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TMProjection.cpp
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// TMProjection.cpp: implementation of the CTMProjection class.
//
//////////////////////////////////////////////////////////////////////
#include "TMProjection.h"
//////////////////////////////////////////////////////////////////////
// Construction/Destruction
//////////////////////////////////////////////////////////////////////
CTMProjection::CTMProjection()
{
}
CTMProjection::~CTMProjection()
{
}
HRESULT CTMProjection::SetProjectionPara(double Origin_Lon,
double Origin_Lat,
double False_Easting,
double False_Northing,
double ScaleFactor)
{
double dummy_northing;
m_tmOrigin_Lat = 0;
m_tmOrigin_Long = 0;
m_tmFalse_Northing = 0;
m_tmFalse_Easting = 0;
m_tmScale_Factor = 1;
Geodetic2TM(MAX_LAT,
MAX_DELTA_LONG,
&m_tmDelta_Easting,
&m_tmDelta_Northing);
Geodetic2TM(0,
MAX_DELTA_LONG,
&m_tmDelta_Easting,
&dummy_northing);
if (Origin_Lon > PI)
Origin_Lon -= (2*PI);
m_tmOrigin_Lat = Origin_Lat;
m_tmOrigin_Long = Origin_Lon;
m_tmFalse_Northing = False_Northing;
m_tmFalse_Easting = False_Easting;
m_tmScale_Factor = ScaleFactor;
return S_OK;
}
HRESULT CTMProjection::SetDatumPara(double a, double b)
{
double a2,b2;
double tn,tn2,tn3,tn4,tn5;
if( a<=0 || b<=0 || a<b )return FALSE;
m_lfTM_a = a;
m_lfTM_b = b;
/* Eccentricity Squared */
a2 = a * a;
b2 = b * b;
m_lfTM_es = (a2 - b2) / a2;
/* Second Eccentricity Squared */
m_lfTM_ebs = (a2 - b2) / b2;
/*True meridional constants */
tn = (a - b) / (a + b);
tn2 = tn * tn;
tn3 = tn2 * tn;
tn4 = tn3 * tn;
tn5 = tn4 * tn;
m_lfTM_ap = a * (1.e0 - tn + 5.e0 * (tn2 - tn3)/4.e0
+ 81.e0 * (tn4 - tn5)/64.e0 );
m_lfTM_bp = 3.e0 * a * (tn - tn2 + 7.e0 * (tn3 - tn4)
/8.e0 + 55.e0 * tn5/64.e0 )/2.e0;
m_lfTM_cp = 15.e0 * a * (tn2 - tn3 + 3.e0 * (tn4 - tn5 )/4.e0) /16.0;
m_lfTM_dp = 35.e0 * a * (tn3 - tn4 + 11.e0 * tn5 / 16.e0) / 48.e0;
m_lfTM_ep = 315.e0 * a * (tn4 - tn5) / 512.e0;
return S_OK;
}
/*
* The function Convert_Geodetic_To_Transverse_Mercator converts geodetic
* (latitude and longitude) coordinates to Transverse Mercator projection
* (easting and northing) coordinates, according to the current ellipsoid
* and Transverse Mercator projection coordinates. If any errors occur, the
* error code(s) are returned by the function, otherwise TRANMERC_NO_ERROR is
* returned.
*
* Latitude : Latitude in radians (input)
* Longitude : Longitude in radians (input)
* Easting : Easting/X in meters (output)
* Northing : Northing/Y in meters (output)
*/
HRESULT CTMProjection::Geodetic2TM(double Latitude, double Longitude, double *Easting, double *Northing)
{
/* BEGIN Convert_Geodetic_To_Transverse_Mercator */
/*
* The function Convert_Geodetic_To_Transverse_Mercator converts geodetic
* (latitude and longitude) coordinates to Transverse Mercator projection
* (easting and northing) coordinates, according to the current ellipsoid
* and Transverse Mercator projection coordinates. If any errors occur, the
* error code(s) are returned by the function, otherwise TRANMERC_NO_ERROR is
* returned.
