Disabled external gits
This commit is contained in:
272
cs440-acg/ext/openexr/IlmBase/ImathTest/testQuat.cpp
Normal file
272
cs440-acg/ext/openexr/IlmBase/ImathTest/testQuat.cpp
Normal file
@@ -0,0 +1,272 @@
|
||||
///////////////////////////////////////////////////////////////////////////
|
||||
//
|
||||
// Copyright (c) 2007, 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.
|
||||
//
|
||||
///////////////////////////////////////////////////////////////////////////
|
||||
|
||||
|
||||
#include <testQuat.h>
|
||||
#include "ImathQuat.h"
|
||||
#include "ImathMatrixAlgo.h"
|
||||
#include "ImathFun.h"
|
||||
#include "ImathLimits.h"
|
||||
#include "ImathPlatform.h" /* [i_a] M_PI_2 */
|
||||
#include <iostream>
|
||||
#include <cassert>
|
||||
#include <cmath>
|
||||
|
||||
|
||||
using namespace std;
|
||||
using namespace IMATH_INTERNAL_NAMESPACE;
|
||||
|
||||
namespace {
|
||||
|
||||
template <class T>
|
||||
void
|
||||
testQuatT ()
|
||||
{
|
||||
const T s = limits<T>::smallest();
|
||||
const T e = 4 * limits<T>::epsilon();
|
||||
|
||||
//
|
||||
// constructors, r(), v()
|
||||
//
|
||||
|
||||
{
|
||||
Quat<T> q = Quat<T>();
|
||||
assert (q.r == 1 && q.v == Vec3<T> (0, 0, 0));
|
||||
|
||||
q = Quat<T> (2, 3, 4, 5);
|
||||
assert (q.r == 2 && q.v == Vec3<T> (3, 4, 5));
|
||||
|
||||
q = Quat<T> (6, Vec3<T> (7, 8, 9));
|
||||
assert (q.r == 6 && q.v == Vec3<T> (7, 8, 9));
|
||||
|
||||
Quat<T> q1 = Quat<T> (q);
|
||||
assert (q1.r == 6 && q1.v == Vec3<T> (7, 8, 9));
|
||||
}
|
||||
|
||||
//
|
||||
// invert(), inverse()
|
||||
//
|
||||
|
||||
{
|
||||
Quat<T> q = Quat<T> (1, 0, 0, 1);
|
||||
assert (q.inverse() == Quat<T> (0.5, 0, 0, -0.5));
|
||||
|
||||
q.invert();
|
||||
assert (q == Quat<T> (0.5, 0, 0, -0.5));
|
||||
}
|
||||
|
||||
//
|
||||
// normalize(), normalized()
|
||||
//
|
||||
|
||||
{
|
||||
Quat<T> q = Quat<T> (2, Vec3<T> (0, 0, 0));
|
||||
assert (q.normalized() == Quat<T> (1, 0, 0, 0));
|
||||
|
||||
q.normalize();
|
||||
assert (q == Quat<T> (1, 0, 0, 0));
|
||||
|
||||
q = Quat<T> (0, Vec3<T> (0, 2, 0));
|
||||
assert (q.normalized() == Quat<T> (0, 0, 1, 0));
|
||||
|
||||
q.normalize();
|
||||
assert (q == Quat<T> (0, 0, 1, 0));
|
||||
}
|
||||
|
||||
//
|
||||
// length()
|
||||
//
|
||||
|
||||
{
|
||||
Quat<T> q = Quat<T> (3, 0, 4, 0);
|
||||
assert (q.length() == 5);
|
||||
}
|
||||
|
||||
//
|
||||
// setAxisAngle(), angle(), axis()
|
||||
//
|
||||
|
||||
{
|
||||
Quat<T> q;
|
||||
q.setAxisAngle (Vec3<T> (0, 0, 1), M_PI_2);
|
||||
Vec3<T> v = q.axis();
|
||||
T a = q.angle();
|
||||
assert (v.equalWithAbsError (Vec3<T> (0, 0, 1), e));
|
||||
assert (IMATH_INTERNAL_NAMESPACE::equal (a, T (M_PI_2), e));
|
||||
}
|
||||
|
||||
//
|
||||
// Accuracy of angle() for very small angles
|
||||
// and when real part is slightly greater than 1.
