Пример #1
0
 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 );
 }
Пример #2
0
 static std::ptrdiff_t invoke( const VectorD& d, const VectorE& e,
         const real_type anorm, real_type& rcond, minimal_workspace ) {
     namespace bindings = ::boost::numeric::bindings;
     bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
             bindings::size(d) ) );
     return invoke( d, e, anorm, rcond, workspace( tmp_rwork ) );
 }
Пример #3
0
 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 );
 }
Пример #4
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 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< value_type > tmp_work( min_size_work( n ) );
     traits::detail::array< real_type > tmp_rwork( min_size_rwork( n ) );
     invoke( n, ap, afp, ipiv, b, x, ferr, berr, info, workspace( tmp_work,
             tmp_rwork ) );
 }
Пример #5
0
 static std::ptrdiff_t invoke( const Side side, const char eigsrc,
         const char initv, const VectorSELECT& select, const MatrixH& h,
         VectorW& w, MatrixVL& vl, MatrixVR& vr,
         const fortran_int_t mm, fortran_int_t& m,
         VectorIFAILL& ifaill, VectorIFAILR& ifailr, detail::workspace2<
         WORK, RWORK > work ) {
     namespace bindings = ::boost::numeric::bindings;
     BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixH >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVL >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixVR >::value) );
     BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
             typename bindings::value_type< VectorIFAILL >::type >::type,
             typename remove_const< typename bindings::value_type<
             VectorIFAILR >::type >::type >::value) );
     BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
             typename bindings::value_type< MatrixH >::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< MatrixH >::type >::type,
             typename remove_const< typename bindings::value_type<
             MatrixVL >::type >::type >::value) );
     BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
             typename bindings::value_type< MatrixH >::type >::type,
             typename remove_const< typename bindings::value_type<
             MatrixVR >::type >::type >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorW >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVL >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixVR >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIFAILL >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorIFAILR >::value) );
     BOOST_ASSERT( bindings::size(select) >= bindings::size_column(h) );
     BOOST_ASSERT( bindings::size(w) >= bindings::size_column(h) );
     BOOST_ASSERT( bindings::size(work.select(real_type())) >=
             min_size_rwork( bindings::size_column(h) ));
     BOOST_ASSERT( bindings::size(work.select(value_type())) >=
             min_size_work( bindings::size_column(h) ));
     BOOST_ASSERT( bindings::size_column(h) >= 0 );
     BOOST_ASSERT( bindings::size_minor(h) == 1 ||
             bindings::stride_minor(h) == 1 );
     BOOST_ASSERT( bindings::size_minor(vl) == 1 ||
             bindings::stride_minor(vl) == 1 );
     BOOST_ASSERT( bindings::size_minor(vr) == 1 ||
             bindings::stride_minor(vr) == 1 );
     BOOST_ASSERT( bindings::stride_major(h) >= std::max< std::ptrdiff_t >(1,
             bindings::size_column(h)) );
     BOOST_ASSERT( eigsrc == 'Q' || eigsrc == 'N' );
     BOOST_ASSERT( initv == 'N' || initv == 'U' );
     return detail::hsein( side, eigsrc, initv,
             bindings::begin_value(select), bindings::size_column(h),
             bindings::begin_value(h), bindings::stride_major(h),
             bindings::begin_value(w), bindings::begin_value(vl),
             bindings::stride_major(vl), bindings::begin_value(vr),
             bindings::stride_major(vr), mm, m,
             bindings::begin_value(work.select(value_type())),
             bindings::begin_value(work.select(real_type())),
             bindings::begin_value(ifaill), bindings::begin_value(ifailr) );
 }
Пример #6
0
 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< value_type > tmp_work( min_size_work(
             bindings::size_column(a) ) );
     bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
             bindings::size_column(a) ) );
     return invoke( norm, a, anorm, rcond, workspace( tmp_work,
             tmp_rwork ) );
