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Commit ec3cc85

Browse files
committed
add line/plane intersection schemes
1 parent 5c9409a commit ec3cc85

19 files changed

+769
-6140
lines changed

‎Assets/Coords.cs

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using System.Collections;
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using System.Collections.Generic;
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using UnityEngine;
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public class Coords
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{
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public float x;
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public float y;
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public float z;
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public Coords(float _X, float _Y)
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{
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x = _X;
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y = _Y;
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z = -1;
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}
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public Coords(float _X, float _Y, float _Z)
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{
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x = _X;
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y = _Y;
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z = _Z;
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}
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public Coords(Vector3 vecpos)
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{
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x = vecpos.x;
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y = vecpos.y;
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z = vecpos.z;
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}
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public override string ToString()
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{
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return "(" + x + "," + y + "," + z + ")";
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}
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public Vector3 ToVector()
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{
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return new Vector3(x, y, z);
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}
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static public Coords operator +(Coords a, Coords b)
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{
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return new Coords(a.x + b.x, a.y + b.y, a.z + b.z);
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}
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static public Coords operator -(Coords a, Coords b)
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{
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return new Coords(a.x - b.x, a.y - b.y, a.z - b.z);
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}
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static public void DrawLine(Coords startPoint, Coords endPoint, float width, Color colour)
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{
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GameObject line = new GameObject("Line_" + startPoint.ToString() + "_" + endPoint.ToString());
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LineRenderer lineRenderer = line.AddComponent<LineRenderer>();
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lineRenderer.material = new Material(Shader.Find("Unlit/Color"));
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lineRenderer.material.color = colour;
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lineRenderer.positionCount = 2;
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lineRenderer.SetPosition(0, new Vector3(startPoint.x, startPoint.y, startPoint.z));
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lineRenderer.SetPosition(1, new Vector3(endPoint.x, endPoint.y, endPoint.z));
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lineRenderer.startWidth = width;
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lineRenderer.endWidth = width;
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}
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static public Coords Perp(Coords v)
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{
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return new Coords(-v.y, v.x);
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}
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static public void DrawPoint(Coords position, float width, Color colour)
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{
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GameObject line = new GameObject("Point_" + position.ToString());
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LineRenderer lineRenderer = line.AddComponent<LineRenderer>();
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lineRenderer.material = new Material(Shader.Find("Unlit/Color"));
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lineRenderer.material.color = colour;
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lineRenderer.positionCount = 2;
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lineRenderer.SetPosition(0, new Vector3(position.x - width / 3.0f, position.y - width / 3.0f, position.z));
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lineRenderer.SetPosition(1, new Vector3(position.x + width / 3.0f, position.y + width / 3.0f, position.z));
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lineRenderer.startWidth = width;
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lineRenderer.endWidth = width;
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}
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}

‎Assets/Scenes/CartesianPlayground/Coords.cs.meta renamed to ‎Assets/Coords.cs.meta

Lines changed: 1 addition & 1 deletion
Some generated files are not rendered by default. Learn more about customizing how changed files appear on GitHub.

‎Assets/CreateLines.cs

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using System.Collections;
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using System.Collections.Generic;
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using UnityEngine;
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public class CreateLines : MonoBehaviour
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{
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Line L1;
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Line L2;
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// Start is called before the first frame update
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void Start()
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{
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L1 = new Line(new Coords(0.0f, 0.0f, 0.0f), new Coords(-6.0f, 7.0f, 3.0f));
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L1.Draw(1, Color.green);
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L2 = new Line(new Coords(0.0f, 0.0f, 0.0f), new Coords(-7.0f, -6.0f, 6.0f));
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L2.Draw(1, Color.red);
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float intersectT = L1.IntersectsAt(L2);
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float intersectS = L2.IntersectsAt(L1);
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if (intersectT == intersectT && intersectS == intersectS)
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{
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GameObject sphere = GameObject.CreatePrimitive(PrimitiveType.Sphere);
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sphere.transform.position = L1.Lerp(intersectT).ToVector();
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}
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}
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// Update is called once per frame
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void Update()
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{
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}
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}

‎Assets/Scenes/CartesianPlayground/DrawGraph.cs.meta renamed to ‎Assets/CreateLines.cs.meta

Lines changed: 1 addition & 1 deletion
Some generated files are not rendered by default. Learn more about customizing how changed files appear on GitHub.

