void ofApp::setup() {
//ccv.setup("image-net-2012-vgg-d.sqlite3");
ccv.setup("image-net-2012.sqlite3");
cat.load("cat.jpg");
dog.load("dog.jpg");
car.load("car.jpg");
// encode returns a vector containing the activations of a given
// layer in the network. So if we run it on the last layer, i.e.
// ccv.encode(myImage, ccv.numLayers()) we will receive a 1000-dim
// vector containing the activations of the output neurons (the 1000
// imageNet classes). better would be to use the second-to-last layer
// instead, which for this network contains 4096 neurons. using this
// layer makes a better compact image representation because these
// neurons correspond to high-level features but are not as closely
// tied to the specific classes of imageNet
vector<float> catFeatures = ccv.encode(cat, ccv.numLayers()-1);
vector<float> dogFeatures = ccv.encode(dog, ccv.numLayers()-1);
vector<float> carFeatures = ccv.encode(car, ccv.numLayers()-1);
// we take the correlation between every pair of feature
// representations and see that the correlation between the
// cat and dog pictures is higher than the other two.
// this is probably because cats and dogs share a number of
// common features
r_cat_dog = correlation(catFeatures, dogFeatures);
r_cat_car = correlation(catFeatures, carFeatures);
r_dog_car = correlation(dogFeatures, carFeatures);
}
T BivarStats<T>::sigmaYX(void) const
{
if (ns>2)
return (stdDevY() * SQRT(T(ns-1) / T(ns-2))
* SQRT(T(1) - correlation() * correlation()) );
else return T();
}
// TODO: maybe factor out the vector similarity methods. They're not exactly
// specific to tone profiling.
float ToneProfile::similarity(similarity_measure_t measure, const std::vector<float>& input, int offset) const {
if (input.size() != 12) throw Exception("Input vector for similarity must have 12 elements");
if (measure == SIMILARITY_CORRELATION)
return correlation(input, offset);
else
return cosine(input, offset);
}
double Corr::avgCorrelation(int N1, int N2, deque<int> *spikeTimesCor, double sig, double dt) {
double t = 0;
for (int i = N1; i < N2 - 1; i++) {
t += correlation(spikeTimesCor[i], spikeTimesCor[i + 1], dt, sig);
}
return t / pow((N2 - N1), 2);
}
/* main entry */
submain(int argc, char **argv)
{
int c;
/* get command line options */
while ((c = getopt(argc, argv, "?")) != EOF)
{
/* get options */
switch (c)
{
case '?':
/* help message */
usage(argv[0]);
return(0);
default:
/* error */
ERROR("invalid option.", EINVAL);
usage(argv[0]);
return(2);
}
}
/* check if spectra and output file were given */
if ((optind + 3) > argc)
{
ERROR("missing spectrum or output file.", EINVAL);
usage(argv[0]);
return(2);
}
/* create spectra */
Spectrum sp1(argv[optind]);
if ((errno = sp1.getStatus()) != OK)
{
ERRORS("spectrum constructor failed for spectrum.",
argv[optind], errno);
exit(2);
}
Spectrum sp2(argv[optind+1]);
if ((errno = sp2.getStatus()) != OK)
{
ERRORS("spectrum constructor failed for spectrum.",
argv[optind+1], errno);
exit(2);
}
/* do correlation */
Spectrum corrsp = correlation(sp1, sp2);
/* write out spectrum */
corrsp.writeSpectrum(argv[optind+2]);
/* all done */
return(0);
}
float correlation(List<Pixel> *ps) {
List<float> xs,ys;
for (int i=1;i<=ps->len;i++) {
xs.add(ps->num(i).x);
ys.add(ps->num(i).y);
}
float c=correlation(xs,ys);
xs.freedom(); ys.freedom();
return c;
}
double pWaveOccurenceRatio(const QVector<Cit> &pWaveStarts,
const Cit &endOfSignal) {
if (biggestIteratorTooBig(pWaveStarts, endOfSignal))
throw PWaveStartTooCloseToEndOfSignal();
const int count =
count_if(begin(pWaveStarts), end(pWaveStarts), [](const Cit &it) {
return 0.2 < correlation(begin(averagePWave), end(averagePWave), it);
});
return double(count) / pWaveStarts.size();
}
int main(int argc, char* argv[])
//int main(void)
{
double t_start, t_end;
DATA_TYPE* data;
DATA_TYPE* mean;
DATA_TYPE* stddev;
DATA_TYPE* symmat;
DATA_TYPE* symmat_outputFromGpu;
if(argc==2){
printf("arg 1 = %s\narg 2 = %s\n", argv[0], argv[1]);
cpu_offset = atoi(argv[1]);
}
data = (DATA_TYPE*)malloc((M + 1)*(N + 1)*sizeof(DATA_TYPE));
mean = (DATA_TYPE*)malloc((M + 1)*sizeof(DATA_TYPE));
stddev = (DATA_TYPE*)malloc((M + 1)*sizeof(DATA_TYPE));
symmat = (DATA_TYPE*)malloc((M + 1)*(N + 1)*sizeof(DATA_TYPE));
symmat_outputFromGpu = (DATA_TYPE*)malloc((M + 1)*(N + 1)*sizeof(DATA_TYPE));
init_arrays(data);
read_cl_file();
cl_initialization_fusion();
//cl_initialization();
cl_mem_init(data, mean, stddev, symmat);
cl_load_prog();
double start = rtclock();
cl_launch_kernel();
double end = rtclock();
fprintf(stdout, "CAUTION:CPU offset %d %% GPU Runtime: %0.6lf s\n",cpu_offset, (end - start));
//fprintf(stdout, "CAUTION:CPU offset %d %% GPU Runtime: %0.6lf s\n",cpu_offset, 1000*(end - start));
errcode = clEnqueueReadBuffer(clCommandQue[0], symmat_mem_obj, CL_TRUE, 0, (M+1) * (N+1) * sizeof(DATA_TYPE), symmat_outputFromGpu, 0, NULL, NULL);
if(errcode != CL_SUCCESS) printf("Error in reading GPU mem\n");
t_start = rtclock();
correlation(data, mean, stddev, symmat);
t_end = rtclock();
fprintf(stdout, "CPU Runtime: %0.6lfs\n", t_end - t_start);
compareResults(symmat, symmat_outputFromGpu);
cl_clean_up();
free(data);
free(mean);
free(stddev);
free(symmat);
free(symmat_outputFromGpu);
return 0;
}
boost::shared_ptr<StochasticProcess>
TwoFactorModel::ShortRateDynamics::process() const {
Matrix correlation(2,2);
correlation[0][0] = correlation[1][1] = 1.0;
correlation[0][1] = correlation[1][0] = correlation_;
std::vector<boost::shared_ptr<StochasticProcess1D> > processes;
processes[0] = xProcess_;
processes[1] = yProcess_;
return boost::shared_ptr<StochasticProcess>(
new StochasticProcessArray(processes,correlation));
}
double *linear_fit(dataset *dat, fit_conf *conf) {
double *fit, *fit_act;
double chng = 1;
double chng_o = 0;
int k, l;
fit = malloc(9 * sizeof(double));
if (!fit)
return NULL;
if (!(fit_act = init_fit(dat, conf)))
return NULL;
for (k = 0;
(k < conf->max_iter) && (chng >= conf->min_chng)
&& (fabs(chng_o - chng) > 1e-20); ++k) {
for (l = 0; l < 5; ++l)
fit[l] = fit_act[l];
free(fit_act);
fit_act = m_fit(dat, conf, fit[0], fit[2]);
if (fit_act != NULL) {
chng_o = chng;
chng = fabs(fit[0] - fit_act[0]);
} else {
fit_act = fit;
fit_act[5] = 4;
/*printf("Speicher konnte nicht zugewiesen werden,\n");*/
break;
}
}
if (k == conf->max_iter) {
/*printf("Maximale Anzahl Iterationen erreicht.\n");*/
fit_act[5] = 1;
} else if (chng < conf->min_chng) {
/*printf("Aenderung wurde zu klein.\n");*/
fit_act[5] = 2;
} else if (fabs(chng_o - chng) < 1e-20) {
/*printf("Daten eingependelt.\n");*/
fit_act[5] = 3;
}
/* 4 = speicher konnte nicht zugewiesen werden, iteration musste abgebrochen werden*/
/*Rueckgabe der Anzahl an Iterationen*/
fit_act[6] = k;
/*Rueckgabe der letzten Aenderung*/
fit_act[7] = chng;
/*Berechnung des Korellationskoeffizienten */
fit_act[4] = correlation(dat, conf);
if (fit != fit_act)
free(fit);
return fit_act;
}
double multipleCorrelation(double **X, double *y, int n, int m, double *b){
int i,j;
double *yprime;
yprime=allocateDoubleVector(m);
for (i=0; i<m; i++){
yprime[i]=0.0;
for (j=0; j<n; j++){
yprime[i]+=b[j]*X[i][j];
}
}
return correlation ((float*)y,(float*)yprime,m);
}
UpperTriangleVanillaSwaptionQuotes_ConstPTR create_UpperTriangleVanillaSwaptionQuotes(LMMTenorStructure_PTR pLMMTenorStructure, const Tenor& tenorfixedleg, const Tenor& tenorfloatleg)
{
/// Creation of Rebonato Approx ==================================
size_t nbFactor = 3; // need to test nbFactor = 3, and nbFactor =
size_t correlFullRank = pLMMTenorStructure->get_horizon()+1;
size_t correlReducedRank = nbFactor;
CorrelationReductionType::CorrelationReductionType correlReductionType = CorrelationReductionType::PCA;
double correlAlpha = 0.0;
double correlBeta = 0.1;
Correlation_PTR correlation(new XY_beta_Correlation(correlFullRank,correlReducedRank, correlReductionType,correlAlpha,correlBeta));
correlation->calculate(); // for print.
