Quick Sort and Heap Sort

utils/memory_cell.py

@@ -2,11 +2,24 @@ from utils.memory_manager import MemoryManager
 from utils.literal import Literal
 
 class MemoryCell (Literal):
+
+    def __new__(cls, *args, **kwargs):
+        """Erstellt eine neue Instanz von MemoryCell."""
+        instance = MemoryManager().acquire_cell()
+        if instance is None:
+            instance = super().__new__(cls)
+            MemoryManager().register_cell(instance)
+        return instance
+
+    def __enter__(self):
+        return self
+
+    def __exit__(self, exc_type, exc_val, exc_tb):
+        MemoryManager().release_cell(self)
+
     def __init__(self, value=None):
         """Initialisiert eine Speicherzelle mit optionalem Startwert."""
         super().__init__(value)
-        manager = MemoryManager.get_instance()
-        manager.add_cell(self)
         self.write_count = 0
         self.add_count = 0
         self.sub_count = 0
@@ -171,10 +184,6 @@ class MemoryCell (Literal):
         self.div(other)
         return self
 
-    def __imod__(self, other):
-        self.mod(other)
-        return self
-
 
 if __name__ == "__main__":
     a = MemoryCell(5)

utils/memory_manager.py

@@ -1,63 +1,72 @@
-import numpy as np
 import matplotlib.pyplot as plt
+import queue
 
 
 class MemoryManager:
 
-    instance = None
+    _instance = None
     stats = {}
 
-    @staticmethod
-    def get_instance():
-        if MemoryManager.instance is None:
-            MemoryManager.instance = MemoryManager()
-        return MemoryManager.instance
+    def __new__(cls, *args, **kwargs):
+        """Erstellt eine einzige Instanz von MemoryManager."""
+        if cls._instance is None:
+            cls._instance = super().__new__(cls)
+            cls._instance._initialize()  # Eigene Init-Methode, damit __init__ nicht mehrfach läuft
+        return cls._instance
+
+    def _initialize(self):
+        """Initialisiert die Speicherverwaltung (einmalig)."""
+        self.cells = []
+        self._pool = queue.Queue()
+        self._finalizers = {}
+
 
     @staticmethod
     def count_cells():
-        return len(MemoryManager.get_instance().cells)
+        return len(MemoryManager().cells)
+
 
     @staticmethod
     def count_reads():
-        return sum([cell.read_count for cell in MemoryManager.get_instance().cells])
+        return sum([cell.read_count for cell in MemoryManager().cells])
 
     @staticmethod
     def count_writes():
-        return sum([cell.write_count for cell in MemoryManager.get_instance().cells])
+        return sum([cell.write_count for cell in MemoryManager().cells])
 
     @staticmethod
     def count_compares():
-        return sum([cell.compare_count for cell in MemoryManager.get_instance().cells])
+        return sum([cell.compare_count for cell in MemoryManager().cells])
 
     @staticmethod
     def count_adds():
-        return sum([cell.add_count for cell in MemoryManager.get_instance().cells])
+        return sum([cell.add_count for cell in MemoryManager().cells])
 
     @staticmethod
     def count_subs():
-        return sum([cell.sub_count for cell in MemoryManager.get_instance().cells])
+        return sum([cell.sub_count for cell in MemoryManager().cells])
 
     @staticmethod
     def count_muls():
-        return sum([cell.mul_count for cell in MemoryManager.get_instance().cells])
+        return sum([cell.mul_count for cell in MemoryManager().cells])
 
     @staticmethod
     def count_divs():
-        return sum([cell.div_count for cell in MemoryManager.get_instance().cells])
+        return sum([cell.div_count for cell in MemoryManager().cells])
 
     @staticmethod
     def count_bitops():
-        return sum([cell.bitop_count for cell in MemoryManager.get_instance().cells])
+        return sum([cell.bitop_count for cell in MemoryManager().cells])
 
     @staticmethod
     def reset():
-        manager = MemoryManager.get_instance()
+        manager = MemoryManager()
         for cell in manager.cells:
             cell.reset_counters()
 
     @staticmethod
     def purge():
-        MemoryManager.instance = None
+        MemoryManager._instance = None
 
     @staticmethod
     def save_stats(count):
@@ -91,8 +100,49 @@ class MemoryManager:
         plt.xlabel("n")
         plt.show()
 
-    def __init__(self):
-        self.cells = []
 
