Repository: andreaferretti/kmeans Branch: master Commit: a6c7107efa0d Files: 137 Total size: 3.9 MB Directory structure: gitextract_bwhds1og/ ├── .gitignore ├── Pharo4.0/ │ └── KMeans.st ├── README.md ├── c/ │ ├── compile.sh │ ├── hashmap.c │ ├── hashmap.h │ ├── kmeans.c │ ├── kmeans.h │ ├── main.c │ ├── point.c │ └── point.h ├── chapel/ │ ├── .gitignore │ ├── Makefile │ └── main.chpl ├── clojure/ │ ├── project.clj │ └── src/ │ └── clj/ │ └── kmeans/ │ ├── algo.clj │ └── benchmark.clj ├── cpp/ │ ├── .gitignore │ ├── Point.cpp │ ├── Point.h │ ├── benchmark.cpp │ ├── biicode.conf │ ├── kmeans.cpp │ └── kmeans.h ├── crystal/ │ ├── .gitignore │ └── kmeans.cr ├── cuda/ │ ├── CMakeLists.txt │ └── src/ │ ├── config.h │ ├── kmeans.cu │ ├── kmeans.h │ ├── main.cu │ ├── point.cu │ └── point.h ├── d/ │ └── main.d ├── elixir/ │ ├── kmeans.ex │ └── main.exs ├── erlang/ │ ├── kmeans.erl │ └── main.erl ├── factor/ │ └── kmeans/ │ ├── benchmark/ │ │ └── benchmark.factor │ └── kmeans.factor ├── fsharp/ │ ├── .gitignore │ ├── Makefile │ ├── kmeans.fs │ ├── main.fs │ └── paket.dependencies ├── go/ │ ├── .gitignore │ └── main.go ├── haskell/ │ ├── Kmeans.hs │ ├── Main.hs │ ├── Point.hs │ ├── Setup.hs │ └── kmeans.cabal ├── java/ │ ├── pom.xml │ └── src/ │ └── main/ │ └── java/ │ ├── Entry.java │ ├── KMeans.java │ └── Point.java ├── java8/ │ ├── pom.xml │ └── src/ │ └── main/ │ └── java/ │ └── com/ │ └── example/ │ ├── KMeans.java │ ├── Main.java │ └── Point.java ├── julia/ │ └── kmeans.jl ├── kotlin/ │ ├── pom.xml │ └── src/ │ └── main/ │ └── java/ │ └── kmeans.kt ├── lisp/ │ ├── kmeans.lisp │ └── readme.txt ├── lua/ │ └── kmeans.lua ├── nim/ │ ├── algo.nim │ └── benchmark.nim ├── node/ │ ├── kmeans.js │ └── package.json ├── ocaml/ │ ├── kmeans.ml │ ├── kmeans.mli │ ├── main.ml │ └── point.ml ├── opencl/ │ ├── .gitignore │ ├── kmeans.cl │ ├── kmeans.nim │ ├── kmeans.nimble │ ├── point.h │ ├── point.nim │ └── util.nim ├── openmp/ │ ├── compile.sh │ ├── makefile │ └── src/ │ ├── config.h │ ├── kmeans.c │ ├── kmeans.h │ ├── main.c │ ├── point.c │ └── point.h ├── parasail/ │ ├── benchmark.psl │ ├── kmeans.psl │ └── point.psl ├── perl/ │ └── kmeans.pl ├── pharo3/ │ └── KMeans.st ├── points.json ├── pony/ │ ├── .gitignore │ ├── Makefile │ └── kmeans/ │ └── main.pony ├── python/ │ └── kmeans.py ├── results ├── ruby/ │ └── kmeans.rb ├── rust/ │ ├── .gitignore │ ├── Cargo.toml │ └── src/ │ ├── algo.rs │ ├── lib.rs │ ├── main.rs │ └── point.rs ├── scala/ │ ├── build.sbt │ └── src/ │ └── main/ │ └── scala/ │ └── kmeans/ │ ├── Algo.scala │ └── Main.scala ├── scala-js/ │ ├── .gitignore │ ├── build.sbt │ ├── project/ │ │ ├── build.properties │ │ └── plugins.sbt │ └── src/ │ └── main/ │ └── scala/ │ └── kmeans/ │ ├── Algo.scala │ └── Main.scala ├── scala-native/ │ ├── build.sbt │ ├── project/ │ │ ├── build.properties │ │ └── plugins.sbt │ └── src/ │ └── main/ │ └── scala/ │ └── kmeans/ │ ├── Algo.scala │ ├── Main.scala │ └── native.scala ├── stanza/ │ ├── compile.sh │ ├── kmeans.stanza │ └── kmeansutils.c ├── swift/ │ ├── .gitignore │ ├── kmeans.swift │ └── main.swift └── x10/ ├── CJson.x10 ├── KMeans.x10 ├── Main.x10 ├── Makefile ├── RichPoint.x10 ├── javalib/ │ └── jackson-core-2.5.1.jar ├── jsonRead.cc ├── jsonRead.h └── jsonRead.java ================================================ FILE CONTENTS ================================================ ================================================ FILE: .gitignore ================================================ cuda/build/* cuda/.metadata cuda/RemoteSystemsTempFiles cuda/kmeans.out* cuda/CMakeCache.txt cuda/CMakeFiles/ cuda/Makefile cuda/cmake_install.cmake openmp/kmeans.out* openmp/build/* .cproject .project scala/target scala/project/project scala/project/target scala-native/target scala-native/project/project scala-native/project/target rust/target node/node_modules clojure/target .lein-repl-history nimcache /nim/benchmark *.psl.o *.psl.s parasail/benchmark errors.err erlang/*.beam elixir/*.beam java/target java/project java8/target ocaml/_build ocaml/*.byte ocaml/*.native kotlin/target lua/dkjson.lua c/*.o c/kmeans haskell/.cabal-sandbox haskell/dist haskell/cabal.sandbox.config d/main d/main.o x10/cbin x10/javabin x10/javalib/jsonRead.jar ================================================ FILE: Pharo4.0/KMeans.st ================================================ Object subclass: #KMeans instanceVariableNames: 'iterations clusters' classVariableNames: '' poolDictionaries: '' category: 'KMeans'! !KMeans commentStamp: 'RoelWuyts 3/31/2016 09:37' prior: 0! I implement an idiomatic version of the kmeans algorithm in order to compare to implementations in other languages - see https://github.com/andreaferretti/kmeans . To use me: - download Pharo and launch an image. - put the points.json in the same directory than the image. - type "KMeans benchmark: 100" (in the Playground or anywhere else), - select the text and 'Print it' in the contextual menu. - wait...! !KMeans methodsFor: 'algorithm' stamp: 'AndreaFerretti 10/8/2014 18:57'! run: points | centroids | centroids := points first: clusters. iterations timesRepeat: [ centroids := (self cluster: points around: centroids) collect: [ :each | each average ] ]. ^ self cluster: points around: centroids! ! !KMeans methodsFor: 'algorithm' stamp: 'RoelWuyts 3/1/2016 09:51'! cluster: points around: centroids ^ (points groupedBy: [ :p | p closestFrom: centroids ]) values! ! !KMeans methodsFor: 'algorithm' stamp: 'AndreaFerretti 10/8/2014 19:01'! run: points times: times times timesRepeat: [ self run: points ].! ! !KMeans methodsFor: 'benchmarks' stamp: 'AndreaFerretti 10/8/2014 19:03'! benchmark: points repeating: repetitions | time | time := Time millisecondsToRun: [ self run: points times: repetitions ]. ^ time / repetitions.! ! !KMeans methodsFor: 'initialization' stamp: 'RoelWuyts 2/29/2016 17:07'! clusters: numClusters iterations: numIterations iterations := numIterations. clusters := numClusters! ! "-- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- "! KMeans class instanceVariableNames: ''! !KMeans class methodsFor: 'benchmarks' stamp: 'RoelWuyts 3/31/2016 09:24'! benchmark: repetitions pointsFilename: pointsFilename "self benchmark: 100 pointsFilename: 'points.json' " | fileref str points | fileref := pointsFilename asFileReference. str := FileStream readOnlyFileNamed: fileref. points := (MCFileTreeJsonParser parseStream: str) collect: [:arr | Point x: arr first y: arr second ]. ^(self clusters: 10 iterations: 15) benchmark: points repeating: repetitions! ! !KMeans class methodsFor: 'benchmarks' stamp: 'RoelWuyts 3/31/2016 09:25'! benchmark: repetitions "self benchmark: 100" ^self benchmark: repetitions pointsFilename: self pointsFilename ! ! !KMeans class methodsFor: 'benchmarks' stamp: 'RoelWuyts 3/31/2016 09:23'! pointsFilename "The name and location of the file that contains the points used for the benchmarking." "By default it is assumed to be next to your Pharo image." ^'points.json'! ! !KMeans class methodsFor: 'instance creation' stamp: 'RoelWuyts 2/29/2016 17:09'! clusters: numClusters iterations: numIterations ^self new clusters: numClusters iterations: numIterations! ! 'From Pharo4.0 of 18 March 2013 [Latest update: #40626] on 31 March 2016 at 9:37:42.371164 am'! !Point methodsFor: '*KMeans' stamp: 'RoelWuyts 3/1/2016 09:57'! closestFrom: points ^ points detectMin: [:p | self dist: p ]! ! ================================================ FILE: README.md ================================================ This benchmark is born to compare the performance of Pharo 3 in executing a simple machine learning algorithm with a reference implementation in Python and Scala. Since then, it got a little out of hand, and a few other implementations are available. **This benchmark is not going to be updated anymore after 30/3/2017. I don't have the time to reinstall all languages on the original machine. Still, you can play with it and test everything on your computer. Thus, I will not accept any more PRs to this repository.** Rules ===== The implementations should all follow the same algorithm, and be optimized for idiomatic code and not for speed. The example is intended to compare time of execution for a typical machine learning algorithm, ideally during an interactive session, instead of highly optimized production code. As such, it is important that the code is straightforward and that there is no separate phase to prepare the caches. The points are in `points.json`, and are to be grouped into 10 clusters, using 15 iterations of kmeans. The initial centroids are initialized to the first 10 points, and we take an average over 100 runs. Results ======= Time for running on my laptop are available under `results`. A few surprises: * Writing a working Rust implementation was surprisingly difficult; writing one that would perform decently even more so. I had to rely frequently on help from people online. * PyPy is able to outperform Scala * Factor is pretty impressive, given that it is a fairly small project with a dedicated VM. With an implementation in 8 (!) lines, we get the a fairly performing dynamic language * Nim was also quite impressive: my first implementation was as easy as Python, and it was just behind Rust; when an unnecessary copy was removed, it turned out to be the fastest. Contribute ========== If you want to contribute an implementation in a different language, please file a PR. Try to follow the same logic that is used in the examples in other languages - for instance, using a group by operation where available. As you may notice, the algorithm is not optimized, and intentionally so: while K-means in particular has various possible optimizations, other similar algorithms may fail to have the particular shape that makes these optimizations viable. For the curious folks, I have tried a more optimized (single-threaded) implementation in Nim, that avoids the square root in the distance and accumulates the sum of points near a centroid, rather than putting them into a data structure. For comparison, this version runs in 67 ms. Computers are actually quite fast, these days! How to run ========== **C** sudo apt-get install libglib2.0-0 sudo apt-get install libjansson-dev # or equivalent for your OS ./compile.sh ./kmeans **C++** We use [BiiCode](https://www.biicode.com/) for building. Assuming you have it installed, from the `cpp` directory do bii init -L bii configure -DCMAKE_BUILD_TYPE=RELEASE bii build bin/user_cpp_benchmark **Chapel** Before compiling chapel please do: export CHPL_LLVM=llvm to enable LLVM support (this is used for the json import in C). Then, make sure that `chpl` is on your `$PATH` (for instance with `source source util/setchplenv.sh`). Finally: make ./kmeans **Clojure**: `lein with-profile uberjar run` **Common Lisp**: `sbcl --script kmeans.lisp` **Crystal**: crystal build kmeans.cr --release ./kmeans **CUDA** sudo apt-get install libjansson-dev # or equivalent for your OS (e.g. on Mac you can: brew install jansson) cmake . make then ./kmeans.out [ input_file.json number_of_points number_of_centroids ] **D**: dmd -O -inline -release -noboundscheck main.d ./main **Elixir**: elixirc kmeans.ex elixir main.exs **Erlang**: erl 1> c(main). 2> c(kmeans). 3> main:run(). **F#**: make make run **Factor**: USE: kmeans.benchmark 100 "../points.json" kmeans-benchmark **Go** go build main.go ./main **Haskell**: cabal install --only-dependencies cabal build dist/build/kmeans/kmeans **Java**: mvn compile mvn exec:java **Java 8 (Streams and Lambdas)**: mvn compile mvn exec:java **Julia**: julia -e 'Pkg.add("JSON")' julia kmeans.jl **Kotlin**: mvn compile exec:java **Lua**: download [this JSON library](http://dkolf.de/src/dkjson-lua.fsl/home) and put it in the same folder as the main file. Then run lua kmeans.lua luajit kmeans.lua **Nim**: nim c -d:release benchmark ./benchmark **Node**: npm install node kmeans.js **OCaml**: opam install core yojson corebuild -pkg yojson main.native ./main.native **OpenCL**: need to have Nim and Nimble installed, as well as a NVIDIA GPU. Check the library paths in `kmeans.nimble`, then run `nimble kmeans`. **OpenMP** make ./kmeans.out [ inputfile.json number_of_points number_of_centroids number_of_threads ] or: ./kmeans.out [number_of_threads] **Parasail**: assume `pslc.csh` is on `$PATH`. Then pslc.csh -O3 point.psl kmeans.psl benchmark.psl -o benchmark ./benchmark **Perl**: perl kmeans.pl **Pharo3**: install `NeoJSON` and file-in `Kmeans.st`, then open a workspace and write something like | path points kmeans | path := '../points.json'. kmeans := KMeans new iterations: 15; clusters: 10; yourself. StandardFileStream readOnlyFileNamed: path do: [ :stream | points := (NeoJSONReader on: stream) next collect: [ :each | (each first) @ (each second) ]. ]. kmeans benchmark: points repeating: 100 **Python**: python kmeans.py pypy kmeans.py **Pony**: make make run **Ruby**: ruby kmeans.rb rbx kmeans.rb **Rust**: cargo run --release **Scala**: `sbt run` **Scala-Js**: First, generate the compiled javascript with `sbt fullOptJS`. Then, `cd target/scala-2.11`, open `node` and > require('./kmeans-opt') > require('./kmeans-launcher') At first, it seems that nothing is going on, but after a while you should see the results printed. **Scala-Native**: `sbt run` **Stanza**: Install Stanza following instructions [here](http://lbstanza.org/chapter1.html#anchor1) and put it into your PATH. ./compile.sh ./kmeans **Swift**: swiftc -Ounchecked kmeans.swift main.swift ./main **X10**: First mkdir cbin mkdir javabin Make sure that the `bin` folder of X10 is on your path. Then, for the Java target, decomment lines with `Java json import` inside `Main.x10` and make java make runJava For the native target, decomment lines with `C json import` inside `Main.x10` and make c make runC ================================================ FILE: c/compile.sh ================================================ gcc -Wall -O3 -c hashmap.c -o hashmap.o `pkg-config --cflags --libs glib-2.0` gcc -Wall -O3 -c kmeans.c -o kmeans.o gcc -Wall -O3 -c main.c -o main.o gcc -Wall -O3 -c point.c -o point.o g++ -o kmeans hashmap.o kmeans.o main.o point.o `pkg-config --cflags --libs glib-2.0` -s -ljansson ================================================ FILE: c/hashmap.c ================================================ #include #include #include"hashmap.h" #include #include GHashTable* hash = NULL; void insert(Point* pkey, Point* pelem) { if (!hash) { hash = g_hash_table_new(NULL,NULL); } PointArray* pa = g_hash_table_lookup (hash, pkey); if (pa) { pa->points[pa->size].x = pelem->x; pa->points[pa->size].y = pelem->y; pa->size += 1; //g_hash_table_replace(hash, pkey, pa); } else { PointArray* pa = (PointArray*)malloc(sizeof(PointArray)); pa->size = 1; pa->points[0].x = pelem->x; pa->points[0].y = pelem->y; g_hash_table_insert(hash, pkey, pa); } } int i=0; void iterator(gpointer key, gpointer value, gpointer ret) { memcpy(&(((Clusters*)ret)->groups[i]), value , sizeof(PointArray)); i++; } void setCluster(Clusters* ret) { i=0; g_hash_table_foreach(hash, (GHFunc)iterator, ret); g_hash_table_destroy(hash); hash = NULL; } ================================================ FILE: c/hashmap.h ================================================ #ifndef HASHMAP_H_INCLUDED #define HASHMAP_H_INCLUDED #include"point.h" #include"kmeans.h" void insert(Point* key, Point* elem); void printHashMap(); void setCluster(Clusters* ret); #endif // HASHMAP_H_INCLUDED ================================================ FILE: c/kmeans.c ================================================ #include #include #include"kmeans.h" #include"point.h" #include"hashmap.h" int n = 10; int iters = 15; const long points_number = 100000; double dist(Point* p1, Point* p2) { Point p = {p1->x, p1->y}; sub(&p, p2); double result = modulus(&p); return result; } void average(PointArray* xs, Point* ret) { long i; ret->x = xs->points[0].x; ret->y = xs->points[0].y; for (i=1;isize;i++) { add(ret, &(xs->points[i])); } divide(ret, xs->size); return; } long closest(Point* p, PointArray* choices) { long i; double minVal = dist(p, &(choices->points[0])); long min = 0; for (i=1;isize;i++) { double actualDist = dist(p, &(choices->points[i])); if (actualDist < minVal) { min = i; minVal = actualDist; } } return min; } void calcClusters(PointArray* xs, Clusters* clusters, PointArray* centroids) { long i = 0; long theClosest = 0; clusters->size = 10; for (i=0;i<10;i++) clusters->groups[i].size = 0; for (i=0;isize;i++) { //printf("punto %d",i); theClosest = closest(&(xs->points[i]), centroids); insert(&(xs->points[theClosest]), &(xs->points[i])); } setCluster(clusters); return; } void run(PointArray* xs, Clusters* clusters) { long i,k; Point* temp = malloc(sizeof(Point)); PointArray* centroids = (PointArray*)malloc(sizeof(PointArray)); centroids->size = n; for (i=0;ipoints[i].x = xs->points[i].x; centroids->points[i].y = xs->points[i].y; } clusters->size = iters; for (k=0;kgroups[i]), temp); centroids->points[i].x = temp->x; centroids->points[i].y = temp->y; } } free(temp); free(centroids); return; } ================================================ FILE: c/kmeans.h ================================================ #ifndef KMEANS_H_INCLUDED #define KMEANS_H_INCLUDED #include"point.h" typedef struct { long size; Point points[100000]; } PointArray; typedef struct { long size; PointArray groups[10]; } Clusters; void run(PointArray* xs, Clusters* clusters); #endif // KMEANS_H_INCLUDED ================================================ FILE: c/main.c ================================================ #include #include #include"point.h" #include"hashmap.h" #include #include #include int times = 100; long int getTime(PointArray* xs, Clusters* clusters) { int i=0; struct timeval tval_before, tval_after, tval_result; gettimeofday(&tval_before, NULL); for (i=0;isize = 100000; json = json_load_file("../points.json", 0, &error); if(!json) { printf("Error parsing Json file"); fflush(stdout); return -1; } json_array_foreach(json, index, value) { double