int gbox_union(const GBOX *g1, const GBOX *g2, GBOX *gout)
{
if ( ( ! g1 ) && ( ! g2 ) )
return LW_FALSE;
if ( ! g1 )
{
memcpy(gout, g2, sizeof(GBOX));
return LW_TRUE;
}
if ( ! g2 )
{
memcpy(gout, g1, sizeof(GBOX));
return LW_TRUE;
}
gout->flags = g1->flags;
gout->xmin = FP_MIN(g1->xmin, g2->xmin);
gout->xmax = FP_MAX(g1->xmax, g2->xmax);
gout->ymin = FP_MIN(g1->ymin, g2->ymin);
gout->ymax = FP_MAX(g1->ymax, g2->ymax);
gout->zmin = FP_MIN(g1->zmin, g2->zmin);
gout->zmax = FP_MAX(g1->zmax, g2->zmax);
return LW_TRUE;
}
static int lw_arc_calculate_gbox_cartesian(const POINT4D *p1, const POINT4D *p2, const POINT4D *p3, GBOX *gbox)
{
int rv;
LWDEBUG(2, "lw_arc_calculate_gbox_cartesian called.");
rv = lw_arc_calculate_gbox_cartesian_2d((POINT2D*)p1, (POINT2D*)p2, (POINT2D*)p3, gbox);
gbox->zmin = FP_MIN(p1->z, p3->z);
gbox->mmin = FP_MIN(p1->m, p3->m);
gbox->zmax = FP_MAX(p1->z, p3->z);
gbox->mmax = FP_MAX(p1->m, p3->m);
return rv;
}
int ptarray_calculate_gbox_cartesian(const POINTARRAY *pa, GBOX *gbox )
{
int i;
POINT4D p;
int has_z, has_m;
if ( ! pa ) return LW_FAILURE;
if ( ! gbox ) return LW_FAILURE;
if ( pa->npoints < 1 ) return LW_FAILURE;
has_z = FLAGS_GET_Z(pa->flags);
has_m = FLAGS_GET_M(pa->flags);
gbox->flags = gflags(has_z, has_m, 0);
LWDEBUGF(4, "ptarray_calculate_gbox Z: %d M: %d", has_z, has_m);
getPoint4d_p(pa, 0, &p);
gbox->xmin = gbox->xmax = p.x;
gbox->ymin = gbox->ymax = p.y;
if ( has_z )
gbox->zmin = gbox->zmax = p.z;
if ( has_m )
gbox->mmin = gbox->mmax = p.m;
for ( i = 1 ; i < pa->npoints; i++ )
{
getPoint4d_p(pa, i, &p);
gbox->xmin = FP_MIN(gbox->xmin, p.x);
gbox->xmax = FP_MAX(gbox->xmax, p.x);
gbox->ymin = FP_MIN(gbox->ymin, p.y);
gbox->ymax = FP_MAX(gbox->ymax, p.y);
if ( has_z )
{
gbox->zmin = FP_MIN(gbox->zmin, p.z);
gbox->zmax = FP_MAX(gbox->zmax, p.z);
}
if ( has_m )
{
gbox->mmin = FP_MIN(gbox->mmin, p.m);
gbox->mmax = FP_MAX(gbox->mmax, p.m);
}
}
return LW_SUCCESS;
}
int lw_segment_envelope_intersects(const POINT2D *p1, const POINT2D *p2, const POINT2D *q1, const POINT2D *q2)
{
double minq=FP_MIN(q1->x,q2->x);
double maxq=FP_MAX(q1->x,q2->x);
double minp=FP_MIN(p1->x,p2->x);
double maxp=FP_MAX(p1->x,p2->x);
if (FP_GT(minp,maxq) || FP_LT(maxp,minq))
return LW_FALSE;
minq=FP_MIN(q1->y,q2->y);
maxq=FP_MAX(q1->y,q2->y);
minp=FP_MIN(p1->y,p2->y);
maxp=FP_MAX(p1->y,p2->y);
if (FP_GT(minp,maxq) || FP_LT(maxp,minq))
return LW_FALSE;
return LW_TRUE;
}
/**
* This function doesn't work for edges crossing the dateline or in the southern
* hemisphere. Points are pre-conditioned in ptarray_area_spheroid.
