hopfield.txt

Network Hopfield Model

/******************************************************************************

              ==============
    Network:     Hopfield Model
              ==============

    Application: Autoassociative Memory
              Associative Recall of Images

    Author:     Karsten Kutza
    Date:       30.1.96

    Reference:   J.J. Hopfield
              Neural Networks and Physical Systems
              with Emergent Collective Computational Abilities
              Proceedings of the National Academy of Sciences, 79,
              pp. 2554-2558, 1982

******************************************************************************/




/******************************************************************************
                  D E C L A R A T I O N S
******************************************************************************/


#include <stdlib.h>
#include <stdio.h>


typedef int       BOOL;
typedef char       CHAR;
typedef int       INT;

#define FALSE       0
#define TRUE       1
#define NOT       !
#define AND       &&
#define OR         ||

#define LO         -1
#define HI         +1

#define BINARY(x)   ((x)==LO ? FALSE : TRUE)
#define BIPOLAR(x)   ((x)==FALSE ? LO : HI)


typedef struct {               /* A NET:                     */
    INT       Units;       /* - number of units in this net       */
    INT*       Output;     /* - output of ith unit             */
    INT*       Threshold;   /* - threshold of ith unit           */
    INT**       Weight;     /* - connection weights to ith unit     */
} NET;


/******************************************************************************
    R A N D O M S   D R A W N   F R O M   D I S T R I B U T I O N S
******************************************************************************/


void InitializeRandoms()
{
srand(4711);
}


INT RandomEqualINT(INT Low, INT High)
{
return rand() % (High-Low+1) + Low;
}     


/******************************************************************************
          A P P L I C A T I O N - S P E C I F I C   C O D E
******************************************************************************/


#define NUM_DATA     5
#define X         10
#define Y         10

#define N         (X * Y)

CHAR             Pattern[NUM_DATA][Y][X] = { { "O O O O O ",
                                  " O O O O O",
                                  "O O O O O ",
                                  " O O O O O",
                                  "O O O O O ",
                                  " O O O O O",
                                  "O O O O O ",
                                  " O O O O O",
                                  "O O O O O ",
                                  " O O O O O" },

                                  { "OO OO OO",
                                  "OO OO OO",
                                  " OO OO ",
                                  " OO OO ",
                                  "OO OO OO",
                                  "OO OO OO",
                                  " OO OO ",
                                  " OO OO ",
                                  "OO OO OO",
                                  "OO OO OO" },

                                  { "OOOOO   ",
                                  "OOOOO   ",
                                  "OOOOO   ",
                                  "OOOOO   ",
                                  "OOOOO   ",
                                  "   OOOOO",
                                  "   OOOOO",
                                  "   OOOOO",
                                  "   OOOOO",
                                  "   OOOOO" },

                                  { "O O O O",
                                  " O O O ",
                                  " O O O ",
                                  "O O O O",
                                  " O O O ",
                                  " O O O ",
                                  "O O O O",
                                  " O O O ",
                                  " O O O ",
                                  "O O O O" },

                                  { "OOOOOOOOOO",
                                  "O     O",
                                  "O OOOOOO O",
                                  "O O   O O",
                                  "O O OO O O",
                                  "O O OO O O",
                                  "O O   O O",
                                  "O OOOOOO O",
                                  "O     O",
                                  "OOOOOOOOOO" } };

CHAR             Pattern_[NUM_DATA][Y][X] = { { "       ",
                                  "       ",
                                  "       ",
                                  "       ",
                                  "       ",
                                  " O O O O O",
                                  "O O O O O ",
                                  " O O O O O",
                                  "O O O O O ",
                                  " O O O O O" },

                                  { "OOO O   O",
                                  " O OOO OO",
                                  " O O OO O",
                                  " OOO   O ",
                                  "OO O OOO",
                                  " O OOO   O",
                                  "O OO O O",
                                  "   O OOO ",
                                  "OO OOO O ",
                                  " O O OOO" },

