rocBLAS Level-1 Functions#

rocBLAS Level-1 functions perform scalar, vector, and vector-vector operations. [Level1]

Level-1 functions support the ILP64 API. For more information on these _64 functions, refer to section ILP64 Interface.

rocblas_iXamax + batched, strided_batched#

rocblas_status rocblas_isamax(rocblas_handle handle, rocblas_int n, const float *x, rocblas_int incx, rocblas_int *result)

rocblas_status rocblas_idamax(rocblas_handle handle, rocblas_int n, const double *x, rocblas_int incx, rocblas_int *result)

rocblas_status rocblas_icamax(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, rocblas_int *result)

rocblas_status rocblas_izamax(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, rocblas_int *result)

BLAS Level 1 API

amax finds the first index of the element of maximum magnitude of a vector x.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in x.
x – [in] device pointer storing vector x.
incx – [in] [rocblas_int] specifies the increment for the elements of y.
result – [inout] device pointer or host pointer to store the amax index. return is 0.0 if n, incx<=0.

The amax functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_isamax_batched(rocblas_handle handle, rocblas_int n, const float *const x[], rocblas_int incx, rocblas_int batch_count, rocblas_int *result)

rocblas_status rocblas_idamax_batched(rocblas_handle handle, rocblas_int n, const double *const x[], rocblas_int incx, rocblas_int batch_count, rocblas_int *result)

rocblas_status rocblas_icamax_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *const x[], rocblas_int incx, rocblas_int batch_count, rocblas_int *result)

rocblas_status rocblas_izamax_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *const x[], rocblas_int incx, rocblas_int batch_count, rocblas_int *result)

BLAS Level 1 API

amax_batched finds the first index of the element of maximum magnitude of each vector x_i in a batch, for i = 1, …, batch_count.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in each vector x_i.
x – [in] device array of device pointers storing each vector x_i.
incx – [in] [rocblas_int] specifies the increment for the elements of each x_i. incx must be > 0.
batch_count – [in] [rocblas_int] number of instances in the batch. Must be > 0.
result – [out] device or host array of pointers of batch_count size for results. return is 0 if n, incx<=0.

The amax_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_isamax_strided_batched(rocblas_handle handle, rocblas_int n, const float *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, rocblas_int *result)

rocblas_status rocblas_idamax_strided_batched(rocblas_handle handle, rocblas_int n, const double *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, rocblas_int *result)

rocblas_status rocblas_icamax_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, rocblas_int *result)

rocblas_status rocblas_izamax_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, rocblas_int *result)

BLAS Level 1 API

amax_strided_batched finds the first index of the element of maximum magnitude of each vector x_i in a batch, for i = 1, …, batch_count.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in each vector x_i.
x – [in] device pointer to the first vector x_1.
incx – [in] [rocblas_int] specifies the increment for the elements of each x_i. incx must be > 0.
stridex – [in] [rocblas_stride] specifies the pointer increment between one x_i and the next x_(i + 1).
batch_count – [in] [rocblas_int] number of instances in the batch.
result – [out] device or host pointer for storing contiguous batch_count results. return is 0 if n <= 0, incx<=0.

The amax_strided_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_iXamin + batched, strided_batched#

rocblas_status rocblas_isamin(rocblas_handle handle, rocblas_int n, const float *x, rocblas_int incx, rocblas_int *result)

rocblas_status rocblas_idamin(rocblas_handle handle, rocblas_int n, const double *x, rocblas_int incx, rocblas_int *result)

rocblas_status rocblas_icamin(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, rocblas_int *result)

rocblas_status rocblas_izamin(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, rocblas_int *result)

BLAS Level 1 API

amin finds the first index of the element of minimum magnitude of a vector x.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in x.
x – [in] device pointer storing vector x.
incx – [in] [rocblas_int] specifies the increment for the elements of y.
result – [inout] device pointer or host pointer to store the amin index. return is 0.0 if n, incx<=0.

The amin functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_isamin_batched(rocblas_handle handle, rocblas_int n, const float *const x[], rocblas_int incx, rocblas_int batch_count, rocblas_int *result)

rocblas_status rocblas_idamin_batched(rocblas_handle handle, rocblas_int n, const double *const x[], rocblas_int incx, rocblas_int batch_count, rocblas_int *result)

rocblas_status rocblas_icamin_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *const x[], rocblas_int incx, rocblas_int batch_count, rocblas_int *result)

rocblas_status rocblas_izamin_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *const x[], rocblas_int incx, rocblas_int batch_count, rocblas_int *result)

BLAS Level 1 API

amin_batched finds the first index of the element of minimum magnitude of each vector x_i in a batch, for i = 1, …, batch_count.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in each vector x_i.
x – [in] device array of device pointers storing each vector x_i.
incx – [in] [rocblas_int] specifies the increment for the elements of each x_i. incx must be > 0.
batch_count – [in] [rocblas_int] number of instances in the batch. Must be > 0.
result – [out] device or host pointers to array of batch_count size for results. return is 0 if n, incx<=0.

The amin_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_isamin_strided_batched(rocblas_handle handle, rocblas_int n, const float *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, rocblas_int *result)

rocblas_status rocblas_idamin_strided_batched(rocblas_handle handle, rocblas_int n, const double *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, rocblas_int *result)

rocblas_status rocblas_icamin_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, rocblas_int *result)

rocblas_status rocblas_izamin_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, rocblas_int *result)

BLAS Level 1 API

amin_strided_batched finds the first index of the element of minimum magnitude of each vector x_i in a batch, for i = 1, …, batch_count.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in each vector x_i.
x – [in] device pointer to the first vector x_1.
incx – [in] [rocblas_int] specifies the increment for the elements of each x_i. incx must be > 0.
stridex – [in] [rocblas_stride] specifies the pointer increment between one x_i and the next x_(i + 1).
batch_count – [in] [rocblas_int] number of instances in the batch.
result – [out] device or host pointer to array for storing contiguous batch_count results. return is 0 if n <= 0, incx<=0.

The amin_strided_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_Xasum + batched, strided_batched#

rocblas_status rocblas_sasum(rocblas_handle handle, rocblas_int n, const float *x, rocblas_int incx, float *result)

rocblas_status rocblas_dasum(rocblas_handle handle, rocblas_int n, const double *x, rocblas_int incx, double *result)

rocblas_status rocblas_scasum(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, float *result)

rocblas_status rocblas_dzasum(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, double *result)

BLAS Level 1 API

asum computes the sum of the magnitudes of elements of a real vector x, or the sum of magnitudes of the real and imaginary parts of elements if x is a complex vector.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in x and y.
x – [in] device pointer storing vector x.
incx – [in] [rocblas_int] specifies the increment for the elements of x. incx must be > 0.
result – [inout] device pointer or host pointer to store the asum product. return is 0.0 if n <= 0.

The asum functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_sasum_batched(rocblas_handle handle, rocblas_int n, const float *const x[], rocblas_int incx, rocblas_int batch_count, float *results)

rocblas_status rocblas_dasum_batched(rocblas_handle handle, rocblas_int n, const double *const x[], rocblas_int incx, rocblas_int batch_count, double *results)

rocblas_status rocblas_scasum_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *const x[], rocblas_int incx, rocblas_int batch_count, float *results)

rocblas_status rocblas_dzasum_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *const x[], rocblas_int incx, rocblas_int batch_count, double *results)

BLAS Level 1 API

asum_batched computes the sum of the magnitudes of the elements in a batch of real vectors x_i, or the sum of magnitudes of the real and imaginary parts of elements if x_i is a complex vector, for i = 1, …, batch_count.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in each vector x_i.
x – [in] device array of device pointers storing each vector x_i.
incx – [in] [rocblas_int] specifies the increment for the elements of each x_i. incx must be > 0.
batch_count – [in] [rocblas_int] number of instances in the batch.
results – [out] device array or host array of batch_count size for results. return is 0.0 if n, incx<=0.

