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testInvert.cpp

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//
// Copyright (c) 2002, Industrial Light & Magic, a division of Lucas
// Digital Ltd. LLC
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#include <testInvert.h>
#include <ImathMatrix.h>
#include <ImathMatrixAlgo.h>
#include <iostream>
#include <assert.h>

using namespace std;
using namespace Imath;

namespace {


void
invertM44f (const M44f &m, float e)
{
    M44f inv1 = m.inverse();
    M44f inv2 = m.gjInverse();
    M44f ident1 = m * inv1;
    M44f ident2 = m * inv2;

    //cout << "m\n" << m << endl;
    //cout << "inv1\n" << inv1 << "ident1\n" << ident1 << endl;
    //cout << "inv2\n" << inv2 << "ident2\n" << ident2 << endl;

    assert (ident1.equalWithAbsError (identity44f, e));
    assert (ident2.equalWithAbsError (identity44f, e));
}


void
invertM33f (const M33f &m, float e)
{
    M33f inv1 = m.inverse();
    M33f inv2 = m.gjInverse();
    M33f ident1 = m * inv1;
    M33f ident2 = m * inv2;

    //cout << "m\n" << m << endl;
    //cout << "inv1\n" << inv1 << "ident1\n" << ident1 << endl;
    //cout << "inv2\n" << inv2 << "ident2\n" << ident2 << endl;

    assert (ident1.equalWithAbsError (identity33f, e));
    assert (ident2.equalWithAbsError (identity33f, e));
}


} // namespace


void
testInvert ()
{
    cout << "Testing 4x4 and 3x3 matrix inversion:" << endl;

    {
      cout << "M44f" << endl;

      M44f m1 ( 1,  0,  0,  0,
              0,  1,  0,  0,
              0,  0,  1,  0,
              0,  0,  0,  1);

      M44f m2 ( 0,  1,  0,  0,
             -1,  0,  0,  0,
              0,  0,  1,  0,
              0,  0,  0,  1);

      M44f m3 ( 1,  0,  0,  0,
              0,  2,  0,  0,
              0,  0,  0, -1,
              0,  0,  1,  0);

      M44f m4 ( 4.683281e-01, -8.749647e-01,  1.229049e-01,  0.000000e+00,
              1.251189e-02,  1.456563e-01,  9.892561e-01,  0.000000e+00,
             -8.834660e-01, -4.617587e-01,  7.916244e-02,  0.000000e+00,
             -4.726541e+00,  3.044795e+00, -6.737138e+00,  1.000000e+00);

      M44f m5 ( 4.683281e-01, -8.749647e-01,  1.229049e-01,  1.000000e+00,
              1.251189e-02,  1.456563e-01,  9.892561e-01,  2.000000e+00,
             -8.834660e-01, -4.617587e-01,  7.916244e-02,  3.000000e+00,
             -4.726541e+00,  3.044795e+00, -6.737138e+00,  4.000000e+00);

      invertM44f (m1, 0);
      invertM44f (m2, 0);
      invertM44f (m3, 0);
      invertM44f (m4, 1e-6);
      invertM44f (m5, 1e-6);
    }

    {
      cout << "M33f" << endl;

      M33f m1 ( 1,  0,  0,
              0,  1,  0,
              0,  0,  1);

      M33f m2 ( 0,  1,  0,
             -1,  0,  0,
              0,  0,  1);

      M33f m3 ( 2,  0,  0,
              0,  0, -1,
              0,  1,  0);

      M33f m4 ( 4.683281e-01, -8.749647e-01,  0.000000e+00,
              1.251189e-02,  1.456563e-01,  0.000000e+00,
              0.000000e+00,  0.000000e+00,  1.000000e+00);

      M33f m5 ( 4.683281e-01, -8.749647e-01,  1.229049e-01,
              1.251189e-02,  1.456563e-01,  9.892561e-01,
             -8.834660e-01, -4.617587e-01,  7.916244e-02);

      invertM33f (m1, 0);
      invertM33f (m2, 0);
      invertM33f (m3, 0);
      invertM33f (m4, 1e-6);
      invertM33f (m5, 1e-6);
    }

    cout << "ok\n" << endl;
}

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