Example #1
0
        public static bool Intersects(Ray2BR a, Segment2BR b)
        {
            if (a.direction.IsZero)
            {
                return(b.Contains(a.origin));
            }
            Vector2BR v = new Vector2BR(-a.Direction.Y, a.Direction.X);

            if (Vector2BR.DotProduct(b.Start - a.Origin, v).IsPositive == Vector2BR.DotProduct(b.End - a.Origin, v).IsPositive)
            {
                return(false);
            }
            if (b.Start == b.End)
            {
                return(a.Contains(b.Start));
            }
            Vector2BR   delta        = b.GetDelta();
            BigRational bigRational1 = a.Direction.X * delta.Y - a.Direction.Y * delta.X;

            if (bigRational1.IsZero)
            {
                return(false);
            }
            Vector2BR   u            = b.Start - a.Origin;
            BigRational bigRational2 = Vector2BR.CrossProduct(u, delta);

            if (bigRational1.IsPositive)
            {
                if (bigRational2.IsNegative)
                {
                    return(false);
                }
            }
            else if (bigRational2.IsPositive)
            {
                return(false);
            }
            BigRational bigRational3 = Vector2BR.CrossProduct(u, a.Direction);

            if (bigRational1.IsPositive)
            {
                if (bigRational3.IsNegative || bigRational3 > bigRational1)
                {
                    return(false);
                }
            }
            else if (bigRational3.IsPositive || bigRational3 < bigRational1)
            {
                return(false);
            }
            BigRational bigRational4 = bigRational3 / bigRational1;
            BigRational bigRational5 = bigRational2 / bigRational1;

            return(true);
        }
Example #2
0
        public static bool Intersects(Segment2BR segment1, Segment2BR segment2)
        {
            if (segment1.point2BR_0 == segment1.point2BR_1)
            {
                return(segment2.Contains(segment1.point2BR_0));
            }
            Vector2BR   v1           = segment1.point2BR_1 - segment1.point2BR_0;
            Vector2BR   u1           = segment2.Start - segment1.point2BR_0;
            Vector2BR   u2           = segment2.End - segment1.point2BR_0;
            Vector2BR   v2           = new Vector2BR(-v1.Y, v1.X);
            BigRational bigRational1 = Vector2BR.DotProduct(u1, v2);
            BigRational bigRational2 = Vector2BR.DotProduct(u2, v2);

            if (bigRational1.IsPositive && bigRational2.IsPositive || bigRational1.IsNegative && bigRational2.IsNegative)
            {
                return(false);
            }
            BigRational a            = Vector2BR.DotProduct(u1, v1);
            BigRational b            = Vector2BR.DotProduct(u2, v1);
            BigRational bigRational3 = b - a;

            if (bigRational3.IsZero)
            {
                BigRational bigRational4 = a;
                if (bigRational4.IsNegative)
                {
                    return(false);
                }
                return(bigRational4.Square() <= v1.GetLengthSquared());
            }
            BigRational bigRational5 = bigRational2 - bigRational1;

            if (bigRational5.IsZero)
            {
                if (BigMath.Max(a, b).IsNegative)
                {
                    return(false);
                }
                return(BigMath.Min(a, b).Square() <= v1.GetLengthSquared());
            }
            BigRational bigRational6 = bigRational3 / bigRational5;
            BigRational bigRational7 = a - bigRational1 * bigRational6;

            if (bigRational7.IsNegative)
            {
                return(false);
            }
            return(bigRational7.Square() < v1.GetLengthSquared());
        }
Example #3
0
        public static bool GetIntersectionCoefficients(
            Ray2BR a,
            Segment2BR b,
            out BigRational?p,
            out BigRational?q,
            out bool areParallel)
        {
            if (a.direction.IsZero)
            {
                areParallel = false;
                p           = new BigRational?();
                bool flag;
                if (flag = b.Contains(a.origin))
                {
                    Vector2BR delta = b.GetDelta();
                    q = new BigRational?(Vector2BR.DotProduct(a.origin - b.Start, delta) / delta.GetLengthSquared());
                }
                else
                {
                    q = new BigRational?();
                }
                return(flag);
            }
            Vector2BR   v            = new Vector2BR(-a.direction.Y, a.direction.X);
            Vector2BR   u            = b.Start - a.Origin;
            BigRational bigRational1 = Vector2BR.DotProduct(u, v);
            BigRational bigRational2 = Vector2BR.DotProduct(b.End - a.Origin, v);

