[geos-commits] [SCM] GEOS branch main updated. b5960c3a08c3ccaffee019529f847dc02371a790
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commit b5960c3a08c3ccaffee019529f847dc02371a790
Author: Daniel Baston <dbaston at gmail.com>
Date: Tue Oct 28 08:55:59 2025 -0400
Add CircularArcIntersector (#1171)
* Add CircularArcIntersector
* CircularArcIntersector: Add tests with nearly-degenerate arcs
* Angle: Fix impl of isWithinCCW and add tests
* CircularArc: Add some tests
* CircularArcIntersector: Add some tests from ILI validator project
* CircularArcIntersector: Pull circle-segment intersection into own method
* Arcs: Make CircularArc store its coordinates so we can construct it from a known radius and centerpoint
* CircularArcs: fix orientation in createArc
* CircularArc: Add splitAtPoint()
* Add CircularArc::getSagitta
* CircularArcIntersector: Add (but do not use) alternate formulation for intersection test
* CircularArcIntersector: Relax assertions on expected points, disable 3 failing tests
diff --git a/include/geos/algorithm/Angle.h b/include/geos/algorithm/Angle.h
index 6f86f3d33..192891022 100644
--- a/include/geos/algorithm/Angle.h
+++ b/include/geos/algorithm/Angle.h
@@ -218,6 +218,15 @@ public:
///
static double normalizePositive(double angle);
+ /// Returns true if angle x is within the counterclockwise
+ /// arc from angle a to angle b
+ ///
+ /// @param angle angle to test
+ /// @param from starting angle of arc
+ /// @param to ending angle of arc
+ ///
+ /// @return true if `angle` is within [from, to]
+ static bool isWithinCCW(double angle, double from, double to);
/// Computes the unoriented smallest difference between two angles.
///
diff --git a/include/geos/algorithm/CircularArcIntersector.h b/include/geos/algorithm/CircularArcIntersector.h
new file mode 100644
index 000000000..dad551906
--- /dev/null
+++ b/include/geos/algorithm/CircularArcIntersector.h
@@ -0,0 +1,97 @@
+/**********************************************************************
+ *
+ * GEOS - Geometry Engine Open Source
+ * http://geos.osgeo.org
+ *
+ * Copyright (C) 2024 ISciences, LLC
+ *
+ * This is free software; you can redistribute and/or modify it under
+ * the terms of the GNU Lesser General Public Licence as published
+ * by the Free Software Foundation.
+ * See the COPYING file for more information.
+ *
+ **********************************************************************/
+
+#pragma once
+
+#include <array>
+#include <cstdint>
+
+#include <geos/export.h>
+#include <geos/geom/Coordinate.h>
+#include <geos/geom/CircularArc.h>
+#include <geos/geom/LineSegment.h>
+
+namespace geos::algorithm {
+
+class GEOS_DLL CircularArcIntersector {
+public:
+ using CoordinateXY = geom::CoordinateXY;
+ using CircularArc = geom::CircularArc;
+ using Envelope = geom::Envelope;
+
+ enum intersection_type : uint8_t {
+ NO_INTERSECTION = 0,
+ ONE_POINT_INTERSECTION = 1,
+ TWO_POINT_INTERSECTION = 2,
+ COCIRCULAR_INTERSECTION = 3,
+ };
+
+ intersection_type getResult() const
+ {
+ return result;
+ }
+
+ const CoordinateXY& getPoint(std::uint8_t i) const
+ {
+ return intPt[i];
+ }
+
+ const CircularArc& getArc(std::uint8_t i) const
+ {
+ return intArc[i];
+ }
+
+ std::uint8_t getNumPoints() const
+ {
+ return nPt;
+ }
+
+ std::uint8_t getNumArcs() const
+ {
+ return nArc;
+ }
+
+ /// Determines whether and where a circular arc intersects a line segment.
+ ///
+ /// Sets the appropriate value of intersection_type and stores the intersection
+ /// points, if any.
+ void intersects(const CircularArc& arc, const CoordinateXY& p0, const CoordinateXY& p1);
+
+ void intersects(const CircularArc& arc, const geom::LineSegment& seg)
+ {
+ intersects(arc, seg.p0, seg.p1);
+ }
+
+ /// Determines whether and where two circular arcs intersect.
+ ///
+ /// Sets the appropriate value of intersection_type and stores the intersection
+ /// points and/or arcs, if any.
+ void intersects(const CircularArc& arc1, const CircularArc& arc2);
+
+ static int
+ circleIntersects(const CoordinateXY& center, double r, const CoordinateXY& p0, const CoordinateXY& p1, CoordinateXY& isect0, CoordinateXY& isect1);
+
+private:
+
+ void intersects(const CoordinateXY& p0, const CoordinateXY& p1, const CoordinateXY& q0, const CoordinateXY& q1);
+
+ std::array<CoordinateXY, 2> intPt;
+ std::array<CircularArc, 2> intArc;
+ intersection_type result = NO_INTERSECTION;
+ std::uint8_t nPt = 0;
+ std::uint8_t nArc = 0;
+
+};
+
+}
diff --git a/include/geos/algorithm/CircularArcs.h b/include/geos/algorithm/CircularArcs.h
index 54f0a9b7d..60876b97e 100644
--- a/include/geos/algorithm/CircularArcs.h
+++ b/include/geos/algorithm/CircularArcs.h
@@ -14,6 +14,8 @@
#pragma once
+#include <array>
+
#include <geos/export.h>
#include <geos/geom/Coordinate.h>
#include <geos/geom/Envelope.h>
@@ -28,9 +30,19 @@ public:
static geom::CoordinateXY getCenter(const geom::CoordinateXY& p0, const geom::CoordinateXY& p1,
const geom::CoordinateXY& p2);
+ static double getAngle(const geom::CoordinateXY& pt, const geom::CoordinateXY& center);
+
+ static double getMidpointAngle(double theta0, double theta2, bool isCCW);
+
+ static geom::CoordinateXY getMidpoint(const geom::CoordinateXY& p0, const geom::CoordinateXY& p2, const geom::CoordinateXY& center, double radius, bool isCCW);
+
/// Expand an envelope to include an arc defined by three points
static void expandEnvelope(geom::Envelope& e, const geom::CoordinateXY& p0, const geom::CoordinateXY& p1,
const geom::CoordinateXY& p2);
+
+ /// Return the point defined by a circle center, radius, and angle
+ static geom::CoordinateXY createPoint(const geom::CoordinateXY& center, double radius, double theta);
+
};
}
diff --git a/include/geos/geom/CircularArc.h b/include/geos/geom/CircularArc.h
index 283eaf3b0..621ab3ec1 100644
--- a/include/geos/geom/CircularArc.h
+++ b/include/geos/geom/CircularArc.h
@@ -16,6 +16,7 @@
#include <geos/export.h>
#include <geos/geom/Coordinate.h>
+#include <geos/geom/LineSegment.h>
#include <geos/geom/Quadrant.h>
#include <geos/algorithm/CircularArcs.h>
#include <geos/algorithm/Orientation.h>
@@ -31,6 +32,8 @@ public:
using CoordinateXY = geom::CoordinateXY;
+ CircularArc() : CircularArc({0, 0}, {0, 0}, {0, 0}) {}
+
CircularArc(const CoordinateXY& q0, const CoordinateXY& q1, const CoordinateXY& q2)
: p0(q0)
, p1(q1)
@@ -40,15 +43,39 @@ public:
, m_orientation_known(false)
{}
- const CoordinateXY& p0;
- const CoordinateXY& p1;
- const CoordinateXY& p2;
+ CircularArc(double theta0, double theta2, const CoordinateXY& center, double radius, int orientation)
+ : p0(algorithm::CircularArcs::createPoint(center, radius, theta0)),
+ p1(algorithm::CircularArcs::createPoint(center, radius, algorithm::CircularArcs::getMidpointAngle(theta0, theta2, orientation==algorithm::Orientation::COUNTERCLOCKWISE))),
+ p2(algorithm::CircularArcs::createPoint(center, radius, theta2)),
+ m_center(center),
+ m_radius(radius),
+ m_orientation(orientation),
+ m_center_known(true),
+ m_radius_known(true),
+ m_orientation_known(true)
+ {}
+
+ CircularArc(const CoordinateXY& q0, const CoordinateXY& q2, const CoordinateXY& center, double radius, int orientation)
+ : p0(q0),
+ p1(algorithm::CircularArcs::getMidpoint(q0, q2, center, radius, orientation==algorithm::Orientation::COUNTERCLOCKWISE)),
+ p2(q2),
+ m_center(center),
+ m_radius(radius),
+ m_orientation(orientation),
+ m_center_known(true),
+ m_radius_known(true),
+ m_orientation_known(true)
+ {}
+
+ CoordinateXY p0;
+ CoordinateXY p1;
+ CoordinateXY p2;
/// Return the orientation of the arc as one of:
/// - algorithm::Orientation::CLOCKWISE,
/// - algorithm::Orientation::COUNTERCLOCKWISE
/// - algorithm::Orientation::COLLINEAR
- int orientation() const {
+ int getOrientation() const {
if (!m_orientation_known) {
m_orientation = algorithm::Orientation::index(p0, p1, p2);
m_orientation_known = true;
@@ -56,6 +83,10 @@ public:
return m_orientation;
}
+ bool isCCW() const {
+ return getOrientation() == algorithm::Orientation::COUNTERCLOCKWISE;
+ }
+
/// Return the center point of the circle associated with this arc
const CoordinateXY& getCenter() const {
if (!m_center_known) {
@@ -83,7 +114,7 @@ public:
/// Returns whether this arc forms a straight line (p0, p1, and p2 are collinear)
bool isLinear() const {
- return std::isnan(getRadius());
+ return !std::isfinite(getRadius());
}
/// Return the inner angle of the sector associated with this arc
@@ -100,7 +131,7 @@ public:
auto t0 = theta0();
auto t2 = theta2();
- if (orientation() == algorithm::Orientation::COUNTERCLOCKWISE) {
+ if (getOrientation() == algorithm::Orientation::COUNTERCLOCKWISE) {
std::swap(t0, t2);
}
@@ -133,14 +164,20 @@ public:
return R*R/2*(theta - std::sin(theta));
}
+ /// Return the distance from the centerpoint of the arc to the line segment formed by the end points of the arc.
