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- #include <u.h>
- #include <libc.h>
- #include <bio.h>
- #include "sky.h"
- void
- amdinv(Header *h, Angle ra, Angle dec, float mag, float col)
- {
- int i, max_iterations;
- float tolerance;
- float object_x, object_y, delta_x, delta_y, f, fx, fy, g, gx, gy;
- float x1, x2, x3, x4;
- float y1, y2, y3, y4;
- /*
- * Initialize
- */
- max_iterations = 50;
- tolerance = 0.0000005;
- /*
- * Convert RA and Dec to St.coords
- */
- traneqstd(h, ra, dec);
- /*
- * Set initial value for x,y
- */
- object_x = h->xi/h->param[Ppltscale];
- object_y = h->eta/h->param[Ppltscale];
- /*
- * Iterate by Newtons method
- */
- for(i = 0; i < max_iterations; i++) {
- /*
- * X plate model
- */
- x1 = object_x;
- x2 = x1 * object_x;
- x3 = x1 * object_x;
- x4 = x1 * object_x;
- y1 = object_y;
- y2 = y1 * object_y;
- y3 = y1 * object_y;
- y4 = y1 * object_y;
- f =
- h->param[Pamdx1] * x1 +
- h->param[Pamdx2] * y1 +
- h->param[Pamdx3] +
- h->param[Pamdx4] * x2 +
- h->param[Pamdx5] * x1*y1 +
- h->param[Pamdx6] * y2 +
- h->param[Pamdx7] * (x2+y2) +
- h->param[Pamdx8] * x2*x1 +
- h->param[Pamdx9] * x2*y1 +
- h->param[Pamdx10] * x1*y2 +
- h->param[Pamdx11] * y3 +
- h->param[Pamdx12] * x1* (x2+y2) +
- h->param[Pamdx13] * x1 * (x2+y2) * (x2+y2) +
- h->param[Pamdx14] * mag +
- h->param[Pamdx15] * mag*mag +
- h->param[Pamdx16] * mag*mag*mag +
- h->param[Pamdx17] * mag*x1 +
- h->param[Pamdx18] * mag * (x2+y2) +
- h->param[Pamdx19] * mag*x1 * (x2+y2) +
- h->param[Pamdx20] * col;
- /*
- * Derivative of X model wrt x
- */
- fx =
- h->param[Pamdx1] +
- h->param[Pamdx4] * 2*x1 +
- h->param[Pamdx5] * y1 +
- h->param[Pamdx7] * 2*x1 +
- h->param[Pamdx8] * 3*x2 +
- h->param[Pamdx9] * 2*x1*y1 +
- h->param[Pamdx10] * y2 +
- h->param[Pamdx12] * (3*x2+y2) +
- h->param[Pamdx13] * (5*x4 + 6*x2*y2 + y4) +
- h->param[Pamdx17] * mag +
- h->param[Pamdx18] * mag*2*x1 +
- h->param[Pamdx19] * mag*(3*x2+y2);
- /*
- * Derivative of X model wrt y
- */
- fy =
- h->param[Pamdx2] +
- h->param[Pamdx5] * x1 +
- h->param[Pamdx6] * 2*y1 +
- h->param[Pamdx7] * 2*y1 +
- h->param[Pamdx9] * x2 +
- h->param[Pamdx10] * x1*2*y1 +
- h->param[Pamdx11] * 3*y2 +
- h->param[Pamdx12] * 2*x1*y1 +
- h->param[Pamdx13] * 4*x1*y1* (x2+y2) +
- h->param[Pamdx18] * mag*2*y1 +
- h->param[Pamdx19] * mag*2*x1*y1;
- /*
- * Y plate model
- */
- g =
- h->param[Pamdy1] * y1 +
- h->param[Pamdy2] * x1 +
- h->param[Pamdy3] +
- h->param[Pamdy4] * y2 +
- h->param[Pamdy5] * y1*x1 +
- h->param[Pamdy6] * x2 +
- h->param[Pamdy7] * (x2+y2) +
- h->param[Pamdy8] * y3 +
- h->param[Pamdy9] * y2*x1 +
- h->param[Pamdy10] * y1*x3 +
- h->param[Pamdy11] * x3 +
- h->param[Pamdy12] * y1 * (x2+y2) +
- h->param[Pamdy13] * y1 * (x2+y2) * (x2+y2) +
- h->param[Pamdy14] * mag +
- h->param[Pamdy15] * mag*mag +
