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diff --git a/doc/clblast.md b/doc/clblast.md index 9c9b9a6f..5105d023 100644 --- a/doc/clblast.md +++ b/doc/clblast.md @@ -5,7 +5,7 @@ CLBlast: API reference xSWAP: Swap two vectors ------------- -Interchanges the contents of vectors x and y. +Interchanges _n_ elements of vectors _x_ and _y_. C++ API: ``` @@ -34,17 +34,21 @@ StatusCode CLBlastZswap(const size_t n, cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHswap(const size_t n, + cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_mem y_buffer, const size_t y_offset, const size_t y_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to SWAP: -* `const size_t n`: Integer size argument. +* `const size_t n`: Integer size argument. This value must be positive. * `cl_mem x_buffer`: OpenCL buffer to store the output x vector. * `const size_t x_offset`: The offset in elements from the start of the output x vector. -* `const size_t x_inc`: Stride/increment of the output x vector. +* `const size_t x_inc`: Stride/increment of the output x vector. This value must be greater than 0. * `cl_mem y_buffer`: OpenCL buffer to store the output y vector. * `const size_t y_offset`: The offset in elements from the start of the output y vector. -* `const size_t y_inc`: Stride/increment of the output y vector. +* `const size_t y_inc`: Stride/increment of the output y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -53,7 +57,7 @@ Arguments to SWAP: xSCAL: Vector scaling ------------- -Multiplies all elements of vector x by a scalar constant alpha. +Multiplies _n_ elements of vector _x_ by a scalar constant _alpha_. C++ API: ``` @@ -82,15 +86,19 @@ StatusCode CLBlastZscal(const size_t n, const cl_double2 alpha, cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHscal(const size_t n, + const cl_half alpha, + cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to SCAL: -* `const size_t n`: Integer size argument. +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `cl_mem x_buffer`: OpenCL buffer to store the output x vector. * `const size_t x_offset`: The offset in elements from the start of the output x vector. -* `const size_t x_inc`: Stride/increment of the output x vector. +* `const size_t x_inc`: Stride/increment of the output x vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -99,7 +107,7 @@ Arguments to SCAL: xCOPY: Vector copy ------------- -Copies the contents of vector x into vector y. +Copies the contents of vector _x_ into vector _y_. C++ API: ``` @@ -128,17 +136,21 @@ StatusCode CLBlastZcopy(const size_t n, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHcopy(const size_t n, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_mem y_buffer, const size_t y_offset, const size_t y_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to COPY: -* `const size_t n`: Integer size argument. +* `const size_t n`: Integer size argument. This value must be positive. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `cl_mem y_buffer`: OpenCL buffer to store the output y vector. * `const size_t y_offset`: The offset in elements from the start of the output y vector. -* `const size_t y_inc`: Stride/increment of the output y vector. +* `const size_t y_inc`: Stride/increment of the output y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -147,7 +159,7 @@ Arguments to COPY: xAXPY: Vector-times-constant plus vector ------------- -Performs the operation y = alpha * x + y, in which x and y are vectors and alpha is a scalar constant. +Performs the operation _y = alpha * x + y_, in which _x_ and _y_ are vectors and _alpha_ is a scalar constant. C++ API: ``` @@ -181,18 +193,23 @@ StatusCode CLBlastZaxpy(const size_t n, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHaxpy(const size_t n, + const cl_half alpha, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_mem y_buffer, const size_t y_offset, const size_t y_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to AXPY: -* `const size_t n`: Integer size argument. +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `cl_mem y_buffer`: OpenCL buffer to store the output y vector. * `const size_t y_offset`: The offset in elements from the start of the output y vector. -* `const size_t y_inc`: Stride/increment of the output y vector. +* `const size_t y_inc`: Stride/increment of the output y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -201,7 +218,7 @@ Arguments to AXPY: xDOT: Dot product of two vectors ------------- -Multiplies the vectors x and y element-wise and accumulates the results. The sum is stored in the dot buffer. +Multiplies _n_ elements of the vectors _x_ and _y_ element-wise and accumulates the results. The sum is stored in the _dot_ buffer. C++ API: ``` @@ -225,21 +242,26 @@ StatusCode CLBlastDdot(const size_t n, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, const cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHdot(const size_t n, + cl_mem dot_buffer, const size_t dot_offset, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + const cl_mem y_buffer, const size_t y_offset, const size_t y_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to DOT: -* `const size_t n`: Integer size argument. +* `const size_t n`: Integer size argument. This value must be positive. * `cl_mem dot_buffer`: OpenCL buffer to store the output dot vector. * `const size_t dot_offset`: The offset in elements from the start of the output dot vector. * `cl_mem dot_buffer`: OpenCL buffer to store the output dot vector. * `const size_t dot_offset`: The offset in elements from the start of the output dot vector. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const cl_mem y_buffer`: OpenCL buffer to store the input y vector. * `const size_t y_offset`: The offset in elements from the start of the input y vector. -* `const size_t y_inc`: Stride/increment of the input y vector. +* `const size_t y_inc`: Stride/increment of the input y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -276,17 +298,17 @@ StatusCode CLBlastZdotu(const size_t n, Arguments to DOTU: -* `const size_t n`: Integer size argument. +* `const size_t n`: Integer size argument. This value must be positive. * `cl_mem dot_buffer`: OpenCL buffer to store the output dot vector. * `const size_t dot_offset`: The offset in elements from the start of the output dot vector. * `cl_mem dot_buffer`: OpenCL buffer to store the output dot vector. * `const size_t dot_offset`: The offset in elements from the start of the output dot vector. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const cl_mem y_buffer`: OpenCL buffer to store the input y vector. * `const size_t y_offset`: The offset in elements from the start of the input y vector. -* `const size_t y_inc`: Stride/increment of the input y vector. +* `const size_t y_inc`: Stride/increment of the input y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -323,17 +345,17 @@ StatusCode CLBlastZdotc(const size_t n, Arguments to DOTC: -* `const size_t n`: Integer size argument. +* `const size_t n`: Integer size argument. This value must be positive. * `cl_mem dot_buffer`: OpenCL buffer to store the output dot vector. * `const size_t dot_offset`: The offset in elements from the start of the output dot vector. * `cl_mem dot_buffer`: OpenCL buffer to store the output dot vector. * `const size_t dot_offset`: The offset in elements from the start of the output dot vector. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const cl_mem y_buffer`: OpenCL buffer to store the input y vector. * `const size_t y_offset`: The offset in elements from the start of the input y vector. -* `const size_t y_inc`: Stride/increment of the input y vector. +* `const size_t y_inc`: Stride/increment of the input y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -342,7 +364,7 @@ Arguments to DOTC: xNRM2: Euclidian norm of a vector ------------- -Accumulates the square of each element in the x vector and takes the square root. The resulting L2 norm is stored in the nrm2 buffer. +Accumulates the square of _n_ elements in the _x_ vector and takes the square root. The resulting L2 norm is stored in the _nrm2_ buffer. C++ API: ``` @@ -371,18 +393,22 @@ StatusCode CLBlastDznrm2(const size_t n, cl_mem nrm2_buffer, const size_t nrm2_offset, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHnrm2(const size_t n, + cl_mem nrm2_buffer, const size_t nrm2_offset, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to NRM2: -* `const size_t n`: Integer size argument. +* `const size_t n`: Integer size argument. This value must be positive. * `cl_mem nrm2_buffer`: OpenCL buffer to store the output nrm2 vector. * `const size_t nrm2_offset`: The offset in elements from the start of the output nrm2 vector. * `cl_mem nrm2_buffer`: OpenCL buffer to store the output nrm2 vector. * `const size_t nrm2_offset`: The offset in elements from the start of the output nrm2 vector. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -391,7 +417,7 @@ Arguments to NRM2: xASUM: Absolute sum of values in a vector ------------- -Accumulates the absolute value of each element in the x vector. The results are stored in the asum buffer. +Accumulates the absolute value of _n_ elements in the _x_ vector. The results are stored in the _asum_ buffer. C++ API: ``` @@ -420,18 +446,22 @@ StatusCode CLBlastDzasum(const size_t n, cl_mem asum_buffer, const size_t asum_offset, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHasum(const size_t n, + cl_mem asum_buffer, const size_t asum_offset, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to ASUM: -* `const size_t n`: Integer size argument. +* `const size_t n`: Integer size argument. This value must be positive. * `cl_mem asum_buffer`: OpenCL buffer to store the output asum vector. * `const size_t asum_offset`: The offset in elements from the start of the output asum vector. * `cl_mem asum_buffer`: OpenCL buffer to store the output asum vector. * `const size_t asum_offset`: The offset in elements from the start of the output asum vector. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -440,7 +470,7 @@ Arguments to ASUM: xSUM: Sum of values in a vector (non-BLAS function) ------------- -Accumulates the values of each element in the x vector. The results are stored in the sum buffer. This routine is the non-absolute version of the xASUM BLAS routine. +Accumulates the values of _n_ elements in the _x_ vector. The results are stored in the _sum_ buffer. This routine is the non-absolute version of the xASUM BLAS routine. C++ API: ``` @@ -469,18 +499,22 @@ StatusCode CLBlastDzsum(const size_t n, cl_mem sum_buffer, const size_t sum_offset, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHsum(const size_t n, + cl_mem sum_buffer, const size_t sum_offset, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to SUM: -* `const size_t n`: Integer size argument. +* `const size_t n`: Integer size argument. This value must be positive. * `cl_mem sum_buffer`: OpenCL buffer to store the output sum vector. * `const size_t sum_offset`: The offset in elements from the start of the output sum vector. * `cl_mem sum_buffer`: OpenCL buffer to store the output sum vector. * `const size_t sum_offset`: The offset in elements from the start of the output sum vector. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -489,7 +523,7 @@ Arguments to SUM: xAMAX: Index of absolute maximum value in a vector ------------- -Finds the index of the maximum of the absolute values in the x vector. The resulting integer index is stored in the imax buffer. +Finds the index of the maximum of the absolute values in the _x_ vector. The resulting integer index is stored in the _imax_ buffer. C++ API: ``` @@ -518,18 +552,22 @@ StatusCode CLBlastiZamax(const size_t n, cl_mem imax_buffer, const size_t imax_offset, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastiHamax(const size_t n, + cl_mem imax_buffer, const size_t imax_offset, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to AMAX: -* `const size_t n`: Integer size argument. +* `const size_t n`: Integer size argument. This value must be positive. * `cl_mem imax_buffer`: OpenCL buffer to store the output imax vector. * `const size_t imax_offset`: The offset in elements from the start of the output imax vector. * `cl_mem imax_buffer`: OpenCL buffer to store the output imax vector. * `const size_t imax_offset`: The offset in elements from the start of the output imax vector. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -538,7 +576,7 @@ Arguments to AMAX: xMAX: Index of maximum value in a vector (non-BLAS function) ------------- -Finds the index of the maximum of the values in the x vector. The resulting integer index is stored in the imax buffer. This routine is the non-absolute version of the IxAMAX BLAS routine. +Finds the index of the maximum of the values in the _x_ vector. The resulting integer index is stored in the _imax_ buffer. This routine is the non-absolute version of the IxAMAX BLAS routine. C++ API: ``` @@ -567,18 +605,22 @@ StatusCode CLBlastiZmax(const size_t n, cl_mem imax_buffer, const size_t imax_offset, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastiHmax(const size_t n, + cl_mem imax_buffer, const size_t imax_offset, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to MAX: -* `const size_t n`: Integer size argument. +* `const size_t n`: Integer size argument. This value must be positive. * `cl_mem imax_buffer`: OpenCL buffer to store the output imax vector. * `const size_t imax_offset`: The offset in elements from the start of the output imax vector. * `cl_mem imax_buffer`: OpenCL buffer to store the output imax vector. * `const size_t imax_offset`: The offset in elements from the start of the output imax vector. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -587,7 +629,7 @@ Arguments to MAX: xMIN: Index of minimum value in a vector (non-BLAS function) ------------- -Finds the index of the minimum of the values in the x vector. The resulting integer index is stored in the imin buffer. This routine is the non-absolute minimum version of the IxAMAX BLAS routine. +Finds the index of the minimum of the values in the _x_ vector. The resulting integer index is stored in the _imin_ buffer. This routine is the non-absolute minimum version of the IxAMAX BLAS routine. C++ API: ``` @@ -616,18 +658,22 @@ StatusCode CLBlastiZmin(const size_t n, cl_mem imin_buffer, const size_t imin_offset, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastiHmin(const size_t n, + cl_mem imin_buffer, const size_t imin_offset, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to MIN: -* `const size_t n`: Integer size argument. +* `const size_t n`: Integer size argument. This value must be positive. * `cl_mem imin_buffer`: OpenCL buffer to store the output imin vector. * `const size_t imin_offset`: The offset in elements from the start of the output imin vector. * `cl_mem imin_buffer`: OpenCL buffer to store the output imin vector. * `const size_t imin_offset`: The offset in elements from the start of the output imin vector. