{ "cells": [ { "cell_type": "markdown", "id": "2133c064", "metadata": {}, "source": [ "\n", "\n", "### Programming large-scale parallel systems\n", "\n", "\n", "# All pairs of shortest paths\n" ] }, { "cell_type": "markdown", "id": "a7b64d5a", "metadata": {}, "source": [ "## Contents\n", "\n", "In this notebook, we will learn\n", "\n", "- How to parallelize Floyd's algorithm\n", "- How communication can affect the correctness of a distributed algorithm\n" ] }, { "cell_type": "markdown", "id": "ade31d26", "metadata": {}, "source": [ "## The All Pairs of Shortest Paths (ASP) problem\n", "\n", "Let us start by presenting the all pairs of shortest paths (ASP) problem and its solution with the [Floyd–Warshall algorithm](https://en.wikipedia.org/wiki/Floyd%E2%80%93Warshall_algorithm).\n", "\n", "### Problem statement\n", "\n", "- Given a graph $G$ with a distance table $C$\n", "- Compute the length of the shortest path between any two nodes in $G$\n", "\n", "We represent the distance table as a matrix, where $C_{ij}$ is the distance from node $i$ to node $j$. Next figure shows the input and solution (output) of the ASP problem for a simple 4-node directed graph. Note that the minimum distance from node 2 to node 3, which is $C_{23}=8$ as highlighted in the figure.\n" ] }, { "attachments": { "g37385.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "7605a53f", "metadata": {}, "source": [ "
\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "d9979e39", "metadata": {}, "source": [ "### Floyd's sequential algoritm\n", "\n", "The ASP problem can be solved with the [Floyd–Warshall algorithm](https://en.wikipedia.org/wiki/Floyd%E2%80%93Warshall_algorithm). A sequential implementation of this algorithm is given in the following function:" ] }, { "cell_type": "code", "execution_count": null, "id": "4fe447c5", "metadata": {}, "outputs": [], "source": [ "function floyd!(C)\n", " n = size(C,1)\n", " @assert size(C,2) == n\n", " for k in 1:n\n", " for j in 1:n\n", " for i in 1:n\n", " @inbounds C[i,j] = min(C[i,j],C[i,k]+C[k,j])\n", " end\n", " end\n", " end\n", " C\n", "end" ] }, { "cell_type": "markdown", "id": "b27707b9", "metadata": {}, "source": [ "You can check that this function computes the solution of the small ASP problem in the figure above by executing next cell. Note that we used a large number to represent that there is no direct connection between two nodes." ] }, { "cell_type": "code", "execution_count": null, "id": "860e537c", "metadata": {}, "outputs": [], "source": [ "inf = 1000\n", "C = [\n", " 0 inf inf 1\n", " 2 0 inf 9\n", " inf 3 0 inf\n", " inf inf 5 0 \n", "]\n", "floyd!(C)" ] }, { "cell_type": "markdown", "id": "b9eeb64d", "metadata": {}, "source": [ "### The algorithm explained\n", "\n", "The main idea of the algorithm is to perform as many iterations as nodes in the graph. At iteration $k$, we update the distance matrix $C$ by finding the shortest paths between each pair of nodes, allowing indirect paths via nodes from 1 to $k$. At the last iteration, it is allowed to visit all nodes and, thus, the distance table will contain the solution of the ASP problem.\n", "\n", "This process is cleverly done with three nested loops:\n", "\n", "```julia\n", "n = size(C,1)\n", "for k in 1:n\n", " for j in 1:n\n", " for i in 1:n\n", " C[i,j] = min(C[i,j],C[i,k]+C[k,j])\n", " end\n", " end\n", "end\n", "```\n", "\n", "At each outer iteration $k$, we do a loop over the distance matrix $C$. For each pair of nodes $i$ and $j$ we compare the current distance $C_{ij}$ against the distance via node $k$, namely $C_{ik}+C_{kj}$, and update $C_{ij}$ with the minimum." ] }, { "attachments": { "g42544.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "b132bccb", "metadata": {}, "source": [ "
\n", "\n", "
