static void invoke( char const range, char const order, integer_t const n, real_type const vl, real_type const vu, integer_t const il, integer_t const iu, real_type const abstol, VectorD& d, VectorE& e, integer_t& m, integer_t& nsplit, VectorW& w, VectorIBLOCK& iblock, VectorISPLIT& isplit, integer_t& info, detail::workspace2< WORK, IWORK > work ) { BOOST_STATIC_ASSERT( (boost::is_same< typename traits::vector_traits< VectorD >::value_type, typename traits::vector_traits< VectorE >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::vector_traits< VectorD >::value_type, typename traits::vector_traits< VectorW >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::vector_traits< VectorIBLOCK >::value_type, typename traits::vector_traits< VectorISPLIT >::value_type >::value) ); BOOST_ASSERT( range == 'A' || range == 'V' || range == 'I' ); BOOST_ASSERT( order == 'B' || order == 'E' ); BOOST_ASSERT( n >= 0 ); BOOST_ASSERT( traits::vector_size(d) >= n ); BOOST_ASSERT( traits::vector_size(e) >= n-1 ); BOOST_ASSERT( traits::vector_size(w) >= n ); BOOST_ASSERT( traits::vector_size(isplit) >= n ); BOOST_ASSERT( traits::vector_size(work.select(real_type())) >= min_size_work( n )); BOOST_ASSERT( traits::vector_size(work.select(integer_t())) >= min_size_iwork( n )); detail::stebz( range, order, n, vl, vu, il, iu, abstol, traits::vector_storage(d), traits::vector_storage(e), m, nsplit, traits::vector_storage(w), traits::vector_storage(iblock), traits::vector_storage(isplit), traits::vector_storage(work.select(real_type())), traits::vector_storage(work.select(integer_t())), info ); }
static void invoke( char const jobz, char const range, MatrixA& a, real_type const vl, real_type const vu, integer_t const il, integer_t const iu, real_type const abstol, integer_t& m, VectorW& w, MatrixZ& z, VectorIFAIL& ifail, integer_t& info, detail::workspace3< WORK, RWORK, IWORK > work ) { BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixA >::value_type, typename traits::matrix_traits< MatrixZ >::value_type >::value) ); BOOST_ASSERT( jobz == 'N' || jobz == 'V' ); BOOST_ASSERT( range == 'A' || range == 'V' || range == 'I' ); BOOST_ASSERT( traits::matrix_uplo_tag(a) == 'U' || traits::matrix_uplo_tag(a) == 'L' ); BOOST_ASSERT( traits::matrix_num_columns(a) >= 0 ); BOOST_ASSERT( traits::leading_dimension(a) >= std::max(1, traits::matrix_num_columns(a)) ); BOOST_ASSERT( traits::vector_size(w) >= traits::matrix_num_columns(a) ); BOOST_ASSERT( traits::vector_size(work.select(value_type())) >= min_size_work( traits::matrix_num_columns(a) )); BOOST_ASSERT( traits::vector_size(work.select(real_type())) >= min_size_rwork( traits::matrix_num_columns(a) )); BOOST_ASSERT( traits::vector_size(work.select(integer_t())) >= min_size_iwork( traits::matrix_num_columns(a) )); detail::heevx( jobz, range, traits::matrix_uplo_tag(a), traits::matrix_num_columns(a), traits::matrix_storage(a), traits::leading_dimension(a), vl, vu, il, iu, abstol, m, traits::vector_storage(w), traits::matrix_storage(z), traits::leading_dimension(z), traits::vector_storage(work.select(value_type())), traits::vector_size(work.select(value_type())), traits::vector_storage(work.select(real_type())), traits::vector_storage(work.select(integer_t())), traits::vector_storage(ifail), info ); }
static std::ptrdiff_t invoke( const char jobz, const fortran_int_t n, VectorD& d, VectorE& e, MatrixZ& z, detail::workspace2< WORK, IWORK > work ) { namespace bindings = ::boost::numeric::bindings; BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< typename bindings::value_type< VectorD >::type >::type, typename remove_const< typename bindings::value_type< VectorE >::type >::type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< typename bindings::value_type< VectorD >::type >::type, typename remove_const< typename bindings::value_type< MatrixZ >::type >::type >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorD >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorE >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) ); BOOST_ASSERT( bindings::size(e) >= n-1 ); BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= min_size_iwork( jobz, n )); BOOST_ASSERT( bindings::size(work.select(real_type())) >= min_size_work( jobz, n )); BOOST_ASSERT( bindings::size_minor(z) == 1 || bindings::stride_minor(z) == 1 ); BOOST_ASSERT( jobz == 'N' || jobz == 'V' ); BOOST_ASSERT( n >= 0 ); return detail::stevd( jobz, n, bindings::begin_value(d), bindings::begin_value(e), bindings::begin_value(z), bindings::stride_major(z), bindings::begin_value(work.select(real_type())), bindings::size(work.select(real_type())), bindings::begin_value(work.select(fortran_int_t())), bindings::size(work.select(fortran_int_t())) ); }
static void invoke( integer_t const itype, char const jobz, integer_t const n, MatrixA& a, MatrixB& b, VectorW& w, integer_t& info, detail::workspace3< WORK, RWORK, IWORK > work ) { BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixA >::value_type, typename traits::matrix_traits< MatrixB >::value_type >::value) ); BOOST_ASSERT( jobz == 'N' || jobz == 'V' ); BOOST_ASSERT( traits::matrix_uplo_tag(a) == 'U' || traits::matrix_uplo_tag(a) == 'L' ); BOOST_ASSERT( n >= 0 ); BOOST_ASSERT( traits::leading_dimension(a) >= std::max(1,n) ); BOOST_ASSERT( traits::leading_dimension(b) >= std::max(1,n) ); BOOST_ASSERT( traits::vector_size(work.select(value_type())) >= min_size_work( jobz, n )); BOOST_ASSERT( traits::vector_size(work.select(real_type())) >= min_size_rwork( jobz, n )); BOOST_ASSERT( traits::vector_size(work.select(integer_t())) >= min_size_iwork( jobz, n )); detail::hegvd( itype, jobz, traits::matrix_uplo_tag(a), n, traits::matrix_storage(a), traits::leading_dimension(a), traits::matrix_storage(b), traits::leading_dimension(b), traits::vector_storage(w), traits::vector_storage(work.select(value_type())), traits::vector_size(work.select(value_type())), traits::vector_storage(work.select(real_type())), traits::vector_size(work.select(real_type())), traits::vector_storage(work.select(integer_t())), traits::vector_size(work.select(integer_t())), info ); }
static void invoke( char const jobz, MatrixA& a, VectorW& w, integer_t& info, minimal_workspace work ) { traits::detail::array< real_type > tmp_work( min_size_work( jobz, traits::matrix_num_columns(a) ) ); traits::detail::array< integer_t > tmp_iwork( min_size_iwork( jobz, traits::matrix_num_columns(a) ) ); invoke( jobz, a, w, info, workspace( tmp_work, tmp_iwork ) ); }
static void invoke( char const compz, integer_t const n, VectorD& d, VectorE& e, MatrixZ& z, integer_t& info, minimal_workspace work ) { traits::detail::array< real_type > tmp_work( min_size_work( $CALL_MIN_SIZE ) ); traits::detail::array< integer_t > tmp_iwork( min_size_iwork( compz, n ) ); invoke( compz, n, d, e, z, info, workspace( tmp_work, tmp_iwork ) ); }
static void invoke( integer_t const n, MatrixAP& ap, MatrixAFP& afp, VectorIPIV& ipiv, MatrixB& b, MatrixX& x, VectorFERR& ferr, VectorBERR& berr, integer_t& info, minimal_workspace work ) { traits::detail::array< real_type > tmp_work( min_size_work( n ) ); traits::detail::array< integer_t > tmp_iwork( min_size_iwork( n ) ); invoke( n, ap, afp, ipiv, b, x, ferr, berr, info, workspace( tmp_work, tmp_iwork ) ); }
static std::ptrdiff_t invoke( const char jobz, const fortran_int_t n, VectorD& d, VectorE& e, MatrixZ& z, minimal_workspace ) { namespace bindings = ::boost::numeric::bindings; bindings::detail::array< real_type > tmp_work( min_size_work( jobz, n ) ); bindings::detail::array< fortran_int_t > tmp_iwork( min_size_iwork( jobz, n ) ); return invoke( jobz, n, d, e, z, workspace( tmp_work, tmp_iwork ) ); }
static std::ptrdiff_t invoke( const char norm, const MatrixA& a, const real_type anorm, real_type& rcond, minimal_workspace ) { namespace bindings = ::boost::numeric::bindings; bindings::detail::array< real_type > tmp_work( min_size_work( bindings::size_column(a) ) ); bindings::detail::array< fortran_int_t > tmp_iwork( min_size_iwork( bindings::size_column(a) ) ); return invoke( norm, a, anorm, rcond, workspace( tmp_work, tmp_iwork ) ); }
