| 1 |
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| 2 | /****************************************************************************
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| 3 | *
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| 4 | * MODULE: v.surf.idw
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| 5 | * AUTHOR(S): Michael Shapiro, U.S. Army Construction Engineering Research Laboratory
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| 6 | * Improved algorithm (indexes points according to cell and ignores
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| 7 | * points outside current region) by Paul Kelly
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| 8 | * further: Radim Blazek <radim.blazek gmail.com>, Huidae Cho <grass4u gmail.com>,
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| 9 | * Glynn Clements <glynn gclements.plus.com>, Markus Neteler <neteler itc.it>
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| 10 | * OGR support by Martin Landa <landa.martin gmail.com>
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| 11 | * PURPOSE: Surface interpolation from vector point data by Inverse
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| 12 | * Distance Squared Weighting
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| 13 | * COPYRIGHT: (C) 2003-2010 by the GRASS Development Team
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| 14 | *
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| 15 | * This program is free software under the GNU General
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| 16 | * Public License (>=v2). Read the file COPYING that
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| 17 | * comes with GRASS for details.
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| 18 | *
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| 19 | *****************************************************************************/
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| 20 | #include <stdlib.h>
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| 21 | #include <math.h>
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| 22 | #include <grass/gis.h>
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| 23 | #include <grass/raster.h>
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| 24 | #include <grass/glocale.h>
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| 25 | #include "proto.h"
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| 26 |
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| 27 | int search_points = 12;
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| 28 |
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| 29 | long npoints = 0;
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| 30 | long **npoints_currcell;
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| 31 | int nsearch;
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| 32 | static int i;
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| 33 |
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| 34 | struct Point
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| 35 | {
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| 36 | double north, east;
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| 37 | double z;
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| 38 | };
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| 39 | struct list_Point
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| 40 | {
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| 41 | double north, east;
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| 42 | double z;
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| 43 | double dist;
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| 44 | };
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| 45 | struct Point ***points;
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| 46 | struct Point *noidxpoints = NULL;
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| 47 | struct list_Point *list;
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| 48 | static struct Cell_head window;
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| 49 |
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| 50 | int main(int argc, char *argv[])
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| 51 | {
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| 52 | int fd, maskfd;
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| 53 | CELL *mask;
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| 54 | DCELL *dcell;
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| 55 | struct GModule *module;
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| 56 | struct History history;
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| 57 | int row, col;
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| 58 | int searchrow, searchcolumn, pointsfound;
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| 59 | int *shortlistrows = NULL, *shortlistcolumns = NULL;
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| 60 | long ncells = 0;
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| 61 | double north, east;
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| 62 | double dist;
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| 63 | double sum1, sum2, interp_value;
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| 64 | int n;
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| 65 | double p;
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| 66 | struct
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| 67 | {
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| 68 | struct Option *input, *npoints, *power, *output, *dfield, *col;
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| 69 | } parm;
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| 70 | struct
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| 71 | {
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| 72 | struct Flag *noindex;
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| 73 | } flag;
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| 74 | struct cell_list
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| 75 | {
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| 76 | int row, column;
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| 77 | struct cell_list *next;
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| 78 | };
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| 79 | struct cell_list **search_list = NULL, **search_list_start = NULL;
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| 80 | int max_radius, radius;
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| 81 | int searchallpoints = 0;
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| 82 | char *tmpstr1, *tmpstr2;
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| 83 |
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| 84 | G_gisinit(argv[0]);
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| 85 |
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| 86 | module = G_define_module();
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| 87 | G_add_keyword(_("vector"));
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| 88 | G_add_keyword(_("surface"));
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| 89 | G_add_keyword(_("interpolation"));
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| 90 | G_add_keyword(_("IDW"));
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| 91 | module->description =
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| 92 | _("Provides surface interpolation from vector point data by Inverse "
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| 93 | "Distance Squared Weighting.");
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| 94 |
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| 95 | parm.input = G_define_standard_option(G_OPT_V_INPUT);
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| 96 |
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| 97 | parm.dfield = G_define_standard_option(G_OPT_V_FIELD);
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| 98 |
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| 99 | parm.col = G_define_standard_option(G_OPT_DB_COLUMN);
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| 100 | parm.col->required = NO;
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| 101 | parm.col->label = _("Name of attribute column with values to interpolate");
