From 559cefd8f4514a0161656963a14f7b18f2d95316 Mon Sep 17 00:00:00 2001 From: Francesc Verdugo Date: Wed, 13 Sep 2023 11:25:06 +0200 Subject: [PATCH 1/5] More work in tsp --- notebooks/tsp.ipynb | 789 +++++++++++++++++++++++++++++++++++++++++--- 1 file changed, 748 insertions(+), 41 deletions(-) diff --git a/notebooks/tsp.ipynb b/notebooks/tsp.ipynb index f089164..7f6489b 100644 --- a/notebooks/tsp.ipynb +++ b/notebooks/tsp.ipynb @@ -154,15 +154,44 @@ }, { "cell_type": "markdown", - "id": "40027c85", + "id": "f2b70f85", "metadata": {}, "source": [ - "### Input distance" + "### Nearest-city first heuristic" ] }, { "cell_type": "code", - "execution_count": 1, + "execution_count": 2, + "id": "a50706bc", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "sort_neighbors (generic function with 1 method)" + ] + }, + "execution_count": 2, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "function sort_neighbors(C)\n", + " n = size(C,1)\n", + " map(1:n) do i\n", + " Ci = C[i,:]\n", + " cities = sortperm(Ci)\n", + " distances = Ci[cities]\n", + " collect(zip(cities,distances))\n", + " end\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 5, "id": "2eeecdd6", "metadata": {}, "outputs": [ @@ -176,7 +205,7 @@ " 2 1 3 0" ] }, - "execution_count": 1, + "execution_count": 5, "metadata": {}, "output_type": "execute_result" } @@ -192,114 +221,730 @@ }, { "cell_type": "code", - "execution_count": 24, - "id": "03cac0a1", + "execution_count": 6, + "id": "6dd0288e", "metadata": {}, "outputs": [ { "data": { "text/plain": [ "4-element Vector{Vector{Tuple{Int64, Int64}}}:\n", - " [(1, 0), (2, 2), (3, 3), (4, 4)]\n", - " [(2, 0), (4, 1), (1, 2), (3, 3)]\n", - " [(3, 0), (1, 3), (2, 3), (4, 10)]\n", - " [(4, 0), (2, 1), (1, 4), (3, 10)]" + " [(1, 0), (2, 2), (4, 2), (3, 3)]\n", + " [(2, 0), (4, 1), (1, 2), (3, 4)]\n", + " [(3, 0), (1, 3), (4, 3), (2, 4)]\n", + " [(4, 0), (2, 1), (1, 2), (3, 3)]" ] }, - "execution_count": 24, + "execution_count": 6, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "C = [\n", - " [(1,0), (2,2), (3,3), (4,4)],\n", - " [(2,0), (4,1), (1,2), (3,3)],\n", - " [(3,0), (1,3), (2,3), (4,10)], \n", - " [(4,0), (2,1), (1,4), (3,10)]\n", - "]" + "C_sorted = sort_neighbors(C)" + ] + }, + { + "cell_type": "code", + "execution_count": 7, + "id": "00608e1d", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "4-element Vector{Tuple{Int64, Int64}}:\n", + " (3, 0)\n", + " (1, 3)\n", + " (4, 3)\n", + " (2, 4)" + ] + }, + "execution_count": 7, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "city = 3\n", + "C_sorted[city]" + ] + }, + { + "attachments": { + "g25091.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "53c102ea", + "metadata": {}, + "source": [ + "
\n", + "\n", + "
" ] }, { "cell_type": "markdown", - "id": "f2b70f85", + "id": "4f8cf018", "metadata": {}, "source": [ - "### Nearest-city first heuristic" + "### Loop over all paths" ] }, { "cell_type": "code", - "execution_count": 2, - "id": "a50706bc", + "execution_count": 8, + "id": "e6125bab", "metadata": {}, "outputs": [ { "data": { "text/plain": [ - "sort_neighbors (generic function with 1 method)" + "visital_all_paths_recursive! (generic function with 1 method)" ] }, - "execution_count": 2, + "execution_count": 8, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "function sort_neighbors(C)\n", - " n = size(C,1)\n", - " map(1:n) do i\n", - " Ci = C[i,:]\n", - " cities = sortperm(Ci)\n", - " distances = Ci[cities]\n", - " collect(zip(cities,distances))[2:end]\n", + "function visital_all_paths(C_sorted,city)\n", + " num_cities = length(C_sorted)\n", + " path=zeros(Int,num_cities)\n", + " hops = 1\n", + " path[hops] = city\n", + " visital_all_paths_recursive!(C_sorted,hops,path)\n", + "end\n", + "function visital_all_paths_recursive!(C_sorted,hops,path)\n", + " num_cities = length(C_sorted)\n", + " if hops != num_cities\n", + " city = path[hops]\n", + " connections = C_sorted[city]\n", + " next_hops = hops + 1\n", + " for (next_city,distance_increment) in connections\n", + " already_visited = (next_city in view(path,1:hops))\n", + " if ! already_visited\n", + " path[next_hops] = next_city\n", + " visital_all_paths_recursive!(C_sorted,next_hops,path)\n", + " end\n", + " end\n", + " return nothing\n", + " else\n", + " @show path\n", + " return nothing\n", " end\n", "end" ] }, { "cell_type": "code", - "execution_count": null, - "id": "6dd0288e", + "execution_count": 9, + "id": "723a0f1a", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "path = [1, 2, 4, 3]\n", + "path = [1, 2, 3, 4]\n", + "path = [1, 4, 2, 3]\n", + "path = [1, 4, 3, 2]\n", + "path = [1, 3, 4, 2]\n", + "path = [1, 3, 2, 4]\n" + ] + } + ], + "source": [ + "city = 1\n", + "visital_all_paths(C_sorted,city)" + ] + }, + { + "attachments": { + "g25091.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "8cbc8597", + "metadata": {}, + "source": [ + "
\n", + "\n", + "
" + ] + }, + { + "cell_type": "markdown", + "id": "65e654df", + "metadata": {}, + "source": [ + "### Serial implementation without pruning" + ] + }, + { + "cell_type": "code", + "execution_count": 10, + "id": "cfa159a0", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tsp_serial_no_prune_recursive! (generic function with 1 method)" + ] + }, + "execution_count": 10, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "function tsp_serial_no_prune(C_sorted,city)\n", + " num_cities = length(C_sorted)\n", + " path=zeros(Int,num_cities)\n", + " hops = 1\n", + " path[hops] = city\n", + " distance=0\n", + " min_distance = typemax(Int)\n", + " tsp_serial_no_prune_recursive!(C_sorted,hops,path,distance,min_distance)\n", + "end\n", + "function tsp_serial_no_prune_recursive!(C_sorted,hops,path,distance,min_distance)\n", + " num_cities = length(C_sorted)\n", + " if hops != num_cities\n", + " city = path[hops]\n", + " connections = C_sorted[city]\n", + " next_hops = hops + 1\n", + " for (next_city,distance_increment) in connections\n", + " already_visited = (next_city in view(path,1:hops))\n", + " if ! already_visited\n", + " next_distance = distance + distance_increment\n", + " path[next_hops] = next_city\n", + " min_distance = tsp_serial_no_prune_recursive!(\n", + " C_sorted,next_hops,path,next_distance,min_distance)\n", + " end\n", + " end\n", + " return min_distance\n", + " else\n", + " min_distance = min(distance,min_distance)\n", + " #@show path, distance, min_distance\n", + " return min_distance\n", + " end\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 11, + "id": "d1be2bfc", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "6" + ] + }, + "execution_count": 11, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "city = 1\n", + "min_distance = tsp_serial_no_prune(C_sorted,city)" + ] + }, + { + "cell_type": "markdown", + "id": "3c160cf9", + "metadata": {}, + "source": [ + "### Final serial implementation" + ] + }, + { + "cell_type": "code", + "execution_count": 13, + "id": "d76d49de", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "tsp_serial_recursive! (generic function with 1 method)" + ] + }, + "execution_count": 13, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "function tsp_serial(C_sorted,city)\n", + " num_cities = length(C_sorted)\n", + " path=zeros(Int,num_cities)\n", + " hops = 1\n", + " path[hops] = city\n", + " distance=0\n", + " min_distance = typemax(Int)\n", + " tsp_serial_recursive!(C_sorted,hops,path,distance,min_distance)\n", + "end\n", + "function tsp_serial_recursive!(C_sorted,hops,path,distance,min_distance)\n", + " if distance >= min_distance\n", + " return min_distance\n", + " end\n", + " num_cities = length(C_sorted)\n", + " if hops != num_cities\n", + " city = path[hops]\n", + " connections = C_sorted[city]\n", + " next_hops = hops + 1\n", + " for (next_city,distance_increment) in connections\n", + " already_visited = (next_city in view(path,1:hops))\n", + " if ! already_visited\n", + " next_distance = distance + distance_increment\n", + " path[next_hops] = next_city\n", + " min_distance = tsp_serial_recursive!