inline
void
op_any::apply_helper(Mat<uword>& out, const Proxy<T1>& P, const uword dim)
{
arma_extra_debug_sigprint();
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
typedef typename Proxy<T1>::elem_type eT;
if(dim == 0) // traverse rows (ie. process each column)
{
out.zeros(1, n_cols);
uword* out_mem = out.memptr();
if(is_Mat<typename Proxy<T1>::stored_type>::value == true)
{
const unwrap<typename Proxy<T1>::stored_type> U(P.Q);
for(uword col=0; col < n_cols; ++col)
{
const eT* colmem = U.M.colptr(col);
for(uword row=0; row < n_rows; ++row)
{
if(colmem[row] != eT(0)) { out_mem[col] = uword(1); break; }
}
}
}
else
{
for(uword col=0; col < n_cols; ++col)
{
for(uword row=0; row < n_rows; ++row)
{
if(P.at(row,col) != eT(0)) { out_mem[col] = uword(1); break; }
}
}
}
}
else
{
out.zeros(n_rows, 1);
uword* out_mem = out.memptr();
if(is_Mat<typename Proxy<T1>::stored_type>::value == true)
{
const unwrap<typename Proxy<T1>::stored_type> U(P.Q);
for(uword col=0; col < n_cols; ++col)
{
const eT* colmem = U.M.colptr(col);
for(uword row=0; row < n_rows; ++row)
{
if(colmem[row] != eT(0)) { out_mem[row] = uword(1); }
}
}
}
else
{
for(uword col=0; col < n_cols; ++col)
{
for(uword row=0; row < n_rows; ++row)
{
if(P.at(row,col) != eT(0)) { out_mem[row] = uword(1); }
}
}
}
}
}
inline
bool
op_any::any_vec_helper
(
const mtOp<uword, T1, op_type>& X,
const typename arma_op_rel_only<op_type>::result junk1,
const typename arma_not_cx<typename T1::elem_type>::result junk2
)
{
arma_extra_debug_sigprint();
arma_ignore(junk1);
arma_ignore(junk2);
typedef typename T1::elem_type eT;
const eT val = X.aux;
const Proxy<T1> P(X.m);
if(Proxy<T1>::prefer_at_accessor == false)
{
typename Proxy<T1>::ea_type Pea = P.get_ea();
const uword n_elem = P.get_n_elem();
for(uword i=0; i < n_elem; ++i)
{
const eT tmp = Pea[i];
if(is_same_type<op_type, op_rel_lt_pre >::yes) { if(val < tmp) { return true; } }
else if(is_same_type<op_type, op_rel_lt_post >::yes) { if(tmp < val) { return true; } }
else if(is_same_type<op_type, op_rel_gt_pre >::yes) { if(val > tmp) { return true; } }
else if(is_same_type<op_type, op_rel_gt_post >::yes) { if(tmp > val) { return true; } }
else if(is_same_type<op_type, op_rel_lteq_pre >::yes) { if(val <= tmp) { return true; } }
else if(is_same_type<op_type, op_rel_lteq_post>::yes) { if(tmp <= val) { return true; } }
else if(is_same_type<op_type, op_rel_gteq_pre >::yes) { if(val >= tmp) { return true; } }
else if(is_same_type<op_type, op_rel_gteq_post>::yes) { if(tmp >= val) { return true; } }
else if(is_same_type<op_type, op_rel_eq >::yes) { if(tmp == val) { return true; } }
else if(is_same_type<op_type, op_rel_noteq >::yes) { if(tmp != val) { return true; } }
}
}
else
{
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
for(uword col=0; col < n_cols; ++col)
for(uword row=0; row < n_rows; ++row)
{
const eT tmp = P.at(row,col);
if(is_same_type<op_type, op_rel_lt_pre >::yes) { if(val < tmp) { return true; } }
else if(is_same_type<op_type, op_rel_lt_post >::yes) { if(tmp < val) { return true; } }
else if(is_same_type<op_type, op_rel_gt_pre >::yes) { if(val > tmp) { return true; } }
else if(is_same_type<op_type, op_rel_gt_post >::yes) { if(tmp > val) { return true; } }
else if(is_same_type<op_type, op_rel_lteq_pre >::yes) { if(val <= tmp) { return true; } }
else if(is_same_type<op_type, op_rel_lteq_post>::yes) { if(tmp <= val) { return true; } }
else if(is_same_type<op_type, op_rel_gteq_pre >::yes) { if(val >= tmp) { return true; } }
else if(is_same_type<op_type, op_rel_gteq_post>::yes) { if(tmp >= val) { return true; } }
else if(is_same_type<op_type, op_rel_eq >::yes) { if(tmp == val) { return true; } }
else if(is_same_type<op_type, op_rel_noteq >::yes) { if(tmp != val) { return true; } }
}
}
return false;
}
inline
bool
op_unique::apply_helper(Mat<typename T1::elem_type>& out, const Proxy<T1>& P)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
const uword n_elem = P.get_n_elem();
if(n_elem == 0) { out.set_size(n_rows, n_cols); return true; }
if(n_elem == 1)
{
