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QTropDelay.cpp
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QTropDelay.cpp
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#include "QTropDelay.h"
QTropDelay::QTropDelay()
{
}
// setTropFileNames as QTropDelay
void QTropDelay::setTropFileNames(QString GrdFileName,QString ProjectionFun, QString tropMode)
{
initVar();
if(!GrdFileName.isEmpty()) m_GrdFileName = GrdFileName;
if(!tropMode.contains("UNB3", Qt::CaseInsensitive)) isGPT2 = true;
// jugle ProjectionFun
m_ProjectionFun = ProjectionFun;
if (m_ProjectionFun.contains("N",Qt::CaseInsensitive))
m_ProjectFunFlag = 1;
else if (m_ProjectionFun.contains("V",Qt::CaseInsensitive))
m_ProjectFunFlag = 2;
else
m_ProjectFunFlag = 3;
}
QTropDelay::~QTropDelay(void)
{
m_allGrdFile.clear();
}
void QTropDelay::initVar()
{
m_PI = 3.1415926535897932385;//Pi, radians
m_GrdFileName = "gpt2_5.grd";//Path + file name
tempLine = "";
isReadAllData = false;
m_ProjectionFun = "GMF1";
m_ProjectFunFlag = 1;
isGPT2 = false;
double tlat[5] ={15,30,45,60,75};
double tAvgad[5] = {1.2769934e-3,1.2683230e-3,1.2465397e-3,1.2196049e-3,1.2045996e-3},
tAvgbd[5] = {2.9153695e-3,2.9152299e-3,2.9288445e-3,2.9022565e-3,2.9024912e-3},
tAvgcd[5] = {62.620505e-3,62.837393e-3,63.721774e-3,63.824265e-3,64.258455e-3};
double tAmpad[5] = {0,1.2709626e-5,2.6523662e-5,3.4000452e-5,4.1202191e-5},
tAmpbd[5] ={0,2.1414979e-5,3.0160779e-5,7.2562722e-5,11.723375e-5},
tAmpcd[5] = {0,9.0128400e-5,4.3497037e-5,84.795348e-5,170.37206e-5};
double tAvgaw[5] = {5.8021879e-4,5.6794847e-4,5.8118019e-4,5.9727542e-4,6.1641693e-4},
tAvgbw[5] = {1.4275268e-3,1.5138625e-3,1.4572572e-3,1.5007428e-3,1.7599082e-3},
tAvgcw[5] = {4.3472961e-2,4.6729510e-2,4.3908931e-2,4.4626982e-2,5.4736039e-2};
for (int i = 0;i < 5;i++)
{
lat[i] = tlat[i]*m_PI/180;
Avgad[i] = tAvgad[i];Avgbd[i] = tAvgbd[i];Avgcd[i] = tAvgcd[i];
Ampad[i] = tAmpad[i];Ampbd[i] = tAmpbd[i];Ampcd[i] = tAmpcd[i];
Avgaw[i] = tAvgaw[i];Avgbw[i] = tAvgbw[i];Avgcw[i] = tAvgcw[i];
}
}
bool QTropDelay::openGrdFile(QString GrdFileName)
{
if (!GrdFileName.isEmpty())
{
m_ReadFileClass.setFileName(GrdFileName);
if (!m_ReadFileClass.open(QFile::ReadOnly))//If the file fails to open......
{
isReadAllData = true;//Open only once
isGPT2 = false;//Unable to use GPT2 model
return false;
}
}
else
{
isReadAllData = true;//Open only once
isGPT2 = false;//Unable to use GPT2 model
}
return true;
}
void QTropDelay::readGrdFile(QString grdFileName)
{
if (isReadAllData) return;
//Skip the investment bank title
tempLine = m_ReadFileClass.readLine();
while (!m_ReadFileClass.atEnd())
{
GrdFileVar GrdvarT;
tempLine = m_ReadFileClass.readLine();
GrdvarT.lat = tempLine.mid(0,6).toDouble();
GrdvarT.lon = tempLine.mid(7,6).toDouble();
GrdvarT.pgrid[0] = tempLine.mid(14,6).toDouble();
GrdvarT.pgrid[1] = tempLine.mid(21,5).toDouble();
GrdvarT.pgrid[2] = tempLine.mid(27,4).toDouble();
GrdvarT.pgrid[3] = tempLine.mid(32,4).toDouble();
GrdvarT.pgrid[4] = tempLine.mid(37,4).toDouble();
GrdvarT.Tgrid[0] = tempLine.mid(42,5).toDouble();
GrdvarT.Tgrid[1] = tempLine.mid(48,5).toDouble();
GrdvarT.Tgrid[2] = tempLine.mid(54,4).toDouble();
GrdvarT.Tgrid[3] = tempLine.mid(59,4).toDouble();
GrdvarT.Tgrid[4] = tempLine.mid(64,4).toDouble();
GrdvarT.Qgrid[0] = tempLine.mid(69,5).toDouble() / 1000;
GrdvarT.Qgrid[1] = tempLine.mid(75,5).toDouble() / 1000;
GrdvarT.Qgrid[2] = tempLine.mid(81,5).toDouble() / 1000;
GrdvarT.Qgrid[3] = tempLine.mid(87,5).toDouble() / 1000;
GrdvarT.Qgrid[4] = tempLine.mid(93,5).toDouble() / 1000;
GrdvarT.dTgrid[0] = tempLine.mid(99,5).toDouble() / 1000;
GrdvarT.dTgrid[1] = tempLine.mid(105,5).toDouble() / 1000;
GrdvarT.dTgrid[2] = tempLine.mid(111,4).toDouble() / 1000;
GrdvarT.dTgrid[3] = tempLine.mid(116,4).toDouble() / 1000;
GrdvarT.dTgrid[4] = tempLine.mid(121,4).toDouble() / 1000;
GrdvarT.u = tempLine.mid(126,7).toDouble();
GrdvarT.Hs = tempLine.mid(134,8).toDouble();
GrdvarT.ahgrid[0] = tempLine.mid(143,6).toDouble() / 1000;
GrdvarT.ahgrid[1] = tempLine.mid(150,7).toDouble() / 1000;
GrdvarT.ahgrid[2] = tempLine.mid(158,7).toDouble() / 1000;
GrdvarT.ahgrid[3] = tempLine.mid(166,7).toDouble() / 1000;
GrdvarT.ahgrid[4] = tempLine.mid(174,7).toDouble() / 1000;
GrdvarT.awgrid[0] = tempLine.mid(182,7).toDouble() / 1000;
GrdvarT.awgrid[1] = tempLine.mid(190,7).toDouble() / 1000;
GrdvarT.awgrid[2] = tempLine.mid(198,7).toDouble() / 1000;
GrdvarT.awgrid[3] = tempLine.mid(206,7).toDouble() / 1000;
GrdvarT.awgrid[4] = tempLine.mid(214,7).toDouble() / 1000;
m_allGrdFile.append(GrdvarT);
}
m_ReadFileClass.close();//Close file
isReadAllData = true;
}
//Read all grd files
void QTropDelay::getAllData()
{
if(isGPT2&&(!isReadAllData))
{
openGrdFile(m_GrdFileName);
readGrdFile(m_GrdFileName);
}
}
//Calculate the dry (md) and wet (mw) projection functions of the Neil projection
//Calculating the dry (md) and wet (mw) projection functions of the Neil projection is suitable for mid-latitude, and the high-latitude causes the deviation of the elevation direction.
