File: polygon.c

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

#include <grass/gis.h>
#include "driverlib.h"
#include "htmlmap.h"

#define RAD_DEG M_R2D

static void delete_point(int *x, int *y, int count)
{
    int i;

    for (i = 0; i < count; i++) {
        x[i] = x[i + 1];
        y[i] = y[i + 1];
    }
}

static double find_azimuth(double x1, double y1, double x2, double y2)
{
    double xx, yy;

    xx = x1 - x2;
    yy = y1 - y2;

    if (x1 == x2) {
        return (y2 > y1) ? 90.0 : 270.0;
    }
    else {
        if (y2 < y1) {
            if (x2 > x1) {
                return 360.0 + (RAD_DEG * atan(yy / xx));
            }
            else {
                return 180.0 + (RAD_DEG * atan(yy / xx));
            }
        }
        else {
            if (x2 > x1) {
                return (RAD_DEG * atan(yy / xx));
            }
            else {
                return 180.0 + (RAD_DEG * atan(yy / xx));
            }
        }
    }
}

void html_polygon(const struct path *p)
{
    int n = p->count;
    struct MapPoly *new;
    int i;
    int delta_x, delta_y;
    int min_x, max_x, min_y, max_y;

    double min_azimuth = 1.0;
    double azimuth1, azimuth2, diff1, diff2;
    int *x = G_malloc(n * sizeof(int));
    int *y = G_malloc(n * sizeof(int));

    for (i = 0; i < n; i++) {
        x[i] = (int)floor(p->vertices[i].x + 0.5);
        y[i] = (int)floor(p->vertices[i].y + 0.5);
    }

    /*
     * remove points that have adjacent duplicates or have differences of
     * less the the minimum allowed.  remove end points that are same as
     * the begin point (ending point = starting point is added
     * during Graph_Clse)
     */

    i = 0;
    while (i < (n - 1)) {
        delta_x = x[i] - x[i + 1];
        if (delta_x < 0)
            delta_x = -delta_x;
        delta_y = y[i] - y[i + 1];
        if (delta_y < 0)
            delta_y = -delta_y;

        if ((x[i] == x[i + 1] && y[i] == y[i + 1]) ||
            (delta_x <= html.MINIMUM_DIST && delta_y <= html.MINIMUM_DIST)) {
            delete_point(&x[i + 1], &y[i + 1], n - i - 1);
            --n;
        }
        else {
            ++i;
        }
    }

    /* perform same checks for last point & first point */
    while (1) {
        delta_x = x[0] - x[n - 1];
        if (delta_x < 0)
            delta_x = -delta_x;
        delta_y = y[0] - y[n - 1];
        if (delta_y < 0)
            delta_y = -delta_y;

        if ((x[0] == x[n - 1] && y[0] == y[n - 1]) ||
            (delta_x <= html.MINIMUM_DIST && delta_y <= html.MINIMUM_DIST)) {
            --n;
        }
        else {
            break;
        }
    }

    /*
     * if a polygon has either x or y extents less than the bounding box
     * minimum, ignore it
     *
     */

    min_x = max_x = x[0];
    min_y = max_y = y[0];
    for (i = 0; i < n; i++) {
        if (x[i] < min_x)
            min_x = x[i];
        if (x[i] > max_x)
            max_x = x[i];
        if (y[i] < min_y)
            min_y = y[i];
        if (y[i] > max_y)
            max_y = y[i];
    }
    delta_x = max_x - min_x;
    delta_y = max_y - min_y;
    if (delta_x < html.BBOX_MINIMUM || delta_y < html.BBOX_MINIMUM) {
        n = 0;
    }

    /*
     * remove points in excess of MAX_POINTS vertices
     */

    while (n > html.MAX_POINTS) {

        for (i = 0; i < (n - 2); i++) {

            /*
             * see if middle point can be removed, by checking if the
             * relative bearing to the middle is less than our current tolerance
             */

            azimuth1 = find_azimuth((double)x[i], (double)y[i],
                                    (double)x[i + 1], (double)y[i + 1]);
            azimuth2 = find_azimuth((double)x[i], (double)y[i],
                                    (double)x[i + 2], (double)y[i + 2]);

            diff1 = fmod(fabs((azimuth2 + 360.0) - azimuth1), 360.0);
            diff2 = fmod(fabs((azimuth1 + 360.0) - azimuth2), 360.0);

            if (diff1 <= min_azimuth || diff2 <= min_azimuth) {

                delete_point(&x[i + 1], &y[i + 1], n - i - 1);
                --n;
                ++i;
                /* either stop deleting points because we're less than 100,
                   or keep deleting points with the same difference as this
                   one (which might make a smaller polygon yet).
                   if (n <= 100) {
                   break;
                   }
                 */
            }
        }

        /* increase minimum azimuth difference for next round */
        min_azimuth += 1.0;
    }

    /*
     * copy remaining points into a new MapPoly
     */

    if (n >= 3) {

        new = (struct MapPoly *)G_malloc(sizeof(struct MapPoly));

        /* grab the last text string written as url */
        new->url = G_store(html.last_text);

        /* hook up new MapPoly into list */
        new->next_poly = NULL;
        *html.tail = new;
        html.tail = &(new->next_poly);

        new->num_pts = n;
        new->x_pts = x;
        new->y_pts = y;
    }
    else {
        G_free(x);
        G_free(y);
    }
}