(\n", + " C_sorted,next_hops,path,next_distance,min_distance)\n", + " end\n", + " end\n", + " return min_distance\n", + " else\n", + " min_distance = min(distance,min_distance)\n", + " #@show path, distance, min_distance\n", + " return min_distance\n", + " end\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 14, + "id": "998087f2", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "6" + ] + }, + "execution_count": 14, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "city = 1\n", + "min_distance = tsp_serial(C_sorted,city)" + ] + }, + { + "cell_type": "markdown", + "id": "7f0a5d5c", + "metadata": {}, + "source": [ + "### Performance" + ] + }, + { + "cell_type": "code", + "execution_count": 33, + "id": "e1eb74d8", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + " 1.286362 seconds (1 allocation: 144 bytes)\n", + " 0.002820 seconds (1 allocation: 144 bytes)\n" + ] + }, + { + "data": { + "text/plain": [ + "22" + ] + }, + "execution_count": 33, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "n = 11\n", + "using Random\n", + "Random.seed!(1)\n", + "C = rand(1:10,n,n)\n", + "C_sorted = sort_neighbors(C)\n", + "city = 1\n", + "@time tsp_serial_no_prune(C_sorted,city)\n", + "@time tsp_serial(C_sorted,city)" + ] + }, + { + "cell_type": "markdown", + "id": "733ce76e", + "metadata": {}, + "source": [ + "## Parallel implementation" + ] + }, + { + "cell_type": "code", + "execution_count": 34, + "id": "354f5abb", + "metadata": {}, + "outputs": [], + "source": [ + "using Distributed" + ] + }, + { + "cell_type": "code", + "execution_count": 35, + "id": "7f8f6702", + "metadata": {}, + "outputs": [ + { + "data": { + "text/plain": [ + "3-element Vector{Int64}:\n", + " 2\n", + " 3\n", + " 4" + ] + }, + "execution_count": 35, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "if workers() == procs()\n", + " addprocs(3)\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 36, + "id": "5c0603a1", "metadata": {}, "outputs": [], "source": [ - "connections = sort_neighbors(C)" + "function enumerate_paths_dist(C_sorted,city,max_hops)\n", + " T = typeof((0,Int[]))\n", + " jobs_chnl = RemoteChannel(()->Channel{T}(1))\n", + " @sync begin\n", + " for w in workers()\n", + " @spawnat w consume_jobs(C_sorted,jobs_chnl)\n", + " end\n", + " generate_jobs(C_sorted,city,max_hops,jobs_chnl)\n", + " end\n", + "end\n", + "function generate_jobs(C_sorted,city,max_hops,jobs_chnl)\n", + " num_cities = length(C_sorted)\n", + " path=zeros(Int,num_cities)\n", + " hops = 1\n", + " path[hops] = city\n", + " generate_jobs_recursive(C_sorted,hops,path,max_hops,jobs_chnl)\n", + " for w in workers()\n", + " put!(jobs_chnl,(0,Int[]))\n", + " end\n", + " close(jobs_chnl)\n", + "end\n", + "function generate_jobs_recursive(C_sorted,hops,path,max_hops,jobs_chnl)\n", + " num_cities = length(C_sorted)\n", + " if hops == max_hops\n", + " @show path\n", + " put!(jobs_chnl,(hops,copy(path)))\n", + " return nothing\n", + " else\n", + " city = path[hops]\n", + " connections = C_sorted[city]\n", + " next_hops = hops + 1\n", + " for (next_city,distance_increment) in connections\n", + " already_visited = (next_city in view(path,1:hops))\n", + " if ! already_visited\n", + " path[next_hops] = next_city\n", + " generate_jobs_recursive(C_sorted,next_hops,path,max_hops,jobs_chnl)\n", + " end\n", + " end\n", + " return nothing\n", + " end\n", + "end\n", + "@everywhere function consume_jobs(C_sorted,jobs_chnl)\n", + " while true\n", + " hops,path = take!(jobs_chnl)\n", + " if hops == 0\n", + " println(\"Done!\")\n", + " break\n", + " end\n", + " consume_jobs_recursive(C_sorted,hops,path)\n", + " end\n", + "end\n", + "@everywhere function consume_jobs_recursive(C_sorted,hops,path)\n", + " num_cities = length(C_sorted)\n", + " if hops != num_cities\n", + " city = path[hops]\n", + " connections = C_sorted[city]\n", + " next_hops = hops + 1\n", + " for (next_city,distance_increment) in connections\n", + " already_visited = (next_city in view(path,1:hops))\n", + " if ! already_visited\n", + " path[next_hops] = next_city\n", + " consume_jobs_recursive(C_sorted,next_hops,path)\n", + " end\n", + " end\n", + " return nothing\n", + " else\n", + " @show path\n", + " return nothing\n", + " end\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 40, + "id": "f6e9565c", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "path = [1, 2, 0, 0]\n", + "path = [1, 4, 0, 0]\n", + "path = [1, 3, 0, 0]\n", + " From worker 2:\tpath = [1, 2, 4, 3]\n", + " From worker 4:\tpath = [1, 3, 4, 2]\n", + " From worker 3:\tpath = [1, 4, 2, 3]\n", + " From worker 3:\tpath = [1, 4, 3, 2]\n", + " From worker 2:\tpath = [1, 2, 3, 4]\n", + " From worker 4:\tpath = [1, 3, 2, 4]\n", + " From worker 2:\tDone!\n", + " From worker 4:\tDone!\n", + " From worker 3:\tDone!\n" + ] + } + ], + "source": [ + "C = [\n", + " 0 2 3 2\n", + " 2 0 4 1\n", + " 3 4 0 3\n", + " 2 1 3 0 \n", + "]\n", + "C_sorted = sort_neighbors(C)\n", + "city = 1\n", + "max_hops = 2\n", + "min_distance = enumerate_paths_dist(C_sorted,city,max_hops)" ] }, { "cell_type": "markdown", - "id": "4f8cf018", + "id": "cb3457f7", "metadata": {}, "source": [ - "### Implementation" + "### How to track the global minimum distance?" ] }, { "cell_type": "code", - "execution_count": 25, - "id": "d00beaba", + "execution_count": 42, + "id": "364a51fa", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ - "(path, distance, min_distance) = ([1, 2, 4, 3], 13, 13)\n", - "(path, distance, min_distance) = ([1, 3, 2, 4], 7, 7)\n" + " From worker 3:\tmin_distance = 9223372036854775807\n", + " From worker 3:\tdistance = 9\n", + " From worker 4:\tmin_distance = 9\n", + " From worker 4:\tdistance = 6\n", + " From worker 2:\tmin_distance = 6\n", + " From worker 2:\tdistance = 6\n", + "min_distance = 6\n" + ] + } + ], + "source": [ + "buffer = 1 # very important\n", + "min_distance_chnl = RemoteChannel(()->Channel{Int}(buffer))\n", + "put!(min_distance_chnl,typemax(Int))\n", + "@sync for w in workers()\n", + " @spawnat w begin\n", + " sleep(rand(1:3))\n", + " min_distance = take!(min_distance_chnl)\n", + " @show min_distance\n", + " distance = rand(5:10)\n", + " min_distance = min(distance,min_distance)\n", + " @show distance\n", + " put!(min_distance_chnl,min_distance)\n", + " end\n", + "end\n", + "min_distance = take!(min_distance_chnl)\n", + "@show min_distance\n", + "close(min_distance_chnl)" + ] + }, + { + "cell_type": "markdown", + "id": "a1d20178", + "metadata": {}, + "source": [ + "### Final parallel implementation" + ] + }, + { + "cell_type": "code", + "execution_count": 44, + "id": "96c649b7", + "metadata": {}, + "outputs": [], + "source": [ + "function tsp_dist(C_sorted,city,max_hops)\n", + " T = typeof((0,Int[],0))\n", + " jobs_chnl = RemoteChannel(()->Channel{T}(1))\n", + " min_distance_chnl = RemoteChannel(()->Channel{Int}(1))\n", + " put!(min_distance_chnl,typemax(Int))\n", + " @sync begin\n", + " for w in workers()\n", + " @spawnat w consume_jobs(C_sorted,jobs_chnl,min_distance_chnl)\n", + " end\n", + " generate_jobs(C_sorted,city,max_hops,jobs_chnl)\n", + " end\n", + " min_distance = take!(min_distance_chnl)\n", + " close(min_distance_chnl)\n", + " return min_distance\n", + "end\n", + "function generate_jobs(C_sorted,city,max_hops,jobs_chnl)\n", + " num_cities = length(C_sorted)\n", + " path=zeros(Int,num_cities)\n", + " hops = 1\n", + " path[hops] = city\n", + " distance = 0\n", + " generate_jobs_recursive(C_sorted,hops,path,max_hops,jobs_chnl,distance)\n", + " for w in workers()\n", + " put!(jobs_chnl,(0,Int[],0))\n", + " end\n", + " close(jobs_chnl)\n", + "end\n", + "function generate_jobs_recursive(C_sorted,hops,path,max_hops,jobs_chnl,distance)\n", + " num_cities = length(C_sorted)\n", + " if hops == max_hops\n", + " @show path, distance\n", + " put!