void QTropDelay::getNeilParm(double E,double H,double Lat,int TDay,double &md,double &mw)
{
double aht = 2.53e-5,bht = 5.49e-3,cht = 1.14e-3;
double ad = 0,bd = 0,cd = 0;//Dry component abc
double aw = 0,bw = 0,cw = 0;//Wet component abc
double T0 = 28;
//Find location
int flag = 0;
for(int i = 0;i < 5;i++)
if (Lat > lat[i])
flag++;
else
break;
//Calculate the dry and wet component abc
if (Lat > 15*m_PI/180&&Lat < 75*m_PI/180)
{
ad = Avgad[flag - 1] + (Avgad[flag] - Avgad[flag - 1])*(Lat - lat[flag - 1])/(lat[flag] - lat[flag - 1])
+ Ampad[flag - 1] + (Ampad[flag] - Ampad[flag - 1])*(Lat - lat[flag - 1])*qCos(2*m_PI*(TDay - T0)/365.25)/(lat[flag] - lat[flag - 1]);
bd = Avgbd[flag - 1] + (Avgbd[flag] - Avgbd[flag - 1])*(Lat - lat[flag - 1])/(lat[flag] - lat[flag - 1])
+ Ampbd[flag - 1] + (Ampbd[flag] - Ampbd[flag - 1])*(Lat - lat[flag - 1])*qCos(2*m_PI*(TDay - T0)/365.25)/(lat[flag] - lat[flag - 1]);
cd = Avgcd[flag - 1] + (Avgcd[flag] - Avgcd[flag - 1])*(Lat - lat[flag - 1])/(lat[flag] - lat[flag - 1])
+ Ampcd[flag - 1] + (Ampcd[flag] - Ampcd[flag - 1])*(Lat - lat[flag - 1])*qCos(2*m_PI*(TDay - T0)/365.25)/(lat[flag] - lat[flag - 1]);
aw = Avgaw[flag - 1] + (Avgaw[flag] - Avgaw[flag - 1])*(Lat - lat[flag - 1])/(lat[flag] - lat[flag - 1]);
bw = Avgbw[flag - 1] + (Avgbw[flag] - Avgbw[flag - 1])*(Lat - lat[flag - 1])/(lat[flag] - lat[flag - 1]);
cw = Avgcw[flag - 1] + (Avgcw[flag] - Avgcw[flag - 1])*(Lat - lat[flag - 1])/(lat[flag] - lat[flag - 1]);
}
else if (Lat <= 15*m_PI/180)
{
ad = Avgad[0] + Avgad[0]*qCos(2*m_PI*(TDay - T0)/365.25);
bd = Avgbd[0] + Avgbd[0]*qCos(2*m_PI*(TDay - T0)/365.25);
cd = Avgcd[0] + Avgcd[0]*qCos(2*m_PI*(TDay - T0)/365.25);
aw = Avgaw[0] + Avgaw[0]*(Lat - lat[flag - 1])/(lat[flag] - lat[flag - 1]);
bw = Avgbw[0] + Avgbw[0]*(Lat - lat[flag - 1])/(lat[flag] - lat[flag - 1]);
cw = Avgcw[0] + Avgcw[0]*(Lat - lat[flag - 1])/(lat[flag] - lat[flag - 1]);
}
else if (Lat >= 75*m_PI/180)
{
ad = Avgad[4] + Avgad[4]*qCos(2*m_PI*(TDay - T0)/365.25);
bd = Avgbd[4] + Avgbd[4]*qCos(2*m_PI*(TDay - T0)/365.25);
cd = Avgcd[4] + Avgcd[4]*qCos(2*m_PI*(TDay - T0)/365.25);
aw = Avgaw[4] + Avgaw[4]*(Lat - lat[flag - 1])/(lat[flag] - lat[flag - 1]);
bw = Avgbw[4] + Avgbw[4]*(Lat - lat[flag - 1])/(lat[flag] - lat[flag - 1]);
cw = Avgcw[4] + Avgcw[4]*(Lat - lat[flag - 1])/(lat[flag] - lat[flag - 1]);
}
//（Li Zhenghang second edition, GPS measurement and data processing errors）
/*md = (1/(1+ad/(1+bd/(1+cd))))/(1/(qSin(E)+ad/(qSin(E)+bd/(qSin(E)+cd))))
+(1/qSin(E) - (1/(1+aht/(1+bht/(1+cht)))/(1/(qSin(E)+(aht/(qSin(E)+bht/(qSin(E)+cht)))))))*H/1000;
mw = (1/(1+aw/(1+bw/(1+cw))))/(1/(qSin(E)+aw/(qSin(E)+bw/(qSin(E)+cw))));*/
//Calculate the projection function
md = (1+ad/(1+bd/(1+cd)))/(qSin(E)+ad/(qSin(E)+bd/(qSin(E)+cd)))
+(1/qSin(E) - (1+aht/(1+bht/(1+cht)))/(qSin(E)+(aht/(qSin(E)+bht/(qSin(E)+cht)))))*H/1000;
mw = (1+aw/(1+bw/(1+cw)))/(qSin(E)+aw/(qSin(E)+bw/(qSin(E)+cw)));
}
//Calculate the dry (md) and wet (mw) projection functions of the VMF1 projection
void QTropDelay::getVMF1Parm(double ah,double aw,double E,double Lat,double H,int TDay,double &md,double &mw)
{
double bd = 0.0029,cd = 0;//Dry projection coefficient
double bw = 0.00146,cw = 0.04391;
double aht = 2.53e-5,bht = 5.49e-3,cht = 1.14e-3;
if(Lat < 0)
{
double c0 = 0.062,c11 = 0.001,c10 = 0.006,ph = m_PI;//MM_PI
cd = c0 + ( (qCos(2*m_PI*(TDay - 28)/365 + ph) + 1)*c11/2 + c10 )*(1 - qCos(-Lat));
}
else
{
double c0 = 0.062,c11 = 0.0,c10 = 0.006,ph = 0;
cd = c0 + ( (qCos(2*m_PI*(TDay - 28)/365 + ph) + 1)*c11/2 + c10 )*(1 - qCos(Lat));
}
//Calculate the projection function
md = (1+ah/(1+bd/(1+cd)))/(qSin(E)+ah/(qSin(E)+bd/(qSin(E)+cd)))
+(1/qSin(E) - (1+aht/(1+bht/(1+cht)))/(qSin(E)+(aht/(qSin(E)+bht/(qSin(E)+cht)))))*H/1000;
mw = (1+aw/(1+bw/(1+cw)))/(qSin(E)+aw/(qSin(E)+bw/(qSin(E)+cw)));
}
//Calculate the dry (md) and wet (mw) projection functions of the VMF1 projection
void QTropDelay::getGMFParm(double MJD,double *pBLH,double E,double &md,double &mw)
{
trop_map_gmf(MJD,pBLH[0],pBLH[1],pBLH[2],m_PI/2 - E,&md,&mw);
}
//Sass empirical model for calculating troposphere (dry delay)
double QTropDelay::getSassDelay(double &ZHD,double &ZWD,double B, double H,double E)
{
//No actual measurement of meteorological data
//Paper calculation parameters
double T0 = 288.15;
double P0 = 1013.25;
double e0 = 11.691;
double Ps = P0*qPow((1-0.0068*H/T0),5);
double Ts = T0 - 0.0068 * H;
double Es =0;//Water pressure
if (H < 11000)
Es = e0 * qPow((1 - 0.0068 * H / T0), 4);
else
Es = 0.0;
double f = 1 - 0.00266 * qCos(2 * B) - 0.00028 * H/1000;
ZHD = 0.002277 * Ps / f;
ZWD = 0.002277*(1255/Ts + 0.05)*Es/f;
return 0;
}
//Hopfield empirical model to calculate troposphere (total delay)
double QTropDelay::getHopfieldDelay(double &SD,double &SW, double H,double E)