                                  { "OOOOO   ",
                                  "O   O OOO ",
                                  "O   O OOO ",
                                  "O   O OOO ",
                                  "OOOOO   ",
                                  "   OOOOO",
                                  " OOO O   O",
                                  " OOO O   O",
                                  " OOO O   O",
                                  "   OOOOO" },

                                  { "O OOOO O",
                                  "OO OOOO ",
                                  "OOO OOOO ",
                                  "OOOO OOOO",
                                  " OOOO OOO",
                                  " OOOO OO",
                                  "O OOOO O",
                                  "OO OOOO ",
                                  "OOO OOOO ",
                                  "OOOO OOOO" },

                                  { "OOOOOOOOOO",
                                  "O     O",
                                  "O     O",
                                  "O     O",
                                  "O   OO   O",
                                  "O   OO   O",
                                  "O     O",
                                  "O     O",
                                  "O     O",
                                  "OOOOOOOOOO" } };

INT             Input [NUM_DATA][N];
INT             Input_[NUM_DATA][N];

FILE*           f;


void InitializeApplication(NET* Net)
{
INT n,i,j;

for (n=0; n<NUM_DATA; n++) {
  for (i=0; i<Y; i++) {
    for (j=0; j<X; j++) {
    Input [n][i*X+j] = BIPOLAR(Pattern [n][j] == 'O');
    Input_[n][i*X+j] = BIPOLAR(Pattern_[n][j] == 'O');
    }
  }
}
f = fopen("HOPFIELD.txt", "w");
}


void WriteNet(NET* Net)
{
INT i,j;
  
for (i=0; i<Y; i++) {
  for (j=0; j<X; j++) {
    fprintf(f, "%c", BINARY(Net->Output[i*X+j]) ? 'O' : ' ');
  }
  fprintf(f, "\n");
}
fprintf(f, "\n");
}


void FinalizeApplication(NET* Net)
{
fclose(f);
}


/******************************************************************************
                I N I T I A L I Z A T I O N
******************************************************************************/


void GenerateNetwork(NET* Net)
{
INT i;

Net->Units   = N;
Net->Output   = (INT*) calloc(N, sizeof(INT));
Net->Threshold = (INT*) calloc(N, sizeof(INT));
Net->Weight   = (INT**) calloc(N, sizeof(INT*));

for (i=0; i<N; i++) {
  Net->Threshold = 0;
  Net->Weight   = (INT*) calloc(N, sizeof(INT));
}
}


void CalculateWeights(NET* Net)
{
INT i,j,n;
INT Weight;

for (i=0; i<Net->Units; i++) {
  for (j=0; j<Net->Units; j++) {
    Weight = 0;
    if (i!=j) {
    for (n=0; n<NUM_DATA; n++) {
      Weight += Input[n] * Input[n][j];
    }
    }
    Net->Weight[j] = Weight;
  }
}
}


void SetInput(NET* Net, INT* Input)
{
INT i;
  
for (i=0; i<Net->Units; i++) {
  Net->Output = Input;
}
WriteNet(Net);
}


void GetOutput(NET* Net, INT* Output)
{
INT i;
  
for (i=0; i<Net->Units; i++) {
  Output = Net->Output;
}
WriteNet(Net);
}


/

/******************************************************************************
              S I M U L A T I N G   T H E   N E T
******************************************************************************/


void SimulateNet(NET* Net, INT* Input)
{
INT Output[N];
  
SetInput(Net, Input);
PropagateNet(Net);
GetOutput(Net, Output);
}


/******************************************************************************
                        M A I N
******************************************************************************/


void main()
{
NET Net;
INT n;

InitializeRandoms();
GenerateNetwork(&Net);
InitializeApplication(&Net);
CalculateWeights(&Net);
  
for (n=0; n<NUM_DATA; n++) {
  SimulateNet(&Net, Input[n]);
}
for (n=0; n<NUM_DATA; n++) {
  SimulateNet(&Net, Input_[n]);
}
  
FinalizeApplication(&Net);
}