static std::ptrdiff_t invoke( const char uplo, const char compq, const fortran_int_t n, VectorD& d, VectorE& e, MatrixU& u, MatrixVT& vt, VectorQ& q, VectorIQ& iq, minimal_workspace ) { namespace bindings = ::boost::numeric::bindings; bindings::detail::array< real_type > tmp_work( min_size_work( compq, n ) ); bindings::detail::array< fortran_int_t > tmp_iwork( min_size_iwork( n ) ); return invoke( uplo, compq, n, d, e, u, vt, q, iq, workspace( tmp_work, tmp_iwork ) ); }
static void invoke( char const jobz, char const range, integer_t const n, integer_t const ka, integer_t const kb, MatrixAB& ab, MatrixBB& bb, MatrixQ& q, real_type const vl, real_type const vu, integer_t const il, integer_t const iu, real_type const abstol, integer_t& m, VectorW& w, MatrixZ& z, VectorIFAIL& ifail, integer_t& info, minimal_workspace work ) { traits::detail::array< real_type > tmp_work( min_size_work( n ) ); traits::detail::array< integer_t > tmp_iwork( min_size_iwork( n ) ); invoke( jobz, range, n, ka, kb, ab, bb, q, vl, vu, il, iu, abstol, m, w, z, ifail, info, workspace( tmp_work, tmp_iwork ) ); }
static std::ptrdiff_t invoke( const MatrixAP& ap, const VectorIPIV& ipiv, const real_type anorm, real_type& rcond, minimal_workspace ) { namespace bindings = ::boost::numeric::bindings; typedef typename result_of::uplo_tag< MatrixAP >::type uplo; bindings::detail::array< real_type > tmp_work( min_size_work( bindings::size_column(ap) ) ); bindings::detail::array< fortran_int_t > tmp_iwork( min_size_iwork( bindings::size_column(ap) ) ); return invoke( ap, ipiv, anorm, rcond, workspace( tmp_work, tmp_iwork ) ); }
static void invoke( char const range, char const order, integer_t const n, real_type const vl, real_type const vu, integer_t const il, integer_t const iu, real_type const abstol, VectorD& d, VectorE& e, integer_t& m, integer_t& nsplit, VectorW& w, VectorIBLOCK& iblock, VectorISPLIT& isplit, integer_t& info, minimal_workspace work ) { traits::detail::array< real_type > tmp_work( min_size_work( n ) ); traits::detail::array< integer_t > tmp_iwork( min_size_iwork( n ) ); invoke( range, order, n, vl, vu, il, iu, abstol, d, e, m, nsplit, w, iblock, isplit, info, workspace( tmp_work, tmp_iwork ) ); }
static void invoke( char const fact, MatrixA& a, MatrixAF& af, char& equed, VectorS& s, MatrixB& b, MatrixX& x, real_type& rcond, VectorFERR& ferr, VectorBERR& berr, integer_t& info, minimal_workspace work ) { traits::detail::array< real_type > tmp_work( min_size_work( traits::matrix_num_columns(a) ) ); traits::detail::array< integer_t > tmp_iwork( min_size_iwork( traits::matrix_num_columns(a) ) ); invoke( fact, a, af, equed, s, b, x, rcond, ferr, berr, info, workspace( tmp_work, tmp_iwork ) ); }
static void invoke( char const fact, MatrixA& a, MatrixAF& af, char& equed, VectorS& s, MatrixB& b, MatrixX& x, real_type& rcond, VectorFERR& ferr, VectorBERR& berr, integer_t& info, detail::workspace2< WORK, IWORK > work ) { BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixA >::value_type, typename traits::matrix_traits< MatrixAF >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixA >::value_type, typename traits::vector_traits< VectorS >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixA >::value_type, typename traits::matrix_traits< MatrixB >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixA >::value_type, typename traits::matrix_traits< MatrixX >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixA >::value_type, typename traits::vector_traits< VectorFERR >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixA >::value_type, typename traits::vector_traits< VectorBERR >::value_type >::value) ); BOOST_ASSERT( fact == 'F' || fact == 'Y' || fact == 'N' || fact == 