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fixed-back.c
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fixed-back.c
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#include <stdio.h>
#include <stdlib.h>
#include <math.h>
#include <time.h>
#include <mad.h>
#define num_cycle 3000
#define num_train 1500
#define num_inp 2
#define num_hid 4
#define num_out 1
#define eta 0.5
#define alpha 0.2
#define train_file "test.txt"
#define weight_file "pwm.wei"
#define mse_file "pwm.mes"
const mad_fixed_t F_POS_ONE = mad_f_tofixed((float)1.0);
const mad_fixed_t F_POS_TWO = mad_f_tofixed((float)2.0);
const mad_fixed_t F_NEG_ONE = mad_f_tofixed((float)-1.0);
const mad_fixed_t F_ZERO = mad_f_tofixed((float)0.0);
const mad_fixed_t F_POS_RDDO = mad_f_tofixed((float)0.5);
const mad_fixed_t F_NEG_RDDO = mad_f_tofixed((float)-0.5);
const mad_fixed_t F_ALPHA = mad_f_tofixed((float)alpha);
const mad_fixed_t F_ETA = mad_f_tofixed((float)eta);
const mad_fixed_t F_NEG_ETA = mad_f_tofixed((float)-eta);
float parser(FILE *fp)
{
char c;
char str[50], *p;
float res;
do {
c = fgetc(fp);
} while (c == '\t' || c == '\r' || c == ' ' || c == '\n');
p = str;
*p++ = c;
do {
c = fgetc(fp);
*p++ = c;
} while (c != '\t' && c != '\r' && c != ' ' && c != '\n');
p--;
*p = '\0';
res = atof(str);
return res;
}
mad_fixed_t random_value(void)
{
mad_fixed_t result;
float tmp = (rand()/(RAND_MAX+1.0))-0.5;
result = mad_f_tofixed(tmp);
return result;
}
int main(int argc, char* argv[])
{
FILE *fp1;
FILE *fp2;
FILE *fp3;
mad_fixed_t X[num_inp], T[num_out], H[num_hid], Y[num_out];
mad_fixed_t W_xh[num_inp][num_hid], W_hy[num_hid][num_out];
mad_fixed_t dW_xh[num_inp][num_hid], dW_hy[num_hid][num_out];
mad_fixed_t Q_h[num_hid], Q_y[num_out];
mad_fixed_t dQ_h[num_hid], dQ_y[num_out];
mad_fixed_t delta_h[num_hid], delta_y[num_out];
mad_fixed_t sum, mse;
int Icycle, Itrain;
int i, j, h;
fp1 = fopen(train_file, "r");
fp2 = fopen(weight_file, "w");
fp3 = fopen(mse_file, "w");
if (fp1 == NULL) {
puts("File not exist !!");
getchar();
exit(1);
}
srand((int)time(0));
for (h = 0; h < num_hid; h++) {
for (i = 0; i < num_inp; i++) {
W_xh[i][h] = random_value();
dW_xh[i][h] = F_ZERO;
}
}
for (j = 0; j <= num_out; j++) {
for (h = 0; h < num_hid; h++) {
W_hy[h][j] = random_value();
dW_hy[h][j] = F_ZERO;
}
}
for (h = 0; h < num_hid; h++) {
Q_h[h] = F_ZERO;
dQ_h[h] = F_ZERO;
delta_h[h] = F_ZERO;
}
for (j = 0; j < num_out; j++) {
Q_y[j] = random_value();
dQ_y[j] = F_ZERO;
delta_y[j] = F_ZERO;
}
/*start learning */
float tmp;
for (Icycle = 0; Icycle < num_cycle; Icycle++) {
mse = F_ZERO;
fseek(fp1, 0, 0);
for (Itrain = 0; Itrain < num_train; Itrain++) {
for (i = 0; i < num_inp; i++) {
tmp = parser(fp1);
X[i] = mad_f_tofixed(tmp);
}
for (j = 0; j < num_out; j++) {
tmp = parser(fp1);
T[j]= mad_f_tofixed(tmp);
}
for (h = 0; h < num_hid; h++) {
sum = F_ZERO;
for (i = 0; i < num_inp; i++) {
sum = mad_f_add(sum, mad_f_mul(X[i], W_xh[i][h]));
}
/* H[h] = (float)1.0 / (1.0 + exp(-(sum - Q_h[h]))); */
tmp = exp(-1.0 * mad_f_todouble(mad_f_sub(sum, Q_h[h])));
mad_fixed_t exp_result = mad_f_tofixed(tmp);
H[h] = mad_f_div(F_POS_ONE, mad_f_add(F_POS_ONE, exp_result));
}
for (j = 0; j < num_out; j++) {
sum = F_ZERO;
for (h = 0; h < num_hid; h++) {
sum = mad_f_add(sum, mad_f_mul(H[h], W_hy[h][j]));
}
/* Y[j] = (float)1.0 / (1.0 + exp(-(sum - Q_y[j]))); */
tmp = exp(-1.0 * mad_f_todouble(mad_f_sub(sum, Q_y[j])));
mad_fixed_t exp_result = mad_f_tofixed(tmp);
Y[j] = mad_f_div(F_POS_ONE, mad_f_add(F_POS_ONE, exp_result));
}
for (j = 0; j < num_out; j++) {
/* delta_y[j] = Y[j] * (1.0 - Y[j]) * (T[j] - Y[j]); */