*/
static double spheroid_striparea(const GEOGRAPHIC_POINT *a, const GEOGRAPHIC_POINT *b, double latitude_min, const SPHEROID *spheroid)
{
GEOGRAPHIC_POINT A, B, mL, nR;
double deltaLng, baseArea, topArea;
double bE, tE, ratio, sign;
A = *a;
B = *b;
mL.lat = latitude_min;
mL.lon = FP_MIN(A.lon, B.lon);
nR.lat = FP_MIN(A.lat, B.lat);
nR.lon = FP_MAX(A.lon, B.lon);
LWDEBUGF(4, "mL (%.12g %.12g)", mL.lat, mL.lon);
LWDEBUGF(4, "nR (%.12g %.12g)", nR.lat, nR.lon);
baseArea = spheroid_boundingbox_area(&mL, &nR, spheroid);
LWDEBUGF(4, "baseArea %.12g", baseArea);
mL.lat = FP_MIN(A.lat, B.lat);
mL.lon = FP_MIN(A.lon, B.lon);
nR.lat = FP_MAX(A.lat, B.lat);
nR.lon = FP_MAX(A.lon, B.lon);
LWDEBUGF(4, "mL (%.12g %.12g)", mL.lat, mL.lon);
LWDEBUGF(4, "nR (%.12g %.12g)", nR.lat, nR.lon);
topArea = spheroid_boundingbox_area(&mL, &nR, spheroid);
LWDEBUGF(4, "topArea %.12g", topArea);
deltaLng = B.lon - A.lon;
LWDEBUGF(4, "deltaLng %.12g", deltaLng);
bE = spheroid_parallel_arc_length(A.lat, deltaLng, spheroid);
tE = spheroid_parallel_arc_length(B.lat, deltaLng, spheroid);
LWDEBUGF(4, "bE %.12g", bE);
LWDEBUGF(4, "tE %.12g", tE);
ratio = (bE + tE)/tE;
sign = signum(B.lon - A.lon);
return (baseArea + topArea / ratio) * sign;
}
int ptarray_calculate_gbox(const POINTARRAY *pa, GBOX *gbox )
{
int i;
POINT4D p;
int has_z = FLAGS_GET_Z(gbox->flags);
int has_m = FLAGS_GET_M(gbox->flags);
if ( ! pa ) return G_FAILURE;
if ( pa->npoints < 1 ) return G_FAILURE;
getPoint4d_p(pa, 0, &p);
gbox->xmin = gbox->xmax = p.x;
gbox->ymin = gbox->ymax = p.y;
if ( has_z )
gbox->zmin = gbox->zmax = p.z;
if ( has_m )
gbox->mmin = gbox->mmax = p.m;
for ( i = 1 ; i < pa->npoints; i++ )
{
getPoint4d_p(pa, i, &p);
gbox->xmin = FP_MIN(gbox->xmin, p.x);
gbox->xmax = FP_MAX(gbox->xmax, p.x);
gbox->ymin = FP_MIN(gbox->ymin, p.y);
gbox->ymax = FP_MAX(gbox->ymax, p.y);
if ( has_z )
{
gbox->zmin = FP_MIN(gbox->zmin, p.z);
gbox->zmax = FP_MAX(gbox->zmax, p.z);
}
if ( has_m )
{
gbox->mmin = FP_MIN(gbox->mmin, p.m);
gbox->mmax = FP_MAX(gbox->mmax, p.m);
}
}
return G_SUCCESS;
}
static int
segment_locate_along(const POINT4D *p1, const POINT4D *p2, double m, double offset, POINT4D *pn)
{
double m1 = p1->m;
double m2 = p2->m;
double mprop;
/* M is out of range, no new point generated. */
if ( (m < FP_MIN(m1,m2)) || (m > FP_MAX(m1,m2)) )
{
return LW_FALSE;
}
/* We'll just can out on this degenerate case for now.
Correct behavior is probably an mprop of 0.5?
Still would have to deal with case of true p1==p2. */
if( m1 == m2 )
{
lwerror("Zero measure-length line encountered!");
}
/* M is in range, new point to be generated. */
mprop = (m - m1) / (m2 - m1);
pn->x = p1->x + (p2->x - p1->x) * mprop;
pn->y = p1->y + (p2->y - p1->y) * mprop;
pn->z = p1->z + (p2->z - p1->z) * mprop;
pn->m = m;
/* Offset to the left or right, if necessary. */
if ( offset != 0.0 )
{
double theta = atan2(p2->y - p1->y, p2->x - p1->x);
pn->x -= sin(theta) * offset;
pn->y += cos(theta) * offset;
}
return LW_TRUE;
}
/**
* Given two points, a dimensionality, an ordinate, and an interpolation value
* generate a new point that is proportionally between the input points,
* using the values in the provided dimension as the scaling factors.