'E' ); BOOST_ASSERT( traits::matrix_uplo_tag(a) == 'U' || traits::matrix_uplo_tag(a) == 'L' ); BOOST_ASSERT( traits::matrix_num_columns(a) >= 0 ); BOOST_ASSERT( traits::matrix_num_columns(x) >= 0 ); BOOST_ASSERT( traits::leading_dimension(a) >= std::max(1, traits::matrix_num_columns(a)) ); BOOST_ASSERT( traits::leading_dimension(af) >= std::max(1, traits::matrix_num_columns(a)) ); BOOST_ASSERT( equed == 'N' || equed == 'Y' ); BOOST_ASSERT( traits::leading_dimension(b) >= std::max(1, traits::matrix_num_columns(a)) ); BOOST_ASSERT( traits::leading_dimension(x) >= std::max(1, traits::matrix_num_columns(a)) ); BOOST_ASSERT( traits::vector_size(berr) >= traits::matrix_num_columns(x) ); BOOST_ASSERT( traits::vector_size(work.select(real_type())) >= min_size_work( traits::matrix_num_columns(a) )); BOOST_ASSERT( traits::vector_size(work.select(integer_t())) >= min_size_iwork( traits::matrix_num_columns(a) )); detail::posvx( fact, traits::matrix_uplo_tag(a), traits::matrix_num_columns(a), traits::matrix_num_columns(x), traits::matrix_storage(a), traits::leading_dimension(a), traits::matrix_storage(af), traits::leading_dimension(af), equed, traits::vector_storage(s), traits::matrix_storage(b), traits::leading_dimension(b), traits::matrix_storage(x), traits::leading_dimension(x), rcond, traits::vector_storage(ferr), traits::vector_storage(berr), traits::vector_storage(work.select(real_type())), traits::vector_storage(work.select(integer_t())), info ); }
static void invoke( integer_t const itype, char const jobz, integer_t const n, MatrixA& a, MatrixB& b, VectorW& w, integer_t& info, minimal_workspace work ) { traits::detail::array< value_type > tmp_work( min_size_work( jobz, n ) ); traits::detail::array< real_type > tmp_rwork( min_size_rwork( jobz, n ) ); traits::detail::array< integer_t > tmp_iwork( min_size_iwork( jobz, n ) ); invoke( itype, jobz, n, a, b, w, info, workspace( tmp_work, tmp_rwork, tmp_iwork ) ); }
static std::ptrdiff_t invoke( const char range, const char order, const fortran_int_t n, const real_type vl, const real_type vu, const fortran_int_t il, const fortran_int_t iu, const real_type abstol, const VectorD& d, const VectorE& e, fortran_int_t& m, fortran_int_t& nsplit, VectorW& w, VectorIBLOCK& iblock, VectorISPLIT& isplit, minimal_workspace ) { namespace bindings = ::boost::numeric::bindings; bindings::detail::array< real_type > tmp_work( min_size_work( n ) ); bindings::detail::array< fortran_int_t > tmp_iwork( min_size_iwork( n ) ); return invoke( range, order, n, vl, vu, il, iu, abstol, d, e, m, nsplit, w, iblock, isplit, workspace( tmp_work, tmp_iwork ) ); }
static std::ptrdiff_t invoke( const char fact, MatrixAB& ab, MatrixAFB& afb, char& equed, VectorS& s, MatrixB& b, MatrixX& x, real_type& rcond, VectorFERR& ferr, VectorBERR& berr, minimal_workspace ) { namespace bindings = ::boost::numeric::bindings; typedef typename result_of::uplo_tag< MatrixAB >::type uplo; bindings::detail::array< real_type > tmp_work( min_size_work( bindings::size_column(ab) ) ); bindings::detail::array< fortran_int_t > tmp_iwork( min_size_iwork( bindings::size_column(ab) ) ); return invoke( fact, ab, afb, equed, s, b, x, rcond, ferr, berr, workspace( tmp_work, tmp_iwork ) ); }
static void invoke( char const jobz, char const range, MatrixA& a, real_type const vl, real_type const vu, integer_t const il, integer_t const iu, real_type const abstol, integer_t& m, VectorW& w, MatrixZ& z, VectorIFAIL& ifail, integer_t& info, minimal_workspace work ) { traits::detail::array< value_type > tmp_work( min_size_work( traits::matrix_num_columns(a) ) ); traits::detail::array< real_type > tmp_rwork( min_size_rwork( traits::matrix_num_columns(a) ) ); traits::detail::array< integer_t > tmp_iwork( min_size_iwork( traits::matrix_num_columns(a) ) ); invoke( jobz, range, a, vl, vu, il, iu, abstol, m, w, z, ifail, info, workspace( tmp_work, tmp_rwork, tmp_iwork ) ); }