The asum_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_sasum_strided_batched(rocblas_handle handle, rocblas_int n, const float *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, float *results)

rocblas_status rocblas_dasum_strided_batched(rocblas_handle handle, rocblas_int n, const double *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, double *results)

rocblas_status rocblas_scasum_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, float *results)

rocblas_status rocblas_dzasum_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, double *results)

BLAS Level 1 API

asum_strided_batched computes the sum of the magnitudes of elements of a real vectors x_i, or the sum of magnitudes of the real and imaginary parts of elements if x_i is a complex vector, for i = 1, …, batch_count.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in each vector x_i.
x – [in] device pointer to the first vector x_1.
incx – [in] [rocblas_int] specifies the increment for the elements of each x_i. incx must be > 0.
stridex – [in] [rocblas_stride] stride from the start of one vector (x_i) and the next one (x_i+1). There are no restrictions placed on stride_x. However, ensure that stride_x is of appropriate size. For a typical case this means stride_x >= n * incx.
results – [out] device pointer or host pointer to array for storing contiguous batch_count results. return is 0.0 if n, incx<=0.
batch_count – [in] [rocblas_int] number of instances in the batch.

The asum_strided_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_Xaxpy + batched, strided_batched#

rocblas_status rocblas_saxpy(rocblas_handle handle, rocblas_int n, const float *alpha, const float *x, rocblas_int incx, float *y, rocblas_int incy)

rocblas_status rocblas_daxpy(rocblas_handle handle, rocblas_int n, const double *alpha, const double *x, rocblas_int incx, double *y, rocblas_int incy)

rocblas_status rocblas_haxpy(rocblas_handle handle, rocblas_int n, const rocblas_half *alpha, const rocblas_half *x, rocblas_int incx, rocblas_half *y, rocblas_int incy)

rocblas_status rocblas_caxpy(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *alpha, const rocblas_float_complex *x, rocblas_int incx, rocblas_float_complex *y, rocblas_int incy)

rocblas_status rocblas_zaxpy(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *alpha, const rocblas_double_complex *x, rocblas_int incx, rocblas_double_complex *y, rocblas_int incy)

BLAS Level 1 API

axpy computes constant alpha multiplied by vector x, plus vector y:

y := alpha * x + y

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in x and y.
alpha – [in] device pointer or host pointer to specify the scalar alpha.
x – [in] device pointer storing vector x.
incx – [in] [rocblas_int] specifies the increment for the elements of x.
y – [out] device pointer storing vector y.
incy – [inout] [rocblas_int] specifies the increment for the elements of y.

The axpy functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_saxpy_batched(rocblas_handle handle, rocblas_int n, const float *alpha, const float *const x[], rocblas_int incx, float *const y[], rocblas_int incy, rocblas_int batch_count)

rocblas_status rocblas_daxpy_batched(rocblas_handle handle, rocblas_int n, const double *alpha, const double *const x[], rocblas_int incx, double *const y[], rocblas_int incy, rocblas_int batch_count)

rocblas_status rocblas_haxpy_batched(rocblas_handle handle, rocblas_int n, const rocblas_half *alpha, const rocblas_half *const x[], rocblas_int incx, rocblas_half *const y[], rocblas_int incy, rocblas_int batch_count)

rocblas_status rocblas_caxpy_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *alpha, const rocblas_float_complex *const x[], rocblas_int incx, rocblas_float_complex *const y[], rocblas_int incy, rocblas_int batch_count)

rocblas_status rocblas_zaxpy_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *alpha, const rocblas_double_complex *const x[], rocblas_int incx, rocblas_double_complex *const y[], rocblas_int incy, rocblas_int batch_count)

BLAS Level 1 API

axpy_batched compute y := alpha * x + y over a set of batched vectors.

Parameters:

handle – [in] rocblas_handle handle to the rocblas library context queue.
n – [in] rocblas_int
alpha – [in] specifies the scalar alpha.
x – [in] pointer storing vector x on the GPU.
incx – [in] rocblas_int specifies the increment for the elements of x.
y – [out] pointer storing vector y on the GPU.
incy – [inout] rocblas_int specifies the increment for the elements of y.
batch_count – [in] rocblas_int number of instances in the batch.

The axpy_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_saxpy_strided_batched(rocblas_handle handle, rocblas_int n, const float *alpha, const float *x, rocblas_int incx, rocblas_stride stridex, float *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count)

rocblas_status rocblas_daxpy_strided_batched(rocblas_handle handle, rocblas_int n, const double *alpha, const double *x, rocblas_int incx, rocblas_stride stridex, double *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count)

rocblas_status rocblas_haxpy_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_half *alpha, const rocblas_half *x, rocblas_int incx, rocblas_stride stridex, rocblas_half *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count)

rocblas_status rocblas_caxpy_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *alpha, const rocblas_float_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_float_complex *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count)

rocblas_status rocblas_zaxpy_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *alpha, const rocblas_double_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_double_complex *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count)

BLAS Level 1 API

axpy_strided_batched compute y := alpha * x + y over a set of strided batched vectors.

Parameters:

handle – [in] rocblas_handle handle to the rocblas library context queue.
n – [in] rocblas_int.
alpha – [in] specifies the scalar alpha.
x – [in] pointer storing vector x on the GPU.
incx – [in] rocblas_int specifies the increment for the elements of x.
stridex – [in] rocblas_stride specifies the increment between vectors of x.
y – [out] pointer storing vector y on the GPU.
incy – [inout] rocblas_int specifies the increment for the elements of y.
stridey – [in] rocblas_stride specifies the increment between vectors of y.
batch_count – [in] rocblas_int number of instances in the batch.

The axpy_strided_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_Xcopy + batched, strided_batched#

rocblas_status rocblas_scopy(rocblas_handle handle, rocblas_int n, const float *x, rocblas_int incx, float *y, rocblas_int incy)

rocblas_status rocblas_dcopy(rocblas_handle handle, rocblas_int n, const double *x, rocblas_int incx, double *y, rocblas_int incy)

rocblas_status rocblas_ccopy(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, rocblas_float_complex *y, rocblas_int incy)

rocblas_status rocblas_zcopy(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, rocblas_double_complex *y, rocblas_int incy)

BLAS Level 1 API

copy copies each element x[i] into y[i], for i = 1 , … , n:

y := x

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in x to be copied to y.
x – [in] device pointer storing vector x.
incx – [in] [rocblas_int] specifies the increment for the elements of x.
y – [out] device pointer storing vector y.
incy – [in] [rocblas_int] specifies the increment for the elements of y.

The copy functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_scopy_batched(rocblas_handle handle, rocblas_int n, const float *const x[], rocblas_int incx, float *const y[], rocblas_int incy, rocblas_int batch_count)

rocblas_status rocblas_dcopy_batched(rocblas_handle handle, rocblas_int n, const double *const x[], rocblas_int incx, double *const y[], rocblas_int incy, rocblas_int batch_count)

rocblas_status rocblas_ccopy_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *const x[], rocblas_int incx, rocblas_float_complex *const y[], rocblas_int incy, rocblas_int batch_count)

rocblas_status rocblas_zcopy_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *const x[], rocblas_int incx, rocblas_double_complex *const y[], rocblas_int incy, rocblas_int batch_count)

BLAS Level 1 API

copy_batched copies each element x_i[j] into y_i[j], for j = 1 , … , n; i = 1 , … , batch_count:

y_i := x_i,
where (x_i, y_i) is the i-th instance of the batch.
x_i and y_i are vectors.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in each x_i to be copied to y_i.
x – [in] device array of device pointers storing each vector x_i.
incx – [in] [rocblas_int] specifies the increment for the elements of each vector x_i.
y – [out] device array of device pointers storing each vector y_i.
incy – [in] [rocblas_int] specifies the increment for the elements of each vector y_i.
batch_count – [in] [rocblas_int] number of instances in the batch.

