void cCamera::update(const double dt) {
if (angle.x > 360.0f) angle.x -= 360.0f;
else if (angle.x < 0.0f)angle.x += 360.0f;
if (angle.y > 360.0f) angle.y -= 360.0f;
else if (angle.y < 0.0f)angle.y += 360.0f;
rot =
quat4(DEG2RAD(angle.x), vec3(0.0f, 0.0f, 1.0f)) *
quat4(DEG2RAD(angle.y), vec3(0.0f, 1.0f, 0.0f));
mat = mat4(rot);
position += velocity * rot;
velocity *= vec3(0.9f);
}
void llquat_test_object_t::test<9>()
{
//test case for LLQuaternion operator*(const LLQuaternion &a, const LLQuaternion &b) fn
LLQuaternion quat1(1.0f, 2.5f, 3.5f, 5.5f);
LLQuaternion quat2(4.0f, 3.0f, 5.0f, 1.0f);
LLQuaternion result = quat1 * quat2;
ensure("1. LLQuaternion Operator* failed", (21.0f == result.mQ[0]) &&
(10.0f == result.mQ[1]) &&
(38.0f == result.mQ[2]) &&
(-23.5f == result.mQ[3]));
LLQuaternion quat3(2341.340f, 2352.345f, 233.25f, 7645.5f);
LLQuaternion quat4(674.067f, 893.0897f, 578.0f, 231.0f);
result = quat3 * quat4;
ensure("2. LLQuaternion Operator* failed", (4543086.5f == result.mQ[0]) &&
(8567578.0f == result.mQ[1]) &&
(3967591.25f == result.mQ[2]) &&
is_approx_equal(-2047783.25f, result.mQ[3]));
//inline LLQuaternion operator+(const LLQuaternion &a, const LLQuaternion &b)fn.
result = quat1 + quat2;
ensure("3. LLQuaternion operator+ failed", (5.0f == result.mQ[0]) &&
(5.5f == result.mQ[1]) &&
(8.5f == result.mQ[2]) &&
(6.5f == result.mQ[3]));
result = quat3 + quat4;
ensure(
"4. LLQuaternion operator+ failed",
is_approx_equal(3015.407227f, result.mQ[0]) &&
is_approx_equal(3245.434570f, result.mQ[1]) &&
(811.25f == result.mQ[2]) &&
(7876.5f == result.mQ[3]));
//inline LLQuaternion operator-(const LLQuaternion &a, const LLQuaternion &b) fn
result = quat1 - quat2;
ensure(
"5. LLQuaternion operator-(const LLQuaternion &a, const LLQuaternion &b) failed",
(-3.0f == result.mQ[0]) &&
(-0.5f == result.mQ[1]) &&
(-1.5f == result.mQ[2]) &&
(4.5f == result.mQ[3]));
result = quat3 - quat4;
ensure(
"6. LLQuaternion operator-(const LLQuaternion &a, const LLQuaternion &b) failed",
is_approx_equal(1667.273071f, result.mQ[0]) &&
is_approx_equal(1459.255249f, result.mQ[1]) &&
(-344.75f == result.mQ[2]) &&
(7414.50f == result.mQ[3]));
}
bool
TestQuaternion( )
{
bool ok = true;
cout << "Testing Quaternion" << endl;
cout << "Quaternion( ) [default constructor]" << endl;
QuaternionF quat0;
float w = 3.f;
float x = 0.f;
float y = 4.f;
float z = 0.f;
cout << "Set( " << w << ", " << x << ", " << y << ", " << z << " )" << endl;
quat0.Set( w, x, y, z );
