wind_overlap.c

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/*!
 * \file lib/gis/wind_overlap.c
 *
 * \brief GIS Library - Window overlap functions.
 *
 * (C) 2001-2014 by the GRASS Development Team
 *
 * This program is free software under the GNU General Public License
 * (>=v2). Read the file COPYING that comes with GRASS for details.
 *
 * \author GRASS Development Team
 *
 * \date 1999-2014
 */
 
#include <grass/gis.h>
 
/**
 * \brief Determines if a box overlays a map window.
 *
 * Given a map <b>window</b>, and a box of <b>N</b>,<b>S</b>,<b>E</b>,<b>W</b>
 * does the box overlap the map <b>window</b>?<br>
 *
 * Note: knows about global wrap-around for lat-long.
 *
 * \param[in] window pointer to window structure
 * \param[in] N north
 * \param[in] S south
 * \param[in] E east
 * \param[in] W west
 * \return 1 if box overlaps window
 * \return 0 if box does not overlap window
 */
int G_window_overlap(const struct Cell_head *window, double N, double S,
                     double E, double W)
{
    if (window->north <= S)
        return 0;
    if (window->south >= N)
        return 0;
 
    if (window->proj == PROJECTION_LL) {
        while (E < window->west) {
            E += 360.0;
            W += 360.0;
        }
        while (W > window->east) {
            E -= 360.0;
            W -= 360.0;
        }
    }
 
    if (window->east <= W)
        return 0;
    if (window->west >= E)
        return 0;
 
    return 1;
}
 
/**
 * \brief Determines percentage of box is contained in the <b>window</b>.
 *
 * This version returns the percentage (from 0 to 1) of the box
 * contained in the window. This feature can be used during vector
 * plotting to decide if it is more efficient to do a level-one
 * read of the whole vector map, or to pay the price of a
 * level-two startup so only those arcs that enter the window are
 * actually read.
 *
 * \param[in] window pointer to window structure
 * \param[in] N north
 * \param[in] S south
 * \param[in] E east
 * \param[in] W west
 * \return percentage of overlap
 */
double G_window_percentage_overlap(const struct Cell_head *window, double N,
                                   double S, double E, double W)
{
    double V, H;
    double n, s, e, w;
    double shift;
 
    /* vertical height of the box that overlaps the window */
    if ((n = window->north) > N)
        n = N;
    if ((s = window->south) < S)
        s = S;
    V = n - s;
 
    if (N == S) {
        V = (N < window->north && N > window->south);
        N = 1;
        S = 0;
    }
 
    if (V <= 0.0)
        return 0.0;
 
    /* global wrap-around, part 1 */
    if (window->proj == PROJECTION_LL) {
        shift = 0.0;
        while (E + shift > window->east)
            shift -= 360.0;
        while (E + shift < window->west)
            shift += 360.0;
        E += shift;
        W += shift;
    }
 
    /* horizontal width of the box that overlaps the window */
    if ((e = window->east) > E)
        e = E;
    if ((w = window->west) < W)
        w = W;
    H = e - w;
    if (W == E)
        H = (E > window->west && E < window->east);
    if (H <= 0.0)
        return 0.0;
 
    /* global wrap-around, part 2 */
    if (window->proj == PROJECTION_LL) {
        shift = 0.0;
        while (W + shift < window->west)
            shift += 360.0;
        while (W + shift > window->east)
            shift -= 360.0;
        if (shift) {
            E += shift;
            W += shift;
            if ((e = window->east) > E)
                e = E;
            if ((w = window->west) < W)
                w = W;
            H += e - w;
        }
    }
    if (W == E) {
        W = 0;
        E = 1;
    }
 
    return (H * V) / ((N - S) * (E - W));
}