From c0ccb0eb8cc6bcfc4a5012e4cc7bcc047c698e66 Mon Sep 17 00:00:00 2001
From: Emile <hanemile@protonmail.com>
Date: Fri, 5 Apr 2019 17:27:57 +0200
Subject: simple POC considering all stars

---
 .idea/workspace.xml |  226 +++
 data/4000.csv       | 4000 +++++++++++++++++++++++++++++++++++++++++++++++++++
 main.go             |  189 +++
 viz/.viz.py.swp     |  Bin 0 -> 12288 bytes
 viz/runtime.png     |  Bin 0 -> 148376 bytes
 viz/viz.py          |   14 +
 6 files changed, 4429 insertions(+)
 create mode 100644 data/4000.csv
 create mode 100644 viz/.viz.py.swp
 create mode 100644 viz/runtime.png
 create mode 100755 viz/viz.py

diff --git a/.idea/workspace.xml b/.idea/workspace.xml
index 162f8ff..f964259 100644
--- a/.idea/workspace.xml
+++ b/.idea/workspace.xml
@@ -1,10 +1,102 @@
 <?xml version="1.0" encoding="UTF-8"?>
 <project version="4">
+  <component name="ChangeListManager">
+    <list default="true" id="9bd3ce3d-a37e-4e7e-bd13-ed040fcae42d" name="Default Changelist" comment="added some data">
+      <change afterPath="$PROJECT_DIR$/data/4000.csv" afterDir="false" />
+      <change afterPath="$PROJECT_DIR$/viz/.viz.py.swp" afterDir="false" />
+      <change afterPath="$PROJECT_DIR$/viz/runtime.png" afterDir="false" />
+      <change afterPath="$PROJECT_DIR$/viz/viz.py" afterDir="false" />
+      <change beforePath="$PROJECT_DIR$/.idea/workspace.xml" beforeDir="false" afterPath="$PROJECT_DIR$/.idea/workspace.xml" afterDir="false" />
+      <change beforePath="$PROJECT_DIR$/main.go" beforeDir="false" afterPath="$PROJECT_DIR$/main.go" afterDir="false" />
+    </list>
+    <option name="EXCLUDED_CONVERTED_TO_IGNORED" value="true" />
+    <option name="SHOW_DIALOG" value="false" />
+    <option name="HIGHLIGHT_CONFLICTS" value="true" />
+    <option name="HIGHLIGHT_NON_ACTIVE_CHANGELIST" value="false" />
+    <option name="LAST_RESOLUTION" value="IGNORE" />
+  </component>
+  <component name="FileEditorManager">
+    <splitter split-orientation="horizontal" split-proportion="0.53213215">
+      <split-first>
+        <leaf>
+          <file pinned="false" current-in-tab="true">
+            <entry file="file://$PROJECT_DIR$/main.go">
+              <provider selected="true" editor-type-id="text-editor">
+                <state relative-caret-position="195">
+                  <caret line="22" column="12" selection-start-line="22" selection-start-column="12" selection-end-line="22" selection-end-column="12" />
+                  <folding>
+                    <element signature="e#14#84#0" expanded="true" />
+                  </folding>
+                </state>
+              </provider>
+            </entry>
+          </file>
+        </leaf>
+      </split-first>
+      <split-second>
+        <leaf>
+          <file pinned="false" current-in-tab="true">
+            <entry file="file://$PROJECT_DIR$/main.go">
+              <provider selected="true" editor-type-id="text-editor">
+                <state relative-caret-position="365">
+                  <caret line="193" selection-start-line="193" selection-end-line="193" />
+                </state>
+              </provider>
+            </entry>
+          </file>
+        </leaf>
+      </split-second>
+    </splitter>
+  </component>
+  <component name="FileTemplateManagerImpl">
+    <option name="RECENT_TEMPLATES">
+      <list>
+        <option value="Go File" />
+      </list>
+    </option>
+  </component>
   <component name="GOROOT" path="/usr/lib/go-1.12" />
+  <component name="Git.Settings">
+    <option name="RECENT_GIT_ROOT_PATH" value="$PROJECT_DIR$" />
+  </component>
+  <component name="IdeDocumentHistory">
+    <option name="CHANGED_PATHS">
+      <list>
+        <option value="$PROJECT_DIR$/read_data.go" />
+        <option value="$PROJECT_DIR$/readData.go" />
+        <option value="$PROJECT_DIR$/structs/structs.go" />
+        <option value="$PROJECT_DIR$/main.go" />
