#include "blas.h"
#include "utils.h"
#include <math.h>
#include <assert.h>
#include <float.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
void reorg_cpu(float *x, int out_w, int out_h, int out_c, int batch, int stride, int forward, float *out)
{
int b,i,j,k;
int in_c = out_c/(stride*stride);
for(b = 0; b < batch; ++b){
for(k = 0; k < out_c; ++k){
for(j = 0; j < out_h; ++j){
for(i = 0; i < out_w; ++i){
int in_index = i + out_w*(j + out_h*(k + out_c*b));
int c2 = k % in_c;
int offset = k / in_c;
int w2 = i*stride + offset % stride;
int h2 = j*stride + offset / stride;
int out_index = w2 + out_w*stride*(h2 + out_h*stride*(c2 + in_c*b));
if(forward) out[out_index] = x[in_index]; else out[in_index] = x[out_index];
}
}
}
}
}
void flatten(float *x, int size, int layers, int batch, int forward)
{
float* swap = (float*)xcalloc(size * layers * batch, sizeof(float));
int i,c,b;
for(b = 0; b < batch; ++b){
for(c = 0; c < layers; ++c){
for(i = 0; i < size; ++i){
int i1 = b*layers*size + c*size + i;
int i2 = b*layers*size + i*layers + c;
if (forward) swap[i2] = x[i1];
else swap[i1] = x[i2];
}
}
}
memcpy(x, swap, size*layers*batch*sizeof(float));
free(swap);
}
void weighted_sum_cpu(float *a, float *b, float *s, int n, float *c)
{
int i;
for(i = 0; i < n; ++i){
c[i] = s[i]*a[i] + (1-s[i])*(b ? b[i] : 0);
}
}
void weighted_delta_cpu(float *a, float *b, float *s, float *da, float *db, float *ds, int n, float *dc)
{
int i;
for(i = 0; i < n; ++i){
if(da) da[i] += dc[i] * s[i];
if(db) db[i] += dc[i] * (1-s[i]);
ds[i] += dc[i] * (a[i] - b[i]);
}
}
static float relu(float src) {
if (src > 0) return src;
return 0;
}
void shortcut_multilayer_cpu(int size, int src_outputs, int batch, int n, int *outputs_of_layers, float **layers_output, float *out, float *in, float *weights, int nweights, WEIGHTS_NORMALIZATION_T weights_normalization)
{
const int layer_step = nweights / (n + 1); int step = 0;
if (nweights > 0) step = src_outputs / layer_step;
int id;
#pragma omp parallel for
for (id = 0; id < size; ++id) {
int src_id = id;
const int src_i = src_id % src_outputs;
src_id /= src_outputs;
int src_b = src_id;
float sum = 1, max_val = -FLT_MAX;
int i;
if (weights && weights_normalization) {
if (weights_normalization == SOFTMAX_NORMALIZATION) {
for (i = 0; i < (n + 1); ++i) {
const int weights_index = src_i / step + i*layer_step; float w = weights[weights_index];
if (max_val < w) max_val = w;
}
}
const float eps = 0.0001;
sum = eps;
for (i = 0; i < (n + 1); ++i) {
const int weights_index = src_i / step + i*layer_step; const float w = weights[weights_index];
if (weights_normalization == RELU_NORMALIZATION) sum += relu(w);
else if (weights_normalization == SOFTMAX_NORMALIZATION) sum += expf(w - max_val);
}
}
if (weights) {
float w = weights[src_i / step];
if (weights_normalization == RELU_NORMALIZATION) w = relu(w) / sum;
else if (weights_normalization == SOFTMAX_NORMALIZATION) w = expf(w - max_val) / sum;
out[id] = in[id] * w; }
else out[id] = in[id];
for (i = 0; i < n; ++i) {
int add_outputs = outputs_of_layers[i];
if (src_i < add_outputs) {
int add_index = add_outputs*src_b + src_i;
int out_index = id;
float *add = layers_output[i];
if (weights) {
const int weights_index = src_i / step + (i + 1)*layer_step; float w = weights[weights_index];
if (weights_normalization == RELU_NORMALIZATION) w = relu(w) / sum;