x = json_number_value(json_array_get(value,0)); double y = json_number_value(json_array_get(value,1)); xs->points[index].x = x; xs->points[index].y = y; } Clusters* clusters = (Clusters*)malloc(sizeof(Clusters)); temp += getTime(xs, clusters); printf("Average Time: %li ms\n", (temp/times)); return 0; } ================================================ FILE: c/point.c ================================================ #include #include"point.h" #include #include void divide(Point* p, long d) { p->x = p->x/((double)d); p->y = p->y/((double)d); return; } void add(Point* p1, Point* p2) { p1->x = p1->x+p2->x; p1->y = p1->y+p2->y; return; } void sub(Point* p1, Point* p2) { p1->x = p1->x-p2->x; p1->y = p1->y-p2->y; return; } double sq(double x) { return x*x; } double modulus(Point* p) { return sqrt(sq(p->x)+ sq(p->y)); } ================================================ FILE: c/point.h ================================================ #ifndef POINT_H_INCLUDED #define POINT_H_INCLUDED typedef struct { double x; double y; } Point; void divide(Point* p, long d); void add(Point* p1, Point* p2); void sub(Point* p1, Point* p2); double sq(double x); double modulus(Point* p); #endif // POINT_H_INCLUDED ================================================ FILE: chapel/.gitignore ================================================ kmeans ================================================ FILE: chapel/Makefile ================================================ MAKEFLAGS = --no-print-directory CHPL = chpl TARGETS = \ default: all clean: FORCE rm -f kmeans all: $(CHPL) --fast-followers --fast -optimize --specialize --local --no-checks --no-debug --optimize-loop-iterators --optimize-on-clauses --main-module main -o kmeans jansson.h -ljansson main.chpl FORCE: ================================================ FILE: chapel/main.chpl ================================================ const n: int = 10; const iters: int = 15; const executions: int = 100; class point { var x: real; var y: real; proc divide(d: real) { this.x = x/d; this.y = y/d; return; } proc add(p2: point) { this.x = this.x+p2.x; this.y = this.y+p2.y; return; } proc sub(p2: point) { this.x = this.x-p2.x; this.y = this.y-p2.y; return; } proc modulus() { return sqrt(sq(x)+sq(y)); } } class closestPoint : ReduceScanOp { type eltType; var min : point; var minDist: real = max(real); proc accumulate((val, p): (point, point)) { var actualDist = dist(p, val); if (actualDist < minDist) { minDist = actualDist; min = val; } } proc combine(other: closestPoint){ if (this.minDist > other.minDist) { this.min = other.min; this.minDist = other.minDist; } } proc generate(){ return min; } } proc sq(x: real) { return x*x; } proc dist(p1: point, p2: point) { var tmp: point = new point(p1.x, p1.y); tmp.sub(p2); var result = tmp.modulus(); delete(tmp); return result; } proc average(ps: domain(point)): point { var sum: point = new point(0,0); forall e in ps do sum.add(e); sum.divide(ps.size); return sum; } proc closest(rp: point, choices: [] point): point { //Cannot use a reduce operator instatiating it with a parameter? return closestPoint reduce forall x in choices do (x,rp); } proc clusters(xs: [] point, centroids: [] point) { //too tricky hashmap construction... type PointArr = domain(point); var keys: domain(point); var hashMap: [keys] PointArr; forall c in centroids do keys += c; forall x in xs do hashMap(closest(x, centroids)) += x; var result: [1..centroids.size] PointArr; forall i in 1..centroids.size do { result[i] += hashMap(centroids(i)); } return result; } var centroids: [1..n] point; var xs: [1..100000] point; C.getJson(); for i in 1..100000 do xs[i] = new point(C.getXAt(i), C.getYAt(i)); use Time; var timer = new Timer(); timer.clear(); timer.start(); for k in 1..executions do { forall j in 1..n do { delete(centroids[j]); centroids[j] = new point(xs[j].x, xs[j].y); } for i in 1..iters do { var clus = clusters(xs, centroids); forall c in [1..n] do { centroids[c] = average(clus[c]); } } } timer.stop(); var elapsedTime = timer.elapsed(TimeUnits.milliseconds); writeln("Last centroids are:"); for c in centroids do writeln(c); writeln("Elapsed time is ", (elapsedTime/executions)); module C { extern { #include #include #include #include static double cxs[100000]; static double cys[100000]; static void getJson() { int i=0; json_t *json; json_error_t error; size_t index; long int temp = 0; json_t *value; json = json_load_file("../points.json", 0, &error); if(!json) { printf("Error parsing Json file"); fflush(stdout); return; } json_array_foreach(json, index, value) { double x = json_number_value(json_array_get(value,0)); double y = json_number_value(json_array_get(value,1)); cxs[index] = x; cys[index] = y; } return; } static double getXAt(long i) { return cxs[i-1]; } static double getYAt(long i) { return cys[i-1]; } } } ================================================ FILE: clojure/project.clj ================================================ (defproject kmeans "0.1.0" :description "Kmeans benchmark" :dependencies [ [org.clojure/clojure "1.7.0"] [cheshire "5.3.1"]] :source-paths ["src/clj"] :main kmeans.benchmark) ================================================ FILE: clojure/src/clj/kmeans/algo.clj ================================================ (ns kmeans.algo) (defn sq [x] (* x x)) (defn v- [[a b] [c d]] [(- a c) (- b d)]) (defn v+ [[a b] [c d]] [(+ a c) (+ b d)]) (defn vdiv [[a b] k] [(/ a k) (/ b k)]) (defn norm [[a b]] (Math/sqrt (+ (sq a) (sq b)))) (defn dist [v w] (norm (v- v w))) (defn closest [x choices] (apply min-key #(dist x %) choices)) (defn avg [xs] (vdiv (reduce v+ xs) (count xs))) (defn clusters [xs centroids] (vals (group-by #(closest % centroids) xs))) (defn run [points n iters] (let [centroids-seq (iterate (fn [centroids] (map avg (clusters points centroids))) (take n points)) final-centroids (nth centroids-seq iters)] (clusters points final-centroids))) ================================================ FILE: clojure/src/clj/kmeans/benchmark.clj ================================================ (ns kmeans.benchmark (:require [clojure.java.io :as io] [cheshire.core :as json]) (:use [kmeans.algo])) (defn now [] (.getTime (java.util.Date.))) (defn result [ms iters] (println (str "The average time was " (/ (float ms) iters) " ms"))) (defn read-points [path] (json/parse-stream (io/reader path) true)) (defn -main [& args] (let [ n 10 iters 15 repeated 100 points (read-points "../points.json") start (now) ] (dotimes [_ repeated] (run points n iters)) (result (- (now) start) repeated) )) ================================================ FILE: cpp/.gitignore ================================================ /bii /bin ================================================ FILE: cpp/Point.cpp ================================================ #include #include "Point.h" using std::cout; using std::ostream; using std::hash; using std::size_t; Point::Point() {} Point::Point(double x_, double y_) { x = x_; y = y_; } bool Point::operator==(const Point& q) const { return (x == q.x) && (y == q.y); } Point Point::operator+(const Point& q) const { return Point(x + q.x, y + q.y); } Point Point::operator-(const Point& q) const { return Point(x - q.x, y - q.y); } Point Point::operator/(double k) const { return Point(x / k, y / k); } double Point::norm() const { return sqrt(x * x + y * y); } bool Point::operator<(const Point& q) const { if (x != q.x) { return x < q.x; } else { return y < q.y; } } double dist(const Point& p, const Point& q) { return (p - q).norm(); } ostream& operator<<(ostream& os, const Point& p) { os << "(" << p.x << ", " << p.y << ")"; } ================================================ FILE: cpp/Point.h ================================================ #ifndef GUARD_Point #define GUARD_Point #include class Point { public: double x, y; Point(); Point(double x_, double y_); Point operator+(const Point& q) const; Point operator-(const Point& q) const; Point operator/(double k) const; double norm() const; bool operator==(const Point& q) const; bool operator<(const Point& q) const; friend std::ostream& operator<<(std::ostream& os, const Point& p); }; double dist(const Point& p, const Point& q); namespace std { template <> struct hash { size_t operator()(const Point& p) const { return hash()(p.x) ^ (hash()(p.y) << 1); } }; } #endif ================================================ FILE: cpp/benchmark.cpp ================================================ #include #include #include #include #include #include #include #include #include "json11/json11.hpp" #include "Point.h" #include "kmeans.h" using std::string; using std::cout; using std::endl; using std::vector; using std::domain_error; using std::ifstream; using std::chrono::steady_clock; using json11::Json; Point read_point(const Json& json) { if (json.is_array()) { auto coords = json.array_items(); return Point(coords[0].number_value(), coords[1].number_value()); } throw domain_error("Invalid JSON"); } vector read_points(const string& path) { if (ifstream infile{path}) { const string contents{std::istreambuf_iterator(infile), {}}; string error; auto json = Json::parse(contents, error); auto items = json.array_items(); vector result; transform(items.begin(), items.end(), back_inserter(result), read_point); return result; } throw domain_error("Invalid JSON"); } int main() { const int n = 10; const int iters = 15; const int repeat = 100; auto points = read_points("../points.json"); steady_clock::time_point begin = steady_clock::now(); for (int i = 0; i < repeat; i++) { auto centroids = kmeans(points, n, iters); } steady_clock::time_point end = steady_clock::now(); int millis = std::chrono::duration_cast(end - begin).count(); int average = millis / repeat; cout << "Average running time = " << average << " ms" << std::endl; return 0; } ================================================ FILE: cpp/biicode.conf ================================================ # Biicode configuration file [requirements] lasote/json11: 4 [parent] # The parent version of this block. Must match folder name. E.g. # user/block # No version number means not published yet # You can change it to publish to a different track, and change version, e.g. # user/block(track): 7 [paths] # Local directories to look for headers (within block) # / # include [dependencies] # Manual adjust file implicit dependencies, add (+), remove (-), or overwrite (=) # hello.h + hello_imp.cpp hello_imp2.cpp # *.h + *.cpp [mains] # Manual adjust of files that define an executable # !main.cpp # Do not build executable from this file # main2.cpp # Build it (it doesnt have a main() function, but maybe it includes it) [tests] # Manual adjust of files that define a CTest test # test/* pattern to evaluate this test/ folder sources like tests [hooks] # These are defined equal to [dependencies],files names matching bii*stage*hook.py # will be launched as python scripts at stage = {post_process, clean} # CMakeLists.txt + bii/my_post_process1_hook.py bii_clean_hook.py [includes] # Mapping of include patterns to external blocks # hello*.h: user3/depblock # includes will be processed as user3/depblock/hello*.h json11/*.hpp: lasote [data] # Manually define data files dependencies, that will be copied to bin for execution # By default they are copied to bin/user/block/... which should be taken into account # when loading from disk such data # image.cpp + image.jpg # code should write open("user/block/image.jpg") ================================================ FILE: cpp/kmeans.cpp ================================================ #include #include #include #include #include "kmeans.h" using std::vector; using std::unordered_map; Point average(const vector& v) { return accumulate(v.begin(), v.end(), Point(0.0, 0.0)) / v.size(); } Point closest(Point p, const vector& centroids) { double minDist = std::numeric_limits::max(); Point result; for (const auto& c : centroids) { auto d = dist(p, c); if (d < minDist) { minDist = d; result = c; } } return result; } unordered_map> group_by(const vector& points, const vector& centroids) { unordered_map> groups; for (const auto& p : points) { groups[closest(p, centroids)].push_back(p); } return groups; } void update_centroids(const vector& points, vector& centroids) { auto groups = group_by(points, centroids); int i = 0; for (const auto& g : groups) { centroids[i] = average(g.second); ++i; } } vector kmeans(const vector& points, int n, int iterations) { vector centroids(points.begin(), points.begin() + n); for (int i = 0; i < iterations; i++) { update_centroids(points, centroids); } return centroids; } ================================================ FILE: cpp/kmeans.h ================================================ #ifndef GUARD_Kmeans #define GUARD_Kmeans #include #include "Point.h" std::vector kmeans(const std::vector& points, int n, int iterations); #endif ================================================ FILE: crystal/.gitignore ================================================ /kmeans ================================================ FILE: crystal/kmeans.cr ================================================ require "json" N = 10 ITERS = 15 struct Point getter x, y def initialize(@x : Float64, @y : Float64) end def +(p : Point) Point.new @x + p.x, @y + p.y end def -(p : Point) Point.new @x - p.x, @y - p.y end def /(d) Point.new @x / d, @y / d end def modulus Math.sqrt(sq(@x) + sq(@y)) end end def sq(d : Float64) d * d end def dist(x : Point, y : Point) (x - y).modulus end def average(xs : Array(Point)) xs.reduce { |x, y| x + y } / xs.size end def closest(x : Point, choices : Array(Point)) choices.min_by { |y| dist(x, y) } end def clusters(xs : Array(Point), centroids : Array(Point)) xs.group_by { |x| closest(x, centroids) }.values end def run(xs : Array(Point)) centroids = xs.first(N) ITERS.times do centroids = clusters(xs, centroids).map { |l| average(l) } end centroids end str = File.read("../points.json") xs = Array(Point).new Array(Array(Float64)).from_json(str) do |elem| xs << Point.new elem.at(0), elem.at(1) end BM_ITERATIONS = 100 before = Time.now BM_ITERATIONS.times do centroids = run(xs) # puts "centroids: \n #{centroids}" end after = Time.now time = ((after - before) / BM_ITERATIONS).milliseconds puts "Made #{BM_ITERATIONS} iterations with an average of #{time} milliseconds" ================================================ FILE: cuda/CMakeLists.txt ================================================ # CMakeLists.txt for G4CU project project(kmeans) # required cmake version cmake_minimum_required(VERSION 2.8) # packages find_package(CUDA) # nvcc flags set(CUDA_SEPARABLE_COMPILATION ON) cuda_add_executable(kmeans.out src/point.cu src/kmeans.cu src/main.cu) target_link_libraries(kmeans.out jansson) ================================================ FILE: cuda/src/config.h ================================================ #ifndef CONFIGURATION_H_INCLUIDED #define CONFIGURATION_H_INCLUIDED // set to 1 if you want run repository specifications otherwise, 0 #define REPOSITORY_SPECIFICATION 1 // number of executions of the same algorithim // its a specification of repository #define TIMES 100 // its a repository specification. // Its a number of iterations of each k-means execution #define NUMBER_OF_ITERATIONS 15 // debug logs #define DEBUG_LOGS 1 // number of centroids extern int NUMBER_OF_CENTROIDS; // number of points extern int NUMBER_OF_POINTS; #endif // CONFIGURATION_H_INCLUIDED ================================================ FILE: cuda/src/kmeans.cu ================================================ #include #include #include "kmeans.h" #include "point.h" #include "config.h" /** Groups the points in a centroid. */ __global__ void km_group_by_cluster(Point* points, Centroid* centroids, int num_centroids, int num_points) { int idx = blockIdx.x * blockDim.x + threadIdx.x; int i = 0; float minor_distance = -1.0; if (idx < num_points) { for (i = 0; i < num_centroids; i++) { float my_distance = km_distance(&points[idx], ¢roids[i]); // if my_distance is less than the lower minor_distance // or minor_distance is not yet started if (minor_distance > my_distance || minor_distance == -1.0) { minor_distance = my_distance; points[idx].cluster = i; } } } } /** Sum the points of each centroid */ __global__ void km_sum_points_cluster(Point* points, Centroid* centroids, int num_centroids, int num_points) { extern __shared__ Centroid s_centroids[]; int tdx = threadIdx.x; int idx = blockIdx.x * blockDim.x + threadIdx.x; // init global memory if (idx < num_centroids) { centroids[idx].x_sum = 0.0; centroids[idx].y_sum = 0.0; centroids[idx].num_points = 0.0; } // init shared memory if (tdx < num_centroids) { s_centroids[tdx].x_sum = 0.0; s_centroids[tdx].y_sum = 0.0; s_centroids[tdx].num_points = 0.0; } __syncthreads(); // use shared memory for intermediate sums if (idx < num_points) { int i = points[idx].cluster; atomicAdd(&s_centroids[i].x_sum, points[idx].x); atomicAdd(&s_centroids[i].y_sum, points[idx].y); atomicAdd(&s_centroids[i].num_points, 1); } __syncthreads(); // then sum partial results in global memory, thus we reduce accesses to global memory if (tdx < num_centroids) { atomicAdd(¢roids[tdx].x_sum, s_centroids[tdx].x_sum); atomicAdd(¢roids[tdx].y_sum, s_centroids[tdx].y_sum); atomicAdd(¢roids[tdx].num_points, s_centroids[tdx].num_points); } } /** Update the centroids with current clustering. Gets the x and y sum and divides by number of point for each centroid.