This work proposes a new GPU thread map for $m$-simplex domains, that scales its speedup with dimension and is energy efficient compared to other state of the art approaches. The main contributions of this work are i) the formulation of the new block-space map $\mathcal{H}: \mathbb{Z}^m \mapsto \mathbb{Z}^m$ for regular orthogonal simplex domains, which is analyzed in terms of resource usage, and ii) the experimental evaluation in terms of speedup over a bounding box approach and energy efficiency as elements per second per Watt. Results from the analysis show that $\mathcal{H}$ has a potential speedup of up to $2\times$ and $6\times$ for $2$ and $3$-simplices, respectively. Experimental evaluation shows that $\mathcal{H}$ is competitive for $2$-simplices, reaching $1.2\times \sim 2.0\times$ of speedup for different tests, which is on par with the fastest state of the art approaches. For $3$-simplices $\mathcal{H}$ reaches up to $1.3\times \sim 6.0\times$ of speedup making it the fastest of all. The extension of $\mathcal{H}$ to higher dimensional $m$-simplices is feasible and has a potential speedup that scales as $m!$ given a proper selection of parameters $r, \beta$ which are the scaling and replication factors, respectively. In terms of energy consumption, although $\mathcal{H}$ is among the highest in power consumption, it compensates by its short duration, making it one of the most energy efficient approaches. Lastly, further improvements with Tensor and Ray Tracing Cores are analyzed, giving insights to leverage each one of them. The results obtained in this work show that $\mathcal{H}$ is a scalable and energy efficient map that can contribute to the efficiency of GPU applications when they need to process $m$-simplex domains, such as Cellular Automata or PDE simulations.
翻译:这项工作提议为 $m 平坦域绘制一个新的 GPU 线索映射, 以维度衡量其加速度, 并且与其它状态的艺术方法相比, 是节能效率。 此工作的主要贡献是 i) 制定新的块状空间映射 $\ mathcal{H} :\ mathbb}m\ m\ mappsto\ mamathb\m美元 用于常规正统简单域, 以资源使用方式分析 ; ii) 实验性评价, 加速一个捆绑框的参数和节能效率, 以每瓦特为单位。 分析结果显示 $m =macall 美元 的速效率 $m 。 将能量的速率升至 $m2 美元 。 实验性评估显示, $m2 mothcal cal} 快速度的速测算, 其速度的速率是每升1美元 。