rot: Apply Givens rotation

Functions
void	magma_crot (magma_int_t n, magmaFloatComplex_ptr dx, magma_int_t incx, magmaFloatComplex_ptr dy, magma_int_t incy, float c, magmaFloatComplex s, magma_queue_t queue)
	Apply Givens plane rotation, where cos (c) is real and sin (s) is complex.
void	magma_csrot (magma_int_t n, magmaFloatComplex_ptr dx, magma_int_t incx, magmaFloatComplex_ptr dy, magma_int_t incy, float c, float s, magma_queue_t queue)
	Apply Givens plane rotation, where cos (c) and sin (s) are real.
void	magma_drot (magma_int_t n, magmaDouble_ptr dx, magma_int_t incx, magmaDouble_ptr dy, magma_int_t incy, double c, double s, magma_queue_t queue)
	Apply Givens plane rotation, where cos (c) is real and sin (s) is real.
void	magma_srot (magma_int_t n, magmaFloat_ptr dx, magma_int_t incx, magmaFloat_ptr dy, magma_int_t incy, float c, float s, magma_queue_t queue)
	Apply Givens plane rotation, where cos (c) is real and sin (s) is real.
void	magma_zrot (magma_int_t n, magmaDoubleComplex_ptr dx, magma_int_t incx, magmaDoubleComplex_ptr dy, magma_int_t incy, double c, magmaDoubleComplex s, magma_queue_t queue)
	Apply Givens plane rotation, where cos (c) is real and sin (s) is complex.
void	magma_zdrot (magma_int_t n, magmaDoubleComplex_ptr dx, magma_int_t incx, magmaDoubleComplex_ptr dy, magma_int_t incy, double c, double s, magma_queue_t queue)
	Apply Givens plane rotation, where cos (c) and sin (s) are real.

Detailed Description

Function Documentation

magma_crot()

void magma_crot	(	magma_int_t	n,
		magmaFloatComplex_ptr	dx,
		magma_int_t	incx,
		magmaFloatComplex_ptr	dy,
		magma_int_t	incy,
		float	c,
		magmaFloatComplex	s,
		magma_queue_t	queue )

Apply Givens plane rotation, where cos (c) is real and sin (s) is complex.

Parameters

[in]	n	Number of elements in vector x and y. n >= 0.
[in,out]	dx	COMPLEX array on GPU device. The n element vector x of dimension (1 + (n-1)*incx). On output, overwritten with c*x + s*y.
[in]	incx	Stride between consecutive elements of dx. incx != 0.
[in,out]	dy	COMPLEX array on GPU device. The n element vector y of dimension (1 + (n-1)*incy). On output, overwritten with -conj(s)*x + c*y.
[in]	incy	Stride between consecutive elements of dy. incy != 0.
[in]	c	float. cosine.
[in]	s	COMPLEX. sine. c and s define a rotation [ c s ] where c*c + s*conj(s) = 1. [ -conj(s) c ]
[in]	queue	magma_queue_t Queue to execute in.

magma_csrot()

void magma_csrot	(	magma_int_t	n,
		magmaFloatComplex_ptr	dx,
		magma_int_t	incx,
		magmaFloatComplex_ptr	dy,
		magma_int_t	incy,
		float	c,
		float	s,
		magma_queue_t	queue )

Apply Givens plane rotation, where cos (c) and sin (s) are real.

Parameters

[in]	n	Number of elements in vector x and y. n >= 0.
[in,out]	dx	COMPLEX array on GPU device. The n element vector x of dimension (1 + (n-1)*incx). On output, overwritten with c*x + s*y.
[in]	incx	Stride between consecutive elements of dx. incx != 0.
[in,out]	dy	COMPLEX array on GPU device. The n element vector y of dimension (1 + (n-1)*incy). On output, overwritten with -conj(s)*x + c*y.
[in]	incy	Stride between consecutive elements of dy. incy != 0.
[in]	c	float. cosine.
[in]	s	float. sine. c and s define a rotation [ c s ] where c*c + s*s = 1. [ -s c ]
[in]	queue	magma_queue_t Queue to execute in.

magma_drot()

void magma_drot	(	magma_int_t	n,
		magmaDouble_ptr	dx,
		magma_int_t	incx,
		magmaDouble_ptr	dy,
		magma_int_t	incy,
		double	c,
		double	s,
		magma_queue_t	queue )

Apply Givens plane rotation, where cos (c) is real and sin (s) is real.