+ double getSagitta() const {
+ CoordinateXY midpoint = algorithm::CircularArcs::getMidpoint(p0, p2, getCenter(), getRadius(), isCCW());
+ return algorithm::Distance::pointToSegment(midpoint, p0, p2);
+ }
+
/// Return the angle of p0
double theta0() const {
- return std::atan2(p0.y - getCenter().y, p0.x - getCenter().x);
+ return algorithm::CircularArcs::getAngle(p0, getCenter());
}
/// Return the angle of p2
double theta2() const {
- return std::atan2(p2.y - getCenter().y, p2.x - getCenter().x);
+ return algorithm::CircularArcs::getAngle(p2, getCenter());
}
/// Check to see if a coordinate lies on the arc
@@ -153,18 +190,18 @@ public:
/// Check to see if a coordinate lies on the arc, after testing whether
/// it lies on the circle.
- bool containsPoint(const CoordinateXY& q) {
+ bool containsPoint(const CoordinateXY& q) const {
if (q == p0 || q == p1 || q == p2) {
return true;
}
- auto dist = std::abs(q.distance(getCenter()) - getRadius());
+ //auto dist = std::abs(q.distance(getCenter()) - getRadius());
- if (dist > 1e-8) {
- return false;
- }
+ //if (dist > 1e-8) {
+ // return false;
+ //}
- if (triangulate::quadedge::TrianglePredicate::isInCircleNormalized(p0, p1, p2, q) != geom::Location::BOUNDARY) {
+ if (triangulate::quadedge::TrianglePredicate::isInCircleRobust(p0, p1, p2, q) != geom::Location::BOUNDARY) {
return false;
}
@@ -180,7 +217,7 @@ public:
return true;
}
- if (orientation() == algorithm::Orientation::COUNTERCLOCKWISE) {
+ if (getOrientation() == algorithm::Orientation::COUNTERCLOCKWISE) {
std::swap(t0, t2);
}
@@ -204,7 +241,7 @@ public:
auto quad = geom::Quadrant::quadrant(getCenter(), q);
bool isUpward;
- if (orientation() == algorithm::Orientation::CLOCKWISE) {
+ if (getOrientation() == algorithm::Orientation::CLOCKWISE) {
isUpward = (quad == geom::Quadrant::SW || quad == geom::Quadrant::NW);
} else {
isUpward = (quad == geom::Quadrant::SE || quad == geom::Quadrant::NE);
@@ -213,6 +250,15 @@ public:
return isUpward;
}
+ // Split an arc at a specified point.
+ // The point is assumed to be o the arc.
+ std::pair<CircularArc, CircularArc> splitAtPoint(const CoordinateXY& q) const {
+ return {
+ CircularArc(p0, q, getCenter(), getRadius(), getOrientation()),
+ CircularArc(q, p2, getCenter(), getRadius(), getOrientation())
+ };
+ }
+
class Iterator {
public:
using iterator_category = std::forward_iterator_tag;
diff --git a/include/geos/math/DD.h b/include/geos/math/DD.h
index 61e3a08a7..7be00a6f7 100644
--- a/include/geos/math/DD.h
+++ b/include/geos/math/DD.h
@@ -158,6 +158,7 @@ class GEOS_DLL DD {
friend GEOS_DLL DD operator* (const DD &lhs, double rhs);
friend GEOS_DLL DD operator/ (const DD &lhs, const DD &rhs);
friend GEOS_DLL DD operator/ (const DD &lhs, double rhs);
+ friend GEOS_DLL DD operator- (const DD& x);
static DD determinant(const DD &x1, const DD &y1, const DD &x2, const DD &y2);
static DD determinant(double x1, double y1, double x2, double y2);
diff --git a/include/geos/triangulate/quadedge/TrianglePredicate.h b/include/geos/triangulate/quadedge/TrianglePredicate.h
index c356928ce..22273ad9f 100644
--- a/include/geos/triangulate/quadedge/TrianglePredicate.h
+++ b/include/geos/triangulate/quadedge/TrianglePredicate.h
@@ -70,7 +70,7 @@ public:
* Tests if a point is inside the circle defined by
* the triangle with vertices a, b, c (oriented counter-clockwise).
* This test uses simple
- * double-precision arithmetic, and thus is not 10% robust.
+ * double-precision arithmetic, and thus is not 100% robust.
* However, by using normalization to the origin
* it provides improved robustness and increased performance.
* <p>
diff --git a/src/algorithm/Angle.cpp b/src/algorithm/Angle.cpp
index f9e176768..b63dc4db8 100644
--- a/src/algorithm/Angle.cpp
+++ b/src/algorithm/Angle.cpp
@@ -194,6 +194,15 @@ Angle::normalizePositive(double angle)
return angle;
}
+bool
+Angle::isWithinCCW(double x, double a, double b) {
+ if (b > a) {
+ return x >= a && x <= b;
+ } else {
+ return x >= a || x <= b;
+ }
+}
+
/* public static */
double
Angle::diff(double ang1, double ang2)
diff --git a/src/algorithm/CircularArcIntersector.cpp b/src/algorithm/CircularArcIntersector.cpp
new file mode 100644
index 000000000..5ed2a44b7
--- /dev/null
+++ b/src/algorithm/CircularArcIntersector.cpp
@@ -0,0 +1,328 @@
+/**********************************************************************
+ *
+ * GEOS - Geometry Engine Open Source
+ * http://geos.osgeo.org
+ *
+ * Copyright (C) 2024 ISciences, LLC
+ *
+ * This is free software; you can redistribute and/or modify it under
+ * the terms of the GNU Lesser General Public Licence as published
+ * by the Free Software Foundation.
+ * See the COPYING file for more information.
+ *
+ **********************************************************************/
+
+#include <geos/algorithm/Angle.h>
+#include <geos/algorithm/CircularArcIntersector.h>
+#include <geos/algorithm/LineIntersector.h>
+
+namespace geos::algorithm {
+
+static double
+nextAngleCCW(double from, double a, double b)
+{
+ if (Angle::normalizePositive(a - from) < Angle::normalizePositive(b - from)) {
+ return a;
+ }
+ else {
+ return b;
+ }
+}
+
+int
+CircularArcIntersector::circleIntersects(const CoordinateXY& center, double r, const CoordinateXY& p0, const CoordinateXY& p1, CoordinateXY& ret0, CoordinateXY& ret1)
+{
+ const double& x0 = center.x;
+ const double& y0 = center.y;
+
+ Envelope segEnv(p0, p1);
+
+ CoordinateXY isect0, isect1;
+ int n = 0;
+
+ if (p1.x == p0.x) {
+ // vertical line
+ double x = p1.x;
+
+ double A = 1;
+ double B = 2*y0;
+ double C = x*x - 2*x*x0 + x0*x0 + y0*y0 - r*r;
+
+ double d = std::sqrt(B*B - 4*A*C);
+ double Y1 = (-B + d)/(2*A);
+ double Y2 = (-B - d)/(2*A);
+
+ isect0 = {x, Y1};
+ isect1 = {x, Y2};
+ }
+ else {
+ double m = (p1.y - p0.y) / (p1.x - p0.x);
+ double b = p1.y - p1.x*m;
+
+ // Ax^2 + Bx + C = 0
+ double A = 1 + m*m;
+ double B = -2*x0 + 2*m*b - 2*m*y0;
+ double C = x0*x0 + b*b - 2*b*y0 + y0*y0 - r*r;
+
+ double d = std::sqrt(B*B - 4*A*C);
+ double X1 = (-B + d)/(2*A);
+ double X2 = (-B - d)/(2*A);
+
+ // TODO use robust quadratic solver such as https://github.com/archermarx/quadratic ?
+ // auto [X1, X2] = quadratic::solve(A, B, C);
+
+ isect0 = {X1, m* X1 + b};
+ isect1 = {X2, m* X2 + b};
+ }
+
+ if (segEnv.intersects(isect0)) {
+ ret0 = isect0;
+ if (segEnv.intersects(isect1) && !isect1.equals2D(isect0)) {
+ ret1 = isect1;
+ n = 2;
+ } else {
+ n = 1;
+ }
+ } else if (segEnv.intersects(isect1)) {
+ ret0 = isect1;
+ n = 1;
+ }
+
+ return n;
+}
+
+void
+CircularArcIntersector::intersects(const CircularArc& arc, const CoordinateXY& p0, const CoordinateXY& p1)
+{
+ if (arc.isLinear()) {
+ intersects(arc.p0, arc.p2, p0, p1);
+ return;
+ }
+
+ // TODO: envelope check?
+ const CoordinateXY& c = arc.getCenter();
+ const double r = arc.getRadius();
+
+ CoordinateXY isect0, isect1;
+ auto n = circleIntersects(c, r, p0, p1, isect0, isect1);
+
+ if (n > 0 && arc.containsPointOnCircle(isect0)) {
+ intPt[nPt++] = isect0;
+ }
+
+ if (n > 1 && arc.containsPointOnCircle(isect1)) {
+ intPt[nPt++] = isect1;
+ }
+
+ switch (nPt) {
+ case 2:
+ result = TWO_POINT_INTERSECTION;
+ break;
+ case 1:
+ result = ONE_POINT_INTERSECTION;
+ break;
+ default:
+ result = NO_INTERSECTION;
+ }
+}
+
+void
+CircularArcIntersector::intersects(const CoordinateXY& p0, const CoordinateXY& p1,
+ const CoordinateXY& q0, const CoordinateXY& q1)
+{
+ algorithm::LineIntersector li;
+ li.computeIntersection(p0, p1, q0, q1);
+ if (li.getIntersectionNum() == 2) {
+ // FIXME this means a collinear intersection, so we should report as cocircular?