double a=0.22,b=0.4,c=0.6,d=0.15;
double g_constParam = 1.;
double shift_constParam = 0.0;
Shifted_HGVolatilityParam::ABCDParameter abcdParam(a,b,c,d);
ConstShifted_HGVolatilityParam_PTR pConstShifted_HGVolatilityParam( new ConstShifted_HGVolatilityParam(pLMMTenorStructure, abcdParam, g_constParam, shift_constParam));
Shifted_HGVolatilityFunction_PTR pVolatilityFunction (new ConstShifted_HGVolatilityFunction(pLMMTenorStructure, correlation, pConstShifted_HGVolatilityParam));
//! Dispersion
Dispersion dispersion(pVolatilityFunction);
Lmm_PTR lmm_ptr(new Lmm(dispersion) );
LmmVanillaSwaptionApproxPricer_Rebonato_PTR pLmmApproxVanillaSwaptionPricer(new LmmVanillaSwaptionApproxPricer_Rebonato(lmm_ptr));
/// End of creation of Rebonato Approx ==================================
LiborQuotes_ConstPTR libor_quote_ptr = LiborQuotes::create_LiborInit(pLMMTenorStructure, 0.02);
UpperTriangleVanillaSwaptionQuotes_ConstPTR atm_swaption_implied_vol_ptr = UpperTriangleVanillaSwaptionQuotes::create_ATMSwaptionImpliedVol(
libor_quote_ptr,
tenorfixedleg,
tenorfloatleg,
pLmmApproxVanillaSwaptionPricer
);
//assert( atm_swaption_implied_vol_ptr->check_swaprate_consistency(libor_quote_ptr) );
return atm_swaption_implied_vol_ptr;
}
void testBivariateStats(){
float x[]={95.0,85.0,80.0,70.0,60.0};
float y[]={85.0,95.0,70.0,65.0,70.0};
regressionCoefficients coeffs;
coeffs=regression(x,y,5);
printf("\nBivariate Stats\n");
printf("correlation =%f\n",correlation(x,y,5));
printf("covariance =%f\n",covariance(x,y,5));
printf("rmse =%f\n",rmse(x,y,5));
printf("bias =%f\n",bias(x,y,5));
printf("m =%f\n",coeffs.m);
printf("c =%f\n",coeffs.c);
}
//*************************************************************************
double cost(double **image,double *vec, int *bounds, int vecbounds[2], int ncols, int n) {
int i;
int ba=vecbounds[0];
int fa=vecbounds[1];
int bb,fb,deb,fin;
double s=0;
for(i=0;i<ncols;i++) {
if(i!=n) {
bb=bounds[2*i];
fb=bounds[2*i+1];
deb=(ba>bb?ba:bb);
fin=(fa<fb?fa:fb);
s+=correlation(vec+deb-ba, image[i]+deb-bb, fin-deb);
}
}
return s/ncols;
}
void B2Trk(B2ChnlPrms * chnlInst,char dataIn)
{
B2TrkPrms *trkInst = &(chnlInst->trkInst);
// 相关运算
correlation(chnlInst,dataIn);
//如果是一个完整的码周期
if (trkInst->oneCircle == 1)
{
// 鉴相
discriminator(trkInst);
//一阶滤波
trkInst->flt_codeLoop = codeLoopFilter(&(trkInst->lpf),trkInst->dis_dll);
//二阶滤波
trkInst->flt_carrierLoop = carrierLoopFilter(&(trkInst->lpf),trkInst->dis_pll,trkInst->dis_fll);
// 更新跟踪参数
updateTrk(chnlInst);
//比特流处理
//subFrameUpdate(chnl);
}
//↓↓↓↓↓↓ for test↓↓↓↓↓↓↓
if (outflag == 1)
{
writeToFile(chnlInst->TCAR.phs,(chnlInst->chnlID-1)*11+CAR_PHS_SRC_OUT);
writeToFile(chnlInst->TPRN.phs,(chnlInst->chnlID-1)*11+PRN_PHS_SRC_OUT);
writeToFile(chnlInst->trkInst.car.phs,(chnlInst->chnlID-1)*11+CAR_PHS_LCL_OUT);
writeToFile(chnlInst->trkInst.prn.phs.phsP,(chnlInst->chnlID-1)*11+PRN_PHS_LCL_OUT);
}
// ↑↑↑↑↑↑for test↑↑↑↑↑↑↑
}
double calcDistanceFromCluster(struct rnaBinder *rb, struct clusterMember *cmList,
struct dMatrix *sjIndex, struct dMatrix *psInten)
/* Calculate the distance from the rnaBinder intensity measurement to
the sjIndexes of the cluster members. If no intensity present use
0 as it will fall in the middle of [-1,1]. */
{
double sum = 0;
int count = 0;
int sjIx = 0, gsIx = 0;
struct clusterMember *cm = NULL;
double corr = 0;
if(sjIndex->colCount != psInten->colCount)
errAbort("Splice Junction and Intensity files must have same number of columns.");
/* Get the index of the gene set in the intensity file. */
gsIx = hashIntValDefault(psInten->nameIndex, rb->psName, -1);
if(gsIx == -1)
{
/* warn("Probe Set %s not found in intensitiy file."); */
return 0;
}
for(cm = cmList; cm != NULL; cm = cm->next)
{
/* For each member get the index in the splice junction file. */
sjIx = hashIntValDefault(sjIndex->nameIndex, cm->psName, -1);
if(sjIx == -1)
errAbort("Probe Set %s not found in SJ index file.");
corr = correlation(psInten->matrix[gsIx], sjIndex->matrix[sjIx], sjIndex->colCount);
sum += corr;
count++;
}
if(count == 0)
errAbort("No junctions in cluster.");
sum = sum / (double) count;
return sum;
}
void knnc(double *array_vec,int *nb_col,int *nb_row, int*k, int *corre_flag, double *dist, double *dist_bound)
{
int missing,i,j,ii;
int count;
double value;
double *temp;
double *row_nb;
double ** array;
int *miss_pos;
int index;
int *n_position;
int* nb_neighboors;
int min=0;
int max=*k-1;
array=dmatrix(*nb_row,*nb_col);
/** contain the row numbers of the missing values **/
miss_pos=ivector(*nb_col, code_miss);
/** contains the distances of the neighboors **/
temp=dvector(*k,code_miss);
/** contains the row numbers of the neighboors **/
row_nb=dvector(*k,code_miss);
/** initilize all the distances with the missing codes **/
init_dvector(dist, nb_row, code_miss);
n_position=ivector(*nb_row, code_miss); /** positions of potential neighboors **/