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| 102 | parm.col->description = _("If not given and input is 2D vector map then category values are used. "
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| 103 | "If input is 3D vector map then z-coordinates are used.");
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| 104 | parm.col->guisection = _("Values");
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| 105 |
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| 106 | parm.output = G_define_standard_option(G_OPT_R_OUTPUT);
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| 107 |
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| 108 | parm.npoints = G_define_option();
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| 109 | parm.npoints->key = "npoints";
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| 110 | parm.npoints->key_desc = "count";
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| 111 | parm.npoints->type = TYPE_INTEGER;
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| 112 | parm.npoints->required = NO;
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| 113 | parm.npoints->description = _("Number of interpolation points");
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| 114 | parm.npoints->answer = "12";
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| 115 | parm.npoints->guisection = _("Settings");
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| 116 |
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| 117 | parm.power = G_define_option();
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| 118 | parm.power->key = "power";
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| 119 | parm.power->type = TYPE_DOUBLE;
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| 120 | parm.power->answer = "2.0";
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| 121 | parm.power->label = _("Power parameter");
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| 122 | parm.power->description =
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| 123 | _("Greater values assign greater influence to closer points");
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| 124 | parm.power->guisection = _("Settings");
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| 125 |
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| 126 | flag.noindex = G_define_flag();
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| 127 | flag.noindex->key = 'n';
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| 128 | flag.noindex->label = _("Don't index points by raster cell");
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| 129 | flag.noindex->description = _("Slower but uses"
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| 130 | " less memory and includes points from outside region"
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| 131 | " in the interpolation");
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| 132 | flag.noindex->guisection = _("Settings");
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| 133 |
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| 134 | if (G_parser(argc, argv))
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| 135 | exit(EXIT_FAILURE);
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| 136 |
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| 137 | if (sscanf(parm.npoints->answer, "%d", &search_points) != 1 ||
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| 138 | search_points < 1)
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| 139 | G_fatal_error(_("Illegal number (%s) of interpolation points"),
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| 140 | parm.npoints->answer);
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| 141 |
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| 142 | list =
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| 143 | (struct list_Point *) G_calloc((size_t) search_points,
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| 144 | sizeof(struct list_Point));
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| 145 |
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| 146 | p = atof(parm.power->answer);
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| 147 |
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| 148 | /* get the window, dimension arrays */
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| 149 | G_get_window(&window);
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| 150 |
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| 151 | if (!flag.noindex->answer) {
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| 152 | npoints_currcell = (long **)G_malloc(window.rows * sizeof(long *));
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| 153 | points =
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| 154 | (struct Point ***)G_malloc(window.rows * sizeof(struct Point **));
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| 155 |
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| 156 |
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| 157 | for (row = 0; row < window.rows; row++) {
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| 158 | npoints_currcell[row] =
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| 159 | (long *)G_malloc(window.cols * sizeof(long));
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| 160 | points[row] =
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| 161 | (struct Point **)G_malloc(window.cols *
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| 162 | sizeof(struct Point *));
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| 163 |
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| 164 | for (col = 0; col < window.cols; col++) {
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| 165 | npoints_currcell[row][col] = 0;
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| 166 | points[row][col] = NULL;
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| 167 | }
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| 168 | }
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| 169 | }
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| 170 |
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| 171 | /* read the elevation points from the input sites file */
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| 172 | read_sites(parm.input->answer, parm.dfield->answer,
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| 173 | parm.col->answer, flag.noindex->answer);
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| 174 |
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| 175 | if (npoints == 0)
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| 176 | G_fatal_error(_("No points found"));
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| 177 | nsearch = npoints < search_points ? npoints : search_points;
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| 178 |
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| 179 | if (!flag.noindex->answer) {
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| 180 | /* Arbitrary point to switch between searching algorithms. Could do
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| 181 | * with refinement PK */
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| 182 | if ((window.rows * window.cols) / npoints > 400) {
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| 183 | /* Using old algorithm.... */
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| 184 | searchallpoints = 1;
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| 185 | ncells = 0;
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| 186 |
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| 187 | /* Make an array to contain the row and column indices that have
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| 188 | * sites in them; later will just search through all these. */
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| 189 | for (searchrow = 0; searchrow < window.rows; searchrow++)
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| 190 | for (searchcolumn = 0; searchcolumn < window.cols;
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| 191 | searchcolumn++)
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| 192 | if (npoints_currcell[searchrow][searchcolumn] > 0) {
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| 193 | shortlistrows = (int *)G_realloc(shortlistrows,
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| 194 | (1 +