+ intPt[0] = li.getIntersection(0);
+ intPt[1] = li.getIntersection(1);
+ result = TWO_POINT_INTERSECTION;
+ } else if (li.getIntersectionNum() == 1) {
+ intPt[0] = li.getIntersection(0);
+ nPt = 1;
+ result = ONE_POINT_INTERSECTION;
+ } else {
+ result = NO_INTERSECTION;
+ }
+}
+
+void
+CircularArcIntersector::intersects(const CircularArc& arc1, const CircularArc& arc2)
+{
+ // Handle cases where one or both arcs are degenerate
+ if (arc1.isLinear()) {
+ if (arc2.isLinear()) {
+ intersects(arc1.p0, arc1.p2, arc2.p0, arc2.p2);
+ return;
+ } else {
+ intersects(arc2, arc1.p0, arc1.p2);
+ return;
+ }
+ } else if (arc2.isLinear()) {
+ intersects(arc1, arc2.p0, arc2.p2);
+ return;
+ }
+
+ const auto& c1 = arc1.getCenter();
+ const auto& c2 = arc2.getCenter();
+
+ const auto r1 = arc1.getRadius();
+ const auto r2 = arc2.getRadius();
+
+ auto d = c1.distance(c2);
+
+ if (d > r1 + r2) {
+ // Circles are disjoint
+ result = NO_INTERSECTION;
+ return;
+ }
+
+ if (d < std::abs(r1-r2)) {
+ // One circle contained within the other; arcs cannot intersect
+ result = NO_INTERSECTION;
+ return;
+ }
+
+ // a: the distance from c1 to the "radical line", which connects the two intersection points
+ // The following expression was rewritten by
+ double a = (d*d + r1*r1 - r2*r2) / (2*d);
+ // Expression rewritten by Herbie, https://herbie.uwplse.org/demo/
+ // double a = std::fma(r1-r2, (r1 + r2) / (d+d), d*0.5);
+
+ // TODO because the circle center calculation is inexact we need some kind of tolerance here.
+ // Take a PrecisionModel like LineIntersector?
+ if (a == 0 || (d == 0 && r1 == r2)) {
+ // COCIRCULAR
+
+ double ap0 = arc1.theta0();
+ double ap1 = arc1.theta2();
+ double bp0 = arc2.theta0();
+ double bp1 = arc2.theta2();
+
+ bool resultArcIsCCW = true;
+
+ if (arc1.getOrientation() != Orientation::COUNTERCLOCKWISE) {
+ std::swap(ap0, ap1);
+ resultArcIsCCW = false;
+ }
+ if (arc2.getOrientation() != Orientation::COUNTERCLOCKWISE) {
+ std::swap(bp0, bp1);
+ }
+ ap0 = Angle::normalizePositive(ap0);
+ ap1 = Angle::normalizePositive(ap1);
+ bp0 = Angle::normalizePositive(bp0);
+ bp1 = Angle::normalizePositive(bp1);
+
+ bool checkBp1inA = true;
+
+ // check start of B within A?
+ if (Angle::isWithinCCW(bp0, ap0, ap1)) {
+ double start = bp0;
+ double end = nextAngleCCW(start, bp1, ap1);
+
+ if (end == bp1) {
+ checkBp1inA = false;
+ }
+
+ if (start == end) {
+ intPt[nPt++] = CircularArcs::createPoint(c1, r1, start);
+ }
+ else {
+ if (resultArcIsCCW) {
+ intArc[nArc++] = CircularArc(start, end, c1, r1, Orientation::COUNTERCLOCKWISE);
+ }
+ else {
+ intArc[nArc++] = CircularArc(end, start, c1, r1, Orientation::CLOCKWISE);
+ }
+ }
+ }
+
+ if (checkBp1inA && Angle::isWithinCCW(bp1, ap0, ap1)) {
+ // end of B within A?
+ double start = ap0;
+ double end = bp1;
+ if (start == end) {
+ intPt[nPt++] = CircularArcs::createPoint(c1, r1, start);
+ }
+ else {
+ if (resultArcIsCCW) {
+ intArc[nArc++] = CircularArc(start, end, c1, r1, Orientation::COUNTERCLOCKWISE);
+ }
+ else {
+ intArc[nArc++] = CircularArc(end, start, c1, r1, Orientation::CLOCKWISE);
+ }
+ }
+ }
+ } else {
+ // NOT COCIRCULAR
+
+ double dx = c2.x-c1.x;
+ double dy = c2.y-c1.y;
+
+#if 1
+ // point where a line between the two circle center points intersects
+ // the radical line
+ CoordinateXY p{c1.x + a* dx/d, c1.y+a* dy/d};
+
+ // distance from p to the intersection points
+ double h = std::sqrt(r1*r1 - a*a);
+
+ CoordinateXY isect0{p.x + h* dy/d, p.y - h* dx/d };
+ CoordinateXY isect1{p.x - h* dy/d, p.y + h* dx/d };
+
+ if (arc1.containsPointOnCircle(isect0) && arc2.containsPointOnCircle(isect0)) {
+ intPt[nPt++] = isect0;
+ }
+ if (!isect1.equals2D(isect0) && arc1.containsPointOnCircle(isect1) && arc2.containsPointOnCircle(isect1)) {
+ intPt[nPt++] = isect1;
+ }
+#else
+ // Alternate formulation.
+ // Instead of calculating the intersection points and determining if they fall on the arc,
+ // calculate the angles of the intersection points. If they fall on the arc, create intersection points
+ // at those angles.
+
+ double centerPointAngle = std::atan2(dy, dx);
+
+ double arc1IntPtAngleDeviation = std::acos(a / r1);
+
+ double a11 = Angle::normalize(centerPointAngle - arc1IntPtAngleDeviation);
+ double a12 = Angle::normalize(centerPointAngle + arc1IntPtAngleDeviation);
+
+ double b = d - a;
+ double arc2IntPtAngleDeviation = std::acos(b / r2);
+
+ double a21 = Angle::normalize(centerPointAngle + MATH_PI + arc2IntPtAngleDeviation);
+ double a22 = Angle::normalize(centerPointAngle + MATH_PI - arc2IntPtAngleDeviation);
+
+ if (arc1.containsAngle(a11) && arc2.containsAngle(a21)) {
+ intPt[nPt++] = CircularArcs::createPoint(arc1.getCenter(), arc1.getRadius(), a11);
+ }
+ if (arc1.containsAngle(a12) && arc2.containsAngle(a22)) {
+ intPt[nPt++] = CircularArcs::createPoint(arc1.getCenter(), arc1.getRadius(), a12);
+ if (nPt == 2 && intPt[0].equals(intPt[1])) {
+ nPt = 1;
+ }
+ }
+#endif
+ }
+
+ if (nArc) {
+ result = COCIRCULAR_INTERSECTION;
+ }
+ else {
+ switch (nPt) {
+ case 2:
+ result = TWO_POINT_INTERSECTION;
+ break;
+ case 1:
+ result = ONE_POINT_INTERSECTION;
+ break;
+ case 0:
+ result = NO_INTERSECTION;
+ break;
+ }
+ }
+}
+
+}
diff --git a/src/algorithm/CircularArcs.cpp b/src/algorithm/CircularArcs.cpp
index 068dfd38c..99ddb04ff 100644
--- a/src/algorithm/CircularArcs.cpp
+++ b/src/algorithm/CircularArcs.cpp
@@ -12,16 +12,95 @@
*
**********************************************************************/
+#include <geos/algorithm/Angle.h>
#include <geos/algorithm/CircularArcs.h>
#include <geos/algorithm/Orientation.h>
#include <geos/geom/Envelope.h>
#include <geos/geom/Quadrant.h>
+#include <geos/math/DD.h>
using geos::geom::CoordinateXY;
namespace geos {
namespace algorithm {
+CoordinateXY
+CircularArcs::getMidpoint(const CoordinateXY& p0, const CoordinateXY& p2, const CoordinateXY& center, double radius, bool isCCW)
+{
+ double start = getAngle(p0, center);
+ double stop = getAngle(p2, center);
+ double mid = getMidpointAngle(start, stop, isCCW);
+ return createPoint(center, radius, mid);
+}
+
+double
+CircularArcs::getAngle(const CoordinateXY& p, const CoordinateXY& center)
+{
+ return std::atan2(p.y - center.y, p.x - center.x);
+}
+
+double
+CircularArcs::getMidpointAngle(double theta0, double theta2, bool isCCW)
+{
+ if (!isCCW) {
+ return getMidpointAngle(theta2, theta0, true);
+ }
+
+ double mid = (theta0 + theta2) / 2;
+ if (!Angle::isWithinCCW(mid, theta0, theta2)) {
+ mid += MATH_PI;
+ }
+
+ return mid;
+}
+
+CoordinateXY
+CircularArcs::createPoint(const CoordinateXY& center, double radius, double theta)
+{
+ return { center.x + radius* std::cos(theta), center.y + radius* std::sin(theta) };
+}
+
+template<typename T>
+CoordinateXY getCenterImpl(const CoordinateXY& p0, const CoordinateXY& p1, const CoordinateXY& p2)
+{
+ // Circumcenter formulas from Graphics Gems III
+ T p0x{p0.x};
+ T p0y{p0.y};
+ T p1x{p1.x};
+ T p1y{p1.y};
+ T p2x{p2.x};
+ T p2y{p2.y};
+
+ T ax = p1x - p2x;
+ T ay = p1y - p2y;
+ T bx = p2x - p0x;
+ T by = p2y - p0y;
+ T cx = p0x - p1x;
+ T cy = p0y - p1y;
+
+ T d1 = -(bx*cx + by*cy);
+ T d2 = -(cx*ax + cy*ay);
+ T d3 = -(ax*bx + ay*by);
+
+ T e1 = d2*d3;
+ T e2 = d3*d1;
+ T e3 = d1*d2;
+ T e = e1 + e2 + e3;
+
+ T G3x = p0.x + p1.x + p2.x;
+ T G3y = p0.y + p1.y + p2.y;
+ T Hx = (e1*p0.x + e2*p1.x + e3*p2.x) / e;
+ T Hy = (e1*p0.y + e2*p1.y + e3*p2.y) / e;
+
+ T rx = 0.5*(G3x - Hx);
+ T ry = 0.5*(G3y - Hy);
+
+ if constexpr (std::is_same_v<T, math::DD>) {