The copy_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_scopy_strided_batched(rocblas_handle handle, rocblas_int n, const float *x, rocblas_int incx, rocblas_stride stridex, float *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count)

rocblas_status rocblas_dcopy_strided_batched(rocblas_handle handle, rocblas_int n, const double *x, rocblas_int incx, rocblas_stride stridex, double *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count)

rocblas_status rocblas_ccopy_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_float_complex *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count)

rocblas_status rocblas_zcopy_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_double_complex *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count)

BLAS Level 1 API

copy_strided_batched copies each element x_i[j] into y_i[j], for j = 1 , … , n; i = 1 , … , batch_count:

y_i := x_i,
where (x_i, y_i) is the i-th instance of the batch.
x_i and y_i are vectors.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in each x_i to be copied to y_i.
x – [in] device pointer to the first vector (x_1) in the batch.
incx – [in] [rocblas_int] specifies the increments for the elements of vectors x_i.
stridex – [in] [rocblas_stride] stride from the start of one vector (x_i) and the next one (x_i+1). There are no restrictions placed on stride_x. However, the user should take care to ensure that stride_x is of appropriate size. For a typical case, this means stride_x >= n * incx.
y – [out] device pointer to the first vector (y_1) in the batch.
incy – [in] [rocblas_int] specifies the increment for the elements of vectors y_i.
stridey – [in] [rocblas_stride] stride from the start of one vector (y_i) and the next one (y_i+1). There are no restrictions placed on stride_y, However, ensure that stride_y is of appropriate size, for a typical case this means stride_y >= n * incy. stridey should be non zero.
batch_count – [in] [rocblas_int] number of instances in the batch.

The copy_strided_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_Xdot + batched, strided_batched#

rocblas_status rocblas_sdot(rocblas_handle handle, rocblas_int n, const float *x, rocblas_int incx, const float *y, rocblas_int incy, float *result)

rocblas_status rocblas_ddot(rocblas_handle handle, rocblas_int n, const double *x, rocblas_int incx, const double *y, rocblas_int incy, double *result)

rocblas_status rocblas_hdot(rocblas_handle handle, rocblas_int n, const rocblas_half *x, rocblas_int incx, const rocblas_half *y, rocblas_int incy, rocblas_half *result)

rocblas_status rocblas_bfdot(rocblas_handle handle, rocblas_int n, const rocblas_bfloat16 *x, rocblas_int incx, const rocblas_bfloat16 *y, rocblas_int incy, rocblas_bfloat16 *result)

rocblas_status rocblas_cdotu(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, const rocblas_float_complex *y, rocblas_int incy, rocblas_float_complex *result)

rocblas_status rocblas_cdotc(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, const rocblas_float_complex *y, rocblas_int incy, rocblas_float_complex *result)

rocblas_status rocblas_zdotu(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, const rocblas_double_complex *y, rocblas_int incy, rocblas_double_complex *result)

rocblas_status rocblas_zdotc(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, const rocblas_double_complex *y, rocblas_int incy, rocblas_double_complex *result)

BLAS Level 1 API

dot(u) performs the dot product of vectors x and y:

result = x * y;

dotc performs the dot product of the conjugate of complex vector x and complex vector y.

result = conjugate (x) * y;

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in x and y.
x – [in] device pointer storing vector x.
incx – [in] [rocblas_int] specifies the increment for the elements of y.
y – [in] device pointer storing vector y.
incy – [in] [rocblas_int] specifies the increment for the elements of y.
result – [inout] device pointer or host pointer to store the dot product. return is 0.0 if n <= 0.

The dot/c/u functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_sdot_batched(rocblas_handle handle, rocblas_int n, const float *const x[], rocblas_int incx, const float *const y[], rocblas_int incy, rocblas_int batch_count, float *result)

rocblas_status rocblas_ddot_batched(rocblas_handle handle, rocblas_int n, const double *const x[], rocblas_int incx, const double *const y[], rocblas_int incy, rocblas_int batch_count, double *result)

rocblas_status rocblas_hdot_batched(rocblas_handle handle, rocblas_int n, const rocblas_half *const x[], rocblas_int incx, const rocblas_half *const y[], rocblas_int incy, rocblas_int batch_count, rocblas_half *result)

rocblas_status rocblas_bfdot_batched(rocblas_handle handle, rocblas_int n, const rocblas_bfloat16 *const x[], rocblas_int incx, const rocblas_bfloat16 *const y[], rocblas_int incy, rocblas_int batch_count, rocblas_bfloat16 *result)

rocblas_status rocblas_cdotu_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *const x[], rocblas_int incx, const rocblas_float_complex *const y[], rocblas_int incy, rocblas_int batch_count, rocblas_float_complex *result)

rocblas_status rocblas_cdotc_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *const x[], rocblas_int incx, const rocblas_float_complex *const y[], rocblas_int incy, rocblas_int batch_count, rocblas_float_complex *result)

rocblas_status rocblas_zdotu_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *const x[], rocblas_int incx, const rocblas_double_complex *const y[], rocblas_int incy, rocblas_int batch_count, rocblas_double_complex *result)

rocblas_status rocblas_zdotc_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *const x[], rocblas_int incx, const rocblas_double_complex *const y[], rocblas_int incy, rocblas_int batch_count, rocblas_double_complex *result)

BLAS Level 1 API

dot_batched(u) performs a batch of dot products of vectors x and y:

result_i = x_i * y_i;

dotc_batched performs a batch of dot products of the conjugate of complex vector x and complex vector y

result_i = conjugate (x_i) * y_i;
where (x_i, y_i) is the i-th instance of the batch.
x_i and y_i are vectors, for i = 1, ..., batch_count.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in each x_i and y_i.
x – [in] device array of device pointers storing each vector x_i.
incx – [in] [rocblas_int] specifies the increment for the elements of each x_i.
y – [in] device array of device pointers storing each vector y_i.
incy – [in] [rocblas_int] specifies the increment for the elements of each y_i.
batch_count – [in] [rocblas_int] number of instances in the batch.
result – [inout] device array or host array of batch_count size to store the dot products of each batch. return 0.0 for each element if n <= 0.

