From 2ef278decf4ffe6c7b9801012e1be929a7da886d Mon Sep 17 00:00:00 2001 From: Avik Pal Date: Fri, 21 Jul 2023 18:15:36 -0400 Subject: [PATCH 1/6] Setup benchmarking --- benchmark/Project.toml | 10 + benchmark/README.md | 4 + benchmark/benchmarks.jl | 10 + benchmark/lcp/jl_4yIcVo/solvers_5_1.png | Bin 0 -> 24697 bytes benchmark/lcp/solvers.html | 763 ++++++++++++++++++++++++ benchmark/lcp/solvers.jmd | 131 ++++ src/algorithms/lcp/fallback.jl | 3 +- 7 files changed, 920 insertions(+), 1 deletion(-) create mode 100644 benchmark/Project.toml create mode 100644 benchmark/README.md create mode 100644 benchmark/benchmarks.jl create mode 100644 benchmark/lcp/jl_4yIcVo/solvers_5_1.png create mode 100644 benchmark/lcp/solvers.html create mode 100644 benchmark/lcp/solvers.jmd diff --git a/benchmark/Project.toml b/benchmark/Project.toml new file mode 100644 index 0000000..5799f40 --- /dev/null +++ b/benchmark/Project.toml @@ -0,0 +1,10 @@ +[deps] +BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf" +ComplementaritySolve = "b40a91a3-bdaf-4e1c-b965-8c278a33a8d3" +DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" +Pkg = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f" +Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" +PyPlot = "d330b81b-6aea-500a-939a-2ce795aea3ee" +StableRNGs = "860ef19b-820b-49d6-a774-d7a799459cd3" +StatsPlots = "f3b207a7-027a-5e70-b257-86293d7955fd" +Weave = "44d3d7a6-8a23-5bf8-98c5-b353f8df5ec9" diff --git a/benchmark/README.md b/benchmark/README.md new file mode 100644 index 0000000..c129c0b --- /dev/null +++ b/benchmark/README.md @@ -0,0 +1,4 @@ +# ComplementaritySolve.jl Benchmarks + +These benchmarks are written using `Weave.jl`, so that we can eventually add them to +`SciMLBenchmarks.jl`. diff --git a/benchmark/benchmarks.jl b/benchmark/benchmarks.jl new file mode 100644 index 0000000..6508c63 --- /dev/null +++ b/benchmark/benchmarks.jl @@ -0,0 +1,10 @@ +using Weave + +dirs = filter(isdir, joinpath.(@__DIR__, readdir(@__DIR__))) + +for dir in dirs + files = filter(x -> endswith(x, ".jmd"), readdir(dir)) + for file in files + weave(joinpath(dir, file)) + end +end diff --git a/benchmark/lcp/jl_4yIcVo/solvers_5_1.png b/benchmark/lcp/jl_4yIcVo/solvers_5_1.png new file mode 100644 index 0000000000000000000000000000000000000000..17fb647d366c0ec30a3fbda0945b62fbb445fec8 GIT binary patch literal 24697 zcmdtLc|4cxx;B23DYG&)l2V~ik_J(T<|IPMRM8+qGGw0Tq>_q^DIr73JkLd;6lIhjjy~ow_thJx@?zQ(```!DG-{;rovsO#K!+l@(b)DyN9OrSK%TM))3LEoMW{RTN z_U}_tqbOP%ilTYX#DIU9jxP7dU)!zsYFQsQKWlAkXmy4NsxbZj-vEG z?N{2PZWl4sX0LmA>KEfklUc{xM4_k3F&jR_?fdXF^)06qztow4^u?8ux6@7T#%!*w z<{vOntG-jhc{tN_!^YdZ7tS4PoSN%un#vXZXucx#bC0D!aL#AP*PjdP9$mQlb9?w9 zPC6PT{88@{5y_>5@JDnRs}1>=MI{C*_-hT`3YatsM+Dq*;aiot$rovI|T;?ZJekRN<6?n=)3RMM9tVx*yG0{5%=$pRtdPQ z&&?MSIg(xd;>DibyQzqX2m@17rYl#jXlZL3{`k^hW%#wtvZ20ycbPX^*U(VVg9i`P z-eusE5AdiuPxbL7YiB4ooZ&pS@bP-wR-z;C#*>~quJrHbq+25_yh>7%bC<(-`Eb#% zYwZONVN;*qrRXiYd-txYhQ`M4g)BGk-u0tdz#zD78~^*@OjuHedj6qrWC!h 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+
+
+
+ + + +
+ +

Benchmarking Available LCP Solvers

+ + +

Load Dependencies

+ + +
+using BenchmarkTools, ComplementaritySolve, DataFrames, PyPlot, StableRNGs
+
+ + + +

Basic LCP

+ + +
+A₁ = [2.0 1; 1 2.0]
+q₁ = [-5.0, 6.0]
+
+ + +
+2-element Vector{Float64}:
+ -5.0
+  6.0
+
+ + +

Unbatched Version

+ + +
+SOLVERS = [BokhovenIterativeAlgorithm(),
+    RPSOR(; ω=1.0, ρ=0.1),
+    PGS(),
+    RPGS(),
+    InteriorPointMethod(),
+    NonlinearReformulation(),
+]
+times = zeros(length(SOLVERS), 2)
+solvers = ["Bok.", "RPSOR", "PGS", "RPGS", "IPM", "NLR"]
+
+for (i, solver) in enumerate(SOLVERS)
+    prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2))
+    prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2))
+    times[i, 1] = @belapsed solve($prob_iip, $solver)
+    times[i, 2] = @belapsed solve($prob_oop, $solver)
+end
+
+ + + + +
+xloc = 1:length(solvers)
+width = 0.25  # the width of the bars
+multiplier = 0
+fig, ax = subplots(layout="constrained")
+ax.set_yscale("log")
+
+for (i, group) in enumerate(["Inplace", "Out of Place"])
+    global multiplier
+    offset = width * multiplier
+    rects = ax.bar(xloc .+ offset, times[:, i], width, label=group)
+    for (j, rect) in enumerate(rects)
+        height = rect.get_height()
+        ax.annotate("$(round(times[j, i] * 10^6; digits=2))μs",
+                    xy=(rect.get_x() + rect.get_width() / 2, height),
+                    xytext=(0, 3),  # 3 points vertical offset
+                    textcoords="offset points",
+                    ha="center", va="bottom")
+    end
+    multiplier += 1
+end
+
+ax.set_ylabel("Times (s)")
+ax.set_title("Basic LCP Unbatched")
+ax.set_xticks(xloc .+ width, solvers)
+ax.legend(loc="upper right", ncols=3)
+fig.tight_layout()
+fig
+
+ + + + +

Batched Version

+

Here we are batching the Problem with N starting values (typically batching LCPs involves batching multiple M and q)

+ + +
+ +
+
+
+ + + diff --git a/benchmark/lcp/solvers.jmd b/benchmark/lcp/solvers.jmd new file mode 100644 index 0000000..886b6fb --- /dev/null +++ b/benchmark/lcp/solvers.jmd @@ -0,0 +1,131 @@ +# Benchmarking Available LCP Solvers + +```julia; echo = false +import Pkg +Pkg.activate(joinpath(@__DIR__, "..")) +``` + +## Load Dependencies + +```julia +using BenchmarkTools, ComplementaritySolve, DataFrames, PyPlot, StableRNGs +``` + +## Basic LCP + +```julia +A₁ = [2.0 1; 1 2.0] +q₁ = [-5.0, 6.0] +``` + +### Unbatched Version + +```julia +SOLVERS = [BokhovenIterativeAlgorithm(), + RPSOR(; ω=1.0, ρ=0.1), + PGS(), + RPGS(), + InteriorPointMethod(), + NonlinearReformulation(), +] +times = zeros(length(SOLVERS), 2) +solvers = ["Bok.", "RPSOR", "PGS", "RPGS", "IPM", "NLR"] + +for (i, solver) in enumerate(SOLVERS) + prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2)) + prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2)) + times[i, 1] = @belapsed solve($prob_iip, $solver) + times[i, 2] = @belapsed solve($prob_oop, $solver) +end +``` + +```julia +xloc = 1:length(solvers) +width = 0.4 # the width of the bars +multiplier = 0 +fig, ax = subplots(layout="constrained") +ax.set_yscale("log") + +for (i, group) in enumerate(["Inplace", "Out of Place"]) + global multiplier + offset = width * multiplier + rects = ax.bar(xloc .+ offset, times[:, i], width, label=group) + for (j, rect) in enumerate(rects) + height = rect.get_height() + ax.annotate("$(round(times[j, i] * 10^6; digits=2))μs", + xy=(rect.get_x() + rect.get_width() / 2, height), + xytext=(0, 3), # 3 points vertical offset + textcoords="offset points", + ha="center", va="bottom") + end + multiplier += 1 +end + +ax.set_ylabel("Times (s)") +ax.set_title("Basic LCP Unbatched") +ax.set_xticks(xloc .+ width ./ 2, solvers) +ax.legend(loc="upper right", ncols=3) +fig.tight_layout() +fig +``` + +### Batched Version + +Here we are batching the Problem with `N` starting values (typically batching LCPs involves +batching multiple `M` and `q`) + + +```julia +SOLVERS = [BokhovenIterativeAlgorithm(), + RPSOR(; ω=1.0, ρ=0.1), + PGS(), + RPGS(), + InteriorPointMethod(), + NonlinearReformulation(), +] +BATCH_SIZES = 2 .^ 1:2:11 +times = zeros(length(SOLVERS), length(BATCH_SIZES), 2) +solvers = ["Bok.", "RPSOR", "PGS", "RPGS", "IPM", "NLR"] + +for (i, solver) in enumerate(SOLVERS) + for (j, N) in enumerate(BATCH_SIZES) + prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2, N)) + prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2, N)) + times[i, j, 1] = @elapsed solve(prob_iip, solver) + times[i, j, 2] = @elapsed solve(prob_oop, solver) + end +end +``` + + +```julia +xloc = 1:length(solvers) +width = 0.4 # the width of the bars +multiplier = 0 +fig, ax = subplots(layout="constrained") +ax.set_yscale("log") + +for (i, group) in enumerate(["Inplace", "Out of Place"]) + global multiplier + offset = width * multiplier + rects = ax.bar(xloc .+ offset, times[:, i], width, label=group) + for (j, rect) in enumerate(rects) + height = rect.get_height() + ax.annotate("$(round(times[j, i] * 10^6; digits=2))μs", + xy=(rect.get_x() + rect.get_width() / 2, height), + xytext=(0, 3), # 3 points vertical offset + textcoords="offset points", + ha="center", va="bottom") + end + multiplier += 1 +end + +ax.set_ylabel("Times (s)") +ax.set_title("Basic LCP Unbatched") +ax.set_xticks(xloc .+ width ./ 2, solvers) +ax.legend(loc="upper right", ncols=3) +fig.tight_layout() +fig +``` + + diff --git a/src/algorithms/lcp/fallback.jl b/src/algorithms/lcp/fallback.jl index 67e20d7..af4490e 100644 --- a/src/algorithms/lcp/fallback.jl +++ b/src/algorithms/lcp/fallback.jl @@ -1,4 +1,5 @@ -@views function __solve(prob::LinearComplementarityProblem{iip, true}, +# Can't use views here because it fails for some downstream solvers +function __solve(prob::LinearComplementarityProblem{iip, true}, solver::AbstractComplementarityAlgorithm, u0, M, From 84907d720110f74f46982b05172dd1aa6ab615d2 Mon Sep 17 00:00:00 2001 From: Avik Pal Date: Fri, 21 Jul 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-
-
-
- - - -
- -