*/
int point_interpolate(const POINT4D *p1, const POINT4D *p2, POINT4D *p, int hasz, int hasm, char ordinate, double interpolation_value)
{
static char* dims = "XYZM";
double p1_value = lwpoint_get_ordinate(p1, ordinate);
double p2_value = lwpoint_get_ordinate(p2, ordinate);
double proportion;
int i = 0;
if ( ! ( ordinate == 'X' || ordinate == 'Y' || ordinate == 'Z' || ordinate == 'M' ) )
{
lwerror("Cannot set %c ordinate.", ordinate);
return 0;
}
if ( FP_MIN(p1_value, p2_value) > interpolation_value ||
FP_MAX(p1_value, p2_value) < interpolation_value )
{
lwerror("Cannot interpolate to a value (%g) not between the input points (%g, %g).", interpolation_value, p1_value, p2_value);
return 0;
}
proportion = fabs((interpolation_value - p1_value) / (p2_value - p1_value));
for ( i = 0; i < 4; i++ )
{
double newordinate = 0.0;
if ( dims[i] == 'Z' && ! hasz ) continue;
if ( dims[i] == 'M' && ! hasm ) continue;
p1_value = lwpoint_get_ordinate(p1, dims[i]);
p2_value = lwpoint_get_ordinate(p2, dims[i]);
newordinate = p1_value + proportion * (p2_value - p1_value);
lwpoint_set_ordinate(p, dims[i], newordinate);
LWDEBUGF(4, " clip ordinate(%c) p1_value(%g) p2_value(%g) proportion(%g) newordinate(%g) ", dims[i], p1_value, p2_value, proportion, newordinate );
}
return 1;
}
int lw_arc_calculate_gbox_cartesian_2d(const POINT2D *A1, const POINT2D *A2, const POINT2D *A3, GBOX *gbox)
{
POINT2D xmin, ymin, xmax, ymax;
POINT2D C;
int A2_side;
double radius_A;
LWDEBUG(2, "lw_arc_calculate_gbox_cartesian_2d called.");
radius_A = lw_arc_center(A1, A2, A3, &C);
/* Negative radius signals straight line, p1/p2/p3 are colinear */
if (radius_A < 0.0)
{
gbox->xmin = FP_MIN(A1->x, A3->x);
gbox->ymin = FP_MIN(A1->y, A3->y);
gbox->xmax = FP_MAX(A1->x, A3->x);
gbox->ymax = FP_MAX(A1->y, A3->y);
return LW_SUCCESS;
}
/* Matched start/end points imply circle */
if ( A1->x == A3->x && A1->y == A3->y )
{
gbox->xmin = C.x - radius_A;
gbox->ymin = C.y - radius_A;
gbox->xmax = C.x + radius_A;
gbox->ymax = C.y + radius_A;
return LW_SUCCESS;
}
/* First approximation, bounds of start/end points */
gbox->xmin = FP_MIN(A1->x, A3->x);
gbox->ymin = FP_MIN(A1->y, A3->y);
gbox->xmax = FP_MAX(A1->x, A3->x);
gbox->ymax = FP_MAX(A1->y, A3->y);
/* Create points for the possible extrema */
xmin.x = C.x - radius_A;
xmin.y = C.y;
ymin.x = C.x;
ymin.y = C.y - radius_A;
xmax.x = C.x + radius_A;
xmax.y = C.y;
ymax.x = C.x;
ymax.y = C.y + radius_A;
/* Divide the circle into two parts, one on each side of a line
joining p1 and p3. The circle extrema on the same side of that line
as p2 is on, are also the extrema of the bbox. */
A2_side = lw_segment_side(A1, A3, A2);
if ( A2_side == lw_segment_side(A1, A3, &xmin) )
gbox->xmin = xmin.x;
if ( A2_side == lw_segment_side(A1, A3, &ymin) )
gbox->ymin = ymin.y;
if ( A2_side == lw_segment_side(A1, A3, &xmax) )
gbox->xmax = xmax.x;
if ( A2_side == lw_segment_side(A1, A3, &ymax) )
gbox->ymax = ymax.y;
return LW_SUCCESS;
}
/**
To get the effective area, we have to check what area a point results in when all smaller areas are eliminated
*/
static void tune_areas(EFFECTIVE_AREAS *ea, int avoid_collaps, int set_area, double trshld)
{
LWDEBUG(2, "Entered tune_areas");
const double *P1;
const double *P2;
const double *P3;
double area;
int go_on=1;
double check_order_min_area = 0;
int npoints=ea->inpts->npoints;
int i;
int current, before_current, after_current;
MINHEAP tree = initiate_minheap(npoints);
int is3d = FLAGS_GET_Z(ea->inpts->flags);
/*Add all keys (index in initial_arealist) into minheap array*/
for (i=0;i<npoints;i++)
{
tree.key_array[i]=ea->initial_arealist+i;
LWDEBUGF(2, "add nr %d, with area %lf, and %lf",i,ea->initial_arealist[i].area, tree.key_array[i]->area );
}
tree.usedSize=npoints;
/*order the keys by area, small to big*/
qsort(tree.key_array, npoints, sizeof(void*), cmpfunc);
/*We have to put references to our tree in our point-list*/
for (i=0;i<npoints;i++)
{
((areanode*) tree.key_array[i])->treeindex=i;
LWDEBUGF(4,"Check ordering qsort gives, area=%lf and belong to point %d",((areanode*) tree.key_array[i])->area, tree.key_array[i]-ea->initial_arealist);
}
/*Ok, now we have a minHeap, just need to keep it*/
/*for (i=0;i<npoints-1;i++)*/
i=0;
while (go_on)
{
/*Get a reference to the point with the currently smallest effective area*/
current=minheap_pop(&tree, ea->initial_arealist)-ea->initial_arealist;