{
//No actual measurement of meteorological data
//Paper calculation parameters
double T0 = 288.15;
double P0 = 1013.25;
double e0 = 11.691;
double Ps = P0*qPow((1-0.0068*H/T0),5);
double Ts = T0 - 0.0068 * H;
double Es =0;//Water pressure
if (H < 11000)
Es = e0 * qPow((1 - 0.0068 * H / T0), 4);
else
Es = 0.0;
double dltS = 0;
double Sd = 0;//Dryness
double Sw = 0;//humidity
double hd = 40136 + 148.72*(Ts - 273.16);
double hw = 11000;
double Kd = (155.2e-7) * Ps * (hd - H) / Ts;
double Kw = (155.2e-7) * 4810 * Es *(hw - H) / (Ts*Ts);
Sd = Kd/qSin(qSqrt(E*E + 6.25)*m_PI/180);
Sw = Kw/qSin(qSqrt(E*E + 2.25)*m_PI/180);
SD = Sd;
Sw = Sw;
return (Sd + Sw);
}
//Humidity adopts GPT2+Hopfield (zenith dry and wet delay)
GPT2Result QTropDelay::HopfieldDelay(double &ZHD,double &ZWD,double dmjd,double dlat,double dlon,double hell,double it /* = 0 */)
{//E:Satellite elevation angle
GPT2Result m_PTe = getGPT2Model(dmjd,dlat,dlon,hell);
m_PTe.T +=273.15;//Convert to open Celsius
double hd = 40136 + 148.72*(m_PTe.T - 273.16);
ZHD = (155.2e-7) * m_PTe.p * (hd - hell) / m_PTe.T;
ZWD = (155.2e-7) * 4810 * m_PTe.e *(11000 - hell) / (m_PTe.T*m_PTe.T);
m_PTe.T -= 273.15;//Change to Chinese Celsius
return(m_PTe);
}
//GPT2 Estimate + Simplified Saastamoinen Model
GPT2Result QTropDelay::SassstaMDelay(double &ZHD,double &ZWD,double dmjd,double dlat,double dlon,double hell,double it /* = 0 */)
{
GPT2Result m_PTe = getGPT2Model(dmjd,dlat,dlon,hell);
m_PTe.T +=273.15;//Convert to open Celsius
double f = 1 - 0.00266 * qCos(2 * dlat) - 0.00028 * hell/1000;
ZHD = 0.002277*m_PTe.p/f;
ZWD = 0.002277*(1255/m_PTe.T + 0.05)*m_PTe.e/f;
m_PTe.T -= 273.15;//Change to Chinese Celsius
return m_PTe;
}
//Use GPT2+Hopfield + Zenill+VMF1 projection function
double QTropDelay::getGPT2HopfieldDelay(double MJD, int TDay, double E, double *pBLH, double *mf, double *ZPD, double *tZHD)
{
if (!isReadAllData)
{
isGPT2 = true;
getAllData();
}
double ZHD = 0,ZWD = 0;//Zen top dry and wet content
double mD = 0,mW = 0;//Projection function
GPT2Result tempGPT2 = HopfieldDelay(ZHD,ZWD,MJD,pBLH[0],pBLH[1],pBLH[2]);
if (m_ProjectFunFlag == 1)
getNeilParm(E,pBLH[2],pBLH[0],TDay,mD,mW);
else if (m_ProjectFunFlag == 2)
getVMF1Parm(tempGPT2.ah,tempGPT2.aw,E,pBLH[0],pBLH[2],TDay,mD,mW);
else
getGMFParm(MJD,pBLH,E,mD,mW);
if (mf) *mf = mW;//Return only wet delay projection here
if(ZPD) *ZPD = ZHD*mD + ZWD*mW;
if(tZHD) *tZHD = ZHD;// dbug by xiaogongwei 2018.12.24
return (ZHD*mD);//Return only dry delay!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
//return (ZHD*mD+ZWD*mW);//Total delay in adding projection function
}
//Adopt GPT2+Sassta (zenith dry and wet delay）+Neill+VMF1 Projection function
double QTropDelay::getGPT2SasstaMDelay(double MJD, int TDay, double E, double *pBLH, double *mf, double *ZPD, double *tZHD)
{
if (!isReadAllData)
{
isGPT2 = true;
getAllData();
}
double ZHD = 0,ZWD = 0;//Zen top dry and wet content
double mD = 0,mW = 0;//Projection function
GPT2Result tempGPT2 = SassstaMDelay(ZHD,ZWD,MJD,pBLH[0],pBLH[1],pBLH[2]);
if (m_ProjectFunFlag == 1)
getNeilParm(E,pBLH[2],pBLH[0],TDay,mD,mW);
else if (m_ProjectFunFlag == 2)
getVMF1Parm(tempGPT2.ah,tempGPT2.aw,E,pBLH[0],pBLH[2],TDay,mD,mW);
else
getGMFParm(MJD,pBLH,E,mD,mW);
if (mf) *mf = mW;//Return only wet delay projection here
if(ZPD) *ZPD = ZHD*mD + ZWD*mW;
if(tZHD) *tZHD = ZHD;// dbug by xiaogongwei 2018.12.24
return (ZHD*mD);//Return only dry delay!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
//return (ZHD*mD+ZWD*mW);//Total delay in adding projection function
}
//GPTdata stores air pressure (hPa), temperature (C), and ellipsoid height difference（Geoid undulation）（m）
void QTropDelay::getGPTModel(double dmjd,double dlat,double dlon,double hell,double *GPTdata)
{
double pres = 0,temp = 0,umdo = 0;
trop_gpt(dmjd,dlat,dlon,hell,&pres,&temp,&umdo);
GPTdata[0] = pres;
GPTdata[1] = temp;
GPTdata[2] = umdo;
}
//GPT2 calculates temperature, air pressure, humidity deceleration rate, specific humidity, ah, aw of VMF1
/*
% dmjd: modified Julian date (scalar, only one epoch per call is possible)
% dlat: ellipsoidal latitude in radians [-pi/2:+pi/2] (vector)
% dlon: longitude in radians [-pi:pi] or [0:2pi] (vector)
% hell: ellipsoidal height in m (vector)
% it: case 1: no time variation but static quantities
% case 0: with time variation (annual and semiannual terms)
*/
GPT2Result QTropDelay::getGPT2Model(double dmjd,double dlat,double dlon,double hell,double it)
{
GPT2Result m_resualt;
if(!isGPT2) return m_resualt;
//% change the reference epoch to January 1 2000
double dmjd1 = dmjd-51544.5;
//% mean gravity in m/s**2
double gm = 9.80665;
//% molar mass of dry air in kg/mol
double dMtr = 28.965e-3;
//% universal gas constant in J/K/mol
double Rg = 8.3143;
