BulletSim initial checkin

1 files changed, 444 insertions, 0 deletions

diff --git a/OpenSim/Region/Physics/ConvexDecompositionDotNet/float3.cs b/OpenSim/Region/Physics/ConvexDecompositionDotNet/float3.cs
new file mode 100644
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+++ b/OpenSim/Region/Physics/ConvexDecompositionDotNet/float3.cs
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+/* The MIT License
+ * 
+ * Copyright (c) 2010 Intel Corporation.
+ * All rights reserved.
+ *
+ * Based on the convexdecomposition library from 
+ * <http://codesuppository.googlecode.com> by John W. Ratcliff and Stan Melax.
+ * 
+ * Permission is hereby granted, free of charge, to any person obtaining a copy
+ * of this software and associated documentation files (the "Software"), to deal
+ * in the Software without restriction, including without limitation the rights
+ * to use, copy, modify, merge, publish, distribute, sublicense, and/or sell
+ * copies of the Software, and to permit persons to whom the Software is
+ * furnished to do so, subject to the following conditions:
+ * 
+ * The above copyright notice and this permission notice shall be included in
+ * all copies or substantial portions of the Software.
+ * 
+ * THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND, EXPRESS OR
+ * IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF MERCHANTABILITY,
+ * FITNESS FOR A PARTICULAR PURPOSE AND NONINFRINGEMENT. IN NO EVENT SHALL THE
+ * AUTHORS OR COPYRIGHT HOLDERS BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER
+ * LIABILITY, WHETHER IN AN ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM,
+ * OUT OF OR IN CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN
+ * THE SOFTWARE.
+ */
+
+using System;
+
+namespace OpenSim.Region.Physics.ConvexDecompositionDotNet
+{
+    public class float3 : IEquatable<float3>
+    {
+        public float x;
+        public float y;
+        public float z;
+
+        public float3()
+        {
+            x = 0;
+            y = 0;
+            z = 0;
+        }
+
+        public float3(float _x, float _y, float _z)
+        {
+            x = _x;
+            y = _y;
+            z = _z;
+        }
+
+        public float3(float3 f)
+        {
+            x = f.x;
+            y = f.y;
+            z = f.z;
+        }
+
+        public float this[int i]
+        {
+            get
+            {
+                switch (i)
+                {
+                    case 0: return x;
+                    case 1: return y;
+                    case 2: return z;
+                }
+                throw new ArgumentOutOfRangeException();
+            }
+        }
+
+        public float Distance(float3 a)
+        {
+            float3 d = new float3(a.x - x, a.y - y, a.z - z);
+            return d.Length();
+        }
+
+        public float Distance2(float3 a)
+        {
+            float dx = a.x - x;
+            float dy = a.y - y;
+            float dz = a.z - z;
+            return dx * dx + dy * dy + dz * dz;
+        }
+
+        public float Length()
+        {
+            return (float)Math.Sqrt(x * x + y * y + z * z);
+        }
+
+        public float Area(float3 p1, float3 p2)
+        {
+            float A = Partial(p1);
+            A += p1.Partial(p2);
+            A += p2.Partial(this);
+            return A * 0.5f;
+        }
+
+        public float Partial(float3 p)
+        {
+            return (x * p.y) - (p.x * y);
+        }
+
+        // Given a point and a line (defined by two points), compute the closest point
+        // in the line.  (The line is treated as infinitely long.)
+        public void NearestPointInLine(float3 point, float3 line0, float3 line1)
+        {
+            float3 nearestPoint = new float3();
+            float3 lineDelta = line1 - line0;
+
+            // Handle degenerate lines
+            if (lineDelta == float3.Zero)
+            {
+                nearestPoint = line0;
+            }
+            else
+            {
+                float delta = float3.dot(point - line0, lineDelta) / float3.dot(lineDelta, lineDelta);
+                nearestPoint = line0 + lineDelta * delta;
+            }
+
+            this.x = nearestPoint.x;
+            this.y = nearestPoint.y;
+            this.z = nearestPoint.z;
+        }
+
+        // Given a point and a line segment (defined by two points), compute the closest point
+        // in the line.  Cap the point at the endpoints of the line segment.
+        public void NearestPointInLineSegment(float3 point, float3 line0, float3 line1)
+        {
+            float3 nearestPoint = new float3();
+            float3 lineDelta = line1 - line0;
+
+            // Handle degenerate lines
+            if (lineDelta == Zero)
+            {
+                nearestPoint = line0;
+            }
+            else
+            {
+                float delta = float3.dot(point - line0, lineDelta) / float3.dot(lineDelta, lineDelta);
+
+                // Clamp the point to conform to the segment's endpoints
+                if (delta < 0)
+                    delta = 0;
+                else if (delta > 1)
+                    delta = 1;
+
+                nearestPoint = line0 + lineDelta * delta;
+            }
+
+            this.x = nearestPoint.x;
+            this.y = nearestPoint.y;
+            this.z = nearestPoint.z;
+        }
+
+        // Given a point and a triangle (defined by three points), compute the closest point
+        // in the triangle.  Clamp the point so it's confined to the area of the triangle.
