Esempio n. 1
0
int IL_resample_interp_segments_2d(struct interp_params *params, struct BM *bitmask,	/* bitmask */
				   double zmin, double zmax,	/* min and max input z-values */
				   double *zminac, double *zmaxac,	/* min and max interp. z-values */
				   double *gmin, double *gmax,	/* min and max inperp. slope val. */
				   double *c1min, double *c1max, double *c2min, double *c2max,	/* min and max interp. curv. val. */
				   double *ertot,	/* total interplating func. error */
				   off_t offset1,	/* offset for temp file writing */
				   double *dnorm,
				   int overlap,
				   int inp_rows,
				   int inp_cols,
				   int fdsmooth,
				   int fdinp,
				   double ns_res,
				   double ew_res,
				   double inp_ns_res,
				   double inp_ew_res, int dtens)
{

    int i, j, k, l, m, m1, i1;	/* loop coounters */
    int cursegm = 0;
    int new_comp = 0;
    int n_rows, n_cols, inp_r, inp_c;
    double x_or, y_or, xm, ym;
    static int first = 1, new_first = 1;
    double **matrix = NULL, **new_matrix = NULL, *b = NULL;
    int *indx = NULL, *new_indx = NULL;
    static struct fcell_triple *in_points = NULL;	/* input points */
    int inp_check_rows, inp_check_cols,	/* total input rows/cols */
      out_check_rows, out_check_cols;	/* total output rows/cols */
    int first_row, last_row;	/* first and last input row of segment */
    int first_col, last_col;	/* first and last input col of segment */
    int num, prev;
    int div;			/* number of divides */
    int rem_out_row, rem_out_col;	/* output rows/cols remainders */
    int inp_seg_r, inp_seg_c,	/* # of input rows/cols in segment */
      out_seg_r, out_seg_c;	/* # of output rows/cols in segment */
    int ngstc, nszc		/* first and last output col of the
				 * segment */
     , ngstr, nszr;		/* first and last output row of the
				 * segment */
    int index;			/* index for input data */
    int c, r;
    int overlap1;
    int p_size;
    struct quaddata *data;
    double xmax, xmin, ymax, ymin;
    int totsegm;		/* total number of segments */
    int total_points = 0;
    struct triple triple;	/* contains garbage */


    xmin = params->x_orig;
    ymin = params->y_orig;
    xmax = xmin + ew_res * params->nsizc;
    ymax = ymin + ns_res * params->nsizr;
    prev = inp_rows * inp_cols;
    if (prev <= params->kmax)
	div = 1;		/* no segmentation */

    else {			/* find the number of divides */
	for (i = 2;; i++) {
	    c = inp_cols / i;
	    r = inp_rows / i;
	    num = c * r;
	    if (num < params->kmin) {
		if (((params->kmin - num) > (prev + 1 - params->kmax)) &&
		    (prev + 1 < params->KMAX2)) {
		    div = i - 1;
		    break;
		}
		else {
		    div = i;
		    break;
		}
	    }
	    if ((num > params->kmin) && (num + 1 < params->kmax)) {
		div = i;
		break;
	    }
	    prev = num;
	}
    }
    out_seg_r = params->nsizr / div;	/* output rows per segment */
    out_seg_c = params->nsizc / div;	/* output cols per segment */
    inp_seg_r = inp_rows / div;	/* input rows per segment */
    inp_seg_c = inp_cols / div;	/* input rows per segment */
    rem_out_col = params->nsizc % div;
    rem_out_row = params->nsizr % div;
    overlap1 = min1(overlap, inp_seg_c - 1);
    overlap1 = min1(overlap1, inp_seg_r - 1);
    out_check_rows = 0;
    out_check_cols = 0;
    inp_check_rows = 0;
    inp_check_cols = 0;

    if (div == 1) {
	p_size = inp_seg_c * inp_seg_r;
    }
    else {
	p_size = (overlap1 * 2 + inp_seg_c) * (overlap1 * 2 + inp_seg_r);
    }
    if (!in_points) {
	if (!
	    (in_points =
	     (struct fcell_triple *)G_malloc(sizeof(struct fcell_triple) *
					     p_size * div))) {
	    fprintf(stderr, "Cannot allocate memory for in_points\n");
	    return -1;
	}
    }