mad_fixed_t first, second, third;
first = Y[j];
second = mad_f_sub(F_POS_ONE, Y[j]);
third = mad_f_sub(T[j], Y[j]);
delta_y[j] = mad_f_mul(mad_f_mul(first, second), third);
}
for (h = 0; h < num_hid; h++) {
sum = F_ZERO;
for (j = 0; j < num_out; j++) {
/* sum = sum + W_hy[h][j] * delta_y[j]; */
sum = mad_f_add(sum, mad_f_mul(W_hy[h][j], delta_y[j]));
}
/* delta_h[h] = H[h] * (1.0 - H[h]) * sum; */
mad_fixed_t first, second, third;
first = H[h];
second = mad_f_sub(F_POS_ONE, H[h]);
third = sum;
delta_h[h] = mad_f_mul(mad_f_mul(first, second), sum);
}
for (j = 0; j < num_out; j++) {
for (h = 0; h < num_hid; h++) {
/* dW_hy[h][j] = eta * delta_y[j] * H[h] + alpha * dW_hy[h][j]; */
mad_fixed_t first, second;
first = mad_f_mul(mad_f_mul(F_ETA, delta_y[j]), H[h]);
second = mad_f_mul(F_ALPHA, dW_hy[h][j]);
dW_hy[h][j] = mad_f_add(first, second);
}
}
for (j = 0; j < num_out; j++) {
/* dQ_y[j] = -eta * delta_y[j] + alpha * dQ_y[j]; */
mad_fixed_t first, second;
first = mad_f_mul(F_NEG_ETA, delta_y[j]);
second = mad_f_mul(F_ALPHA, dQ_y[j]);
dQ_y[j] = mad_f_add(first, second);
}
for (h = 0; h < num_hid; h++) {
for (i = 0; i < num_inp; i++) {
/* dW_xh[i][h] = eta * delta_h[h] * X[i] + alpha * dW_xh[i][h]; */
mad_fixed_t first, second;
first = mad_f_mul(X[i], mad_f_mul(F_ETA, delta_h[h]));
second = mad_f_mul(F_ALPHA, dW_xh[i][h]);
dW_xh[i][h] = mad_f_add(first, second);
}
}
for (h = 0; h < num_hid; h++) {
/* dQ_h[h] = -eta * delta_h[h] + alpha * dQ_h[h]; */
mad_fixed_t first, second;
first = mad_f_mul(F_NEG_ETA, delta_h[h]);
second = mad_f_mul(F_ALPHA, dQ_h[h]);
dQ_h[h] = mad_f_add(first, second);
}
for (j = 0; j < num_out; j++) {
for (h = 0; h < num_hid; h++) {
/* W_hy[h][j] = W_hy[h][j] + dW_hy[h][j]; */
tmp = mad_f_todouble(W_hy[h][j]);
W_hy[h][j] = mad_f_add(W_hy[h][j], dW_hy[h][j]);
}
}
for (j = 0; j < num_out; j++) {
/* Q_y[j] = Q_y[j] + dQ_y[j]; */
Q_y[j] = mad_f_add(Q_y[j], dQ_y[j]);
}
for (h = 0; h < num_hid; h++) {
for (i = 0; i < num_inp; i++) {
/* W_xh[i][h] = W_xh[i][h] + dW_xh[i][h]; */
W_xh[i][h] = mad_f_add(W_xh[i][h], dW_xh[i][h]);
}
}
for (h = 0; h < num_hid; h++) {
/* Q_h[h] = Q_h[h] + dQ_h[h]; */
Q_h[h] = mad_f_add(Q_h[h], dQ_h[h]);
}
for (j = 0; j < num_out; j++) {
/* mse += (T[j] - Y[j]) * (T[j] - Y[j]); */
mad_fixed_t first, second;
first = mad_f_sub(T[j], Y[j]);
second = mad_f_sub(T[j], Y[j]);
mse = mad_f_add(mse, mad_f_mul(first, second));
}
}
/* mse = mse / num_train; */
mse = mad_f_div(mse, mad_f_tofixed(num_train));
if ((Icycle % 10) == 9) {
printf("\nIcycle=%3d \nmse=%-8.6f\n", Icycle, mad_f_todouble(mse));
fprintf(fp3,"%3d \n%-8.6f\n", Icycle, mad_f_todouble(mse));
}
}
printf("\n");
for (h = 0; h < num_hid; h++) {
for (i = 0; i < num_inp; i++) {
printf("W_xh[%2d][%2d]=%-8.4f\t", i, h, mad_f_todouble(W_xh[i][h]));
fprintf(fp2,"%-8.4f\t", mad_f_todouble(W_xh[i][h]));
}
printf("\n");
fprintf(fp2,"\n");
}
printf("\n");
fprintf(fp2,"\n");
for (j = 0; j < num_out; j++) {
for (h = 0; h < num_hid; h++) {
printf("W_hy[%2d][%2d]=%-8.4f\t", h, j, mad_f_todouble(W_hy[h][j]));
fprintf(fp2,"%-8.4f\t", mad_f_todouble(W_hy[h][j]));
}
printf("\n");
fprintf(fp2,"\n");
}
printf("\n");
fprintf(fp2,"\n");
for (h = 0; h < num_hid; h++) {
printf("Q_h[%2d]=%-8.4f\t", h, mad_f_todouble(Q_h[h]));
fprintf(fp2,"%-8.4f\t", mad_f_todouble(Q_h[h]));
}
printf("\n\n");
fprintf(fp2,"\n\n");
for (j = 0; j < num_out; j++) {
printf("Q_y[%2d]=%-8.4f\t", j, mad_f_todouble(Q_y[j]));
fprintf(fp2,"%-8.4f\t", mad_f_todouble(Q_y[j]));
}
printf("\n\n");
fprintf(fp2,"\n\n");
fclose(fp1);
fclose(fp2);
fclose(fp3);
return 0;
}