/*We have found the smallest area. That is the resulting effective area for the "current" point*/
if (i<npoints-avoid_collaps)
ea->res_arealist[current]=ea->initial_arealist[current].area;
else
ea->res_arealist[current]=FLT_MAX;
if(ea->res_arealist[current]<check_order_min_area)
lwerror("Oh no, this is a bug. For some reason the minHeap returned our points in the wrong order. Please file a ticket in PostGIS ticket system, or send a mial at the mailing list.Returned area = %lf, and last area = %lf",ea->res_arealist[current],check_order_min_area);
check_order_min_area=ea->res_arealist[current];
/*The found smallest area point is now regarded as elimnated and we have to recalculate the area the adjacent (ignoring earlier elimnated points) points gives*/
/*FInd point before and after*/
before_current=ea->initial_arealist[current].prev;
after_current=ea->initial_arealist[current].next;
P2= (double*)getPoint_internal(ea->inpts, before_current);
P3= (double*)getPoint_internal(ea->inpts, after_current);
/*Check if point before current point is the first in the point array. */
if(before_current>0)
{
P1= (double*)getPoint_internal(ea->inpts, ea->initial_arealist[before_current].prev);
if(is3d)
area=triarea3d(P1, P2, P3);
else
area=triarea2d(P1, P2, P3);
ea->initial_arealist[before_current].area = FP_MAX(area,ea->res_arealist[current]);
minheap_update(&tree, ea->initial_arealist, ea->initial_arealist[before_current].treeindex);
}
if(after_current<npoints-1)/*Check if point after current point is the last in the point array. */
{
P1=P2;
P2=P3;
P3= (double*)getPoint_internal(ea->inpts, ea->initial_arealist[after_current].next);
if(is3d)
area=triarea3d(P1, P2, P3);
else
area=triarea2d(P1, P2, P3);
ea->initial_arealist[after_current].area = FP_MAX(area,ea->res_arealist[current]);
minheap_update(&tree, ea->initial_arealist, ea->initial_arealist[after_current].treeindex);
}
/*rearrange the nodes so the eliminated point will be ingored on the next run*/
ea->initial_arealist[before_current].next = ea->initial_arealist[current].next;
ea->initial_arealist[after_current].prev = ea->initial_arealist[current].prev;
/*Check if we are finnished*/
if((!set_area && ea->res_arealist[current]>trshld) || (ea->initial_arealist[0].next==(npoints-1)))
go_on=0;
i++;
};
destroy_minheap(tree);
return;
}
/*
static int lwcircle_calculate_gbox_cartesian(const POINT4D *p1, const POINT4D *p2, const POINT4D *p3, GBOX *gbox)
*/
BOX3D *
lwcircle_compute_box3d(POINT4D *p1, POINT4D *p2, POINT4D *p3)
{
POINT2D xmin, ymin, xmax, ymax;
POINT4D *center = NULL;
int p2_side = 0;
double radius = 0.0;
LWDEBUG(2, "lwcircle_compute_box3d called.");
radius = lwcircle_center(p1, p2, p3, ¢er);
BOX3D *box = lwalloc(sizeof(BOX3D));
/* Negative radius signals straight line, p1/p2/p3 are colinear */
if (radius < 0.0)
{
if ( center ) lwfree(center);
box->xmin = FP_MIN(p1->x, p3->x);
box->ymin = FP_MIN(p1->y, p3->y);
box->zmin = FP_MIN(p1->z, p3->z);
box->xmax = FP_MAX(p1->x, p3->x);
box->ymax = FP_MAX(p1->y, p3->y);
box->zmax = FP_MAX(p1->z, p3->z);
return box;
}
/* Matched start/end points imply circle */
if ( p1->x == p3->x && p1->y == p3->y )
{
box->xmin = center->x - radius;
box->ymin = center->y - radius;
box->zmin = FP_MIN(p1->z,p2->z);
box->xmax = center->x + radius;
box->ymax = center->y + radius;
box->zmax = FP_MAX(p1->z,p2->z);
lwfree(center);
return box;
}
/* First approximation, bounds of start/end points */
box->xmin = FP_MIN(p1->x, p3->x);
box->ymin = FP_MIN(p1->y, p3->y);
box->zmin = FP_MIN(p1->z, p3->z);
box->xmax = FP_MAX(p1->x, p3->x);
box->ymax = FP_MAX(p1->y, p3->y);
box->zmax = FP_MAX(p1->z, p3->z);
/* Create points for the possible extrema */
xmin.x = center->x - radius;
xmin.y = center->y;
ymin.x = center->x;
ymin.y = center->y - radius;
xmax.x = center->x + radius;
xmax.y = center->y;
ymax.x = center->x;
ymax.y = center->y + radius;
/* Divide the circle into two parts, one on each side of a line
joining p1 and p3. The circle extrema on the same side of that line
as p2 is on, are also the extrema of the bbox. */
p2_side = signum(lw_segment_side((POINT2D*)p1, (POINT2D*)p3, (POINT2D*)p2));
if ( p2_side == signum(lw_segment_side((POINT2D*)p1, (POINT2D*)p3, &xmin)) )
box->xmin = xmin.x;
if ( p2_side == signum(lw_segment_side((POINT2D*)p1, (POINT2D*)p3, &ymin)) )
box->ymin = ymin.y;
if ( p2_side == signum(lw_segment_side((POINT2D*)p1, (POINT2D*)p3, &xmax)) )
box->xmax = xmax.x;