else if (weights_normalization == SOFTMAX_NORMALIZATION) w = expf(w - max_val) / sum;
out[out_index] += add[add_index] * w; }
else out[out_index] += add[add_index];
}
}
}
}
void backward_shortcut_multilayer_cpu(int size, int src_outputs, int batch, int n, int *outputs_of_layers,
float **layers_delta, float *delta_out, float *delta_in, float *weights, float *weight_updates, int nweights, float *in, float **layers_output, WEIGHTS_NORMALIZATION_T weights_normalization)
{
const int layer_step = nweights / (n + 1); int step = 0;
if (nweights > 0) step = src_outputs / layer_step;
int id;
#pragma omp parallel for
for (id = 0; id < size; ++id) {
int src_id = id;
int src_i = src_id % src_outputs;
src_id /= src_outputs;
int src_b = src_id;
float grad = 1, sum = 1, max_val = -FLT_MAX;;
int i;
if (weights && weights_normalization) {
if (weights_normalization == SOFTMAX_NORMALIZATION) {
for (i = 0; i < (n + 1); ++i) {
const int weights_index = src_i / step + i*layer_step; float w = weights[weights_index];
if (max_val < w) max_val = w;
}
}
const float eps = 0.0001;
sum = eps;
for (i = 0; i < (n + 1); ++i) {
const int weights_index = src_i / step + i*layer_step; const float w = weights[weights_index];
if (weights_normalization == RELU_NORMALIZATION) sum += relu(w);
else if (weights_normalization == SOFTMAX_NORMALIZATION) sum += expf(w - max_val);
}
}
if (weights) {
float w = weights[src_i / step];
if (weights_normalization == RELU_NORMALIZATION) w = relu(w) / sum;
else if (weights_normalization == SOFTMAX_NORMALIZATION) w = expf(w - max_val) / sum;
delta_out[id] += delta_in[id] * w; weight_updates[src_i / step] += delta_in[id] * in[id] * grad;
}
else delta_out[id] += delta_in[id];
for (i = 0; i < n; ++i) {
int add_outputs = outputs_of_layers[i];
if (src_i < add_outputs) {
int add_index = add_outputs*src_b + src_i;
int out_index = id;
float *layer_delta = layers_delta[i];
if (weights) {
float *add = layers_output[i];
const int weights_index = src_i / step + (i + 1)*layer_step; float w = weights[weights_index];
if (weights_normalization == RELU_NORMALIZATION) w = relu(w) / sum;
else if (weights_normalization == SOFTMAX_NORMALIZATION) w = expf(w - max_val) / sum;
layer_delta[add_index] += delta_in[id] * w; weight_updates[weights_index] += delta_in[id] * add[add_index] * grad;
}
else layer_delta[add_index] += delta_in[id];
}
}
}
}
void shortcut_cpu(int batch, int w1, int h1, int c1, float *add, int w2, int h2, int c2, float *out)
{
int stride = w1/w2;
int sample = w2/w1;
assert(stride == h1/h2);
assert(sample == h2/h1);
if(stride < 1) stride = 1;
if(sample < 1) sample = 1;
int minw = (w1 < w2) ? w1 : w2;
int minh = (h1 < h2) ? h1 : h2;
int minc = (c1 < c2) ? c1 : c2;
int i,j,k,b;
for(b = 0; b < batch; ++b){
for(k = 0; k < minc; ++k){
for(j = 0; j < minh; ++j){
for(i = 0; i < minw; ++i){
int out_index = i*sample + w2*(j*sample + h2*(k + c2*b));
int add_index = i*stride + w1*(j*stride + h1*(k + c1*b));
out[out_index] += add[add_index];
}
}
}
}
}
void mean_cpu(float *x, int batch, int filters, int spatial, float *mean)
{
float scale = 1./(batch * spatial);
int i,j,k;
for(i = 0; i < filters; ++i){
mean[i] = 0;
for(j = 0; j < batch; ++j){
for(k = 0; k < spatial; ++k){
int index = j*filters*spatial + i*spatial + k;
mean[i] += x[index];
}
}
mean[i] *= scale;
}
}
void variance_cpu(float *x, float *mean, int batch, int filters, int spatial, float *variance)
{