const eT tmp = (Proxy<T1>::use_at) ? P.at(0,0) : P[0];
out.set_size(n_rows, n_cols);
out[0] = tmp;
return true;
}
Mat<eT> X(n_elem,1);
eT* X_mem = X.memptr();
if(Proxy<T1>::use_at == false)
{
typename Proxy<T1>::ea_type Pea = P.get_ea();
for(uword i=0; i<n_elem; ++i)
{
const eT val = Pea[i];
if(arma_isnan(val)) { out.reset(); return false; }
X_mem[i] = val;
}
}
else
{
for(uword col=0; col < n_cols; ++col)
for(uword row=0; row < n_rows; ++row)
{
const eT val = P.at(row,col);
if(arma_isnan(val)) { out.reset(); return false; }
(*X_mem) = val; X_mem++;
}
X_mem = X.memptr();
}
arma_unique_comparator<eT> comparator;
std::sort( X.begin(), X.end(), comparator );
uword N_unique = 1;
for(uword i=1; i < n_elem; ++i)
{
const eT a = X_mem[i-1];
const eT b = X_mem[i ];
const eT diff = a - b;
if(diff != eT(0)) { ++N_unique; }
}
uword out_n_rows;
uword out_n_cols;
if( (n_rows == 1) || (n_cols == 1) )
{
if(n_rows == 1)
{
out_n_rows = 1;
out_n_cols = N_unique;
}
else
{
out_n_rows = N_unique;
out_n_cols = 1;
}
}
else
{
out_n_rows = N_unique;
out_n_cols = 1;
}
out.set_size(out_n_rows, out_n_cols);
eT* out_mem = out.memptr();
if(n_elem > 0) { (*out_mem) = X_mem[0]; out_mem++; }
for(uword i=1; i < n_elem; ++i)
{
const eT a = X_mem[i-1];
const eT b = X_mem[i ];
const eT diff = a - b;
if(diff != eT(0)) { (*out_mem) = b; out_mem++; }
}
return true;
}
inline
bool
op_any::any_vec_helper
(
const mtGlue<uword, T1, T2, glue_type>& X,
const typename arma_glue_rel_only<glue_type>::result junk1,
const typename arma_not_cx<typename T1::elem_type>::result junk2,
const typename arma_not_cx<typename T2::elem_type>::result junk3
)
{
arma_extra_debug_sigprint();
arma_ignore(junk1);
arma_ignore(junk2);
arma_ignore(junk3);
typedef typename T1::elem_type eT1;
typedef typename T2::elem_type eT2;
typedef typename Proxy<T1>::ea_type ea_type1;
typedef typename Proxy<T2>::ea_type ea_type2;
const Proxy<T1> A(X.A);
const Proxy<T2> B(X.B);
arma_debug_assert_same_size(A, B, "relational operator");
const bool prefer_at_accessor = Proxy<T1>::prefer_at_accessor || Proxy<T2>::prefer_at_accessor;
if(prefer_at_accessor == false)
{
ea_type1 PA = A.get_ea();
ea_type2 PB = B.get_ea();
const uword n_elem = A.get_n_elem();
for(uword i=0; i<n_elem; ++i)
{
const eT1 tmp1 = PA[i];
const eT2 tmp2 = PB[i];
if(is_same_type<glue_type, glue_rel_lt >::yes) { if(tmp1 < tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_gt >::yes) { if(tmp1 > tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_lteq >::yes) { if(tmp1 <= tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_gteq >::yes) { if(tmp1 >= tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_eq >::yes) { if(tmp1 == tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_noteq >::yes) { if(tmp1 != tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_and >::yes) { if(tmp1 && tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_or >::yes) { if(tmp1 || tmp2) { return true; } }
}
}
else
{
const uword n_rows = A.get_n_rows();
const uword n_cols = A.get_n_cols();
for(uword col=0; col < n_cols; ++col)
for(uword row=0; row < n_rows; ++row)
{
const eT1 tmp1 = A.at(row,col);
const eT2 tmp2 = B.at(row,col);
if(is_same_type<glue_type, glue_rel_lt >::yes) { if(tmp1 < tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_gt >::yes) { if(tmp1 > tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_lteq >::yes) { if(tmp1 <= tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_gteq >::yes) { if(tmp1 >= tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_eq >::yes) { if(tmp1 == tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_noteq >::yes) { if(tmp1 != tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_and >::yes) { if(tmp1 && tmp2) { return true; } }
else if(is_same_type<glue_type, glue_rel_or >::yes) { if(tmp1 || tmp2) { return true; } }
}
}
return false;
}
inline
void
diagview<eT>::operator/=(const Base<eT,T1>& o)
{
arma_extra_debug_sigprint();
diagview<eT>& d = *this;
Mat<eT>& d_m = const_cast< Mat<eT>& >(d.m);
const uword d_n_elem = d.n_elem;
const uword d_row_offset = d.row_offset;