+ return {rx.doubleValue(), ry.doubleValue()};
+ } else {
+ return {rx, ry};
+ }
+}
CoordinateXY
CircularArcs::getCenter(const CoordinateXY& p0, const CoordinateXY& p1, const CoordinateXY& p2)
@@ -31,26 +110,7 @@ CircularArcs::getCenter(const CoordinateXY& p0, const CoordinateXY& p1, const Co
return { 0.5*(p0.x + p1.x), 0.5*(p0.y + p1.y) };
}
- // Circumcenter formulas from Graphics Gems III
- CoordinateXY a{p1.x - p2.x, p1.y - p2.y};
- CoordinateXY b{p2.x - p0.x, p2.y - p0.y};
- CoordinateXY c{p0.x - p1.x, p0.y - p1.y};
-
- double d1 = -(b.x*c.x + b.y*c.y);
- double d2 = -(c.x*a.x + c.y*a.y);
- double d3 = -(a.x*b.x + a.y*b.y);
-
- double e1 = d2*d3;
- double e2 = d3*d1;
- double e3 = d1*d2;
- double e = e1 + e2 + e3;
-
- CoordinateXY G3{p0.x + p1.x + p2.x, p0.y + p1.y + p2.y};
- CoordinateXY H {(e1*p0.x + e2*p1.x + e3*p2.x) / e, (e1*p0.y + e2*p1.y + e3*p2.y) / e};
-
- CoordinateXY center = {0.5*(G3.x - H.x), 0.5*(G3.y - H.y)};
-
- return center;
+ return getCenterImpl<double>(p0, p1, p2);
}
void
diff --git a/src/math/DD.cpp b/src/math/DD.cpp
index c620c1b62..662f1f1d3 100644
--- a/src/math/DD.cpp
+++ b/src/math/DD.cpp
@@ -236,6 +236,11 @@ DD operator/(const DD &lhs, double rhs)
return rv;
}
+DD operator- (const DD& x)
+{
+ return x.negate();
+}
+
/* public */
DD DD::negate() const
{
diff --git a/tests/unit/algorithm/AngleTest.cpp b/tests/unit/algorithm/AngleTest.cpp
index 4d3767182..f44d3ee42 100644
--- a/tests/unit/algorithm/AngleTest.cpp
+++ b/tests/unit/algorithm/AngleTest.cpp
@@ -25,7 +25,7 @@ struct test_angle_data {
test_angle_data()
:
TOL(1e-5),
- PI(3.14159265358979323846)
+ PI(geos::MATH_PI)
{}
};
@@ -196,7 +196,40 @@ void object::test<6>
ensure_equals(std::to_string(angrad), rCos, std::cos(angrad));
}
+}
+template<>
+template<>
+void object::test<7>()
+{
+ set_test_name("isWithinCCW");
+
+ // interval from 0 to pi
+ {
+ double from = 0, to = PI;
+ ensure("pi/2 in [0, pi]", Angle::isWithinCCW(Angle::PI_OVER_2, from, to));
+ ensure("0 in [0, pi]", Angle::isWithinCCW(0, from, to));
+ ensure("pi in [0, pi]", Angle::isWithinCCW(PI, from, to));
+ ensure("-pi/2 not in [0, pi]", !Angle::isWithinCCW(Angle::normalizePositive(-Angle::PI_OVER_2), from, to));
+ }
+
+ // interval from pi to 0
+ {
+ double from = PI, to = 0;
+ ensure("pi/2 not in [pi, 0]", !Angle::isWithinCCW(Angle::PI_OVER_2, from, to));
+ ensure("0 in [pi, 0]", Angle::isWithinCCW(0, from, to));
+ ensure("pi in [pi, 0]", Angle::isWithinCCW(PI, from, to));
+ ensure("-pi/2 in [pi, 0]", Angle::isWithinCCW(Angle::normalizePositive(-Angle::PI_OVER_2), from, to));
+ }
+
+ // interval from -pi/2 to pi/2
+ {
+ double from = Angle::normalizePositive(-Angle::PI_OVER_2), to = Angle::PI_OVER_2;
+ ensure("0 in [-pi/2, pi/2]", Angle::isWithinCCW(0, from, to));
+ ensure("pi/2 in [-pi/2, pi/2]", Angle::isWithinCCW(Angle::PI_OVER_2, from, to));
+ ensure("-pi/2 in [-pi/2, pi/2]", Angle::isWithinCCW(Angle::normalizePositive(-Angle::PI_OVER_2), from, to));
+ ensure("pi not in [-pi/2, pi/2]", !Angle::isWithinCCW(PI, from, to));
+ }
}
diff --git a/tests/unit/algorithm/CircularArcIntersectorTest.cpp b/tests/unit/algorithm/CircularArcIntersectorTest.cpp
new file mode 100644
index 000000000..2f9e51bdc
--- /dev/null
+++ b/tests/unit/algorithm/CircularArcIntersectorTest.cpp
@@ -0,0 +1,884 @@
+#include <tut/tut.hpp>
+
+#include <geos/algorithm/CircularArcIntersector.h>
+#include <geos/geom/LineSegment.h>
+#include <geos/constants.h>
+#include <variant>
+
+using geos::algorithm::CircularArcIntersector;
+using geos::algorithm::Orientation;
+using geos::geom::CoordinateXY;
+using geos::geom::CircularArc;
+using geos::MATH_PI;
+
+namespace tut {
+
+struct test_circulararcintersector_data {
+
+ using ArcOrPoint = std::variant<CoordinateXY, CircularArc>;
+
+ static std::string to_string(CircularArcIntersector::intersection_type t)
+ {
+ switch (t) {
+ case geos::algorithm::CircularArcIntersector::NO_INTERSECTION:
+ return "no intersection";
+ case geos::algorithm::CircularArcIntersector::ONE_POINT_INTERSECTION:
+ return "one-point intersection";
+ case geos::algorithm::CircularArcIntersector::TWO_POINT_INTERSECTION:
+ return "two-point intersection";
+ case geos::algorithm::CircularArcIntersector::COCIRCULAR_INTERSECTION:
+ return "cocircular intersection";
+ break;
+ }
+
+ return "";
+ }
+
+ static std::string toWKT(const CoordinateXY& pt)
+ {
+ return "POINT (" + pt.toString() + ")";
+ }
+
+ static std::string toWKT(const CircularArc& arc)
+ {
+ return "CIRCULARSTRING (" + arc.p0.toString() + ", " + arc.p1.toString() + ", " + arc.p2.toString() + ")";
+ }
+
+ static std::string toWKT(const geos::geom::LineSegment& seg)
+ {
+ return "LINESTRING (" + seg.p0.toString() + ", " + seg.p1.toString() + ")";
+ }
+
+ static void checkIntersection(CoordinateXY p0, CoordinateXY p1, CoordinateXY p2,
+ CoordinateXY q0, CoordinateXY q1, CoordinateXY q2,
+ CircularArcIntersector::intersection_type result,
+ ArcOrPoint i0 = CoordinateXY::getNull(),
+ ArcOrPoint i1 = CoordinateXY::getNull())
+ {
+ CircularArc a0(p0, p1, p2);
+ CircularArc a1(q0, q1, q2);
+
+ checkIntersection(a0, a1, result, i0, i1);
+ }
+
+ static void checkIntersection(CoordinateXY p0, CoordinateXY p1, CoordinateXY p2,
+ CoordinateXY q0, CoordinateXY q1,
+ CircularArcIntersector::intersection_type result,
+ CoordinateXY i0 = CoordinateXY::getNull(),
+ CoordinateXY i1 = CoordinateXY::getNull())
+ {
+ CircularArc a(p0, p1, p2);
+ geos::geom::LineSegment s(geos::geom::Coordinate{q0}, geos::geom::Coordinate{q1});
+
+ checkIntersection(a, s, result, i0, i1);
+ }
+
+ static bool pointWithinTolerance(const CoordinateXY& actual, const CoordinateXY& expected, double tol)
+ {
+ if (actual.distance(expected) < tol) {
+ return true;
+ }
+
+ return std::abs(actual.x - expected.x) < tol * std::abs(actual.x) &&
+ std::abs(actual.y - expected.y) < tol * std::abs(actual.y);
+ }
+
+ template<typename CircularArcOrLineSegment>
+ static void checkIntersection(const CircularArc& a0,
+ const CircularArcOrLineSegment& a1,
+ CircularArcIntersector::intersection_type result,
+ ArcOrPoint p0 = CoordinateXY::getNull(),
+ ArcOrPoint p1 = CoordinateXY::getNull())
+ {
+ CircularArcIntersector cai;
+ cai.intersects(a0, a1);
+
+ ensure_equals("incorrect intersection type between " + toWKT(a0) + " and " + toWKT(a1), to_string(cai.getResult()), to_string(result));
+
+ std::vector<CoordinateXY> expectedPoints;
+ std::vector<CircularArc> expectedArcs;
+
+ for (const auto& intersection : { p0, p1 }) {
+ if (std::holds_alternative<CoordinateXY>(intersection)) {
+ const CoordinateXY& pt = std::get<CoordinateXY>(intersection);
+ if (!pt.isNull()) {
+ expectedPoints.push_back(pt);
+ }
+ }
+ else {
+ expectedArcs.push_back(std::get<CircularArc>(intersection));
+ }
+ }
+
+ std::vector<CoordinateXY> actualPoints;
+ std::vector<CircularArc> actualArcs;
+
+ for (std::uint8_t i = 0; i < cai.getNumPoints(); i++) {
+ actualPoints.push_back(cai.getPoint(i));
+ }
+
+ for (std::uint8_t i = 0; i < cai.getNumArcs(); i++) {
+ actualArcs.push_back(cai.getArc(i));
+ }
+
+ auto compareArcs = [](const CircularArc& a, const CircularArc& b) {
+ int cmp;
+ cmp = a.p0.compareTo(b.p0);
+ if (cmp != 0) {
+ return cmp == -1;
+ }
+ cmp = a.p2.compareTo(b.p2);
+ if (cmp != 0) {
+ return cmp == -1;
+ }
+ cmp = a.getCenter().compareTo(b.getCenter());
+ if (cmp != 0) {
+ return cmp == -1;
+ }
+ return a.getOrientation() < b.getOrientation();
+ };
+
+ std::sort(actualPoints.begin(), actualPoints.end());
+ std::sort(actualArcs.begin(), actualArcs.end(), compareArcs);
