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/*
* Copyright (c) 2018, Alliance for Open Media. All rights reserved
*
* This source code is subject to the terms of the BSD 2 Clause License and
* the Alliance for Open Media Patent License 1.0. If the BSD 2 Clause License
* was not distributed with this source code in the LICENSE file, you can
* obtain it at www.aomedia.org/license/software. If the Alliance for Open
* Media Patent License 1.0 was not distributed with this source code in the
* PATENTS file, you can obtain it at www.aomedia.org/license/patent.
*/
#include <stdbool.h>
#include <assert.h>
#include <pmmintrin.h>
#include "config/av1_rtcd.h"
#include "av1/encoder/ml.h"
// In order to avoid the high-latency of swapping between FPU and SIMD
// operations, we keep the result in a 128-bit register even though we only
// care about a single value.
static void nn_propagate_8to1(const float *const inputs,
const float *const weights,
__m128 *const output) {
const __m128 inputs_h = _mm_loadu_ps(&inputs[4]);
const __m128 inputs_l = _mm_loadu_ps(inputs);
const __m128 weights_h = _mm_loadu_ps(&weights[4]);
const __m128 weights_l = _mm_loadu_ps(weights);
const __m128 mul_h = _mm_mul_ps(inputs_h, weights_h);
const __m128 mul_l = _mm_mul_ps(inputs_l, weights_l);
// [7 6 5 4] [3 2 1 0] (weight and input indices)
const __m128 vadd = _mm_add_ps(mul_l, mul_h);
// [7+3 6+2 5+1 4+0]
const __m128 hadd1 = _mm_hadd_ps(vadd, vadd);
// [7+6+3+2 5+4+1+0 7+6+3+2 5+4+1+0]
const __m128 hadd2 = _mm_hadd_ps(hadd1, hadd1);
// [7+6+5+4+3+2+1+0 7+6+5+4+3+2+1+0 7+6+5+4+3+2+1+0 7+6+5+4+3+2+1+0]
*output = _mm_add_ps(*output, hadd2);
}
static void nn_propagate_4to1(const float *const inputs,
const float *const weights,
__m128 *const output) {
const __m128 inputs128 = _mm_loadu_ps(inputs);
const __m128 weights128 = _mm_loadu_ps(weights);
const __m128 mul = _mm_mul_ps(inputs128, weights128);
// [3 2 1 0] (weight and input indices)
const __m128 hadd1 = _mm_hadd_ps(mul, mul);
// [3+2 1+0 3+2 1+0]
const __m128 hadd2 = _mm_hadd_ps(hadd1, hadd1);
// [3+2+1+0 3+2+1+0 3+2+1+0 3+2+1+0]
*output = _mm_add_ps(*output, hadd2);
}
static void nn_propagate_4to4(const float *const inputs,
const float *const weights, __m128 *const outputs,
const int num_inputs) {
const __m128 inputs128 = _mm_loadu_ps(inputs);
__m128 hadd[2];
for (int i = 0; i < 2; i++) { // For each pair of outputs
const __m128 weight0 = _mm_loadu_ps(&weights[2 * i * num_inputs]);
const __m128 mul0 = _mm_mul_ps(weight0, inputs128);
const __m128 weight1 = _mm_loadu_ps(&weights[(2 * i + 1) * num_inputs]);
const __m128 mul1 = _mm_mul_ps(weight1, inputs128);
hadd[i] = _mm_hadd_ps(mul0, mul1);
}
// hadd[0] = [7+6 5+4 3+2 1+0] (weight indices)
// hadd[1] = [15+14 13+12 11+10 9+8]
const __m128 hh = _mm_hadd_ps(hadd[0], hadd[1]);