Benchmarking Available LCP Solvers

- - -

Load Dependencies

- - -
-using BenchmarkTools, ComplementaritySolve, DataFrames, PyPlot, StableRNGs
-
- - - -

Basic LCP

- - -
-A₁ = [2.0 1; 1 2.0]
-q₁ = [-5.0, 6.0]
-
- - -
-2-element Vector{Float64}:
- -5.0
-  6.0
-
- - -

Unbatched Version

- - -
-SOLVERS = [BokhovenIterativeAlgorithm(),
-    RPSOR(; ω=1.0, ρ=0.1),
-    PGS(),
-    RPGS(),
-    InteriorPointMethod(),
-    NonlinearReformulation(),
-]
-times = zeros(length(SOLVERS), 2)
-solvers = ["Bok.", "RPSOR", "PGS", "RPGS", "IPM", "NLR"]
-
-for (i, solver) in enumerate(SOLVERS)
-    prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2))
-    prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2))
-    times[i, 1] = @belapsed solve($prob_iip, $solver)
-    times[i, 2] = @belapsed solve($prob_oop, $solver)
-end
-
- - - - -
-xloc = 1:length(solvers)
-width = 0.25  # the width of the bars
-multiplier = 0
-fig, ax = subplots(layout="constrained")
-ax.set_yscale("log")
-
-for (i, group) in enumerate(["Inplace", "Out of Place"])
-    global multiplier
-    offset = width * multiplier
-    rects = ax.bar(xloc .+ offset, times[:, i], width, label=group)
-    for (j, rect) in enumerate(rects)
-        height = rect.get_height()
-        ax.annotate("$(round(times[j, i] * 10^6; digits=2))μs",
-                    xy=(rect.get_x() + rect.get_width() / 2, height),
-                    xytext=(0, 3),  # 3 points vertical offset
-                    textcoords="offset points",
-                    ha="center", va="bottom")
-    end
-    multiplier += 1
-end
-
-ax.set_ylabel("Times (s)")
-ax.set_title("Basic LCP Unbatched")
-ax.set_xticks(xloc .+ width, solvers)
-ax.legend(loc="upper right", ncols=3)
-fig.tight_layout()
-fig
-
- - - - -

Batched Version

-

Here we are batching the Problem with N starting values (typically batching LCPs involves batching multiple M and q)