+      </list>
+    </option>
+  </component>
   <component name="ProjectFrameBounds" extendedState="6">
     <option name="width" value="960" />
     <option name="height" value="1061" />
   </component>
+  <component name="ProjectView">
+    <navigator proportions="" version="1">
+      <foldersAlwaysOnTop value="true" />
+    </navigator>
+    <panes>
+      <pane id="ProjectPane">
+        <subPane>
+          <expand>
+            <path>
+              <item name="galaxy-sim-brute-force" type="b2602c69:ProjectViewProjectNode" />
+              <item name="galaxy-sim-brute-force" type="462c0819:PsiDirectoryNode" />
+            </path>
+            <path>
+              <item name="galaxy-sim-brute-force" type="b2602c69:ProjectViewProjectNode" />
+              <item name="galaxy-sim-brute-force" type="462c0819:PsiDirectoryNode" />
+              <item name="data" type="462c0819:PsiDirectoryNode" />
+            </path>
+          </expand>
+          <select />
+        </subPane>
+      </pane>
+      <pane id="Scope" />
+    </panes>
+  </component>
   <component name="PropertiesComponent">
     <property name="DefaultGoTemplateProperty" value="Go File" />
     <property name="GO_FMT" value="true" />
@@ -16,6 +108,140 @@
     <property name="last_opened_file_path" value="$PROJECT_DIR$" />
     <property name="nodejs_interpreter_path.stuck_in_default_project" value="undefined stuck path" />
     <property name="nodejs_npm_path_reset_for_default_project" value="true" />
+    <property name="nodejs_package_manager_path" value="npm" />
     <property name="settings.editor.selected.configurable" value="preferences.pluginManager" />
   </component>
+  <component name="RunDashboard">
+    <option name="ruleStates">
+      <list>
+        <RuleState>
+          <option name="name" value="ConfigurationTypeDashboardGroupingRule" />
+        </RuleState>
+        <RuleState>
+          <option name="name" value="StatusDashboardGroupingRule" />
+        </RuleState>
+      </list>
+    </option>
+  </component>
+  <component name="RunManager" selected="Go Build.go build galaxy-sim-brute-force dir">
+    <configuration name="go build galaxy-sim-brute-force dir" type="GoApplicationRunConfiguration" factoryName="Go Application" temporary="true">
+      <module name="galaxy-sim-brute-force" />
+      <working_directory value="$PROJECT_DIR$/" />
+      <kind value="DIRECTORY" />
+      <filePath value="$PROJECT_DIR$/main.go" />
+      <package value="main" />
+      <directory value="$PROJECT_DIR$/" />
+      <method v="2" />
+    </configuration>
+    <configuration name="go build galaxy-sim-brute-force/" type="GoApplicationRunConfiguration" factoryName="Go Application" temporary="true" nameIsGenerated="true">
+      <module name="galaxy-sim-brute-force" />
+      <working_directory value="$PROJECT_DIR$/" />
+      <kind value="DIRECTORY" />
+      <filePath value="$PROJECT_DIR$/main.go" />
+      <directory value="$PROJECT_DIR$/" />
+      <method v="2" />
+    </configuration>
+    <configuration name="go build main.go" type="GoApplicationRunConfiguration" factoryName="Go Application" temporary="true" nameIsGenerated="true">
+      <module name="galaxy-sim-brute-force" />
+      <working_directory value="$PROJECT_DIR$/" />
+      <kind value="FILE" />
+      <filePath value="$PROJECT_DIR$/main.go" />
+      <directory value="$PROJECT_DIR$/" />
+      <method v="2" />
+    </configuration>
+    <list>
+      <item itemvalue="Go Build.go build galaxy-sim-brute-force dir" />
+      <item itemvalue="Go Build.go build main.go" />
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+      <list>
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+        <item itemvalue="Go Build.go build main.go" />
+        <item itemvalue="Go Build.go build galaxy-sim-brute-force/" />
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+    <todo-panel id="selected-file">
