/* Initialize the Mercator projection -----------------------------------*/ int merinvint( double r_maj, /* major axis */ double r_min, /* minor axis */ double center_lon, /* center longitude */ double center_lat, /* center latitude */ double false_east, /* x offset in meters */ double false_north) /* y offset in meters */ { double temp; /* temporary variable */ double e0fn(),e1fn(),e2fn(),e3fn(); /* functions */ /* Place parameters in static storage for common use -------------------------------------------------*/ r_major = r_maj; r_minor = r_min; lon_center = center_lon; lat_origin = center_lat; false_northing = false_north; false_easting = false_east; temp = r_minor / r_major; es = 1.0 - SQUARE(temp); e = sqrt(es); m1 = cos(center_lat)/(sqrt(1.0 - es * sin(center_lat) * sin(center_lat))); /* Report parameters to the user -----------------------------*/ ptitle("MERCATOR"); radius2(r_major, r_minor); cenlonmer(lon_center); origin(lat_origin); offsetp(false_easting,false_northing); return(OK); }
/* Initialize the Equirectangular projection ----------------------------------------*/ int equiforint( double r_maj, /* major axis */ double center_lon, /* center longitude */ double lat1, /* latitude of true scale */ double false_east, /* x offset in meters */ double false_north) /* y offset in meters */ { /* Place parameters in static storage for common use -------------------------------------------------*/ r_major = r_maj; lon_center = center_lon; lat_origin = lat1; false_northing = false_north; false_easting = false_east; /* Report parameters to the user -----------------------------*/ ptitle("EQUIRECTANGULAR"); radius(r_major); cenlonmer(lon_center); origin(lat_origin); offsetp(false_easting,false_northing); return(OK); }
/* Initialize the Lambert Azimuthal Equal Area projection ------------------------------------------------------*/ long lamazforint ( double r, /* (I) Radius of the earth (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; lon_center = center_long; false_easting = false_east; false_northing = false_north; gctp_sincos(center_lat, &sin_lat_o, &cos_lat_o); /* Report parameters to the user -----------------------------*/ ptitle("LAMBERT AZIMUTHAL EQUAL-AREA"); radius(r); cenlon(center_long); cenlat(center_lat); offsetp(false_easting,false_northing); return(GCTP_OK); }
/* 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); }
/* Initialize the Azimuthal projection ----------------------------------*/ int aziminvint( double r_maj, /* major axis */ double center_lon, /* center longitude */ double center_lat, /* 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_major = r_maj; lon_center = center_lon; lat_origin = center_lat; false_northing = false_north; false_easting = false_east; tsincos(center_lat,&sin_p12,&cos_p12); /* Report parameters to the user -----------------------------*/ ptitle("AZIMUTHAL EQUIDISTANT"); radius(r_major); cenlonmer(lon_center); origin(lat_origin); offsetp(false_easting,false_northing); return(OK); }
/* Initialize the Sinusoidal projection ------------------------------------*/ int sininvint( double r_maj, /* major axis */ double r_min, /* minor axis */ double center_long, /* (I) Center longitude */ double false_east, /* x offset in meters */ double false_north) /* y offset in meters */ { /* Place parameters in static storage for common use -------------------------------------------------*/ R = r_maj; if(fabs(r_min) < EPSLN ) /* sphere */ { r_major = r_maj; r_minor = r_maj; } else /* sphere or ellipsoide */ { r_major = r_maj; r_minor = r_min; } lon_center = center_long; false_easting = false_east; false_northing = false_north; es = 1.0 - SQUARE(r_minor / r_major); e = sqrt(es); if(e < 0.00001) { ind = 1; /* sphere */ } else { double e12, e13, e14; ind = 0; /* ellipsoid */ e1 = (1.0 - sqrt(1.0 - es))/(1.0 + sqrt(1.0 - es)); e12 = e1 * e1; e13 = e12 * e1; e14 = e13 * e1; imu = (1.0 - (es/4.0) - (3.0 * es * es / 64.0) - (5.0 * es * es * es /256.0)); e2 = ((3.0 * e1 /2.0) - (27.0 * e13 / 32.0)); e3 = ((21.0 * e12 / 16.0) - (55.0 * e14 / 32.0)); e4 = (151.0 * e13 / 96.0); e5 = (1097.0 * e14 / 512.0); } /* Report parameters to the user -----------------------------*/ ptitle("SINUSOIDAL"); radius2(r_major, r_minor); cenlon(center_long); offsetp(false_easting,false_northing); return(OK); }