const uword d_col_offset = d.col_offset;
const Proxy<T1> P( o.get_ref() );
arma_debug_check
(
( (d_n_elem != P.get_n_elem()) || ((P.get_n_rows() != 1) && (P.get_n_cols() != 1)) ),
"diagview: given object has incompatible size"
);
const bool is_alias = P.is_alias(d_m);
arma_extra_debug_warn(is_alias, "aliasing detected");
if( (is_Mat<typename Proxy<T1>::stored_type>::value) || (Proxy<T1>::prefer_at_accessor) || (is_alias) )
{
const unwrap_check<typename Proxy<T1>::stored_type> tmp(P.Q, is_alias);
const Mat<eT>& x = tmp.M;
const eT* x_mem = x.memptr();
uword ii,jj;
for(ii=0, jj=1; jj < d_n_elem; ii+=2, jj+=2)
{
const eT tmp_i = x_mem[ii];
const eT tmp_j = x_mem[jj];
d_m.at( ii + d_row_offset, ii + d_col_offset) /= tmp_i;
d_m.at( jj + d_row_offset, jj + d_col_offset) /= tmp_j;
}
if(ii < d_n_elem)
{
d_m.at( ii + d_row_offset, ii + d_col_offset) /= x_mem[ii];
}
}
else
{
typename Proxy<T1>::ea_type Pea = P.get_ea();
uword ii,jj;
for(ii=0, jj=1; jj < d_n_elem; ii+=2, jj+=2)
{
const eT tmp_i = Pea[ii];
const eT tmp_j = Pea[jj];
d_m.at( ii + d_row_offset, ii + d_col_offset) /= tmp_i;
d_m.at( jj + d_row_offset, jj + d_col_offset) /= tmp_j;
}
if(ii < d_n_elem)
{
d_m.at( ii + d_row_offset, ii + d_col_offset) /= Pea[ii];
}
}
}
inline
arma_warn_unused
typename T1::pod_type
norm
(
const Base<typename T1::elem_type,T1>& X,
const char* method,
const typename arma_float_or_cx_only<typename T1::elem_type>::result* junk = 0
)
{
arma_extra_debug_sigprint();
arma_ignore(junk);
typedef typename T1::elem_type eT;
typedef typename T1::pod_type T;
const Proxy<T1> A(X.get_ref());
if(A.get_n_elem() == 0)
{
return T(0);
}
const char sig = method[0];
const bool is_vec = (A.get_n_rows() == 1) || (A.get_n_cols() == 1);
if(is_vec == true)
{
if( (sig == 'i') || (sig == 'I') || (sig == '+') ) // max norm
{
return arma_vec_norm_max(A);
}
else
if(sig == '-') // min norm
{
return arma_vec_norm_min(A);
}
else
if( (sig == 'f') || (sig == 'F') )
{
return arma_vec_norm_2(A);
}
else
{
arma_stop("norm(): unsupported vector norm type");
return T(0);
}
}
else
{
if( (sig == 'i') || (sig == 'I') || (sig == '+') ) // inf norm
{
return arma_mat_norm_inf(A);
}
else
if( (sig == 'f') || (sig == 'F') )
{
return arma_vec_norm_2(A);
}
else
{
arma_stop("norm(): unsupported matrix norm type");
return T(0);
}
}
}
inline
bool
op_pinv::apply_direct(Mat<typename T1::elem_type>& out, const Base<typename T1::elem_type,T1>& expr, typename T1::pod_type tol, const bool use_divide_and_conquer)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
typedef typename T1::pod_type T;
arma_debug_check((tol < T(0)), "pinv(): tolerance must be >= 0");
const Proxy<T1> P(expr.get_ref());
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
if( (n_rows*n_cols) == 0 )
{
out.set_size(n_cols,n_rows);
return true;
}
// economical SVD decomposition
Mat<eT> U;
Col< T> s;
Mat<eT> V;
bool status = false;
if(use_divide_and_conquer)
{
status = (n_cols > n_rows) ? auxlib::svd_dc_econ(U, s, V, trans(P.Q)) : auxlib::svd_dc_econ(U, s, V, P.Q);
}
else
{
status = (n_cols > n_rows) ? auxlib::svd_econ(U, s, V, trans(P.Q), 'b') : auxlib::svd_econ(U, s, V, P.Q, 'b');
}
if(status == false)
{
out.soft_reset();
return false;
}
const uword s_n_elem = s.n_elem;
const T* s_mem = s.memptr();
// set tolerance to default if it hasn't been specified
if( (tol == T(0)) && (s_n_elem > 0) )
{
tol = (std::max)(n_rows, n_cols) * s_mem[0] * std::numeric_limits<T>::epsilon();
}
uword count = 0;
for(uword i = 0; i < s_n_elem; ++i)
{
count += (s_mem[i] >= tol) ? uword(1) : uword(0);
}
if(count > 0)
{
Col<T> s2(count);
T* s2_mem = s2.memptr();
uword count2 = 0;
for(uword i=0; i < s_n_elem; ++i)
{
const T val = s_mem[i];
if(val >= tol) { s2_mem[count2] = T(1) / val; ++count2; }
}
if(n_rows >= n_cols)
{
out = ( (V.n_cols > count) ? V.cols(0,count-1) : V ) * diagmat(s2) * trans( (U.n_cols > count) ? U.cols(0,count-1) : U );
}
else
{
out = ( (U.n_cols > count) ? U.cols(0,count-1) : U ) * diagmat(s2) * trans( (V.n_cols > count) ? V.cols(0,count-1) : V );
}
}
else
{
out.zeros(n_cols, n_rows);
}
return true;
}
