Blame ImathTest/testInvert.cpp

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///////////////////////////////////////////////////////////////////////////
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//
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// Copyright (c) 2002, 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 <testInvert.h>
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#include "ImathMatrix.h"
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#include "ImathMatrixAlgo.h"
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#include <iostream>
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#include <assert.h>
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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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void
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invertM44f (const M44f &m, float e)
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{
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    M44f inv1 = m.inverse();
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    M44f inv2 = m.gjInverse();
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    M44f ident1 = m * inv1;
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    M44f ident2 = m * inv2;
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    //cout << "m\n" << m << endl;
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    //cout << "inv1\n" << inv1 << "ident1\n" << ident1 << endl;
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    //cout << "inv2\n" << inv2 << "ident2\n" << ident2 << endl;
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    assert (ident1.equalWithAbsError (identity44f, e));
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    assert (ident2.equalWithAbsError (identity44f, e));
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}
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void
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invertM33f (const M33f &m, float e)
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{
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    M33f inv1 = m.inverse();
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    M33f inv2 = m.gjInverse();
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    M33f ident1 = m * inv1;
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    M33f ident2 = m * inv2;
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    //cout << "m\n" << m << endl;
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    //cout << "inv1\n" << inv1 << "ident1\n" << ident1 << endl;
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    //cout << "inv2\n" << inv2 << "ident2\n" << ident2 << endl;
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    assert (ident1.equalWithAbsError (identity33f, e));
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    assert (ident2.equalWithAbsError (identity33f, e));
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}
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} // namespace
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void
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testInvert ()
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{
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    cout << "Testing 4x4 and 3x3 matrix inversion:" << endl;
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    {
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	cout << "M44f" << endl;
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	M44f m1 ( 1,  0,  0,  0,
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		  0,  1,  0,  0,
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		  0,  0,  1,  0,
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		  0,  0,  0,  1);
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	M44f m2 ( 0,  1,  0,  0,
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		 -1,  0,  0,  0,
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		  0,  0,  1,  0,
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		  0,  0,  0,  1);
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	M44f m3 ( 1,  0,  0,  0,
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		  0,  2,  0,  0,
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		  0,  0,  0, -1,
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		  0,  0,  1,  0);
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	M44f m4 ( 4.683281e-01, -8.749647e-01,  1.229049e-01,  0.000000e+00,
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		  1.251189e-02,  1.456563e-01,  9.892561e-01,  0.000000e+00,
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		 -8.834660e-01, -4.617587e-01,  7.916244e-02,  0.000000e+00,
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		 -4.726541e+00,  3.044795e+00, -6.737138e+00,  1.000000e+00);
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	M44f m5 ( 4.683281e-01, -8.749647e-01,  1.229049e-01,  1.000000e+00,
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		  1.251189e-02,  1.456563e-01,  9.892561e-01,  2.000000e+00,
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		 -8.834660e-01, -4.617587e-01,  7.916244e-02,  3.000000e+00,
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		 -4.726541e+00,  3.044795e+00, -6.737138e+00,  4.000000e+00);
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	invertM44f (m1, 0);
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	invertM44f (m2, 0);
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	invertM44f (m3, 0);
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	invertM44f (m4, 1e-6);
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	invertM44f (m5, 1e-6);
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    }
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    {
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	cout << "M33f" << endl;
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	M33f m1 ( 1,  0,  0,
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		  0,  1,  0,
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		  0,  0,  1);
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	M33f m2 ( 0,  1,  0,
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		 -1,  0,  0,
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		  0,  0,  1);
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	M33f m3 ( 2,  0,  0,
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		  0,  0, -1,
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		  0,  1,  0);
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	M33f m4 ( 4.683281e-01, -8.749647e-01,  0.000000e+00,
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		  1.251189e-02,  1.456563e-01,  0.000000e+00,
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		  0.000000e+00,  0.000000e+00,  1.000000e+00);
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	M33f m5 ( 4.683281e-01, -8.749647e-01,  1.229049e-01,
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		  1.251189e-02,  1.456563e-01,  9.892561e-01,
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		 -8.834660e-01, -4.617587e-01,  7.916244e-02);
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	invertM33f (m1, 0);
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	invertM33f (m2, 0);
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	invertM33f (m3, 0);
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	invertM33f (m4, 1e-6);
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	invertM33f (m5, 1e-6);
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    }
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    cout << "ok\n" << endl;
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}