/**
* Returns the next number in the pseudo-random sequence generated by
* the Mersenne Twister 19937 algorithm.
* @returns The next number in the pseudo-random sequence
*/
double MersenneTwister::nextValue()
{
/// A variate generator to combine a random number generator with a distribution
uniform_generator uniform_rand(m_generator, m_uniform_dist);
// There is no reason why this call shouldn't be considered const
return uniform_rand();
}
void test_sort(){
cout << "\n----TESTING SORT LIBRARY----\n" << endl;
//class template instance, must be called in conjunction with a variate or rand generator
br::uniform_int_distribution<> uniform_rand(1,20000);
vector<int> vec;
while( (int)(vec.end() - vec.begin()) < 25 )
vec.push_back( uniform_rand(rng) );
cout << "\nInsertion Sort\n" << endl;
InsertionSort<int>( vec.begin(), vec.end());
copy(vec.begin(), vec.end(), ostream_iterator<int> (cout, "\n"));
KnuthShuffle<int>(vec.begin(),vec.end()); //reset
cout << "\n\nQuick Sort\n" << endl;
KnuthShuffle<int>(vec.begin(),vec.end()); //reset
cout << "\n\nMerge Sort\n" << endl;
cout << "\n" << endl;
}
double tcplib(struct histmap *hmp, struct entry *tbl, unsigned short seed[3])
{
float prob;
int maxbin = hmp->nbins-1;
int base = 0;
int bound = maxbin;
int mid = (int)((float)maxbin / 2.0 + 0.5);
prob = ((float) (pc_nrand(seed) % PRECIS)) / (float) PRECIS;
do {
while (prob <= tbl[mid-1].prob && mid != 1) {
bound = mid;
mid -= (int)(((float)(mid - base)) / 2.0 + 0.5);
}
while (prob > tbl[mid].prob) {
base = mid;
mid += (int)(((float)(bound - mid)) / 2.0 + 0.5);
}
} while (!(mid == 1 || (prob >= tbl[mid-1].prob && prob <= tbl[mid].prob)));
if (mid == 1 && prob < tbl[0].prob) {
return ((double) tbl[0].value);
} else {
return ((double) uniform_rand(tbl[mid-1].value, tbl[mid].value, seed));
}
}
float_t ConvNet::train_once() {
float_t err = 0;
int iter = 0;
while (iter < M) {
//auto train_x_index = iter % train_size_;
iter++;
auto train_x_index = uniform_rand(0, train_size_ - 1);
layers[0]->input_ = train_x_[train_x_index];
layers.back()->exp_y = (int) train_y_[train_x_index];
/*
Start forward feeding.
*/
for (auto layer : layers) {
layer->forward();
if (layer->next != nullptr) {
layer->next->input_ = layer->output_;
}
}
err += layers.back()->err;
/*
back propgation
*/
for (auto i = layers.rbegin(); i != layers.rend(); i++) {
(*i)->back_prop();
}
}
return err / M;
}
/**
* Box-Muller
*/
complex double gaussian_rand(void)
{
double u1, u2, s;
do {
u1 = 2. * uniform_rand() - 1.;
u2 = 2. * uniform_rand() - 1.;
s = u1 * u1 + u2 * u2;
} while (s > 1.);
double re = sqrt(-2. * log(s) / s) * u1;
double im = sqrt(-2. * log(s) / s) * u2;
return re + 1.i * im;
}
int main(void)
{
srand(time(NULL));
params_t params={1.0,2.0}; // on choisit la moyenne à 1.0 et l'equart type à 2.0
{
/* test de l'implémentation */
double y= uniform_rand(); /* y */
double x = quantile(y,params); /* F(x)=y */
printf("y= %.15f; F(%.15f)= %.15f\n", y, x, cumulative_normal_distribution(x, params)); /* on vérifie bien que y= F(x) */
}
/* générer les X */
for(size_t i=0;i<MAX;++i)
{
random_variables[i] = normal_rand(params); // on génère un tableau de X et on les affiche au fur et à mesure. Ces nombres aléatoires suivent la loi normale.
