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hpc/GEMM/SCTL

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+Subproject commit b4349d49dd55ac28aa3d50411e0ec6b1bb782774

makefile

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-compilePdfOptions=#-interaction=nonstopmode
-compPdftex=pdflatex ${compilePdfOptions}
+compilePdfOptions=--shell-escape #-interaction=nonstopmode
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 compile= ${compPdftex}
 
 TARGET=main.pdf

outline.txt

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+Title:
+HPC for scientific computing
+Introduction to HPC
+HPC: An overview
+What Every Programmer Should Know About HPC
+The art of HPC
+
+
+
+How to address diversity of user expectation in a single talk?
+- languages, parallel paradigms, hardware, applications, HPC libraries (vendor optimized libraries)
+- performance optimization looks very different for different codes
+
+
+Plan for performance!
+
+
+
+
+Faster scientific computing:
+- Improved algorithm (FFT, FMM, n^3 vs Strassen matrix multiplication, approximations, precomputing etc.)
+- Improved hardware utilization (usually parallelism but not always - cache
+  optimization/data-locality)
+  - sometimes a work sub-optimal method may be faster because it is better at
+    utilizing the available hardware
+
+- co-design?
+
+
+Hardware architecture overview
+ - distributed
+ - shared memory  |_  NUMA, cache-lines (false-sharing)
+ - caches         |
+ - instruction-level-parallelism: pipelining, vectorization
+ - accelerators (GPUs - Wenda Zhou)
+
+Trends in HPC hardware and software
+
+Programming models for different architectures
+
+Profiling/instrumentation tools
+- sometimes need to design experiments to profile
+- perf stat (https://bluss.github.io/rust/2016/03/28/a-gemmed-rabbit-hole/)
+
+Parallelism, arithmetic intensity, roofline model, Amdahl's law
+
+strong and weak scaling
+
+Cilk, CUDA, OpenMP, Threading Building Blocks
+
+
+Effect of programming languages:
+ - interpreted
+   - slow when processing element by element
+   - but can be fast/efficient when operating on large blocks.
+   - ex. MATLAB
+ - JIT
+   - https://www.intel.com/content/www/us/en/developer/articles/technical/onemkl-improved-small-matrix-performance-using-just-in-time-jit-code.html
+   - julia
+ - low-level
+   - C/C++, FORTRAN, assembly
+
+
+
+
+Parallel debugging?
+
+
+Performance may vary across processors, compilers, operating systems:
+- but a well thought out algorithm and a well written code will generally
+  perform well
+
+
+
+
+
+
+Plot memory & latency gains with flops over last 2 decades
+- latency expensive - avoid random (unpredictable) memory accesses
+- main-memory bandwidth - reuse data in caches
+
+
+
+
+
+Give example of numa allocation, cache, conditionals, memory allocations,
+false sharing
+
+
+
+Vector libraries: Sleef, Agner Fog, HPX, Blaze
+Other libraries: Baobzi, libxsmm, Intel JIT, 
+(module avail)
+
+
+OpenMP common pitfalls
+
+
+Be roughly aware of how expensive different operations are: avoid divisions,
+exp, trig fn, other special functions.
+
+
+low-level-optimization: benchmark, benchmark, benchmark!
+
+https://www.embedded.com/common-multicore-programming-problems-part-4-memory-cache-issues-and-consistency/
+
+
+SoA / AoS
+
+
+
+
+
+gcc -march=native -E -v - </dev/null 2>&1 | grep march
+
+
+Polynomial Evaluation on Superscalar Architecture, Applied to the Elementary Function e^x
+https://dl.acm.org/doi/fullHtml/10.1145/3408893
+https://gavinreynolds.scot/docs/msc-dissertation.pdf
+
+Work-depth, work-span, work-time model, PRAM
+
+Lectures:
+https://www.cse.wustl.edu/~angelee/archive/cse341/fall14/handouts/lecture03.pdf
+
+