/* Initialize the General Vertical Near-Side Perspective projection
---------------------------------------------------------------*/
long gvnspforint
(
double r, /* (I) Radius of the earth (sphere) */
double h, /* height above sphere */
double center_long, /* (I) Center longitude */
double center_lat, /* (I) Center latitude */
double false_east, /* x offset in meters */
double false_north /* y offset in meters */
)
{
/* Place parameters in static storage for common use
-------------------------------------------------*/
R = r;
p = 1.0 + h / R;
lon_center = center_long;
false_easting = false_east;
false_northing = false_north;
gctp_sincos(center_lat, &sin_p15, &cos_p15);
/* Report parameters to the user
-----------------------------*/
ptitle("GENERAL VERTICAL NEAR-SIDE PERSPECTIVE");
radius(r);
genrpt(h,"Height of Point Above Surface of Sphere: ");
cenlon(center_long);
cenlat(center_lat);
offsetp(false_easting,false_northing);
return(GCTP_OK);
}
long obleqforint
(
double r,
double center_long,
double center_lat,
double shape_m,
double shape_n,
double angle,
double false_east,
double false_north
)
{
/* Place parameters in static storage for common use
-------------------------------------------------*/
R = r;
lon_center = center_long;
lat_o = center_lat;
m = shape_m;
n = shape_n;
theta = angle;
false_easting = false_east;
false_northing = false_north;
/* Report parameters to the user (to device set up prior to this call)
-------------------------------------------------------------------*/
ptitle("OBLATED EQUAL-AREA");
radius(R);
cenlon(lon_center);
cenlat(lat_o);
genrpt(m,"Parameter m: ");
genrpt(n,"Parameter n: ");
genrpt(theta,"Theta: ");
offsetp(false_easting,false_northing);
/* Calculate the sine and cosine of the latitude of the center of the map
and store in static storage for common use.
-------------------------------------------*/
gctp_sincos(lat_o, &sin_lat_o, &cos_lat_o);
return(GCTP_OK);
}
// Initialize the Universal Transverse Mercator (UTM) projection
long Projectoid::utmforint(
double r_maj, // major axis
double r_min, // minor axis
double scale_fact, // scale factor
long zone) // zone number
{
double temp; // temporary variable
if ((abs(zone) < 1) || (abs(zone) > 60))
{
p_error("Illegal zone number", "utm-forint");
return(11);
}
r_major = r_maj;
r_minor = r_min;
scale_factor = scale_fact;
lat_origin = 0.0;
lon_center = ((6 * abs(zone)) - 183) * D2R;
false_easting = 500000.0;
false_northing = (zone < 0) ? 10000000.0 : 0.0;
temp = r_minor / r_major;
es = 1.0 - SQUARE(temp);
e = sqrt(es);
e0 = e0fn(es);
e1 = e1fn(es);
e2 = e2fn(es);
e3 = e3fn(es);
ml0 = r_major * mlfn(e0, e1, e2, e3, lat_origin);
esp = es / (1.0 - es);
if (es < .00001)
ind = 1;
// Report parameters to the user
ptitle("UNIVERSAL TRANSVERSE MERCATOR (UTM)");
genrpt_long(zone, "Zone: ");
radius2(r_major, r_minor);
genrpt(scale_factor, "Scale Factor at C. Meridian: ");
cenlonmer(lon_center);
ForwardOK[WCS_PROJECTIONCODE_UTM] = 1;
ForwardTransform = &Projectoid::utmfor;
return(OK);
}
/* Initialize the Universal Transverse Mercator (UTM) projection
-------------------------------------------------------------*/
long utmforint
(
double r_maj, /* major axis */
double r_min, /* minor axis */
double scale_fact, /* scale factor */
long zone /* zone number */
)
{
double temp; /* temporary variable */
if ((abs(zone) < 1) || (abs(zone) > 60))
{
p_error("Illegal zone number","utm-forint");
return(11);
}
r_major = r_maj;
