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climate.cpp
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climate.cpp
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#include "climate.h"
//#include <iomanip>
//#include <fstream>
#include "SKYSun.h"
#include "util.h"
#include <algorithm>
#include <iterator>
static const float NA=-999.0;
// *** Climate class, CitySim *** //
// *** jerome.kaempf@epfl.ch *** //
Climate::Climate(ostream* pLogFileStream):logStream(std::cout.rdbuf()) {
//logStream << "Climate constructor" << endl;
// logStream is directed by default to the "cout" streambuf
if(pLogFileStream) // If a logfile stream is provided, redirect logStream to the file stream.
logStream.rdbuf(pLogFileStream->rdbuf());
if (!logStream.good())
throw(string("Unable to define correctly the logStream."));
}
Climate::Climate(string filename, ostream* pLogFileStream):logStream(std::cout.rdbuf()),filename(filename) {
//logStream << "Climate constructor" << endl;
// logStream is directed by default to the "cout" streambuf
if(pLogFileStream!=NULL) // If a logfile stream is provided, redirect logStream to the file stream.
logStream.rdbuf(pLogFileStream->rdbuf());
if (!logStream.good())
throw(string("Unable to define correctly the logStream."));
// If no filename to load -> go back directly
if (filename.empty()) {
logStream << "WARNING: Climate file name empty." << endl << flush;
return;
}
// variable used to store the elements
string buffer;
// variables used in case only the global irradiance in the horizontal plane is given
bool G_h_present = false;
bool G_Dh_present = false;
bool Tg_present = false;
// Climate filename opening
//throw(string("Test error"));
logStream << "Climate file opening" << endl;
fstream input(filename.c_str(), ios::in | ios::binary);
if (!(input.good())){
logStream << "Bad climate file input" << endl;
throw(string("Error opening climate file: " + filename));
}
//cout << "Climate: input is good" << endl;
//logStream << "Loading: " << filename << endl << flush;
try{
// start the reading
getline(input,buffer,'\n');
location = buffer;
//cerr<<"Climate: "<<cbuffer<<endl << flush;
getline(input,buffer,',');
latitudeN = stof(buffer);
//cerr<<"Latitude: "<<latitude<<"\t";
if(latitudeN > 90.f || latitudeN < -90.f) throw(string("Climate file : wrong format latitude (degrees North)"));
getline(input,buffer,',');
longitudeE = stof(buffer);
//logStream<<"Longitude: "<<longitudeE<<"\t";
if(longitudeE > 180.f || longitudeE < -180.f) throw(string("Climate file : wrong format longitude (degrees East)"));
getline(input,buffer,',');
altitude = stof(buffer);
//cerr<<"Altitude: "<<altitude<<endl << flush;
if(altitude < -420.f) throw(string("Climate file : wrong format altitude (m above sea level)")); // -420 m shores of the Dead Sea
getline(input,buffer,'\n');
meridianE = stoi(buffer);
//logStream<<"Meridian: "<<meridianE<<endl << flush;
if(meridianE > 12 || meridianE < -12) throw(string("Climate file : wrong format meridian (degrees East)"));
// reads the header of the file
input >> buffer;
if(buffer != "dm") throw(string("Climate file : wrong format dm")); //day
input >> buffer;
if(buffer != "m") throw(string("Climate file : wrong format m")); //month
input >> buffer;
if(buffer != "h") throw(string("Climate file : wrong format h")); //jour
// find irradiance data type
input >> buffer;
if(buffer == "G_h") {
G_h_present = true;
G_Dh_present = false;
logStream << "G_h only, using Maxwell model to convert to G_Bn and G_Dh." << endl << flush;
}
else if (buffer == "G_Dh") {
G_Dh_present = true;
input >> buffer;
if (buffer == "G_h") { G_h_present = true; logStream << "G_Dh and G_h, using sun position to convert to G_Dh and G_Bn." << endl << flush; }
else if (buffer == "G_Bn") { G_h_present = false; logStream << "G_Dh and G_Bn provided." << endl << flush; }
else throw(string("Climate file : wrong format, missing G_h or G_Bn after G_Dh"));
}
else throw(string("Climate file : wrong format, missing G_h or G_Dh"));
input >> buffer;
if(buffer != "Ta") throw(string("Climate file : wrong format, missing Ta")); // Tout
input >> buffer;
if (buffer == "Tg" || buffer == "Ts") {
Tg_present = true;
input >> buffer;
if(buffer != "FF") throw(string("Climate file : wrong format FF")); // windSpeed
}
else if(buffer != "FF") throw(string("Climate file : wrong format FF")); // windSpeed
input >> buffer;
if(buffer != "DD") throw(string("Climate file : wrong format DD")); // windDirection
input >> buffer;
if(buffer != "RH") throw(string("Climate file : wrong format RH")); // relativeHumidity
input >> buffer;
if(buffer != "RR") throw(string("Climate file : wrong format RR")); // Prec
input >> buffer;
if(buffer != "N") throw(string("Climate file : wrong format N")); // Cloudiness
// remove unnecessary spaces
do {
getline(input,buffer,'\n');
} while (buffer.find_first_of("\t") != string::npos);
// start reading the data
size_t pos1,pos2;
getline(input,buffer,'\n');
do {
pos1 = 0;
pos2 = buffer.find_first_of("\t",pos1);
// discard reading the day
pos1 = pos2+1;
pos2 = buffer.find_first_of("\t",pos1);
// discard reading the month
pos1 = pos2+1;
pos2 = buffer.find_first_of("\t",pos1);
// discard reading the hour
pos1 = pos2+1;
pos2 = buffer.find_first_of("\t",pos1);
// read the first column related to radiation
if (G_Dh_present) {
Idh.push_back(stof(buffer.substr(pos1,pos2)));
if (G_h_present) {
pos1 = pos2+1;
pos2 = buffer.find_first_of("\t",pos1);
Igh.push_back(stof(buffer.substr(pos1,pos2)));
}
else {
pos1 = pos2+1;
pos2 = buffer.find_first_of("\t",pos1);
