CLBlast: API reference ================ xSWAP: Swap two vectors ------------- Interchanges the contents of vectors x and y. C++ API: ``` template StatusCode Swap(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) ``` C API: ``` StatusCode CLBlastSswap(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 CLBlastDswap(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 CLBlastCswap(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 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) ``` Arguments to SWAP: * `const size_t n`: Integer size argument. * `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. * `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. * `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. xSCAL: Vector scaling ------------- Multiplies all elements of vector x by a scalar constant alpha. C++ API: ``` template StatusCode Scal(const size_t n, const T alpha, cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastSscal(const size_t n, const float alpha, cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) StatusCode CLBlastDscal(const size_t n, const double alpha, cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) StatusCode CLBlastCscal(const size_t n, const cl_float2 alpha, cl_mem x_buffer, const size_t x_offset, const size_t x_inc, cl_command_queue* queue, cl_event* event) 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) ``` Arguments to SCAL: * `const size_t n`: Integer size argument. * `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. * `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. xCOPY: Vector copy ------------- Copies the contents of vector x into vector y. C++ API: ``` template StatusCode Copy(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) ``` C API: ``` StatusCode CLBlastScopy(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 CLBlastDcopy(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 CLBlastCcopy(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 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) ``` Arguments to COPY: * `const size_t n`: Integer size argument. * `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. * `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. * `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. 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. C++ API: ``` template StatusCode Axpy(const size_t n, const T 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) ``` C API: ``` StatusCode CLBlastSaxpy(const size_t n, const float 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) StatusCode CLBlastDaxpy(const size_t n, const double 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) StatusCode CLBlastCaxpy(const size_t n, const cl_float2 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) StatusCode CLBlastZaxpy(const size_t n, const cl_double2 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 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. * `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. * `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. 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. C++ API: ``` template StatusCode Dot(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) ``` C API: ``` StatusCode CLBlastSdot(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) StatusCode CLBlastDdot(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. * `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 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. * `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. xDOTU: Dot product of two complex vectors ------------- See the regular xDOT routine. C++ API: ``` template StatusCode Dotu(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) ``` C API: ``` StatusCode CLBlastCdotu(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) StatusCode CLBlastZdotu(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 DOTU: * `const size_t n`: Integer size argument. * `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 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. * `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. xDOTC: Dot product of two complex vectors, one conjugated ------------- See the regular xDOT routine. C++ API: ``` template StatusCode Dotc(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) ``` C API: ``` StatusCode CLBlastCdotc(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) StatusCode CLBlastZdotc(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 DOTC: * `const size_t n`: Integer size argument. * `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 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. * `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. 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. C++ API: ``` template StatusCode Nrm2(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) ``` C API: ``` StatusCode CLBlastSnrm2(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 CLBlastDnrm2(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 CLBlastScnrm2(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 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) ``` Arguments to NRM2: * `const size_t n`: Integer size argument. * `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. * `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. 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. C++ API: ``` template StatusCode Asum(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) ``` C API: ``` StatusCode CLBlastSasum(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 CLBlastDasum(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 CLBlastScasum(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 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) ``` Arguments to ASUM: * `const size_t n`: Integer size argument. * `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. * `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. 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. C++ API: ``` template StatusCode Sum(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) ``` C API: ``` StatusCode CLBlastSsum(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 CLBlastDsum(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 CLBlastScsum(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 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) ``` Arguments to SUM: * `const size_t n`: Integer size argument. * `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. * `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. 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. C++ API: ``` template StatusCode Amax(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) ``` C API: ``` StatusCode CLBlastiSamax(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 CLBlastiDamax(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 CLBlastiCamax(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 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) ``` Arguments to AMAX: * `const size_t n`: Integer size argument. * `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. * `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. 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. C++ API: ``` template StatusCode Max(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) ``` C API: ``` StatusCode CLBlastiSmax(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 CLBlastiDmax(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 CLBlastiCmax(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 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) ``` Arguments to MAX: * `const size_t n`: Integer size argument. * `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. * `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. 