 }
Пример #7
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 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< 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) ) );
     invoke( fact, a, af, equed, s, b, x, rcond, ferr, berr, info,
             workspace( tmp_work, tmp_rwork ) );
 }
Пример #8
0
 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 ) );
 }
Пример #9
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 static std::ptrdiff_t invoke( const VectorD& d, const VectorE& e,
         const real_type anorm, real_type& rcond, detail::workspace1<
         RWORK > work ) {
     namespace bindings = ::boost::numeric::bindings;
     BOOST_ASSERT( bindings::size(d) >= bindings::size(d) );
     BOOST_ASSERT( bindings::size(d) >= 0 );
     BOOST_ASSERT( bindings::size(e) >= bindings::size(d)-1 );
     BOOST_ASSERT( bindings::size(work.select(real_type())) >=
             min_size_rwork( bindings::size(d) ));
     return detail::ptcon( bindings::size(d), bindings::begin_value(d),
             bindings::begin_value(e), anorm, rcond,
             bindings::begin_value(work.select(real_type())) );
 }
Пример #10
0
 static std::ptrdiff_t invoke( const Side side, const char eigsrc,
         const char initv, const VectorSELECT& select, const MatrixH& h,
         VectorW& w, MatrixVL& vl, MatrixVR& vr,
         const fortran_int_t mm, fortran_int_t& m,
         VectorIFAILL& ifaill, VectorIFAILR& ifailr, minimal_workspace ) {
     namespace bindings = ::boost::numeric::bindings;
     bindings::detail::array< value_type > tmp_work( min_size_work(
             bindings::size_column(h) ) );
     bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
             bindings::size_column(h) ) );
     return invoke( side, eigsrc, initv, select, h, w, vl, vr, mm, m,
             ifaill, ifailr, workspace( tmp_work, tmp_rwork ) );
 }
Пример #11
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 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< value_type > tmp_work( min_size_work(
             bindings::size_column(ab) ) );
     bindings::detail::array< real_type > tmp_rwork( min_size_rwork(
             bindings::size_column(ab) ) );
     return invoke( fact, ab, afb, equed, s, b, x, rcond, ferr, berr,
             workspace( tmp_work, tmp_rwork ) );
 }
Пример #12
0
 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, RWORK > work ) {
     BOOST_STATIC_ASSERT( (boost::is_same< typename traits::vector_traits<
             VectorS >::value_type, typename traits::vector_traits<
             VectorFERR >::value_type >::value) );
     BOOST_STATIC_ASSERT( (boost::is_same< typename traits::vector_traits<
             VectorS >::value_type, typename traits::vector_traits<
             VectorBERR >::value_type >::value) );
     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::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_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(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) ));
     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(value_type())),
             traits::vector_storage(work.select(real_type())), info );
 }
Пример #13
0
 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 ) );
 }
Пример #14
0
 static std::ptrdiff_t invoke( const char norm, const MatrixA& a,
         const real_type anorm, real_type& rcond, detail::workspace2< WORK,
         RWORK > work ) {
     namespace bindings = ::boost::numeric::bindings;
     BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixA >::value) );
     BOOST_ASSERT( bindings::size(work.select(real_type())) >=
             min_size_rwork( bindings::size_column(a) ));
     BOOST_ASSERT( bindings::size(work.select(value_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(value_type())),
             bindings::begin_value(work.select(real_type())) );
 }
Пример #15
0
 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,
         RWORK > work ) {
     BOOST_STATIC_ASSERT( (boost::is_same< typename traits::vector_traits<
             VectorFERR >::value_type, typename traits::vector_traits<
             VectorBERR >::value_type >::value) );
     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_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(value_type())) >=
             min_size_work( n ));
     BOOST_ASSERT( traits::vector_size(work.select(real_type())) >=
             min_size_rwork( 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(value_type())),