+        public void NearestPointInTriangle(float3 point, float3 triangle0, float3 triangle1, float3 triangle2)
+        {
+            float3 nearestPoint = new float3();
+
+            float3 lineDelta0 = triangle1 - triangle0;
+            float3 lineDelta1 = triangle2 - triangle0;
+
+            // Handle degenerate triangles
+            if ((lineDelta0 == Zero) || (lineDelta1 == Zero))
+            {
+                nearestPoint.NearestPointInLineSegment(point, triangle1, triangle2);
+            }
+            else if (lineDelta0 == lineDelta1)
+            {
+                nearestPoint.NearestPointInLineSegment(point, triangle0, triangle1);
+            }
+            else
+            {
+                float3[] axis = new float3[3] { new float3(), new float3(), new float3() };
+                axis[0].NearestPointInLine(triangle0, triangle1, triangle2);
+                axis[1].NearestPointInLine(triangle1, triangle0, triangle2);
+                axis[2].NearestPointInLine(triangle2, triangle0, triangle1);
+
+                float3 axisDot = new float3();
+                axisDot.x = dot(triangle0 - axis[0], point - axis[0]);
+                axisDot.y = dot(triangle1 - axis[1], point - axis[1]);
+                axisDot.z = dot(triangle2 - axis[2], point - axis[2]);
+
+                bool bForce = true;
+                float bestMagnitude2 = 0;
+                float closeMagnitude2;
+                float3 closePoint = new float3();
+
+                if (axisDot.x < 0f)
+                {
+                    closePoint.NearestPointInLineSegment(point, triangle1, triangle2);
+                    closeMagnitude2 = point.Distance2(closePoint);
+                    if (bForce || (bestMagnitude2 > closeMagnitude2))
+                    {
+                        bForce = false;
+                        bestMagnitude2 = closeMagnitude2;
+                        nearestPoint = closePoint;
+                    }
+                }
+                if (axisDot.y < 0f)
+                {
+                    closePoint.NearestPointInLineSegment(point, triangle0, triangle2);
+                    closeMagnitude2 = point.Distance2(closePoint);
+                    if (bForce || (bestMagnitude2 > closeMagnitude2))
+                    {
+                        bForce = false;
+                        bestMagnitude2 = closeMagnitude2;
+                        nearestPoint = closePoint;
+                    }
+                }
+                if (axisDot.z < 0f)
+                {
+                    closePoint.NearestPointInLineSegment(point, triangle0, triangle1);
+                    closeMagnitude2 = point.Distance2(closePoint);
+                    if (bForce || (bestMagnitude2 > closeMagnitude2))
+                    {
+                        bForce = false;
+                        bestMagnitude2 = closeMagnitude2;
+                        nearestPoint = closePoint;
+                    }
+                }
+
+                // If bForce is true at this point, it means the nearest point lies
+                // inside the triangle; use the nearest-point-on-a-plane equation
+                if (bForce)
+                {
+                    float3 normal;
+
+                    // Get the normal of the polygon (doesn't have to be a unit vector)
+                    normal = float3.cross(lineDelta0, lineDelta1);
+
+                    float3 pointDelta = point - triangle0;
+                    float delta = float3.dot(normal, pointDelta) / float3.dot(normal, normal);
+
+                    nearestPoint = point - normal * delta;
+                }
+            }
+
+            this.x = nearestPoint.x;
+            this.y = nearestPoint.y;
+            this.z = nearestPoint.z;
+        }
+
+        public static float3 operator +(float3 a, float3 b)
+        {
+            return new float3(a.x + b.x, a.y + b.y, a.z + b.z);
+        }
+
+        public static float3 operator -(float3 a, float3 b)
+        {
+            return new float3(a.x - b.x, a.y - b.y, a.z - b.z);
+        }
+
+        public static float3 operator -(float3 a, float s)
+        {
+            return new float3(a.x - s, a.y - s, a.z - s);
+        }
+
+        public static float3 operator -(float3 v)
+        {
+            return new float3(-v.x, -v.y, -v.z);
+        }
+
+        public static float3 operator *(float3 v, float s)
+        {
+            return new float3(v.x * s, v.y * s, v.z * s);
+        }
+
+        public static float3 operator *(float s, float3 v)
+        {
+            return new float3(v.x * s, v.y * s, v.z * s);
+        }
+
+        public static float3 operator *(float3 v, float3x3 m)
+        {
+            return new float3((m.x.x * v.x + m.y.x * v.y + m.z.x * v.z), (m.x.y * v.x + m.y.y * v.y + m.z.y * v.z), (m.x.z * v.x + m.y.z * v.y + m.z.z * v.z));
+        }
+
+        public static float3 operator *(float3x3 m, float3 v)
+        {
+            return new float3(dot(m.x, v), dot(m.y, v), dot(m.z, v));
+        }
+
+        public static float3 operator /(float3 v, float s)
+        {
+            float sinv = 1.0f / s;
+            return new float3(v.x * sinv, v.y * sinv, v.z * sinv);
+        }
+
+        public bool Equals(float3 other)
+        {
+            return this == other;
+        }
+
+        public override bool Equals(object obj)
+        {
+            float3 f = obj as float3;
+            if (f == null)
+                return false;
+
+            return this == f;
+        }
+
+        public override int GetHashCode()
+        {
+            return x.GetHashCode() ^ y.GetHashCode() ^ z.GetHashCode();
+        }
+
+        public static bool operator ==(float3 a, float3 b)
+        {
+            // If both are null, or both are same instance, return true.