Parameters

[in]	n	Number of elements in vector x and y. n >= 0.
[in,out]	dx	DOUBLE PRECISION array on GPU device. The n element vector x of dimension (1 + (n-1)*incx). On output, overwritten with c*x + s*y.
[in]	incx	Stride between consecutive elements of dx. incx != 0.
[in,out]	dy	DOUBLE PRECISION array on GPU device. The n element vector y of dimension (1 + (n-1)*incy). On output, overwritten with -conj(s)*x + c*y.
[in]	incy	Stride between consecutive elements of dy. incy != 0.
[in]	c	double. cosine.
[in]	s	DOUBLE PRECISION. sine. c and s define a rotation [ c s ] where c*c + s*conj(s) = 1. [ -conj(s) c ]
[in]	queue	magma_queue_t Queue to execute in.

magma_srot()

void magma_srot	(	magma_int_t	n,
		magmaFloat_ptr	dx,
		magma_int_t	incx,
		magmaFloat_ptr	dy,
		magma_int_t	incy,
		float	c,
		float	s,
		magma_queue_t	queue )

Apply Givens plane rotation, where cos (c) is real and sin (s) is real.

Parameters

[in]	n	Number of elements in vector x and y. n >= 0.
[in,out]	dx	REAL array on GPU device. The n element vector x of dimension (1 + (n-1)*incx). On output, overwritten with c*x + s*y.
[in]	incx	Stride between consecutive elements of dx. incx != 0.
[in,out]	dy	REAL array on GPU device. The n element vector y of dimension (1 + (n-1)*incy). On output, overwritten with -conj(s)*x + c*y.
[in]	incy	Stride between consecutive elements of dy. incy != 0.
[in]	c	float. cosine.
[in]	s	REAL. sine. c and s define a rotation [ c s ] where c*c + s*conj(s) = 1. [ -conj(s) c ]
[in]	queue	magma_queue_t Queue to execute in.

magma_zrot()

void magma_zrot	(	magma_int_t	n,
		magmaDoubleComplex_ptr	dx,
		magma_int_t	incx,
		magmaDoubleComplex_ptr	dy,
		magma_int_t	incy,
		double	c,
		magmaDoubleComplex	s,
		magma_queue_t	queue )

Apply Givens plane rotation, where cos (c) is real and sin (s) is complex.

Parameters

[in]	n	Number of elements in vector x and y. n >= 0.
[in,out]	dx	COMPLEX_16 array on GPU device. The n element vector x of dimension (1 + (n-1)*incx). On output, overwritten with c*x + s*y.
[in]	incx	Stride between consecutive elements of dx. incx != 0.
[in,out]	dy	COMPLEX_16 array on GPU device. The n element vector y of dimension (1 + (n-1)*incy). On output, overwritten with -conj(s)*x + c*y.
[in]	incy	Stride between consecutive elements of dy. incy != 0.
[in]	c	double. cosine.
[in]	s	COMPLEX_16. sine. c and s define a rotation [ c s ] where c*c + s*conj(s) = 1. [ -conj(s) c ]
[in]	queue	magma_queue_t Queue to execute in.

magma_zdrot()

void magma_zdrot	(	magma_int_t	n,
		magmaDoubleComplex_ptr	dx,
		magma_int_t	incx,
		magmaDoubleComplex_ptr	dy,
		magma_int_t	incy,
		double	c,
		double	s,
		magma_queue_t	queue )

Apply Givens plane rotation, where cos (c) and sin (s) are real.

Parameters

[in]	n	Number of elements in vector x and y. n >= 0.
[in,out]	dx	COMPLEX_16 array on GPU device. The n element vector x of dimension (1 + (n-1)*incx). On output, overwritten with c*x + s*y.
[in]	incx	Stride between consecutive elements of dx. incx != 0.
[in,out]	dy	COMPLEX_16 array on GPU device. The n element vector y of dimension (1 + (n-1)*incy). On output, overwritten with -conj(s)*x + c*y.
[in]	incy	Stride between consecutive elements of dy. incy != 0.
[in]	c	double. cosine.
[in]	s	double. sine. c and s define a rotation [ c s ] where c*c + s*s = 1. [ -s c ]
[in]	queue	magma_queue_t Queue to execute in.