*
* Latitude : Latitude in radians (input)
* Longitude : Longitude in radians (input)
* Easting : Easting/X in meters (output)
* Northing : Northing/Y in meters (output)
* index : index of datum,0 for primary,other for second (input)
*/
double c; /* Cosine of latitude */
double c2;
double c3;
double c5;
double c7;
double dlam; /* Delta longitude - Difference in Longitude */
double eta; /* constant - m_lfTM_ebs *c *c */
double eta2;
double eta3;
double eta4;
double s; /* Sine of latitude */
double sn; /* Radius of curvature in the prime vertical */
double t; /* Tangent of latitude */
double tan2;
double tan3;
double tan4;
double tan5;
double tan6;
double t1; /* Term in coordinate conversion formula - GP to Y */
double t2; /* Term in coordinate conversion formula - GP to Y */
double t3; /* Term in coordinate conversion formula - GP to Y */
double t4; /* Term in coordinate conversion formula - GP to Y */
double t5; /* Term in coordinate conversion formula - GP to Y */
double t6; /* Term in coordinate conversion formula - GP to Y */
double t7; /* Term in coordinate conversion formula - GP to Y */
double t8; /* Term in coordinate conversion formula - GP to Y */
double t9; /* Term in coordinate conversion formula - GP to Y */
double tmd; /* True Meridional distance */
double tmdo; /* True Meridional distance for latitude of origin */
long Error_Code = TRANMERC_NO_ERROR;
double temp_Origin;
double temp_Long;
if ((Latitude < -MAX_LAT) || (Latitude > MAX_LAT))
{ /* Latitude out of range */
Error_Code|= TRANMERC_LAT_ERROR;
}
if (Longitude > PI)
Longitude -= (2 * PI);
if ((Longitude < (m_tmOrigin_Long - MAX_DELTA_LONG))
|| (Longitude > (m_tmOrigin_Long + MAX_DELTA_LONG)))
{
if (Longitude < 0)
temp_Long = Longitude + 2 * PI;
else
temp_Long = Longitude;
if (m_tmOrigin_Long < 0)
temp_Origin = m_tmOrigin_Long + 2 * PI;
else
temp_Origin = m_tmOrigin_Long;
if ((temp_Long < (temp_Origin - MAX_DELTA_LONG))
|| (temp_Long > (temp_Origin + MAX_DELTA_LONG)))
Error_Code|= TRANMERC_LON_ERROR;
}
if (!Error_Code)
{ /* no errors */
/*
* Delta Longitude
*/
dlam = Longitude - m_tmOrigin_Long;
if (fabs(dlam) > (9.0 * PI / 180))
{ /* Distortion will result if Longitude is more than 9 degrees from the Central Meridian */
Error_Code |= TRANMERC_LON_WARNING;
}
if (dlam > PI)
dlam -= (2 * PI);
if (dlam < -PI)
dlam += (2 * PI);
if (fabs(dlam) < 2.e-10)
dlam = 0.0;
s = sin(Latitude);
c = cos(Latitude);
c2 = c * c;
c3 = c2 * c;
c5 = c3 * c2;
c7 = c5 * c2;
t = tan (Latitude);
tan2 = t * t;
tan3 = tan2 * t;
tan4 = tan3 * t;
tan5 = tan4 * t;
tan6 = tan5 * t;
eta = m_lfTM_ebs * c2;
eta2 = eta * eta;
eta3 = eta2 * eta;
eta4 = eta3 * eta;
/* radius of curvature in prime vertical */
sn = SPHSN(Latitude);
/* True Meridonal Distances */
tmd = SPHTMD(Latitude);
/* Origin */
tmdo = SPHTMD (m_tmOrigin_Lat);
/* northing */
t1 = (tmd - tmdo) * m_tmScale_Factor;
t2 = sn * s * c * m_tmScale_Factor/ 2.e0;
t3 = sn * s * c3 * m_tmScale_Factor * (5.e0 - tan2 + 9.e0 * eta
