/*============================================================================
  WCSLIB 7.7 - an implementation of the FITS WCS standard.
  Copyright (C) 1995-2021, Mark Calabretta

  This file is part of WCSLIB.

  WCSLIB 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 3 of the License, or (at your option)
  any later version.

  WCSLIB 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 WCSLIB.  If not, see http://www.gnu.org/licenses.

  Author: Mark Calabretta, Australia Telescope National Facility, CSIRO.
  http://www.atnf.csiro.au/people/Mark.Calabretta
  $Id: tdis1.c,v 7.7 2021/07/12 06:36:49 mcalabre Exp $
*=============================================================================
*
* tdis1 tests the WCSLIB distortion functions for closure.  Input comes from
* the FITS file specified as an argument, which must contain a 2D image, or
* else from TPV7.fits.  The test is done via linp2x() and linx2p().
*
*---------------------------------------------------------------------------*/

#include <math.h>
#include <stdio.h>
#include <stdlib.h>
#include <string.h>
#include <time.h>

#include <wcserr.h>
#include <wcshdr.h>
#include <wcsprintf.h>
#include <lin.h>
#include <dis.h>

#define HEADER_SIZE 36000

int tpv2poly(struct wcsprm *wcs);

// Absolute and fractional tolerance.  Distortions are typically used on
// large images, so the absolute tolerance in the corners may not be very
// high, simply due to floating point precision.
const double ATOL = 1.0e-9;
const double FTOL = 1.0e-10;


int main(int argc, char *argv[])

{
  char *infile = "TPV7.fits";

  char keyrec[81], header[288001], *disfn;
  int  dopoly, gotend, iblock, ikeyrec, inc, itest, j, k, n, naxis[2], naxis1,
       naxis2, nClosure, nFail, nkeyrec, nsamp, nreject, nTest, nwcs, p1, p2,
       status;
  clock_t t0, tp2x, tx2p;
  double absmax, dp1, dp2, *img, *img1, *img2, pix[8], pixblc[2], pixsamp[2],
         pixtrc[2], px, *px0, *px1, pxi[8], rel, resid, relmax;
  double *avgdis, *avgtot, *maxdis, *maxtot, *rmsdis, *rmstot, stats[9];
  FILE   *fptr;
  struct linprm affine, *lin, *linpol, *lintpv;
  struct wcsprm *wcs, wcspol;


  wcserr_enable(1);
  wcsprintf_set(stdout);

  // Set line buffering in case stdout is redirected to a file, otherwise
  // stdout and stderr messages will be jumbled (stderr is unbuffered).
  setvbuf(stdout, NULL, _IOLBF, 0);

  wcsprintf("Testing closure of WCSLIB distortion routines (tdis1.c)\n"
            "-------------------------------------------------------\n");

  // List status return messages.
  wcsprintf("\nList of dis status return values:\n");
  for (status = 1; status <= 5; status++) {
    wcsprintf("%4d: %s.\n", status, dis_errmsg[status]);
  }
  wcsprintf("\n");

  // Optional file name specified?
  if (1 < argc) {
    infile = argv[1];
  }


  // Read in the FITS header, excluding COMMENT and HISTORY keyrecords.
  if ((fptr = fopen(infile, "r")) == 0) {
    wcsprintf("ERROR opening %s\n", infile);
    return 1;
  }

  memset(naxis, 0, 2*sizeof(int));

  k = 0;
  nkeyrec = 0;
  gotend = 0;
  for (iblock = 0; iblock < 100; iblock++) {
    for (ikeyrec = 0; ikeyrec < 36; ikeyrec++) {
      if (fgets(keyrec, 81, fptr) == 0) {
        break;
      }

      if (strncmp(keyrec, "        ", 8) == 0) continue;
      if (strncmp(keyrec, "COMMENT ", 8) == 0) continue;
      if (strncmp(keyrec, "HISTORY ", 8) == 0) continue;

      if (strncmp(keyrec, "NAXIS", 5) == 0) {
        if (keyrec[5] == ' ') {
          sscanf(keyrec+10, "%d", &n);
          if (n != 2) {
            wcsprintf("ERROR, expecting a 2D image.\n");
            return 1;
          }
          continue;
        }

        sscanf(keyrec+5, "%d = %d", &j, &n);
        naxis[j-1] = n;
        continue;
      }

      memcpy(header+k, keyrec, 80);
      k += 80;
      nkeyrec++;

      if (strncmp(keyrec, "END       ", 10) == 0) {
        // An END keyrecord was read, but read the rest of the block.
        gotend = 1;
      }
    }

    if (gotend) break;
  }
  fclose(fptr);


