/// Credit Farfarer /// Sourced from - https://gist.github.com/Farfarer/a765cd07920d48a8713a0c1924db6d70 /// Updated for UI / 2D - SimonDarksideJ using System; using System.Collections.Generic; namespace UnityEngine.UI.Extensions { [System.Serializable] public class CableCurve { [SerializeField] Vector2 m_start; [SerializeField] Vector2 m_end; [SerializeField] float m_slack; [SerializeField] int m_steps; [SerializeField] bool m_regen; static Vector2[] emptyCurve = new Vector2[] { new Vector2(0.0f, 0.0f), new Vector2(0.0f, 0.0f) }; [SerializeField] Vector2[] points; public bool regenPoints { get { return m_regen; } set { m_regen = value; } } public Vector2 start { get { return m_start; } set { if (value != m_start) m_regen = true; m_start = value; } } public Vector2 end { get { return m_end; } set { if (value != m_end) m_regen = true; m_end = value; } } public float slack { get { return m_slack; } set { if (value != m_slack) m_regen = true; m_slack = Mathf.Max(0.0f, value); } } public int steps { get { return m_steps; } set { if (value != m_steps) m_regen = true; m_steps = Mathf.Max(2, value); } } public Vector2 midPoint { get { Vector2 mid = Vector2.zero; if (m_steps == 2) { return (points[0] + points[1]) * 0.5f; } else if (m_steps > 2) { int m = m_steps / 2; if ((m_steps % 2) == 0) { mid = (points[m] + points[m + 1]) * 0.5f; } else { mid = points[m]; } } return mid; } } public CableCurve() { points = emptyCurve; m_start = Vector2.up; m_end = Vector2.up + Vector2.right; m_slack = 0.5f; m_steps = 20; m_regen = true; } public CableCurve(Vector2[] inputPoints) { points = inputPoints; m_start = inputPoints[0]; m_end = inputPoints[1]; m_slack = 0.5f; m_steps = 20; m_regen = true; } public CableCurve(List inputPoints) { points = inputPoints.ToArray(); m_start = inputPoints[0]; m_end = inputPoints[1]; m_slack = 0.5f; m_steps = 20; m_regen = true; } public CableCurve(CableCurve v) { points = v.Points(); m_start = v.start; m_end = v.end; m_slack = v.slack; m_steps = v.steps; m_regen = v.regenPoints; } public Vector2[] Points() { if (!m_regen) return points; if (m_steps < 2) return emptyCurve; float lineDist = Vector2.Distance(m_end, m_start); float lineDistH = Vector2.Distance(new Vector2(m_end.x, m_start.y), m_start); float l = lineDist + Mathf.Max(0.0001f, m_slack); float r = 0.0f; float s = m_start.y; float u = lineDistH; float v = end.y; if ((u - r) == 0.0f) return emptyCurve; float ztarget = Mathf.Sqrt(Mathf.Pow(l, 2.0f) - Mathf.Pow(v - s, 2.0f)) / (u - r); int loops = 30; int iterationCount = 0; int maxIterations = loops * 10; // For safety. bool found = false; float z = 0.0f; float ztest = 0.0f; float zstep = 100.0f; float ztesttarget = 0.0f; for (int i = 0; i < loops; i++) { for (int j = 0; j < 10; j++) { iterationCount++; ztest = z + zstep; ztesttarget = (float)Math.Sinh(ztest) / ztest; if (float.IsInfinity(ztesttarget)) continue; if (ztesttarget == ztarget) { found = true; z = ztest; break; } else if (ztesttarget > ztarget) { break; } else { z = ztest; } if (iterationCount > maxIterations) { found = true; break; } } if (found) break; zstep *= 0.1f; } float a = (u - r) / 2.0f / z; float p = (r + u - a * Mathf.Log((l + v - s) / (l - v + s))) / 2.0f; float q = (v + s - l * (float)Math.Cosh(z) / (float)Math.Sinh(z)) / 2.0f; points = new Vector2[m_steps]; float stepsf = m_steps - 1; float stepf; for (int i = 0; i < m_steps; i++) { stepf = i / stepsf; Vector2 pos = Vector2.zero; pos.x = Mathf.Lerp(start.x, end.x, stepf); pos.y = a * (float)Math.Cosh(((stepf * lineDistH) - p) / a) + q; points[i] = pos; } m_regen = false; return points; } } }