6.1

Uebung 5/Uebung5_3/Makefile

@@ -0,0 +1,52 @@
+
+# Name of the binary for Development
+BINARY = main
+# Name of the binary for Release
+FINAL = prototyp
+# Object files
+OBJS   = backpack.o item.o main.o
+# Compiler flags
+CFLAGS = -Werror -Wall -std=c++17 -fsanitize=address,undefined -g
+# Linker flags
+LFLAGS = -fsanitize=address,undefined
+#Which Compiler to use
+COMPILER = c++
+
+
+# all target: builds all important targets
+all: binary
+
+final : ${OBJS}
+	${COMPILER} ${LFLAGS} -o ${FINAL} ${OBJS}
+	rm ${OBJS}
+
+binary : ${OBJS}
+	${COMPILER} ${LFLAGS} -o ${BINARY} ${OBJS}
+
+# Links the binary
+${BINARY} : ${OBJS}
+	${COMPILER} ${LFLAGS} -o ${BINARY} ${OBJS}
+
+
+# Compiles a source-file (any file with file extension .c) into an object-file
+#
+# "%" is a wildcard which matches every file-name (similar to * in regular expressions)
+# Such a rule is called a pattern rule (because it matches a pattern, see https://www.gnu.org/software/make/manual/html_node/Pattern-Rules.html),
+# which are a form of so called implicit rules (see https://www.gnu.org/software/make/manual/html_node/Implicit-Rules.html)
+# "$@" and "$<" are so called automatic variables (see https://www.gnu.org/software/make/manual/html_node/Automatic-Variables.html)
+%.o : %.cpp
+	${COMPILER} -c ${CFLAGS} -o $@ $<
+
+
+# Rules can not only be used for compiling a program but also for executing a program
+run: ${BINARY}
+	./${BINARY}
+
+
+# Delete all build artifacts
+clean :
+	rm -rf ${BINARY} ${OBJS}
+
+
+# all  and clean are a "phony" targets, meaning they are no files
+.PHONY : all clean

Uebung 5/Uebung5_3/backpack.cpp

@@ -0,0 +1,91 @@
+#include "backpack.h"
+#include <algorithm>
+#include <cmath>
+
+/*  Optimized insertion sort algorithm utilizing the Item's getRatio() function
+ */
+void Backpack::sortAvailableItems() {
+  int i = 0;
+  while (i < (int)this->availableItems.size()) {
+    Item x = this->availableItems[i];
+    int j = i - 1;
+    while (j >= 0 && this->availableItems[j].getRatio() < x.getRatio()) {
+      this->availableItems[j + 1] = this->availableItems[j];
+      j--;
+    }
+    this->availableItems[j + 1] = x;
+    i++;
+  }
+}
+
+/*  Iterates through all packed items and returns the total value   */
+int Backpack::getValuePacked() {
+  int total = 0;
+  for (int i = 0; i < (int)this->packedItems.size(); i++) {
+    total += this->packedItems[i].value;
+  }
+  return total;
+}
+
+/*  the algorithm to pack the backpack  */
+void Backpack::greedyPack(bool continuous) {
+  this->packedItems
+      .clear(); /*  resets the packedItems -> removes all elements! */
+  this->currentWeight = 0; /*  ...and also sets the current weight to 0.0  */
+
+  this->sortAvailableItems(); //  sort the available items first!
+  const char *text = "";
+  float partialValue = 0.0f;
+  float partialWeight = 0.0f;
+  if (!continuous) {
+    text = "non-";
+  }
+  std::cout << "Backpack has been packed " << text
+            << "continuously:\n";                                 //  output
+  std::cout << "\t\tWeight\tValue\n";                             //  output
+  std::cout << "---------------------------------------------\n"; //  output
+
+  for (int i = 0; i < (int)this->availableItems.size();
+       i++) { //  iterate through all available items
+    if (this->currentWeight + (float)this->availableItems[i].weight <=
+        this->maxWeight) { //  check if the item still fits in the backpack
+      this->packedItems.push_back(
+          this->availableItems[i]); //  and if so, put it in there (by adding it
+                                    //  to this->packedItems)
+      currentWeight +=
+          this->availableItems[i].weight; //  adjust currentWeight accordingly
+      std::cout << "\t" << this->availableItems[i].name << ":\t"
+                << this->availableItems[i].weight << "\t"
+                << this->availableItems[i].value
+                << "\t Factor: 1.00\n"; //  output
+    } else if (continuous) {
+      float factor = (float)(this->maxWeight - this->currentWeight) /
+                     this->availableItems[i].weight;
+      factor = std::round(factor * 100) / 100;
+      std::cout << "\t" << this->availableItems[i].name << ":\t"
+                << this->availableItems[i].weight << "\t"
+                << this->availableItems[i].value << "\t Factor: " << factor
+                << std::endl;
+      partialWeight = this->availableItems[i].weight * factor;
+      partialValue = this->availableItems[i].value * factor;
+      break;
+    }
+    if ((this->currentWeight - this->maxWeight) ==
+        0) { //  if the backpack is completely full, the loop can be exited -
+             //  small optimization
+      break;
+    }
+  }
+  std::cout << "---------------------------------------------\n"; //  output
+  std::cout << "\tTotal:\t" << this->currentWeight + partialWeight << "\t"
+            << this->getValuePacked() + partialValue << "\n"; //  output
+}
+
+void Backpack::printItems() {
+  for (int i = 0; i < (int)this->availableItems.size(); i++) {
+    std::cout << this->availableItems[i].name << "\t"
+              << this->availableItems[i].weight << "\t"
+              << this->availableItems[i].value << "\t"
+              << this->availableItems[i].getRatio() << "\n";
+  }
+}