\n" ] }, { "cell_type": "markdown", "id": "722e330c", "metadata": {}, "source": [ "The update of the distance matrix at each iteration is illustrated in the next figure for a small ASP presented above. We highlight in green the distances that are updated in each iteration. Note that adding values to the table can be interpreted as adding new connections in the graph, as illustrated in the figure." ] }, { "attachments": { "g38106.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "50b782df", "metadata": {}, "source": [ "
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" } }, "cell_type": "markdown", "id": "eb5e46a2", "metadata": {}, "source": [ "
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" } }, "cell_type": "markdown", "id": "d02606e0", "metadata": {}, "source": [ "
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" } }, "cell_type": "markdown", "id": "0aca29d3", "metadata": {}, "source": [ "
\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "c7027ac3", "metadata": {}, "source": [ "### Serial performance\n", "\n", "This algorithm is memory bound, meaning that the main cost is in getting and setting data from the input matrix `C`. In this situations, the order in which we traverse the entries of matrix `C` has a significant performance impact.\n", "\n", "The following function computes the same result as for the previous function `floyd!`, but the nesting of loops over i and j is changed.\n" ] }, { "cell_type": "code", "execution_count": null, "id": "75cac17e", "metadata": {}, "outputs": [], "source": [ "function floyd2!(C)\n", " n = size(C,1)\n", " @assert size(C,2) == n\n", " for k in 1:n\n", " for i in 1:n\n", " for j in 1:n\n", " @inbounds C[i,j] = min(C[i,j],C[i,k]+C[k,j])\n", " end\n", " end\n", " end\n", " C\n", "end" ] }, { "cell_type": "markdown", "id": "399385e8", "metadata": {}, "source": [ " Compare the performance of both implementations (run the cell several times)." ] }, { "cell_type": "code", "execution_count": null, "id": "907bc8c9", "metadata": {}, "outputs": [], "source": [ "n = 1000\n", "C = rand(n,n)\n", "@time floyd!(C)\n", "C = rand(n,n)\n", "@time floyd2!(C);" ] }, { "cell_type": "markdown", "id": "ad811b10", "metadata": {}, "source": [ "The performance difference is significant. Matrices in Julia are stored in memory in column-major order (like in Fortran, unlike in C). It means that it is more efficient to access the data also in column-major order (like in function `floyd!`). See this section of [Julia's performance tips](https://docs.julialang.org/en/v1/manual/performance-tips/#man-performance-column-major) if you are interested in further details." ] }, { "cell_type": "markdown", "id": "0c95ea88", "metadata": {}, "source": [ "## Parallelization\n", "\n", "Now, let us move to the parallelization of the method.\n", "\n", "### Where can we exploit parallelism?\n", "\n", "Recall:\n", "\n", "```julia\n", "n = size(C,1)\n", "for k in 1:n\n", " for j in 1:n\n", " for i in 1:n\n", " C[i,j] = min(C[i,j],C[i,k]+C[k,j])\n", " end\n", " end\n", "end\n", "```\n", "\n", "- The outer loop cannot be parallelized since the operations at iteration $k$ require the result of iteration $k-1$.\n", "- The inner loops over $i$ and $j$ can be parallelized at a given iteration $k$." ] }, { "cell_type": "markdown", "id": "9a9e8c44", "metadata": {}, "source": [ "### Parallelization strategy\n", "\n", "As for the matrix-matrix product and Jacobi, any of the iterations over $i$ and $j$ are independent and could be computed on a different processor. However, we need a larger grain size for performance reason. Here, we adopt the same strategy as for algorithm 3 in the matrix-matrix product:\n", "\n", "- Each process will update a subset of consecutive rows of the distance table $C$ at each iteration $k$.\n" ] }, { "cell_type": "markdown", "id": "9eab6b5d", "metadata": {}, "source": [ "### Data dependencies\n", "\n", "Recall: we perform this update at iteration $k$:\n", "\n", "`C[i,j] = min(C[i,j],C[i,k]+C[k,j])`\n", "\n", "If each process updates a block of rows of matrix $C$, which data we need for this operation?\n" ] }, { "attachments": { "g14170.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "5cf07baf", "metadata": {}, "source": [ "