Ibn.push_back(stof(buffer.substr(pos1,pos2)));
}
}
else {
Igh.push_back(stof(buffer.substr(pos1,pos2)));
}
pos1 = pos2+1;
pos2 = buffer.find_first_of("\t",pos1);
Tout.push_back(stof(buffer.substr(pos1,pos2)));
if (Tg_present) {
pos1 = pos2+1;
pos2 = buffer.find_first_of("\t",pos1);
Tground.push_back(stof(buffer.substr(pos1,pos2)));
}
pos1 = pos2+1;
pos2 = buffer.find_first_of("\t",pos1);
windSpeed.push_back(stof(buffer.substr(pos1,pos2)));
pos1 = pos2+1;
pos2 = buffer.find_first_of("\t",pos1);
windDirection.push_back(stof(buffer.substr(pos1,pos2)));
pos1 = pos2+1;
pos2 = buffer.find_first_of("\t",pos1);
relativeHumidity.push_back(stof(buffer.substr(pos1,pos2)));
pos1 = pos2+1;
pos2 = buffer.find_first_of("\t",pos1);
Prec.push_back(stof(buffer.substr(pos1,pos2)));
pos1 = pos2+1;
pos2 = buffer.find_first_of("\t",pos1);
cloudiness.push_back(stof(buffer.substr(pos1,pos2)));
getline(input,buffer,'\n');
}
while (buffer.find_first_of("\t") != string::npos);
}
catch (exception& e) { throw("Error reading the line: \n" + buffer); }
catch (...) { throw; }
//logStream << "last line: " << endl;
//logStream << "Igh: " << Igh.back() << "\tTout: " << Tout.back() << "\twindSpeed: " << windSpeed.back() << "\twindDirection: " << windDirection.back()
// << "\tRH: " << relativeHumidity.back() << "\tprec: " << Prec.back() << "\tcloudiness: " << cloudiness.back() << endl;
computeComplementaryValues();
}
void Climate::computeComplementaryValues() {
// calculation of several variables that we use in the radiation model
meanAnnualTemperature = accumulate(Tout.begin(),Tout.end(),0.f)/float(Tout.size());
//calculate the temperature for a day and set the coolest day in the year and a vector of daily mean temperature
meanDailyTemperature.assign(365,0.f);
for(unsigned int i=0;i<365;++i) {
meanDailyTemperature[i] = accumulate(Tout.begin()+24*i,Tout.begin()+24*(i+1),0.f)/24.f;
// note: accumulate does not take into account the last element pointed by end: [first,last)
//logStream << *(Tout.begin()+24*i) << "\t" << *(Tout.begin()+24*(i+1)) << endl << flush;
}
hotDay = distance(meanDailyTemperature.begin(), max_element(meanDailyTemperature.begin(), meanDailyTemperature.end()));
coolDay = distance(meanDailyTemperature.begin(), min_element(meanDailyTemperature.begin(), meanDailyTemperature.end()));
// determine dew point temperature Td
for (size_t i=0;i<Tout.size();++i) {
// double a = 17.27;
// double b = 237.7;
// double gamma = a * Tout[i] /(b+Tout[i])+ log(Hr[i]/100.0);
// Td[i] = b*gamma /(a-gamma);
// if(Td[i] < 0 || Tout[i] < 0)
// Td[i] = Tout[i];
// Clausius-Clapeyron equation with L/Rw = (1/1.85e-4)
Td.push_back(1.f / ( 1.f/(Tout[i] + 273.15f) - 1.85e-4f * log(relativeHumidity[i]/100.f) ) - 273.15f);
}
// case in which we have G_h and D_h, we need to compute Ibn
if (!Idh.empty() && !Igh.empty()) {
#ifdef DEBUG
ofstream file((filename.substr(0,filename.size()-4)+"_SW.out").c_str());
file << "#solarAltitude\tIbn\tIdh\tIgh" << endl << flush;
logStream << "G_Dh and G_h present, calculating G_Bn from the solar position." << endl << flush;
#endif
// creates a sun for the current location
SKYSiteLocation location(GENAngle::Degrees(latitudeN), GENAngle::Degrees(longitudeE), GENAngle::Degrees(meridianE*360.f/24.f), GENAngle::Degrees(0.f));
SKYSun sunClimate(location);
int dayOfYear;
// loop on all values of G_h
for (size_t j=0; j<Igh.size(); ++j) {
// sets the calendar conditions
dayOfYear = (j+1)/24+1;
sunClimate.SetDay(dayOfYear);
sunClimate.SetClockTime(j%24);
//cout << "ClockTime: " << j%24+0.5f << endl << flush;
// sets the sun altitude
float solarAltitude = sunClimate.GetPosition().Altitude().radians(); // we get the altitude of the sun
if (solarAltitude/M_PI*180.f < 6) solarAltitude = 0.f; // we neglect the altitudes below 6°
if (solarAltitude > 0.f)
Ibn.push_back((Igh[j]-Idh[j])/sin(solarAltitude));
else {
Ibn.push_back(0.f);
Idh[j]=Igh[j];
}
#ifdef DEBUG
file << solarAltitude*180.f/M_PI << "\t" << Ibn[j] << "\t" << Idh[j] << "\t" << Igh[j] << endl;
#endif
}
#ifdef DEBUG
// close the file
file.close();
#endif
// clear the useless Igh vector
Igh.clear();
}
// If only global irradiance available, use model in dirint.c to compute Idh and Ibn
else if (Idh.empty() && !Igh.empty()) {
#ifdef DEBUG
ofstream file((filename.substr(0,filename.size()-4)+"_SW.out").c_str());
file << "#sunAzimuth\tsunAltitude\tIbn\tIdh\tIgh" << endl;
logStream << "G_h only present, calculating G_Dh and G_Bn." << endl << flush;
#endif
// creates a sun for the current location
SKYSiteLocation location(GENAngle::Degrees(latitudeN), GENAngle::Degrees(longitudeE), GENAngle::Degrees(meridianE*360.f/24.f), GENAngle::Degrees(0.f));
SKYSun sunClimate(location);
int dayOfYear = 1;
float Ib = 0.f;
vector<float> z = {NA, NA, NA}; // previous, current and next data
vector<float> Ig = {NA, NA, NA}; // previous, current and next data
for (size_t j=0; j<Igh.size()-1; ++j) {
Ig[1] = Igh[j];
//cerr << "Igh[" << j << "]: " << Igh[j] << endl;
Ig[2] = Igh[j+1];
dayOfYear = j/24+1;
sunClimate.SetDay(dayOfYear);
sunClimate.SetClockTime(j%24);
#ifdef DEBUG
file << fmod(sunClimate.GetPosition().Azimuth().degrees()+360.f,360.f) << "\t" << sunClimate.GetPosition().Altitude().degrees() << "\t";
#endif
z[1] = M_PI/2. - sunClimate.GetPosition().Altitude().radians(); // angle entre le zénith et le soleil (RADIANS), valeur courante
sunClimate.SetDay((j+1)/24+1);
sunClimate.SetClockTime((j+1)%24);
z[2] = M_PI/2. - sunClimate.GetPosition().Altitude().radians(); // angle entre le zénith et le soleil (RADIANS), valeur suivante