/* Initialize the ALASKA CONFORMAL projection -----------------------------------------*/ long alconinvint ( double r_maj, /* Major axis */ double r_min, /* Minor axis */ double false_east, /* x offset in meters */ double false_north /* y offset in meters */ ) { double es; double chi; double esphi; /* Place parameters in static storage for common use -------------------------------------------------*/ r_major = r_maj; r_minor = r_min; false_easting = false_east; false_northing = false_north; lon_center = -152.0 * D2R; lat_center = 64.0 * D2R; n = 6; es = .006768657997291094; e = sqrt(es); acoef[1]= 0.9945303; acoef[2]= 0.0052083; acoef[3]= 0.0072721; acoef[4]= -0.0151089; acoef[5]= 0.0642675; acoef[6]= 0.3582802; bcoef[1]= 0.0; bcoef[2]= -.0027404; bcoef[3]= 0.0048181; bcoef[4]= -0.1932526; bcoef[5]= -0.1381226; bcoef[6]= -0.2884586; esphi = e * sin(lat_center); chi = 2.0 * atan(tan((HALF_PI + lat_center)/2.0) * pow(((1.0 - esphi)/(1.0 + esphi)),(e/2.0))) - HALF_PI; gctp_sincos(chi,&sin_p26,&cos_p26); /* Report parameters to the user -----------------------------*/ ptitle("ALASKA CONFORMAL"); radius2(r_major,r_minor); cenlon(lon_center); cenlat(lat_center); offsetp(false_easting,false_northing); return(GCTP_OK); }
/* Initialize the Polar Stereographic projection --------------------------------------------*/ long psinvint ( double r_maj, /* major axis */ double r_min, /* minor axis */ double c_lon, /* center longitude */ double c_lat, /* center latitude */ double false_east, /* x offset in meters */ double false_north /* y offset in meters */ ) { double temp; /* temporary variable */ double con1; /* temporary angle */ double sinphi; /* sin value */ double cosphi; /* cos value */ double es; /* eccentricity squared */ r_major = r_maj; r_minor = r_min; false_easting = false_east; false_northing = false_north; temp = r_minor / r_major; es = 1.0 - SQUARE(temp); e = sqrt(es); e4 = e4fn(e); center_lon = c_lon; center_lat = c_lat; if (c_lat < 0) fac = -1.0; else fac = 1.0; ind = 0; if (fabs(fabs(c_lat) - HALF_PI) > EPSLN) { ind = 1; con1 = fac * center_lat; gctp_sincos(con1,&sinphi,&cosphi); mcs = msfnz(e,sinphi,cosphi); tcs = tsfnz(e,con1,sinphi); } /* Report parameters to the user -----------------------------*/ ptitle("POLAR STEREOGRAPHIC"); radius2(r_major, r_minor); cenlon(center_lon); offsetp(false_east,false_north); return(GCTP_OK); }
// Initialize the Polar Stereographic projection long Projectoid::psinvint( double r_maj, // major axis double r_min, // minor axis double c_lon, // center longitude double c_lat, // center latitude double false_east, // x offset in meters double false_north) // y offset in meters { double temp; // temporary variable double con1; // temporary angle double sinphi; // sin value double cosphi; // cos value double es; // eccentricity squared r_major = r_maj; r_minor = r_min; false_easting = false_east; false_northing = false_north; temp = r_minor / r_major; es = 1.0 - SQUARE(temp); e = sqrt(es); e4 = e4fn(e); center_lon = c_lon; center_lat = c_lat; if (c_lat < 0) fac = -1.0; else fac = 1.0; ind = 0; if (fabs(fabs(c_lat) - HALF_PI) > EPSLN) { ind = 1; con1 = fac * center_lat; sincos(con1, &sinphi, &cosphi); mcs = msfnz(e, sinphi, cosphi); tcs = tsfnz(e, con1, sinphi); } // Report parameters to the user ptitle("POLAR STEREOGRAPHIC"); radius2(r_major, r_minor); cenlon(center_lon); offsetp(false_east, false_north); InverseOK[WCS_PROJECTIONCODE_PS] = 1; InverseTransform = &Projectoid::psinv; return(OK); }