Uebung 5/Uebung5_3/backpack.h

@@ -0,0 +1,31 @@
+#include <iostream>
+#include <string>
+#include <vector>
+
+#include "item.h"
+
+#pragma once
+
+/*  Class for Backpack, consisting of a maxWeight that can be put into a
+   backpack, one that shows the weight that is currently in the backpack, a
+   vector representing all available items and a vector for the items that have
+   been placed in the backpack. There is also a constructor to increase the
+   ease/convenience of use, as well as functions to:
+        * sort the available Items based on their getRatio()
+        * greedily pack the backpack
+        * get the value of all packed items
+*/
+struct Backpack {
+  int maxWeight;
+  std::vector<Item> availableItems;
+  int currentWeight;
+  std::vector<Item> packedItems;
+
+  Backpack(float maxWeight, std::vector<Item> availableItems)
+      : maxWeight(maxWeight), availableItems(availableItems),
+        currentWeight(0){};
+  void sortAvailableItems();
+  void greedyPack(bool continuous);
+  int getValuePacked();
+  void printItems();
+};

Uebung 5/Uebung5_3/item.cpp

@@ -0,0 +1,5 @@
+#include "item.h"
+
+/*  function that returns the value/weight ratio of an item as float; used to
+ * sort items    */
+float Item::getRatio() { return ((float)this->value / (float)this->weight); };

Uebung 5/Uebung5_3/item.h

@@ -0,0 +1,17 @@
+#include <string>
+
+#pragma once
+
+/*  Class for Item, containing name (string), value (int) and weight (int).
+    There is also a constructor that can be called with all member variables to
+    increase convenience. The getRatio() function returns the value/weight ratio
+*/
+class Item {
+public:
+  std::string name;
+  int weight;
+  int value;
+  Item(std::string name, int weight, int value)
+      : name(name), weight(weight), value(value){};
+  float getRatio();
+};