printf("%0.5f\n",random_variables[i]);
}
return 0;
}
static void random_point(int D, float p[D])
{
for (int i = 0; i < D; i++)
p[i] = uniform_rand();
}
// 再急勾配法（ｻｰｾﾝwww）による学習
int SVM::learning(void)
{
int iteration; // 学習繰り返しカウント
float* diff_alpha; // 双対問題の勾配値
float* pre_diff_alpha; // 双対問題の前回の勾配値（慣性項に用いる）
float* pre_alpha; // 前回の双対係数ベクトル（収束判定に用いる）
register float diff_sum; // 勾配計算用の小計
register float kernel_val; // カーネル関数とC2を含めた項
//float plus_sum, minus_sum; // 正例と負例の係数和
// 配列（ベクトル）のアロケート
diff_alpha = new float[n_sample];
pre_diff_alpha = new float[n_sample];
pre_alpha = new float[n_sample];
status = SVM_NOT_LEARN; // 学習を未完了に
iteration = 0; // 繰り返し回数を初期化
// 双対係数の初期化.乱択
for (int i = 0; i < n_sample; i++ ) {
// 欠損データの係数は0にして使用しない
if ( label[i] == 0 ) {
alpha[i] = 0;
continue;
}
alpha[i] = uniform_rand(1.0) + 1.0;
}
// 学習ループ
while ( iteration < maxIteration ) {
printf("ite: %d diff_norm : %f alpha_dist : %f \r\n", iteration, two_norm(diff_alpha, n_sample), vec_dist(alpha, pre_alpha, n_sample));
// 前回の更新値の記録
memcpy(pre_alpha, alpha, sizeof(float) * n_sample);
if ( iteration >= 1 ) {
memcpy(pre_diff_alpha, diff_alpha, sizeof(float) * n_sample);
} else {
// 初回は0埋めで初期化
memset(diff_alpha, 0, sizeof(float) * n_sample);
memset(pre_diff_alpha, 0, sizeof(float) * n_sample);
}
// 勾配値の計算
for (int i=0; i < n_sample; i++) {
diff_sum = 0;
for (int j=0; j < n_sample;j++) {
// C2を踏まえたカーネル関数値
kernel_val = kernel_function(&(MATRIX_AT(sample,dim_signal,i,0)), &(MATRIX_AT(sample,dim_signal,j,0)), dim_signal);
// kernel_val = MATRIX_AT(grammat,n_sample,i,j); // via Gram matrix
if (i == j) {
kernel_val += (1/C2);
}
diff_sum += alpha[j] * label[j] * kernel_val;
}
diff_sum *= label[i];
diff_alpha[i] = 1 - diff_sum;
}
// 双対変数の更新
for (int i=0; i < n_sample; i++) {
if ( label[i] == 0 ) {
continue;
}
//printf("alpha[%d] : %f -> ", i, alpha[i]);
alpha[i] = pre_alpha[i]
+ eta * diff_alpha[i]
+ learn_alpha * pre_diff_alpha[i];
//printf("%f \dim_signal", alpha[i]);
// 非数/無限チェック
if ( isnan(alpha[i]) || isinf(alpha[i]) ) {
fprintf(stderr, "Detected NaN or Inf Dual-Coffience : pre_alhpa[%d]=%f -> alpha[%d]=%f", i, pre_alpha[i], i, alpha[i]);
return SVM_DETECT_BAD_VAL;
}
}
// 係数の制約条件1:正例と負例の双対係数和を等しくする.
// 手法:標本平均に寄せる
float norm_sum = 0;
for (int i = 0; i < n_sample; i++ ) {
norm_sum += (label[i] * alpha[i]);
}
norm_sum /= n_sample;
for (int i = 0; i < n_sample; i++ ) {
if ( label[i] == 0 ) {
continue;
}
alpha[i] -= (norm_sum / label[i]);
}
// 係数の制約条件2:双対係数は非負
for (int i = 0; i < n_sample; i++ ) {
if ( alpha[i] < 0 ) {
alpha[i] = 0;
} else if ( alpha[i] > C1 ) {
// C1を踏まえると,係数の上限はC1となる.
alpha[i] = C1;
}
}
// 収束判定 : 凸計画問題なので,収束時は大域最適が
// 保証されている.
if ( (vec_dist(alpha, pre_alpha, n_sample) < epsilon)
|| (two_norm(diff_alpha, n_sample) < epsilon) ) {
// 学習の正常完了
status = SVM_LEARN_SUCCESS;
break;
}
// 学習繰り返し回数のインクリメント
iteration++;
}
if (iteration >= maxIteration) {
fprintf(stderr, "Learning is not convergenced. (iteration count > maxIteration) \r\n");
status = SVM_NOT_CONVERGENCED;
} else if ( status != SVM_LEARN_SUCCESS ) {
status = SVM_NOT_LEARN;
}
// 領域開放
delete [] diff_alpha;
delete [] pre_diff_alpha;
delete [] pre_alpha;
return status;
}
status_t Harness::testSeek(
const char *componentName, const char *componentRole) {
bool isEncoder =
!strncmp(componentRole, "audio_encoder.", 14)
|| !strncmp(componentRole, "video_encoder.", 14);
if (isEncoder) {
// Not testing seek behaviour for encoders.
