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83 lines
2.7 KiB
C#
83 lines
2.7 KiB
C#
using UnityEngine;
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using System.Collections;
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namespace RootMotion
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{
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/// <summary>
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/// Helper methods for dealing with 2-dimensional vectors.
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/// </summary>
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public static class V2Tools
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{
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/// <summary>
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/// Converts Vector3 to Vector2 on the XZ plane
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/// </summary>
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public static Vector2 XZ(Vector3 v)
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{
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return new Vector2(v.x, v.z);
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}
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/// <summary>
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/// Returns delta angle from 'dir1' to 'dir2' in degrees.
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/// </summary>
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public static float DeltaAngle(Vector2 dir1, Vector2 dir2)
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{
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float angle1 = Mathf.Atan2(dir1.x, dir1.y) * Mathf.Rad2Deg;
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float angle2 = Mathf.Atan2(dir2.x, dir2.y) * Mathf.Rad2Deg;
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return Mathf.DeltaAngle(angle1, angle2);
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}
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/// <summary>
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/// Returns delta angle from Vector3 'dir1' to Vector3 'dir2' on the XZ plane in degrees.
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/// </summary>
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public static float DeltaAngleXZ(Vector3 dir1, Vector3 dir2)
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{
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float angle1 = Mathf.Atan2(dir1.x, dir1.z) * Mathf.Rad2Deg;
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float angle2 = Mathf.Atan2(dir2.x, dir2.z) * Mathf.Rad2Deg;
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return Mathf.DeltaAngle(angle1, angle2);
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}
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/// <summary>
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/// Returns true if a line from 'p1' to 'p2' intersects a circle with position 'c' and radius 'r'.
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/// </summary>
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public static bool LineCircleIntersect(Vector2 p1, Vector2 p2, Vector2 c, float r)
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{
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Vector2 d = p2 - p1;
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Vector2 f = c - p1;
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float a = Vector2.Dot(d, d);
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float b = 2f * Vector2.Dot(f, d);
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float z = Vector2.Dot(f, f) - r * r;
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float discr = b * b - 4f * a * z;
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if (discr < 0f) return false;
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discr = Mathf.Sqrt(discr);
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float a2 = 2f * a;
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float t1 = (b - discr) / a2;
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float t2 = (b + discr) / a2;
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if (t1 >= 0f && t1 <= 1f) return true;
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if (t2 >= 0f && t2 <= 1f) return true;
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return false;
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}
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/// <summary>
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/// Returns true if an infinite ray 'dir' from position 'p1' intersects a circle with position 'c' and radius 'r'.
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/// </summary>
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public static bool RayCircleIntersect(Vector2 p1, Vector2 dir, Vector2 c, float r)
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{
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Vector2 p2 = p1 + dir;
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p1 -= c;
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p2 -= c;
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float dx = p2.x - p1.x;
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float dy = p2.y - p1.y;
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float dr = Mathf.Sqrt(Mathf.Pow(dx, 2f) + Mathf.Pow(dy, 2f));
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float D = p1.x * p2.y - p2.x * p1.y;
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float discr = Mathf.Pow(r, 2f) * Mathf.Pow(dr, 2f) - Mathf.Pow(D, 2f);
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return discr >= 0f;
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}
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}
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}
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