\ */ __global__ void km_update_centroids(Centroid* centroids, int num_centroids) { int idx = blockIdx.x * blockDim.x + threadIdx.x; if (idx < num_centroids) { if (centroids[idx].num_points > 0) { centroids[idx].x = centroids[idx].x_sum / centroids[idx].num_points; centroids[idx].y = centroids[idx].y_sum / centroids[idx].num_points; } } } /** Compare the clusters of each point. @param p1 - points of current iteration @param p2 - points of last iteration */ __global__ void km_points_compare(Point* p1, Point* p2, int num_points, int *result) { int idx = blockIdx.x * blockDim.x + threadIdx.x; if (idx < num_points) { // if any points has its cluster different, changes the result variable if (p1[idx].cluster != p2[idx].cluster) { *result = 0; } } } /** Copy a point array. Utilized to copy the status of points on the last iteration to compare them. */ __global__ void km_points_copy(Point* p_dest, Point* p_src, int num_points) { int idx = blockIdx.x * blockDim.x + threadIdx.x; if (idx < num_points) { p_dest[idx] = p_src[idx]; } } /** * Executes the k-mean algorithm. * To measure your global methods, use that: * * cudaEvent_t start, stop; * float time; * cudaEventCreate(&start); * cudaEventCreate(&stop); * cudaEventRecord(start, 0); * * // put your__global__ method here! * * cudaEventRecord(stop, 0); * cudaEventSynchronize(stop); * cudaEventElapsedTime(&time, start, stop); * printf("%lf\n", times) */ void km_execute(Point* h_points, Centroid* h_centroids, int num_points, int num_centroids) { int iterations = 0; Point* d_points; Point* d_points_old; Centroid* d_centroids; int h_res = 1; int *d_res; cudaMalloc((void**) &d_res, sizeof(int)); cudaMalloc((void**) &d_points_old, sizeof(Point) * num_points); cudaMalloc((void **) &d_points, sizeof(Point) * num_points); cudaMalloc((void **) &d_centroids, sizeof(Centroid) * num_centroids); cudaMemcpy(d_points, h_points, sizeof(Point) * num_points, cudaMemcpyHostToDevice); cudaMemcpy(d_centroids, h_centroids, sizeof(Centroid) * num_centroids, cudaMemcpyHostToDevice); while (true) { km_group_by_cluster<<>>(d_points, d_centroids, num_centroids, num_points); cudaDeviceSynchronize(); km_sum_points_cluster<<>>(d_points, d_centroids, num_centroids, num_points); cudaDeviceSynchronize(); km_update_centroids<<>>(d_centroids, num_centroids); cudaDeviceSynchronize(); if (REPOSITORY_SPECIFICATION == 1) { // in repository specifications, // we just want know if number of // iterations is equals NUMBER_OF_ITERATIONS - 1 (iterations starts in 0) if (iterations == (NUMBER_OF_ITERATIONS - 1)) { break; } } else { // TODO: WARNING: // THIS IMPLEMENTATION IS NOT WORKING YET! if (iterations > 0) { h_res = 1; cudaMemcpy(d_res, &h_res , sizeof(int), cudaMemcpyHostToDevice); km_points_compare<<>>(d_points, d_points_old, num_points, d_res); cudaDeviceSynchronize(); cudaMemcpy(&h_res, d_res, sizeof(int), cudaMemcpyDeviceToHost); // if h_rest == 1 the two vector of points are equal and the kmeans iterations // has completed all work if (h_res == 1) { break; } } km_points_copy<<>>(d_points_old, d_points, num_points); cudaDeviceSynchronize(); } iterations++; } cudaMemcpy(h_centroids, d_centroids , sizeof(Centroid) * num_centroids, cudaMemcpyDeviceToHost); cudaFree(d_points); cudaFree(d_centroids); cudaFree(d_points_old); cudaFree(d_res); } ================================================ FILE: cuda/src/kmeans.h ================================================ #ifndef KMEANS_H_INCLUDED #define KMEANS_H_INCLUDED #include "point.h" __global__ void km_group_by_cluster(Point* points, Centroid* centroids, int num_centroids); __global__ void km_sum_points_cluter(Point* points, Centroid* centroids, int num_centroids); __global__ void km_update_centroids(Centroid* centroids); __global__ void km_points_compare(Point* p1, Point* p2, int num_points, int *result); __global__ void km_points_copy(Point* p_dest, Point* p_src, int num_points); void km_execute(Point* h_points, Centroid* h_centroids, int num_points, int num_centroids); void copy_points_to_kernel(Point* h_points, Point* d_points, int array_size); void copy_centroids_to_kernel(Point* h_centroids, Point* d_centroids, int array_size); #endif // KMEANS_H_INCLUDED ================================================ FILE: cuda/src/main.cu ================================================ #include #include #include #include #include #include #include #include #include "point.h" #include "kmeans.h" #include "config.h" int NUMBER_OF_POINTS = 100000; int NUMBER_OF_CENTROIDS = 10; void print_me(Centroid* centroids) { if (!DEBUG_LOGS) { return; } for (int i = 0; i < NUMBER_OF_CENTROIDS; i++) { printf("[x=%lf, y=%lf, x_sum=%lf, y_sum=%lf, num_points=%i]\n", centroids[i].x, centroids[i].y, centroids[i].x_sum, centroids[i].y_sum, centroids[i].num_points); } printf("--------------------------------------------------\n"); } long int run_kmeans_repo_specifications(Point* points, Centroid* centroids) { struct timeval time_before, time_after, time_result; gettimeofday(&time_before, NULL); // load the initial centroids for (int ci = 0; ci < NUMBER_OF_CENTROIDS; ci++) { centroids[ci].x = points[ci].x; centroids[ci].y = points[ci].y; } print_me(centroids); for (int i = 0; i < TIMES; i++) { km_execute(points, centroids, NUMBER_OF_POINTS, NUMBER_OF_CENTROIDS); if (i + 1 == TIMES) { print_me(centroids); } else { // load the centroids to next iteration for (int ci = 0; ci < NUMBER_OF_CENTROIDS; ci++) { centroids[ci].x = points[ci].x; centroids[ci].y = points[ci].y; } } } gettimeofday(&time_after, NULL); timersub(&time_after, &time_before, &time_result); long int ms = ((long int)time_result.tv_sec*1000) + ((long int)time_result.tv_usec/1000); return ms / TIMES; } long int run_kmeans_rocks(Point* points, Centroid* centroids) { // load the initial centroids for (int i = 0; i < NUMBER_OF_CENTROIDS; i++) { centroids[i].x = points[i].x; centroids[i].y = points[i].y; } print_me(centroids); struct timeval time_before, time_after, time_result; gettimeofday(&time_before, NULL); km_execute(points, centroids, NUMBER_OF_POINTS, NUMBER_OF_CENTROIDS); gettimeofday(&time_after, NULL); timersub(&time_after, &time_before, &time_result); long int ms = ((long int)time_result.tv_sec*1000) + ((long int)time_result.tv_usec/1000); print_me(centroids); return ms; } int main(int argc, char *argv[]) { json_t *json; json_error_t error; size_t index; long int total_time = 0; json_t *value; if (argc > 1 && argc < 4) { printf("Usage: ./kmeans.out [input_file.json number_of_points number_of_centroids]\n"); return 0; } if (argc == 4) { json = json_load_file(argv[1], 0, &error); NUMBER_OF_POINTS = atoi(argv[2]); NUMBER_OF_CENTROIDS = atoi(argv[3]); } else { json = json_load_file("../points.json", 0, &error); } cudaSetDevice(0); // 100.000 points it's the repository default. Point* points = (Point*) malloc(NUMBER_OF_POINTS * sizeof(Point)); Centroid* centroids = (Centroid*) malloc(NUMBER_OF_CENTROIDS * sizeof(Centroid)); // validates json if (!json) { printf("Error parsing Json file"); fflush(stdout); return -1; } // load points from json json_array_foreach(json, index, value) { float x = json_number_value(json_array_get(value, 0)); float y = json_number_value(json_array_get(value, 1)); points[index].x = x; points[index].y = y; } // call K-means if (REPOSITORY_SPECIFICATION == 1) { total_time = run_kmeans_repo_specifications(points, centroids); } else { total_time = run_kmeans_rocks(points, centroids); } free(centroids); free(points); printf("Average Time: %li ms\n", total_time); cudaDeviceReset(); return 0; } ================================================ FILE: cuda/src/point.cu ================================================ #include"point.h" #include #include __device__ void km_divide(Point* p, long d) { p->x = p->x / ((float) d); p->y = p->y / ((float) d); return; } __device__ void km_add(Point* p1, Point* p2) { p1->x = p1->x + p2->x; p1->y = p1->y + p2->y; return; } __device__ void km_sub(Point* p1, Point* p2) { p1->x = p1->x - p2->x; p1->y = p1->y - p2->y; return; } __device__ float km_sq(float x) { return x * x; } __device__ float km_modulus(Point* p) { return sqrtf(km_sq(p->x) + km_sq(p->y)); } __device__ float km_distance(Point* p, Centroid* c) { //printf("valor %lf\n", &c->x); float dx = p->x - c->x; float dy = p->y - c->y; return sqrtf(dx*dx + dy*dy); } ================================================ FILE: cuda/src/point.h ================================================ #ifndef POINT_H_INCLUDED #define POINT_H_INCLUDED typedef struct { float x; float y; int cluster; } Point; typedef struct { float x; float y; float x_sum; float y_sum; int num_points; } Centroid; __device__ void km_divide(Point* p, long d); __device__ void km_add(Point* p1, Point* p2); __device__ void km_sub(Point* p1, Point* p2); __device__ float km_sq(float x); __device__ float km_modulus(Point* p); __device__ float km_distance(Point* p, Centroid* c); #endif // POINT_H_INCLUDED ================================================ FILE: d/main.d ================================================ import std.stdio; import std.math; import std.json; import std.file; import std.datetime; class Point { const double x; const double y; this(double x, double y) { this.x = x; this.y = y; } Point add(Point p2) { return new Point(x+p2.x, y+p2.y); } Point sub(Point p2) { return new Point(x-p2.x, y-p2.y); } Point divide(double d) { return new Point(x/d, y/d); } double modulus() { return sqrt(sq(x) + sq(y)); } } auto sq = (double x) => x*x; auto dist = (Point p1, Point p2) => p1.sub(p2).modulus(); Point average(Point[] points) { auto ret = new Point(0,0); for (int i=0 ; i Dict.values end defp sum({x1, y1}, {x2, y2}) do {x1 + x2, y1 + y2} end defp shrink({x, y}, factor) do {x / factor, y / factor} end defp average(cluster) do List.foldl(tl(cluster), hd(cluster), &sum/2) |> shrink length(cluster) end defp step(points, iterations, centroids) do case iterations do 0 -> centroids _ -> step points, iterations - 1, Enum.map(clusters(centroids, points), &average/1) end end def run(points, k, iterations) do centroids = step points, iterations, Enum.take(points, k) clusters centroids, points end end ================================================ FILE: elixir/main.exs ================================================ defmodule Main do defp strip_brackets(xs) do Enum.slice xs, 1, length(xs) - 2 end defp parse_float(xs) do Enum.map xs, fn(s) -> elem(Float.parse(s), 0) end end defp to_tuples(xs) do case xs do [] -> [] [a, b | tail] -> [{a, b} | to_tuples tail] end end defp read_points(filename) do File.read!(filename) |> String.split(~r{[][,]+}) |> strip_brackets |> parse_float |> to_tuples end def main() do times = 100 k = 10 iterations = 15 points = read_points "../points.json" benchmarks = for _ <- 1..times do { elapsed, _ } = :timer.tc Kmeans, :run, [points, k, iterations] elapsed / 1000 end IO.puts "Made #{times} iterations with an average of #{Enum.sum(benchmarks) / times} ms" end end Main.main() ================================================ FILE: erlang/kmeans.erl ================================================ -module(kmeans). -export([run/3]). -compile(inline). run(Xs, N, Iters) -> InitCentroids = lists:sublist(Xs, N), Step = fun(_, Centroids) -> [average(X) || X <- clusters(Xs, Centroids)] end, FinalCentroids = lists:foldl(Step, InitCentroids, lists:seq(1, Iters)), clusters(Xs, FinalCentroids). divide({Px,Py}, K) -> {Px/K, Py/K}. add({Px1, Py1}, {Px2, Py2}) -> {(Px1+Px2), (Py1+Py2)}. sub({Px1, Py1}, {Px2, Py2}) -> {(Px1-Px2), (Py1-Py2)}. sq(X) -> X*X. modulus({Px, Py}) -> math:sqrt((sq(Px) + sq(Py))). dist(P1, P2) -> modulus(sub(P1,P2)). average(Q) -> divide(sum(Q),length(Q)). sum(L) -> Add = fun(X, Acc) -> add(X, Acc) end, lists:foldl(Add, {0.0, 0.0}, L). closest(P, Centroids) -> element(2, lists:min([{dist(P, C), C} || C <- Centroids])). clusters(Xs, Centroids) -> groupBy(Xs, fun(X) -> closest(X, Centroids) end). groupBy(L, Fn) -> Group = fun(X, Dict) -> Add = fun(T) -> [X|T] end, dict:update(Fn(X), Add, [X], Dict) end, Dict = lists:foldl(Group, dict:new(), L), [ V || {_,V} <- dict:to_list(Dict)]. ================================================ FILE: erlang/main.erl ================================================ -module(main). -export([run/0]). times() -> 100. n() -> 10. iters() -> 15. run() -> Xs = read_points("../points.json"), Times = [getTime(Xs) || _ <- lists:seq(1, times())], Time = lists:sum(Times)/times(), Time. read_points(FileName) -> {ok, Data} = file:read_file(FileName), [<<>>|Bins] = re:split(Data, "[][,]+", [trim]), points([binary_to_float(X) || X <- Bins]). getTime(Xs) -> Ms = element(1, timer:tc(kmeans, run, [Xs, n(), iters()]))/1000, % io:write(Ms), io:nl(), Ms. points([]) -> []; points([H1, H2 | T]) -> [{H1, H2} | points(T)]. ================================================ FILE: factor/kmeans/benchmark/benchmark.factor ================================================ USING: generalizations io.encodings.utf8 io.files json.reader kernel kmeans tools.time ; IN: kmeans.benchmark : load-points ( path -- points ) utf8 file-contents json> ; : kmeans-benchmark ( runs path -- ) load-points [ [ dup 15 swap 10 kmeans drop ] repeat ] time drop ; ================================================ FILE: factor/kmeans/kmeans.factor ================================================ USING: assocs generalizations kernel math.statistics math.vectors sequences ; IN: kmeans : closest ( ys x -- y ) [ distance ] curry infimum-by ; : clusters ( xs centroids -- clusters ) [ swap closest ] curry collect-by values ; : vsum ( vs -- w ) { 0 0 } [ v+ ] reduce ; : avg ( vs -- w ) [ vsum ] [ length ] bi v/n ; : centroids ( clusters -- centroids ) [ avg ] map ; : kmeans-start ( xs n -- clusters ) dupd head clusters ; : kmeans-step ( clusters -- clusters ) [ concat ] [ centroids ] bi clusters ; : kmeans ( iters xs n -- clusters ) kmeans-start [ kmeans-step ] repeat ; ================================================ FILE: fsharp/.gitignore ================================================ *.exe paket.lock .paket/paket.exe packages *.dll !.paket/paket.bootstrapper.exe ================================================ FILE: fsharp/Makefile ================================================ default: all all: mono .paket/paket.bootstrapper.exe mono .paket/paket.exe install cp packages/Newtonsoft.Json/lib/net40/Newtonsoft.Json.dll ./ fsharpc --standalone -r:packages/Newtonsoft.Json/lib/net40/Newtonsoft.Json.dll kmeans.fs main.fs run: mono main.exe ================================================ FILE: fsharp/kmeans.fs ================================================ module Kmeans type Point = { x: double; y: double } let sq (x: double) = x*x type Point with static member (+) (p1: Point, p2: Point) = { x = p1.x + p2.x; y = p1.y + p2.y } static member (-) (p1: Point, p2: Point) = { x = p1.x - p2.x; y = p1.y - p2.y } static member (*) (p1: Point, p2: Point) = { x = p1.x * p2.x; y = p1.y * p2.y } static member (/) (p: Point, d: double) = { x = p.x / d; y = p.y / d } static member Zero = { x = 0.0; y = 0.0 } member this.modulus = sqrt ( sq(this.x) + sq(this.y)) let dist (p1: Point, p2: Point) = (p1 - p2).modulus let average (xs: Point list) = (xs |> List.sum) / (xs.Length |> double) let closest (p: Point, xs: Point list) = xs |> List.minBy( fun x -> dist (p, x) ) let clusters (xs: Point list, centroids: Point list) = xs |> List.groupBy( fun x -> closest ( x, centroids)) |> List.map snd let rec run (xs: Point list, centroids: Point list, iters: int) = match iters with | 1 -> let finalCentroids = clusters ( xs, centroids) |> List.map average //printfn "Final centroids are %A" finalCentroids finalCentroids | _ -> run (xs, clusters ( xs, centroids) |> List.map average, iters - 1) let start (xs: Point list, iters: int, n: int) = run (xs, xs |> List.take n, iters) ================================================ FILE: fsharp/main.fs ================================================ open Kmeans open System.IO open FSharp.Data open Newtonsoft.Json open Newtonsoft.Json.Linq let file = File.ReadAllText(@"../points.json") let json = JArray.Parse(file) let getPoint (e: JToken) = { x = (double (e.Item(0).ToString())); y = (double (e.Item(1).ToString())) } let xs = [ for i in 0 .. (json.Count-1) -> getPoint(json.Item(i)) ] let iterations = 100 let stopWatch = System.Diagnostics.Stopwatch.StartNew() for i in 1 .. iterations do start (xs, 15, 10) |> ignore stopWatch.Stop() let time = stopWatch.Elapsed.TotalMilliseconds / (float iterations) printfn "Average time is %f" time ================================================ FILE: fsharp/paket.dependencies ================================================ source https://nuget.org/api/v2 nuget Newtonsoft.Json ================================================ FILE: go/.gitignore ================================================ main ================================================ FILE: go/main.go ================================================ package main import ( "encoding/json" "fmt" "io/ioutil" "math" "time" ) func sq(x float64) float64 { return x * x } type Point struct { x, y float64 } func (p Point) add(p2 Point) Point { return Point{p.x + p2.x, p.y + p2.y} } func (p Point) sub(p2 Point) Point { return Point{p.x - p2.x, p.y - p2.y} } func (p Point) divide(d float64) Point { return Point{p.x / d, p.y / d} } func (p Point) modulus() float64 { return math.Sqrt(sq(p.x) + sq(p.y)) } func dist(p1 Point, p2 Point) float64 { return (p1.sub(p2)).modulus() } func average(points []Point) Point { tmp := Point{0, 0} for _, point := range points { tmp = tmp.add(point) } tmp = tmp.divide(float64(len(points))) return tmp } func closest(p Point, choices []Point) int { min := 0 minDist := math.MaxFloat64 for i, choice := range choices { actualDist := dist(p, choice) if minDist > actualDist { min = i minDist = actualDist } } return min } func clusters(xs []Point, centroids []Point) [][]Point { hm := make([][]Point, len(centroids)) for _, x := range xs { theClosest := closest(x, centroids) hm[theClosest] = append(hm[theClosest], x) } i := 0 for i < len(hm) { if len(hm[i]) > 0 { i++ } else { hm = append(hm[:i], hm[i+1:]...) } } return hm } func run(n int, iters int, xs []Point) [][]Point { centroids := make([]Point, n) copy(centroids, xs) for k := 0; k < iters; k++ { clus := clusters(xs, centroids) for i := 0; i < n; i++ { centroids[i] = average(clus[i]) } } /* fmt.Println("Final Centroids are ") for _, centroid := range centroids { fmt.Println(centroid) }*/ return clusters(xs, centroids) } func main() { executions := 100 iters := 15 n := 10 dat, err := ioutil.ReadFile("../points.json") if err != nil { fmt.Println("Error reading file ") panic(err) } res := &[][]float64{} json.Unmarshal(dat, &res) xs := []Point{} for _, res := range *res { xs = append(xs, Point{res[0], res[1]}) } before := time.Now() for ex := 0; ex < executions; ex++ { run(n, iters, xs) } after := time.Now() time := (after.Sub(before).Nanoseconds()) / int64(1000000) / int64(executions) fmt.Println("Average time is ", time) } ================================================ FILE: haskell/Kmeans.hs ================================================ module Kmeans where import Data.List (minimumBy) import Data.Ord (comparing) import Data.Map (Map, fromListWith, elems) import Debug.Trace (trace) import Point closest :: Point -> [Point] -> Point closest p qs = minimumBy (comparing (dist p)) qs groupBy :: Ord b => (a -> b) -> [a] -> Map b [a] groupBy f xs = fromListWith (++) [(f x, [x]) | x <- xs] clusters :: [Point] -> [Point] -> [[Point]] clusters ps centroids = elems $ groupBy (flip closest centroids) ps run :: [Point] -> Int -> Int -> [[Point]] run ps iters n = step ps centroids iters where centroids = take n ps step ps centroids iters = let newClusters = clusters ps centroids in if iters == 0 then newClusters -- trace (show centroids) newClusters else step ps (map average newClusters) (iters - 1) ================================================ FILE: haskell/Main.hs ================================================ module Main where import Text.JSON (decode, Result(..)) import Text.Printf (printf) import System.CPUTime (getCPUTime) import Control.DeepSeq (deepseq) import Point (Point(..)) import Kmeans (run) readPoints :: String -> [Point] readPoints string = map readPoint xs where xs = case (decode string :: Result [[Double]]) of Ok t -> t _ -> error "Invalid JSON" readPoint [x, y] = Point x y main = do content <- readFile "../points.json" let ps = readPoints content start <- ps `deepseq` getCPUTime -- in picoseconds, deepseq forces evaluation let clusters = run ps 15 10 -- how to run 100 times? end <- clusters `deepseq` getCPUTime let diff = (fromIntegral (end - start)) / (10^9) printf "Made 1 iteration in %0.1f ms\n" (diff :: Double) ================================================ FILE: haskell/Point.hs ================================================ module Point where import GHC.Float (int2Double) import Control.DeepSeq (NFData) data Point = Point Double Double deriving (Show, Eq) (+.) :: Point -> Point -> Point (Point x1 y1) +. (Point x2 y2) = Point (x1 + x2) (y1 + y2) (-.) :: Point -> Point -> Point (Point x1 y1) -. (Point x2 y2) = Point (x1 - x2) (y1 - y2) (/.) :: Point -> Double -> Point (Point x y) /. k = Point (x / k) (y / k) norm :: Point -> Double norm (Point x y) = sqrt $ (x * x) + (y * y) dist :: Point -> Point -> Double dist p q = norm $ p -. q psum :: [Point] -> Point psum = foldl (+.) (Point 0 0) average :: [Point] -> Point average ps = (psum ps) /. int2Double (length ps) instance Ord Point where (Point x1 y1) `compare` (Point x2 y2) = let c = x1 `compare` x2 in if c == EQ then y1 `compare` y2 else c instance NFData Point -- needed to force evaluation ================================================ FILE: haskell/Setup.hs ================================================ import Distribution.Simple main = defaultMain ================================================ FILE: haskell/kmeans.cabal ================================================ -- Initial kmeans.cabal generated by cabal init. For further -- documentation, see http://haskell.org/cabal/users-guide/ name: kmeans version: 0.1.0.0 -- synopsis: -- description: kmeans -- license: license-file: LICENSE author: Andrea Ferretti maintainer: ferrettiandrea@gmail.com -- copyright: -- category: build-type: Simple -- extra-source-files: cabal-version: >=1.10 executable kmeans main-is: Main.hs -- other-modules: -- other-extensions: build-depends: base >=4.6, containers >= 0.5, json >= 0.3, deepseq >= 1.3 -- hs-source-dirs: default-language: Haskell2010 ================================================ FILE: java/pom.xml ================================================ 4.0.0 unicredit kmeans-java 0.1-SNAPSHOT jar com.fasterxml.jackson.core jackson-core 2.5.1 org.apache.maven.plugins maven-compiler-plugin 3.2 1.7 1.7 org.codehaus.mojo exec-maven-plugin 1.2.1 Entry ================================================ FILE: java/src/main/java/Entry.java ================================================ import java.io.File; import com.fasterxml.jackson.core.JsonFactory; import com.fasterxml.jackson.core.JsonParser; import com.fasterxml.jackson.core.JsonToken; public class Entry { static int times = 100; public static void main(String[] args) throws Exception { JsonFactory factory = new JsonFactory(); JsonParser jp = factory.createJsonParser(new File("../points.json")); Point[] Xs = new Point[100000]; int i = 0; while (true) { JsonToken actual = jp.nextValue(); while (actual == JsonToken.START_ARRAY) { actual = jp.nextValue(); } try { double x = jp.getDoubleValue(); jp.nextToken(); double y = jp.getDoubleValue(); Xs[i] = new Point(x,y); i++; } catch(Exception ex) { //ex.printStackTrace(); break; } actual = jp.nextToken(); while (jp.nextToken() == JsonToken.END_ARRAY) { actual = jp.nextToken(); } } jp.close(); KMeans kmeans = new KMeans(Xs); long totalTime = 0; long timeBefore = System.currentTimeMillis(); for (int k=0;k xs) { double size = xs.size(); Iterator iter = xs.iterator(); Point p = new Point(0,0); while (iter.hasNext()) { p.addToThis(iter.next()); } p.divideToThis(size); return p; } private Point closest(Point x, Point[] choices) { double minVal = dist(x, choices[0]); int min = 0; for (int i=1;i> clusters() { HashMap> hm = new HashMap>(); for (int i=0;i alp = hm.get(Key); if (alp == null) alp = new ArrayList(); alp.add(Xs[i]); hm.put(Key, alp); } return hm.values(); } public Collection> run() { Centroids = new Point[n]; for(int i=0;i> clusters = clusters(); int k = 0; for (ArrayList cluster: clusters) { Centroids[k] = average(cluster); k++; } } return clusters(); } } ================================================ FILE: java/src/main/java/Point.java ================================================ public class Point { double x = 0; double y = 0; public Point(double x, double y) { this.x = x; this.y = y; } public Point divide(double d) { return new Point(x/d,y/d); } public void divideToThis(double d) { x = x/d; y = y/d; return; } public Point add(Point p2) { return new Point(x + p2.x, y + p2.y); } public void addToThis(Point p2) { x = x + p2.x; y = y + p2.y; return; } public Point sub(Point p2) { return new Point(x - p2.x, y - p2.y); } private double sq(double x) { return x*x; } public double modulus() { return Math.sqrt(sq(x) + sq(y)); } @Override public String toString() { return "(" + x + "," + y + ")"; } } ================================================ FILE: java8/pom.xml ================================================ 4.0.0 com.example.demos java8-kmeans 1.0-SNAPSHOT com.fasterxml.jackson.module jackson-module-kotlin 2.5.1 org.apache.maven.plugins maven-compiler-plugin 3.2 1.8 1.8 org.codehaus.mojo exec-maven-plugin 1.2.1 com.example.Main ================================================ FILE: java8/src/main/java/com/example/KMeans.java ================================================ package com.example; import java.util.*; import java.util.stream.Collectors; import java.util.stream.Stream; import static java.util.stream.Collectors.*; import static java.util.stream.Collectors.groupingBy; import static java.util.stream.Collectors.minBy; /** * Created by evacchi on 27/02/15. */ public class KMeans { int n = 10; int iters = 15; public void run(List xs) { Stream centroids = xs.stream().limit(n); for (int i = 0; i < iters; i++) { centroids = clusters(xs, centroids.collect(toList())) .stream().map(this::average); } List ps = centroids.collect(toList()); clusters(xs, ps); } public Collection> clusters(List xs, List centroids) { return xs.stream().collect(groupingBy((Point x) -> closest(x, centroids))).values(); } public Point closest(final Point x, List choices) { return choices.stream() .collect(minBy((y1, y2) -> dist(x, y1) <= dist(x, y2) ? -1 : 1)).get(); } public double sq(double x) { return x*x; } public double dist(Point x, Point y) { return x.minus(y).getModulus(); } public Point average(List xs) { return xs.stream().reduce(Point::plus).get().div(xs.size()); } } ================================================ FILE: java8/src/main/java/com/example/Main.java ================================================ package com.example; import com.fasterxml.jackson.core.JsonFactory; import com.fasterxml.jackson.core.JsonParser; import com.fasterxml.jackson.core.type.TypeReference; import com.fasterxml.jackson.databind.ObjectMapper; import java.io.File; import java.text.MessageFormat; import java.util.List; import static java.util.stream.Collectors.toList; /** * Created by evacchi on 28/02/15. */ public class Main { private List readPoints(String path) throws Exception { JsonParser json = new JsonFactory().createParser(new File(path)); ObjectMapper mapper = new ObjectMapper(); TypeReference>> typeReference = new TypeReference>>(){}; return mapper.>>readValue(json, typeReference).stream().map( x -> new Point(x.get(0), x.get(1)) ).collect(toList()); } public void main() throws Exception { final int iterations = 100; final List points = readPoints("../points.json"); final KMeans kMeans = new KMeans(); long start = System.currentTimeMillis(); for (int i = 0; i < iterations; i++) { kMeans.run(points); } long time = (System.currentTimeMillis() - start) / iterations; System.out.println(MessageFormat.format("Made {0} iterations with an average of" + " {1} milliseconds", iterations, time)); } public static void main(String[] args) throws Exception { new Main().main(); } } ================================================ FILE: java8/src/main/java/com/example/Point.java ================================================ package com.example; /** * Created by evacchi on 28/02/15. */ class Point { double x,y; public Point(double x, double y) { this.x = x; this.y = y; } public double getX() { return x; } public double getY() { return y; } public Point plus(Point p2) { return new Point(x + p2.getX(), y + p2.getY()); } public Point minus(Point p2) { return new Point(x - p2.getX(), y - p2.getY()); } public Point div(double d) { return new Point(x/d, y/d); } public Double getModulus() { return Math.sqrt(sq(x) + sq(y)); } private double sq(double x) { return x*x; } @Override public String toString() { return "(" +x+", "+y+")"; } } ================================================ FILE: julia/kmeans.jl ================================================ # do Pkg.add("JSON") first import Base.+ import Base./ using JSON type Point x::Float64 y::Float64 end +(p1::Point, p2::Point) = Point(p1.x + p2.x, p1.y + p2.y) /(p::Point, k::Number) = Point(p.x / k, p.y / k) dist(p1::Point, p2::Point) = sqrt((p1.x - p2.x)^2 + (p1.y - p2.y)^2) function closest(p1::Point, points) mindist = Inf min_i = 0 for i in 1:length(points) disti = dist(p1, points[i]) if disti < mindist mindist = disti min_i = i end end return points[min_i] end function groupby(points, centroids) g = Dict{Point, Vector{Point}}() for p in points c = closest(p, centroids) if haskey(g, c) push!(g[c], p) else g[c] = [p] end end return g end update_centroids(points, centroids) = [mean(g) for g in values(groupby(points, centroids))] function run(xs, n, iters=15) centroids = xs[1:n] for i in 1:iters centroids = update_centroids(xs, centroids) end return groupby(xs, centroids) end function main() points = [Point(x[1], x[2]) for x in JSON.parsefile("../points.json")] iterations = 100 tic() for i in 1:iterations run(points, 10) end avgtime = toq() * 1000 / iterations println("Made $iterations iterations with an average of $avgtime milliseconds") end main() ================================================ FILE: kotlin/pom.xml ================================================ 4.0.0 com.kmeans kotlin-kmeans 1.0-SNAPSHOT 1.1-M01 sonatype.oss.snapshots Sonatype OSS Snapshot Repository http://oss.sonatype.org/content/repositories/snapshots false true false bintray-kotlin-kotlin-eap-1.1 bintray http://dl.bintray.com/kotlin/kotlin-eap-1.1 sonatype.oss.snapshots Sonatype OSS Snapshot Repository http://oss.sonatype.org/content/repositories/snapshots false true false bintray-kotlin-kotlin-eap-1.1 bintray-plugins http://dl.bintray.com/kotlin/kotlin-eap-1.1 org.jetbrains.kotlin kotlin-stdlib ${kotlin.version} com.fasterxml.jackson.module jackson-module-kotlin 2.5.1 kotlin-maven-plugin org.jetbrains.kotlin ${kotlin.version} compile compile compile test-compile test-compile test-compile org.codehaus.mojo exec-maven-plugin 1.2.1 KmeansKt ================================================ FILE: kotlin/src/main/java/kmeans.kt ================================================ import java.io.File import com.fasterxml.jackson.core.type.TypeReference import com.fasterxml.jackson.databind.ObjectMapper //-------------------------------------------------------------------- //-- Constants ------------------------------------------------------- //-------------------------------------------------------------------- val N = 10 val times = 15 val iterations = 100 //-------------------------------------------------------------------- //-- Tools ----------------------------------------------------------- //-------------------------------------------------------------------- fun millisToRun(thunk: () -> T): Pair { val start = System.currentTimeMillis() val result = thunk() val time = System.currentTimeMillis() - start return Pair(result, time) } // specialized (and faster) version of 'minBy' fun > T.minBy(selector: (pt: V) -> Double): V { var minE = this.first() var minV = Double.MAX_VALUE for (e in this) { val v = selector(e) if (v < minV) { minV = v minE = e } } return minE } //-------------------------------------------------------------------- //-- Point ----------------------------------------------------------- //-------------------------------------------------------------------- data class Point(val x: Double, val y: Double) { operator fun plus(pt: Point) = Point(this.x + pt.x, this.y + pt.y) operator fun div(d: Double) = Point(this.x / d, this.y / d) fun distanceTo(pt: Point): Double { val x = this.x - pt.x val y = this.y - pt.y return Math.sqrt((x * x) + (y * y)) } } //-------------------------------------------------------------------- //-- Points ---------------------------------------------------------- //-------------------------------------------------------------------- typealias Points = List fun Points.closestTo(pt: Point) = this.minBy(pt::distanceTo) fun Points.average(): Point = this.reduce(Point::plus) / this.size.toDouble() //-------------------------------------------------------------------- //-- Main ------------------------------------------------------------ //-------------------------------------------------------------------- fun readPoints(path: String): Points { val mapper = ObjectMapper() val typeref = object : TypeReference>>() {} val list = mapper.readValue>>(File(path), typeref) return list.map { Point(it[0], it[1]) } } fun run(points: Points): Points = (1 .. times).fold( points.take(N) ) { centroids, ix -> points.groupBy(centroids::closestTo) .values .map(Points::average) } fun main(args: Array) { val points = readPoints("../points.json") val (centroids, time) = millisToRun { (2 .. iterations).forEach { run(points) } run(points) } print("ran $iterations iterations, ") println("average of ${time / iterations} milliseconds.") centroids.forEach(::println) } //-------------------------------------------------------------------- ================================================ FILE: lisp/kmeans.lisp ================================================ (declaim (optimize (speed 3) (space 0) (debug 0) (safety 0) (compilation-speed 0))) (defconstant n 10) (defconstant iterations 15) (defconstant executions 100) (defstruct (point (:constructor make-point (x y))) (x 0.0D0 :type double-float) (y 0.0D0 :type double-float)) (declaim (inline add addf divide dividef modulus dist average averagef closest clusters)) (defun add (p1 p2) (declare (point p1 p2)) (make-point (+ (point-x p1) (point-x p2)) (+ (point-y p1) (point-y p2)))) (defun addf (p1 p2) (declare (point p1 p2)) (setf (point-x p1) (+ (point-x p1) (point-x p2)) (point-y p1) (+ (point-y p1) (point-y p2))) p1) (defun divide (p d &aux (df (coerce d 'double-float))) (declare (point p)) (make-point (/ (point-x p) df) (/ (point-y p) df))) (defun dividef (p d &aux (df (coerce d 'double-float))) (declare (point p)) (setf (point-x p) (/ (point-x p) df) (point-y p) (/ (point-y p) df)) p) (defun modulus (x y) (declare (double-float x y)) (sqrt (the (double-float 0.0D0) (+ (* x x) (* y y))))) (defun dist (p1 p2) (declare (point p1 p2)) (modulus (- (point-x p1) (point-x p2)) (- (point-y p1) (point-y p2)))) (defun average (points) (loop :with sum := (make-point 0.0D0 0.0D0) :for point :in points :for length :of-type fixnum :from 1 :do (addf sum point) :finally (return (dividef sum length)))) (defun averagef (average points) (declare (point average)) (setf (point-x average) 0.0D0 (point-y average) 0.0D0) (loop :for point :in points :for length :of-type fixnum :from 1 :do (addf average point) :finally (return (dividef average length)))) (defun closest (rp choices) (loop :with min := (first choices) :with min-dist :of-type double-float := (dist rp min) :for point :in (rest choices) :for dist :of-type double-float := (dist rp point) :when (< dist min-dist) :do (setq min-dist dist min point) :finally (return min))) (defun clusters (xs centroids) (loop :with clusters := (make-hash-table :test 'eq) :for x :in xs :do (push x (gethash (closest x centroids) clusters)) :finally (return clusters))) (defun main-loop (xs) (loop :repeat executions :for centroids := (loop :repeat n :for point :in xs :collect (copy-point point)) :do (loop :repeat iterations :for clusters := (clusters xs centroids) :do (loop :for centroid :in centroids :do (averagef centroid (gethash centroid clusters)))) :finally (return centroids))) (defun make-points-readtable () (let ((readtable (with-standard-io-syntax (copy-readtable)))) (set-macro-character #\[ (lambda (stream char) (declare (ignore char)) (loop :for char := (read-char stream t nil t) :until (char= char #\]) :do (unread-char char stream) :collect (read stream t nil t))) nil readtable) (set-syntax-from-char #\] #\) readtable) (set-syntax-from-char #\, #\ readtable) readtable)) (defun benchmark () (let* ((xs (mapcar (lambda (p) (apply 'make-point p)) (let ((*readtable* (make-points-readtable)) (*read-default-float-format* 'double-float)) (with-open-file (in "../points.json" :direction :input) (read in))))) (start (get-internal-real-time)) (centroids (main-loop xs)) (stop (get-internal-real-time))) (format t "Last centroids are: ~{~%~A~}~%" centroids) (format t "Elapsed time is ~A~%" (/ (/ (* (- stop start) internal-time-units-per-second) 1000.0) executions)))) (benchmark) ================================================ FILE: lisp/readme.txt ================================================ This is fairly straightforward, portable Common Lisp code. No additional libraries are necessary. The code has been tested on several Common Lisp implementations, but for benchmarking this particular code, SBCL is recommended. There is a shell script that shows how to invoke SBCL to run this code. If SBCL is not available in your package manager, you can download a binary from http://sbcl.org/platform-table.html ================================================ FILE: lua/kmeans.lua ================================================ local sqrt = math.sqrt local clock = os.clock local json = require("dkjson") local Point = {} Point.