The dot/c/u_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_sdot_strided_batched(rocblas_handle handle, rocblas_int n, const float *x, rocblas_int incx, rocblas_stride stridex, const float *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count, float *result)

rocblas_status rocblas_ddot_strided_batched(rocblas_handle handle, rocblas_int n, const double *x, rocblas_int incx, rocblas_stride stridex, const double *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count, double *result)

rocblas_status rocblas_hdot_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_half *x, rocblas_int incx, rocblas_stride stridex, const rocblas_half *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count, rocblas_half *result)

rocblas_status rocblas_bfdot_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_bfloat16 *x, rocblas_int incx, rocblas_stride stridex, const rocblas_bfloat16 *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count, rocblas_bfloat16 *result)

rocblas_status rocblas_cdotu_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, rocblas_stride stridex, const rocblas_float_complex *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count, rocblas_float_complex *result)

rocblas_status rocblas_cdotc_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, rocblas_stride stridex, const rocblas_float_complex *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count, rocblas_float_complex *result)

rocblas_status rocblas_zdotu_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, rocblas_stride stridex, const rocblas_double_complex *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count, rocblas_double_complex *result)

rocblas_status rocblas_zdotc_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, rocblas_stride stridex, const rocblas_double_complex *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count, rocblas_double_complex *result)

BLAS Level 1 API

dot_strided_batched(u) performs a batch of dot products of vectors x and y:

result_i = x_i * y_i;

dotc_strided_batched performs a batch of dot products of the conjugate of complex vector x and complex vector y

result_i = conjugate (x_i) * y_i;
where (x_i, y_i) is the i-th instance of the batch.
x_i and y_i are vectors, for i = 1, ..., batch_count.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in each x_i and y_i.
x – [in] device pointer to the first vector (x_1) in the batch.
incx – [in] [rocblas_int] specifies the increment for the elements of each x_i.
stridex – [in] [rocblas_stride] stride from the start of one vector (x_i) and the next one (x_i+1).
y – [in] device pointer to the first vector (y_1) in the batch.
incy – [in] [rocblas_int] specifies the increment for the elements of each y_i.
stridey – [in] [rocblas_stride] stride from the start of one vector (y_i) and the next one (y_i+1).
batch_count – [in] [rocblas_int] number of instances in the batch.
result – [inout] device array or host array of batch_count size to store the dot products of each batch. return 0.0 for each element if n <= 0.

The dot/c/u_strided_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_Xnrm2 + batched, strided_batched#

rocblas_status rocblas_snrm2(rocblas_handle handle, rocblas_int n, const float *x, rocblas_int incx, float *result)

rocblas_status rocblas_dnrm2(rocblas_handle handle, rocblas_int n, const double *x, rocblas_int incx, double *result)

rocblas_status rocblas_scnrm2(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, float *result)

rocblas_status rocblas_dznrm2(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, double *result)

BLAS Level 1 API

nrm2 computes the euclidean norm of a real or complex vector:

result := sqrt( x'*x ) for real vectors
result := sqrt( x**H*x ) for complex vectors

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in x.
x – [in] device pointer storing vector x.
incx – [in] [rocblas_int] specifies the increment for the elements of y.
result – [inout] device pointer or host pointer to store the nrm2 product. return is 0.0 if n, incx<=0.

The nrm2 functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_snrm2_batched(rocblas_handle handle, rocblas_int n, const float *const x[], rocblas_int incx, rocblas_int batch_count, float *results)

rocblas_status rocblas_dnrm2_batched(rocblas_handle handle, rocblas_int n, const double *const x[], rocblas_int incx, rocblas_int batch_count, double *results)

rocblas_status rocblas_scnrm2_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *const x[], rocblas_int incx, rocblas_int batch_count, float *results)

rocblas_status rocblas_dznrm2_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *const x[], rocblas_int incx, rocblas_int batch_count, double *results)

BLAS Level 1 API

nrm2_batched computes the euclidean norm over a batch of real or complex vectors:

result := sqrt( x_i'*x_i ) for real vectors x, for i = 1, ..., batch_count
result := sqrt( x_i**H*x_i ) for complex vectors x, for i = 1, ..., batch_count

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in each x_i.
x – [in] device array of device pointers storing each vector x_i.
incx – [in] [rocblas_int] specifies the increment for the elements of each x_i. incx must be > 0.
batch_count – [in] [rocblas_int] number of instances in the batch.
results – [out] device pointer or host pointer to array of batch_count size for nrm2 results. return is 0.0 for each element if n <= 0, incx<=0.

The nrm2_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_snrm2_strided_batched(rocblas_handle handle, rocblas_int n, const float *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, float *results)

rocblas_status rocblas_dnrm2_strided_batched(rocblas_handle handle, rocblas_int n, const double *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, double *results)

rocblas_status rocblas_scnrm2_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, float *results)

rocblas_status rocblas_dznrm2_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_int batch_count, double *results)

BLAS Level 1 API

nrm2_strided_batched computes the euclidean norm over a batch of real or complex vectors:

result := sqrt( x_i'*x_i ) for real vectors x, for i = 1, ..., batch_count
result := sqrt( x_i**H*x_i ) for complex vectors, for i = 1, ..., batch_count

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in each x_i.
x – [in] device pointer to the first vector x_1.
incx – [in] [rocblas_int] specifies the increment for the elements of each x_i. incx must be > 0.
stridex – [in] [rocblas_stride] stride from the start of one vector (x_i) and the next one (x_i+1). There are no restrictions placed on stride_x. However, ensure that stride_x is of appropriate size. For a typical case this means stride_x >= n * incx.
batch_count – [in] [rocblas_int] number of instances in the batch.
results – [out] device pointer or host pointer to array for storing contiguous batch_count results. return is 0.0 for each element if n <= 0, incx<=0.

The nrm2_strided_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_Xrot + batched, strided_batched#

rocblas_status rocblas_srot(rocblas_handle handle, rocblas_int n, float *x, rocblas_int incx, float *y, rocblas_int incy, const float *c, const float *s)

rocblas_status rocblas_drot(rocblas_handle handle, rocblas_int n, double *x, rocblas_int incx, double *y, rocblas_int incy, const double *c, const double *s)

rocblas_status rocblas_crot(rocblas_handle handle, rocblas_int n, rocblas_float_complex *x, rocblas_int incx, rocblas_float_complex *y, rocblas_int incy, const float *c, const rocblas_float_complex *s)

rocblas_status rocblas_csrot(rocblas_handle handle, rocblas_int n, rocblas_float_complex *x, rocblas_int incx, rocblas_float_complex *y, rocblas_int incy, const float *c, const float *s)

rocblas_status rocblas_zrot(rocblas_handle handle, rocblas_int n, rocblas_double_complex *x, rocblas_int incx, rocblas_double_complex *y, rocblas_int incy, const double *c, const rocblas_double_complex *s)

rocblas_status rocblas_zdrot(rocblas_handle handle, rocblas_int n, rocblas_double_complex *x, rocblas_int incx, rocblas_double_complex *y, rocblas_int incy, const double *c, const double *s)

BLAS Level 1 API

rot applies the Givens rotation matrix defined by c=cos(alpha) and s=sin(alpha) to vectors x and y. Scalars c and s may be stored in either host or device memory. Location is specified by calling rocblas_set_pointer_mode.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in the x and y vectors.
x – [inout] device pointer storing vector x.
incx – [in] [rocblas_int] specifies the increment between elements of x.
y – [inout] device pointer storing vector y.
incy – [in] [rocblas_int] specifies the increment between elements of y.
c – [in] device pointer or host pointer storing scalar cosine component of the rotation matrix.
s – [in] device pointer or host pointer storing scalar sine component of the rotation matrix.