(jobs_chnl,(hops,copy(path),distance))\n", + " return nothing\n", + " else\n", + " city = path[hops]\n", + " connections = C_sorted[city]\n", + " next_hops = hops + 1\n", + " for (next_city,distance_increment) in connections\n", + " already_visited = (next_city in view(path,1:hops))\n", + " next_distance = distance + distance_increment\n", + " if ! already_visited\n", + " path[next_hops] = next_city\n", + " generate_jobs_recursive(\n", + " C_sorted,next_hops,path,max_hops,jobs_chnl,next_distance)\n", + " end\n", + " end\n", + " return nothing\n", + " end\n", + "end\n", + "@everywhere function consume_jobs(C_sorted,jobs_chnl,min_distance_chnl)\n", + " while true\n", + " hops,path,distance = take!(jobs_chnl)\n", + " if hops == 0\n", + " println(\"Done!\")\n", + " break\n", + " end\n", + " min_distance = take!(min_distance_chnl)\n", + " put!(min_distance_chnl,min_distance)\n", + " consume_jobs_recursive(C_sorted,hops,path,min_distance_chnl,distance,min_distance)\n", + " end\n", + "end\n", + "@everywhere function consume_jobs_recursive(C_sorted,hops,path,min_distance_chnl,distance,min_distance)\n", + " if distance >= min_distance\n", + " return min_distance\n", + " end\n", + " num_cities = length(C_sorted)\n", + " if hops != num_cities\n", + " city = path[hops]\n", + " connections = C_sorted[city]\n", + " next_hops = hops + 1\n", + " for (next_city,distance_increment) in connections\n", + " already_visited = (next_city in view(path,1:hops))\n", + " next_distance = distance + distance_increment\n", + " if ! already_visited\n", + " path[next_hops] = next_city\n", + " min_distance = consume_jobs_recursive(\n", + " C_sorted,next_hops,path,min_distance_chnl,next_distance,min_distance)\n", + " end\n", + " end\n", + " return min_distance\n", + " else\n", + " min_distance = take!(min_distance_chnl)\n", + " min_distance = min(min_distance,distance)\n", + " put!(min_distance_chnl,min_distance)\n", + " @show path, distance, min_distance\n", + " return min_distance\n", + " end\n", + "end" + ] + }, + { + "cell_type": "code", + "execution_count": 50, + "id": "dfa18d93", + "metadata": {}, + "outputs": [ + { + "name": "stdout", + "output_type": "stream", + "text": [ + "(path, distance) = ([1, 2, 0, 0], 2)\n", + "(path, distance) = ([1, 4, 0, 0], 2)\n", + "(path, distance) = ([1, 3, 0, 0], 3)\n", + " From worker 3:\t(path, distance, min_distance) = ([1, 3, 4, 2], 7, 7)\n", + " From worker 2:\t(path, distance, min_distance) = ([1, 2, 4, 3], 6, 6)\n", + " From worker 3:\tDone!\n", + " From worker 4:\t(path, distance, min_distance) = ([1, 4, 2, 3], 7, 6)\n", + " From worker 2:\tDone!\n", + " From worker 4:\tDone!\n" ] }, { "data": { "text/plain": [ - "7" + "6" ] }, - "execution_count": 25, + "execution_count": 50, "metadata": {}, "output_type": "execute_result" } ], + "source": [ + "city = 1\n", + "max_hops = 2\n", + "min_distance = tsp_dist(C_sorted,city,max_hops)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d00beaba", + "metadata": {}, + "outputs": [], "source": [ "function tsp_serial(C,city)\n", " #connections = sort_neighbors(C)\n", @@ -517,12 +1162,74 @@ "metadata": {}, "source": [] }, + { + "cell_type": "code", + "execution_count": null, + "id": "03cac0a1", + "metadata": {}, + "outputs": [], + "source": [ + "C = [\n", + " [(1,0), (2,2), (3,3), (4,4)],\n", + " [(2,0), (4,1), (1,2), (3,3)],\n", + " [(3,0), (1,3), (2,3), (4,10)], \n", + " [(4,0), (2,1), (1,4), (3,10)]\n", + "]" + ] + }, { "cell_type": "markdown", "id": "88b90b22", "metadata": {}, "source": [] }, + { + "cell_type": "markdown", + "id": "a66fc73f", + "metadata": {}, + "source": [ + "### Visit all possible paths and compute their distance" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "59d245bf", + "metadata": {}, + "outputs": [], + "source": [ + "function compute_distances(C_sorted,city)\n", + " num_cities = length(C_sorted)\n", + " path=zeros(Int,num_cities)\n", + " hops = 1\n", + " path[hops] = city\n", + " distance=0\n", + " compute_distances_recursive!(C_sorted,hops,path,distance)\n", + "end\n", + "function compute_distances_recursive!(C_sorted,hops,path,distance)\n", + " num_cities = length(C_sorted)\n", + " if hops != num_cities\n", + " city = path[hops]\n", + " connections = C_sorted[city]\n", + " next_hops = hops + 1\n", + " for (next_city,distance_increment) in connections\n", + " already_visited = (next_city in view(path,1:hops))\n", + " if ! already_visited\n", + " next_distance = distance + distance_increment\n", + " path[next_hops] = next_city\n", + " compute_distances_recursive!(C_sorted,next_hops,path,next_distance)\n", + " end\n", + " end\n", + " return nothing\n", + " else\n", + " @show path, distance\n", + " return nothing\n", + " end\n", + "end\n", + "city = 1\n", + "compute_distances(C_sorted,city)" + ] + }, { "cell_type": "code", "execution_count": null, From 6011c99cb8e1c2d48db6c5067b37fe60f155e69a Mon Sep 17 00:00:00 2001 From: Francesc Verdugo Date: Wed, 13 Sep 2023 11:27:55 +0200 Subject: [PATCH 2/5] More work on TSP --- notebooks/tsp.ipynb | 454 +------------------------------------------- 1 file changed, 9 insertions(+), 445 deletions(-) diff --git a/notebooks/tsp.ipynb b/notebooks/tsp.ipynb index 7f6489b..9adb799 100644 --- a/notebooks/tsp.ipynb +++ b/notebooks/tsp.ipynb @@ -277,7 +277,7 @@ } }, "cell_type": "markdown", - "id": "53c102ea", + "id": "bc74f262", "metadata": {}, "source": [ "
\n", @@ -296,7 +296,7 @@ { "cell_type": "code", "execution_count": 8, - "id": "e6125bab", + "id": "0fdba520", "metadata": {}, "outputs": [ { @@ -389,7 +389,7 @@ { "cell_type": "code", "execution_count": 10, - "id": "cfa159a0", + "id": "7d154cb4", "metadata": {}, "outputs": [ { @@ -470,7 +470,7 @@ { "cell_type": "code", "execution_count": 13, - "id": "d76d49de", + "id": "1bce8f5e", "metadata": {}, "outputs": [ { @@ -713,7 +713,7 @@ { "cell_type": "code", "execution_count": 40, - "id": "f6e9565c", + "id": "67329b25", "metadata": {}, "outputs": [ { @@ -750,7 +750,7 @@ }, { "cell_type": "markdown", - "id": "cb3457f7", + "id": "dba41fa8", "metadata": {}, "source": [ "### How to track the global minimum distance?" @@ -759,7 +759,7 @@ { "cell_type": "code", "execution_count": 42, - "id": "364a51fa", + "id": "0753e669", "metadata": {}, "outputs": [ { @@ -798,7 +798,7 @@ }, { "cell_type": "markdown", - "id": "a1d20178", + "id": "d6051b8e", "metadata": {}, "source": [ "### Final parallel implementation" @@ -904,7 +904,7 @@ { "cell_type": "code", "execution_count": 50, - "id": "dfa18d93", + "id": "e49242bb", "metadata": {}, "outputs": [ { @@ -938,442 +938,6 @@ "max_hops = 2\n", "min_distance = tsp_dist(C_sorted,city,max_hops)" ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d00beaba", - "metadata": {}, - "outputs": [], - "source": [ - "function tsp_serial(C,city)\n", - " #connections = sort_neighbors(C)\n", - " num_cities = length(connections)\n", - " path=zeros(Int,num_cities)\n", - " hops = 1\n", - " path[hops] = city\n", - " distance = 0\n", - " min_distance = typemax(Int)\n", - " tsp_serial_recursive!(connections,hops,path,distance,min_distance)\n", - "end\n", - "function tsp_serial_recursive!(connections,hops,path,distance,min_distance)\n", - " num_cities = length(connections)\n", - " if hops == num_cities\n", - " min_distance = min(distance,min_distance)\n", - " @show path, distance, min_distance\n", - " return min_distance\n", - " else\n", - " next_hops = hops + 1\n", - " current_city = path[hops]\n", - " for (next_city,distance_increment) in connections[current_city]\n", - " if !visited(next_city,hops,path)\n", - " next_distance = distance + distance_increment\n", - " path[next_hops] = next_city\n", - " if next_distance < min_distance\n", - " min_distance = tsp_serial_recursive!(connections,next_hops,path,next_distance,min_distance)\n", - " end\n", - " end\n", - " end \n", - " end\n", - " return min_distance\n", - "end\n", - "function visited(city,hops,path)\n", - " for i = 1:hops\n", - " if path[i] == city\n", - " return true\n", - " end\n", - " end\n", - " return false\n", - "end\n", - "\n", - "city = 1\n", - "tsp_serial(C,city)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "505e00f7", - "metadata": {}, - "outputs": [], - "source": [ - "function tsp_serial(C,city)\n", - " connections = sort_neighbors(C)\n", - " num_cities = length(connections)\n", - " current_route = (;path=zeros(Int,num_cities),distance=Ref(0))\n", - " min_route = (;path=zeros(Int,num_cities),distance=Ref(typemax(Int)))\n", - " hops = 1\n", - " current_route.path[hops] = city\n", - " tsp_serial_recursive!