__index = Point setmetatable(Point, { __call = function(self, x, y) return setmetatable({_x=x, _y=y}, Point) end }) function Point:x() return self._x end function Point:y() return self._y end function Point:__add(other) return Point(self._x + other._x, self._y + other._y) end function Point:__div(value) return Point(self._x / value, self._y / value) end function Point:dist(other) return sqrt((self._x - other._x)^2 + (self._y - other._y)^2) end function Point:closest(points) local min = math.huge local min_i for i, point in ipairs(points) do local dist = self:dist(point) if dist < min then min = dist min_i = i end end return points[min_i] end function Point:__tostring() return ("Point(%f,%f)"):format(self._x, self._y) end local function sum(t, start) local total = start or 0 for _, i in ipairs(t) do total = total + i end return total end local function len(t) local l = 0 for _ in pairs(t) do l = l + 1 end return l end local function groupby(points, centroids) local g = {} for _, p in ipairs(points) do local c = p:closest(centroids) g[c] = g[c] or {} table.insert(g[c], p) end return g end local function update_centroids(points, centroids) local groups = groupby(points, centroids) local res = {} local i = 1 for _, g in pairs(groups) do res[i] = sum(g, Point(0, 0)) / len(g) i = i + 1 end return res end local function run(xs, n, iters) iters = iters or 15 local centroids = {} for i = 1, n do table.insert(centroids, xs[i]) end for i = 1, iters do centroids = update_centroids(xs, centroids) end return groupby(xs, centroids) end if not ... then local data = json.decode(io.open("../points.json"):read("*a")) local points = {} for i, x in ipairs(data) do points[i] = Point(x[1], x[2]) end local start = clock() local iterations = 100 for i = 1, iterations do run(points, 10) end local total = (clock() - start) * 1000 / iterations print(("Made %d iterations with an average of %.2f milliseconds"):format(iterations, total)) end ================================================ FILE: nim/algo.nim ================================================ import math, hashes, tables, sequtils type Point* = tuple[x, y: float] Points* = seq[Point] Centroids = openarray[Point] proc hash(p: Point): THash {.noInit.} = !$(p.x.hash !& p.y.hash) proc `+`(p, q: Point): Point {.noInit.} = (p.x + q.x, p.y + q.y) proc `-`(p, q: Point): Point {.noInit.} = (p.x - q.x, p.y - q.y) proc `/`(p: Point, k: float): Point {.noInit.} = (p.x / k, p.y / k) proc norm(p: Point): float {.noInit.} = sqrt(p.x * p.x + p.y * p.y) proc dist(p, q: Point): float {.noInit.} = norm(p - q) proc closest(p: Point, centroids: Centroids): Point {.noInit.} = var minDist = Inf for centroid in centroids: let d = dist(p, centroid) if d < minDist: minDist = d result = centroid proc groupBy(points: Points, centroids: Centroids): Table[Point,Points] = result = initTable[Point, Points]() for c in centroids: result[c] = @[] for point in points: let centroid = point.closest(centroids) result.mget(centroid).add(point) proc average(points: Points): Point = foldl(points, a + b) / float(points.len) proc updateCentroids(points: Points, centroids: var Centroids) = let groups = points.groupBy(centroids) var ix = 0 for group in groups.values: centroids[ix] = average(group) ix += 1 proc calculateCentroids*(points: Points, centroids: var Centroids, iterations: int = 15) = for ix, x in centroids: centroids[ix] = points[ix] for i in 1 .. iterations: updateCentroids(points, centroids) ================================================ FILE: nim/benchmark.nim ================================================ import times, json, math, strutils, algo const n = 10 iterations = 100 filename = "../points.json" proc loadPoints(): Points = result = newSeq[Point]() for p in parseFile(filename).items: result.add((x: p[0].fnum, y: p[1].fnum)) proc main() = let points = loadPoints() var centroids : array[n, Point] let start = cpuTime() for i in 1 .. iterations: calculateCentroids(points, centroids) let time = (((cpuTime() - start) * 1000) / float(iterations)).round echo format("Made $1 iterations with an average of $2 miliseconds", iterations, time) for centroid in centroids: echo centroid when isMainModule: main() ================================================ FILE: node/kmeans.js ================================================ var _ = require("lodash"); var fs = require("fs"); function sq(x) { return x * x } function dist(x, y) { return Math.sqrt(sq(x[0] - y[0]) + sq(x[1] - y[1])); } function closest(x, choices) { return _.min(choices, function(y) { return dist(x, y); }); } function clusters(xs, centroids) { return _(xs) .groupBy(function (x) { return closest(x, centroids); }) .values() .value(); } function vsum(v, w) { return _.map(v, function(x, i) { return x + w[i]; }); } function average(xs) { var total = _.reduce(xs, vsum); var l = xs.length; return _.map(total, function(t) { return t / l; }); } function run(xs, n, iters) { var centroids = _.take(xs, n); for (var i = 0; i < iters; i++) { centroids = _.map(clusters(xs, centroids), average); } return clusters(xs, centroids); } var points = JSON.parse(fs.readFileSync("../points.json")); var iterations = 100; var n = 10; var start = (new Date()).getTime(); for (var i = 0; i < iterations; i++) { run(points, n, 15); } var time = ((new Date()).getTime() - start) / iterations; console.log("Running " + iterations + " iterations as required " + time + " ms"); ================================================ FILE: node/package.json ================================================ { "name": "kmeans", "dependencies": { "lodash": "*" } } ================================================ FILE: ocaml/kmeans.ml ================================================ open Core.Std open Point let min_by f xs = let Some h = List.hd xs in let m = f h in let (_, min_elt) = List.fold xs ~init:(m, h) ~f:(fun (a, x) y -> let b = f y in (if b < a then (b, y) else (a, x))) in min_elt let closest p qs = min_by (dist p) qs let sum qs = List.fold qs ~init:{x = 0.0; y = 0.0} ~f:( ++ ) let average qs = (sum qs) // (qs |> List.length |> Float.of_int) let group_by xs f = let table = Hashtbl.Poly.create () in List.iter xs (fun x -> let y = f x in match Hashtbl.find table y with | Some l -> Hashtbl.replace table ~key:y ~data:(x :: l) | None -> Hashtbl.replace table ~key:y ~data:[x]); table let clusters xs centroids = group_by xs (fun p -> closest p centroids) |> Hashtbl.data let run points iters n = let centroids = ref (List.take points n) in let new_clusters = ref (clusters points !centroids) in for i = 1 to iters do centroids := List.map !new_clusters average; new_clusters := clusters points !centroids; done; !new_clusters ================================================ FILE: ocaml/kmeans.mli ================================================ open Core.Std val run: Point.t list -> int -> int -> Point.t list list ================================================ FILE: ocaml/main.ml ================================================ open Core.Std let read_point json = let open Yojson.Basic.Util in let open Point in let [x; y] = List.map (json |> to_list) ~f:to_float in { x; y } let read_points path = let json = Yojson.Basic.from_file path in let open Yojson.Basic.Util in let values = json |> to_list in List.map values ~f:read_point let () = let runs = 100 in let points = read_points "../points.json" in let start = Time.now() in for i = 1 to runs do ignore(Kmeans.run points 15 10); done; let finish = Time.now() in let milliseconds = (Time.diff finish start) |> Time.Span.to_ms in Printf.printf "We made 100 iterations with an average of %f ms\n" (milliseconds /. (Float.of_int runs)) ================================================ FILE: ocaml/point.ml ================================================ open Core.Std type t = { x: float; y: float } let ( ++ ) { x = x1; y = y1 } { x = x2; y = y2 } = { x = x1 +. x2; y = y1 +. y2 } let ( -- ) { x = x1; y = y1 } { x = x2; y = y2 } = { x = x1 -. x2; y = y1 -. y2 } let ( // ) { x; y } k = { x = x /. k; y = y /. k } let norm { x; y } = sqrt (x *. x +. y *. y) let dist x y = norm (x -- y) ================================================ FILE: opencl/.gitignore ================================================ kmeans ================================================ FILE: opencl/kmeans.cl ================================================ #include "point.h" float dist(__global Point* p, __global Centroid* c) { float dx = p->x - c->x; float dy = p->y - c->y; return dx*dx + dy*dy; } __kernel void group_by_cluster(__global Point* points, __global Centroid* centroids, int num_points, int num_centroids) { int idx = get_global_id(0); int i = 0; float min_distance = -1.0; if (idx < num_points) { for (i = 0; i < num_centroids; i++) { float d = dist(points + idx, centroids + i); if (min_distance > d || min_distance == -1.0) { min_distance = d; points[idx].cluster = i; } } } } __kernel void sum_points(__global Point* points, __global Accum* accum, __local Accum* scratch, int num_points, int num_centroids) { int lid = get_local_id(0); int gid = get_global_id(0); int wid = get_group_id(0); int pos = lid * num_centroids; int s; int j; for (s = pos; s < pos + num_centroids; s++) { scratch[s].x_sum = 0.0; scratch[s].y_sum = 0.0; scratch[s].num_points = 0; } if (gid < num_points) { int cluster = points[gid].cluster; scratch[pos + cluster].x_sum = points[gid].x; scratch[pos + cluster].y_sum = points[gid].y; scratch[pos + cluster].num_points = 1; } barrier(CLK_LOCAL_MEM_FENCE); for(s = get_local_size(0) / 2; s > 0; s = s / 2) { if (lid < s) { for (j = 0; j < num_centroids; j++) { int dst = pos + j; int src = pos + j + s * num_centroids; scratch[dst].x_sum += scratch[src].x_sum; scratch[dst].y_sum += scratch[src].y_sum; scratch[dst].num_points += scratch[src].num_points; } } barrier(CLK_LOCAL_MEM_FENCE); } if (lid == 0) { for (j = 0; j < num_centroids; j++) { int h = wid * num_centroids + j; accum[h].x_sum = scratch[pos + j].x_sum; accum[h].y_sum = scratch[pos + j].y_sum; accum[h].num_points = scratch[pos + j].num_points; } } } __kernel void update_centroids(__global Accum* accum, __global Centroid* centroids, int work_groups, int num_centroids) { int gid = get_global_id(0); float x_sum = 0.0; float y_sum = 0.0; int num_points = 0; int j; if (gid < num_centroids) { for (j = 0; j < work_groups; j++) { int h = j * num_centroids + gid; x_sum += accum[h].x_sum; y_sum += accum[h].y_sum; num_points += accum[h].num_points; } if (num_points > 0) { centroids[gid].x = x_sum / num_points; centroids[gid].y = y_sum / num_points; } } } ================================================ FILE: opencl/kmeans.nim ================================================ import times, json, os, math, strutils, opencl, util, point proc loadPoints(filename: string): seq[Point] = result = newSeq[Point]() for p in parseFile(filename).items: result.add(Point(x: p[0].fnum, y: p[1].fnum, cluster: -1)) proc main() = const body = staticRead("kmeans.cl") n = 10 iterations = 100 var points = loadPoints("../points.json") centroids = newSeq[Centroid](n) let platform = getPlatformByName("NVIDIA CUDA") devices = platform.getDevices context = devices.createContext program = context.createProgram(body) queue = context.commandQueueFor(devices[0]) workGroups = devices[0].maxWorkGroups workItems = (points.len div workGroups).nextPowerOfTwo program.buildOn(devices) let groupByCluster = program.createKernel("group_by_cluster") sumPoints = program.createKernel("sum_points") updateCentroids = program.createKernel("update_centroids") start = cpuTime() gpuPoints = context.buffer(points) gpuCentroids = context.buffer(centroids) gpuAccum = buffer[Accum](context, centroids.len * workGroups) groupByCluster.args(gpuPoints, gpuCentroids, points.len.int32, centroids.len.int32) sumPoints.args(gpuPoints, gpuAccum, LocalBuffer[Accum](centroids.len * workItems), points.len.int32, centroids.len.int32) updateCentroids.args(gpuAccum, gpuCentroids, workGroups.int32, centroids.len.int32) for _ in 1 .. iterations: for i in 0 .. < centroids.len: centroids[i].x = points[i].x centroids[i].y = points[i].y queue.write(points, gpuPoints) queue.write(centroids, gpuCentroids) for _ in 1 .. 15: queue.run(groupByCluster, points.len) queue.run(sumPoints, workItems * workGroups, workItems) queue.run(updateCentroids, centroids.len) queue.read(centroids, gpuCentroids) let time = (((cpuTime() - start) * 1000) / float(iterations)).round echo format("Made $1 iterations with an average of $2 milliseconds", iterations, time) for a in centroids: echo a # Clean up release(queue) release(groupByCluster) release(sumPoints) release(updateCentroids) release(program) release(gpuPoints) release(gpuCentroids) release(context) when isMainModule: main() ================================================ FILE: opencl/kmeans.nimble ================================================ mode = ScriptMode.Verbose packageName = "kmeans-opencl" version = "0.1.0" author = "Andrea Ferretti" description = "OpenCL experiment" license = "Apache2" requires "nim >= 0.13.0", "opencl >= 1.0" template dependsOn*(task: untyped): stmt = exec "nimble " & astToStr(task) task headers, "compile headers with c2nim": exec "c2nim point.h" task kmeans, "run kmeans example": dependsOn headers switch("cincludes", "/usr/local/cuda/targets/x86_64-linux/include") switch("clibdir", "/usr/local/cuda/targets/x86_64-linux/lib") --define: release --path: "." --run setCommand "c", "kmeans" ================================================ FILE: opencl/point.h ================================================ typedef struct { float x; float y; int cluster; } Point; typedef struct { float x; float y; } Centroid; typedef struct { float x_sum; float y_sum; int num_points; } Accum; ================================================ FILE: opencl/point.nim ================================================ type Point* = object x*: cfloat y*: cfloat cluster*: cint Centroid* = object x*: cfloat y*: cfloat Accum* = object x_sum*: cfloat y_sum*: cfloat num_points*: cint ================================================ FILE: opencl/util.nim ================================================ import opencl type PlatformNotFound = object of Exception DeviceNotFound = object of Exception proc newPlatformNotFound(): ref PlatformNotFound = new result result.msg = "PlatformNotFound" proc newDeviceNotFound(): ref DeviceNotFound = new result result.msg = "DeviceNotFound" proc name*(id: PPlatformId): string = var size = 0 check getPlatformInfo(id, PLATFORM_NAME, 0, nil, addr size) result = newString(size) check getPlatformInfo(id, PLATFORM_NAME, size, addr result[0], nil) proc name*(id: PDeviceId): string = var size = 0 check getDeviceInfo(id, DEVICE_NAME, 0, nil, addr size) result = newString(size) check getDeviceInfo(id, DEVICE_NAME, size, addr result[0], nil) proc maxWorkGroups*(id: PDeviceId): int = check getDeviceInfo(id, DEVICE_MAX_WORK_GROUP_SIZE, sizeof(int), addr result, nil) proc localMemory*(id: PDeviceId): uint64 = check getDeviceInfo(id, DEVICE_LOCAL_MEM_SIZE, sizeof(int), addr result, nil) proc globalMemory*(id: PDeviceId): uint64 = check getDeviceInfo(id, DEVICE_GLOBAL_MEM_SIZE, sizeof(int), addr result, nil) proc maxWorkItems*(id: PDeviceId): seq[int] = var dims: int check getDeviceInfo(id, DEVICE_MAX_WORK_ITEM_DIMENSIONS, sizeof(int), addr dims, nil) result = newSeq[int](dims) check getDeviceInfo(id, DEVICE_MAX_WORK_ITEM_SIZES, dims * sizeof(int), addr result[0], nil) proc version*(id: PPlatformId): string = var size = 0 check getPlatformInfo(id, PLATFORM_VERSION, 0, nil, addr size) result = newString(size) check getPlatformInfo(id, PLATFORM_VERSION, size, addr result[0], nil) proc getPlatformByName*(platformName: string): PPlatformId = var numPlatforms: uint32 check getPlatformIDs(0, nil, addr numPlatforms) var platforms = newSeq[PPlatformId](numPlatforms) check getPlatformIDs(numPlatforms, addr platforms[0], nil) for platform in platforms: if platform.name.substr(0, platformName.high) == platformName: return platform raise newPlatformNotFound() proc getDevices*(platform: PPlatformId): seq[PDeviceId] = var numDevices: uint32 check getDeviceIDs(platform, DEVICE_TYPE_ALL, 0, nil, addr numDevices) if numDevices == 0: raise newDeviceNotFound() var devices = newSeq[PDeviceId](numDevices) check getDeviceIDs(platform, DEVICE_TYPE_ALL, numDevices, addr