printf(" * Not testing seek functionality for encoders.\n");
return OK;
}
const char *mime = GetMimeFromComponentRole(componentRole);
if (!mime) {
LOGI("Cannot perform seek test with this componentRole (%s)",
componentRole);
return OK;
}
sp<MediaSource> source = CreateSourceForMime(mime);
sp<MediaSource> seekSource = CreateSourceForMime(mime);
if (source == NULL || seekSource == NULL) {
return UNKNOWN_ERROR;
}
CHECK_EQ(seekSource->start(), OK);
sp<MediaSource> codec = OMXCodec::Create(
mOMX, source->getFormat(), false /* createEncoder */,
source, componentName);
CHECK(codec != NULL);
CHECK_EQ(codec->start(), OK);
int64_t durationUs;
CHECK(source->getFormat()->findInt64(kKeyDuration, &durationUs));
LOGI("stream duration is %lld us (%.2f secs)",
durationUs, durationUs / 1E6);
static const int32_t kNumIterations = 5000;
// We are always going to seek beyond EOS in the first iteration (i == 0)
// followed by a linear read for the second iteration (i == 1).
// After that it's all random.
for (int32_t i = 0; i < kNumIterations; ++i) {
int64_t requestedSeekTimeUs;
int64_t actualSeekTimeUs;
MediaSource::ReadOptions options;
double r = uniform_rand();
if ((i == 1) || (i > 0 && r < 0.5)) {
// 50% chance of just continuing to decode from last position.
requestedSeekTimeUs = -1;
LOGI("requesting linear read");
} else {
if (i == 0 || r < 0.55) {
// 5% chance of seeking beyond end of stream.
requestedSeekTimeUs = durationUs;
LOGI("requesting seek beyond EOF");
} else {
requestedSeekTimeUs =
(int64_t)(uniform_rand() * durationUs);
LOGI("requesting seek to %lld us (%.2f secs)",
requestedSeekTimeUs, requestedSeekTimeUs / 1E6);
}
MediaBuffer *buffer = NULL;
options.setSeekTo(
requestedSeekTimeUs, MediaSource::ReadOptions::SEEK_NEXT_SYNC);
if (seekSource->read(&buffer, &options) != OK) {
CHECK_EQ(buffer, NULL);
actualSeekTimeUs = -1;
} else {
CHECK(buffer != NULL);
CHECK(buffer->meta_data()->findInt64(kKeyTime, &actualSeekTimeUs));
CHECK(actualSeekTimeUs >= 0);
buffer->release();
buffer = NULL;
}
LOGI("nearest keyframe is at %lld us (%.2f secs)",
actualSeekTimeUs, actualSeekTimeUs / 1E6);
}
status_t err;
MediaBuffer *buffer;
for (;;) {
err = codec->read(&buffer, &options);
options.clearSeekTo();
if (err == INFO_FORMAT_CHANGED) {
CHECK_EQ(buffer, NULL);
continue;
}
if (err == OK) {
CHECK(buffer != NULL);
if (buffer->range_length() == 0) {
buffer->release();
buffer = NULL;
continue;
}
} else {
CHECK_EQ(buffer, NULL);
}
break;
}
if (requestedSeekTimeUs < 0) {
// Linear read.