Uebung 5/Uebung5_3/main.cpp

@@ -0,0 +1,15 @@
+#include "backpack.h"
+#include "item.h"
+#include <vector>
+
+int main() {
+  std::vector<Item> items = {//  creation of the availableItems
+                             {"1", 5, 8},   {"2", 5, 8},   {"3", 6, 6},
+                             {"4", 8, 5},   {"5", 10, 10}, {"6", 11, 5},
+                             {"7", 12, 10}, {"8", 15, 17}, {"9", 15, 20},
+                             {"10", 30, 20}};
+  Backpack bp((float)24,
+              items);   //  creation of the backpack, utilizing the constructor
+  bp.greedyPack(false); //  greedily pack Backpack non-continuously
+  bp.greedyPack(true);  // greedily pack Backpack continuously
+}

Uebung 6/Uebung6_1/Makefile

@@ -0,0 +1,52 @@
+
+# Name of the binary for Development
+BINARY = main
+# Name of the binary for Release
+FINAL = prototyp
+# Object files
+OBJS   = mergeSortRand.o helperFunctions.o main.o
+# Compiler flags
+CFLAGS = -Werror -Wall -std=c++17 -g#-fsanitize=address,undefined -g
+# Linker flags
+LFLAGS = #-fsanitize=address,undefined
+#Which Compiler to use
+COMPILER = g++
+
+
+# all target: builds all important targets
+all: binary
+
+final : ${OBJS}
+	${COMPILER} ${LFLAGS} -o ${FINAL} ${OBJS}
+	rm ${OBJS}
+
+binary : ${OBJS}
+	${COMPILER} ${LFLAGS} -o ${BINARY} ${OBJS}
+
+# Links the binary
+${BINARY} : ${OBJS}
+	${COMPILER} ${LFLAGS} -o ${BINARY} ${OBJS}
+
+
+# Compiles a source-file (any file with file extension .c) into an object-file
+#
+# "%" is a wildcard which matches every file-name (similar to * in regular expressions)
+# Such a rule is called a pattern rule (because it matches a pattern, see https://www.gnu.org/software/make/manual/html_node/Pattern-Rules.html),
+# which are a form of so called implicit rules (see https://www.gnu.org/software/make/manual/html_node/Implicit-Rules.html)
+# "$@" and "$<" are so called automatic variables (see https://www.gnu.org/software/make/manual/html_node/Automatic-Variables.html)
+%.o : %.cpp
+	${COMPILER} -c ${CFLAGS} -o $@ $<
+
+
+# Rules can not only be used for compiling a program but also for executing a program
+run: ${BINARY}
+	./${BINARY}
+
+
+# Delete all build artifacts
+clean :
+	rm -rf ${BINARY} ${OBJS}
+
+
+# all  and clean are a "phony" targets, meaning they are no files
+.PHONY : all clean

Uebung 6/Uebung6_1/helperFunctions.cpp

@@ -0,0 +1,20 @@
+#include "helperFunctions.h"
+#include <ctime>
+
+void printArray(int* array, int arrayLength, std::string heading) {
+    std::cout << "========== " << heading << " ==========" << std::endl;
+    for(int i = 0; i < arrayLength; i++) {
+        if(i > 0) {
+            std::cout << " - ";
+        }
+        std::cout << array[i];
+    }
+    std::cout << std::endl << "==============================================" << std::endl;
+}
+
+void generateRandomIntArray(int* array, int arrayLength) {
+    std::srand(std::time(NULL));
+    for(int i = 0; i < arrayLength; i++) {
+        array[i] = rand() % 100000 + 1;
+    }
+}

Uebung 6/Uebung6_1/helperFunctions.h

@@ -0,0 +1,7 @@
+#include <string>
+#include <iostream>
+
+#pragma once
+
+void generateRandomIntArray(int* array, int arrayLength);
+void printArray(int* array, int arrayLength, std::string heading);