+            if (System.Object.ReferenceEquals(a, b))
+                return true;
+            // If one is null, but not both, return false.
+            if (((object)a == null) || ((object)b == null))
+                return false;
+
+            return (a.x == b.x && a.y == b.y && a.z == b.z);
+        }
+
+        public static bool operator !=(float3 a, float3 b)
+        {
+            return (a.x != b.x || a.y != b.y || a.z != b.z);
+        }
+
+        public static float dot(float3 a, float3 b)
+        {
+            return a.x * b.x + a.y * b.y + a.z * b.z;
+        }
+
+        public static float3 cmul(float3 v1, float3 v2)
+        {
+            return new float3(v1.x * v2.x, v1.y * v2.y, v1.z * v2.z);
+        }
+
+        public static float3 cross(float3 a, float3 b)
+        {
+            return new float3(a.y * b.z - a.z * b.y, a.z * b.x - a.x * b.z, a.x * b.y - a.y * b.x);
+        }
+
+        public static float3 Interpolate(float3 v0, float3 v1, float alpha)
+        {
+            return v0 * (1 - alpha) + v1 * alpha;
+        }
+
+        public static float3 Round(float3 a, int digits)
+        {
+            return new float3((float)Math.Round(a.x, digits), (float)Math.Round(a.y, digits), (float)Math.Round(a.z, digits));
+        }
+
+        public static float3 VectorMax(float3 a, float3 b)
+        {
+            return new float3(Math.Max(a.x, b.x), Math.Max(a.y, b.y), Math.Max(a.z, b.z));
+        }
+
+        public static float3 VectorMin(float3 a, float3 b)
+        {
+            return new float3(Math.Min(a.x, b.x), Math.Min(a.y, b.y), Math.Min(a.z, b.z));
+        }
+
+        public static float3 vabs(float3 v)
+        {
+            return new float3(Math.Abs(v.x), Math.Abs(v.y), Math.Abs(v.z));
+        }
+
+        public static float magnitude(float3 v)
+        {
+            return (float)Math.Sqrt(v.x * v.x + v.y * v.y + v.z * v.z);
+        }
+
+        public static float3 normalize(float3 v)
+        {
+            float d = magnitude(v);
+            if (d == 0)
+                d = 0.1f;
+            d = 1 / d;
+            return new float3(v.x * d, v.y * d, v.z * d);
+        }
+
+        public static float3 safenormalize(float3 v)
+        {
+            if (magnitude(v) <= 0.0f)
+                return new float3(1, 0, 0);
+            else
+                return normalize(v);
+        }
+
+        public static float Yaw(float3 v)
+        {
+            return (v.y == 0.0 && v.x == 0.0) ? 0.0f : (float)Math.Atan2(-v.x, v.y) * (180.0f / 3.14159264f);
+        }
+
+        public static float Pitch(float3 v)
+        {
+            return (float)Math.Atan2(v.z, Math.Sqrt(v.x * v.x + v.y * v.y)) * (180.0f / 3.14159264f);
+        }
+
+        public float ComputePlane(float3 A, float3 B, float3 C)
+        {
+            float vx, vy, vz, wx, wy, wz, vw_x, vw_y, vw_z, mag;
+
+            vx = (B.x - C.x);
+            vy = (B.y - C.y);
+            vz = (B.z - C.z);
+
+            wx = (A.x - B.x);
+            wy = (A.y - B.y);
+            wz = (A.z - B.z);
+
+            vw_x = vy * wz - vz * wy;
+            vw_y = vz * wx - vx * wz;
+            vw_z = vx * wy - vy * wx;
+
+            mag = (float)Math.Sqrt((vw_x * vw_x) + (vw_y * vw_y) + (vw_z * vw_z));
+
+            if (mag < 0.000001f)
+            {
+                mag = 0;
+            }
+            else
+            {
+                mag = 1.0f / mag;
+            }
+
+            x = vw_x * mag;
+            y = vw_y * mag;
+            z = vw_z * mag;
+
+            float D = 0.0f - ((x * A.x) + (y * A.y) + (z * A.z));
+            return D;
+        }
+
+        public override string ToString()
+        {
+            return String.Format("<{0}, {1}, {2}>", x, y, z);
+        }
+
+        public static readonly float3 Zero = new float3();
+    }
+}