r_minor = r_min;
scale_factor = scale_fact;
lat_origin = 0.0;
lon_center = ((6 * abs(zone)) - 183) * D2R;
false_easting = 500000.0;
false_northing = (zone < 0) ? 10000000.0 : 0.0;
temp = r_minor / r_major;
es = 1.0 - SQUARE(temp);
e0 = e0fn(es);
e1 = e1fn(es);
e2 = e2fn(es);
e3 = e3fn(es);
ml0 = r_major * mlfn(e0, e1, e2, e3, lat_origin);
esp = es / (1.0 - es);
if (es < .00001)
ind = 1;
/* Report parameters to the user
-----------------------------*/
ptitle("UNIVERSAL TRANSVERSE MERCATOR (UTM)");
genrpt_long(zone, "Zone: ");
radius2(r_major, r_minor);
genrpt(scale_factor,"Scale Factor at C. Meridian: ");
cenlonmer(lon_center);
return(GCTP_OK);
}
long somforint( double r_major, double r_minor, long satnum, long path, double alf_in, double lon, double false_east,
double false_north, double time, long start1, long flag)
/*double r_major; major axis
double r_minor; minor axis
long satnum; Landsat satellite number (1,2,3,4,5)
long path; Landsat path number
double alf_in;
double lon;
double false_east; x offset in meters
double false_north; y offset in meters
double time;
long start1;
long flag; */
{
long i;
double alf,e2c,e2s,one_es;
double dlam,fb,fa2,fa4,fc1,fc3,suma2,suma4,sumc1,sumc3,sumb;
/* Place parameters in static storage for common use
-------------------------------------------------*/
false_easting = false_east;
false_northing = false_north;
a = r_major;
b = r_minor;
es = 1.0 - SQUARE(r_minor/r_major);
if (flag != 0)
{
alf = alf_in;
p21 = time / 1440.0;
lon_center = lon;
start = start1;
}
else
{
if (satnum < 4)
{
alf = 99.092 * D2R;
p21=103.2669323/1440.0;
lon_center = (128.87 - (360.0/251.0 * path)) * D2R;
}
else
{
alf = 98.2 * D2R;
p21=98.8841202/1440.0;
lon_center = (129.30 - (360.0/233.0 * path)) * D2R;
/*
lon_center = (-129.30557714 - (360.0/233.0 * path)) * D2R;
*/
}
start=0.0;
}
/* Report parameters to the user (to device set up prior to this call)
-------------------------------------------------------------------*/
ptitle("SPACE OBLIQUE MERCATOR");
radius2(a,b);
if (flag == 0)
{
genrpt_long(path, "Path Number: ");
genrpt_long(satnum, "Satellite Number: ");
}
genrpt(alf*R2D, "Inclination of Orbit: ");
genrpt(lon_center*R2D,"Longitude of Ascending Orbit: ");
offsetp(false_easting,false_northing);
genrpt(LANDSAT_RATIO, "Landsat Ratio: ");
ca=cos(alf);
if (fabs(ca)<1.e-9) ca=1.e-9;
sa=sin(alf);
e2c=es*ca*ca;
e2s=es*sa*sa;
w=(1.0-e2c)/(1.0-es);
w=w*w-1.0;
one_es=1.0-es;
q = e2s / one_es;
t = (e2s*(2.0-es)) / (one_es*one_es);
u= e2c / one_es;
xj = one_es*one_es*one_es;
dlam=0.0;
som_series(&fb,&fa2,&fa4,&fc1,&fc3,&dlam);
suma2=fa2;
suma4=fa4;
sumb=fb;
sumc1=fc1;
sumc3=fc3;
for(i=9;i<=81;i+=18)
{
dlam=i;
som_series(&fb,&fa2,&fa4,&fc1,&fc3,&dlam);
suma2=suma2+4.0*fa2;
suma4=suma4+4.0*fa4;
sumb=sumb+4.0*fb;
sumc1=sumc1+4.0*fc1;
sumc3=sumc3+4.0*fc3;
}
for(i=18; i<=72; i+=18)
{
dlam=i;
som_series(&fb,&fa2,&fa4,&fc1,&fc3,&dlam);
suma2=suma2+2.0*fa2;
suma4=suma4+2.0*fa4;
sumb=sumb+2.0*fb;
sumc1=sumc1+2.0*fc1;
sumc3=sumc3+2.0*fc3;
}
dlam=90.0;
som_series(&fb,&fa2,&fa4,&fc1,&fc3,&dlam);
suma2=suma2+fa2;
suma4=suma4+fa4;
sumb=sumb+fb;
sumc1=sumc1+fc1;
sumc3=sumc3+fc3;
a2=suma2/30.0;
a4=suma4/60.0;
b=sumb/30.0;
c1=sumc1/15.0;
c3=sumc3/45.0;
return(OK);
}
/*
!C******************************************************************************
!Description: Isin_for_init (initialize mapping) initializes the integerized
sinusoidal transformations by calculating constants and a short-cut
lookup table.