Uebung 6/Uebung6_1/main.cpp

@@ -0,0 +1,157 @@
+#include <iostream>
+#include <string>
+
+#include "helperFunctions.h"
+#include "mergeSortRand.h"
+#include <vector>
+
+#define ARRAY_LENGTH 10
+
+class PerformanceTest {
+private:
+  double minExecutionTime;
+  double maxExecutionTime;
+  double totalExecutionTime;
+  std::string algorithmName;
+
+public:
+  PerformanceTest() {
+    this->minExecutionTime = 1000;
+    this->maxExecutionTime = 0;
+    this->totalExecutionTime = 0;
+    this->algorithmName = "";
+  };
+
+  double getMinExecutionTime() { return this->minExecutionTime; }
+
+  double getMaxExecutionTime() { return this->maxExecutionTime; }
+
+  double getTotalExecutionTime() { return this->totalExecutionTime; }
+
+  const std::string &getAlgorithmName() { return this->algorithmName; }
+
+  void setAlgorithmName(std::string name) { this->algorithmName = name; }
+
+  void processResult(std::chrono::high_resolution_clock::time_point startTime,
+                     std::chrono::high_resolution_clock::time_point endTime) {
+    std::chrono::duration<double, std::milli> duration = (endTime - startTime);
+    double execTime = duration.count();
+    this->totalExecutionTime += execTime;
+    if (execTime < this->minExecutionTime) {
+      this->minExecutionTime = execTime;
+      return;
+    } else if (execTime > this->maxExecutionTime) {
+      this->maxExecutionTime = execTime;
+      return;
+    }
+  }
+};
+
+class PerformanceComparison {
+private:
+  int *baseArray;
+  int arrayLength;
+  int testsetSize;
+  std::vector<PerformanceTest *> testResults;
+
+public:
+  PerformanceComparison(int arrayLength, int testsetSize) {
+    this->arrayLength = arrayLength;
+    this->testsetSize = testsetSize;
+    this->baseArray =
+        (int *)malloc(sizeof(int) * this->arrayLength * this->testsetSize);
+    generateRandomIntArray(this->baseArray,
+                           this->arrayLength * this->testsetSize);
+  }
+
+  ~PerformanceComparison() {
+    free(this->baseArray);
+    for (int i = 0; i < this->testResults.size(); i++) {
+      free(testResults[i]);
+    }
+  }
+
+  void runTest(int algorithm) {
+    PerformanceTest *pt = new PerformanceTest();
+    if (algorithm == 1) {
+      pt->setAlgorithmName("MergeSort");
+      for (int i = 0; i < this->testsetSize; i++) {
+        int testArray[this->arrayLength];
+        std::memcpy(testArray, this->baseArray + (this->arrayLength * i),
+                    this->arrayLength * sizeof(int));
+        auto startTime = std::chrono::high_resolution_clock::now();
+        mergeSort(testArray, 0, arrayLength - 1);
+        auto endTime = std::chrono::high_resolution_clock::now();
+        pt->processResult(startTime, endTime);
+      }
+
+    } else if (algorithm == 2) {
+      pt->setAlgorithmName("MergeSortRand");
+      for (int i = 0; i < this->testsetSize; i++) {
+        int testArray[this->arrayLength];
+        std::memcpy(testArray, this->baseArray + (this->arrayLength * i),
+                    this->arrayLength * sizeof(int));
+        auto startTime = std::chrono::high_resolution_clock::now();
+        mergeSortRand(testArray, 0, arrayLength - 1);
+        auto endTime = std::chrono::high_resolution_clock::now();
+        pt->processResult(startTime, endTime);
+      }
+    } else {
+      std::cerr << "Algorithm not recognized!" << std::endl;
+      exit(1);
+    }
+
+    this->testResults.push_back(pt);
+  };
+
+  void printComparison(int mode) {
+    if (mode == 1) {
+      std::cout << "Algorithm\t\tMIN\t\t\tMAX\t\t\tAVG\t\t\tTOTAL" << std::endl;
+      for (int i = 0; i < this->testResults.size(); i++) {
+        std::cout << this->testResults[i]->getAlgorithmName() << "\t\t"
+                  << this->testResults[i]->getMinExecutionTime() << "\t\t"
+                  << this->testResults[i]->getMaxExecutionTime() << "\t\t"
+                  << this->testResults[i]->getTotalExecutionTime() /
+                         this->testsetSize
+                  << "\t\t" << this->testResults[i]->getTotalExecutionTime()
+                  << std::endl;
+      }
+    } else if (mode == 2) {
+      std::cout << "Algorithm\tTOTAL\t\tAVG" << std::endl;
+      for (int i = 0; i < this->testResults.size(); i++) {
+        std::cout << this->testResults[i]->getAlgorithmName() << "\t\t"
+                  << this->testResults[i]->getTotalExecutionTime() << " \t\t"
+                  << this->testResults[i]->getTotalExecutionTime() /
+                         this->testsetSize
+                  << std::endl;
+      }
+    } else {
+      std::cerr << "Mode not recognized!" << std::endl;
+      exit(1);
+    }
+  }
+};
+
+int main() {
+  srand(time(0));
+  int array[ARRAY_LENGTH];
+  int array2[ARRAY_LENGTH];
+  generateRandomIntArray(array, ARRAY_LENGTH);
+  memcpy(array2, array, ARRAY_LENGTH * sizeof(int));
+  printArray(array, ARRAY_LENGTH, "Unsortiertes Array");
+  mergeSort(array, 0, ARRAY_LENGTH - 1);
+  printArray(array, ARRAY_LENGTH, "Array nach MergeSort");
+  mergeSortRand(array2, 0, ARRAY_LENGTH - 1);
+  printArray(array2, ARRAY_LENGTH, "Array nach MergeSortRand");
+  for (int i = 0; i < ARRAY_LENGTH; i++) {
+    if (array[i] != array2[i]) {
+      std::cout << "ERROR" << std::endl;
+      exit(0);
+    }
+  }
+
+  PerformanceComparison pc(10, 10000);
+  pc.runTest(1);
+  pc.runTest(2);
+  pc.printComparison(1);
+}