devices[0], nil) devices proc createContext*(devices: seq[PDeviceId]): PContext = var status: TClResult var devs = devices result = createContext(nil, devs.len.uint32, cast[ptr PDeviceId](addr devs[0]), nil, nil, addr status) check status proc createProgram*(context: PContext, body: string): PProgram = var status: TClResult var lines = [cstring(body)] result = createProgramWithSource(context, 1, cast[cstringArray](addr lines), nil, addr status) check status proc buffer*[A](context: PContext, size: int, flags: Tmem_flags = MEM_READ_WRITE): PMem = var status: TClResult result = createBuffer(context, flags, size * sizeof(A), nil, addr status) check status proc buffer*[A](context: PContext, xs: seq[A], flags: Tmem_flags = MEM_READ_WRITE): PMem = buffer[A](context, xs.len, flags) proc buildOn*(program: PProgram, devices: seq[PDeviceId]) = var devs = devices check buildProgram(program, devs.len.uint32, cast[ptr PDeviceId](addr devs[0]), nil, nil, nil) proc buildErrors*(program: PProgram, devices: seq[PDeviceId]): string = var logSize: int check getProgramBuildInfo(program, devices[0], PROGRAM_BUILD_LOG, 0, nil, addr logSize) result = newString(logSize + 1) check getProgramBuildInfo(program, devices[0], PROGRAM_BUILD_LOG, logSize, addr result[0], nil) proc commandQueueFor*(context: PContext, device: PDeviceId): PCommandQueue = var status: TClResult result = createCommandQueue(context, device, 0, addr status) check status proc createKernel*(program: PProgram, name: string): PKernel = var status: TClResult result = createKernel(program, name, addr status) check status type LocalBuffer*[A] = distinct int anyInt = int or int32 or int64 template setArg(kernel: PKernel, item: PMem, index: int) = var x = item check setKernelArg(kernel, index.uint32, sizeof(Pmem), addr x) template setArg[A](kernel: PKernel, item: var A, index: int) = check setKernelArg(kernel, index.uint32, sizeof(A), addr item) template setArg[A](kernel: PKernel, item: LocalBuffer[A], index: int) = check setKernelArg(kernel, index.uint32, int(item) * sizeof(A), nil) template setArg(kernel: PKernel, item: anyInt, index: int) = var x = item check setKernelArg(kernel, index.uint32, sizeof(type(item)), addr x) proc args*[A1](kernel: PKernel, a1: A1) = kernel.setArg(a1, 0) proc args*[A1, A2](kernel: PKernel, a1: A1, a2: A2) = kernel.setArg(a1, 0) kernel.setArg(a2, 1) proc args*[A1, A2, A3](kernel: PKernel, a1: A1, a2: A2, a3: A3) = kernel.setArg(a1, 0) kernel.setArg(a2, 1) kernel.setArg(a3, 2) proc args*[A1, A2, A3, A4](kernel: PKernel, a1: A1, a2: A2, a3: A3, a4: A4) = kernel.setArg(a1, 0) kernel.setArg(a2, 1) kernel.setArg(a3, 2) kernel.setArg(a4, 3) proc args*[A1, A2, A3, A4, A5](kernel: PKernel, a1: A1, a2: A2, a3: A3, a4: A4, a5: A5) = kernel.setArg(a1, 0) kernel.setArg(a2, 1) kernel.setArg(a3, 2) kernel.setArg(a4, 3) kernel.setArg(a5, 4) proc args*[A1, A2, A3, A4, A5, A6](kernel: PKernel, a1: A1, a2: A2, a3: A3, a4: A4, a5: A5, a6: A6) = kernel.setArg(a1, 0) kernel.setArg(a2, 1) kernel.setArg(a3, 2) kernel.setArg(a4, 3) kernel.setArg(a5, 4) kernel.setArg(a6, 5) proc run*(queue: PCommandQueue, kernel: PKernel, totalWork: int) = var globalWorkSize = [totalWork, 0, 0] check enqueueNDRangeKernel(queue, kernel, 1, nil, cast[ptr int](addr globalWorkSize), nil, 0, nil, nil) proc run*(queue: PCommandQueue, kernel: PKernel, totalWork, localWork: int) = var globalWorkSize = [totalWork, 0, 0] localWorkSize = [localWork, 0, 0] check enqueueNDRangeKernel(queue, kernel, 1, nil, cast[ptr int](addr globalWorkSize), cast[ptr int](addr localWorkSize), 0, nil, nil) proc write*(queue: PCommandQueue, src: pointer, dest: PMem, size: int) = check enqueueWriteBuffer(queue, dest, CL_FALSE, 0, size, src, 0, nil, nil) proc write*[A](queue: PCommandQueue, src: var seq[A], dest: PMem) = write(queue, addr src[0], dest, src.len * sizeof(A)) proc read*(queue: PCommandQueue, dest: pointer, src: PMem, size: int) = check enqueueReadBuffer(queue, src, CL_TRUE, 0, size, dest, 0, nil, nil) proc read*[A](queue: PCommandQueue, dest: var seq[A], src: PMem) = read(queue, addr dest[0], src, dest.len * sizeof(A)) template release*(queue: PCommandQueue) = check releaseCommandQueue(queue) template release*(kernel: PKernel) = check releaseKernel(kernel) template release*(program: PProgram) = check releaseProgram(program) template release*(buffer: PMem) = check releaseMemObject(buffer) template release*(context: PContext) = check releaseContext(context) ================================================ FILE: openmp/compile.sh ================================================ gcc -Wall -O3 -c hashmap.c -o hashmap.o `pkg-config --cflags --libs glib-2.0` gcc -Wall -O3 -c kmeans.c -o kmeans.o gcc -Wall -O3 -c main.c -o main.o gcc -Wall -O3 -c point.c -o point.o g++ -o kmeans hashmap.o kmeans.o main.o point.o `pkg-config --cflags --libs glib-2.0` -s -ljansson ================================================ FILE: openmp/makefile ================================================ # # build the openmp project. # # usage: # normal build: # $make # # clean project: # $make clean # # @author tmaltempi@gmail.com # @since 18/06/2015 # all: make-all GCC=gcc GPP=g++ make-all: clean kmeans.o main.o point.o kmeans kmeans.o: src/kmeans.c $(GCC) -Wall -O3 -c ./src/kmeans.c -o ./build/kmeans.o -fopenmp main.o: src/main.c gcc -Wall -O3 -c ./src/main.c -o ./build/main.o -fopenmp point.o: src/point.c $(GCC) -Wall -O3 -c ./src/point.c -o ./build/point.o -fopenmp kmeans: $(GPP) -o kmeans.out ./build/kmeans.o ./build/main.o ./build/point.o -s -ljansson -fopenmp clean: #create a backup of actual kmeans.out if exists /bin/sh -c 'if [ ! -d "build" ]; then mkdir build; fi' /bin/sh -c 'if [ -f kmeans.out ]; then mv kmeans.out kmeans.out.lastupdated; fi' rm -rf ./build/* ================================================ FILE: openmp/src/config.h ================================================ #ifndef CONFIGURATION_H_INCLUIDED #define CONFIGURATION_H_INCLUIDED // set to 1 if you want run repository specifications otherwise, 0 #define REPOSITORY_SPECIFICATION 0 // number of executions of the same algorithim // its a specification of repository #define TIMES 100 // its a repository specification. // Its a number of iterations of each k-means execution #define NUMBER_OF_ITERATIONS 15 // debug logs #define DEBUG_LOGS 1 // Number of threads extern int NUM_THREAD; // number of centroids extern int NUMBER_OF_CENTROIDS; // number of points extern int NUMBER_OF_POINTS; #endif // CONFIGURATION_H_INCLUIDED ================================================ FILE: openmp/src/kmeans.c ================================================ #include #include #include "kmeans.h" #include "point.h" #include #include "config.h" void group_by_cluster(Point* points, Centroid* centroids) { int i, j; # pragma omp parallel for num_threads(NUM_THREAD) \ default(none) firstprivate(centroids, points, NUMBER_OF_CENTROIDS, NUMBER_OF_POINTS) private(i, j) for (i = 0; i < NUMBER_OF_POINTS; i++) { double minor_distance = -1.0; for (j = 0; j < NUMBER_OF_CENTROIDS; j++) { double my_distance = km_distance(&points[i], ¢roids[j]); // if my_distance is less than the lower minor_distance // or minor_distance is not yet started if (minor_distance > my_distance || minor_distance == -1.0) { minor_distance = my_distance; points[i].centroid = j; } } } } void sum_points_cluster(Point* points, Centroid* centroids) { int i, j; for (i =0 ; i < NUMBER_OF_POINTS; i++) { for (j = 0; j < NUMBER_OF_CENTROIDS; j++) { if (points[i].centroid == j) { centroids[j].x_sum = centroids[j].x_sum + points[i].x; centroids[j].y_sum = centroids[j].y_sum + points[i].y; centroids[j].num_points = centroids[j].num_points + 1; } } } } void update_centroids(Centroid* centroids) { int i; for (i = 0; i < NUMBER_OF_CENTROIDS; i++) { if (centroids[i].num_points > 0) { centroids[i].x = centroids[i].x_sum / centroids[i].num_points; centroids[i].y = centroids[i].y_sum / centroids[i].num_points; } } } void clear_last_iteration(Centroid* centroids) { int i; for (i = 0; i < NUMBER_OF_CENTROIDS; i++) { // clear the last iteration sums centroids[i].x_sum = 0.0; centroids[i].y_sum = 0.0; centroids[i].num_points = 0.0; } } /** * Executes the k-mean algorithm. */ void km_execute(Point* points, Centroid* centroids) { int i = 0; for (i = 0; i < NUMBER_OF_ITERATIONS; i++) { clear_last_iteration(centroids); group_by_cluster(points, centroids); sum_points_cluster(points, centroids); update_centroids(centroids); } } ================================================ FILE: openmp/src/kmeans.h ================================================ #ifndef KMEANS_H_INCLUDED #define KMEANS_H_INCLUDED #include "point.h" void km_execute(Point* h_points, Centroid* h_centroids); #endif // KMEANS_H_INCLUDED ================================================ FILE: openmp/src/main.c ================================================ #include #include #include "point.h" #include #include #include #include #include "kmeans.h" #include "config.h" int NUMBER_OF_POINTS = 100000; int NUMBER_OF_CENTROIDS = 10; int NUM_THREAD = 4; void print_me(Centroid* centroids) { if (DEBUG_LOGS == 0) { return; } int i; for (i = 0; i < NUMBER_OF_CENTROIDS; i++) { printf("[x=%lf, y=%lf, x_sum=%lf, y_sum=%lf, num_points=%i]\n", centroids[i].x, centroids[i].y, centroids[i].x_sum, centroids[i].y_sum, centroids[i].num_points); } printf("--------------------------------------------------\n"); } long int run_kmeans(Point* points, Centroid* centroids) { struct timeval time_before, time_after, time_result; gettimeofday(&time_before, NULL); int ci, i; // # pragma omp parallel for num_threads(NUMBER_OF_THREADS) default(none) private(ci) firstprivate(points, centroids, NUMBER_OF_CENTROIDS) // load the initial centroids for (ci = 0; ci < NUMBER_OF_CENTROIDS; ci++) { centroids[ci].x = points[ci].x; centroids[ci].y = points[ci].y; centroids[ci].x_sum = 0; centroids[ci].y_sum = 0; centroids[ci].num_points = 0; } print_me(centroids); for (i = 0; i < TIMES; i++) { km_execute(points, centroids); if (i + 1 == TIMES) { print_me(centroids); } else { // load the centroids to next iteration for (ci = 0; ci < NUMBER_OF_CENTROIDS; ci++) { centroids[ci].x = points[ci].x; centroids[ci].y = points[ci].y; } } } gettimeofday(&time_after, NULL); timersub(&time_after, &time_before, &time_result); long int ms = ((long int) time_result.tv_sec * 1000) + ((long int) time_result.tv_usec / 1000); return ms / TIMES; } int main(int argc, char *argv[]) { json_t *json; json_error_t error; size_t index; long int total_time = 0; json_t *value; if (argc > 1 && argc < 5) { printf("Usage: ./kmeans.out [input_file.json number_of_points number_of_centroids number_of_threads]\n"); printf("or... ./kmeans.out [number_of_threads] \n"); return 0; } if (argc == 2) { NUM_THREAD = atoi(argv[1]); json = json_load_file("../points.json", 0, &error); } else if (argc == 5) { json = json_load_file(argv[1], 0, &error); NUMBER_OF_POINTS = atoi(argv[2]); NUMBER_OF_CENTROIDS = atoi(argv[3]); NUM_THREAD = atoi(argv[4]); } else { json = json_load_file("../points.json", 0, &error); } // printf("NUM_THREAD: %i | NUM_OF_POINTS: %i | NUM_OF_CENTROIDS: %i | FILENAME %s\n", NUM_THREAD, NUMBER_OF_POINTS, NUMBER_OF_CENTROIDS, argv[1]); Point* points = (Point*) malloc(NUMBER_OF_POINTS * sizeof(Point)); Centroid* centroids = (Centroid*) malloc( NUMBER_OF_CENTROIDS * sizeof(Centroid)); // validates json if (!json) { printf("Error parsing Json file"); fflush(stdout); return -1; } // load points from json json_array_foreach(json, index, value) { float x = json_number_value(json_array_get(value, 0)); float y = json_number_value(json_array_get(value, 1)); points[index].x = x; points[index].y = y; points[index].centroid = 0; } // call K-means total_time = run_kmeans(points, centroids); free(centroids); free(points); printf("Average Time: %li ms\n", total_time); return 0; } ================================================ FILE: openmp/src/point.c ================================================ #include #include "point.h" #include #include #include void divide(Point* p, long d) { p->x = p->x/((double)d); p->y = p->y/((double)d); return; } void add(Point* p1, Point* p2) { p1->x = p1->x+p2->x; p1->y = p1->y+p2->y; return; } void sub(Point* p1, Point* p2) { p1->x = p1->x-p2->x; p1->y = p1->y-p2->y; return; } double sq(double x) { return x*x; } double modulus(Point* p) { return sqrt(sq(p->x)+ sq(p->y)); } double km_distance(Point* p, Centroid* c) { double dx = p->x - c->x; double dy = p->y - c->y; return sqrt(dx*dx + dy*dy); } ================================================ FILE: openmp/src/point.h ================================================ #ifndef POINT_H_INCLUDED #define POINT_H_INCLUDED typedef struct { double x; double y; int centroid; } Point; typedef struct { double x; double y; double x_sum; double y_sum; int num_points; } Centroid; void divide(Point* p, long d); void add(Point* p1, Point* p2); void sub(Point* p1, Point* p2); double sq(double x); double modulus(Point* p); double km_distance(Point* p, Centroid* c); #endif // POINT_H_INCLUDED ================================================ FILE: parasail/benchmark.psl ================================================ func main (Args: Basic_Array ) is var R := Random::Start(11) var S := Random::Start(12) var Points: Vector := [] for I := 0 then I + 1 while I < 500 loop Points |= Point::New(Next_Real(R), Next_Real(S)) end loop var C := Clock::Create() const Start := C.Now() KMeans::Run(Points, 10, 15) const Elapsed_Time := C.Now() - Start Println("It took " | Elapsed_Time | " seconds") end func main ================================================ FILE: parasail/kmeans.psl ================================================ interface KMeans<> is func Run(PS: Vector; N: Univ_Integer; Iters: Univ_Integer) -> Vector> end interface KMeans class KMeans is func Average(PS: Vector) -> Point is const L := Length(PS) * 1.0 var Q := Point::New(0.0, 0.0) for each P of PS loop Q += P end loop return Q / L end func Average func Values(Groups: Map>) -> Result: Vector> is Result := [] for each [K => V] of Groups loop Result |= V end loop end func Values func Clusters(PS: Vector; Centroids: Vector) -> Vector> is var Groups: Map> := [] for each P of PS loop const Q := Closest(P, Centroids) if Q in Groups then Groups[Q] |= P else Groups[Q] := [P] end if end loop return Values(Groups) end func Clusters func Closest(P: Point; QS: Vector) { QS.magnitude > 0 } -> Point is var X: optional Point := null var m: optional Univ_Real := null for each Q of QS loop const d := Dist(P, Q) if m is null or else d < m then m := d X := Q end if end loop return X end func Closest func Take(PS: Vector; N: Univ_Integer) -> Result: Vector is Result := [] for I := 1 then I + 1 while I <= N loop Result |= PS[I] end loop end func Take exports func Run(PS: Vector; N: Univ_Integer; Iters: Univ_Integer) -> Vector> is var Centroids := Take(PS, N) for I := 0 then I + 1 while I < Iters loop const Groups := Clusters(PS, Centroids) Centroids := [] for each G of Groups loop Centroids |= Average(G) end loop end loop return Clusters(PS, Centroids) end func Run end class KMeans ================================================ FILE: parasail/point.psl ================================================ interface Point<> is func New(X: Univ_Real; Y: Univ_Real) -> Point func To_String(P: Point) -> Univ_String func Println(P: Point) is (Println(To_String(P))) op "=?"(P, Q: Point) -> Ordering // is (To_String(P) =? To_String(Q)) func Hash(P: Point) -> Univ_Integer // is (Hash(To_String(P))) func Dist(P, Q: Point) -> Univ_Real op "+" (P, Q: Point) -> Point op "+=" (var P: Point; Q: Point) op "-" (P, Q: Point) -> Point op "/" (P: Point; K: Univ_Real) { K != 0.0 } -> Point end interface Point class Point is var X: Univ_Real var Y: Univ_Real func Norm(P: Point) -> Univ_Real is return Sqrt(P.X * P.X + P.Y * P.Y) end func Norm exports func New(X: Univ_Real; Y: Univ_Real) -> Point is return (X => X, Y => Y) end func New func To_String(P: Point) -> Univ_String is return "(" | P.X | ", " | P.Y | ")" end func To_String func Hash(P: Point) -> Univ_Integer is return 104543 * Hash(P.X) + Hash(P.Y) end func Hash op "=?" (P, Q : Point) -> Ordering is if P.X != Q.X then return P.X =? Q.X else return P.Y =? Q.Y end if end op "=?" op "+" (P, Q: Point) -> Point is return New(P.X + Q.X, P.Y + Q.Y) end op "+" op "+=" (var P: Point; Q: Point) is P.X += Q.X P.Y += Q.Y end op "+=" op "-" (P, Q: Point) -> Point is return New(P.X - Q.X, P.Y - Q.Y) end op "-" op "/" (P: Point; K: Univ_Real) { K != 0.0 } -> Point is return New(P.X / K, P.Y / K) end op "/" func Dist(P, Q: Point) -> Univ_Real is return Norm(P - Q) end func Dist end class Point ================================================ FILE: perl/kmeans.pl ================================================ #!