- - -
- -
-
-
- - - From fd1d9b2ff2c3d668825250446ae036c0637f95ac Mon Sep 17 00:00:00 2001 From: Avik Pal Date: Sat, 29 Jul 2023 19:44:44 -0400 Subject: [PATCH 3/6] Add benchmarks for batched versions --- benchmark/Project.toml | 2 + benchmark/benchmarks.jl | 21 ++++-- benchmark/lcp/solvers.jmd | 133 +++++++++++++++++++++----------------- benchmark/lcp/solvers.pdf | Bin 0 -> 53139 bytes 4 files changed, 90 insertions(+), 66 deletions(-) create mode 100644 benchmark/lcp/solvers.pdf diff --git a/benchmark/Project.toml b/benchmark/Project.toml index 5799f40..1f5ee29 100644 --- a/benchmark/Project.toml +++ b/benchmark/Project.toml @@ -2,9 +2,11 @@ BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf" ComplementaritySolve = "b40a91a3-bdaf-4e1c-b965-8c278a33a8d3" DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" +NonlinearSolve = "8913a72c-1f9b-4ce2-8d82-65094dcecaec" Pkg = "44cfe95a-1eb2-52ea-b672-e2afdf69b78f" Plots = "91a5bcdd-55d7-5caf-9e0b-520d859cae80" PyPlot = "d330b81b-6aea-500a-939a-2ce795aea3ee" +SciMLBenchmarks = "31c91b34-3c75-11e9-0341-95557aab0344" StableRNGs = "860ef19b-820b-49d6-a774-d7a799459cd3" StatsPlots = "f3b207a7-027a-5e70-b257-86293d7955fd" Weave = "44d3d7a6-8a23-5bf8-98c5-b353f8df5ec9" diff --git a/benchmark/benchmarks.jl b/benchmark/benchmarks.jl index 6508c63..a951434 100644 --- a/benchmark/benchmarks.jl +++ b/benchmark/benchmarks.jl @@ -1,10 +1,17 @@ -using Weave +using Weave, SciMLBenchmarks -dirs = filter(isdir, joinpath.(@__DIR__, readdir(@__DIR__))) - -for dir in dirs - files = filter(x -> endswith(x, ".jmd"), readdir(dir)) - for file in files - weave(joinpath(dir, file)) +function findall_jmd_files(dir=@__DIR__) + paths = String[] + for p in readdir(dir) + if isdir(joinpath(dir, p)) + append!(paths, findall_jmd_files(joinpath(dir, p))) + elseif endswith(p, ".jmd") + push!(paths, joinpath(dir, p)) + end end + return paths end + +files = findall_jmd_files() + +foreach(f -> SciMLBenchmarks.weave(splitdir(f)..., (:script, :github, :pdf)), files) diff --git a/benchmark/lcp/solvers.jmd b/benchmark/lcp/solvers.jmd index 886b6fb..20eb6e7 100644 --- a/benchmark/lcp/solvers.jmd +++ b/benchmark/lcp/solvers.jmd @@ -8,7 +8,7 @@ Pkg.activate(joinpath(@__DIR__, "..")) ## Load Dependencies ```julia -using BenchmarkTools, ComplementaritySolve, DataFrames, PyPlot, StableRNGs +using BenchmarkTools, ComplementaritySolve, DataFrames, NonlinearSolve, PyPlot, StableRNGs ``` ## Basic LCP @@ -27,11 +27,13 @@ SOLVERS = [BokhovenIterativeAlgorithm(), RPGS(), InteriorPointMethod(), NonlinearReformulation(), + NonlinearReformulation(:smooth, Broyden(; batched=true)), ] times = zeros(length(SOLVERS), 2) -solvers = ["Bok.", "RPSOR", "PGS", "RPGS", "IPM", "NLR"] +solvers = ["Bok.", "RPSOR", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (Broyden)"] for (i, solver) in enumerate(SOLVERS) + @info "Benchmarking $(solvers[i])" prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2)) prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2)) times[i, 1] = @belapsed solve($prob_iip, $solver) @@ -40,33 +42,34 @@ end ``` ```julia -xloc = 1:length(solvers) -width = 0.4 # the width of the bars -multiplier = 0 -fig, ax = subplots(layout="constrained") -ax.set_yscale("log") - -for (i, group) in enumerate(["Inplace", "Out of Place"]) - global multiplier - offset = width * multiplier - rects = ax.bar(xloc .+ offset, times[:, i], width, label=group) - for (j, rect) in enumerate(rects) - height = rect.get_height() - ax.annotate("$(round(times[j, i] * 10^6; digits=2))μs", - xy=(rect.get_x() + rect.get_width() / 2, height), - xytext=(0, 3), # 3 points vertical offset - textcoords="offset points", - ha="center", va="bottom") +let _=plt.xkcd() + xloc = 1:length(solvers) + width = 0.4 # the width of the bars + multiplier = 0 + fig, ax = subplots(layout="constrained", figsize=(14, 6)) + ax.set_yscale("log") + + for (i, group) in enumerate(["Inplace", "Out of Place"]) + offset = width * multiplier + rects = ax.bar(xloc .+ offset, times[:, i], width, label=group) + for (j, rect) in enumerate(rects) + height = rect.get_height() + ax.annotate("$(round(times[j, i] * 10^6; digits=2))μs", + xy=(rect.get_x() + rect.get_width() / 2, height), + xytext=(0, 3), # 3 points vertical offset + textcoords="offset points", + ha="center", va="bottom") + end + multiplier += 1 end - multiplier += 1 -end -ax.set_ylabel("Times (s)") -ax.set_title("Basic LCP Unbatched") -ax.set_xticks(xloc .+ width ./ 2, solvers) -ax.legend(loc="upper right", ncols=3) -fig.tight_layout() -fig + ax.set_ylabel("Times (s)") + ax.set_title("Basic LCP Unbatched") + ax.set_xticks(xloc .+ width ./ 2, solvers) + ax.legend(ncols=3) + fig.tight_layout() + fig +end ``` ### Batched Version @@ -81,51 +84,63 @@ SOLVERS = [BokhovenIterativeAlgorithm(), PGS(), RPGS(), InteriorPointMethod(), - NonlinearReformulation(), + NonlinearReformulation(:smooth, SimpleNewtonRaphson(; batched=true)), + NonlinearReformulation(:smooth, SimpleDFSane(; batched=true)), + NonlinearReformulation(:smooth, Broyden(; batched=true)), ] -BATCH_SIZES = 2 .^ 1:2:11 +BATCH_SIZES = 2 .^ (1:2:11) times = zeros(length(SOLVERS), length(BATCH_SIZES), 2) -solvers = ["Bok.", "RPSOR", "PGS", "RPGS", "IPM", "NLR"] +solvers = ["Bok.", "RPSOR", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (DFSane)", "NLR (Broyden)"] for (i, solver) in enumerate(SOLVERS) + @info "Benchmarking $(solvers[i])" for (j, N) in enumerate(BATCH_SIZES) prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2, N)) prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2, N)) - times[i, j, 1] = @elapsed solve(prob_iip, solver) - times[i, j, 2] = @elapsed solve(prob_oop, solver) + times[i, j, 2] = @belapsed solve($prob_oop, $solver) + if i == 6 + times[i, j, 1] = -1 # SimpleNewtonRaphson is not implemented for inplace + continue + end + times[i, j, 1] = @belapsed solve($prob_iip, $solver) end end ``` - ```julia -xloc = 1:length(solvers) -width = 0.4 # the width of the bars -multiplier = 0 -fig, ax = subplots(layout="constrained") -ax.set_yscale("log") - -for (i, group) in enumerate(["Inplace", "Out of Place"]) - global multiplier - offset = width * multiplier - rects = ax.bar(xloc .+ offset, times[:, i], width, label=group) - for (j, rect) in enumerate(rects) - height = rect.get_height() - ax.annotate("$(round(times[j, i] * 10^6; digits=2))μs", - xy=(rect.get_x() + rect.get_width() / 2, height), - xytext=(0, 3), # 3 points vertical offset - textcoords="offset points", - ha="center", va="bottom") +let _=plt.xkcd() + prop_cycle = plt.rcParams["axes.prop_cycle"] + colors = prop_cycle.by_key()["color"] + fig, (ax1, ax2) = subplots(1, 2; layout="constrained", sharey=true, sharex=true, figsize=(16, 6)) + ax1.set_yscale("log") + ax1.set_xscale("log") + + fig.suptitle("Basic LCP Batched") + ax1.set_title("In-Place Solvers") + ax2.set_title("Out-Of-Place Solvers") + + for (j, solver) in enumerate(solvers) + if !any(times[j, :, 1] .< 0) + ax1.plot(BATCH_SIZES, times[j, :, 1]; label=solver, color=colors[j]) + ax1.scatter(BATCH_SIZES, times[j, :, 1]; color=colors[j]) + end + if !any(times[j, :, 2] .< 0) + ax2.plot(BATCH_SIZES, times[j, :, 2]; label=solver, color=colors[j]) + ax2.scatter(BATCH_SIZES, times[j, :, 2]; color=colors[j]) + end end - multiplier += 1 -end -ax.set_ylabel("Times (s)") -ax.set_title("Basic LCP Unbatched") -ax.set_xticks(xloc .