typename viennacl::enable_if< viennacl::is_any_dense_nonstructured_matrix<M1>::value
&& viennacl::is_any_dense_nonstructured_vector<V1>::value
>::type
inplace_solve(const matrix_expression< const M1, const M1, op_trans> & proxy,
V1 & vec,
SOLVERTAG)
{
assert( (proxy.lhs().size1() == vec.size()) && bool("Size check failed in inplace_solve(): size1(A) != size(b)"));
assert( (proxy.lhs().size2() == vec.size()) && bool("Size check failed in inplace_solve(): size2(A) != size(b)"));
switch (viennacl::traits::handle(proxy.lhs()).get_active_handle_id())
{
case viennacl::MAIN_MEMORY:
viennacl::linalg::host_based::inplace_solve(proxy, vec, SOLVERTAG());
break;
#ifdef VIENNACL_WITH_OPENCL
case viennacl::OPENCL_MEMORY:
viennacl::linalg::opencl::inplace_solve(proxy, vec, SOLVERTAG());
break;
#endif
#ifdef VIENNACL_WITH_CUDA
case viennacl::CUDA_MEMORY:
viennacl::linalg::cuda::inplace_solve(proxy, vec, SOLVERTAG());
break;
#endif
default:
throw "not implemented";
}
}
void inplace_solve(const matrix_expression< const matrix_base<NumericT>, const matrix_base<NumericT>, op_trans> & proxy,
vector_base<NumericT> & vec,
SOLVERTAG)
{
assert( (proxy.lhs().size1() == vec.size()) && bool("Size check failed in inplace_solve(): size1(A) != size(b)"));
assert( (proxy.lhs().size2() == vec.size()) && bool("Size check failed in inplace_solve(): size2(A) != size(b)"));
switch (viennacl::traits::handle(proxy.lhs()).get_active_handle_id())
{
case viennacl::MAIN_MEMORY:
viennacl::linalg::host_based::inplace_solve(proxy.lhs(), true, vec, SOLVERTAG());
break;
#ifdef VIENNACL_WITH_OPENCL
case viennacl::OPENCL_MEMORY:
viennacl::linalg::opencl::inplace_solve(proxy.lhs(), true, vec, SOLVERTAG());
break;
#endif
#ifdef VIENNACL_WITH_CUDA
case viennacl::CUDA_MEMORY:
viennacl::linalg::cuda::inplace_solve(proxy.lhs(), true, vec, SOLVERTAG());
break;
#endif
case viennacl::MEMORY_NOT_INITIALIZED:
throw memory_exception("not initialised!");
default:
throw memory_exception("not implemented");
}
}
typename viennacl::enable_if< viennacl::is_any_sparse_matrix<SparseMatrixType>::value>::type
block_inplace_solve(const matrix_expression<const SparseMatrixType, const SparseMatrixType, op_trans> & mat,
viennacl::backend::mem_handle const & block_index_array, vcl_size_t num_blocks,
viennacl::vector_base<ScalarType> const & mat_diagonal,
viennacl::vector_base<ScalarType> & vec,
SOLVERTAG tag)
{
assert( (mat.size1() == mat.size2()) && bool("Size check failed for triangular solve on transposed compressed matrix: size1(mat) != size2(mat)"));
assert( (mat.size1() == vec.size()) && bool("Size check failed for transposed compressed matrix triangular solve: size1(mat) != size(x)"));
switch (viennacl::traits::handle(mat.lhs()).get_active_handle_id())
{
case viennacl::MAIN_MEMORY:
viennacl::linalg::host_based::detail::block_inplace_solve(mat, block_index_array, num_blocks, mat_diagonal, vec, tag);
break;
#ifdef VIENNACL_WITH_OPENCL
case viennacl::OPENCL_MEMORY:
viennacl::linalg::opencl::detail::block_inplace_solve(mat, block_index_array, num_blocks, mat_diagonal, vec, tag);
break;
#endif
#ifdef VIENNACL_WITH_CUDA
case viennacl::CUDA_MEMORY:
viennacl::linalg::cuda::detail::block_inplace_solve(mat, block_index_array, num_blocks, mat_diagonal, vec, tag);
break;
#endif
case viennacl::MEMORY_NOT_INITIALIZED:
throw memory_exception("not initialised!");
default:
throw memory_exception("not implemented");
}
}
void prod_impl(const matrix_expression< const matrix_base<NumericT>, const matrix_base<NumericT>, op_trans> & mat_trans,