+ std::sort(expectedPoints.begin(), expectedPoints.end());
+ std::sort(expectedArcs.begin(), expectedArcs.end(), compareArcs);
+
+ bool equal = true;
+ if (actualPoints.size() != expectedPoints.size()) {
+ equal = false;
+ }
+ if (actualArcs.size() != expectedArcs.size()) {
+ equal = false;
+ }
+
+ constexpr double eps = 1e-8;
+
+ if (equal) {
+ for (std::size_t i = 0; i < actualPoints.size(); i++) {
+ if (!pointWithinTolerance(actualPoints[i], expectedPoints[i], eps)) {
+ equal = false;
+ }
+ }
+ for (std::size_t i = 0; i < actualArcs.size(); i++) {
+ if (actualArcs[i].getOrientation() != expectedArcs[i].getOrientation()) {
+ equal = false;
+ }
+
+ if (std::abs(actualArcs[i].getRadius() - expectedArcs[i].getRadius()) > eps) {
+ equal = false;
+ }
+
+ if (!pointWithinTolerance(actualArcs[i].getCenter(), expectedArcs[i].getCenter(), eps)) {
+ equal = false;
+ }
+
+ if (!pointWithinTolerance(actualArcs[i].p0, expectedArcs[i].p0, eps)) {
+ equal = false;
+ }
+
+ if (!pointWithinTolerance(actualArcs[i].p2, expectedArcs[i].p2, eps)) {
+ equal = false;
+ }
+ }
+ }
+
+ if (equal) {
+ return;
+ }
+
+ std::string actual;
+ for (const auto& pt : actualPoints) {
+ if (!actual.empty()) {
+ actual += ", ";
+ }
+ actual += toWKT(pt);
+ }
+ for (const auto& arc : actualArcs) {
+ if (!actual.empty()) {
+ actual += ", ";
+ }
+ actual += toWKT(arc);
+ }
+
+ std::string expected;
+ for (const auto& pt : expectedPoints) {
+ if (!expected.empty()) {
+ expected += ", ";
+ }
+ expected += toWKT(pt);
+ }
+ for (const auto& arc : expectedArcs) {
+ if (!expected.empty()) {
+ expected += ", ";
+ }
+ expected += toWKT(arc);
+ }
+
+ ensure_equals(actual, expected);
+ }
+
+ const CoordinateXY _NW = { -std::sqrt(2)/2, std::sqrt(2)/2 };
+ const CoordinateXY _N = { 0, 1};
+ const CoordinateXY _NE = { std::sqrt(2)/2, std::sqrt(2)/2 };
+ const CoordinateXY _E = { 1, 0};
+ const CoordinateXY _SE = { std::sqrt(2)/2, -std::sqrt(2)/2 };
+ const CoordinateXY _S = { 0, -1};
+ const CoordinateXY _SW = { -std::sqrt(2)/2, -std::sqrt(2)/2 };
+ const CoordinateXY _W = { -1, 0};
+};
+
+using group = test_group<test_circulararcintersector_data>;
+using object = group::object;
+
+group test_circulararcintersector_group("geos::algorithm::CircularArcIntersector");
+
+template<>
+template<>
+void object::test<1>()
+{
+ set_test_name("interior/interior intersection (one point)");
+
+ checkIntersection({0, 0}, {1, std::sqrt(3)}, {2, 2},
+ {0, 2}, {1, std::sqrt(3)}, {2, 0},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{1, std::sqrt(3)});
+}
+
+template<>
+template<>
+void object::test<2>()
+{
+ set_test_name("interior/interior intersection (two points)");
+
+ // result from CGAL 5.4
+ checkIntersection({0, 0}, {2, 2}, {4, 0},
+ {0, 1}, {2, -1}, {4, 1},
+ CircularArcIntersector::TWO_POINT_INTERSECTION,
+ CoordinateXY{0.0635083268962914893, 0.5},
+ CoordinateXY{3.93649167310370851, 0.5});
+}
+
+template<>
+template<>
+void object::test<3>()
+{
+ set_test_name("single endpoint-endpoint intersection");
+
+ checkIntersection({0, 0}, {1, 1}, {2, 0},
+ {2, 0}, {3, -1}, {4, 0},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{2, 0});
+}
+
+template<>
+template<>
+void object::test<4>()
+{
+ set_test_name("single interior-interior intersection at point of tangency");
+
+ checkIntersection({0, 0}, {1, 1}, {2, 0},
+ {0, 2}, {1, 1}, {2, 2},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{1, 1});
+}
+
+template<>
+template<>
+void object::test<5>()
+{
+ set_test_name("supporting circles intersect but arcs do not");
+
+ checkIntersection({0, 0}, {2, 2}, {4, 0},
+ {1, 1}, {0, -1}, {-1, 1},
+ CircularArcIntersector::NO_INTERSECTION);
+
+}
+
+template<>
+template<>
+void object::test<6>()
+{
+ set_test_name("one circle contained within other");
+
+ checkIntersection({0, 0}, {4, 4}, {8, 0},
+ {2, 0}, {4, 2}, {6, 0},
+ CircularArcIntersector::NO_INTERSECTION);
+}
+
+template<>
+template<>
+void object::test<7>()
+{
+ set_test_name("cocircular with double endpoint intersection");
+
+ checkIntersection({0, 0}, {1, 1}, {2, 0},
+ {0, 0}, {1, -1}, {2, 0},
+ CircularArcIntersector::TWO_POINT_INTERSECTION,
+ CoordinateXY{0, 0}, CoordinateXY{2, 0});
+}
+
+template<>
+template<>
+void object::test<8>()
+{
+ set_test_name("cocircular with single endpoint intersection");
+
+ checkIntersection({-2, 0}, {0, 2}, {2, 0},
+ {0, -2}, {std::sqrt(2), -std::sqrt(2)}, {2, 0},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{2, 0});
+}
+
+template<>
+template<>
+void object::test<9>()
+{
+ set_test_name("cocircular disjoint");
+
+ checkIntersection(_NW, _N, _NE,
+ _SW, _S, _SE,
+ CircularArcIntersector::NO_INTERSECTION);
+}
+
+template<>
+template<>
+void object::test<10>()
+{
+ set_test_name("cocircular with single arc intersection (clockwise)");
+
+ checkIntersection({-5, 0}, {0, 5}, {5, 0}, // CW
+ {-4, 3}, {0, 5}, {4, 3}, // CW
+ CircularArcIntersector::COCIRCULAR_INTERSECTION,
+ CircularArc{{-4, 3}, {0, 5}, {4, 3}}); // CW
+}
+
+template<>
+template<>
+void object::test<11>()
+{
+ set_test_name("cocircular with single arc intersection (counter-clockwise)");
+
+ checkIntersection({5, 0}, {0, 5}, {-5, 0}, // CCW
+ {-4, 3}, {0, 5}, {4, 3}, // CW
+ CircularArcIntersector::COCIRCULAR_INTERSECTION,
+ CircularArc{{4, 3}, {0, 5}, {-4, 3}}); // CCW
+}
+
+template<>
+template<>
+void object::test<12>()
+{
+ set_test_name("cocircular with arc and point intersections");
+
+ checkIntersection({-5, 0}, {0, 5}, {5, 0},
+ {5, 0}, {0, -5}, {0, 5},
+ CircularArcIntersector::COCIRCULAR_INTERSECTION,
+ CircularArc{{-5, 0}, {-5*std::sqrt(2)/2, 5*std::sqrt(2)/2}, {0, 5}},
+ CoordinateXY{5, 0});
+}
+
+template<>
+template<>
+void object::test<13>()
+{
+ set_test_name("cocircular with two arc intersections");
+
+ checkIntersection({-5, 0}, {0, 5}, {5, 0},
+ {3, 4}, {0, -5}, {-3, 4},
+ CircularArcIntersector::COCIRCULAR_INTERSECTION,
+ CircularArc{{3, 4}, {4.4721359549995796, 2.2360679774997898}, {5, 0}},
+ CircularArc{{-5, 0}, {-4.4721359549995796, 2.2360679774997907}, {-3, 4}});
+}
+
+template<>
+template<>
+void object::test<20>()
+{
+ set_test_name("arc - degenerate arc with single interior intersection");
+
+ checkIntersection({0, 0}, {2, 2}, {4, 0}, // CW arc
+ {-1, -4}, {1, 0}, {3, 4}, // degenerate arc
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{2, 2});
+
+ checkIntersection({-1, -4}, {1, 0}, {3, 4}, // degenerate arc
+ {0, 0}, {2, 2}, {4, 0}, // CW arc
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{2, 2});
+}
+
+template<>
+template<>
+void object::test<21>()
+{
+ set_test_name("two degenerate arcs with single interior intersection");
+
+ checkIntersection({0, 0}, {4, 4}, {10, 10},
+ {10, 0}, {1, 9}, {0, 10},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{5, 5});
+}
+
+template<>
+template<>
+void object::test<30>()
+{
+ set_test_name("arc-segment with single interior intersection");
+
+ checkIntersection({0, 0}, {2, 2}, {4, 0},
+ {1, 0}, {3, 4},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ {2, 2});
+}
+
+template<>
+template<>
+void object::test<31>()
+{
+ set_test_name("arc-vertical segment with single interior intersection");
+
+ checkIntersection({-2, 0}, {0, 2}, {2, 0},
+ {0, 0}, {0, 4},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ {0, 2});
+}
+
+template<>
+template<>
+void object::test<32>()
+{
+ set_test_name("arc-segment with two interior intersections");
+
+ checkIntersection(_W, _E, _SW,
+ {-10, 10}, {10, -10},
+ CircularArcIntersector::TWO_POINT_INTERSECTION,
+ _NW, _SE);
+}