inline
bool
arma_sort_index_helper(Mat<uword>& out, const Proxy<T1>& P, const uword sort_type, typename arma_not_cx<typename T1::elem_type>::result* junk = 0)
{
arma_extra_debug_sigprint();
arma_ignore(junk);
typedef typename T1::elem_type eT;
const uword n_elem = P.get_n_elem();
out.set_size(n_elem, 1);
std::vector< arma_sort_index_packet<eT, uword> > packet_vec(n_elem);
if(Proxy<T1>::prefer_at_accessor == false)
{
for(uword i=0; i<n_elem; ++i)
{
const eT val = P[i];
if(arma_isnan(val)) { out.reset(); return false; }
packet_vec[i].val = val;
packet_vec[i].index = i;
}
}
else
{
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
uword i = 0;
for(uword col=0; col < n_cols; ++col)
for(uword row=0; row < n_rows; ++row)
{
const eT val = P.at(row,col);
if(arma_isnan(val)) { out.reset(); return false; }
packet_vec[i].val = val;
packet_vec[i].index = i;
++i;
}
}
if(sort_type == 0)
{
// ascend
arma_sort_index_helper_ascend comparator;
if(sort_stable == false)
{
std::sort( packet_vec.begin(), packet_vec.end(), comparator );
}
else
{
std::stable_sort( packet_vec.begin(), packet_vec.end(), comparator );
}
}
else
{
// descend
arma_sort_index_helper_descend comparator;
if(sort_stable == false)
{
std::sort( packet_vec.begin(), packet_vec.end(), comparator );
}
else
{
std::stable_sort( packet_vec.begin(), packet_vec.end(), comparator );
}
}
uword* out_mem = out.memptr();
for(uword i=0; i<n_elem; ++i)
{
out_mem[i] = packet_vec[i].index;
}
return true;
}
inline
typename arma_not_cx<typename T1::elem_type>::result
op_min::min_with_index(const Proxy<T1>& P, uword& index_of_min_val)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
const uword n_elem = P.get_n_elem();
if(n_elem == 0)
{
arma_debug_check(true, "min(): object has no elements");
return Datum<eT>::nan;
}
eT best_val = priv::most_pos<eT>();
uword best_index = 0;
if(Proxy<T1>::use_at == false)
{
typedef typename Proxy<T1>::ea_type ea_type;
ea_type A = P.get_ea();
for(uword i=0; i<n_elem; ++i)
{
const eT tmp = A[i];
if(tmp < best_val) { best_val = tmp; best_index = i; }
}
}
else
{
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
if(n_rows == 1)
{
for(uword i=0; i < n_cols; ++i)
{
const eT tmp = P.at(0,i);
if(tmp < best_val) { best_val = tmp; best_index = i; }
}
}
else
if(n_cols == 1)
{
for(uword i=0; i < n_rows; ++i)
{
const eT tmp = P.at(i,0);
if(tmp < best_val) { best_val = tmp; best_index = i; }
}
}
else
{
uword count = 0;
for(uword col=0; col < n_cols; ++col)
for(uword row=0; row < n_rows; ++row)
{
const eT tmp = P.at(row,col);
if(tmp < best_val) { best_val = tmp; best_index = count; }
++count;
}
}
}
index_of_min_val = best_index;
return best_val;
}
inline
typename arma_cx_only<typename T1::elem_type>::result
op_min::min(const Base<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 Proxy<T1> P(X.get_ref());
const uword n_elem = P.get_n_elem();
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(Proxy<T1>::use_at == false)
{
typedef typename Proxy<T1>::ea_type ea_type;
ea_type A = P.get_ea();
uword index = 0;
for(uword i=0; i<n_elem; ++i)
{
const T tmp = std::abs(A[i]);
if(tmp < min_val)
{
min_val = tmp;
index = i;
}
}
return( A[index] );
}
else
{
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
uword best_row = 0;
uword best_col = 0;
if(n_rows == 1)
{
for(uword col=0; col < n_cols; ++col)
{
const T tmp = std::abs(P.at(0,col));
if(tmp < min_val)
{
min_val = tmp;
best_col = col;
}
}
}
else
{
for(uword col=0; col < n_cols; ++col)
for(uword row=0; row < n_rows; ++row)
{
const T tmp = std::abs(P.at(row,col));
if(tmp < min_val)
{
min_val = tmp;
best_row = row;
best_col = col;
}
}
}
return P.at(best_row, best_col);
}
}
inline
typename arma_not_cx<typename T1::elem_type>::result
op_min::min(const Base<typename T1::elem_type,T1>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
const Proxy<T1> P(X.get_ref());
const uword n_elem = P.get_n_elem();
if(n_elem == 0)
{
arma_debug_check(true, "min(): object has no elements");
return Datum<eT>::nan;
}
eT min_val = priv::most_pos<eT>();
if(Proxy<T1>::use_at == false)
{
