From 98370552582c60d7b35bf6d09d64be7155372e01 Mon Sep 17 00:00:00 2001 From: Dominik Zobel <zobel@dkrz.de> Date: Wed, 26 Jun 2024 11:14:15 +0200 Subject: [PATCH] Add visualization for memory models --- lectures/memory-hierarchies/slides.qmd | 97 +++++++++++++++--- .../static/concepts_model01.png | Bin 0 -> 18906 bytes .../static/concepts_model02.png | Bin 0 -> 16471 bytes .../static/concepts_model03.png | Bin 0 -> 12065 bytes .../static/concepts_model04.png | Bin 0 -> 13903 bytes .../static/concepts_model05.png | Bin 0 -> 17871 bytes .../static/concepts_model06.png | Bin 0 -> 51323 bytes .../static/concepts_model07.png | Bin 0 -> 57445 bytes .../static/concepts_model08.png | Bin 0 -> 58652 bytes .../static/concepts_model09.png | Bin 0 -> 79155 bytes .../static/concepts_model10.png | Bin 0 -> 79961 bytes .../static/concepts_model11.png | Bin 0 -> 85792 bytes .../static/concepts_model12.png | Bin 0 -> 80017 bytes 13 files changed, 85 insertions(+), 12 deletions(-) create mode 100644 lectures/memory-hierarchies/static/concepts_model01.png create mode 100644 lectures/memory-hierarchies/static/concepts_model02.png create mode 100644 lectures/memory-hierarchies/static/concepts_model03.png create mode 100644 lectures/memory-hierarchies/static/concepts_model04.png create mode 100644 lectures/memory-hierarchies/static/concepts_model05.png create mode 100644 lectures/memory-hierarchies/static/concepts_model06.png create mode 100644 lectures/memory-hierarchies/static/concepts_model07.png create mode 100644 lectures/memory-hierarchies/static/concepts_model08.png create mode 100644 lectures/memory-hierarchies/static/concepts_model09.png create mode 100644 lectures/memory-hierarchies/static/concepts_model10.png create mode 100644 lectures/memory-hierarchies/static/concepts_model11.png create mode 100644 lectures/memory-hierarchies/static/concepts_model12.png diff --git a/lectures/memory-hierarchies/slides.qmd b/lectures/memory-hierarchies/slides.qmd index 59e908a..86a6990 100644 --- a/lectures/memory-hierarchies/slides.qmd +++ b/lectures/memory-hierarchies/slides.qmd @@ -173,18 +173,44 @@ Time in seconds using a 2 GB numpy array ($128 \times 128 \times 128 \times 128$ - Here just focus on latency -## Memory access time model (1/3) +## First model version + + +:::{.r-stack} + +{.fragment width=100% fragment-index=1} + +{.fragment width=100% fragment-index=2} + +{.fragment width=100% fragment-index=3} + +::: + + +## Memory access time for first version | Cache | Access Time | Hit Ratio | | ------ | ------------ | ---------- | -| $L_1$ | $T_1$ | $H_1$ | -| $L_2$ | $T_2$ | | +| Memory | $T_M$ | $H_M$ | +| Disk | $T_D$ | | - Parallel and serial requests possible +## Second model version + + +:::{.r-stack} -## Memory access time model (2/3) +{.fragment width=100% fragment-index=1} + +{.fragment width=100% fragment-index=2} + +::: + + + +## Memory access time for second version (1/2) | Cache | Access Time | Hit Ratio | | ------ | ------------ | ---------- | @@ -194,7 +220,7 @@ Time in seconds using a 2 GB numpy array ($128 \times 128 \times 128 \times 128$ -## Memory access time model (3/3) +## Memory access time for second version (2/2) - Average memory access time $T_{avg,p}$ for parallel access (processor connected to all caches) @@ -216,17 +242,25 @@ T_{avg,s} &= H_1 T_1 + ((1-H_1)\cdot H_2)\cdot(T_1+T_2)\\ -# Behind the scenes +# Processor techniques + -## Processor techniques +## Third model version - - Caching - - Prefetching - - Branch prediction +:::{.r-stack} + +{.fragment width=100% fragment-index=1} + +{.fragment width=100% fragment-index=2} + +{.fragment width=100% fragment-index=3} + +::: -## Unavailable data + +## Unavailable data (1/2) If data is not available in the current memory level @@ -234,9 +268,48 @@ If data is not available in the current memory level - cache missing (cache -> main memory) - page fault (main memory -> disk) -Miss description +## Unavailable data (2/2) + +:::{.r-stack} + +{.fragment width=100% fragment-index=1} + +{.fragment width=100% fragment-index=2} + +{.fragment width=100% fragment-index=3} + +{.fragment width=100% fragment-index=4} + +{.fragment width=100% fragment-index=5} + +::: + + + +## Available data (1/2) + +Techniques to provide data ahead of time + + - caching + - prefetching + - branch prediction + + + +## Available data (2/2) + +:::{.r-stack} + +{.fragment width=100% fragment-index=1} + +{.fragment width=100% fragment-index=2} + +{.fragment width=100% fragment-index=3} + +::: + # Visualization of memory hierarchies diff --git a/lectures/memory-hierarchies/static/concepts_model01.png b/lectures/memory-hierarchies/static/concepts_model01.png new file mode 100644 index 0000000000000000000000000000000000000000..1f1adfa89a1353dda0a0f3acc64677dbd6750318 GIT binary patch literal 18906 zcmeIabySsG_%4dNO^j_ITNE%rX%q=j%0d<>-Ki)djdX*_R#bFRBB_8hNG&?Hij;_S zg8@<kN=lz+qUSfp{r8Uh*FDFv_YjG-zHff-eBY-g_Y~#NZQ8)JfsT%D6Gi5XG9BHj 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