!Input Parameters:
sphere sphere radius (user's units)
lon_cen_mer longitude of central meridian (radians)
false_east easting at projection origin (user's units)
false_north northing at projection origin (user's units)
nrow number of rows (longitudinal zones)
ijustify justify flag; flag to indicate what to do with rows with an
odd number of columns;
0 = indicates the extra column is on the right
of the projection y axis;
1 = indicates the extra column is on the left
of the projection y axis;
2 = calculate an even number of columns
!Output Parameters:
(returns) a handle for this instance of the integerized sinusoidal
projection or NULL for error
!Team Unique Header:
! Usage Notes:
1. The sphere radius must not be smaller than 'EPS_SPHERE'.
2. The longitude must be in the range [-'TWO_PI' to 'TWO_PI'].
3. The number of rows must be a multiple of two and no more than 'NROW_MAX'.
!END****************************************************************************
*/
Isin_t *Isin_for_init
(
double sphere,
double lon_cen_mer,
double false_east,
double false_north,
long nrow,
int ijustify
)
{
Isin_t *this; /* 'isin' data structure */
Isin_row_t *row; /* current row data structure */
long irow; /* row (zone) index */
double clat; /* central latitude of the row */
long ncol_cen; /* number of columns in the central row of the grid
(at the equator) */
#ifdef CHECK_EDGE
double dcol; /* delta column (normalized by number of columns) */
double dcol_min, /* minimum delta column */
double log2_dcol_min; /* log base 2 of minimum delta column */
dcol_min = 1.0;
#endif
/* Check input parameters */
if ( sphere < EPS_SPHERE )
{
Isin_error( &ISIN_BADPARAM, "Isin_for_init" );
return NULL;
}
if ( lon_cen_mer < -TWO_PI || lon_cen_mer > TWO_PI )
{
Isin_error( &ISIN_BADPARAM, "Isin_for_init" );
return NULL;
}
if ( lon_cen_mer < PI )
lon_cen_mer += TWO_PI;
if ( lon_cen_mer >= PI )
lon_cen_mer -= TWO_PI;
if ( nrow < 2 || nrow > NROW_MAX )
{
Isin_error( &ISIN_BADPARAM, "Isin_for_init" );
return NULL;
}
if ( ( nrow % 2 ) != 0 )
{
Isin_error( &ISIN_BADPARAM, "Isin_for_init" );
return NULL;
}
if ( ijustify < 0 || ijustify > 2 )
{
Isin_error( &ISIN_BADPARAM, "Isin_for_init" );
return NULL;
}
/* Allocate 'isin' data structure */
this = ( Isin_t * ) malloc( sizeof( Isin_t ) );
if ( this == NULL )
{
Isin_error( &ISIN_BADALLOC, "Isin_for_init" );
return NULL;
}
/* Place parameters in static storage for common use
-------------------------------------------------
R = sphere;
lon_center = lon_cen_mer;
false_easting = false_east;
false_northing = false_north;
zone = nrow;
justify = ijustify;
*/
/* Report parameters to the user
-----------------------------*/
ptitle("INTEGERIZED SINUSOIDAL");
radius(sphere);
cenlon(lon_cen_mer);
offsetp(false_east,false_north);
genrpt_long(nrow, "Number of Latitudinal Zones: ");
genrpt(ijustify, "Right Justify Columns Flag: ");
/* Initialize data structure */
this->key = 0;
this->false_east = false_east;
this->false_north = false_north;
this->sphere = sphere;
this->sphere_inv = 1.0 / sphere;
this->ang_size_inv = ( ( double ) nrow ) / PI;
this->nrow = nrow;
