# What every scientist should know about computer architecture **Important**: these are instructor notes, remove this file before showing the materials to the students. The notes can be added after the lecture, of course. ## Introduction - [Puzzle](puzzle.ipynb) (how swapping two nested for-loops makes out for a >27× slowdown - Let students play around with the notebook and try to find the "bug" - A more thorough benchmark using the same code is [here](benchmark_python/) ## A digression in CPU architecture and the memory hierarchy - Go to [A Primer in CPU architecture](architecture) - The need for a hierarchical access to data for the CPU should be clear now ➔ the "starving" CPU problem - Have a look at the historical evolution of [speeds](speed/) of different components in a computer: - the CPU clock rate - the memory (RAM) bandwidth, latency clock rate - the storage media access rates - Measure size and timings for the memory hierarchy on my machine with a low level [C benchmark](benchmark_low_level) ## Back to the Python benchmark (second try) - can we explain what is happening? - it must have to do with the good (or bad) use of cache properties - but how are numpy arrays laid out in memory? ## Anatomy of a numpy array - [memory layout of numpy arrays](numpy) ## Back to the Python benchmark (third try) - can we explain what is happening now? Yes, more or less ;-) - quick fix for the [puzzle](puzzle.ipynb): try and add `order='F'` in the "bad" snippet and see that is "fixes" the bug ➔ why? Notes on the [Python benchmark](benchmark_python/): - while running it attached to the P-core (`cpu0`), the P-core was running under a constant load of 100% (almost completely user-time) and at a fixed frequency of 3.8 GHz, where the theoretical max would be 5.2 GHz - while running it attached to the E-core (`cpu10`), the E-core was running under a constant load of 100% (almost completely user-time) and at a fixed requency of 2.5 GHz, where the theoretical max would be 3.9 GHz - ... ➔ the CPU does not "starve" because it scales its speed down to match the memory throughput? Or I am misinterpreting this? This problem which at first sight should be perfectly memory-bound, becomes CPU-bound, or actually, exactly balanced? ;-) ## Excerpts of parallel Python - [The dangers and joys of automatic parallelization](parallel) (like in numpy linear algebra routines) and the use of clusters/schedulers (but also on your laptop) ## Concluding remarks - how is all of this relevant for the users of a computing cluster?