Vectorizing the forward mode of ADOL-C on a GPU ... - Autodiff.org

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. K. Kulshreshtha, A. Koniaeva 8 / 13 <strong>Vectorizing</strong> <strong>ADOL</strong>-C using CUDA Euro AD 10.06.2013.Vector <strong>forward</strong> <strong>mode</strong>Multipoint, Multidirection GPU evaluationMultipoint, Multidirection GPUevaluation• All input and output data pointers are provided to <strong>the</strong> kernel• Kernel is copied to each thread on each block on <strong>the</strong> grid• CUDA Runtime provides following structures to a kernel• gridDim Dimensions <strong>of</strong> <strong>the</strong> Grid (∈ N 3 )• blockIdx Index <strong>of</strong> <strong>the</strong> Block in <strong>the</strong> Grid (∈ N 3 0 )• blockDim Dimensions <strong>of</strong> <strong>the</strong> Block (∈ N 3 )• threadIdx Index <strong>of</strong> <strong>the</strong> Thread in <strong>the</strong> Block (∈ N 3 0 )• Indices are used to select <strong>the</strong> data, on which <strong>the</strong> thread will work• The result is stored in <strong>the</strong> correct location using <strong>the</strong> indices• Dimensions <strong>of</strong> Grid and Block are set by <strong>the</strong> caller <strong>of</strong> <strong>the</strong> kernel
. K. Kulshreshtha, A. Koniaeva 9 / 13 <strong>Vectorizing</strong> <strong>ADOL</strong>-C using CUDA Euro AD 10.06.2013Implementation.Implementation• namespace adtlc encapsulates <strong>the</strong> implementation• class adtlc::adouble analoguous to scalar traceless <strong>forward</strong>• Member functions and operators are annotated __device__ toindicate callablity inside GPU kernels• Evaluation routine using adtlc::adouble objects is completelyanaloguous to traceless CPU based implementation
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