    *dnorm =
	sqrt(((xmax - xmin) * (ymax -
			       ymin) * p_size) / (inp_rows * inp_cols));

    if (dtens) {
	params->fi = params->fi * (*dnorm) / 1000.;
	fprintf(stderr, "dnorm = %f, rescaled tension = %f\n", *dnorm,
		params->fi);
    }

    if (div == 1) {		/* no segmentation */
	totsegm = 1;
	cursegm = 1;

	input_data(params, 1, inp_rows, in_points, fdsmooth, fdinp, inp_rows,
		   inp_cols, zmin, inp_ns_res, inp_ew_res);

	x_or = 0.;
	y_or = 0.;
	xm = params->nsizc * ew_res;
	ym = params->nsizr * ns_res;

	data = (struct quaddata *)quad_data_new(x_or, y_or, xm, ym,
						params->nsizr, params->nsizc,
						0, params->KMAX2);
	m1 = 0;
	for (k = 1; k <= p_size; k++) {
	    if (!Rast_is_f_null_value(&(in_points[k - 1].z))) {
		data->points[m1].x = in_points[k - 1].x / (*dnorm);
		data->points[m1].y = in_points[k - 1].y / (*dnorm);
		/*        data->points[m1].z = (double) (in_points[k - 1].z) / (*dnorm); */
		data->points[m1].z = (double)(in_points[k - 1].z);
		data->points[m1].sm = in_points[k - 1].smooth;
		m1++;
	    }
	}
	data->n_points = m1;
	total_points = m1;
	if (!(indx = G_alloc_ivector(params->KMAX2 + 1))) {
	    fprintf(stderr, "Cannot allocate memory for indx\n");
	    return -1;
	}
	if (!(matrix = G_alloc_matrix(params->KMAX2 + 1, params->KMAX2 + 1))) {
	    fprintf(stderr, "Cannot allocate memory for matrix\n");
	    return -1;
	}
	if (!(b = G_alloc_vector(params->KMAX2 + 2))) {
	    fprintf(stderr, "Cannot allocate memory for b\n");
	    return -1;
	}

	if (params->matrix_create(params, data->points, m1, matrix, indx) < 0)
	    return -1;
	for (i = 0; i < m1; i++) {
	    b[i + 1] = data->points[i].z;
	}
	b[0] = 0.;
	G_lubksb(matrix, m1 + 1, indx, b);

	params->check_points(params, data, b, ertot, zmin, *dnorm, triple);

	if (params->grid_calc(params, data, bitmask,
			      zmin, zmax, zminac, zmaxac, gmin, gmax,
			      c1min, c1max, c2min, c2max, ertot, b, offset1,
			      *dnorm) < 0) {
	    fprintf(stderr, "interpolation failed\n");
	    return -1;
	}
	else {
	    if (totsegm != 0) {
		G_percent(cursegm, totsegm, 1);
	    }
	    /*
	     * if (b) G_free_vector(b); if (matrix) G_free_matrix(matrix); if
	     * (indx) G_free_ivector(indx);
	     */
	    fprintf(stderr, "dnorm in ressegm after grid before out= %f \n",
		    *dnorm);
	    return total_points;
	}
    }

    out_seg_r = params->nsizr / div;	/* output rows per segment */
    out_seg_c = params->nsizc / div;	/* output cols per segment */
    inp_seg_r = inp_rows / div;	/* input rows per segment */
    inp_seg_c = inp_cols / div;	/* input rows per segment */
    rem_out_col = params->nsizc % div;
    rem_out_row = params->nsizr % div;
    overlap1 = min1(overlap, inp_seg_c - 1);
    overlap1 = min1(overlap1, inp_seg_r - 1);
    out_check_rows = 0;
    out_check_cols = 0;
    inp_check_rows = 0;
    inp_check_cols = 0;

    totsegm = div * div;

    /* set up a segment */
    for (i = 1; i <= div; i++) {	/* input and output rows */
	if (i <= div - rem_out_row)
	    n_rows = out_seg_r;
	else
	    n_rows = out_seg_r + 1;
	inp_r = inp_seg_r;
	out_check_cols = 0;
	inp_check_cols = 0;
	ngstr = out_check_rows + 1;	/* first output row of the segment */
	nszr = ngstr + n_rows - 1;	/* last output row of the segment */
	y_or = (ngstr - 1) * ns_res;	/* y origin of the segment */
	/*
	 * Calculating input starting and ending rows and columns of this
	 * segment
	 */
	first_row = (int)(y_or / inp_ns_res) + 1;
	if (first_row > overlap1) {
	    first_row -= overlap1;	/* middle */
	    last_row = first_row + inp_seg_r + overlap1 * 2 - 1;
	    if (last_row > inp_rows) {
		first_row -= (last_row - inp_rows);	/* bottom */
		last_row = inp_rows;
	    }
	}
	else {
	    first_row = 1;	/* top */
	    last_row = first_row + inp_seg_r + overlap1 * 2 - 1;
	}
	if ((last_row > inp_rows) || (first_row < 1)) {
	    fprintf(stderr, "Row overlap too large!\n");
	    return -1;
	}
	input_data(params, first_row, last_row, in_points, fdsmooth, fdinp,
		   inp_rows, inp_cols, zmin, inp_ns_res, inp_ew_res);