TESTCHECK( quat0.W(), w, &ok );
TESTCHECK( quat0.X(), x, &ok );
TESTCHECK( quat0.Y(), y, &ok );
TESTCHECK( quat0.Z(), z, &ok );
TESTCHECK( quat0[0], w, &ok );
TESTCHECK( quat0[1], x, &ok );
TESTCHECK( quat0[2], y, &ok );
TESTCHECK( quat0[3], z, &ok );
TESTCHECK( quat0.At( 0 ), w, &ok );
TESTCHECK( quat0.At( 1 ), x, &ok );
TESTCHECK( quat0.At( 2 ), y, &ok );
TESTCHECK( quat0.At( 3 ), z, &ok );
try
{
TESTCHECK( quat0.At(4), 0.f, &ok );
cout << "At(4) should have thrown an exception." << endl;
ok = false;
}
catch( out_of_range & exceptn )
{
cout << "Exception here is OK" << endl;
cout << exceptn.what() << endl;
}
cout << "quat0.Array()" << endl;
const float * pF = quat0.Array();
TESTCHECK( pF[0], w, &ok );
TESTCHECK( pF[1], x, &ok );
TESTCHECK( pF[2], y, &ok );
TESTCHECK( pF[3], z, &ok );
TESTCHECK( quat0.Real(), w, &ok );
TESTCHECK( quat0.Imaginary().X(), x, &ok );
TESTCHECK( quat0.Imaginary().Y(), y, &ok );
TESTCHECK( quat0.Imaginary().Z(), z, &ok );
cout << "Conjugate( )" << endl;
QuaternionF quat1 = quat0.Conjugate( );
TESTCHECK( quat1.W(), w, &ok );
TESTCHECK( quat1.X(), -x, &ok );
TESTCHECK( quat1.Y(), -y, &ok );
TESTCHECK( quat1.Z(), -z, &ok );
TESTCHECK( quat0.Length(), 5.f, &ok );
TESTCHECK( quat0.Norm(), 25.f, &ok );
TESTCHECK( quat1.Length(), 5.f, &ok );
TESTCHECK( quat1.Norm(), 25.f, &ok );
TESTCHECK( (quat0 + quat1).W(), 6.f, &ok );
TESTCHECK( (quat0 + quat1).X(), 0.f, &ok );
TESTCHECK( (quat0 + quat1).Y(), 0.f, &ok );
TESTCHECK( (quat0 + quat1).Z(), 0.f, &ok );
ostringstream ost;
cout << "operator<<" << endl;
ost << quat0;
TESTCHECK( ost.str(), string( "( 3, 0, 4, 0 )" ), &ok );
TESTCHECK( ToJSON( quat0 ),
string( "[ +3.00000e+00, +0.00000e+00, +4.00000e+00,"
" +0.00000e+00 ]" ),
&ok );
FromJSON( "[ 3, 0, -4.0, 0. ]", &quat1 );
TESTCHECK( quat1.W(), w, &ok );
TESTCHECK( quat1.X(), -x, &ok );
TESTCHECK( quat1.Y(), -y, &ok );
TESTCHECK( quat1.Z(), -z, &ok );
cout << "Normalize( )" << endl;
quat1.Normalize( );
TESTCHECKF( quat1.W(), 0.6f, &ok );
TESTCHECKF( quat1.X(), 0.f, &ok );
TESTCHECKF( quat1.Y(), -0.8f, &ok );
TESTCHECKF( quat1.Z(), 0.f, &ok );
TESTCHECKF( quat1.Norm(), 1.f, &ok );
cout << "Inverse( )" << endl;
quat1 = quat0.Inverse( );
TESTCHECKF( quat1.W(), 0.12f, &ok );
TESTCHECKF( quat1.X(), 0.f, &ok );
TESTCHECKF( quat1.Y(), -0.16f, &ok );
TESTCHECKF( quat1.Z(), 0.f, &ok );
TESTCHECKF( (quat0 * quat1).W(), 1.f, &ok );
TESTCHECKF( (quat0 * quat1).X(), 0.f, &ok );