            if (bigRational1.IsPositive && bigRational2.IsPositive || bigRational1.IsNegative && bigRational2.IsNegative)
            {
                p           = new BigRational?();
                q           = new BigRational?();
                areParallel = false;
                return(false);
            }
            Vector2BR delta1 = b.GetDelta();

            if (delta1.IsZero)
            {
                areParallel = false;
                p           = new BigRational?(Vector2BR.DotProduct(u, a.direction) / a.direction.GetLengthSquared());
                q           = new BigRational?(BigRational.Zero);
                return(true);
            }
            BigRational bigRational3 = a.Direction.X * delta1.Y - a.Direction.Y * delta1.X;

            if (bigRational3.IsZero)
            {
                p           = new BigRational?();
                q           = new BigRational?();
                areParallel = true;
                return(true);
            }
            areParallel = false;
            BigRational bigRational4 = Vector2BR.CrossProduct(u, delta1);

            if (bigRational3.IsPositive)
            {
                if (bigRational4.IsNegative)
                {
                    p = new BigRational?();
                    q = new BigRational?();
                    return(false);
                }
            }
            else if (bigRational4.IsPositive)
            {
                p = new BigRational?();
                q = new BigRational?();
                return(false);
            }
            BigRational bigRational5 = Vector2BR.CrossProduct(u, a.Direction);

            if (bigRational3.IsPositive)
            {
                if (bigRational5.IsNegative || bigRational5 > bigRational3)
                {
                    p = new BigRational?();
                    q = new BigRational?();
                    return(false);
                }
            }
            else if (bigRational5.IsPositive || bigRational5 < bigRational3)
            {
                p = new BigRational?();
                q = new BigRational?();
                return(false);
            }
            p = new BigRational?(bigRational4 / bigRational3);
            q = new BigRational?(bigRational5 / bigRational3);
            return(true);
        }
Example #4
0
        public static bool GetIntersectionParameters(
            Segment2BR a,
            Segment2BR b,
            out BigRational[] pArray,
            out BigRational[] qArray)
        {
            Vector2BR   delta1       = a.GetDelta();
            Vector2BR   delta2       = b.GetDelta();
            BigRational bigRational1 = delta1.X * delta2.Y - delta1.Y * delta2.X;