float scale = 1./(batch * spatial - 1);
int i,j,k;
for(i = 0; i < filters; ++i){
variance[i] = 0;
for(j = 0; j < batch; ++j){
for(k = 0; k < spatial; ++k){
int index = j*filters*spatial + i*spatial + k;
variance[i] += pow((x[index] - mean[i]), 2);
}
}
variance[i] *= scale;
}
}
void normalize_cpu(float *x, float *mean, float *variance, int batch, int filters, int spatial)
{
int b, f, i;
for(b = 0; b < batch; ++b){
for(f = 0; f < filters; ++f){
for(i = 0; i < spatial; ++i){
int index = b*filters*spatial + f*spatial + i;
x[index] = (x[index] - mean[f])/(sqrt(variance[f] + .00001f));
}
}
}
}
void const_cpu(int N, float ALPHA, float *X, int INCX)
{
int i;
for(i = 0; i < N; ++i) X[i*INCX] = ALPHA;
}
void mul_cpu(int N, float *X, int INCX, float *Y, int INCY)
{
int i;
for(i = 0; i < N; ++i) Y[i*INCY] *= X[i*INCX];
}
void pow_cpu(int N, float ALPHA, float *X, int INCX, float *Y, int INCY)
{
int i;
for(i = 0; i < N; ++i) Y[i*INCY] = pow(X[i*INCX], ALPHA);
}
void axpy_cpu(int N, float ALPHA, float *X, int INCX, float *Y, int INCY)
{
int i;
for(i = 0; i < N; ++i) Y[i*INCY] += ALPHA*X[i*INCX];
}
void scal_cpu(int N, float ALPHA, float *X, int INCX)
{
int i;
for(i = 0; i < N; ++i) X[i*INCX] *= ALPHA;
}
void scal_add_cpu(int N, float ALPHA, float BETA, float *X, int INCX)
{
int i;
for (i = 0; i < N; ++i) X[i*INCX] = X[i*INCX] * ALPHA + BETA;
}
void fill_cpu(int N, float ALPHA, float *X, int INCX)
{
int i;
if (INCX == 1 && ALPHA == 0) {
memset(X, 0, N * sizeof(float));
}
else {
for (i = 0; i < N; ++i) X[i*INCX] = ALPHA;
}
}
void deinter_cpu(int NX, float *X, int NY, float *Y, int B, float *OUT)
{
int i, j;
int index = 0;
for(j = 0; j < B; ++j) {
for(i = 0; i < NX; ++i){
if(X) X[j*NX + i] += OUT[index];
++index;
}
for(i = 0; i < NY; ++i){
if(Y) Y[j*NY + i] += OUT[index];
++index;
}
}
}
void inter_cpu(int NX, float *X, int NY, float *Y, int B, float *OUT)
{
int i, j;
int index = 0;
for(j = 0; j < B; ++j) {
for(i = 0; i < NX; ++i){
OUT[index++] = X[j*NX + i];
}
for(i = 0; i < NY; ++i){
OUT[index++] = Y[j*NY + i];
}
}
}
void copy_cpu(int N, float *X, int INCX, float *Y, int INCY)
{
int i;
for(i = 0; i < N; ++i) Y[i*INCY] = X[i*INCX];
}
void mult_add_into_cpu(int N, float *X, float *Y, float *Z)
{
int i;
for(i = 0; i < N; ++i) Z[i] += X[i]*Y[i];
}
void smooth_l1_cpu(int n, float *pred, float *truth, float *delta, float *error)
{
int i;
for(i = 0; i < n; ++i){
float diff = truth[i] - pred[i];
float abs_val = fabs(diff);
if(abs_val < 1) {
error[i] = diff * diff;
delta[i] = diff;
}
else {
error[i] = 2*abs_val - 1;
delta[i] = (diff > 0) ? 1 : -1;
}
}
}
void l1_cpu(int n, float *pred, float *truth, float *delta, float *error)
{
int i;
for(i = 0; i < n; ++i){
float diff = truth[i] - pred[i];
error[i] = fabs(diff);
delta[i] = diff > 0 ? 1 : -1;
}
}
void softmax_x_ent_cpu(int n, float *pred, float *truth, float *delta, float *error)
{
int i;
for(i = 0; i < n; ++i){
float t = truth[i];
float p = pred[i];
error[i] = (t) ? -log(p) : 0;
delta[i] = t-p;
}
}
void logistic_x_ent_cpu(int n, float *pred, float *truth, float *delta, float *error)
{
int i;
for(i = 0; i < n; ++i){
float t = truth[i];
float p = pred[i];
error[i] = -t*log(p) - (1-t)*log(1-p);
delta[i] = t-p;
}
}
void l2_cpu(int n, float *pred, float *truth, float *delta, float *error)
{
int i;
for(i = 0; i < n; ++i){
float diff = truth[i] - pred[i];
error[i] = diff * diff;
delta[i] = diff;
}
}