TESTCHECKF( (quat0 * quat1).Y(), 0.f, &ok );
TESTCHECKF( (quat0 * quat1).Z(), 0.f, &ok );
float coords[4] = { 0.5f, 0.5f, 0.5f, 0.5f };
cout << "QuaternionF( coords ) [array constructor]" << endl;
QuaternionF quat2( coords );
TESTCHECKF( quat2.W(), 0.5f, &ok );
TESTCHECKF( quat2.X(), 0.5f, &ok );
TESTCHECKF( quat2.Y(), 0.5f, &ok );
TESTCHECKF( quat2.Z(), 0.5f, &ok );
TESTCHECKF( quat2.Norm(), 1.f, &ok );
cout << "Normalize( )" << endl;
quat2.Normalize( );
TESTCHECKF( quat2.W(), 0.5f, &ok );
TESTCHECKF( quat2.X(), 0.5f, &ok );
TESTCHECKF( quat2.Y(), 0.5f, &ok );
TESTCHECKF( quat2.Z(), 0.5f, &ok );
TESTCHECKF( quat2.Norm(), 1.f, &ok );
cout << "Conjugate( )" << endl;
quat1 = quat2.Conjugate( );
TESTCHECKF( quat1.W(), 0.5f, &ok );
TESTCHECKF( quat1.X(), -0.5f, &ok );
TESTCHECKF( quat1.Y(), -0.5f, &ok );
TESTCHECKF( quat1.Z(), -0.5f, &ok );
TESTCHECKF( quat1.Norm(), 1.f, &ok );
TESTCHECKF( (quat1 + quat2).W(), 1.f, &ok );
TESTCHECKF( (quat1 + quat2).X(), 0.f, &ok );
TESTCHECKF( (quat1 + quat2).Y(), 0.f, &ok );
TESTCHECKF( (quat1 + quat2).Z(), 0.f, &ok );
TESTCHECKF( (quat1 - quat2).W(), 0.f, &ok );
TESTCHECKF( (quat1 - quat2).X(), -1.f, &ok );
TESTCHECKF( (quat1 - quat2).Y(), -1.f, &ok );
TESTCHECKF( (quat1 - quat2).Z(), -1.f, &ok );
TESTCHECKF( (quat1 * quat2).W(), 1.f, &ok );
TESTCHECKF( (quat1 * quat2).X(), 0.f, &ok );
TESTCHECKF( (quat1 * quat2).Y(), 0.f, &ok );
TESTCHECKF( (quat1 * quat2).Z(), 0.f, &ok );
cout << "Inverse( )" << endl;
quat1 = quat2.Inverse( );
TESTCHECKF( quat1.W(), 0.5f, &ok );
TESTCHECKF( quat1.X(), -0.5f, &ok );
TESTCHECKF( quat1.Y(), -0.5f, &ok );
TESTCHECKF( quat1.Z(), -0.5f, &ok );
TESTCHECKF( quat1.Norm(), 1.f, &ok );
double a = M_PI / 2.;
cout << "QuaternionF( AxisAngle( Vector3F::UnitZ, Angle( " << a
<< " ) ) ) [axis-angle constructor]" << endl;
QuaternionF quat3( AxisAngleF( Vector3F::UnitZ, Angle( a ) ) );
TESTCHECKF( quat3.W(), sqrt( 0.5f ), &ok );
TESTCHECKF( quat3.X(), 0.f, &ok );
TESTCHECKF( quat3.Y(), 0.f, &ok );
TESTCHECKF( quat3.Z(), sqrt( 0.5f ), &ok );
TESTCHECKF( quat3.Norm(), 1.f, &ok );
cout << "GetAxisAngle( )" << endl;
AxisAngleF axisAngle = quat3.GetAxisAngle( );
TESTCHECKF( axisAngle.Axis().X(), 0.f, &ok );
TESTCHECKF( axisAngle.Axis().Y(), 0.f, &ok );
TESTCHECKF( axisAngle.Axis().Z(), 1.f, &ok );
TESTCHECKF( axisAngle.GetAngle().Radians(), M_PI / 2., &ok );
cout << "Set( 2, a )" << endl;
quat1.Set( 2, a );
TESTCHECKF( quat1.W(), sqrt( 0.5f ), &ok );
TESTCHECKF( quat1.X(), 0.f, &ok );