/usr/bin/env perl use warnings; use strict; use 5.20.0; use JSON; use List::Util qw(reduce); open my $POINTS, '<', '../points.json' or die $!; my $json = from_json(join('', <$POINTS>)); my @points = map { [$_->[0], $_->[1]] } @{$json}; my $iterations = 100; my $start = time; for my $i (0 .. $iterations - 1) { run(\@points, 10); } my $total = (time - $start) * 1000 / $iterations; say "Made $iterations iterations with an average of $total milliseconds"; sub run { my ($xs, $n, $iters) = @_; $iters //= 15; my $centroids = [@{$xs}[0 .. $n-1]]; for my $i (0 .. $iters - 1) { $centroids = update_centroids($xs, $centroids); } return groupby($xs, $centroids); } sub update_centroids { my ($points, $centroids) = @_; my $groups = groupby($points, $centroids); my @res = (); for my $g (values %{$groups}) { my $len = scalar @{$g}; my $psum = reduce { [$a->[0] + $b->[0], $a->[1] + $b->[1]] } [0,0], @{$g}; $psum->[0] /= $len; $psum->[1] /= $len; push @res, $psum; } return \@res; } sub groupby { my ($points, $centroids) = @_; my %g = (); for my $p (@{$points}) { my $c = closest($p, $centroids); push @{$g{$c}}, $p; } return \%g; } sub dist { return sqrt(($_[0]->[0] - $_[1]->[0])**2 + ($_[0]->[1] - $_[1]->[1])**2); } sub closest { my $point = shift; my $min = 9999999999999999; my $min_centroid = []; for my $c (@{$_[0]}) { my $dist = dist($point, $c); if ($dist < $min) { $min = $dist; $min_centroid = $c; } } return $min_centroid; } ================================================ FILE: pharo3/KMeans.st ================================================ Object subclass: #KMeans instanceVariableNames: 'iterations clusters' classVariableNames: '' poolDictionaries: '' category: 'KMeans'! !KMeans commentStamp: 'RoelWuyts 3/31/2016 09:37' prior: 0! I implement an idiomatic version of the kmeans algorithm in order to compare to implementations in other languages - see https://github.com/andreaferretti/kmeans . To use me: - download Pharo and launch an image. - put the points.json in the same directory than the image. - type "KMeans benchmark: 100" (in the Playground or anywhere else), - select the text and 'Print it' in the contextual menu. - wait...! !KMeans methodsFor: 'algorithm' stamp: 'AndreaFerretti 10/8/2014 18:57'! run: points | centroids | centroids := points first: clusters. iterations timesRepeat: [ centroids := (self cluster: points around: centroids) collect: [ :each | each average ] ]. ^ self cluster: points around: centroids! ! !KMeans methodsFor: 'algorithm' stamp: 'RoelWuyts 3/1/2016 09:51'! cluster: points around: centroids ^ (points groupedBy: [ :p | p closestFrom: centroids ]) values! ! !KMeans methodsFor: 'algorithm' stamp: 'AndreaFerretti 10/8/2014 19:01'! run: points times: times times timesRepeat: [ self run: points ].! ! !KMeans methodsFor: 'benchmarks' stamp: 'AndreaFerretti 10/8/2014 19:03'! benchmark: points repeating: repetitions | time | time := Time millisecondsToRun: [ self run: points times: repetitions ]. ^ time / repetitions.! ! !KMeans methodsFor: 'initialization' stamp: 'RoelWuyts 2/29/2016 17:07'! clusters: numClusters iterations: numIterations iterations := numIterations. clusters := numClusters! ! "-- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- -- "! KMeans class instanceVariableNames: ''! !KMeans class methodsFor: 'benchmarks' stamp: 'RoelWuyts 3/31/2016 09:24'! benchmark: repetitions pointsFilename: pointsFilename "self benchmark: 100 pointsFilename: 'points.json' " | fileref str points | fileref := pointsFilename asFileReference. str := FileStream readOnlyFileNamed: fileref. points := (MCFileTreeJsonParser parseStream: str) collect: [:arr | Point x: arr first y: arr second ]. ^(self clusters: 10 iterations: 15) benchmark: points repeating: repetitions! ! !KMeans class methodsFor: 'benchmarks' stamp: 'RoelWuyts 3/31/2016 09:25'! benchmark: repetitions "self benchmark: 100" ^self benchmark: repetitions pointsFilename: self pointsFilename ! ! !KMeans class methodsFor: 'benchmarks' stamp: 'RoelWuyts 3/31/2016 09:23'! pointsFilename "The name and location of the file that contains the points used for the benchmarking." "By default it is assumed to be next to your Pharo image." ^'points.json'! ! !KMeans class methodsFor: 'instance creation' stamp: 'RoelWuyts 2/29/2016 17:09'! clusters: numClusters iterations: numIterations ^self new clusters: numClusters iterations: numIterations! ! 'From Pharo4.0 of 18 March 2013 [Latest update: #40626] on 31 March 2016 at 9:37:42.371164 am'! !Point methodsFor: '*KMeans' stamp: 'RoelWuyts 3/1/2016 09:57'! closestFrom: points ^ points detectMin: [:p | self dist: p ]! ! ================================================ FILE: points.json ================================================ 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================================================ FILE: pony/.gitignore ================================================ bin ================================================ FILE: pony/Makefile ================================================ default: all clean: rm -rf bin all: ponyc kmeans -o bin run: ./bin/kmeans ================================================ FILE: pony/kmeans/main.pony ================================================ use "collections" use "time" use "files" use "json" type Point is (F64, F64) actor Main let n : USize = 10 let iters : USize = 15 let iterations : USize = 100 let env : Env var before : U64 = 0 let points : Array[Point] = Array[Point](65536) var centroids : Array[Point] = Array[Point](n) new create(env': Env) => env = env' readPointsFromJsonFile() before = Time.millis() for it in Range(0, iterations) do run() end done() fun ref readPointsFromJsonFile() => try let f = File.open(FilePath(env.root, "../points.json")) var fileString = "" for line in f.lines() do fileString = fileString + line end let doc : JsonDoc = JsonDoc doc.parse(fileString) for el in (doc.data as JsonArray).data.values() do let x = ((el as JsonArray).data(0) as F64) let y = ((el as JsonArray).data(1) as F64) points.push((x, y)) end end be run() => points.copy_to(centroids, 0, 0, n) for it in Range(0, iters) do cluster() end fun printCentroids() => for c in centroids.values() do env.out.print("(x: " + c._1.string() + ", y: " + c._2.string() + ")") end be done() => let t = (Time.millis() - before) / iterations.u64() printCentroids() env.out.print("Average time is " + t.string() + " ms.") fun ref cluster() => try let hm: MapIs[Point, Array[Point]] = hm.create(n) for ix in Range(0, n) do hm(centroids(ix)) = Array[Point](2048) end for p in points.values() do hm(closestCentroid(p)).push(p) end for ix in Range(0, n) do centroids.update(ix, average(hm(centroids(ix)))) end end fun ref closestCentroid(x: Point): Point => var min_pt : Point = (0, 0) var min_dist = F64.max_value() try for it in Range(0, n) do let pt = centroids(it) let distance = dist(pt, x) if distance < min_dist then min_dist = distance min_pt = pt end end end min_pt fun dist(p1: Point, p2: Point): F64 => let x = p1._1 - p2._1 let y = p1._2 - p2._2 ((x * x) + (y * y)).sqrt() fun average(pts: Array[Point]): Point => var x : F64 = 0 var y : F64 = 0 for p in pts.values() do x = x + p._1 y = y + p._2 end let nrOfPoints = pts.size().f64() (x / nrOfPoints, y / nrOfPoints) ================================================ FILE: python/kmeans.py ================================================ from collections import defaultdict from math import sqrt from time import time import json class Point(object): x = None y = None def __init__(self, x,y): self.x = x self.y = y def x(self): return self.x def y(self): return self.y def __add__(self,other): return Point(self.x + other.x, self.y + other.y) def __div__(self,value): return Point(self.x/float(value),self.y/float(value)) def dist(self,other): return sqrt((self.x - other.x)**2 + (self.y - other.y)**2) def closest(self,points): return min(points,key=self.dist) def __repr__(self): return "(%f,%f)" % (self.x,self.y) def update_centroids(points,centroids): groups = groupby(points,centroids) res = [] for g in groups.values(): res.append(sum(g, Point(0,0))/len(g)) return res def groupby(points,centroids): g = defaultdict(list) for p in points: c = p.closest(centroids) g[c].append(p) return g def run(xs, n, iters=15): centroids = xs[:n] for i in xrange(iters): centroids = update_centroids(xs,centroids) return groupby(xs,centroids) if __name__ == "__main__": with open("../points.json") as f: points = map(lambda x: Point(x[0],x[1]),json.loads(f.read())) iterations = 100 start = time() for i in xrange(iterations): run(points, 10) total = (time() - start) * 1000 / iterations print("Made {:d} iterations with an average of {:.2f} milliseconds".format(iterations, total)) ================================================ FILE: results ================================================ setup ===== single thread 100000 points 10 clusters 15 iterations average over 100 repetitions machine info ============ All tests have been run on my Sony Vaio Z laptop with the following spec: cpu: * Processor name : Intel(R) Core(TM) i7-2620M * Packages(sockets) : 1 * Cores : 2 * Processors(CPUs) : 4 * Cores per package : 2 * Threads per core : 2 memory: 8 GB OS: Ubuntu 14.10 results ======= nim (0.13.1) 148 ms crystal (0.21.1) 167ms java (1.7.0_76) 183 ms kotlin (1.1-M01) 183 ms c++ (g++ 4.9.2) 187 ms rust (1.13.0) 196 ms common lisp (sbcl 1.1.14) 204 ms c (gcc 4.8.2) 218 ms pony (0.2.1-531-g2cf6b89) 228 ms julia (0.4.0-dev+3052) 266 ms scala (2.11.7) 435 ms pypy (2.5.0) 563 ms java8 (1.8.0_31) 565 ms luajit (2.0.2) 611 ms ocaml (4.02.1) 796 ms go (1.6.2) 971 ms x10-c++ (2.5.2) 1436 ms haskell (ghc 7.8.4) 1663 ms * pharo (5) 2402 ms x10-java (2.5.2) 2720 ms factor (0.97) 2895 ms clojure (1.7.0) 3511 ms node (5.3.0) 3871 ms elixir (1.0.3) 3949 ms stanza (0.9.6) 4319 ms erlang (R17) 4536 ms scala-js (0.6.13 on Node 5.3.0) 4945 ms io.js (1.4.3) 5241 ms d (2.066.1) 5403 ms lua (5.2.3) 6946 ms ocaml bytecode (4.02.1) 8021 ms python (2.7.6) 10632 ms swift (2.2-dev) 11391 ms perl (5.20.2) 15680 ms rubinius (2.5.2) 20878 ms ruby (1.9.3p484) 24819 ms * I am not able to run this 100 times without the runtime caching the result. Any help is appreciated. other implementations ===================== The following results are not really comparable, because they avoid contructing a hashmap, or run on multiple threads, or both. it is expected that they run faster, so they are reported here for completeness. cuda (7.5) 4 ms * opencl (1.2 on CUDA 7.5) 5 ms * nim optimized (0.10.3) 68 ms ** openmp (4 threads) 84ms openmp (2 threads) 88ms openmp (1 thread) 151ms chapel (1.10) 1564 ms *** scala-native (0.1-SNAPSHOT) 5016 ms **** * CUDA: using a GPU Nvidia GeForce GTX TITAN X with 3072 CUDA cores. ** single-threaded; avoids the square root in the distance and accumulates the sum of points near a centroid, rather than putting them into a data structure. It is more of a baseline than a fair comparison *** Chapel runs by default on two cores, I am not sure how to benchmark a single-thread version. **** Scala native does not have hashmaps yet expected result =============== To check that an implementation is correct, one can print the list of centroids just before the last iteration. The expected list (checked across all languages) is: (1.0084564757347625,2.2868123889219047) (1.5309869001400929,0.7852174204702566) (1.6894738051930507,1.7278381134195009) (2.47790984305693,1.945630722483613) (2.316742530156974,2.8586899252009443) (1.4688362327217774,0.2078953628686833) (2.2019938378105004,1.3767916116287988) (0.8322035175020596,1.6266582764165047) (2.035067805355936,0.36068184317747537) (1.918441639829494,2.2623855839482294) ================================================ FILE: ruby/kmeans.rb ================================================ require 'json' class Point attr_accessor :x attr_accessor :y def initialize(x, y) @x = x @y = y end def +(other) Point.new @x + other.x, @y + other.y end def /(value) Point.new @x / value.to_f, @y / value.to_f end def dist(other) Math.sqrt((@x - other.x) ** 2 + (@y - other.y) ** 2) end def closest(points) points.min { |a, b| self.dist(a) <=> self.dist(b) } end def inspect '(%.6f,%.6f)' % [@x, @y] end end def update_centroids(points, centroids) groups = groupby(points, centroids) res = [] groups.each { |k, v| res << v.inject(Point.new(0,0), :+) / v.length } res end def groupby(points, centroids) g = Hash.new {|h,k| h[k]=[]} points.each { |pp| c = pp.closest(centroids) g[c] << pp } g end def run(xs, n, iters=15) centroids = xs.take(n) (1..iters).each { centroids = update_centroids(xs, centroids) } groupby(xs, centroids) end points = JSON.parse(open("../points.json").read).map { |p| Point.new p[0], p[1] } iterations = 100 start = Time.now (1..iterations).each { run(points, 10) } total = (Time.now - start) * 1000 / iterations puts 'Made % iterations with an average of %.6f milliseconds' % [iterations, total] ================================================ FILE: rust/.gitignore ================================================ Cargo.lock ================================================ FILE: rust/Cargo.toml ================================================ [package] name = "kmeans" version = "0.1.2" authors = [ "Andrea Ferretti " ] [lib] name = "kmeans" path = "src/lib.rs" [[bin]] name = "kmeans_bin" path = "src/main.rs" [dependencies] serde = "1.0.8" serde_derive = "1.0.8" serde_json = "1.0.2" time = "*" ================================================ FILE: rust/src/algo.rs ================================================ use std::collections::HashMap; use std::collections::hash_map::Entry::{Occupied, Vacant}; use point::Point; fn dist(v: Point, w: Point) -> f64 { (v - w).norm() } fn avg(points: &[Point]) -> Point { let Point(x, y) = points.iter().fold(Point(0.0, 0.0), |p, &q| p + q); let k = points.len() as f64; Point(x / k, y / k) } fn closest(x: Point, ys: &[Point]) -> Point { let y0 = ys[0]; let d0 = dist(y0, x); let (_, y) = ys.iter() .fold((d0, y0), |(m, p), &q| { let d = dist(q, x); if d < m { (d, q) } else { (m, p) } }); y } fn clusters(xs: &[Point], centroids: &[Point]) -> Vec> { let mut groups: HashMap> = HashMap::new(); for x in xs.iter() { let y = closest(*x, centroids); // Notable change: avoid double hash lookups match groups.entry(y) { Occupied(entry) => entry.into_mut().push(*x), Vacant(entry) => { entry.insert(vec![*x]); () } } } groups .into_iter() .map(|(_, v)| v) .collect::>>() } pub fn run(points: &[Point], n: u32, iters: u32) -> Vec> { let mut centroids: Vec = points.iter().take(n as usize).cloned().collect(); for _ in 0..iters { centroids = clusters(points, ¢roids) .iter() .map(|g| avg(&g)) .collect(); } clusters(points, ¢roids) } ================================================ FILE: rust/src/lib.rs ================================================ #[macro_use] extern crate serde_derive; pub mod point; pub mod algo; ================================================ FILE: rust/src/main.rs ================================================ extern crate time; extern crate kmeans; extern crate serde; extern crate serde_json; use std::path::Path; use std::fs::File; use std::io::Read; use time::now; use kmeans::point::Point; use kmeans::algo::run; fn benchmark(points: &[Point], times: i32) -> f64 { let start = now().to_timespec(); for _ in 0..times { run(points, 10, 15); } let end = now().to_timespec(); ((end - start).num_milliseconds() as f64) / (times as f64) } fn main() { let mut file = File::open(&Path::new("../points.json")).unwrap(); let mut buffer: Vec = vec![]; let _ = file.read_to_end(&mut buffer).unwrap(); let filestr = String::from_utf8(buffer).unwrap(); let points: Vec = serde_json::from_str(&filestr).unwrap(); let iterations = 100; println!("The average time is {}", benchmark(&points, iterations)); } ================================================ FILE: rust/src/point.rs ================================================ extern crate serde; extern crate serde_json; use std::hash::{Hash, Hasher}; use std::mem; use std::ops::{Add, Sub}; #[derive(Deserialize, Debug, PartialEq, PartialOrd, Copy, Clone)] pub struct Point(pub f64, pub f64); fn sq(x: f64) -> f64 { x * x } impl Point { pub fn norm(self: &Point) -> f64 { (sq(self.0) + sq(self.1)).sqrt() } } impl Hash for Point { fn hash(&self, state: &mut H) { // Perform a bitwise transform, relying on the fact that we // are never Infinity or NaN let Point(x, y) = *self; let x: u64 = unsafe { mem::transmute(x) }; let y: u64 = unsafe { mem::transmute(y) }; x.hash(state); y.hash(state); } } impl Add for Point { type Output = Point; fn add(self, other: Point) -> Point { Point(self.0 + other.0, self.1 + other.1) } } impl Sub for Point { type Output = Point; fn sub(self, other: Point) -> Point { Point(self.0 - other.0, self.1 - other.1) } } impl Eq for Point {} // impl rustc_serialize::Decodable for Point { // fn decode(d: &mut D) -> Result { // d.read_tuple(2, |d| { // d.read_tuple_arg(0, |d| d.read_f64()).and_then(|e1| { // d.read_tuple_arg(1, |d| d.read_f64()).map(|e2| { // Point(e1, e2) // }) // }) // }) // } // } ================================================ FILE: scala/build.sbt ================================================ name := "kmeans" organization := "unicredit" version := "0.1-SNAPSHOT" scalaVersion := "2.11.7" scalacOptions ++= Seq("-deprecation", "-feature", "-language:postfixOps", "-language:implicitConversions") resolvers ++= Seq() libraryDependencies ++= Seq( "org.json4s" %% "json4s-jackson" % "3.2.11" ) ================================================ FILE: scala/src/main/scala/kmeans/Algo.scala ================================================ package kmeans import math.sqrt object Algo { val n = 10 val iters = 15 class Point(val x: Double, val y: Double) { def /(k: Double): Point = new Point(x / k, y / k) def +(p: Point) = new Point(x + p.x, y + p.y) def -(p: Point) = new Point(x - p.x, y - p.y) def modulus = sqrt(sq(x) + sq(y)) } def run(xs: List[Point]) = { var centroids = xs take n for (i <- 1 to iters) { centroids = clusters(xs, centroids) map average } clusters(xs, centroids) } def clusters(xs: List[Point], centroids: List[Point]) = (xs groupBy { x => closest(x, centroids) }).values.toList def closest(x: Point, choices: List[Point]) = choices minBy { y => dist(x, y) } def sq(x: Double) = x * x def dist(x: Point, y: Point) = (x - y).modulus def average(xs: List[Point]) = xs.reduce(_ + _) / xs.size } ================================================ FILE: scala/src/main/scala/kmeans/Main.scala ================================================ package kmeans import scala.io.Source import org.json4s._ import org.json4s.jackson.JsonMethods._ object Main extends App { def readPoints(path: String) = { val json = Source.fromFile(path).mkString implicit val formats = DefaultFormats parse(json).extract[List[List[Double]]] map { case List(a, b) => new Algo.Point(a, b) } } val iterations = 100 val points = readPoints("../points.json") val start = System.currentTimeMillis for (i <- 1 to iterations) { Algo.run(points) } val time = (System.currentTimeMillis - start) / iterations println(s"Made $iterations iterations with an average of $time milliseconds") } ================================================ FILE: scala-js/.gitignore ================================================ target