static std::ptrdiff_t invoke( const char jobz, const char range, MatrixAP& ap, const real_type vl, const real_type vu, const fortran_int_t il, const fortran_int_t iu, const real_type abstol, fortran_int_t& m, VectorW& w, MatrixZ& z, VectorIFAIL& ifail, minimal_workspace ) { namespace bindings = ::boost::numeric::bindings; typedef typename result_of::uplo_tag< MatrixAP >::type uplo; bindings::detail::array< real_type > tmp_work( min_size_work( bindings::size_column(ap) ) ); bindings::detail::array< fortran_int_t > tmp_iwork( min_size_iwork( bindings::size_column(ap) ) ); return invoke( jobz, range, ap, vl, vu, il, iu, abstol, m, w, z, ifail, workspace( tmp_work, tmp_iwork ) ); }
static std::ptrdiff_t invoke( const char uplo, const char compq, const fortran_int_t n, VectorD& d, VectorE& e, MatrixU& u, MatrixVT& vt, VectorQ& q, VectorIQ& iq, detail::workspace2< WORK, IWORK > work ) { namespace bindings = ::boost::numeric::bindings; BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixU >::value) ); BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVT >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< typename bindings::value_type< VectorD >::type >::type, typename remove_const< typename bindings::value_type< VectorE >::type >::type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< typename bindings::value_type< VectorD >::type >::type, typename remove_const< typename bindings::value_type< MatrixU >::type >::type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< typename bindings::value_type< VectorD >::type >::type, typename remove_const< typename bindings::value_type< MatrixVT >::type >::type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< typename bindings::value_type< VectorD >::type >::type, typename remove_const< typename bindings::value_type< VectorQ >::type >::type >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorD >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorE >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixU >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVT >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorQ >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIQ >::value) ); BOOST_ASSERT( bindings::size(e) >= n-1 ); BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= min_size_iwork( n )); BOOST_ASSERT( bindings::size(work.select(real_type())) >= min_size_work( compq, n )); BOOST_ASSERT( bindings::size_minor(u) == 1 || bindings::stride_minor(u) == 1 ); BOOST_ASSERT( bindings::size_minor(vt) == 1 || bindings::stride_minor(vt) == 1 ); BOOST_ASSERT( compq == 'N' || compq == 'P' || compq == 'I' ); BOOST_ASSERT( n >= 0 ); return detail::bdsdc( uplo, compq, n, bindings::begin_value(d), bindings::begin_value(e), bindings::begin_value(u), bindings::stride_major(u), bindings::begin_value(vt), bindings::stride_major(vt), bindings::begin_value(q), bindings::begin_value(iq), bindings::begin_value(work.select(real_type())), bindings::begin_value(work.select(fortran_int_t())) ); }
static std::ptrdiff_t invoke( const MatrixAP& ap, const VectorIPIV& ipiv, const real_type anorm, real_type& rcond, detail::workspace2< WORK, IWORK > work ) { namespace bindings = ::boost::numeric::bindings; typedef typename result_of::uplo_tag< MatrixAP >::type uplo; BOOST_ASSERT( bindings::size(ipiv) >= bindings::size_column(ap) ); BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= min_size_iwork( bindings::size_column(ap) )); BOOST_ASSERT( bindings::size(work.select(real_type())) >= min_size_work( bindings::size_column(ap) )); BOOST_ASSERT( bindings::size_column(ap) >= 0 ); return detail::hpcon( uplo(), bindings::size_column(ap), bindings::begin_value(ap), bindings::begin_value(ipiv), anorm, rcond, bindings::begin_value(work.select(real_type())), bindings::begin_value(work.select(fortran_int_t())) ); }
