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cs440-acg/ext/openexr/IlmBase/Imath/ImathVecAlgo.h

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+///////////////////////////////////////////////////////////////////////////
+//
+// Copyright (c) 2002-2012, Industrial Light & Magic, a division of Lucas
+// Digital Ltd. LLC
+// 
+// All rights reserved.
+// 
+// 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 Industrial Light & Magic 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 AND CONTRIBUTORS
+// "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.
+//
+///////////////////////////////////////////////////////////////////////////
+
+
+
+#ifndef INCLUDED_IMATHVECALGO_H
+#define INCLUDED_IMATHVECALGO_H
+
+//-------------------------------------------------------------------------
+//
+//      This file contains algorithms applied to or in conjunction
+//      with points (Imath::Vec2 and Imath::Vec3).
+//      The assumption made is that these functions are called much
+//      less often than the basic point functions or these functions
+//      require more support classes.
+//
+//-------------------------------------------------------------------------
+
+#include "ImathVec.h"
+#include "ImathLimits.h"
+#include "ImathNamespace.h"
+
+IMATH_INTERNAL_NAMESPACE_HEADER_ENTER
+
+
+//-----------------------------------------------------------------
+// Find the projection of vector t onto vector s (Vec2, Vec3, Vec4)
+//-----------------------------------------------------------------
+
+template <class Vec> Vec        project (const Vec &s, const Vec &t);
+
+
+//------------------------------------------------
+// Find a vector that is perpendicular to s and
+// in the same plane as s and t (Vec2, Vec3, Vec4)
+//------------------------------------------------
+
+template <class Vec> Vec        orthogonal (const Vec &s, const Vec &t);
+
+
+//-----------------------------------------------
+// Find the direction of a ray s after reflection
+// off a plane with normal t (Vec2, Vec3, Vec4)
+//-----------------------------------------------
+
+template <class Vec> Vec        reflect (const Vec &s, const Vec &t);
+
+
+//--------------------------------------------------------------------
+// Find the vertex of triangle (v0, v1, v2) that is closest to point p
+// (Vec2, Vec3, Vec4)
+//--------------------------------------------------------------------
+
+template <class Vec> Vec        closestVertex (const Vec &v0,
+                                               const Vec &v1,
+                                               const Vec &v2, 
+                                               const Vec &p);
+
+//---------------
+// Implementation
+//---------------
+
+template <class Vec>
+Vec
+project (const Vec &s, const Vec &t)
+{
+    Vec sNormalized = s.normalized();
+    return sNormalized * (sNormalized ^ t);
+}
+
+template <class Vec>
+Vec
+orthogonal (const Vec &s, const Vec &t)
+{
+    return t - project (s, t);
+}
+
+template <class Vec>
+Vec
+reflect (const Vec &s, const Vec &t)
+{
+    return s - typename Vec::BaseType(2) * (s - project(t, s));
+}
+
+template <class Vec>
+Vec
+closestVertex(const Vec &v0,
+              const Vec &v1,
+              const Vec &v2, 
+              const Vec &p)
+{
+    Vec nearest = v0;
+    typename Vec::BaseType neardot = (v0 - p).length2();
+    typename Vec::BaseType tmp     = (v1 - p).length2();
+
+    if (tmp < neardot)
+    {
+        neardot = tmp;
+        nearest = v1;
+    }
+
+    tmp = (v2 - p).length2();
+
+    if (tmp < neardot)
+    {
+        neardot = tmp;
+        nearest = v2;
+    }
+
+    return nearest;
+}
+
+
+IMATH_INTERNAL_NAMESPACE_HEADER_EXIT
+
+#endif // INCLUDED_IMATHVECALGO_H