float Oscillator::GenerateWaveformSample()
{
float fOutSample = 0.0;
int nReadIndex = (int)m_fReadIndex;
float fFrac = m_fReadIndex - nReadIndex; //fractional part
int nReadIndexNext = nReadIndex + 1 >1023 ? 0 : nReadIndex +1;
switch (m_eOscType) {
case Sinusoid:
fOutSample = (float)linear_interpolation(0, 1, m_fSinArray[nReadIndex],
m_fSinArray[nReadIndexNext], fFrac);
break;
case Sawtooth:
fOutSample = (float)linear_interpolation(0, 1, m_fSawToothArray[nReadIndex],
m_fSawToothArray[nReadIndexNext], fFrac);
break;
case Triangle:
fOutSample = (float)linear_interpolation(0, 1, m_fTriangleArray[nReadIndex],
m_fTriangleArray[nReadIndexNext], fFrac);
break;
case Square:
fOutSample = (float)linear_interpolation(0, 1, m_fSquareArray[nReadIndex],
m_fSquareArray[nReadIndexNext], fFrac);
break;
default:
fOutSample = 0.0;
break;
}
m_fReadIndex += m_fIncreament;
if(m_fReadIndex > WAVETABLE_SAMPLE_RATE)m_fReadIndex = m_fReadIndex - WAVETABLE_SAMPLE_RATE;
return fOutSample;
}
void sf6_find_atmconc( ) {
int i,j;
extern double hlat[NYMEM];
const double equatorbound[2] = {10,-10}; // Set the latitudes where to start interpolating atmospheric concentrations
double hemisphere_concentrations[2];
double currtime;
extern struct timekeeper_t timekeeper;
currtime = timekeeper.current_time;
// Interpolate in time to find the atmospheric concentration
hemisphere_concentrations[0] = linear_interpolation(
atmconc[SF6IDX].time, atmconc[SF6IDX].nval, currtime,NUMATMVALS);
hemisphere_concentrations[1] = linear_interpolation(
atmconc[SF6IDX].time, atmconc[SF6IDX].sval, currtime,NUMATMVALS);
for (i=0;i<NXMEM;i++)
for (j=0;j<NYMEM;j++) {
if (hlat[j] < equatorbound[0] && hlat[j] > equatorbound[1]) {
sf6_atmconc[i][j] = linear_interpolation(
equatorbound,hemisphere_concentrations,hlat[j],2);
}
if (hlat[j]>equatorbound[0] ) {
sf6_atmconc[i][j] = hemisphere_concentrations[0];
}
if (hlat[j]<equatorbound[1] ) {
sf6_atmconc[i][j] = hemisphere_concentrations[1];
}
}
}
double bilinear_interpolation
(std::array<double,2> const& grid_pos,std::array<double,4> const& grid,
std::array<double,4> const& intensity) noexcept
{
double i0,i1;
i0 =
linear_interpolation(grid_pos[0],grid[0],intensity[0],grid[2],intensity[1]);
i1 =
linear_interpolation(grid_pos[0],grid[0],intensity[2],grid[2],intensity[3]);
return linear_interpolation(grid_pos[1],grid[1],i0,grid[3],i1);
}
// the main method
virtual void run() {
// get the new value
current = buffer->pop();
//
switch(type) {
case LINEAR_INTERPOLATION:
linear_interpolation();
break;
case QUADRATIC_INTERPOLATION:
break;
default:
break;
}
// send the interpolated signal
DeviceOutput<std::vector<cv::Point2f>>::send(interpolated);
// update de old value
old = current;
}
static unsigned int color_algorithm(t_env *env, t_complexe *z, int i)
{
if (env->color == 0)
return (hsv_to_rgb(i / (double)env->iter_max * 360, 0.6, 1));
else if (env->color == 1)
return (linear_interpolation(env, i));
else
return (hsv_to_rgb(i / (double)env->iter_max * 360,
fmod(z->img, 1), 1));
}
void setTime (double t)
{
clear_render_data();
double cur_mass_pp = linear_interpolation(_origin_mass_pp,
_dest_mass_pp, t);
for (size_t i = 0; i < _N; ++i)
{
_cur_centroids[i] =
linear_interpolation_point<K> (_origin_centroids[i],
_dest_centroids[i], t);
double radius = linear_interpolation(_origin_radii[i],
_dest_radii[i], t);
_cur_radii[i] = radius;
double gray = _masses[i] / (M_PI * radius * radius * cur_mass_pp);
_cur_colors[i] = double_to_QColor(255.0 * gray);