(connections,hops,current_route,min_route)\n", - " min_route\n", - "end\n", - "function tsp_serial_recursive(connections,hops,current_route,min_route)\n", - " num_cities = length(connections)\n", - " if hops == num_cities\n", - " if current_route.distance < min_route.distance\n", - " min_route.path .= current_route.path\n", - " min_route.distance[] = current_route.distance \n", - " return\n", - " end\n", - " else\n", - " next_hops = hops + 1\n", - " current_city = current_route.path[hops]\n", - " for (next_city,distance_increment) in connections[current_city]\n", - " if !visited(next_city,hops,current_route.path)\n", - " \n", - " next_distance = current_distance + distance_increment\n", - " \n", - " if next_distance < min_distance\n", - " return tsp_serial_recursive(connections,hops+1,current_route,min_route)\n", - " end\n", - " end\n", - " end \n", - " end\n", - " min_distance\n", - "end\n", - "\n", - "function visited(city,hops,path)\n", - " for i = 1:hops\n", - " if path[i] == city\n", - " return true\n", - " end\n", - " end\n", - " return false\n", - "end\n", - "\n", - "city = 1\n", - "tsp_serial(C,city)" - ] - }, - { - "cell_type": "markdown", - "id": "94d8193f", - "metadata": {}, - "source": [ - "### Generating some test data\n", - "\n", - "The following function generates a random symmetric distance matrix, we have used a large. Note that the TSP problem at least requires that the underlying graph is connected (otherwise there is no route that visits all nodes). The next function does not guarantee this. In any case, we can still used a non-connected graph as input. The outcome of the search will be that there is no possible route." - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "88fc4499", - "metadata": {}, - "outputs": [], - "source": [ - "function rand_symmetric_distance_table(n)\n", - " threshold = 0.2\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:j\n", - " if rand() > threshold\n", - " C[i,j] = rand(mincost:maxcost)\n", - " C[j,i] = C[i,j]\n", - " end\n", - " end\n", - " C[j,j] = 0\n", - " end\n", - " C,infinity\n", - "end" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "d649cf80", - "metadata": {}, - "outputs": [], - "source": [ - "n = 10000\n", - "C, inf = rand_symmetric_distance_table(n)\n", - "city = 1\n", - "(;path,distance) = tsp_serial(C,city)\n", - "if distance >= inf\n", - " println(\"The input graph is nonconnected\")\n", - "else\n", - " (;path,distance)\n", - "end" - ] - }, - { - "attachments": { - "g23360.png": { - "image/png": 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" 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" 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" - } - }, - "cell_type": "markdown", - "id": "c8f723c4", - "metadata": {}, - "source": [ - "
\n", - "\n", - "
" - ] - }, - { - "cell_type": "markdown", - "id": "6f8100ad", - "metadata": {}, - "source": [] - }, - { - "cell_type": "markdown", - "id": "bef63110", - "metadata": {}, - "source": [] - }, - { - "cell_type": "markdown", - "id": "9f66ca90", - "metadata": {}, - "source": [] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "03cac0a1", - "metadata": {}, - "outputs": [], - "source": [ - "C = [\n", - " [(1,0), (2,2), (3,3), (4,4)],\n", - " [(2,0), (4,1), (1,2), (3,3)],\n", - " [(3,0), (1,3), (2,3), (4,10)], \n", - " [(4,0), (2,1), (1,4), (3,10)]\n", - "]" - ] - }, - { - "cell_type": "markdown", - "id": "88b90b22", - "metadata": {}, - "source": [] - }, - { - "cell_type": "markdown", - "id": "a66fc73f", - "metadata": {}, - "source": [ - "### Visit all possible paths and compute their distance" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "59d245bf", - "metadata": {}, - "outputs": [], - "source": [ - "function compute_distances(C_sorted,city)\n", - " num_cities = length(C_sorted)\n", - " path=zeros(Int,num_cities)\n", - " hops = 1\n", - " path[hops] = city\n", - " distance=0\n", - " compute_distances_recursive!(C_sorted,hops,path,distance)\n", - "end\n", - "function compute_distances_recursive!(C_sorted,hops,path,distance)\n", - " num_cities = length(C_sorted)\n", - " if hops != num_cities\n", - " city = path[hops]\n", - " connections = C_sorted[city]\n", - " next_hops = hops + 1\n", - " for (next_city,distance_increment) in connections\n", - " already_visited = (next_city in view(path,1:hops))\n", - " if ! already_visited\n", - " next_distance = distance + distance_increment\n", - " path[next_hops] = next_city\n", - " compute_distances_recursive!(C_sorted,next_hops,path,next_distance)\n", - " end\n", - " end\n", - " return nothing\n", - " else\n", - " @show path, distance\n", - " return nothing\n", - " end\n", - "end\n", - "city = 1\n", - "compute_distances(C_sorted,city)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "8850d90e", - "metadata": {}, - "outputs": [], - "source": [ - "using Distributed" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "5d4935ee", - "metadata": {}, - "outputs": [], - "source": [ - "if procs() == workers()\n", - " addprocs(4)\n", - "end" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "4a2756ae", - "metadata": {}, - "outputs": [], - "source": [ - "@everywhere function visited(city,hops,path)\n", - " for i = 1:hops\n", - " if path[i] == city\n", - " return true\n", - " end\n", - " end\n", - " return false\n", - "end" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "78095098", - "metadata": {}, - "outputs": [], - "source": [ - "connections = [\n", - " [(1,0),(4,39),(5,76), (6,78),(3,94),(2,97)],\n", - " [(2,0),(5,25),(4,58),(3,62),(1,97),(6,109)],\n", - " [(3,0),(6,58),(2,62),(4,68),(5,70),(1,94)],\n", - " [(4,0),(5,38),(1,39),(2,58),(3,68),(6,78)],\n", - " [(5,0),(2,25),(4,38),(3,70),(1,76),(6,104)],\n", - " [(6,0),(3,58),(1,78),(4,78),(5,104),(2,109)]\n", - "]\n", - "city = 1\n", - "tsp_serial(connections,city)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "03f0dd8e", - "metadata": {}, - "outputs": [], - "source": [ - "@everywhere function tsp_dist_impl(connections,hops,path,current_distance,min_distance,max_hops,jobs_chnl,ftr_result)\n", - " num_cities = length(connections)\n", - " if hops == num_cities\n", - " if current_distance < min_distance\n", - " if ftr_result !== nothing\n", - " @spawnat 1 begin\n", - " result = fetch(ftr_result)\n", - " result.path .= path\n", - " result.min_distance_ref[] = current_distance\n", - " end |> wait\n", - " end\n", - " return current_distance\n", - " end\n", - " elseif hops <= max_hops\n", - " current_city = path[hops]\n", - " next_hops = hops + 1\n", - " for (next_city,distance_increment) in connections[current_city]\n", - " if !visited(next_city,hops,path)\n", - " path[next_hops] = next_city\n", - " next_distance = current_distance + distance_increment\n", - " if next_distance < min_distance\n", - " return tsp_dist_impl(connections,next_hops,path,next_distance,min_distance,max_hops,jobs_chnl,ftr_result)\n", - " end\n", - " end\n", - " end \n", - " else\n", - " if jobs_chnl !== nothing\n", - " put!(jobs_chnl,(;hops,path,current_distance))\n", - " end\n", - " end\n", - " min_distance\n", - "end\n", - "\n", - "function tsp_dist(connections,city)\n", - " max_hops = 2\n", - " num_cities = length(connections)\n", - " path=zeros(Int,num_cities)\n", - " hops = 1\n", - " path[hops] = city\n", - " current_distance = 0\n", - " min_distance = typemax(Int)\n", - " jobs_chnl = RemoteChannel(()->Channel{Any}(10))\n", - " ftr_result = @spawnat 1 (;path,min_distance_ref=Ref(min_distance))\n", - " task = @async begin\n", - " tsp_dist_impl(connections,hops,path,current_distance,min_distance,max_hops,jobs_chnl,nothing)\n", - " for w in workers()\n", - " put!(jobs_chnl,nothing)\n", - " end\n", - " end\n", - " @sync for w in workers()\n", - " @spawnat w begin\n", - " max_hops = typemax(Int)\n", - " jobs_channel = nothing\n", - " while true\n", - " job = take!