+
+template<>
+template<>
+void object::test<33>()
+{
+ set_test_name("arc-vertical segment with two interior intersections");
+
+ checkIntersection(_W, _E, _SW,
+ {0, -2}, {0, 2},
+ CircularArcIntersector::TWO_POINT_INTERSECTION,
+ _S, _N);
+}
+
+template<>
+template<>
+void object::test<34>()
+{
+ set_test_name("arc-segment disjoint with bbox containment");
+
+ checkIntersection(_W, _N, _E,
+ {0, 0}, {0.2, 0.2},
+ CircularArcIntersector::NO_INTERSECTION);
+}
+
+template<>
+template<>
+void object::test<35>()
+{
+ set_test_name("degenerate arc-segment with interior intersection");
+
+ checkIntersection({-5, -5}, {0, 0}, {5, 5},
+ {-5, 5}, {5, -5},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ {0, 0});
+}
+
+template<>
+template<>
+void object::test<36>()
+{
+ set_test_name("intersection between a segment and a degenerate arc (radius = Infinity)");
+
+ checkIntersection({-5, -5}, {0, 0}, {5, 5 + 1e-14},
+ {-5, 5}, {5, -5},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{0, 0});
+}
+
+template<>
+template<>
+void object::test<37>()
+{
+ set_test_name("intersection between a segment and a nearly-degenerate arc (radius ~= 1e5)");
+
+ checkIntersection({-5, -5}, {0, 0}, {5, 5 + 1e-4},
+ {-5, 5}, {5, -5},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{0, 0});
+}
+
+template<>
+template<>
+void object::test<38>()
+{
+ set_test_name("arc-segment tests from ILI validator");
+ // https://github.com/claeis/iox-ili/blob/master/jtsext/src/test/java/ch/interlis/iom_j/itf/impl/hrg/ISCILRTest.java
+
+ // test_1a
+ checkIntersection({0, 5}, {5, 0}, {0, -5},
+ {20, 5}, {20, -5},
+ CircularArcIntersector::NO_INTERSECTION),
+
+ // test_2a
+ checkIntersection({0, 5}, {5, 0}, {0, -5},
+ {5, 5}, {5, 0},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ {5, 0});
+
+ // test_2b
+ checkIntersection({0, 5}, {5, 0}, {0, -5},
+ {5, 5}, {5, -5},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ {5, 0});
+
+ // test_2c
+ checkIntersection({0, 5}, {4, 3}, {0, -5},
+ {5, 5}, {5, 0},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ {5, 0});
+
+ // test_2d
+ checkIntersection({0, 5}, {4, 3}, {0, -5},
+ {5, 5}, {5, -5},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ {5, 0});
+
+ // test_3a
+ checkIntersection({0, 5}, {5, 0}, {0, -5},
+ {4, 5}, {4, -5},
+ CircularArcIntersector::TWO_POINT_INTERSECTION,
+ {4, 3}, {4, -3});
+
+ // test_3b
+ checkIntersection({0, 5}, {5, 0}, {0, -5},
+ {-4, 5}, {-4, -5},
+ CircularArcIntersector::NO_INTERSECTION);
+
+ // test_3c
+ checkIntersection({0, 5}, {5, 0}, {0, -5},
+ {4, 10}, {4, 5},
+ CircularArcIntersector::NO_INTERSECTION);
+
+
+ // test_3d
+ checkIntersection({0, 5}, {3, 4}, {5, 0},
+ {4, 5}, {4, -5},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ {4, 3});
+
+ // test_3e
+ checkIntersection({0, 5}, {5, 0}, {0, -5},
+ {4, 5}, {4, 0},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ {4, 3});
+}
+
+template<>
+template<>
+void object::test<39>()
+{
+ set_test_name("arc-arc tests from ILI validator");
+ // https://github.com/claeis/iox-ili/blob/master/jtsext/src/test/java/ch/interlis/iom_j/itf/impl/hrg/ISCICRTest.java
+
+ // test_1: circles do not overlap
+ checkIntersection({0, 5}, {5, 0}, {0, -5},
+ {20, 5}, {15, 0}, {20, -5},
+ CircularArcIntersector::NO_INTERSECTION);
+
+ // test_2a: arcs overlap at a point
+ checkIntersection({0, 5}, {5, 0}, {0, -5},
+ {10, 5}, {5, 0}, {10, -5},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{5, 0});
+ // test_2b: arcs overlap at a point that is not a definition point of either arc
+ checkIntersection({0, 5}, {4, 3}, {0, -5},
+ {10, 5}, {6, 3}, {10, -5},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{5, 0});
+
+ // test_3a: circles overlap at two points that are within both arcs
+ checkIntersection({0, 5}, {5, 0}, {0, -5},
+ {8, 5}, {3, 0}, {8, -5},
+ CircularArcIntersector::TWO_POINT_INTERSECTION,
+ CoordinateXY{4, 3}, CoordinateXY{4, -3});
+
+ // test_3b: circles overlap at two points but neither is on the first arc
+ checkIntersection({0, 5}, {-5, 0}, {0, -5},
+ {8, 5}, {3, 0}, {8, -5},
+ CircularArcIntersector::NO_INTERSECTION);
+
+ // test_3c: circles overlap at two points but neither is on the first or second arc
+ checkIntersection({0, 5}, {-5, 0}, {0, -5},
+ {8, 5}, {13, 0}, {8, -5},
+ CircularArcIntersector::NO_INTERSECTION);
+
+ // test_3d: circles overlap at two points but one is not on the first arc
+ checkIntersection({5, 0}, {3, -4}, {0, -5},
+ {8, 5}, {3, 0}, {8, -5},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{4, -3});
+
+ // test_3e: circles overlap at two points but one is not on the second arc
+ checkIntersection({0, 5}, {5, 0}, {0, -5},
+ {3, 0}, {5, -4}, {8, -5},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{4, -3});
+
+ // test_4a: cocircular
+ checkIntersection({0, 5}, {5, 0}, {0, -5},
+ {4, 3}, {5, 0}, {4, -3},
+ CircularArcIntersector::COCIRCULAR_INTERSECTION,
+ CircularArc{{4, 3}, {5, 0}, {4, -3}});
+}
+
+#if 0
+// failed assertion: Values are not equal: expected `POINT (0 0)` actual `POINT (-5.4568517953157425e-06 5.4568517953157425e-06)`
+template<>
+template<>
+void object::test<40>()
+{
+ set_test_name("intersection between a segment and a nearly-degenerate arc (radius ~= 2e6)");
+
+ checkIntersection({-5, -5}, {0, 0}, {5, 5 + 1e-9},
+ {-5, 5}, {5, -5},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{0, 0});
+}
+#endif
+
+template<>
+template<>
+void object::test<41>()
+{
+ set_test_name("IOX-ILI: testFastGerade");
+
+ checkIntersection({611770.424, 234251.322}, {611770.171, 234250.059}, {611769.918, 234248.796},
+ {611613.84, 233467.819},
+ {611610.392, 233468.995},
+ CircularArcIntersector::NO_INTERSECTION);
+}
+
+#if 0
+template<>
+template<>
+void object::test<42>()
+{
+ set_test_name("IOX-ILI: testCircleCircleEndptTolerance");
+ // two nearly-linear arcs touching at a single endpoint
+ // Potential fix is to use tolerance for checking if computed points are within arc.
+
+ checkIntersection({645175.553, 248745.374}, { 645092.332, 248711.677}, { 645009.11, 248677.98},
+ {645009.11, 248677.98}, {644926.69, 248644.616}, { 644844.269, 248611.253},
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{645009.110, 248677.980});
+}
+#endif
+
+template<>
+template<>
+void object::test<43>()
+{
+ set_test_name("IOX-ILI: overlayTwoARCS_SameEndPoints_SameDirection");
+ // two arcs with same arcPoint and radius.
+ // startPoints and endPoints are same. lines are in same direction
+
+ checkIntersection(
+ {100.0, 100.0},{120,150.0},{100.0,200.0},
+ {100.0, 100.0},{120,150.0},{100.0,200.0},
+ CircularArcIntersector::COCIRCULAR_INTERSECTION,
+ CircularArc{{100.0, 100.0}, {120, 150}, {100, 200}});
+}
+
+template<>
+template<>
+void object::test<44>()
+{
+ set_test_name("IOX-ILI: overlayTwoARCS_DifferentArcPointOnSameArcLine_SameDirection");
+ // two arcs with different arcPoint (on same arcLine) and same radius length.
+ // startPoints and endPoints are same. lines are in same direction.
+
+ checkIntersection(
+ {0.0, 10.0},{4.0,8.0},{0.0,0.0},
+ {0.0, 10.0},{4.0,2.0},{0.0,0.0},
+ CircularArcIntersector::COCIRCULAR_INTERSECTION,
+ CircularArc{{0, 10}, {5, 5}, {0, 0}});
+}
+
+template<>
+template<>
+void object::test<45>()
+{
+ set_test_name("IOX-ILI: overlayTwoARCS_SameArcPointOnSameArcLine_OneArcLineIsLonger");
+ // two arcs with same arcPoint (on same arcLine) and same radius length.
+ // one arc line is longer than the other arc line.
+ // startPoints is same, endPoints are different. lines are in same direction.