+      <is-autoscroll-to-source value="true" />
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+      <is-autoscroll-to-source value="true" />
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+      <window_info anchor="bottom" id="Docker" />
+      <window_info anchor="bottom" id="Database Changes" />
+      <window_info anchor="bottom" id="Version Control" />
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+      <window_info anchor="bottom" id="Terminal" weight="0.32916668" />
+      <window_info anchor="bottom" id="Event Log" side_tool="true" />
+      <window_info anchor="bottom" id="Message" order="0" />
+      <window_info anchor="bottom" id="Find" order="1" />
+      <window_info anchor="bottom" id="Run" order="2" visible="true" weight="0.43541667" />
+      <window_info anchor="bottom" id="Debug" order="3" weight="0.4" />
+      <window_info anchor="bottom" id="Cvs" order="4" weight="0.25" />
+      <window_info anchor="bottom" id="Inspection" order="5" weight="0.4" />
+      <window_info anchor="bottom" id="TODO" order="6" weight="0.32916668" />
+      <window_info anchor="right" id="Database" />
+      <window_info anchor="right" id="Commander" internal_type="SLIDING" order="0" type="SLIDING" weight="0.4" />
+      <window_info anchor="right" id="Ant Build" order="1" weight="0.25" />
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+  <component name="TypeScriptGeneratedFilesManager">
+    <option name="version" value="1" />
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+  <component name="VcsManagerConfiguration">
+    <MESSAGE value="simple hello world" />
+    <MESSAGE value="added essential files" />
+    <MESSAGE value="added some data" />
+    <option name="LAST_COMMIT_MESSAGE" value="added some data" />
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+  <component name="editorHistoryManager">
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 </project>
\ No newline at end of file
diff --git a/data/4000.csv b/data/4000.csv
new file mode 100644
index 0000000..d88ad63
--- /dev/null
+++ b/data/4000.csv
@@ -0,0 +1,4000 @@
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diff --git a/main.go b/main.go
index 7905807..e39e8e5 100644
--- a/main.go
+++ b/main.go
@@ -1,5 +1,194 @@
 package main
 
+import (
+	"encoding/csv"
+	"fmt"
+	"io"
+	"io/ioutil"
+	"log"
+	"math"
+	"strconv"
+	"strings"
+	"time"
+)
+
+var (
+	amountOfStars int
+)
+
 func main() {
+	var tests = []int64{
+		1000,
+		2000,
+		4000,
+		8000,
+		16000,
+		32000,
+		64000,
+		128000,
+	}
+	data := ReadData("data/200000.csv")
+
+	for _, element := range tests {
+		data = data[:element]
+		var processedStars []Star
+		var cores = 8
+		amountOfStars = len(data)
+		processedChannel := make(chan Star, 1)
+
+		var starsPerCore = amountOfStars / cores
+		overallStartTime := time.Now()
+
+		// start n threads processing stars
+		for i := 0; i < cores; i++ {
+			//fmt.Printf("Core %d processing #%d-#%d\n", i, i*starsPerCore, (i*starsPerCore)+(starsPerCore-1))
+
+			var begin = i * starsPerCore
+			var end = (i * starsPerCore) + (starsPerCore)
+
+			go ProcessStar(data, begin, end, processedChannel)
+		}
+
+		processedChannel <- Star{}
+
+		doneStartingThreads := time.Now()
+
+		// get the results through the processedChannel
+		for i := 0; i < amountOfStars+1; i++ {
+			newStar := <-processedChannel
+			processedStars = append(processedStars, newStar)
+		}
+
+		doneGettingResults := time.Now()
+
+		threadStartTime := doneStartingThreads.Sub(overallStartTime)
+		calculationTime := doneGettingResults.Sub(overallStartTime)
+
+		fmt.Printf("--------------------------------------------------------------------------------")
+		fmt.Printf("Amount of Stars: %d\n", amountOfStars)
+		fmt.Printf("Amount of Threads: %d\n", cores)
+		fmt.Printf("Amount of stars per thread: %d\n", starsPerCore)