(jobs_chnl)\n", - " if job == nothing\n", - " break\n", - " end\n", - " hops = job.hops\n", - " path = job.path\n", - " current_distance = job.current_distance\n", - " tsp_dist_impl(connections,hops,path,current_distance,min_distance,max_hops,jobs_channel,ftr_result)\n", - " end\n", - " end\n", - " end \n", - " result = fetch(ftr_result)\n", - " (;path = result.path, distance = result.min_distance_ref[])\n", - "end\n", - "city = 1\n", - "tsp_dist(connections,city)" - ] - }, - { - "cell_type": "code", - "execution_count": null, - "id": "370a1205", - "metadata": {}, - "outputs": [], - "source": [] } ], "metadata": { From 76789ca3202bc7a929792506438b1d1e9b85704d Mon Sep 17 00:00:00 2001 From: Francesc Verdugo Date: Wed, 13 Sep 2023 11:28:33 +0200 Subject: [PATCH 3/5] Saving --- notebooks/tsp.ipynb | 312 +++++++------------------------------------- 1 file changed, 48 insertions(+), 264 deletions(-) diff --git a/notebooks/tsp.ipynb b/notebooks/tsp.ipynb index 9adb799..75950b8 100644 --- a/notebooks/tsp.ipynb +++ b/notebooks/tsp.ipynb @@ -162,21 +162,10 @@ }, { "cell_type": "code", - "execution_count": 2, + "execution_count": null, "id": "a50706bc", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "sort_neighbors (generic function with 1 method)" - ] - }, - "execution_count": 2, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "function sort_neighbors(C)\n", " n = size(C,1)\n", @@ -191,25 +180,10 @@ }, { "cell_type": "code", - "execution_count": 5, + "execution_count": null, "id": "2eeecdd6", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "4×4 Matrix{Int64}:\n", - " 0 2 3 2\n", - " 2 0 4 1\n", - " 3 4 0 3\n", - " 2 1 3 0" - ] - }, - "execution_count": 5, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "C = [\n", " 0 2 3 2\n", @@ -221,50 +195,20 @@ }, { "cell_type": "code", - "execution_count": 6, + "execution_count": null, "id": "6dd0288e", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "4-element Vector{Vector{Tuple{Int64, Int64}}}:\n", - " [(1, 0), (2, 2), (4, 2), (3, 3)]\n", - " [(2, 0), (4, 1), (1, 2), (3, 4)]\n", - " [(3, 0), (1, 3), (4, 3), (2, 4)]\n", - " [(4, 0), (2, 1), (1, 2), (3, 3)]" - ] - }, - "execution_count": 6, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "C_sorted = sort_neighbors(C)" ] }, { "cell_type": "code", - "execution_count": 7, + "execution_count": null, "id": "00608e1d", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "4-element Vector{Tuple{Int64, Int64}}:\n", - " (3, 0)\n", - " (1, 3)\n", - " (4, 3)\n", - " (2, 4)" - ] - }, - "execution_count": 7, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "city = 3\n", "C_sorted[city]" @@ -277,7 +221,7 @@ } }, "cell_type": "markdown", - "id": "bc74f262", + "id": "7384a305", "metadata": {}, "source": [ "
\n", @@ -295,21 +239,10 @@ }, { "cell_type": "code", - "execution_count": 8, - "id": "0fdba520", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "visital_all_paths_recursive! (generic function with 1 method)" - ] - }, - "execution_count": 8, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "id": "2ddc2ec1", + "metadata": {}, + "outputs": [], "source": [ "function visital_all_paths(C_sorted,city)\n", " num_cities = length(C_sorted)\n", @@ -341,23 +274,10 @@ }, { "cell_type": "code", - "execution_count": 9, + "execution_count": null, "id": "723a0f1a", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "path = [1, 2, 4, 3]\n", - "path = [1, 2, 3, 4]\n", - "path = [1, 4, 2, 3]\n", - "path = [1, 4, 3, 2]\n", - "path = [1, 3, 4, 2]\n", - "path = [1, 3, 2, 4]\n" - ] - } - ], + "outputs": [], "source": [ "city = 1\n", "visital_all_paths(C_sorted,city)" @@ -388,21 +308,10 @@ }, { "cell_type": "code", - "execution_count": 10, - "id": "7d154cb4", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tsp_serial_no_prune_recursive! (generic function with 1 method)" - ] - }, - "execution_count": 10, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "id": "5989f0ac", + "metadata": {}, + "outputs": [], "source": [ "function tsp_serial_no_prune(C_sorted,city)\n", " num_cities = length(C_sorted)\n", @@ -439,21 +348,10 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": null, "id": "d1be2bfc", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "6" - ] - }, - "execution_count": 11, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "city = 1\n", "min_distance = tsp_serial_no_prune(C_sorted,city)" @@ -469,21 +367,10 @@ }, { "cell_type": "code", - "execution_count": 13, - "id": "1bce8f5e", - "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "tsp_serial_recursive! (generic function with 1 method)" - ] - }, - "execution_count": 13, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "id": "8241e0df", + "metadata": {}, + "outputs": [], "source": [ "function tsp_serial(C_sorted,city)\n", " num_cities = length(C_sorted)\n", @@ -523,21 +410,10 @@ }, { "cell_type": "code", - "execution_count": 14, + "execution_count": null, "id": "998087f2", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "6" - ] - }, - "execution_count": 14, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "city = 1\n", "min_distance = tsp_serial(C_sorted,city)" @@ -553,29 +429,10 @@ }, { "cell_type": "code", - "execution_count": 33, + "execution_count": null, "id": "e1eb74d8", "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " 1.286362 seconds (1 allocation: 144 bytes)\n", - " 0.002820 seconds (1 allocation: 144 bytes)\n" - ] - }, - { - "data": { - "text/plain": [ - "22" - ] - }, - "execution_count": 33, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "n = 11\n", "using Random\n", @@ -597,7 +454,7 @@ }, { "cell_type": "code", - "execution_count": 34, + "execution_count": null, "id": "354f5abb", "metadata": {}, "outputs": [], @@ -607,24 +464,10 @@ }, { "cell_type": "code", - "execution_count": 35, + "execution_count": null, "id": "7f8f6702", "metadata": {}, - "outputs": [ - { - "data": { - "text/plain": [ - "3-element Vector{Int64}:\n", - " 2\n", - " 3\n", - " 4" - ] - }, - "execution_count": 35, - "metadata": {}, - "output_type": "execute_result" - } - ], + "outputs": [], "source": [ "if workers() == procs()\n", " addprocs(3)\n", @@ -633,7 +476,7 @@ }, { "cell_type": "code", - "execution_count": 36, + "execution_count": null, "id": "5c0603a1", "metadata": {}, "outputs": [], @@ -712,29 +555,10 @@ }, { "cell_type": "code", - "execution_count": 40, - "id": "67329b25", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "path = [1, 2, 0, 0]\n", - "path = [1, 4, 0, 0]\n", - "path = [1, 3, 0, 0]\n", - " From worker 2:\tpath = [1, 2, 4, 3]\n", - " From worker 4:\tpath = [1, 3, 4, 2]\n", - " From worker 3:\tpath = [1, 4, 2, 3]\n", - " From worker 3:\tpath = [1, 4, 3, 2]\n", - " From worker 2:\tpath = [1, 2, 3, 4]\n", - " From worker 4:\tpath = [1, 3, 2, 4]\n", - " From worker 2:\tDone!\n", - " From worker 4:\tDone!\n", - " From worker 3:\tDone!\n" - ] - } - ], + "execution_count": null, + "id": "02801b66", + "metadata": {}, + "outputs": [], "source": [ "C = [\n", " 0 2 3 2\n", @@ -750,7 +574,7 @@ }, { "cell_type": "markdown", - "id": "dba41fa8", + "id": "0d579e3d", "metadata": {}, "source": [ "### How to track the global minimum distance?" @@ -758,24 +582,10 @@ }, { "cell_type": "code", - "execution_count": 42, - "id": "0753e669", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - " From worker 3:\tmin_distance = 9223372036854775807\n", - " From worker 3:\tdistance = 9\n", - " From worker 4:\tmin_distance = 9\n", - " From worker 4:\tdistance = 6\n", - " From worker 2:\tmin_distance = 6\n", - " From worker 2:\tdistance = 6\n", - "min_distance = 6\n" - ] - } - ], + "execution_count": null, + "id": "d0303392", + "metadata": {}, + "outputs": [], "source": [ "buffer = 1 # very important\n", "min_distance_chnl = RemoteChannel(()->Channel{Int}(buffer))\n", @@ -798,7 +608,7 @@ }, { "cell_type": "markdown", - "id": "d6051b8e", + "id": "1fabefcb", "metadata": {}, "source": [ "### Final parallel implementation" @@ -806,7 +616,7 @@ }, { "cell_type": "code", - "execution_count": 44, + "execution_count": null, "id": "96c649b7", "metadata": {}, "outputs": [], @@ -903,36 +713,10 @@ }, { "cell_type": "code", - "execution_count": 50, - "id": "e49242bb", - "metadata": {}, - "outputs": [ - { - "name": "stdout", - "output_type": "stream", - "text": [ - "(path, distance) = ([1, 2, 0, 0], 2)\n", - "(path, distance) = ([1, 4, 0, 0], 2)\n", - "(path, distance) = ([1, 3, 0, 0], 3)\n", - " From worker 3:\t(path, distance, min_distance) = ([1, 3, 4, 2], 7, 7)\n", - " From worker 2:\t(path, distance, min_distance) = ([1, 2, 4, 3], 6, 6)\n", - " From worker 3:\tDone!