First Prototype To Iannick

SourceCode/AlgorithmAnalyser.py

@@ -5,8 +5,18 @@ import multiprocessing
 import time
 import re
 from numpy import random as r
+from numpy import *
+
 import shutil
 
+# Surrogate modelling
+import itertools
+import matplotlib.pyplot as plt
+from mpl_toolkits.mplot3d import Axes3D
+
+# Test function characteristics
+import statistics as st
+from scipy import signal, misc, ndimage
 
 
 heuristicpath = "/home/remi/Documents/MDAF-GitLAB/SourceCode/SampleAlgorithms/SimmulatedAnnealing.py"
@@ -21,6 +31,10 @@ args = {"high": 200, "low": -200, "t": 1000, "p": 0.95}
 scale = 2.5
 
 def measure(heuristicpath, heuristic_name, funcpath, funcname, objs, args, scale, connection):
+    '''
+    This function runs each optimization process of the heuristic with one test function
+    '''
+    
     # Seeding the random module for generating the initial point of the optimizer: Utilising random starting point for experimental validity
     r.seed(int(time.time()))
 
@@ -44,7 +58,7 @@ def measure(heuristicpath, heuristic_name, funcpath, funcname, objs, args, scale
     # ^^ The timer ends right above this; the CPU time is then calculated below by simple difference ^^
 
     # Building the response
-    response = "The optimum point obtained is: " + str(best) + "\nThe CPU time of the process was: " + str((toc - tic)*(10**-9))
+    response = "The optimum point obtained is: " + str(best) + "\nThe CPU time of the process was: " + str((toc - tic)*(10**-9) + "Seconds")
 
     connection.send(response)
 
@@ -89,21 +103,95 @@ def representfunc(funcpath):
             results[charac[0]] = float(charac[1])
 
         # Automatically generate the representation if the docstrings did not return anything
-        if not results:
-            print("Calculating the Characteristics")
-
-            # Modality
-
-            # Basins
-
-            # Valleys
-
-            # Separability
-
-            # Dimensionality
-
+        if not ('Represented' in results):
+            print("Warning, the Representation of the Test Function has not specified\n===\n******Calculating the Characteristics******")
+            n = int(results['dimmensions'])
+            
+            # pickle these steps
+            coords = arange(-10,10,0.5)
+            samplemx = array([*itertools.product(coords, repeat=n)])
+            funcmap = array([* map(funcmodule.main, samplemx)])
+            
+            # Arrays for plotting the test function
+            X = array([tp[0] for tp in samplemx])
+            Y = array([tp[1] for tp in samplemx])
+            Z = array(funcmap)
+            
+            # reshaping the array into a 3D topology
+            topology = reshape(Z,(coords.size,coords.size))
+            ck = topology
+            
+            # Plotting the test function
+            fig = plt.figure()
+            ax = fig.add_subplot(111, projection='3d')
+            ax.plot_trisurf(X, Y, Z)
+            # plt.show()
+            
+            
 
+            # Number of Modes filter the data for local optima: look for circle like shapes, or squares or rectangles of very low derivative (tip of modes)
+            
+            
+            
+            # Valleys and Bassins
+            
+            # Alternative filter used for calculating derivatives
+            derfilt = array([1.0, -2, 1.0], dtype=float32)
+            alpha = signal.sepfir2d(ck, derfilt, [1]) + signal.sepfir2d(ck, [1], derfilt)
+            
+            # Currently used filter for Valley detection
+            hor = array([[0,1,1],[-1,0,1], [-1,-1,0]])
+            vert = array([[-1,-1,0], [-1,0,1], [0,1,1]])
+            
+            for i in range(1): betaH = signal.convolve(ck,hor,mode='valid')
+            for i in range(1): betaV = signal.convolve(ck,vert, mode='valid')
+            
+            beta = sqrt(betaH ** 2 + betaV ** 2)
+            
+                        
+            #beta = beta[5:-5][5:-5]
+            
+            norm = linalg.norm(beta)
+            beta/= norm  # normalized matrix
+            
+            
+            # custom filter for detection should light up the locaton of pattern
+            kernel = array([[1,1,1], [1,100,1], [1,1,1]])
+            beta = beta < average(beta)
+            beta = beta * 1
+            for i in range(100):
+                    beta = ndimage.convolve(beta,kernel)
+                    beta = beta >= 101
+                    beta = beta * 1
+            
+            if any(beta): results['Valleys'] = True
+            
+            
+            # Separability: calculate the derivatives in one dimension and see if independant from other dimension
+            
+            
+            # Dimensionality: number of objectives, inputs: call function once and see what it gives | for number of inputs call until it works; try catch
+            
+            
+            # Pareto fronts: 
+            
+            
+            # Noisyness: use the previously generated DOE and calculate a noisyness factor; average of derivative
+            
+            # Displaying the plots for development purposes
+            img1 = plt.figure()
+            ax2 = img1.add_subplot(111)
+            ax2.imshow(alpha)
+            
+            img2 = plt.figure()
+            ax3 = img2.add_subplot(111)
+            ax3.imshow(beta)
+            
+            plt.show()
+            
+            
             # Writing the calculated representation into the test function file
+            # results['Represented'] = True
             writerepresentation(funcpath, results)
 