/* Initialize the Cylinderical Equal Area projection -------------------------------------------------*/ int ceaforint( double r_maj, /* major axis */ double r_min, /* minor axis */ double center_lon, /* center longitude */ double center_lat, /* center latitude */ double false_east, /* x offset in meters */ double false_north) /* y offset in meters */ { double temp; /* temporary variable */ /* Place parameters in static storage for common use -------------------------------------------------*/ r_major = r_maj; r_minor = r_min; lon_center = center_lon; lat_truesc = center_lat; false_northing = false_north; false_easting = false_east; temp = r_minor / r_major; es = 1.0 - SQUARE(temp); e = sqrt(es); if(es < 0.00001) { ind = 1; } else { ind = 0; } cosphi1 = cos(lat_truesc); sinphi1 = sin(lat_truesc); kz = cosphi1/(sqrt(1.0 - (es*sinphi1*sinphi1))); /* Report parameters to the user -----------------------------*/ ptitle("Cylinderical Equal Area"); radius2(r_major, r_minor); cenlonmer(lon_center); true_scale(lat_truesc); offsetp(false_easting,false_northing); return(OK); }
/* Initialize the Miller Cylindrical projection -------------------------------------------*/ int millforint( double r, /* (I) Radius of the earth (sphere) */ double center_long, /* (I) Center longitude */ double false_east, /* x offset in meters */ double false_north) /* y offset in meters */ { /* Place parameters in static storage for common use -------------------------------------------------*/ R = r; lon_center = center_long; false_easting = false_east; false_northing = false_north; /* Report parameters to the user -----------------------------*/ ptitle("MILLER CYLINDRICAL"); radius(r); cenlon(center_long); offsetp(false_easting,false_northing); return(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 POLYCONIC projection long Projectoid::polyinvint( double r_maj, // major axis double r_min, // minor axis double center_lon_init, // center longitude double center_lat_init, // center latitude double false_east, // x offset in meters double false_north) // y offset in meters { double temp; // temporary variable // Place parameters in static storage for common use r_major = r_maj; r_minor = r_min; lon_center = center_lon_init; lat_origin = center_lat_init; false_northing = false_north; false_easting = false_east; 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 = mlfn(e0, e1, e2, e3, lat_origin); // Report parameters to the user ptitle("POLYCONIC"); radius2(r_major, r_minor); cenlonmer(lon_center); origin(lat_origin); offsetp(false_easting, false_northing); InverseOK[WCS_PROJECTIONCODE_POLYC] = 1; InverseTransform = &Projectoid::polyinv; return(OK); }
/* Initialize the POLYCONIC projection ----------------------------------*/ long polyforint ( double r_maj, /* major axis */ double r_min, /* minor axis */ double center_lon, /* center longitude */ double center_lat, /* center latitude */ double false_east, /* x offset in meters */ double false_north /* y offset in meters */ ) { double temp; /* temporary variable */ /* Place parameters in static storage for common use -------------------------------------------------*/ r_major = r_maj; r_minor = r_min; lon_center = center_lon; lat_origin = center_lat; false_northing = false_north; false_easting = false_east; 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 = mlfn(e0, e1, e2, e3, lat_origin); /* Report parameters to the user -----------------------------*/ ptitle("POLYCONIC"); radius2(r_major, r_minor); cenlonmer(lon_center); origin(lat_origin); offsetp(false_easting,false_northing); return(GCTP_OK); }
