Initial commit.

This commit is contained in:
2018-12-06 16:01:56 +01:00
parent 10867b60c2
commit 18eb3f6047
1011 changed files with 345688 additions and 10 deletions

View File

@@ -0,0 +1,338 @@
//
// Copyright (c) 2002--2010
// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
// Thomas Klimpel and Rutger ter Borg
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// THIS FILE IS AUTOMATICALLY GENERATED
// PLEASE DO NOT EDIT!
//
#ifndef BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_GEMM_HPP
#define BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_GEMM_HPP
#include <boost/assert.hpp>
#include <boost/numeric/bindings/begin.hpp>
#include <boost/numeric/bindings/data_order.hpp>
#include <boost/numeric/bindings/has_linear_array.hpp>
#include <boost/numeric/bindings/is_mutable.hpp>
#include <boost/numeric/bindings/remove_imaginary.hpp>
#include <boost/numeric/bindings/size.hpp>
#include <boost/numeric/bindings/stride.hpp>
#include <boost/numeric/bindings/trans_tag.hpp>
#include <boost/numeric/bindings/value_type.hpp>
#include <boost/static_assert.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/remove_const.hpp>
//
// The BLAS-backend is selected by defining a pre-processor variable,
// which can be one of
// * for CBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
// * for CUBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
// * netlib-compatible BLAS is the default
//
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
#include <boost/numeric/bindings/blas/detail/cblas.h>
#include <boost/numeric/bindings/blas/detail/cblas_option.hpp>
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
#include <boost/numeric/bindings/blas/detail/cublas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#else
#include <boost/numeric/bindings/blas/detail/blas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#endif
namespace boost {
namespace numeric {
namespace bindings {
namespace blas {
//
// The detail namespace contains value-type-overloaded functions that
// dispatch to the appropriate back-end BLAS-routine.
//
namespace detail {
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * float value-type.
//
template< typename Order, typename TransA, typename TransB >
inline void gemm( const Order, const TransA, const TransB, const int m,
const int n, const int k, const float alpha, const float* a,
const int lda, const float* b, const int ldb, const float beta,
float* c, const int ldc ) {
cblas_sgemm( cblas_option< Order >::value, cblas_option< TransA >::value,
cblas_option< TransB >::value, m, n, k, alpha, a, lda, b, ldb,
beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * double value-type.
//
template< typename Order, typename TransA, typename TransB >
inline void gemm( const Order, const TransA, const TransB, const int m,
const int n, const int k, const double alpha, const double* a,
const int lda, const double* b, const int ldb, const double beta,
double* c, const int ldc ) {
cblas_dgemm( cblas_option< Order >::value, cblas_option< TransA >::value,
cblas_option< TransB >::value, m, n, k, alpha, a, lda, b, ldb,
beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename TransA, typename TransB >
inline void gemm( const Order, const TransA, const TransB, const int m,
const int n, const int k, const std::complex<float> alpha,
const std::complex<float>* a, const int lda,
const std::complex<float>* b, const int ldb,
const std::complex<float> beta, std::complex<float>* c,
const int ldc ) {
cblas_cgemm( cblas_option< Order >::value, cblas_option< TransA >::value,
cblas_option< TransB >::value, m, n, k, &alpha, a, lda, b, ldb,
&beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename TransA, typename TransB >
inline void gemm( const Order, const TransA, const TransB, const int m,
const int n, const int k, const std::complex<double> alpha,
const std::complex<double>* a, const int lda,
const std::complex<double>* b, const int ldb,
const std::complex<double> beta, std::complex<double>* c,
const int ldc ) {
cblas_zgemm( cblas_option< Order >::value, cblas_option< TransA >::value,
cblas_option< TransB >::value, m, n, k, &alpha, a, lda, b, ldb,
&beta, c, ldc );
}
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * float value-type.
//
template< typename Order, typename TransA, typename TransB >
inline void gemm( const Order, const TransA, const TransB, const int m,
const int n, const int k, const float alpha, const float* a,
const int lda, const float* b, const int ldb, const float beta,
float* c, const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasSgemm( blas_option< TransA >::value, blas_option< TransB >::value,
m, n, k, alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * double value-type.
//
template< typename Order, typename TransA, typename TransB >
inline void gemm( const Order, const TransA, const TransB, const int m,
const int n, const int k, const double alpha, const double* a,
const int lda, const double* b, const int ldb, const double beta,
double* c, const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasDgemm( blas_option< TransA >::value, blas_option< TransB >::value,
m, n, k, alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename TransA, typename TransB >
inline void gemm( const Order, const TransA, const TransB, const int m,
const int n, const int k, const std::complex<float> alpha,
const std::complex<float>* a, const int lda,
const std::complex<float>* b, const int ldb,
const std::complex<float> beta, std::complex<float>* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasCgemm( blas_option< TransA >::value, blas_option< TransB >::value,
m, n, k, alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename TransA, typename TransB >
inline void gemm( const Order, const TransA, const TransB, const int m,
const int n, const int k, const std::complex<double> alpha,
const std::complex<double>* a, const int lda,
const std::complex<double>* b, const int ldb,
const std::complex<double> beta, std::complex<double>* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasZgemm( blas_option< TransA >::value, blas_option< TransB >::value,
m, n, k, alpha, a, lda, b, ldb, beta, c, ldc );
}
#else
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * float value-type.
//
template< typename Order, typename TransA, typename TransB >
inline void gemm( const Order, const TransA, const TransB,
const fortran_int_t m, const fortran_int_t n, const fortran_int_t k,
const float alpha, const float* a, const fortran_int_t lda,
const float* b, const fortran_int_t ldb, const float beta, float* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_SGEMM( &blas_option< TransA >::value, &blas_option< TransB >::value,
&m, &n, &k, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * double value-type.
//
template< typename Order, typename TransA, typename TransB >
inline void gemm( const Order, const TransA, const TransB,
const fortran_int_t m, const fortran_int_t n, const fortran_int_t k,
const double alpha, const double* a, const fortran_int_t lda,
const double* b, const fortran_int_t ldb, const double beta,
double* c, const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_DGEMM( &blas_option< TransA >::value, &blas_option< TransB >::value,
&m, &n, &k, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<float> value-type.
//
template< typename Order, typename TransA, typename TransB >
inline void gemm( const Order, const TransA, const TransB,
const fortran_int_t m, const fortran_int_t n, const fortran_int_t k,
const std::complex<float> alpha, const std::complex<float>* a,
const fortran_int_t lda, const std::complex<float>* b,
const fortran_int_t ldb, const std::complex<float> beta,
std::complex<float>* c, const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_CGEMM( &blas_option< TransA >::value, &blas_option< TransB >::value,
&m, &n, &k, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<double> value-type.
//
template< typename Order, typename TransA, typename TransB >
inline void gemm( const Order, const TransA, const TransB,
const fortran_int_t m, const fortran_int_t n, const fortran_int_t k,
const std::complex<double> alpha, const std::complex<double>* a,
const fortran_int_t lda, const std::complex<double>* b,
const fortran_int_t ldb, const std::complex<double> beta,
std::complex<double>* c, const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_ZGEMM( &blas_option< TransA >::value, &blas_option< TransB >::value,
&m, &n, &k, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
#endif
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to gemm.
//
template< typename Value >
struct gemm_impl {
typedef Value value_type;
typedef typename remove_imaginary< Value >::type real_type;
typedef void result_type;
//
// Static member function that
// * Deduces the required arguments for dispatching to BLAS, and
// * Asserts that most arguments make sense.
//
template< typename MatrixA, typename MatrixB, typename MatrixC >
static result_type invoke( const value_type alpha, const MatrixA& a,
const MatrixB& b, const value_type beta, MatrixC& c ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::data_order< MatrixC >::type order;
typedef typename result_of::trans_tag< MatrixB, order >::type transb;
typedef typename result_of::trans_tag< MatrixA, order >::type transa;
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixB >::type >::type >::value) );
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixC >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixB >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixC >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixC >::value) );
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
bindings::stride_minor(a) == 1 );
BOOST_ASSERT( bindings::size_minor(b) == 1 ||
bindings::stride_minor(b) == 1 );
BOOST_ASSERT( bindings::size_minor(c) == 1 ||
bindings::stride_minor(c) == 1 );
detail::gemm( order(), transa(), transb(),
bindings::size_row(c), bindings::size_column(c),
bindings::size_column(a), alpha, bindings::begin_value(a),
bindings::stride_major(a), bindings::begin_value(b),
bindings::stride_major(b), beta, bindings::begin_value(c),
bindings::stride_major(c) );
}
};
//
// Functions for direct use. These functions are overloaded for temporaries,
// so that wrapped types can still be passed and used for write-access. Calls
// to these functions are passed to the gemm_impl classes. In the
// documentation, the const-overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for gemm. Its overload differs for
//
template< typename MatrixA, typename MatrixB, typename MatrixC >
inline typename gemm_impl< typename bindings::value_type<
MatrixA >::type >::result_type
gemm( const typename bindings::value_type< MatrixA >::type alpha,
const MatrixA& a, const MatrixB& b,
const typename bindings::value_type< MatrixA >::type beta,
MatrixC& c ) {
gemm_impl< typename bindings::value_type<
MatrixA >::type >::invoke( alpha, a, b, beta, c );
}
} // namespace blas
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif

View File

@@ -0,0 +1,336 @@
//
// Copyright (c) 2002--2010
// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
// Thomas Klimpel and Rutger ter Borg
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// THIS FILE IS AUTOMATICALLY GENERATED
// PLEASE DO NOT EDIT!
//
#ifndef BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_HEMM_HPP
#define BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_HEMM_HPP
#include <boost/assert.hpp>
#include <boost/numeric/bindings/begin.hpp>
#include <boost/numeric/bindings/data_order.hpp>
#include <boost/numeric/bindings/has_linear_array.hpp>
#include <boost/numeric/bindings/is_mutable.hpp>
#include <boost/numeric/bindings/remove_imaginary.hpp>
#include <boost/numeric/bindings/size.hpp>
#include <boost/numeric/bindings/stride.hpp>
#include <boost/numeric/bindings/uplo_tag.hpp>
#include <boost/numeric/bindings/value_type.hpp>
#include <boost/static_assert.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/remove_const.hpp>
//
// The BLAS-backend is selected by defining a pre-processor variable,
// which can be one of
// * for CBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
// * for CUBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
// * netlib-compatible BLAS is the default
//
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
#include <boost/numeric/bindings/blas/detail/cblas.h>
#include <boost/numeric/bindings/blas/detail/cblas_option.hpp>
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
#include <boost/numeric/bindings/blas/detail/cublas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#else
#include <boost/numeric/bindings/blas/detail/blas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#endif
namespace boost {
namespace numeric {
namespace bindings {
namespace blas {
//
// The detail namespace contains value-type-overloaded functions that
// dispatch to the appropriate back-end BLAS-routine.
//
namespace detail {
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * float value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void hemm( const Order, const Side, const UpLo, const int m,
const int n, const float alpha, const float* a, const int lda,
const float* b, const int ldb, const float beta, float* c,
const int ldc ) {
cblas_ssymm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, m, n, alpha, a, lda, b, ldb, beta, c,
ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * double value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void hemm( const Order, const Side, const UpLo, const int m,
const int n, const double alpha, const double* a, const int lda,
const double* b, const int ldb, const double beta, double* c,
const int ldc ) {
cblas_dsymm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, m, n, alpha, a, lda, b, ldb, beta, c,
ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void hemm( const Order, const Side, const UpLo, const int m,
const int n, const std::complex<float> alpha,
const std::complex<float>* a, const int lda,
const std::complex<float>* b, const int ldb,
const std::complex<float> beta, std::complex<float>* c,
const int ldc ) {
cblas_chemm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, m, n, &alpha, a, lda, b, ldb, &beta,
c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void hemm( const Order, const Side, const UpLo, const int m,
const int n, const std::complex<double> alpha,
const std::complex<double>* a, const int lda,
const std::complex<double>* b, const int ldb,
const std::complex<double> beta, std::complex<double>* c,
const int ldc ) {
cblas_zhemm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, m, n, &alpha, a, lda, b, ldb, &beta,
c, ldc );
}
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * float value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void hemm( const Order, const Side, const UpLo, const int m,
const int n, const float alpha, const float* a, const int lda,
const float* b, const int ldb, const float beta, float* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasSsymm( blas_option< Side >::value, blas_option< UpLo >::value, m, n,
alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * double value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void hemm( const Order, const Side, const UpLo, const int m,
const int n, const double alpha, const double* a, const int lda,
const double* b, const int ldb, const double beta, double* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasDsymm( blas_option< Side >::value, blas_option< UpLo >::value, m, n,
alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void hemm( const Order, const Side, const UpLo, const int m,
const int n, const std::complex<float> alpha,
const std::complex<float>* a, const int lda,
const std::complex<float>* b, const int ldb,
const std::complex<float> beta, std::complex<float>* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasChemm( blas_option< Side >::value, blas_option< UpLo >::value, m, n,
alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void hemm( const Order, const Side, const UpLo, const int m,
const int n, const std::complex<double> alpha,
const std::complex<double>* a, const int lda,
const std::complex<double>* b, const int ldb,
const std::complex<double> beta, std::complex<double>* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasZhemm( blas_option< Side >::value, blas_option< UpLo >::value, m, n,
alpha, a, lda, b, ldb, beta, c, ldc );
}
#else
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * float value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void hemm( const Order, const Side, const UpLo, const fortran_int_t m,
const fortran_int_t n, const float alpha, const float* a,
const fortran_int_t lda, const float* b, const fortran_int_t ldb,
const float beta, float* c, const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_SSYMM( &blas_option< Side >::value, &blas_option< UpLo >::value, &m,
&n, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * double value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void hemm( const Order, const Side, const UpLo, const fortran_int_t m,
const fortran_int_t n, const double alpha, const double* a,
const fortran_int_t lda, const double* b, const fortran_int_t ldb,
const double beta, double* c, const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_DSYMM( &blas_option< Side >::value, &blas_option< UpLo >::value, &m,
&n, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<float> value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void hemm( const Order, const Side, const UpLo, const fortran_int_t m,
const fortran_int_t n, const std::complex<float> alpha,
const std::complex<float>* a, const fortran_int_t lda,
const std::complex<float>* b, const fortran_int_t ldb,
const std::complex<float> beta, std::complex<float>* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_CHEMM( &blas_option< Side >::value, &blas_option< UpLo >::value, &m,
&n, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<double> value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void hemm( const Order, const Side, const UpLo, const fortran_int_t m,
const fortran_int_t n, const std::complex<double> alpha,
const std::complex<double>* a, const fortran_int_t lda,
const std::complex<double>* b, const fortran_int_t ldb,
const std::complex<double> beta, std::complex<double>* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_ZHEMM( &blas_option< Side >::value, &blas_option< UpLo >::value, &m,
&n, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
#endif
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to hemm.
//
template< typename Value >
struct hemm_impl {
typedef Value value_type;
typedef typename remove_imaginary< Value >::type real_type;
typedef void result_type;
//
// Static member function that
// * Deduces the required arguments for dispatching to BLAS, and
// * Asserts that most arguments make sense.
//
template< typename Side, typename MatrixA, typename MatrixB,
typename MatrixC >
static result_type invoke( const Side side, const value_type alpha,
const MatrixA& a, const MatrixB& b, const value_type beta,
MatrixC& c ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::data_order< MatrixA >::type order;
typedef typename result_of::uplo_tag< MatrixA >::type uplo;
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixB >::type >::type >::value) );
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixC >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixB >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixC >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixC >::value) );
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
bindings::stride_minor(a) == 1 );
BOOST_ASSERT( bindings::size_minor(b) == 1 ||
bindings::stride_minor(b) == 1 );
BOOST_ASSERT( bindings::size_minor(c) == 1 ||
bindings::stride_minor(c) == 1 );
detail::hemm( order(), side, uplo(), bindings::size_row(c),
bindings::size_column(c), alpha, bindings::begin_value(a),
bindings::stride_major(a), bindings::begin_value(b),
bindings::stride_major(b), beta, bindings::begin_value(c),
bindings::stride_major(c) );
}
};
//
// Functions for direct use. These functions are overloaded for temporaries,
// so that wrapped types can still be passed and used for write-access. Calls
// to these functions are passed to the hemm_impl classes. In the
// documentation, the const-overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for hemm. Its overload differs for
//
template< typename Side, typename MatrixA, typename MatrixB, typename MatrixC >
inline typename hemm_impl< typename bindings::value_type<
MatrixA >::type >::result_type
hemm( const Side side, const typename bindings::value_type<
MatrixA >::type alpha, const MatrixA& a, const MatrixB& b,
const typename bindings::value_type< MatrixA >::type beta,
MatrixC& c ) {
hemm_impl< typename bindings::value_type<
MatrixA >::type >::invoke( side, alpha, a, b, beta, c );
}
} // namespace blas
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif

View File

@@ -0,0 +1,334 @@
//
// Copyright (c) 2002--2010
// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
// Thomas Klimpel and Rutger ter Borg
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// THIS FILE IS AUTOMATICALLY GENERATED
// PLEASE DO NOT EDIT!
//
#ifndef BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_HER2K_HPP
#define BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_HER2K_HPP
#include <boost/assert.hpp>
#include <boost/numeric/bindings/begin.hpp>
#include <boost/numeric/bindings/data_order.hpp>
#include <boost/numeric/bindings/has_linear_array.hpp>
#include <boost/numeric/bindings/is_mutable.hpp>
#include <boost/numeric/bindings/remove_imaginary.hpp>
#include <boost/numeric/bindings/size.hpp>
#include <boost/numeric/bindings/stride.hpp>
#include <boost/numeric/bindings/trans_tag.hpp>
#include <boost/numeric/bindings/uplo_tag.hpp>
#include <boost/numeric/bindings/value_type.hpp>
#include <boost/static_assert.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/remove_const.hpp>
//
// The BLAS-backend is selected by defining a pre-processor variable,
// which can be one of
// * for CBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
// * for CUBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
// * netlib-compatible BLAS is the default
//
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
#include <boost/numeric/bindings/blas/detail/cblas.h>
#include <boost/numeric/bindings/blas/detail/cblas_option.hpp>
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
#include <boost/numeric/bindings/blas/detail/cublas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#else
#include <boost/numeric/bindings/blas/detail/blas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#endif
namespace boost {
namespace numeric {
namespace bindings {
namespace blas {
//
// The detail namespace contains value-type-overloaded functions that
// dispatch to the appropriate back-end BLAS-routine.
//
namespace detail {
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * float value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void her2k( const Order, const UpLo, const Trans, const int n,
const int k, const float alpha, const float* a, const int lda,
const float* b, const int ldb, const float beta, float* c,
const int ldc ) {
cblas_ssyr2k( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, alpha, a, lda, b, ldb, beta,
c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * double value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void her2k( const Order, const UpLo, const Trans, const int n,
const int k, const double alpha, const double* a, const int lda,
const double* b, const int ldb, const double beta, double* c,
const int ldc ) {
cblas_dsyr2k( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, alpha, a, lda, b, ldb, beta,
c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void her2k( const Order, const UpLo, const Trans, const int n,
const int k, const std::complex<float> alpha,
const std::complex<float>* a, const int lda,
const std::complex<float>* b, const int ldb, const float beta,
std::complex<float>* c, const int ldc ) {
cblas_cher2k( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, &alpha, a, lda, b, ldb, beta,
c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void her2k( const Order, const UpLo, const Trans, const int n,
const int k, const std::complex<double> alpha,
const std::complex<double>* a, const int lda,
const std::complex<double>* b, const int ldb, const double beta,
std::complex<double>* c, const int ldc ) {
cblas_zher2k( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, &alpha, a, lda, b, ldb, beta,
c, ldc );
}
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * float value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void her2k( const Order, const UpLo, const Trans, const int n,
const int k, const float alpha, const float* a, const int lda,
const float* b, const int ldb, const float beta, float* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasSsyr2k( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * double value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void her2k( const Order, const UpLo, const Trans, const int n,
const int k, const double alpha, const double* a, const int lda,
const double* b, const int ldb, const double beta, double* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasDsyr2k( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void her2k( const Order, const UpLo, const Trans, const int n,
const int k, const std::complex<float> alpha,
const std::complex<float>* a, const int lda,
const std::complex<float>* b, const int ldb, const float beta,
std::complex<float>* c, const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasCher2k( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void her2k( const Order, const UpLo, const Trans, const int n,
const int k, const std::complex<double> alpha,
const std::complex<double>* a, const int lda,
const std::complex<double>* b, const int ldb, const double beta,
std::complex<double>* c, const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasZher2k( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, b, ldb, beta, c, ldc );
}
#else
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * float value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void her2k( const Order, const UpLo, const Trans,
const fortran_int_t n, const fortran_int_t k, const float alpha,
const float* a, const fortran_int_t lda, const float* b,
const fortran_int_t ldb, const float beta, float* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_SSYR2K( &blas_option< UpLo >::value, &blas_option< Trans >::value,
&n, &k, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * double value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void her2k( const Order, const UpLo, const Trans,
const fortran_int_t n, const fortran_int_t k, const double alpha,
const double* a, const fortran_int_t lda, const double* b,
const fortran_int_t ldb, const double beta, double* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_DSYR2K( &blas_option< UpLo >::value, &blas_option< Trans >::value,
&n, &k, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<float> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void her2k( const Order, const UpLo, const Trans,
const fortran_int_t n, const fortran_int_t k,
const std::complex<float> alpha, const std::complex<float>* a,
const fortran_int_t lda, const std::complex<float>* b,
const fortran_int_t ldb, const float beta, std::complex<float>* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_CHER2K( &blas_option< UpLo >::value, &blas_option< Trans >::value,
&n, &k, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<double> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void her2k( const Order, const UpLo, const Trans,
const fortran_int_t n, const fortran_int_t k,
const std::complex<double> alpha, const std::complex<double>* a,
const fortran_int_t lda, const std::complex<double>* b,
const fortran_int_t ldb, const double beta, std::complex<double>* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_ZHER2K( &blas_option< UpLo >::value, &blas_option< Trans >::value,
&n, &k, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
#endif
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to her2k.
//
template< typename Value >
struct her2k_impl {
typedef Value value_type;
typedef typename remove_imaginary< Value >::type real_type;
typedef void result_type;
//
// Static member function that
// * Deduces the required arguments for dispatching to BLAS, and
// * Asserts that most arguments make sense.
//
template< typename MatrixA, typename MatrixB, typename MatrixC >
static result_type invoke( const value_type alpha, const MatrixA& a,
const MatrixB& b, const real_type beta, MatrixC& c ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::data_order< MatrixB >::type order;
typedef typename result_of::trans_tag< MatrixA, order >::type trans;
typedef typename result_of::uplo_tag< MatrixC >::type uplo;
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixB >::type >::type >::value) );
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixC >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixB >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixC >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixC >::value) );
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
bindings::stride_minor(a) == 1 );
BOOST_ASSERT( bindings::size_minor(b) == 1 ||
bindings::stride_minor(b) == 1 );
BOOST_ASSERT( bindings::size_minor(c) == 1 ||
bindings::stride_minor(c) == 1 );
detail::her2k( order(), uplo(), trans(),
bindings::size_column(c), bindings::size_column(a), alpha,
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(b), bindings::stride_major(b), beta,
bindings::begin_value(c), bindings::stride_major(c) );
}
};
//
// Functions for direct use. These functions are overloaded for temporaries,
// so that wrapped types can still be passed and used for write-access. Calls
// to these functions are passed to the her2k_impl classes. In the
// documentation, the const-overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for her2k. Its overload differs for
//
template< typename MatrixA, typename MatrixB, typename MatrixC >
inline typename her2k_impl< typename bindings::value_type<
MatrixA >::type >::result_type
her2k( const typename bindings::value_type< MatrixA >::type alpha,
const MatrixA& a, const MatrixB& b, const typename remove_imaginary<
typename bindings::value_type< MatrixA >::type >::type beta,
MatrixC& c ) {
her2k_impl< typename bindings::value_type<
MatrixA >::type >::invoke( alpha, a, b, beta, c );
}
} // namespace blas
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif

View File

@@ -0,0 +1,308 @@
//
// Copyright (c) 2002--2010
// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
// Thomas Klimpel and Rutger ter Borg
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// THIS FILE IS AUTOMATICALLY GENERATED
// PLEASE DO NOT EDIT!
//
#ifndef BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_HERK_HPP
#define BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_HERK_HPP
#include <boost/assert.hpp>
#include <boost/numeric/bindings/begin.hpp>
#include <boost/numeric/bindings/data_order.hpp>
#include <boost/numeric/bindings/has_linear_array.hpp>
#include <boost/numeric/bindings/is_mutable.hpp>
#include <boost/numeric/bindings/remove_imaginary.hpp>
#include <boost/numeric/bindings/size.hpp>
#include <boost/numeric/bindings/stride.hpp>
#include <boost/numeric/bindings/trans_tag.hpp>
#include <boost/numeric/bindings/uplo_tag.hpp>
#include <boost/numeric/bindings/value_type.hpp>
#include <boost/static_assert.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/remove_const.hpp>
//
// The BLAS-backend is selected by defining a pre-processor variable,
// which can be one of
// * for CBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
// * for CUBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
// * netlib-compatible BLAS is the default
//
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
#include <boost/numeric/bindings/blas/detail/cblas.h>
#include <boost/numeric/bindings/blas/detail/cblas_option.hpp>
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
#include <boost/numeric/bindings/blas/detail/cublas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#else
#include <boost/numeric/bindings/blas/detail/blas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#endif
namespace boost {
namespace numeric {
namespace bindings {
namespace blas {
//
// The detail namespace contains value-type-overloaded functions that
// dispatch to the appropriate back-end BLAS-routine.
//
namespace detail {
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * float value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void herk( const Order, const UpLo, const Trans, const int n,
const int k, const float alpha, const float* a, const int lda,
const float beta, float* c, const int ldc ) {
cblas_ssyrk( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, alpha, a, lda, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * double value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void herk( const Order, const UpLo, const Trans, const int n,
const int k, const double alpha, const double* a, const int lda,
const double beta, double* c, const int ldc ) {
cblas_dsyrk( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, alpha, a, lda, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void herk( const Order, const UpLo, const Trans, const int n,
const int k, const float alpha, const std::complex<float>* a,
const int lda, const float beta, std::complex<float>* c,
const int ldc ) {
cblas_cherk( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, alpha, a, lda, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void herk( const Order, const UpLo, const Trans, const int n,
const int k, const double alpha, const std::complex<double>* a,
const int lda, const double beta, std::complex<double>* c,
const int ldc ) {
cblas_zherk( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, alpha, a, lda, beta, c, ldc );
}
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * float value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void herk( const Order, const UpLo, const Trans, const int n,
const int k, const float alpha, const float* a, const int lda,
const float beta, float* c, const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasSsyrk( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * double value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void herk( const Order, const UpLo, const Trans, const int n,
const int k, const double alpha, const double* a, const int lda,
const double beta, double* c, const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasDsyrk( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void herk( const Order, const UpLo, const Trans, const int n,
const int k, const float alpha, const std::complex<float>* a,
const int lda, const float beta, std::complex<float>* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasCherk( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void herk( const Order, const UpLo, const Trans, const int n,
const int k, const double alpha, const std::complex<double>* a,
const int lda, const double beta, std::complex<double>* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasZherk( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, beta, c, ldc );
}
#else
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * float value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void herk( const Order, const UpLo, const Trans, const fortran_int_t n,
const fortran_int_t k, const float alpha, const float* a,
const fortran_int_t lda, const float beta, float* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_SSYRK( &blas_option< UpLo >::value, &blas_option< Trans >::value, &n,
&k, &alpha, a, &lda, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * double value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void herk( const Order, const UpLo, const Trans, const fortran_int_t n,
const fortran_int_t k, const double alpha, const double* a,
const fortran_int_t lda, const double beta, double* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_DSYRK( &blas_option< UpLo >::value, &blas_option< Trans >::value, &n,
&k, &alpha, a, &lda, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<float> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void herk( const Order, const UpLo, const Trans, const fortran_int_t n,
const fortran_int_t k, const float alpha,
const std::complex<float>* a, const fortran_int_t lda,
const float beta, std::complex<float>* c, const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_CHERK( &blas_option< UpLo >::value, &blas_option< Trans >::value, &n,
&k, &alpha, a, &lda, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<double> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void herk( const Order, const UpLo, const Trans, const fortran_int_t n,
const fortran_int_t k, const double alpha,
const std::complex<double>* a, const fortran_int_t lda,
const double beta, std::complex<double>* c, const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_ZHERK( &blas_option< UpLo >::value, &blas_option< Trans >::value, &n,
&k, &alpha, a, &lda, &beta, c, &ldc );
}
#endif
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to herk.
//
template< typename Value >
struct herk_impl {
typedef Value value_type;
typedef typename remove_imaginary< Value >::type real_type;
typedef void result_type;
//
// Static member function that
// * Deduces the required arguments for dispatching to BLAS, and
// * Asserts that most arguments make sense.
//
template< typename MatrixA, typename MatrixC >
static result_type invoke( const real_type alpha, const MatrixA& a,
const real_type beta, MatrixC& c ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::data_order< MatrixC >::type order;
typedef typename result_of::trans_tag< MatrixA, order >::type trans;
typedef typename result_of::uplo_tag< MatrixC >::type uplo;
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixC >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixC >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixC >::value) );
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
bindings::stride_minor(a) == 1 );
BOOST_ASSERT( bindings::size_minor(c) == 1 ||
bindings::stride_minor(c) == 1 );
detail::herk( order(), uplo(), trans(),
bindings::size_column(c), bindings::size_column(a), alpha,
bindings::begin_value(a), bindings::stride_major(a), beta,
bindings::begin_value(c), bindings::stride_major(c) );
}
};
//
// Functions for direct use. These functions are overloaded for temporaries,
// so that wrapped types can still be passed and used for write-access. Calls
// to these functions are passed to the herk_impl classes. In the
// documentation, the const-overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for herk. Its overload differs for
//
template< typename MatrixA, typename MatrixC >
inline typename herk_impl< typename bindings::value_type<
MatrixA >::type >::result_type
herk( const typename remove_imaginary< typename bindings::value_type<
MatrixA >::type >::type alpha, const MatrixA& a,
const typename remove_imaginary< typename bindings::value_type<
MatrixA >::type >::type beta, MatrixC& c ) {
herk_impl< typename bindings::value_type<
MatrixA >::type >::invoke( alpha, a, beta, c );
}
} // namespace blas
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif

View File

@@ -0,0 +1,336 @@
//
// Copyright (c) 2002--2010
// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
// Thomas Klimpel and Rutger ter Borg
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// THIS FILE IS AUTOMATICALLY GENERATED
// PLEASE DO NOT EDIT!
//
#ifndef BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_SYMM_HPP
#define BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_SYMM_HPP
#include <boost/assert.hpp>
#include <boost/numeric/bindings/begin.hpp>
#include <boost/numeric/bindings/data_order.hpp>
#include <boost/numeric/bindings/has_linear_array.hpp>
#include <boost/numeric/bindings/is_mutable.hpp>
#include <boost/numeric/bindings/remove_imaginary.hpp>
#include <boost/numeric/bindings/size.hpp>
#include <boost/numeric/bindings/stride.hpp>
#include <boost/numeric/bindings/uplo_tag.hpp>
#include <boost/numeric/bindings/value_type.hpp>
#include <boost/static_assert.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/remove_const.hpp>
//
// The BLAS-backend is selected by defining a pre-processor variable,
// which can be one of
// * for CBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
// * for CUBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
// * netlib-compatible BLAS is the default
//
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
#include <boost/numeric/bindings/blas/detail/cblas.h>
#include <boost/numeric/bindings/blas/detail/cblas_option.hpp>
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
#include <boost/numeric/bindings/blas/detail/cublas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#else
#include <boost/numeric/bindings/blas/detail/blas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#endif
namespace boost {
namespace numeric {
namespace bindings {
namespace blas {
//
// The detail namespace contains value-type-overloaded functions that
// dispatch to the appropriate back-end BLAS-routine.
//
namespace detail {
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * float value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void symm( const Order, const Side, const UpLo, const int m,
const int n, const float alpha, const float* a, const int lda,
const float* b, const int ldb, const float beta, float* c,
const int ldc ) {
cblas_ssymm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, m, n, alpha, a, lda, b, ldb, beta, c,
ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * double value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void symm( const Order, const Side, const UpLo, const int m,
const int n, const double alpha, const double* a, const int lda,
const double* b, const int ldb, const double beta, double* c,
const int ldc ) {
cblas_dsymm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, m, n, alpha, a, lda, b, ldb, beta, c,
ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void symm( const Order, const Side, const UpLo, const int m,
const int n, const std::complex<float> alpha,
const std::complex<float>* a, const int lda,
const std::complex<float>* b, const int ldb,
const std::complex<float> beta, std::complex<float>* c,
const int ldc ) {
cblas_csymm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, m, n, &alpha, a, lda, b, ldb, &beta,
c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void symm( const Order, const Side, const UpLo, const int m,
const int n, const std::complex<double> alpha,
const std::complex<double>* a, const int lda,
const std::complex<double>* b, const int ldb,
const std::complex<double> beta, std::complex<double>* c,
const int ldc ) {
cblas_zsymm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, m, n, &alpha, a, lda, b, ldb, &beta,
c, ldc );
}
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * float value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void symm( const Order, const Side, const UpLo, const int m,
const int n, const float alpha, const float* a, const int lda,
const float* b, const int ldb, const float beta, float* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasSsymm( blas_option< Side >::value, blas_option< UpLo >::value, m, n,
alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * double value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void symm( const Order, const Side, const UpLo, const int m,
const int n, const double alpha, const double* a, const int lda,
const double* b, const int ldb, const double beta, double* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasDsymm( blas_option< Side >::value, blas_option< UpLo >::value, m, n,
alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void symm( const Order, const Side, const UpLo, const int m,
const int n, const std::complex<float> alpha,
const std::complex<float>* a, const int lda,
const std::complex<float>* b, const int ldb,
const std::complex<float> beta, std::complex<float>* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasCsymm( blas_option< Side >::value, blas_option< UpLo >::value, m, n,
alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void symm( const Order, const Side, const UpLo, const int m,
const int n, const std::complex<double> alpha,
const std::complex<double>* a, const int lda,
const std::complex<double>* b, const int ldb,
const std::complex<double> beta, std::complex<double>* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasZsymm( blas_option< Side >::value, blas_option< UpLo >::value, m, n,
alpha, a, lda, b, ldb, beta, c, ldc );
}
#else
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * float value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void symm( const Order, const Side, const UpLo, const fortran_int_t m,
const fortran_int_t n, const float alpha, const float* a,
const fortran_int_t lda, const float* b, const fortran_int_t ldb,
const float beta, float* c, const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_SSYMM( &blas_option< Side >::value, &blas_option< UpLo >::value, &m,
&n, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * double value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void symm( const Order, const Side, const UpLo, const fortran_int_t m,
const fortran_int_t n, const double alpha, const double* a,
const fortran_int_t lda, const double* b, const fortran_int_t ldb,
const double beta, double* c, const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_DSYMM( &blas_option< Side >::value, &blas_option< UpLo >::value, &m,
&n, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<float> value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void symm( const Order, const Side, const UpLo, const fortran_int_t m,
const fortran_int_t n, const std::complex<float> alpha,
const std::complex<float>* a, const fortran_int_t lda,
const std::complex<float>* b, const fortran_int_t ldb,
const std::complex<float> beta, std::complex<float>* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_CSYMM( &blas_option< Side >::value, &blas_option< UpLo >::value, &m,
&n, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<double> value-type.
//
template< typename Order, typename Side, typename UpLo >
inline void symm( const Order, const Side, const UpLo, const fortran_int_t m,
const fortran_int_t n, const std::complex<double> alpha,
const std::complex<double>* a, const fortran_int_t lda,
const std::complex<double>* b, const fortran_int_t ldb,
const std::complex<double> beta, std::complex<double>* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_ZSYMM( &blas_option< Side >::value, &blas_option< UpLo >::value, &m,
&n, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
#endif
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to symm.
//
template< typename Value >
struct symm_impl {
typedef Value value_type;
typedef typename remove_imaginary< Value >::type real_type;
typedef void result_type;
//
// Static member function that
// * Deduces the required arguments for dispatching to BLAS, and
// * Asserts that most arguments make sense.
//
template< typename Side, typename MatrixA, typename MatrixB,
typename MatrixC >
static result_type invoke( const Side side, const value_type alpha,
const MatrixA& a, const MatrixB& b, const value_type beta,
MatrixC& c ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::data_order< MatrixA >::type order;
typedef typename result_of::uplo_tag< MatrixA >::type uplo;
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixB >::type >::type >::value) );
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixC >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixB >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixC >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixC >::value) );
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
bindings::stride_minor(a) == 1 );
BOOST_ASSERT( bindings::size_minor(b) == 1 ||
bindings::stride_minor(b) == 1 );
BOOST_ASSERT( bindings::size_minor(c) == 1 ||
bindings::stride_minor(c) == 1 );
detail::symm( order(), side, uplo(), bindings::size_row(c),
bindings::size_column(c), alpha, bindings::begin_value(a),
bindings::stride_major(a), bindings::begin_value(b),
bindings::stride_major(b), beta, bindings::begin_value(c),
bindings::stride_major(c) );
}
};
//
// Functions for direct use. These functions are overloaded for temporaries,
// so that wrapped types can still be passed and used for write-access. Calls
// to these functions are passed to the symm_impl classes. In the
// documentation, the const-overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for symm. Its overload differs for
//
template< typename Side, typename MatrixA, typename MatrixB, typename MatrixC >
inline typename symm_impl< typename bindings::value_type<
MatrixA >::type >::result_type
symm( const Side side, const typename bindings::value_type<
MatrixA >::type alpha, const MatrixA& a, const MatrixB& b,
const typename bindings::value_type< MatrixA >::type beta,
MatrixC& c ) {
symm_impl< typename bindings::value_type<
MatrixA >::type >::invoke( side, alpha, a, b, beta, c );
}
} // namespace blas
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif

View File

@@ -0,0 +1,338 @@
//
// Copyright (c) 2002--2010
// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
// Thomas Klimpel and Rutger ter Borg
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// THIS FILE IS AUTOMATICALLY GENERATED
// PLEASE DO NOT EDIT!
//
#ifndef BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_SYR2K_HPP
#define BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_SYR2K_HPP
#include <boost/assert.hpp>
#include <boost/numeric/bindings/begin.hpp>
#include <boost/numeric/bindings/data_order.hpp>
#include <boost/numeric/bindings/has_linear_array.hpp>
#include <boost/numeric/bindings/is_mutable.hpp>
#include <boost/numeric/bindings/remove_imaginary.hpp>
#include <boost/numeric/bindings/size.hpp>
#include <boost/numeric/bindings/stride.hpp>
#include <boost/numeric/bindings/trans_tag.hpp>
#include <boost/numeric/bindings/uplo_tag.hpp>
#include <boost/numeric/bindings/value_type.hpp>
#include <boost/static_assert.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/remove_const.hpp>
//
// The BLAS-backend is selected by defining a pre-processor variable,
// which can be one of
// * for CBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
// * for CUBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
// * netlib-compatible BLAS is the default
//
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
#include <boost/numeric/bindings/blas/detail/cblas.h>
#include <boost/numeric/bindings/blas/detail/cblas_option.hpp>
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
#include <boost/numeric/bindings/blas/detail/cublas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#else
#include <boost/numeric/bindings/blas/detail/blas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#endif
namespace boost {
namespace numeric {
namespace bindings {
namespace blas {
//
// The detail namespace contains value-type-overloaded functions that
// dispatch to the appropriate back-end BLAS-routine.
//
namespace detail {
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * float value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syr2k( const Order, const UpLo, const Trans, const int n,
const int k, const float alpha, const float* a, const int lda,
const float* b, const int ldb, const float beta, float* c,
const int ldc ) {
cblas_ssyr2k( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, alpha, a, lda, b, ldb, beta,
c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * double value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syr2k( const Order, const UpLo, const Trans, const int n,
const int k, const double alpha, const double* a, const int lda,
const double* b, const int ldb, const double beta, double* c,
const int ldc ) {
cblas_dsyr2k( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, alpha, a, lda, b, ldb, beta,
c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syr2k( const Order, const UpLo, const Trans, const int n,
const int k, const std::complex<float> alpha,
const std::complex<float>* a, const int lda,
const std::complex<float>* b, const int ldb,
const std::complex<float> beta, std::complex<float>* c,
const int ldc ) {
cblas_csyr2k( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, &alpha, a, lda, b, ldb, &beta,
c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syr2k( const Order, const UpLo, const Trans, const int n,
const int k, const std::complex<double> alpha,
const std::complex<double>* a, const int lda,
const std::complex<double>* b, const int ldb,
const std::complex<double> beta, std::complex<double>* c,
const int ldc ) {
cblas_zsyr2k( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, &alpha, a, lda, b, ldb, &beta,
c, ldc );
}
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * float value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syr2k( const Order, const UpLo, const Trans, const int n,
const int k, const float alpha, const float* a, const int lda,
const float* b, const int ldb, const float beta, float* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasSsyr2k( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * double value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syr2k( const Order, const UpLo, const Trans, const int n,
const int k, const double alpha, const double* a, const int lda,
const double* b, const int ldb, const double beta, double* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasDsyr2k( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syr2k( const Order, const UpLo, const Trans, const int n,
const int k, const std::complex<float> alpha,
const std::complex<float>* a, const int lda,
const std::complex<float>* b, const int ldb,
const std::complex<float> beta, std::complex<float>* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasCsyr2k( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, b, ldb, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syr2k( const Order, const UpLo, const Trans, const int n,
const int k, const std::complex<double> alpha,
const std::complex<double>* a, const int lda,
const std::complex<double>* b, const int ldb,
const std::complex<double> beta, std::complex<double>* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasZsyr2k( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, b, ldb, beta, c, ldc );
}
#else
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * float value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syr2k( const Order, const UpLo, const Trans,
const fortran_int_t n, const fortran_int_t k, const float alpha,
const float* a, const fortran_int_t lda, const float* b,
const fortran_int_t ldb, const float beta, float* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_SSYR2K( &blas_option< UpLo >::value, &blas_option< Trans >::value,
&n, &k, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * double value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syr2k( const Order, const UpLo, const Trans,
const fortran_int_t n, const fortran_int_t k, const double alpha,
const double* a, const fortran_int_t lda, const double* b,
const fortran_int_t ldb, const double beta, double* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_DSYR2K( &blas_option< UpLo >::value, &blas_option< Trans >::value,
&n, &k, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<float> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syr2k( const Order, const UpLo, const Trans,
const fortran_int_t n, const fortran_int_t k,
const std::complex<float> alpha, const std::complex<float>* a,
const fortran_int_t lda, const std::complex<float>* b,
const fortran_int_t ldb, const std::complex<float> beta,
std::complex<float>* c, const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_CSYR2K( &blas_option< UpLo >::value, &blas_option< Trans >::value,
&n, &k, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<double> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syr2k( const Order, const UpLo, const Trans,
const fortran_int_t n, const fortran_int_t k,
const std::complex<double> alpha, const std::complex<double>* a,
const fortran_int_t lda, const std::complex<double>* b,
const fortran_int_t ldb, const std::complex<double> beta,
std::complex<double>* c, const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_ZSYR2K( &blas_option< UpLo >::value, &blas_option< Trans >::value,
&n, &k, &alpha, a, &lda, b, &ldb, &beta, c, &ldc );
}
#endif
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to syr2k.
//
template< typename Value >
struct syr2k_impl {
typedef Value value_type;
typedef typename remove_imaginary< Value >::type real_type;
typedef void result_type;
//
// Static member function that
// * Deduces the required arguments for dispatching to BLAS, and
// * Asserts that most arguments make sense.
//
template< typename MatrixA, typename MatrixB, typename MatrixC >
static result_type invoke( const value_type alpha, const MatrixA& a,
const MatrixB& b, const value_type beta, MatrixC& c ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::data_order< MatrixB >::type order;
typedef typename result_of::trans_tag< MatrixA, order >::type trans;
typedef typename result_of::uplo_tag< MatrixC >::type uplo;
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixB >::type >::type >::value) );
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixC >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixB >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixC >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixC >::value) );
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
bindings::stride_minor(a) == 1 );
BOOST_ASSERT( bindings::size_minor(b) == 1 ||
bindings::stride_minor(b) == 1 );
BOOST_ASSERT( bindings::size_minor(c) == 1 ||
bindings::stride_minor(c) == 1 );
detail::syr2k( order(), uplo(), trans(),
bindings::size_column(c), bindings::size_column(a), alpha,
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(b), bindings::stride_major(b), beta,
bindings::begin_value(c), bindings::stride_major(c) );
}
};
//
// Functions for direct use. These functions are overloaded for temporaries,
// so that wrapped types can still be passed and used for write-access. Calls
// to these functions are passed to the syr2k_impl classes. In the
// documentation, the const-overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for syr2k. Its overload differs for
//
template< typename MatrixA, typename MatrixB, typename MatrixC >
inline typename syr2k_impl< typename bindings::value_type<
MatrixA >::type >::result_type
syr2k( const typename bindings::value_type< MatrixA >::type alpha,
const MatrixA& a, const MatrixB& b,
const typename bindings::value_type< MatrixA >::type beta,
MatrixC& c ) {
syr2k_impl< typename bindings::value_type<
MatrixA >::type >::invoke( alpha, a, b, beta, c );
}
} // namespace blas
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif

View File

@@ -0,0 +1,315 @@
//
// Copyright (c) 2002--2010
// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
// Thomas Klimpel and Rutger ter Borg
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// THIS FILE IS AUTOMATICALLY GENERATED
// PLEASE DO NOT EDIT!
//
#ifndef BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_SYRK_HPP
#define BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_SYRK_HPP
#include <boost/assert.hpp>
#include <boost/numeric/bindings/begin.hpp>
#include <boost/numeric/bindings/data_order.hpp>
#include <boost/numeric/bindings/has_linear_array.hpp>
#include <boost/numeric/bindings/is_mutable.hpp>
#include <boost/numeric/bindings/remove_imaginary.hpp>
#include <boost/numeric/bindings/size.hpp>
#include <boost/numeric/bindings/stride.hpp>
#include <boost/numeric/bindings/trans_tag.hpp>
#include <boost/numeric/bindings/uplo_tag.hpp>
#include <boost/numeric/bindings/value_type.hpp>
#include <boost/static_assert.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/remove_const.hpp>
//
// The BLAS-backend is selected by defining a pre-processor variable,
// which can be one of
// * for CBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
// * for CUBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
// * netlib-compatible BLAS is the default
//
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
#include <boost/numeric/bindings/blas/detail/cblas.h>
#include <boost/numeric/bindings/blas/detail/cblas_option.hpp>
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
#include <boost/numeric/bindings/blas/detail/cublas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#else
#include <boost/numeric/bindings/blas/detail/blas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#endif
namespace boost {
namespace numeric {
namespace bindings {
namespace blas {
//
// The detail namespace contains value-type-overloaded functions that
// dispatch to the appropriate back-end BLAS-routine.
//
namespace detail {
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * float value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syrk( const Order, const UpLo, const Trans, const int n,
const int k, const float alpha, const float* a, const int lda,
const float beta, float* c, const int ldc ) {
cblas_ssyrk( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, alpha, a, lda, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * double value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syrk( const Order, const UpLo, const Trans, const int n,
const int k, const double alpha, const double* a, const int lda,
const double beta, double* c, const int ldc ) {
cblas_dsyrk( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, alpha, a, lda, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syrk( const Order, const UpLo, const Trans, const int n,
const int k, const std::complex<float> alpha,
const std::complex<float>* a, const int lda,
const std::complex<float> beta, std::complex<float>* c,
const int ldc ) {
cblas_csyrk( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, &alpha, a, lda, &beta, c,
ldc );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syrk( const Order, const UpLo, const Trans, const int n,
const int k, const std::complex<double> alpha,
const std::complex<double>* a, const int lda,
const std::complex<double> beta, std::complex<double>* c,
const int ldc ) {
cblas_zsyrk( cblas_option< Order >::value, cblas_option< UpLo >::value,
cblas_option< Trans >::value, n, k, &alpha, a, lda, &beta, c,
ldc );
}
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * float value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syrk( const Order, const UpLo, const Trans, const int n,
const int k, const float alpha, const float* a, const int lda,
const float beta, float* c, const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasSsyrk( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * double value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syrk( const Order, const UpLo, const Trans, const int n,
const int k, const double alpha, const double* a, const int lda,
const double beta, double* c, const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasDsyrk( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syrk( const Order, const UpLo, const Trans, const int n,
const int k, const std::complex<float> alpha,
const std::complex<float>* a, const int lda,
const std::complex<float> beta, std::complex<float>* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasCsyrk( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, beta, c, ldc );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syrk( const Order, const UpLo, const Trans, const int n,
const int k, const std::complex<double> alpha,
const std::complex<double>* a, const int lda,
const std::complex<double> beta, std::complex<double>* c,
const int ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasZsyrk( blas_option< UpLo >::value, blas_option< Trans >::value, n,
k, alpha, a, lda, beta, c, ldc );
}
#else
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * float value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syrk( const Order, const UpLo, const Trans, const fortran_int_t n,
const fortran_int_t k, const float alpha, const float* a,
const fortran_int_t lda, const float beta, float* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_SSYRK( &blas_option< UpLo >::value, &blas_option< Trans >::value, &n,
&k, &alpha, a, &lda, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * double value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syrk( const Order, const UpLo, const Trans, const fortran_int_t n,
const fortran_int_t k, const double alpha, const double* a,
const fortran_int_t lda, const double beta, double* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_DSYRK( &blas_option< UpLo >::value, &blas_option< Trans >::value, &n,
&k, &alpha, a, &lda, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<float> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syrk( const Order, const UpLo, const Trans, const fortran_int_t n,
const fortran_int_t k, const std::complex<float> alpha,
const std::complex<float>* a, const fortran_int_t lda,
const std::complex<float> beta, std::complex<float>* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_CSYRK( &blas_option< UpLo >::value, &blas_option< Trans >::value, &n,
&k, &alpha, a, &lda, &beta, c, &ldc );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<double> value-type.
//
template< typename Order, typename UpLo, typename Trans >
inline void syrk( const Order, const UpLo, const Trans, const fortran_int_t n,
const fortran_int_t k, const std::complex<double> alpha,
const std::complex<double>* a, const fortran_int_t lda,
const std::complex<double> beta, std::complex<double>* c,
const fortran_int_t ldc ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_ZSYRK( &blas_option< UpLo >::value, &blas_option< Trans >::value, &n,
&k, &alpha, a, &lda, &beta, c, &ldc );
}
#endif
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to syrk.
//
template< typename Value >
struct syrk_impl {
typedef Value value_type;
typedef typename remove_imaginary< Value >::type real_type;
typedef void result_type;
//
// Static member function that
// * Deduces the required arguments for dispatching to BLAS, and
// * Asserts that most arguments make sense.
//
template< typename MatrixA, typename MatrixC >
static result_type invoke( const value_type alpha, const MatrixA& a,
const value_type beta, MatrixC& c ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::data_order< MatrixC >::type order;
typedef typename result_of::trans_tag< MatrixA, order >::type trans;
typedef typename result_of::uplo_tag< MatrixC >::type uplo;
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixC >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixC >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixC >::value) );
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
bindings::stride_minor(a) == 1 );
BOOST_ASSERT( bindings::size_minor(c) == 1 ||
bindings::stride_minor(c) == 1 );
detail::syrk( order(), uplo(), trans(),
bindings::size_column(c), bindings::size_column(a), alpha,
bindings::begin_value(a), bindings::stride_major(a), beta,
bindings::begin_value(c), bindings::stride_major(c) );
}
};
//
// Functions for direct use. These functions are overloaded for temporaries,
// so that wrapped types can still be passed and used for write-access. Calls
// to these functions are passed to the syrk_impl classes. In the
// documentation, the const-overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for syrk. Its overload differs for
//
template< typename MatrixA, typename MatrixC >
inline typename syrk_impl< typename bindings::value_type<
MatrixA >::type >::result_type
syrk( const typename bindings::value_type< MatrixA >::type alpha,
const MatrixA& a, const typename bindings::value_type<
MatrixA >::type beta, MatrixC& c ) {
syrk_impl< typename bindings::value_type<
MatrixA >::type >::invoke( alpha, a, beta, c );
}
} // namespace blas
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif

View File

@@ -0,0 +1,334 @@
//
// Copyright (c) 2002--2010
// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
// Thomas Klimpel and Rutger ter Borg
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// THIS FILE IS AUTOMATICALLY GENERATED
// PLEASE DO NOT EDIT!
//
#ifndef BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_TRMM_HPP
#define BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_TRMM_HPP
#include <boost/assert.hpp>
#include <boost/numeric/bindings/begin.hpp>
#include <boost/numeric/bindings/data_order.hpp>
#include <boost/numeric/bindings/diag_tag.hpp>
#include <boost/numeric/bindings/has_linear_array.hpp>
#include <boost/numeric/bindings/is_mutable.hpp>
#include <boost/numeric/bindings/remove_imaginary.hpp>
#include <boost/numeric/bindings/size.hpp>
#include <boost/numeric/bindings/stride.hpp>
#include <boost/numeric/bindings/trans_tag.hpp>
#include <boost/numeric/bindings/uplo_tag.hpp>
#include <boost/numeric/bindings/value_type.hpp>
#include <boost/static_assert.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/remove_const.hpp>
//
// The BLAS-backend is selected by defining a pre-processor variable,
// which can be one of
// * for CBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
// * for CUBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
// * netlib-compatible BLAS is the default
//
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
#include <boost/numeric/bindings/blas/detail/cblas.h>
#include <boost/numeric/bindings/blas/detail/cblas_option.hpp>
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
#include <boost/numeric/bindings/blas/detail/cublas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#else
#include <boost/numeric/bindings/blas/detail/blas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#endif
namespace boost {
namespace numeric {
namespace bindings {
namespace blas {
//
// The detail namespace contains value-type-overloaded functions that
// dispatch to the appropriate back-end BLAS-routine.
//
namespace detail {
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * float value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trmm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n, const float alpha,
const float* a, const int lda, float* b, const int ldb ) {
cblas_strmm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, cblas_option< TransA >::value,
cblas_option< Diag >::value, m, n, alpha, a, lda, b, ldb );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * double value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trmm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n, const double alpha,
const double* a, const int lda, double* b, const int ldb ) {
cblas_dtrmm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, cblas_option< TransA >::value,
cblas_option< Diag >::value, m, n, alpha, a, lda, b, ldb );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trmm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n, const std::complex<float> alpha,
const std::complex<float>* a, const int lda, std::complex<float>* b,
const int ldb ) {
cblas_ctrmm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, cblas_option< TransA >::value,
cblas_option< Diag >::value, m, n, &alpha, a, lda, b, ldb );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trmm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n,
const std::complex<double> alpha, const std::complex<double>* a,
const int lda, std::complex<double>* b, const int ldb ) {
cblas_ztrmm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, cblas_option< TransA >::value,
cblas_option< Diag >::value, m, n, &alpha, a, lda, b, ldb );
}
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * float value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trmm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n, const float alpha,
const float* a, const int lda, float* b, const int ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasStrmm( blas_option< Side >::value, blas_option< UpLo >::value,
blas_option< TransA >::value, blas_option< Diag >::value, m, n,
alpha, a, lda, b, ldb );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * double value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trmm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n, const double alpha,
const double* a, const int lda, double* b, const int ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasDtrmm( blas_option< Side >::value, blas_option< UpLo >::value,
blas_option< TransA >::value, blas_option< Diag >::value, m, n,
alpha, a, lda, b, ldb );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trmm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n, const std::complex<float> alpha,
const std::complex<float>* a, const int lda, std::complex<float>* b,
const int ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasCtrmm( blas_option< Side >::value, blas_option< UpLo >::value,
blas_option< TransA >::value, blas_option< Diag >::value, m, n,
alpha, a, lda, b, ldb );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trmm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n,
const std::complex<double> alpha, const std::complex<double>* a,
const int lda, std::complex<double>* b, const int ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasZtrmm( blas_option< Side >::value, blas_option< UpLo >::value,
blas_option< TransA >::value, blas_option< Diag >::value, m, n,
alpha, a, lda, b, ldb );
}
#else
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * float value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trmm( const Order, const Side, const UpLo, const TransA,
const Diag, const fortran_int_t m, const fortran_int_t n,
const float alpha, const float* a, const fortran_int_t lda, float* b,
const fortran_int_t ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_STRMM( &blas_option< Side >::value, &blas_option< UpLo >::value,
&blas_option< TransA >::value, &blas_option< Diag >::value, &m,
&n, &alpha, a, &lda, b, &ldb );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * double value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trmm( const Order, const Side, const UpLo, const TransA,
const Diag, const fortran_int_t m, const fortran_int_t n,
const double alpha, const double* a, const fortran_int_t lda,
double* b, const fortran_int_t ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_DTRMM( &blas_option< Side >::value, &blas_option< UpLo >::value,
&blas_option< TransA >::value, &blas_option< Diag >::value, &m,
&n, &alpha, a, &lda, b, &ldb );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<float> value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trmm( const Order, const Side, const UpLo, const TransA,
const Diag, const fortran_int_t m, const fortran_int_t n,
const std::complex<float> alpha, const std::complex<float>* a,
const fortran_int_t lda, std::complex<float>* b,
const fortran_int_t ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_CTRMM( &blas_option< Side >::value, &blas_option< UpLo >::value,
&blas_option< TransA >::value, &blas_option< Diag >::value, &m,
&n, &alpha, a, &lda, b, &ldb );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<double> value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trmm( const Order, const Side, const UpLo, const TransA,
const Diag, const fortran_int_t m, const fortran_int_t n,
const std::complex<double> alpha, const std::complex<double>* a,
const fortran_int_t lda, std::complex<double>* b,
const fortran_int_t ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_ZTRMM( &blas_option< Side >::value, &blas_option< UpLo >::value,
&blas_option< TransA >::value, &blas_option< Diag >::value, &m,
&n, &alpha, a, &lda, b, &ldb );
}
#endif
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to trmm.
//
template< typename Value >
struct trmm_impl {
typedef Value value_type;
typedef typename remove_imaginary< Value >::type real_type;
typedef void result_type;
//
// Static member function that
// * Deduces the required arguments for dispatching to BLAS, and
// * Asserts that most arguments make sense.
//
template< typename Side, typename MatrixA, typename MatrixB >
static result_type invoke( const Side side, const value_type alpha,
const MatrixA& a, MatrixB& b ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::data_order< MatrixB >::type order;
typedef typename result_of::trans_tag< MatrixA, order >::type transa;
typedef typename result_of::uplo_tag< MatrixA, transa >::type uplo;
typedef typename result_of::diag_tag< MatrixA >::type diag;
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixB >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixB >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) );
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
bindings::stride_minor(a) == 1 );
BOOST_ASSERT( bindings::size_minor(b) == 1 ||
bindings::stride_minor(b) == 1 );
detail::trmm( order(), side, uplo(), transa(), diag(),
bindings::size_row(b), bindings::size_column(b), alpha,
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(b), bindings::stride_major(b) );
}
};
//
// Functions for direct use. These functions are overloaded for temporaries,
// so that wrapped types can still be passed and used for write-access. Calls
// to these functions are passed to the trmm_impl classes. In the
// documentation, the const-overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for trmm. Its overload differs for
//
template< typename Side, typename MatrixA, typename MatrixB >
inline typename trmm_impl< typename bindings::value_type<
MatrixA >::type >::result_type
trmm( const Side side, const typename bindings::value_type<
MatrixA >::type alpha, const MatrixA& a, MatrixB& b ) {
trmm_impl< typename bindings::value_type<
MatrixA >::type >::invoke( side, alpha, a, b );
}
} // namespace blas
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif

View File

@@ -0,0 +1,334 @@
//
// Copyright (c) 2002--2010
// Toon Knapen, Karl Meerbergen, Kresimir Fresl,
// Thomas Klimpel and Rutger ter Borg
//
// Distributed under the Boost Software License, Version 1.0.
// (See accompanying file LICENSE_1_0.txt or copy at
// http://www.boost.org/LICENSE_1_0.txt)
//
// THIS FILE IS AUTOMATICALLY GENERATED
// PLEASE DO NOT EDIT!
//
#ifndef BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_TRSM_HPP
#define BOOST_NUMERIC_BINDINGS_BLAS_LEVEL3_TRSM_HPP
#include <boost/assert.hpp>
#include <boost/numeric/bindings/begin.hpp>
#include <boost/numeric/bindings/data_order.hpp>
#include <boost/numeric/bindings/diag_tag.hpp>
#include <boost/numeric/bindings/has_linear_array.hpp>
#include <boost/numeric/bindings/is_mutable.hpp>
#include <boost/numeric/bindings/remove_imaginary.hpp>
#include <boost/numeric/bindings/size.hpp>
#include <boost/numeric/bindings/stride.hpp>
#include <boost/numeric/bindings/trans_tag.hpp>
#include <boost/numeric/bindings/uplo_tag.hpp>
#include <boost/numeric/bindings/value_type.hpp>
#include <boost/static_assert.hpp>
#include <boost/type_traits/is_same.hpp>
#include <boost/type_traits/remove_const.hpp>
//
// The BLAS-backend is selected by defining a pre-processor variable,
// which can be one of
// * for CBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
// * for CUBLAS, define BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
// * netlib-compatible BLAS is the default
//
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
#include <boost/numeric/bindings/blas/detail/cblas.h>
#include <boost/numeric/bindings/blas/detail/cblas_option.hpp>
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
#include <boost/numeric/bindings/blas/detail/cublas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#else
#include <boost/numeric/bindings/blas/detail/blas.h>
#include <boost/numeric/bindings/blas/detail/blas_option.hpp>
#endif
namespace boost {
namespace numeric {
namespace bindings {
namespace blas {
//
// The detail namespace contains value-type-overloaded functions that
// dispatch to the appropriate back-end BLAS-routine.
//
namespace detail {
#if defined BOOST_NUMERIC_BINDINGS_BLAS_CBLAS
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * float value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trsm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n, const float alpha,
const float* a, const int lda, float* b, const int ldb ) {
cblas_strsm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, cblas_option< TransA >::value,
cblas_option< Diag >::value, m, n, alpha, a, lda, b, ldb );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * double value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trsm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n, const double alpha,
const double* a, const int lda, double* b, const int ldb ) {
cblas_dtrsm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, cblas_option< TransA >::value,
cblas_option< Diag >::value, m, n, alpha, a, lda, b, ldb );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trsm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n, const std::complex<float> alpha,
const std::complex<float>* a, const int lda, std::complex<float>* b,
const int ldb ) {
cblas_ctrsm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, cblas_option< TransA >::value,
cblas_option< Diag >::value, m, n, &alpha, a, lda, b, ldb );
}
//
// Overloaded function for dispatching to
// * CBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trsm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n,
const std::complex<double> alpha, const std::complex<double>* a,
const int lda, std::complex<double>* b, const int ldb ) {
cblas_ztrsm( cblas_option< Order >::value, cblas_option< Side >::value,
cblas_option< UpLo >::value, cblas_option< TransA >::value,
cblas_option< Diag >::value, m, n, &alpha, a, lda, b, ldb );
}
#elif defined BOOST_NUMERIC_BINDINGS_BLAS_CUBLAS
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * float value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trsm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n, const float alpha,
const float* a, const int lda, float* b, const int ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasStrsm( blas_option< Side >::value, blas_option< UpLo >::value,
blas_option< TransA >::value, blas_option< Diag >::value, m, n,
alpha, a, lda, b, ldb );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * double value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trsm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n, const double alpha,
const double* a, const int lda, double* b, const int ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasDtrsm( blas_option< Side >::value, blas_option< UpLo >::value,
blas_option< TransA >::value, blas_option< Diag >::value, m, n,
alpha, a, lda, b, ldb );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<float> value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trsm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n, const std::complex<float> alpha,
const std::complex<float>* a, const int lda, std::complex<float>* b,
const int ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasCtrsm( blas_option< Side >::value, blas_option< UpLo >::value,
blas_option< TransA >::value, blas_option< Diag >::value, m, n,
alpha, a, lda, b, ldb );
}
//
// Overloaded function for dispatching to
// * CUBLAS backend, and
// * complex<double> value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trsm( const Order, const Side, const UpLo, const TransA,
const Diag, const int m, const int n,
const std::complex<double> alpha, const std::complex<double>* a,
const int lda, std::complex<double>* b, const int ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
cublasZtrsm( blas_option< Side >::value, blas_option< UpLo >::value,
blas_option< TransA >::value, blas_option< Diag >::value, m, n,
alpha, a, lda, b, ldb );
}
#else
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * float value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trsm( const Order, const Side, const UpLo, const TransA,
const Diag, const fortran_int_t m, const fortran_int_t n,
const float alpha, const float* a, const fortran_int_t lda, float* b,
const fortran_int_t ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_STRSM( &blas_option< Side >::value, &blas_option< UpLo >::value,
&blas_option< TransA >::value, &blas_option< Diag >::value, &m,
&n, &alpha, a, &lda, b, &ldb );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * double value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trsm( const Order, const Side, const UpLo, const TransA,
const Diag, const fortran_int_t m, const fortran_int_t n,
const double alpha, const double* a, const fortran_int_t lda,
double* b, const fortran_int_t ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_DTRSM( &blas_option< Side >::value, &blas_option< UpLo >::value,
&blas_option< TransA >::value, &blas_option< Diag >::value, &m,
&n, &alpha, a, &lda, b, &ldb );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<float> value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trsm( const Order, const Side, const UpLo, const TransA,
const Diag, const fortran_int_t m, const fortran_int_t n,
const std::complex<float> alpha, const std::complex<float>* a,
const fortran_int_t lda, std::complex<float>* b,
const fortran_int_t ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_CTRSM( &blas_option< Side >::value, &blas_option< UpLo >::value,
&blas_option< TransA >::value, &blas_option< Diag >::value, &m,
&n, &alpha, a, &lda, b, &ldb );
}
//
// Overloaded function for dispatching to
// * netlib-compatible BLAS backend (the default), and
// * complex<double> value-type.
//
template< typename Order, typename Side, typename UpLo, typename TransA,
typename Diag >
inline void trsm( const Order, const Side, const UpLo, const TransA,
const Diag, const fortran_int_t m, const fortran_int_t n,
const std::complex<double> alpha, const std::complex<double>* a,
const fortran_int_t lda, std::complex<double>* b,
const fortran_int_t ldb ) {
BOOST_STATIC_ASSERT( (is_same<Order, tag::column_major>::value) );
BLAS_ZTRSM( &blas_option< Side >::value, &blas_option< UpLo >::value,
&blas_option< TransA >::value, &blas_option< Diag >::value, &m,
&n, &alpha, a, &lda, b, &ldb );
}
#endif
} // namespace detail
//
// Value-type based template class. Use this class if you need a type
// for dispatching to trsm.
//
template< typename Value >
struct trsm_impl {
typedef Value value_type;
typedef typename remove_imaginary< Value >::type real_type;
typedef void result_type;
//
// Static member function that
// * Deduces the required arguments for dispatching to BLAS, and
// * Asserts that most arguments make sense.
//
template< typename Side, typename MatrixA, typename MatrixB >
static result_type invoke( const Side side, const value_type alpha,
const MatrixA& a, MatrixB& b ) {
namespace bindings = ::boost::numeric::bindings;
typedef typename result_of::data_order< MatrixB >::type order;
typedef typename result_of::trans_tag< MatrixA, order >::type transa;
typedef typename result_of::uplo_tag< MatrixA, transa >::type uplo;
typedef typename result_of::diag_tag< MatrixA >::type diag;
BOOST_STATIC_ASSERT( (is_same< typename remove_const<
typename bindings::value_type< MatrixA >::type >::type,
typename remove_const< typename bindings::value_type<
MatrixB >::type >::type >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixA >::value) );
BOOST_STATIC_ASSERT( (bindings::has_linear_array< MatrixB >::value) );
BOOST_STATIC_ASSERT( (bindings::is_mutable< MatrixB >::value) );
BOOST_ASSERT( bindings::size_minor(a) == 1 ||
bindings::stride_minor(a) == 1 );
BOOST_ASSERT( bindings::size_minor(b) == 1 ||
bindings::stride_minor(b) == 1 );
detail::trsm( order(), side, uplo(), transa(), diag(),
bindings::size_row(b), bindings::size_column(b), alpha,
bindings::begin_value(a), bindings::stride_major(a),
bindings::begin_value(b), bindings::stride_major(b) );
}
};
//
// Functions for direct use. These functions are overloaded for temporaries,
// so that wrapped types can still be passed and used for write-access. Calls
// to these functions are passed to the trsm_impl classes. In the
// documentation, the const-overloads are collapsed to avoid a large number of
// prototypes which are very similar.
//
//
// Overloaded function for trsm. Its overload differs for
//
template< typename Side, typename MatrixA, typename MatrixB >
inline typename trsm_impl< typename bindings::value_type<
MatrixA >::type >::result_type
trsm( const Side side, const typename bindings::value_type<
MatrixA >::type alpha, const MatrixA& a, MatrixB& b ) {
trsm_impl< typename bindings::value_type<
MatrixA >::type >::invoke( side, alpha, a, b );
}
} // namespace blas
} // namespace bindings
} // namespace numeric
} // namespace boost
#endif