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -636,7 +682,7 @@ Arguments to MIN: xGEMV: General matrix-vector multiplication ------------- -Performs the operation y = alpha * A * x + beta * y, in which x is an input vector, y is an input and output vector, A is an input matrix, and alpha and beta are scalars. The matrix A can optionally be transposed before performing the operation. +Performs the operation _y = alpha * A * x + beta * y_, in which _x_ is an input vector, _y_ is an input and output vector, _A_ is an input matrix, and _alpha_ and _beta_ are scalars. The matrix _A_ can optionally be transposed before performing the operation. C++ API: ``` @@ -685,34 +731,46 @@ StatusCode CLBlastZgemv(const Layout layout, const Transpose a_transpose, const cl_double2 beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHgemv(const Layout layout, const Transpose a_transpose, + const size_t m, const size_t n, + const cl_half alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + const cl_half beta, + cl_mem y_buffer, const size_t y_offset, const size_t y_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to GEMV: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. -* `const size_t m`: Integer size argument. -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Transpose a_transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. +* `const size_t m`: Integer size argument. This value must be positive. +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem y_buffer`: OpenCL buffer to store the output y vector. * `const size_t y_offset`: The offset in elements from the start of the output y vector. -* `const size_t y_inc`: Stride/increment of the output y vector. +* `const size_t y_inc`: Stride/increment of the output y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for GEMV: + +* The value of `a_ld` must be at least `m`. + xGBMV: General banded matrix-vector multiplication ------------- -Same operation as xGEMV, but matrix A is banded instead. +Same operation as xGEMV, but matrix _A_ is banded instead. C++ API: ``` @@ -761,36 +819,48 @@ StatusCode CLBlastZgbmv(const Layout layout, const Transpose a_transpose, const cl_double2 beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHgbmv(const Layout layout, const Transpose a_transpose, + const size_t m, const size_t n, const size_t kl, const size_t ku, + const cl_half alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + const cl_half beta, + cl_mem y_buffer, const size_t y_offset, const size_t y_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to GBMV: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. -* `const size_t m`: Integer size argument. -* `const size_t n`: Integer size argument. -* `const size_t kl`: Integer size argument. -* `const size_t ku`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Transpose a_transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. +* `const size_t m`: Integer size argument. This value must be positive. +* `const size_t n`: Integer size argument. This value must be positive. +* `const size_t kl`: Integer size argument. This value must be positive. +* `const size_t ku`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem y_buffer`: OpenCL buffer to store the output y vector. * `const size_t y_offset`: The offset in elements from the start of the output y vector. -* `const size_t y_inc`: Stride/increment of the output y vector. +* `const size_t y_inc`: Stride/increment of the output y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for GBMV: + +* The value of `a_ld` must be at least `kl + ku + 1`. + xHEMV: Hermitian matrix-vector multiplication ------------- -Same operation as xGEMV, but matrix A is an Hermitian matrix instead. +Same operation as xGEMV, but matrix _A_ is an Hermitian matrix instead. C++ API: ``` @@ -827,29 +897,33 @@ StatusCode CLBlastZhemv(const Layout layout, const Triangle triangle, Arguments to HEMV: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem y_buffer`: OpenCL buffer to store the output y vector. * `const size_t y_offset`: The offset in elements from the start of the output y vector. -* `const size_t y_inc`: Stride/increment of the output y vector. +* `const size_t y_inc`: Stride/increment of the output y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for HEMV: + +* The value of `a_ld` must be at least `n`. + xHBMV: Hermitian banded matrix-vector multiplication ------------- -Same operation as xGEMV, but matrix A is an Hermitian banded matrix instead. +Same operation as xGEMV, but matrix _A_ is an Hermitian banded matrix instead. C++ API: ``` @@ -886,30 +960,34 @@ StatusCode CLBlastZhbmv(const Layout layout, const Triangle triangle, Arguments to HBMV: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. -* `const size_t k`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. +* `const size_t k`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem y_buffer`: OpenCL buffer to store the output y vector. * `const size_t y_offset`: The offset in elements from the start of the output y vector. -* `const size_t y_inc`: Stride/increment of the output y vector. +* `const size_t y_inc`: Stride/increment of the output y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for HBMV: + +* The value of `a_ld` must be at least `k + 1`. + xHPMV: Hermitian packed matrix-vector multiplication ------------- -Same operation as xGEMV, but matrix A is an Hermitian packed matrix instead and represented as AP. +Same operation as xGEMV, but matrix _A_ is an Hermitian packed matrix instead and represented as _AP_. C++ API: ``` @@ -946,19 +1024,19 @@ StatusCode CLBlastZhpmv(const Layout layout, const Triangle triangle, Arguments to HPMV: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem ap_buffer`: OpenCL buffer to store the input AP matrix. * `const size_t ap_offset`: The offset in elements from the start of the input AP matrix. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem y_buffer`: OpenCL buffer to store the output y vector. * `const size_t y_offset`: The offset in elements from the start of the output y vector. -* `const size_t y_inc`: Stride/increment of the output y vector. +* `const size_t y_inc`: Stride/increment of the output y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -967,7 +1045,7 @@ Arguments to HPMV: xSYMV: Symmetric matrix-vector multiplication ------------- -Same operation as xGEMV, but matrix A is symmetric instead. +Same operation as xGEMV, but matrix _A_ is symmetric instead. C++ API: ``` @@ -1000,33 +1078,45 @@ StatusCode CLBlastDsymv(const Layout layout, const Triangle triangle, const double beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHsymv(const Layout layout, const Triangle triangle, + const size_t n, + const cl_half alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + const cl_half beta, + cl_mem y_buffer, const size_t y_offset, const size_t y_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to SYMV: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem y_buffer`: OpenCL buffer to store the output y vector. * `const size_t y_offset`: The offset in elements from the start of the output y vector. -* `const size_t y_inc`: Stride/increment of the output y vector. +* `const size_t y_inc`: Stride/increment of the output y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for SYMV: + +* The value of `a_ld` must be at least `n`. + xSBMV: Symmetric banded matrix-vector multiplication ------------- -Same operation as xGEMV, but matrix A is symmetric and banded instead. +Same operation as xGEMV, but matrix _A_ is symmetric and banded instead. C++ API: ``` @@ -1059,34 +1149,46 @@ StatusCode CLBlastDsbmv(const Layout layout, const Triangle triangle, const double beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHsbmv(const Layout layout, const Triangle triangle, + const size_t n, const size_t k, + const cl_half alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + const cl_half beta, + cl_mem y_buffer, const size_t y_offset, const size_t y_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to SBMV: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. -* `const size_t k`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. +* `const size_t k`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem y_buffer`: OpenCL buffer to store the output y vector. * `const size_t y_offset`: The offset in elements from the start of the output y vector. -* `const size_t y_inc`: Stride/increment of the output y vector. +* `const size_t y_inc`: Stride/increment of the output y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for SBMV: + +* The value of `a_ld` must be at least `k + 1`. + xSPMV: Symmetric packed matrix-vector multiplication ------------- -Same operation as xGEMV, but matrix A is a symmetric packed matrix instead and represented as AP. +Same operation as xGEMV, but matrix _A_ is a symmetric packed matrix instead and represented as _AP_. C++ API: ``` @@ -1119,23 +1221,31 @@ StatusCode CLBlastDspmv(const Layout layout, const Triangle triangle, const double beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHspmv(const Layout layout, const Triangle triangle, + const size_t n, + const cl_half alpha, + const cl_mem ap_buffer, const size_t ap_offset, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + const cl_half beta, + cl_mem y_buffer, const size_t y_offset, const size_t y_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to SPMV: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem ap_buffer`: OpenCL buffer to store the input AP matrix. * `const size_t ap_offset`: The offset in elements from the start of the input AP matrix. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem y_buffer`: OpenCL buffer to store the output y vector. * `const size_t y_offset`: The offset in elements from the start of the output y vector. -* `const size_t y_inc`: Stride/increment of the output y vector. +* `const size_t y_inc`: Stride/increment of the output y vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -1144,7 +1254,7 @@ Arguments to SPMV: xTRMV: Triangular matrix-vector multiplication ------------- -Same operation as xGEMV, but matrix A is triangular instead. +Same operation as xGEMV, but matrix _A_ is triangular instead. C++ API: ``` @@ -1178,30 +1288,39 @@ StatusCode CLBlastZtrmv(const Layout layout, const Triangle triangle, const Tran const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHtrmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal, + const size_t n, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to TRMV: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const Transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. -* `const Diagonal`: The property of the diagonal matrix, either `Diagonal::kNonUnit` (131) for a non-unit values on the diagonal or `Diagonal::kUnit` (132) for a unit values on the diagonal. -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const Transpose a_transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. +* `const Diagonal diagonal`: The property of the diagonal matrix, either `Diagonal::kNonUnit` (131) for non-unit values on the diagonal or `Diagonal::kUnit` (132) for unit values on the diagonal. +* `const size_t n`: Integer size argument. This value must be positive. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `cl_mem x_buffer`: OpenCL buffer to store the output x vector. * `const size_t x_offset`: The offset in elements from the start of the output x vector. -* `const size_t x_inc`: Stride/increment of the output x vector. +* `const size_t x_inc`: Stride/increment of the output x vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for TRMV: + +* The value of `a_ld` must be at least `n`. + xTBMV: Triangular banded matrix-vector multiplication ------------- -Same operation as xGEMV, but matrix A is triangular and banded instead. +Same operation as xGEMV, but matrix _A_ is triangular and banded instead. C++ API: ``` @@ -1235,31 +1354,40 @@ StatusCode CLBlastZtbmv(const Layout layout, const Triangle triangle, const Tran const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHtbmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal, + const size_t n, const size_t k, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to TBMV: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const Transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. -* `const Diagonal`: The property of the diagonal matrix, either `Diagonal::kNonUnit` (131) for a non-unit values on the diagonal or `Diagonal::kUnit` (132) for a unit values on the diagonal. -* `const size_t n`: Integer size argument. -* `const size_t k`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const Transpose a_transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. +* `const Diagonal diagonal`: The property of the diagonal matrix, either `Diagonal::kNonUnit` (131) for non-unit values on the diagonal or `Diagonal::kUnit` (132) for unit values on the diagonal. +* `const size_t n`: Integer size argument. This value must be positive. +* `const size_t k`: Integer size argument. This value must be positive. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `cl_mem x_buffer`: OpenCL buffer to store the output x vector. * `const size_t x_offset`: The offset in elements from the start of the output x vector. -* `const size_t x_inc`: Stride/increment of the output x vector. +* `const size_t x_inc`: Stride/increment of the output x vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for TBMV: + +* The value of `a_ld` must be at least `k + 1`. + xTPMV: Triangular packed matrix-vector multiplication ------------- -Same operation as xGEMV, but matrix A is a triangular packed matrix instead and repreented as AP. +Same operation as xGEMV, but matrix _A_ is a triangular packed matrix instead and repreented as _AP_. C++ API: ``` @@ -1293,20 +1421,25 @@ StatusCode CLBlastZtpmv(const Layout layout, const Triangle triangle, const Tran const cl_mem ap_buffer, const size_t ap_offset, cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHtpmv(const Layout layout, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal, + const size_t n, + const cl_mem ap_buffer, const size_t ap_offset, + cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_command_queue* queue, cl_event* event) ``` Arguments to TPMV: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const Transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. -* `const Diagonal`: The property of the diagonal matrix, either `Diagonal::kNonUnit` (131) for a non-unit values on the diagonal or `Diagonal::kUnit` (132) for a unit values on the diagonal. -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const Transpose a_transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. +* `const Diagonal diagonal`: The property of the diagonal matrix, either `Diagonal::kNonUnit` (131) for non-unit values on the diagonal or `Diagonal::kUnit` (132) for unit values on the diagonal. +* `const size_t n`: Integer size argument. This value must be positive. * `const cl_mem ap_buffer`: OpenCL buffer to store the input AP matrix. * `const size_t ap_offset`: The offset in elements from the start of the input AP matrix. * `cl_mem x_buffer`: OpenCL buffer to store the output x vector. * `const size_t x_offset`: The offset in elements from the start of the output x vector. -* `const size_t x_inc`: Stride/increment of the output x vector. +* `const size_t x_inc`: Stride/increment of the output x vector. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. @@ -1315,7 +1448,7 @@ Arguments to TPMV: xGER: General rank-1 matrix update ------------- - +Performs the operation _A = alpha * x * y^T + A_, in which _x_ is an input vector, _y^T_ is the transpose of the input vector _y_, _A_ is the matrix to be updated, and _alpha_ is a scalar value. C++ API: ``` @@ -1345,32 +1478,43 @@ StatusCode CLBlastDger(const Layout layout, const cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_mem a_buffer, const size_t a_offset, const size_t a_ld, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHger(const Layout layout, + const size_t m, const size_t n, + const cl_half alpha, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + const cl_mem y_buffer, const size_t y_offset, const size_t y_inc, + cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + cl_command_queue* queue, cl_event* event) ``` Arguments to GER: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const size_t m`: Integer size argument. -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const size_t m`: Integer size argument. This value must be positive. +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const cl_mem y_buffer`: OpenCL buffer to store the input y vector. * `const size_t y_offset`: The offset in elements from the start of the input y vector. -* `const size_t y_inc`: Stride/increment of the input y vector. +* `const size_t y_inc`: Stride/increment of the input y vector. This value must be greater than 0. * `cl_mem a_buffer`: OpenCL buffer to store the output A matrix. * `const size_t a_offset`: The offset in elements from the start of the output A matrix. -* `const size_t a_ld`: Leading dimension of the output A matrix. +* `const size_t a_ld`: Leading dimension of the output A matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for GER: + +* The value