	for (j = 1; j <= div; j++) {	/* input and output cols */
	    if (j <= div - rem_out_col)
		n_cols = out_seg_c;
	    else
		n_cols = out_seg_c + 1;
	    inp_c = inp_seg_c;

	    ngstc = out_check_cols + 1;	/* first output col of the segment */
	    nszc = ngstc + n_cols - 1;	/* last output col of the segment */
	    x_or = (ngstc - 1) * ew_res;	/* x origin of the segment */

	    first_col = (int)(x_or / inp_ew_res) + 1;
	    if (first_col > overlap1) {
		first_col -= overlap1;	/* middle */
		last_col = first_col + inp_seg_c + overlap1 * 2 - 1;
		if (last_col > inp_cols) {
		    first_col -= (last_col - inp_cols);	/* right */
		    last_col = inp_cols;
		}
	    }
	    else {
		first_col = 1;	/* left */
		last_col = first_col + inp_seg_c + overlap1 * 2 - 1;
	    }
	    if ((last_col > inp_cols) || (first_col < 1)) {
		fprintf(stderr, "Column overlap too large!\n");
		return -1;
	    }
	    m = 0;
	    /* Getting points for interpolation (translated) */

	    xm = nszc * ew_res;
	    ym = nszr * ns_res;
	    data = (struct quaddata *)quad_data_new(x_or, y_or, xm, ym,
						    nszr - ngstr + 1,
						    nszc - ngstc + 1, 0,
						    params->KMAX2);
	    new_comp = 0;

	    for (k = 0; k <= last_row - first_row; k++) {
		for (l = first_col - 1; l < last_col; l++) {
		    index = k * inp_cols + l;
		    if (!Rast_is_f_null_value(&(in_points[index].z))) {
			/* if the point is inside the segment (not overlapping) */
			if ((in_points[index].x - x_or >= 0) &&
			    (in_points[index].y - y_or >= 0) &&
			    ((nszc - 1) * ew_res - in_points[index].x >= 0) &&
			    ((nszr - 1) * ns_res - in_points[index].y >= 0))
			    total_points += 1;
			data->points[m].x =
			    (in_points[index].x - x_or) / (*dnorm);
			data->points[m].y =
			    (in_points[index].y - y_or) / (*dnorm);
			/*            data->points[m].z = (double) (in_points[index].z) / (*dnorm); */
			data->points[m].z = (double)(in_points[index].z);
			data->points[m].sm = in_points[index].smooth;
			m++;
		    }
		    else
			new_comp = 1;

		    /*          fprintf(stderr,"%f,%f,%f
		       zmin=%f\n",in_points[index].x,in_points[index].y,in_points[index].z,zmin);
		     */
		}
	    }
	    /*      fprintf (stdout,"m,index:%di,%d\n",m,index); */
	    if (m <= params->KMAX2)
		data->n_points = m;
	    else
		data->n_points = params->KMAX2;
	    out_check_cols += n_cols;
	    inp_check_cols += inp_c;
	    cursegm = (i - 1) * div + j - 1;

	    /* show before to catch 0% */
	    if (totsegm != 0) {
		G_percent(cursegm, totsegm, 1);
	    }
	    if (m == 0) {
		/*
		 * fprintf(stderr,"Warning: segment with zero points encountered,
		 * insrease overlap\n");
		 */
		write_zeros(params, data, offset1);
	    }
	    else {
		if (new_comp) {
		    if (new_first) {
			new_first = 0;
			if (!b) {
			    if (!(b = G_alloc_vector(params->KMAX2 + 2))) {
				fprintf(stderr,
					"Cannot allocate memory for b\n");
				return -1;
			    }
			}
			if (!(new_indx = G_alloc_ivector(params->KMAX2 + 1))) {
			    fprintf(stderr,
				    "Cannot allocate memory for new_indx\n");
			    return -1;
			}
			if (!
			    (new_matrix =
			     G_alloc_matrix(params->KMAX2 + 1,
					    params->KMAX2 + 1))) {
			    fprintf(stderr,
				    "Cannot allocate memory for new_matrix\n");
			    return -1;
			}
		    }		/*new_first */
		    if (params->
			matrix_create(params, data->points, data->n_points,
				      new_matrix, new_indx) < 0)
			return -1;

