2024-03-07 16:53:59 +01:00

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{
"cells": [
{
"cell_type": "code",
"execution_count": 1,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"Threads: 32\n"
]
}
],
"source": [
"#using Pkg\n",
"#Pkg.add(url=\"https://github.com/QEDjl-project/QEDprocesses.jl/\")\n",
"\n",
"using MetagraphOptimization\n",
"using CUDA\n",
"using UUIDs\n",
"using BenchmarkTools\n",
"\n",
"println(\"Threads: $(Threads.nthreads())\")"
]
},
{
"cell_type": "code",
"execution_count": 2,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"compute__f8924964_dc86_11ee_28bb_113216b1f5be (generic function with 1 method)"
]
},
"execution_count": 2,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# preparation of graph\n",
"machine = Machine([MetagraphOptimization.NumaNode(0, 1, MetagraphOptimization.default_strategy(MetagraphOptimization.NumaNode), -1.0, UUIDs.uuid1())], [-1.0;;])\n",
"model = QEDModel()\n",
"process = parse_process(\"ke->kkke\", model)\n",
"graph = gen_graph(process)\n",
"n_inputs = 2^14\n",
"inputs = [gen_process_input(process) for _ in 1:n_inputs]\n",
"cu_inputs = CuArray(inputs)\n",
"optimizer = GreedyOptimizer(GlobalMetricEstimator())\n",
"\n",
"get_compute_function(graph, process, machine) # run once for compilation"
]
},
{
"cell_type": "code",
"execution_count": 3,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"bench (generic function with 1 method)"
]
},
"execution_count": 3,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"function bench(func, kernel!, inputs, cu_inputs)\n",
" compile_time = @elapsed func(inputs[1])\n",
"\n",
" b = @benchmark $func.($inputs) samples = 10 evals = 1\n",
" single_thread = median(b.times) / 1e9\n",
" st_std = std(b.times) / 1e9\n",
"\n",
" b = @benchmark begin \n",
" Threads.@threads for i in eachindex($inputs)\n",
" $func($inputs[i]) \n",
" end \n",
" end samples = 10 evals = 1\n",
" multi_threaded = median(b.times) / 1e9\n",
" mt_std = std(b.times) / 1e9\n",
" \n",
" n = length(cu_inputs)\n",
" ts = 32\n",
" bs = Int(n / ts)\n",
" cu_outputs = CuVector{ComplexF64}()\n",
" resize!(cu_outputs, n)\n",
" b = @benchmark begin\n",
" @cuda threads = $ts blocks = $bs always_inline=true $kernel!($cu_inputs, $cu_outputs, $n)\n",
" CUDA.device_synchronize()\n",
" end samples = 10 evals = 1\n",
" gpu_compile = 0\n",
" gpu = median(b.times) / 1e9\n",
" gpu_std = std(b.times) / 1e9\n",
"\n",
" return (cpu_compile_time = compile_time, gpu_compile_time = gpu_compile, cpu_single_thread_time = single_thread, cpu_st_std = st_std, cpu_multi_thread_time = multi_threaded, cpu_mt_std = mt_std, gpu_time = gpu, gpu_std = gpu_std)\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 4,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"IIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIIII\n",
"Done\n"
]
}
],
"source": [
"# bench and produce data\n",
"using DataFrames\n",
"\n",
"STEPSIZE = 1\n",
"n = 0\n",
"\n",
"df = DataFrame(\n",
" operations=Int[], \n",
" graph_nodes=Int[], \n",
" graph_edges=Int[], \n",
" graph_ce=Float64[], \n",
" graph_dt=Float64[], \n",
" graph_ci=Float64[], \n",
" gen_func_t=Float64[], \n",
" cpu_compile_t=Float64[], \n",
" cpu_st_t=Float64[], \n",
" cpu_st_std=Float64[],\n",
" cpu_mt_t=Float64[], \n",
" cpu_mt_std=Float64[],\n",
" gpu_compile_t=Float64[], \n",
" gpu_t=Float64[],\n",
" gpu_std=Float64[]\n",
")\n",
"\n",
"while true\n",
" func_gen_time = @elapsed func = get_compute_function(graph, process, machine)\n",
" kernel! = get_cuda_kernel(graph, process, machine)\n",
" res = bench(func, kernel!, inputs, cu_inputs)\n",
"\n",
" graph_properties = get_properties(graph)\n",
" push!(df, (\n",
" n,\n",
" graph_properties.noNodes,\n",
" graph_properties.noEdges,\n",
" graph_properties.computeEffort,\n",
" graph_properties.data,\n",
" graph_properties.computeIntensity,\n",
" func_gen_time,\n",
" res.cpu_compile_time,\n",
" res.cpu_single_thread_time,\n",
" res.cpu_st_std,\n",
" res.cpu_multi_thread_time,\n",
" res.cpu_mt_std,\n",
" res.gpu_compile_time,\n",
" res.gpu_time,\n",
" res.gpu_std\n",
" ))\n",
"\n",
" print(\"I\")\n",
"\n",
" if fixpoint_reached(optimizer, graph)\n",
" break\n",
" end\n",
"\n",
" optimize!(optimizer, graph, STEPSIZE)\n",
