src/video/SDL_rect.c

/*
    SDL - Simple DirectMedia Layer
    Copyright (C) 1997-2010 Sam Lantinga

    This library 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 2.1 of the License, or (at your option) any later version.

    This library 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 this library; if not, write to the Free Software
    Foundation, Inc., 51 Franklin St, Fifth Floor, Boston, MA  02110-1301  USA

    Sam Lantinga
    slouken@libsdl.org
*/
#include "SDL_config.h"

#include "SDL_rect.h"

SDL_bool
SDL_HasIntersection(const SDL_Rect * A, const SDL_Rect * B)
{
    int Amin, Amax, Bmin, Bmax;

    /* Horizontal intersection */
    Amin = A->x;
    Amax = Amin + A->w;
    Bmin = B->x;
    Bmax = Bmin + B->w;
    if (Bmin > Amin)
        Amin = Bmin;
    if (Bmax < Amax)
        Amax = Bmax;
    if (Amax <= Amin)
        return SDL_FALSE;

    /* Vertical intersection */
    Amin = A->y;
    Amax = Amin + A->h;
    Bmin = B->y;
    Bmax = Bmin + B->h;
    if (Bmin > Amin)
        Amin = Bmin;
    if (Bmax < Amax)
        Amax = Bmax;
    if (Amax <= Amin)
        return SDL_FALSE;

    return SDL_TRUE;
}

SDL_bool
SDL_IntersectRect(const SDL_Rect * A, const SDL_Rect * B, SDL_Rect * result)
{
    int Amin, Amax, Bmin, Bmax;

    /* Horizontal intersection */
    Amin = A->x;
    Amax = Amin + A->w;
    Bmin = B->x;
    Bmax = Bmin + B->w;
    if (Bmin > Amin)
        Amin = Bmin;
    result->x = Amin;
    if (Bmax < Amax)
        Amax = Bmax;
    result->w = Amax - Amin;

    /* Vertical intersection */
    Amin = A->y;
    Amax = Amin + A->h;
    Bmin = B->y;
    Bmax = Bmin + B->h;
    if (Bmin > Amin)
        Amin = Bmin;
    result->y = Amin;
    if (Bmax < Amax)
        Amax = Bmax;
    result->h = Amax - Amin;

    return !SDL_RectEmpty(result);
}

void
SDL_UnionRect(const SDL_Rect * A, const SDL_Rect * B, SDL_Rect * result)
{
    int Amin, Amax, Bmin, Bmax;

    /* Horizontal union */
    Amin = A->x;
    Amax = Amin + A->w;
    Bmin = B->x;
    Bmax = Bmin + B->w;
    if (Bmin < Amin)
        Amin = Bmin;
    result->x = Amin;
    if (Bmax > Amax)
        Amax = Bmax;
    result->w = Amax - Amin;

    /* Vertical intersection */
    Amin = A->y;
    Amax = Amin + A->h;
    Bmin = B->y;
    Bmax = Bmin + B->h;
    if (Bmin < Amin)
        Amin = Bmin;
    result->y = Amin;
    if (Bmax > Amax)
        Amax = Bmax;
    result->h = Amax - Amin;
}

SDL_bool
SDL_EnclosePoints(const SDL_Point * points, int count, const SDL_Rect * clip,
                  SDL_Rect * result)
{
    int minx = 0;
    int miny = 0;
    int maxx = 0;
    int maxy = 0;
    int x, y, i;

    if (count < 1) {
        return SDL_FALSE;
    }

    if (clip) {
        SDL_bool added = SDL_FALSE;
        int clip_minx = clip->x;
        int clip_miny = clip->y;
        int clip_maxx = clip->x+clip->w-1;
        int clip_maxy = clip->y+clip->h-1;

        for (i = 0; i < count; ++i) {
            x = points[i].x;
            y = points[i].y;

            if (x < clip_minx || x > clip_maxx ||
                y < clip_miny || y > clip_maxy) {
                continue;
            }
            if (!added) {
                minx = maxx = x;
                miny = maxy = y;
                added = SDL_TRUE;
                continue;
            }
            if (x < minx) {
                minx = x;
            } else if (x > maxx) {
                maxx = x;
            }
            if (y < miny) {
                miny = y;
            } else if (y > maxy) {
                maxy = y;
            }
        }
        if (!added) {
            return SDL_FALSE;
        }
    } else {
        /* No clipping, always add the first point */
        minx = maxx = points[0].x;
        miny = maxy = points[0].y;

        for (i = 1; i < count; ++i) {
            x = points[i].x;
            y = points[i].y;

            if (x < minx) {
                minx = x;
            } else if (x > maxx) {
                maxx = x;
            }
            if (y < miny) {
                miny = y;
            } else if (y > maxy) {
                maxy = y;
            }
        }
    }

    if (result) {
        result->x = minx;
        result->y = miny;
        result->w = (maxx-minx)+1;
        result->h = (maxy-miny)+1;
    }
    return SDL_TRUE;
}