\n", - " From worker 4:\t(path, distance, min_distance) = ([1, 4, 2, 3], 7, 6)\n", - " From worker 2:\tDone!\n", - " From worker 4:\tDone!\n" - ] - }, - { - "data": { - "text/plain": [ - "6" - ] - }, - "execution_count": 50, - "metadata": {}, - "output_type": "execute_result" - } - ], + "execution_count": null, + "id": "67888155", + "metadata": {}, + "outputs": [], "source": [ "city = 1\n", "max_hops = 2\n", From 60ae199c86a4b519f2de5edc29d16eb4a27bb72a Mon Sep 17 00:00:00 2001 From: Francesc Verdugo Date: Fri, 15 Sep 2023 15:11:59 +0200 Subject: [PATCH 4/5] Saving MPI-related figures --- notebooks/figures/fig_mpi.svg | 2162 ++++++++++++++++++++------------- 1 file changed, 1341 insertions(+), 821 deletions(-) diff --git a/notebooks/figures/fig_mpi.svg b/notebooks/figures/fig_mpi.svg index cc36d32..3926288 100644 --- a/notebooks/figures/fig_mpi.svg +++ b/notebooks/figures/fig_mpi.svg @@ -373,9 +373,9 @@ borderopacity="1.0" inkscape:pageopacity="0.0" inkscape:pageshadow="2" - inkscape:zoom="1.4" - inkscape:cx="4981.0264" - inkscape:cy="680.67174" + inkscape:zoom="0.70000001" + inkscape:cx="4005.3666" + inkscape:cy="58.38566" inkscape:document-units="mm" inkscape:current-layer="layer1" inkscape:document-rotation="0" @@ -408,781 +408,777 @@ inkscape:groupmode="layer" id="layer1" transform="translate(-8.4171906,-107.52556)"> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - parent - rank0 - rank 1 - - - - - - - - - - rank 2 - mpiexec -np 3 julia code.jl - julia code.jl - julia code.jl - julia code.jl - + transform="translate(-45.094518,270.52777)" + id="g1148"> + transform="translate(-37.508675,270.52775)" + id="g1157"> + transform="translate(-100.60542,297.42286)" + id="g1148-3"> + style="fill:#e6e6e6;stroke:#000000;stroke-width:0.79375;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" /> + style="fill:#e6e6e6;stroke:#000000;stroke-width:0.79375;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" /> + style="fill:#e6e6e6;stroke:#000000;stroke-width:0.79375;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" /> + style="fill:#e6e6e6;stroke:#000000;stroke-width:0.529167;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" /> + style="fill:#e6e6e6;stroke:#000000;stroke-width:0.529167;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" /> + style="fill:#e6e6e6;stroke:#000000;stroke-width:0.529167;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" /> + style="fill:#e6e6e6;stroke:#000000;stroke-width:0.529167;stroke-linecap:round;stroke-linejoin:round;stroke-miterlimit:4;stroke-dasharray:none;stroke-opacity:1" /> proc 1 - rank0rank0 rank 1rank 1 + id="rect1266" + style="fill:none;stroke:#cccccc;stroke-width:1.465;stroke-linecap:round;stroke-linejoin:round" /> + id="g970" + transform="translate(8.9962233,270.52775)"> rank 2 proc 2 + id="tspan73-7" + y="215.55295" + x="13.606586">$ mpiexec -np 3 myapp + myapp proc 3 + x="92.886765" + y="102.51315">myapp proc 4 - julia> mgr = MPIWorkerManager(3)julia> addprocs(mgr) + id="tspan1037" + y="190.2106" + x="184.34665">myapp + + + transform="translate(380.22649,-30.072239)" + id="g1148-9"> + transform="translate(387.81233,-30.072259)" + id="g1157-0"> + + + + + + + + + proc 1 + rank 0rank0 rank 1rank 1 + + id="g970-3" + transform="translate(434.31723,-30.072259)"> rank 2 - - - msg - - - - msg*coef + style="stroke-width:1.87007797" + id="tspan73-8-5" + y="-185.68356" + x="513.99878">proc 2 proc 3 + proc 4 + julia> mgr = MPIWorkerManager(3)julia> addprocs(mgr) + + + + + + + + + + + + + + + + + + + + + + rank 0 + rank 1 + + + + + + + + + + rank 2 + + + msg + + + + + msg*coef + msg + + + + + + + + + + + + + + + + + + + + + rank 0 + rank 1 + + + + + + + + + + rank 2 + + + + + + + [20,30,40] + root + 20 + 30 + 40 + + + + + + + + + + + + + + + + + + + + + + + rank 0 + rank 1 + + + + + + + + + + rank 2 + + + + [20,30,40] + root + 20 + 30 + 40 + + + + transform="translate(1155.5468,183.31702)" + id="g1148-7-5-75"> + transform="translate(1163.1327,183.31701)" + id="g1157-09-3-0"> rank 0rank 0 rank 1rank 1 + id="g970-7-6-3" + transform="translate(1209.6376,183.31701)"> rank 2 - - - - - - [20,30,40] - root + id="tspan78-79-8-2-1-3" + y="33.599152" + x="1292.6124">msg + 20 - 30 + id="tspan78-79-8-2-1-3-6" + y="33.135578" + x="1335.405">msg+=1 40 + id="tspan78-79-8-2-1-3-6-2" + y="33.826126" + x="1383.3828">msg+=1 + + + + transform="translate(-54.446134,435.21645)" + id="g1148-35"> + transform="translate(-46.860289,435.21643)" + id="g1157-6"> + + + + + + + + + rank 0rank0 rank 1rank 1 + + id="g970-78" + transform="translate(-0.35539134,435.21643)"> rank 2 - - - - [20,30,40] root + id="tspan73-7-6" + y="380.24164" + x="4.254972">$ mpiexec -np 3 julia code.jl 20 + style="stroke-width:1.87007797" + id="tspan73-7-3-5" + y="354.89929" + x="75.71862">julia code.jl 30 + id="text1474" + style="font-style:normal;font-variant:normal;font-weight:normal;font-stretch:normal;font-size:5.93749809px;line-height:1.25;font-family:Hack;-inkscape-font-specification:Hack;letter-spacing:0px;word-spacing:0px;white-space:pre;shape-inside:url(#rect1130);stroke-width:1.87007797" + x="79.641144" + y="267.20184">julia code.jl 40 - + style="stroke-width:1.87007797" + id="tspan1476" + y="354.89929" + x="167.25842">julia code.jl + transform="translate(910.35161,341.10254)" + id="g1148-7-5-7-5"> + transform="translate(917.93751,341.10253)" + id="g1157-09-3-5-9"> rank 0rank 0 rank 1rank 1 + id="g970-7-6-7-9" + transform="translate(964.44231,341.10253)"> rank 2 + + + + + + root + msg - + id="tspan78-79-8-26-9-0-6" + y="198.97066" + x="1069.8604">20 msg+=1 + id="tspan78-79-8-26-9-0-6-5" + y="195.08063" + x="1047.55">20 20 + msg+=1 - - + id="tspan1603" + y="194.96161" + x="1153.2484">20 From f6a3a677b2e261cc2d372cca439d00a2b5609689 Mon Sep 17 00:00:00 2001 From: Francesc Verdugo Date: Fri, 15 Sep 2023 16:39:05 +0200 Subject: [PATCH 5/5] Changes after the lecture on Friday September 15th 2023 --- docs/src/solutions_for_all_notebooks.md | 91 ++++- notebooks/julia_distributed.ipynb | 33 +- notebooks/mpi_tutorial.ipynb | 428 +++++++++++++++++++++++- 3 files changed, 530 insertions(+), 22 deletions(-) diff --git a/docs/src/solutions_for_all_notebooks.md b/docs/src/solutions_for_all_notebooks.md index 3b9f567..292903c 100644 --- a/docs/src/solutions_for_all_notebooks.md +++ b/docs/src/solutions_for_all_notebooks.md @@ -50,7 +50,6 @@ heatmap(x,y,(i,j)->mandel(i,j,max_iters)) ## Asynchronous programming in Julia - ### NB2-Q1 Evaluating `compute_Ï€(100_000_000)` takes about 0.25 seconds. Thus, the loop would take about 2.5 seconds since we are calling the function 10 times. @@ -71,4 +70,94 @@ It will take about 3 seconds. The channel has buffer size 4, thus the call to `p The channel is not buffered and therefore the call to `put!` will block. The cell will run forever, since there is no other task that calls `take!` on this channel. +## Distributed computing in Julia + +### NB3-Q1 + +We send the matrix (16 entries) and then we receive back the result (1 extra integer). Thus, the total number of transferred integers in 17. + +### NB3-Q2 + +Even though we only use a single entry of the matrix in the remote worker, the entire matrix is captured and sent to the worker. Thus, we will transfer 17 integers like in Question 1. + +### NB3-Q3 + +The value of `x` will still be zero since the worker receives a copy of the matrix and it modifies this copy, not the original one. + +### NB3-Q4 + +In this case, the code `a[2]=2` is executed in the main process. Since the matrix is already in the main process, it is not needed to create and send a copy of it. Thus, the code modifies the original matrix and the value of `x` will be 2. + +## Distributed computing with MPI + +### Exercise 1 + +```julia +using MPI +MPI.Init() +comm = MPI.Comm_dup(MPI.COMM_WORLD) +rank = MPI.Comm_rank(comm) +nranks = MPI.Comm_size(comm) +buffer = Ref(0) +if rank == 0 + msg = 2 + buffer[] = msg + println("msg = $(buffer[])") + MPI.Send(buffer,comm;dest=rank+1,tag=0) + MPI.Recv!