float dot_cpu(int N, float *X, int INCX, float *Y, int INCY)
{
int i;
float dot = 0;
for(i = 0; i < N; ++i) dot += X[i*INCX] * Y[i*INCY];
return dot;
}
void softmax(float *input, int n, float temp, float *output, int stride)
{
int i;
float sum = 0;
float largest = -FLT_MAX;
for(i = 0; i < n; ++i){
if(input[i*stride] > largest) largest = input[i*stride];
}
for(i = 0; i < n; ++i){
float e = exp(input[i*stride]/temp - largest/temp);
sum += e;
output[i*stride] = e;
}
for(i = 0; i < n; ++i){
output[i*stride] /= sum;
}
}
void softmax_cpu(float *input, int n, int batch, int batch_offset, int groups, int group_offset, int stride, float temp, float *output)
{
int g, b;
for(b = 0; b < batch; ++b){
for(g = 0; g < groups; ++g){
softmax(input + b*batch_offset + g*group_offset, n, temp, output + b*batch_offset + g*group_offset, stride);
}
}
}
void upsample_cpu(float *in, int w, int h, int c, int batch, int stride, int forward, float scale, float *out)
{
int i, j, k, b;
for (b = 0; b < batch; ++b) {
for (k = 0; k < c; ++k) {
for (j = 0; j < h*stride; ++j) {
for (i = 0; i < w*stride; ++i) {
int in_index = b*w*h*c + k*w*h + (j / stride)*w + i / stride;
int out_index = b*w*h*c*stride*stride + k*w*h*stride*stride + j*w*stride + i;
if (forward) out[out_index] = scale*in[in_index];
else in[in_index] += scale*out[out_index];
}
}
}
}
}
void constrain_cpu(int size, float ALPHA, float *X)
{
int i;
for (i = 0; i < size; ++i) {
X[i] = fminf(ALPHA, fmaxf(-ALPHA, X[i]));
}
}
void fix_nan_and_inf_cpu(float *input, size_t size)
{
int i;
for (i = 0; i < size; ++i) {
float val = input[i];
if (isnan(val) || isinf(val))
input[i] = 1.0f / i; }
}
void get_embedding(float *src, int src_w, int src_h, int src_c, int embedding_size, int cur_w, int cur_h, int cur_n, int cur_b, float *dst)
{
int i;
for (i = 0; i < embedding_size; ++i) {
const int src_index = cur_b*(src_c*src_h*src_w) + cur_n*(embedding_size*src_h*src_w) + i*src_h*src_w + cur_h*(src_w) + cur_w;
const float val = src[src_index];
dst[i] = val;
}
}
float math_vector_length(float *A, unsigned int feature_size)
{
float sum = 0;
int i;
for (i = 0; i < feature_size; ++i)
{
sum += A[i] * A[i];
}
float vector_length = sqrtf(sum);
return vector_length;
}
float cosine_similarity(float *A, float *B, unsigned int feature_size)
{
float mul = 0.0, d_a = 0.0, d_b = 0.0;
int i;
for(i = 0; i < feature_size; ++i)
{
mul += A[i] * B[i];
d_a += A[i] * A[i];
d_b += B[i] * B[i];
}
float similarity;
float divider = sqrtf(d_a) * sqrtf(d_b);
if (divider > 0) similarity = mul / divider;
else similarity = 0;
return similarity;
}
int get_sim_P_index(size_t i, size_t j, contrastive_params *contrast_p, int contrast_p_size)
{
size_t z;
for (z = 0; z < contrast_p_size; ++z) {
if (contrast_p[z].i == i && contrast_p[z].j == j) break;
}
if (z == contrast_p_size) {
return -1; }
return z; }
int check_sim(size_t i, size_t j, contrastive_params *contrast_p, int contrast_p_size)
{
size_t z;
for (z = 0; z < contrast_p_size; ++z) {
if (contrast_p[z].i == i && contrast_p[z].j == j) break;
}
if (z == contrast_p_size) {
return 0; }
return 1; }
float find_sim(size_t i, size_t j, contrastive_params *contrast_p, int contrast_p_size)
{
size_t z;
for (z = 0; z < contrast_p_size; ++z) {
if (contrast_p[z].i == i && contrast_p[z].j == j) break;
}
if (z == contrast_p_size) {
printf(" Error: find_sim(): sim isn't found: i = %d, j = %d, z = %d \n", i, j, z);
