GetAngleBetweenLines() public static méthode

Calculate minimum angle between two lines measured in [0, 90] degrees range.

It is preferred to use Line.GetAngleBetweenLines if it is required to calculate angle multiple times for one of the lines.

and are the same, /// -OR- and are the same.
public static GetAngleBetweenLines ( IntPoint a1, IntPoint a2, IntPoint b1, IntPoint b2 ) : double
a1 IntPoint A point on the first line.
a2 IntPoint Another point on the first line.
b1 IntPoint A point on the second line.
b2 IntPoint Another point on the second line.
Résultat double
Exemple #1
0
        public PolygonSubType CheckPolygonSubType(List <IntPoint> corners)
        {
            PolygonSubType polygonSubType = PolygonSubType.Unknown;

            PointsCloud.GetBoundingRectangle(corners, out IntPoint minXY, out IntPoint maxXY);
            IntPoint intPoint = maxXY - minXY;
            float    num      = lengthError * (float)(intPoint.X + intPoint.Y) / 2f;

            if (corners.Count == 3)
            {
                float angleBetweenVectors  = GeometryTools.GetAngleBetweenVectors(corners[0], corners[1], corners[2]);
                float angleBetweenVectors2 = GeometryTools.GetAngleBetweenVectors(corners[1], corners[2], corners[0]);
                float angleBetweenVectors3 = GeometryTools.GetAngleBetweenVectors(corners[2], corners[0], corners[1]);
                if (System.Math.Abs(angleBetweenVectors - 60f) <= angleError && System.Math.Abs(angleBetweenVectors2 - 60f) <= angleError && System.Math.Abs(angleBetweenVectors3 - 60f) <= angleError)
                {
                    polygonSubType = PolygonSubType.EquilateralTriangle;
                }
                else
                {
                    if (System.Math.Abs(angleBetweenVectors - angleBetweenVectors2) <= angleError || System.Math.Abs(angleBetweenVectors2 - angleBetweenVectors3) <= angleError || System.Math.Abs(angleBetweenVectors3 - angleBetweenVectors) <= angleError)
                    {
                        polygonSubType = PolygonSubType.IsoscelesTriangle;
                    }
                    if (System.Math.Abs(angleBetweenVectors - 90f) <= angleError || System.Math.Abs(angleBetweenVectors2 - 90f) <= angleError || System.Math.Abs(angleBetweenVectors3 - 90f) <= angleError)
                    {
                        polygonSubType = ((polygonSubType == PolygonSubType.IsoscelesTriangle) ? PolygonSubType.RectangledIsoscelesTriangle : PolygonSubType.RectangledTriangle);
                    }
                }
            }
            else if (corners.Count == 4)
            {
                float angleBetweenLines  = GeometryTools.GetAngleBetweenLines(corners[0], corners[1], corners[2], corners[3]);
                float angleBetweenLines2 = GeometryTools.GetAngleBetweenLines(corners[1], corners[2], corners[3], corners[0]);
                if (angleBetweenLines <= angleError)
                {
                    polygonSubType = PolygonSubType.Trapezoid;
                    if (angleBetweenLines2 <= angleError)
                    {
                        polygonSubType = PolygonSubType.Parallelogram;
                        if (System.Math.Abs(GeometryTools.GetAngleBetweenVectors(corners[1], corners[0], corners[2]) - 90f) <= angleError)
                        {
                            polygonSubType = PolygonSubType.Rectangle;
                        }
                        float num2 = corners[0].DistanceTo(corners[1]);
                        float num3 = corners[0].DistanceTo(corners[3]);
                        if (System.Math.Abs(num2 - num3) <= num)
                        {
                            polygonSubType = ((polygonSubType == PolygonSubType.Parallelogram) ? PolygonSubType.Rhombus : PolygonSubType.Square);
                        }
                    }
                }
                else if (angleBetweenLines2 <= angleError)
                {
                    polygonSubType = PolygonSubType.Trapezoid;
                }
            }
            return(polygonSubType);
        }
Exemple #2
0
        /// <summary>
        /// Check sub type of a convex polygon.
        /// </summary>
        ///
        /// <param name="corners">Corners of the convex polygon to check.</param>
        ///
        /// <returns>Return detected sub type of the specified shape.</returns>
        ///
        /// <remarks><para>The method check corners of a convex polygon detecting
        /// its subtype. Polygon's corners are usually retrieved using <see cref="IsConvexPolygon"/>
        /// method, but can be any list of 3-4 points (only sub types of triangles and
        /// quadrilateral are checked).</para>
        ///
        /// <para>See <see cref="AngleError"/> and <see cref="LengthError"/> properties,
        /// which set acceptable errors for polygon sub type checking.</para>
        /// </remarks>
        ///
        public PolygonSubType CheckPolygonSubType(List <IntPoint> corners)
        {
            PolygonSubType subType = PolygonSubType.Unknown;