  // Parse the header.
  if ((wcspih(header, nkeyrec, WCSHDR_none, 2, &nreject, &nwcs, &wcs))) {
    wcsperr(wcs, 0x0);
    return 1;
  }

  // Is it TPV?
  dopoly = 0;
  if (strcmp(wcs->ctype[0], "RA---TPV") == 0) {
    // Copy it and translate to Polynomial for later use.
    wcspol.flag = -1;
    if (wcscopy(1, wcs, &wcspol)) {
      wcsperr(wcs, 0x0);
      return 1;
    }

    // Translate TPV to Polynomial.
    tpv2poly(&wcspol);

    wcspol.flag = -1;
    if (wcsset(&wcspol)) {
      wcsperr(&wcspol, 0x0);
      return 1;
    }

    dopoly = 1;
  }


  // wcsset() translates the TPV "projection" into a sequent distortion.
  if (wcsset(wcs)) {
    wcsperr(wcs, 0x0);
    return 1;
  }

  // Henceforth, we will work with linprm.
  lin = &(wcs->lin);

  // Get statistics on the distortion in the inner quarter of the image.
  maxdis = stats;
  maxtot = maxdis + 2;
  avgdis = maxtot + 1;
  avgtot = avgdis + 2;
  rmsdis = avgtot + 1;
  rmstot = rmsdis + 2;

  pixblc[0]  = 0.25 * naxis[0];
  pixblc[1]  = 0.25 * naxis[1];
  pixtrc[0]  = 0.75 * naxis[0];
  pixtrc[1]  = 0.75 * naxis[1];
  pixsamp[0] = (pixtrc[0] - pixblc[0])/512.0;
  pixsamp[1] = (pixtrc[1] - pixblc[1])/512.0;
  if (pixsamp[0] < 1.0) pixsamp[0] = 1.0;
  if (pixsamp[1] < 1.0) pixsamp[1] = 1.0;

  if (linwarp(lin, pixblc, pixtrc, pixsamp, &nsamp,
              maxdis, maxtot, avgdis, avgtot, rmsdis, rmstot)) {
    linperr(lin, 0x0);
    return 1;
  }

  for (k = 0; k < 9; k++) {
    if (fabs(stats[k]) < 0.0005) stats[k] = 0.0;
  }

  wcsprintf("linwarp() statistics computed over %d sample points:\n"
            "  Max distortion, axis 1: %8.3f pixels\n"
            "                  axis 2: %8.3f pixels\n"
            "                   total: %8.3f pixels\n"
            " Mean distortion, axis 1: %8.3f pixels\n"
            "                  axis 2: %8.3f pixels\n"
            "                   total: %8.3f pixels\n"
            "  RMS distortion, axis 1: %8.3f pixels\n"
            "                  axis 2: %8.3f pixels\n"
            "                   total: %8.3f pixels\n",
            nsamp, maxdis[0], maxdis[1], *maxtot,
                   avgdis[0], avgdis[1], *avgtot,
                   rmsdis[0], rmsdis[1], *rmstot);

  if (lin->disseq) {
    // Exercise diswarp() as well.
    wcsprintf("\n");

    // Define a rectangle in intermediate pixel coordinates that just
    // encompasses the inner quarter of the image.  For this we need
    // to switch off CDELTia scaling and all distortions.
    affine.flag = -1;
    if ((status = lincpy(1, lin, &affine))) {
      linperr(lin, 0x0);
      return 1;
    }

    affine.cdelt[0] = 1.0;
    affine.cdelt[1] = 1.0;
    if ((status = (lindis(1, &affine, 0x0) ||
                   lindis(2, &affine, 0x0) ||
                   linset(&affine)))) {
      linperr(&affine, 0x0);
      return 1;
    }

    pix[0] = pixblc[0];
    pix[1] = pixblc[1];
    pix[2] = pixtrc[0];
    pix[3] = pixblc[1];
    pix[4] = pixtrc[0];
    pix[5] = pixtrc[1];
    pix[6] = pixblc[0];
    pix[7] = pixtrc[1];
    if (linp2x(&affine, 4, 2, pix, pxi)) {
      linperr(&affine, 0x0);
      return 1;
    }

    linfree(&affine);