if ( p2_side == signum(lw_segment_side((POINT2D*)p1, (POINT2D*)p3, &ymax)) )
box->ymax = ymax.y;
lwfree(center);
return box;
}
int
ptarrayarc_contains_point_partial(const POINTARRAY *pa, const POINT2D *pt, int check_closed, int *winding_number)
{
int wn = 0;
int i, side;
const POINT2D *seg1;
const POINT2D *seg2;
const POINT2D *seg3;
GBOX gbox;
/* Check for not an arc ring (always have odd # of points) */
if ( (pa->npoints % 2) == 0 )
{
lwerror("ptarrayarc_contains_point called with even number of points");
return LW_OUTSIDE;
}
/* Check for not an arc ring (always have >= 3 points) */
if ( pa->npoints < 3 )
{
lwerror("ptarrayarc_contains_point called too-short pointarray");
return LW_OUTSIDE;
}
/* Check for unclosed case */
seg1 = getPoint2d_cp(pa, 0);
seg3 = getPoint2d_cp(pa, pa->npoints-1);
if ( check_closed && ! p2d_same(seg1, seg3) )
{
lwerror("ptarrayarc_contains_point called on unclosed ring");
return LW_OUTSIDE;
}
/* OK, it's closed. Is it just one circle? */
else if ( p2d_same(seg1, seg3) && pa->npoints == 3 )
{
double radius, d;
POINT2D c;
seg2 = getPoint2d_cp(pa, 1);
/* Wait, it's just a point, so it can't contain anything */
if ( lw_arc_is_pt(seg1, seg2, seg3) )
return LW_OUTSIDE;
/* See if the point is within the circle radius */
radius = lw_arc_center(seg1, seg2, seg3, &c);
d = distance2d_pt_pt(pt, &c);
if ( FP_EQUALS(d, radius) )
return LW_BOUNDARY; /* Boundary of circle */
else if ( d < radius )
return LW_INSIDE; /* Inside circle */
else
return LW_OUTSIDE; /* Outside circle */
}
else if ( p2d_same(seg1, pt) || p2d_same(seg3, pt) )
{
return LW_BOUNDARY; /* Boundary case */
}
/* Start on the ring */
seg1 = getPoint2d_cp(pa, 0);
for ( i=1; i < pa->npoints; i += 2 )
{
seg2 = getPoint2d_cp(pa, i);
seg3 = getPoint2d_cp(pa, i+1);
/* Catch an easy boundary case */
if( p2d_same(seg3, pt) )
return LW_BOUNDARY;
/* Skip arcs that have no size */
if ( lw_arc_is_pt(seg1, seg2, seg3) )
{
seg1 = seg3;
continue;
}
/* Only test segments in our vertical range */
lw_arc_calculate_gbox_cartesian_2d(seg1, seg2, seg3, &gbox);
if ( pt->y > gbox.ymax || pt->y < gbox.ymin )
{
seg1 = seg3;
continue;
}
/* Outside of horizontal range, and not between end points we also skip */
if ( (pt->x > gbox.xmax || pt->x < gbox.xmin) &&
(pt->y > FP_MAX(seg1->y, seg3->y) || pt->y < FP_MIN(seg1->y, seg3->y)) )
{
seg1 = seg3;
continue;
}
side = lw_arc_side(seg1, seg2, seg3, pt);
/* On the boundary */
if ( (side == 0) && lw_pt_in_arc(pt, seg1, seg2, seg3) )
{
return LW_BOUNDARY;
}
/* Going "up"! Point to left of arc. */
if ( side < 0 && (seg1->y <= pt->y) && (pt->y < seg3->y) )
{
wn++;
}
/* Going "down"! */
if ( side > 0 && (seg2->y <= pt->y) && (pt->y < seg1->y) )
{
wn--;
}
/* Inside the arc! */
if ( pt->x <= gbox.xmax && pt->x >= gbox.xmin )
{
POINT2D C;
double radius = lw_arc_center(seg1, seg2, seg3, &C);
double d = distance2d_pt_pt(pt, &C);
/* On the boundary! */
if ( d == radius )
return LW_BOUNDARY;
/* Within the arc! */
if ( d < radius )
{
/* Left side, increment winding number */
if ( side < 0 )
wn++;
/* Right side, decrement winding number */
if ( side > 0 )
wn--;
}
}
seg1 = seg3;
}
/* Sent out the winding number for calls that are building on this as a primitive */
if ( winding_number )
*winding_number = wn;
/* Outside */
if (wn == 0)
{
return LW_OUTSIDE;
}
/* Inside */
return LW_INSIDE;
}
int
ptarray_contains_point_partial(const POINTARRAY *pa, const POINT2D *pt, int check_closed, int *winding_number)
{
int wn = 0;
int i;
double side;
const POINT2D *seg1;
const POINT2D *seg2;
double ymin, ymax;
seg1 = getPoint2d_cp(pa, 0);
seg2 = getPoint2d_cp(pa, pa->npoints-1);
if ( check_closed && ! p2d_same(seg1, seg2) )
lwerror("ptarray_contains_point called on unclosed ring");
for ( i=1; i < pa->npoints; i++ )
{
seg2 = getPoint2d_cp(pa, i);
/* Zero length segments are ignored. */
if ( seg1->x == seg2->x && seg1->y == seg2->y )
{
seg1 = seg2;
continue;
}
ymin = FP_MIN(seg1->y, seg2->y);
ymax = FP_MAX(seg1->y, seg2->y);
/* Only test segments in our vertical range */
if ( pt->y > ymax || pt->y < ymin )
{
seg1 = seg2;
continue;
}
side = lw_segment_side(seg1, seg2, pt);
/*
* A point on the boundary of a ring is not contained.
* WAS: if (fabs(side) < 1e-12), see #852
*/
if ( (side == 0) && lw_pt_in_seg(pt, seg1, seg2) )
{
return LW_BOUNDARY;
}
/*
* If the point is to the left of the line, and it's rising,
* then the line is to the right of the point and
* circling counter-clockwise, so incremement.