getchar();
}
return contrast_p[z].sim;
}
float find_P_constrastive(size_t i, size_t j, contrastive_params *contrast_p, int contrast_p_size)
{
size_t z;
for (z = 0; z < contrast_p_size; ++z) {
if (contrast_p[z].i == i && contrast_p[z].j == j) break;
}
if (z == contrast_p_size) {
printf(" Error: find_P_constrastive(): P isn't found: i = %d, j = %d, z = %d \n", i, j, z);
getchar();
}
return contrast_p[z].P;
}
float P_constrastive_f_det(size_t il, int *labels, float **z, unsigned int feature_size, float temperature, contrastive_params *contrast_p, int contrast_p_size)
{
const float sim = contrast_p[il].sim;
const size_t i = contrast_p[il].i;
const size_t j = contrast_p[il].j;
const float numerator = expf(sim / temperature);
float denominator = 0;
int k;
for (k = 0; k < contrast_p_size; ++k) {
contrastive_params cp = contrast_p[k];
if (cp.i != i && cp.j == j) {
denominator += cp.exp_sim;
}
}
float result = 0.9999;
if (denominator != 0) result = numerator / denominator;
if (result > 1) result = 0.9999;
return result;
}
float P_constrastive_f(size_t i, size_t l, int *labels, float **z, unsigned int feature_size, float temperature, contrastive_params *contrast_p, int contrast_p_size)
{
if (i == l) {
fprintf(stderr, " Error: in P_constrastive must be i != l, while i = %d, l = %d \n", i, l);
getchar();
}
const float sim = find_sim(i, l, contrast_p, contrast_p_size); const float numerator = expf(sim / temperature);
float denominator = 0;
int k;
for (k = 0; k < contrast_p_size; ++k) {
contrastive_params cp = contrast_p[k];
if (cp.i != i && cp.j == l) {
denominator += cp.exp_sim;
}
}
float result = 0.9999;
if (denominator != 0) result = numerator / denominator;
if (result > 1) result = 0.9999;
return result;
}
void grad_contrastive_loss_positive_f(size_t i, int *class_ids, int *labels, size_t num_of_samples, float **z, unsigned int feature_size, float temperature, float *delta, int wh, contrastive_params *contrast_p, int contrast_p_size)
{
const float vec_len = math_vector_length(z[i], feature_size);
size_t j;
float N = 0;
for (j = 0; j < num_of_samples; ++j) {
if (labels[i] == labels[j] && labels[i] >= 0) N++;
}
if (N == 0 || temperature == 0 || vec_len == 0) {
fprintf(stderr, " Error: N == 0 || temperature == 0 || vec_len == 0. N=%f, temperature=%f, vec_len=%f, labels[i] = %d \n",
N, temperature, vec_len, labels[i]);
getchar();
return;
}
const float mult = 1 / ((N - 1) * temperature * vec_len);
for (j = 0; j < num_of_samples; ++j) {
if (i != j && labels[i] == labels[j] && labels[i] >= 0) {
const int sim_P_i = get_sim_P_index(i, j, contrast_p, contrast_p_size);
if (sim_P_i < 0) continue;
const float sim = contrast_p[sim_P_i].sim;
const float P = contrast_p[sim_P_i].P;
int m;
for (m = 0; m < feature_size; ++m) {
const float d = mult*(sim * z[i][m] - z[j][m]) *(1 - P); const int out_i = m * wh;
delta[out_i] -= d;
}
}
}
}
void grad_contrastive_loss_negative_f(size_t i, int *class_ids, int *labels, size_t num_of_samples, float **z, unsigned int feature_size, float temperature, float *delta, int wh, contrastive_params *contrast_p, int contrast_p_size, int neg_max)
{
const float vec_len = math_vector_length(z[i], feature_size);
size_t j;
float N = 0;
for (j = 0; j < num_of_samples; ++j) {
if (labels[i] == labels[j] && labels[i] >= 0) N++;
}
if (N == 0 || temperature == 0 || vec_len == 0) {
