Max Sequence

praktika/01_big_o/max_folge.py

@@ -0,0 +1,52 @@
+from utils.memory_array import MemoryArray
+from utils.literal import Literal
+from utils.memory_cell import MemoryCell
+from utils.constants import MIN_VALUE
+from utils.memory_manager import MemoryManager
+
+def max_sequence_1(z: MemoryArray):
+    n = len(z)
+    m = MemoryCell(MIN_VALUE)
+    s = MemoryCell()
+    l = MemoryCell()
+    r = MemoryCell()
+    for i in range(n):
+        for j in range(i, n):
+            s.set(0)
+            for k in range(i, j):
+                s += z[Literal(k)]
+            if s > m:
+                m.set(s)
+                l.set(i)
+                r.set(j)
+    return m, l, r
+
+
+def example(max_sequende_func):
+    z = MemoryArray(Literal(10))
+    for i, v in enumerate([-59, 52, 46, 14, -50, 58, -87, -77, 34, 15]):
+        z[Literal(i)] = Literal(v)
+    m, l, r = max_sequende_func(z)
+    print(m, l, r)
+
+
+def analyze_complexity(max_sequence_func, sizes):
+    """
+    Analysiert die Komplexität einer maximalen Teilfolgenfunktion.
+
+    :param max_sequence_func: Die Funktion, die analysiert wird.
+    :param sizes: Eine Liste von Eingabegrößen für die Analyse.
+    """
+    for size in sizes:
+        MemoryManager.purge()  # Speicher zurücksetzen
+        random_array = MemoryArray.create_random_array(size, -100, 100)
+        max_sequence_func(random_array)
+        MemoryManager.save_stats(size)
+
+    MemoryManager.plot_stats(["cells", "adds"])
+
+
+
+if __name__ == '__main__':
+    example(max_sequence_1)
+    analyze_complexity(max_sequence_1, [10, 20, 30, 40, 50, 60, 70, 80, 90, 100])

requirements.txt

@@ -0,0 +1,3 @@
+matplotlib
+numpy
+pygame

utils/constants.py

@@ -1,41 +1,5 @@
-from literal import Literal
+from utils.literal import Literal
 
-class MinValue(Literal):
+MAX_VALUE = Literal(99999999999999999999)
+MIN_VALUE = Literal(-99999999999999999999)
 
-    def __init__(self):
-        super().__init__(0)
-
-    def __gt__(self, other):
-        return False
-
-    def __ge__(self, other):
-        return False
-
-    def __lt__(self, other):
-        return True
-
-    def __le__(self, other):
-        return True
-
-    def __eq__(self, other):
-        return False
-
-class MaxValue(Literal):
-
-    def __init__(self):
-        super().__init__(0)
-
-    def __gt__(self, other):
-        return True
-
-    def __ge__(self, other):
-        return True
-
-    def __lt__(self, other):
-        return False
-
-    def __le__(self, other):
-        return False
-
-    def __eq__(self, other):
-        return False

utils/literal.py

@@ -2,7 +2,10 @@
 class Literal:
     def __init__(self, value):
         """Initialisiert Literal."""
-        self.value = value
+        if isinstance(value, Literal):
+            self.value = value.value
+        else:
+            self.value = value
         self.read_count = 0
         self.compare_count = 0
 

utils/memory_array.py

@@ -1,7 +1,8 @@
-from literal import Literal
-from memory_cell import MemoryCell
-from memory_manager import MemoryManager
+from utils.literal import Literal
+from utils.memory_cell import MemoryCell
+from utils.memory_manager import MemoryManager
 from pathlib import Path
+from random import randint
 
 class MemoryArray:
 
@@ -55,7 +56,7 @@ class MemoryArray:
         size = Literal(count)
         a = MemoryArray(size)
         for i in a.indices():
-            a[i] = Literal(random.randint(min_value, max_value))
+            a[i] = Literal(randint(min_value, max_value))
         a.reset_counters()
         return a
 

utils/memory_cell.py

@@ -1,5 +1,5 @@
-from memory_manager import MemoryManager
-from literal import Literal
+from utils.memory_manager import MemoryManager
+from utils.literal import Literal
 
 class MemoryCell (Literal):
     def __init__(self, value=None):
@@ -31,7 +31,10 @@ class MemoryCell (Literal):
     def set(self, new_value):
         """Schreibt einen neuen Wert in die Speicherzelle und erhöht den Schreibzähler."""
         self.write_count += 1
-        self.value = new_value
+        if isinstance(new_value, Literal):
+            self.value = new_value.value
+        else:
+            self.value = new_value
 
     def add(self, other):
         """Addiert den Wert der Speicherzelle mit einem anderen Wert."""
@@ -180,4 +183,3 @@ if __name__ == "__main__":
     print(f"Ergebnis: {a}")
     print(f"a wurde {a.get_read_count()} mal gelesen und {a.get_write_count()} mal geschrieben.")
     print(f"b wurde {b.get_read_count()} mal gelesen und {b.get_write_count()} mal geschrieben.")
-    MemoryManager.print_statistics()

utils/memory_manager.py

@@ -1,6 +1,11 @@
+import numpy as np
+import matplotlib.pyplot as plt
+
+
 class MemoryManager:
 
     instance = None
+    stats = {}
 
     @staticmethod
     def get_instance():
@@ -51,11 +56,40 @@ class MemoryManager:
             cell.reset_counters
 
     @staticmethod
-    def print_statistics():
-        print(f"Anzahl der Speicherzellen: {MemoryManager.count_cells()}")
-        print(f"Anzahl der Lesezugriffe: {MemoryManager.count_reads()}")
-        print(f"Anzahl der Schreibzugriffe: {MemoryManager.count_writes()}")
-        print(f"Anzahl der Vergleiche: {MemoryManager.count_compares()}")
+    def purge():
+        MemoryManager.instance = None
+
+    @staticmethod
+    def save_stats(count):
+        data = {    "cells": MemoryManager.count_cells(),
+                    "reads": MemoryManager.count_reads(),
+                    "writes": MemoryManager.count_writes(),
+                    "compares": MemoryManager.count_compares(),
+                    "adds": MemoryManager.count_adds(),
+                    "subs": MemoryManager.count_subs(),
+                    "muls": MemoryManager.count_muls(),
+                    "divs": MemoryManager.count_divs(),
+                    "bitops": MemoryManager.count_bitops()  }
+        MemoryManager.stats[count] = data
+
+    @staticmethod
+    def plot_stats(labels):
+        data = MemoryManager.stats
+        x = list(data.keys())
+
+        fig, axes = plt.subplots(len(labels), 1, figsize=(8, 4 * len(labels)), sharex=True)
+
+        if len(labels) == 1:
+            axes = [axes]  # Falls nur ein Plot vorhanden ist, in eine Liste umwandeln
+
+        for ax, l in zip(axes, labels):
+            y = [data[k][l] for k in x]
+            ax.plot(x, y, label=l)
+            ax.set_ylabel(l)
+            ax.legend()
+
+        plt.xlabel("n")
+        plt.show()
 
     def __init__(self):
         self.cells = []

utils/test_memory_array.py

@@ -1,8 +1,7 @@
 from unittest import TestCase
-from literal import Literal
-from memory_array import MemoryArray
+from utils.literal import Literal
+from utils.memory_array import MemoryArray
 import random
-from pathlib import Path
 
 class TestMemoryArray(TestCase):
 

utils/test_memory_cell.py

@@ -1,6 +1,6 @@
 from unittest import TestCase
-from memory_cell import MemoryCell
-from literal import Literal
+from utils.memory_cell import MemoryCell
+from utils.literal import Literal
 import random