            if (bigRational1.IsZero)
            {
                Segment2BR.Struct6 struct6_1 = new Segment2BR.Struct6(a.point2BR_0, a.point2BR_1, delta1);
                Segment2BR.Struct6 struct6_2 = new Segment2BR.Struct6(b.point2BR_0, b.point2BR_1, delta2);
                if ((struct6_1.bigRational_0 > struct6_2.bigRational_0 ? (!struct6_1.method_0(b.point2BR_0) ? 0 : (struct6_1.method_0(b.End) ? 1 : 0)) : (struct6_2.bigRational_0.IsZero || !struct6_2.method_0(a.point2BR_0) ? 0 : (struct6_2.method_0(a.point2BR_1) ? 1 : 0))) != 0)
                {
                    if (struct6_1.method_1(b.point2BR_0))
                    {
                        if (struct6_1.method_1(b.point2BR_1))
                        {
                            pArray = new BigRational[2]
                            {
                                a.GetNormalizedProjection(b.point2BR_0),
                                a.GetNormalizedProjection(b.point2BR_1)
                            };
                            qArray = new BigRational[2]
                            {
                                BigRational.Zero,
                                BigRational.One
                            };
                            return(true);
                        }
                        if (struct6_2.method_1(a.point2BR_0))
                        {
                            pArray = new BigRational[2]
                            {
                                BigRational.Zero,
                                a.GetNormalizedProjection(b.point2BR_0)
                            };
                            qArray = new BigRational[2]
                            {
                                b.GetNormalizedProjection(a.point2BR_0),
                                BigRational.Zero
                            };
                            return(true);
                        }
                        if (struct6_2.method_1(a.End))
                        {
                            pArray = new BigRational[2]
                            {
                                a.GetNormalizedProjection(b.point2BR_0),
                                BigRational.One
                            };
                            qArray = new BigRational[2]
                            {
                                BigRational.Zero,
                                b.GetNormalizedProjection(a.point2BR_1)
                            };
                            return(true);
                        }
                    }
                    else if (struct6_1.method_1(b.point2BR_1))
                    {
                        if (struct6_2.method_1(a.point2BR_0))
                        {
                            if (struct6_2.method_1(a.End))
                            {
                                pArray = new BigRational[2]
                                {
                                    BigRational.Zero,
                                    BigRational.One
                                };
                                qArray = new BigRational[2]
                                {
                                    b.GetNormalizedProjection(a.point2BR_0),
                                    b.GetNormalizedProjection(a.point2BR_1)
                                };
                            }
                            else
                            {
                                pArray = new BigRational[2]
                                {
                                    BigRational.Zero,
                                    a.GetNormalizedProjection(b.point2BR_1)
                                };
                                qArray = new BigRational[2]
                                {
                                    b.GetNormalizedProjection(a.point2BR_0),
                                    BigRational.One
                                };
                            }
                            return(true);
                        }
                        if (struct6_2.method_1(a.End))
                        {
                            pArray = new BigRational[2]
                            {
                                BigRational.One,
                                a.GetNormalizedProjection(b.point2BR_1)
                            };
                            qArray = new BigRational[2]
                            {
                                b.GetNormalizedProjection(a.point2BR_1),
                                BigRational.One
                            };
                            return(true);
                        }
                    }
                    else if (struct6_2.method_1(a.point2BR_0))
                    {
                        pArray = new BigRational[2]
                        {
                            BigRational.Zero,
                            BigRational.One
                        };
                        qArray = new BigRational[2]
                        {
                            b.GetNormalizedProjection(a.point2BR_0),
                            b.GetNormalizedProjection(a.point2BR_1)
                        };
                        return(true);
                    }
                }
                pArray = (BigRational[])null;
                qArray = (BigRational[])null;
                return(false);
            }
            BigRational bigRational2 = (b.Start.X - a.Start.X) * delta2.Y - (b.Start.Y - a.Start.Y) * delta2.X;

            if (bigRational1.IsPositive)
            {
                if (bigRational2.IsNegative || bigRational2 > bigRational1)
                {
                    pArray = (BigRational[])null;
                    qArray = (BigRational[])null;
                    return(false);
                }
            }
            else if (bigRational2.IsPositive || bigRational2 < bigRational1)
            {
                pArray = (BigRational[])null;
                qArray = (BigRational[])null;
                return(false);
            }
            BigRational bigRational3 = (b.Start.X - a.Start.X) * delta1.Y - (b.Start.Y - a.Start.Y) * delta1.X;

            if (bigRational1.IsPositive)
            {
                if (bigRational3.IsNegative || bigRational3 > bigRational1)
                {
                    pArray = (BigRational[])null;
                    qArray = (BigRational[])null;
                    return(false);
                }
            }
            else if (bigRational3.IsPositive || bigRational3 < bigRational1)
            {
                pArray = (BigRational[])null;
                qArray = (BigRational[])null;
                return(false);
            }
            BigRational bigRational4 = bigRational2 / bigRational1;
            BigRational bigRational5 = bigRational3 / bigRational1;

            pArray = new BigRational[1] {
                bigRational4
            };
            qArray = new BigRational[1] {
                bigRational5
            };
            return(true);
        }