// [15+14+13+12 11+10+9+8 7+6+5+4 3+2+1+0]
*outputs = _mm_add_ps(*outputs, hh);
}
static void nn_propagate_4to8(const float *const inputs,
const float *const weights, __m128 *const out_h,
__m128 *const out_l, const int num_inputs) {
const __m128 inputs128 = _mm_loadu_ps(inputs);
__m128 hadd[4];
for (int i = 0; i < 4; i++) { // For each pair of outputs
const __m128 weight0 = _mm_loadu_ps(&weights[2 * i * num_inputs]);
const __m128 weight1 = _mm_loadu_ps(&weights[(2 * i + 1) * num_inputs]);
const __m128 mul0 = _mm_mul_ps(inputs128, weight0);
const __m128 mul1 = _mm_mul_ps(inputs128, weight1);
hadd[i] = _mm_hadd_ps(mul0, mul1);
}
// hadd[0] = [7+6 5+4 3+2 1+0] (weight indices)
// hadd[1] = [15+14 13+12 11+10 9+8]
// hadd[2] = [23+22 21+20 19+18 17+16]
// hadd[3] = [31+30 29+28 27+26 25+24]
const __m128 hh0 = _mm_hadd_ps(hadd[0], hadd[1]);
// [15+14+13+12 11+10+9+8 7+6+5+4 3+2+1+0]
const __m128 hh1 = _mm_hadd_ps(hadd[2], hadd[3]);
// [31+30+29+28 27+26+25+24 23+22+21+20 19+18+17+16]
*out_h = _mm_add_ps(*out_h, hh1);
*out_l = _mm_add_ps(*out_l, hh0);
}
static void nn_propagate_8to4(const float *const inputs,
const float *const weights, __m128 *const outputs,
const int num_inputs) {
const __m128 inputs_h = _mm_loadu_ps(inputs + 4);
const __m128 inputs_l = _mm_loadu_ps(inputs);
// [7 6 5 4] [3 2 1 0] (input indices)
__m128 add[4];
for (int i = 0; i < 4; i++) { // For each output:
const __m128 weight_h = _mm_loadu_ps(&weights[i * num_inputs + 4]);
const __m128 weight_l = _mm_loadu_ps(&weights[i * num_inputs]);
const __m128 mul_h = _mm_mul_ps(inputs_h, weight_h);
const __m128 mul_l = _mm_mul_ps(inputs_l, weight_l);
add[i] = _mm_add_ps(mul_l, mul_h);
}
// add[0] = [7+3 6+2 5+1 4+0]
// add[1] = [15+11 14+10 13+9 12+8]
// add[2] = [23+19 22+18 21+17 20+16]
// add[3] = [31+27 30+26 29+25 28+24]
const __m128 hadd_h = _mm_hadd_ps(add[2], add[3]);
// [31+30+27+26 29+28+25+24 23+22+19+18 21+20+17+16]
const __m128 hadd_l = _mm_hadd_ps(add[0], add[1]);
// [15+14+11+10 13+12+9+8 7+6+3+2 5+4+1+0]
const __m128 haddhadd = _mm_hadd_ps(hadd_l, hadd_h);
// [31+30+29+28+27+26+25+24 23+22+21+20+19+18+17+16
// 15+14+13+12+11+10+9+8 7+6+5+4+3+2+1+0]
*outputs = _mm_add_ps(*outputs, haddhadd);
}
static void nn_activate8(__m128 *out_h, __m128 *out_l) {
const __m128 zero = _mm_setzero_ps();
*out_h = _mm_max_ps(*out_h, zero);
*out_l = _mm_max_ps(*out_l, zero);
}
static void nn_activate4(__m128 *x) { *x = _mm_max_ps(*x, _mm_setzero_ps()); }
// 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_sse3(const float *input_nodes,
const NN_CONFIG *const nn_config, int reduce_prec,
float *const output) {
float buf[2][NN_MAX_NODES_PER_LAYER];
int buf_index = 0;
int num_inputs = nn_config->num_inputs;
// Hidden layers, except the final iteration is the output layer.
