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axpy_batch
Computes a group of axpy operations.
Description
The axpy_batch routines are batched versions of axpy, performing multiple axpy operations in a single call. Each axpy operation adds a scalar-vector product to a vector.
axpy_batch supports the following precisions:
T  |  
       
|---|
float  |  
       
double  |  
       
std::complex<float>  |  
       
std::complex<double>  |  
       
axpy_batch (Buffer Version)
Buffer version of axpy_batch supports only strided API.
Strided API
Strided API operation is defined as:
for i = 0 … batch_size – 1
    X and Y are vectors at offset i * stridex and i * stridey in x and y
    Y = alpha * X + Y
end for 
   where:
alpha is scalar
X and Y are vectors
For strided API, all vectors X and Y have same parameters (size, increments) and are stored at constant stride given by stridex and stridey from each other. The x and y arrays contain all the input vectors. Total number of vectors in x and y are given by batch_size parameter.
Syntax
namespace oneapi::mkl::blas::column_major {
    void axpy_batch(sycl::queue &queue,
                    std::int64_t n,
                    T alpha,
                    sycl::buffer<T, 1> &x,
                    std::int64_t incx,
                    std::int64_t stridex,
                    sycl::buffer<T, 1> &y,
                    std::int64_t incy,
                    std::int64_t stridey,
                    std::int64_t batch_size)
} 
   namespace oneapi::mkl::blas::row_major {
    void axpy_batch(sycl::queue &queue,
                    std::int64_t n,
                    T alpha,
                    sycl::buffer<T, 1> &x,
                    std::int64_t incx,
                    std::int64_t stridex,
                    sycl::buffer<T, 1> &y,
                    std::int64_t incy,
                    std::int64_t stridey,
                    std::int64_t batch_size)
} 
    
   Input Parameters
- queue
 -  
     
The queue where the routine should be executed.
 - n
 -  
     
Number of elements in vectors X and Y.
 - alpha
 -  
     
Specifies the scalar alpha.
 - x
 -  
     
Buffer holding input vectors X. Size of the buffer must be at least batch_size * stridex.
 - incx
 -  
     
Stride between two consecutive elements of X vectors. Must not be zero.
 - stridex
 -  
     
Stride between two consecutive X vectors. Must be at least zero.
 - y
 -  
     
Buffer holding input/output vectors Y. Size of the buffer must be at least batch_size * stridey.
 - incy
 -  
     
Stride between two consecutive elements of Y vectors. Must not be zero.
 - stridey
 -  
     
Stride between two consecutive Y vectors. Must be at least (1 + (n-1)*abs(incy)). See Matrix Storage for more details.
 - batch_size
 -  
     
Number of axpy computations to perform. Must be at least zero.
 
Output Parameters
- y
 -  
     
Output buffer overwritten by batch_sizeaxpy operations of the form alpha * X + Y.
 
axpy_batch (USM Version)
USM version of axpy_batch supports group API and strided API.
Group API
Group API operation is defined as:
idx = 0
for i = 0 … group_count – 1
     for j = 0 … group_size – 1
         X and Y are vectors at x[idx] and y[idx]
         Y = alpha[i] * X + Y
         idx = idx + 1
     end for
end for 
   where:
alpha is scalar
X and Y are vectors
For group API, each group contains vectors with the same parameters (size and increment). The x and y arrays contain the pointers for all the input vectors. Total number of vectors in x and y are given by:
 
   Syntax
namespace oneapi::mkl::blas::column_major {
    sycl::event axpy_batch(sycl::queue &queue,
                           const std::int64_t *n,
                           const T *alpha,
                           const T **x,
                           const std::int64_t *incx,
                           T **y,
                           const std::int64_t *incy,
                           std::int64_t group_count,
                           const std::int64_t *group_size,
                           const std::vector<sycl::event> &dependencies = {})
} 
   namespace oneapi::mkl::blas::row_major {
    sycl::event axpy_batch(sycl::queue &queue,
                           const std::int64_t *n,
                           const T *alpha,
                           const T **x,
                           const std::int64_t *incx,
                           T **y,
                           const std::int64_t *incy,
                           std::int64_t group_count,
                           const std::int64_t *group_size,
                           const std::vector<sycl::event> &dependencies = {})
} 
    