             traits::vector_storage(work.select(real_type())), info );
 }
Пример #16
0
 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 ) );
 }
Пример #17
0
 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,
         detail::workspace2< WORK, RWORK > work ) {
     namespace bindings = ::boost::numeric::bindings;
     typedef typename result_of::uplo_tag< MatrixAB >::type uplo;
     BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixAB >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixAFB >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixB >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_column_major< MatrixX >::value) );
     BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
             typename bindings::value_type< VectorS >::type >::type,
             typename remove_const< typename bindings::value_type<
             VectorFERR >::type >::type >::value) );
     BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
             typename bindings::value_type< VectorS >::type >::type,
             typename remove_const< typename bindings::value_type<
             VectorBERR >::type >::type >::value) );
     BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
             typename bindings::value_type< MatrixAB >::type >::type,
             typename remove_const< typename bindings::value_type<
             MatrixAFB >::type >::type >::value) );
     BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
             typename bindings::value_type< MatrixAB >::type >::type,
             typename remove_const< typename bindings::value_type<
             MatrixB >::type >::type >::value) );
     BOOST_STATIC_ASSERT( (boost::is_same< typename remove_const<
             typename bindings::value_type< MatrixAB >::type >::type,
             typename remove_const< typename bindings::value_type<
             MatrixX >::type >::type >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixAB >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixAFB >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorS >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixX >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorFERR >::value) );
     BOOST_STATIC_ASSERT( (bindings::is_mutable< VectorBERR >::value) );
     BOOST_ASSERT( bindings::bandwidth(ab, uplo()) >= 0 );
     BOOST_ASSERT( bindings::size(berr) >= bindings::size_column(b) );
     BOOST_ASSERT( bindings::size(work.select(real_type())) >=
             min_size_rwork( bindings::size_column(ab) ));
     BOOST_ASSERT( bindings::size(work.select(value_type())) >=
             min_size_work( bindings::size_column(ab) ));
     BOOST_ASSERT( bindings::size_column(ab) >= 0 );
     BOOST_ASSERT( bindings::size_column(b) >= 0 );
     BOOST_ASSERT( bindings::size_minor(ab) == 1 ||
             bindings::stride_minor(ab) == 1 );
     BOOST_ASSERT( bindings::size_minor(afb) == 1 ||
             bindings::stride_minor(afb) == 1 );
     BOOST_ASSERT( bindings::size_minor(b) == 1 ||
             bindings::stride_minor(b) == 1 );
     BOOST_ASSERT( bindings::size_minor(x) == 1 ||
             bindings::stride_minor(x) == 1 );
     BOOST_ASSERT( bindings::stride_major(ab) >= bindings::bandwidth(ab,
             uplo())+1 );
     BOOST_ASSERT( bindings::stride_major(afb) >= bindings::bandwidth(ab,
             uplo())+1 );
     BOOST_ASSERT( bindings::stride_major(b) >= std::max< std::ptrdiff_t >(1,
             bindings::size_column(ab)) );
     BOOST_ASSERT( bindings::stride_major(x) >= std::max< std::ptrdiff_t >(1,
             bindings::size_column(ab)) );
     BOOST_ASSERT( equed == 'N' || equed == 'Y' );
     BOOST_ASSERT( fact == 'F' || fact == 'Y' || fact == 'N' ||
             fact == 'E' );
     return detail::pbsvx( fact, uplo(), bindings::size_column(ab),
             bindings::bandwidth(ab, uplo()), bindings::size_column(b),
             bindings::begin_value(ab), bindings::stride_major(ab),
             bindings::begin_value(afb), bindings::stride_major(afb),
             equed, bindings::begin_value(s), bindings::begin_value(b),
             bindings::stride_major(b), bindings::begin_value(x),
             bindings::stride_major(x), rcond, bindings::begin_value(ferr),
             bindings::begin_value(berr),
             bindings::begin_value(work.select(value_type())),
             bindings::begin_value(work.select(real_type())) );
 }