/* Initialize the Van Der Grinten projection ----------------------------------------*/ long vandgforint ( double r, /* (I) Radius of the earth (sphere) */ double center_long, /* (I) Center longitude */ double false_east, /* x offset in meters */ double false_north /* y offset in meters */ ) { /* Place parameters in static storage for common use -------------------------------------------------*/ R = r; lon_center = center_long; false_easting = false_east; false_northing = false_north; /* Report parameters to the user -----------------------------*/ ptitle("VAN DER GRINTEN"); radius(r); cenlon(center_long); offsetp(false_easting,false_northing); return(GCTP_OK); }
// Initialize the Wagner VII projection long Projectoid::wviiinvint( double r, // (I) Radius of the earth (sphere) double center_long, // (I) Center longitude double false_east, // x offset double false_north) // y offset { // Place parameters in static storage for common use R = r; lon_center = center_long; false_easting = false_east; false_northing = false_north; // Report parameters to the user ptitle("WAGNER VII"); radius(r); cenlon(center_long); offsetp(false_easting, false_northing); InverseOK[WCS_PROJECTIONCODE_WAGVII] = 1; InverseTransform = &Projectoid::wviiinv; return(OK); }
// Initialize the Lambert Conformal Conic projection long Projectoid::lamccinvint( double r_maj, // major axis double r_min, // minor axis double lat1, // first standard parallel double lat2, // second standard parallel double c_lon, // center longitude double c_lat, // center latitude double false_east, // x offset in meters double false_north) // y offset in meters { double sin_po; // sin value double cos_po; // cos value double con; // temporary sin value double ms1; // small m 1 double ms2; // small m 2 double temp; // temporary variable double ts0; // small t 0 double ts1; // small t 1 double ts2; // small t 2 r_major = r_maj; r_minor = r_min; false_easting = false_east; false_northing = false_north; // Standard Parallels cannot be equal and on opposite sides of the equator if (fabs(lat1 + lat2) < EPSLN) { p_error("Equal Latitiudes for St. Parallels on opposite sides of equator", "lamcc-inv"); return(41); } temp = r_minor / r_major; es = 1.0 - SQUARE(temp); e = sqrt(es); center_lon = c_lon; center_lat = c_lat; sincos(lat1, &sin_po, &cos_po); con = sin_po; ms1 = msfnz(e, sin_po, cos_po); ts1 = tsfnz(e, lat1, sin_po); sincos(lat2, &sin_po, &cos_po); ms2 = msfnz(e, sin_po, cos_po); ts2 = tsfnz(e, lat2, sin_po); sin_po = sin(center_lat); ts0 = tsfnz(e, center_lat, sin_po); if (fabs(lat1 - lat2) > EPSLN) ns = log(ms1 / ms2) / log(ts1 / ts2); else ns = con; f0 = ms1 / (ns * pow(ts1, ns)); rh = r_major * f0 * pow(ts0, ns); // Report parameters to the user ptitle("LAMBERT CONFORMAL CONIC"); radius2(r_major, r_minor); stanparl(lat1, lat2); cenlonmer(center_lon); origin(c_lat); offsetp(false_easting, false_northing); InverseOK[WCS_PROJECTIONCODE_LAMCC] = 1; InverseTransform = &Projectoid::lamccinv; return(OK); }
/* Initialize the Albers projection -------------------------------*/ int alberinvint( double r_maj, /* major axis */ double r_min, /* minor axis */ double lat1, /* first standard parallel */ double lat2, /* second standard parallel */ double lon0, /* center longitude */ double lat0, /* center lattitude */ double false_east, /* x offset in meters */ double false_north) /* y offset in meters */ { double sin_po,cos_po; /* sine and cos values */ double con; /* temporary variable */ double temp; /* temporary variable */ double ms1; /* small m 1 */ double ms2; /* small m 2 */ double qs0; /* small q 0 */ double qs1; /* small q 1 */ double qs2; /* small q 2 */ false_easting = false_east; false_northing = false_north; lon_center = lon0; if (fabs(lat1 + lat2) < EPSLN) { p_error("Equal latitudes for Standard Parallels on opposite sides of equator" ,"alber-invinit"); return(31); } r_major = r_maj; r_minor = r_min; temp = r_minor / r_major; es = 1.0 - SQUARE(temp); e3 = sqrt(es); tsincos(lat1, &sin_po, &cos_po); con = sin_po; ms1 = msfnz(e3,sin_po,cos_po); qs1 = qsfnz(e3,sin_po,cos_po); tsincos(lat2,&sin_po,&cos_po); ms2 = msfnz(e3,sin_po,cos_po); qs2 = qsfnz(e3,sin_po,cos_po); tsincos(lat0,&sin_po,&cos_po); qs0 = qsfnz(e3,sin_po,cos_po); if (fabs(lat1 - lat2) > EPSLN) ns0 = (ms1 * ms1 - ms2 *ms2)/ (qs2 - qs1); else ns0 = con; c = ms1 * ms1 + ns0 * qs1; rh = r_major * sqrt(c - ns0 * qs0)/ns0; /* Report parameters to the user -----------------------------*/ ptitle("ALBERS CONICAL EQUAL-AREA"); radius2(r_major, r_minor); stanparl(lat1,lat2); cenlonmer(lon_center); origin(lat0); offsetp(false_easting,false_northing); 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; }
/* Initialize the General Lambert Azimuthal Equal Area projection --------------------------------------------------------------*/ int lamazforint( double r_maj, /* major axis */ double r_min, /* minor axis */ 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_maj; if(fabs(r_min) < EPSLN ) /* sphere */ { r_major = r_maj; r_minor = r_maj; } else /* sphere or ellipsoide */ { r_major = r_maj; r_minor = r_min; } lon_center = center_long; lat_center = center_lat; false_easting = false_east; false_northing = false_north; tsincos(center_lat, &sin_lat_o, &cos_lat_o); sinphi1 = sin_lat_o; cosphi1 = cos_lat_o; es = 1.0 - SQUARE(r_minor / r_major); e = sqrt(es); if(es < 0.00001) { ind = 1; /* sphere */ qp = 2.0; q1 = 2.0; } else { ind = 0; /* ellipsoid */ qp = (1.0 - es)* (((1.0/(1.0 - es))-(1.0/(2.0*e))*log((1.0 - e)/(1.0 + e)))); if((fabs (lat_center - HALF_PI) <= EPSLN ) || (fabs (lat_center + HALF_PI) <= EPSLN )) { /* no other constants needed for LA with North and South polar Aspects lat_center = 90 or -90*/ } else { tsincos(lat_center, &sinphi1, &cosphi1); q1 = (1.0 - es) * ((sinphi1 / (1.0 - es * sinphi1 * sinphi1)) - (1.0 / (2.0 * e)) * log((1.0 - e * sinphi1)/(1.0 + e * sinphi1))); Rq = r_major * sqrt(qp/2.0); if(fabs(q1) >= fabs(qp)) { beta1 = HALF_PI * (fabs(q1/qp)/(q1/qp)); } else { beta1 = asinz(q1/qp); } tsincos(beta1, &sin_beta1, &cos_beta1); m1 = cosphi1 / sqrt(1.0 - es * sinphi1 * sinphi1); D = (r_major * m1)/ (Rq * cos_beta1); } } /* Report parameters to the user -----------------------------*/ ptitle("LAMBERT AZIMUTHAL EQUAL-AREA"); radius2(r_major, r_minor); cenlon(center_long); cenlat(center_lat); offsetp(false_easting,false_northing); return(OK); }
// Initialize the ROBINSON projection long Projectoid::robinvint( double r, // (I) Radius of the earth (sphere) double center_long, // (I) Center longitude double false_east, // x offset in meters double false_north) // y offset in meters { long i; // Place parameters in static storage for common use R = r; lon_center = center_long; false_easting = false_east; false_northing = false_north; pr[1]= -0.062; xlr[1]=0.9986; pr[2]=0.0; xlr[2]=1.0; pr[3]=0.062; xlr[3]=0.9986; pr[4]=0.124; xlr[4]=0.9954; pr[5]=0.186; xlr[5]=0.99; pr[6]=0.248; xlr[6]=0.9822; pr[7]=0.31; xlr[7]=0.973; pr[8]=0.372; xlr[8]=0.96; pr[9]=0.434; xlr[9]=0.9427; pr[10]=0.4958; xlr[10]=0.9216; pr[11]=0.5571; xlr[11]=0.8962; pr[12]=0.6176; xlr[12]=0.8679; pr[13]=0.6769; xlr[13]=0.835; pr[14]=0.7346; xlr[14]=0.7986; pr[15]=0.7903; xlr[15]=0.7597; pr[16]=0.8435; xlr[16]=0.7186; pr[17]=0.8936; xlr[17]=0.6732; pr[18]=0.9394; xlr[18]=0.6213; pr[19]=0.9761; xlr[19]=0.5722; pr[20]=1.0; xlr[20]=0.5322; for (i = 0; i < 21; i++) xlr[i] *= 0.9858; // Report parameters to the user ptitle("ROBINSON"); radius(r); cenlon(center_long); offsetp(false_easting, false_northing); InverseOK[WCS_PROJECTIONCODE_ROBIN] = 1; InverseTransform = &Projectoid::robinv; return(OK); }
