Examples of PolygonsSet

org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet
This class represents a 2D region: a set of polygons. @since 3.0

Examples of org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet


    /** Build a region covering the whole hyperplane.
     * @return a region covering the whole hyperplane
     */
    public SubPlane wholeHyperplane() {
        return new SubPlane(this, new PolygonsSet());
    }

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Examples of org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet

            SubLine lineInPlane = null;
            for (int ptIdx = 0; ptIdx < projPts.length; ptIdx++) {
                lineInPlane = new SubLine(projPts[ptIdx], projPts[(ptIdx + 1) % projPts.length]);
                lines.add(lineInPlane);
            }
            Region<Euclidean2D> polyRegion = new PolygonsSet(lines);
            SubPlane polygon = new SubPlane(polyPlane, polyRegion);
            subHyperplaneList.add(polygon);
        }
        PolyhedronsSet polyhedronsSet = new PolyhedronsSet(subHyperplaneList);
        Assert.assertEquals( 8.0, polyhedronsSet.getSize(), 3.0e-6);

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Examples of org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet

                new Vector2D(29.0, 19.0),
                new Vector2D(23.0, 22.0),
                new Vector2D(33.0, 25.0)
            }
        };
        PolygonsSet set = buildSet(vertices);
        Assert.assertEquals(Region.Location.OUTSIDE, set.checkPoint(new Vector2D(50.0, 30.0)));
        checkPoints(Region.Location.INSIDE, set, new Vector2D[] {
            new Vector2D(30.0, 15.0),
            new Vector2D(15.0, 20.0),
            new Vector2D(24.0, 25.0),
            new Vector2D(35.0, 30.0),
            new Vector2D(19.0, 17.0)
        });
        checkPoints(Region.Location.OUTSIDE, set, new Vector2D[] {
            new Vector2D(50.0, 30.0),
            new Vector2D(30.0, 35.0),
            new Vector2D(10.0, 25.0),
            new Vector2D(10.0, 10.0),
            new Vector2D(40.0, 10.0),
            new Vector2D(50.0, 15.0),
            new Vector2D(30.0, 22.0)
        });
        checkPoints(Region.Location.BOUNDARY, set, new Vector2D[] {
            new Vector2D(30.0, 32.0),
            new Vector2D(34.0, 20.0)
        });
        checkVertices(set.getVertices(), vertices);
    }

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Examples of org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet

                new Vector2D(-1.8 - 1.0 / FastMath.sqrt(2.0),
                            2.0 - 1.0 / FastMath.sqrt(2.0))
            }
        };


        PolygonsSet set = buildSet(vertices);
        checkVertices(set.getVertices(), vertices);


        Assert.assertEquals(1.1 + 0.95 * FastMath.sqrt(2.0), set.getSize(), 1.0e-10);


    }

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Examples of org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet

                new Vector2D(2.0, 2.0),
                new Vector2D(2.0, 1.0),
                new Vector2D(1.0, 1.0)
            }
        };
        PolygonsSet set = buildSet(vertices);
        checkPoints(Region.Location.INSIDE, set, new Vector2D[] {
            new Vector2D(0.5, 0.5),
            new Vector2D(1.5, 0.5),
            new Vector2D(2.5, 0.5),
            new Vector2D(0.5, 1.5),
            new Vector2D(2.5, 1.5),
            new Vector2D(0.5, 2.5),
            new Vector2D(1.5, 2.5),
            new Vector2D(2.5, 2.5),
            new Vector2D(0.5, 1.0)
        });
        checkPoints(Region.Location.OUTSIDE, set, new Vector2D[] {
            new Vector2D(1.5, 1.5),
            new Vector2D(3.5, 1.0),
            new Vector2D(4.0, 1.5),
            new Vector2D(6.0, 6.0)
        });
        checkPoints(Region.Location.BOUNDARY, set, new Vector2D[] {
            new Vector2D(1.0, 1.0),
            new Vector2D(1.5, 0.0),
            new Vector2D(1.5, 1.0),
            new Vector2D(1.5, 2.0),
            new Vector2D(1.5, 3.0),
            new Vector2D(3.0, 3.0)
        });
        checkVertices(set.getVertices(), vertices);
    }