   Input Parameters
- queue
 -  
     
The queue where the routine should be executed.
 - n
 -  
     
Array of group_count integers. n[i] specifies number of elements in vectors X and Y for every vector in group i.
 - alpha
 -  
     
Array of group_count scalar elements. alpha[i] specifies scaling factor for vector X in group i.
 - x
 -  
     
Array of pointers to input vectors X with size total_batch_count. Size of the array allocated for the X vector of the group i must be at least (1 + (n[i] – 1)*abs(incx[i])). See Matrix Storage for more details.
 - incx
 -  
     
Array of group_count integers. incx[i] specifies stride of vector X in group i. Must not be zero.
 - y
 -  
     
Array of pointers to input/output vectors Y with size total_batch_count. Size of the array allocated for the Y vector of the group i must be at least (1 + (n[i] – 1)*abs(incy[i])). See Matrix Storage for more details.
 - incy
 -  
     
Array of group_count integers. incy[i] specifies the stride of vector Y in group i. Must not be zero.
 - group_count
 -  
     
Number of groups. Must be at least zero.
 - group_size
 -  
     
Array of group_count integers. group_size[i] specifies the number of axpy operations in group i. Each element in group_size must be at least zero.
 - dependencies
 -  
     
List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.
 
Output Parameters
- y
 -  
     
Array of pointers holding Y vectors, overwritten by total_batch_countaxpy operations of the form alpha * X + Y.
 
Return Values
Output event to wait on to ensure computation is complete.
Strided API
Strided API operation is defined as:
for i = 0 … batch_size – 1
    X and Y are vectors at offset i * stridex and i * stridey in x and y
    Y = alpha * X + Y
end for 
   where:
alpha is scalar
X and Y are vectors
For strided API, all vectors X and Y have same parameters (size, increments) and are stored at constant stride given by stridex and stridey from each other. The x and y arrays contain all the input vectors. Total number of vectors in x and y are given by batch_size parameter.
Syntax
namespace oneapi::mkl::blas::column_major {
    sycl::event axpy_batch(sycl::queue &queue,
                           std::int64_t n,
                           T alpha,
                           const T *x,
                           std::int64_t incx,
                           std::int64_t stridex,
                           T *y,
                           std::int64_t incy,
                           std::int64_t stridey,
                           std::int64_t batch_size,
                           const std::vector<sycl::event> &dependencies = {})
} 
   namespace oneapi::mkl::blas::row_major {
    sycl::event axpy_batch(sycl::queue &queue,
                           std::int64_t n,
                           T alpha,
                           const T *x,
                           std::int64_t incx,
                           std::int64_t stridex,
                           T *y,
                           std::int64_t incy,
                           std::int64_t stridey,
                           std::int64_t batch_size,
                           const std::vector<sycl::event> &dependencies = {})
} 
    
   Input Parameters
- queue
 -  
     
The queue where the routine should be executed.
 - n
 -  
     
Number of elements in vectors X and Y.
 - alpha
 -  
     
Specifies the scalar alpha.
 - x
 -  
     
Pointer to input vectors X. Size of the array must be at least batch_size * stridex.
 - incx
 -  
     
Stride between two consecutive elements of X vectors. Must not be zero.
 - stridex
 -  
     
Stride between two consecutive X vectors. Must be at least zero.
 - y
 -  
     
Pointer to input/output vectors Y. Size of the array must be at least batch_size * stridey.
 - incy
 -  
     
Stride between two consecutive elements of Y vectors. Must not be zero.
 - stridey
 -  
     
Stride between two consecutive Y vectors. Must be at least (1 + (n-1)*abs(incy)). See Matrix Storage for more details.
 - batch_size
 -  
     
Number of axpy computations to perform. Must be at least zero.
 - dependencies
 -  
     
List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.
 
Output Parameters
- y
 -  
     
Pointer to output vectors Y overwritten by batch_sizeaxpy operations of the form alpha * X + Y.
 
Return Values
Output event to wait on to ensure computation is complete.