/*
** float dirint(float *g, float *z, float *td, int *doy, float *alt)
** 'g' is the address of someplace that has 3 floats representing
** global irradiance in watts. The 3 refer to the previous, current
** and next observed data
** 'z' is the address of someplace with 3 floats representing
** the zenith angle in RADIANS of the three observations.
** 'td' points to the dewpoint temperature in degrees C.
** 'doy' points to the day of year (from 1).
** 'alt' points to the altitude of the site, in meters.
**
** The returned value is the modelled direct normal irradiance in watts.
*/
// old Maxwell method
//Ib = dirint(&Ig[0], &z[0], &Td[j], &dayOfYear, &altitude);
// beam normal extraterrestrial irradiance is taken here as a fixed value: 1367 W/m^2
float i0 = (cos(static_cast<double>(dayOfYear)*(2.*M_PI/365.))*0.033 + 1.)*1367.;
Ib = dirint_(&Ig[0], &z[0], &Td[j], &altitude, &i0);
Ibn.push_back(Ib);
Idh.push_back((Ig[1] - Ib*cos(z[1])));
#ifdef DEBUG
file << Ibn.back() << "\t" << Idh.back() << "\t" << Igh[j] << endl << flush;
#endif
/*logStream << "G_h : " << setprecision(3) << setw(5) << Ig[1]
<< ", G_bn : " << setprecision(3) << setw(5) << Ib
<< ", G_dh : " << setprecision(3) << setw(5) << Ig[1] - Ib*cos(z[1])
<< ", dy : " << setprecision(3) << setw(3) << dayOfYear
<< ", h : " << setprecision(3) << setw(3) << (j+1)%24
<< ", dT : " << setprecision(3) << setw(6) << Td[j]
<< ", z : " << setprecision(3) << setw(5) << z[0] << " " << setprecision(3) << setw(5) << z[1] << " " << setprecision(3) << setw(5) << z[2]
<< ", Ig : " << setprecision(3) << setw(5) << Ig[0] << " " << setprecision(3) << setw(5) << Ig[1] << " " << setprecision(3) << setw(5) << Ig[2] << endl << flush;
*/
// pass to the next time step (move forward the data)
Ig[0] = Ig[1];
z[0] = z[1];
}
//cerr << "Igh[back]" << Ig[2] << endl;
Ig[1] = Ig[2];
Ig[2] = NA;
z[1] = z[2];
z[2] = NA;
// old Maxwell method
//Ib = dirint(&Ig[0], &z[0], &Td[Igh.size()-1], &dayOfYear, &altitude);
// beam normal extraterrestrial irradiance is taken here as a fixed value: 1367 W/m^2
dayOfYear = (Igh.size()-1)/24+1;
float i0 = (cos(static_cast<double>(dayOfYear)*(2.*M_PI/365.))*0.033 + 1.)*1367.;
Ib = dirint_(&Ig[0], &z[0], &Td[Igh.size()-1], &altitude, &i0);
//cerr << "Ig[0]: " << Ig[0] << "\tIg[1]: " << Ig[1] << "\tIg[2]: " << Ig[2] << "\tTd: " << Td[Igh.size()-1] << endl;
//cerr << "Ib: " << Ib << endl;
Ibn.push_back(Ib);
Idh.push_back(Ig[1] - Ib*cos(z[1]));
#ifdef DEBUG
file << fmod(sunClimate.GetPosition().Azimuth().degrees()+360.f,360.f) << "\t" << sunClimate.GetPosition().Altitude().degrees() << "\t";
file << Ibn.back() << "\t" << Idh.back() << "\t" << Igh.back() << endl;
// close the file
file.close();
#endif
// clear the useless Igh vector
Igh.clear();
}
else {
#ifdef DEBUG
ofstream file((filename.substr(0,filename.size()-4)+"_SW.out").c_str());
file << "#dayOfYear\thour\tsunAzimuth\tsunAltitude\tIbn\tIdh\tIgh" << endl;
logStream << "G_Dh and G_Bn present, calculating G_h using the solar position." << endl << flush;
#endif
// creates a sun for the current location
SKYSiteLocation location(GENAngle::Degrees(latitudeN), GENAngle::Degrees(longitudeE), GENAngle::Degrees(meridianE*360.f/24.f), GENAngle::Degrees(0.f));
SKYSun sunClimate(location);
int dayOfYear, clockTime;
// loop on all values of G_h
for (size_t j=0; j<Idh.size(); ++j) {
// sets the calendar conditions
dayOfYear = j/24+1;
sunClimate.SetDay(dayOfYear);
clockTime = j%24+1;
sunClimate.SetClockTime1(clockTime);
// sets the sun altitude
Igh.push_back(Idh[j]+Ibn[j]*sin(max(sunClimate.GetPosition().Altitude().radians(),0.f)));
#ifdef DEBUG
file << dayOfYear << "\t" << clockTime << "\t";
file << fmod(sunClimate.GetPosition().Azimuth().degrees()+360.f,360.f) << "\t" << sunClimate.GetPosition().Altitude().degrees() << "\t";
file << Ibn[j] << "\t" << Idh[j] << "\t" << Igh[j] << endl;
#endif
}
#ifdef DEBUG
// close the file
file.close();
#endif
// clear the useless Igh vector
Igh.clear();
}
/*}
catch(string msg) { logStream << "\n(Caught) " << msg << endl; return; }
catch(exception &e) { logStream << "\n(Caught Standard Exception) " << e.what() << endl; return; }
catch(...) { logStream << "\nUnhandled Exception" << endl; return; }
*/
}
float Climate::dirint(float *g, float *z, float *td, int *doy, float *alt)
