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authorWilliam Joye <wjoye@cfa.harvard.edu>2016-10-26 21:13:00 (GMT)
committerWilliam Joye <wjoye@cfa.harvard.edu>2016-10-26 21:13:00 (GMT)
commitda2e3d212171bbe64c1af39114fd067308656990 (patch)
tree9601f7ed15fa1394762124630c12a792bc073ec2 /funtools/wcs/platepos.c
parent76b109ad6d97d19ab835596dc70149ef379f3733 (diff)
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-/*** File saoimage/wcslib/platepos.c
- *** February 29, 2000
- *** By Jessica Mink, jmink@cfa.harvard.edu
- *** Harvard-Smithsonian Center for Astrophysics
- *** Copyright (C) 1998-2002
- *** Smithsonian Astrophysical Observatory, Cambridge, MA, USA
-
- This library is free software; you can redistribute it and/or
- modify it under the terms of the GNU Lesser General Public
- License as published by the Free Software Foundation; either
- version 2 of the License, or (at your option) any later version.
-
- This library is distributed in the hope that it will be useful,
- but WITHOUT ANY WARRANTY; without even the implied warranty of
- MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
- Lesser General Public License for more details.
-
- You should have received a copy of the GNU Lesser General Public
- License along with this library; if not, write to the Free Software
- Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
-
- Correspondence concerning WCSTools should be addressed as follows:
- Internet email: jmink@cfa.harvard.edu
- Postal address: Jessica Mink
- Smithsonian Astrophysical Observatory
- 60 Garden St.
- Cambridge, MA 02138 USA
-
- * Module: platepos.c (Plate solution WCS conversion
- * Purpose: Compute WCS from plate fit
- * Subroutine: platepos() converts from pixel location to RA,Dec
- * Subroutine: platepix() converts from RA,Dec to pixel location
-
- These functions are based on the astrmcal.c portion of GETIMAGE by
- J. Doggett and the documentation distributed with the Digital Sky Survey.
-
-*/
-
-#include <math.h>
-#include <string.h>
-#include <stdio.h>
-#include "wcs.h"
-
-int
-platepos (xpix, ypix, wcs, xpos, ypos)
-
-/* Routine to determine accurate position for pixel coordinates */
-/* returns 0 if successful otherwise 1 = angle too large for projection; */
-/* based on amdpos() from getimage */
-
-/* Input: */
-double xpix; /* x pixel number (RA or long without rotation) */
-double ypix; /* y pixel number (dec or lat without rotation) */
-struct WorldCoor *wcs; /* WCS parameter structure */
-
-/* Output: */
-double *xpos; /* Right ascension or longitude in degrees */
-double *ypos; /* Declination or latitude in degrees */
-
-{
- double x, y, x2, y2, x3, y3, r2;
- double xi, xir, eta, etar, raoff, ra, dec, ra0, dec0;
- double twopi = 6.28318530717959;
- double ctan, ccos;