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. C++ API: ``` template StatusCode Min(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) ``` C API: ``` StatusCode CLBlastiSmin(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 CLBlastiDmin(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 CLBlastiCmin(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 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) ``` Arguments to MIN: * `const size_t n`: Integer size argument. * `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. * `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. 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. C++ API: ``` template StatusCode Gemv(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, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, const T beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastSgemv(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, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, const float beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) StatusCode CLBlastDgemv(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, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, 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 CLBlastCgemv(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, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, const cl_float2 beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) StatusCode CLBlastZgemv(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, const cl_mem x_buffer, const size_t x_offset, const size_t x_inc, 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) ``` 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 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 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 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. * `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. xGBMV: General banded matrix-vector multiplication ------------- Same operation as xGEMV, but matrix A is banded instead. C++ API: ``` template StatusCode Gbmv(const Layout layout, const Transpose a_transpose, const size_t m, const size_t n, const size_t kl, const size_t ku, const T 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 T beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastSgbmv(const Layout layout, const Transpose a_transpose, const size_t m, const size_t n, const size_t kl, const size_t ku, const float 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 float beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) StatusCode CLBlastDgbmv(const Layout layout, const Transpose a_transpose, const size_t m, const size_t n, const size_t kl, const size_t ku, const double 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 double beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) StatusCode CLBlastCgbmv(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_float2 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_float2 beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) StatusCode CLBlastZgbmv(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_double2 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_double2 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 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 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 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. * `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. xHEMV: Hermitian matrix-vector multiplication ------------- Same operation as xGEMV, but matrix A is an Hermitian matrix instead. C++ API: ``` template StatusCode Hemv(const Layout layout, const Triangle triangle, const size_t n, const T 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 T beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastChemv(const Layout layout, const Triangle triangle, const size_t n, const cl_float2 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_float2 beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) StatusCode CLBlastZhemv(const Layout layout, const Triangle triangle, const size_t n, const cl_double2 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_double2 beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) ``` 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 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 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 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. * `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. xHBMV: Hermitian banded matrix-vector multiplication ------------- Same operation as xGEMV, but matrix A is an Hermitian banded matrix instead. C++ API: ``` template StatusCode Hbmv(const Layout layout, const Triangle triangle, const size_t n, const size_t k, const T 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 T beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastChbmv(const Layout layout, const Triangle triangle, const size_t n, const size_t k, const cl_float2 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_float2 beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) StatusCode CLBlastZhbmv(const Layout layout, const Triangle triangle, const size_t n, const size_t k, const cl_double2 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_double2 beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) ``` 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 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 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 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. * `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. xHPMV: Hermitian packed matrix-vector multiplication ------------- Same operation as xGEMV, but matrix A is an Hermitian packed matrix instead and represented as AP. C++ API: ``` template StatusCode Hpmv(const Layout layout, const Triangle triangle, const size_t n, const T 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 T beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastChpmv(const Layout layout, const Triangle triangle, const size_t n, const cl_float2 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_float2 beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) StatusCode CLBlastZhpmv(const Layout layout, const Triangle triangle, const size_t n, const cl_double2 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_double2 beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) ``` 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 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 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. * `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. xSYMV: Symmetric matrix-vector multiplication ------------- Same operation as xGEMV, but matrix A is symmetric instead. C++ API: ``` template StatusCode Symv(const Layout layout, const Triangle triangle, const size_t n, const T 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 T beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastSsymv(const Layout layout, const Triangle triangle, const size_t n, const float 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 float beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) StatusCode CLBlastDsymv(const Layout layout, const Triangle triangle, const size_t n, const double 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 double 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 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 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 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. * `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. xSBMV: Symmetric banded matrix-vector multiplication ------------- Same operation as xGEMV, but matrix A is symmetric and banded instead. C++ API: ``` template StatusCode Sbmv(const Layout layout, const Triangle triangle, const size_t n, const size_t k, const T 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 T beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastSsbmv(const Layout layout, const Triangle triangle, const size_t n, const size_t k, const float 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 float beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) StatusCode CLBlastDsbmv(const Layout layout, const Triangle triangle, const size_t n, const size_t k, const double 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 double 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 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 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 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. * `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. xSPMV: Symmetric packed matrix-vector multiplication ------------- Same operation as xGEMV, but matrix A is a symmetric packed matrix instead and represented as AP. C++ API: ``` template StatusCode Spmv(const Layout layout, const Triangle triangle, const size_t n, const T 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 T beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastSspmv(const Layout layout, const Triangle triangle, const size_t n, const float 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 float beta, cl_mem y_buffer, const size_t y_offset, const size_t y_inc, cl_command_queue* queue, cl_event* event) StatusCode CLBlastDspmv(const Layout layout, const Triangle triangle, const size_t n, const double 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 double 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 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 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. * `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. xTRMV: Triangular matrix-vector multiplication ------------- Same operation as xGEMV, but matrix A is triangular instead. C++ API: ``` template StatusCode Trmv(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) ``` C API: ``` StatusCode CLBlastStrmv(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) StatusCode CLBlastDtrmv(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) StatusCode CLBlastCtrmv(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) StatusCode CLBlastZtrmv(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 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. * `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. * `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. xTBMV: Triangular banded matrix-vector multiplication ------------- Same operation as xGEMV, but matrix A is triangular and banded instead. C++ API: ``` template StatusCode Tbmv(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) ``` C API: ``` StatusCode CLBlastStbmv(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) StatusCode CLBlastDtbmv(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) StatusCode CLBlastCtbmv(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) StatusCode CLBlastZtbmv(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 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. * `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. * `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. xTPMV: Triangular packed matrix-vector multiplication ------------- Same operation as xGEMV, but matrix A is a triangular packed matrix instead and repreented as AP. C++ API: ``` template StatusCode Tpmv(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) ``` C API: ``` StatusCode CLBlastStpmv(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) StatusCode CLBlastDtpmv(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) StatusCode CLBlastCtpmv(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) StatusCode CLBlastZtpmv(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 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. * `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. xGER: General rank-1 matrix update ------------- C++ API: ``` template StatusCode Ger(const Layout layout, const size_t m, const size_t n, const T 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) ``` C API: ``` StatusCode CLBlastSger(const Layout layout, const size_t m, const size_t n, const float 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) StatusCode CLBlastDger(const Layout layout, const size_t m, const size_t n, const double 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 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 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. * `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. * `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. xGERU: General rank-1 complex matrix update ------------- C++ API: ``` template StatusCode Geru(const Layout layout, const size_t m, const size_t n, const T 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) ``` C API: ``` StatusCode CLBlastCgeru(const Layout layout, const size_t m, const size_t n, const cl_float2 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) StatusCode CLBlastZgeru(const Layout layout, const size_t m, const size_t n, const cl_double2 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 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 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 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. * `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. * `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. xGERC: General rank-1 complex conjugated matrix update ------------- C++ API: ``` template StatusCode Gerc(const Layout layout, const size_t m, const size_t n, const T 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) ``` C API: ``` StatusCode CLBlastCgerc(const Layout layout, const size_t m, const size_t n, const cl_float2 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) StatusCode CLBlastZgerc(const Layout layout, const size_t m, const size_t n, const cl_double2 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 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 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 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. * `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. * `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. xHER: Hermitian rank-1 matrix update ------------- C++ API: ``` template StatusCode Her(const Layout layout, const Triangle triangle, const size_t n, const T 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) ``` C API: ``` StatusCode CLBlastCher(const Layout layout, const Triangle triangle, const size_t n, const float 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) StatusCode CLBlastZher(const Layout layout, const Triangle triangle, const size_t n, const double 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 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 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. * `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. * `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. xHPR: Hermitian packed rank-1 matrix update ------------- C++ API: ``` template StatusCode Hpr(const Layout layout, const Triangle triangle, const size_t n, const T 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) ``` C API: ``` StatusCode CLBlastChpr(const Layout layout, const Triangle triangle, const size_t n, const float 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) StatusCode CLBlastZhpr(const