" n += STEPSIZE\n",
"end\n",
"println(\"\\nDone\")\n",
";"
]
},
{
"cell_type": "code",
"execution_count": 5,
"metadata": {},
"outputs": [
{
"data": {
"text/plain": [
"beautify_title (generic function with 1 method)"
]
},
"execution_count": 5,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"using LaTeXStrings\n",
"\n",
"function beautify_title(str::AbstractString)\n",
" parts = split(str, \"'\")\n",
"\n",
" preprefix = parts[1]\n",
" infix = parts[2]\n",
" sufsuffix = parts[3]\n",
"\n",
" parts = split(infix, \"->\")\n",
"\n",
" prefix = parts[1]\n",
" suffix = parts[2]\n",
"\n",
" k_count = count(c -> c == 'k', suffix)\n",
" B_count = count(c -> c == 'B', suffix)\n",
"\n",
" if k_count == 1 || B_count == 1\n",
" new_suffix = suffix\n",
" elseif k_count >= 1\n",
" new_suffix = replace(suffix, r\"k+\" => \"k^$k_count\")\n",
" elseif B_count >= 1\n",
" new_suffix = replace(suffix, r\"B+\" => \"B^$B_count\")\n",
" end\n",
"\n",
" return preprefix * L\"%$prefix \\rightarrow %$new_suffix\" * sufsuffix\n",
"end"
]
},
{
"cell_type": "code",
"execution_count": 17,
"metadata": {},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"0.0008688088377493507\n"
]
},
{
"data": {
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]
},
"execution_count": 17,
"metadata": {},
"output_type": "execute_result"
}
],
"source": [
"# plot data\n",
"using Plots\n",
"using StatsPlots\n",
"\n",
"img = @df df scatter(\n",
" :operations, \n",
" [:cpu_st_t :cpu_mt_t :gpu_t],\n",
" label=[\"Single threaded execution (s)\" \"$(Threads.nthreads())-threaded execution (s)\" \"GPU execution A30 (s)\"], \n",
" yerror=[:cpu_st_std :cpu_mt_std :gpu_std],\n",
" title=\"$(beautify_title(string(process))) Using Greedy Optimization ($(n_inputs) Inputs)\",\n",
" linewidth=2,\n",
" xlabel=\"optimizer steps\",\n",
" ylabel=\"time (s)\",\n",
" yscale=:log10,\n",
" legend=:outerbottom,\n",
" legendcolumns=2,\n",
" legend_font_pointsize=10,\n",
" minorgrid=true,\n",
" size=(800, 600),\n",
" fmt=:pdf\n",
")\n",
"\n",
"savefig(img, \"../images/qed_k3_execution_greedy.pdf\")\n",
"\n",
"img"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"img = @df df scatter(\n",
" :operations,\n",
" [:graph_nodes, :graph_edges],\n",
" label=[\"graph nodes (#)\" \"graph edges (#)\"],\n",
" title=\"$(beautify_title(string(process))) Using Greedy Optimization\",\n",
" linewidth=2,\n",
" xlabel=\"optimizer steps\",\n",
" ylims=(0.0, 1.05 * maximum(df.graph_edges)),\n",
" legend=:outerbottom,\n",
" legendcolumns=2,\n",
" legend_font_pointsize=10,\n",
" fmt=:pdf,\n",
" size=(800, 600)\n",
")\n",
"\n",
"savefig(img, \"../images/qed_k3_nodes_edges_greedy.pdf\")\n",
"\n",
"img"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"img = @df df scatter(\n",
" :operations,\n",
" [:graph_ce, :graph_dt],\n",
" label=[\"graph compute effort (FLOP)\" \"graph data transfer (B)\"],\n",
" title=\"$(beautify_title(string(process))) Using Greedy Optimization\",\n",
" linewidth=2,\n",
" xlabel=\"optimizer steps\",\n",
" ylims=(0.0, 1.05 * maximum(df.graph_ce)),\n",
" legend=:outerbottom,\n",
" legendcolumns=2,\n",
" legend_font_pointsize=10,\n",
" fmt=:pdf,\n",
" size=(800, 600)\n",
")\n",
"\n",
"savefig(img, \"../images/qed_k3_ce_dt_greedy.pdf\")\n",
"\n",
"img"
]
},
{
"cell_type": "code",
"execution_count": null,
"metadata": {},
"outputs": [],
"source": [
"img = @df df plot(\n",
" :graph_dt,\n",
" :graph_ce,\n",
" label=\"Graph Compute Intensity\",\n",
" title=\"$(beautify_title(string(process))) Using Greedy Optimization\",\n",
" linewidth=2,\n",
" xlabel=\"data transfer (Byte)\",\n",
" ylabel=\"compute effort (FLOPS)\",\n",
" ylims=(0.0, 1.05 * maximum(df.graph_ce)),\n",
" xlims=(0.0, 1.05 * maximum(df.graph_dt)),\n",
" legend=:outerbottom,\n",
" legendcolumns=2,\n",
" legend_font_pointsize=10,\n",
" fmt=:pdf,\n",
" size=(800, 600)\n",
")\n",
"\n",
"savefig(img, \"../images/qed_k3_cdplot_greedy.pdf\")\n",
"\n",
"img"
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Julia 1.9.4 (32 Threads)",
"language": "julia",
"name": "julia-1.9"
},
"language_info": {
"file_extension": ".jl",
"mimetype": "application/julia",
"name": "julia",
"version": "1.9.4"
}
},
"nbformat": 4,
"nbformat_minor": 2
}