project/target ================================================ FILE: scala-js/build.sbt ================================================ enablePlugins(ScalaJSPlugin) name := "kmeans" organization := "unicredit" version := "0.1-SNAPSHOT" scalaVersion := "2.11.8" scalacOptions ++= Seq("-deprecation", "-feature", "-language:postfixOps", "-language:implicitConversions") scalaJSOutputWrapper := ("global.require = require;", "") scalaJSUseRhino in Global := false persistLauncher in Compile := true ================================================ FILE: scala-js/project/build.properties ================================================ sbt.version=0.13.11 ================================================ FILE: scala-js/project/plugins.sbt ================================================ addSbtPlugin("org.scala-js" % "sbt-scalajs" % "0.6.13") ================================================ FILE: scala-js/src/main/scala/kmeans/Algo.scala ================================================ package kmeans import math.sqrt object Algo { val n = 10 val iters = 15 class Point(val x: Double, val y: Double) { def /(k: Double): Point = new Point(x / k, y / k) def +(p: Point) = new Point(x + p.x, y + p.y) def -(p: Point) = new Point(x - p.x, y - p.y) def modulus = sqrt(sq(x) + sq(y)) } def run(xs: List[Point]) = { var centroids = xs take n for (i <- 1 to iters) { centroids = clusters(xs, centroids) map average } clusters(xs, centroids) } def clusters(xs: List[Point], centroids: List[Point]) = (xs groupBy { x => closest(x, centroids) }).values.toList def closest(x: Point, choices: List[Point]) = choices minBy { y => dist(x, y) } def sq(x: Double) = x * x def dist(x: Point, y: Point) = (x - y).modulus def average(xs: List[Point]) = xs.reduce(_ + _) / xs.size } ================================================ FILE: scala-js/src/main/scala/kmeans/Main.scala ================================================ package kmeans import scala.io.Source import scala.scalajs.js object Main extends js.JSApp { def readPoints(path: String)(run: List[Algo.Point] => Unit) = { val fs = js.Dynamic.global.require("fs") fs.readFile(path, "utf8", (err: js.Dynamic,data: js.Dynamic) => { val arr = js.JSON.parse(data.toString).asInstanceOf[js.Array[js.Array[Double]]] run( arr.map(p => new Algo.Point(p(0).toDouble, p(1).toDouble) ).toList ) }) } def main() = { val iterations = 100 readPoints("../../../points.json"){ points => val start = System.currentTimeMillis for (i <- 1 to iterations) { Algo.run(points) } val time = (System.currentTimeMillis - start) / iterations println(s"Made $iterations iterations with an average of $time milliseconds") } } } ================================================ FILE: scala-native/build.sbt ================================================ enablePlugins(ScalaNativePlugin) name := "kmeans" scalaVersion := "2.11.8" ================================================ FILE: scala-native/project/build.properties ================================================ sbt.version=0.13.11 ================================================ FILE: scala-native/project/plugins.sbt ================================================ resolvers += Resolver.sonatypeRepo("snapshots") addSbtPlugin("org.scala-native" % "sbtplugin" % "0.1-SNAPSHOT") ================================================ FILE: scala-native/src/main/scala/kmeans/Algo.scala ================================================ package kmeans import java.lang.Math.sqrt object Algo { val n = 10 val iters = 15 class Point(val x: Double, val y: Double) { def /(k: Double): Point = new Point(x / k, y / k) def +(p: Point) = new Point(x + p.x, y + p.y) def -(p: Point) = new Point(x - p.x, y - p.y) def modulus = sqrt(sq(x) + sq(y)) } def run(xs: List[Point]) = { var centroids = xs take n var _iters = iters while (_iters > 0) { centroids = clusters(xs, centroids) map average _iters -= 1 } /* import scalanative.native._, stdlib._, stdio._ var i = 0 while (i < n) { fprintf(stdout, c"Centroid [x : %lf, y: %lf]\n", centroids(i).x, centroids(i).y) i+=1 } */ clusters(xs, centroids) } def clusters(xs: List[Point], centroids: List[Point]) = { val ps = xs map ( x => (closest(x, centroids), x) ) centroids.map(c => ps.filter(_._1 == c).map(_._2) ) } def closest(x: Point, choices: List[Point]) = choices minBy { y => dist(x, y) } def sq(x: Double) = x * x def dist(x: Point, y: Point) = (x - y).modulus def average(xs: List[Point]) = xs.reduce(_ + _) / xs.size } ================================================ FILE: scala-native/src/main/scala/kmeans/Main.scala ================================================ package kmeans import scalanative.native._, stdlib._, stdio._ import Jansson._ import SysTime._ import Algo.Point object Main { def main(args: Array[String]): Unit = { val error = malloc(512).cast[Ptr[json_error_t]] val json = json_load_file(c"../points.json", 0, error) if ((!json).typ != 1) { fprintf(stdout, c"Error parsing Json file") return } val xs = new Array[Point](100000) var i = 0 while (i < 100000) { val value = json_array_get(json, i) val x = json_number_value(json_array_get(value,0)) val y = json_number_value(json_array_get(value,1)) xs(i) = new Point(x, y) i+=1 } val before = malloc(sizeof[timeval]).cast[Ptr[timeval]] val after = malloc(sizeof[timeval]).cast[Ptr[timeval]] gettimeofday(before, null) val iterations = 100 i = 0 while (i < iterations) { Algo.run(xs.toList) i+=1 } gettimeofday(after, null) val res = ((((!after).tv_sec - (!before).tv_sec) * 1000) + (((!after).tv_usec - (!before).tv_usec) / 1000)) / iterations fprintf(stdout, c"Average time is %d ms\n", res) } } ================================================ FILE: scala-native/src/main/scala/kmeans/native.scala ================================================ package kmeans import scalanative.native._ @link("jansson") @extern object Jansson { // in C enums become ints at runtime type json_type = Int @struct class json_t( val typ: json_type = 0, val refcount: CInt = 0 ) @struct class json_error_t( val line: CInt = 0, val column: CInt = 0, val position: CInt = 0 // can't express source field due to #35 // can't express test field due to #35 ) def json_load_file(path: Ptr[Byte], flags: CSize, error: Ptr[json_error_t]): Ptr[json_t] = extern def json_array_get(array: Ptr[json_t], index: CInt): Ptr[json_t] = extern def json_number_value(json: Ptr[json_t]): CDouble = extern } @name("sys/time") @extern object SysTime { @struct class timeval( val tv_sec: CLong = 0L, val tv_usec: CLong = 0L ) def gettimeofday(tp: Ptr[timeval], tzp: Ptr[_]): CInt = extern } ================================================ FILE: stanza/compile.sh ================================================ stanza kmeans.stanza -ccfiles kmeansutils.c -ccflags -ljansson -o kmeans -optimize ================================================ FILE: stanza/kmeans.stanza ================================================ defpackage kmeans : import core import math import collections defstruct Point <: Hashable & Equalable : x: Double y: Double defmethod equal? (p1:Point, p2:Point) : x(p1) == x(p2) and y(p1) == y(p2) defmethod hash (p:Point) -> Int : hash(bits(x(p)) ^ (bits(y(p)) << 1L)) defmethod print (o:OutputStream, p:Point) : print(o, "Point(%_, %_)" % [x(p), y(p)]) defn plus (p1:Point, p2:Point) -> Point : Point(x(p1) + x(p2), y(p1) + y(p2)) defn minus (p1:Point, p2:Point) -> Point : Point(x(p1) - x(p2), y(p1) - y(p2)) defn div (p:Point, d:Double) -> Point : Point(x(p) / d, y(p) / d) defn sq (d:Double) -> Double : d * d defn modulus (p:Point) -> Double : sqrt(sq(x(p)) + sq(y(p))) defn dist (p1:Point, p2:Point) -> Double : modulus(p1 - p2) defn average (xs: Vector) -> Point : var temp = Point(0.0, 0.0) for x in xs do : temp = temp + x div(temp, to-double(length(xs))) defn closest (p: Point, xs: Array) -> Point : var tmp: Point = xs[0] var min: Double = dist(p, xs[0]) for i in 0 to length(xs) do : val thisDist: Double = dist(p, xs[i]) if thisDist < min : min = thisDist tmp = xs[i] tmp defn clusters (xs: Array, centroids: Array) -> Array> : val hm: HashTable> = HashTable>() for c in centroids do : hm[c] = Vector() for x in xs do : add(hm[closest(x, centroids)], x) val res: Array> = Array>(length(centroids)) for i in 0 to length(centroids) do : res[i] = hm[centroids[i]] res val n = 10 val iters = 15 defn run (xs: Array) -> Array> : var centroids: Array = Array(n) for i in 0 to n do : centroids[i] = xs[i] var cluster: Array> for _ in 0 to iters do : cluster = clusters(xs, centroids) for i in 0 to n do : centroids[i] = average(cluster[i]) ;println("Centroids:") ;for c in centroids do : ; println(" %_ " % [c]) cluster extern getTime: () -> long lostanza defn call-getTime () -> ref : val result = call-c getTime() return new Long{result} extern loadFile: () -> int lostanza defn call-loadFile () -> ref : call-c loadFile() return false extern xValueAt: int -> double lostanza defn call-xValueAt (i: ref) -> ref : val result = call-c xValueAt(i.value) return new Double{result} extern yValueAt: int -> double lostanza defn call-yValueAt (i: ref) -> ref : val result = call-c yValueAt(i.value) return new Double{result} val xs: Array = Array(100000) call-loadFile() for i in 0 to 100000 do : xs[i] = Point(call-xValueAt(i), call-yValueAt(i)) val iterations = 100 val before = call-getTime() for _ in 0 to iterations do : run(xs) val after = call-getTime() println("Average time is %_" % [(after - before) / to-long(iterations)]) ================================================ FILE: stanza/kmeansutils.c ================================================ #include #include #include #include #include long int getTime() { struct timeval tval; gettimeofday(&tval, NULL); long int ms = ((long int)tval.tv_sec*1000) + ((long int)tval.tv_usec/1000); return ms; } static json_t *json; int loadFile() { json_error_t error; json = json_load_file("../points.json", 0, &error); if(!json) { printf("Error parsing Json file"); fflush(stdout); return -1; } return 0; } double xValueAt(int i) { json_t *value = json_array_get(json, i); value = json_array_get(value, 0); return json_number_value(value); } double yValueAt(int i) { json_t *value = json_array_get(json, i); value = json_array_get(value, 1); return json_number_value(value); } ================================================ FILE: swift/.gitignore ================================================ main ================================================ FILE: swift/kmeans.swift ================================================ #if os(Linux) import Glibc #else import Darwin #endif struct Point : Equatable { let x: Double let y: Double func modulus() -> Double { return sqrt(sq(self.x) + sq(self.y)) } } extension Point: Hashable { var hashValue: Int { return x.hashValue ^ (y.hashValue << 1) } } func ==(x: Point, y: Point) -> Bool { return (x.x == y.x && x.y == y.y) } func +(left: Point, right: Point) -> Point { return Point(x: left.x + right.x, y: left.y + right.y) } func -(left: Point, right: Point) -> Point { return Point(x: left.x - right.x, y: left.y - right.y) } func /(left: Point, right: Double) -> Point { return Point(x: left.x / right, y: left.y / right) } func sq(x: Double) -> Double { return x*x } func dist(p1: Point, p2: Point) -> Double { return ((p1 - p2).modulus()) } func average(xs: [Point]) -> Point { return xs.reduce(Point(x: 0, y: 0), combine: +) / Double(xs.count) } func closest(x: Point, choices: [Point]) -> Point { func comp(px: (point: Point, distance: Double), py: (point: Point, distance: Double)) -> (point: Point, distance: Double) { if (px.distance < py.distance) { return px } else { return py } } let minp = choices.map( {(point: $0, distance: (dist($0, p2: x)))}).reduce( (point: Point(x: 0, y: 0), distance: Double.infinity), combine: comp) return minp.point } func clusters(xs: [Point], centroids: [Point]) -> [[Point]] { var dict = [Point: [Point]]() for p in xs { let close = closest(p, choices: centroids) dict[close]?.append(p) ?? {dict[close] = [p]}() } return [[Point]](dict.values) } func run(xs: [Point], n: Int, iters: Int) -> [[Point]] { var centroids = [Point](xs[0..>) let xs = points.map({(elem) -> Point in let arr = elem as! Array> let xValue = arr[0] as! Double let yValue = arr[1] as! Double return Point(x: xValue, y: yValue) }) let iterations = 100 let start = NSDate() for _ in 0..p1+p2, new RichPoint(0,0))/xs.size(); static def closest(p: RichPoint, choices: ArrayList[RichPoint]): RichPoint { struct WPoint { val p : RichPoint; val dist :Double; val valid: Boolean; def this(p: RichPoint, dist: Double, valid: Boolean) { this.p =p; this.dist = dist; this.valid = valid; } } val dists = new Rail[WPoint](choices.size()); val pointDist = (x : RichPoint) => new WPoint(x,dist(x, p), true); RailUtils.map(choices.toRail(),dists, pointDist); val reduceTask = (wp1: WPoint, wp2: WPoint) => { if (!wp1.valid) return wp2; else if (!wp2.valid) return wp1; else { if (wp1.dist < wp2.dist) return wp1; else return wp2; } }; val unity = new WPoint(new RichPoint(0,0),0.0, false); return RailUtils.reduce(dists, reduceTask, unity).p; } static def clusters(xs: Array[RichPoint], centroids: ArrayList[RichPoint]): Rail[ArrayList[RichPoint]] { val hm = new HashMap[RichPoint, ArrayList[RichPoint]](centroids.size()); for (p in xs) { val key = closest(xs(p), centroids); val value = hm.getOrElse(key, new ArrayList[RichPoint]()); value.add(xs(p)); hm.put(key, value); } val dest = new Rail[ArrayList[RichPoint]](centroids.size()); RailUtils.map(centroids.toRail(), dest, (c: RichPoint) => hm.get(c)); return dest; } static val n = 10; static val iters = 15; static def run(xs: Array[RichPoint]) { val centroids = new ArrayList[RichPoint](n); for (i in 0..(n-1)) centroids(i) = xs(i); for (k in 1..(iters)) { val clus = clusters(xs, centroids); val clusIter = clus.iterator(); for (i in 0..(n-1)) { centroids(i) = average(clusIter.next()); } } /* Console.OUT.println("Centroids are:"); for (i in 0..(n-1)) { Console.OUT.println("Point("+centroids(i).x+" , "+centroids(i).y+")"); } */ return clusters(xs, centroids); } } ================================================ FILE: x10/Main.x10 ================================================ import x10.regionarray.Array; import x10.compiler.Native; public class Main { static val times = 100; public static def main(Rail[String]) { val xs = new Array[RichPoint](100000); /*Java json import val javaRead = new jsonRead(); javaRead.initialize(); for (i in 0..99999) xs(i) = new RichPoint(jsonRead.getNextX(), jsonRead.getNextY()); */ /* C json import CJson.initialize(); for (i in 0..99999) xs(i) = new RichPoint(CJson.getNextX(), CJson.getNextY()); */ val beforeTime = System.currentTimeMillis(); for (i in 1..times) KMeans.run(xs); val afterTime = System.currentTimeMillis(); Console.OUT.println("Elapsed time is "+((afterTime-beforeTime)/times)); } } ================================================ FILE: x10/Makefile ================================================ MAKEFLAGS = --no-print-directory TARGETS = \ #default: all clean: FORCE rm -f javabin/*.* rm -f cbin/*.* rm -f javalib/jsonRead.jar java: javac -cp javalib/jackson-core-2.5.1.jar jsonRead.java jar cf javalib/jsonRead.jar jsonRead.class rm jsonRead.class x10c -O -cp javalib/jackson-core-2.5.1.jar:javalib/jsonRead.jar -d javabin *.x10 runJava: x10 -cp javabin:javalib/jackson-core-2.5.1.jar:javalib/jsonRead.jar Main c: x10c++ -O -d cbin *.x10 -cxx-postarg -ljansson runC: ./cbin/a.out FORCE: ================================================ FILE: x10/RichPoint.x10 ================================================ public struct RichPoint { val x : Double; val y:Double; def this(x:Double, y:Double) { this.x = x; this.y = y; } operator this + (p2: RichPoint): RichPoint = new RichPoint(x+p2.x,y+p2.y); operator this - (p2: RichPoint): RichPoint = new RichPoint(x-p2.x,y-p2.y); operator this / (d: Double): RichPoint = new RichPoint(x/d,y/d); def modulus(): Double = Math.sqrt( KMeans.sq(x) + KMeans.sq(y)); } ================================================ FILE: x10/jsonRead.cc ================================================ #include #include #include double c_xs[100000]; double c_ys[100000]; int c_xs_counter = 0; int c_ys_counter = 0; void parse() { int i=0; json_t *json; json_error_t error; size_t index; long int temp = 0; json_t *value; json = json_load_file("../points.json", 0, &error); json_array_foreach(json, index, value) { double x = json_number_value(json_array_get(value,0)); double y = json_number_value(json_array_get(value,1)); c_xs[index] = x; c_ys[index] = y; }; } double nextX() { return c_xs[c_xs_counter++]; } double nextY() { return c_ys[c_ys_counter++]; } ================================================ FILE: x10/jsonRead.h ================================================ void parse(); double nextX(); double nextY(); ================================================ FILE: x10/jsonRead.java ================================================ public class jsonRead { static double[] java_xs = new double[100000]; static int java_xs_counter = 0; static double[] java_ys = new double[100000]; static int java_ys_counter = 0; public static void initialize() { try { com.fasterxml.jackson.core.JsonFactory factory = new com.fasterxml.jackson.core.JsonFactory(); com.fasterxml.jackson.core.JsonParser jp = factory.createJsonParser(new java.io.File("../points.json")); int i = 0; while (true) { com.fasterxml.jackson.core.JsonToken actual = jp.nextValue(); while (actual == com.fasterxml.jackson.core.JsonToken.START_ARRAY) { actual = jp.nextValue(); } try { double x = jp.getDoubleValue(); jp.nextToken(); double y = jp.getDoubleValue(); java_xs[i] = x; java_ys[i] = y; i++; } catch(Exception ex) { //ex.printStackTrace(); System.out.println("read "+i+" points"); break; } actual = jp.nextToken(); while (jp.nextToken() == com.fasterxml.jackson.core.JsonToken.END_ARRAY) { actual = jp.nextToken(); } } jp.close(); } catch (Exception err) { err.printStackTrace(); } } public static double getNextX() { return java_xs[java_xs_counter++]; } public static double getNextY() { return java_ys[java_ys_counter++]; } }