+ width ./ 2, solvers) -ax.legend(loc="upper right", ncols=3) -fig.tight_layout() -fig + ax1.set_ylabel("Times (s)") + ax1.set_xlabel("Batch Size") + ax2.set_xlabel("Batch Size") + ax1.legend(ncols=3) + ax2.legend(ncols=3) + fig.tight_layout() + fig +end ``` - +```julia, echo = false +import SciMLBenchmarks +SciMLBenchmarks.bench_footer(@__DIR__, @__FILE__) +``` diff --git a/benchmark/lcp/solvers.pdf b/benchmark/lcp/solvers.pdf new file mode 100644 index 0000000000000000000000000000000000000000..ceb82260d60215dfa5c7a6a06756243d85d3d0e6 GIT binary patch literal 53139 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89635 bytes .../markdown/lcp/figures/solvers_8_1.png | Bin 0 -> 167853 bytes benchmark/generated/markdown/lcp/solvers.md | 502 ++++++++++++++++++ benchmark/generated/script/lcp/solvers.jl | 135 +++++ benchmark/lcp/solvers.jmd | 47 +- benchmark/lcp/solvers.pdf | Bin 53139 -> 0 bytes 9 files changed, 672 insertions(+), 18 deletions(-) create mode 100644 benchmark/generated/markdown/lcp/figures/solvers_5_1.png create mode 100644 benchmark/generated/markdown/lcp/figures/solvers_6_1.png create mode 100644 benchmark/generated/markdown/lcp/figures/solvers_7_1.png create mode 100644 benchmark/generated/markdown/lcp/figures/solvers_8_1.png create mode 100644 benchmark/generated/markdown/lcp/solvers.md create mode 100644 benchmark/generated/script/lcp/solvers.jl delete mode 100644 benchmark/lcp/solvers.pdf diff --git a/benchmark/benchmarks.jl b/benchmark/benchmarks.jl index a951434..9641be1 100644 --- a/benchmark/benchmarks.jl +++ b/benchmark/benchmarks.jl @@ -1,5 +1,7 @@ using Weave, 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b/benchmark/generated/markdown/lcp/solvers.md @@ -6,15 +6,24 @@ ## Useful Functions ```julia -using Statistics +using CUDA, Statistics -function timer(f, args...; numtimes=5) +CUDA.allowscalar(false) + +iscuda(args...) = any(Base.Fix2(isa, CUDA.AnyCuArray), args) + +function timer(f, args...; numtimes::Int=10) + cuda_mode = iscuda(args...) f(args...) # compile times = zeros(numtimes) - for i in 1:numtimes - times[i] = @elapsed f(args...) + for i in eachindex(times) + if cuda_mode + times[i] = @elapsed CUDA.@sync f(args...) + else + times[i] = @elapsed f(args...) + end end - return median(times) + return minimum(times) end ``` @@ -52,7 +61,9 @@ q₁ = [-5.0, 6.0] -### Unbatched Version +### CPU Benchmarks + +#### Unbatched Version ```julia SOLVERS = [BokhovenIterativeAlgorithm(), @@ -66,7 +77,7 @@ times = zeros(length(SOLVERS), 2) solvers = ["Bok.", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (Broyden)"] for (i, solver) in enumerate(SOLVERS) - @info "UNBATCHED: Benchmarking $(solvers[i])" + @info "[CPU] UNBATCHED: Benchmarking $(solvers[i])" prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2)) prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2)) times[i, 1] = timer(solve, prob_iip, solver) @@ -79,14 +90,14 @@ end -### Batched Version +#### Batched Version Here we are batching the Problem with `N` starting values (typically batching LCPs involves batching multiple `M` and `q`) ```julia -SOLVERS = [BokhovenIterativeAlgorithm(), +SOLVERS = [BokhovenIterativeAlgorithm(Broyden(; batched=true)), PGS(), RPGS(), InteriorPointMethod(), @@ -99,7 +110,7 @@ times = zeros(length(SOLVERS), length(BATCH_SIZES), 2) solvers = ["Bok.", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (DFSane)", "NLR (Broyden)"] for (i, solver) in enumerate(SOLVERS) - @info "BATCHED: Benchmarking $(solvers[i])" + @info "[CPU] BATCHED: Benchmarking $(solvers[i])" for (j, N) in enumerate(BATCH_SIZES) prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2, N)) prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2, N)) @@ -117,6 +128,75 @@ end ![](figures/solvers_8_1.png) + +### CUDA Benchmarks + +```julia +cuA₁ = [2.0 1; 1 2.0] |> cu +cuq₁ = [-5.0, 6.0] |> cu +``` + +``` +2-element CUDA.CuArray{Float32, 1, CUDA.Mem.DeviceBuffer}: + -5.0 + 6.0 +``` + + + + + +#### Unbatched Version + +```julia +SOLVERS = [BokhovenIterativeAlgorithm(Broyden(; batched=true)), + # InteriorPointMethod(), + NonlinearReformulation(:smooth, Broyden(; batched=true)), +] +times = zeros(length(SOLVERS), 2) +solvers = ["Bok.", "NLR (Broyden)"] + +for (i, solver) in enumerate(SOLVERS) + @info "[CUDA] UNBATCHED: Benchmarking $(solvers[i])" + prob_iip = LCP{true}(cuA₁, cuq₁, rand(StableRNG(0), 2) |> cu) + prob_oop = LCP{false}(cuA₁, cuq₁, rand(StableRNG(0), 2) |> cu) + times[i, 1] = timer(solve, prob_iip, solver) + times[i, 2] = timer(solve, prob_oop, solver) +end +``` + + +![](figures/solvers_11_1.png) + + + +#### Batched Version + + +```julia +SOLVERS = [BokhovenIterativeAlgorithm(Broyden(; batched=true)), + # InteriorPointMethod(), + NonlinearReformulation(:smooth, Broyden(; batched=true)), +] +BATCH_SIZES = 2 .^ (1:2:11) +times = zeros(length(SOLVERS), length(BATCH_SIZES), 2) +solvers = ["Bok.", "NLR (Broyden)"] + +for (i, solver) in enumerate(SOLVERS) + @info "[CUDA] BATCHED: Benchmarking $(solvers[i])" + for (j, N) in enumerate(BATCH_SIZES) + prob_iip = LCP{true}(cuA₁, cuq₁, rand(StableRNG(0), 2, N) |> cu) + prob_oop = LCP{false}(cuA₁, cuq₁, rand(StableRNG(0), 2, N) |> cu) + times[i, j, 2] = timer(solve, prob_oop, solver) + times[i, j, 1] = timer(solve, prob_iip, solver) + end +end +``` + + +![](figures/solvers_13_1.png) + + ## Appendix These benchmarks are a part of the SciMLBenchmarks.jl repository, found at: [https://github.com/SciML/SciMLBenchmarks.jl](https://github.com/SciML/SciMLBenchmarks.jl). For more information on high-performance scientific machine learning, check out the SciML Open Source Software Organization [https://sciml.ai](https://sciml.ai). @@ -131,15 +211,15 @@ SciMLBenchmarks.weave_file("/mnt/research/ComplementaritySolve.jl/benchmark/lcp" Computer Information: ``` -Julia Version 1.10.0-beta1 -Commit 6616549950e (2023-07-25 17:43 UTC) +Julia Version 1.9.2 +Commit e4ee485e909 (2023-07-05 09:39 UTC) Platform Info: OS: Linux (x86_64-linux-gnu) CPU: 12 × AMD Ryzen 5 4600H with Radeon Graphics WORD_SIZE: 64 LIBM: libopenlibm - LLVM: libLLVM-15.0.7 (ORCJIT, znver2) - Threads: 11 on 12 virtual cores + LLVM: libLLVM-14.0.6 (ORCJIT, znver2) + Threads: 8 on 12 virtual cores Environment: JULIA_PKG_USE_CLI_GIT = true JULIA_DEPOT_PATH = /mnt/julia: @@ -151,6 +231,7 @@ Package Information: ``` Status `/mnt/research/ComplementaritySolve.jl/benchmark/Project.toml` [6e4b80f9] BenchmarkTools v1.3.2 + [052768ef] CUDA v4.4.0 [b40a91a3] ComplementaritySolve v0.1.0 `..` [a93c6f00] DataFrames v1.6.1 [8913a72c] NonlinearSolve v1.8.0 @@ -176,11 +257,14 @@ Status `/mnt/research/ComplementaritySolve.jl/benchmark/Manifest.toml` [30b0a656] ArrayInterfaceCore v0.1.29 [a9b6321e] Atomix v0.1.0 [13072b0f] AxisAlgorithms v1.0.1 + [ab4f0b2a] BFloat16s v0.4.2 [6e4b80f9] BenchmarkTools v1.3.2 [d1d4a3ce] BitFlags v0.1.7 [62783981] BitTwiddlingConvenienceFunctions v0.1.5 [fa961155] CEnum v0.4.2 [2a0fbf3d] CPUSummary v0.2.3 + [052768ef] CUDA v4.4.0 + [1af6417a] CUDA_Runtime_Discovery v0.2.2 [49dc2e85] Calculus v0.5.1 [082447d4] ChainRules v1.53.0 [d360d2e6] ChainRulesCore v1.16.0 @@ -232,6 +316,7 @@ Status `/mnt/research/ComplementaritySolve.jl/benchmark/Manifest.toml` [77dc65aa] FunctionWrappersWrappers v0.1.3 [0c68f7d7] GPUArrays v8.8.1 [46192b85] GPUArraysCore v0.1.5 + [61eb1bfa] GPUCompiler v0.21.4 [28b8d3ca] GR v0.72.9 ⌃ [d7ba0133] Git v1.2.1 [86223c79] Graphs v1.8.0 @@ -302,6 +387,8 @@ Status `/mnt/research/ComplementaritySolve.jl/benchmark/Manifest.toml` [438e738f] PyCall v1.96.1 [d330b81b] PyPlot v2.11.1 [1fd47b50] QuadGK v2.8.2 + [74087812] Random123 v1.6.1 + [e6cf234a] RandomNumbers v1.5.3 [c84ed2f1] Ratios v0.4.5 [c1ae055f] RealDot v0.1.0 [3cdcf5f2] RecipesBase v1.3.4 @@ -350,6 +437,7 @@ Status `/mnt/research/ComplementaritySolve.jl/benchmark/Manifest.toml` [bd369af6] Tables v1.10.1 [62fd8b95] TensorCore v0.1.1 [8290d209] ThreadingUtilities v0.5.2 + [a759f4b9] TimerOutputs v0.5.23 [3bb67fe8] TranscodingStreams v0.9.13 [d5829a12] TriangularSolve v0.1.19 [410a4b4d] Tricks v0.1.7 @@ -374,6 +462,8 @@ Status `/mnt/research/ComplementaritySolve.jl/benchmark/Manifest.toml` [700de1a5] ZygoteRules v0.2.3 ⌅ [68821587] Arpack_jll v3.5.1+1 [6e34b625] Bzip2_jll v1.0.8+0 + [4ee394cb] CUDA_Driver_jll v0.5.0+1 + [76a88914] CUDA_Runtime_jll v0.6.0+0 [83423d85] Cairo_jll v1.16.1+1 [2e619515] Expat_jll v2.5.0+0 [b22a6f82] FFMPEG_jll v4.4.2+2 diff --git a/benchmark/generated/script/lcp/solvers.jl b/benchmark/generated/script/lcp/solvers.jl index da59467..4ae4e3f 100644 --- a/benchmark/generated/script/lcp/solvers.jl +++ b/benchmark/generated/script/lcp/solvers.jl @@ -3,15 +3,24 @@ import Pkg Pkg.activate(joinpath(@__DIR__, "..")) -using Statistics +using CUDA, Statistics -function timer(f, args...; numtimes=5) +CUDA.allowscalar(false) + +iscuda(args...) = any(Base.Fix2(isa, CUDA.AnyCuArray), args) + +function timer(f, args...; numtimes::Int=10) + cuda_mode = iscuda(args...) f(args...) # compile times = zeros(numtimes) - for i in 1:numtimes - times[i] = @elapsed f(args...) + for i in eachindex(times) + if cuda_mode + times[i] = @elapsed CUDA.