+ 4.e0 * eta2) /24.e0;
t4 = sn * s * c5 * m_tmScale_Factor * (61.e0 - 58.e0 * tan2
+ tan4 + 270.e0 * eta - 330.e0 * tan2 * eta + 445.e0 * eta2
+ 324.e0 * eta3 -680.e0 * tan2 * eta2 + 88.e0 * eta4
-600.e0 * tan2 * eta3 - 192.e0 * tan2 * eta4) / 720.e0;
t5 = sn * s * c7 * m_tmScale_Factor * (1385.e0 - 3111.e0 *
tan2 + 543.e0 * tan4 - tan6) / 40320.e0;
*Northing = m_tmFalse_Northing + t1 + pow(dlam,2.e0) * t2
+ pow(dlam,4.e0) * t3 + pow(dlam,6.e0) * t4
+ pow(dlam,8.e0) * t5;
/* Easting */
t6 = sn * c * m_tmScale_Factor;
t7 = sn * c3 * m_tmScale_Factor * (1.e0 - tan2 + eta ) /6.e0;
t8 = sn * c5 * m_tmScale_Factor * (5.e0 - 18.e0 * tan2 + tan4
+ 14.e0 * eta - 58.e0 * tan2 * eta + 13.e0 * eta2 + 4.e0 * eta3
- 64.e0 * tan2 * eta2 - 24.e0 * tan2 * eta3 )/ 120.e0;
t9 = sn * c7 * m_tmScale_Factor * ( 61.e0 - 479.e0 * tan2
+ 179.e0 * tan4 - tan6 ) /5040.e0;
*Easting = m_tmFalse_Easting + dlam * t6 + pow(dlam,3.e0) * t7
+ pow(dlam,5.e0) * t8 + pow(dlam,7.e0) * t9;
}
return Error_Code==UTM_NO_ERROR?S_OK:S_FALSE;
}
HRESULT CTMProjection::TM2Geodetic(double Easting, double Northing, double *Latitude, double *Longitude)
{
/* BEGIN Convert_Transverse_Mercator_To_Geodetic */
/*
* The function Convert_Transverse_Mercator_To_Geodetic converts Transverse
* Mercator projection (easting and northing) coordinates to geodetic
* (latitude and longitude) coordinates, according to the current ellipsoid
* and Transverse Mercator projection parameters. If any errors occur, the
* error code(s) are returned by the function, otherwise TRANMERC_NO_ERROR is
* returned.
*
* Easting : Easting/X in meters (input)
* Northing : Northing/Y in meters (input)
* Latitude : Latitude in radians (output)
* Longitude : Longitude in radians (output)
*/
double c; /* Cosine of latitude */
double de; /* Delta easting - Difference in Easting (Easting-Fe) */
double dlam; /* Delta longitude - Difference in Longitude */
double eta; /* constant - m_lfTM_ebs *c *c */
double eta2;
double eta3;
double eta4;
double ftphi; /* Footpoint latitude */
int i; /* Loop iterator */
double s; /* Sine of latitude */
double sn; /* Radius of curvature in the prime vertical */
double sr; /* Radius of curvature in the meridian */
double t; /* Tangent of latitude */
double tan2;
double tan4;
double t10; /* Term in coordinate conversion formula - GP to Y */
double t11; /* Term in coordinate conversion formula - GP to Y */
double t12; /* Term in coordinate conversion formula - GP to Y */
double t13; /* Term in coordinate conversion formula - GP to Y */
double t14; /* Term in coordinate conversion formula - GP to Y */
double t15; /* Term in coordinate conversion formula - GP to Y */
double t16; /* Term in coordinate conversion formula - GP to Y */
double t17; /* Term in coordinate conversion formula - GP to Y */
double tmd; /* True Meridional distance */
double tmdo; /* True Meridional distance for latitude of origin */
long Error_Code = TRANMERC_NO_ERROR;
if ((Easting < (m_tmFalse_Easting - m_tmDelta_Easting))