}
update();
}
int main(int argc, char *argv[]) {
int nd = atoi(argv[1]);
int nx = atoi(argv[2]);
double *xd, *yd, *x, *y;
xd = (double *)malloc(sizeof(double)*nd);
yd = (double *)malloc(sizeof(double)*nd);
x = (double *)malloc(sizeof(double)*nx);
y = (double *)malloc(sizeof(double)*nx);
FILE *f;
int i;
f = fopen("data.dat","r");
for(i=0;i<nd;i++) {
fscanf(f,"%lg\t%lg\n",&xd[i],&yd[i]);
}
fclose(f);
f = fopen("xvals.dat","r");
for(i=0;i<nx;i++) {
fscanf(f,"%lg\n",&x[i]);
}
fclose(f);
printf("Testing linear interpolation...\n");
linear_interpolation(x,y,xd,yd,nx,nd);
f = fopen("yvals_lint.dat","w");
for(i=0;i<nx;i++) {
fprintf(f,"%.16lg\n",y[i]);
}
fclose(f);
for(i=0;i<nx;i++) y[i] = 0;
printf("Testing cubic spline interpolation...\n");
cubic_spline_interpolation(x,y,xd,yd,nx,nd);
printf("Outputting cubic spline interpolation...\n");
f = fopen("yvals_splint.dat","w");
for(i=0;i<nx;i++) {
fprintf(f,"%.16lg\n",y[i]);
}
fclose(f);
return 0;
}
void draw_line(Point2D start, Point2D end) {
int dx = abs(end.x - start.x);
int dy = abs(end.y - start.y);
int sx = (start.x < end.x) ? 1 : -1;
int sy = (start.y < end.y) ? 1 : -1;
int err = dx - dy;
Color c;
float totalPixels = 1 + (dx <= dy) ? dy : dx;
int pixels = 0;
for (;;) {
c.r = linear_interpolation(pixels / totalPixels, (float) start.c.r, (float) end.c.r);
c.g = linear_interpolation(pixels / totalPixels, (float) start.c.g, (float) end.c.g);
c.b = linear_interpolation(pixels / totalPixels, (float) start.c.b, (float) end.c.b);
cg_putpixel(start.x, start.y, c);
pixels++;
if (start.x == end.x && start.y == end.y)
break;
int e2 = 2 * err;
if (e2 > -dy) {
err = err - dy;
start.x += sx;
}
if (start.x == end.x && start.y == end.y) {
cg_putpixel(start.x, start.y, end.c);
break;
}
if (e2 < dx) {
err = err + dx;
start.y = start.y + sy;
}
}
}
static int convert_sensor_output(const char* name, const int input,
int *output, int conv)
{
int sens_ind=-1, inf_ind=-1;
int ret;
if (!sensors.attrs) {
ret = parse_sensor_config(SENSORS_XML_CONFIG);
if (ret) {
ALOGE("Thermalutils: Failed to parse sensor config:%d", ret);
return ret;
}
#ifdef SENSORS_DEBUG
dumpsensors();
#endif
}
/* check for valid sensor and its index */
for (sens_ind=0; sens_ind<sensors.sensor_count; sens_ind++) {
if (!strncmp(name, (sensors.attrs+sens_ind)->name,
MAX_SENSOR_NAME_LEN))
break;
}
if (sens_ind >= sensors.sensor_count) {
ALOGE("Thermalutils: Requested sensor not found");
return ERROR_SENSOR_NOT_FOUND;
}
/* find inflexion point */
ret = find_inflex_index(sens_ind, input, &inf_ind, conv);
if (ret == ERROR_INVALID_INPUT) {
ALOGE("Thermalutils: Index not found, invalid input");
return ret;
}
if (ret == NO_LINEAR_INTERPOLATION) {
ALOGD("Thermalutils: No interpolation required");
*output = find_from_lookup_table(sens_ind, inf_ind, conv);
return 0;
}
/* Perform interpolation */
*output = linear_interpolation(sens_ind, inf_ind, input, conv);
return 0;
}
double Potential_interpolation_2d::operator()(double rho, double z) const
{
Point p(rho, z);
vector<pair<Point, double> > ncoords;
double norm = natural_neighbor_coordinates_2(
_dt, p, back_inserter(ncoords)).second;
pair<double, bool> res = quadratic_interpolation(
ncoords.begin(), ncoords.end(), norm, p,
Data_access_value(_value_map),
Data_access_grad(_grad_map),
GradTraits());
if (res.second)
{
return res.first;
}
else
{
return linear_interpolation(
ncoords.begin(), ncoords.end(), norm,
Data_access_value(_value_map));
}
}
int tester()
{
//description