{
// ************************************************************************
// ******** Maxwell model to compute direct normal beam irradiance ********
//
// Code retrieved from the file dirint.c furnished by David Lindelöf
// ************************************************************************
/*
** Maxwell's Beam model.
** Modified to interpolate between bins when kt is high.
**
** This function was translated from FORTRAN. The maxwell model
** was converted using 'f2c', and the resulting code was hand-
** massaged to introduce c-isms.
** The interpolation code was simply transliterated line-by-line.
**
** float dirint(float *g, float *z, float *td, int *doy, float *alt)
** 'g' is the address of someplace that has 3 floats representing
** global irradiance in watts. The 3 refer to the previous, current
** and next observed data
** 'z' is the address of someplace with 3 floats representing
** the zenith angle in RADIANS of the three observations.
** 'td' points to the dewpoint temperature in degrees C.
** 'doy' points to the day of year (from 1).
** 'alt' points to the altitude of the site, in meters.
**
** The returned value is the modelled direct normal irradiance in watts.
**
**
** Three observations are used to take into consideration the time-
** varying nature of the sky. The parameterization was created
** with the assumption that the time series is nominally 1 hour.
** However, this function may be used satifactorily with time steps
** as little as 1 minute or as large as 90 minutes.
** If any of the the required values are unavailable, simply send the
** magic cookie "-999.0", and the function will fall back to less
** sophisticated modeling (*doy, *z, and g[1] excepted, of course).
**
** Oh, you'll need an ANSI compiler for this unless you want to
** get rid of the 'const' and prototypes and stuff.
**
** 2-12-92 rob@dinner.asrc.albany.edu
** Initial translation and shakedown. v1.0
*/
//static const char *version = "1.0";
static const float cm[6][6][7][5] =
{{{{0.38523, 0.38523, 0.38523, 0.46288, 0.31744},
{0.33839, 0.33839, 0.22127, 0.31673, 0.50365},
{0.23568, 0.23568, 0.24128, 0.15783, 0.26944},
{0.83013, 0.83013, 0.17197, 0.84107, 0.45737},
{0.54801, 0.54801, 0.47800, 0.96688, 1.03637},
{0.54801, 0.54801, 1.00000, 3.01237, 1.97654},
{0.58269, 0.58269, 0.22972, 0.89271, 0.56995}},
{{0.13128, 0.13128, 0.38546, 0.51107, 0.12794},
{0.22371, 0.22371, 0.19356, 0.30456, 0.19394},
{0.22997, 0.22997, 0.27502, 0.31273, 0.24461},
{0.09010, 0.18458, 0.26050, 0.68748, 0.57944},
{0.13153, 0.13153, 0.37019, 1.38035, 1.05227},
{1.11625, 1.11625, 0.92803, 3.52549, 2.31692},
{0.09010, 0.23700, 0.30004, 0.81247, 0.66497}},
{{0.58751, 0.13000, 0.40000, 0.53721, 0.83249},
{0.30621, 0.12983, 0.20446, 0.50000, 0.68164},
{0.22402, 0.26062, 0.33408, 0.50104, 0.35047},
{0.42154, 0.75397, 0.75066, 3.70684, 0.98379},
{0.70668, 0.37353, 1.24567, 0.86486, 1.99263},
{4.86440, 0.11739, 0.26518, 0.35918, 3.31082},
{0.39208, 0.49329, 0.65156, 1.93278, 0.89873}},
{{0.12697, 0.12697, 0.12697, 0.12697, 0.12697},
{0.81082, 0.81082, 0.81082, 0.81082, 0.81082},
{3.24168, 2.50000, 2.29144, 2.29144, 2.29144},
{4.00000, 3.00000, 2.00000, 0.97543, 1.96557},
{12.49417, 12.49417, 8.00000, 5.08352, 8.79239},
{21.74424, 21.74424, 21.74424, 21.74424, 21.74424},
{3.24168, 12.49417, 1.62076, 1.37525, 2.33162}},
{{0.12697, 0.12697, 0.12697, 0.12697, 0.12697},
{0.81082, 0.81082, 0.81082, 0.81082, 0.81082},
{3.24168, 2.50000, 2.29144, 2.29144, 2.29144},
{4.00000, 3.00000, 2.00000, 0.97543, 1.96557},
{12.49417, 12.49417, 8.00000, 5.08352, 8.79239},
{21.74424, 21.74424, 21.74424, 21.74424, 21.74424},
{3.24168, 12.49417, 1.62076, 1.37525, 2.33162}},
{{0.12697, 0.12697, 0.12697, 0.12697, 0.12697},
{0.81082, 0.81082, 0.81082, 0.81082, 0.81082},
{3.24168, 2.50000, 2.29144, 2.29144, 2.29144},
{4.00000, 3.00000, 2.00000, 0.97543, 1.96557},
{12.49417, 12.49417, 8.00000, 5.08352, 8.79239},
{21.74424, 21.74424, 21.74424, 21.74424, 21.74424},
{3.24168, 12.49417, 1.62076, 1.37525, 2.33162}}},
{{{0.33744, 0.33744, 0.96911, 1.09719, 1.11608},
{0.33744, 0.33744, 0.96911, 1.11603, 0.62390},
{0.33744, 0.33744, 1.53059, 1.02442, 0.90848},