this->nrow_half = nrow / 2;
this->lon_cen_mer = lon_cen_mer;
this->ref_lon = lon_cen_mer - PI;
if ( this->ref_lon < -PI )
this->ref_lon += TWO_PI;
this->ijustify = ijustify;
/* Allocate space for information about each row */
this->row = (Isin_row_t *)malloc(this->nrow_half * sizeof(Isin_row_t));
if ( this->row == NULL )
{
free( this );
Isin_error( &ISIN_BADALLOC, "Isin_for_init" );
return NULL;
}
/* Do calculations for each row; calculations are only done for half
* the rows because of the symmetry between the rows above the
* equator and the ones below */
row = this->row;
for ( irow = 0; irow < this->nrow_half; irow++, row++ )
{
/* Calculate latitude at center of row */
clat = HALF_PI * ( 1.0 - ( ( double ) irow + 0.5 ) / this->nrow_half );
/* Calculate number of columns per row */
if ( ijustify < 2 )
row->ncol = (long)((2.0 * cos(clat) * nrow) + 0.5);
else
{
/* make the number of columns even */
row->ncol = (long)((cos(clat) * nrow) + 0.5);
row->ncol *= 2;
}
#ifdef CHECK_EDGE
/* Check to be sure the are no less then three columns per row and that
* there are exactly three columns at the poles */
if ( ijustify < 2 )
{
if ( row->ncol < 3 || ( irow == 0 && row->ncol != 3 ) )
printf( " irow = %d ncol = %d\n", irow, row->ncol );
}
else
{
if ( row->ncol < 6 || ( irow == 0 && row->ncol != 6 ) )
printf( " irow = %d ncol = %d\n", irow, row->ncol );
}
#endif
/* Must have at least one column */
if ( row->ncol < 1 )
row->ncol = 1;
#ifdef CHECK_EDGE
/* Calculate the minimum delta column (normalized by the number of
* columns in the row) */
if ( ijustify < 2 )
dcol = fabs( ( 2.0 * cos( clat ) * nrow ) + 0.5 - row->ncol );
else
dcol = 2.0 * fabs((cos(clat) * nrow) + 0.5 - (row->ncol/2));
dcol = dcol / row->ncol;
if ( dcol < dcol_min )
dcol_min = dcol;
if ( ijustify < 2 )
{
dcol = fabs((2.0 * cos(clat) * nrow) + 0.5 - (row->ncol + 1));
dcol = dcol / ( row->ncol + 1 );
}
else
{
dcol = 2.0 * fabs((cos(clat) * nrow) + 0.5 - ((row->ncol/2) + 1));
dcol = dcol / ( row->ncol + 2 );
}
if ( dcol < dcol_min )
dcol_min = dcol;
#endif
/* Save the inverse of the number of columns */
row->ncol_inv = 1.0 / ( ( double ) row->ncol );
/* Calculate the column number of the column whose left edge touches
the central meridian */
if ( ijustify == 1 )
row->icol_cen = ( row->ncol + 1 ) / 2;
else
row->icol_cen = row->ncol / 2;
} /* for (irow... */
/* Get the number of columns at the equator */
ncol_cen = this->row[this->nrow_half - 1].ncol;
#ifdef CHECK_EDGE
/* Print the minimum delta column and its base 2 log */
log2_dcol_min = log( dcol_min ) / log( 2.0 );
printf( " dcol_min = %g log2_dcol_min = %g\n", dcol_min, log2_dcol_min );
/* Check to be sure the number of columns at the equator is twice the
* number of rows */
if ( ncol_cen != nrow * 2 )
printf( " ncol_cen = %d nrow = %d\n", ncol_cen, nrow );
#endif
/* Calculate the distance at the equator between
* the centers of two columns (and the inverse) */
this->col_dist = ( TWO_PI * sphere ) / ncol_cen;
this->col_dist_inv = ncol_cen / ( TWO_PI * sphere );
/* Give the data structure a valid key */
this->key = ISIN_KEY;
/* All done */
return this;
}