		    for (i1 = 0; i1 < m; i1++) {
			b[i1 + 1] = data->points[i1].z;
		    }
		    b[0] = 0.;
		    G_lubksb(new_matrix, data->n_points + 1, new_indx, b);

		    params->check_points(params, data, b, ertot, zmin,
					 *dnorm, triple);

		    if (params->grid_calc(params, data, bitmask,
					  zmin, zmax, zminac, zmaxac, gmin,
					  gmax, c1min, c1max, c2min, c2max,
					  ertot, b, offset1, *dnorm) < 0) {

			fprintf(stderr, "interpolate() failed\n");
			return -1;
		    }
		}		/*new_comp */
		else {
		    if (first) {
			first = 0;
			if (!b) {
			    if (!(b = G_alloc_vector(params->KMAX2 + 2))) {
				fprintf(stderr,
					"Cannot allocate memory for b\n");
				return -1;
			    }
			}
			if (!(indx = G_alloc_ivector(params->KMAX2 + 1))) {
			    fprintf(stderr,
				    "Cannot allocate memory for indx\n");
			    return -1;
			}
			if (!
			    (matrix =
			     G_alloc_matrix(params->KMAX2 + 1,
					    params->KMAX2 + 1))) {
			    fprintf(stderr,
				    "Cannot allocate memory for matrix\n");
			    return -1;
			}
		    }		/* first */
		    if (params->
			matrix_create(params, data->points, data->n_points,
				      matrix, indx) < 0)
			return -1;
		    /*        } here it was bug */
		    for (i1 = 0; i1 < m; i1++)
			b[i1 + 1] = data->points[i1].z;
		    b[0] = 0.;
		    G_lubksb(matrix, data->n_points + 1, indx, b);

		    params->check_points(params, data, b, ertot, zmin,
					 *dnorm, triple);

		    if (params->grid_calc(params, data, bitmask,
					  zmin, zmax, zminac, zmaxac, gmin,
					  gmax, c1min, c1max, c2min, c2max,
					  ertot, b, offset1, *dnorm) < 0) {

			fprintf(stderr, "interpolate() failed\n");
			return -1;
		    }
		}
	    }
	    if (data) {
		G_free(data->points);
		G_free(data);
	    }
	    /*
	     * cursegm++;
	     */
	}

	inp_check_rows += inp_r;
	out_check_rows += n_rows;
    }

    /* run one last time after the loop is done to catch 100% */
    if (totsegm != 0)
	G_percent(1, 1, 1);	/* cursegm doesn't get to totsegm so we force 100% */

    /*
     * if (b) G_free_vector(b); if (indx) G_free_ivector(indx); if (matrix)
     * G_free_matrix(matrix);
     */
    fprintf(stderr, "dnorm in ressegm after grid before out2= %f \n", *dnorm);
    return total_points;
}
Esempio n. 2
0
void process(void)
{

    /*--------------------------------------------------------------------------*/
    /*                              INITIALISE                                  */

    /*--------------------------------------------------------------------------*/


    DCELL *row_in,		/* Buffer large enough to hold `wsize'  */
     *row_out = NULL,		/* raster rows. When GRASS reads in a   */
	/* raster row, each element is of type  */
	/* DCELL        */
	*window_ptr,		/* Stores local terrain window.         */
	centre;			/* Elevation of central cell in window. */

    CELL *featrow_out = NULL;	/* store features in CELL */

    struct Cell_head region;	/* Structure to hold region information */

    int nrows,			/* Will store the current number of     */
      ncols,			/* rows and columns in the raster.      */
      row, col,			/* Counts through each row and column   */
	/* of the input raster.                 */
      wind_row,			/* Counts through each row and column   */
      wind_col,			/* of the local neighbourhood window.   */
     *index_ptr;		/* Row permutation vector for LU decomp. */

    double **normal_ptr,	/* Cross-products matrix.               */
     *obs_ptr,			/* Observed vector.                     */
      temp;			/* Unused */

    double *weight_ptr;		/* Weighting matrix for observed values. */


    /*--------------------------------------------------------------------------*/
    /*                     GET RASTER AND WINDOW DETAILS                        */

    /*--------------------------------------------------------------------------*/

    G_get_window(&region);	/* Fill out the region structure (the   */
    /* geographical limits etc.)            */

    nrows = Rast_window_rows();	/* Find out the number of rows and      */
    ncols = Rast_window_cols();	/* columns of the raster.               */


    if ((region.ew_res / region.ns_res >= 1.01) ||	/* If EW and NS resolns are    */
	(region.ns_res / region.ew_res >= 1.01)) {	/* >1% different, warn user.      */
	G_warning(_("E-W and N-S grid resolutions are different. Taking average."));
	resoln = (region.ns_res + region.ew_res) / 2;
    }
    else
	resoln = region.ns_res;