The rot functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_srot_batched(rocblas_handle handle, rocblas_int n, float *const x[], rocblas_int incx, float *const y[], rocblas_int incy, const float *c, const float *s, rocblas_int batch_count)

rocblas_status rocblas_drot_batched(rocblas_handle handle, rocblas_int n, double *const x[], rocblas_int incx, double *const y[], rocblas_int incy, const double *c, const double *s, rocblas_int batch_count)

rocblas_status rocblas_crot_batched(rocblas_handle handle, rocblas_int n, rocblas_float_complex *const x[], rocblas_int incx, rocblas_float_complex *const y[], rocblas_int incy, const float *c, const rocblas_float_complex *s, rocblas_int batch_count)

rocblas_status rocblas_csrot_batched(rocblas_handle handle, rocblas_int n, rocblas_float_complex *const x[], rocblas_int incx, rocblas_float_complex *const y[], rocblas_int incy, const float *c, const float *s, rocblas_int batch_count)

rocblas_status rocblas_zrot_batched(rocblas_handle handle, rocblas_int n, rocblas_double_complex *const x[], rocblas_int incx, rocblas_double_complex *const y[], rocblas_int incy, const double *c, const rocblas_double_complex *s, rocblas_int batch_count)

rocblas_status rocblas_zdrot_batched(rocblas_handle handle, rocblas_int n, rocblas_double_complex *const x[], rocblas_int incx, rocblas_double_complex *const y[], rocblas_int incy, const double *c, const double *s, rocblas_int batch_count)

BLAS Level 1 API

rot_batched applies the Givens rotation matrix defined by c=cos(alpha) and s=sin(alpha) to batched vectors x_i and y_i, for i = 1, …, batch_count. Scalars c and s may be stored in either host or device memory. Location is specified by calling rocblas_set_pointer_mode.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in each x_i and y_i vectors.
x – [inout] device array of deivce pointers storing each vector x_i.
incx – [in] [rocblas_int] specifies the increment between elements of each x_i.
y – [inout] device array of device pointers storing each vector y_i.
incy – [in] [rocblas_int] specifies the increment between elements of each y_i.
c – [in] device pointer or host pointer to scalar cosine component of the rotation matrix.
s – [in] device pointer or host pointer to scalar sine component of the rotation matrix.
batch_count – [in] [rocblas_int] the number of x and y arrays, i.e. the number of batches.

The rot_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_srot_strided_batched(rocblas_handle handle, rocblas_int n, float *x, rocblas_int incx, rocblas_stride stride_x, float *y, rocblas_int incy, rocblas_stride stride_y, const float *c, const float *s, rocblas_int batch_count)

rocblas_status rocblas_drot_strided_batched(rocblas_handle handle, rocblas_int n, double *x, rocblas_int incx, rocblas_stride stride_x, double *y, rocblas_int incy, rocblas_stride stride_y, const double *c, const double *s, rocblas_int batch_count)

rocblas_status rocblas_crot_strided_batched(rocblas_handle handle, rocblas_int n, rocblas_float_complex *x, rocblas_int incx, rocblas_stride stride_x, rocblas_float_complex *y, rocblas_int incy, rocblas_stride stride_y, const float *c, const rocblas_float_complex *s, rocblas_int batch_count)

rocblas_status rocblas_csrot_strided_batched(rocblas_handle handle, rocblas_int n, rocblas_float_complex *x, rocblas_int incx, rocblas_stride stride_x, rocblas_float_complex *y, rocblas_int incy, rocblas_stride stride_y, const float *c, const float *s, rocblas_int batch_count)

rocblas_status rocblas_zrot_strided_batched(rocblas_handle handle, rocblas_int n, rocblas_double_complex *x, rocblas_int incx, rocblas_stride stride_x, rocblas_double_complex *y, rocblas_int incy, rocblas_stride stride_y, const double *c, const rocblas_double_complex *s, rocblas_int batch_count)

rocblas_status rocblas_zdrot_strided_batched(rocblas_handle handle, rocblas_int n, rocblas_double_complex *x, rocblas_int incx, rocblas_stride stride_x, rocblas_double_complex *y, rocblas_int incy, rocblas_stride stride_y, const double *c, const double *s, rocblas_int batch_count)

BLAS Level 1 API

rot_strided_batched applies the Givens rotation matrix defined by c=cos(alpha) and s=sin(alpha) to strided batched vectors x_i and y_i, for i = 1, …, batch_count. Scalars c and s may be stored in either host or device memory, location is specified by calling rocblas_set_pointer_mode.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in each x_i and y_i vectors.
x – [inout] device pointer to the first vector x_1.
incx – [in] [rocblas_int] specifies the increment between elements of each x_i.
stride_x – [in] [rocblas_stride] specifies the increment from the beginning of x_i to the beginning of x_(i+1).
y – [inout] device pointer to the first vector y_1.
incy – [in] [rocblas_int] specifies the increment between elements of each y_i.
stride_y – [in] [rocblas_stride] specifies the increment from the beginning of y_i to the beginning of y_(i+1)
c – [in] device pointer or host pointer to scalar cosine component of the rotation matrix.
s – [in] device pointer or host pointer to scalar sine component of the rotation matrix.
batch_count – [in] [rocblas_int] the number of x and y arrays, i.e. the number of batches.

The rot_strided_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_Xrotg + batched, strided_batched#

rocblas_status rocblas_srotg(rocblas_handle handle, float *a, float *b, float *c, float *s)

rocblas_status rocblas_drotg(rocblas_handle handle, double *a, double *b, double *c, double *s)

rocblas_status rocblas_crotg(rocblas_handle handle, rocblas_float_complex *a, rocblas_float_complex *b, float *c, rocblas_float_complex *s)

rocblas_status rocblas_zrotg(rocblas_handle handle, rocblas_double_complex *a, rocblas_double_complex *b, double *c, rocblas_double_complex *s)

BLAS Level 1 API

rotg creates the Givens rotation matrix for the vector (a b). Scalars a, b, c, and s may be stored in either host or device memory, location is specified by calling rocblas_set_pointer_mode. The computation uses the formulas

sigma = sgn(a)    if |a| >  |b|
      = sgn(b)    if |b| >= |a|
r = sigma*sqrt( a**2 + b**2 )
c = 1; s = 0      if r = 0
c = a/r; s = b/r  if r != 0

The subroutine also computes

z = s    if |a| > |b|,
  = 1/c  if |b| >= |a| and c != 0
  = 1    if c = 0

This allows c and s to be reconstructed from z as follows:

If z = 1, set c = 0, s = 1.
If |z| < 1, set c = sqrt(1 - z**2) and s = z.
If |z| > 1, set c = 1/z and s = sqrt( 1 - c**2).

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
a – [inout] pointer to a, an element in vector (a,b), overwritten with r.
b – [inout] pointer to b, an element in vector (a,b), overwritten with z.
c – [out] pointer to c, cosine element of Givens rotation.
s – [out] pointer to s, sine element of Givens rotation.

The rotg functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_srotg_batched(rocblas_handle handle, float *const a[], float *const b[], float *const c[], float *const s[], rocblas_int batch_count)

rocblas_status rocblas_drotg_batched(rocblas_handle handle, double *const a[], double *const b[], double *const c[], double *const s[], rocblas_int batch_count)

rocblas_status rocblas_crotg_batched(rocblas_handle handle, rocblas_float_complex *const a[], rocblas_float_complex *const b[], float *const c[], rocblas_float_complex *const s[], rocblas_int batch_count)

rocblas_status rocblas_zrotg_batched(rocblas_handle handle, rocblas_double_complex *const a[], rocblas_double_complex *const b[], double *const c[], rocblas_double_complex *const s[], rocblas_int batch_count)

BLAS Level 1 API

rotg_batched creates the Givens rotation matrix for the batched vectors (a_i b_i), for i = 1, …, batch_count. a, b, c, and s are host pointers to an array of device pointers on the device, where each device pointer points to a scalar value of a_i, b_i, c_i, or s_i.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
a – [inout] a, overwritten with r.
b – [inout] b overwritten with z.
c – [out] cosine element of Givens rotation for the batch.
s – [out] sine element of Givens rotation for the batch.
batch_count – [in] [rocblas_int] number of batches (length of arrays a, b, c, and s).