nb_neighboors=ivector(1, code_miss); /** number of neighboors **/
/** coerce the vector into a two dimmensional array **/
vec_mat(array_vec,nb_row,nb_col,array);
neighboors(array, nb_row, nb_col, n_position, nb_neighboors);
if(*nb_neighboors==0) /** Stop if no neighboors **/
{
error("No rows without missing values");
}
else
{
if(*nb_neighboors<*k) /** If less than k neighboors give a warning **/
warning("Only %d neighboors could be used", *nb_neighboors);
for(i=0;i<*nb_row;i++)
{
/** Check for missing values **/
missing=is_na(array[i],nb_col,miss_pos);
if (missing==1 && miss_pos[*nb_col-1]==code_miss) /**at least one missing value at most nb_col**/
{
if(*corre_flag==1 && miss_pos[*nb_col-2]!=code_miss) /** Give a warning if based on correlation and only one observation **/
warning("Could not estimate the missing values for the row %d\n One observation is not enough to compute the sample correlation", i+1);
else
{
count=0;
for(j=0;j<*nb_neighboors;j++) /** loop on the neighboors only **/
{
index=n_position[j];
if(*corre_flag==0)
value=distance(array[i],array[index],nb_col); /** compute the distance **/
else
value=-correlation(array[i],array[index],nb_col); /** compute the correlation **/
if(value!=code_miss)
{
if (count<*k) /** store the first k **/
{
temp[count]=value;
row_nb[count]=index;
count++;
}
else
{
quicksort2(temp,row_nb,&min,&max); /** sort the neighboors to keep the kth nearest **/
if (temp[*k-1]>value) /** keep it if the distance is shorter **/
{
temp[*k-1]=value;
row_nb[*k-1]=index;
}
}
}
}
if(*corre_flag==0)
{
fill_up(array,row_nb,nb_col,k,i,miss_pos,temp, dist_bound); /** fill up the missing values by the averaging the distance**/
dist[i]=mean_vec(temp, k); /** Compute the average distances **/
}
else
{
fill_up_corr(array,row_nb, nb_col, k,i, miss_pos, temp, dist_bound); /** fill up the missing values based on correlations**/
dist[i]=-mean_vec(temp, k); /** Compute the average distances **/
}
init_dvector(row_nb, k, code_miss); /** initialize row_nb with missing codes **/
init_dvector(temp, k, code_miss); /** initialize temp with missing codes **/
}
}
else if(missing==1 && miss_pos[*nb_col-1]!=code_miss)
warning("Could not estimate the missing values for the row %d\n The row only contains missing values", i+1);
}
}
mat_vec(array_vec, nb_row, nb_col,array); /** recoerce the matrix into a vector **/
/** free the memory **/
free_dmatrix(array,*nb_row);
Free(miss_pos);
Free(temp);
Free(row_nb);
Free(n_position);
Free(nb_neighboors);
}
void Test_McGeneticSwapLMMPricer()
{
//! Parameters
double strike = 0.02;
LMM::Index indexStart = 0;
LMM::Index indexEnd = 20;
Tenor floatingTenor = Tenor::_6M;
Tenor fixedTenor = Tenor::_12M;
Tenor tenorStruture = Tenor::_6M;
size_t horizonYear = 10;
LMMTenorStructure_PTR lmmTenorStructure( new LMMTenorStructure(tenorStruture, horizonYear));
cout << "strike: " << strike << endl;
cout << "indexStart: " << indexStart << endl;
cout << "indexEnd: " << indexEnd << endl;
cout << "tenorStrutureYearFraction: " << lmmTenorStructure->get_tenorType().YearFraction() << endl;
cout << "floatingVStenorStrutureRatio: " << floatingTenor.ratioTo(tenorStruture) << endl;
cout << "fixedVStenorStrutureRatio: " << fixedTenor.ratioTo(tenorStruture) << endl;
double fwdRate = 0.02;
std::vector<double> liborsInitValue(lmmTenorStructure->get_horizon()+1, fwdRate);
cout << "myInitialLibor: ";
for (size_t i = 0; i <liborsInitValue.size(); i++)
{
cout << liborsInitValue[i] << " ";
}
cout << endl;
cout << endl;
//VanillaSwap_Chi_Trang
VanillaSwap firstVersionVanillaSwap(strike, indexStart , indexEnd, floatingTenor, fixedTenor, lmmTenorStructure);
LmmVanillaSwapPricer myVSP(lmmTenorStructure);
double FirstVersionSwapPrice = myVSP.swapNPV_Analytical_1(firstVersionVanillaSwap, liborsInitValue);
//---------------------------Build Lmm and McLmm's structure--------------------------------------
//! Parameter of h
double a = -0.06;
double b = 0.17;
double c = 0.54;
double d = 0.17;
Shifted_HGVolatilityParam::ABCDParameter abcdParam (a,b,c,d);
//Parameter of hg
double g_constParam = 1.0;
double shift_constParam = -0.01;
ConstShifted_HGVolatilityParam_PTR hgParam( new ConstShifted_HGVolatilityParam(lmmTenorStructure,abcdParam,g_constParam,shift_constParam));
//! Correlation 1
size_t nbFactor = 3; // need to test nbFactor = 3, and nbFactor =
size_t correlFullRank = lmmTenorStructure->get_horizon()+1;
size_t correlReducedRank = nbFactor;
//!"Check Parameters(): Condition not implemented yet."
std::cout << "checkParams(): ";
CorrelationReductionType::CorrelationReductionType correlReductionType = CorrelationReductionType::PCA;
double correlAlpha = 0.0;
double correlBeta = 0.1;
Correlation_PTR correlation(new XY_beta_Correlation(correlFullRank,correlReducedRank, correlReductionType,correlAlpha,correlBeta));
correlation->calculate(); // for print.