*/
if ( (side < 0) && (seg1->y <= pt->y) && (pt->y < seg2->y) )
{
wn++;
}
/*
* If the point is to the right of the line, and it's falling,
* then the line is to the right of the point and circling
* clockwise, so decrement.
*/
else if ( (side > 0) && (seg2->y <= pt->y) && (pt->y < seg1->y) )
{
wn--;
}
seg1 = seg2;
}
/* Sent out the winding number for calls that are building on this as a primitive */
if ( winding_number )
*winding_number = wn;
/* Outside */
if (wn == 0)
{
return LW_OUTSIDE;
}
/* Inside */
return LW_INSIDE;
}
static int lwcircle_calculate_gbox(POINT4D p1, POINT4D p2, POINT4D p3, GBOX *gbox)
{
double x1, x2, y1, y2, z1, z2, m1, m2;
double angle, radius, sweep;
/* angles from center */
double a1, a2, a3;
/* angles from center once a1 is rotated to zero */
double r2, r3;
double xe = 0.0, ye = 0.0;
POINT4D *center;
int i;
LWDEBUG(2, "lwcircle_calculate_gbox called.");
radius = lwcircle_center(&p1, &p2, &p3, ¢er);
if (radius < 0.0) return G_FAILURE;
x1 = MAXFLOAT;
x2 = -1 * MAXFLOAT;
y1 = MAXFLOAT;
y2 = -1 * MAXFLOAT;
a1 = atan2(p1.y - center->y, p1.x - center->x);
a2 = atan2(p2.y - center->y, p2.x - center->x);
a3 = atan2(p3.y - center->y, p3.x - center->x);
/* Rotate a2 and a3 such that a1 = 0 */
r2 = a2 - a1;
r3 = a3 - a1;
/*
* There are six cases here I'm interested in
* Clockwise:
* 1. a1-a2 < 180 == r2 < 0 && (r3 > 0 || r3 < r2)
* 2. a1-a2 > 180 == r2 > 0 && (r3 > 0 && r3 < r2)
* 3. a1-a2 > 180 == r2 > 0 && (r3 > r2 || r3 < 0)
* Counter-clockwise:
* 4. a1-a2 < 180 == r2 > 0 && (r3 < 0 || r3 > r2)
* 5. a1-a2 > 180 == r2 < 0 && (r3 < 0 && r3 > r2)
* 6. a1-a2 > 180 == r2 < 0 && (r3 < r2 || r3 > 0)
* 3 and 6 are invalid cases where a3 is the midpoint.
* BBOX is fundamental, so these cannot error out and will instead
* calculate the sweep using a3 as the middle point.
*/
/* clockwise 1 */
if (FP_LT(r2, 0) && (FP_GT(r3, 0) || FP_LT(r3, r2)))
{
sweep = (FP_GT(r3, 0)) ? (r3 - 2 * M_PI) : r3;
}
/* clockwise 2 */
else if (FP_GT(r2, 0) && FP_GT(r3, 0) && FP_LT(r3, r2))
{
sweep = (FP_GT(r3, 0)) ? (r3 - 2 * M_PI) : r3;
}
/* counter-clockwise 4 */
else if (FP_GT(r2, 0) && (FP_LT(r3, 0) || FP_GT(r3, r2)))
{
sweep = (FP_LT(r3, 0)) ? (r3 + 2 * M_PI) : r3;
}
/* counter-clockwise 5 */
else if (FP_LT(r2, 0) && FP_LT(r3, 0) && FP_GT(r3, r2))
{
sweep = (FP_LT(r3, 0)) ? (r3 + 2 * M_PI) : r3;
}
/* clockwise invalid 3 */
else if (FP_GT(r2, 0) && (FP_GT(r3, r2) || FP_LT(r3, 0)))
{
sweep = (FP_GT(r2, 0)) ? (r2 - 2 * M_PI) : r2;
}
/* clockwise invalid 6 */
else
{
sweep = (FP_LT(r2, 0)) ? (r2 + 2 * M_PI) : r2;
}
LWDEBUGF(3, "a1 %.16f, a2 %.16f, a3 %.16f, sweep %.16f", a1, a2, a3, sweep);
angle = 0.0;
for (i=0; i < 6; i++)
{
switch (i)
{
/* right extent */
case 0:
angle = 0.0;
xe = center->x + radius;
ye = center->y;
break;
/* top extent */
case 1:
angle = M_PI_2;
xe = center->x;
ye = center->y + radius;
break;
/* left extent */
case 2:
angle = M_PI;
xe = center->x - radius;
ye = center->y;
break;
/* bottom extent */
case 3:
angle = -1 * M_PI_2;
xe = center->x;
ye = center->y - radius;
break;
/* first point */
case 4:
angle = a1;
xe = p1.x;
ye = p1.y;
break;
/* last point */
case 5:
angle = a3;
xe = p3.x;
ye = p3.y;
break;
}
/* determine if the extents are outside the arc */
if (i < 4)
{
if (FP_GT(sweep, 0.0))
{
if (FP_LT(a3, a1))
{
if (FP_GT(angle, (a3 + 2 * M_PI)) || FP_LT(angle, a1)) continue;
}
else
{
if (FP_GT(angle, a3) || FP_LT(angle, a1)) continue;
}
}
else
{
if (FP_GT(a3, a1))
{