double cosfy = 0,coshy = 0,sinfy = 0,sinhy = 0;
if (it == 1) //% then constant parameters
{
cosfy = 0;
coshy = 0;
sinfy = 0;
sinhy = 0;
}
else
{
cosfy = cos(dmjd1/365.25*2*m_PI);
coshy = cos(dmjd1/365.25*4*m_PI);
sinfy = sin(dmjd1/365.25*2*m_PI);
sinhy = sin(dmjd1/365.25*4*m_PI);
}
//Read grd file
//getAllData();
double plon = 0,ppod = 0;
//% only positive longitude in degrees
if (dlon < 0)
plon = (dlon + 2*m_PI)*180/m_PI;
else
plon = dlon*180/m_PI;
// % transform to polar distance in degrees
ppod = (-dlat + m_PI/2)*180/m_PI;
//% find the index (line in the grid file) of the nearest point
double ipod = qFloor((ppod+5)/5);
double ilon = qFloor((plon+5)/5);
//% normalized (to one) differences, can be positive or negative
double diffpod = (ppod - (ipod*5 - 2.5))/5;
double difflon = (plon - (ilon*5 - 2.5))/5;
// % added by HCY
if (ipod == 37)
ipod = 36;
//% get the number of the corresponding line
double indx1 = (ipod - 1)*72 + ilon - 1;
//% near the poles: nearest neighbour interpolation, otherwise: bilinear
double bilinear = 0;
if (ppod > 2.5 && ppod < 177.5 )
bilinear = 1;
//% case of nearest neighbourhood
if (bilinear == 0)
{
double ix = indx1;
GrdFileVar tempGrdVar = m_allGrdFile.at(ix);
// % transforming ellipsoidial height to orthometric height
m_resualt.undu = tempGrdVar.u;
double hgt = hell - tempGrdVar.u;
// % pressure, temperature at the heigtht of the grid
double T0 = tempGrdVar.Tgrid[0] +
tempGrdVar.Tgrid[1]*cosfy + tempGrdVar.Tgrid[2]*sinfy +
tempGrdVar.Tgrid[3]*coshy + tempGrdVar.Tgrid[4]*sinhy;
double p0 = tempGrdVar.pgrid[0] +
tempGrdVar.pgrid[1]*cosfy + tempGrdVar.pgrid[2]*sinfy+
tempGrdVar.pgrid[3]*coshy + tempGrdVar.pgrid[4]*sinhy;
//% specific humidity
double Q = tempGrdVar.Qgrid[0] +
tempGrdVar.Qgrid[1]*cosfy + tempGrdVar.Qgrid[2]*sinfy+
tempGrdVar.Qgrid[3]*coshy + tempGrdVar.Qgrid[4]*sinhy;
//% lapse rate of the temperature
m_resualt.dT = tempGrdVar.dTgrid[0] +
tempGrdVar.dTgrid[1]*cosfy + tempGrdVar.dTgrid[2]*sinfy+
tempGrdVar.dTgrid[3]*coshy + tempGrdVar.dTgrid[4]*sinhy;
//% station height - grid height
double redh = hgt - tempGrdVar.Hs;
// % temperature at station height in Celsius
m_resualt.T = T0 + m_resualt.dT*redh - 273.15;
// % temperature lapse rate in degrees / km
m_resualt.dT = m_resualt.dT*1000;
// % virtual temperature in Kelvin
double Tv = T0*(1+0.6077*Q);
double c = gm*dMtr/(Rg*Tv);
//% pressure in hPa
m_resualt.p = (p0*qExp(-c*redh))/100;
//% water vapour pressure in hPa
m_resualt.e = (Q*m_resualt.p)/(0.622+0.378*Q);
//% hydrostatic coefficient ah
m_resualt.ah = tempGrdVar.ahgrid[0] +
tempGrdVar.ahgrid[1]*cosfy + tempGrdVar.ahgrid[2]*sinfy+
tempGrdVar.ahgrid[3]*coshy + tempGrdVar.ahgrid[4]*sinhy;
//% wet coefficient aw
m_resualt.aw = tempGrdVar.awgrid[0] +
tempGrdVar.awgrid[1]*cosfy + tempGrdVar.awgrid[2]*sinfy +
tempGrdVar.awgrid[3]*coshy + tempGrdVar.awgrid[4]*sinhy;
}
else if(bilinear == 1)
{// % bilinear interpolation
double signpod = 0;
double signlon = 0;
if (diffpod > 0)
signpod = 1;
else if(diffpod < 0)
signpod = -1;
if (difflon > 0)
signlon = 1;
else if(difflon < 0)
signlon = -1;
double ipod1 = ipod + signpod;// sign(diffpod);
double ilon1 = ilon + signlon;// sign(difflon);
if (ilon1 == 73)
ilon1 = 1;
else if(ilon1 == 0)
ilon1 = 72;
// % get the number of the line
double indx2 = (ipod1 - 1)*72 + ilon -1;// % along same longitude
double indx3 = (ipod - 1)*72 + ilon1 - 1;//% along same polar distance
double indx4 = (ipod1 - 1)*72 + ilon1 - 1;// % diagonal
//Defining variables
double undul[4] = {0},Ql[4] = {0},dTl[4] = {0},Tl[4] = {0},
pl[4] = {0},ahl[4] = {0},awl[4] = {0};
double Indexflag[4] = {indx1,indx2,indx3,indx4};
for (int l = 0;l < 4;l++)
{
GrdFileVar tempGrdVar = m_allGrdFile.at(Indexflag[l]);
// % transforming ellipsoidial height to orthometric height:
//% Hortho = -N + Hell
undul[l] = tempGrdVar.u;
double hgt = hell -undul[l];
//% pressure, temperature at the heigtht of the grid
double T0 = tempGrdVar.Tgrid[0] +
tempGrdVar.Tgrid[1]*cosfy + tempGrdVar.Tgrid[2]*sinfy +
tempGrdVar.Tgrid[3]*coshy + tempGrdVar.Tgrid[4]*sinhy;
double p0 = tempGrdVar.pgrid[0] +
tempGrdVar.pgrid[1]*cosfy + tempGrdVar.pgrid[2]*sinfy +
tempGrdVar.pgrid[3]*coshy + tempGrdVar.pgrid[4]*sinhy;
//% humidity
Ql[l] = tempGrdVar.Qgrid[0] +
tempGrdVar.Qgrid[1]*cosfy + tempGrdVar.Qgrid[2]*sinfy +
tempGrdVar.Qgrid[3]*coshy + tempGrdVar.Qgrid[4]*sinhy;
// % reduction = stationheight - gridheight
double Hs1 = tempGrdVar.Hs;
double redh = hgt - Hs1;
//% lapse rate of the temperature in degree / m
dTl[l] = tempGrdVar.dTgrid[0] +
tempGrdVar.dTgrid[1]*cosfy + tempGrdVar.dTgrid[2]*sinfy +
tempGrdVar.dTgrid[3]*coshy + tempGrdVar.dTgrid[4]*sinhy;
// % temperature reduction to station height
Tl[l] = T0 + dTl[l]*redh - 273.15;
// % virtual temperature
double Tv = T0*(1+0.6077*Ql[l]);
