*z + A_mem[12];
+ out_mem[1] = A_mem[ 1]*x + A_mem[ 5]*y + A_mem[ 9]*z + A_mem[13];
+ out_mem[2] = A_mem[ 2]*x + A_mem[ 6]*y + A_mem[10]*z + A_mem[14];
+ out_mem[3] = A_mem[ 3]*x + A_mem[ 7]*y + A_mem[11]*z + A_mem[15];
+ }
+ else
+ for(uword col=0; col < B_n_cols; ++col)
+ {
+ const eT* B_mem = B.colptr(col);
+ eT* out_mem = out.colptr(col);
+
+ const eT x = B_mem[0];
+ const eT y = B_mem[1];
+ const eT z = B_mem[2];
+
+ out_mem[0] = A_mem[ 0]*x + A_mem[ 4]*y + A_mem[ 8]*z + A_mem[12];
+ out_mem[1] = A_mem[ 1]*x + A_mem[ 5]*y + A_mem[ 9]*z + A_mem[13];
+ out_mem[2] = A_mem[ 2]*x + A_mem[ 6]*y + A_mem[10]*z + A_mem[14];
+ out_mem[3] = A_mem[ 3]*x + A_mem[ 7]*y + A_mem[11]*z + A_mem[15];
+ }
+ }
+ break;
+
+ case 5: // A is 5x5
+ {
+ if(B_n_cols == 1)
+ {
+ const eT* B_mem = B.memptr();
+ eT* out_mem = out.memptr();
+
+ const eT x = B_mem[0];
+ const eT y = B_mem[1];
+ const eT z = B_mem[2];
+ const eT w = B_mem[3];
+
+ out_mem[0] = A_mem[ 0]*x + A_mem[ 5]*y + A_mem[10]*z + A_mem[15]*w + A_mem[20];
+ out_mem[1] = A_mem[ 1]*x + A_mem[ 6]*y + A_mem[11]*z + A_mem[16]*w + A_mem[21];
+ out_mem[2] = A_mem[ 2]*x + A_mem[ 7]*y + A_mem[12]*z + A_mem[17]*w + A_mem[22];
+ out_mem[3] = A_mem[ 3]*x + A_mem[ 8]*y + A_mem[13]*z + A_mem[18]*w + A_mem[23];
+ out_mem[4] = A_mem[ 4]*x + A_mem[ 9]*y + A_mem[14]*z + A_mem[19]*w + A_mem[24];
+ }
+ else
+ for(uword col=0; col < B_n_cols; ++col)
+ {
+ const eT* B_mem = B.colptr(col);
+ eT* out_mem = out.colptr(col);
+
+ const eT x = B_mem[0];
+ const eT y = B_mem[1];
+ const eT z = B_mem[2];
+ const eT w = B_mem[3];
+
+ out_mem[0] = A_mem[ 0]*x + A_mem[ 5]*y + A_mem[10]*z + A_mem[15]*w + A_mem[20];
+ out_mem[1] = A_mem[ 1]*x + A_mem[ 6]*y + A_mem[11]*z + A_mem[16]*w + A_mem[21];
+ out_mem[2] = A_mem[ 2]*x + A_mem[ 7]*y + A_mem[12]*z + A_mem[17]*w + A_mem[22];
+ out_mem[3] = A_mem[ 3]*x + A_mem[ 8]*y + A_mem[13]*z + A_mem[18]*w + A_mem[23];
+ out_mem[4] = A_mem[ 4]*x + A_mem[ 9]*y + A_mem[14]*z + A_mem[19]*w + A_mem[24];
+ }
+ }
+ break;
+
+ default:
+ {
+ if(B_n_cols == 1)
+ {
+ Col<eT> tmp(N, arma_nozeros_indicator());
+ eT* tmp_mem = tmp.memptr();
+
+ arrayops::copy(tmp_mem, B.memptr(), N-1);
+
+ tmp_mem[N-1] = eT(1);
+
+ out = A * tmp;
+ }
+ else
+ {
+ Mat<eT> tmp(N, B_n_cols, arma_nozeros_indicator());
+
+ for(uword col=0; col < B_n_cols; ++col)
+ {
+ const eT* B_mem = B.colptr(col);
+ eT* tmp_mem = tmp.colptr(col);
+