|
||||
//
|
||||
|
||||
{
|
||||
T t = 10 * Math<T>::sqrt (s);
|
||||
|
||||
Quat<T> q;
|
||||
q.setAxisAngle (Vec3<T> (0, 0, 1), t);
|
||||
Vec3<T> v = q.axis();
|
||||
T a = q.angle();
|
||||
assert (v.equalWithAbsError (Vec3<T> (0, 0, 1), e));
|
||||
assert (IMATH_INTERNAL_NAMESPACE::equal (a, t, t * e));
|
||||
|
||||
q.r *= 1.1;
|
||||
q.v *= 1.1;
|
||||
v = q.axis();
|
||||
a = q.angle();
|
||||
assert (v.equalWithAbsError (Vec3<T> (0, 0, 1), e));
|
||||
assert (IMATH_INTERNAL_NAMESPACE::equal (a, t, t * e));
|
||||
}
|
||||
|
||||
{
|
||||
T t = 0.001 * Math<T>::sqrt (s);
|
||||
|
||||
Quat<T> q;
|
||||
q.setAxisAngle (Vec3<T> (0, 0, 1), t);
|
||||
Vec3<T> v = q.axis();
|
||||
T a = q.angle();
|
||||
assert (v.equalWithAbsError (Vec3<T> (0, 0, 1), e));
|
||||
assert (IMATH_INTERNAL_NAMESPACE::equal (a, t, t * e));
|
||||
|
||||
q.r *= 1.1;
|
||||
q.v *= 1.1;
|
||||
v = q.axis();
|
||||
a = q.angle();
|
||||
assert (v.equalWithAbsError (Vec3<T> (0, 0, 1), e));
|
||||
assert (IMATH_INTERNAL_NAMESPACE::equal (a, t, t * e));
|
||||
}
|
||||
|
||||
//
|
||||
// toMatrix33(), toMatrix44()
|
||||
//
|
||||
|
||||
{
|
||||
Quat<T> q;
|
||||
q.setRotation (Vec3<T> (1, 0, 0), Vec3<T> (0, 1, 0));
|
||||
|
||||
Matrix33<T> m1 = q.toMatrix33();
|
||||
|
||||
assert (m1.equalWithAbsError (Matrix33<T> (0, 1, 0,
|
||||
-1, 0, 0,
|
||||
0, 0, 1),
|
||||
e));
|
||||
|
||||
Matrix44<T> m2 = q.toMatrix44();
|
||||
|
||||
assert (m2.equalWithAbsError (Matrix44<T> (0, 1, 0, 0,
|
||||
-1, 0, 0, 0,
|
||||
0, 0, 1, 0,
|
||||
0, 0, 0, 1),
|
||||
e));
|
||||
}
|
||||
|
||||
//
|
||||
// +, - (unary and binary), ~ *, /, ^
|
||||
//
|
||||
|
||||
assert (Quat<T> (1, 2, 3, 4) + Quat<T> (5, 6, 7, 8) ==
|
||||
Quat<T> (6, 8, 10, 12));
|
||||
|
||||
assert (Quat<T> (-1, -2, -3, -4) - Quat<T> (5, 6, 7, 8) ==
|
||||
Quat<T> (-6, -8, -10, -12));
|
||||
|
||||
assert (-Quat<T> (1, 2, 3, 4) == Quat<T> (-1, -2, -3, -4));
|
||||
|
||||
assert (~Quat<T> (1, 2, 3, 4) == Quat<T> (1, -2, -3, -4));
|
||||
|
||||
assert (T (2) * Quat<T> (1, 2, 3, 4) == Quat<T> (2, 4, 6, 8));
|
||||
|
||||
assert (Quat<T> (1, 2, 3, 4) * T (2 )== Quat<T> (2, 4, 6, 8));
|
||||
|
||||
assert (Quat<T> (1, 0, 0, 1) * Quat<T> (1, 1, 0, 0) ==
|
||||
Quat<T> (1, 1, 1, 1));
|
||||
|
||||
assert (Quat<T> (1, 1, 0, 0) * Quat<T> (1, 0, 0, 1) ==
|
||||
Quat<T> (1, 1, -1, 1));
|
||||
|
||||
assert (Quat<T> (1, 0, 0, 1) / Quat<T> (0.5, -0.5, 0, 0) ==
|
||||
Quat<T> (1, 1, 1, 1));
|
||||
|
||||
assert (Quat<T> (2, 4, 6, 8) / T (2) == Quat<T> (1, 2, 3, 4));
|
||||
|
||||
assert ((Quat<T> (1, 2, 3, 4) ^ Quat<T> (2, 2, 2, 2)) == 20);
|
||||
|
||||
//
|
||||
// extract()
|
||||
//
|
||||
|
||||
{
|
||||
Vec3<T> vFrom (1, 0, 0);
|
||||
Vec3<T> vTo (0, 1, 1);
|
||||
Matrix44<T> m1 = rotationMatrix (vFrom, vTo);
|
||||
|
||||
Quat<T> q = extractQuat (m1);;
|
||||
|
||||
Matrix44<T> m2 = q.toMatrix44();
|
||||
|
||||
assert (m2.equalWithAbsError (m1, 2 * e));
|
||||
}
|
||||
}
|
||||
|
||||
|
||||
void
|
||||
testQuatConversions ()
|
||||
{
|
||||
{
|
||||
Quatf q (1, V3f (2, 3, 4));
|
||||
Quatd q1 = Quatd (q);
|
||||
assert (q1.r == 1 && q1.v == V3d (2, 3, 4));
|
||||
}
|
||||
|
||||
{
|
||||
Quatd q (1, V3d (2, 3, 4));
|
||||
Quatf q1 = Quatf (q);
|
||||
assert (q1.r == 1 && q1.v == V3f (2, 3, 4));
|
||||
}
|
||||
}
|
||||
|
||||
} // namespace
|
||||
|
||||
|
||||
void
|
||||
testQuat ()
|
||||
{
|
||||
cout << "Testing basic quaternion operations" << endl;
|
||||
|
||||
testQuatT<float>();
|
||||
testQuatT<double>();
|
||||
testQuatConversions();
|
||||
|
||||
cout << "ok\n" << endl;
|
||||
}
|
Reference in New Issue
Block a user