Layout layout, const Triangle triangle, const size_t n, const double 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 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 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. * `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. * `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. xHER2: Hermitian rank-2 matrix update ------------- C++ API: ``` template StatusCode Her2(const Layout layout, const Triangle triangle, const size_t n, const T 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) ``` C API: ``` StatusCode CLBlastCher2(const Layout layout, const Triangle triangle, const size_t n, const cl_float2 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) StatusCode CLBlastZher2(const Layout layout, const Triangle triangle, const size_t n, const cl_double2 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 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 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 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. * `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. * `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. xHPR2: Hermitian packed rank-2 matrix update ------------- C++ API: ``` template StatusCode Hpr2(const Layout layout, const Triangle triangle, const size_t n, const T 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) ``` C API: ``` StatusCode CLBlastChpr2(const Layout layout, const Triangle triangle, const size_t n, const cl_float2 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) StatusCode CLBlastZhpr2(const Layout layout, const Triangle triangle, const size_t n, const cl_double2 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 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 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 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. * `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. * `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. xSYR: Symmetric rank-1 matrix update ------------- C++ API: ``` template StatusCode Syr(const Layout layout, const Triangle triangle, const size_t n, const T 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) ``` C API: ``` StatusCode CLBlastSsyr(const Layout layout, const Triangle triangle, const size_t n, const float 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) StatusCode CLBlastDsyr(const Layout layout, const Triangle triangle, const size_t n, const double 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 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. * `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. * `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. xSPR: Symmetric packed rank-1 matrix update ------------- C++ API: ``` template StatusCode Spr(const Layout layout, const Triangle triangle, const size_t n, const T 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) ``` C API: ``` StatusCode CLBlastSspr(const Layout layout, const Triangle triangle, const size_t n, const float 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) StatusCode CLBlastDspr(const Layout layout, const Triangle triangle, const size_t n, const double 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 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. * `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. * `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. xSYR2: Symmetric rank-2 matrix update ------------- C++ API: ``` template StatusCode Syr2(const Layout layout, const Triangle triangle, const size_t n, const T 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) ``` C API: ``` StatusCode CLBlastSsyr2(const Layout layout, const Triangle triangle, const size_t n, const float 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) StatusCode CLBlastDsyr2(const Layout layout, const Triangle triangle, const size_t n, const double 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 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 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. * `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. * `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. xSPR2: Symmetric packed rank-2 matrix update ------------- C++ API: ``` template StatusCode Spr2(const Layout layout, const Triangle triangle, const size_t n, const T 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) ``` C API: ``` StatusCode CLBlastSspr2(const Layout layout, const Triangle triangle, const size_t n, const float 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) StatusCode CLBlastDspr2(const Layout layout, const Triangle triangle, const size_t n, const double 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 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 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. * `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. * `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. xGEMM: General matrix-matrix multiplication ------------- C++ API: ``` template StatusCode Gemm(const Layout layout, const Transpose a_transpose, const Transpose b_transpose, const size_t m, const size_t n, const size_t k, const T 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 T beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastSgemm(const Layout layout, const Transpose a_transpose, const Transpose b_transpose, const size_t m, const size_t n, const size_t k, const float 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 float beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastDgemm(const Layout layout, const Transpose a_transpose, const Transpose b_transpose, const size_t m, const size_t n, const size_t k, const double 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 double beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastCgemm(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_float2 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_float2 beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastZgemm(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_double2 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_double2 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 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 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 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. * `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. xSYMM: Symmetric matrix-matrix multiplication ------------- C++ API: ``` template StatusCode Symm(const Layout layout, const Side side, const Triangle triangle, 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, const cl_mem b_buffer, const size_t b_offset, const size_t b_ld, const T beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastSsymm(const Layout layout, const Side side, const Triangle triangle, 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, const cl_mem b_buffer, const size_t b_offset, const size_t b_ld, const float beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastDsymm(const Layout layout, const Side side, const Triangle triangle, 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, const cl_mem b_buffer, const size_t b_offset, const size_t b_ld, const double beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastCsymm(const Layout layout, const Side side, const Triangle triangle, 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, const cl_mem b_buffer, const size_t b_offset, const size_t b_ld, const cl_float2 beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastZsymm(const Layout layout, const Side side, const Triangle triangle, 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, const cl_mem b_buffer, const size_t b_offset, const