 
@@ -153,6 +241,6 @@ def doe(heuristicpath, heuristic_name, testfunctionpaths, funcnames, objs, args,
     for process in proc: print(process.name + "____\n" + str(responses[process.name]) + "\n_________________")
 
 
-#doe (heuristicpath, heuristic_name, testfunctionpaths, funcnames, objs, args, scale)
+doe (heuristicpath, heuristic_name, testfunctionpaths, funcnames, objs, args, scale)
 
-representfunc("/home/remi/Documents/MDAF-GitLAB/SourceCode/TestFunctions/Bukin2.py")
+#representfunc("/home/remi/Documents/MDAF-GitLAB/SourceCode/TestFunctions/Bukin6.py")

SourceCode/TestFunctions/Brown.py

@@ -1,6 +1,10 @@
 def main(args):
+    '''
+    
+    #_# dimmensions: 0
+    '''
     result = 0
-    for i,x in enumerate(args[1:-1]):
+    for i,x in enumerate(args[0:-1]):
         result += (x**2)**(args[i+1]**2+1) + (args[i+1]**2)**(x**2 + 1)
 
-    return result
+    return result

SourceCode/TestFunctions/Bukin2.py

@@ -5,7 +5,27 @@ def main(args):
     :return: float
     
 
+	#_# dimmensions: 2
 	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
 	'''
     return 100*(args[1]-0.01*args[0]**2+1)+0.01*(args[0]+10)**2
 

SourceCode/TestFunctions/Bukin4.py

@@ -1,2 +1,7 @@
 def main(args):
-    return 100*args[1]**2+0.01*abs(args[0]+10)
+    '''
+    #_# dimmensions: 2
+    
+	#_# dimmensions: 2.0
+	'''
+    return 100*args[1]**2+0.01*abs(args[0]+10)

SourceCode/TestFunctions/Bukin6.py

@@ -2,4 +2,64 @@ from math import sqrt, fabs
 
 
 def main(args):
-    return 100*sqrt(fabs(args[1]-0.01*args[0]**2))+0.01*fabs(args[0]+10)
+    '''
+    #_# dimmensions: 2
+    
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	
+	#_# dimmensions: 2.0
+	#_# Valleys: True
+	'''
+    return 100*sqrt(fabs(args[1]-0.01*args[0]**2))+0.01*fabs(args[0]+10)

SourceCode/TestFunctions/Keane.py

@@ -3,6 +3,9 @@ import math
 
 
 def main(args):
+    '''
+    #_# dimmensions: 2
+    '''
     for x in args:
         if(x<0 | x>10): return 0
     return (math.sin(args[0]-args[1])**2*math.sin(args[0]+args[1])**2)/(math.sqrt(args[0]**2+args[1]**2))

SourceCode/TestFunctions/Leon.py

@@ -2,6 +2,9 @@
 
 
 def main(args):
+    '''
+    #_# dimmensions: 2
+    '''
     for x in args:
         if x < -1.2 or x > 1.2:
             return 0

SourceCode/TestFunctions/Matyas.py

@@ -1,13 +1,12 @@
 
 def main(args):
-    """
+    '''
     >>> main([0,1])
     0.26
 
-    :param args: list of floats
-    :return: float
-
-    """
+    
+     #_# dimmensions: 2
+    '''
     for x in args:
         if x < -10 or x > 10:
             return 0
@@ -15,4 +14,4 @@ def main(args):
 
 if __name__ == "__main__":
     import doctest
-    doctest.testmod()
+    doctest.testmod()

SourceCode/TestFunctions/McCormick.py

@@ -1,16 +1,16 @@
 import math
 def main(args):
-    """
+    '''
     >>>main([-0.547, -1.547])
     0
-
-    :param args:
-    :return:
-    """
+    
+     #_# dimmensions: 2
+    
+    '''
     for args[0] in args:
         if args[0] < -1.5 or args[0] > 4:
             return 0
         if args[1] < -3 or args[1] > 3:
             return 0
-    return math.sin(args[0]+args[1])+(args[0]-args[1])**2-(3*args[0]/2)+(5*args[1/2])+1
+    return math.sin(args[0]+args[1])+(args[0]-args[1])**2-(3*args[0]/2)+(5*args[1]/2)+1
 

SourceCode/TestFunctions/Miele_Cantrell.py

@@ -2,12 +2,12 @@ import math
 
 
 def main(args):
-    """
+    '''
     >>>main([0, 1, 1, 1])
     0
-    :param args:
-    :return:
-    """
+    
+     #_# dimmensions: 4
+    '''
     for x in args:
         if x < -1 or x > 1:
             return 0