\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "db9a3294", "metadata": {}, "source": [ "At each iteration, the processor needs the input values `C[i,j]`, `C[i,k]` and `C[k,j]`. Since we split the data row-wise, the process already has values `C[i,j]` and `C[i,k]`. However, `C[k,j]` may be stored in a different process. " ] }, { "attachments": { "g12830.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "e17c5271", "metadata": {}, "source": [ "
\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "a01872ef", "metadata": {}, "source": [ "As we iterate over columns $j$, the process needs input from all values of row $k$. Therefore, at the start of iteration $k$, the whole row $k$ needs to be communicated." ] }, { "attachments": { "g12957.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "3261af17", "metadata": {}, "source": [ "
\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "9d1de618", "metadata": {}, "source": [ "In summary, at iteration $k$ a given process will need row number $k$ which might be stored remotely in another process. The owner of row $k$ needs to *broadcast* this row to the other processes at iteration $k$." ] }, { "attachments": { "g12703.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "8412a275", "metadata": {}, "source": [ "
\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "eba45ea4", "metadata": {}, "source": [ "### Efficiency" ] }, { "cell_type": "markdown", "id": "e96eda2d", "metadata": {}, "source": [ "- Each process updates $N^2/P$ entries per iteration\n", "- 1 process broadcasts a message of length $N$ to $P-1$ processes per iteration\n", "- The send cost in this process is $O(N P)$ per iteration (if we use send/receive instead of broadcast)\n", "- $P-1$ processes receive one message of length $N$ per iteration\n", "- The receive cost is $O(N)$ per iteration at each process\n", "- The send/computation ratio is $O(P^2/N)$\n", "- The receive/computation ratio is $O(P/N)$\n", "- The algorithm is potentially scalable if $P<\n", "\n", "" ] }, { "cell_type": "markdown", "id": "494aa965", "metadata": {}, "source": [ "## Parallel Implementation\n" ] }, { "cell_type": "markdown", "id": "0b451628", "metadata": {}, "source": [ "### Creating MPI workers" ] }, { "cell_type": "code", "execution_count": null, "id": "91a1cbd8", "metadata": {}, "outputs": [], "source": [ "] add MPI, MPIClusterManagers" ] }, { "cell_type": "code", "execution_count": null, "id": "6bc0122b", "metadata": {}, "outputs": [], "source": [ "using MPIClusterManagers\n", "using Distributed\n", "if procs() == workers()\n", " nranks = 3\n", " manager = MPIWorkerManager(nranks)\n", " addprocs(manager)\n", " @everywhere using MPI; MPI.Init()\n", "end" ] }, { "cell_type": "markdown", "id": "680e56cf", "metadata": {}, "source": [ "### Code\n", "\n", "We split the code in two functions. The first function is called on the main process (the process running this notebook). It splits the input matrix into blocks of rows. Then, we call `floyd_worker!` (see below) remotely on each worker using the corresponding block of rows.\n" ] }, { "cell_type": "code", "execution_count": null, "id": "22234b2f", "metadata": {}, "outputs": [], "source": [ "function floyd_dist!(C)\n", " m = size(C,1)\n", " @assert mod(m,nworkers()) == 0\n", " nrows_w = div(m,nworkers())\n", " @sync for (i,w) in enumerate(workers())\n", " rows_w = (1:nrows_w) .+ (i-1)*nrows_w\n", " Cw = C[rows_w,:]\n", " @async C[rows_w,:] = remotecall_fetch(floyd_worker!,w,Cw,rows_w)\n", " end\n", " C\n", "end" ] }, { "cell_type": "markdown", "id": "9fc3be11", "metadata": {}, "source": [ "The second function is the one run on the workers. Note that we considered MPI for communication in this case." ] }, { "cell_type": "code", "execution_count": null, "id": "d5a8d3a8", "metadata": {}, "outputs": [], "source": [ "@everywhere function floyd_worker!