-    def add_cell(self, cell):
+    def acquire_cell(self):
+        try:
+            return self._pool.get_nowait()
+        except queue.Empty:
+            return None
+
+    def register_cell(self, cell):
         self.cells.append(cell)
+
+    def release_cell(self, cell):
+        self._pool.put(cell)
+
+
+class Testcell:
+
+    def __new__(cls, *args, **kwargs):
+        instance = MemoryManager().acquire_cell()
+        if instance is None:
+            instance = super().__new__(cls)
+            MemoryManager().register_cell(instance)
+        return instance
+
+    def __enter__(self):
+        return self
+
+    def __exit__(self, exc_type, exc_val, exc_tb):
+        MemoryManager().release_cell(self)
+
+
+if __name__ == "__main__":
+
+    # Einfaches Anlegen einer Zelle
+    a = Testcell()
+    print(MemoryManager.count_cells())
+
+    # Anlegen einer Zelle und Beenden des Scopes
+    with Testcell() as b:
+        print(MemoryManager.count_cells())
+
+    print(MemoryManager.count_cells())
+
+    # Reuse einer Zelle
+    c = Testcell()
+    print(MemoryManager.count_cells())
+

vorlesung/02_elementares_sortieren/insert_sorting.py

@@ -58,4 +58,4 @@ def swap(z: MemoryArray, i: int, j: int):
 
 if __name__ == '__main__':
         analyze_complexity(insert_sort, [10, 20, 30, 40, 50, 60, 70, 80, 90, 100])
-        analyze_complexity(insert_sort, [10, 20, 30, 40, 50, 60, 70, 80, 90, 100], True)
+        #analyze_complexity(insert_sort, [10, 20, 30, 40, 50, 60, 70, 80, 90, 100], True)

vorlesung/03_fortgeschrittenes_sortieren/heap_game.py

@@ -0,0 +1,42 @@
+import random
+import pygame
+from utils.game import Game
+from utils.memory_array import MemoryArray
+from utils.literal import Literal
+from heap_sorting import heap_sort_stepwise
+
+WHITE = (255, 255, 255)
+BLUE = (0, 0, 255)
+
+class HeapGame(Game):
+
+    def __init__(self):
+        super().__init__("Heap Game", fps=20, size=(400, 400))
+        random.seed()
+        l =list(range(1, 101))
+        random.shuffle(l)
+        self.z = MemoryArray(l)
+        self.finished = False
+        self.sort_generator = heap_sort_stepwise(self.z)
+
+    def update_game(self):
+        if not self.finished:
+            try:
+                next(self.sort_generator)
+            except StopIteration:
+                self.finished = True
+        return True
+
+    def draw_game(self):
+        self.screen.fill(WHITE)
+        for i, cell in enumerate(self.z):
+            x = 50 + i*3
+            y = 350 - cell.value * 3
+            pygame.draw.rect(self.screen, BLUE, (x, y, 3, 3))
+        super().draw_game()
+
+
+if __name__ == "__main__":
+    sort_game = HeapGame()
+    sort_game.run()
+

vorlesung/03_fortgeschrittenes_sortieren/heap_sorting.py

@@ -0,0 +1,93 @@
+from utils.memory_array import MemoryArray
+from utils.memory_cell import MemoryCell
+from utils.memory_manager import MemoryManager
+from utils.memory_range import mrange
+from utils.literal import Literal
+
+def heap_sort_stepwise(z: MemoryArray):
+    n = z.length()
+    yield from make_max_heap(z)
+    with MemoryCell(n) as heapsize:
+        for i in mrange(n, 1, -1):
+            swap(z, 0, i.pred())
+            yield z
+            heapsize.set(heapsize.pred())
+            yield from max_heapyfy(z, Literal(1), heapsize)
+
+
+def heap_sort(z: MemoryArray):
+    sort_generator = heap_sort_stepwise(z)
+    while True:
+        try:
+            next(sort_generator)
+        except StopIteration:
+            break
+
+
+def left_child(i: Literal):
+    return Literal(2 * int(i))
+
+
+def right_child(i: Literal):
+    return Literal(2 * int(i) + 1)
+
+
+def adjust_index(i: Literal):
+    return i.pred()
+
+
+def make_max_heap(z: MemoryArray):
+    n = z.length()
+    for i in mrange(int(n) // 2, 0, -1):
+        yield from max_heapyfy(z, i, n)
+
+
+def max_heapyfy(z: MemoryArray, i: Literal, heapsize: Literal):
+    l = left_child(i)
+    r = right_child(i)
+    with MemoryCell(i) as max_value:
+        if l <= heapsize and z[adjust_index(l)] > z[adjust_index(i)]:
+            max_value.set(l)
+        if r <= heapsize and z[adjust_index(r)] > z[adjust_index(max_value)]:
+            max_value.set(r)
+        if max_value != i:
+            swap(z, int(i)-1, int(max_value)-1)
+            yield z
+            yield from max_heapyfy(z, max_value, heapsize)
+
+
+def sort_file(filename, sort_func):
+    z = MemoryArray.create_array_from_file(filename)
+    sort_func(z)
+    return z
+
+
+def analyze_complexity(sort_func, sizes, presorted=False):
+    """
+    Analysiert die Komplexität einer Sortierfunktion.
+
+    :param sort_func: Die Funktion, die analysiert wird.
+    :param sizes: Eine Liste von Eingabegrößen für die Analyse.
+    """
+    for size in sizes:
+        MemoryManager.purge()  # Speicher zurücksetzen
+        if presorted:
+            random_array = MemoryArray.create_sorted_array(size)
+        else:
+            random_array = MemoryArray.create_random_array(size, -100, 100)
+        sort_func(random_array)
+        MemoryManager.save_stats(size)
+
+    MemoryManager.plot_stats(["cells", "compares", "writes"])
+
+
+def swap(z: MemoryArray, i: int, j: int):
+    tmp = z[Literal(i)].value
+    z[Literal(i)] = z[Literal(j)]
+    z[Literal(j)].set(tmp)
+
+
+if __name__ == '__main__':
+    sizes = range(10, 101, 10)
+    analyze_complexity(heap_sort, sizes)
+    # analyze_complexity(quick_sort, sizes, True)