    /*--------------------------------------------------------------------------*/
    /*              RESERVE MEMORY TO HOLD Z VALUES AND MATRICES                */

    /*--------------------------------------------------------------------------*/

    row_in = (DCELL *) G_malloc(ncols * sizeof(DCELL) * wsize);
    /* Reserve `wsize' rows of memory.      */

    if (mparam != FEATURE)
	row_out = Rast_allocate_buf(DCELL_TYPE);	/* Initialise output row buffer.     */
    else
	featrow_out = Rast_allocate_buf(CELL_TYPE);	/* Initialise output row buffer.  */

    window_ptr = (DCELL *) G_malloc(SQR(wsize) * sizeof(DCELL));
    /* Reserve enough memory for local wind. */

    weight_ptr = (double *)G_malloc(SQR(wsize) * sizeof(double));
    /* Reserve enough memory weights matrix. */

    normal_ptr = dmatrix(0, 5, 0, 5);	/* Allocate memory for 6*6 matrix       */
    index_ptr = ivector(0, 5);	/* and for 1D vector holding indices    */
    obs_ptr = dvector(0, 5);	/* and for 1D vector holding observed z */


    /* ---------------------------------------------------------------- */
    /* -            CALCULATE LEAST SQUARES COEFFICIENTS              - */
    /* ---------------------------------------------------------------- */

    /*--- Calculate weighting matrix. ---*/

    find_weight(weight_ptr);

    /* Initial coefficients need only be found once since they are 
       constant for any given window size. The only element that 
       changes is the observed vector (RHS of normal equations). */

    /*--- Find normal equations in matrix form. ---*/

    find_normal(normal_ptr, weight_ptr);


    /*--- Apply LU decomposition to normal equations. ---*/

    if (constrained) {
	G_ludcmp(normal_ptr, 5, index_ptr, &temp);
	/* To constrain the quadtratic 
	   through the central cell, ignore 
	   the calculations involving the
	   coefficient f. Since these are 
	   all in the last row and column of
	   the matrix, simply redimension.   */
	/* disp_matrix(normal_ptr,obs_ptr,obs_ptr,5);
	 */
    }

    else {
	G_ludcmp(normal_ptr, 6, index_ptr, &temp);
	/* disp_matrix(normal_ptr,obs_ptr,obs_ptr,6);
	 */
    }


    /*--------------------------------------------------------------------------*/
    /*          PROCESS INPUT RASTER AND WRITE OUT RASTER LINE BY LINE          */

    /*--------------------------------------------------------------------------*/

    if (mparam != FEATURE)
	for (wind_row = 0; wind_row < EDGE; wind_row++)
	    Rast_put_row(fd_out, row_out, DCELL_TYPE);	/* Write out the edge cells as NULL.    */
    else
	for (wind_row = 0; wind_row < EDGE; wind_row++)
	    Rast_put_row(fd_out, featrow_out, CELL_TYPE);	/* Write out the edge cells as NULL.    */

    for (wind_row = 0; wind_row < wsize - 1; wind_row++)
	Rast_get_row(fd_in, row_in + (wind_row * ncols), wind_row,
			 DCELL_TYPE);
    /* Read in enough of the first rows to  */
    /* allow window to be examined.         */

    for (row = EDGE; row < (nrows - EDGE); row++) {
	G_percent(row + 1, nrows - EDGE, 2);

	Rast_get_row(fd_in, row_in + ((wsize - 1) * ncols), row + EDGE,
			 DCELL_TYPE);

	for (col = EDGE; col < (ncols - EDGE); col++) {
	    /* Find central z value */
	    centre = *(row_in + EDGE * ncols + col);

	    for (wind_row = 0; wind_row < wsize; wind_row++)
		for (wind_col = 0; wind_col < wsize; wind_col++)

		    /* Express all window values relative   */
		    /* to the central elevation.            */
		    *(window_ptr + (wind_row * wsize) + wind_col) =
			*(row_in + (wind_row * ncols) + col + wind_col -
			  EDGE) - centre;


	    /*--- Use LU back substitution to solve normal equations. ---*/
	    find_obs(window_ptr, obs_ptr, weight_ptr);

	    /*      disp_wind(window_ptr); 
	       disp_matrix(normal_ptr,obs_ptr,obs_ptr,6);
	     */

	    if (constrained) {
		G_lubksb(normal_ptr, 5, index_ptr, obs_ptr);
		/*
		   disp_matrix(normal_ptr,obs_ptr,obs_ptr,5);
		 */
	    }

	    else {
		G_lubksb(normal_ptr, 6, index_ptr, obs_ptr);
		/*      
		   disp_matrix(normal_ptr,obs_ptr,obs_ptr,6);
		 */