@sync f(args...) + else + times[i] = @elapsed f(args...) + end end - return median(times) + return minimum(times) end @@ -33,7 +42,7 @@ times = zeros(length(SOLVERS), 2) solvers = ["Bok.", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (Broyden)"] for (i, solver) in enumerate(SOLVERS) - @info "UNBATCHED: Benchmarking $(solvers[i])" + @info "[CPU] UNBATCHED: Benchmarking $(solvers[i])" prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2)) prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2)) times[i, 1] = timer(solve, prob_iip, solver) @@ -63,7 +72,7 @@ let _=plt.xkcd() end ax.set_ylabel("Times (s)") - ax.set_title("UNBATCHED: Basic LCP") + ax.set_title("[CPU] UNBATCHED: Basic LCP") ax.set_xticks(xloc .+ width ./ 2, solvers) ax.legend(ncols=3) fig.tight_layout() @@ -71,7 +80,7 @@ let _=plt.xkcd() end -SOLVERS = [BokhovenIterativeAlgorithm(), +SOLVERS = [BokhovenIterativeAlgorithm(Broyden(; batched=true)), PGS(), RPGS(), InteriorPointMethod(), @@ -84,7 +93,7 @@ times = zeros(length(SOLVERS), length(BATCH_SIZES), 2) solvers = ["Bok.", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (DFSane)", "NLR (Broyden)"] for (i, solver) in enumerate(SOLVERS) - @info "BATCHED: Benchmarking $(solvers[i])" + @info "[CPU] BATCHED: Benchmarking $(solvers[i])" for (j, N) in enumerate(BATCH_SIZES) prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2, N)) prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2, N)) @@ -105,7 +114,108 @@ let _=plt.xkcd() ax1.set_yscale("log") ax1.set_xscale("log") - fig.suptitle("BATCHED: Basic LCP") + fig.suptitle("[CPU] BATCHED: Basic LCP") + ax1.set_title("In-Place Solvers") + ax2.set_title("Out-Of-Place Solvers") + + for (j, solver) in enumerate(solvers) + if !any(times[j, :, 1] .< 0) + ax1.plot(BATCH_SIZES, times[j, :, 1]; label=solver, color=colors[j]) + ax1.scatter(BATCH_SIZES, times[j, :, 1]; color=colors[j]) + end + if !any(times[j, :, 2] .< 0) + ax2.plot(BATCH_SIZES, times[j, :, 2]; label=solver, color=colors[j]) + ax2.scatter(BATCH_SIZES, times[j, :, 2]; color=colors[j]) + end + end + + ax1.set_ylabel("Times (s)") + ax1.set_xlabel("Batch Size") + ax2.set_xlabel("Batch Size") + # ax1.legend(ncols=3) + ax2.legend(ncols=3) + fig.tight_layout() + fig +end + + +cuA₁ = [2.0 1; 1 2.0] |> cu +cuq₁ = [-5.0, 6.0] |> cu + + +SOLVERS = [BokhovenIterativeAlgorithm(Broyden(; batched=true)), + # InteriorPointMethod(), + NonlinearReformulation(:smooth, Broyden(; batched=true)), +] +times = zeros(length(SOLVERS), 2) +solvers = ["Bok.", "NLR (Broyden)"] + +for (i, solver) in enumerate(SOLVERS) + @info "[CUDA] UNBATCHED: Benchmarking $(solvers[i])" + prob_iip = LCP{true}(cuA₁, cuq₁, rand(StableRNG(0), 2) |> cu) + prob_oop = LCP{false}(cuA₁, cuq₁, rand(StableRNG(0), 2) |> cu) + times[i, 1] = timer(solve, prob_iip, solver) + times[i, 2] = timer(solve, prob_oop, solver) +end + + +let _=plt.xkcd() + xloc = 1:length(solvers) + width = 0.4 # the width of the bars + multiplier = 0 + fig, ax = subplots(layout="constrained", figsize=(14, 6)) + ax.set_yscale("log") + + for (i, group) in enumerate(["Inplace", "Out of Place"]) + offset = width * multiplier + rects = ax.bar(xloc .+ offset, times[:, i], width, label=group) + for (j, rect) in enumerate(rects) + height = rect.get_height() + ax.annotate("$(round(times[j, i] * 10^6; digits=2))μs", + xy=(rect.get_x() + rect.get_width() / 2, height), + xytext=(0, 3), # 3 points vertical offset + textcoords="offset points", + ha="center", va="bottom") + end + multiplier += 1 + end + + ax.set_ylabel("Times (s)") + ax.set_title("[CUDA] UNBATCHED: Basic LCP") + ax.set_xticks(xloc .+ width ./ 2, solvers) + ax.legend(ncols=3) + fig.tight_layout() + fig +end + + +SOLVERS = [BokhovenIterativeAlgorithm(Broyden(; batched=true)), + # InteriorPointMethod(), + NonlinearReformulation(:smooth, Broyden(; batched=true)), +] +BATCH_SIZES = 2 .^ (1:2:11) +times = zeros(length(SOLVERS), length(BATCH_SIZES), 2) +solvers = ["Bok.", "NLR (Broyden)"] + +for (i, solver) in enumerate(SOLVERS) + @info "[CUDA] BATCHED: Benchmarking $(solvers[i])" + for (j, N) in enumerate(BATCH_SIZES) + prob_iip = LCP{true}(cuA₁, cuq₁, rand(StableRNG(0), 2, N) |> cu) + prob_oop = LCP{false}(cuA₁, cuq₁, rand(StableRNG(0), 2, N) |> cu) + times[i, j, 2] = timer(solve, prob_oop, solver) + times[i, j, 1] = timer(solve, prob_iip, solver) + end +end + + +let _=plt.xkcd() + prop_cycle = plt.rcParams["axes.prop_cycle"] + colors = prop_cycle.by_key()["color"] + fig, (ax1, ax2) = subplots(1, 2; layout="constrained", sharey=true, sharex=true, figsize=(16, 6)) + ax1.set_yscale("log") + ax1.set_xscale("log") + + fig.suptitle("[CUDA] BATCHED: Basic LCP") ax1.set_title("In-Place Solvers") ax2.set_title("Out-Of-Place Solvers") diff --git a/benchmark/lcp/solvers.jmd b/benchmark/lcp/solvers.jmd index a28219f..ea1280f 100644 --- a/benchmark/lcp/solvers.jmd +++ b/benchmark/lcp/solvers.jmd @@ -12,7 +12,10 @@ using CUDA, Statistics CUDA.allowscalar(false) -function timer(f, args...; cuda_mode::Bool=false, numtimes::Int=10) +iscuda(args...) = any(Base.Fix2(isa, CUDA.AnyCuArray), args) + +function timer(f, args...; numtimes::Int=5) + cuda_mode = iscuda(args...) f(args...) # compile times = zeros(numtimes) for i in eachindex(times) @@ -22,7 +25,7 @@ function timer(f, args...; cuda_mode::Bool=false, numtimes::Int=10) times[i] = @elapsed f(args...) end end - return median(times) + return minimum(times) end ``` @@ -55,7 +58,7 @@ times = zeros(length(SOLVERS), 2) solvers = ["Bok.", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (Broyden)"] for (i, solver) in enumerate(SOLVERS) - @info "UNBATCHED: Benchmarking $(solvers[i])" + @info "[CPU] UNBATCHED: Benchmarking $(solvers[i])" prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2)) prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2)) times[i, 1] = timer(solve, prob_iip, solver) @@ -86,7 +89,7 @@ let _=plt.xkcd() end ax.set_ylabel("Times (s)") - ax.set_title("UNBATCHED: Basic LCP") + ax.set_title("[CPU] UNBATCHED: Basic LCP") ax.set_xticks(xloc .+ width ./ 2, solvers) ax.legend(ncols=3) fig.tight_layout() @@ -101,7 +104,7 @@ batching multiple `M` and `q`) ```julia -SOLVERS = [BokhovenIterativeAlgorithm(), +SOLVERS = [BokhovenIterativeAlgorithm(Broyden(; batched=true)), PGS(), RPGS(), InteriorPointMethod(), @@ -114,7 +117,7 @@ times = zeros(length(SOLVERS), length(BATCH_SIZES), 2) solvers = ["Bok.", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (DFSane)", "NLR (Broyden)"] for (i, solver) in enumerate(SOLVERS) - @info "BATCHED: Benchmarking $(solvers[i])" + @info "[CPU] BATCHED: Benchmarking $(solvers[i])" for (j, N) in enumerate(BATCH_SIZES) prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2, N)) prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2, N)) @@ -136,7 +139,7 @@ let _=plt.xkcd() ax1.set_yscale("log") ax1.set_xscale("log") - fig.suptitle("BATCHED: Basic LCP") + fig.suptitle("[CPU] BATCHED: Basic LCP") ax1.set_title("In-Place Solvers") ax2.set_title("Out-Of-Place Solvers") @@ -161,7 +164,118 @@ let _=plt.xkcd() end ``` -### GPU Benchmarks (CUDA) +### CUDA Benchmarks + +```julia +cuA₁ = [2.0 1; 1 2.0] |> cu +cuq₁ = [-5.0, 6.0] |> cu +``` + +#### Unbatched Version + +```julia +SOLVERS = [BokhovenIterativeAlgorithm(Broyden(; batched=true)), + # InteriorPointMethod(), + NonlinearReformulation(:smooth, Broyden(; batched=true)), +] +times = zeros(length(SOLVERS), 2) +solvers = ["Bok.", "NLR (Broyden)"] + +for (i, solver) in enumerate(SOLVERS) + @info "[CUDA] UNBATCHED: Benchmarking $(solvers[i])" + prob_iip = LCP{true}(cuA₁, cuq₁, rand(StableRNG(0), 2) |> cu) + prob_oop = LCP{false}(cuA₁, cuq₁, rand(StableRNG(0), 2) |> cu) + times[i, 1] = timer(solve, prob_iip, solver) + times[i, 2] = timer(solve, prob_oop, solver) +end +``` + +```julia, echo = false +let _=plt.xkcd() + xloc = 1:length(solvers) + width = 0.4 # the width of the bars + multiplier = 0 + fig, ax = subplots(layout="constrained", figsize=(14, 6)) + ax.set_yscale("log") + + for (i, group) in enumerate(["Inplace", "Out of Place"]) + offset = width * multiplier + rects = ax.bar(xloc .