Remove copied comments from geo_ops.c source file and replace with new
comments, and cleanup functions. Remove copyright that is no longer relevant.
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@ -8,7 +8,7 @@
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*
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*
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* IDENTIFICATION
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* $PostgreSQL: pgsql/src/backend/utils/adt/geo_ops.c,v 1.95 2007/02/27 23:48:08 tgl Exp $
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* $PostgreSQL: pgsql/src/backend/utils/adt/geo_ops.c,v 1.96 2007/03/05 23:29:14 momjian Exp $
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*
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*-------------------------------------------------------------------------
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*/
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@ -5063,128 +5063,126 @@ poly_circle(PG_FUNCTION_ARGS)
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***********************************************************************/
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/*
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* Test to see if the point is inside the polygon.
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* Code adapted from integer-based routines in WN: A Server for the HTTP
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* Test to see if the point is inside the polygon, returns 1/0, or 2 if
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* the point is on the polygon.
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* Code adapted but not copied from integer-based routines in WN: A
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* Server for the HTTP
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* version 1.15.1, file wn/image.c
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* GPL Copyright (C) 1995 by John Franks
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* http://hopf.math.northwestern.edu/index.html
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* Description of algorithm: http://www.linuxjournal.com/article/2197
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* http://www.linuxjournal.com/article/2029
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*/
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#define HIT_IT INT_MAX
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#define POINT_ON_POLYGON INT_MAX
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static int
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point_inside(Point *p, int npts, Point *plist)
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{
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double x0,
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y0;
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double px,
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py;
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int i;
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double prev_x,
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prev_y;
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int i = 0;
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double x,
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y;
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int cross,
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crossnum;
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int cross, total_cross = 0;
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/*
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* We calculate crossnum, which is twice the crossing number of a
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* ray from the origin parallel to the positive X axis.
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* A coordinate change is made to move the test point to the origin.
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* Then the function lseg_crossing() is called to calculate the crossnum of
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* one segment of the translated polygon with the ray which is the
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* positive X-axis.
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*/
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crossnum = 0;
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i = 0;
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if (npts <= 0)
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return 0;
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/* compute first polygon point relative to single point */
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x0 = plist[0].x - p->x;
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y0 = plist[0].y - p->y;
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px = x0;
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py = y0;
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prev_x = x0;
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prev_y = y0;
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/* loop over polygon points and aggregate total_cross */
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for (i = 1; i < npts; i++)
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{
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/* compute next polygon point relative to single point */
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x = plist[i].x - p->x;
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y = plist[i].y - p->y;
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if ((cross = lseg_crossing(x, y, px, py)) == HIT_IT)
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/* compute previous to current point crossing */
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if ((cross = lseg_crossing(x, y, prev_x, prev_y)) == POINT_ON_POLYGON)
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return 2;
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crossnum += cross;
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px = x;
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py = y;
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total_cross += cross;
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prev_x = x;
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prev_y = y;
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}
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if ((cross = lseg_crossing(x0, y0, px, py)) == HIT_IT)
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/* now do the first point */
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if ((cross = lseg_crossing(x0, y0, prev_x, prev_y)) == POINT_ON_POLYGON)
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return 2;
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crossnum += cross;
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if (crossnum != 0)
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total_cross += cross;
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if (total_cross != 0)
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return 1;
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return 0;
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}
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/* lseg_crossing()
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* The function lseg_crossing() returns +2, or -2 if the segment from (x,y)
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* to previous (x,y) crosses the positive X-axis positively or negatively.
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* It returns +1 or -1 if one endpoint is on this ray, or 0 if both are.
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* It returns 0 if the ray and the segment don't intersect.
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* It returns HIT_IT if the segment contains (0,0)
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* Returns +/-2 if line segment crosses the positive X-axis in a +/- direction.
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* Returns +/-1 if one point is on the positive X-axis.
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* Returns 0 if both points are on the positive X-axis, or there is no crossing.
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* Returns POINT_ON_POLYGON if the segment contains (0,0).
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* Wow, that is one confusing API, but it is used above, and when summed,
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* can tell is if a point is in a polygon.
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*/
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static int
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lseg_crossing(double x, double y, double px, double py)
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lseg_crossing(double x, double y, double prev_x, double prev_y)
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{
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double z;
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int sgn;
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/* If (px,py) = (0,0) and not first call we have already sent HIT_IT */
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int y_sign;
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if (FPzero(y))
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{
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if (FPzero(x))
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{
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return HIT_IT;
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}
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{ /* y == 0, on X axis */
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if (FPzero(x)) /* (x,y) is (0,0)? */
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return POINT_ON_POLYGON;
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else if (FPgt(x, 0))
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{
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if (FPzero(py))
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return FPgt(px, 0) ? 0 : HIT_IT;
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return FPlt(py, 0) ? 1 : -1;
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{ /* x > 0 */
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if (FPzero(prev_y)) /* y and prev_y are zero */
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/* prev_x > 0? */
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return FPgt(prev_x, 0) ? 0 : POINT_ON_POLYGON;
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return FPlt(prev_y, 0) ? 1 : -1;
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}
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else
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{ /* x < 0 */
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if (FPzero(py))
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return FPlt(px, 0) ? 0 : HIT_IT;
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{ /* x < 0, x not on positive X axis */
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if (FPzero(prev_y))
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/* prev_x < 0? */
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return FPlt(prev_x, 0) ? 0 : POINT_ON_POLYGON;
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return 0;
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}
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}
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/* Now we know y != 0; set sgn to sign of y */
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sgn = (FPgt(y, 0) ? 1 : -1);
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if (FPzero(py))
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return FPlt(px, 0) ? 0 : sgn;
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if (FPgt((sgn * py), 0))
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{ /* y and py have same sign */
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return 0;
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}
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else
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{ /* y and py have opposite signs */
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if (FPge(x, 0) && FPgt(px, 0))
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return 2 * sgn;
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if (FPlt(x, 0) && FPle(px, 0))
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return 0;
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{ /* y != 0 */
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/* compute y crossing direction from previous point */
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y_sign = FPgt(y, 0) ? 1 : -1;
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z = (x - px) * y - (y - py) * x;
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if (FPzero(z))
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return HIT_IT;
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return FPgt((sgn * z), 0) ? 0 : 2 * sgn;
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if (FPzero(prev_y))
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/* previous point was on X axis, so new point is either off or on */
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return FPlt(prev_x, 0) ? 0 : y_sign;
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else if (FPgt(y_sign * prev_y, 0))
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/* both above or below X axis */
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return 0; /* same sign */
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else
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{ /* y and prev_y cross X-axis */
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if (FPge(x, 0) && FPgt(prev_x, 0))
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/* both non-negative so cross positive X-axis */
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return 2 * y_sign;
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if (FPlt(x, 0) && FPle(prev_x, 0))
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/* both non-positive so do not cross positive X-axis */
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return 0;
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/* x and y cross axises, see URL above point_inside() */
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z = (x - prev_x) * y - (y - prev_y) * x;
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if (FPzero(z))
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return POINT_ON_POLYGON;
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return FPgt((y_sign * z), 0) ? 0 : 2 * y_sign;
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}
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}
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}
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