double c = gm*dMtr/(Rg*Tv);
//% pressure in hPa
pl[l] = (p0*qExp(-c*redh))/100;
// % hydrostatic coefficient ah
ahl[l] = tempGrdVar.ahgrid[0] +
tempGrdVar.ahgrid[1]*cosfy + tempGrdVar.ahgrid[2]*sinfy +
tempGrdVar.ahgrid[3]*coshy + tempGrdVar.ahgrid[4]*sinhy;
//% wet coefficient aw
awl[l] = tempGrdVar.awgrid[0] +
tempGrdVar.awgrid[1]*cosfy + tempGrdVar.awgrid[2]*sinfy +
tempGrdVar.awgrid[3]*coshy + tempGrdVar.awgrid[4]*sinhy;
}//for (int l = 0;l < 3;l++)
double dnpod1 = qAbs(diffpod); //% distance nearer point
double dnpod2 = 1 - dnpod1; // % distance to distant point
double dnlon1 = qAbs(difflon);
double dnlon2 = 1 - dnlon1;
// % pressure
double R1 = dnpod2*pl[0]+dnpod1*pl[1];
double R2 = dnpod2*pl[2]+dnpod1*pl[3];
m_resualt.p = dnlon2*R1+dnlon1*R2;
// % temperature
R1 = dnpod2*Tl[0]+dnpod1*Tl[1];
R2 = dnpod2*Tl[2]+dnpod1*Tl[3];
m_resualt.T = dnlon2*R1+dnlon1*R2;
// % temperature in degree per km
R1 = dnpod2*dTl[0]+dnpod1*dTl[1];
R2 = dnpod2*dTl[2]+dnpod1*dTl[3];
m_resualt.dT = (dnlon2*R1+dnlon1*R2)*1000;
// % humidity
R1 = dnpod2*Ql[0]+dnpod1*Ql[1];
R2 = dnpod2*Ql[2]+dnpod1*Ql[3];
double Q = dnlon2*R1+dnlon1*R2;
m_resualt.e = (Q*m_resualt.p)/(0.622+0.378*Q);
//% hydrostatic
R1 = dnpod2*ahl[0]+dnpod1*ahl[1];
R2 = dnpod2*ahl[2]+dnpod1*ahl[3];
m_resualt.ah = dnlon2*R1+dnlon1*R2;
//% wet
R1 = dnpod2*awl[0]+dnpod1*awl[1];
R2 = dnpod2*awl[2]+dnpod1*awl[3];
m_resualt.aw = dnlon2*R1+dnlon1*R2;
//% undulation
R1 = dnpod2*undul[0]+dnpod1*undul[1];
R2 = dnpod2*undul[2]+dnpod1*undul[3];
m_resualt.undu = dnlon2*R1+dnlon1*R2;
}
return m_resualt;
}
//Refer to someone else's GPT model as follows
/*****************************************************************************
* Name : trop_gpt
*
* Description : Calcaulate Global Pressure and Temperature based on
* Spherical Harmonics up to degree and order 9
*
* Parameters :
* Name |Da|Unit|Description
* double dmjd I N/A Modified julian date
* double dlat I rad Ellipsoidal latitude
* double dlon I rad Ellipsoidal longitude
* double dhgt I m Height
* double *pres O hPa Pressure
* double *temp O C Temperature
* double *undu O m Geoid undulation (from a 9x9 EGM based model)
*
* Reference:
* J. B鰄m, R. Heinkelmann, H. Schuh, Short Note: A Global Model of
* Pressure and Temperature for Geodetic Applications,
* Journal of Geodesy, doi:10.1007/s00190-007-0135-3, 2007.
*
* Author: Feng Zhou
*
* Originally written by Feng Zhou on 15/12/2015 @ GFZ
*
*
* Section 1.1, GPS/Galileo technologies, GFZ German Research Centre for Geosciences
*
*****************************************************************************/
void QTropDelay::trop_gpt(double dmjd,double dlat,double dlon,double dhgt,double *pres,double *temp,double *undu)
{
double doy,sinlat;
int i,j,k,n,m,im,ir;
double dfac[20],p[10][10],ap[55],bp[55];
double sum1,apm,apa,atm,ata,hort,pres0,temp0;
// reference day is 28 January
// this is taken from Niell (1996) to be consistent
doy = dmjd-44239+1-28;
// initialized data
static double a_geoid[55] = {
-5.6195e-001,-6.0794e-002,-2.0125e-001,-6.4180e-002,-3.6997e-002,
+1.0098e+001,+1.6436e+001,+1.4065e+001,+1.9881e+000,+6.4414e-001,
-4.7482e+000,-3.2290e+000,+5.0652e-001,+3.8279e-001,-2.6646e-002,
+1.7224e+000,-2.7970e-001,+6.8177e-001,-9.6658e-002,-1.5113e-002,
+2.9206e-003,-3.4621e+000,-3.8198e-001,+3.2306e-002,+6.9915e-003,
-2.3068e-003,-1.3548e-003,+4.7324e-006,+2.3527e+000,+1.2985e+000,
+2.1232e-001,+2.2571e-002,-3.7855e-003,+2.9449e-005,-1.6265e-004,
+1.1711e-007,+1.6732e+000,+1.9858e-001,+2.3975e-002,-9.0013e-004,
-2.2475e-003,-3.3095e-005,-1.2040e-005,+2.2010e-006,-1.0083e-006,
+8.6297e-001,+5.8231e-001,+2.0545e-002,-7.8110e-003,-1.4085e-004,
-8.8459e-006,+5.7256e-006,-1.5068e-006,+4.0095e-007,-2.4185e-008
};
static double b_geoid[55] = {
+0.0000e+000,+0.0000e+000,-6.5993e-002,+0.0000e+000,+6.5364e-002,
-5.8320e+000,+0.0000e+000,+1.6961e+000,-1.3557e+000,+1.2694e+000,
+0.0000e+000,-2.9310e+000,+9.4805e-001,-7.6243e-002,+4.1076e-002,
+0.0000e+000,-5.1808e-001,-3.4583e-001,-4.3632e-002,+2.2101e-003,
-1.0663e-002,+0.0000e+000,+1.0927e-001,-2.9463e-001,+1.4371e-003,
-1.1452e-002,-2.8156e-003,-3.5330e-004,+0.0000e+000,+4.4049e-001,
+5.5653e-002,-2.0396e-002,-1.7312e-003,+3.5805e-005,+7.2682e-005,
+2.2535e-006,+0.0000e+000,+1.9502e-002,+2.7919e-002,-8.1812e-003,
+4.4540e-004,+8.8663e-005,+5.5596e-005,+2.4826e-006,+1.0279e-006,
+0.0000e+000,+6.0529e-002,-3.5824e-002,-5.1367e-003,+3.0119e-005,
-2.9911e-005,+1.9844e-005,-1.2349e-006,-7.6756e-009,+5.0100e-008
};
static double ap_mean[55] = {
+1.0108e+003,+8.4886e+000,+1.4799e+000,-1.3897e+001,+3.7516e-003,
-1.4936e-001,+1.2232e+001,-7.6615e-001,-6.7699e-002,+8.1002e-003,
-1.5874e+001,+3.6614e-001,-6.7807e-002,-3.6309e-003,+5.9966e-004,
+4.8163e+000,-3.7363e-001,-7.2071e-002,+1.9998e-003,-6.2385e-004,
