void av1_nn_output_prec_reduce(float *const output, int num_output) { const int prec_bits = 9; const int prec = 1 << prec_bits; const float inv_prec = (float)(1.0 / prec);
for (int i = 0; i < num_output; i++) {
output[i] = ((int)(output[i] * prec + 0.5)) * inv_prec;
}
}
// Calculate prediction based on the given input features and neural net config. // Assume there are no more than NN_MAX_NODES_PER_LAYER nodes in each hidden // layer. void av1_nn_predict_c(const float *input_nodes, const NN_CONFIG *const nn_config, int reduce_prec,
float *const output) {
int num_input_nodes = nn_config->num_inputs;
int buf_index = 0;
float buf[2][NN_MAX_NODES_PER_LAYER];
// Propagate hidden layers. const int num_layers = nn_config->num_hidden_layers;
assert(num_layers <= NN_MAX_HIDDEN_LAYERS);
for (int layer = 0; layer < num_layers; ++layer) { const float *layer_weights = nn_config->weights[layer]; const float *layer_bias = nn_config->bias[layer];
float *output_nodes = buf[buf_index]; const int num_output_nodes = nn_config->num_hidden_nodes[layer];
assert(num_output_nodes < NN_MAX_NODES_PER_LAYER);
for (int node = 0; node < num_output_nodes; ++node) {
float val = layer_bias[node];
for (int i = 0; i < num_input_nodes; ++i)
val += layer_weights[node * num_input_nodes + i] * input_nodes[i]; // ReLU as activation function.
val = val > 0.0f ? val : 0.0f; // Could use AOMMAX().
output_nodes[node] = val;
}
num_input_nodes = num_output_nodes;
input_nodes = output_nodes;
buf_index = 1 - buf_index;
}
// Final output layer. const float *layer_weights = nn_config->weights[num_layers]; const float *layer_bias = nn_config->bias[num_layers];
for (int node = 0; node < nn_config->num_outputs; ++node) {
float val = layer_bias[node];
for (int i = 0; i < num_input_nodes; ++i)
val += layer_weights[node * num_input_nodes + i] * input_nodes[i];
output[node] = val;
}
if (reduce_prec) av1_nn_output_prec_reduce(output, nn_config->num_outputs);
}
#if CONFIG_NN_V2 // Applies the ReLu activation to one fc layer // output[i] = Max(input[i],0.0f) static float *nn_relu(const float *input, FC_LAYER *layer) {
for (int i = 0; i < layer->num_outputs; ++i) {
layer->output[i] = AOMMAX(input[i], 0.0f);
}
return layer->output;
}
// Applies the Sigmoid activation to one fc layer // output[i] = 1/(1+exp(input[i])) static float *nn_sigmoid(const float *input, FC_LAYER *layer) {
for (int i = 0; i < layer->num_outputs; ++i) { const float tmp = AOMMIN(AOMMAX(input[i], -10.0f), 10.0f);
layer->output[i] = 1.0f / (1.0f + expf(-tmp));
}
return layer->output;
}
// Forward prediction in one fc layer, used in function av1_nn_predict_V2 static float *nn_fc_forward(const float *input, FC_LAYER *layer) { const float *weights = layer->weights; const float *bias = layer->bias;
assert(layer->num_outputs < NN_MAX_NODES_PER_LAYER); // fc
for (int node = 0; node < layer->num_outputs; ++node) {
float val = bias[node];
for (int i = 0; i < layer->num_inputs; ++i) val += weights[i] * input[i];
layer->output[node] = val;
weights += layer->num_inputs;
}
// activation switch (layer->activation) { case NONE: return layer->output; case RELU: return nn_relu(layer->output, layer); case SIGMOID: return nn_sigmoid(layer->output, layer); case SOFTSIGN:
assert(0 && "Softsign has not been supported in NN."); // TO DO return NULL; default:
assert(0 && "Unknown activation"); // Unknown activation return NULL;
}
}
// Propagate the layers. const int num_layers = nn_config->num_hidden_layers;
assert(num_layers <= NN_MAX_HIDDEN_LAYERS);
for (int i = 0; i < num_layers; ++i) {
input_nodes = nn_fc_forward(input_nodes, nn_config->layer + i);
assert(nn_config->layer[i + 1].num_inputs ==
nn_config->layer[i].num_outputs);
}
// Final layer
input_nodes = nn_fc_forward(input_nodes, nn_config->layer + num_layers);
assert(nn_config->layer[num_layers].num_outputs == nn_config->num_logits); // Copy the final layer output
memcpy(output, input_nodes, sizeof(*input_nodes) * nn_config->num_logits);
if (reduce_prec) av1_nn_output_prec_reduce(output, nn_config->num_logits);
} #endif// CONFIG_NN_V2
void av1_nn_softmax(const float *input, float *output, int n) { // Softmax function is invariant to adding the same constant // to all input values, so we subtract the maximum input to avoid // possible overflow.
float max_input = input[0];
for (int i = 1; i < n; i++) max_input = AOMMAX(max_input, input[i]);
float sum_out = 0.0f;
for (int i = 0; i < n; i++) { // Clamp to range [-10.0, 0.0] to prevent FE_UNDERFLOW errors. const float normalized_input = AOMMAX(input[i] - max_input, -10.0f);
output[i] = expf(normalized_input);
sum_out += output[i];
}
for (int i = 0; i < n; i++) output[i] /= sum_out;
}
void av1_nn_fast_softmax_16_c(const float *input, float *output) { const int kNumClasses = 16;
float max_input = input[0];
for (int i = 1; i < kNumClasses; i++) max_input = AOMMAX(max_input, input[i]);
float sum_out = 0.0f;
for (int i = 0; i < kNumClasses; i++) { // Clamp to range [-10.0, 0.0] to prevent FE_UNDERFLOW errors. const float normalized_input = AOMMAX(input[i] - max_input, -10.0f);
output[i] = approx_exp(normalized_input);
sum_out += output[i];
}
for (int i = 0; i < kNumClasses; i++) output[i] /= sum_out;
}
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