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55 行
1.6 KiB
55 行
1.6 KiB
using System;
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using UnityEngine;
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[Serializable]
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public struct Barycentric
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{
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public float u;
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public float v;
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public float w;
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public Barycentric(ref Vector3 q, ref Vector3 a, ref Vector3 b, ref Vector3 c)
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{
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// compute (u, v, w) for point q in plane spanned by triangle (a, b, c)
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// https://gamedev.stackexchange.com/a/23745
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//Vector3 v0 = b - a;
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float x0 = b.x - a.x;
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float y0 = b.y - a.y;
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float z0 = b.z - a.z;
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//Vector3 v1 = c - a;
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float x1 = c.x - a.x;
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float y1 = c.y - a.y;
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float z1 = c.z - a.z;
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//Vector3 v2 = q - a;
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float x2 = q.x - a.x;
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float y2 = q.y - a.y;
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float z2 = q.z - a.z;
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float d00 = x0 * x0 + y0 * y0 + z0 * z0;//Vector3.Dot(v0, v0);
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float d01 = x0 * x1 + y0 * y1 + z0 * z1;//Vector3.Dot(v0, v1);
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float d11 = x1 * x1 + y1 * y1 + z1 * z1;//Vector3.Dot(v1, v1);
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float d20 = x2 * x0 + y2 * y0 + z2 * z0;//Vector3.Dot(v2, v0);
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float d21 = x2 * x1 + y2 * y1 + z2 * z1;//Vector3.Dot(v2, v1);
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float denom = d00 * d11 - d01 * d01;
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v = (d11 * d20 - d01 * d21) / denom;
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w = (d00 * d21 - d01 * d20) / denom;
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u = 1.0f - v - w;
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}
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public Vector3 Resolve(ref Vector3 a, ref Vector3 b, ref Vector3 c)
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{
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//return a * u + b * v + c * w;
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Vector3 q;
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q.x = a.x * u + b.x * v + c.x * w;
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q.y = a.y * u + b.y * v + c.y * w;
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q.z = a.z * u + b.z * v + c.z * w;
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return q;
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}
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public bool Within()
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{
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return (u >= 0.0f && u <= 1.0f) && (v >= 0.0f && v <= 1.0f) && (w >= 0.0f && w <= 1.0f);
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}
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}
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