    pixblc[0] = pxi[0];
    pixblc[1] = pxi[1];
    pixtrc[0] = pxi[0];
    pixtrc[1] = pxi[1];
    k = 2;
    for (j = 1; j < 4; j++) {
      if (pixblc[0] > pxi[k]) pixblc[0] = pxi[k];
      if (pixtrc[0] < pxi[k]) pixtrc[0] = pxi[k];
      k++;
      if (pixblc[1] > pxi[k]) pixblc[1] = pxi[k];
      if (pixtrc[1] < pxi[k]) pixtrc[1] = pxi[k];
      k++;
    }

    pixsamp[0] = (pixtrc[0] - pixblc[0])/512.0;
    pixsamp[1] = (pixtrc[1] - pixblc[1])/512.0;

    if (diswarp(lin->disseq, pixblc, pixtrc, pixsamp, &nsamp,
                maxdis, maxtot, avgdis, avgtot, rmsdis, rmstot)) {
      wcserr_prt(lin->disseq->err, 0x0);
      return 1;
    }

    for (k = 0; k < 9; k++) {
      if (fabs(stats[k]) < 0.0005) stats[k] = 0.0;
    }

    wcsprintf("diswarp() statistics computed over %d sample points:\n"
              "  Max distortion, axis 1: %8.3f units\n"
              "                  axis 2: %8.3f units\n"
              "                   total: %8.3f units\n"
              " Mean distortion, axis 1: %8.3f units\n"
              "                  axis 2: %8.3f units\n"
              "                   total: %8.3f units\n"
              "  RMS distortion, axis 1: %8.3f units\n"
              "                  axis 2: %8.3f units\n"
              "                   total: %8.3f units\n",
              nsamp, maxdis[0], maxdis[1], *maxtot,
                     avgdis[0], avgdis[1], *avgtot,
                     rmsdis[0], rmsdis[1], *rmstot);
  }


  // The image size determines the test domain.
  if ((naxis1 = naxis[0]) == 0) {
    naxis1 = 2*wcs->crpix[0] + 1;
  }
  if ((naxis2 = naxis[1]) == 0) {
    naxis2 = 2*wcs->crpix[1] + 1;
  }

  // Limit the number of tests.
  inc = 1;
  while ((naxis1/inc)*(naxis2/inc) > 800000) {
    inc *= 2;
  }

  n   = naxis1 / inc;
  px0 = calloc(4*(2*n), sizeof(double));
  px1 = px0 + 2*n ;
  img = px1 + 2*n ;
  img1 = img;
  img2 = img + 2*n;

  for (itest = 0; itest < 2; itest++) {
    if (itest) {
      if (!dopoly) break;

      lin = &(wcspol.lin);
    }

    if (lin->dispre) {
      disfn = lin->dispre->dtype[0];
    } else if (lin->disseq) {
      disfn = lin->disseq->dtype[0];
    } else {
      disfn = 0x0;
    }

    wcsprintf("\n");

    // Now the closure test.
    tp2x  = 0;
    tx2p  = 0;
    nTest = 0;
    nFail = 0;
    nClosure = 0;
    absmax = 0.0;
    relmax = 0.0;
    for (p2 = 1; p2 <= naxis2; p2 += inc) {
      k = 0;
      for (p1 = 1; p1 <= naxis1; p1 += inc) {
        px0[k++] = (double)p1;
        px0[k++] = (double)p2;
      }

      t0 = clock();
      if (linp2x(lin, n, 2, px0, img)) {
        linperr(lin, 0x0);
        nFail = 1;
        break;
      }
      tp2x += clock() - t0;

      t0 = clock();
      if (linx2p(lin, n, 2, img, px1)) {
        linperr(lin, 0x0);
        nFail = 1;
        break;
      }
      tx2p += clock() - t0;

      // Check closure.
      k = 0;
      for (k = 0; k < 2*n ; k += 2) {
        dp1 = fabs(px1[k]   - px0[k]);
        dp2 = fabs(px1[k+1] - px0[k+1]);

        resid = (dp1 > dp2) ? dp1 : dp2;
        if (resid > absmax) absmax = resid;

        if (resid > ATOL) {
          nClosure++;
          wcsprintf("Absolute closure error:\n");
          wcsprintf("    pix: %18.12f %18.12f\n", px0[k], px0[k+1]);
          wcsprintf(" -> img: %18.12f %18.12f\n", img[k], img[k+1]);
          wcsprintf(" -> pix: %18.12f %18.12f\n", px1[k], px1[k+1]);
          wcsprintf("\n");
          continue;
        }