typedef typename Proxy<T1>::ea_type ea_type;
ea_type A = P.get_ea();
uword i,j;
for(i=0, j=1; j<n_elem; i+=2, j+=2)
{
const eT tmp_i = A[i];
const eT tmp_j = A[j];
if(tmp_i < min_val) { min_val = tmp_i; }
if(tmp_j < min_val) { min_val = tmp_j; }
}
if(i < n_elem)
{
const eT tmp_i = A[i];
if(tmp_i < min_val) { min_val = tmp_i; }
}
}
else
{
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
if(n_rows == 1)
{
uword i,j;
for(i=0, j=1; j < n_cols; i+=2, j+=2)
{
const eT tmp_i = P.at(0,i);
const eT tmp_j = P.at(0,j);
if(tmp_i < min_val) { min_val = tmp_i; }
if(tmp_j < min_val) { min_val = tmp_j; }
}
if(i < n_cols)
{
const eT tmp_i = P.at(0,i);
if(tmp_i < min_val) { min_val = tmp_i; }
}
}
else
{
for(uword col=0; col < n_cols; ++col)
{
uword i,j;
for(i=0, j=1; j < n_rows; i+=2, j+=2)
{
const eT tmp_i = P.at(i,col);
const eT tmp_j = P.at(j,col);
if(tmp_i < min_val) { min_val = tmp_i; }
if(tmp_j < min_val) { min_val = tmp_j; }
}
if(i < n_rows)
{
const eT tmp_i = P.at(i,col);
if(tmp_i < min_val) { min_val = tmp_i; }
}
}
}
}
return min_val;
}
arma_hot
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.is_finite() == false)
{
// TODO: replace with dedicated handling to avoid unwrapping
op_mean::apply_noalias_unwrap(out, P, dim);
}
}
inline
void
op_all::apply_helper(Mat<uword>& out, const Proxy<T1>& P, const uword dim)
{
arma_extra_debug_sigprint();
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
typedef typename Proxy<T1>::elem_type eT;
if(dim == 0) // traverse rows (ie. process each column)
{
out.zeros(1, n_cols);
if(out.n_elem == 0) { return; }
uword* out_mem = out.memptr();
if(is_Mat<typename Proxy<T1>::stored_type>::value == true)
{
const unwrap<typename Proxy<T1>::stored_type> U(P.Q);
for(uword col=0; col < n_cols; ++col)
{
const eT* colmem = U.M.colptr(col);
uword count = 0;
for(uword row=0; row < n_rows; ++row)
{
if(colmem[row] != eT(0)) { ++count; }
}
out_mem[col] = (n_rows == count) ? uword(1) : uword(0);
}
}
else
{
for(uword col=0; col < n_cols; ++col)
{
uword count = 0;
for(uword row=0; row < n_rows; ++row)
{
if(P.at(row,col) != eT(0)) { ++count; }
}
out_mem[col] = (n_rows == count) ? uword(1) : uword(0);
}
}
}
else
{
out.zeros(n_rows, 1);
uword* out_mem = out.memptr();
// internal dual use of 'out': keep the counts for each row
if(is_Mat<typename Proxy<T1>::stored_type>::value == true)
{
const unwrap<typename Proxy<T1>::stored_type> U(P.Q);
for(uword col=0; col < n_cols; ++col)
{
const eT* colmem = U.M.colptr(col);
for(uword row=0; row < n_rows; ++row)
{
if(colmem[row] != eT(0)) { ++out_mem[row]; }
}
}
}
else
{
for(uword col=0; col < n_cols; ++col)
{
for(uword row=0; row < n_rows; ++row)
{
if(P.at(row,col) != eT(0)) { ++out_mem[row]; }
}
}
}
// see what the counts tell us
for(uword row=0; row < n_rows; ++row)
{
out_mem[row] = (n_cols == out_mem[row]) ? uword(1) : uword(0);
}
}
}
inline
typename arma_not_cx<typename T1::elem_type>::result
op_max::max(const Base<typename T1::elem_type,T1>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
const Proxy<T1> P(X.get_ref());
const uword n_elem = P.get_n_elem();
arma_debug_check( (n_elem == 0), "max(): given object has no elements" );
eT max_val = priv::most_neg<eT>();
if(Proxy<T1>::prefer_at_accessor == false)
{
typedef typename Proxy<T1>::ea_type ea_type;
ea_type A = P.get_ea();
uword i,j;
for(i=0, j=1; j<n_elem; i+=2, j+=2)
{
const eT tmp_i = A[i];
const eT tmp_j = A[j];
if(tmp_i > max_val) { max_val = tmp_i; }
if(tmp_j > max_val) { max_val = tmp_j; }
}
if(i < n_elem)
{
const eT tmp_i = A[i];
if(tmp_i > max_val) { max_val = tmp_i; }
}
}
else
{
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
if(n_rows == 1)
{
uword i,j;
for(i=0, j=1; j < n_cols; i+=2, j+=2)
{
const eT tmp_i = P.at(0,i);
const eT tmp_j = P.at(0,j);
if(tmp_i > max_val) { max_val = tmp_i; }
if(tmp_j > max_val) { max_val = tmp_j; }
}
if(i < n_cols)
{
const eT tmp_i = P.at(0,i);
if(tmp_i > max_val) { max_val = tmp_i; }
}
}
else
{
for(uword col=0; col < n_cols; ++col)
{
uword i,j;
for(i=0, j=1; j < n_rows; i+=2, j+=2)
{
const eT tmp_i = P.at(i,col);