	    }

	    /*--- Calculate terrain parameter based on quad. coefficients. ---*/
	    if (mparam == FEATURE)
		*(featrow_out + col) = (CELL) feature(obs_ptr);
	    else
		*(row_out + col) = param(mparam, obs_ptr);

	    if (mparam == ELEV)
		*(row_out + col) += centre;	/* Add central elevation back */
	}

	if (mparam != FEATURE)
	    Rast_put_row(fd_out, row_out, DCELL_TYPE);	/* Write the row buffer to the output   */
	/* raster.                              */
	else			/* write FEATURE to CELL */
	    Rast_put_row(fd_out, featrow_out, CELL_TYPE);	/* Write the row buffer to the output       */
	/* raster.                              */

	/* 'Shuffle' rows down one, and read in */
	/*  one new row.                        */
	for (wind_row = 0; wind_row < wsize - 1; wind_row++)
	    for (col = 0; col < ncols; col++)
		*(row_in + (wind_row * ncols) + col) =
		    *(row_in + ((wind_row + 1) * ncols) + col);
    }

    for (wind_row = 0; wind_row < EDGE; wind_row++) {
	if (mparam != FEATURE)
	    Rast_put_row(fd_out, row_out, DCELL_TYPE);	/* Write out the edge cells as NULL. */
	else
	    Rast_put_row(fd_out, featrow_out, CELL_TYPE);	/* Write out the edge cells as NULL. */
    }

    /*--------------------------------------------------------------------------*/
    /*     FREE MEMORY USED TO STORE RASTER ROWS, LOCAL WINDOW AND MATRICES     */

    /*--------------------------------------------------------------------------*/

    G_free(row_in);
    if (mparam != FEATURE)
	G_free(row_out);
    else
	G_free(featrow_out);

    G_free(window_ptr);
    free_dmatrix(normal_ptr, 0, 5, 0, 5);
    free_dvector(obs_ptr, 0, 5);
    free_ivector(index_ptr, 0, 5);
}
Esempio n. 3
0
/*
 *
 *  Recursively processes each segment in a tree by:
 *
 *  a) finding points from neighbouring segments so that the total number of
 *  points is between KMIN and KMAX2 by calling tree function MT_get_region().
 *
 *  b) creating and solving the system of linear equations using these points
 *  and interp() by calling matrix_create() and G_ludcmp().
 *
 *  c) checking the interpolating function values at points by calling
 *  check_points().
 *
 *  d) computing grid for this segment using points and interp() by calling
 *  grid_calc().
 *
 */
int IL_interp_segments_2d(struct interp_params *params, struct tree_info *info,	/* info for the quad tree */
			  struct multtree *tree,	/* current leaf of the quad tree */
			  struct BM *bitmask,	/* bitmask */
			  double zmin, double zmax,	/* min and max input z-values */
			  double *zminac, double *zmaxac,	/* min and max interp. z-values */
			  double *gmin, double *gmax,	/* min and max inperp. slope val. */
			  double *c1min, double *c1max, double *c2min, double *c2max,	/* min and max interp. curv. val. */
			  double *ertot,	/* total interplating func. error */
			  int totsegm,		/* total number of segments */
			  off_t offset1,	/* offset for temp file writing */
			  double dnorm)
{
    double xmn, xmx, ymn, ymx, distx, disty, distxp, distyp, temp1, temp2;
    int i, npt, nptprev, MAXENC;
    struct quaddata *data;
    static int cursegm = 0;
    static double *b = NULL;
    static int *indx = NULL;
    static double **matrix = NULL;
    double ew_res, ns_res;
    static int first_time = 1;
    static double smseg;
    int MINPTS;
    double pr;
    struct triple *point;
    struct triple skip_point;
    int m_skip, skip_index, j, k, segtest;
    double xx, yy, zz;

