288 lines
11 KiB
C++
288 lines
11 KiB
C++
///////////////////////////////////////////////////////////////////////////
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//
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// Copyright (c) 2007, Industrial Light & Magic, a division of Lucas
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// Digital Ltd. LLC
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//
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// All rights reserved.
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//
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// Redistribution and use in source and binary forms, with or without
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// modification, are permitted provided that the following conditions are
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// met:
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// * Redistributions of source code must retain the above copyright
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// notice, this list of conditions and the following disclaimer.
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// * Redistributions in binary form must reproduce the above
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// copyright notice, this list of conditions and the following disclaimer
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// in the documentation and/or other materials provided with the
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// distribution.
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// * Neither the name of Industrial Light & Magic nor the names of
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// its contributors may be used to endorse or promote products derived
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// from this software without specific prior written permission.
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//
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// THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS
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// "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT
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// LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR
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// A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT
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// OWNER OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL,
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// SPECIAL, EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT
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// LIMITED TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,
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// DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY
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// THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT
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// (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE
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// OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE.
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//
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///////////////////////////////////////////////////////////////////////////
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#include <testVec.h>
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#include "ImathVec.h"
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#include "ImathFun.h"
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#include "ImathLimits.h"
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#include <iostream>
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#include <cassert>
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#include <cmath>
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using namespace std;
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using namespace IMATH_INTERNAL_NAMESPACE;
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namespace {
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template <class T>
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void
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testLength2T ()
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{
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const T s = Math<T>::sqrt (limits<T>::smallest());
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const T e = 4 * limits<T>::epsilon();
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Vec2<T> v;
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v = Vec2<T> (0, 0);
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assert (v.length() == 0);
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assert (v.normalized().length() == 0);
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v = Vec2<T> (3, 4);
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assert (v.length() == 5);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec2<T> (3000, 4000);
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assert (v.length() == 5000);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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T t = s * (1 << 4);
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v = Vec2<T> (t, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec2<T> (0, t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec2<T> (-t, -t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t * Math<T>::sqrt (2), t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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t = s / (1 << 4);
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v = Vec2<T> (t, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec2<T> (0, t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec2<T> (-t, -t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t * Math<T>::sqrt (2), t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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t = s / (1 << 20);
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v = Vec2<T> (t, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec2<T> (0, t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec2<T> (-t, -t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t * Math<T>::sqrt (2), t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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}
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template <class T>
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void
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testLength3T ()
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{
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const T s = Math<T>::sqrt (limits<T>::smallest());
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const T e = 4 * limits<T>::epsilon();
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Vec3<T> v;
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v = Vec3<T> (0, 0, 0);
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assert (v.length() == 0);
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assert (v.normalized().length() == 0);
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v = Vec3<T> (3, 4, 0);
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assert (v.length() == 5);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec3<T> (3000, 4000, 0);
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assert (v.length() == 5000);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec3<T> (1, -1, 1);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), 1 * Math<T>::sqrt (3), e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec3<T> (1000, -1000, 1000);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), 1000 * Math<T>::sqrt (3), 1000 * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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T t = s * (1 << 4);
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v = Vec3<T> (t, 0, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec3<T> (0, t, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec3<T> (0, 0, t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec3<T> (-t, -t, -t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t * Math<T>::sqrt (3), t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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t = s / (1 << 4);
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v = Vec3<T> (t, 0, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec3<T> (0, t, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec3<T> (0, 0, t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec3<T> (-t, -t, -t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t * Math<T>::sqrt (3), t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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t = s / (1 << 20);
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v = Vec3<T> (t, 0, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec3<T> (0, t, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec3<T> (0, 0, t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec3<T> (-t, -t, -t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t * Math<T>::sqrt (3), t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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}
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template <class T>
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void
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testLength4T ()
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{
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const T s = Math<T>::sqrt (limits<T>::smallest());
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const T e = 4 * limits<T>::epsilon();
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Vec4<T> v;
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v = Vec4<T> (0, 0, 0, 0);
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assert (v.length() == 0);
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assert (v.normalized().length() == 0);
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v = Vec4<T> (3, 4, 0, 0);
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assert (v.length() == 5);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (3000, 4000, 0, 0);
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assert (v.length() == 5000);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (1, -1, 1, 1);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), 2, e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (1000, -1000, 1000, 1000);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), 2000, 1000 * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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T t = s * (1 << 4);
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v = Vec4<T> (t, 0, 0, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (0, t, 0, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (0, 0, t, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (0, 0, 0, t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (-t, -t, -t, -t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t * 2, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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t = s / (1 << 4);
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v = Vec4<T> (t, 0, 0, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (0, t, 0, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (0, 0, t, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (0, 0, 0, t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (-t, -t, -t, -t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t * 2, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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t = s / (1 << 20);
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v = Vec4<T> (t, 0, 0, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (0, t, 0, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (0, 0, t, 0);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (0, 0, 0, t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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v = Vec4<T> (-t, -t, -t, -t);
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.length(), t * 2, t * e));
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assert (IMATH_INTERNAL_NAMESPACE::equal (v.normalized().length(), 1, e));
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}
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} // namespace
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void
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testVec ()
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{
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cout << "Testing some basic vector operations" << endl;
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testLength2T<float>();
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testLength2T<double>();
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testLength3T<float>();
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testLength3T<double>();
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testLength4T<float>();
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testLength4T<double>();
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cout << "ok\n" << endl;
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}
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