static void invoke( integer_t const n, MatrixAP& ap, MatrixAFP& afp, VectorIPIV& ipiv, MatrixB& b, MatrixX& x, VectorFERR& ferr, VectorBERR& berr, integer_t& info, detail::workspace2< WORK, IWORK > work ) { BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixAP >::value_type, typename traits::matrix_traits< MatrixAFP >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixAP >::value_type, typename traits::matrix_traits< MatrixB >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixAP >::value_type, typename traits::matrix_traits< MatrixX >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixAP >::value_type, typename traits::vector_traits< VectorFERR >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixAP >::value_type, typename traits::vector_traits< VectorBERR >::value_type >::value) ); BOOST_ASSERT( traits::matrix_uplo_tag(a) == 'U' || traits::matrix_uplo_tag(a) == 'L' ); BOOST_ASSERT( n >= 0 ); BOOST_ASSERT( traits::matrix_num_columns(x) >= 0 ); BOOST_ASSERT( traits::vector_size(afp) >= n*(n+1)/2 ); BOOST_ASSERT( traits::vector_size(ipiv) >= n ); BOOST_ASSERT( traits::leading_dimension(b) >= std::max(1,n) ); BOOST_ASSERT( traits::leading_dimension(x) >= std::max(1,n) ); BOOST_ASSERT( traits::vector_size(berr) >= traits::matrix_num_columns(x) ); BOOST_ASSERT( traits::vector_size(work.select(real_type())) >= min_size_work( n )); BOOST_ASSERT( traits::vector_size(work.select(integer_t())) >= min_size_iwork( n )); detail::sprfs( traits::matrix_uplo_tag(a), n, traits::matrix_num_columns(x), traits::matrix_storage(ap), traits::matrix_storage(afp), traits::vector_storage(ipiv), traits::matrix_storage(b), traits::leading_dimension(b), traits::matrix_storage(x), traits::leading_dimension(x), traits::vector_storage(ferr), traits::vector_storage(berr), traits::vector_storage(work.select(real_type())), traits::vector_storage(work.select(integer_t())), info ); }
static std::ptrdiff_t invoke( const char norm, const MatrixA& a, const real_type anorm, real_type& rcond, detail::workspace2< WORK, IWORK > work ) { namespace bindings = ::boost::numeric::bindings; BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) ); BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= min_size_iwork( bindings::size_column(a) )); BOOST_ASSERT( bindings::size(work.select(real_type())) >= min_size_work( bindings::size_column(a) )); BOOST_ASSERT( bindings::size_column(a) >= 0 ); BOOST_ASSERT( bindings::size_minor(a) == 1 || bindings::stride_minor(a) == 1 ); BOOST_ASSERT( bindings::stride_major(a) >= std::max< std::ptrdiff_t >(1, bindings::size_column(a)) ); BOOST_ASSERT( norm == '1' || norm == 'O' || norm == 'I' ); return detail::gecon( norm, bindings::size_column(a), bindings::begin_value(a), bindings::stride_major(a), anorm, rcond, bindings::begin_value(work.select(real_type())), bindings::begin_value(work.select(fortran_int_t())) ); }
static void invoke( char const jobz, char const range, integer_t const n, integer_t const ka, integer_t const kb, MatrixAB& ab, MatrixBB& bb, MatrixQ& q, real_type const vl, real_type const vu, integer_t const il, integer_t const iu, real_type const abstol, integer_t& m, VectorW& w, MatrixZ& z, VectorIFAIL& ifail, integer_t& info, detail::workspace2< WORK, IWORK > work ) { BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixAB >::value_type, typename traits::matrix_traits< MatrixBB >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixAB >::value_type, typename traits::matrix_traits< MatrixQ >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixAB >::value_type, typename traits::vector_traits< VectorW >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixAB >::value_type, typename traits::matrix_traits< MatrixZ >::value_type >::value) ); BOOST_ASSERT( jobz == 'N' || jobz == 'V' ); BOOST_ASSERT( range == 'A' || range == 'V' || range == 'I' ); BOOST_ASSERT( traits::matrix_uplo_tag(ab) == 'U' || traits::matrix_uplo_tag(ab) == 'L' ); BOOST_ASSERT( n >= 0 ); BOOST_ASSERT( ka >= 0 ); BOOST_ASSERT( kb >= 0 ); BOOST_ASSERT( traits::leading_dimension(ab) >= ka+1 ); BOOST_ASSERT( traits::leading_dimension(bb) >= kb+1 ); BOOST_ASSERT( traits::vector_size(work.select(real_type())) >= min_size_work( n )); BOOST_ASSERT( traits::vector_size(work.select(integer_t())) >= min_size_iwork( n )); detail::sbgvx( jobz, range, traits::matrix_uplo_tag(ab), n, ka, kb, traits::matrix_storage(ab), traits::leading_dimension(ab), traits::matrix_storage(bb), traits::leading_dimension(bb), traits::matrix_storage(q), traits::leading_dimension(q), vl, vu, il, iu, abstol, m, traits::vector_storage(w), traits::matrix_storage(z), traits::leading_dimension(z), traits::vector_storage(work.select(real_type())), traits::vector_storage(work.select(integer_t())), traits::vector_storage(ifail), info ); }
static std::ptrdiff_t invoke( const char range, const char order, const fortran_int_t n, const real_type vl, const real_type vu, const fortran_int_t il, const fortran_int_t iu, const real_type abstol, const VectorD& d, const VectorE& e, fortran_int_t& m, fortran_int_t& nsplit, VectorW& w, VectorIBLOCK& iblock, VectorISPLIT& isplit, detail::workspace2< WORK, IWORK > work ) { namespace bindings = ::boost::numeric::bindings; BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< typename bindings::value_type< VectorD >::type >::type, typename remove_const< typename bindings::value_type< VectorE >::type >::type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< typename bindings::value_type< VectorD >::type >::type, typename remove_const< typename bindings::value_type< VectorW >::type >::type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< typename bindings::value_type< VectorIBLOCK >::type >::type, typename remove_const< typename bindings::value_type< VectorISPLIT >::type >::type >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorW >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIBLOCK >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorISPLIT >::value) ); BOOST_ASSERT( bindings::size(d) >= n ); BOOST_ASSERT( bindings::size(e) >= n-1 ); BOOST_ASSERT( bindings::size(isplit) >= n ); BOOST_ASSERT( bindings::size(w) >= n ); BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= min_size_iwork( n )); BOOST_ASSERT( bindings::size(work.select(real_type())) >= min_size_work( n )); BOOST_ASSERT( n >= 0 ); BOOST_ASSERT( order == 'B' || order == 'E' ); BOOST_ASSERT( range == 'A' || range == 'V' || range == 'I' ); return detail::stebz( range, order, n, vl, vu, il, iu, abstol, bindings::begin_value(d), bindings::begin_value(e), m, nsplit, bindings::begin_value(w), bindings::begin_value(iblock), bindings::begin_value(isplit), bindings::begin_value(work.select(real_type())), bindings::begin_value(work.select(fortran_int_t())) ); }
static std::ptrdiff_t invoke( const char jobz, const char range, MatrixAP& ap, const real_type vl, const real_type vu, const fortran_int_t il, const fortran_int_t iu, const real_type abstol, fortran_int_t& m, VectorW& w, MatrixZ& z, VectorIFAIL& ifail, detail::workspace2< WORK, IWORK > work ) { namespace bindings = ::boost::numeric::bindings; typedef typename result_of::uplo_tag< MatrixAP >::type uplo; BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixZ >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< typename bindings::value_type< MatrixAP >::type >::type, typename remove_const< typename bindings::value_type< VectorW >::type >::type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const< typename bindings::value_type< MatrixAP >::type >::type, typename remove_const< typename bindings::value_type< MatrixZ >::type >::type >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixAP >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorW >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixZ >::value) ); BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIFAIL >::value) ); BOOST_ASSERT( bindings::size(work.select(fortran_int_t())) >= min_size_iwork( bindings::size_column(ap) )); BOOST_ASSERT( bindings::size(work.select(real_type())) >= min_size_work( bindings::size_column(ap) )); BOOST_ASSERT( bindings::size_column(ap) >= 0 ); BOOST_ASSERT( bindings::size_minor(z) == 1 || bindings::stride_minor(z) == 1 ); BOOST_ASSERT( jobz == 'N' || jobz == 'V' ); BOOST_ASSERT( range == 'A' || range == 'V' || range == 'I' ); return detail::spevx( jobz, range, uplo(), bindings::size_column(ap), bindings::begin_value(ap), vl, vu, il, iu, abstol, m, bindings::begin_value(w), bindings::begin_value(z), bindings::stride_major(z), bindings::begin_value(work.select(real_type())), bindings::begin_value(work.select(fortran_int_t())), bindings::begin_value(ifail) ); }