correlation->print("test_McTerminalLmm_Correlation.csv");
//hgVolatilityFunction
ConstShifted_HGVolatilityFunction_PTR hgVolatilityFunction (new ConstShifted_HGVolatilityFunction(lmmTenorStructure, correlation, hgParam));
hgVolatilityFunction->print("test_McTerminalLmm_Volatility.csv");
//! Dispersion
Dispersion dispersion(hgVolatilityFunction);
unsigned long seed = 5033;
RNGenerator_PTR rnGenerator(new McGenerator(seed));
//build lmm and mcLmm model
Lmm_PTR shiftedLmm (new Lmm(dispersion));
McLmm_PTR mcLmm(new McTerminalLmm(shiftedLmm, liborsInitValue, rnGenerator, MCSchemeType::EULER));
//build a McGeneticSwapLMMPricer
McGeneticSwapLMMPricer_PTR mcGeneticSwapLMMPricer(new McGeneticSwapLMMPricer(mcLmm));
//build the geneticVanillaSwap
GeneticSwap_CONSTPTR vanillaSwap_Genetic=InstrumentFactory::createVanillaSwap(
strike,indexStart,indexEnd,floatingTenor,fixedTenor,lmmTenorStructure,1.0);
//use Monte Carlo Method
size_t nbSimulation=10000;
double MonteCarloPrice = mcGeneticSwapLMMPricer->swapNPV(vanillaSwap_Genetic, nbSimulation);
//ordinaryGeneticVanillaSwapPricer
GeneticVanillaSwapPricer_PTR geneticVanillaSwapPricer(new GeneticVanillaSwapPricer());
double OrdinaryGeneticVanillaSwapPrice = geneticVanillaSwapPricer->geneticVanillaSwap_Analytical(vanillaSwap_Genetic,liborsInitValue);
//subVanillaSwap
LMM::Index subIndexStart = 10;
LMM::Index subIndexEnd = 16;
GeneticSwap_CONSTPTR subVanillaSwap_Genetic=InstrumentFactory::createVanillaSwap(
strike,subIndexStart,subIndexEnd,floatingTenor,fixedTenor,lmmTenorStructure,1.0);
double subMonteCarloPrice = mcGeneticSwapLMMPricer->swapNPV(subVanillaSwap_Genetic, nbSimulation);
//subOrdinaryGeneticVanillaSwapPrice
double subOrdinaryGeneticVanillaSwapPrice = geneticVanillaSwapPricer->geneticVanillaSwap_Analytical(subVanillaSwap_Genetic,liborsInitValue);
//subFirstVersionVanillaSwapPrice
VanillaSwap subFirstVersionVanillaSwap(strike, subIndexStart , subIndexEnd, floatingTenor, fixedTenor, lmmTenorStructure);
double subFirstVersionSwapPrice = myVSP.swapNPV_Analytical_1(subFirstVersionVanillaSwap, liborsInitValue);
cout << "MonteCarloPrice: " << MonteCarloPrice << endl;
cout << "OrdinaryGeneticVanillaSwapPrice: " << OrdinaryGeneticVanillaSwapPrice << endl;
cout << "FirstVersionSwapPrice: " << FirstVersionSwapPrice << endl;
cout << "Difference between MonteCarloPrice and OrdinaryGeneticVanillaSwapPrice: " << MonteCarloPrice-OrdinaryGeneticVanillaSwapPrice << endl;
cout << "Difference between OrdinaryGeneticVanillaSwapPrice and FirstVersionSwapPrice: " << OrdinaryGeneticVanillaSwapPrice-FirstVersionSwapPrice << endl;
cout << "subMonteCarloPrice: " << subMonteCarloPrice << endl;
cout << "subOrdinaryGeneticVanillaSwapPrice: " << subOrdinaryGeneticVanillaSwapPrice << endl;
cout << "subFirstVersionSwapPrice: " << subFirstVersionSwapPrice << endl;
cout << "Difference between subMonteCarloPrice and subOrdinaryGeneticVanillaSwapPrice: " << subMonteCarloPrice-subOrdinaryGeneticVanillaSwapPrice << endl;
cout << "Difference between subOrdinaryGeneticVanillaSwapPrice and subFirstVersionSwapPrice: " << subOrdinaryGeneticVanillaSwapPrice-subFirstVersionSwapPrice << endl;
ofstream o;
o.open("TestResult_GeneticVanillaSwap_05_06.csv", ios::out | ios::app );
o << endl;
o << endl;
o << endl;
o << "strike: " << strike << endl;
o << "indexStart: " << indexStart << endl;
o << "indexEnd: " << indexEnd << endl;
o << "floatingTenorVSLmmStructureTenorRatio: " << floatingTenor.ratioTo(lmmTenorStructure->get_tenorType()) << endl;
o << "fixedTenorVSLmmStructureTenorRatio: " << fixedTenor.ratioTo(lmmTenorStructure->get_tenorType()) << endl;
o << "floatingTenorYearFraction: " << floatingTenor.YearFraction() << endl;
o << "fixedTenorYearFraction: " << fixedTenor.YearFraction() << endl;
o << "horizonYear: " << horizonYear << endl;
o << "liborsInitValue: ";
for(size_t i=0; i<liborsInitValue.size(); i++)
{
o << liborsInitValue[i] << " ";
}
o << endl;
o << "nbSimulation: " << nbSimulation << endl;
o << "PRICES: " << endl;
o << "MonteCarloPrice: " << MonteCarloPrice << endl;
o << "OrdinaryGeneticVanillaSwapPrice: " << OrdinaryGeneticVanillaSwapPrice << endl;
o << "FirstVersionSwapPrice: " << FirstVersionSwapPrice << endl;
o << "Difference between MonteCarloPrice and OrdinaryGeneticVanillaSwapPrice: " << MonteCarloPrice-OrdinaryGeneticVanillaSwapPrice << endl;
o << "Difference between OrdinaryGeneticVanillaSwapPrice and FirstVersionSwapPrice: " << OrdinaryGeneticVanillaSwapPrice-FirstVersionSwapPrice << endl;
o << "SUBPRICES: "<< endl;
o << "subIndexStart: " << subIndexStart << endl;
o << "subIndexEnd: " << subIndexEnd << endl;
o << "subMonteCarloPrice: " << subMonteCarloPrice << endl;
o << "subOrdinaryGeneticVanillaSwapPrice: " << subOrdinaryGeneticVanillaSwapPrice << endl;
o << "subFirstVersionSwapPrice: " << subFirstVersionSwapPrice << endl;
o << "Difference between subMonteCarloPrice and subOrdinaryGeneticVanillaSwapPrice: " << subMonteCarloPrice-subOrdinaryGeneticVanillaSwapPrice << endl;
o << "Difference between subOrdinaryGeneticVanillaSwapPrice and subFirstVersionSwapPrice: " << subOrdinaryGeneticVanillaSwapPrice-subFirstVersionSwapPrice << endl;
o.close();
}
static int
guessSize(int fd, TIFFDataType dtype, off_t hdr_size, uint32 nbands,
int swab, uint32 *width, uint32 *length)
{
const float longt = 40.0; /* maximum possible height/width ratio */
char *buf1, *buf2;
struct stat filestat;
uint32 w, h, scanlinesize, imagesize;
uint32 depth = TIFFDataWidth(dtype);
float cor_coef = 0, tmp;
fstat(fd, &filestat);
if (filestat.st_size < hdr_size) {
fprintf(stderr, "Too large header size specified.\n");
return -1;
}
imagesize = (filestat.st_size - hdr_size) / nbands / depth;
if (*width != 0 && *length == 0) {
fprintf(stderr, "Image height is not specified.\n");
*length = imagesize / *width;
fprintf(stderr, "Height is guessed as %lu.\n",
(unsigned long)*length);
return 1;
} else if (*width == 0 && *length != 0) {
fprintf(stderr, "Image width is not specified.\n");
*width = imagesize / *length;
fprintf(stderr, "Width is guessed as %lu.\n",
(unsigned long)*width);
return 1;
} else if (*width == 0 && *length == 0) {
fprintf(stderr, "Image width and height are not specified.\n");
#if defined(__INTEL_COMPILER) && 1 /* VDM auto patch */
# pragma ivdep
# pragma swp
# pragma unroll
# pragma prefetch
# if 0
# pragma simd noassert
# endif
#endif /* VDM auto patch */
for (w = (uint32) sqrt(imagesize / longt);
w < sqrt(imagesize * longt);
w++) {
if (imagesize % w == 0) {
scanlinesize = w * depth;
buf1 = _TIFFmalloc(scanlinesize);
buf2 = _TIFFmalloc(scanlinesize);
h = imagesize / w;
lseek(fd, hdr_size + (int)(h/2)*scanlinesize,
SEEK_SET);
read(fd, buf1, scanlinesize);
read(fd, buf2, scanlinesize);
if (swab) {
swapBytesInScanline(buf1, w, dtype);
swapBytesInScanline(buf2, w, dtype);
}
tmp = (float) fabs(correlation(buf1, buf2,
w, dtype));
if (tmp > cor_coef) {
cor_coef = tmp;
*width = w, *length = h;
}
_TIFFfree(buf1);
_TIFFfree(buf2);
}
}
fprintf(stderr,
"Width is guessed as %lu, height is guessed as %lu.\n",
(unsigned long)*width, (unsigned long)*length);
return 1;
} else {
if (filestat.st_size<(off_t)(hdr_size+(*width)*(*length)*nbands*depth)) {
fprintf(stderr, "Input file too small.\n");
return -1;
}
}
return 1;
}
void preoptim(int nv)
{
int answ,k,i,s,gdrive=VGA,gmode=2;
long n[3];
double c[16],pv[16];
extern int npexp;
extern double pexpx[],pexpy[],pexpz[];
extern char namesch[],statpexp[];
int grafcond(void);
void grafica(int, double *pv);
void inspect(double *pv);
int search(long nsteps,long npoints,int nv,double *pv,double *c);
int search1(long nsteps,long npoints,double *a,double *c);
void searchpar(long *n);
void eliminate(void);
void initial(int nv,double *pv,double *c);
void initial1(int nv,double *pv,double *c);
int npgr;
double correlation(double *pv);
for(i=0;i<npexp;i++)
statpexp[i]=1;
npgr=grafcond();
initgraph(&gdrive,&gmode,"");
answ=5993;
do
{
switch(answ)
{
case 5993:
initial(nv,pv,c);
case 6512:
n[2]=long(nv);
searchpar(n);
case 11875:
if(nv==1)
s=search1(n[1],n[0],pv,c);
else
s=search(n[1],n[0],nv,pv,c);
switch(s)
{
case 1:
puts("This is what you are searching for!");
break;
case 2:
puts("Continue ! Modify parameters with <p> if you want.");
break;
case 0:
if(nv==1)
{
puts("Raise npoints from <p> !");
break;
}
default:
puts("Something is bad !");
return;
}
break;
case 12654:
inspect(pv);
break;
case 561:
initial1(nv,pv,c);
break;
case 4978:
printf("correlation coefficient = %f\n",correlation(pv));
break;
case 7777:
npgr=grafcond();
case 8807:
puts("YOU MUST WAIT A LITTLE !");
grafica(npgr,pv);
break;
case 4709:
eliminate();
break;
default:
puts(" Initialization search Parameters Continue");
puts(" Eliminate/insert iNspect coRrelation");
puts(" Graphics graph quAlity Stop");
printf(" (i/p/c\n e/n/r\n g/a/s)\n ");
}
flushall();
answ=bioskey(0);
}
while(answ!=8051);
closegraph();
puts("FINAL VALUES :");
for(k=0;k<nv;k++)
{
printf("%2d ",k);
for(i=0;i<10;i++)
printf("%c",namesch[10*k+i]);
printf(" %12.7e\n",pv[k]);
}
return;
}
/**
* Train a fern cascade.