{0.58404, 0.58404, 0.84725, 0.91494, 1.28930},
{0.33744, 0.33744, 0.31024, 1.43502, 1.85283},
{0.33744, 0.33744, 1.01501, 1.09719, 2.11723},
{0.33744, 0.33744, 0.96911, 1.14573, 1.47640}},
{{0.30000, 0.30000, 0.70000, 1.10000, 0.79694},
{0.21987, 0.21987, 0.52653, 0.80961, 0.64930},
{0.38665, 0.38665, 0.11932, 0.57612, 0.68546},
{0.74673, 0.39983, 0.47097, 0.98653, 0.78537},
{0.57542, 0.93670, 1.64920, 1.49584, 1.33559},
{1.31967, 4.00257, 1.27639, 2.64455, 2.51867},
{0.66519, 0.67891, 1.01236, 1.19994, 0.98658}},
{{0.37887, 0.97406, 0.50000, 0.49188, 0.66529},
{0.10521, 0.26347, 0.40704, 0.55346, 0.58259},
{0.31290, 0.34524, 1.14418, 0.85479, 0.61228},
{0.11907, 0.36512, 0.56052, 0.79372, 0.80260},
{0.78161, 0.83739, 1.27042, 1.53798, 1.29295},
{1.15229, 1.15229, 1.49208, 1.24537, 2.17710},
{0.42466, 0.52955, 0.96691, 1.03346, 0.95873}},
{{0.31059, 0.71441, 0.25245, 0.50000, 0.60760},
{0.97519, 0.36342, 0.50000, 0.40000, 0.50280},
{0.17558, 0.19625, 0.47636, 1.07247, 0.49051},
{0.71928, 0.69862, 0.65777, 1.19084, 0.68111},
{0.42624, 1.46484, 0.67855, 1.15773, 0.97843},
{2.50112, 1.78913, 1.38709, 2.39418, 2.39418},
{0.49164, 0.67761, 0.68561, 1.08240, 0.73541}},
{{0.59700, 0.50000, 0.30000, 0.31005, 0.41351},
{0.31479, 0.33631, 0.40000, 0.40000, 0.44246},
{0.16651, 0.46044, 0.55257, 1.00000, 0.46161},
{0.40102, 0.55911, 0.40363, 1.01671, 0.67149},
{0.40036, 0.75083, 0.84264, 1.80260, 1.02383},
{3.31530, 1.51038, 2.44365, 1.63882, 2.13399},
{0.53079, 0.74585, 0.69305, 1.45804, 0.80450}},
{{0.59700, 0.50000, 0.30000, 0.31005, 0.80092},
{0.31479, 0.33631, 0.40000, 0.40000, 0.23704},
{0.16651, 0.46044, 0.55257, 1.00000, 0.58199},
{0.40102, 0.55911, 0.40363, 1.01671, 0.89857},
{0.40036, 0.75083, 0.84264, 1.80260, 3.40039},
{3.31530, 1.51038, 2.44365, 1.63882, 2.50878},
{0.20434, 1.15774, 2.00308, 2.62208, 1.40938}}},
{{{1.24221, 1.24221, 1.24221, 1.24221, 1.24221},
{0.05698, 0.05698, 0.65699, 0.65699, 0.92516},
{0.08909, 0.08909, 1.04043, 1.23248, 1.20530},
{1.05385, 1.05385, 1.39969, 1.08464, 1.23334},
{1.15154, 1.15154, 1.11829, 1.53164, 1.41184},
{1.49498, 1.49498, 1.70000, 1.80081, 1.67160},
{1.01845, 1.01845, 1.15360, 1.32189, 1.29467}},
{{0.70000, 0.70000, 1.02346, 0.70000, 0.94583},
{0.88630, 0.88630, 1.33362, 0.80000, 1.06662},
{0.90218, 0.90218, 0.95433, 1.12669, 1.09731},
{1.09530, 1.07506, 1.17649, 1.13947, 1.09611},
{1.20166, 1.20166, 1.43820, 1.25628, 1.19806},
{1.52585, 1.52585, 1.86916, 1.98541, 1.91159},
{1.28822, 1.08281, 1.28637, 1.16617, 1.11933}},
{{0.60000, 1.02991, 0.85989, 0.55000, 0.81360},
{0.60445, 1.02991, 0.85989, 0.65670, 0.92884},
{0.45585, 0.75058, 0.80493, 0.82300, 0.91100},
{0.52658, 0.93231, 0.90862, 0.98352, 0.98809},
{1.03611, 1.10069, 0.84838, 1.03527, 1.04238},
{1.04844, 1.65272, 0.90000, 2.35041, 1.08295},
{0.81741, 0.97616, 0.86130, 0.97478, 1.00458}},
{{0.78211, 0.56428, 0.60000, 0.60000, 0.66574},
{0.89448, 0.68073, 0.54199, 0.80000, 0.66914},
{0.48746, 0.81895, 0.84183, 0.87254, 0.70904},
{0.70931, 0.87278, 0.90848, 0.95329, 0.84435},
{0.86392, 0.94777, 0.87622, 1.07875, 0.93691},
{1.28035, 0.86672, 0.76979, 1.07875, 0.97513},
{0.72542, 0.86997, 0.86881, 0.95119, 0.82922}},
{{0.79175, 0.65404, 0.48317, 0.40900, 0.59718},
{0.56614, 0.94899, 0.97182, 0.65357, 0.71855},
{0.64871, 0.63773, 0.87051, 0.86060, 0.69430},
{0.63763, 0.76761, 0.92567, 0.99031, 0.84767},
{0.73638, 0.94606, 1.11759, 1.02934, 0.94702},
{1.18097, 0.85000, 1.05000, 0.95000, 0.88858},
{0.70056, 0.80144, 0.96197, 0.90614, 0.82388}},
{{0.50000, 0.50000, 0.58677, 0.47055, 0.62979},
{0.50000, 0.50000, 1.05622, 1.26014, 0.65814},
{0.50000, 0.50000, 0.63183, 0.84262, 0.58278},
{0.55471, 0.73473, 0.98582, 0.91564, 0.89826},
{0.71251, 1.20599, 0.90951, 1.07826, 0.88561},
{1.89926, 1.55971, 1.00000, 1.15000, 1.12039},
{0.65388, 0.79312, 0.90332, 0.94407, 0.79613}}},
{{{1.00000, 1.00000, 1.05000, 1.17038, 1.17809},
{0.96058, 0.96058, 1.05953, 1.17903, 1.13169},
{0.87147, 0.87147, 0.99586, 1.14191, 1.11460},
{1.20159, 1.20159, 0.99361, 1.10938, 1.12632},
{1.06501, 1.06501, 0.82866, 0.93997, 1.01793},
{1.06501, 1.06501, 0.62369, 1.11962, 1.13226},
{1.07157, 1.07157, 0.95807, 1.11413, 1.12711}},