(buffer,comm;source=nranks-1,tag=0) + println("msg = $(buffer[])") +else + dest = if (rank != nranks-1) + rank+1 + else + 0 + end + MPI.Recv!(buffer,comm;source=rank-1,tag=0) + buffer[] += 1 + println("msg = $(buffer[])") + MPI.Send(buffer,comm;dest,tag=0) +end +``` + +### Exercise 2 + +```julia +f = () -> Channel{Int}(1) +chnls = [ RemoteChannel(f,w) for w in workers() ] +@sync for (iw,w) in enumerate(workers()) + @spawnat w begin + chnl_snd = chnls[iw] + if w == 2 + chnl_rcv = chnls[end] + msg = 2 + println("msg = $msg") + put!(chnl_snd,msg) + msg = take!(chnl_rcv) + println("msg = $msg") + else + chnl_rcv = chnls[iw-1] + msg = take!(chnl_rcv) + msg += 1 + println("msg = $msg") + put!(chnl_snd,msg) + end + end +end +``` + +This is another possible solution. + +```julia +@everywhere function work(msg) + println("msg = $msg") + if myid() != nprocs() + next = myid() + 1 + @fetchfrom next work(msg+1) + else + @fetchfrom 2 println("msg = $msg") + end +end +msg = 2 +@fetchfrom 2 work(msg) +``` diff --git a/notebooks/julia_distributed.ipynb b/notebooks/julia_distributed.ipynb index c7aaad0..5dea45e 100644 --- a/notebooks/julia_distributed.ipynb +++ b/notebooks/julia_distributed.ipynb @@ -614,6 +614,27 @@ "take!(chnl)" ] }, + { + "cell_type": "markdown", + "id": "ff0da45d", + "metadata": {}, + "source": [ + "### This will not work!\n", + "\n", + "You really need remote channels to communicate different processes. Standard Channels would not work. For instance, the following code would block at the `take!`. Worker 4 will receive a different copy of the channel and will put values in it. The channel defined in the main process will remain empty and this will make the take! to block. \n", + "\n", + "```julia\n", + "chnl = Channel{Int}()\n", + "@spawnat 4 begin\n", + " for i in 1:5\n", + " put!(chnl,i)\n", + " end\n", + " close(chnl)\n", + "end\n", + "take!(chnl)\n", + "```" + ] + }, { "cell_type": "markdown", "id": "1b3f8dcc", @@ -769,7 +790,7 @@ "source": [ "\n", "
\n", - "Question (Q1): How many integers are transferred between master and worker? Including both directions. \n", + "Question (NB3-Q1): How many integers are transferred between master and worker? Including both directions. \n", "
\n", "\n", "\n", @@ -803,7 +824,7 @@ "metadata": {}, "source": [ "
\n", - "Question (Q2): How many integers are transferred between master and worker? Including both directions. \n", + "Question (NB3-Q2): How many integers are transferred between master and worker? Including both directions. \n", "
\n", "\n", "\n", @@ -838,7 +859,7 @@ "source": [ "\n", "
\n", - "Question (Q3): Which value will be the value of `x` ? \n", + "Question (NB3-Q3): Which value will be the value of `x` ? \n", "
\n" ] }, @@ -862,7 +883,7 @@ "metadata": {}, "source": [ "
\n", - "Question (Q4): Which value will be the value of `x` ? \n", + "Question (NB3-Q4): Which value will be the value of `x` ? \n", "
\n", "\n", "Which value will be the value of `x` ?" @@ -1309,7 +1330,7 @@ ], "metadata": { "kernelspec": { - "display_name": "Julia 1.9.3", + "display_name": "Julia 1.9.0", "language": "julia", "name": "julia-1.9" }, @@ -1317,7 +1338,7 @@ "file_extension": ".jl", "mimetype": "application/julia", "name": "julia", - "version": "1.9.3" + "version": "1.9.0" } }, "nbformat": 4, diff --git a/notebooks/mpi_tutorial.ipynb b/notebooks/mpi_tutorial.ipynb index c94c19a..32447a5 100644 --- a/notebooks/mpi_tutorial.ipynb +++ b/notebooks/mpi_tutorial.ipynb @@ -51,6 +51,36 @@ "- There are Julia bindings via the package MPI.jl https://github.com/JuliaParallel/MPI.jl" ] }, + { + "cell_type": "markdown", + "id": "99c6febb", + "metadata": {}, + "source": [ + "### What is MPI.jl ?\n", + "\n", + "- It is not a Julia implementation of the MPI standard\n", + "- It is a wrapper to the C interface of MPI\n", + "- You need a C MPI installation in your system\n", + "\n", + "\n", + "MPI.jl provides a convenient Julia API to access MPI. For instance, this is how you get the id (rank) of the current process.\n", + "\n", + "```julia\n", + "comm = MPI.COMM_WORLD\n", + "rank = MPI.Comm_rank(comm)\n", + "```\n", + "\n", + "Internally, MPI.jl uses `ccall` which is a mechanism that allows you to call C functions from Julia. In this, example we are calling the C function `MPI_Comm_rank` from the underlying MPI installation.\n", + "\n", + "```julia\n", + "comm = MPI.COMM_WORLD \n", + "rank_ref = Ref{Cint}()\n", + "ccall((:MPI_Comm_rank, MPI.API.libmpi), Cint, (MPI.API.MPI_Comm, Ptr{Cint}), comm, rank_ref)\n", + "rank = Int(rank_ref[])\n", + "```\n", + "\n" + ] + }, { "cell_type": "markdown", "id": "82e6e98f", @@ -81,6 +111,66 @@ "
" ] }, + { + "cell_type": "markdown", + "id": "a534e3a2", + "metadata": {}, + "source": [ + "### Basic information about MPI processes\n", + "\n", + "The following cells give information about MPI processes, such as the rank id, the total number of processes and the name of the host running the code respectively. Before calling this functions one needs to initialize MPI." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "96f7c14e", + "metadata": {}, + "outputs": [], + "source": [ + "using MPI\n", + "MPI.Init()" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "bd8232f5", + "metadata": {}, + "outputs": [], + "source": [ + "comm = MPI.COMM_WORLD\n", + "rank = MPI.Comm_rank(comm)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "0befa408", + "metadata": {}, + "outputs": [], + "source": [ + "nranks = MPI.Comm_size(comm)" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ff01adcf", + "metadata": {}, + "outputs": [], + "source": [ + "MPI.Get_processor_name()" + ] + }, + { + "cell_type": "markdown", + "id": "f1a502a3", + "metadata": {}, + "source": [ + "Note that this note notebook is not running with different MPI processes (yet). So using MPI will only make sense later when we add more processes." + ] + }, { "cell_type": "markdown", "id": "133327e2", @@ -104,6 +194,32 @@ "println(\"Hello, I am process $rank of $nranks processes!\")" ] }, + { + "cell_type": "markdown", + "id": "baddbba1", + "metadata": {}, + "source": [ + "### Hello world in C\n", + "\n", + "```C\n", + "#include \n", + "#include \n", + "int main(int argc, char** argv) {\n", + " MPI_Init(NULL, NULL);\n", + " int world_size;\n", + " MPI_Comm_size(MPI_COMM_WORLD, &world_size);\n", + " int world_rank;\n", + " MPI_Comm_rank(MPI_COMM_WORLD, &world_rank);\n", + " char processor_name[MPI_MAX_PROCESSOR_NAME];\n", + " int name_len;\n", + " MPI_Get_processor_name(processor_name, &name_len);\n", + " printf(\"Hello from %s, I am rank %d of %d ranks!\\n\",\n", + " processor_name, world_rank, world_size);\n", + " MPI_Finalize();\n", + "}\n", + "```" + ] + }, { "cell_type": "markdown", "id": "e3901c57", @@ -311,14 +427,60 @@ "\n", "MPI provides collective communication functions for communication involving multiple processes. Some usual collective directives are:\n", "\n", - "- `MPI.Scatter`: Distributes data from one process to all processes.\n", "- `MPI.Gather`: Gathers data from all processes to a single process.\n", + "- `MPI.Scatter`: Distributes data from one process to all processes.\n", "- `MPI.Bcast`: Broadcasts data from one process to all processes.\n", "- `MPI.Barrier`: Synchronizes all processes.\n", "\n", "See more collective directives available from Julia here: https://juliaparallel.org/MPI.jl/stable/reference/collective/\n" ] }, + { + "cell_type": "markdown", + "id": "97dc2886", + "metadata": {}, + "source": [ + "### Gather\n", + "\n", + "Each rank sends a message to the root rank (the root rank also sends a message to itself). The root rank receives all these values in a buffer (e.g. a vector)." + ] + }, + { + "attachments": { + "g13884.png": { + "image/png": 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" + } + }, + "cell_type": "markdown", + "id": "4bdf9c02", + "metadata": {}, + "source": [ + "
