rot

Performs rotation of points in the plane.

Description

Given two vectors x and y of n elements, the rot routines compute four scalar-vector products and update the input vectors with the sum of two of these scalar-vector products as follows:

\[\begin{split}\left[\begin{array}{c} x\\y \end{array}\right] \leftarrow \left[\begin{array}{c} \phantom{-}c*x + s*y\\ -s*x + c*y \end{array}\right]\end{split}\]

If s is a complex type, the operation is defined as:

\[\begin{split}\left[\begin{array}{c} x\\y \end{array}\right] \leftarrow \left[\begin{array}{c} \phantom{-}c*x + s*y\\ -conj(s)*x + c*y \end{array}\right]\end{split}\]

rot supports the following precisions.

T	Tc	Ts
sycl::half	sycl::half	sycl::half
oneapi::mkl::bfloat16	oneapi::mkl::bfloat16	oneapi::mkl::bfloat16
float	float	float
double	double	double
std::complex<float>	float	std::complex<float>
std::complex<double>	double	std::complex<double>
std::complex<float>	float	float
std::complex<double>	double	double

rot (Buffer Version)

Syntax

namespace oneapi::mkl::blas::column_major {
    void rot(sycl::queue &queue,
             std::int64_t n,
             sycl::buffer<T,1> &x,
             std::int64_t incx,
             sycl::buffer<T,1> &y,
             std::int64_t incy,
             Tc c,
             Ts s)
}

namespace oneapi::mkl::blas::row_major {
    void rot(sycl::queue &queue,
             std::int64_t n,
             sycl::buffer<T,1> &x,
             std::int64_t incx,
             sycl::buffer<T,1> &y,
             std::int64_t incy,
             Tc c,
             Ts s)
}

Input Parameters

queue

The queue where the routine should be executed.

n

Number of elements in vector x.

x

Buffer holding input vector x. The buffer must be of size at least (1 + (n - 1)*abs(incx)). See Matrix Storage for more details.

incx

Stride of vector x.

y

Buffer holding input vector y. The buffer must be of size at least (1 + (n - 1)*abs(incy)). See Matrix Storage for more details.

incy

Stride of vector y.

c

Scaling factor.

s

Scaling factor.

Output Parameters

x

Buffer holding updated buffer x.

y

Buffer holding updated buffer y.

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::mkl::invalid_argument

oneapi::mkl::unsupported_device

oneapi::mkl::host_bad_alloc

oneapi::mkl::device_bad_alloc

oneapi::mkl::unimplemented

rot (USM Version)

Syntax

namespace oneapi::mkl::blas::column_major {
    sycl::event rot(sycl::queue &queue,
                    std::int64_t n,
                    T *x,
                    std::int64_t incx,
                    T *y,
                    std::int64_t incy,
                    value_or_pointer<Tc> c,
                    value_or_pointer<Ts> s,
                    const std::vector<sycl::event> &dependencies = {})
}

namespace oneapi::mkl::blas::row_major {
    sycl::event rot(sycl::queue &queue,
                    std::int64_t n,
                    T *x,
                    std::int64_t incx,
                    T *y,
                    std::int64_t incy,
                    value_or_pointer<Tc> c,
                    value_or_pointer<Ts> s,
                    const std::vector<sycl::event> &dependencies = {})
}

Input Parameters

queue

The queue where the routine should be executed.

n

Number of elements in vector x.

x

Pointer to input vector x. The array holding input vector x must be of size at least (1 + (n - 1)*abs(incx)). See Matrix Storage for more details.

incx

Stride of vector x.

y

Pointer to input vector y. The array holding input vector y must be of size at least (1 + (n - 1)*abs(incy)). See Matrix Storage for more details.

incy

Stride of vector y.

c

Scaling factor. See Scalar Arguments in BLAS for more details.

s

Scaling factor. See Scalar Arguments in BLAS for more details.

dependencies

List of events to wait for before starting computation, if any. If omitted, defaults to no dependencies.

Output Parameters

x

Pointer to the updated matrix x.

y

Pointer to the updated matrix y.

Return Values

Output event to wait on to ensure computation is complete.

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::mkl::invalid_argument

oneapi::mkl::unsupported_device

oneapi::mkl::host_bad_alloc

oneapi::mkl::device_bad_alloc

oneapi::mkl::unimplemented

Parent topic: BLAS Level 1 Routines