of `a_ld` must be at least `m`. + xGERU: General rank-1 complex matrix update ------------- - +Same operation as xGER, but with complex data-types. C++ API: ``` @@ -1404,28 +1548,32 @@ StatusCode CLBlastZgeru(const Layout layout, Arguments to GERU: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const size_t m`: Integer size argument. -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const size_t m`: Integer size argument. This value must be positive. +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const cl_mem y_buffer`: OpenCL buffer to store the input y vector. * `const size_t y_offset`: The offset in elements from the start of the input y vector. -* `const size_t y_inc`: Stride/increment of the input y vector. +* `const size_t y_inc`: Stride/increment of the input y vector. This value must be greater than 0. * `cl_mem a_buffer`: OpenCL buffer to store the output A matrix. * `const size_t a_offset`: The offset in elements from the start of the output A matrix. -* `const size_t a_ld`: Leading dimension of the output A matrix. +* `const size_t a_ld`: Leading dimension of the output A matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for GERU: + +* The value of `a_ld` must be at least `m`. + xGERC: General rank-1 complex conjugated matrix update ------------- - +Same operation as xGERU, but the update is done based on the complex conjugate of the input vectors. C++ API: ``` @@ -1459,28 +1607,32 @@ StatusCode CLBlastZgerc(const Layout layout, Arguments to GERC: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const size_t m`: Integer size argument. -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const size_t m`: Integer size argument. This value must be positive. +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const cl_mem y_buffer`: OpenCL buffer to store the input y vector. * `const size_t y_offset`: The offset in elements from the start of the input y vector. -* `const size_t y_inc`: Stride/increment of the input y vector. +* `const size_t y_inc`: Stride/increment of the input y vector. This value must be greater than 0. * `cl_mem a_buffer`: OpenCL buffer to store the output A matrix. * `const size_t a_offset`: The offset in elements from the start of the output A matrix. -* `const size_t a_ld`: Leading dimension of the output A matrix. +* `const size_t a_ld`: Leading dimension of the output A matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for GERC: + +* The value of `a_ld` must be at least `m`. + xHER: Hermitian rank-1 matrix update ------------- - +Performs the operation _A = alpha * x * x^T + A_, in which x is an input vector, x^T is the transpose of this vector, _A_ is the triangular Hermetian matrix to be updated, and alpha is a scalar value. C++ API: ``` @@ -1511,25 +1663,29 @@ StatusCode CLBlastZher(const Layout layout, const Triangle triangle, Arguments to HER: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `cl_mem a_buffer`: OpenCL buffer to store the output A matrix. * `const size_t a_offset`: The offset in elements from the start of the output A matrix. -* `const size_t a_ld`: Leading dimension of the output A matrix. +* `const size_t a_ld`: Leading dimension of the output A matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for HER: + +* The value of `a_ld` must be at least `n`. + xHPR: Hermitian packed rank-1 matrix update ------------- - +Same operation as xHER, but matrix _A_ is an Hermitian packed matrix instead and represented as _AP_. C++ API: ``` @@ -1560,13 +1716,13 @@ StatusCode CLBlastZhpr(const Layout layout, const Triangle triangle, Arguments to HPR: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `cl_mem ap_buffer`: OpenCL buffer to store the output AP matrix. * `const size_t ap_offset`: The offset in elements from the start of the output AP matrix. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. @@ -1577,7 +1733,7 @@ Arguments to HPR: xHER2: Hermitian rank-2 matrix update ------------- - +Performs the operation _A = alpha * x * y^T + conj(alpha) * y * x^T + A_, in which _x_ is an input vector and _x^T_ its transpose, _y_ is an input vector and _y^T_ its transpose, _A_ is the triangular Hermetian matrix to be updated, _alpha_ is a scalar value and _conj(alpha)_ its complex conjugate. C++ API: ``` @@ -1611,28 +1767,32 @@ StatusCode CLBlastZher2(const Layout layout, const Triangle triangle, Arguments to HER2: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const cl_mem y_buffer`: OpenCL buffer to store the input y vector. * `const size_t y_offset`: The offset in elements from the start of the input y vector. -* `const size_t y_inc`: Stride/increment of the input y vector. +* `const size_t y_inc`: Stride/increment of the input y vector. This value must be greater than 0. * `cl_mem a_buffer`: OpenCL buffer to store the output A matrix. * `const size_t a_offset`: The offset in elements from the start of the output A matrix. -* `const size_t a_ld`: Leading dimension of the output A matrix. +* `const size_t a_ld`: Leading dimension of the output A matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for HER2: + +* The value of `a_ld` must be at least `n`. + xHPR2: Hermitian packed rank-2 matrix update ------------- - +Same operation as xHER2, but matrix _A_ is an Hermitian packed matrix instead and represented as _AP_. C++ API: ``` @@ -1666,16 +1826,16 @@ StatusCode CLBlastZhpr2(const Layout layout, const Triangle triangle, Arguments to HPR2: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const cl_mem y_buffer`: OpenCL buffer to store the input y vector. * `const size_t y_offset`: The offset in elements from the start of the input y vector. -* `const size_t y_inc`: Stride/increment of the input y vector. +* `const size_t y_inc`: Stride/increment of the input y vector. This value must be greater than 0. * `cl_mem ap_buffer`: OpenCL buffer to store the output AP matrix. * `const size_t ap_offset`: The offset in elements from the start of the output AP matrix. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. @@ -1686,7 +1846,7 @@ Arguments to HPR2: xSYR: Symmetric rank-1 matrix update ------------- - +Same operation as xHER, but matrix A is a symmetric matrix instead. C++ API: ``` @@ -1713,29 +1873,39 @@ StatusCode CLBlastDsyr(const Layout layout, const Triangle triangle, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_mem a_buffer, const size_t a_offset, const size_t a_ld, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHsyr(const Layout layout, const Triangle triangle, + const size_t n, + const cl_half alpha, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + cl_command_queue* queue, cl_event* event) ``` Arguments to SYR: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `cl_mem a_buffer`: OpenCL buffer to store the output A matrix. * `const size_t a_offset`: The offset in elements from the start of the output A matrix. -* `const size_t a_ld`: Leading dimension of the output A matrix. +* `const size_t a_ld`: Leading dimension of the output A matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for SYR: + +* The value of `a_ld` must be at least `n`. + xSPR: Symmetric packed rank-1 matrix update ------------- - +Same operation as xSPR, but matrix _A_ is a symmetric packed matrix instead and represented as _AP_. C++ API: ``` @@ -1762,17 +1932,23 @@ StatusCode CLBlastDspr(const Layout layout, const Triangle triangle, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_mem ap_buffer, const size_t ap_offset, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHspr(const Layout layout, const Triangle triangle, + const size_t n, + const cl_half alpha, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + cl_mem ap_buffer, const size_t ap_offset, + cl_command_queue* queue, cl_event* event) ``` Arguments to SPR: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `cl_mem ap_buffer`: OpenCL buffer to store the output AP matrix. * `const size_t ap_offset`: The offset in elements from the start of the output AP matrix. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. @@ -1783,7 +1959,7 @@ Arguments to SPR: xSYR2: Symmetric rank-2 matrix update ------------- - +Same operation as xHER2, but matrix _A_ is a symmetric matrix instead. C++ API: ``` @@ -1813,32 +1989,43 @@ StatusCode CLBlastDsyr2(const Layout layout, const Triangle triangle, const cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_mem a_buffer, const size_t a_offset, const size_t a_ld, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHsyr2(const Layout layout, const Triangle triangle, + const size_t n, + const cl_half alpha, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + const cl_mem y_buffer, const size_t y_offset, const size_t y_inc, + cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + cl_command_queue* queue, cl_event* event) ``` Arguments to SYR2: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const cl_mem y_buffer`: OpenCL buffer to store the input y vector. * `const size_t y_offset`: The offset in elements from the start of the input y vector. -* `const size_t y_inc`: Stride/increment of the input y vector. +* `const size_t y_inc`: Stride/increment of the input y vector. This value must be greater than 0. * `cl_mem a_buffer`: OpenCL buffer to store the output A matrix. * `const size_t a_offset`: The offset in elements from the start of the output A matrix. -* `const size_t a_ld`: Leading dimension of the output A matrix. +* `const size_t a_ld`: Leading dimension of the output A matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for SYR2: + +* The value of `a_ld` must be at least `n`. + xSPR2: Symmetric packed rank-2 matrix update ------------- - +Same operation as xSPR2, but matrix _A_ is a symmetric packed matrix instead and represented as _AP_. C++ API: ``` @@ -1868,20 +2055,27 @@ StatusCode CLBlastDspr2(const Layout layout, const Triangle triangle, const cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_mem ap_buffer, const size_t ap_offset, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHspr2(const Layout layout, const Triangle triangle, + const size_t n, + const cl_half alpha, + const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, + const cl_mem y_buffer, const size_t y_offset, const size_t y_inc, + cl_mem ap_buffer, const size_t ap_offset, + cl_command_queue* queue, cl_event* event) ``` Arguments to SPR2: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem x_buffer`: OpenCL buffer to store the input x vector. * `const size_t x_offset`: The offset in elements from the start of the input x vector. -* `const size_t x_inc`: Stride/increment of the input x vector. +* `const size_t x_inc`: Stride/increment of the input x vector. This value must be greater than 0. * `const cl_mem y_buffer`: OpenCL buffer to store the input y vector. * `const size_t y_offset`: The offset in elements from the start of the input y vector. -* `const size_t y_inc`: Stride/increment of the input y vector. +* `const size_t y_inc`: Stride/increment of the input y vector. This value must be greater than 0. * `cl_mem ap_buffer`: OpenCL buffer to store the output AP matrix. * `const size_t ap_offset`: The offset in elements from the start of the output AP matrix. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. @@ -1892,7 +2086,7 @@ Arguments to SPR2: xGEMM: General matrix-matrix multiplication ------------- - +Performs the matrix product _C = alpha * A * B + beta * C_, in which _A_ (_m_ by _k_) and _B_ (_k_ by _n_) are two general rectangular input matrices, _C_ (_m_ by _n_) is the matrix to be updated, and _alpha_ and _beta_ are scalar values. The matrices _A_ and/or _B_ can optionally be transposed before performing the operation. C++ API: ``` @@ -1941,36 +2135,50 @@ StatusCode CLBlastZgemm(const Layout layout, const Transpose a_transpose, const const cl_double2 beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHgemm(const Layout layout, const Transpose a_transpose, const Transpose b_transpose, + const size_t m, const size_t n, const size_t k, + const cl_half alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + const cl_mem b_buffer, const size_t b_offset, const size_t b_ld, + const cl_half beta, + cl_mem c_buffer, const size_t c_offset, const size_t c_ld, + cl_command_queue* queue, cl_event* event) ``` Arguments to GEMM: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. -* `const Transpose`: Transposing the input matrix B, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. -* `const size_t m`: Integer size argument. -* `const size_t n`: Integer size argument. -* `const size_t k`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Transpose a_transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. +* `const Transpose b_transpose`: Transposing the input matrix B, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. +* `const size_t m`: Integer size argument. This value must be positive. +* `const size_t n`: Integer size argument. This value must be positive. +* `const size_t k`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `const cl_mem b_buffer`: OpenCL buffer to store the input B matrix. * `const size_t b_offset`: The offset in elements from the start of the input B matrix. -* `const size_t b_ld`: Leading dimension of the input B matrix. +* `const size_t b_ld`: Leading dimension of the input B matrix. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem c_buffer`: OpenCL buffer to store the output C matrix. * `const size_t c_offset`: The offset in elements from the start of the output C matrix. -* `const size_t c_ld`: Leading dimension of the output C matrix. +* `const size_t c_ld`: Leading dimension of the output C matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for GEMM: + +* When `transpose_a == Transpose::kNo`, then `a_ld` must be at least `m`, otherwise `a_ld` must be at least `k`. +* When `transpose_b == Transpose::kNo`, then `b_ld` must be at least `k`, otherwise `b_ld` must be at least `n`. +* The value of `c_ld` must be at least `m`. + xSYMM: Symmetric matrix-matrix multiplication ------------- - +Same operation as xGEMM, but _A_ is symmetric instead. In case of `side == kLeft`, _A_ is a symmetric _m_ by _m_ matrix and _C = alpha * A * B + beta * C_ is performed. Otherwise, in case of `side == kRight`, _A_ is a symmtric _n_ by _n_ matrix and _C = alpha * B * A + beta * C_ is performed. C++ API: ``` @@ -2019,35 +2227,49 @@ StatusCode CLBlastZsymm(const Layout layout, const Side side, const Triangle tri const cl_double2 beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHsymm(const Layout layout, const Side side, const Triangle triangle, + const size_t m, const size_t n, + const cl_half alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + const cl_mem b_buffer, const size_t b_offset, const size_t b_ld, + const cl_half beta, + cl_mem c_buffer, const size_t c_offset, const size_t c_ld, + cl_command_queue* queue, cl_event* event) ``` Arguments to SYMM: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Side`: The horizontal position of the triangular matrix, either `Side::kLeft` (141) or `Side::kRight` (142). -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t m`: Integer size argument. -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Side side`: The position of the triangular matrix in the operation, either on the `Side::kLeft` (141) or `Side::kRight` (142). +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t m`: Integer size argument. This value must be positive. +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `const cl_mem b_buffer`: OpenCL buffer to store the input B matrix. * `const size_t b_offset`: The offset in elements from the start of the input B matrix. -* `const size_t b_ld`: Leading dimension of the input B matrix. +* `const size_t b_ld`: Leading dimension of the input B matrix. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem c_buffer`: OpenCL buffer to store the output C matrix. * `const size_t c_offset`: The offset in elements from the start of the output C matrix. -* `const size_t c_ld`: Leading dimension of the output C matrix. +* `const size_t c_ld`: Leading dimension of the output C matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for SYMM: + +* When `side = Side::kLeft` then `a_ld` must be at least `m`, otherwise `a_ld` must be at least `n`. +* The value of `b_ld` must be at least `m`. +* The value of `c_ld` must be at least `m`. + xHEMM: Hermitian matrix-matrix multiplication ------------- - +Same operation as xSYMM, but _A_ is an Hermitian matrix instead. C++ API: ``` @@ -2084,31 +2306,37 @@ StatusCode CLBlastZhemm(const Layout layout, const Side side, const Triangle tri Arguments to HEMM: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Side`: The horizontal position of the triangular matrix, either `Side::kLeft` (141) or `Side::kRight` (142). -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const size_t m`: Integer size argument. -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Side side`: The position of the triangular matrix in the operation, either on the `Side::kLeft` (141) or `Side::kRight` (142). +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const size_t m`: Integer size argument. This value must be positive. +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `const cl_mem b_buffer`: OpenCL buffer to store the input B matrix. * `const size_t b_offset`: The offset in elements from the start of the input B matrix. -* `const size_t b_ld`: Leading dimension of the input B matrix. +* `const size_t b_ld`: Leading dimension of the input B matrix. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem c_buffer`: OpenCL buffer to store the output C matrix. * `const size_t c_offset`: The offset in elements from the start of the output C matrix. -* `const size_t c_ld`: Leading dimension of the output C matrix. +* `const size_t c_ld`: Leading dimension of the output C matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for HEMM: + +* When `side = Side::kLeft` then `a_ld` must be at least `m`, otherwise `a_ld` must be at least `n`. +* The value of `b_ld` must be at least `m`. +* The value of `c_ld` must be at least `m`. + xSYRK: Rank-K update of a symmetric matrix ------------- - +Performs the matrix product _C = alpha * A * A^T + beta * C_ or _C = alpha * A^T * A + beta * C_, in which _A_ is a general matrix and _A^T_ is its transpose, _C_ (_n_ by _n_) is the symmetric matrix to be updated, and _alpha_ and _beta_ are scalar values. C++ API: ``` @@ -2152,32 +2380,44 @@ StatusCode CLBlastZsyrk(const Layout layout, const Triangle triangle, const Tran const cl_double2 beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHsyrk(const Layout layout, const Triangle triangle, const Transpose a_transpose, + const size_t n, const size_t k, + const cl_half alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + const cl_half beta, + cl_mem c_buffer, const size_t c_offset, const size_t c_ld, + cl_command_queue* queue, cl_event* event) ``` Arguments to SYRK: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const Transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. -* `const size_t n`: Integer size argument. -* `const size_t k`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const Transpose a_transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. +* `const size_t n`: Integer size argument. This value must be positive. +* `const size_t k`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem c_buffer`: OpenCL buffer to store the output C matrix. * `const size_t c_offset`: The offset in elements from the start of the output C matrix. -* `const size_t c_ld`: Leading dimension of the output C matrix. +* `const size_t c_ld`: Leading dimension of the output C matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for SYRK: + +* When `transpose == Transpose::kNo`, then `a_ld` must be at least `n`, otherwise `a_ld` must be at least `k`. +* The value of `c_ld` must be at least `m`. + xHERK: Rank-K update of a hermitian matrix ------------- - +Same operation as xSYRK, but _C_ is an Hermitian matrix instead. C++ API: ``` @@ -2211,28 +2451,33 @@ StatusCode CLBlastZherk(const Layout layout, const Triangle triangle, const Tran Arguments to HERK: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const Transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. -* `const size_t n`: Integer size argument. -* `const size_t k`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const Transpose a_transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. +* `const size_t n`: Integer size argument. This value must be positive. +* `const size_t k`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem c_buffer`: OpenCL buffer to store the output C matrix. * `const size_t c_offset`: The offset in elements from the start of the output C matrix. -* `const size_t c_ld`: Leading dimension of the output C matrix. +* `const size_t c_ld`: Leading dimension of the output C matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for HERK: + +* When `transpose == Transpose::kNo`, then `a_ld` must be at least `n`, otherwise `a_ld` must be at least `k`. +* The value of `c_ld` must be at least `m`. + xSYR2K: Rank-2K update of a symmetric matrix ------------- - +Performs the matrix product _C = alpha * A * B^T + alpha * B * A^T + beta * C_ or _C = alpha * A^T * B + alpha * B^T * A + beta * C_, in which _A_ and _B_ are general matrices and _A^T_ and _B^T_ are their transposed versions, _C_ (_n_ by _n_) is the symmetric matrix to be updated, and _alpha_ and _beta_ are scalar values. C++ API: ``` @@ -2281,35 +2526,49 @@ StatusCode CLBlastZsyr2k(const Layout layout, const Triangle triangle, const Tra const cl_double2 beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHsyr2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose, + const size_t n, const size_t k, + const cl_half alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + const cl_mem b_buffer, const size_t b_offset, const size_t b_ld, + const cl_half beta, + cl_mem c_buffer, const size_t c_offset, const size_t c_ld, + cl_command_queue* queue, cl_event* event) ``` Arguments to SYR2K: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const Transpose`: Transposing the packed input matrix AP, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. -* `const size_t n`: Integer size argument. -* `const size_t k`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const Transpose ab_transpose`: Transposing the packed input matrix AP, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. +* `const size_t n`: Integer size argument. This value must be positive. +* `const size_t k`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `const cl_mem b_buffer`: OpenCL buffer to store the input B matrix. * `const size_t b_offset`: The offset in elements from the start of the input B matrix. -* `const size_t b_ld`: Leading dimension of the input B matrix. +* `const size_t b_ld`: Leading dimension of the input B matrix. This value must be greater than 0. * `const T beta`: Input scalar constant. * `cl_mem c_buffer`: OpenCL buffer to store the output C matrix. * `const size_t c_offset`: The offset in elements from the start of the output C matrix. -* `const size_t c_ld`: Leading dimension of the output C matrix. +* `const size_t c_ld`: Leading dimension of the output C matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for SYR2K: + +* When `transpose == Transpose::kNo`, then `a_ld` must be at least `n`, otherwise `a_ld` must be at least `k`. +* When `transpose == Transpose::kNo`, then `b_ld` must be at least `n`, otherwise `b_ld` must be at least `k`. +* The value of `c_ld` must be at least `n`. + xHER2K: Rank-2K update of a hermitian matrix ------------- - +Same operation as xSYR2K, but _C_ is an Hermitian matrix instead. C++ API: ``` @@ -2346,31 +2605,37 @@ StatusCode CLBlastZher2k(const Layout layout, const Triangle triangle, const Tra Arguments to HER2K: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const Transpose`: Transposing the packed input matrix AP, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. -* `const size_t n`: Integer size argument. -* `const size_t k`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const Transpose ab_transpose`: Transposing the packed input matrix