getrs_batch_scratchpad_size#
Computes size of scratchpad memory required for the getrs_batch function.
Description
getrs_batch_scratchpad_size supports the following precisions.
T
float
double
std::complex<float>
std::complex<double>
Group API
Computes the number of elements of type T the scratchpad memory should able to hold to be passed to the Group API of the getrs_batch function.
Syntax
namespace oneapi::math::lapack {
template <typename T>
std::int64_t getrs_batch_scratchpad_size(cl::sycl::queue &queue, math::transpose *trans, std::int64_t *n, std::int64_t *nrhs, std::int64_t *lda, std::int64_t *ldb, std::int64_t group_count, std::int64_t *group_sizes)
}
Input Parameters
- queue
Device queue where calculations will be performed.
- trans
- Array of
group_countparameters \(\text{trans}_g\) indicating the form of the equations for the group \(g\):Iftrans = math::transpose::nontrans, then \(A_iX_i = B_i\) is solved for \(X_i\).Iftrans = math::transpose::trans, then \(A_i^TX_i = B_i\) is solved for \(X_i\).Iftrans = math::transpose::conjtrans, then \(A_iHX_i = B_i\) is solved for \(X_i\). - n
Array of
group_countparameters \(n_g\) specifying the order of the matrices \(A_i\) and the number of rows in matrices \(B_i\) (\(0 \le n_g\)) belonging to group \(g\).- nrhs
Array of
group_countparameters nrhsg specifying the number of right-hand sides (\(0 \le \text{nrhs}_g\)) for group \(g\).- lda
Array of
group_countparameters \(\text{lda}_g\) specifying the leading dimensions of \(A_i\) from group \(g\).- ldb
Array of
group_countparameters \(\text{ldb}_g\) specifying the leading dimensions of \(B_i\) in the group \(g\).- group_count
Number of groups of parameters. Must be at least 0.
- group_sizes
Array of
group_countintegers. Array element with index \(g\) specifies the number of problems to solve for each of the groups of parameters \(g\). So the total number of problems to solve,batch_size, is a sum of all parameter group sizes.
Return Values
Number of elements of type T the scratchpad memory should able to hold to be passed to the Group API of the getrs_batch function.
Throws
This routine shall throw the following exceptions if the associated condition is detected. An implementation may throw additional implementation-specific exception(s) in case of error conditions not covered here.
oneapi::math::unsupported_device
oneapi::math::lapack::invalid_argument
Exception is thrown in case of incorrect supplied argument value. Position of wrong argument can be determined by info() method of exception object.
Strided API
Computes the number of elements of type T the scratchpad memory should able to hold to be passed to the Strided API of the getrs_batch function.
Syntax
namespace oneapi::math::lapack {
template <typename T>
std::int64_t getrs_batch_scratchpad_size(cl::sycl::queue &queue, math::transpose trans, std::int64_t n, std::int64_t nrhs, std::int64_t lda, std::int64_t stride_a, std::int64_t stride_ipiv, std::int64_t ldb, std::int64_t stride_b, std::int64_t batch_size)
};
Input Parameters
- queue
Device queue where calculations will be performed.
- trans
- Indicates the form of the equations:
If trans = math::transpose::nontrans, then \(A_iX_i = B_i\) is solved for \(X_i\).Iftrans = math::transpose::trans, then \(A_i^TX_i = B_i\) is solved for \(X_i\).Iftrans = math::transpose::conjtrans, then \(A_i^HX_i = B_i\) is solved for \(X_i\). - n
Order of the matrices \(A_i\) and the number of rows in matrices \(B_i\) (\(0 \le n\)).
- nrhs
Number of right-hand sides (\(0 \le \text{nrhs}\)).
- lda
Leading dimension of \(A_i\).
- stride_a
Stride between the beginnings of matrices \(A_i\) inside the batch array
a.- stride_ipiv
Stride between the beginnings of arrays \(ipiv_i\) inside the array
ipiv.- ldb
Leading dimension of \(B_i\).
- stride_b
Stride between the beginnings of matrices \(B_i\) inside the batch array
b.- batch_size
Number of problems in a batch.
Return Values
Number of elements of type T the scratchpad memory should able to hold to be passed to the Strided API of the getrs_batch function.
Throws
This routine shall throw the following exceptions if the associated condition is detected. An implementation may throw additional implementation-specific exception(s) in case of error conditions not covered here.
oneapi::math::unsupported_device
oneapi::math::lapack::invalid_argument
Exception is thrown in case of incorrect supplied argument value. Position of wrong argument can be determined by info() method of exception object.
Parent topic: LAPACK-like Extensions Routines