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| 195 | ncells) *
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| 196 | sizeof(int));
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| 197 | shortlistcolumns =
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| 198 | (int *)G_realloc(shortlistcolumns,
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| 199 | (1 + ncells) * sizeof(int));
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| 200 | shortlistrows[ncells] = searchrow;
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| 201 | shortlistcolumns[ncells] = searchcolumn;
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| 202 | ncells++;
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| 203 | }
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| 204 | }
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| 205 | else {
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| 206 | /* Fill look-up table of row and column offsets for
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| 207 | * doing a circular region growing search looking for sites */
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| 208 | /* Use units of column width */
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| 209 | max_radius = (int)(0.5 + sqrt(window.cols * window.cols +
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| 210 | (window.rows * window.ns_res /
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| 211 | window.ew_res) * (window.rows *
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| 212 | window.ns_res /
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| 213 | window.ew_res)));
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| 214 |
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| 215 | search_list =
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| 216 | (struct cell_list **)G_malloc(max_radius *
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| 217 | sizeof(struct cell_list *));
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| 218 | search_list_start =
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| 219 | (struct cell_list **)G_malloc(max_radius *
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| 220 | sizeof(struct cell_list *));
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| 221 |
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| 222 | for (radius = 0; radius < max_radius; radius++)
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| 223 | search_list[radius] = NULL;
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| 224 |
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| 225 | for (row = 0; row < window.rows; row++)
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| 226 | for (col = 0; col < window.cols; col++) {
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| 227 | radius = (int)sqrt(col * col +
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| 228 | (row * window.ns_res / window.ew_res) *
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| 229 | (row * window.ns_res / window.ew_res));
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| 230 | if (search_list[radius] == NULL)
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| 231 | search_list[radius] =
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| 232 | search_list_start[radius] =
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| 233 | G_malloc(sizeof(struct cell_list));
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| 234 | else
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| 235 | search_list[radius] =
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| 236 | search_list[radius]->next =
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| 237 | G_malloc(sizeof(struct cell_list));
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| 238 |
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| 239 | search_list[radius]->row = row;
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| 240 | search_list[radius]->column = col;
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| 241 | search_list[radius]->next = NULL;
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| 242 | }
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| 243 | }
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| 244 | }
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| 245 |
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| 246 | /* allocate buffers, etc. */
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| 247 |
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| 248 | dcell = Rast_allocate_d_buf();
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| 249 |
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| 250 | if ((maskfd = Rast_maskfd()) >= 0)
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| 251 | mask = Rast_allocate_c_buf();
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| 252 | else
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| 253 | mask = NULL;
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| 254 |
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| 255 |
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| 256 | fd = Rast_open_new(parm.output->answer, DCELL_TYPE);
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| 257 |
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| 258 | /* GTC Count of window rows */
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| 259 | G_asprintf(&tmpstr1, n_("%d row", "%d rows", window.rows), window.rows);
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| 260 | /* GTC Count of window columns */
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| 261 | G_asprintf(&tmpstr2, n_("%d column", "%d columns", window.cols), window.cols);
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| 262 | /* GTC First argument is map name, second - message about number of rows, third - columns. */
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| 263 | G_important_message(_("Interpolating raster map <%s> (%s, %s)..."),
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| 264 | parm.output->answer, tmpstr1, tmpstr2);
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| 265 | G_free(tmpstr1);
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| 266 | G_free(tmpstr2);
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| 267 |
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| 268 | north = window.north + window.ns_res / 2.0;
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| 269 | for (row = 0; row < window.rows; row++) {
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| 270 | G_percent(row, window.rows, 1);
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| 271 |
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| 272 | if (mask)
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| 273 | Rast_get_c_row(maskfd, mask, row);
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| 274 |
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| 275 | north -= window.ns_res;
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| 276 | east = window.west - window.ew_res / 2.0;
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| 277 | for (col = 0; col < window.cols; col++) {
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| 278 | east += window.ew_res;
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| 279 | /* don't interpolate outside of the mask */
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| 280 | if (mask && mask[col] == 0) {
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| 281 | Rast_set_d_null_value(&dcell[col], 1);
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| 282 | continue;
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| 283 | }
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| 284 |
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| 285 | /* If current cell contains more than nsearch points just average
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| 286 | * all the points in this cell and don't look in any others */
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| 287 |
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| 288 | if (!(flag.noindex->answer) && npoints_currcell[row][col] >= nsearch) {
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| 289 | sum1 = 0.0;
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| 290 | for (i = 0; i < npoints_currcell[row][col]; i++)
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| 291 | sum1 += points[row][col][i].z;