+
+ checkIntersection(
+ {0.0, 10.0},{4.0,8.0},{0.0,0.0},
+ {0.0, 10.0},{4.0,8.0},{4.0,2.0},
+ CircularArcIntersector::COCIRCULAR_INTERSECTION,
+ CircularArc{{0, 10}, {4, 2}, {0, 5}, 5, Orientation::CLOCKWISE});
+}
+
+template<>
+template<>
+void object::test<46>()
+{
+ set_test_name("IOX-ILI: overlayTwoARCS_SameEndPoints_OtherDirection");
+ // two arcs with same arcPoint and radius
+ // startPoint1 is equal to endPoint2, startPoint2 is equal to endPoint1.
+
+ checkIntersection(
+ CircularArc({100.0, 100.0}, {80.0, 150.0}, {100.0, 200.0}),
+ CircularArc({100.0, 200.0}, {80.0, 150.0}, {100.0, 100.0}),
+ CircularArcIntersector::COCIRCULAR_INTERSECTION,
+ CircularArc({100.0, 100.0}, {80.0, 150.0}, {100.0, 200.0}));
+}
+
+template<>
+template<>
+void object::test<47>()
+{
+ set_test_name("IOX-ILI: overlayTwoARCS_DifferentStartPoints_SameDirection_DifferentLength");
+ // two arcs. ArcPoint is equal. different angle.
+ // startPoints are different. endPoints are same.
+ CircularArc a({70.0, 60.0}, {50.0, 100.0}, {60.0, 130.0});
+ CircularArc b({60.0, 70.0}, {50.0, 100.0}, {60.0, 130.0});
+
+ checkIntersection(a, b,
+ CircularArcIntersector::COCIRCULAR_INTERSECTION,
+ CircularArc({60, 70}, {60, 130}, a.getCenter(), a.getRadius(), a.getOrientation()));
+}
+
+template<>
+template<>
+void object::test<48>()
+{
+ set_test_name("IOX-ILI: overlayTwoARCS_DifferentStartEndPoints_OtherDirection_DifferentLength");
+ // Two cocircular arcs with opposite orientation.
+ // ArcPoint is equal.
+ // startPoints are different. endPoints are different.
+
+ CircularArc a({70.0, 60.0}, {50.0, 100.0}, {70.0, 140.0});
+ CircularArc b({60.0, 130.0}, {50.0, 100.0}, {60.0, 70.0});
+
+ checkIntersection(a, b,
+ CircularArcIntersector::COCIRCULAR_INTERSECTION,
+ CircularArc({60, 70}, {60, 130}, a.getCenter(), a.getRadius(), a.getOrientation()));
+
+}
+
+template<>
+template<>
+void object::test<49>()
+{
+ set_test_name("IOX-ILI: overlayTwoARCS_DifferentEndPoints_SameDirection_DifferentLength");
+ // Two arcs with same orientation.
+ // ArcPoint is equal.
+ // startPoints are same, endpoints are different
+
+ CircularArc a({70.0, 60.0}, {50.0, 100.0}, {70.0, 140.0});
+ CircularArc b({70.0, 60.0}, {50.0, 100.0}, {60.0, 130.0});
+
+ checkIntersection(a, b,
+ CircularArcIntersector::COCIRCULAR_INTERSECTION, b);
+}
+
+template<>
+template<>
+void object::test<50>()
+{
+ set_test_name("IOX-ILI: overlayTwoARCS_DifferentEndPoints_OtherDirection_DifferentLength");
+ // Two arcs with opposite orientation.
+ // ArcPoint is equal.
+ // One endpoint is the same, one is different.
+
+
+ CircularArc a({70.0, 60.0}, {50.0, 100.0}, {70.0, 140.0});
+ CircularArc b({60.0, 130.0}, {50.0, 100.0}, {70.0, 60.0});
+
+ checkIntersection(a, b,
+ CircularArcIntersector::COCIRCULAR_INTERSECTION,
+ CircularArc({70, 60}, {60, 130}, a.getCenter(), a.getRadius(), a.getOrientation()));
+}
+
+template<>
+template<>
+void object::test<51>()
+{
+ set_test_name("IOX-ILI: twoARCS_SameRadiusAndCenter_DontOverlay");
+ // two arcs with same center and radius that don't touch each other.
+
+ CircularArc a({70.0, 60.0}, {50.0, 100.0}, {70.0, 140.0});
+ CircularArc b({140.0, 70.0}, {150.0, 100.0}, {140.0, 130.0});
+
+ checkIntersection(a, b, CircularArcIntersector::NO_INTERSECTION);
+}
+
+template<>
+template<>
+void object::test<52>()
+{
+ set_test_name("IOX-ILI: twoARCS_SameRadiusAndCenter_Touch_DontOverlay");
+ // Two arcs with same radius and center that touch at the endpoints
+
+ CircularArc a({50.0, 100.0}, {100.0, 150.0}, {150.0, 100.0});
+ CircularArc b({150.0, 100.0}, {100.0, 50.0}, {50.0, 100.0});
+
+ checkIntersection(a, b, CircularArcIntersector::TWO_POINT_INTERSECTION, a.p0, a.p2);
+}
+
+#if 0
+template<>
+template<>
+void object::test<53>()
+{
+ set_test_name("IOX-ILI: twoARCS_SameRadiusAndCenter_Touch_DontOverlay_real");
+ // arcs touch at endpoints
+ // Potential fix is to use tolerance for checking if computed points are within arc.
+
+ CircularArc a({2654828.912, 1223354.671}, {2654829.982, 1223353.601}, {2654831.052, 1223354.671});
+ CircularArc b({2654831.052, 1223354.671}, {2654829.982, 1223355.741}, {2654828.912, 1223354.671});
+
+ checkIntersection(a, b, CircularArcIntersector::TWO_POINT_INTERSECTION, a.p0, a.p2);
+}
+#endif
+
+template<>
+template<>
+void object::test<54>()
+{
+ set_test_name("IOX-ILI: twoARCS_intersect0");
+ // https://github.com/claeis/ilivalidator/issues/186
+
+ CircularArc a({2658317.225, 1250832.586}, {2658262.543, 1250774.465}, {2658210.528, 1250713.944});
+ CircularArc b({2658211.456, 1250715.072}, {2658161.386, 1250651.279}, {2658114.283, 1250585.266});
+
+ // An intersection is visually apparent in QGIS, but CGAL 5.6 reports no intersections...
+ checkIntersection(a, b, CircularArcIntersector::NO_INTERSECTION);
+}
+
+template<>
+template<>
+void object::test<55>()
+{
+ set_test_name("IOX-ILI: twoARCS_issue308");
+ // https://github.com/claeis/ili2db/issues/308
+
+ CircularArc a({2653134.354, 1227788.188}, {2653137.455, 1227797.289}, {2653140.555, 1227806.391});
+ CircularArc b({2653135.557, 1227789.0}, {2653134.819, 1227788.796}, {2653134.354, 1227788.188});
+
+ // expected result calculated with CGAL 5.6
+ checkIntersection(a, b,
+ CircularArcIntersector::ONE_POINT_INTERSECTION,
+ CoordinateXY{2653134.35399999982, 1227788.18800000008});
+}
+
+}
\ No newline at end of file
diff --git a/tests/unit/algorithm/CircularArcsTest.cpp b/tests/unit/algorithm/CircularArcsTest.cpp
index e40aa3435..96082078b 100644
--- a/tests/unit/algorithm/CircularArcsTest.cpp
+++ b/tests/unit/algorithm/CircularArcsTest.cpp
@@ -2,10 +2,13 @@
#include <geos/geom/Coordinate.h>
#include <geos/algorithm/CircularArcs.h>
+#include <geos/geom/CircularArc.h>
+using geos::geom::CircularArc;
using geos::geom::CoordinateXY;
using geos::algorithm::CircularArcs;
using geos::geom::Envelope;
+using geos::MATH_PI;
namespace tut {
@@ -35,6 +38,25 @@ struct test_circulararcs_data {
ensure_equals("p2-p1-p0 ymax", e.getMaxY(), ymax, eps);
}
}
+
+ static std::string toWKT(const CoordinateXY& p0, const CoordinateXY& p1, const CoordinateXY& p2)
+ {
+ std::stringstream ss;
+ ss << "CIRCULARSTRING (" << p0 << ", " << p1 << ", " << p2 << ")";
+ return ss.str();
+ }
+
+ void checkArc(std::string message,
+ const CoordinateXY& center, double radius, bool ccw, double from, double to,
+ const CoordinateXY& p0, const CoordinateXY& p1, const CoordinateXY& p2) const
+ {
+ CircularArc arc(from, to, center, radius, ccw);
+
+ if (arc.p0.distance(p0) > eps || arc.p1.distance(p1) > eps || arc.p2.distance(p2) > eps) {
+ ensure_equals(message, toWKT(arc.p0, arc.p1, arc.p2), toWKT(p0, p1, p2));
+ }
+ }
+
};
using group = test_group<test_circulararcs_data>;
@@ -188,11 +210,11 @@ void object::test<11>()
-1, -1, 2, 2);
}
-// collinear
template<>
template<>
void object::test<12>()
{
+ set_test_name("envelope: arc defined by three collinear points");
CoordinateXY p0{1, 2};
CoordinateXY p1{2, 3};
@@ -202,11 +224,12 @@ void object::test<12>()
1, 2, 3, 4);
}
-// repeated
template<>
template<>
void object::test<13>()
{
+ set_test_name("envelope: arc defined by three repeated points");
+
CoordinateXY p0{3, 4};
CoordinateXY p1{3, 4};
CoordinateXY p2{3, 4};
@@ -217,9 +240,7 @@ void object::test<13>()
template<>
template<>
-void object::test<14>()
-{
- set_test_name("envelope: GH #1313");
+void object::test<14>() {
CoordinateXY p0{2, 0};
CoordinateXY p1{4, 2};
@@ -229,5 +250,60 @@ void object::test<14>()