+ offset, times[:, i], width, label=group) + for (j, rect) in enumerate(rects) + height = rect.get_height() + ax.annotate("$(round(times[j, i] * 10^6; digits=2))μs", + xy=(rect.get_x() + rect.get_width() / 2, height), + xytext=(0, 3), # 3 points vertical offset + textcoords="offset points", + ha="center", va="bottom") + end + multiplier += 1 + end + + ax.set_ylabel("Times (s)") + ax.set_title("[CUDA] UNBATCHED: Basic LCP") + ax.set_xticks(xloc .+ width ./ 2, solvers) + ax.legend(ncols=3) + fig.tight_layout() + fig +end +``` + +#### Batched Version + + +```julia +SOLVERS = [BokhovenIterativeAlgorithm(Broyden(; batched=true)), + # InteriorPointMethod(), + NonlinearReformulation(:smooth, Broyden(; batched=true)), +] +BATCH_SIZES = 2 .^ (1:2:11) +times = zeros(length(SOLVERS), length(BATCH_SIZES), 2) +solvers = ["Bok.", "NLR (Broyden)"] + +for (i, solver) in enumerate(SOLVERS) + @info "[CUDA] BATCHED: Benchmarking $(solvers[i])" + for (j, N) in enumerate(BATCH_SIZES) + prob_iip = LCP{true}(cuA₁, cuq₁, rand(StableRNG(0), 2, N) |> cu) + prob_oop = LCP{false}(cuA₁, cuq₁, rand(StableRNG(0), 2, N) |> cu) + times[i, j, 2] = timer(solve, prob_oop, solver) + times[i, j, 1] = timer(solve, prob_iip, solver) + end +end +``` + +```julia, echo = false +let _=plt.xkcd() + prop_cycle = plt.rcParams["axes.prop_cycle"] + colors = prop_cycle.by_key()["color"] + fig, (ax1, ax2) = subplots(1, 2; layout="constrained", sharey=true, sharex=true, figsize=(16, 6)) + ax1.set_yscale("log") + ax1.set_xscale("log") + + fig.suptitle("[CUDA] BATCHED: Basic LCP") + ax1.set_title("In-Place Solvers") + ax2.set_title("Out-Of-Place Solvers") + + for (j, solver) in enumerate(solvers) + if !any(times[j, :, 1] .< 0) + ax1.plot(BATCH_SIZES, times[j, :, 1]; label=solver, color=colors[j]) + ax1.scatter(BATCH_SIZES, times[j, :, 1]; color=colors[j]) + end + if !any(times[j, :, 2] .< 0) + ax2.plot(BATCH_SIZES, times[j, :, 2]; label=solver, color=colors[j]) + ax2.scatter(BATCH_SIZES, times[j, :, 2]; color=colors[j]) + end + end + + ax1.set_ylabel("Times (s)") + ax1.set_xlabel("Batch Size") + ax2.set_xlabel("Batch Size") + # ax1.legend(ncols=3) + ax2.legend(ncols=3) + fig.tight_layout() + fig +end +``` ```julia, echo = false import SciMLBenchmarks diff --git a/src/ComplementaritySolve.jl b/src/ComplementaritySolve.jl index cfc6162..00c3bbb 100644 --- a/src/ComplementaritySolve.jl +++ b/src/ComplementaritySolve.jl @@ -33,6 +33,25 @@ const AA3 = AbstractArray{T, 3} where {T} ### ----- Type Piracy Starts ----- ### ArrayInterfaceCore.can_setindex(::Type{<:AbstractFill}) = false ArrayInterfaceCore.can_setindex(::Zygote.OneElement) = false + +import LinearSolve: DefaultLinearSolver, DefaultAlgorithmChoice + +function LinearSolve.defaultalg(A::SciMLBase.AbstractSciMLOperator, + b::LinearSolve.GPUArraysCore.AbstractGPUArray, + assump::LinearSolve.OperatorAssumptions) + if has_ldiv!(A) + return DefaultLinearSolver(DefaultAlgorithmChoice.DirectLdiv!) + elseif !assump.issq + m, n = size(A) + if m < n + DefaultLinearSolver(DefaultAlgorithmChoice.KrylovJL_CRAIGMR) + else + DefaultLinearSolver(DefaultAlgorithmChoice.KrylovJL_LSMR) + end + else + DefaultLinearSolver(DefaultAlgorithmChoice.KrylovJL_GMRES) + end +end ### ------ Type Piracy Ends ------ ### abstract type AbstractComplementarityAlgorithm end diff --git a/src/algorithms/lcp/bokhoven_iterative.jl b/src/algorithms/lcp/bokhoven_iterative.jl index 37660a9..8255f82 100644 --- a/src/algorithms/lcp/bokhoven_iterative.jl +++ b/src/algorithms/lcp/bokhoven_iterative.jl @@ -7,38 +7,39 @@ BokhovenIterativeAlgorithm() = BokhovenIterativeAlgorithm(NewtonRaphson()) @truncate_stacktrace BokhovenIterativeAlgorithm -## NOTE: It is a steady state problem so we could in-principle use an ODE Solver -function __solve(prob::LinearComplementarityProblem{iip, false}, - alg::BokhovenIterativeAlgorithm, - u0, - M, - q; - kwargs...) where {iip} - A = pinv(I + M) - B = A * (I - M) - b = -A * q - - θ = vcat(vec(B), b) - - _get_B(θ) = reshape(view(θ, 1:length(B)), size(B)) - _get_b(θ) = view(θ, (length(B) + 1):length(θ)) - - if iip - function objective!(residual, u, θ) - mul!(residual, _get_B(θ), abs.(u)) - residual .+= _get_b(θ) .- u - return residual +for batched in (true, false) + @eval @views function __solve(prob::LinearComplementarityProblem{iip, $batched}, + alg::BokhovenIterativeAlgorithm, + u0, + M, + q; + kwargs...) where {iip} + A = I➕x⁻¹(M) + B = matmul(A, I➖x(M)) + b = -matmul(A, q) + + θ = vcat(vec(B), b) + + _get_B(θ) = reshape(view(θ, 1:length(B)), size(B)) + _get_b(θ) = reshape(view(θ, (length(B) + 1):length(θ)), size(b)) + + if iip + function objective!(residual, u, θ) + residual .= _get_b(θ) .- u + matmul!(residual, _get_B(θ), abs.(u), true, true) + return residual + end + + _prob = NonlinearProblem(NonlinearFunction{true}(objective!), u0, θ) + else + objective(u, θ) = matmul(_get_B(θ), abs.(u)) .+ _get_b(θ) .- u + + _prob = NonlinearProblem(NonlinearFunction{false}(objective), u0, θ) end + sol = solve(_prob, alg.nlsolver; kwargs...) - _prob = NonlinearProblem(NonlinearFunction{true}(objective!), u0, θ) - else - objective(u, θ) = _get_B(θ) * abs.(u) .+ _get_b(θ) .- u + z = abs.(sol.u) .+ sol.u - _prob = NonlinearProblem(NonlinearFunction{false}(objective), u0, θ) + return LinearComplementaritySolution(z, sol.resid, prob, alg, sol.retcode) end - sol = solve(_prob, alg.nlsolver; kwargs...) - - z = abs.(sol.u) .+ sol.u - - return LinearComplementaritySolution(z, sol.resid, prob, alg, sol.retcode) end diff --git a/src/algorithms/lcp/fallback.jl b/src/algorithms/lcp/fallback.jl index a69d93c..af4490e 100644 --- a/src/algorithms/lcp/fallback.jl +++ b/src/algorithms/lcp/fallback.jl @@ -21,7 +21,7 @@ function __solve(prob::LinearComplementarityProblem{iip, true}, return_codes = Vector{ReturnCode.T}(undef, size(u0, 2)) return_codes[1] = sol_first.retcode - Threads.@threads for i in 1:size(u0, 2) + Threads.@threads :static for i in 1:size(u0, 2) sol = __solve(ℒ𝒞𝒫, solver, u0[:, mod1(i, size(u0, 2))], diff --git a/src/algorithms/lcp/ipm.jl b/src/algorithms/lcp/ipm.jl index e48343e..cd717d7 100644 --- a/src/algorithms/lcp/ipm.jl +++ b/src/algorithms/lcp/ipm.jl @@ -24,7 +24,8 @@ function __make_ipm_linsolve_operator(M, zₖ, wₖ, Δzw, ::Val{batched}) where u = reshape(u, 2L, :) end Δz, Δw = selectdim(u, 1, 1:L), selectdim(u, 1, (L + 1):(2L)) - selectdim(v, 1, 1:L) .= matmul(M, Δz) .- Δw + selectdim(v, 1, 1:L) .= Δw + matmul!(selectdim(v, 1, 1:L), M, Δz, true, -1) selectdim(v, 1, (L + 1):(2L)) .= zₖ .* Δw .+ wₖ .* Δz return vec(v) end diff --git a/src/utils.jl b/src/utils.jl index 95d1d04..d67a6d5 100644 --- a/src/utils.jl +++ b/src/utils.jl @@ -46,7 +46,7 @@ end y_ = reshape(y, size(y, 1), 1, size(y, 2)) x_ = reshape(x, size(x, 1), 1, size(x, 2)) batched_mul!(y_, A, x_, α, β) - return y_[:, 1, :] + return dropdims(y_; dims=2) end ## Matmul with proper dispatches @@ -93,3 +93,22 @@ function __check_correct_batching(args::Int...) end return batch_size end + +# Pseudo Inverse +I➕x⁻¹(x::AbstractMatrix) = pinv(I + x) +@views function I➕x⁻¹(x::AbstractArray{T, 3}) where {T} + y = similar(x) + for i in 1:size(x, 3) + y[:, :, i] .= pinv(I + x[:, :, i]) + end + return y +end + +I➖x(x::AbstractMatrix) = I - x +@views function I➖x(x::AbstractArray{T, 3}) where {T} + y = similar(x) + for i in 1:size(x, 3) + y[:, :, i] .= I - x[:, :, i] + end + return y +end