    /* find the size of the smallest segment once */
    if (first_time) {
	smseg = smallest_segment(info->root, 4);
	first_time = 0;
    }
    ns_res = (((struct quaddata *)(info->root->data))->ymax -
	      ((struct quaddata *)(info->root->data))->y_orig) /
	params->nsizr;
    ew_res =
	(((struct quaddata *)(info->root->data))->xmax -
	 ((struct quaddata *)(info->root->data))->x_orig) / params->nsizc;

    if (tree == NULL)
	return -1;
    if (tree->data == NULL)
	return -1;
    if (((struct quaddata *)(tree->data))->points == NULL) {
	for (i = 0; i < 4; i++) {
	    IL_interp_segments_2d(params, info, tree->leafs[i],
				  bitmask, zmin, zmax, zminac, zmaxac, gmin,
				  gmax, c1min, c1max, c2min, c2max, ertot,
				  totsegm, offset1, dnorm);
	}
	return 1;
    }
    else {
	distx = (((struct quaddata *)(tree->data))->n_cols * ew_res) * 0.1;
	disty = (((struct quaddata *)(tree->data))->n_rows * ns_res) * 0.1;
	distxp = 0;
	distyp = 0;
	xmn = ((struct quaddata *)(tree->data))->x_orig;
	xmx = ((struct quaddata *)(tree->data))->xmax;
	ymn = ((struct quaddata *)(tree->data))->y_orig;
	ymx = ((struct quaddata *)(tree->data))->ymax;
	i = 0;
	MAXENC = 0;
	/* data is a window with zero points; some fields don't make sence in this case
	   so they are zero (like resolution,dimentions */
	/* CHANGE */
	/* Calcutaing kmin for surrent segment (depends on the size) */

/*****if (smseg <= 0.00001) MINPTS=params->kmin; else {} ***/
	pr = pow(2., (xmx - xmn) / smseg - 1.);
	MINPTS =
	    params->kmin * (pr / (1 + params->kmin * pr / params->KMAX2));
	/* fprintf(stderr,"MINPTS=%d, KMIN=%d, KMAX=%d, pr=%lf, smseg=%lf, DX=%lf \n", MINPTS,params->kmin,params->KMAX2,pr,smseg,xmx-xmn); */

	data =
	    (struct quaddata *)quad_data_new(xmn - distx, ymn - disty,
					     xmx + distx, ymx + disty, 0, 0,
					     0, params->KMAX2);
	npt = MT_region_data(info, info->root, data, params->KMAX2, 4);

	while ((npt < MINPTS) || (npt > params->KMAX2)) {
	    if (i >= 70) {
		G_warning(_("Taking too long to find points for interpolation - "
			    "please change the region to area where your points are. "
			    "Continuing calculations..."));
		break;
	    }
	    i++;
	    if (npt > params->KMAX2)
		/* decrease window */
	    {
		MAXENC = 1;
		nptprev = npt;
		temp1 = distxp;
		distxp = distx;
		distx = distxp - fabs(distx - temp1) * 0.5;
		temp2 = distyp;
		distyp = disty;
		disty = distyp - fabs(disty - temp2) * 0.5;
		/* decrease by 50% of a previous change in window */
	    }
	    else {
		nptprev = npt;
		temp1 = distyp;
		distyp = disty;
		temp2 = distxp;
		distxp = distx;
		if (MAXENC) {
		    disty = fabs(disty - temp1) * 0.5 + distyp;
		    distx = fabs(distx - temp2) * 0.5 + distxp;
		}
		else {
		    distx += distx;
		    disty += disty;
		}
		/* decrease by 50% of extra distance */
	    }
	    data->x_orig = xmn - distx;	/* update window */
	    data->y_orig = ymn - disty;
	    data->xmax = xmx + distx;
	    data->ymax = ymx + disty;
	    data->n_points = 0;
	    npt = MT_region_data(info, info->root, data, params->KMAX2, 4);
	}
	
	if (totsegm != 0) {
	    G_percent(cursegm, totsegm, 1);
	}
	data->n_rows = ((struct quaddata *)(tree->data))->n_rows;
	data->n_cols = ((struct quaddata *)(tree->data))->n_cols;

	/* for printing out overlapping segments */
	((struct quaddata *)(tree->data))->x_orig = xmn - distx;
	((struct quaddata *)(tree->data))->y_orig = ymn - disty;
	((struct quaddata *)(tree->data))->xmax = xmx + distx;
	((struct quaddata *)(tree->data))->ymax = ymx + disty;

	data->x_orig = xmn;
	data->y_orig = ymn;
	data->xmax = xmx;
	data->ymax = ymx;

	if (!matrix) {
	    if (!
		(matrix =
		 G_alloc_matrix(params->KMAX2 + 1, params->KMAX2 + 1))) {
		G_warning(_("Out of memory"));
		return -1;
	    }
	}
	if (!indx) {
	    if (!(indx = G_alloc_ivector(params->KMAX2 + 1))) {
		G_warning(_("Out of memory"));
		return -1;
	    }
	}
	if (!b) {
	    if (!(b = G_alloc_vector(params->KMAX2 + 3))) {
		G_warning(_("Out of memory"));
		return -1;
	    }
	}
	/* allocate memory for CV points only if cv is performed */
	if (params->cv) {
	    if (!
		(point =
		 (struct triple *)G_malloc(sizeof(struct triple) *
					   data->n_points))) {
		G_warning(_("Out of memory"));
		return -1;
	    }
	}