-3.7916e-004,+4.7609e+000,-3.9534e-001,+8.6667e-003,+1.1569e-002,
+1.1441e-003,-1.4193e-004,-8.5723e-005,+6.5008e-001,-5.0889e-001,
-1.5754e-002,-2.8305e-003,+5.7458e-004,+3.2577e-005,-9.6052e-006,
-2.7974e-006,+1.3530e+000,-2.7271e-001,-3.0276e-004,+3.6286e-003,
-2.0398e-004,+1.5846e-005,-7.7787e-006,+1.1210e-006,+9.9020e-008,
+5.5046e-001,-2.7312e-001,+3.2532e-003,-2.4277e-003,+1.1596e-004,
+2.6421e-007,-1.3263e-006,+2.7322e-007,+1.4058e-007,+4.9414e-009
};
static double bp_mean[55] = {
+0.0000e+000,+0.0000e+000,-1.2878e+000,+0.0000e+000,+7.0444e-001,
+3.3222e-001,+0.0000e+000,-2.9636e-001,+7.2248e-003,+7.9655e-003,
+0.0000e+000,+1.0854e+000,+1.1145e-002,-3.6513e-002,+3.1527e-003,
+0.0000e+000,-4.8434e-001,+5.2023e-002,-1.3091e-002,+1.8515e-003,
+1.5422e-004,+0.0000e+000,+6.8298e-001,+2.5261e-003,-9.9703e-004,
-1.0829e-003,+1.7688e-004,-3.1418e-005,+0.0000e+000,-3.7018e-001,
+4.3234e-002,+7.2559e-003,+3.1516e-004,+2.0024e-005,-8.0581e-006,
-2.3653e-006,+0.0000e+000,+1.0298e-001,-1.5086e-002,+5.6186e-003,
+3.2613e-005,+4.0567e-005,-1.3925e-006,-3.6219e-007,-2.0176e-008,
+0.0000e+000,-1.8364e-001,+1.8508e-002,+7.5016e-004,-9.6139e-005,
-3.1995e-006,+1.3868e-007,-1.9486e-007,+3.0165e-010,-6.4376e-010
};
static double ap_amp[55] = {
-1.0444e-001,+1.6618e-001,-6.3974e-002,+1.0922e+000,+5.7472e-001,
-3.0277e-001,-3.5087e+000,+7.1264e-003,-1.4030e-001,+3.7050e-002,
+4.0208e-001,-3.0431e-001,-1.3292e-001,+4.6746e-003,-1.5902e-004,
+2.8624e+000,-3.9315e-001,-6.4371e-002,+1.6444e-002,-2.3403e-003,
+4.2127e-005,+1.9945e+000,-6.0907e-001,-3.5386e-002,-1.0910e-003,
-1.2799e-004,+4.0970e-005,+2.2131e-005,-5.3292e-001,-2.9765e-001,
-3.2877e-002,+1.7691e-003,+5.9692e-005,+3.1725e-005,+2.0741e-005,
-3.7622e-007,+2.6372e+000,-3.1165e-001,+1.6439e-002,+2.1633e-004,
+1.7485e-004,+2.1587e-005,+6.1064e-006,-1.3755e-008,-7.8748e-008,
-5.9152e-001,-1.7676e-001,+8.1807e-003,+1.0445e-003,+2.3432e-004,
+9.3421e-006,+2.8104e-006,-1.5788e-007,-3.0648e-008,+2.6421e-010
};
static double bp_amp[55] = {
+0.0000e+000,+0.0000e+000,+9.3340e-001,+0.0000e+000,+8.2346e-001,
+2.2082e-001,+0.0000e+000,+9.6177e-001,-1.5650e-002,+1.2708e-003,
+0.0000e+000,-3.9913e-001,+2.8020e-002,+2.8334e-002,+8.5980e-004,
+0.0000e+000,+3.0545e-001,-2.1691e-002,+6.4067e-004,-3.6528e-005,
-1.1166e-004,+0.0000e+000,-7.6974e-002,-1.8986e-002,+5.6896e-003,
-2.4159e-004,-2.3033e-004,-9.6783e-006,+0.0000e+000,-1.0218e-001,
-1.3916e-002,-4.1025e-003,-5.1340e-005,-7.0114e-005,-3.3152e-007,
+1.6901e-006,+0.0000e+000,-1.2422e-002,+2.5072e-003,+1.1205e-003,
-1.3034e-004,-2.3971e-005,-2.6622e-006,+5.7852e-007,+4.5847e-008,
+0.0000e+000,+4.4777e-002,-3.0421e-003,+2.6062e-005,-7.2421e-005,
+1.9119e-006,+3.9236e-007,+2.2390e-007,+2.9765e-009,-4.6452e-009
};
static double at_mean[55] = {
+1.6257e+001,+2.1224e+000,+9.2569e-001,-2.5974e+001,+1.4510e+000,
+9.2468e-002,-5.3192e-001,+2.1094e-001,-6.9210e-002,-3.4060e-002,
-4.6569e+000,+2.6385e-001,-3.6093e-002,+1.0198e-002,-1.8783e-003,
+7.4983e-001,+1.1741e-001,+3.9940e-002,+5.1348e-003,+5.9111e-003,
+8.6133e-006,+6.3057e-001,+1.5203e-001,+3.9702e-002,+4.6334e-003,
+2.4406e-004,+1.5189e-004,+1.9581e-007,+5.4414e-001,+3.5722e-001,
+5.2763e-002,+4.1147e-003,-2.7239e-004,-5.9957e-005,+1.6394e-006,
-7.3045e-007,-2.9394e+000,+5.5579e-002,+1.8852e-002,+3.4272e-003,
-2.3193e-005,-2.9349e-005,+3.6397e-007,+2.0490e-006,-6.4719e-008,
-5.2225e-001,+2.0799e-001,+1.3477e-003,+3.1613e-004,-2.2285e-004,
-1.8137e-005,-1.5177e-007,+6.1343e-007,+7.8566e-008,+1.0749e-009
};
static double bt_mean[55] = {
+0.0000e+000,+0.0000e+000,+1.0210e+000,+0.0000e+000,+6.0194e-001,
+1.2292e-001,+0.0000e+000,-4.2184e-001,+1.8230e-001,+4.2329e-002,
+0.0000e+000,+9.3312e-002,+9.5346e-002,-1.9724e-003,+5.8776e-003,
+0.0000e+000,-2.0940e-001,+3.4199e-002,-5.7672e-003,-2.1590e-003,
+5.6815e-004,+0.0000e+000,+2.2858e-001,+1.2283e-002,-9.3679e-003,
-1.4233e-003,-1.5962e-004,+4.0160e-005,+0.0000e+000,+3.6353e-002,
-9.4263e-004,-3.6762e-003,+5.8608e-005,-2.6391e-005,+3.2095e-006,
-1.1605e-006,+0.0000e+000,+1.6306e-001,+1.3293e-002,-1.1395e-003,
+5.1097e-005,+3.3977e-005,+7.6449e-006,-1.7602e-007,-7.6558e-008,
+0.0000e+000,-4.5415e-002,-1.8027e-002,+3.6561e-004,-1.1274e-004,
+1.3047e-005,+2.0001e-006,-1.5152e-007,-2.7807e-008,+7.7491e-009
};
static double at_amp[55] = {
-1.8654e+000,-9.0041e+000,-1.2974e-001,-3.6053e+000,+2.0284e-002,
+2.1872e-001,-1.3015e+000,+4.0355e-001,+2.2216e-001,-4.0605e-003,
+1.9623e+000,+4.2887e-001,+2.1437e-001,-1.0061e-002,-1.1368e-003,
-6.9235e-002,+5.6758e-001,+1.1917e-001,-7.0765e-003,+3.0017e-004,
+3.0601e-004,+1.6559e+000,+2.0722e-001,+6.0013e-002,+1.7023e-004,
-9.2424e-004,+1.1269e-005,-6.9911e-006,-2.0886e+000,-6.7879e-002,
-8.5922e-004,-1.6087e-003,-4.5549e-005,+3.3178e-005,-6.1715e-006,
-1.4446e-006,-3.7210e-001,+1.5775e-001,-1.7827e-003,-4.4396e-004,