        resid = 0.0;
        if ((px = fabs(px0[k]))   > 1.0) resid = dp1/px;
        if ((px = fabs(px0[k+1])) > 1.0) {
          if ((rel = dp2/px) > resid) resid = rel;
        }
        if (resid > relmax) relmax = resid;

        if (resid > FTOL) {
          nClosure++;
          wcsprintf("Relative closure error:\n");
          wcsprintf("    pix: %18.12f %18.12f\n", px0[k], px0[k+1]);
          wcsprintf(" -> img: %18.12f %18.12f\n", img[k], img[k+1]);
          wcsprintf(" -> pix: %18.12f %18.12f\n", px1[k], px1[k+1]);
          wcsprintf("\n");
        }
      }

      nTest += n;
    }

    if (nFail) {
      wcsprintf("\nFAIL: The %s test failed to complete.\n", disfn);

    } else {
      wcsprintf("linp2x/linx2p with %s distortions:\n"
        "  Completed %d closure tests.\n"
        "  Maximum absolute closure residual = %.2e pixel.\n"
        "  Maximum relative closure residual = %.2e.\n", disfn,
        nTest, absmax, relmax);
      wcsprintf("\n");

      wcsprintf("  linp2x time (ns): %6.0f\n  linx2p time (ns): %6.0f\n\n",
        1.0e9*((double)tp2x/CLOCKS_PER_SEC)/nTest,
        1.0e9*((double)tx2p/CLOCKS_PER_SEC)/nTest);

      if (nClosure) {
        wcsprintf("FAIL: %d closure residuals exceed reporting tolerance.\n",
          nClosure);

      } else {
        wcsprintf("PASS: All %s closure residuals are within reporting "
          "tolerance.\n", disfn);
      }
    }
  }


  // Compare TPV with Polynomial over the test domain.
  if (dopoly) {
    wcsprintf("\n");

    nTest  = 0;
    nFail  = 0;
    absmax = 0.0;
    lintpv = &(wcs->lin);
    linpol = &(wcspol.lin);
    for (p2 = 1; p2 <= naxis2; p2 += inc) {
      k = 0;
      for (p1 = 1; p1 <= naxis1; p1 += inc) {
        px0[k++] = (double)p1;
        px0[k++] = (double)p2;
      }

      if (linp2x(lintpv, n, 2, px0, img1)) {
        linperr(lintpv, 0x0);
        break;
      }

      if (linp2x(linpol, n, 2, px0, img2)) {
        linperr(linpol, 0x0);
        break;
      }

      // Check agreement.
      k = 0;
      for (k = 0; k < 2*n ; k += 2) {
        dp1 = fabs(img2[k]   - img1[k]);
        dp2 = fabs(img2[k+1] - img1[k+1]);

        resid = (dp1 > dp2) ? dp1 : dp2;
        if (resid > absmax) absmax = resid;

        if (resid > ATOL) {
          nFail++;
          wcsprintf("TPV - Polynomial disagreement:\n");
          wcsprintf("    pix: %18.12f %18.12f\n", px0[k],  px0[k+1]);
          wcsprintf(" -> TPV: %18.12f %18.12f\n", img1[k], img1[k+1]);
          wcsprintf(" -> Pol: %18.12f %18.12f\n", img2[k], img2[k+1]);
          wcsprintf("\n");
          continue;
        }
      }

      nTest += n;
    }

    wcsprintf("linp2x, TPV vs Polynomial distortions:\n"
      "  Completed %d comparisons.\n"
      "  Maximum absolute disagreement = %.2e units.\n", nTest, absmax);
    wcsprintf("\n");

    if (nFail) {
      wcsprintf("FAIL: %d comparisons exceed reporting tolerance.\n", nFail);

    } else {
      wcsprintf("PASS: All TPV vs Polynomial comparisons are within "
                "reporting tolerance.\n");
    }
  }


  free(px0);
  wcsvfree(&nwcs, &wcs);
  wcsfree(&wcspol);

  return nFail || nClosure;
}

/*----------------------------------------------------------------------------
* Translate a TPV "projection" to a general Polynomial distortion.  Must be
* done before wcsset() which automatically translates PVi_ma keyvalues to a
* TPV distortion and elides them.
----------------------------------------------------------------------------*/

int tpv2poly(struct wcsprm *wcs)