‎Assets/HolisticMath.cs

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using System.Collections;
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using System.Collections.Generic;
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using UnityEngine;
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public class HolisticMath
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{
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static public float Square(float value)
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{
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return value * value;
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}
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static public float Distance(Coords point1, Coords point2)
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{
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float diffSquared = Square(point1.x - point2.x) +
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Square(point1.y - point2.y) +
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Square(point1.z - point2.z);
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float squareRoot = Mathf.Sqrt(diffSquared);
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//if you are interested in how the Sqrt is calculated see
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//https://www.codeproject.com/Articles/570700/SquareplusRootplusalgorithmplusforplusC
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return squareRoot;
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}
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static public Coords Lerp(Coords A, Coords B, float t)
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{
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t = Mathf.Clamp(t, 0, 1);
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Coords v = new Coords(B.x - A.x, B.y - A.y, B.z - A.z);
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float xt = A.x + v.x * t;
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float yt = A.y + v.y * t;
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float zt = A.z + v.z * t;
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return new Coords(xt, yt, zt);
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}
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static public Coords GetNormal(Coords vector)
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{
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float length = Distance(new Coords(0, 0, 0), vector);
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vector.x /= length;
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vector.y /= length;
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vector.z /= length;
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return vector;
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}
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static public float Dot(Coords vector1, Coords vector2)
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{
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return (vector1.x * vector2.x + vector1.y * vector2.y + vector1.z * vector2.z);
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}
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static public float Angle(Coords vector1, Coords vector2)
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{
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float dotDivide = Dot(vector1, vector2) / (Distance(new Coords(0, 0, 0), vector1) * Distance(new Coords(0, 0, 0), vector2));
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return Mathf.Acos(dotDivide); //radians. For degrees * 180/Mathf.PI;
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}
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static public Coords Cross(Coords vector1, Coords vector2)
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{
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float iMult = vector1.y * vector2.z - vector1.z * vector2.y;
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float jMult = vector1.z * vector2.x - vector1.x * vector2.z;
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float kMult = vector1.x * vector2.y - vector1.y * vector2.x;
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Coords crossProd = new Coords(iMult, jMult, kMult);
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return crossProd;
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}
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static public Coords Rotate(Coords vector, float angle, bool clockwise)
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//angle in radians please
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{
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if (clockwise)
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angle = 2*Mathf.PI - angle;
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float xVal = vector.x * Mathf.Cos(angle) - vector.y * Mathf.Sin(angle);
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float yVal = vector.x * Mathf.Sin(angle) + vector.y * Mathf.Cos(angle);
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return new Coords(xVal, yVal, 0);
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}
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}

‎Assets/Move.cs.meta renamed to ‎Assets/HolisticMath.cs.meta

Lines changed: 1 addition & 1 deletion
Some generated files are not rendered by default. Learn more about customizing how changed files appear on GitHub.

‎Assets/Line.cs

Lines changed: 52 additions & 21 deletions
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using System.Collections;
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using System.Collections;
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using System.Collections.Generic;
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using Unity.VisualScripting;
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using UnityEngine;
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public class Line
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{
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public Vector3 A;
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public Vector3 B;
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public Vector3 v;
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Coords A, B, v;
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public enum LINETYPE
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{
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LINE,
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SEGMENT,
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RAY
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}
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12-
public enum LINETYPE { LINE, SEGMENT, RAY };
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LINETYPE type;
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15-
public Line(Vector3A,Vector3B, LINETYPE type)
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public Line(Coords_A,Coords_B, LINETYPE _type)
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{
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this.A = A;
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this.B = B;
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this.v = B-A;
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this.type = type;
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A = _A;
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B = _B;
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type = _type;
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v = newCoords(B.x-A.x,B.y-A.y,B.z-A.z);
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}
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23-
public Vector3Lerp(floatt)
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public Line(Coords_A,Coords_V)
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{
25-
if (type == LINETYPE.LINE)
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{
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t = Mathf.Clamp(t, float.MinValue, float.MaxValue);
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}
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else if (type == LINETYPE.SEGMENT)
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A = _A;
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v = _V;
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B = _A + v;
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type = LINETYPE.SEGMENT;
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}
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public float IntersectsAt(Line l)
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{
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if(HolisticMath.Dot(Coords.Perp(l.v), v) == 0)
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{
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t=Mathf.Clamp01(t);
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returnfloat.NaN;
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}
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else if (type == LINETYPE.RAY)
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Coords c = l.A - this.A;
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float t = HolisticMath.Dot(Coords.Perp(l.v), c) / HolisticMath.Dot(Coords.Perp(l.v), v);
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if(t < 0 || t > 1 && type == LINETYPE.SEGMENT)
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{
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t=Mathf.Clamp(t,0,float.MaxValue);
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returnfloat.NaN;
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}
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38-
return A + (v * t);
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return t;
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}
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public void Draw(float width, Color col)
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{
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Coords.DrawLine(A, B, width, col);
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}
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public Coords Lerp(float t)
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{
60+
if (type == LINETYPE.SEGMENT)
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t = Mathf.Clamp(t, 0, 1);
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else if (type == LINETYPE.RAY && t < 0)
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t = 0;
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float xt = A.x + v.x * t;
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float yt = A.y + v.y * t;
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float zt = A.z + v.z * t;
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return new Coords(xt, yt, zt);
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}
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}

‎Assets/Move.cs

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This file was deleted.

‎Assets/Plane.cs

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using System.Collections;
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using System.Collections.Generic;
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using UnityEngine;
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public class Plane
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{
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Coords A;
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Coords B;
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Coords C;
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Coords v;
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Coords u;
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public Plane(Coords _A, Coords _B, Coords _C)
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{
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A = _A;
16+
B = _B;
17+
C = _C;
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v = B - A;
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u = C - A;
20+
}
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public Plane(Coords _A, Vector3 V, Vector3 U)
23+
{
24+
A = _A;
25+
v = new Coords(V.x, V.y, V.z);
26+
u = new Coords(U.x, U.y, U.z);
27+
}
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29+
public Coords Lerp(float s, float t)
30+
{
31+
float xst = A.x + v.x * s + u.x * t;
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float yst = A.y + v.y * s + u.y * t;
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float zst = A.z + v.z * s + u.z * t;
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return new Coords(xst, yst, zst);
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}
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}

‎Assets/Scenes/CartesianPlayground/DrawLines.cs.meta renamed to ‎Assets/Plane.cs.meta

Lines changed: 1 addition & 1 deletion
Some generated files are not rendered by default. Learn more about customizing how changed files appear on GitHub.

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