            // get bounding rectangle of the points list
            IntPoint minXY, maxXY;

            PointsCloud.GetBoundingRectangle(corners, out minXY, out maxXY);
            // get cloud's size
            IntPoint cloudSize = maxXY - minXY;

            float maxLengthDiff = lengthError * (cloudSize.X + cloudSize.Y) / 2;

            if (corners.Count == 3)
            {
                // get angles of the triangle
                float angle1 = GeometryTools.GetAngleBetweenVectors(IntPoint.ToPoint(corners[0]), IntPoint.ToPoint(corners[1]), IntPoint.ToPoint(corners[2]));
                float angle2 = GeometryTools.GetAngleBetweenVectors(IntPoint.ToPoint(corners[1]), IntPoint.ToPoint(corners[2]), IntPoint.ToPoint(corners[0]));
                float angle3 = GeometryTools.GetAngleBetweenVectors(IntPoint.ToPoint(corners[2]), IntPoint.ToPoint(corners[0]), IntPoint.ToPoint(corners[1]));

                // check for equilateral triangle
                if ((Math.Abs(angle1 - 60) <= angleError) &&
                    (Math.Abs(angle2 - 60) <= angleError) &&
                    (Math.Abs(angle3 - 60) <= angleError))
                {
                    subType = PolygonSubType.EquilateralTriangle;
                }
                else
                {
                    // check for isosceles triangle
                    if ((Math.Abs(angle1 - angle2) <= angleError) ||
                        (Math.Abs(angle2 - angle3) <= angleError) ||
                        (Math.Abs(angle3 - angle1) <= angleError))
                    {
                        subType = PolygonSubType.IsoscelesTriangle;
                    }

                    // check for rectangled triangle
                    if ((Math.Abs(angle1 - 90) <= angleError) ||
                        (Math.Abs(angle2 - 90) <= angleError) ||
                        (Math.Abs(angle3 - 90) <= angleError))
                    {
                        subType = (subType == PolygonSubType.IsoscelesTriangle) ?
                                  PolygonSubType.RectangledIsoscelesTriangle : PolygonSubType.RectangledTriangle;
                    }
                }
            }
            else if (corners.Count == 4)
            {
                // get angles between 2 pairs of opposite sides
                float angleBetween1stPair = GeometryTools.GetAngleBetweenLines(IntPoint.ToPoint(corners[0]), IntPoint.ToPoint(corners[1]), IntPoint.ToPoint(corners[2]), IntPoint.ToPoint(corners[3]));
                float angleBetween2ndPair = GeometryTools.GetAngleBetweenLines(IntPoint.ToPoint(corners[1]), IntPoint.ToPoint(corners[2]), IntPoint.ToPoint(corners[3]), IntPoint.ToPoint(corners[0]));

                // check 1st pair for parallelism
                if (angleBetween1stPair <= angleError)
                {
                    subType = PolygonSubType.Trapezoid;

                    // check 2nd pair for parallelism
                    if (angleBetween2ndPair <= angleError)
                    {
                        subType = PolygonSubType.Parallelogram;

                        // check angle between adjacent sides
                        if (Math.Abs(GeometryTools.GetAngleBetweenVectors(IntPoint.ToPoint(corners[1]), IntPoint.ToPoint(corners[0]), IntPoint.ToPoint(corners[2])) - 90) <= angleError)
                        {
                            subType = PolygonSubType.Rectangle;
                        }

                        // get length of 2 adjacent sides
                        float side1Length = (float)corners[0].DistanceTo(corners[1]);
                        float side2Length = (float)corners[0].DistanceTo(corners[3]);

                        if (Math.Abs(side1Length - side2Length) <= maxLengthDiff)
                        {
                            subType = (subType == PolygonSubType.Parallelogram) ?
                                      PolygonSubType.Rhombus : PolygonSubType.Square;
                        }
                    }
                }
                else
                {
                    // check 2nd pair for parallelism - last chence to detect trapezoid
                    if (angleBetween2ndPair <= angleError)
                    {
                        subType = PolygonSubType.Trapezoid;
                    }
                }
            }

            return(subType);
        }