if (err != OK) {
CHECK_EQ(buffer, NULL);
} else {
CHECK(buffer != NULL);
buffer->release();
buffer = NULL;
}
} else if (actualSeekTimeUs < 0) {
EXPECT(err != OK,
"We attempted to seek beyond EOS and expected "
"ERROR_END_OF_STREAM to be returned, but instead "
"we got a valid buffer.");
EXPECT(err == ERROR_END_OF_STREAM,
"We attempted to seek beyond EOS and expected "
"ERROR_END_OF_STREAM to be returned, but instead "
"we found some other error.");
CHECK_EQ(err, ERROR_END_OF_STREAM);
CHECK_EQ(buffer, NULL);
} else {
EXPECT(err == OK,
"Expected a valid buffer to be returned from "
"OMXCodec::read.");
CHECK(buffer != NULL);
int64_t bufferTimeUs;
CHECK(buffer->meta_data()->findInt64(kKeyTime, &bufferTimeUs));
if (!CloseEnough(bufferTimeUs, actualSeekTimeUs)) {
printf("\n * Attempted seeking to %lld us (%.2f secs)",
requestedSeekTimeUs, requestedSeekTimeUs / 1E6);
printf("\n * Nearest keyframe is at %lld us (%.2f secs)",
actualSeekTimeUs, actualSeekTimeUs / 1E6);
printf("\n * Returned buffer was at %lld us (%.2f secs)\n\n",
bufferTimeUs, bufferTimeUs / 1E6);
buffer->release();
buffer = NULL;
CHECK_EQ(codec->stop(), OK);
return UNKNOWN_ERROR;
}
buffer->release();
buffer = NULL;
}
}
CHECK_EQ(codec->stop(), OK);
return OK;
}
#include "num/multind.h"
#include "num/flpmath.h"
#include "num/rand.h"
#include "num/init.h"
#include "misc/misc.h"
#include "misc/mmio.h"
#include "misc/pd.h"
#include "misc/opts.h"
static void random_point(int D, float p[static D])
{
for (int i = 0; i < D; i++)
p[i] = uniform_rand();
}
static float dist(int D, const float a[static D], const float b[static D])
{
float r = 0.;
for (int i = 0; i < D; i++)
r += powf(a[i] - b[i], 2.);
return sqrtf(r);
}
static float maxn(int D, const float a[static D], const float b[static D])
/* 逆誤差伝搬法による学習 局所解？なんのこったよ（すっとぼけ）*/
float SRNN::learning(void)
{
int iteration = 0; // 学習繰り返し回数
int seq = 0; // 現在学習中の系列番号[0,...,len_seqence-1]
int end_flag = 0; // 学習終了フラグ.このフラグが成立したら今回のsequenceを最後まで回して終了する.
// 係数行列のサイズ
int row_in_mid = num_mid_neuron;
int col_in_mid = dim_signal + num_mid_neuron + 1;
int row_mid_out = dim_signal;
int col_mid_out = num_mid_neuron + 1;
// 行列のアロケート
// 係数行列の更新量
float* dWin_mid = new float[row_in_mid * col_in_mid];
float* dWmid_out = new float[row_mid_out * col_mid_out];
// 前回の更新量:慣性項に用いる.
float* prevdWin_mid = new float[row_in_mid * col_in_mid];
float* prevdWmid_out = new float[row_mid_out * col_mid_out];
float* norm_sample = new float[len_seqence * dim_signal]; // 正規化したサンプル信号; 実際の学習は正規化した信号を用います.
// 係数行列の初期化
for (int i=0; i < row_in_mid; i++)
for (int j=0; j < col_in_mid; j++)
MATRIX_AT(Win_mid,col_in_mid,i,j) = uniform_rand(width_initW);
for (int i=0; i < row_mid_out; i++)
for (int j=0; j < col_mid_out; j++)
MATRIX_AT(Wmid_out,col_mid_out,i,j) = uniform_rand(width_initW);
// 信号の正規化:経験上,非常に大切な処理
for (int seq=0; seq < len_seqence; seq++) {
for (int n=0; n < dim_signal; n++) {
MATRIX_AT(norm_sample,dim_signal,seq,n) =
normalize_signal(MATRIX_AT(this->sample,dim_signal,seq,n),
MATRIX_AT(this->sample_maxmin,2,n,0),
MATRIX_AT(this->sample_maxmin,2,n,1));
// printf("%f ", MATRIX_AT(norm_sample,dim_signal,seq,n));
}
// printf("\r\n");
}
// 出力層の信号
float* out_signal = new float[dim_signal];
// 入力層->中間層の信号和
float* in_mid_net = new float[num_mid_neuron];
// 中間層->出力層の信号和.
float* mid_out_net = new float[dim_signal];
// 誤差信号
float* sigma = new float[dim_signal];
// 前回の二乗誤差値:収束判定に用いる.
float prevError;
/* 学習ループ */
while (1) {
// 終了条件を満たすか確認
if (!end_flag) {
end_flag = !(iteration < this->maxIteration
&& (iteration <= this->len_seqence
|| this->squareError > this->goalError)
);
}
// printf("ite:%d err:%f \r\n", iteration, squareError);
// 系列の末尾に到達していたら,最初からリセットする.
if (seq == len_seqence && !end_flag) {
seq = 0;
}
// 前回の更新量/二乗誤差を保存
if (iteration >= 1) {
memcpy(prevdWin_mid, dWin_mid, sizeof(float) * row_in_mid * col_in_mid);
memcpy(prevdWmid_out, dWmid_out, sizeof(float) * row_mid_out * col_mid_out);
prevError = squareError;
} else {
// 初回は0埋め
memset(prevdWin_mid, float(0), sizeof(float) * row_in_mid * col_in_mid);
memset(prevdWmid_out, float(0), sizeof(float) * row_mid_out * col_mid_out);
}
/* 学習ステップその1:ニューラルネットの出力信号を求める */
// 入力値を取得
memcpy(expand_in_signal, &(norm_sample[seq * dim_signal]), sizeof(float) * dim_signal);
// SRNN特有:入力層に中間層のコピーが追加され,中間層に入力される.