Uebung 6/Uebung6_1/mergeSortRand.cpp

@@ -0,0 +1,62 @@
+#include "mergeSortRand.h"
+//#include <cstdlib>
+#include <iostream>
+
+void merge(int array[], int left, int middle, int right) {
+  int n1 = middle - left + 1;
+  int n2 = right - middle;
+
+  int leftArray[n1];
+  int rightArray[n2];
+
+  for (int i = 0; i < n1; i++) {
+    leftArray[i] = array[left + i];
+  }
+  for (int j = 0; j < n2; j++) {
+    rightArray[j] = array[middle + j + 1];
+  }
+
+  int k = 0, l = 0, m = left;
+  while (k < n1 && l < n2) {
+    if (leftArray[k] <= rightArray[l]) {
+      array[m] = leftArray[k];
+      k++;
+    } else {
+      array[m] = rightArray[l];
+      l++;
+    }
+    m++;
+  }
+
+  while (k < n1) {
+    array[m] = leftArray[k];
+    k++;
+    m++;
+  }
+
+  while (l < n2) {
+    array[m] = rightArray[l];
+    l++;
+    m++;
+  }
+}
+
+void mergeSortRand(int array[], int left, int right) {
+  if (left < right) {
+    int middle = (rand() % (right - left + 1)) + left;
+    if (middle < left || middle > right) {
+      std::cout << "ERROR2" << std::endl;
+    }
+    mergeSortRand(array, left, middle);
+    mergeSortRand(array, middle + 1, right);
+    merge(array, left, middle, right);
+  }
+}
+void mergeSort(int array[], int left, int right) {
+  if (left < right) {
+    int middle = left + (right - left) / 2;
+    mergeSort(array, left, middle);
+    mergeSort(array, middle + 1, right);
+    merge(array, left, middle, right);
+  }
+}

Uebung 6/Uebung6_1/mergeSortRand.h

@@ -0,0 +1,5 @@
+#pragma once
+
+void merge(int array[], int left, int middle, int right);
+void mergeSort(int array[], int left, int right);
+void mergeSortRand(int array[], int left, int right);