- int ncoeff1 = wcs->ncoeff1;
- int ncoeff2 = wcs->ncoeff2;
-
- /* Ignore magnitude and color terms
- double mag = 0.0;
- double color = 0.0; */
-
- /* Convert from pixels to millimeters */
- x = xpix - wcs->crpix[0];
- y = ypix - wcs->crpix[1];
- x2 = x * x;
- y2 = y * y;
- x3 = x * x2;
- y3 = y * y2;
- r2 = x2 + y2;
-
- /* Compute xi,eta coordinates in degrees from x,y and plate model */
- xi = wcs->x_coeff[ 0] + wcs->x_coeff[ 1]*x +
- wcs->x_coeff[ 2]*y + wcs->x_coeff[ 3]*x2 +
- wcs->x_coeff[ 4]*y2 + wcs->x_coeff[ 5]*x*y;
-
- if (ncoeff1 > 6)
- xi = xi + wcs->x_coeff[ 6]*x3 + wcs->x_coeff[ 7]*y3;
-
- if (ncoeff1 > 8) {
- xi = xi + wcs->x_coeff[ 8]*x2*y + wcs->x_coeff[ 9]*x*y2 +
- wcs->x_coeff[10]*(r2) + wcs->x_coeff[11]*x*r2 +
- wcs->x_coeff[12]*y*r2;
- }
-
- eta = wcs->y_coeff[ 0] + wcs->y_coeff[ 1]*x +
- wcs->y_coeff[ 2]*y + wcs->y_coeff[ 3]*x2 +
- wcs->y_coeff[ 4]*y2 + wcs->y_coeff[ 5]*x*y;
-
- if (ncoeff2 > 6)
- eta = eta + wcs->y_coeff[ 6]*x3 + wcs->y_coeff[ 7]*y3;
-
- if (ncoeff2 > 8) {
- eta = eta + wcs->y_coeff[ 8]*x2*y + wcs->y_coeff[ 9]*y2*x +
- wcs->y_coeff[10]*r2 + wcs->y_coeff[11]*x*r2 +
- wcs->y_coeff[12]*y*r2;
- }
-
- /* Convert to radians */
- xir = degrad (xi);
- etar = degrad (eta);
-
- /* Convert to RA and Dec */
- ra0 = degrad (wcs->crval[0]);
- dec0 = degrad (wcs->crval[1]);
- ctan = tan (dec0);
- ccos = cos (dec0);
- raoff = atan2 (xir / ccos, 1.0 - etar * ctan);
- ra = raoff + ra0;
- if (ra < 0.0) ra = ra + twopi;
- *xpos = raddeg (ra);
-
- dec = atan (cos (raoff) / ((1.0 - (etar * ctan)) / (etar + ctan)));
- *ypos = raddeg (dec);
- return 0;
-}
-
-
-int
-platepix (xpos, ypos, wcs, xpix, ypix)
-
-/* Routine to determine pixel coordinates for sky position */
-/* returns 0 if successful otherwise 1 = angle too large for projection; */
-/* based on amdinv() from getimage */
-
-/* Input: */
-double xpos; /* Right ascension or longitude in degrees */
-double ypos; /* Declination or latitude in degrees */
-struct WorldCoor *wcs; /* WCS parameter structure */
-
-/* Output: */
-double *xpix; /* x pixel number (RA or long without rotation) */
-double *ypix; /* y pixel number (dec or lat without rotation) */
-
-{
- double xi,eta,x,y,xy,x2,y2,x2y,y2x,x3,y3,r2,dx,dy;
- double tdec,ctan,ccos,traoff, craoff, etar, xir;
- double f,fx,fy,g,gx,gy;
- double ra0, dec0, ra, dec;
- double tolerance = 0.0000005;
- int max_iterations = 50;
- int i;
- int ncoeff1 = wcs->ncoeff1;
- int ncoeff2 = wcs->ncoeff2;
-
- /* Convert RA and Dec in radians to standard coordinates on a plate */
- ra = degrad (xpos);
- dec = degrad (ypos);
- tdec = tan (dec);
- ra0 = degrad (wcs->crval[0]);
- dec0 = degrad (wcs->crval[1]);
- ctan = tan (dec0);
- ccos = cos (dec0);
- traoff = tan (ra - ra0);
- craoff = cos (ra - ra0);
- etar = (1.0 - ctan * craoff / tdec) / (ctan + (craoff / tdec));