/* Use the Cohen-Sutherland algorithm for line clipping */
#define CODE_BOTTOM 1
#define CODE_TOP    2
#define CODE_LEFT   4
#define CODE_RIGHT  8

static int ComputeOutCode(const SDL_Rect * rect, int x, int y)
{
    int code = 0;
    if (y < 0) {
        code |= CODE_TOP;
    } else if (y >= rect->y + rect->h) {
        code |= CODE_BOTTOM;
    }
    if (x < 0) {
        code |= CODE_LEFT;
    } else if (x >= rect->x + rect->w) {
        code |= CODE_RIGHT;
    }
    return code;
}

SDL_bool
SDL_IntersectRectAndLine(const SDL_Rect * rect, int *X1, int *Y1, int *X2,
                         int *Y2)
{
    int x = 0;
    int y = 0;
    int x1, y1;
    int x2, y2;
    int rectx1;
    int recty1;
    int rectx2;
    int recty2;
    int outcode1, outcode2;

    if (!rect || !X1 || !Y1 || !X2 || !Y2) {
        return SDL_FALSE;
    }

    x1 = *X1;
    y1 = *Y1;
    x2 = *X2;
    y2 = *Y2;
    rectx1 = rect->x;
    recty1 = rect->y;
    rectx2 = rect->x + rect->w - 1;
    recty2 = rect->y + rect->h - 1;

    /* Check to see if entire line is inside rect */
    if (x1 >= rectx1 && x1 <= rectx2 && x2 >= rectx1 && x2 <= rectx2 &&
        y1 >= recty1 && y1 <= recty2 && y2 >= recty1 && y2 <= recty2) {
        return SDL_TRUE;
    }

    /* Check to see if entire line is to one side of rect */
    if ((x1 < rectx1 && x2 < rectx1) || (x1 > rectx2 && x2 > rectx2) ||
        (y1 < recty1 && y2 < recty1) || (y1 > recty2 && y2 > recty2)) {
        return SDL_FALSE;
    }

    if (y1 == y2) {
        /* Horizontal line, easy to clip */
        if (x1 < rectx1) {
            *X1 = rectx1;
        } else if (x1 > rectx2) {
            *X1 = rectx2;
        }
        if (x2 < rectx1) {
            *X2 = rectx1;
        } else if (x2 > rectx2) {
            *X2 = rectx2;
        }
        return SDL_TRUE;
    }

    if (x1 == x2) {
        /* Vertical line, easy to clip */
        if (y1 < recty1) {
            *Y1 = recty1;
        } else if (y1 > recty2) {
            *Y1 = recty2;
        }
        if (y2 < recty1) {
            *Y2 = recty1;
        } else if (y2 > recty2) {
            *Y2 = recty2;
        }
        return SDL_TRUE;
    }

    /* More complicated Cohen-Sutherland algorithm */
    outcode1 = ComputeOutCode(rect, x1, y1);
    outcode2 = ComputeOutCode(rect, x2, y2);
    while (outcode1 || outcode2) {
        if (outcode1 & outcode2) {
            return SDL_FALSE;
        }

        if (outcode1) {
            if (outcode1 & CODE_TOP) {
                y = recty1;
                x = x1 + ((x2 - x1) * (y - y1)) / (y2 - y1);
            } else if (outcode1 & CODE_BOTTOM) {
                y = recty2;
                x = x1 + ((x2 - x1) * (y - y1)) / (y2 - y1);
            } else if (outcode1 & CODE_LEFT) {
                x = rectx1;
                y = y1 + ((y2 - y1) * (x - x1)) / (x2 - x1);
            } else if (outcode1 & CODE_RIGHT) {
                x = rectx2;
                y = y1 + ((y2 - y1) * (x - x1)) / (x2 - x1);
            }
            x1 = x;
            y1 = y;
            outcode1 = ComputeOutCode(rect, x, y);
        } else {
            if (outcode2 & CODE_TOP) {
                y = recty1;
                x = x1 + ((x2 - x1) * (y - y1)) / (y2 - y1);
            } else if (outcode2 & CODE_BOTTOM) {
                y = recty2;
                x = x1 + ((x2 - x1) * (y - y1)) / (y2 - y1);
            } else if (outcode2 & CODE_LEFT) {
                x = rectx1;
                y = y1 + ((y2 - y1) * (x - x1)) / (x2 - x1);
            } else if (outcode2 & CODE_RIGHT) {
                x = rectx2;
                y = y1 + ((y2 - y1) * (x - x1)) / (x2 - x1);
            }
            x2 = x;
            y2 = y;
            outcode2 = ComputeOutCode(rect, x, y);
        }
    }
    *X1 = x1;
    *Y1 = y1;
    *X2 = x2;
    *Y2 = y2;
    return SDL_TRUE;
}

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