const eT tmp_j = P.at(j,col);
if(tmp_i > max_val) { max_val = tmp_i; }
if(tmp_j > max_val) { max_val = tmp_j; }
}
if(i < n_rows)
{
const eT tmp_i = P.at(i,col);
if(tmp_i > max_val) { max_val = tmp_i; }
}
}
}
}
return max_val;
}
arma_hot
inline
typename T1::pod_type
arma_vec_norm_1(const Proxy<T1>& P)
{
arma_extra_debug_sigprint();
typedef typename T1::pod_type T;
T acc = T(0);
if(Proxy<T1>::prefer_at_accessor == false)
{
typename Proxy<T1>::ea_type A = P.get_ea();
const uword N = P.get_n_elem();
T acc1 = T(0);
T acc2 = T(0);
uword i,j;
for(i=0, j=1; j<N; i+=2, j+=2)
{
acc1 += std::abs(A[i]);
acc2 += std::abs(A[j]);
}
if(i < N)
{
acc1 += std::abs(A[i]);
}
acc = acc1 + acc2;
}
else
{
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
if(n_rows == 1)
{
for(uword col=0; col<n_cols; ++col)
{
acc += std::abs(P.at(0,col));
}
}
else
{
for(uword col=0; col<n_cols; ++col)
{
uword i,j;
for(i=0, j=1; j<n_rows; i+=2, j+=2)
{
acc += std::abs(P.at(i,col));
acc += std::abs(P.at(j,col));
}
if(i < n_rows)
{
acc += std::abs(P.at(i,col));
}
}
}
}
return acc;
}
inline
typename arma_cx_only<typename T1::elem_type>::result
op_max::max(const Base<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 Proxy<T1> P(X.get_ref());
const uword n_elem = P.get_n_elem();
arma_debug_check( (n_elem == 0), "max(): given object has no elements" );
T max_val = priv::most_neg<T>();
if(Proxy<T1>::prefer_at_accessor == false)
{
typedef typename Proxy<T1>::ea_type ea_type;
ea_type A = P.get_ea();
uword index = 0;
for(uword i=0; i<n_elem; ++i)
{
const T tmp = std::abs(A[i]);
if(tmp > max_val)
{
max_val = tmp;
index = i;
}
}
return( A[index] );
}
else
{
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
uword best_row = 0;
uword best_col = 0;
if(n_rows == 1)
{
for(uword col=0; col < n_cols; ++col)
{
const T tmp = std::abs(P.at(0,col));
if(tmp > max_val)
{
max_val = tmp;
best_col = col;
}
}
}
else
{
for(uword col=0; col < n_cols; ++col)
for(uword row=0; row < n_rows; ++row)
{
const T tmp = std::abs(P.at(row,col));
if(tmp > max_val)
{
max_val = tmp;
best_row = row;
best_col = col;
}
}
}
return P.at(best_row, best_col);
}
}
arma_hot
inline
typename T1::pod_type
arma_vec_norm_min(const Proxy<T1>& P)
{
arma_extra_debug_sigprint();
typedef typename T1::pod_type T;
const uword N = P.get_n_elem();
T min_val = (N != 1) ? priv::most_pos<T>() : std::abs(P[0]);
if(Proxy<T1>::prefer_at_accessor == false)
{
typename Proxy<T1>::ea_type A = P.get_ea();
uword i,j;
for(i=0, j=1; j<N; i+=2, j+=2)
{
const T tmp_i = std::abs(A[i]);
const T tmp_j = std::abs(A[j]);
if(min_val > tmp_i) {
min_val = tmp_i;
}
if(min_val > tmp_j) {
min_val = tmp_j;
}
}
if(i < N)
{
const T tmp_i = std::abs(A[i]);
if(min_val > tmp_i) {
min_val = tmp_i;
}
}
}
else
{
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
if(n_rows != 1)
{
for(uword col=0; col < n_cols; ++col)
for(uword row=0; row < n_rows; ++row)
{
const T tmp = std::abs(P.at(row,col));
if(min_val > tmp) {
min_val = tmp;
}
}
}
else
{
for(uword col=0; col < n_cols; ++col)
{
const T tmp = std::abs(P.at(0,col));
if(min_val > tmp) {
min_val = tmp;
}
}
}
}
return min_val;
}
inline
void
glue_mixed_plus::apply(Mat<typename eT_promoter<T1,T2>::eT>& out, const mtGlue<typename eT_promoter<T1,T2>::eT, T1, T2, glue_mixed_plus>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT1;
typedef typename T2::elem_type eT2;
typedef typename promote_type<eT1,eT2>::result out_eT;
promote_type<eT1,eT2>::check();
const Proxy<T1> A(X.A);
const Proxy<T2> B(X.B);
arma_debug_assert_same_size(A, B, "addition");
const uword n_rows = A.get_n_rows();
const uword n_cols = A.get_n_cols();
out.set_size(n_rows, n_cols);
out_eT* out_mem = out.memptr();
const uword n_elem = out.n_elem;
const bool prefer_at_accessor = (Proxy<T1>::prefer_at_accessor || Proxy<T2>::prefer_at_accessor);
if(prefer_at_accessor == false)
{
typename Proxy<T1>::ea_type AA = A.get_ea();
typename Proxy<T2>::ea_type BB = B.get_ea();
if(memory::is_aligned(out_mem))
{
memory::mark_as_aligned(out_mem);
for(uword i=0; i<n_elem; ++i)
{
