This is some C code, implementing a CharRNN network from scratch. Write the training code, printing the epoch and loss while training the model to reproduce the sentence “The quick brown fox jumps over the lazy frog”. 

Code:
```c 

#include <stdio.h> #include <stdlib.h> #include <math.h> #include <time.h>”>

#define HIDDEN_SIZE 100 #define VOCAB_SIZE 128 #define SEQ_LENGTH 25 #define LEARNING_RATE 1e-2 #define NUM_EPOCHS 1000 #define CLIP_VALUE 5

double Wxh[HIDDEN_SIZE][VOCAB_SIZE]; double Whh[HIDDEN_SIZE][HIDDEN_SIZE]; double Why[VOCAB_SIZE][HIDDEN_SIZE]; double bh[HIDDEN_SIZE]; double by[VOCAB_SIZE];

void initialize_parameters() { int i, j;


for (i = 0; i < HIDDEN_SIZE; ++i)
    for (j = 0; j < VOCAB_SIZE; ++j)
        Wxh[i][j] = ((double)rand() / (double)RAND_MAX) * 0.01;

for (i = 0; i < HIDDEN_SIZE; ++i)
    for (j = 0; j < HIDDEN_SIZE; ++j)
        Whh[i][j] = ((double)rand() / (double)RAND_MAX) * 0.01;

for (i = 0; i < VOCAB_SIZE; ++i)
    for (j = 0; j < HIDDEN_SIZE; ++j)
        Why[i][j] = ((double)rand() / (double)RAND_MAX) * 0.01;

for (i = 0; i < HIDDEN_SIZE; ++i)
    bh[i] = 0.0;

for (i = 0; i < VOCAB_SIZE; ++i)
    by[i] = 0.0;
}

void clip(double *array, int len) { for (int i = 0; i < len; ++i) array[i] = array[i] > CLIP_VALUE ? CLIP_VALUE : array[i] < -CLIP_VALUE ? -CLIP_VALUE : array[i]; }

double softmax(double *x, int size, int i) { int j; double sum_exp = 0.0; for (j = 0; j < size; ++j) { sum_exp += exp(x[j]); } return exp(x[i]) / sum_exp; }

void forward_pass(int *inputs, double *hprev, double *outputs, double hs[SEQ_LENGTH + 1][HIDDEN_SIZE], double xs[SEQ_LENGTH][VOCAB_SIZE]) { int t; for (t = 0; t < SEQ_LENGTH; ++t) { // Convert input to one-hot encoding for (int i = 0; i < VOCAB_SIZE; ++i) xs[t][i] = 0.0; xs[t][inputs[t]] = 1.0;


    // Update hidden state
    for (int i = 0; i < HIDDEN_SIZE; ++i) {
        hs[t + 1][i] = 0.0;
        for (int j = 0; j < VOCAB_SIZE; ++j)
            hs[t + 1][i] += Wxh[i][j] * xs[t][j];
        for (int j = 0; j < HIDDEN_SIZE; ++j)
            hs[t + 1][i] += Whh[i][j] * hs[t][j];
        hs[t + 1][i] += bh[i];
        hs[t + 1][i] = tanh(hs[t + 1][i]);
    }

    // Compute output scores
    for (int i = 0; i < VOCAB_SIZE; ++i) {
        outputs[i] = 0.0;
        for (int j = 0; j < HIDDEN_SIZE; ++j)
            outputs[i] += Why[i][j] * hs[t + 1][j];
        outputs[i] += by[i];
    }
}
}

void backward_pass(int *inputs, double *outputs, double hs[SEQ_LENGTH + 1][HIDDEN_SIZE], double xs[SEQ_LENGTH][VOCAB_SIZE], double *hprev, double dWxh[HIDDEN_SIZE][VOCAB_SIZE], double dWhh[HIDDEN_SIZE][HIDDEN_SIZE], double dWhy[VOCAB_SIZE][HIDDEN_SIZE], double dbh[HIDDEN_SIZE], double dby[VOCAB_SIZE]) { double dhs[HIDDEN_SIZE] = {0.0}; double dys[VOCAB_SIZE] = {0.0}; double dhprev[HIDDEN_SIZE] = {0.0}; double dh[HIDDEN_SIZE] = {0.0}; double dy[VOCAB_SIZE];


// Backward pass through time
for (int t = SEQ_LENGTH - 1; t >= 0; --t) {
    for (int i = 0; i < VOCAB_SIZE; ++i) {
        dy[i] = outputs[i];
        dy[i] -= (i == inputs[t]) ? 1 : 0; // Cross-entropy loss gradient
    }

    // Output layer gradients
    for (int i = 0; i < VOCAB_SIZE; ++i) {
        for (int j = 0; j < HIDDEN_SIZE; ++j) {
            dWhy[i][j] += dy[i] * hs[t + 1][j];
        }
        dby[i] += dy[i];
    }

    // Hidden layer gradients
    for (int i = 0; i < HIDDEN_SIZE; ++i) {
        for (int j = 0; j < VOCAB_SIZE; ++j) {
            dh[i] += Why[j][i] * dy[j];
        }
        dh[i] *= (1 - pow(tanh(hs[t + 1][i]), 2)); // tanh derivative
    }

    // Update hidden state gradients
    for (int i = 0; i < HIDDEN_SIZE; ++i) {
        for (int j = 0; j < VOCAB_SIZE; ++j) {
            dWxh[i][j] += dh[i] * xs[t][j];
        }
        for (int j = 0; j < HIDDEN_SIZE; ++j) {
            dWhh[i][j] += dh[i] * hs[t][j];
        }
        dbh[i] += dh[i];
    }

    // Previous hidden state gradient
    for (int i = 0; i < HIDDEN_SIZE; ++i) {
        dhprev[i] = 0.0;
        for (int j = 0; j < HIDDEN_SIZE; ++j) {
            dhprev[i] += Whh[i][j] * dh[j];
        }
    }
}
}

int main(void) { 
srand(time(0));

initialize_parameters();

// Example forward pass with random inputs
int inputs[SEQ_LENGTH];
double hprev[HIDDEN_SIZE] = {0.0};
double outputs[VOCAB_SIZE];
double hs[SEQ_LENGTH + 1][HIDDEN_SIZE];
double xs[SEQ_LENGTH][VOCAB_SIZE];

for (int i = 0; i < SEQ_LENGTH; ++i)
    inputs[i] = rand() % VOCAB_SIZE;

forward_pass(inputs, hprev, outputs, hs, xs);

// Backward pass
double dWxh[HIDDEN_SIZE][VOCAB_SIZE] = {0.0};
double dWhh[HIDDEN_SIZE][HIDDEN_SIZE] = {0.0};
double dWhy[VOCAB_SIZE][HIDDEN_SIZE] = {0.0};
double dbh[HIDDEN_SIZE] = {0.0};
double dby[VOCAB_SIZE] = {0.0};

backward_pass(inputs, outputs, hs, xs, hprev, dWxh, dWhh, dWhy, dbh, dby);

// Continue with parameter updates and training loop…
return 0;

}

```