size_t b_ld, 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) ``` 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 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 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 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. * `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. xHEMM: Hermitian matrix-matrix multiplication ------------- C++ API: ``` template StatusCode Hemm(const Layout layout, const Side side, const Triangle triangle, 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, const cl_mem b_buffer, const size_t b_offset, const size_t b_ld, const T beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastChemm(const Layout layout, const Side side, const Triangle triangle, 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, const cl_mem b_buffer, const size_t b_offset, const size_t b_ld, const cl_float2 beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastZhemm(const Layout layout, const Side side, const Triangle triangle, 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, const cl_mem b_buffer, const size_t b_offset, const size_t b_ld, 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) ``` 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 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 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 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. * `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. xSYRK: Rank-K update of a symmetric matrix ------------- C++ API: ``` template StatusCode Syrk(const Layout layout, const Triangle triangle, const Transpose a_transpose, const size_t n, const size_t k, const T alpha, const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, const T beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastSsyrk(const Layout layout, const Triangle triangle, const Transpose a_transpose, const size_t n, const size_t k, const float alpha, const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, const float beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastDsyrk(const Layout layout, const Triangle triangle, const Transpose a_transpose, const size_t n, const size_t k, const double alpha, const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, const double beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastCsyrk(const Layout layout, const Triangle triangle, const Transpose a_transpose, const size_t n, const size_t k, const cl_float2 alpha, const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, const cl_float2 beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastZsyrk(const Layout layout, const Triangle triangle, const Transpose a_transpose, const size_t n, const size_t k, const cl_double2 alpha, const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, 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) ``` 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 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 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. * `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. xHERK: Rank-K update of a hermitian matrix ------------- C++ API: ``` template StatusCode Herk(const Layout layout, const Triangle triangle, const Transpose a_transpose, const size_t n, const size_t k, const T alpha, const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, const T beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastCherk(const Layout layout, const Triangle triangle, const Transpose a_transpose, const size_t n, const size_t k, const float alpha, const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, const float beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastZherk(const Layout layout, const Triangle triangle, const Transpose a_transpose, const size_t n, const size_t k, const double alpha, const cl_mem a_buffer, const size_t a_offset, const size_t a_ld, const double beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) ``` 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 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 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. * `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. xSYR2K: Rank-2K update of a symmetric matrix ------------- C++ API: ``` template StatusCode Syr2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose, const size_t n, const size_t k, const T 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 T beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastSsyr2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose, const size_t n, const size_t k, const float 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 float beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastDsyr2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose, const size_t n, const size_t k, const double 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 double beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastCsyr2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose, const size_t n, const size_t k, const cl_float2 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_float2 beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastZsyr2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose, const size_t n, const size_t k, const cl_double2 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_double2 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 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 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 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. * `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. xHER2K: Rank-2K update of a hermitian matrix ------------- C++ API: ``` template StatusCode Her2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose, const size_t n, const size_t k, const T 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 U beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) ``` C API: ``` StatusCode CLBlastCher2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose, const size_t n, const size_t k, const cl_float2 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 float beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) StatusCode CLBlastZher2k(const Layout layout, const Triangle triangle, const Transpose ab_transpose, const size_t n, const size_t k, const cl_double2 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 double beta, cl_mem c_buffer, const size_t c_offset, const size_t c_ld, cl_command_queue* queue, cl_event* event) ``` 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 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 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 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. * `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. xTRMM: Triangular matrix-matrix multiplication ------------- C++ API: ``` template StatusCode Trmm(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 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 CLBlastStrmm(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 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 CLBlastDtrmm(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 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 CLBlastCtrmm(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_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 CLBlastZtrmm(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_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) ``` 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 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. * `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. * `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.