/* Initialize the Lambert Conformal conic projection ------------------------------------------------*/ int lamccforint( double r_maj, /* major axis */ double r_min, /* minor axis */ double lat1, /* first standard parallel */ double lat2, /* second standard parallel */ double c_lon, /* center longitude */ double c_lat, /* center latitude */ double false_east, /* x offset in meters */ double false_north) /* y offset in meters */ { double sin_po; /* sin value */ double cos_po; /* cos value */ double con; /* temporary variable */ double ms1; /* small m 1 */ double ms2; /* small m 2 */ double temp; /* temporary variable */ double ts0; /* small t 0 */ double ts1; /* small t 1 */ double ts2; /* small t 2 */ r_major = r_maj; r_minor = r_min; false_northing = false_north; false_easting = false_east; /* Standard Parallels cannot be equal and on opposite sides of the equator ------------------------------------------------------------------------*/ if (fabs(lat1+lat2) < EPSLN) { p_error("Equal Latitiudes for St. Parallels on opposite sides of equator", "lamcc-for"); return(41); } temp = r_minor / r_major; es = 1.0 - SQUARE(temp); e = sqrt(es); center_lon = c_lon; center_lat = c_lat; tsincos(lat1,&sin_po,&cos_po); con = sin_po; ms1 = msfnz(e,sin_po,cos_po); ts1 = tsfnz(e,lat1,sin_po); tsincos(lat2,&sin_po,&cos_po); ms2 = msfnz(e,sin_po,cos_po); ts2 = tsfnz(e,lat2,sin_po); sin_po = sin(center_lat); ts0 = tsfnz(e,center_lat,sin_po); if (fabs(lat1 - lat2) > EPSLN) ns = log (ms1/ms2)/ log (ts1/ts2); else ns = con; f0 = ms1 / (ns * pow(ts1,ns)); rh = r_major * f0 * pow(ts0,ns); /* Report parameters to the user -----------------------------*/ ptitle("LAMBERT CONFORMAL CONIC"); radius2(r_major, r_minor); stanparl(lat1,lat2); cenlonmer(center_lon); origin(c_lat); offsetp(false_easting,false_northing); return(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); }
/* Initialize the Equidistant Conic projection ------------------------------------------*/ int eqconinvint( double r_maj, /* major axis */ double r_min, /* minor axis */ double lat1, /* latitude of standard parallel*/ double lat2, /* latitude of standard parallel*/ double center_lon, /* center longitude */ double center_lat, /* center latitude */ double false_east, /* x offset in meters */ double false_north, /* y offset in meters */ long mode) /* which format is present A B */ { double temp; /* temporary variable */ double sinphi,cosphi; /* sin and cos values */ double ms1,ms2; double ml1,ml2; /* Place parameters in static storage for common use -------------------------------------------------*/ r_major = r_maj; r_minor = r_min; lon_center = center_lon; false_northing = false_north; false_easting = false_east; 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); tsincos(lat1,&sinphi,&cosphi); ms1 = msfnz(e,sinphi,cosphi); ml1 = mlfn(e0, e1, e2, e3, lat1); /* format B ---------*/ if (mode != 0) { if (fabs(lat1 + lat2) < EPSLN) { p_error("Standard Parallels on opposite sides of equator","eqcon-for"); return(81); } tsincos(lat2,&sinphi,&cosphi); ms2 = msfnz(e,sinphi,cosphi); ml2 = mlfn(e0, e1, e2, e3, lat2); if (fabs(lat1 - lat2) >= EPSLN) ns = (ms1 - ms2) / (ml2 - ml1); else ns = sinphi; } else ns = sinphi; g = ml1 + ms1/ns; ml0 = mlfn(e0, e1, e2, e3, center_lat); rh = r_major * (g - ml0); /* Report parameters to the user -----------------------------*/ if (mode != 0) { ptitle("EQUIDISTANT CONIC"); radius2(r_major, r_minor); stanparl(lat1,lat2); cenlonmer(lon_center); origin(center_lat); offsetp(false_easting,false_northing); } else { ptitle("EQUIDISTANT CONIC"); radius2(r_major, r_minor); stparl1(lat1); cenlonmer(lon_center); origin(center_lat); offsetp(false_easting,false_northing); } return(OK); }