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| 292 |
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| 293 | interp_value = sum1 / npoints_currcell[row][col];
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| 294 | }
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| 295 | else {
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| 296 | if (flag.noindex->answer)
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| 297 | calculate_distances_noindex(north, east);
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| 298 | else {
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| 299 | pointsfound = 0;
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| 300 | i = 0;
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| 301 |
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| 302 | if (searchallpoints == 1) {
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| 303 | /* If there aren't many sites just check them all to find
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| 304 | * the nearest */
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| 305 | for (n = 0; n < ncells; n++)
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| 306 | calculate_distances(shortlistrows[n],
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| 307 | shortlistcolumns[n], north,
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| 308 | east, &pointsfound);
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| 309 | }
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| 310 | else {
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| 311 | radius = 0;
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| 312 | while (pointsfound < nsearch) {
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| 313 | /* Keep widening the search window until we find
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| 314 | * enough points */
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| 315 | search_list[radius] = search_list_start[radius];
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| 316 | while (search_list[radius] != NULL) {
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| 317 | /* Always */
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| 318 | if (row <
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| 319 | (window.rows - search_list[radius]->row)
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| 320 | && col <
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| 321 | (window.cols -
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| 322 | search_list[radius]->column)) {
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| 323 | searchrow =
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| 324 | row + search_list[radius]->row;
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| 325 | searchcolumn =
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| 326 | col + search_list[radius]->column;
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| 327 | calculate_distances(searchrow,
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| 328 | searchcolumn, north,
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| 329 | east, &pointsfound);
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| 330 | }
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| 331 |
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| 332 | /* Only if at least one offset is not 0 */
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| 333 | if ((search_list[radius]->row > 0 ||
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| 334 | search_list[radius]->column > 0) &&
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| 335 | row >= search_list[radius]->row &&
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| 336 | col >= search_list[radius]->column) {
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| 337 | searchrow =
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| 338 | row - search_list[radius]->row;
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| 339 | searchcolumn =
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| 340 | col - search_list[radius]->column;
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| 341 | calculate_distances(searchrow,
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| 342 | searchcolumn, north,
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| 343 | east, &pointsfound);
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| 344 | }
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| 345 |
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| 346 | /* Only if both offsets are not 0 */
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| 347 | if (search_list[radius]->row > 0 &&
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| 348 | search_list[radius]->column > 0) {
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| 349 | if (row <
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| 350 | (window.rows -
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| 351 | search_list[radius]->row) &&
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| 352 | col >= search_list[radius]->column) {
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| 353 | searchrow =
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| 354 | row + search_list[radius]->row;
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| 355 | searchcolumn =
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| 356 | col - search_list[radius]->column;
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| 357 | calculate_distances(searchrow,
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| 358 | searchcolumn,
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| 359 | north, east,
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| 360 | &pointsfound);
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| 361 | }
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| 362 | if (row >= search_list[radius]->row &&
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| 363 | col <
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| 364 | (window.cols -
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| 365 | search_list[radius]->column)) {
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| 366 | searchrow =
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| 367 | row - search_list[radius]->row;
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| 368 | searchcolumn =
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| 369 | col + search_list[radius]->column;
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| 370 | calculate_distances(searchrow,
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| 371 | searchcolumn,
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| 372 | north, east,
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| 373 | &pointsfound);
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| 374 | }
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| 375 | }
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| 376 |
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| 377 | search_list[radius] =
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| 378 | search_list[radius]->next;
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| 379 | }
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| 380 | radius++;
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| 381 | }
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| 382 | }
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| 383 | }
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| 384 |
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| 385 | /* interpolate */
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| 386 | sum1 = 0.0;
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| 387 | sum2 = 0.0;
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| 388 | for (n = 0; n < nsearch; n++) {
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| 389 | if ((dist = sqrt(list[n].dist))) {
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| 390 | sum1 += list[n].z / pow(dist, p);
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| 391 | sum2 += 1.0 / pow(dist, p);
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| 392 | }
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| 393 | else {
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| 394 | /* If one site is dead on the centre of the cell, ignore
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| 395 | * all the other sites and just use this value.