for (int layer = 0; layer <= nn_config->num_hidden_layers; layer++) {
const float *layer_weights = nn_config->weights[layer];
const float *layer_bias = nn_config->bias[layer];
bool output_layer = (layer == nn_config->num_hidden_layers);
float *const output_nodes = output_layer ? output : &buf[buf_index][0];
const int num_outputs = output_layer ? nn_config->num_outputs
: nn_config->num_hidden_nodes[layer];
if (num_inputs % 4 == 0 && num_outputs % 8 == 0) {
for (int out = 0; out < num_outputs; out += 8) {
__m128 out_h = _mm_loadu_ps(&layer_bias[out + 4]);
__m128 out_l = _mm_loadu_ps(&layer_bias[out]);
for (int in = 0; in < num_inputs; in += 4) {
nn_propagate_4to8(&input_nodes[in],
&layer_weights[out * num_inputs + in], &out_h,
&out_l, num_inputs);
}
if (!output_layer) nn_activate8(&out_h, &out_l);
_mm_storeu_ps(&output_nodes[out + 4], out_h);
_mm_storeu_ps(&output_nodes[out], out_l);
}
} else if (num_inputs % 8 == 0 && num_outputs % 4 == 0) {
for (int out = 0; out < num_outputs; out += 4) {
__m128 outputs = _mm_loadu_ps(&layer_bias[out]);
for (int in = 0; in < num_inputs; in += 8) {
nn_propagate_8to4(&input_nodes[in],
&layer_weights[out * num_inputs + in], &outputs,
num_inputs);
}
if (!output_layer) nn_activate4(&outputs);
_mm_storeu_ps(&output_nodes[out], outputs);
}
} else if (num_inputs % 4 == 0 && num_outputs % 4 == 0) {
for (int out = 0; out < num_outputs; out += 4) {
__m128 outputs = _mm_loadu_ps(&layer_bias[out]);
for (int in = 0; in < num_inputs; in += 4) {
nn_propagate_4to4(&input_nodes[in],
&layer_weights[out * num_inputs + in], &outputs,
num_inputs);
}
if (!output_layer) nn_activate4(&outputs);
_mm_storeu_ps(&output_nodes[out], outputs);
}
} else if (num_inputs % 8 == 0) {
for (int out = 0; out < num_outputs; out++) {
__m128 total = _mm_load1_ps(&layer_bias[out]);
for (int in = 0; in < num_inputs; in += 8) {
nn_propagate_8to1(&input_nodes[in],
&layer_weights[out * num_inputs + in], &total);
}
if (!output_layer) nn_activate4(&total);
output_nodes[out] = _mm_cvtss_f32(total);
}
} else if (num_inputs % 4 == 0) {
for (int out = 0; out < num_outputs; out++) {
__m128 total = _mm_load1_ps(&layer_bias[out]);
for (int in = 0; in < num_inputs; in += 4) {
nn_propagate_4to1(&input_nodes[in],
&layer_weights[out * num_inputs + in], &total);
}
if (!output_layer) nn_activate4(&total);
output_nodes[out] = _mm_cvtss_f32(total);
}
} else {
// Use SSE instructions for scalar operations to avoid the latency of
// swapping between SIMD and FPU modes.
for (int out = 0; out < num_outputs; out++) {
__m128 total = _mm_load1_ps(&layer_bias[out]);
for (int in_node = 0; in_node < num_inputs; in_node++) {
__m128 input = _mm_load1_ps(&input_nodes[in_node]);
__m128 weight =
_mm_load1_ps(&layer_weights[num_inputs * out + in_node]);
total = _mm_add_ps(total, _mm_mul_ps(input, weight));
}
if (!output_layer) nn_activate4(&total);
output_nodes[out] = _mm_cvtss_f32(total);
}
}
input_nodes = output_nodes;
num_inputs = num_outputs;
buf_index = 1 - buf_index;
}
if (reduce_prec) av1_nn_output_prec_reduce(output, nn_config->num_outputs);
}
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