TESTCHECKF( quat1.Y(), 0.f, &ok );
TESTCHECKF( quat1.Z(), sqrt( 0.5f ), &ok );
TESTCHECKF( quat1.Norm(), 1.f, &ok );
cout << "Log()" << endl;
quat1 = quat3.Log( );
TESTCHECKF( quat1.W(), 0.f, &ok );
TESTCHECKF( quat1.X(), 0.f, &ok );
TESTCHECKF( quat1.Y(), 0.f, &ok );
TESTCHECKF( quat1.Z(), M_PI / 4.f, &ok );
cout << "SetW( 1. )" << endl;
quat1.SetW( 1.f );
cout << "Exp()" << endl;
quat1 = quat1.Exp( );
TESTCHECKF( quat1.W(), exp( 1.f ) * sqrt( 0.5f ), &ok );
TESTCHECKF( quat1.X(), 0.f, &ok );
TESTCHECKF( quat1.Y(), 0.f, &ok );
TESTCHECKF( quat1.Z(), exp( 1.f ) * sqrt( 0.5f ), &ok );
TESTCHECK( (quat1 == quat3), false, &ok );
cout << "Log()" << endl;
quat1 = quat1.Log( );
TESTCHECKF( quat1.W(), 1.f, &ok );
TESTCHECKF( quat1.X(), 0.f, &ok );
TESTCHECKF( quat1.Y(), 0.f, &ok );
TESTCHECKF( quat1.Z(), M_PI / 4.f, &ok );
a = 2. * M_PI / 3.;
float f = static_cast<float>( sqrt( 1./3. ) );
cout << "RotationMatrix3F( AxisAngleF( Vector3F( " << f << ", " << f
<< ", " << f << "), Angle( " << a << " ) ) )" << endl;
axisAngle.Set( Vector3F( f, f, f ), Angle( a ) );
RotationMatrix3F mat0( axisAngle );
cout << "QuaternionF( mat0 ) [rotation matrix constructor]" << endl;
QuaternionF quat4( mat0 );
TESTCHECKF( quat4.W(), quat2.W(), &ok );
TESTCHECKF( quat4.X(), quat2.X(), &ok );
TESTCHECKF( quat4.Y(), quat2.Y(), &ok );
TESTCHECKF( quat4.Z(), quat2.Z(), &ok );
TESTCHECKF( quat4.Norm(), 1.f, &ok );
cout << "GetAxisAngle( )" << endl;
axisAngle = quat4.GetAxisAngle( );
TESTCHECKF( axisAngle.Axis().X(), f, &ok );
TESTCHECKF( axisAngle.Axis().Y(), f, &ok );
TESTCHECKF( axisAngle.Axis().Z(), f, &ok );
TESTCHECKF( axisAngle.GetAngle().Radians(), a, &ok );
cout << "Matrix( )" << endl;
RotationMatrix3F mat1 = quat4.Matrix( );
TESTCHECKF( mat1(0,0), mat0(0,0), &ok );
TESTCHECKF( mat1(0,1), mat0(0,1), &ok );
TESTCHECKF( mat1(0,2), mat0(0,2), &ok );
TESTCHECKF( mat1(1,0), mat0(1,0), &ok );
TESTCHECKF( mat1(1,1), mat0(1,1), &ok );
TESTCHECKF( mat1(1,2), mat0(1,2), &ok );
TESTCHECKF( mat1(2,0), mat0(2,0), &ok );
TESTCHECKF( mat1(2,1), mat0(2,1), &ok );
TESTCHECKF( mat1(2,2), mat0(2,2), &ok );
cout << "(quat4 * Quaternion( Vector3F::UnitX )"
<< "* quat4.Conjugate()).Imaginary() [rotation]" << endl;
Vector3F vec1 = (quat4 * QuaternionF( Vector3F::UnitX )
* quat4.Conjugate()).Imaginary();
TESTCHECKF( vec1.X(), 0.f, &ok );
TESTCHECKF( vec1.Y(), 1.f, &ok );
TESTCHECKF( vec1.Z(), 0.f, &ok );
cout << "Rotate( Vector3F::UnitX )" << endl;
vec1 = quat4.Rotate( Vector3F::UnitX );