	/*normalize the data so that the side of average segment is about 1m */
	/* put data_points into point only if CV is performed */

	for (i = 0; i < data->n_points; i++) {
	    data->points[i].x = (data->points[i].x - data->x_orig) / dnorm;
	    data->points[i].y = (data->points[i].y - data->y_orig) / dnorm;
	    if (params->cv) {
		point[i].x = data->points[i].x;	/*cv stuff */
		point[i].y = data->points[i].y;	/*cv stuff */
		point[i].z = data->points[i].z;	/*cv stuff */
	    }

	    /* commented out by Helena january 1997 as this is not necessary
	       although it may be useful to put normalization of z back? 
	       data->points[i].z = data->points[i].z / dnorm;
	       this made smoothing self-adjusting  based on dnorm
	       if (params->rsm < 0.) data->points[i].sm = data->points[i].sm / dnorm;
	     */
	}

	/* cv stuff */
	if (params->cv)
	    m_skip = data->n_points;
	else
	    m_skip = 1;

	/* remove after cleanup - this is just for testing */
	skip_point.x = 0.;
	skip_point.y = 0.;
	skip_point.z = 0.;


	/*** TODO: parallelize this loop instead of the LU solver! ***/
	for (skip_index = 0; skip_index < m_skip; skip_index++) {
	    if (params->cv) {
		segtest = 0;
		j = 0;
		xx = point[skip_index].x * dnorm + data->x_orig +
		    params->x_orig;
		yy = point[skip_index].y * dnorm + data->y_orig +
		    params->y_orig;
		zz = point[skip_index].z;
		if (xx >= data->x_orig + params->x_orig &&
		    xx <= data->xmax + params->x_orig &&
		    yy >= data->y_orig + params->y_orig &&
		    yy <= data->ymax + params->y_orig) {
		    segtest = 1;
		    skip_point.x = point[skip_index].x;
		    skip_point.y = point[skip_index].y;
		    skip_point.z = point[skip_index].z;
		    for (k = 0; k < m_skip; k++) {
			if (k != skip_index && params->cv) {
			    data->points[j].x = point[k].x;
			    data->points[j].y = point[k].y;
			    data->points[j].z = point[k].z;
			    j++;
			}
		    }
		}		/* segment area test */
	    }
	    if (!params->cv) {
		if (params->
		    matrix_create(params, data->points, data->n_points,
				  matrix, indx) < 0)
		    return -1;
	    }
	    else if (segtest == 1) {
		if (params->
		    matrix_create(params, data->points, data->n_points - 1,
				  matrix, indx) < 0)
		    return -1;
	    }
	    if (!params->cv) {
		for (i = 0; i < data->n_points; i++)
		    b[i + 1] = data->points[i].z;
		b[0] = 0.;
		G_lubksb(matrix, data->n_points + 1, indx, b);
	/* put here condition to skip error if not needed */
		params->check_points(params, data, b, ertot, zmin, dnorm,
				     skip_point);
	    }
	    else if (segtest == 1) {
		for (i = 0; i < data->n_points - 1; i++)
		    b[i + 1] = data->points[i].z;
		b[0] = 0.;
		G_lubksb(matrix, data->n_points, indx, b);
		params->check_points(params, data, b, ertot, zmin, dnorm,
				     skip_point);
	    }
	}			/*end of cv loop */

	if (!params->cv)
	    if ((params->Tmp_fd_z != NULL) || (params->Tmp_fd_dx != NULL) ||
		(params->Tmp_fd_dy != NULL) || (params->Tmp_fd_xx != NULL) ||
		(params->Tmp_fd_yy != NULL) || (params->Tmp_fd_xy != NULL)) {

		if (params->grid_calc(params, data, bitmask,
				      zmin, zmax, zminac, zmaxac, gmin, gmax,
				      c1min, c1max, c2min, c2max, ertot, b,
				      offset1, dnorm) < 0)
		    return -1;
	    }

	/* show after to catch 100% */
	cursegm++;
	if (totsegm < cursegm)
	    G_debug(1, "%d %d", totsegm, cursegm);
	
	if (totsegm != 0) {
	    G_percent(cursegm, totsegm, 1);
	}
	/* 
	   G_free_matrix(matrix);
	   G_free_ivector(indx);
	   G_free_vector(b);
	 */
	G_free(data->points);
	G_free(data);
    }
    return 1;
}