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b/benchmark/generated/markdown/lcp/solvers.md @@ -0,0 +1,502 @@ +# Benchmarking Available LCP Solvers + + + + +## Useful Functions + +```julia +using Statistics + +function timer(f, args...; numtimes=5) + f(args...) # compile + times = zeros(numtimes) + for i in 1:numtimes + times[i] = @elapsed f(args...) + end + return median(times) +end +``` + +``` +timer (generic function with 1 method) +``` + + + + + +## Load Dependencies + +```julia +using BenchmarkTools, ComplementaritySolve, DataFrames, NonlinearSolve, PyPlot, StableRNGs +``` + + + + +## Basic LCP + +```julia +A₁ = [2.0 1; 1 2.0] +q₁ = [-5.0, 6.0] +``` + +``` +2-element Vector{Float64}: + -5.0 + 6.0 +``` + + + + + +### Unbatched Version + +```julia +SOLVERS = [BokhovenIterativeAlgorithm(), + PGS(), + RPGS(), + InteriorPointMethod(), + NonlinearReformulation(), + NonlinearReformulation(:smooth, Broyden(; batched=true)), +] +times = zeros(length(SOLVERS), 2) +solvers = ["Bok.", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (Broyden)"] + +for (i, solver) in enumerate(SOLVERS) + @info "UNBATCHED: Benchmarking $(solvers[i])" + prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2)) + prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2)) + times[i, 1] = timer(solve, prob_iip, solver) + times[i, 2] = timer(solve, prob_oop, solver) +end +``` + + +![](figures/solvers_6_1.png) + + + +### Batched Version + +Here we are batching the Problem with `N` starting values (typically batching LCPs involves +batching multiple `M` and `q`) + + +```julia +SOLVERS = [BokhovenIterativeAlgorithm(), + PGS(), + RPGS(), + InteriorPointMethod(), + NonlinearReformulation(:smooth, SimpleNewtonRaphson(; batched=true)), + NonlinearReformulation(:smooth, SimpleDFSane(; batched=true)), + NonlinearReformulation(:smooth, Broyden(; batched=true)), +] +BATCH_SIZES = 2 .^ (1:2:11) +times = zeros(length(SOLVERS), length(BATCH_SIZES), 2) +solvers = ["Bok.", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (DFSane)", "NLR (Broyden)"] + +for (i, solver) in enumerate(SOLVERS) + @info "BATCHED: Benchmarking $(solvers[i])" + for (j, N) in enumerate(BATCH_SIZES) + prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2, N)) + prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2, N)) + times[i, j, 2] = timer(solve, prob_oop, solver) + if i == 5 + times[i, j, 1] = -1 # SimpleNewtonRaphson is not implemented for inplace + continue + end + times[i, j, 1] = timer(solve, prob_iip, solver) + end +end +``` + + +![](figures/solvers_8_1.png) + + +## Appendix + +These benchmarks are a part of the SciMLBenchmarks.jl repository, found at: [https://github.com/SciML/SciMLBenchmarks.jl](https://github.com/SciML/SciMLBenchmarks.jl). For more information on high-performance scientific machine learning, check out the SciML Open Source Software Organization [https://sciml.ai](https://sciml.ai). + +To locally run this benchmark, do the following commands: + +``` +using SciMLBenchmarks +SciMLBenchmarks.weave_file("/mnt/research/ComplementaritySolve.jl/benchmark/lcp","solvers.jmd") +``` + +Computer Information: + +``` +Julia Version 1.10.0-beta1 +Commit 6616549950e (2023-07-25 17:43 UTC) +Platform Info: + OS: Linux (x86_64-linux-gnu) + CPU: 12 × AMD Ryzen 5 4600H with Radeon Graphics + WORD_SIZE: 64 + LIBM: libopenlibm + LLVM: libLLVM-15.0.7 (ORCJIT, znver2) + Threads: 11 on 12 virtual cores +Environment: + JULIA_PKG_USE_CLI_GIT = true + JULIA_DEPOT_PATH = /mnt/julia: + +``` + +Package Information: + +``` +Status `/mnt/research/ComplementaritySolve.jl/benchmark/Project.toml` + [6e4b80f9] BenchmarkTools v1.3.2 + [b40a91a3] ComplementaritySolve v0.1.0 `..` + [a93c6f00] DataFrames v1.6.1 + [8913a72c] NonlinearSolve v1.8.0 + [91a5bcdd] Plots v1.38.17 + [d330b81b] PyPlot v2.11.1 + [31c91b34] SciMLBenchmarks v0.1.3 + [860ef19b] StableRNGs v1.0.0 + [f3b207a7] StatsPlots v0.15.6 + [44d3d7a6] Weave v0.10.12 + [44cfe95a] Pkg v1.10.0 +``` + +And the full manifest: + +``` +Status `/mnt/research/ComplementaritySolve.jl/benchmark/Manifest.toml` + [47edcb42] ADTypes v0.1.6 + [621f4979] AbstractFFTs v1.4.0 + [79e6a3ab] Adapt v3.6.2 + [ec485272] ArnoldiMethod v0.2.0 + [7d9fca2a] Arpack v0.5.4 + [4fba245c] ArrayInterface v7.4.11 + [30b0a656] ArrayInterfaceCore v0.1.29 + [a9b6321e] Atomix v0.1.0 + [13072b0f] AxisAlgorithms v1.0.1 + [6e4b80f9] BenchmarkTools v1.3.2 + [d1d4a3ce] BitFlags v0.1.7 + [62783981] BitTwiddlingConvenienceFunctions v0.1.5 + [fa961155] CEnum v0.4.2 + [2a0fbf3d] CPUSummary v0.2.3 + [49dc2e85] Calculus v0.5.1 + [082447d4] ChainRules v1.53.0 + [d360d2e6] ChainRulesCore v1.16.0 + [fb6a15b2] CloseOpenIntervals v0.1.12 + [aaaa29a8] Clustering v0.15.4 + [523fee87] CodecBzip2 v0.7.2 + [944b1d66] CodecZlib 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Libgpg_error_jll v1.42.0+0 + [94ce4f54] Libiconv_jll v1.16.1+2 + [4b2f31a3] Libmount_jll v2.35.0+0 + [89763e89] Libtiff_jll v4.5.1+1 + [38a345b3] Libuuid_jll v2.36.0+0 + [856f044c] MKL_jll v2023.1.0+0 + [e7412a2a] Ogg_jll v1.3.5+1 +⌅ [458c3c95] OpenSSL_jll v1.1.21+0 + [efe28fd5] OpenSpecFun_jll v0.5.5+0 + [91d4177d] Opus_jll v1.3.2+0 + [30392449] Pixman_jll v0.42.2+0 + [c0090381] Qt6Base_jll v6.4.2+3 + [f50d1b31] Rmath_jll v0.4.0+0 + [a2964d1f] Wayland_jll v1.21.0+0 + [2381bf8a] Wayland_protocols_jll v1.25.0+0 + [02c8fc9c] XML2_jll v2.10.3+0 + [aed1982a] XSLT_jll v1.1.34+0 + [ffd25f8a] XZ_jll v5.4.3+1 + [4f6342f7] Xorg_libX11_jll v1.8.6+0 + [0c0b7dd1] Xorg_libXau_jll v1.0.11+0 + [935fb764] Xorg_libXcursor_jll v1.2.0+4 + [a3789734] Xorg_libXdmcp_jll v1.1.4+0 + [1082639a] Xorg_libXext_jll v1.3.4+4 + [d091e8ba] Xorg_libXfixes_jll v5.0.3+4 + [a51aa0fd] Xorg_libXi_jll v1.7.10+4 + [d1454406] Xorg_libXinerama_jll v1.1.4+4 + [ec84b674] Xorg_libXrandr_jll v1.5.2+4 + [ea2f1a96] Xorg_libXrender_jll v0.9.10+4 + [14d82f49] Xorg_libpthread_stubs_jll v0.1.1+0 + [c7cfdc94] Xorg_libxcb_jll v1.15.0+0 + [cc61e674] Xorg_libxkbfile_jll v1.1.2+0 + [12413925] Xorg_xcb_util_image_jll v0.4.0+1 + [2def613f] Xorg_xcb_util_jll v0.4.0+1 + [975044d2] Xorg_xcb_util_keysyms_jll v0.4.0+1 + [0d47668e] Xorg_xcb_util_renderutil_jll v0.3.9+1 + [c22f9ab0] Xorg_xcb_util_wm_jll v0.4.1+1 + [35661453] Xorg_xkbcomp_jll v1.4.6+0 + [33bec58e] Xorg_xkeyboard_config_jll v2.39.0+0 + [c5fb5394] Xorg_xtrans_jll v1.5.0+0 + [8f1865be] ZeroMQ_jll v4.3.4+0 + [3161d3a3] Zstd_jll v1.5.5+0 +⌅ [214eeab7] fzf_jll v0.29.0+0 + [a4ae2306] libaom_jll v3.4.0+0 + [0ac62f75] libass_jll v0.15.1+0 + [f638f0a6] libfdk_aac_jll v2.0.2+0 + [b53b4c65] libpng_jll v1.6.38+0 + [a9144af2] libsodium_jll v1.0.20+0 + [f27f6e37] libvorbis_jll v1.3.7+1 + [1270edf5] x264_jll v2021.5.5+0 + [dfaa095f] x265_jll v3.5.0+0 + [d8fb68d0] xkbcommon_jll v1.4.1+0 + [0dad84c5] ArgTools v1.1.1 + [56f22d72] Artifacts + [2a0f44e3] Base64 + [ade2ca70] Dates + [8ba89e20] Distributed + [f43a241f] Downloads v1.6.0 + [7b1f6079] FileWatching + [9fa8497b] Future + [b77e0a4c] InteractiveUtils + [4af54fe1] LazyArtifacts + [b27032c2] LibCURL v0.6.4 + [76f85450] LibGit2 + [8f399da3] Libdl + [37e2e46d] LinearAlgebra + [56ddb016] Logging + [d6f4376e] Markdown + [a63ad114] Mmap + [ca575930] NetworkOptions v1.2.0 + [44cfe95a] Pkg v1.10.0 + [de0858da] Printf + [9abbd945] Profile + [3fa0cd96] REPL + [9a3f8284] Random + [ea8e919c] SHA v0.7.0 + [9e88b42a] Serialization + [1a1011a3] SharedArrays + [6462fe0b] Sockets + [2f01184e] SparseArrays v1.10.0 + [10745b16] Statistics v1.9.0 + [4607b0f0] SuiteSparse + [fa267f1f] TOML v1.0.3 + [a4e569a6] Tar v1.10.0 + [8dfed614] Test + [cf7118a7] UUIDs + [4ec0a83e] Unicode + [e66e0078] CompilerSupportLibraries_jll v1.0.5+0 + [deac9b47] LibCURL_jll v8.0.1+0 + [29816b5a] LibSSH2_jll v1.10.2+0 + [c8ffd9c3] MbedTLS_jll v2.28.2+0 + [14a3606d] MozillaCACerts_jll v2023.1.10 + [4536629a] OpenBLAS_jll v0.3.23+0 + [05823500] OpenLibm_jll v0.8.1+0 + [efcefdf7] PCRE2_jll v10.42.0+0 + [bea87d4a] SuiteSparse_jll v7.2.0+0 + [83775a58] Zlib_jll v1.2.13+0 + [8e850b90] libblastrampoline_jll v5.8.0+0 + [8e850ede] nghttp2_jll v1.52.0+0 + [3f19e933] p7zip_jll v17.4.0+0 +Info Packages marked with ⌃ and ⌅ have new versions available, but those with ⌅ are restricted by compatibility constraints from upgrading. To see why use `status --outdated -m` +``` + diff --git a/benchmark/generated/script/lcp/solvers.jl b/benchmark/generated/script/lcp/solvers.jl new file mode 100644 index 0000000..da59467 --- /dev/null +++ b/benchmark/generated/script/lcp/solvers.jl @@ -0,0 +1,135 @@ + +import Pkg +Pkg.activate(joinpath(@__DIR__, "..")) + + +using Statistics + +function timer(f, args...; numtimes=5) + f(args...) # compile + times = zeros(numtimes) + for i in 1:numtimes + times[i] = @elapsed f(args...) + end + return median(times) +end + + +using BenchmarkTools, ComplementaritySolve, DataFrames, NonlinearSolve, PyPlot, StableRNGs + + +A₁ = [2.0 1; 1 2.0] +q₁ = [-5.0, 6.0] + + +SOLVERS = [BokhovenIterativeAlgorithm(), + PGS(), + RPGS(), + InteriorPointMethod(), + NonlinearReformulation(), + NonlinearReformulation(:smooth, Broyden(; batched=true)), +] +times = zeros(length(SOLVERS), 2) +solvers = ["Bok.", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (Broyden)"] + +for (i, solver) in enumerate(SOLVERS) + @info "UNBATCHED: Benchmarking $(solvers[i])" + prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2)) + prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2)) + times[i, 1] = timer(solve, prob_iip, solver) + times[i, 2] = timer(solve, prob_oop, solver) +end + + +let _=plt.xkcd() + xloc = 1:length(solvers) + width = 0.4 # the width of the bars + multiplier = 0 + fig, ax = subplots(layout="constrained", figsize=(14, 6)) + ax.set_yscale("log") + + for (i, group) in enumerate(["Inplace", "Out of Place"]) + offset = width * multiplier + rects = ax.bar(xloc .+ offset, times[:, i], width, label=group) + for (j, rect) in enumerate(rects) + height = rect.get_height() + ax.annotate("$(round(times[j, i] * 10^6; digits=2))μs", + xy=(rect.get_x() + rect.get_width() / 2, height), + xytext=(0, 3), # 3 points vertical offset + textcoords="offset points", + ha="center", va="bottom") + end + multiplier += 1 + end + + ax.set_ylabel("Times (s)") + ax.set_title("UNBATCHED: Basic LCP") + ax.set_xticks(xloc .