if (iteration == 0) {
// 初回は0埋めする
memset(&(expand_in_signal[dim_signal]), float(0), sizeof(float) * num_mid_neuron);
} else {
// コンテキスト層 = 前回のコンテキスト層の出力
// 前回の中間層信号との線形和をシグモイド関数に通す.
for (int d = 0; d < num_mid_neuron; d++) {
expand_in_signal[dim_signal + d] = sigmoid_func(alpha_context * expand_in_signal[dim_signal + d] + expand_mid_signal[d]);
}
}
// バイアス項は常に1に固定.
expand_in_signal[dim_signal + num_mid_neuron] = 1;
// 入力->中間層の出力信号和計算
multiply_mat_vec(Win_mid,
expand_in_signal,
in_mid_net,
num_mid_neuron,
dim_signal + num_mid_neuron + 1);
// 中間層の出力信号計算
sigmoid_vec(in_mid_net,
expand_mid_signal,
num_mid_neuron);
expand_mid_signal[num_mid_neuron] = 1;
// 中間->出力層の出力信号和計算
multiply_mat_vec(Wmid_out,
expand_mid_signal,
mid_out_net,
dim_signal,
num_mid_neuron + 1);
// 出力層の出力信号計算
sigmoid_vec(mid_out_net,
out_signal,
dim_signal);
for (int i = 0; i < dim_signal; i++) {
predict_signal[i] = expand_signal(out_signal[i],
MATRIX_AT(sample_maxmin,2,i,0),
MATRIX_AT(sample_maxmin,2,i,1));
}
printf("predict : %f %f %f \r\n", predict_signal[0], predict_signal[1], predict_signal[2]);
// print_mat(Wmid_out, row_mid_out, col_mid_out);
// この時点での二乗誤差計算
squareError = 0;
// 次の系列との誤差を見ている!! ここが注目ポイント
// ==> つまり,次系列を予測させようとしている.
for (int n = 0;n < dim_signal;n++) {
if (seq < len_seqence - 1) {
squareError += powf((out_signal[n] - MATRIX_AT(norm_sample,dim_signal,(seq + 1),n)),2);
} else {
squareError += powf((out_signal[n] - MATRIX_AT(norm_sample,dim_signal,0,n)),2);
}
}
squareError /= dim_signal;
/* 学習の終了 */
// 終了フラグが立ち,かつ系列の最後に達していたら学習終了
if (end_flag && (seq == (len_seqence-1))) {
// 予測結果をセット.
for (int i = 0; i < dim_signal; i++) {
predict_signal[i] = expand_signal(out_signal[i],
MATRIX_AT(sample_maxmin,2,i,0),
MATRIX_AT(sample_maxmin,2,i,1));
//printf("%f ", predict_signal[i]);
}
break;
}
// 収束したと判定したら終了フラグを立てる.
if (fabsf(squareError - prevError) < epsilon) {
end_flag = 1;
}
/* 学習ステップその2:逆誤差伝搬 */
// 誤差信号の計算
for (int n = 0; n < dim_signal; n++) {
if (seq < len_seqence - 1) {
sigma[n] = (out_signal[n] - MATRIX_AT(norm_sample,dim_signal,seq+1,n)) * out_signal[n] * (1 - out_signal[n]);
} else {
/* 末尾と先頭の誤差を取る (大抵,大きくなる) */
sigma[n] = (out_signal[n] - MATRIX_AT(norm_sample, dim_signal,0,n)) * out_signal[n] * (1 - out_signal[n]);
}
}
// printf("Sigma : %f %f %f \r\n", sigma[0], sigma[1], sigma[2]);
// 出力->中間層の係数の変更量計算
for (int n = 0; n < dim_signal; n++) {
for (int j = 0; j < num_mid_neuron + 1; j++) {
MATRIX_AT(dWmid_out,num_mid_neuron,n,j) = sigma[n] * expand_mid_signal[j];
}
}
// 中間->入力層の係数の変更量計算
register float sum_sigma;
for (int i = 0; i < num_mid_neuron; i++) {
// 誤差信号を逆向きに伝播させる.