const vector_base<NumericT> & vec,
vector_base<NumericT> & result)
{
assert( (viennacl::traits::size1(mat_trans.lhs()) == viennacl::traits::size(vec)) && bool("Size check failed at v1 = trans(A) * v2: size1(A) != size(v2)"));
assert( (viennacl::traits::size2(mat_trans.lhs()) == viennacl::traits::size(result)) && bool("Size check failed at v1 = trans(A) * v2: size2(A) != size(v1)"));
switch (viennacl::traits::handle(mat_trans.lhs()).get_active_handle_id())
{
case viennacl::MAIN_MEMORY:
viennacl::linalg::host_based::prod_impl(mat_trans.lhs(), true, vec, result);
break;
#ifdef VIENNACL_WITH_OPENCL
case viennacl::OPENCL_MEMORY:
viennacl::linalg::opencl::prod_impl(mat_trans.lhs(), true, vec, result);
break;
#endif
#ifdef VIENNACL_WITH_CUDA
case viennacl::CUDA_MEMORY:
viennacl::linalg::cuda::prod_impl(mat_trans.lhs(), true, vec, result);
break;
#endif
case viennacl::MEMORY_NOT_INITIALIZED:
throw memory_exception("not initialised!");
default:
throw memory_exception("not implemented");
}
}
matrix<SCALARTYPE, F2, ALIGNMENT_B> solve(const matrix<SCALARTYPE, F1, ALIGNMENT_A> & A,
const matrix_expression< const matrix<SCALARTYPE, F2, ALIGNMENT_B>,
const matrix<SCALARTYPE, F2, ALIGNMENT_B>,
op_trans> & proxy,
TAG const & tag)
{
// do an inplace solve on the result vector:
matrix<SCALARTYPE, F2, ALIGNMENT_B> result(proxy.lhs().size2(), proxy.lhs().size1());
result = proxy;
inplace_solve(A, result, tag);
return result;
}
void inplace_solve(const matrix_expression< const matrix<SCALARTYPE, F, ALIGNMENT>,
const matrix<SCALARTYPE, F, ALIGNMENT>,
op_trans> & proxy,
vector<SCALARTYPE, VEC_ALIGNMENT> & vec,
SOLVERTAG)
{
assert(proxy.lhs().size1() == vec.size());
assert(proxy.lhs().size2() == vec.size());
typedef typename viennacl::tools::MATRIX_KERNEL_CLASS_DEDUCER< matrix<SCALARTYPE, F, ALIGNMENT> >::ResultType KernelClass;
std::stringstream ss;
ss << "trans_" << SOLVERTAG::name() << "_triangular_substitute_inplace";
viennacl::ocl::kernel & k = viennacl::ocl::get_kernel(KernelClass::program_name(), ss.str());
k.global_work_size(0, k.local_work_size());
viennacl::ocl::enqueue(k(proxy.lhs(), proxy.lhs().size1(), proxy.lhs().size2(),
proxy.lhs().internal_size1(), proxy.lhs().internal_size2(), vec));
}
void inplace_solve(const matrix_expression< const matrix<SCALARTYPE, F1, A1>,
const matrix<SCALARTYPE, F1, A1>,
op_trans> & proxy,
matrix<SCALARTYPE, F2, A2> & B,
SOLVERTAG)
{
assert(proxy.lhs().size1() == proxy.lhs().size2());
assert(proxy.lhs().size2() == B.size1());
typedef typename viennacl::tools::MATRIX_SOLVE_KERNEL_CLASS_DEDUCER< matrix<SCALARTYPE, F1, A1>,
matrix<SCALARTYPE, F2, A2> >::ResultType KernelClass;
KernelClass::init();
std::stringstream ss;
ss << "trans_" << SOLVERTAG::name() << "_solve";
viennacl::ocl::kernel & k = viennacl::ocl::get_kernel(KernelClass::program_name(), ss.str());
k.global_work_size(0, B.size2() * k.local_work_size());
viennacl::ocl::enqueue(k(proxy.lhs(), proxy.lhs().size1(), proxy.lhs().size2(), proxy.lhs().internal_size1(), proxy.lhs().internal_size2(),
B, B.size1(), B.size2(), B.internal_size1(), B.internal_size2()));
}
bool op_aliasing(matrix_base<NumericT> const & lhs, matrix_expression<const LhsT, const RhsT, OpT> const & rhs)
{
return op_aliasing(lhs, rhs.lhs()) || op_aliasing(lhs, rhs.rhs());
}
bool row_major(matrix_expression<LHS, RHS, OP> const & proxy) { return viennacl::traits::row_major(proxy.lhs()); }
[[nodiscard]] inline auto jacobian_determinant(matrix_expression const& jacobian)
{
return detail::jacobian_determinant(jacobian.eval());
}