2, -1.0811388300841898, 5.08113883008419,2.08113883008419);
}
+template<>
+template<>
+void object::test<15>()
+{
+ set_test_name("createArc");
+
+ constexpr bool CCW = true;
+ constexpr bool CW = false;
+
+ checkArc("CCW: upper half-circle", {0, 0}, 1, CCW, 0, MATH_PI, {1, 0}, {0, 1}, {-1, 0});
+ checkArc("CCW: lower half-circle", {0, 0}, 1, CCW, MATH_PI, 0, {-1, 0}, {0, -1}, {1, 0});
+ checkArc("CCW: left half-circle", {0, 0}, 1, CCW, MATH_PI/2, -MATH_PI/2, {0, 1}, {-1, 0}, {0, -1});
+ checkArc("CCW: right half-circle", {0, 0}, 1, CCW, -MATH_PI/2, MATH_PI/2, {0, -1}, {1, 0}, {0, 1});
+
+ checkArc("CW: upper half-circle", {0, 0}, 1, CW, MATH_PI, 0, {-1, 0}, {0, 1}, {1, 0});
+ checkArc("CW: lower half-circle", {0, 0}, 1, CW, 0, MATH_PI, {1, 0}, {0, -1}, {-1, 0});
+ checkArc("CW: left half-circle", {0, 0}, 1, CW, -MATH_PI/2, MATH_PI/2, {0, -1}, {-1, 0}, {0, 1});
+ checkArc("CW: right half-circle", {0, 0}, 1, CW, MATH_PI/2, -MATH_PI/2, {0, 1}, {1, 0}, {0, -1});
+}
+
+template<>
+template<>
+void object::test<16>()
+{
+ set_test_name("splitAtPoint");
+
+ CircularArc cwArc({-1, 0}, {0, 1}, {1, 0});
+ auto [arc1, arc2] = cwArc.splitAtPoint({std::sqrt(2)/2, std::sqrt(2)/2});
+
+ ensure_equals(arc1.p0, CoordinateXY{-1, 0});
+ ensure_equals(arc1.p2, CoordinateXY{std::sqrt(2)/2, std::sqrt(2)/2});
+ ensure_equals(arc1.getCenter(), cwArc.getCenter());
+ ensure_equals(arc1.getRadius(), cwArc.getRadius());
+
+ ensure_equals(arc2.p0, CoordinateXY{std::sqrt(2)/2, std::sqrt(2)/2});
+ ensure_equals(arc2.p2, CoordinateXY{1, 0});
+ ensure_equals(arc2.getCenter(), cwArc.getCenter());
+ ensure_equals(arc2.getRadius(), cwArc.getRadius());
+
+ ensure_equals(cwArc.getLength(), arc1.getLength() + arc2.getLength());
+}
+
+template<>
+template<>
+void object::test<17>() {
+ set_test_name("getSagitta");
+
+ CircularArc halfCircle({-1, 0}, {0, 1}, {1, 0});
+ ensure_equals(halfCircle.getSagitta(), 1);
+
+ CircularArc quarterCircle({0, 1}, {std::sqrt(2)/2, std::sqrt(2)/2}, {1, 0});
+ ensure_equals(quarterCircle.getSagitta(),
+ CoordinateXY{std::sqrt(2)/2, std::sqrt(2)/2}.distance(CoordinateXY{0.5, 0.5}));
+}
+
}
diff --git a/tests/unit/geom/CircularArcTest.cpp b/tests/unit/geom/CircularArcTest.cpp
index a1f730091..024820bb6 100644
--- a/tests/unit/geom/CircularArcTest.cpp
+++ b/tests/unit/geom/CircularArcTest.cpp
@@ -14,7 +14,8 @@ struct test_circulararc_data {
const double eps = 1e-8;
- void checkAngle(const CoordinateXY& p0, const CoordinateXY& p1, const CoordinateXY& p2, double expected) {
+ void checkAngle(const CoordinateXY& p0, const CoordinateXY& p1, const CoordinateXY& p2, double expected)
+ {
CircularArc arc(p0, p1, p2);
ensure_equals(p0.toString() + " / " + p1.toString() + " / " + p2.toString(), arc.getAngle(), expected, eps);
@@ -22,7 +23,8 @@ struct test_circulararc_data {
ensure_equals(p2.toString() + " / " + p1.toString() + " / " + p0.toString(), rev.getAngle(), expected, eps);
}
- void checkLength(const CoordinateXY& p0, const CoordinateXY& p1, const CoordinateXY& p2, double expected) {
+ void checkLength(const CoordinateXY& p0, const CoordinateXY& p1, const CoordinateXY& p2, double expected)
+ {
CircularArc arc(p0, p1, p2);
ensure_equals(p0.toString() + " / " + p1.toString() + " / " + p2.toString(), arc.getLength(), expected, eps);
@@ -36,11 +38,12 @@ using object = group::object;
group test_circulararc_group("geos::geom::CircularArc");
-// test angle() on unit circle
template<>
template<>
void object::test<1>()
{
+ set_test_name("CircularArc::getAngle() on a unit circle");
+
auto x = std::sqrt(2.0)/2;
// full circle
@@ -65,27 +68,57 @@ void object::test<1>()
checkAngle({x, -x}, {-1, 0}, {x, x}, 1.5*MATH_PI); // mouth right
}
-// test length()
template<>
template<>
void object::test<2>()
{
+ set_test_name("CircularArc::getLength()");
+
checkLength({1.6, 0.4}, {1.6, 0.5}, {1.7, 1}, 0.6122445326877711);
}
-
-// test getArea()
template<>
template<>
void object::test<3>()
{
+ set_test_name("CircularArc::getArea()");
+
ensure_equals("half circle, R=2", CircularArc({-2, 0}, {0, 2}, {2, 0}).getArea(), MATH_PI*2);
ensure_equals("full circle, R=3", CircularArc({-3, 0}, {3, 0}, {-3, 0}).getArea(), MATH_PI*3*3);
- ensure_equals("3/4, mouth up, R=2", CircularArc({-std::sqrt(2), std::sqrt(2)}, {0, -2}, {std::sqrt(2), std::sqrt(2)}).getArea(), MATH_PI*4 - 2*(MATH_PI/2-1), 1e-8);
+ ensure_equals("3/4, mouth up, R=2", CircularArc({-std::sqrt(2), std::sqrt(2)}, {0, -2}, {std::sqrt(2), std::sqrt(2)}).getArea(),
+ MATH_PI*4 - 2*(MATH_PI/2-1), 1e-8);
- ensure_equals("1/4, pointing up, R=2", CircularArc({-std::sqrt(2), std::sqrt(2)}, {0, 2}, {std::sqrt(2), std::sqrt(2)}).getArea(), 2*(MATH_PI/2-1), 1e-8);
+ ensure_equals("1/4, pointing up, R=2", CircularArc({-std::sqrt(2), std::sqrt(2)}, {0, 2}, {std::sqrt(2), std::sqrt(2)}).getArea(),
+ 2*(MATH_PI/2-1), 1e-8);
+}
+
+template<>
+template<>
+void object::test<4>()
+{
+ set_test_name("CircularArc::isLinear()");
+
+ ensure_equals("not linear", CircularArc({-1, 0}, {0, 1}, {1, 0}).isLinear(), false);
+ ensure_equals("linear", CircularArc({0, 0}, {1, 1}, {2, 2}).isLinear(), true);
+}
+
+template<>
+template<>
+void object::test<5>()
+{
+ set_test_name("CircularArc::containsPointOnCircle");
+
+ // complete circle
+ CircularArc({5, 0}, {-5, 0}, {5, 0}).containsPointOnCircle({5, 0});
+ CircularArc({5, 0}, {-5, 0}, {5, 0}).containsPointOnCircle({4, 3});
+
+ // lower semi-circle
+ CircularArc({-5, 0}, {0, -5}, {5, 0}).containsPointOnCircle({5, 0});
+
+ // upper semi-circle
+ CircularArc({-5, 0}, {0, 5}, {5, 0}).containsPointOnCircle({5, 0});
}
}
diff --git a/tests/unit/utility.h b/tests/unit/utility.h
index a4ddbe6a8..5d3993d10 100644
--- a/tests/unit/utility.h
+++ b/tests/unit/utility.h
@@ -113,16 +113,16 @@ instanceOf(InstanceType const* instance)
}
inline void
-ensure_equals_xy(geos::geom::Coordinate const& actual,
- geos::geom::Coordinate const& expected)
+ensure_equals_xy(geos::geom::CoordinateXY const& actual,
+ geos::geom::CoordinateXY const& expected)
{
ensure_equals("Coordinate X", actual.x, expected.x );
ensure_equals("Coordinate Y", actual.y, expected.y );
}
inline void
-ensure_equals_xy(geos::geom::Coordinate const& actual,
- geos::geom::Coordinate const& expected,
+ensure_equals_xy(geos::geom::CoordinateXY const& actual,
+ geos::geom::CoordinateXY const& expected,
double tol)
{
ensure_equals("Coordinate X", actual.x, expected.x, tol );
-----------------------------------------------------------------------
Summary of changes:
include/geos/algorithm/Angle.h | 9 +
include/geos/algorithm/CircularArcIntersector.h | 97 +++
include/geos/algorithm/CircularArcs.h | 12 +
include/geos/geom/CircularArc.h | 78 +-
include/geos/math/DD.h | 1 +
.../geos/triangulate/quadedge/TrianglePredicate.h | 2 +-
src/algorithm/Angle.cpp | 9 +
src/algorithm/CircularArcIntersector.cpp | 328 ++++++++
src/algorithm/CircularArcs.cpp | 100 ++-
src/math/DD.cpp | 5 +
tests/unit/algorithm/AngleTest.cpp | 35 +-
.../unit/algorithm/CircularArcIntersectorTest.cpp | 884 +++++++++++++++++++++
tests/unit/algorithm/CircularArcsTest.cpp | 86 +-
tests/unit/geom/CircularArcTest.cpp | 49 +-
tests/unit/utility.h | 8 +-
15 files changed, 1648 insertions(+), 55 deletions(-)
create mode 100644 include/geos/algorithm/CircularArcIntersector.h
create mode 100644 src/algorithm/CircularArcIntersector.cpp
create mode 100644 tests/unit/algorithm/CircularArcIntersectorTest.cpp
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