+ arrayops::copy(tmp_mem, B_mem, N-1);
+
+ tmp_mem[N-1] = eT(1);
+ }
+
+ out = A * tmp;
+ }
+ }
+ }
+ }
+
+
+
+template<typename T1, typename T2>
+inline
+void
+glue_affmul::apply_noalias_rectangle(Mat<typename T1::elem_type>& out, const T1& A, const T2& B)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+
+ // assuming that A.n_rows = A.n_cols-1, and A.n_cols = B.n_rows+1
+ // (A and B have the same number of rows)
+
+ const uword A_n_rows = A.n_rows;
+ const uword B_n_cols = B.n_cols;
+
+ out.set_size(A_n_rows, B_n_cols);
+
+ if(out.n_elem == 0) { return; }
+
+ const eT* A_mem = A.memptr();
+
+ switch(A_n_rows)
+ {
+ case 0:
+ break;
+
+ case 1: // A is 1x2
+ {
+ if(B_n_cols == 1)
+ {
+ const eT* B_mem = B.memptr();
+ eT* out_mem = out.memptr();
+
+ const eT x = B_mem[0];
+
+ out_mem[0] = A_mem[0]*x + A_mem[1];
+ }
+ else
+ for(uword col=0; col < B_n_cols; ++col)
+ {
+ const eT* B_mem = B.colptr(col);
+ eT* out_mem = out.colptr(col);
+
+ const eT x = B_mem[0];
+
+ out_mem[0] = A_mem[0]*x + A_mem[1];
+ }
+ }
+ break;
+
+ case 2: // A is 2x3
+ {
+ if(B_n_cols == 1)
+ {
+ const eT* B_mem = B.memptr();
+ eT* out_mem = out.memptr();
+
+ const eT x = B_mem[0];
+ const eT y = B_mem[1];
+
+ out_mem[0] = A_mem[0]*x + A_mem[2]*y + A_mem[4];
+ out_mem[1] = A_mem[1]*x + A_mem[3]*y + A_mem[5];
+ }
+ else
+ for(uword col=0; col < B_n_cols; ++col)
+ {
+ const eT* B_mem = B.colptr(col);
+ eT* out_mem = out.colptr(col);
+
+ const eT x = B_mem[0];
+ const eT y = B_mem[1];
+
+ out_mem[0] = A_mem[0]*x + A_mem[2]*y + A_mem[4];
+ out_mem[1] = A_mem[1]*x + A_mem[3]*y + A_mem[5];
+ }
+ }
+ break;
+
+ case 3: // A is 3x4
+ {
+ if(B_n_cols == 1)
+ {
+ const eT* B_mem = B.memptr();
+ eT* out_mem = out.memptr();
+
+ const eT x = B_mem[0];
+ const eT y = B_mem[1];
+ const eT z = B_mem[2];
+
+ out_mem[0] = A_mem[ 0]*x + A_mem[ 3]*y + A_mem[ 6]*z + A_mem[ 9];
+ out_mem[1] = A_mem[ 1]*x + A_mem[ 4]*y + A_mem[ 7]*z + A_mem[10];
+ out_mem[2] = A_mem[ 2]*x + A_mem[ 5]*y + A_mem[ 8]*z + A_mem[11];
+ }
+ else
+ for(uword col=0; col < B_n_cols; ++col)
+ {
+ const eT* B_mem = B.colptr(col);
+ eT* out_mem = out.colptr(col);
+
+ const eT x = B_mem[0];
+ const eT y = B_mem[1];
+ const eT z = B_mem[2];
+
+ out_mem[0] = A_mem[ 0]*x + A_mem[ 3]*y + A_mem[ 6]*z + A_mem[ 9];
+ out_mem[1] = A_mem[ 1]*x + A_mem[ 4]*y + A_mem[ 7]*z + A_mem[10];
+ out_mem[2] = A_mem[ 2]*x + A_mem[ 5]*y + A_mem[ 8]*z + A_mem[11];
+ }