+ width ./ 2, solvers) + ax.legend(ncols=3) + fig.tight_layout() + fig +end + + +SOLVERS = [BokhovenIterativeAlgorithm(), + PGS(), + RPGS(), + InteriorPointMethod(), + NonlinearReformulation(:smooth, SimpleNewtonRaphson(; batched=true)), + NonlinearReformulation(:smooth, SimpleDFSane(; batched=true)), + NonlinearReformulation(:smooth, Broyden(; batched=true)), +] +BATCH_SIZES = 2 .^ (1:2:11) +times = zeros(length(SOLVERS), length(BATCH_SIZES), 2) +solvers = ["Bok.", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (DFSane)", "NLR (Broyden)"] + +for (i, solver) in enumerate(SOLVERS) + @info "BATCHED: Benchmarking $(solvers[i])" + for (j, N) in enumerate(BATCH_SIZES) + prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2, N)) + prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2, N)) + times[i, j, 2] = timer(solve, prob_oop, solver) + if i == 5 + times[i, j, 1] = -1 # SimpleNewtonRaphson is not implemented for inplace + continue + end + times[i, j, 1] = timer(solve, prob_iip, solver) + end +end + + +let _=plt.xkcd() + prop_cycle = plt.rcParams["axes.prop_cycle"] + colors = prop_cycle.by_key()["color"] + fig, (ax1, ax2) = subplots(1, 2; layout="constrained", sharey=true, sharex=true, figsize=(16, 6)) + ax1.set_yscale("log") + ax1.set_xscale("log") + + fig.suptitle("BATCHED: Basic LCP") + ax1.set_title("In-Place Solvers") + ax2.set_title("Out-Of-Place Solvers") + + for (j, solver) in enumerate(solvers) + if !any(times[j, :, 1] .< 0) + ax1.plot(BATCH_SIZES, times[j, :, 1]; label=solver, color=colors[j]) + ax1.scatter(BATCH_SIZES, times[j, :, 1]; color=colors[j]) + end + if !any(times[j, :, 2] .< 0) + ax2.plot(BATCH_SIZES, times[j, :, 2]; label=solver, color=colors[j]) + ax2.scatter(BATCH_SIZES, times[j, :, 2]; color=colors[j]) + end + end + + ax1.set_ylabel("Times (s)") + ax1.set_xlabel("Batch Size") + ax2.set_xlabel("Batch Size") + # ax1.legend(ncols=3) + ax2.legend(ncols=3) + fig.tight_layout() + fig +end + + +import SciMLBenchmarks +SciMLBenchmarks.bench_footer(@__DIR__, last(splitdir(@__FILE__))) + diff --git a/benchmark/lcp/solvers.jmd b/benchmark/lcp/solvers.jmd index 20eb6e7..0b479b3 100644 --- a/benchmark/lcp/solvers.jmd +++ b/benchmark/lcp/solvers.jmd @@ -5,6 +5,21 @@ import Pkg Pkg.activate(joinpath(@__DIR__, "..")) ``` +## Useful Functions + +```julia +using Statistics + +function timer(f, args...; numtimes::Int=10) + f(args...) # compile + times = zeros(numtimes) + for i in eachindex(times) + times[i] = @elapsed f(args...) + end + return median(times) +end +``` + ## Load Dependencies ```julia @@ -22,7 +37,6 @@ q₁ = [-5.0, 6.0] ```julia SOLVERS = [BokhovenIterativeAlgorithm(), - RPSOR(; ω=1.0, ρ=0.1), PGS(), RPGS(), InteriorPointMethod(), @@ -30,18 +44,18 @@ SOLVERS = [BokhovenIterativeAlgorithm(), NonlinearReformulation(:smooth, Broyden(; batched=true)), ] times = zeros(length(SOLVERS), 2) -solvers = ["Bok.", "RPSOR", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (Broyden)"] +solvers = ["Bok.", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (Broyden)"] for (i, solver) in enumerate(SOLVERS) - @info "Benchmarking $(solvers[i])" + @info "UNBATCHED: Benchmarking $(solvers[i])" prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2)) prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2)) - times[i, 1] = @belapsed solve($prob_iip, $solver) - times[i, 2] = @belapsed solve($prob_oop, $solver) + times[i, 1] = timer(solve, prob_iip, solver) + times[i, 2] = timer(solve, prob_oop, solver) end ``` -```julia +```julia, echo = false let _=plt.xkcd() xloc = 1:length(solvers) width = 0.4 # the width of the bars @@ -64,7 +78,7 @@ let _=plt.xkcd() end ax.set_ylabel("Times (s)") - ax.set_title("Basic LCP Unbatched") + ax.set_title("UNBATCHED: Basic LCP") ax.set_xticks(xloc .+ width ./ 2, solvers) ax.legend(ncols=3) fig.tight_layout() @@ -80,7 +94,6 @@ batching multiple `M` and `q`) ```julia SOLVERS = [BokhovenIterativeAlgorithm(), - RPSOR(; ω=1.0, ρ=0.1), PGS(), RPGS(), InteriorPointMethod(), @@ -90,24 +103,24 @@ SOLVERS = [BokhovenIterativeAlgorithm(), ] BATCH_SIZES = 2 .^ (1:2:11) times = zeros(length(SOLVERS), length(BATCH_SIZES), 2) -solvers = ["Bok.", "RPSOR", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (DFSane)", "NLR (Broyden)"] +solvers = ["Bok.", "PGS", "RPGS", "IPM", "NLR (Newton)", "NLR (DFSane)", "NLR (Broyden)"] for (i, solver) in enumerate(SOLVERS) - @info "Benchmarking $(solvers[i])" + @info "BATCHED: Benchmarking $(solvers[i])" for (j, N) in enumerate(BATCH_SIZES) prob_iip = LCP{true}(A₁, q₁, rand(StableRNG(0), 2, N)) prob_oop = LCP{false}(A₁, q₁, rand(StableRNG(0), 2, N)) - times[i, j, 2] = @belapsed solve($prob_oop, $solver) - if i == 6 + times[i, j, 2] = timer(solve, prob_oop, solver) + if i == 5 times[i, j, 1] = -1 # SimpleNewtonRaphson is not implemented for inplace continue end - times[i, j, 1] = @belapsed solve($prob_iip, $solver) + times[i, j, 1] = timer(solve, prob_iip, solver) end end ``` -```julia +```julia, echo = false let _=plt.xkcd() prop_cycle = plt.rcParams["axes.prop_cycle"] colors = prop_cycle.by_key()["color"] @@ -115,7 +128,7 @@ let _=plt.xkcd() ax1.set_yscale("log") ax1.set_xscale("log") - fig.suptitle("Basic LCP Batched") + fig.suptitle("BATCHED: Basic LCP") ax1.set_title("In-Place Solvers") ax2.set_title("Out-Of-Place Solvers") @@ -133,7 +146,7 @@ let _=plt.xkcd() ax1.set_ylabel("Times (s)") ax1.set_xlabel("Batch Size") ax2.set_xlabel("Batch Size") - ax1.legend(ncols=3) + # ax1.legend(ncols=3) ax2.legend(ncols=3) fig.tight_layout() fig @@ -142,5 +155,5 @@ end ```julia, echo = false import SciMLBenchmarks -SciMLBenchmarks.bench_footer(@__DIR__, @__FILE__) +SciMLBenchmarks.bench_footer(@__DIR__, last(splitdir(@__FILE__))) ``` diff --git a/benchmark/lcp/solvers.pdf b/benchmark/lcp/solvers.pdf deleted file mode 100644 index ceb82260d60215dfa5c7a6a06756243d85d3d0e6..0000000000000000000000000000000000000000 GIT binary patch literal 0 HcmV?d00001 literal 53139 zcmbrmbx>VF*XE16YjAhx;1=BVAi>>(I|O%v1h?Q4+}+*X-CcqPw@JQlX6`!`=H^!2 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zBcd9>NC)fG;z;TvUVuZcK)&w+CH4Qj0i(AAv%LYwy48T=~x75e0 zgfz4B=UD-Ijf2QAfVBcwTY*?NfV>DYR0liVfrumoP3dzO4FXw#O4J88?vvyI14aU~ zB*fh410@q;-3Y>w2VLI%@uy!W`Bg`iIMQS$<`2I|*Lc~ivtE@%9Bdn&V0NYdIQt?d zerdqB)?6iwkP~ZZf}xIe`9VRosETS?g-$a3xkqXF_nAl8uX-oevUXLS8s)C^YO(Sv z$z{vMC!uAd#dzA9xw*>Nncb{2-1!k3x0-gE$J?qO((F;bI)F6(|NnGxbTV*oa&s^- Tg<)l4W?+ILB^8kqh53H~H}KKQ From 9d0466b39b72c79a4aafff93d395a4e361b41b5e Mon Sep 17 00:00:00 2001 From: Avik Pal Date: Sat, 29 Jul 2023 21:09:15 -0400 Subject: [PATCH 5/6] Get setup for CUDA benchmarking --- benchmark/Project.toml | 1 + benchmark/lcp/solvers.jmd | 20 +++++++++++++++----- src/algorithms/lcp/fallback.jl | 2 +- 3 files changed, 17 insertions(+), 6 deletions(-) diff --git a/benchmark/Project.toml b/benchmark/Project.toml index 1f5ee29..1aa48d6 100644 --- a/benchmark/Project.toml +++ b/benchmark/Project.toml @@ -1,5 +1,6 @@ [deps] BenchmarkTools = "6e4b80f9-dd63-53aa-95a3-0cdb28fa8baf" +CUDA = "052768ef-5323-5732-b1bb-66c8b64840ba" ComplementaritySolve = "b40a91a3-bdaf-4e1c-b965-8c278a33a8d3" DataFrames = "a93c6f00-e57d-5684-b7b6-d8193f3e46c0" NonlinearSolve = "8913a72c-1f9b-4ce2-8d82-65094dcecaec" diff --git a/benchmark/lcp/solvers.jmd b/benchmark/lcp/solvers.jmd index 0b479b3..a28219f 100644 --- a/benchmark/lcp/solvers.jmd +++ b/benchmark/lcp/solvers.jmd @@ -8,13 +8,19 @@ Pkg.activate(joinpath(@__DIR__, "..")) ## Useful Functions ```julia -using Statistics +using CUDA, Statistics -function timer(f, args...; numtimes::Int=10) +CUDA.allowscalar(false) + +function timer(f, args...; cuda_mode::Bool=false, numtimes::Int=10) f(args...) # compile times = zeros(numtimes) for i in eachindex(times) - times[i] = @elapsed f(args...) + if cuda_mode + times[i] = @elapsed CUDA.@sync f(args...) + else + times[i] = @elapsed f(args...) + end end return median(times) end @@ -33,7 +39,9 @@ A₁ = [2.0 1; 1 2.0] q₁ = [-5.0, 6.0] ``` -### Unbatched Version +### CPU Benchmarks + +#### Unbatched Version ```julia SOLVERS = [BokhovenIterativeAlgorithm(), @@ -86,7 +94,7 @@ let _=plt.xkcd() end ``` -### Batched Version +#### Batched Version Here we are batching the Problem with `N` starting values (typically batching LCPs involves batching multiple `M` and `q`) @@ -153,6 +161,8 @@ let _=plt.xkcd() end ``` +### GPU Benchmarks (CUDA) + ```julia, echo = false import SciMLBenchmarks SciMLBenchmarks.bench_footer(@__DIR__, last(splitdir(@__FILE__))) diff --git a/src/algorithms/lcp/fallback.jl b/src/algorithms/lcp/fallback.jl index af4490e..a69d93c 100644 --- a/src/algorithms/lcp/fallback.jl +++ b/src/algorithms/lcp/fallback.jl @@ -21,7 +21,7 @@ function __solve(prob::LinearComplementarityProblem{iip, true}, return_codes = Vector{ReturnCode.T}(undef, size(u0, 2)) return_codes[1] = sol_first.retcode - Threads.@threads :static for i in 1:size(u0, 2) + Threads.@threads for i in 1:size(u0, 2) sol = __solve(ℒ𝒞𝒫, solver, u0[:, mod1(i, size(u0, 2))], From a82019636e0d3cbfe757d630e4def64374ddeafe Mon Sep 17 00:00:00 2001 From: Avik Pal Date: Sun, 30 Jul 2023 00:27:52 -0400 Subject: [PATCH 6/6] CUDA benchmarks --- benchmark/benchmarks.jl | 4 +- .../markdown/lcp/figures/solvers_11_1.png | Bin 0 -> 84239 bytes .../markdown/lcp/figures/solvers_13_1.png | Bin 0 -> 101101 bytes .../markdown/lcp/figures/solvers_6_1.png | Bin 108482 -> 110094 bytes .../markdown/lcp/figures/solvers_8_1.png | Bin 167853 -> 174813 bytes benchmark/generated/markdown/lcp/solvers.md | 118 ++++++++++++++-- benchmark/generated/script/lcp/solvers.jl | 130 ++++++++++++++++-- benchmark/lcp/solvers.jmd | 130 ++++++++++++++++-- src/ComplementaritySolve.jl | 19 +++ src/algorithms/lcp/bokhoven_iterative.jl | 61 ++++---- src/algorithms/lcp/fallback.jl | 2 +- src/algorithms/lcp/ipm.jl | 3 +- src/utils.jl | 21 ++- 13 files changed, 420 insertions(+), 68 deletions(-) create mode 100644 benchmark/generated/markdown/lcp/figures/solvers_11_1.png create mode 100644 benchmark/generated/markdown/lcp/figures/solvers_13_1.png diff --git a/benchmark/benchmarks.jl 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