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| 396 | * (Unlikely when using floating point numbers?) */
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| 397 | sum1 = list[n].z;
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| 398 | sum2 = 1.0;
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| 399 | break;
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| 400 | }
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| 401 | }
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| 402 | interp_value = sum1 / sum2;
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| 403 | }
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| 404 | dcell[col] = (DCELL) interp_value;
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| 405 | }
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| 406 | Rast_put_d_row(fd, dcell);
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| 407 | }
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| 408 | G_percent(1, 1, 1);
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| 409 |
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| 410 | Rast_close(fd);
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| 411 |
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| 412 | /* writing history file */
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| 413 | Rast_short_history(parm.output->answer, "raster", &history);
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| 414 | Rast_command_history(&history);
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| 415 | Rast_write_history(parm.output->answer, &history);
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| 416 |
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| 417 | G_done_msg(" ");
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| 418 |
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| 419 | exit(EXIT_SUCCESS);
|
|---|
| 420 | }
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| 421 |
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| 422 | void newpoint(double z, double east, double north, int noindex)
|
|---|
| 423 | {
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|---|
| 424 | int row, column;
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|---|
| 425 |
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|---|
| 426 | row = (int)((window.north - north) / window.ns_res);
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|---|
| 427 | column = (int)((east - window.west) / window.ew_res);
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|---|
| 428 |
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|---|
| 429 | if (!noindex) {
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|---|
| 430 | if (row < 0 || row >= window.rows || column < 0 ||
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|---|
| 431 | column >= window.cols) ;
|
|---|
| 432 | else { /* Ignore sites outside current region as can't be indexed */
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|---|
| 433 |
|
|---|
| 434 | points[row][column] =
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|---|
| 435 | (struct Point *)G_realloc(points[row][column],
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|---|
| 436 | (1 +
|
|---|
| 437 | npoints_currcell[row][column]) *
|
|---|
| 438 | sizeof(struct Point));
|
|---|
| 439 | points[row][column][npoints_currcell[row][column]].north = north;
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|---|
| 440 | points[row][column][npoints_currcell[row][column]].east = east;
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|---|
| 441 | points[row][column][npoints_currcell[row][column]].z = z;
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|---|
| 442 | npoints_currcell[row][column]++;
|
|---|
| 443 | npoints++;
|
|---|
| 444 | }
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|---|