||(Easting > (m_tmFalse_Easting + m_tmDelta_Easting)))
{ /* Easting out of range */
Error_Code |= TRANMERC_EASTING_ERROR;
}
if ((Northing < (m_tmFalse_Northing - m_tmDelta_Northing))
|| (Northing > (m_tmFalse_Northing + m_tmDelta_Northing)))
{ /* Northing out of range */
Error_Code |= TRANMERC_NORTHING_ERROR;
}
if (!Error_Code)
{
/* True Meridional Distances for latitude of origin */
tmdo = SPHTMD(m_tmOrigin_Lat);
/* Origin */
tmd = tmdo + (Northing - m_tmFalse_Northing) / m_tmScale_Factor;
/* First Estimate */
sr = SPHSR(0.e0);
ftphi = tmd/sr;
for (i = 0; i < 5 ; i++)
{
t10 = SPHTMD (ftphi);
sr = SPHSR(ftphi);
ftphi = ftphi + (tmd - t10) / sr;
}
/* Radius of Curvature in the meridian */
sr = SPHSR(ftphi);
/* Radius of Curvature in the meridian */
sn = SPHSN(ftphi);
/* Sine Cosine terms */
s = sin(ftphi);
c = cos(ftphi);
/* Tangent Value */
t = tan(ftphi);
tan2 = t * t;
tan4 = tan2 * tan2;
eta = m_lfTM_ebs * pow(c,2);
eta2 = eta * eta;
eta3 = eta2 * eta;
eta4 = eta3 * eta;
de = Easting - m_tmFalse_Easting;
if (fabs(de) < 0.0001)
de = 0.0;
/* Latitude */
t10 = t / (2.e0 * sr * sn * pow(m_tmScale_Factor, 2));
t11 = t * (5.e0 + 3.e0 * tan2 + eta - 4.e0 * pow(eta,2)
- 9.e0 * tan2 * eta) / (24.e0 * sr * pow(sn,3)
* pow(m_tmScale_Factor,4));
t12 = t * (61.e0 + 90.e0 * tan2 + 46.e0 * eta + 45.E0 * tan4
- 252.e0 * tan2 * eta - 3.e0 * eta2 + 100.e0
* eta3 - 66.e0 * tan2 * eta2 - 90.e0 * tan4
* eta + 88.e0 * eta4 + 225.e0 * tan4 * eta2
+ 84.e0 * tan2* eta3 - 192.e0 * tan2 * eta4)
/ ( 720.e0 * sr * pow(sn,5) * pow(m_tmScale_Factor, 6) );
t13 = t * ( 1385.e0 + 3633.e0 * tan2 + 4095.e0 * tan4 + 1575.e0
* pow(t,6))/ (40320.e0 * sr * pow(sn,7) * pow(m_tmScale_Factor,8));
*Latitude = ftphi - pow(de,2) * t10 + pow(de,4) * t11 - pow(de,6) * t12
+ pow(de,8) * t13;
t14 = 1.e0 / (sn * c * m_tmScale_Factor);
t15 = (1.e0 + 2.e0 * tan2 + eta) / (6.e0 * pow(sn,3) * c *
pow(m_tmScale_Factor,3));
t16 = (5.e0 + 6.e0 * eta + 28.e0 * tan2 - 3.e0 * eta2
+ 8.e0 * tan2 * eta + 24.e0 * tan4 - 4.e0
* eta3 + 4.e0 * tan2 * eta2 + 24.e0
* tan2 * eta3) / (120.e0 * pow(sn,5) * c
* pow(m_tmScale_Factor,5));
t17 = (61.e0 + 662.e0 * tan2 + 1320.e0 * tan4 + 720.e0
* pow(t,6)) / (5040.e0 * pow(sn,7) * c
* pow(m_tmScale_Factor,7));
/* Difference in Longitude */
dlam = de * t14 - pow(de,3) * t15 + pow(de,5) * t16 - pow(de,7) * t17;
/* Longitude */
(*Longitude) = m_tmOrigin_Long + dlam;
while (*Latitude > (90.0 * PI / 180.0))
{
*Latitude = PI - *Latitude;
*Longitude += PI;
if (*Longitude > PI)
*Longitude -= (2 * PI);
}
while (*Latitude < (-90.0 * PI / 180.0))
{
*Latitude = - (*Latitude + PI);
*Longitude += PI;
if (*Longitude > PI)
*Longitude -= (2 * PI);
}
if (*Longitude > (2*PI))
*Longitude -= (2 * PI);
if (*Longitude < -PI)
*Longitude += (2 * PI);
if (fabs(dlam) > (9.0 * PI / 180))
{ /* Distortion will result if Longitude is more than 9 degrees from the Central Meridian */
Error_Code |= TRANMERC_LON_WARNING;
}
}
return Error_Code==UTM_NO_ERROR?S_OK:S_FALSE;
}