The rotg_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_srotg_strided_batched(rocblas_handle handle, float *a, rocblas_stride stride_a, float *b, rocblas_stride stride_b, float *c, rocblas_stride stride_c, float *s, rocblas_stride stride_s, rocblas_int batch_count)

rocblas_status rocblas_drotg_strided_batched(rocblas_handle handle, double *a, rocblas_stride stride_a, double *b, rocblas_stride stride_b, double *c, rocblas_stride stride_c, double *s, rocblas_stride stride_s, rocblas_int batch_count)

rocblas_status rocblas_crotg_strided_batched(rocblas_handle handle, rocblas_float_complex *a, rocblas_stride stride_a, rocblas_float_complex *b, rocblas_stride stride_b, float *c, rocblas_stride stride_c, rocblas_float_complex *s, rocblas_stride stride_s, rocblas_int batch_count)

rocblas_status rocblas_zrotg_strided_batched(rocblas_handle handle, rocblas_double_complex *a, rocblas_stride stride_a, rocblas_double_complex *b, rocblas_stride stride_b, double *c, rocblas_stride stride_c, rocblas_double_complex *s, rocblas_stride stride_s, rocblas_int batch_count)

BLAS Level 1 API

rotg_strided_batched creates the Givens rotation matrix for the strided batched vectors (a_i b_i), for i = 1, …, batch_count. a, b, c, and s are host pointers to arrays a, b, c, s on the device.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
a – [inout] host pointer to first single input vector element a_1 on the device, overwritten with r.
stride_a – [in] [rocblas_stride] distance between elements of a in batch (distance between a_i and a_(i + 1)).
b – [inout] host pointer to first single input vector element b_1 on the device, overwritten with z.
stride_b – [in] [rocblas_stride] distance between elements of b in batch (distance between b_i and b_(i + 1)).
c – [out] host pointer to first single cosine element of Givens rotations c_1 on the device.
stride_c – [in] [rocblas_stride] distance between elements of c in batch (distance between c_i and c_(i + 1)).
s – [out] host pointer to first single sine element of Givens rotations s_1 on the device.
stride_s – [in] [rocblas_stride] distance between elements of s in batch (distance between s_i and s_(i + 1)).
batch_count – [in] [rocblas_int] number of batches (length of arrays a, b, c, and s).

The rotg_strided_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_Xrotm + batched, strided_batched#

rocblas_status rocblas_srotm(rocblas_handle handle, rocblas_int n, float *x, rocblas_int incx, float *y, rocblas_int incy, const float *param)

rocblas_status rocblas_drotm(rocblas_handle handle, rocblas_int n, double *x, rocblas_int incx, double *y, rocblas_int incy, const double *param)

BLAS Level 1 API

rotm applies the modified Givens rotation matrix defined by param to vectors x and y.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in the x and y vectors.
x – [inout] device pointer storing vector x.
incx – [in] [rocblas_int] specifies the increment between elements of x.
y – [inout] device pointer storing vector y.
incy – [in] [rocblas_int] specifies the increment between elements of y.

param – [in] device vector or host vector of 5 elements defining the rotation.

param[0] = flag
param[1] = H11
param[2] = H21
param[3] = H12
param[4] = H22

The flag parameter defines the form of H:

flag = -1 => H = ( H11 H12 H21 H22 )
flag =  0 => H = ( 1.0 H12 H21 1.0 )
flag =  1 => H = ( H11 1.0 -1.0 H22 )
flag = -2 => H = ( 1.0 0.0 0.0 1.0 )

param may be stored in either host or device memory,
location is specified by calling rocblas_set_pointer_mode.

The rotm functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_srotm_batched(rocblas_handle handle, rocblas_int n, float *const x[], rocblas_int incx, float *const y[], rocblas_int incy, const float *const param[], rocblas_int batch_count)

rocblas_status rocblas_drotm_batched(rocblas_handle handle, rocblas_int n, double *const x[], rocblas_int incx, double *const y[], rocblas_int incy, const double *const param[], rocblas_int batch_count)

BLAS Level 1 API

rotm_batched applies the modified Givens rotation matrix defined by param_i to batched vectors x_i and y_i, for i = 1, …, batch_count.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in the x and y vectors.
x – [inout] device array of device pointers storing each vector x_i.
incx – [in] [rocblas_int] specifies the increment between elements of each x_i.
y – [inout] device array of device pointers storing each vector y_1.
incy – [in] [rocblas_int] specifies the increment between elements of each y_i.

param – [in] device array of device vectors of 5 elements defining the rotation.

param[0] = flag
param[1] = H11
param[2] = H21
param[3] = H12
param[4] = H22

The flag parameter defines the form of H:

flag = -1 => H = ( H11 H12 H21 H22 )
flag =  0 => H = ( 1.0 H12 H21 1.0 )
flag =  1 => H = ( H11 1.0 -1.0 H22 )
flag = -2 => H = ( 1.0 0.0 0.0 1.0 )

param may ONLY be stored on the device for the batched version of this function.

batch_count – [in] [rocblas_int] the number of x and y arrays, i.e. the number of batches.

The rotm_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_srotm_strided_batched(rocblas_handle handle, rocblas_int n, float *x, rocblas_int incx, rocblas_stride stride_x, float *y, rocblas_int incy, rocblas_stride stride_y, const float *param, rocblas_stride stride_param, rocblas_int batch_count)

rocblas_status rocblas_drotm_strided_batched(rocblas_handle handle, rocblas_int n, double *x, rocblas_int incx, rocblas_stride stride_x, double *y, rocblas_int incy, rocblas_stride stride_y, const double *param, rocblas_stride stride_param, rocblas_int batch_count)

BLAS Level 1 API

rotm_strided_batched applies the modified Givens rotation matrix defined by param_i to strided batched vectors x_i and y_i, for i = 1, …, batch_count

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] number of elements in the x and y vectors.
x – [inout] device pointer pointing to first strided batched vector x_1.
incx – [in] [rocblas_int] specifies the increment between elements of each x_i.
stride_x – [in] [rocblas_stride] specifies the increment between the beginning of x_i and x_(i + 1)
y – [inout] device pointer pointing to first strided batched vector y_1.
incy – [in] [rocblas_int] specifies the increment between elements of each y_i.
stride_y – [in] [rocblas_stride] specifies the increment between the beginning of y_i and y_(i + 1).

param – [in] device pointer pointing to first array of 5 elements defining the rotation (param_1).

param[0] = flag
param[1] = H11
param[2] = H21
param[3] = H12
param[4] = H22

The flag parameter defines the form of H:

flag = -1 => H = ( H11 H12 H21 H22 )
flag =  0 => H = ( 1.0 H12 H21 1.0 )
flag =  1 => H = ( H11 1.0 -1.0 H22 )
flag = -2 => H = ( 1.0 0.0 0.0 1.0 )

param may ONLY be stored on the device for the strided_batched
version of this function.

stride_param – [in] [rocblas_stride] specifies the increment between the beginning of param_i and param_(i + 1).
batch_count – [in] [rocblas_int] the number of x and y arrays, i.e. the number of batches.

