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stgsharp/src/Nitload.Mathematics/Geometries/PlainGeometry/Plain.cs
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// -----------------------------------------------------------------------------
// file="Plain"
// Project: StgSharp
// Copyright (c) Nitload.
// SPDX-License-Identifier: MIT
// -----------------------------------------------------------------------------
using Nitload.Mathematics;
using Nitload.Mathematics.Numeric.Graphics;
using System.Numerics;
namespace Nitload.Geometries
{
public unsafe class Plain
{
internal readonly float d = -1;
internal Vec3<float> _origin;
internal Vec3<float> plainParameter;
internal Vec3<float> vec1;
internal Vec3<float> vec2;
public Plain(
Vec3<float> o,
Vec3<float> v1,
Vec3<float> v2
)
{
this._origin = o;
this.vec1 = v1 - (v2 * (v1.Y / v2.Y)); //xz
this.vec2 = v2 - (vec1 * (v2.X / v1.X)); //yz
// |_origin|-k1*|vec1|-k2*|vec2| --> plainParameter.Z;
plainParameter.Z = _origin.Z - (vec1.Z * (_origin.X / vec1.X)) - (vec2.Z * (_origin.Y / vec2.Y));
// plainParameter.Z -> plainParameter.X, plainParameter.Y
plainParameter.X = vec1.X * (vec1.Z / plainParameter.Z);
plainParameter.Y = vec2.Y * (vec2.Z / plainParameter.Z);
plainParameter.X = 1 / plainParameter.X;
plainParameter.Y = 1 / plainParameter.Y;
plainParameter.Z = 1 / plainParameter.Z;
}
public Plain(
Point p1,
Point p2,
Point p3
)
{
Vec3<float> origin = p1.Coord;
Vec3<float> v1 = p2.Coord - origin;
Vec3<float> v2 = p3.Coord - origin;
vec1 = v1 - (v2 * (v1.Y / v2.Y)); //xz
vec2 = v2 - (vec1 * (v2.X / v1.X)); //yz
// |_origin|-k1*|vec1|-k2*|vec2| --> plainParameter.Z;
plainParameter.Z = origin.Z - (vec1.Z * (origin.X / vec1.X)) - (vec2.Z * (origin.Y / vec2.Y));
// plainParameter.Z --> plainParameter.X, plainParameter.Y
plainParameter.X = vec1.X * (vec1.Z / plainParameter.Z);
plainParameter.Y = vec2.Y * (vec2.Z / plainParameter.Z);
plainParameter.X = 1 / plainParameter.X;
plainParameter.Y = 1 / plainParameter.Y;
plainParameter.Z = 1 / plainParameter.Z;
}
}
}