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Examples of org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet

                new Vector2D(4.0, 0.0),
                new Vector2D(5.0, 1.0),
                new Vector2D(3.0, 1.0)
            }
        };
        PolygonsSet set = buildSet(vertices);
        Assert.assertEquals(Region.Location.INSIDE, set.checkPoint(new Vector2D(1.0, 1.5)));
        checkPoints(Region.Location.INSIDE, set, new Vector2D[] {
            new Vector2D(1.0, 1.5),
            new Vector2D(4.5, 0.8)
        });
        checkPoints(Region.Location.OUTSIDE, set, new Vector2D[] {
            new Vector2D(1.0, 0.0),
            new Vector2D(3.5, 1.2),
            new Vector2D(2.5, 1.0),
            new Vector2D(3.0, 4.0)
        });
        checkPoints(Region.Location.BOUNDARY, set, new Vector2D[] {
            new Vector2D(1.0, 1.0),
            new Vector2D(3.5, 0.5),
            new Vector2D(0.0, 1.0)
        });
        checkVertices(set.getVertices(), vertices);
    }

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Examples of org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet

                new Vector2D(2.0, 2.0),
                new Vector2D(1.0, 1.0),
                new Vector2D(0.0, 1.0)
            }
        };
        PolygonsSet set = buildSet(vertices);
        checkVertices(set.getVertices(), vertices);
    }

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Examples of org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet

                new Vector2D(-1.0,  0.0),
                new Vector2D(-1.0, -1.0),
                new Vector2D( 0.0, -1.0)
            }
        };
        PolygonsSet set = buildSet(vertices);
        checkVertices(set.getVertices(), vertices);
    }

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Examples of org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet

                new Vector2D( 1.0,  3.0),
                new Vector2D( 1.0,  2.0),
                new Vector2D( 0.0,  2.0)
            }
        };
        PolygonsSet set = buildSet(vertices);


        Line l1 = new Line(new Vector2D(-1.5, 0.0), FastMath.PI / 4);
        SubLine s1 = (SubLine) set.intersection(l1.wholeHyperplane());
        List<Interval> i1 = ((IntervalsSet) s1.getRemainingRegion()).asList();
        Assert.assertEquals(2, i1.size());
        Interval v10 = i1.get(0);
        Vector2D p10Lower = l1.toSpace(new Vector1D(v10.getLower()));
        Assert.assertEquals(0.0, p10Lower.getX(), 1.0e-10);
        Assert.assertEquals(1.5, p10Lower.getY(), 1.0e-10);
        Vector2D p10Upper = l1.toSpace(new Vector1D(v10.getUpper()));
        Assert.assertEquals(0.5, p10Upper.getX(), 1.0e-10);
        Assert.assertEquals(2.0, p10Upper.getY(), 1.0e-10);
        Interval v11 = i1.get(1);
        Vector2D p11Lower = l1.toSpace(new Vector1D(v11.getLower()));
        Assert.assertEquals(1.0, p11Lower.getX(), 1.0e-10);
        Assert.assertEquals(2.5, p11Lower.getY(), 1.0e-10);
        Vector2D p11Upper = l1.toSpace(new Vector1D(v11.getUpper()));
        Assert.assertEquals(1.5, p11Upper.getX(), 1.0e-10);
        Assert.assertEquals(3.0, p11Upper.getY(), 1.0e-10);


        Line l2 = new Line(new Vector2D(-1.0, 2.0), 0);
        SubLine s2 = (SubLine) set.intersection(l2.wholeHyperplane());
        List<Interval> i2 = ((IntervalsSet) s2.getRemainingRegion()).asList();
        Assert.assertEquals(1, i2.size());
        Interval v20 = i2.get(0);
        Vector2D p20Lower = l2.toSpace(new Vector1D(v20.getLower()));
        Assert.assertEquals(1.0, p20Lower.getX(), 1.0e-10);

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Examples of org.apache.commons.math3.geometry.euclidean.twod.PolygonsSet

                new Vector2D(4.0, 0.0),
                new Vector2D(1.4, 1.5),
                new Vector2D(0.0, 3.5)
            }
        };
        PolygonsSet set1 = buildSet(vertices1);
        Vector2D[][] vertices2 = new Vector2D[][] {
            new Vector2D[] {
                new Vector2D(1.4,  0.2),
                new Vector2D(2.8, -1.2),
                new Vector2D(2.5,  0.6)
            }
        };
        PolygonsSet set2 = buildSet(vertices2);


        PolygonsSet set =
            (PolygonsSet) new RegionFactory<Euclidean2D>().union(set1.copySelf(),
                                                                 set2.copySelf());
        checkVertices(set1.getVertices(), vertices1);
        checkVertices(set2.getVertices(), vertices2);
        checkVertices(set.getVertices(), new Vector2D[][] {
            new Vector2D[] {
                new Vector2D(0.0,  0.0),
                new Vector2D(1.6,  0.0),
                new Vector2D(2.8, -1.2),
                new Vector2D(2.6,  0.0),

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