std::vector<std::string> neutrals;
std::vector<std::string> ions;
neutrals.push_back("N2");
neutrals.push_back("CH4");
neutrals.push_back("C2H");
//ionic system contains neutral system
ions = neutrals;
ions.push_back("N2+");
Scalar MN(14.008L), MC(12.011), MH(1.008L);
Scalar MN2 = 2.L*MN , MCH4 = MC + 4.L*MH, MC2H = 2.L * MC + MH;
std::vector<Scalar> Mm;
Mm.push_back(MN2);
Mm.push_back(MCH4);
Mm.push_back(MC2H);
//densities
std::vector<Scalar> molar_frac;
molar_frac.push_back(0.95999L);
molar_frac.push_back(0.04000L);
molar_frac.push_back(0.00001L);
molar_frac.push_back(0.L);
Scalar dens_tot(1e12L);
//hard sphere radius
std::vector<Scalar> hard_sphere_radius;
hard_sphere_radius.push_back(2.0675e-8L * 1e-2L); //N2 in cm -> m
hard_sphere_radius.push_back(2.3482e-8L * 1e-2L); //CH4 in cm -> m
hard_sphere_radius.push_back(0.L); //C2H
//zenith angle
//not necessary
//photon flux
//not necessary
////cross-section
//not necessary
//altitudes
Scalar zmin(600.),zmax(1400.),zstep(10.);
//binary diffusion
Scalar bCN1(1.04e-5 * 1e-4),bCN2(1.76); //cm2 -> m2
Planet::DiffusionType CN_model(Planet::DiffusionType::Wakeham);
Scalar bCC1(5.73e16 * 1e-4),bCC2(0.5); //cm2 -> m2
Planet::DiffusionType CC_model(Planet::DiffusionType::Wilson);
Scalar bNN1(0.1783 * 1e-4),bNN2(1.81); //cm2 -> m2
Planet::DiffusionType NN_model(Planet::DiffusionType::Massman);
/************************
* first level
************************/
//altitude
Planet::Altitude<Scalar,std::vector<Scalar> > altitude(zmin,zmax,zstep);
//neutrals
Antioch::ChemicalMixture<Scalar> neutral_species(neutrals);
//ions
Antioch::ChemicalMixture<Scalar> ionic_species(ions);
//chapman
//not needed
//binary diffusion
Planet::BinaryDiffusion<Scalar> N2N2( Antioch::Species::N2, Antioch::Species::N2 , bNN1, bNN2, NN_model);
Planet::BinaryDiffusion<Scalar> N2CH4( Antioch::Species::N2, Antioch::Species::CH4, bCN1, bCN2, CN_model);
Planet::BinaryDiffusion<Scalar> CH4CH4( Antioch::Species::CH4, Antioch::Species::CH4, bCC1, bCC2, CC_model);
Planet::BinaryDiffusion<Scalar> N2C2H( Antioch::Species::N2, Antioch::Species::C2H);
Planet::BinaryDiffusion<Scalar> CH4C2H( Antioch::Species::CH4, Antioch::Species::C2H);
std::vector<std::vector<Planet::BinaryDiffusion<Scalar> > > bin_diff_coeff;
bin_diff_coeff.resize(2);
bin_diff_coeff[0].push_back(N2N2);
bin_diff_coeff[0].push_back(N2CH4);
bin_diff_coeff[0].push_back(N2C2H);
bin_diff_coeff[1].push_back(N2CH4);
bin_diff_coeff[1].push_back(CH4CH4);
bin_diff_coeff[1].push_back(CH4C2H);
/************************
* second level
************************/
//temperature
std::vector<Scalar> T0,Tz;
read_temperature<Scalar>(T0,Tz,"input/temperature.dat");
std::vector<Scalar> neutral_temperature;
linear_interpolation(T0,Tz,altitude.altitudes(),neutral_temperature);
Planet::AtmosphericTemperature<Scalar, std::vector<Scalar> > temperature(neutral_temperature, neutral_temperature, altitude);
//photon opacity
//not needed
//reaction sets
//not needed
/************************
* third level
************************/
//atmospheric mixture
Planet::AtmosphericMixture<Scalar,std::vector<Scalar>, std::vector<std::vector<Scalar> > > composition(neutral_species, ionic_species, altitude, temperature);
composition.init_composition(molar_frac,dens_tot);
composition.set_hard_sphere_radius(hard_sphere_radius);
composition.initialize();
//kinetics evaluators
//not needed
/************************
* fourth level
************************/
//photon evaluator
//not needed