(Cw,rows_w)\n", " comm = MPI.Comm_dup(MPI.COMM_WORLD)\n", " rank = MPI.Comm_rank(comm)\n", " nranks = MPI.Comm_size(comm)\n", " m,n = size(Cw)\n", " C_k = similar(Cw,n)\n", " for k in 1:n\n", " if k in rows_w\n", " myk = (k-first(rows_w))+1\n", " C_k .= view(Cw,myk,:)\n", " for proc in 0:(nranks-1)\n", " if rank == proc\n", " continue\n", " end\n", " MPI.Send(C_k,comm;dest=proc,tag=0)\n", " end\n", " else\n", " MPI.Recv!(C_k,comm,source=MPI.ANY_SOURCE,tag=0)\n", " end\n", " for j in 1:n\n", " for i in 1:m\n", " @inbounds Cw[i,j] = min(Cw[i,j],Cw[i,k]+C_k[j])\n", " end\n", " end\n", " end\n", " Cw\n", "end" ] }, { "cell_type": "markdown", "id": "c624722a", "metadata": {}, "source": [ "### Testing the implementation" ] }, { "cell_type": "code", "execution_count": null, "id": "09937668", "metadata": {}, "outputs": [], "source": [ "function rand_distance_table(n)\n", " threshold = 0.4\n", " mincost = 3\n", " maxcost = 10\n", " infinity = 10000*maxcost\n", " C = fill(infinity,n,n)\n", " for j in 1:n\n", " for i in 1:n\n", " if rand() > threshold\n", " C[i,j] = rand(mincost:maxcost)\n", " end\n", " end\n", " C[j,j] = 0\n", " end\n", " C\n", "end" ] }, { "cell_type": "code", "execution_count": null, "id": "dd77ee3d", "metadata": {}, "outputs": [], "source": [ "using Test\n", "load = 10\n", "n = nworkers()*load\n", "C = rand_distance_table(n)\n", "C_seq = floyd!(copy(C))\n", "C_par = floyd_dist!(copy(C))\n", "@test C_seq == C_par" ] }, { "cell_type": "markdown", "id": "91a772df", "metadata": {}, "source": [ "### Is this implementation correct?\n", "\n", "- Point-to-point messages are *non-overtaking* (i.e. FIFO order) according to section 3.5 of the MPI standard 4.0\n", "\n", "- Unfortunately this is not enough in this case" ] }, { "cell_type": "markdown", "id": "1277772d", "metadata": {}, "source": [ "If we are lucky all messages will arrive in order and we will process all rows in the right order in all processors." ] }, { "attachments": { "g33659.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "f84ef616", "metadata": {}, "source": [ "
\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "df60e4e7", "metadata": {}, "source": [ "However, FIFO ordering is not enough. In the next figure communication between process 1 and process 3 is particularly slow. Note that process 3 receives messages from process 1 after the messages received from 2 even though FIFO order is satisfied between any two processors." ] }, { "attachments": { "g33721.png": { "image/png": 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" } }, "cell_type": "markdown", "id": "bdae65f8", "metadata": {}, "source": [ "
\n", "\n", "
" ] }, { "cell_type": "markdown", "id": "86534783", "metadata": {}, "source": [ "### Possible solutions\n", "\n", "- Use synchronous send MPI_SSEND (less efficient). Note that the blocking send MPI_SEND used above does not guarantee that the message was received.\n", "- Barrier at the end of each iteration over $k$ (simple solution, but synchronization overhead)\n", "- Order incoming messages (buffering and extra user code needed)\n", "- Use a specific rank id instead of `MPI.ANY_SOURCE` or use `MPI.Bcast!` (one needs to know which are the rows owned by the other ranks)" ] }, { "cell_type": "markdown", "id": "c789dc7a", "metadata": {}, "source": [ "# License\n", "\n", "\n", "\n", "This notebook is part of the course [Programming Large Scale Parallel Systems](https://www.francescverdugo.com/XM_40017) at Vrije Universiteit Amsterdam and may be used under a [CC BY 4.0](https://creativecommons.org/licenses/by/4.0/) license." ] } ], "metadata": { "kernelspec": { "display_name": "Julia 1.9.0", "language": "julia", "name": "julia-1.9" }, "language_info": { "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", "version": "1.9.0" } }, "nbformat": 4, "nbformat_minor": 5 }