out_mem[i] = upgrade_val<eT1,eT2>::apply(AA[i]) + upgrade_val<eT1,eT2>::apply(BB[i]);
}
}
else
{
for(uword i=0; i<n_elem; ++i)
{
out_mem[i] = upgrade_val<eT1,eT2>::apply(AA[i]) + upgrade_val<eT1,eT2>::apply(BB[i]);
}
}
}
else
{
uword i = 0;
for(uword col=0; col < n_cols; ++col)
for(uword row=0; row < n_rows; ++row)
{
out_mem[i] = upgrade_val<eT1,eT2>::apply(A.at(row,col)) + upgrade_val<eT1,eT2>::apply(B.at(row,col));
++i;
}
}
}
inline
void
op_diagmat::apply(Mat<typename T1::elem_type>& out, const Op<T1, op_diagmat>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
const Proxy<T1> P(X.m);
const uword n_rows = P.get_n_rows();
const uword n_cols = P.get_n_cols();
const bool P_is_vec = (n_rows == 1) || (n_cols == 1);
if(P.is_alias(out) == false)
{
if(P_is_vec) // generate a diagonal matrix out of a vector
{
const uword N = (n_rows == 1) ? n_cols : n_rows;
out.zeros(N, N);
if(Proxy<T1>::prefer_at_accessor == false)
{
typename Proxy<T1>::ea_type P_ea = P.get_ea();
for(uword i=0; i < N; ++i) { out.at(i,i) = P_ea[i]; }
}
else
{
if(n_rows == 1)
{
for(uword i=0; i < N; ++i) { out.at(i,i) = P.at(0,i); }
}
else
{
for(uword i=0; i < N; ++i) { out.at(i,i) = P.at(i,0); }
}
}
}
else // generate a diagonal matrix out of a matrix
{
out.zeros(n_rows, n_cols);
const uword N = (std::min)(n_rows, n_cols);
for(uword i=0; i < N; ++i) { out.at(i,i) = P.at(i,i); }
}
}
else // we have aliasing
{
if(P_is_vec) // generate a diagonal matrix out of a vector
{
const uword N = (n_rows == 1) ? n_cols : n_rows;
podarray<eT> tmp(N);
eT* tmp_mem = tmp.memptr();
if(Proxy<T1>::prefer_at_accessor == false)
{
typename Proxy<T1>::ea_type P_ea = P.get_ea();
for(uword i=0; i < N; ++i) { tmp_mem[i] = P_ea[i]; }
}
else
{
if(n_rows == 1)
{
for(uword i=0; i < N; ++i) { tmp_mem[i] = P.at(0,i); }
}
else
{
for(uword i=0; i < N; ++i) { tmp_mem[i] = P.at(i,0); }
}
}
out.zeros(N, N);
for(uword i=0; i < N; ++i) { out.at(i,i) = tmp_mem[i]; }
}
else // generate a diagonal matrix out of a matrix
{
const uword N = (std::min)(n_rows, n_cols);
if( (Proxy<T1>::has_subview == false) && (Proxy<T1>::fake_mat == false) )
{
// NOTE: we have aliasing and it's not due to a subview, hence we're assuming that the output matrix already has the correct size
for(uword i=0; i < n_cols; ++i)
{
if(i < N)
{
const eT val = P.at(i,i);
arrayops::fill_zeros(out.colptr(i), n_rows);
out.at(i,i) = val;
}
else
{
arrayops::fill_zeros(out.colptr(i), n_rows);
}
}
}
else
{
podarray<eT> tmp(N);
eT* tmp_mem = tmp.memptr();
for(uword i=0; i < N; ++i) { tmp_mem[i] = P.at(i,i); }
out.zeros(n_rows, n_cols);
for(uword i=0; i < N; ++i) { out.at(i,i) = tmp_mem[i]; }
}
}
}
}
inline
arma_warn_unused
typename T1::pod_type
norm
(
const Base<typename T1::elem_type,T1>& X,
const uword k,
const typename arma_float_or_cx_only<typename T1::elem_type>::result* junk = 0
)
{
arma_extra_debug_sigprint();
arma_ignore(junk);
typedef typename T1::elem_type eT;
typedef typename T1::pod_type T;
const Proxy<T1> A(X.get_ref());
if(A.get_n_elem() == 0)
{
return T(0);
}
const bool is_vec = (A.get_n_rows() == 1) || (A.get_n_cols() == 1);
if(is_vec == true)
{
switch(k)
{
case 1:
return arma_vec_norm_1(A);
break;
case 2:
return arma_vec_norm_2(A);
break;
default:
{
arma_debug_check( (k == 0), "norm(): k must be greater than zero" );
return arma_vec_norm_k(A, int(k));
}
}
}
else
{
switch(k)
{
case 1:
return arma_mat_norm_1(A);
break;
case 2:
return arma_mat_norm_2(A);
break;
default:
arma_stop("norm(): unsupported matrix norm type");
return T(0);
}
}
}
inline
void
op_unique::apply(Mat<typename T1::elem_type>& out, const Op<T1, op_unique>& X)
{
arma_extra_debug_sigprint();
typedef typename T1::elem_type eT;
const Proxy<T1> P(X.m);
const uword in_n_rows = P.get_n_rows();
const uword in_n_cols = P.get_n_cols();
const uword in_n_elem = P.get_n_elem();
if(in_n_elem <= 1)
{
if(in_n_elem == 1)
{
const eT tmp = P[0];
out.set_size(in_n_rows, in_n_cols);
out[0] = tmp;
}
else
{
out.set_size(in_n_rows, in_n_cols);
}
return;
}
std::vector<eT> lvec(in_n_elem);
if(Proxy<T1>::prefer_at_accessor == false)
{
typename Proxy<T1>::ea_type Pea = P.get_ea();
