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kaplademo/source/kaplaDemo/Vec/Plane.h

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+//
+// Redistribution and use in source and binary forms, with or without
+// modification, are permitted provided that the following conditions
+// are met:
+//  * Redistributions of source code must retain the above copyright
+//    notice, this list of conditions and the following disclaimer.
+//  * Redistributions in binary form must reproduce the above copyright
+//    notice, this list of conditions and the following disclaimer in the
+//    documentation and/or other materials provided with the distribution.
+//  * Neither the name of NVIDIA CORPORATION nor the names of its
+//    contributors may be used to endorse or promote products derived
+//    from this software without specific prior written permission.
+//
+// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS ``AS IS'' AND ANY
+// EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED TO, THE
+// IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A PARTICULAR
+// PURPOSE ARE DISCLAIMED.  IN NO EVENT SHALL THE COPYRIGHT OWNER OR
+// CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,
+// EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO,
+// PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR
+// PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY
+// OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
+// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
+// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
+//
+// Copyright (c) 2018 NVIDIA Corporation. All rights reserved.
+
+#ifndef PLANE_H
+#define PLANE_H
+
+#include "Vec3.H"
+
+//	Singe / VecReal Precision Vec 3
+//  Matthias Mueller
+//  derived from Plane
+
+namespace M
+{
+
+class Plane
+{
+public:
+	Plane() {}
+	Plane(VecReal nx, VecReal ny, VecReal nz, VecReal distance)
+		: n(nx, ny, nz)
+		, d(distance)
+	{}
+
+	Plane(const Vec3& normal, VecReal distance) 
+		: n(normal)
+		, d(distance)
+	{}
+
+	Plane(const Vec3& point, const Vec3& normal)
+		: n(normal)		
+		, d(-point.dot(n))		// p satisfies normal.dot(p) + d = 0
+	{
+	}
+
+	Plane(const Vec3& p0, const Vec3& p1, const Vec3& p2)
+	{
+		n = (p1 - p0).cross(p2 - p0).getNormalized();
+		d = -p0.dot(n);
+	}
+
+	VecReal distance(const Vec3& p) const
+	{
+		return p.dot(n) + d;
+	}
+
+	bool contains(const Vec3& p) const
+	{
+		return vecAbs(distance(p)) < (1.0e-7f);
+	}
+
+	Vec3 project(const Vec3 & p) const
+	{
+		return p - n * distance(p);
+	}
+
+	Vec3 pointInPlane() const
+	{
+		return -n*d;
+	}
+
+	void normalize()
+	{
+		VecReal denom = 1.0f / n.magnitude();
+		n *= denom;
+		d *= denom;
+	}
+
+	Vec3	n;			//!< The normal to the plane
+	VecReal	d;			//!< The distance from the origin
+};
+
+}
+
+#endif
+