* @param images training images in gray scale
* @param normalize_matrix similarity matrix
* @param target_shapes target shapes of each face image
* @param mean_shape mean shape
* @param second_level_num level number for second level regression
* @param current_shapes current shapes of training images
* @param pixel_pair_num number of pair of pixels to be selected
* @param normalized_targets (target - current) * normalize_matrix
*/
void FernCascade::train(const vector<Mat_<uchar> >& images,
const vector<Mat_<double> >& target_shapes,
int second_level_num,
vector<Mat_<double> >& current_shapes,
int pixel_pair_num,
vector<Mat_<double> >& normalized_targets,
int pixel_pair_in_fern,
const Mat_<double>& mean_shape,
const vector<Bbox>& target_bounding_box){
second_level_num_ = second_level_num;
// coordinates of selected pixels
Mat_<double> pixel_coordinates(pixel_pair_num,2);
Mat_<int> nearest_keypoint_index(pixel_pair_num,1);
RNG random_generator(getTickCount());
int landmark_num = current_shapes[0].rows;
int training_num = images.size();
int image_width = images[0].cols;
int image_height = images[0].rows;
/* vector<Mat_<double> > normalized_curr_shape; */
// get bounding box of target shapes
vector<Mat_<double> > normalized_shapes;
/* vector<Mat_<double> > normalized_ground_truth; */
normalized_shapes = project_shape(current_shapes,target_bounding_box);
/* normalized_ground_truth = project_shape(target_shapes,target_bounding_box); */
/*
vector<SimilarityTransform> curr_to_mean_shape;
vector<SimilarityTransform> ground_to_mean_shape;
curr_to_mean_shape = get_similarity_transform(mean_shape,normalized_shapes);
ground_to_mean_shape = get_similarity_transform(mean_shape,normalized_ground_truth);
vector<Mat_<double> > curr_project_to_mean;
vector<Mat_<double> > ground_project_to_mean;
for(int i = 0;i < current_shapes.size();i++){
ipd// get normalized_targets
Mat_<double> temp = curr_to_mean_shape[i].apply_similarity_transform(normalized_shapes[i]);
curr_project_to_mean.push_back(temp.clone());
temp = ground_to_mean_shape[i].apply_similarity_transform(normalized_ground_truth[i]);
ground_to_mean_shape.push_back(temp.clone());
}i
*/
// calculate normalized targets
normalized_targets = inverse_shape(current_shapes,target_bounding_box);
normalized_targets = compose_shape(normalized_targets,target_shapes,target_bounding_box);
for(int i = 0;i < normalized_targets.size();i++){
Mat_<double> rotation;
Mat_<double> translation;
double scale;
translate_scale_rotate(mean_shape,normalized_shapes[i],translation,scale,rotation);
transpose(rotation,rotation);
normalized_targets[i] = scale * normalized_targets[i] * rotation;
}
// normalized_targets.clear();
// for(int i = 0;i < curr_project_to_mean.size();i++){
// normalized_targets.push_back(ground_project_to_mean[i] - curr_project_to_mean[i]);
// }
// generate feature pixel location
for(int i = 0;i < pixel_pair_num;i++){
double x = random_generator.uniform(-1.0,1.0);
double y = random_generator.uniform(-1.0,1.0);
if(x*x + y*y > 1){
i--;
continue;
}
// get its nearest landmark
double min_dist = 1e10;
int min_index = 0;
for(int j = 0;j < landmark_num;j++){
double temp = pow(mean_shape(j,0) - x,2.0) + pow(mean_shape(j,1) - y,2.0);
if(temp < min_dist){
min_dist = temp;
min_index = j;
}
}
nearest_keypoint_index(i) = min_index;
pixel_coordinates(i,0) = x - mean_shape(min_index,0);
pixel_coordinates(i,1) = y - mean_shape(min_index,1);
}
// get feature pixel location for each image
// for pixel_density, each vector in it stores the pixel value for each image on the corresponding pixel locations
vector<vector<double> > pixel_density;
pixel_density.resize(pixel_pair_num);
for(int i = 0;i < normalized_shapes.size();i++){
// similarity transform from normalized_shapes to mean shape
Mat_<double> rotation(2,2);
Mat_<double> translation(landmark_num,2);
double scale = 0;
translate_scale_rotate(normalized_shapes[i],mean_shape,translation,scale,rotation);
for(int j = 0;j < pixel_pair_num;j++){
double x = pixel_coordinates(j,0);
double y = pixel_coordinates(j,1);
double project_x = rotation(0,0) * x + rotation(0,1) * y;
double project_y = rotation(1,0) * x + rotation(1,1) * y;
project_x = project_x * scale;
project_y = project_y * scale;
// resize according to bounding_box
project_x = project_x * target_bounding_box[i].width/2.0;
project_y = project_y * target_bounding_box[i].height/2.0;
int index = nearest_keypoint_index(j);
int real_x = project_x + current_shapes[i](index,0);
int real_y = project_y + current_shapes[i](index,1);
if(real_x < 0){
real_x = 0;
}
if(real_y < 0){
real_y = 0;
}
if(real_x > images[i].cols-1){
real_x = images[i].cols-1;
}
if(real_y > images[i].rows - 1){
real_y = images[i].rows - 1;
}
pixel_density[j].push_back(int(images[i](real_y,real_x)));
}
}
// calculate the correlation between pixels
Mat_<double> correlation(pixel_pair_num,pixel_pair_num);
for(int i = 0;i < pixel_pair_num;i++){
for(int j = i;j< pixel_pair_num;j++){
double correlation_result = calculate_covariance(pixel_density[i],pixel_density[j]);
correlation(i,j) = correlation_result;
correlation(j,i) = correlation_result;
}
}
// train ferns
primary_fern_.resize(second_level_num);
// predications for each shape
vector<Mat_<double> > prediction;
prediction.resize(current_shapes.size());
for(int i = 0;i < current_shapes.size();i++){
prediction[i] = Mat::zeros(landmark_num,2,CV_64FC1);
}
for(int i = 0;i < second_level_num;i++){
cout<<"Training fern "<<i<<endl;
primary_fern_[i].train(pixel_density,correlation,pixel_coordinates,nearest_keypoint_index, current_shapes,pixel_pair_in_fern,normalized_targets,
prediction);
}
for(int i = 0;i < prediction.size();i++){
Mat_<double> rotation;
Mat_<double> translation;
double scale;
translate_scale_rotate(normalized_shapes[i],mean_shape,translation,scale,rotation);
transpose(rotation,rotation);
prediction[i] = scale * prediction[i] * rotation;
}
current_shapes = compose_shape(prediction, current_shapes, target_bounding_box);
current_shapes = reproject_shape(current_shapes, target_bounding_box);
/* Mat_<uchar> test_image_1 = images[10].clone(); */
// for(int i = 0;i < landmark_num;i++){
// circle(test_image_1,Point2d(current_shapes[10](i,0),current_shapes[10](i,1)),3,Scalar(255,0,0),-1,8,0);
// }
// imshow("result",test_image_1);
/* waitKey(0); */
}
void Key::compute() {
const vector<Real>& pcp = _pcp.get();
int pcpsize = (int)pcp.size();
int n = pcpsize/12;
if (pcpsize < 12 || pcpsize % 12 != 0)
throw EssentiaException("Key: input PCP size is not a positive multiple of 12");
if (pcpsize != (int)_profile_dom.size()) {
resize(pcpsize);
}
///////////////////////////////////////////////////////////////////
// compute correlation
// Compute means
Real mean_pcp = mean(pcp);
Real std_pcp = 0;
// Compute Standard Deviations
for (int i=0; i<pcpsize; i++)
std_pcp += (pcp[i] - mean_pcp) * (pcp[i] - mean_pcp);
std_pcp = sqrt(std_pcp);
// Compute correlation matrix
int keyIndex = -1; // index of the first maximum
Real max = -1; // first maximum
Real max2 = -1; // second maximum
int scale = MAJOR; // scale
// Compute maximum for major, minor and other.