- xir = traoff * ccos * (1.0 - (etar * ctan));
- xi = raddeg (xir);
- eta = raddeg (etar);
-
- /* Set initial value for x,y */
- x = xi * wcs->dc[0] + eta * wcs->dc[1];
- y = xi * wcs->dc[2] + eta * wcs->dc[3];
-
- /* if (wcs->x_coeff[1] == 0.0)
- x = xi - wcs->x_coeff[0];
- else
- x = (xi - wcs->x_coeff[0]) / wcs->x_coeff[1];
- if (wcs->y_coeff[2] == 0.0)
- y = eta - wcs->y_coeff[0];
- else
- y = (eta - wcs->y_coeff[0]) / wcs->y_coeff[2]; */
-
- /* Iterate by Newton's method */
- for (i = 0; i < max_iterations; i++) {
-
- /* X plate model */
- xy = x * y;
- x2 = x * x;
- y2 = y * y;
- x3 = x2 * x;
- y3 = y2 * y;
- x2y = x2 * y;
- y2x = y2 * x;
- r2 = x2 + y2;
-
- f = wcs->x_coeff[0] + wcs->x_coeff[1]*x +
- wcs->x_coeff[2]*y + wcs->x_coeff[3]*x2 +
- wcs->x_coeff[4]*y2 + wcs->x_coeff[5]*xy;
-
- /* Derivative of X model wrt x */
- fx = wcs->x_coeff[1] + wcs->x_coeff[3]*2.0*x +
- wcs->x_coeff[5]*y;
-
- /* Derivative of X model wrt y */
- fy = wcs->x_coeff[2] + wcs->x_coeff[4]*2.0*y +
- wcs->x_coeff[5]*x;
-
- if (ncoeff1 > 6) {
- f = f + wcs->x_coeff[6]*x3 + wcs->x_coeff[7]*y3;
- fx = fx + wcs->x_coeff[6]*3.0*x2;
- fy = fy + wcs->x_coeff[7]*3.0*y2;
- }
-
- if (ncoeff1 > 8) {
- f = f +
- wcs->x_coeff[8]*x2y + wcs->x_coeff[9]*y2x +
- wcs->x_coeff[10]*r2 + wcs->x_coeff[11]*x*r2 +
- wcs->x_coeff[12]*y*r2;
-
- fx = fx + wcs->x_coeff[8]*2.0*xy +
- wcs->x_coeff[9]*y2 +
- wcs->x_coeff[10]*2.0*x +
- wcs->x_coeff[11]*(3.0*x2+y2) +
- wcs->x_coeff[12]*2.0*xy;
-
- fy = fy + wcs->x_coeff[8]*x2 +
- wcs->x_coeff[9]*2.0*xy +
- wcs->x_coeff[10]*2.0*y +
- wcs->x_coeff[11]*2.0*xy +
- wcs->x_coeff[12]*(3.0*y2+x2);
- }
-
- /* Y plate model */
- g = wcs->y_coeff[0] + wcs->y_coeff[1]*x +
- wcs->y_coeff[2]*y + wcs->y_coeff[3]*x2 +
- wcs->y_coeff[4]*y2 + wcs->y_coeff[5]*xy;
-
- /* Derivative of Y model wrt x */
- gx = wcs->y_coeff[1] + wcs->y_coeff[3]*2.0*x +
- wcs->y_coeff[5]*y;
-
- /* Derivative of Y model wrt y */
- gy = wcs->y_coeff[2] + wcs->y_coeff[4]*2.0*y +
- wcs->y_coeff[5]*x;
-
- if (ncoeff2 > 6) {
- g = g + wcs->y_coeff[6]*x3 + wcs->y_coeff[7]*y3;
- gx = gx + wcs->y_coeff[6]*3.0*x2;
- gy = gy + wcs->y_coeff[7]*3.0*y2;
- }
-
- if (ncoeff2 > 8) {
- g = g +
- wcs->y_coeff[8]*x2y + wcs->y_coeff[9]*y2x +
- wcs->y_coeff[10]*r2 + wcs->y_coeff[11]*x*r2 +
- wcs->y_coeff[12]*y*r2;
-
- gx = gx + wcs->y_coeff[8]*2.0*xy +
- wcs->y_coeff[9]*y2 +
- wcs->y_coeff[10]*2.0*x +
- wcs->y_coeff[11]*(3.0*x2+y2) +
- wcs->y_coeff[12]*2.0*xy;
-
- gy = gy + wcs->y_coeff[8]*x2 +
- wcs->y_coeff[9]*2.0*xy +
- wcs->y_coeff[10]*2.0*y +
- wcs->y_coeff[11]*2.0*xy +
- wcs->y_coeff[12]*(3.0*y2+x2);
- }
-
- f = f - xi;
- g = g - eta;
- dx = ((-f * gy) + (g * fy)) / ((fx * gy) - (fy * gx));
- dy = ((-g * fx) + (f * gx)) / ((fx * gy) - (fy * gx));
- x = x + dx;