{{0.95000, 0.97339, 0.85252, 1.09220, 1.09659},
{0.80412, 0.91387, 0.98099, 1.09458, 1.04242},
{0.73754, 0.93597, 0.99994, 1.05649, 1.05006},
{1.03298, 1.03454, 0.96846, 1.03208, 1.01578},
{0.90000, 0.97721, 0.94596, 1.00884, 0.96996},
{0.60000, 0.75000, 0.75000, 0.84471, 0.89910},
{0.92680, 0.96503, 0.96852, 1.04491, 1.03231}},
{{0.85000, 1.02971, 0.96110, 1.05567, 1.00970},
{0.81853, 0.96001, 0.99645, 1.08197, 1.03647},
{0.76538, 0.95350, 0.94826, 1.05211, 1.00014},
{0.77561, 0.90961, 0.92780, 0.98780, 0.95210},
{1.00099, 0.88188, 0.87595, 0.94910, 0.89369},
{0.90237, 0.87596, 0.80799, 0.94241, 0.91792},
{0.85658, 0.92827, 0.94682, 1.03226, 0.97299}},
{{0.75000, 0.85793, 0.98380, 1.05654, 0.98024},
{0.75000, 0.98701, 1.01373, 1.13378, 1.03825},
{0.80000, 0.94738, 1.01238, 1.09127, 0.99984},
{0.80000, 0.91455, 0.90857, 0.99919, 0.91523},
{0.77854, 0.80059, 0.79907, 0.90218, 0.85156},
{0.68019, 0.31741, 0.50768, 0.38891, 0.64671},
{0.79492, 0.91278, 0.96083, 1.05711, 0.94795}},
{{0.75000, 0.83389, 0.86753, 1.05989, 0.93284},
{0.97970, 0.97147, 0.99551, 1.06849, 1.03015},
{0.85885, 0.98792, 1.04322, 1.10870, 1.04490},
{0.80240, 0.95511, 0.91166, 1.04507, 0.94447},
{0.88489, 0.76621, 0.88539, 0.85907, 0.81819},
{0.61568, 0.70000, 0.85000, 0.62462, 0.66930},
{0.83557, 0.94615, 0.97709, 1.04935, 0.97997}},
{{0.68922, 0.80960, 0.90000, 0.78950, 0.85399},
{0.85466, 0.85284, 0.93820, 0.92311, 0.95501},
{0.93860, 0.93298, 1.01039, 1.04395, 1.04164},
{0.84362, 0.98130, 0.95159, 0.94610, 0.96633},
{0.69474, 0.81469, 0.57265, 0.40000, 0.72683},
{0.21137, 0.67178, 0.41634, 0.29729, 0.49805},
{0.84354, 0.88233, 0.91176, 0.89842, 0.96021}}},
{{{1.05488, 1.07521, 1.06846, 1.15337, 1.06922},
{1.00000, 1.06222, 1.01347, 1.08817, 1.04620},
{0.88509, 0.99353, 0.94259, 1.05499, 1.01274},
{0.92000, 0.95000, 0.97872, 1.02028, 0.98444},
{0.85000, 0.90850, 0.83994, 0.98557, 0.96218},
{0.80000, 0.80000, 0.81008, 0.95000, 0.96155},
{1.03859, 1.06320, 1.03444, 1.11278, 1.03780}},
{{1.01761, 1.02836, 1.05896, 1.13318, 1.04562},
{0.92000, 0.99897, 1.03359, 1.08903, 1.02206},
{0.91237, 0.94993, 0.97977, 1.02042, 0.98177},
{0.84716, 0.93530, 0.93054, 0.95505, 0.94656},
{0.88026, 0.86711, 0.87413, 0.97265, 0.88342},
{0.62715, 0.62715, 0.70000, 0.77407, 0.84513},
{0.97370, 1.00624, 1.02619, 1.07196, 1.01724}},
{{1.02871, 1.01757, 1.02590, 1.08179, 1.02424},
{0.92498, 0.98550, 1.01410, 1.09221, 0.99961},
{0.82857, 0.93492, 0.99495, 1.02459, 0.94971},
{0.90081, 0.90133, 0.92883, 0.97957, 0.91310},
{0.76103, 0.84515, 0.80536, 0.93679, 0.85346},
{0.62640, 0.54675, 0.73050, 0.85000, 0.68905},
{0.95763, 0.98548, 0.99179, 1.05022, 0.98790}},
{{0.99273, 0.99388, 1.01715, 1.05912, 1.01745},
{0.97561, 0.98716, 1.02682, 1.07544, 1.00725},
{0.87109, 0.93319, 0.97469, 0.97984, 0.95273},
{0.82875, 0.86809, 0.83492, 0.90551, 0.87153},
{0.78154, 0.78247, 0.76791, 0.76414, 0.79589},
{0.74346, 0.69339, 0.51487, 0.63015, 0.71566},
{0.93476, 0.95787, 0.95964, 0.97251, 0.98164}},
{{0.96584, 0.94124, 0.98710, 1.02254, 1.01116},
{0.98863, 0.99477, 0.97659, 0.95000, 1.03484},
{0.95820, 1.01808, 0.97448, 0.92000, 0.98987},
{0.81172, 0.86909, 0.81202, 0.85000, 0.82105},
{0.68203, 0.67948, 0.63245, 0.74658, 0.73855},
{0.66829, 0.44586, 0.50000, 0.67892, 0.69651},
{0.92694, 0.95335, 0.95905, 0.87621, 0.99149}},
{{0.94894, 0.99776, 0.85000, 0.82652, 0.99847},
{1.01786, 0.97000, 0.85000, 0.70000, 0.98856},
{1.00000, 0.95000, 0.85000, 0.60624, 0.94726},
{1.00000, 0.74614, 0.75174, 0.59839, 0.72523},
{0.92221, 0.50000, 0.37680, 0.51711, 0.54863},
{0.50000, 0.45000, 0.42997, 0.40449, 0.53994},
{0.96043, 0.88163, 0.77564, 0.59635, 0.93768}}},
{{{1.03000, 1.04000, 1.00000, 1.00000, 1.04951},
{1.05000, 0.99000, 0.99000, 0.95000, 0.99653},
{1.05000, 0.99000, 0.99000, 0.82000, 0.97194},
{1.05000, 0.79000, 0.88000, 0.82000, 0.95184},
{1.00000, 0.53000, 0.44000, 0.71000, 0.92873},
{0.54000, 0.47000, 0.50000, 0.55000, 0.77395},
{1.03827, 0.92018, 0.91093, 0.82114, 1.03456}},
{{1.04102, 0.99752, 0.96160, 1.00000, 1.03578},
{0.94803, 0.98000, 0.90000, 0.95036, 0.97746},
{0.95000, 0.97725, 0.86927, 0.80000, 0.95168},
{0.95187, 0.85000, 0.74877, 0.70000, 0.88385},