static void invoke( char const jobz, MatrixA& a, VectorW& w, integer_t& info, detail::workspace2< WORK, IWORK > work ) { BOOST_STATIC_ASSERT( (boost::is_same< typename traits::matrix_traits< MatrixA >::value_type, typename traits::vector_traits< VectorW >::value_type >::value) ); BOOST_ASSERT( jobz == 'N' || jobz == 'V' ); BOOST_ASSERT( traits::matrix_uplo_tag(a) == 'U' || traits::matrix_uplo_tag(a) == 'L' ); BOOST_ASSERT( traits::matrix_num_columns(a) >= 0 ); BOOST_ASSERT( traits::leading_dimension(a) >= std::max(1, traits::matrix_num_columns(a)) ); BOOST_ASSERT( traits::vector_size(work.select(real_type())) >= min_size_work( jobz, traits::matrix_num_columns(a) )); BOOST_ASSERT( traits::vector_size(work.select(integer_t())) >= min_size_iwork( jobz, traits::matrix_num_columns(a) )); detail::syevd( jobz, traits::matrix_uplo_tag(a), traits::matrix_num_columns(a), traits::matrix_storage(a), traits::leading_dimension(a), traits::vector_storage(w), traits::vector_storage(work.select(real_type())), traits::vector_size(work.select(real_type())), traits::vector_storage(work.select(integer_t())), traits::vector_size(work.select(integer_t())), info ); }
static void invoke( char const jobz, char const range, MatrixA& a, real_type const vl, real_type const vu, integer_t const il, integer_t const iu, real_type const abstol, integer_t& m, VectorW& w, MatrixZ& z, VectorIFAIL& ifail, integer_t& info, optimal_workspace work ) { value_type opt_size_work; traits::detail::array< real_type > tmp_rwork( min_size_rwork( traits::matrix_num_columns(a) ) ); traits::detail::array< integer_t > tmp_iwork( min_size_iwork( traits::matrix_num_columns(a) ) ); detail::heevx( jobz, range, traits::matrix_uplo_tag(a), traits::matrix_num_columns(a), traits::matrix_storage(a), traits::leading_dimension(a), vl, vu, il, iu, abstol, m, traits::vector_storage(w), traits::matrix_storage(z), traits::leading_dimension(z), &opt_size_work, -1, traits::vector_storage(tmp_rwork), traits::vector_storage(tmp_iwork), traits::vector_storage(ifail), info ); traits::detail::array< value_type > tmp_work( traits::detail::to_int( opt_size_work ) ); invoke( jobz, range, a, vl, vu, il, iu, abstol, m, w, z, ifail, info, workspace( tmp_work, tmp_rwork, tmp_iwork ) ); }
static void invoke( char const compz, integer_t const n, VectorD& d, VectorE& e, MatrixZ& z, integer_t& info, detail::workspace2< WORK, IWORK > work ) { BOOST_STATIC_ASSERT( (boost::is_same< typename traits::vector_traits< VectorD >::value_type, typename traits::vector_traits< VectorE >::value_type >::value) ); BOOST_STATIC_ASSERT( (boost::is_same< typename traits::vector_traits< VectorD >::value_type, typename traits::matrix_traits< MatrixZ >::value_type >::value) ); BOOST_ASSERT( compz == 'N' || compz == 'I' || compz == 'V' ); BOOST_ASSERT( n >= 0 ); BOOST_ASSERT( traits::vector_size(e) >= n-1 ); BOOST_ASSERT( traits::vector_size(work.select(real_type())) >= min_size_work( $CALL_MIN_SIZE )); BOOST_ASSERT( traits::vector_size(work.select(integer_t())) >= min_size_iwork( compz, n )); detail::stedc( compz, n, traits::vector_storage(d), traits::vector_storage(e), traits::matrix_storage(z), traits::leading_dimension(z), traits::vector_storage(work.select(real_type())), traits::vector_size(work.select(real_type())), traits::vector_storage(work.select(integer_t())), traits::vector_size(work.select(integer_t())), info ); }