sum_sigma = 0;
for (int k = 0; k < dim_signal; k++) {
sum_sigma += sigma[k] * MATRIX_AT(Wmid_out,num_mid_neuron + 1,k,i);
}
// 中間->入力層の係数の変更量計算
for (int j = 0; j < col_in_mid; j++) {
MATRIX_AT(dWin_mid,num_mid_neuron,j,i)
= sum_sigma * expand_mid_signal[i] *
(1 - expand_mid_signal[i]) *
expand_in_signal[j];
}
}
// 係数更新
for (int i = 0; i < row_in_mid; i++) {
for (int j = 0; j < col_in_mid; j++) {
//printf("[%f -> ", MATRIX_AT(Win_mid,col_in_mid,i,j));
MATRIX_AT(Win_mid,col_in_mid,i,j) =
MATRIX_AT(Win_mid,col_in_mid,i,j) -
this->learnRate * MATRIX_AT(dWin_mid,col_in_mid,i,j) -
this->alpha * MATRIX_AT(prevdWin_mid,col_in_mid,i,j);
// printf("%f] ", MATRIX_AT(Win_mid,col_in_mid,i,j));
// printf("dW : %f , prevdW : %f ", MATRIX_AT(dWin_mid,col_in_mid,i,j), MATRIX_AT(prevdWin_mid,col_in_mid,i,j));
}
//printf("\r\n");
}
for (int i = 0; i < row_mid_out; i++) {
for (int j = 0; j < col_mid_out; j++) {
MATRIX_AT(Wmid_out,col_mid_out,i,j)=
MATRIX_AT(Wmid_out,col_mid_out,i,j) -
this->learnRate * MATRIX_AT(dWmid_out,col_mid_out,i,j) -
this->alpha * MATRIX_AT(prevdWmid_out,col_mid_out,i,j);
}
}
// ループ回数/系列のインクリメント
iteration += 1;
seq += 1;
}
delete [] dWin_mid; delete [] dWmid_out;
delete [] prevdWin_mid; delete [] prevdWmid_out;
delete [] norm_sample; delete [] out_signal;
delete [] in_mid_net; delete [] mid_out_net;
return squareError;
}
double unirnd(void)
/*! Returns a random number from the interval (0,1). */
{
return uniform_rand(&IDUM);
}
#include <stdio.h> /* printf */
#include <math.h> /* pow, sqrt, exp, erf */
#include <time.h> /* time */
#include <stdlib.h> /* srand, rand */
#define PI 3.14159265358979323846 /* au cas où la constante ne soit pas déjà incluse dans la lib standard */
typedef struct
{
double mean; /* mu */
double deviation; /* sigma */
} params_t;
double uniform_rand() /* nombres aléatoire entre 0 et 1 (inclus) */
{
return rand()/(double)RAND_MAX;
}
double inverse_erf(double x) /* l'inverse de l'error function(erf) */
{
double result=0.0;
int steps=0;
for(;steps<100; ++steps)
{
result-=(erf(result)-x)*sqrt(PI)/2*exp(result*result); /* méthode de Newton appliquée au calcul de l'inverse de "erf" */
}
return result;
}
double normal_distribution(double x, params_t params); /* f: distribution gaussienne / loi normale*/
double cumulative_normal_distribution(double x, params_t params); /* F: fonction de répartition de la loi normale */
double quantile(double x, params_t params); /* F^-1: l'inverse de la fonction de répatition de la loi normale */
double normal_rand(params_t params) /* Inverse transform sampling */
{
/* La répartition suit la loi normale d'après: "Caractérisation de la loi par la fonction de répartition" et le "Théorème de la réciproque" */
return quantile(uniform_rand(),params);
}
int main(int argc, char** argv) {
int i, eviction_algorithm, seed;
//Parse input
if(argc == 2){
eviction_algorithm = atoi(argv[1]);
seed = time(NULL);
}else if(argc == 3) {
eviction_algorithm = atoi(argv[1]);
seed = atoi(argv[2]);
}else{
printf("1st argument: eviction algorithm (0-Random; 1-Clock; 2-Clock2ndChance)\n2nd argument: seed for random algorithm\n");
return -1;
}
init_memory(eviction_algorithm, seed);
printf("STORE VALUES IN ORDER value = vAddr+1 (press enter to continue):\n");
memoryMaxer(PAGE_TABLE_SIZE+2);//beyond the limit (the last 2 page creations are ignored)