- h->param[Pamdy16] * mag*mag*mag +
- h->param[Pamdy17] * mag*y1 +
- h->param[Pamdy18] * mag * (x2+y2) +
- h->param[Pamdy19] * mag*y1 * (x2+y2) +
- h->param[Pamdy20] * col;
- /*
- * Derivative of Y model wrt x
- */
- gx =
- h->param[Pamdy2] +
- h->param[Pamdy5] * y1 +
- h->param[Pamdy6] * 2*x1 +
- h->param[Pamdy7] * 2*x1 +
- h->param[Pamdy9] * y2 +
- h->param[Pamdy10] * y1*2*x1 +
- h->param[Pamdy11] * 3*x2 +
- h->param[Pamdy12] * 2*x1*y1 +
- h->param[Pamdy13] * 4*x1*y1 * (x2+y2) +
- h->param[Pamdy18] * mag*2*x1 +
- h->param[Pamdy19] * mag*y1*2*x1;
- /*
- * Derivative of Y model wrt y
- */
- gy =
- h->param[Pamdy1] +
- h->param[Pamdy4] * 2*y1 +
- h->param[Pamdy5] * x1 +
- h->param[Pamdy7] * 2*y1 +
- h->param[Pamdy8] * 3*y2 +
- h->param[Pamdy9] * 2*y1*x1 +
- h->param[Pamdy10] * x2 +
- h->param[Pamdy12] * 3*y2 +
- h->param[Pamdy13] * (5*y4 + 6*x2*y2 + x4) +
- h->param[Pamdy17] * mag +
- h->param[Pamdy18] * mag*2*y1 +
- h->param[Pamdy19] * mag*(x2 + 3*y2);
- f = f - h->xi;
- g = g - h->eta;
- delta_x = (-f*gy+g*fy) / (fx*gy-fy*gx);
- delta_y = (-g*fx+f*gx) / (fx*gy-fy*gx);
- object_x = object_x + delta_x;
- object_y = object_y + delta_y;
- if((fabs(delta_x) < tolerance) && (fabs(delta_y) < tolerance))
- break;
- }
- /*
- * Convert mm from plate center to pixels
- */
- h->x = (h->param[Pppo3]-object_x*1000.0)/h->param[Pxpixelsz];
- h->y = (h->param[Pppo6]+object_y*1000.0)/h->param[Pypixelsz];
- }
- void
- ppoinv(Header *h, Angle ra, Angle dec)
- {
- /*
- * Convert RA and Dec to standard coords.
- */
- traneqstd(h, ra, dec);
- /*
- * Convert st.coords from arcsec to radians
- */
- h->xi /= ARCSECONDS_PER_RADIAN;
- h->eta /= ARCSECONDS_PER_RADIAN;
- /*
- * Compute PDS coordinates from solution
- */
- h->x =
- h->param[Pppo1]*h->xi +
- h->param[Pppo2]*h->eta +
- h->param[Pppo3];
- h->y =
- h->param[Pppo4]*h->xi +
- h->param[Pppo5]*h->eta +
- h->param[Pppo6];
- /*
- * Convert x,y from microns to pixels
- */
- h->x /= h->param[Pxpixelsz];
- h->y /= h->param[Pypixelsz];
- }
- void
- traneqstd(Header *h, Angle object_ra, Angle object_dec)
- {
- float div;
- /*
- * Find divisor
- */
- div =
- (sin(object_dec)*sin(h->param[Ppltdec]) +
- cos(object_dec)*cos(h->param[Ppltdec]) *
- cos(object_ra - h->param[Ppltra]));
- /*
- * Compute standard coords and convert to arcsec
- */
- h->xi = cos(object_dec) *
- sin(object_ra - h->param[Ppltra]) *
- ARCSECONDS_PER_RADIAN/div;
- h->eta = (sin(object_dec)*cos(h->param[Ppltdec])-
- cos(object_dec)*sin(h->param[Ppltdec])*
- cos(object_ra - h->param[Ppltra]))*
- ARCSECONDS_PER_RADIAN/div;
- }
- void
- xypos(Header *h, Angle ra, Angle dec, float mag, float col)
- {
- if (h->amdflag) {
- amdinv(h, ra, dec, mag, col);
- } else {
- ppoinv(h, ra, dec);
- }
- }
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