The rotm_strided_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_Xrotmg + batched, strided_batched#

rocblas_status rocblas_srotmg(rocblas_handle handle, float *d1, float *d2, float *x1, const float *y1, float *param)

rocblas_status rocblas_drotmg(rocblas_handle handle, double *d1, double *d2, double *x1, const double *y1, double *param)

BLAS Level 1 API

rotmg creates the modified Givens rotation matrix for the vector (d1 * x1, d2 * y1). Parameters may be stored in either host or device memory. Location is specified by calling rocblas_set_pointer_mode:

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
d1 – [inout] device pointer or host pointer to input scalar that is overwritten.
d2 – [inout] device pointer or host pointer to input scalar that is overwritten.
x1 – [inout] device pointer or host pointer to input scalar that is overwritten.
y1 – [in] device pointer or host pointer to input scalar.

param – [out] device vector or host vector of five elements defining the rotation.

param[0] = flag
param[1] = H11
param[2] = H21
param[3] = H12
param[4] = H22

The flag parameter defines the form of H:

flag = -1 => H = ( H11 H12 H21 H22 )
flag =  0 => H = ( 1.0 H12 H21 1.0 )
flag =  1 => H = ( H11 1.0 -1.0 H22 )
flag = -2 => H = ( 1.0 0.0 0.0 1.0 )

param may be stored in either host or device memory.
Location is specified by calling rocblas_set_pointer_mode.

The rotmg functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_srotmg_batched(rocblas_handle handle, float *const d1[], float *const d2[], float *const x1[], const float *const y1[], float *const param[], rocblas_int batch_count)

rocblas_status rocblas_drotmg_batched(rocblas_handle handle, double *const d1[], double *const d2[], double *const x1[], const double *const y1[], double *const param[], rocblas_int batch_count)

BLAS Level 1 API

rotmg_batched creates the modified Givens rotation matrix for the batched vectors (d1_i * x1_i, d2_i * y1_i), for i = 1, …, batch_count. Parameters may be stored in either host or device memory. Location is specified by calling rocblas_set_pointer_mode:

If the pointer mode is set to rocblas_pointer_mode_host, then this function blocks the CPU until the GPU has finished and the results are available in host memory.
If the pointer mode is set to rocblas_pointer_mode_device, then this function returns immediately and synchronization is required to read the results.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
d1 – [inout] device batched array or host batched array of input scalars that is overwritten.
d2 – [inout] device batched array or host batched array of input scalars that is overwritten.
x1 – [inout] device batched array or host batched array of input scalars that is overwritten.
y1 – [in] device batched array or host batched array of input scalars.

param – [out] device batched array or host batched array of vectors of 5 elements defining the rotation.

param[0] = flag
param[1] = H11
param[2] = H21
param[3] = H12
param[4] = H22

The flag parameter defines the form of H:

flag = -1 => H = ( H11 H12 H21 H22 )
flag =  0 => H = ( 1.0 H12 H21 1.0 )
flag =  1 => H = ( H11 1.0 -1.0 H22 )
flag = -2 => H = ( 1.0 0.0 0.0 1.0 )

param may be stored in either host or device memory.
Location is specified by calling rocblas_set_pointer_mode.

batch_count – [in] [rocblas_int] the number of instances in the batch.

The rotmg_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_srotmg_strided_batched(rocblas_handle handle, float *d1, rocblas_stride stride_d1, float *d2, rocblas_stride stride_d2, float *x1, rocblas_stride stride_x1, const float *y1, rocblas_stride stride_y1, float *param, rocblas_stride stride_param, rocblas_int batch_count)

rocblas_status rocblas_drotmg_strided_batched(rocblas_handle handle, double *d1, rocblas_stride stride_d1, double *d2, rocblas_stride stride_d2, double *x1, rocblas_stride stride_x1, const double *y1, rocblas_stride stride_y1, double *param, rocblas_stride stride_param, rocblas_int batch_count)

BLAS Level 1 API

rotmg_strided_batched creates the modified Givens rotation matrix for the strided batched vectors (d1_i * x1_i, d2_i * y1_i), for i = 1, …, batch_count. Parameters may be stored in either host or device memory. Location is specified by calling rocblas_set_pointer_mode:

If the pointer mode is set to rocblas_pointer_mode_host, then this function blocks the CPU until the GPU has finished and the results are available in host memory.
If the pointer mode is set to rocblas_pointer_mode_device, then this function returns immediately and synchronization is required to read the results.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
d1 – [inout] device strided_batched array or host strided_batched array of input scalars that is overwritten.
stride_d1 – [in] [rocblas_stride] specifies the increment between the beginning of d1_i and d1_(i+1).
d2 – [inout] device strided_batched array or host strided_batched array of input scalars that is overwritten.
stride_d2 – [in] [rocblas_stride] specifies the increment between the beginning of d2_i and d2_(i+1).
x1 – [inout] device strided_batched array or host strided_batched array of input scalars that is overwritten.
stride_x1 – [in] [rocblas_stride] specifies the increment between the beginning of x1_i and x1_(i+1).
y1 – [in] device strided_batched array or host strided_batched array of input scalars.
stride_y1 – [in] [rocblas_stride] specifies the increment between the beginning of y1_i and y1_(i+1).

param – [out] device strided_batched array or host strided_batched array of vectors of 5 elements defining the rotation.

param[0] = flag
param[1] = H11
param[2] = H21
param[3] = H12
param[4] = H22
The flag parameter defines the form of H:

flag = -1 => H = ( H11 H12 H21 H22 )
flag =  0 => H = ( 1.0 H12 H21 1.0 )
flag =  1 => H = ( H11 1.0 -1.0 H22 )
flag = -2 => H = ( 1.0 0.0 0.0 1.0 )

param may be stored in either host or device memory.
Location is specified by calling rocblas_set_pointer_mode.

stride_param – [in] [rocblas_stride] specifies the increment between the beginning of param_i and param_(i + 1).
batch_count – [in] [rocblas_int] the number of instances in the batch.

The rotmg_strided_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_Xscal + batched, strided_batched#

rocblas_status rocblas_sscal(rocblas_handle handle, rocblas_int n, const float *alpha, float *x, rocblas_int incx)

rocblas_status rocblas_dscal(rocblas_handle handle, rocblas_int n, const double *alpha, double *x, rocblas_int incx)

rocblas_status rocblas_cscal(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *alpha, rocblas_float_complex *x, rocblas_int incx)

rocblas_status rocblas_zscal(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *alpha, rocblas_double_complex *x, rocblas_int incx)

rocblas_status rocblas_csscal(rocblas_handle handle, rocblas_int n, const float *alpha, rocblas_float_complex *x, rocblas_int incx)

rocblas_status rocblas_zdscal(rocblas_handle handle, rocblas_int n, const double *alpha, rocblas_double_complex *x, rocblas_int incx)

BLAS Level 1 API

scal scales each element of vector x with scalar alpha:

x := alpha * x

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in x.
alpha – [in] device pointer or host pointer for the scalar alpha.
x – [inout] device pointer storing vector x.
incx – [in] [rocblas_int] specifies the increment for the elements of x.

The scal functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_sscal_batched(rocblas_handle handle, rocblas_int n, const float *alpha, float *const x[], rocblas_int incx, rocblas_int batch_count)

rocblas_status rocblas_dscal_batched(rocblas_handle handle, rocblas_int n, const double *alpha, double *const x[], rocblas_int incx, rocblas_int batch_count)

rocblas_status rocblas_cscal_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *alpha, rocblas_float_complex *const x[], rocblas_int incx, rocblas_int batch_count)

rocblas_status rocblas_zscal_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *alpha, rocblas_double_complex *const x[], rocblas_int incx, rocblas_int batch_count)

rocblas_status rocblas_csscal_batched(rocblas_handle handle, rocblas_int n, const float *alpha, rocblas_float_complex *const x[], rocblas_int incx, rocblas_int batch_count)

rocblas_status rocblas_zdscal_batched(rocblas_handle handle, rocblas_int n, const double *alpha, rocblas_double_complex *const x[], rocblas_int incx, rocblas_int batch_count)

BLAS Level 1 API

scal_batched scales each element of vector x_i with scalar alpha, for i = 1, … , batch_count:

x_i := alpha * x_i,
where (x_i) is the i-th instance of the batch.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in each x_i.
alpha – [in] host pointer or device pointer for the scalar alpha.
x – [inout] device array of device pointers storing each vector x_i.
incx – [in] [rocblas_int] specifies the increment for the elements of each x_i.
batch_count – [in] [rocblas_int] specifies the number of batches in x.