| 445 | }
|
|---|
| 446 | else {
|
|---|
| 447 | noidxpoints = (struct Point *)G_realloc(noidxpoints,
|
|---|
| 448 | (1 +
|
|---|
| 449 | npoints) *
|
|---|
| 450 | sizeof(struct Point));
|
|---|
| 451 | noidxpoints[npoints].north = north;
|
|---|
| 452 | noidxpoints[npoints].east = east;
|
|---|
| 453 | noidxpoints[npoints].z = z;
|
|---|
| 454 | npoints++;
|
|---|
| 455 | }
|
|---|
| 456 | }
|
|---|
| 457 |
|
|---|
| 458 | void calculate_distances(int row, int column, double north,
|
|---|
| 459 | double east, int *pointsfound)
|
|---|
| 460 | {
|
|---|
| 461 | int j, n;
|
|---|
| 462 | static int max;
|
|---|
| 463 | double dx, dy, dist;
|
|---|
| 464 | static double maxdist;
|
|---|
| 465 |
|
|---|
| 466 | /* Check distances and find the points to use in interpolation */
|
|---|
| 467 | for (j = 0; j < npoints_currcell[row][column]; j++) {
|
|---|
| 468 | /* fill list with first nsearch points */
|
|---|
| 469 | if (i < nsearch) {
|
|---|
| 470 | dy = points[row][column][j].north - north;
|
|---|
| 471 | dx = points[row][column][j].east - east;
|
|---|
| 472 | list[i].dist = dy * dy + dx * dx;
|
|---|
| 473 | list[i].z = points[row][column][j].z;
|
|---|
| 474 | i++;
|
|---|
| 475 |
|
|---|
| 476 | /* find the maximum distance */
|
|---|
| 477 | if (i == nsearch) {
|
|---|
| 478 | maxdist = list[max = 0].dist;
|
|---|
| 479 | for (n = 1; n < nsearch; n++) {
|
|---|
| 480 | if (maxdist < list[n].dist)
|
|---|
| 481 | maxdist = list[max = n].dist;
|
|---|
| 482 | }
|
|---|
| 483 | }
|
|---|
| 484 | }
|
|---|
| 485 | else {
|
|---|
| 486 |
|
|---|
| 487 | /* go through rest of the points now */
|
|---|
| 488 | dy = points[row][column][j].north - north;
|
|---|
| 489 | dx = points[row][column][j].east - east;
|
|---|
| 490 | dist = dy * dy + dx * dx;
|
|---|
| 491 |
|
|---|
| 492 | if (dist < maxdist) {
|
|---|
| 493 | /* replace the largest dist */
|
|---|
| 494 | list[max].z = points[row][column][j].z;
|
|---|
| 495 | list[max].dist = dist;
|
|---|
| 496 | maxdist = list[max = 0].dist;
|
|---|
| 497 | for (n = 1; n < nsearch; n++) {
|
|---|
| 498 | if (maxdist < list[n].dist)
|
|---|
| 499 | maxdist = list[max = n].dist;
|
|---|
| 500 | }
|
|---|
| 501 | }
|
|---|
| 502 |
|
|---|
| 503 | }
|
|---|
| 504 | }
|
|---|
| 505 | *pointsfound += npoints_currcell[row][column];
|
|---|
| 506 | }
|
|---|
| 507 |
|
|---|
| 508 | void calculate_distances_noindex(double north, double east)
|
|---|
| 509 | {
|
|---|
| 510 | int n, max;
|
|---|
| 511 | double dx, dy, dist;
|
|---|
| 512 | double maxdist;
|
|---|
| 513 |
|
|---|
| 514 | /* fill list with first nsearch points */
|
|---|
| 515 | for (i = 0; i < nsearch; i++) {
|
|---|
| 516 | dy = noidxpoints[i].north - north;
|
|---|
| 517 | dx = noidxpoints[i].east - east;
|
|---|
| 518 | list[i].dist = dy * dy + dx * dx;
|
|---|
| 519 | list[i].z = noidxpoints[i].z;
|
|---|
| 520 | }
|
|---|
| 521 | /* find the maximum distance */
|
|---|
| 522 | maxdist = list[max = 0].dist;
|
|---|
| 523 | for (n = 1; n < nsearch; n++) {
|
|---|
| 524 | if (maxdist < list[n].dist)
|
|---|
| 525 | maxdist = list[max = n].dist;
|
|---|
| 526 | }
|
|---|
| 527 | /* go through rest of the points now */
|
|---|
| 528 | for (; i < npoints; i++) {
|
|---|
| 529 | dy = noidxpoints[i].north - north;
|
|---|
| 530 | dx = noidxpoints[i].east - east;
|
|---|
| 531 | dist = dy * dy + dx * dx;
|
|---|
| 532 |
|
|---|
| 533 | if (dist < maxdist) {
|
|---|
| 534 | /* replace the largest dist */
|
|---|
| 535 | list[max].z = noidxpoints[i].z;
|
|---|
| 536 | list[max].dist = dist;
|
|---|
| 537 | maxdist = list[max = 0].dist;
|
|---|
| 538 | for (n = 1; n < nsearch; n++) {
|
|---|
| 539 | if (maxdist < list[n].dist)
|
|---|
| 540 | maxdist = list[max = n].dist;
|
|---|
| 541 | }
|
|---|
| 542 | }
|
|---|
| 543 | }
|
|---|
| 544 |
|
|---|
| 545 | }
|
|---|