print_memory_state();
getchar();
printf("GET_VALUE FROM ALL ADDRESSES (press enter to continue):\n");
for(i = 0; i < PAGE_TABLE_SIZE; i++){
if(get_value(i, NULL) != i+1){
printf("wrong answer for page %d\n", i);
return -1;//not supposed to happen
}
}
print_memory_state();
getchar();
printf("FREE RANDOM pages AND TRY TO GET_VALUE. AND CREATE SOME PAGES (press enter to continue):\n");
for (i = 0; i < 20; i++){
int addr = uniform_rand(0, PAGE_TABLE_SIZE);
printf("free %d\n", addr);
free_page(addr);
int valid;
get_value(addr, &valid);
if(valid == 0) printf("Couldn't read from addr %d\n", addr);
}
for (i = 0; i < 10; i++) {
vAddr addr = create_page();
uint32_t v = uniform_rand(0, PAGE_TABLE_SIZE);
store_value(addr, &v);
printf("created page %d with value %d\n", addr, v);
}
print_memory_state();
getchar();
printf("ALTERNATE STORE AND GET (press enter to continue)\n");
for (i = 0; i < 20; i++){
int addr = uniform_rand(0, PAGE_TABLE_SIZE);
uint32_t v = uniform_rand(0, 100);
store_value(addr, &v);
printf("store %d in vAddr %d\n", v, addr);
int valid;
addr = uniform_rand(0, PAGE_TABLE_SIZE);
v = get_value(addr, &valid);
if(valid) printf("got %d from addr %d\n", v, addr);
else printf("Couldn't read from addr %d\n", addr);
}
print_memory_state();
getchar();
destroy_memory();
return 0;
}
bool ConvNet::test_once_random() {
int test_x_index = uniform_rand(0, test_size_ - 1);
return test_once(test_x_index);
}
void rseed(long idum)
/*! Set the seed of the random number generator. */
{
IDUM = -labs(idum);
uniform_rand(&IDUM);
}
void generateSyntheticData(int row, int hosts, double ** m, std::string prefix, std::string topofile, double demand_jump_factor, double demand_locality_factor, int merge_len)
{
char filedir[200];
sprintf(filedir,"%s%s", prefix.c_str(),"patterns");
printf("dir=%s!\n", filedir);
FILE * fPattern = fopen(filedir,"r");
assert(fPattern != NULL && "Unable to open petterns file");
int nWeeks;
int frlt=fscanf(fPattern, "%i", &nWeeks);
assert(frlt >= 0);
double ** totflow = new double *[nWeeks];
for (int curWeek = 0; curWeek < nWeeks;curWeek++)
{
totflow[curWeek] = new double[2016];
for (int i = 0; i < 2016; i++)
frlt=fscanf(fPattern, "%lf", &totflow[curWeek][i]);
}
const int nfft = 2016;
kiss_fft_cfg cfg = kiss_fft_alloc(nfft, false, 0, 0);
kiss_fft_cfg cfg2 = kiss_fft_alloc(nfft,true, 0, 0);
kiss_fft_cpx cx_in[nfft], cx_out[nfft];
for (int curWeek = 0; curWeek < nWeeks; curWeek++)
{
for (int i = 0; i < nfft; i++)
{
cx_in[i].r = totflow[curWeek][i];
cx_in[i].i = 0;
}
kiss_fft(cfg, cx_in, cx_out);
for (int i = 0; i < nfft; i++)
{
cx_out[i].r /= nfft;
cx_out[i].i /= nfft;
}
int position[nfft];
for (int i = 0; i < nfft; i++)
position[i] = i;
for (int i = 0; i < nfft - 1; i++)
for (int j = i + 1; j < nfft; j++)
{
double n1 = cxnorm(cx_out[position[i]]);
double n2 = cxnorm(cx_out[position[j]]);
if (n1 < n2)
{
int tmp;
tmp = position[i];
position[i] = position[j];
position[j] = tmp;
}
}
for (int i = 6; i < nfft; i++)
{
double a = uniform_rand(0, 3);
cx_out[position[i]].r *= a;
cx_out[position[i]].i *= a;
}
kiss_fft(cfg2, cx_out, cx_in);
for (int i = 0; i < nfft; i++)
totflow[curWeek][i] = cx_in[i].r;
}
/*
FILE * fFFTout = fopen("fftout", "w");
for (int curWeek = 0; curWeek < nWeeks; curWeek++)
{
for (int i = 0; i < 2016; i++)
fprintf(fFFTout, "%.2lf ", totflow[curWeek][i]);
fprintf(fFFTout, "\n");