The scal_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_sscal_strided_batched(rocblas_handle handle, rocblas_int n, const float *alpha, float *x, rocblas_int incx, rocblas_stride stride_x, rocblas_int batch_count)

rocblas_status rocblas_dscal_strided_batched(rocblas_handle handle, rocblas_int n, const double *alpha, double *x, rocblas_int incx, rocblas_stride stride_x, rocblas_int batch_count)

rocblas_status rocblas_cscal_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_float_complex *alpha, rocblas_float_complex *x, rocblas_int incx, rocblas_stride stride_x, rocblas_int batch_count)

rocblas_status rocblas_zscal_strided_batched(rocblas_handle handle, rocblas_int n, const rocblas_double_complex *alpha, rocblas_double_complex *x, rocblas_int incx, rocblas_stride stride_x, rocblas_int batch_count)

rocblas_status rocblas_csscal_strided_batched(rocblas_handle handle, rocblas_int n, const float *alpha, rocblas_float_complex *x, rocblas_int incx, rocblas_stride stride_x, rocblas_int batch_count)

rocblas_status rocblas_zdscal_strided_batched(rocblas_handle handle, rocblas_int n, const double *alpha, rocblas_double_complex *x, rocblas_int incx, rocblas_stride stride_x, rocblas_int batch_count)

BLAS Level 1 API

scal_strided_batched scales each element of vector x_i with scalar alpha, for i = 1, … , batch_count:

x_i := alpha * x_i,
where (x_i) is the i-th instance of the batch.

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in each x_i.
alpha – [in] host pointer or device pointer for the scalar alpha.
x – [inout] device pointer to the first vector (x_1) in the batch.
incx – [in] [rocblas_int] specifies the increment for the elements of x.
stride_x – [in] [rocblas_stride] stride from the start of one vector (x_i) and the next one (x_i+1). There are no restrictions placed on stride_x. However, ensure that stride_x is of appropriate size, for a typical case this means stride_x >= n * incx.
batch_count – [in] [rocblas_int] specifies the number of batches in x.

The scal_strided_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_Xswap + batched, strided_batched#

rocblas_status rocblas_sswap(rocblas_handle handle, rocblas_int n, float *x, rocblas_int incx, float *y, rocblas_int incy)

rocblas_status rocblas_dswap(rocblas_handle handle, rocblas_int n, double *x, rocblas_int incx, double *y, rocblas_int incy)

rocblas_status rocblas_cswap(rocblas_handle handle, rocblas_int n, rocblas_float_complex *x, rocblas_int incx, rocblas_float_complex *y, rocblas_int incy)

rocblas_status rocblas_zswap(rocblas_handle handle, rocblas_int n, rocblas_double_complex *x, rocblas_int incx, rocblas_double_complex *y, rocblas_int incy)

BLAS Level 1 API

swap interchanges vectors x and y:

y := x;
x := y

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in x and y.
x – [inout] device pointer storing vector x.
incx – [in] [rocblas_int] specifies the increment for the elements of x.
y – [inout] device pointer storing vector y.
incy – [in] [rocblas_int] specifies the increment for the elements of y.

The swap functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_sswap_batched(rocblas_handle handle, rocblas_int n, float *const x[], rocblas_int incx, float *const y[], rocblas_int incy, rocblas_int batch_count)

rocblas_status rocblas_dswap_batched(rocblas_handle handle, rocblas_int n, double *const x[], rocblas_int incx, double *const y[], rocblas_int incy, rocblas_int batch_count)

rocblas_status rocblas_cswap_batched(rocblas_handle handle, rocblas_int n, rocblas_float_complex *const x[], rocblas_int incx, rocblas_float_complex *const y[], rocblas_int incy, rocblas_int batch_count)

rocblas_status rocblas_zswap_batched(rocblas_handle handle, rocblas_int n, rocblas_double_complex *const x[], rocblas_int incx, rocblas_double_complex *const y[], rocblas_int incy, rocblas_int batch_count)

BLAS Level 1 API

swap_batched interchanges vectors x_i and y_i, for i = 1 , … , batch_count:

y_i := x_i;
x_i := y_i

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in each x_i and y_i.
x – [inout] device array of device pointers storing each vector x_i.
incx – [in] [rocblas_int] specifies the increment for the elements of each x_i.
y – [inout] device array of device pointers storing each vector y_i.
incy – [in] [rocblas_int] specifies the increment for the elements of each y_i.
batch_count – [in] [rocblas_int] number of instances in the batch.

The swap_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocblas_status rocblas_sswap_strided_batched(rocblas_handle handle, rocblas_int n, float *x, rocblas_int incx, rocblas_stride stridex, float *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count)

rocblas_status rocblas_dswap_strided_batched(rocblas_handle handle, rocblas_int n, double *x, rocblas_int incx, rocblas_stride stridex, double *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count)

rocblas_status rocblas_cswap_strided_batched(rocblas_handle handle, rocblas_int n, rocblas_float_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_float_complex *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count)

rocblas_status rocblas_zswap_strided_batched(rocblas_handle handle, rocblas_int n, rocblas_double_complex *x, rocblas_int incx, rocblas_stride stridex, rocblas_double_complex *y, rocblas_int incy, rocblas_stride stridey, rocblas_int batch_count)

BLAS Level 1 API

swap_strided_batched interchanges vectors x_i and y_i, for i = 1 , … , batch_count:

y_i := x_i;
x_i := y_i

Parameters:

handle – [in] [rocblas_handle] handle to the rocblas library context queue.
n – [in] [rocblas_int] the number of elements in each x_i and y_i.
x – [inout] device pointer to the first vector x_1.
incx – [in] [rocblas_int] specifies the increment for the elements of x.
stridex – [in] [rocblas_stride] stride from the start of one vector (x_i) and the next one (x_i+1). There are no restrictions placed on stride_x. However, ensure that stride_x is of appropriate size. For a typical case this means stride_x >= n * incx.
y – [inout] device pointer to the first vector y_1.
incy – [in] [rocblas_int] specifies the increment for the elements of y.
stridey – [in] [rocblas_stride] stride from the start of one vector (y_i) and the next one (y_i+1). There are no restrictions placed on stride_x. However, ensure that stride_y is of appropriate size. For a typical case this means stride_y >= n * incy. stridey should be non zero.
batch_count – [in] [rocblas_int] number of instances in the batch.

The swap_strided_batched functions support the _64 interface. Refer to section ILP64 Interface.

rocBLAS Level-1 Functions

Contents

rocBLAS Level-1 Functions#

rocblas_iXamax + batched, strided_batched#

rocblas_iXamin + batched, strided_batched#

rocblas_Xasum + batched, strided_batched#

rocblas_Xaxpy + batched, strided_batched#

rocblas_Xcopy + batched, strided_batched#

rocblas_Xdot + batched, strided_batched#

rocblas_Xnrm2 + batched, strided_batched#

rocblas_Xrot + batched, strided_batched#

rocblas_Xrotg + batched, strided_batched#

rocblas_Xrotm + batched, strided_batched#

rocblas_Xrotmg + batched, strided_batched#

rocblas_Xscal + batched, strided_batched#

rocblas_Xswap + batched, strided_batched#