AP, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. +* `const size_t n`: Integer size argument. This value must be positive. +* `const size_t k`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `const cl_mem b_buffer`: OpenCL buffer to store the input B matrix. * `const size_t b_offset`: The offset in elements from the start of the input B matrix. -* `const size_t b_ld`: Leading dimension of the input B matrix. +* `const size_t b_ld`: Leading dimension of the input B matrix. This value must be greater than 0. * `const U beta`: Input scalar constant. * `cl_mem c_buffer`: OpenCL buffer to store the output C matrix. * `const size_t c_offset`: The offset in elements from the start of the output C matrix. -* `const size_t c_ld`: Leading dimension of the output C matrix. +* `const size_t c_ld`: Leading dimension of the output C matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for HER2K: + +* When `transpose == Transpose::kNo`, then `a_ld` must be at least `n`, otherwise `a_ld` must be at least `k`. +* When `transpose == Transpose::kNo`, then `b_ld` must be at least `n`, otherwise `b_ld` must be at least `k`. +* The value of `c_ld` must be at least `n`. + xTRMM: Triangular matrix-matrix multiplication ------------- - +Performs the matrix product _B = alpha * A * B_ or _B = alpha * B * A_, in which _A_ is a unit or non-unit triangular matrix, _B_ (_m_ by _n_) is the general matrix to be updated, and _alpha_ is a scalar value. C++ API: ``` @@ -2409,26 +2674,110 @@ StatusCode CLBlastZtrmm(const Layout layout, const Side side, const Triangle tri const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, cl_mem b_buffer, const size_t b_offset, const size_t b_ld, cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHtrmm(const Layout layout, const Side side, const Triangle triangle, const Transpose a_transpose, const Diagonal diagonal, + const size_t m, const size_t n, + const cl_half alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + cl_mem b_buffer, const size_t b_offset, const size_t b_ld, + cl_command_queue* queue, cl_event* event) ``` Arguments to TRMM: -* `const Layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. -* `const Side`: The horizontal position of the triangular matrix, either `Side::kLeft` (141) or `Side::kRight` (142). -* `const Triangle`: The vertical position of the triangular matrix, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). -* `const Transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. -* `const Diagonal`: The property of the diagonal matrix, either `Diagonal::kNonUnit` (131) for a non-unit values on the diagonal or `Diagonal::kUnit` (132) for a unit values on the diagonal. -* `const size_t m`: Integer size argument. -* `const size_t n`: Integer size argument. +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Side side`: The position of the triangular matrix in the operation, either on the `Side::kLeft` (141) or `Side::kRight` (142). +* `const Triangle triangle`: The part of the array of the triangular matrix to be used, either `Triangle::kUpper` (121) or `Triangle::kLower` (122). +* `const Transpose a_transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. +* `const Diagonal diagonal`: The property of the diagonal matrix, either `Diagonal::kNonUnit` (131) for non-unit values on the diagonal or `Diagonal::kUnit` (132) for unit values on the diagonal. +* `const size_t m`: Integer size argument. This value must be positive. +* `const size_t n`: Integer size argument. This value must be positive. * `const T alpha`: Input scalar constant. * `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. * `const size_t a_offset`: The offset in elements from the start of the input A matrix. -* `const size_t a_ld`: Leading dimension of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. * `cl_mem b_buffer`: OpenCL buffer to store the output B matrix. * `const size_t b_offset`: The offset in elements from the start of the output B matrix. -* `const size_t b_ld`: Leading dimension of the output B matrix. +* `const size_t b_ld`: Leading dimension of the output B matrix. This value must be greater than 0. * `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. * `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. +Requirements for TRMM: + +* When `side = Side::kLeft` then `a_ld` must be at least `m`, otherwise `a_ld` must be at least `n`. +* The value of `b_ld` must be at least `m`. + + + +xOMATCOPY: Scaling and out-place transpose/copy (non-BLAS function) +------------- + +Performs scaling and out-of-place transposition/copying of matrices according to _B = alpha*op(A)_, in which _A_ is an input matrix (_m_ rows by _n_ columns), _B_ an output matrix, and _alpha_ a scalar value. The operation _op_ can be a normal matrix copy, a transposition or a conjugate transposition. + +C++ API: +``` +template <typename T> +StatusCode Omatcopy(const Layout layout, const Transpose a_transpose, + const size_t m, const size_t n, + const T alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + cl_mem b_buffer, const size_t b_offset, const size_t b_ld, + cl_command_queue* queue, cl_event* event) +``` + +C API: +``` +StatusCode CLBlastSomatcopy(const Layout layout, const Transpose a_transpose, + const size_t m, const size_t n, + const float alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + cl_mem b_buffer, const size_t b_offset, const size_t b_ld, + cl_command_queue* queue, cl_event* event) +StatusCode CLBlastDomatcopy(const Layout layout, const Transpose a_transpose, + const size_t m, const size_t n, + const double alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + cl_mem b_buffer, const size_t b_offset, const size_t b_ld, + cl_command_queue* queue, cl_event* event) +StatusCode CLBlastComatcopy(const Layout layout, const Transpose a_transpose, + const size_t m, const size_t n, + const cl_float2 alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + cl_mem b_buffer, const size_t b_offset, const size_t b_ld, + cl_command_queue* queue, cl_event* event) +StatusCode CLBlastZomatcopy(const Layout layout, const Transpose a_transpose, + const size_t m, const size_t n, + const cl_double2 alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + cl_mem b_buffer, const size_t b_offset, const size_t b_ld, + cl_command_queue* queue, cl_event* event) +StatusCode CLBlastHomatcopy(const Layout layout, const Transpose a_transpose, + const size_t m, const size_t n, + const cl_half alpha, + const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, + cl_mem b_buffer, const size_t b_offset, const size_t b_ld, + cl_command_queue* queue, cl_event* event) +``` + +Arguments to OMATCOPY: + +* `const Layout layout`: Data-layout of the matrices, either `Layout::kRowMajor` (101) for row-major layout or `Layout::kColMajor` (102) for column-major data-layout. +* `const Transpose a_transpose`: Transposing the input matrix A, either `Transpose::kNo` (111), `Transpose::kYes` (112), or `Transpose::kConjugate` (113) for a complex-conjugate transpose. +* `const size_t m`: Integer size argument. This value must be positive. +* `const size_t n`: Integer size argument. This value must be positive. +* `const T alpha`: Input scalar constant. +* `const cl_mem a_buffer`: OpenCL buffer to store the input A matrix. +* `const size_t a_offset`: The offset in elements from the start of the input A matrix. +* `const size_t a_ld`: Leading dimension of the input A matrix. This value must be greater than 0. +* `cl_mem b_buffer`: OpenCL buffer to store the output B matrix. +* `const size_t b_offset`: The offset in elements from the start of the output B matrix. +* `const size_t b_ld`: Leading dimension of the output B matrix. This value must be greater than 0. +* `cl_command_queue* queue`: Pointer to an OpenCL command queue associated with a context and device to execute the routine on. +* `cl_event* event`: Pointer to an OpenCL event to be able to wait for completion of the routine's OpenCL kernel(s). This is an optional argument. + +Requirements for OMATCOPY: + +* The value of `a_ld` must be at least `m`. +* The value of `b_ld` must be at least `n`. + |