}
fclose(fFFTout);
*/
int nMean;
char filedir2[200];
sprintf(filedir2,"%s%s", prefix.c_str(),"pareto");
printf("dir=%s!\n", filedir2);
FILE * fpareto = fopen(filedir2, "r");
frlt=fscanf(fpareto, "%i", &nMean);
double * saveMean = new double[nMean];
for (int i = 0; i < nMean; i++)
frlt=fscanf(fpareto, "%lf", &saveMean[i]);
//m[col][row];
double ** Tin = new double*[hosts];
double ** Tout = new double*[hosts];
for (int i = 0; i < hosts; i++)
{
Tin[i] = new double[row];
Tout[i] = new double[row];
generateW(Tin[i], saveMean[getRandNum(nMean)], row,demand_jump_factor);
generateW(Tout[i], saveMean[getRandNum(nMean)], row,demand_jump_factor);
}
/*
for (int i = 0; i < hosts; i++)
{
printf("No%i ----------%lf ", i, Tin[i][0]);
for (int j = 0; j < 100;j++)
printf("%.2lf -- ", Tin[i][j]);
double avg = 0;
for (int j = 0; j < row; j++)
avg += Tin[i][j] / row;
printf("avg == %.2lf\n\n", avg);
}
*/
double tot_in, tot_out;
for (int i = 0; i < row; i++)
{
tot_in = 0;
tot_out = 0;
for (int j = 0; j < hosts;j++)
{
tot_in += Tin[j][i];
tot_out += Tout[j][i];
}
if (tot_in==0)
tot_in=1;
for (int j = 0; j < hosts; j++)
{
Tin[j][i] /= tot_in;
Tout[j][i] /= tot_out;
}
}
/*
for (int i = 0; i < 5; i++)
{
printf("No%i ---------- \n\n\n", i);
for (int j = 0; j < 100;j++)
printf("%.6lf -- ", Tin[i][j]);
}*/
double maxDist = 0;
double ** graph=NULL;
if (topofile.length() > 1)
{
FILE* topof=fopen(topofile.c_str(), "r");
assert(topof != NULL);
int topo_n, topo_m;
int tmp_rlt;
tmp_rlt=fscanf(topof, "%i%i", &topo_n, &topo_m);
if (tmp_rlt<0)
printf("error! in fscanf\n");
graph = new double *[topo_n];
for (int i = 0; i < topo_n; i++)
graph[i] = new double[topo_n];
for (int i = 0; i < topo_n; i++)
for (int j = 0; j < topo_n; j++)
if (i != j)
graph[i][j] = 214748368;
else
graph[i][j] = 0;
for (int i = 0; i < topo_m; i++)
{
int va, vb;
double edge_len;
double tmp_rlt=fscanf(topof, "%i%i%lf", &va, &vb, &edge_len);
if (tmp_rlt<0)
printf("error! in fscanf\n");
graph[va][vb] = edge_len;
graph[vb][va] = edge_len;
}
for (int k = 0; k < topo_n; k++)
for (int i = 0; i < topo_n; i++)
if (k != i)
for (int j = 0; j < topo_n; j++)
if ((k != j) && (i != j))
if (graph[i][j]>graph[i][k] + graph[k][j])
graph[i][j] = graph[i][k] + graph[k][j];
for (int i = 0; i < topo_n; i++)
for (int j = 0; j < topo_n; j++)
if (maxDist<graph[i][j])
maxDist = graph[i][j];
fclose(topof);
}
int next=0;
int pickedTotPattern=0;
for (int i = 0; i < row; i++)
{
double s_merge=0;
for (int j=0;j<merge_len;j++)
{
s_merge+= totflow[pickedTotPattern][next];
next++;
if (next>=2016)
{
next=0;
pickedTotPattern=0;
}
}
s_merge/=merge_len;
for (int j = 0; j < hosts; j++)
for (int k = 0; k < hosts; k++){
if (maxDist == 0)
m[j*hosts + k][i] = s_merge * Tin[j][i] * Tout[k][i];
else
m[j*hosts + k][i] = s_merge * Tin[j][i] * Tout[k][i]* exp(-demand_locality_factor* graph[j][k]/maxDist/2);
if (isnan(m[j*hosts+k][i]))
printf("%lf %lf %lf", s_merge, Tin[j][i], Tout[k][i]);
if (m[j*hosts+k][i]==0)
m[j*hosts+k][i]=1000;
}
}
fclose(fPattern);
fclose(fpareto);
for (int i = 0; i < nWeeks; i++)
delete[] totflow[i];
delete[] totflow;
delete[] saveMean;
delete[] Tin;
delete[] Tout;
}
// Generates a normal random variable with
// zero mean and stddev s
double gaussian_rand(double s)
{
double U1 = uniform_rand(1);
double U2 = uniform_rand(1);
return s*sqrt(-2*log(U1))*cos(2*PI*U2);
}