{
  const int tpvpow[40][3] = {
    {0, 0, 0}, {1, 0, 0}, {0, 1, 0}, {0, 0, 1}, {2, 0, 0},	//  0 -  4
    {1, 1, 0}, {0, 2, 0}, {3, 0, 0}, {2, 1, 0}, {1, 2, 0},	//  5 -  9
    {0, 3, 0}, {0, 0, 3}, {4, 0, 0}, {3, 1, 0}, {2, 2, 0},	// 10 - 14
    {1, 3, 0}, {0, 4, 0}, {5, 0, 0}, {4, 1, 0}, {3, 2, 0},	// 15 - 19
    {2, 3, 0}, {1, 4, 0}, {0, 5, 0}, {0, 0, 5}, {6, 0, 0},	// 20 - 24
    {5, 1, 0}, {4, 2, 0}, {3, 3, 0}, {2, 4, 0}, {1, 5, 0},	// 25 - 29
    {0, 6, 0}, {7, 0, 0}, {6, 1, 0}, {5, 2, 0}, {4, 3, 0},	// 30 - 34
    {3, 4, 0}, {2, 5, 0}, {1, 6, 0}, {0, 7, 0}, {0, 0, 7}};	// 35 - 39

  char dqi[16], dqifield[32];
  int  i, k, m, naux, nterms;
  struct disprm *dis;
  struct dpkey  *keyp;

  // Attach a disprm struct to linprm.  Also inits it.
  if ((dis = calloc(1, sizeof(struct disprm))) == 0x0) {
    return 1;
  }

  // Set values in the disprm struct.
  dis->flag = -1;
  disndp(24 + 3*wcs->npv);
  lindis(2, &(wcs->lin), dis);


  // The asterisk after the name prevents translation to TPD.
  sprintf(dis->dtype[0], "Polynomial*");
  sprintf(dis->dtype[1], "Polynomial*");

  keyp = dis->dp;
  for (i = 1; i <= 2; i++) {
    // Glean essential information from the PVi_ma.
    naux   = 0;
    nterms = 0;
    for (k = 0; k < wcs->npv; k++) {
      if (wcs->pv[k].i != i) continue;

      m = wcs->pv[k].m;
      if (tpvpow[m][2]) naux = 1;
      nterms++;
    }

    // Distortion parameters for axis i.
    sprintf(dqi, "DQ%d", i);
    dpfill(keyp++, dqi, "NAXES",  i, 0, 2, 0.0);
    dpfill(keyp++, dqi, "AXIS.1", i, 0, (i==1)?1:2, 0.0);
    dpfill(keyp++, dqi, "AXIS.2", i, 0, (i==1)?2:1, 0.0);
    dpfill(keyp++, dqi, "DOCORR", i, 0, 0, 0.0);

    if (naux) {
      dpfill(keyp++, dqi, "NAUX",   i, 0, 1, 0.0);
      dpfill(keyp++, dqi, "AUX.1.COEFF.0", i, 1, 0, 0.0);
      dpfill(keyp++, dqi, "AUX.1.POWER.0", i, 1, 0, 0.5);
      dpfill(keyp++, dqi, "AUX.1.COEFF.1", i, 1, 0, 1.0);
      dpfill(keyp++, dqi, "AUX.1.POWER.1", i, 1, 0, 2.0);
      dpfill(keyp++, dqi, "AUX.1.COEFF.2", i, 1, 0, 1.0);
      dpfill(keyp++, dqi, "AUX.1.POWER.2", i, 1, 0, 2.0);
    }
    dpfill(keyp++, dqi, "NTERMS", i, 0, nterms, 0.0);

    nterms = 0;
    for (k = 0; k < wcs->npv; k++) {
      if (wcs->pv[k].i != i) continue;

      sprintf(dqifield, "%s.TERM.%d", dqi, ++nterms);
      dpfill(keyp++, dqifield, "COEFF", i, 1, 0, wcs->pv[k].value);

      m = wcs->pv[k].m;
      if (tpvpow[m][0]) {
        dpfill(keyp++, dqifield, "VAR.1", i, 1, 0, (double)tpvpow[m][0]);
      }

      if (tpvpow[m][1]) {
        dpfill(keyp++, dqifield, "VAR.2", i, 1, 0, (double)tpvpow[m][1]);
      }

      if (tpvpow[m][2]) {
        dpfill(keyp++, dqifield, "AUX.1", i, 1, 0, (double)tpvpow[m][2]);
      }
    }
  }

  dis->ndp = keyp - dis->dp;


  // TPV now becomes TAN.
  strcpy(wcs->ctype[0]+5, "TAN");
  strcpy(wcs->ctype[1]+5, "TAN");
  wcs->npv = 0;

  return 0;
}