+2.2844e-004,-1.1215e-005,-2.1120e-006,-9.6421e-007,-1.4170e-008,
+7.8720e-001,-4.4238e-002,-1.5120e-003,-9.4119e-004,+4.0645e-006,
-4.9253e-006,-1.8656e-006,-4.0736e-007,-4.9594e-008,+1.6134e-009
};
static double bt_amp[55] = {
+0.0000e+000,+0.0000e+000,-8.9895e-001,+0.0000e+000,-1.0790e+000,
-1.2699e-001,+0.0000e+000,-5.9033e-001,+3.4865e-002,-3.2614e-002,
+0.0000e+000,-2.4310e-002,+1.5607e-002,-2.9833e-002,-5.9048e-003,
+0.0000e+000,+2.8383e-001,+4.0509e-002,-1.8834e-002,-1.2654e-003,
-1.3794e-004,+0.0000e+000,+1.3306e-001,+3.4960e-002,-3.6799e-003,
-3.5626e-004,+1.4814e-004,+3.7932e-006,+0.0000e+000,+2.0801e-001,
+6.5640e-003,-3.4893e-003,-2.7395e-004,+7.4296e-005,-7.9927e-006,
-1.0277e-006,+0.0000e+000,+3.6515e-002,-7.4319e-003,-6.2873e-004,
-8.2461e-005,+3.1095e-005,-5.3860e-007,-1.2055e-007,-1.1517e-007,
+0.0000e+000,+3.1404e-002,+1.5580e-002,-1.1428e-003,+3.3529e-005,
+1.0387e-005,-1.9378e-006,-2.7327e-007,+7.5833e-009,-9.2323e-009
};
// sin(latitude)
sinlat = sin(dlat);
// degree n and order m
n = 9;
m = 9;
// determine n! (faktorielle) moved by 1
dfac[0] = 1.0;
for (i = 1; i <= 2*n+1; i++) {
dfac[i] = dfac[i-1]*i;
}
// determine Legendre functions (Heiskanen and Moritz, Physical Geodesy, 1967, eq. 1-62)
for (i = 0; i <= n; i++) {
im = M_MIN(i,m);
for (j = 0; j <= im; j++) {
ir = (i-j)/2;
sum1 = 0.0;
for (k = 0; k <= ir; k++) {
sum1 += ipow(-1,k)*dfac[2*i-2*k]/dfac[k]/dfac[i-k]/dfac[i-j-2*k]*qPow(sinlat,i-j-2*k);
}
// Legendre functions moved by 1
p[i][j] = 1.0/ipow(2,i)*M_SQRT(qPow(1.0-sinlat*sinlat,j))*sum1;
}
}
// calculate spherical harmonics
i = 0;
for (n = 0; n <= 9; n++) {
for (m = 0; m <= n; m++) {
i++;
ap[i-1] = p[n][m]*qCos(m*dlon);
bp[i-1] = p[n][m]*qSin(m*dlon);
}
}
// Geoidal height
*undu = 0.0;
for (i = 1; i <= 55; i++) {
*undu += (a_geoid[i-1]*ap[i-1]+b_geoid[i-1]*bp[i-1]);
}
// orthometric height
hort = dhgt-*undu;
// Surface pressure on the geoid
apm = 0.0;
apa = 0.0;
for (i = 1; i <= 55; i++) {
apm += (ap_mean[i-1]*ap[i-1]+bp_mean[i-1]*bp[i-1]);
apa += (ap_amp[i-1]*ap[i-1]+bp_amp[i-1]*bp[i-1]);
}
pres0 = apm+apa*qCos(doy/365.25*2.0*m_PI);
// height correction for pressure
*pres = pres0*qPow(1.0-0.0000226*hort,5.225);
// Surface temperature on the geoid
atm = 0.0;
ata = 0.0;
for (i = 1; i <= 55; i++) {
atm += (at_mean[i-1]*ap[i-1]+bt_mean[i-1]*bp[i-1]);
ata += (at_amp[i-1]*ap[i-1]+bt_amp[i-1]*bp[i-1]);
}
temp0 = atm+ata*qCos(doy/365.25*2.0*m_PI);
// height correction for pressure
*temp = temp0-0.0065*hort;
}
//Called by trop_gpt
int QTropDelay::ipow(int base,int exp)
{
int result = 1;
while (exp) {
if (exp & 1) result *= base;
exp >>= 1;
base *= base;
}
return result;
}
//Calculate Global Mapping Functions (GMF)
/*****************************************************************************
* Name : trop_map_gmf
*
* Description : Calcaulate the Global Mapping Functions (GMF)
*
* Parameters :
* Name |Da|Unit|Description
* double dmjd I N/A Modified julian date
* double dlat I rad Ellipsoidal latitude
* double dlon I rad Ellipsoidal longitude
* double dhgt I m Height
* double zd I rad Zenith distance
* double *gmfh O N/A Hydrostatic mapping function
* double *gmfw O N/A Wet mapping function
*
* Reference:
* Boehm, J., A.E. Niell, P. Tregoning, H. Schuh (2006),
* Global Mapping Functions (GMF): A new empirical mapping function based on numerical weather model data,
* Geoph. Res. Letters, Vol. 33, L07304, doi:10.1029/2005GL025545.
*
* Author: Feng Zhou
*
* Originally written by Feng Zhou on 14/12/2015 @ GFZ
*
*
* Section 1.1, GPS/Galileo technologies, GFZ German Research Centre for Geosciences
*
*****************************************************************************/
void QTropDelay::trop_map_gmf(double dmjd,double dlat,double dlon,double dhgt,double zd,double *gmfh,double *gmfw)
{
double doy,sinlat;
int i,j,k,n,m,im,ir;
double p[10][10],dfac[20],ap[55],bp[55];
double sum1,ah,bh,ch,aw,bw,cw,c0h,c10h,c11h,phh,ahm,aha,awm,awa,sine,beta,gamma,
a_ht,b_ht,c_ht,hs_km,topcon,ht_corr_coef,ht_corr;
// reference day is 28 January
// this is taken from Niell (1996) to be consistent
doy = dmjd-44239+1-28;
// initialized data
static double ah_mean[55] = {
+1.2517e+02, +8.503e-01, +6.936e-02, -6.760e+00, +1.771e-01,
+1.130e-02, +5.963e-01, +1.808e-02, +2.801e-03, -1.414e-03,
-1.212e+00, +9.300e-02, +3.683e-03, +1.095e-03, +4.671e-05,
+3.959e-01, -3.867e-02, +5.413e-03, -5.289e-04, +3.229e-04,
+2.067e-05, +3.000e-01, +2.031e-02, +5.900e-03, +4.573e-04,
-7.619e-05, +2.327e-06, +3.845e-06, +1.182e-01, +1.158e-02,
+5.445e-03, +6.219e-05, +4.204e-06, -2.093e-06, +1.540e-07,
-4.280e-08, -4.751e-01, -3.490e-02, +1.758e-03, +4.019e-04,
-2.799e-06, -1.287e-06, +5.468e-07, +7.580e-08, -6.300e-09,
-1.160e-01, +8.301e-03, +8.771e-04, +9.955e-05, -1.718e-06,