\n", + "\n", + "
" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "1f8a70c6", + "metadata": {}, + "outputs": [], + "source": [ + "@everywhere workers() begin\n", + " comm = MPI.Comm_dup(MPI.COMM_WORLD)\n", + " nranks = MPI.Comm_size(comm)\n", + " rank = MPI.Comm_rank(comm)\n", + " root = 0\n", + " snd = 10*(rank+2)\n", + " println(\"I am sending $snd\")\n", + " rcv = MPI.Gather(snd,comm;root)\n", + " if rank == root\n", + " println(\"I have received: $rcv\")\n", + " end\n", + "end" + ] + }, { "cell_type": "markdown", "id": "8b4254d1", @@ -326,7 +488,7 @@ "source": [ "### Scatter\n", "\n", - "The \"root\" rank contains a buffer (e.g., a vector) of values (one value for each rank in a communicator). Scatter sends one value to each rank (the root rank also receives a value). The root rank can be any process in a communicator." + "The root rank contains a buffer (e.g., a vector) of values (one value for each rank in a communicator). Scatter sends one value to each rank (the root rank also receives a value). The root rank can be any process in a communicator." ] }, { @@ -370,33 +532,33 @@ }, { "cell_type": "markdown", - "id": "97dc2886", + "id": "ed8da7f9", "metadata": {}, "source": [ - "### Gather\n", + "### Bcast (broadcast)\n", "\n", - "Each rank sends a message to the root rank (the root rank also sends a message to itself). The root rank receives all these values in a buffer (e.g. a vector)." + "Similar to scatter, but we send the same message to all processes." ] }, { "attachments": { - "g13884.png": { - "image/png": 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" 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" } }, "cell_type": "markdown", - "id": "4bdf9c02", + "id": "26b56c81", "metadata": {}, "source": [ "
\n", - "\n", + "\n", "
" ] }, { "cell_type": "code", "execution_count": null, - "id": "1f8a70c6", + "id": "4de15781", "metadata": {}, "outputs": [], "source": [ @@ -405,12 +567,36 @@ " nranks = MPI.Comm_size(comm)\n", " rank = MPI.Comm_rank(comm)\n", " root = 0\n", - " snd = 10*(rank+2)\n", - " println(\"I am sending $snd\")\n", - " rcv = MPI.Gather(snd,comm;root)\n", + " buffer = Ref(0)\n", " if rank == root\n", - " println(\"I have received: $rcv\")\n", - " end\n", + " buffer[] = 20\n", + " println(\"I am sending: $(buffer[])\")\n", + " end \n", + " MPI.Bcast!(buffer,comm;root)\n", + " println(\"I have received: $(buffer[])\")\n", + "end" + ] + }, + { + "cell_type": "markdown", + "id": "6de37cc9", + "metadata": {}, + "source": [ + "### Barrier" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ff61f64a", + "metadata": {}, + "outputs": [], + "source": [ + "@everywhere workers() begin\n", + " comm = MPI.Comm_dup(MPI.COMM_WORLD)\n", + " sleep(rand(1:3))\n", + " MPI.Barrier(comm)\n", + " println(\"Done!\")\n", "end" ] }, @@ -435,6 +621,218 @@ "\n" ] }, + { + "cell_type": "markdown", + "id": "26879a46", + "metadata": {}, + "source": [ + "### Blocking communication\n", + "\n", + "If we start a receive before a matching send, we will block in the call to `MPI.Recv!`. Run the next cell and note that the message is not printed since the process is blocked at `MPI.Recv!` waiting for a matching send." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "68aa9ada", + "metadata": {}, + "outputs": [], + "source": [ + "@spawnat 4 begin\n", + " buffer = Ref(0)\n", + " comm = MPI.COMM_WORLD\n", + " MPI.Recv!(buffer,comm;source=2-2,tag=0)\n", + " println(\"I have received $(buffer[]).\")\n", + "end;" + ] + }, + { + "cell_type": "markdown", + "id": "ace9c787", + "metadata": {}, + "source": [ + "If you run the next cell containing the corresponding send, the communication will take place." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "e18347cd", + "metadata": {}, + "outputs": [], + "source": [ + "@spawnat 2 begin\n", + " buffer = Ref(2)\n", + " comm = MPI.COMM_WORLD\n", + " MPI.Send(buffer,comm;dest=4-2,tag=0)\n", + " println(\"I have send $(buffer[]). It is now safe to overwite the buffer.\")\n", + "end;" + ] + }, + { + "cell_type": "markdown", + "id": "0a038200", + "metadata": {}, + "source": [ + "### MPI does not integrate well with Julia Tasks\n", + "\n", + "MPI blocks without yielding (we cannot switch to other Julia tasks). Run next cell:" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d7da7d27", + "metadata": {}, + "outputs": [], + "source": [ + "@spawnat 4 begin\n", + " buffer = Ref(0)\n", + " comm = MPI.COMM_WORLD\n", + " MPI.Recv!(buffer,comm;source=2-2,tag=0)\n", + " println(\"I have received $(buffer[]).\")\n", + "end;" + ] + }, + { + "cell_type": "markdown", + "id": "530b673b", + "metadata": {}, + "source": [ + "Now try to spawn other tasks on process 4 by running next cell. This task will not be served yet." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "ae1165ac", + "metadata": {}, + "outputs": [], + "source": [ + "@spawnat 4 println(\"Hello!\");" + ] + }, + { + "cell_type": "markdown", + "id": "c722d71e", + "metadata": {}, + "source": [ + "We first need to unlock the receive with a matching send. Then the task printing \"Hello!\" will be finally served." + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "9da6f76e", + "metadata": {}, + "outputs": [], + "source": [ + "@spawnat 2 begin\n", + " buffer = Ref(2)\n", + " comm = MPI.COMM_WORLD\n", + " MPI.Send(buffer,comm;dest=4-2,tag=0)\n", + " println(\"I have send $(buffer[]). It is now safe to overwite the buffer.\")\n", + "end;" + ] + }, + { + "cell_type": "markdown", + "id": "6f4fa1cd", + "metadata": {}, + "source": [ + "### Non-blocking communication" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "d6e2fbbf", + "metadata": {}, + "outputs": [], + "source": [ + "@spawnat 4 begin\n", + " buffer = Ref(0)\n", + " comm = MPI.COMM_WORLD\n", + " req = MPI.Irecv!(buffer,comm;source=2-2,tag=0)\n", + " println(\"Not yet safe to read the buffer\")\n", + " MPI.Wait(req)\n", + " println(\"I have received $(buffer[]).\")\n", + "end;" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "4aa426ff", + "metadata": {}, + "outputs": [], + "source": [ + "@spawnat 2 begin\n", + " buffer = Ref(2)\n", + " comm = MPI.COMM_WORLD\n", + " req = MPI.Isend(buffer,comm;dest=4-2,tag=0)\n", + " println(\"Not yet safe to write the buffer\")\n", + " MPI.Wait(req)\n", + " println(\"I have send $(buffer[]). It is now safe to overwite the buffer.\")\n", + "end;" + ] + }, + { + "cell_type": "markdown", + "id": "30d9a970", + "metadata": {}, + "source": [ + "### Combining Julia Tasks and non-blocking communication\n", + "\n", + "We can implement our own blocking mechanism that combines well with the Julia task scheduler. This can be done by testing on the request in a while loop. The `yield` in the loop provides the opportunity of other tasks to run.\n" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "768b2439", + "metadata": {}, + "outputs": [], + "source": [ + "@spawnat 4 begin\n", + " buffer = Ref(0)\n", + " comm = MPI.COMM_WORLD\n", + " req = MPI.Irecv!(buffer,comm;source=2-2,tag=0)\n", + " while MPI.Test(req) == false\n", + " yield()\n", + " end\n", + " println(\"I have received $(buffer[]).\")\n", + "end;" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "073d138c", + "metadata": {}, + "outputs": [], + "source": [ + "@spawnat 4 println(\"Hello!\");" + ] + }, + { + "cell_type": "code", + "execution_count": null, + "id": "97bc403f", + "metadata": {}, + "outputs": [], + "source": [ + "@spawnat 2 begin\n", + " buffer = Ref(2)\n", + " comm = MPI.COMM_WORLD\n", + " req = MPI.Isend(buffer,comm;dest=4-2,tag=0)\n", + " while MPI.Test(req) == false\n", + " yield()\n", + " end\n", + " println(\"I have send $(buffer[]). It is now safe to overwite the buffer.\")\n", + "end;" + ] + }, { "cell_type": "markdown", "id": "750fdacb",