{0.90000, 0.82319, 0.72745, 0.60000, 0.83987},
{0.85000, 0.80502, 0.69231, 0.50000, 0.78841},
{1.01009, 0.89527, 0.77303, 0.81628, 1.01168}},
{{1.02245, 1.00460, 0.98365, 1.00000, 1.03294},
{0.94396, 0.99924, 0.98392, 0.90599, 0.97815},
{0.93624, 0.94648, 0.85000, 0.85000, 0.93032},
{0.81642, 0.88500, 0.64495, 0.81765, 0.86531},
{0.74296, 0.76569, 0.56152, 0.70000, 0.82714},
{0.64387, 0.59671, 0.47446, 0.60000, 0.65120},
{0.97174, 0.94056, 0.71488, 0.86438, 1.00165}},
{{0.99526, 0.97701, 1.00000, 1.00000, 1.03525},
{0.93981, 0.97525, 0.93998, 0.95000, 0.98255},
{0.87687, 0.87944, 0.85000, 0.90000, 0.91781},
{0.87348, 0.87345, 0.75147, 0.85000, 0.86304},
{0.76147, 0.70236, 0.63877, 0.75000, 0.78312},
{0.73408, 0.65000, 0.60000, 0.65000, 0.71566},
{0.94216, 0.91910, 0.77034, 0.73117, 0.99518}},
{{0.95256, 0.91678, 0.92000, 0.90000, 1.00588},
{0.92862, 0.99442, 0.90000, 0.90000, 0.98372},
{0.91307, 0.85000, 0.85000, 0.80000, 0.92428},
{0.86809, 0.80717, 0.82355, 0.60000, 0.84452},
{0.76957, 0.71987, 0.65000, 0.55000, 0.73350},
{0.58025, 0.65000, 0.60000, 0.50000, 0.62885},
{0.90477, 0.85265, 0.70837, 0.49373, 0.94903}},
{{0.91197, 0.80000, 0.80000, 0.80000, 0.95632},
{0.91262, 0.68261, 0.75000, 0.70000, 0.95011},
{0.65345, 0.65933, 0.70000, 0.60000, 0.85611},
{0.64844, 0.60000, 0.64112, 0.50000, 0.69578},
{0.57000, 0.55000, 0.59880, 0.40000, 0.56015},
{0.47523, 0.50000, 0.51864, 0.33997, 0.52023},
{0.74344, 0.59219, 0.60306, 0.31693, 0.79439}}}};
/*logStream << "alt : " << setprecision(3) << setw(5) << *alt
<< ", doy : " << setprecision(3) << setw(3) << *doy
<< ", td : " << setprecision(3) << setw(6) << *td
<< ", z : " << setprecision(3) << setw(5) << z[0] << " " << setprecision(3) << setw(5) << z[1] << " " << setprecision(3) << setw(5) << z[2]
<< ", g : " << setprecision(3) << setw(5) << g[0] << " " << setprecision(3) << setw(5) << g[1] << " " << setprecision(3) << setw(5) << g[2] << endl << flush;
*/
/* Initialized data */
static const float ktbin[6] = {0.24, 0.4, 0.56, 0.7, 0.8, 99999.99},
zbin[6] = {25.0, 40.0, 55.0, 70.0, 80.0, 99999.99},
dktbin[6] = {0.015, 0.035, 0.07, 0.15, 0.3, 99999.99},
wbin[4] = {1.0, 2.0, 3.0, 99999.99},
zbin2[6] = {19.0, 32.5, 47.5, 62.5, 75, 82.5},
wbin2[4] = {0.75, 1.5, 2.5, 3.5};
/* System generated locals */
int i__1;
float ret_val, d__1, d__2, d__3;
/* Local variables */
static float bmax, a, b, c, w, ktpam[3], am[3],
am2, am3, am4, kt2, kt3, coef,
io, cz[3], kt[3], zenith[3], kt1[3], knc, dkt1;
static int i, j, k, l;
/* Parameter adjustments */
--z;
--g;
/* Function Body */
if (g[2] < 1.0)
return 0.0;
// extraterrestrial irradiation is taken here as a fixed value: 1367 W/m^2
io = (cos((*doy)*0.0172142)*0.033 + 1.0)*1367.0;
j = 1;
k = 3;
if (g[1] == -999.0 || z[1] == -999.0) {
j = 2;
kt1[0] = -999.0;
}
if (g[3] == -999.0 || z[3] == -999.0) {
k = 2;
kt1[2] = -999.0;
}
i__1 = k;
for (i=j; i <= i__1; ++i) {
cz[i-1] = cos(z[i]);
if (cz[i-1] < 0.0) {
kt1[i-1] = -999.0;
} else {
zenith[i-1] = z[i] * (180./M_PI);
/* Computing MAX */
d__1 = 0.065, d__2 = cz[i-1];
kt[i-1] = g[i] / (io * max(d__1, d__2));
/* Computing MIN */
d__3 = 93.9 - zenith[i-1];
d__1 = 15.25, d__2 = 1.0 / (cz[i-1] + pow(d__3, (float) -1.253) * 0.15);
am[i-1] = min(d__1, d__2);
ktpam[i-1] = am[i-1] * exp(*alt * -1.184e-4);
kt1[i-1] = kt[i-1] /
(exp(-1.4 / (9.4 / ktpam[i-1] + 0.9)) * 1.031 + 0.1);
}
}
if (cz[1] < 0.0)
return 0.0;
//logStream << "fraction kt : " << kt[0] << " " << kt[1] << " " << kt[2] << endl << flush;
kt2 = kt[1]*kt[1];
kt3 = kt2*kt[1];
if (kt[1] <= 0.6) {
a = 0.512 - kt[1]*1.56 + kt2*2.286 - kt3*2.22;
b = kt[1]*0.962 + 0.37;
c = kt[1]*0.932 - 0.28 - kt2*2.048;
} else {
a = -5.743 + kt[1]*21.77 - kt2*27.49 + kt3*11.56;
b = 41.4 - kt[1]*118.5 + kt2*66.05 + kt3*31.9;
c = kt[1]*184.2 - 47.01 - kt2*222.0 + kt3*73.81;
}
am2 = am[1]*am[1];
am3 = am2*am[1];
am4 = am3*am[1];
knc = 0.866 - am[1]*0.122 + am2*0.0121 - am3*6.53e-4 + am4*1.4e-5;
//logStream << "Calcul de bmax : io = " << io << ", knc = " << knc << ", a = " << a << ", b = " << b << ", c = " << c << endl << flush;
bmax = io * (knc - (a + b * exp(c * am[1]))); // ***************** problem before here ***********
//logStream << "bmax : " << bmax << endl << flush;