fprintf(stderr, " Error: N == 0 || temperature == 0 || vec_len == 0. N=%f, temperature=%f, vec_len=%f, labels[i] = %d \n",
N, temperature, vec_len, labels[i]);
getchar();
return;
}
const float mult = 1 / ((N - 1) * temperature * vec_len);
int neg_counter = 0;
for (j = 0; j < num_of_samples; ++j) {
if (labels[i] >= 0 && labels[i] == labels[j] && i != j) {
size_t k;
for (k = 0; k < num_of_samples; ++k) {
if (k != i && k != j && labels[k] != labels[i] && class_ids[j] == class_ids[k]) {
neg_counter++;
const int sim_P_i = get_sim_P_index(i, k, contrast_p, contrast_p_size);
if (sim_P_i < 0) continue;
const float sim = contrast_p[sim_P_i].sim;
const float P = contrast_p[sim_P_i].P;
int m;
for (m = 0; m < feature_size; ++m) {
const float d = mult*(z[k][m] - sim * z[i][m]) * P; const int out_i = m * wh;
delta[out_i] -= d;
}
if (neg_counter >= neg_max) return;
}
}
}
}
}
float P_constrastive(size_t i, size_t l, int *labels, size_t num_of_samples, float **z, unsigned int feature_size, float temperature, float *cos_sim, float *exp_cos_sim)
{
if (i == l) {
fprintf(stderr, " Error: in P_constrastive must be i != l, while i = %d, l = %d \n", i, l);
getchar();
}
const float numerator = exp_cos_sim[i*num_of_samples + l];
float denominator = 0;
int k;
for (k = 0; k < num_of_samples; ++k) {
if (k != i) {
denominator += exp_cos_sim[k*num_of_samples + l];
}
}
float result = numerator / denominator;
return result;
}
void grad_contrastive_loss_positive(size_t i, int *labels, size_t num_of_samples, float **z, unsigned int feature_size, float temperature, float *cos_sim, float *p_constrastive, float *delta, int wh)
{
const float vec_len = math_vector_length(z[i], feature_size);
size_t j;
float N = 0;
for (j = 0; j < num_of_samples; ++j) {
if (labels[i] == labels[j]) N++;
}
if (N == 0 || temperature == 0 || vec_len == 0) {
fprintf(stderr, " Error: N == 0 || temperature == 0 || vec_len == 0. N=%f, temperature=%f, vec_len=%f \n", N, temperature, vec_len);
getchar();
}
const float mult = 1 / ((N - 1) * temperature * vec_len);
for (j = 0; j < num_of_samples; ++j) {
if (i != j && labels[i] == labels[j]) {
const float sim = cos_sim[i*num_of_samples + j]; const float P = p_constrastive[i*num_of_samples + j];
int m;
for (m = 0; m < feature_size; ++m) {
const float d = mult*(sim * z[i][m] - z[j][m]) * (1 - P); const int out_i = m * wh;
delta[out_i] -= d;
}
}
}
}
void grad_contrastive_loss_negative(size_t i, int *labels, size_t num_of_samples, float **z, unsigned int feature_size, float temperature, float *cos_sim, float *p_constrastive, float *delta, int wh)
{
const float vec_len = math_vector_length(z[i], feature_size);
size_t j;
float N = 0;
for (j = 0; j < num_of_samples; ++j) {
if (labels[i] == labels[j]) N++;
}
if (N == 0 || temperature == 0 || vec_len == 0) {
fprintf(stderr, " Error: N == 0 || temperature == 0 || vec_len == 0. N=%f, temperature=%f, vec_len=%f \n", N, temperature, vec_len);
getchar();
}
const float mult = 1 / ((N - 1) * temperature * vec_len);
for (j = 0; j < num_of_samples; ++j) {
if (i != j && labels[i] == labels[j]) {
size_t k;
for (k = 0; k < num_of_samples; ++k) {
if (k != i && k != j && labels[k] >= 0) {
const float sim = cos_sim[i*num_of_samples + k]; const float P = p_constrastive[i*num_of_samples + k];
int m;
for (m = 0; m < feature_size; ++m) {
const float d = mult*(z[k][m] - sim * z[i][m]) * P; const int out_i = m * wh;
delta[out_i] -= d;
}
}
}
}
}
}