- y = y + dy;
- if ((fabs(dx) < tolerance) && (fabs(dy) < tolerance)) break;
- }
-
- /* Convert from plate pixels to image pixels */
- *xpix = x + wcs->crpix[0];
- *ypix = y + wcs->crpix[1];
-
- /* If position is off of the image, return offscale code */
- if (*xpix < 0.5 || *xpix > wcs->nxpix+0.5)
- return -1;
- if (*ypix < 0.5 || *ypix > wcs->nypix+0.5)
- return -1;
-
- return 0;
-}
-
-
-/* Set plate fit coefficients in structure from arguments */
-int
-SetPlate (wcs, ncoeff1, ncoeff2, coeff)
-
-struct WorldCoor *wcs; /* World coordinate system structure */
-int ncoeff1; /* Number of coefficients for x */
-int ncoeff2; /* Number of coefficients for y */
-double *coeff; /* Plate fit coefficients */
-
-{
- int i;
-
- if (nowcs (wcs) || (ncoeff1 < 1 && ncoeff2 < 1))
- return 1;
-
- wcs->ncoeff1 = ncoeff1;
- wcs->ncoeff2 = ncoeff2;
- wcs->prjcode = WCS_PLT;
-
- for (i = 0; i < 20; i++) {
- if (i < ncoeff1)
- wcs->x_coeff[i] = coeff[i];
- else
- wcs->x_coeff[i] = 0.0;
- }
-
- for (i = 0; i < 20; i++) {
- if (i < ncoeff2)
- wcs->y_coeff[i] = coeff[ncoeff1+i];
- else
- wcs->y_coeff[i] = 0.0;
- }
- return 0;
-}
-
-
-/* Return plate fit coefficients from structure in arguments */
-int
-GetPlate (wcs, ncoeff1, ncoeff2, coeff)
-
-struct WorldCoor *wcs; /* World coordinate system structure */
-int *ncoeff1; /* Number of coefficients for x */
-int *ncoeff2; /* Number of coefficients for y) */
-double *coeff; /* Plate fit coefficients */
-
-{
- int i;
-
- if (nowcs (wcs))
- return 1;
-
- *ncoeff1 = wcs->ncoeff1;
- *ncoeff2 = wcs->ncoeff2;
-
- for (i = 0; i < *ncoeff1; i++)
- coeff[i] = wcs->x_coeff[i];
-
- for (i = 0; i < *ncoeff2; i++)
- coeff[*ncoeff1+i] = wcs->y_coeff[i];
-
- return 0;
-}
-
-
-/* Set FITS header plate fit coefficients from structure */
-void
-SetFITSPlate (header, wcs)
-
-char *header; /* Image FITS header */
-struct WorldCoor *wcs; /* WCS structure */
-
-{
- char keyword[16];
- int i;
-
- for (i = 0; i < wcs->ncoeff1; i++) {
- sprintf (keyword,"CO1_%d",i+1);
- hputnr8 (header, keyword, -15, wcs->x_coeff[i]);
- }
- for (i = 0; i < wcs->ncoeff2; i++) {
- sprintf (keyword,"CO2_%d",i+1);
- hputnr8 (header, keyword, -15, wcs->y_coeff[i]);
- }
- return;
-}
-
-/* Mar 27 1998 New subroutines for direct image pixel <-> sky polynomials
- * Apr 10 1998 Make terms identical for both x and y polynomials
- * Apr 10 1998 Allow different numbers of coefficients for x and y
- * Apr 16 1998 Drom NCOEFF header parameter
- * Apr 28 1998 Change projection flags to WCS_*
- * Sep 10 1998 Check for xc1 and yc2 divide by zero after Allen Harris, SAO
- *
- * Oct 21 1999 Drop unused variables after lint
- *
- * Feb 29 2000 Use inverse CD matrix to get initial X,Y in platepix()
- * as suggested by Paolo Montegriffo from Bologna Ast. Obs.
- */