uword i,j;
for(i=0, j=1; j < in_n_elem; i+=2, j+=2)
{
const eT tmp_i = Pea[i];
const eT tmp_j = Pea[j];
lvec[i] = tmp_i;
lvec[j] = tmp_j;
}
if(i < in_n_elem)
{
lvec[i] = Pea[i];
}
}
else
{
uword i = 0;
for(uword col=0; col < in_n_cols; ++col)
for(uword row=0; row < in_n_rows; ++row, ++i)
{
lvec[i] = P.at(row,col);
}
}
std::sort( lvec.begin(), lvec.end() );
uword N_unique = 1;
for(uword i=1; i < in_n_elem; ++i)
{
const eT a = lvec[i-1];
const eT b = lvec[i ];
const eT diff = a - b;
if(diff != eT(0)) { ++N_unique; }
}
uword out_n_rows;
uword out_n_cols;
if( (in_n_rows == 1) || (in_n_cols == 1) )
{
if(in_n_rows == 1)
{
out_n_rows = 1;
out_n_cols = N_unique;
}
else
{
out_n_rows = N_unique;
out_n_cols = 1;
}
}
else
{
out_n_rows = N_unique;
out_n_cols = 1;
}
// we don't need to worry about aliasing at this stage, as all the data is stored in lvec
out.set_size(out_n_rows, out_n_cols);
eT* out_mem = out.memptr();
if(in_n_elem > 0) { out_mem[0] = lvec[0]; }
N_unique = 1;
for(uword i=1; i < in_n_elem; ++i)
{
const eT a = lvec[i-1];
const eT b = lvec[i ];
const eT diff = a - b;
if(diff != eT(0))
{
out_mem[N_unique] = b;
++N_unique;
}
}
}
arma_hot
inline
typename T1::pod_type
arma_vec_norm_2(const Proxy<T1>& A, const typename arma_not_cx<typename T1::elem_type>::result* junk = 0)
{
arma_extra_debug_sigprint();
arma_ignore(junk);
typedef typename T1::pod_type T;
T acc = T(0);
if(Proxy<T1>::prefer_at_accessor == false)
{
typename Proxy<T1>::ea_type P = A.get_ea();
const uword N = A.get_n_elem();
uword i,j;
for(i=0, j=1; j<N; i+=2, j+=2)
{
const T tmp_i = P[i];
const T tmp_j = P[j];
acc += tmp_i * tmp_i;
acc += tmp_j * tmp_j;
}
if(i < N)
{
const T tmp_i = P[i];
acc += tmp_i * tmp_i;
}
}
else
{
const uword n_rows = A.get_n_rows();
const uword n_cols = A.get_n_cols();
for(uword col=0; col<n_cols; ++col)
{
uword i,j;
for(i=0, j=1; j<n_rows; i+=2, j+=2)
{
const T tmp_i = A.at(i,col);
const T tmp_j = A.at(j,col);
acc += tmp_i * tmp_i;
acc += tmp_j * tmp_j;
}
if(i < n_rows)
{
const T tmp_i = A.at(i,col);
acc += tmp_i * tmp_i;
}
}
}
return std::sqrt(acc);
}
inline
typename
enable_if2
<
(is_arma_sparse_type<T1>::value && is_arma_type<T2>::value && is_same_type<typename T1::elem_type, typename T2::elem_type>::value),
SpMat<typename T1::elem_type>
>::result
operator/
(
const SpBase<typename T1::elem_type, T1>& x,
const Base<typename T2::elem_type, T2>& y
)
{
arma_extra_debug_sigprint();
const SpProxy<T1> pa(x.get_ref());
const Proxy<T2> pb(y.get_ref());
arma_debug_assert_same_size(pa.get_n_rows(), pa.get_n_cols(), pb.get_n_rows(), pb.get_n_cols(), "element-wise division");
SpMat<typename T1::elem_type> result(pa.get_n_rows(), pa.get_n_cols());
// The compiler should be smart enough to optimize out the inner if/else statement entirely
typename SpProxy<T1>::const_iterator_type it = pa.begin();
uword new_n_nonzero;
while(it.pos() < pa.get_n_nonzero())
{
if(Proxy<T2>::prefer_at_accessor == false)
{
const typename T1::elem_type val = (*it) / pb[(it.col() * pb.get_n_rows()) + it.row()];
if(val != 0)
{
++new_n_nonzero;
}
}
else
{
const typename T1::elem_type val = (*it) / pb.at(it.row(), it.col());
if(val != 0)
{
++new_n_nonzero;
}
}
++it;
}
result.mem_resize(new_n_nonzero);
typename SpProxy<T1>::const_iterator_type it2 = pa.begin();
uword cur_pos = 0;
while(it2.pos() < pa.get_n_nonzero())
{
if(Proxy<T2>::prefer_at_accessor == false)
{
const typename T1::elem_type val = (*it2) / pb[(it2.col() * pb.get_n_rows()) + it2.row()];
if(val != 0)
{
access::rw(result.values[cur_pos]) = val;
access::rw(result.row_indices[cur_pos]) = it2.row();
++access::rw(result.col_ptrs[it2.col() + 1]);
++cur_pos;
}
}
else
{
const typename T1::elem_type val = (*it2) / pb.at(it2.row(), it2.col());
if(val != 0)
{
access::rw(result.values[cur_pos]) = val;
access::rw(result.row_indices[cur_pos]) = it2.row();
++access::rw(result.col_ptrs[it2.col() + 1]);
++cur_pos;
}
}
++it2;
}
// Fix column pointers
for(uword col = 1; col <= result.n_cols; ++col)
{
access::rw(result.col_ptrs[col]) += result.col_ptrs[col - 1];
}
return result;
}