if (FP_LT(angle, (a3 - 2 * M_PI)) || FP_GT(angle, a1)) continue;
}
else
{
if (FP_LT(angle, a3) || FP_GT(angle, a1)) continue;
}
}
}
LWDEBUGF(3, "lwcircle_calculate_gbox: potential extreame %d (%.16f, %.16f)", i, xe, ye);
x1 = (FP_LT(x1, xe)) ? x1 : xe;
y1 = (FP_LT(y1, ye)) ? y1 : ye;
x2 = (FP_GT(x2, xe)) ? x2 : xe;
y2 = (FP_GT(y2, ye)) ? y2 : ye;
}
LWDEBUGF(3, "lwcircle_calculate_gbox: extreames found (%.16f %.16f, %.16f %.16f)", x1, y1, x2, y2);
z1 = FP_MIN(p1.z, p2.z);
z1 = FP_MIN(z1, p3.z);
z2 = FP_MAX(p1.z, p2.z);
z2 = FP_MAX(z2, p3.z);
m1 = FP_MIN(p1.m, p2.m);
m1 = FP_MIN(m1, p3.m);
m2 = FP_MAX(p1.m, p2.m);
m2 = FP_MAX(m2, p3.m);
gbox->xmin = x1;
gbox->xmax = x2;
gbox->ymin = y1;
gbox->ymax = y2;
if ( FLAGS_GET_Z(gbox->flags) )
{
gbox->zmin = z1;
gbox->zmax = z2;
}
if ( FLAGS_GET_M(gbox->flags) )
{
gbox->mmin = m1;
gbox->mmax = m2;
}
return G_SUCCESS;
}
/*
* Populate a bounding box *without* allocating an LWGEOM. Useful
* for some performance purposes.
*/
static int gserialized_peek_gbox_p(const GSERIALIZED *g, GBOX *gbox)
{
uint32_t type = gserialized_get_type(g);
/* Peeking doesn't help if you already have a box or are geodetic */
if ( FLAGS_GET_GEODETIC(g->flags) || FLAGS_GET_BBOX(g->flags) )
{
return LW_FAILURE;
}
/* Boxes of points are easy peasy */
if ( type == POINTTYPE )
{
int i = 1; /* Start past <pointtype><padding> */
double *dptr = (double*)(g->data);
/* Read the empty flag */
int *iptr = (int*)(g->data);
int isempty = (iptr[1] == 0);
/* EMPTY point has no box */
if ( isempty ) return LW_FAILURE;
gbox->xmin = gbox->xmax = dptr[i++];
gbox->ymin = gbox->ymax = dptr[i++];
if ( FLAGS_GET_Z(g->flags) )
{
gbox->zmin = gbox->zmax = dptr[i++];
}
if ( FLAGS_GET_M(g->flags) )
{
gbox->mmin = gbox->mmax = dptr[i++];
}
gbox_float_round(gbox);
return LW_SUCCESS;
}
/* We can calculate the box of a two-point cartesian line trivially */
else if ( type == LINETYPE )
{
int ndims = FLAGS_NDIMS(g->flags);
int i = 0; /* Start at <linetype><npoints> */
double *dptr = (double*)(g->data);
int *iptr = (int*)(g->data);
int npoints = iptr[1]; /* Read the npoints */
/* This only works with 2-point lines */
if ( npoints != 2 )
return LW_FAILURE;
/* Advance to X */
/* Past <linetype><npoints> */
i++;
gbox->xmin = FP_MIN(dptr[i], dptr[i+ndims]);
gbox->xmax = FP_MAX(dptr[i], dptr[i+ndims]);
/* Advance to Y */
i++;
gbox->ymin = FP_MIN(dptr[i], dptr[i+ndims]);
gbox->ymax = FP_MAX(dptr[i], dptr[i+ndims]);
if ( FLAGS_GET_Z(g->flags) )
{
/* Advance to Z */
i++;
gbox->zmin = FP_MIN(dptr[i], dptr[i+ndims]);
gbox->zmax = FP_MAX(dptr[i], dptr[i+ndims]);
}
if ( FLAGS_GET_M(g->flags) )
{
/* Advance to M */
i++;
gbox->mmin = FP_MIN(dptr[i], dptr[i+ndims]);
gbox->mmax = FP_MAX(dptr[i], dptr[i+ndims]);
}
gbox_float_round(gbox);
return LW_SUCCESS;
}
/* We can also do single-entry multi-points */
else if ( type == MULTIPOINTTYPE )
{
int i = 0; /* Start at <multipointtype><ngeoms> */
double *dptr = (double*)(g->data);
int *iptr = (int*)(g->data);
int ngeoms = iptr[1]; /* Read the ngeoms */
/* This only works with single-entry multipoints */
if ( ngeoms != 1 )
return LW_FAILURE;
/* Move forward two doubles (four ints) */
/* Past <multipointtype><ngeoms> */
/* Past <pointtype><emtpyflat> */
i += 2;
/* Read the doubles from the one point */
gbox->xmin = gbox->xmax = dptr[i++];
gbox->ymin = gbox->ymax = dptr[i++];
if ( FLAGS_GET_Z(g->flags) )
{
gbox->zmin = gbox->zmax = dptr[i++];
}
if ( FLAGS_GET_M(g->flags) )
{
gbox->mmin = gbox->mmax = dptr[i++];
}