//molecular diffusion
Planet::MolecularDiffusionEvaluator<Scalar,std::vector<Scalar>, std::vector<std::vector<Scalar> > > molecular_diffusion(bin_diff_coeff,
composition,
altitude,
temperature);
molecular_diffusion.make_molecular_diffusion();
//eddy diffusion
//not needed
/************************
* checks
************************/
molar_frac.pop_back();//get the ion outta here
Scalar Matm(0.L);
for(unsigned int s = 0; s < molar_frac.size(); s++)
{
Matm += molar_frac[s] * composition.neutral_composition().M(s);
}
Matm *= 1e-3L; //to kg
std::vector<std::vector<Scalar> > densities;
calculate_densities(densities, dens_tot, molar_frac, zmin,zmax,zstep, temperature.neutral_temperature(), Mm);
//N2, CH4, C2H
std::vector<std::vector<Scalar> > Dij;
Dij.resize(2);
Dij[0].resize(3,0.L);
Dij[1].resize(3,0.L);
int return_flag(0);
for(unsigned int iz = 0; iz < altitude.altitudes().size(); iz++)
{
Scalar P = pressure(composition.total_density()[iz],temperature.neutral_temperature()[iz]);
Scalar T = temperature.neutral_temperature()[iz];
Dij[0][0] = binary_coefficient(T,P,bNN1,bNN2); //N2 N2
Dij[1][1] = binary_coefficient(T,P,bCC1 * Antioch::ant_pow(Planet::Constants::Convention::T_standard<Scalar>(),bCC2 + Scalar(1.L))
* Planet::Constants::Universal::kb<Scalar>()
/ Planet::Constants::Convention::P_normal<Scalar>(),bCC2 + Scalar(1.L)); //CH4 CH4
Dij[0][1] = binary_coefficient(T,P,bCN1 * Antioch::ant_pow(Planet::Constants::Convention::T_standard<Scalar>(),bCN2),bCN2); //N2 CH4
Dij[0][2] = binary_coefficient(Dij[0][0],Mm[0],Mm[2]); //N2 C2H
Dij[1][2] = binary_coefficient(Dij[1][1],Mm[1],Mm[2]); //CH4 C2H
Dij[1][0] = Dij[0][1]; //CH4 N2
for(unsigned int s = 0; s < molar_frac.size(); s++)
{
Scalar tmp(0.L);
Scalar M_diff(0.L);
for(unsigned int medium = 0; medium < 2; medium++)
{
if(s == medium)continue;
tmp += densities[medium][iz]/Dij[medium][s];
}
Scalar Ds = (barometry(zmin,altitude.altitudes()[iz],neutral_temperature[iz],Matm,dens_tot) - densities[s][iz]) / tmp;
for(unsigned int j = 0; j < molar_frac.size(); j++)
{
if(s == j)continue;
M_diff += composition.total_density()[iz] * composition.neutral_molar_fraction()[j][iz] * composition.neutral_composition().M(j);
}
M_diff /= Scalar(molar_frac.size() - 1);
Scalar Dtilde = Ds / (Scalar(1.L) - composition.neutral_molar_fraction()[s][iz] * (Scalar(1.L) - composition.neutral_composition().M(s)/M_diff));
return_flag = return_flag ||
check_test(Dtilde,molecular_diffusion.Dtilde()[s][iz],"D tilde of species at altitude");
}
return_flag = return_flag ||
check_test(Dij[0][0],molecular_diffusion.binary_coefficient(0,0,T,P),"binary molecular coefficient N2 N2 at altitude") ||
check_test(Dij[0][1],molecular_diffusion.binary_coefficient(0,1,T,P),"binary molecular coefficient N2 CH4 at altitude") ||
check_test(Dij[0][2],molecular_diffusion.binary_coefficient(0,2,T,P),"binary molecular coefficient N2 C2H at altitude") ||
check_test(Dij[1][1],molecular_diffusion.binary_coefficient(1,1,T,P),"binary molecular coefficient CH4 CH4 at altitude") ||
check_test(Dij[1][2],molecular_diffusion.binary_coefficient(1,2,T,P),"binary molecular coefficient CH4 C2H at altitude");
}
return return_flag;
}
Color4 color_interpolation(Color4 const& color0, Color4 const& color1, float t) {
Vector3 v0(color0[0]/255.0f, color0[1]/255.0f, color0[2]/255.0f);
Vector3 v1(color1[0]/255.0f, color1[1]/255.0f, color1[2]/255.0f);
Vector3 r = linear_interpolation(v0, v1, t);
return Color4(r[0]*255.0f, r[1]*255.0f, r[2]*255.0f, 255);
}
