Test/Assets/ColbyO/VNTG/Example/Scripts/MathExt.cs

using UnityEngine;

namespace ColbyO.VNTG.Example
{
    //-----------------------------------------------------------------------
    // Author:  SmokeyTheKittyKat & Colby-O
    // File:    MathExt.cs
    //-----------------------------------------------------------------------
    public static class MathExt
    {
        [System.Serializable]
        public class Transform
        {
            public Vector3 position;
            public Quaternion rotation;
            
            public static implicit operator Transform(UnityEngine.Transform trans)
            {
                return new Transform(trans); 
            }

            public Transform()
            {
                this.position = Vector3.zero;
                this.rotation = Quaternion.identity;
            }
                
            public Transform(Vector3 position, Quaternion rotation)
            {
                this.position = position;
                this.rotation = Quaternion.Normalize(rotation);
            }
            
            public static Transform FromLocal(UnityEngine.Transform transform)
            {
                return new Transform(transform.localPosition, transform.localRotation);
            }
            
            public Transform(UnityEngine.Transform transform)
            {
                this.position = transform.position;
                this.rotation = Quaternion.Normalize(transform.rotation);
            }

            public void ApplyTo(UnityEngine.Transform transform)
            {
                transform.position = this.position;
                transform.rotation = this.rotation;
            }
            
            public void ApplyToLocal(UnityEngine.Transform transform)
            {
                transform.localPosition = this.position;
                transform.localRotation = this.rotation;
            }

            public static Transform Lerp(Transform a, Transform b, float t)
            {
                return new Transform(
                    Vector3.Lerp(a.position, b.position, t),
                    Quaternion.Lerp(a.rotation, b.rotation, t));
            }
            public static Transform Slerp(Transform a, Transform b, float t)
            {
                return new Transform(
                                 new Vector3(
                                     Mathf.SmoothStep(a.position.x, b.position.x, t),
                                     Mathf.SmoothStep(a.position.y, b.position.y, t),
                                     Mathf.SmoothStep(a.position.z, b.position.z, t)),
                                 Quaternion.Slerp(a.rotation, b.rotation, t));
            }

            public void Translate(Vector3 by)
            {
                this.position += this.rotation * by;
            }

        }
        public static float Square(float value)
        {
            return value * value;
        }
        public static float Remap(float value, float inputStart, float inputEnd, float outputStart, float outputEnd)
        {
            return (value - inputStart) / (inputEnd - inputStart) * (outputEnd - outputStart) + outputStart;
        }
        public static float Sign(float value)
        {
            return value < 0 ? -1 : 1;
        }
        
        public static Quaternion ExtractRotation(this Matrix4x4 matrix)
        {
            Vector3 forward;
            forward.x = matrix.m02;
            forward.y = matrix.m12;
            forward.z = matrix.m22;

            Vector3 upwards;
            upwards.x = matrix.m01;
            upwards.y = matrix.m11;
            upwards.z = matrix.m21;

            return Quaternion.LookRotation(forward, upwards);
        }

        public static float AngleToShortestDirection(float from, float to)
        {
            from = Mathf.Repeat(from, 360);
            to = Mathf.Repeat(to, 360);
            float diff = to - from;
            if (Mathf.Abs(diff) <= 180) return Mathf.Sign(diff);
            else return -Mathf.Sign(diff);
        }

        public static float AngleAs180(float angle) => Mathf.Repeat(angle + 180, 360) - 180;
        
        public static Vector3 AngleAs180(this Vector3 ea)
        {
            return new Vector3(
                MathExt.AngleAs180(ea.x),
                MathExt.AngleAs180(ea.y),
                MathExt.AngleAs180(ea.z));
        }

        public static Vector3 ExtractPosition(this Matrix4x4 matrix)
        {
            Vector3 position;
            position.x = matrix.m03;
            position.y = matrix.m13;
            position.z = matrix.m23;
            return position;
        }

        public static Vector3 ExtractScale(this Matrix4x4 matrix)
        {
            Vector3 scale;
            scale.x = new Vector4(matrix.m00, matrix.m10, matrix.m20, matrix.m30).magnitude;
            scale.y = new Vector4(matrix.m01, matrix.m11, matrix.m21, matrix.m31).magnitude;
            scale.z = new Vector4(matrix.m02, matrix.m12, matrix.m22, matrix.m32).magnitude;
            return scale;
        }

        public static int SignInt(float v)
        {
            return Mathf.RoundToInt(Mathf.Sign(v));
        }
        
        public static Vector2 SetX(this Vector2 v, float x)
        {
            v.x = x;
            return v;
        }
        public static Vector2 SetY(this Vector2 v, float x)
        {
            v.y = x;
            return v;
        }

        public static Vector3 SetX(this Vector3 v, float x)
        {
            v.x = x;
            return v;
        }
        public static Vector3 SetY(this Vector3 v, float x)
        {
            v.y = x;
            return v;
        }
        public static Vector3 SetZ(this Vector3 v, float x)
        {
            v.z = x;
            return v;
        }
        public static Vector2 AddX(this Vector2 v, float x)
        {
            v.x += x;
            return v;
        }
        public static Vector2 AddY(this Vector2 v, float x)
        {
            v.y += x;
            return v;
        }

        public static Vector3 AddX(this Vector3 v, float x)
        {
            v.x += x;
            return v;
        }
        public static Vector3 AddY(this Vector3 v, float x)
        {
            v.y += x;
            return v;
        }
        public static Vector3 AddZ(this Vector3 v, float x)
        {
            v.z += x;
            return v;
        }

        public static Color SetR(this Color c, float v)
        {
            c.r = v;
            return c;
        }

        public static Color SetG(this Color c, float v)
        {
            c.g = v;
            return c;
        }

        public static Color SetB(this Color c, float v)
        {
            c.b = v;
            return c;
        }

        public static Color SetA(this Color c, float v)
        {
            c.a = v;
            return c;
        }

        public static float AngleBetweenVectorsOnPlane(Vector3 v1, Vector3 v2, Vector3 planeNormal)
        {
            v1 = v1.normalized;
            v2 = v2.normalized;
            planeNormal = planeNormal.normalized;
            Vector3 proj1 = Vector3.Normalize(v1 - planeNormal * Vector3.Dot(v1, planeNormal));
            Vector3 proj2 = Vector3.Normalize(v2 - planeNormal * Vector3.Dot(v2, planeNormal));

            if (proj1.magnitude < 0.0001 || proj2.magnitude < 0.0001) return 0;

            float angle = Mathf.Atan2(Vector3.Dot(planeNormal, Vector3.Cross(proj1, proj2)), Vector3.Dot(proj1, proj2));
            return angle * 180.0f / Mathf.PI;
        }

        public static float ClampMagnitude(float v, float low, float high)
        {
            float av = Mathf.Clamp(Mathf.Abs(v), low, high);
            return av * Mathf.Sign(v);
        }

        public static float Clamp01(float v)
        {
            if (v < 0) return 0;
            if (v > 1) return 1;
            return v;
        }
    }
}