+ }
+ break;
+
+ case 4: // A is 4x5
+ {
+ if(B_n_cols == 1)
+ {
+ const eT* B_mem = B.memptr();
+ eT* out_mem = out.memptr();
+
+ const eT x = B_mem[0];
+ const eT y = B_mem[1];
+ const eT z = B_mem[2];
+ const eT w = B_mem[3];
+
+ out_mem[0] = A_mem[ 0]*x + A_mem[ 4]*y + A_mem[ 8]*z + A_mem[12]*w + A_mem[16];
+ out_mem[1] = A_mem[ 1]*x + A_mem[ 5]*y + A_mem[ 9]*z + A_mem[13]*w + A_mem[17];
+ out_mem[2] = A_mem[ 2]*x + A_mem[ 6]*y + A_mem[10]*z + A_mem[14]*w + A_mem[18];
+ out_mem[3] = A_mem[ 3]*x + A_mem[ 7]*y + A_mem[11]*z + A_mem[15]*w + A_mem[19];
+ }
+ else
+ for(uword col=0; col < B_n_cols; ++col)
+ {
+ const eT* B_mem = B.colptr(col);
+ eT* out_mem = out.colptr(col);
+
+ const eT x = B_mem[0];
+ const eT y = B_mem[1];
+ const eT z = B_mem[2];
+ const eT w = B_mem[3];
+
+ out_mem[0] = A_mem[ 0]*x + A_mem[ 4]*y + A_mem[ 8]*z + A_mem[12]*w + A_mem[16];
+ out_mem[1] = A_mem[ 1]*x + A_mem[ 5]*y + A_mem[ 9]*z + A_mem[13]*w + A_mem[17];
+ out_mem[2] = A_mem[ 2]*x + A_mem[ 6]*y + A_mem[10]*z + A_mem[14]*w + A_mem[18];
+ out_mem[3] = A_mem[ 3]*x + A_mem[ 7]*y + A_mem[11]*z + A_mem[15]*w + A_mem[19];
+ }
+ }
+ break;
+
+ default:
+ {
+ const uword A_n_cols = A.n_cols;
+
+ if(B_n_cols == 1)
+ {
+ Col<eT> tmp(A_n_cols, arma_nozeros_indicator());
+ eT* tmp_mem = tmp.memptr();
+
+ arrayops::copy(tmp_mem, B.memptr(), A_n_cols-1);
+
+ tmp_mem[A_n_cols-1] = eT(1);
+
+ out = A * tmp;
+ }
+ else
+ {
+ Mat<eT> tmp(A_n_cols, B_n_cols, arma_nozeros_indicator());
+
+ for(uword col=0; col < B_n_cols; ++col)
+ {
+ const eT* B_mem = B.colptr(col);
+ eT* tmp_mem = tmp.colptr(col);
+
+ arrayops::copy(tmp_mem, B_mem, A_n_cols-1);
+
+ tmp_mem[A_n_cols-1] = eT(1);
+ }
+
+ out = A * tmp;
+ }
+ }
+ }
+ }
+
+
+
+template<typename T1, typename T2>
+inline
+void
+glue_affmul::apply_noalias_generic(Mat<typename T1::elem_type>& out, const T1& A, const T2& B)
+ {
+ arma_extra_debug_sigprint();
+
+ typedef typename T1::elem_type eT;
+
+ // assuming that A.n_cols = B.n_rows+1
+
+ const uword B_n_rows = B.n_rows;
+ const uword B_n_cols = B.n_cols;
+
+ Mat<eT> tmp(B_n_rows+1, B_n_cols, arma_nozeros_indicator());
+
+ for(uword col=0; col < B_n_cols; ++col)
+ {
+ const eT* B_mem = B.colptr(col);
+ eT* tmp_mem = tmp.colptr(col);
+
+ arrayops::copy(tmp_mem, B_mem, B_n_rows);
+
+ tmp_mem[B_n_rows] = eT(1);
+ }
+
+ out = A * tmp;
+ }
+
+
+
+//! @}
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