Example #1
0
        /// <summary>
        // From Real-time Collision Detection, p179.
        /// </summary>
        public void RayCast(out RayCastOutput output, RayCastInput input)
        {
            float tmin = -Common.Settings.FLT_MAX;
            float tmax = Common.Settings.FLT_MAX;

            output = new RayCastOutput();

            output.Hit = false;

            Vector2 p    = input.P1;
            Vector2 d    = input.P2 - input.P1;
            Vector2 absD = d.Abs();

            Vector2 normal = Vector2.Zero;

            for (int i = 0; i < 2; ++i)
            {
                if (absD.GetByIndex(i) < Common.Settings.FLT_EPSILON)
                {
                    // Parallel.
                    if (p.GetByIndex(i) < LowerBound.GetByIndex(i) || UpperBound.GetByIndex(i) < p.GetByIndex(i))
                    {
                        return;
                    }
                }
                else
                {
                    float inv_d = 1.0f / d.GetByIndex(i);
                    float t1    = (LowerBound.GetByIndex(i) - p.GetByIndex(i)) * inv_d;
                    float t2    = (UpperBound.GetByIndex(i) - p.GetByIndex(i)) * inv_d;

                    // Sign of the normal vector.
                    float s = -1.0f;

                    if (t1 > t2)
                    {
                        Common.Math.Swap(ref t1, ref t2);
                        s = 1.0f;
                    }

                    // Push the min up
                    if (t1 > tmin)
                    {
                        normal = Vector2.Zero;
                        normal.SetByIndex(i, s);
                        tmin = t1;
                    }

                    // Pull the max down
                    tmax = Common.Math.Min(tmax, t2);

                    if (tmin > tmax)
                    {
                        return;
                    }
                }
            }

            // Does the ray start inside the box?
            // Does the ray intersect beyond the max fraction?
            if (tmin < 0.0f || input.MaxFraction < tmin)
            {
                return;
            }

            // Intersection.
            output.Fraction = tmin;
            output.Normal   = normal;
            output.Hit      = true;
        }
Example #2
0
        /// <summary>
        // From Real-time Collision Detection, p179.
        /// </summary>
        public void RayCast(out RayCastOutput output, RayCastInput input)
        {
            float tmin = -Common.Settings.FLT_MAX;
            float tmax = Common.Settings.FLT_MAX;

            output = new RayCastOutput {
                Hit = false
            };


            Vec2 p    = input.P1;
            Vec2 d    = input.P2 - input.P1;
            Vec2 absD = Common.MathB2.Abs(d);

            Vec2 normal = new Vec2(0);

            for (int i = 0; i < 2; ++i)
            {
                if (absD[i] < Common.Settings.FLT_EPSILON)
                {
                    // Parallel.
                    if (p[i] < LowerBound[i] || UpperBound[i] < p[i])
                    {
                        return;
                    }
                }
                else
                {
                    float inv_d = 1.0f / d[i];
                    float t1    = (LowerBound[i] - p[i]) * inv_d;
                    float t2    = (UpperBound[i] - p[i]) * inv_d;

                    // Sign of the normal vector.
                    float s = -1.0f;

                    if (t1 > t2)
                    {
                        Common.MathB2.Swap(ref t1, ref t2);
                        s = 1.0f;
                    }

                    // Push the min up
                    if (t1 > tmin)
                    {
                        normal.SetZero();
                        normal[i] = s;
                        tmin      = t1;
                    }

                    // Pull the max down
                    tmax = Common.MathB2.Min(tmax, t2);

                    if (tmin > tmax)
                    {
                        return;
                    }
                }
            }

            // Does the ray start inside the box?
            // Does the ray intersect beyond the max fraction?
            if (tmin < 0.0f || input.MaxFraction < tmin)
            {
                return;
            }

            // Intersection.
            output.Fraction = tmin;
            output.Normal   = normal;
            output.Hit      = true;
        }
Example #3
0
        internal bool RayCast(RayCastOutput output, RayCastInput input, XForm xf, int v)
        {
            Vec2 p1 = MathB2.MulT(xf.R, input.P1 - xf.Position);
            Vec2 p2 = MathB2.MulT(xf.R, input.P2 - xf.Position);
            Vec2 d  = p2 - p1;

            Vec2 v1     = _v1;
            Vec2 v2     = _v2;
            Vec2 e      = v2 - v1;
            Vec2 normal = new Vec2(e.Y, -e.X);

            normal.Normalize();

            // q = p1 + t * d
            // dot(normal, q - v1) = 0
            // dot(normal, p1 - v1) + t * dot(normal, d) = 0
            float numerator   = MathB2.Dot(normal, v1 - p1);
            float denominator = MathB2.Dot(normal, d);

            if (denominator == 0.0f)
            {
                return(false);
            }

            float t = numerator / denominator;

            if (t < 0.0f || input.MaxFraction < t)
            {
                return(false);
            }

            Vec2 q = p1 + t * d;

            // q = v1 + s * r
            // s = dot(q - v1, r) / dot(r, r)
            Vec2  r  = v2 - v1;
            float rr = MathB2.Dot(r, r);

            if (rr == 0.0f)
            {
                return(false);
            }

            float s = MathB2.Dot(q - v1, r) / rr;

            if (s < 0.0f || 1.0f < s)
            {
                return(false);
            }

            output.Fraction = t;
            if (numerator > 0.0f)
            {
                output.Normal = -MathB2.Mul(xf.R, normal);
            }
            else
            {
                output.Normal = MathB2.Mul(xf.R, normal);
            }
            return(true);
        }