-2.012e-06, +1.170e-08, +1.790e-08, -1.300e-09, +1.000e-10
};
static double bh_mean[55] = {
+0.000e+00, +0.000e+00, +3.249e-02, +0.000e+00, +3.324e-02,
+1.850e-02, +0.000e+00, -1.115e-01, +2.519e-02, +4.923e-03,
+0.000e+00, +2.737e-02, +1.595e-02, -7.332e-04, +1.933e-04,
+0.000e+00, -4.796e-02, +6.381e-03, -1.599e-04, -3.685e-04,
+1.815e-05, +0.000e+00, +7.033e-02, +2.426e-03, -1.111e-03,
-1.357e-04, -7.828e-06, +2.547e-06, +0.000e+00, +5.779e-03,
+3.133e-03, -5.312e-04, -2.028e-05, +2.323e-07, -9.100e-08,
-1.650e-08, +0.000e+00, +3.688e-02, -8.638e-04, -8.514e-05,
-2.828e-05, +5.403e-07, +4.390e-07, +1.350e-08, +1.800e-09,
+0.000e+00, -2.736e-02, -2.977e-04, +8.113e-05, +2.329e-07,
+8.451e-07, +4.490e-08, -8.100e-09, -1.500e-09, +2.000e-10
};
static double ah_amp[55] = {
-2.738e-01, -2.837e+00, +1.298e-02, -3.588e-01, +2.413e-02,
+3.427e-02, -7.624e-01, +7.272e-02, +2.160e-02, -3.385e-03,
+4.424e-01, +3.722e-02, +2.195e-02, -1.503e-03, +2.426e-04,
+3.013e-01, +5.762e-02, +1.019e-02, -4.476e-04, +6.790e-05,
+3.227e-05, +3.123e-01, -3.535e-02, +4.840e-03, +3.025e-06,
-4.363e-05, +2.854e-07, -1.286e-06, -6.725e-01, -3.730e-02,
+8.964e-04, +1.399e-04, -3.990e-06, +7.431e-06, -2.796e-07,
-1.601e-07, +4.068e-02, -1.352e-02, +7.282e-04, +9.594e-05,
+2.070e-06, -9.620e-08, -2.742e-07, -6.370e-08, -6.300e-09,
+8.625e-02, -5.971e-03, +4.705e-04, +2.335e-05, +4.226e-06,
+2.475e-07, -8.850e-08, -3.600e-08, -2.900e-09, +0.000e+00
};
static double bh_amp[55] = {
+0.000e+00, +0.000e+00, -1.136e-01, +0.000e+00, -1.868e-01,
-1.399e-02, +0.000e+00, -1.043e-01, +1.175e-02, -2.240e-03,
+0.000e+00, -3.222e-02, +1.333e-02, -2.647e-03, -2.316e-05,
+0.000e+00, +5.339e-02, +1.107e-02, -3.116e-03, -1.079e-04,
-1.299e-05, +0.000e+00, +4.861e-03, +8.891e-03, -6.448e-04,
-1.279e-05, +6.358e-06, -1.417e-07, +0.000e+00, +3.041e-02,
+1.150e-03, -8.743e-04, -2.781e-05, +6.367e-07, -1.140e-08,
-4.200e-08, +0.000e+00, -2.982e-02, -3.000e-03, +1.394e-05,
-3.290e-05, -1.705e-07, +7.440e-08, +2.720e-08, -6.600e-09,
+0.000e+00, +1.236e-02, -9.981e-04, -3.792e-05, -1.355e-05,
+1.162e-06, -1.789e-07, +1.470e-08, -2.400e-09, -4.000e-10
};
static double aw_mean[55] = {
+5.640e+01, +1.555e+00, -1.011e+00, -3.975e+00, +3.171e-02,
+1.065e-01, +6.175e-01, +1.376e-01, +4.229e-02, +3.028e-03,
+1.688e+00, -1.692e-01, +5.478e-02, +2.473e-02, +6.059e-04,
+2.278e+00, +6.614e-03, -3.505e-04, -6.697e-03, +8.402e-04,
+7.033e-04, -3.236e+00, +2.184e-01, -4.611e-02, -1.613e-02,
-1.604e-03, +5.420e-05, +7.922e-05, -2.711e-01, -4.406e-01,
-3.376e-02, -2.801e-03, -4.090e-04, -2.056e-05, +6.894e-06,
+2.317e-06, +1.941e+00, -2.562e-01, +1.598e-02, +5.449e-03,
+3.544e-04, +1.148e-05, +7.503e-06, -5.667e-07, -3.660e-08,
+8.683e-01, -5.931e-02, -1.864e-03, -1.277e-04, +2.029e-04,
+1.269e-05, +1.629e-06, +9.660e-08, -1.015e-07, -5.000e-10
};
static double bw_mean[55] = {
+0.000e+00, +0.000e+00, +2.592e-01, +0.000e+00, +2.974e-02,
-5.471e-01, +0.000e+00, -5.926e-01, -1.030e-01, -1.567e-02,
+0.000e+00, +1.710e-01, +9.025e-02, +2.689e-02, +2.243e-03,
+0.000e+00, +3.439e-01, +2.402e-02, +5.410e-03, +1.601e-03,
+9.669e-05, +0.000e+00, +9.502e-02, -3.063e-02, -1.055e-03,
-1.067e-04, -1.130e-04, +2.124e-05, +0.000e+00, -3.129e-01,
+8.463e-03, +2.253e-04, +7.413e-05, -9.376e-05, -1.606e-06,
+2.060e-06, +0.000e+00, +2.739e-01, +1.167e-03, -2.246e-05,
-1.287e-04, -2.438e-05, -7.561e-07, +1.158e-06, +4.950e-08,
+0.000e+00, -1.344e-01, +5.342e-03, +3.775e-04, -6.756e-05,
-1.686e-06, -1.184e-06, +2.768e-07, +2.730e-08, +5.700e-09
};
static double aw_amp[55] = {
+1.023e-01, -2.695e+00, +3.417e-01, -1.405e-01, +3.175e-01,
+2.116e-01, +3.536e+00, -1.505e-01, -1.660e-02, +2.967e-02,
+3.819e-01, -1.695e-01, -7.444e-02, +7.409e-03, -6.262e-03,
-1.836e+00, -1.759e-02, -6.256e-02, -2.371e-03, +7.947e-04,
+1.501e-04, -8.603e-01, -1.360e-01, -3.629e-02, -3.706e-03,
-2.976e-04, +1.857e-05, +3.021e-05, +2.248e+00, -1.178e-01,
+1.255e-02, +1.134e-03, -2.161e-04, -5.817e-06, +8.836e-07,
-1.769e-07, +7.313e-01, -1.188e-01, +1.145e-02, +1.011e-03,
+1.083e-04, +2.570e-06, -2.140e-06, -5.710e-08, +2.000e-08,
-1.632e+00, -6.948e-03, -3.893e-03, +8.592e-04, +7.577e-05,
+4.539e-06, -3.852e-07, -2.213e-07, -1.370e-08, +5.800e-09
};
static double bw_amp[55] = {
+0.000e+00, +0.000e+00, -8.865e-02, +0.000e+00, -4.309e-01,
+6.340e-02, +0.000e+00, +1.162e-01, +6.176e-02, -4.234e-03,
+0.000e+00, +2.530e-01, +4.017e-02, -6.204e-03, +4.977e-03,
+0.000e+00, -1.737e-01, -5.638e-03, +1.488e-04, +4.857e-04,
-1.809e-04, +0.000e+00, -1.514e-01, -1.685e-02, +5.333e-03,
-7.611e-05, +2.394e-05, +8.195e-06, +0.000e+00, +9.326e-02,
-1.275e-02, -3.071e-04, +5.374e-05, -3.391e-05, -7.436e-06,
+6.747e-07, +0.000e+00, -8.637e-02, -3.807e-03, -6.833e-04,
-3.861e-05, -2.268e-05, +1.454e-06, +3.860e-07, -1.068e-07,