vorlesung/03_fortgeschrittenes_sortieren/quick_game.py

@@ -0,0 +1,42 @@
+import random
+import pygame
+from utils.game import Game
+from utils.memory_array import MemoryArray
+from utils.literal import Literal
+from quick_sorting import quick_sort_stepwise
+
+WHITE = (255, 255, 255)
+BLUE = (0, 0, 255)
+
+class QuickGame(Game):
+
+    def __init__(self):
+        super().__init__("Quick Game", fps=10, size=(400, 400))
+        random.seed()
+        l =list(range(1, 101))
+        random.shuffle(l)
+        self.z = MemoryArray(l)
+        self.finished = False
+        self.sort_generator = quick_sort_stepwise(self.z, Literal(0), Literal(self.z.length().pred()))
+
+    def update_game(self):
+        if not self.finished:
+            try:
+                next(self.sort_generator)
+            except StopIteration:
+                self.finished = True
+        return True
+
+    def draw_game(self):
+        self.screen.fill(WHITE)
+        for i, cell in enumerate(self.z):
+            x = 50 + i*3
+            y = 350 - cell.value * 3
+            pygame.draw.rect(self.screen, BLUE, (x, y, 3, 3))
+        super().draw_game()
+
+
+if __name__ == "__main__":
+    sort_game = QuickGame()
+    sort_game.run()
+

vorlesung/03_fortgeschrittenes_sortieren/quick_sorting.py

@@ -0,0 +1,82 @@
+from utils.memory_array import MemoryArray
+from utils.memory_cell import MemoryCell
+from utils.memory_manager import MemoryManager
+from utils.memory_range import mrange
+from utils.literal import Literal
+
+def quick_sort_stepwise(z: MemoryArray, l: Literal, r: Literal):
+    n = z.length()
+    if l < r:
+        q = partition(z, l, r)
+        yield z
+        yield from quick_sort_stepwise(z, l, q.pred())
+        yield from quick_sort_stepwise(z, q.succ(), r)
+        yield z
+
+
+def partition(z: MemoryArray, l: Literal, r: Literal):
+    with MemoryCell(z[r]) as pivot, MemoryCell(l) as i, MemoryCell(r.pred()) as j:
+            while i < j:
+                while z[i] < pivot:
+                    i.set(i.succ())
+                while j > l and z[j] >= pivot:
+                    j.set(j.pred())
+                if i < j:
+                    swap(z, int(i), int(j))
+                    i.set(i.succ())
+                    j.set(j.pred())
+            if i == j and z[i] < pivot:
+                i.set(i.succ())
+            if z[i] != pivot:
+                swap(z, int(i), int(r))
+            return Literal(i)
+
+
+def quick_sort(z: MemoryArray, l: Literal = None, r: Literal = None):
+    if l is None:
+        l = Literal(0)
+    if r is None:
+        r = z.length().pred()
+    sort_generator = quick_sort_stepwise(z, l, r)
+    while True:
+        try:
+            next(sort_generator)
+        except StopIteration:
+            break
+
+
+def sort_file(filename, sort_func):
+    z = MemoryArray.create_array_from_file(filename)
+    sort_func(z)
+    return z
+
+
+def analyze_complexity(sort_func, sizes, presorted=False):
+    """
+    Analysiert die Komplexität einer Sortierfunktion.
+
+    :param sort_func: Die Funktion, die analysiert wird.
+    :param sizes: Eine Liste von Eingabegrößen für die Analyse.
+    """
+    for size in sizes:
+        MemoryManager.purge()  # Speicher zurücksetzen
+        if presorted:
+            random_array = MemoryArray.create_sorted_array(size)
+        else:
+            random_array = MemoryArray.create_random_array(size, -100, 100)
+        sort_func(random_array)
+        MemoryManager.save_stats(size)
+
+    MemoryManager.plot_stats(["cells", "compares", "writes"])
+
+
+def swap(z: MemoryArray, i: int, j: int):
+    tmp = z[Literal(i)].value
+    z[Literal(i)] = z[Literal(j)]
+    z[Literal(j)].set(tmp)
+
+
+if __name__ == '__main__':
+    sizes = range(10, 101, 10)
+    analyze_complexity(quick_sort, sizes)
+    # analyze_complexity(quick_sort, sizes, True)