+		fmt.Printf("Thread start time: %f sec.\n", threadStartTime.Seconds())
+		fmt.Printf("Calculation time: %f sec.\n", calculationTime.Seconds())
+		fmt.Printf("Calculation time per star: %f sec.\n", calculationTime.Seconds()/float64(amountOfStars))
+		fmt.Printf("Calculation per second: %f sec.\n", calculationTime.Seconds()/float64(amountOfStars))
+	}
+
+}
+
+type Star struct {
+	C, V Vec3
+	M    float64
+}
+
+type Vec3 struct {
+	X, Y, Z float64
+}
+
+func check(e error) {
+	if e != nil {
+		panic(e)
+	}
+}
+
+func ReadData(filepath string) []Star {
+	// open the .csv
+	dat, err := ioutil.ReadFile(filepath)
+	check(err)
+
+	// create a new csv reader
+	r := csv.NewReader(strings.NewReader(string(dat)))
+
+	var arrayOfStars []Star
+
+	for {
+		record, err := r.Read()
+		if err == io.EOF {
+			break
+		}
+		if err != nil {
+			log.Fatal(err)
+		}
+
+		// parse the values
+		x, parseErr := strconv.ParseFloat(record[0], 64)
+		y, parseErr := strconv.ParseFloat(record[0], 64)
+		z, parseErr := strconv.ParseFloat(record[0], 64)
+		check(parseErr)
+
+		// define a star
+		var localStar = Star{Vec3{x, y, z}, Vec3{0, 0, 0}, 2e30}
+
+		// append the star to the list of stars
+		arrayOfStars = append(arrayOfStars, localStar)
+	}
+
+	return arrayOfStars
+}
+
+// CalcForce calculates the force exerted on s1 by s2 and returns a vector representing that force
+func CalcForce(s1 Star, s2 Star) Vec3 {
+	G := 6.6726 * math.Pow(10, -11)
+
+	// calculate the force acting
+	var combinedMass = s1.M * s2.M
+	var distance = math.Sqrt(math.Pow(math.Abs(s1.C.X-s2.C.X), 2) + math.Pow(math.Abs(s1.C.Y-s2.C.Y), 2))
+
+	var scalar = G * ((combinedMass) / math.Pow(distance, 2))
+
+	// define a unit vector pointing from s1 to s2
+	var vector = Vec3{s2.C.X - s1.C.X, s2.C.Y - s1.C.Y, s2.C.Z - s1.C.Z}
+	var UnitVector = Vec3{vector.X / distance, vector.Y / distance, vector.Z / distance}
+
+	// multiply the vector with the force to get a vector representing the force acting
+	var force = UnitVector.Multiply(scalar)
+
+	// return the force exerted on s1 by s2
+	return force
+}
+
+// Multiply returns the product of the vector and a scalar s
+func (v *Vec3) Multiply(s float64) Vec3 {
+	return Vec3{v.X * s, v.Y * s, v.Z * s}
+}
+
+func ProcessStar(data []Star, begin int, end int, returnChannel chan Star) {
+
+	// iterate over the given range of data
+	for i := begin; i < end; i++ {
+		localStar := data[i]
+		var Force Vec3
+
+		// iterate over all the other stars
+		for index := range data {
+			if index != i {
+
+				// calculate the force acting on the star
+				force := CalcForce(localStar, data[index])
+
+				// add the force onto the overall force
+				Force.X += force.X
+				Force.Y += force.Y
+				Force.Z += force.Z
+			}
+		}
+
+		newStar := Star{
+			C: Vec3{
+				X: data[i].C.X,
+				Y: data[i].C.Y,
+				Z: data[i].C.Z,
+			},
+			V: Vec3{
+				X: Force.X / float64(amountOfStars),
+				Y: Force.Y / float64(amountOfStars),
+				Z: Force.Z / float64(amountOfStars),
+			},
+			M: data[i].M,
+		}
+
+		returnChannel <- newStar
+	}
 
+	return
 }
diff --git a/viz/.viz.py.swp b/viz/.viz.py.swp
new file mode 100644
index 0000000..e117cb2
Binary files /dev/null and b/viz/.viz.py.swp differ
diff --git a/viz/runtime.png b/viz/runtime.png
new file mode 100644
index 0000000..211d62e
Binary files /dev/null and b/viz/runtime.png differ
diff --git a/viz/viz.py b/viz/viz.py
new file mode 100755
index 0000000..073425c
--- /dev/null
+++ b/viz/viz.py
@@ -0,0 +1,14 @@
+#!/usr/bin/env python3
+
+import matplotlib.pyplot as plt
+import sys
+
+lista = [1000, 2000, 4000, 8000, 16000, 32000, 64000]
+listb = [0.037960, 0.175104, 0.697543, 2.845626, 11.427957, 46.602990, 183.332388]
+
+fig = plt.figure()
+plt.plot(lista, listb, "-o")
+plt.xlabel('Nr. of stars')
+plt.ylabel('Time needed to calculate all the forces acting (seconds)')
+#plt.show()
+plt.savefig(sys.argv[1], dpi=400)
-- 
cgit 1.4.1