gbox_float_round(gbox);
return LW_SUCCESS;
}
/* And we can do single-entry multi-lines with two vertices (!!!) */
else if ( type == MULTILINETYPE )
{
int ndims = FLAGS_NDIMS(g->flags);
int i = 0; /* Start at <multilinetype><ngeoms> */
double *dptr = (double*)(g->data);
int *iptr = (int*)(g->data);
int ngeoms = iptr[1]; /* Read the ngeoms */
int npoints;
/* This only works with 1-line multilines */
if ( ngeoms != 1 )
return LW_FAILURE;
/* Npoints is at <multilinetype><ngeoms><linetype><npoints> */
npoints = iptr[3];
if ( npoints != 2 )
return LW_FAILURE;
/* Advance to X */
/* Move forward two doubles (four ints) */
/* Past <multilinetype><ngeoms> */
/* Past <linetype><npoints> */
i += 2;
gbox->xmin = FP_MIN(dptr[i], dptr[i+ndims]);
gbox->xmax = FP_MAX(dptr[i], dptr[i+ndims]);
/* Advance to Y */
i++;
gbox->ymin = FP_MIN(dptr[i], dptr[i+ndims]);
gbox->ymax = FP_MAX(dptr[i], dptr[i+ndims]);
if ( FLAGS_GET_Z(g->flags) )
{
/* Advance to Z */
i++;
gbox->zmin = FP_MIN(dptr[i], dptr[i+ndims]);
gbox->zmax = FP_MAX(dptr[i], dptr[i+ndims]);
}
if ( FLAGS_GET_M(g->flags) )
{
/* Advance to M */
i++;
gbox->mmin = FP_MIN(dptr[i], dptr[i+ndims]);
gbox->mmax = FP_MAX(dptr[i], dptr[i+ndims]);
}
gbox_float_round(gbox);
return LW_SUCCESS;
}
return LW_FAILURE;
}
static int lwcircle_calculate_gbox_cartesian(const POINT4D *p1, const POINT4D *p2, const POINT4D *p3, GBOX *gbox)
{
POINT2D xmin, ymin, xmax, ymax;
POINT4D center;
int p2_side;
double radius;
LWDEBUG(2, "lwcircle_calculate_gbox called.");
radius = lwcircle_center(p1, p2, p3, ¢er);
/* Negative radius signals straight line, p1/p2/p3 are colinear */
if (radius < 0.0)
{
gbox->xmin = FP_MIN(p1->x, p3->x);
gbox->ymin = FP_MIN(p1->y, p3->y);
gbox->zmin = FP_MIN(p1->z, p3->z);
gbox->xmax = FP_MAX(p1->x, p3->x);
gbox->ymax = FP_MAX(p1->y, p3->y);
gbox->zmax = FP_MAX(p1->z, p3->z);
return LW_SUCCESS;
}
/* Matched start/end points imply circle */
if ( p1->x == p3->x && p1->y == p3->y )
{
gbox->xmin = center.x - radius;
gbox->ymin = center.y - radius;
gbox->zmin = FP_MIN(p1->z,p2->z);
gbox->mmin = FP_MIN(p1->m,p2->m);
gbox->xmax = center.x + radius;
gbox->ymax = center.y + radius;
gbox->zmax = FP_MAX(p1->z,p2->z);
gbox->mmax = FP_MAX(p1->m,p2->m);
return LW_SUCCESS;
}
/* First approximation, bounds of start/end points */
gbox->xmin = FP_MIN(p1->x, p3->x);
gbox->ymin = FP_MIN(p1->y, p3->y);
gbox->zmin = FP_MIN(p1->z, p3->z);
gbox->mmin = FP_MIN(p1->m, p3->m);
gbox->xmax = FP_MAX(p1->x, p3->x);
gbox->ymax = FP_MAX(p1->y, p3->y);
gbox->zmax = FP_MAX(p1->z, p3->z);
gbox->mmax = FP_MAX(p1->m, p3->m);
/* Create points for the possible extrema */
xmin.x = center.x - radius;
xmin.y = center.y;
ymin.x = center.x;
ymin.y = center.y - radius;
xmax.x = center.x + radius;
xmax.y = center.y;
ymax.x = center.x;
ymax.y = center.y + radius;
/* Divide the circle into two parts, one on each side of a line
joining p1 and p3. The circle extrema on the same side of that line
as p2 is on, are also the extrema of the bbox. */
p2_side = signum(lw_segment_side((POINT2D*)p1, (POINT2D*)p3, (POINT2D*)p2));
if ( p2_side == signum(lw_segment_side((POINT2D*)p1, (POINT2D*)p3, &xmin)) )
gbox->xmin = xmin.x;
if ( p2_side == signum(lw_segment_side((POINT2D*)p1, (POINT2D*)p3, &ymin)) )
gbox->ymin = ymin.y;
if ( p2_side == signum(lw_segment_side((POINT2D*)p1, (POINT2D*)p3, &xmax)) )
gbox->xmax = xmax.x;
if ( p2_side == signum(lw_segment_side((POINT2D*)p1, (POINT2D*)p3, &ymax)) )
gbox->ymax = ymax.y;
return LW_SUCCESS;
}