Real maxMajor = -1;
Real max2Major = -1;
int keyIndexMajor = -1;
Real maxMinor = -1;
Real max2Minor = -1;
int keyIndexMinor = -1;
Real maxOther = -1;
Real max2Other = -1;
int keyIndexOther = -1;
// calculate the correlation between the profiles and the PCP...
// we shift the profile around to find the best match
for (int shift=0; shift<pcpsize; shift++) {
/*
// Penalization if the Tonic has not a minimum amplitude
// max_pcp needs to be calculated...
Real factor = pcp[i]/max_pcp;
if (factor < 0.6) {
corrMajor *= factor / 0.6;
corrMinor *= factor / 0.6;
}
*/
Real corrMajor = correlation(pcp, mean_pcp, std_pcp, _profile_doM, _mean_profile_M, _std_profile_M, shift);
// Compute maximum value for major keys
if (corrMajor > maxMajor) {
max2Major = maxMajor;
maxMajor = corrMajor;
keyIndexMajor = shift;
}
Real corrMinor = correlation(pcp, mean_pcp, std_pcp, _profile_dom, _mean_profile_m, _std_profile_m, shift);
// Compute maximum value for minor keys
if (corrMinor > maxMinor) {
max2Minor = maxMinor;
maxMinor = corrMinor;
keyIndexMinor = shift;
}
Real corrOther = 0;
if (_useMajMin) {
corrOther = correlation(pcp, mean_pcp, std_pcp, _profile_doO, _mean_profile_O, _std_profile_O, shift);
// Compute maximum value for other keys
if (corrOther > maxOther) {
max2Other = maxOther;
maxOther = corrOther;
keyIndexOther = shift;
}
}
}
if (maxMajor > maxMinor && maxMajor > maxOther) {
keyIndex = (int) (keyIndexMajor * 12 / pcpsize + 0.5);
scale = MAJOR;
max = maxMajor;
max2 = max2Major;
}
else if (maxMinor >= maxMajor && maxMinor >= maxOther) {
keyIndex = (int) (keyIndexMinor * 12 / pcpsize + 0.5);
scale = MINOR;
max = maxMinor;
max2 = max2Minor;
}
else if (maxOther > maxMajor && maxOther > maxMinor) {
keyIndex = (int) (keyIndexOther * 12 / pcpsize + 0.5);
scale = MAJMIN;
max = maxOther;
max2 = max2Other;
}
// In the case of Wei Chai algorithm, the scale is detected in a second step
// In this point, always the major relative is detected, as it is the first
// maximum
if (_profileType == "weichai") {
if (scale == MINOR)
throw EssentiaException("Key: error in Wei Chai algorithm. Wei Chai algorithm does not support minor scales.");
int fifth = keyIndex + 7*n;
if (fifth > pcpsize)
fifth -= pcpsize;
int sixth = keyIndex + 9*n;
if (sixth > pcpsize)
sixth -= pcpsize;
if (pcp[sixth] > pcp[fifth]) {
keyIndex = sixth;
keyIndex = (int) (keyIndex * 12 / pcpsize + .5);
scale = MINOR;
}
}
// keyIndex = (int)(keyIndex * 12.0 / pcpsize + 0.5) % 12;
if (keyIndex < 0) {
throw EssentiaException("Key: keyIndex smaller than zero. Could not find key.");
}
//////////////////////////////////////////////////////////////////////////////
// Here we calculate the outputs...
// first three outputs are key, scale and strength
_key.get() = _keys[keyIndex];
if (scale == MAJOR) {
_scale.get() = "major";
}
else if (scale == MINOR) {
_scale.get() = "minor";
}
else if (scale == MAJMIN) {
_scale.get() = "majmin";
}
_strength.get() = max;
// this one outputs the relative difference between the maximum and the
// second highest maximum (i.e. Compute second highest correlation peak)
_firstToSecondRelativeStrength.get() = (max - max2) / max;
}
double correlation(const QVector<double> &v1, const QVector<double> &v2) {
return correlation(begin(v1), end(v1), begin(v2));
}
int main(void)
{
/* Prepare ctuning vars */
long ct_repeat=0;
long ct_repeat_max=1;
DATA_TYPE* data;
DATA_TYPE* mean;
DATA_TYPE* stddev;
DATA_TYPE* symmat;
DATA_TYPE* symmat_outputFromGpu;
#ifdef OPENME
openme_init(NULL,NULL,NULL,0);
openme_callback("PROGRAM_START", NULL);
#endif
/* Run kernel. */
if (getenv("CT_REPEAT_MAIN")!=NULL) ct_repeat_max=atol(getenv("CT_REPEAT_MAIN"));
data = (DATA_TYPE*)malloc((M + 1)*(N + 1)*sizeof(DATA_TYPE));
mean = (DATA_TYPE*)malloc((M + 1)*sizeof(DATA_TYPE));
stddev = (DATA_TYPE*)malloc((M + 1)*sizeof(DATA_TYPE));
symmat = (DATA_TYPE*)malloc((M + 1)*(N + 1)*sizeof(DATA_TYPE));
symmat_outputFromGpu = (DATA_TYPE*)malloc((M + 1)*(N + 1)*sizeof(DATA_TYPE));
srand(1);
init_arrays(data);
read_cl_file();
cl_initialization();
cl_mem_init(data, mean, stddev, symmat);
cl_load_prog();
#ifdef OPENME
openme_callback("ACC_KERNEL_START", NULL);
#endif
for (ct_repeat=0; ct_repeat<ct_repeat_max; ct_repeat++)
{
cl_launch_kernel();
err_code = clEnqueueReadBuffer(clCommandQue, symmat_mem_obj, CL_TRUE, 0, (M+1) * (N+1) * sizeof(DATA_TYPE), symmat_outputFromGpu, 0, NULL, NULL);
if(err_code != CL_SUCCESS)
{
printf("Error in reading GPU mem\n");
exit(1);
}
}
#ifdef OPENME
openme_callback("ACC_KERNEL_END", NULL);
#endif
srand(1);
init_arrays(data);
#ifdef OPENME
openme_callback("KERNEL_START", NULL);
#endif
for (ct_repeat=0; ct_repeat<ct_repeat_max; ct_repeat++)
{
correlation(data, mean, stddev, symmat);
}
#ifdef OPENME
openme_callback("KERNEL_END", NULL);
#endif
compareResults(symmat, symmat_outputFromGpu);
cl_clean_up();
free(data);
free(mean);
free(stddev);
free(symmat);
free(symmat_outputFromGpu);
#ifdef OPENME
openme_callback("PROGRAM_END", NULL);
#endif
return 0;
}
int main(){
int i, N;
char c, file[100];
// check that gnuplot is present on the system
int gnupl = control();
if(gnupl == 1){
printf("\nYou need gnuplot to graph the results.");
printf("\nInstall it with: sudo apt-get install gnuplot\n\n");
exit(2);
}