if (kt1[0] == -999.0 && kt1[2] == -999.0) {
k = 6;
} else {
if (kt1[0] == -999.0 || zenith[0] >= 85.0) {
dkt1 = fabs(kt1[2] - kt1[1]);
} else if (kt1[2] == -999.|| zenith[2] >= 85.0) {
dkt1 = fabs(kt1[1] - kt1[0]);
} else {
dkt1 = 0.5*(fabs(kt1[1] - kt1[0]) + fabs(kt1[2] - kt1[1]));
}
for (k=0; dkt1 > dktbin[k]; k++) {
}
}
for (i=0; kt1[1] > ktbin[i]; i++) {
}
for (j=0; zenith[1] > zbin[j]; j++) {
}
if (*td == -999.0) {
l = 4;
} else {
w = exp(*td * 0.07 - 0.075);
for (l=0; w > wbin[l]; l++) {
}
}
/*
** If kt is very high, do some bin interpolating
*/
if (i >= 4) {
float aak, bbk, rz, aaz, bbz, rw, aaw, bbw,
c11, c12, c13, c14, c1, c2;
if (kt1[1] >= 0.75) {
aak = min(1.0, (kt1[1] - 0.75)/0.07);
bbk = 1.0 - aak;
} else {
aak = 0.0;
bbk = 1.0;
}
rz = zenith[1] - zbin2[j];
if (rz >= 0.0) {
if (j == 5) {
aaz = 1.0;
bbz = 0.0;
} else {
aaz = (zbin2[j+1] - zenith[1]) / (zbin2[j+1] - zbin2[j]);
bbz = 1.0 - aaz;
}
} else {
if (j == 0) {
aaz = 1.0;
bbz = 0.0;
} else {
j--;
aaz = (zbin2[j+1] - zenith[1]) / (zbin2[j+1] - zbin2[j]);
bbz = 1.0 - aaz;
}
}
rw = w -wbin2[l];
if (l == 4) {
aaw = 1.0;
bbw = 0.0;
} else {
if (rw >= 0.0) {
if (l == 3) {
aaw = 1.0;
bbw = 0.0;
} else {
aaw = (wbin2[l+1] - w) / (wbin2[l+1] - wbin2[l]);
bbw = 1.0 - aaw;
}
} else {
if (l == 0) {
aaw = 1.0;
bbw = 0.0;
} else {
l--;
aaw = (wbin2[l+1] - w) / (wbin2[l+1] - wbin2[l]);
bbw = 1.0 - aaw;
}
}
}
c11 = aak*cm[5][min(5, j+1)][k][l] + bbk*cm[4][min(5, j+1)][k][l];
c12 = aak*cm[5][j][k][l] + bbk*cm[4][j][k][l];
c13 = aak*cm[5][min(5, j+1)][k][min(4, l+1)] +
bbk*cm[4][min(5, j+1)][k][min(4, l+1)];
c14 = aak*cm[5][j][k][min(4, l+1)] + bbk*cm[4][j][k][min(4, l+1)];
c1 = aaz*c12 + bbz*c11;
c2 = aaz*c14 + bbz*c13;
coef = aaw*c1 + bbw*c2;
} else
coef = cm[i][j][k][l];
if ((ret_val = bmax*coef) < 0.0){
//logStream << " ******** ret_val < 0, bmax : " << bmax << endl << flush;
ret_val = 0.0;
}
return ret_val;
} /* dirint */
double Climate::dirint_(float *g, float *z__, float *td, float *alt, float *i0)
{
/* FUNCTION NAME: DIRINT */
/* PROGRAMMED BY: HOWARD M. BISNER AFTER PEREZ ET AL. */
/* REVISED BY : ANTOINE J.F. ZELENKA */
/* ARGUMENTS: G(3) - GLOBAL IRRADIANCE (WATTS / SQ. METER) */
/* Z(3) - SOLAR ZENITH ANGLE (RADIANS) */
/* TD - DEW POINT TEMPERATURE ( DEGREES C) */
/* I0 - TOA NORMAL BEAM OF DATE (WATT / SQ. METER) */
/* ALT - ALTITUDE OF SITE (METERS) */
/* RETURNS: DIRMAX - BEAM IRRADIANCE (WATTS / SQ. METER) */
/* NOTES: THE FUNCTION DIRINT USES THE DISC BEAM MODEL TO */
/* CALCULATE THE BEAM IRRADIANCE RETURNED. THE */
/* ARGUMENT G IS AN ARRAY OF 3 VALUES. THE VALUES */
/* ARE THE GLOBAL IRRADIANCE OF THE PREVIOUS READING, */
/* THE CURRENT READING ,AND THE NEXT READING IN THAT */
/* ORDER. THE ARGUMENT Z USES THE SAME FORMAT, EXCEPT */
/* THE VALUES ARE THE RESPECTIVE SOLAR ZENITH ANGLES. */
/* IF ANY OF THE G OR Z VALUES ARE NOT AVAILABLE OR THE */
/* PREVIOUS OR NEXT READINGS DID NOT OCCUR WITHIN 1.5 */
/* HOURS OF THE CURRENT READING THEN THE APPROPRIATE */
/* VALUE OR VALUES SHOULD BE REPLACED WITH A -999.0. */
/* IF THE ARGUMENT TD IS MISSING THEN THE VALUE */
/* -999.0 SHOULD BE USED IN PLACE OF THE MISSING ARGUMENT. */
/* THE CURRENT GLOBAL IRRADIANCE (G(2)) MUST HAVE A */
/* VALUE. IF THE DEW POINT TEMPERATURE (TD) IS MISSING */
/* THEN TD IS NOT USED TO FIND AN INDEX INTO THE */
/* CORRECTION MATRIX (CM), INSTEAD A SPECIAL COLUMN IN */
/* THE MATRIX IS USED. IF THE PREVIOUS GLOBAL */
/* IRRADIANCE (G(1)) OR SOLAR ZENITH ANGLE (Z(1)) AND */
/* THE NEXT GLOBAL IRRADIANCE (G(3)) OR SOLAR ZENITH ANGLE */
/* (Z(3)) ARE MISSING THEN DELTA KT' (DKT1) IS NOT USED TO */
/* FIND AN INDEX INTO THE CORRECTION MATRIX (CM), INSTEAD */
/* A SPECIAL COLUMN IN THE MATRIX IS USED. */
/* ADDED A 0.82 CAP ON KTPRIME */
/* Table of constant values */
static double c_b3 = -1.253;
/* Initialized data */
static float ktbin[6] = { .24f,.4f,.56f,.7f,.8f,1.f };
static float zbin[6] = { 25.f,40.f,55.f,70.f,80.f,90.f };
static float dktbin[6] = { .015f,.035f,.07f,.15f,.3f,1.f };
static float wbin[4] = { 1.f,2.f,3.f,1e33f };
static float zbin2[6] = { 19.f,32.5f,47.5f,62.5f,75.f,82.5f };
static float wbin2[4] = { .75f,1.5f,2.5f,3.5f };