printf("Enter the name or path of file: ");
fgets(file,sizeof(file),stdin);
file[strlen(file)-1] = '\0';
// the file's lines number is the number of points to be saved
N = linesFile(file);
if(N <= 2){
printf("\nError: insufficient data number.\n");
exit(2);
}
// creating data's arrays
double *x = calloc(N,sizeof(double));
double *y = calloc(N,sizeof(double));
double *errors = calloc(N,sizeof(double));
if(x == NULL || y == NULL || errors == NULL){
perror("\nerror");
printf("\n");
exit(1);
}
// reading from file
FILE *inputFile = fopen(file,"r");
if(inputFile == NULL){
perror("\nError");
exit(1);
}
for(i=0; i<N; i++){
fscanf(inputFile,"%lf %lf %lf\n",&x[i],&y[i],&errors[i]);
}
fclose(inputFile);
// determine linear coefficients
double M = Mbest(N,x,y,errors);
double Q = Qbest(N,x,y,errors,M);
double sigmaM = fabs(uM(N,x,y,errors,M,Q));
double sigmaQ = fabs(uQ(N,x,errors,sigmaM));
// defining best sigma(Y) and correlation coefficient
double sigmaY = fabs(bestSigma(N,x,y,M,Q)); // <-- residuals analysis
double cov = covariance(N,x,y);
double cor = correlation(N,x,y);
double lCov = linearParamCovariance(N,mean(x,N),sigma(x,N,mean(x,N)),sigmaY,M,Q);
double lCor = linearParamCorrelation(N,x);
// Chi-square test
int freedomDegrees = N - 2; // infer 2 parameters (): M and Q
double chi2 = 0, rChi2;
for(i=0; i<N; i++){
chi2 += pow(y[i] - ((M * x[i]) + Q),2) / pow(errors[i],2);
}
rChi2 = chi2 / freedomDegrees;
printf("\nThe best linear fit Y = mX + q is:");
printf("\nm = %.3lf\tsigma(m) = %.3lf\nq = %.3lf\tsigma(q) = %.3lf",M,sigmaM,Q,sigmaQ);
printf("\n\nBest sigma(Y) = %.3lf",sigmaY);
printf("\nCov(X,Y) = %.3lf",cov);
printf("\nCor(X,Y) = %.3lf",cor);
printf("\nCov(m,c) = %.3lf",lCov);
printf("\nCor(m,c) = %.3lf",lCor);
//printf("\nChi square = %.3lf",chi2);
printf("\nReduced Chi square = %.3lf",rChi2);
// interpolation and extrapolation
int choice;
double pointX, pointY, sigmaPointY, alpha;
printf("\n\nDo you want to extrapolate a point with the calculated linear regression? (1 = YES | 0 = NO): ");
scanf("%d",&choice);
if(choice == 1){
extrapolation(N,x,errors,sigmaY,M,Q);
}
// creating fit
printf("\nPlotting fit...\n");
FILE *data = fopen("data.dat","w");
if(data == NULL){
perror("\nError");
exit(1);
}
// writing experimental datas
for(i=0; i<N; i++){
fprintf(data,"%lf %lf %lf\n",x[i],y[i],errors[i]);
}
fclose(data);
// creating fit points
//fit(M,Q,x,N); // gnuplot feature
free(x);
free(y);
return 0;
}
static int
guessSize(int fd, TIFFDataType dtype, _TIFF_off_t hdr_size, uint32 nbands,
int swab, uint32 *width, uint32 *length)
{
const float longt = 40.0; /* maximum possible height/width ratio */
char *buf1, *buf2;
_TIFF_stat_s filestat;
uint32 w, h, scanlinesize, imagesize;
uint32 depth = TIFFDataWidth(dtype);
float cor_coef = 0, tmp;
if (_TIFF_fstat_f(fd, &filestat) == -1) {
fprintf(stderr, "Failed to obtain file size.\n");
return -1;
}
if (filestat.st_size < hdr_size) {
fprintf(stderr, "Too large header size specified.\n");
return -1;
}
imagesize = (filestat.st_size - hdr_size) / nbands / depth;
if (*width != 0 && *length == 0) {
fprintf(stderr, "Image height is not specified.\n");
*length = imagesize / *width;
fprintf(stderr, "Height is guessed as %lu.\n",
(unsigned long)*length);
return 1;
} else if (*width == 0 && *length != 0) {
fprintf(stderr, "Image width is not specified.\n");
*width = imagesize / *length;
fprintf(stderr, "Width is guessed as %lu.\n",
(unsigned long)*width);
return 1;
} else if (*width == 0 && *length == 0) {
unsigned int fail = 0;
fprintf(stderr, "Image width and height are not specified.\n");
w = (uint32) sqrt(imagesize / longt);
if( w == 0 )
{
fprintf(stderr, "Too small image size.\n");
return -1;
}
for (;
w < sqrt(imagesize * longt);
w++) {
if (imagesize % w == 0) {
scanlinesize = w * depth;
buf1 = _TIFFmalloc(scanlinesize);
buf2 = _TIFFmalloc(scanlinesize);
h = imagesize / w;
do {
if (_TIFF_lseek_f(fd, hdr_size + (int)(h/2)*scanlinesize,
SEEK_SET) == (_TIFF_off_t)-1) {
fprintf(stderr, "seek error.\n");
fail=1;
break;
}
if (read(fd, buf1, scanlinesize) !=
(long) scanlinesize) {
fprintf(stderr, "read error.\n");
fail=1;
break;
}
if (read(fd, buf2, scanlinesize) !=
(long) scanlinesize) {
fprintf(stderr, "read error.\n");
fail=1;
break;
}
if (swab) {
swapBytesInScanline(buf1, w, dtype);
swapBytesInScanline(buf2, w, dtype);
}
tmp = (float) fabs(correlation(buf1, buf2,
w, dtype));
if (tmp > cor_coef) {
cor_coef = tmp;
*width = w, *length = h;
}
} while (0);
_TIFFfree(buf1);
_TIFFfree(buf2);
}
}
if (fail) {
return -1;
}
fprintf(stderr,
"Width is guessed as %lu, height is guessed as %lu.\n",
(unsigned long)*width, (unsigned long)*length);
return 1;
} else {
if (filestat.st_size<(_TIFF_off_t)(hdr_size+(*width)*(*length)*nbands*depth)) {
fprintf(stderr, "Input file too small.\n");
return -1;
}
}
return 1;
}
void
LognormalCmsSpreadPricer::initialize(const FloatingRateCoupon &coupon) {
coupon_ = dynamic_cast<const CmsSpreadCoupon *>(&coupon);
QL_REQUIRE(coupon_, "CMS spread coupon needed");
index_ = coupon_->swapSpreadIndex();
gearing_ = coupon_->gearing();
spread_ = coupon_->spread();
fixingDate_ = coupon_->fixingDate();
paymentDate_ = coupon_->date();
// if no coupon discount curve is given just use the discounting curve
// from the _first_ swap index.
// for rate calculation this curve cancels out in the computation, so
// e.g. the discounting
// swap engine will produce correct results, even if the
// couponDiscountCurve is not set here.
// only the price member function in this class will be dependent on the
// coupon discount curve.
today_ = QuantLib::Settings::instance().evaluationDate();
if (couponDiscountCurve_.empty())
couponDiscountCurve_ =
index_->swapIndex1()->exogenousDiscount()
? index_->swapIndex1()->discountingTermStructure()
: index_->swapIndex1()->forwardingTermStructure();
discount_ = paymentDate_ > couponDiscountCurve_->referenceDate()
? couponDiscountCurve_->discount(paymentDate_)
: 1.0;
spreadLegValue_ = spread_ * coupon_->accrualPeriod() * discount_;
gearing1_ = index_->gearing1();
gearing2_ = index_->gearing2();
QL_REQUIRE(gearing1_ > 0.0 && gearing2_ < 0.0,
"gearing1 (" << gearing1_
<< ") should be positive while gearing2 ("
<< gearing2_ << ") should be negative");
c1_ = ext::shared_ptr<CmsCoupon>(new CmsCoupon(
coupon_->date(), coupon_->nominal(), coupon_->accrualStartDate(),
coupon_->accrualEndDate(), coupon_->fixingDays(),
index_->swapIndex1(), 1.0, 0.0, coupon_->referencePeriodStart(),
coupon_->referencePeriodEnd(), coupon_->dayCounter(),
coupon_->isInArrears()));
c2_ = ext::shared_ptr<CmsCoupon>(new CmsCoupon(
coupon_->date(), coupon_->nominal(), coupon_->accrualStartDate(),
coupon_->accrualEndDate(), coupon_->fixingDays(),
index_->swapIndex2(), 1.0, 0.0, coupon_->referencePeriodStart(),
coupon_->referencePeriodEnd(), coupon_->dayCounter(),
coupon_->isInArrears()));
c1_->setPricer(cmsPricer_);
c2_->setPricer(cmsPricer_);
if (fixingDate_ > today_) {
fixingTime_ = cmsPricer_->swaptionVolatility()->timeFromReference(
fixingDate_);
swapRate1_ = c1_->indexFixing();
swapRate2_ = c2_->indexFixing();
adjustedRate1_ = c1_->adjustedFixing();
adjustedRate2_ = c2_->adjustedFixing();
ext::shared_ptr<SwaptionVolatilityStructure> swvol =
*cmsPricer_->swaptionVolatility();
ext::shared_ptr<SwaptionVolatilityCube> swcub =
ext::dynamic_pointer_cast<SwaptionVolatilityCube>(swvol);
if(inheritedVolatilityType_ && volType_ == ShiftedLognormal) {
shift1_ =
swvol->shift(fixingDate_, index_->swapIndex1()->tenor());
shift2_ =
swvol->shift(fixingDate_, index_->swapIndex2()->tenor());
}
if (swcub == NULL) {
// not a cube, just an atm surface given, so we can
// not easily convert volatilities and just forbid it
QL_REQUIRE(inheritedVolatilityType_,
"if only an atm surface is given, the volatility "
"type must be inherited");
vol1_ = swvol->volatility(
fixingDate_, index_->swapIndex1()->tenor(), swapRate1_);
vol2_ = swvol->volatility(
fixingDate_, index_->swapIndex2()->tenor(), swapRate2_);
} else {
vol1_ = swcub->smileSection(fixingDate_,
index_->swapIndex1()->tenor())
->volatility(swapRate1_, volType_, shift1_);
vol2_ = swcub->smileSection(fixingDate_,
index_->swapIndex2()->tenor())
->volatility(swapRate2_, volType_, shift2_);
}
if(volType_ == ShiftedLognormal) {
mu1_ = 1.0 / fixingTime_ * std::log((adjustedRate1_ + shift1_) /
(swapRate1_ + shift1_));
mu2_ = 1.0 / fixingTime_ * std::log((adjustedRate2_ + shift2_) /
(swapRate2_ + shift2_));
}
// for the normal volatility case we do not need the drifts
// but rather use adjusted rates directly in the integrand
rho_ = std::max(std::min(correlation()->value(), 0.9999),
-0.9999); // avoid division by zero in integrand
} else {
// fixing is in the past or today
adjustedRate1_ = c1_->indexFixing();
adjustedRate2_ = c2_->indexFixing();
}
}
void KeyEDM3::compute() {
const vector<Real>& pcp = _pcp.get();
int pcpsize = (int)pcp.size();
int n = pcpsize/12;
if (pcpsize < 12 || pcpsize % 12 != 0)
throw EssentiaException("KeyEDM3: input PCP size is not a positive multiple of 12");
if (pcpsize != (int)_profile_dom.size()) {
resize(pcpsize);
}
// Compute Correlation
// Means
Real mean_pcp = mean(pcp);
Real std_pcp = 0;
// Standard Deviations
for (int i=0; i<pcpsize; i++)
std_pcp += (pcp[i] - mean_pcp) * (pcp[i] - mean_pcp);
std_pcp = sqrt(std_pcp);
// Correlation Matrix
int keyIndex = -1; // index of the first maximum
Real max = -1; // first maximum
Real max2 = -1; // second maximum
int scale = MAJOR; // scale
// Compute maximum for major, minor and other.
Real maxMajor = -1;
Real max2Major = -1;
int keyIndexMajor = -1;
Real maxMinor = -1;
Real max2Minor = -1;
int keyIndexMinor = -1;
Real maxOther = -1;
Real max2Other = -1;
int keyIndexOther = -1;
// calculate the correlation between the profiles and the PCP...
// we shift the profile around to find the best match
for (int shift=0; shift<pcpsize; shift++) {
Real corrMajor = correlation(pcp, mean_pcp, std_pcp, _profile_doM, _mean_profile_M, _std_profile_M, shift);
// Compute maximum value for major keys
if (corrMajor > maxMajor) {
max2Major = maxMajor;
maxMajor = corrMajor;
keyIndexMajor = shift;
}
Real corrMinor = correlation(pcp, mean_pcp, std_pcp, _profile_dom, _mean_profile_m, _std_profile_m, shift);
// Compute maximum value for minor keys
if (corrMinor > maxMinor) {
max2Minor = maxMinor;
maxMinor = corrMinor;
keyIndexMinor = shift;
}
Real corrOther = correlation(pcp, mean_pcp, std_pcp, _profile_doO, _mean_profile_O, _std_profile_O, shift);
// Compute maximum value for other keys
if (corrOther > maxOther) {
max2Other = maxOther;
maxOther = corrOther;
keyIndexOther = shift;
}
}
if (maxMajor > maxMinor && maxMajor > maxOther) {
keyIndex = (int) (keyIndexMajor * 12 / pcpsize + 0.5);
scale = MAJOR;
max = maxMajor;
max2 = max2Major;
}
else if (maxMinor >= maxMajor && maxMinor >= maxOther) {
keyIndex = (int) (keyIndexMinor * 12 / pcpsize + 0.5);
scale = MINOR;
max = maxMinor;
max2 = max2Minor;
}
else if (maxOther > maxMajor && maxOther > maxMinor) {
keyIndex = (int) (keyIndexOther * 12 / pcpsize + 0.5);
scale = OTHER;
max = maxOther;
max2 = max2Other;
}
if (keyIndex < 0) {
throw EssentiaException("KeyEDM3: keyIndex smaller than zero. Could not find key.");
}
//////////////////////////////////////////////////////////////////////////////
// Here we calculate the outputs...
// first three outputs are key, scale and strength
_key.get() = _keys[keyIndex];
if (scale == MAJOR) {
_scale.get() = "major";
}
else if (scale == MINOR) {
_scale.get() = "minor";
}
else if (scale == OTHER) {
_scale.get() = "minor";
}
_strength.get() = max;
// this one outputs the relative difference between the maximum and the
// second highest maximum (i.e. Compute second highest correlation peak)
_firstToSecondRelativeStrength.get() = (max - max2) / max;
}