TESTCHECKF( vec1.X(), 0.f, &ok );
TESTCHECKF( vec1.Y(), 1.f, &ok );
TESTCHECKF( vec1.Z(), 0.f, &ok );
float a0 = -2.9f;
float a1 = 1.8f;
float a2 = -0.7f;
cout << "Quaternion qrot0( 0, " << a0 << " )" << endl;
QuaternionF qrot0( 0, Angle( a0 ) );
cout << "Quaternion qrot1( 1, " << a1 << " )" << endl;
QuaternionF qrot1( 1, Angle( a1 ) );
cout << "Quaternion qrot2( 2, " << a2 << " )" << endl;
QuaternionF qrot2( 2, Angle( a2 ) );
cout << "quat1 = qrot1 * qrot2 * qrot0" << endl;
quat1 = qrot1 * qrot2 * qrot0;
cout << "GetEulerAngles( EulerAngles::YZX )" << endl;
EulerAngles euler = quat1.GetEulerAngles( EulerAngles::YZX );
TESTCHECKF( euler[0].Radians(), a1, &ok );
TESTCHECKF( euler[1].Radians(), a2, &ok );
TESTCHECKF( euler[2].Radians(), a0, &ok );
cout << "Quaternion( EulerAngles( " << a1 << ", " << a2 << ", " << a0
<< " ), EulerAngles::YZX ) [Euler angles constructor]" << endl;
QuaternionF quat5( EulerAngles( a1, a2, a0 ), EulerAngles::YZX );
TESTCHECKF( quat5.W(), quat1.W(), &ok );
TESTCHECKF( quat5.X(), quat1.X(), &ok );
TESTCHECKF( quat5.Y(), quat1.Y(), &ok );
TESTCHECKF( quat5.Z(), quat1.Z(), &ok );
cout << "GetEulerAngles( EulerAngles::YZX )" << endl;
euler = quat5.GetEulerAngles( EulerAngles::YZX );
TESTCHECKF( euler[0].Radians(), a1, &ok );
TESTCHECKF( euler[1].Radians(), a2, &ok );
TESTCHECKF( euler[2].Radians(), a0, &ok );
a2 = static_cast<float>( - M_PI / 2. );
cout << "qrot2.Set( 2, " << a2 << " )" << endl;
qrot2.Set( 2, Angle( a2 ) );
cout << "quat1 = qrot1 * qrot2 * qrot0" << endl;
quat1 = qrot1 * qrot2 * qrot0;
cout << "GetEulerAngles( EulerAngles::YZX )" << endl;
euler = quat1.GetEulerAngles( EulerAngles::YZX );
Angle a10( a1 - a0 );
a10.Normalize();
float a1_a0 = static_cast<float>( a10.Radians() );
TESTCHECKF( euler[0].Radians(), a1_a0, &ok );
TESTCHECKF( euler[1].Radians(), a2, &ok );
TESTCHECKF( euler[2].Radians(), 0.f, &ok );
cout << "Matrix().GetEulerAngles( EulerAngles::YZX )" << endl;
euler = quat1.Matrix().GetEulerAngles( EulerAngles::YZX );
TESTCHECKF( euler[0].Radians(), a1_a0, &ok );
TESTCHECKF( euler[1].Radians(), a2, &ok );
TESTCHECKF( euler[2].Radians(), 0.f, &ok );
cout << "Set( EulerAngles( " << a1 << ", " << a2 << ", " << a0
<< " ), EulerAngles::YZX )" << endl;
quat5.Set( EulerAngles( a1, a2, a0 ), EulerAngles::YZX );
TESTCHECKF( quat5.W(), quat1.W(), &ok );
TESTCHECKF( quat5.X(), quat1.X(), &ok );
TESTCHECKF( quat5.Y(), quat1.Y(), &ok );
TESTCHECKF( quat5.Z(), quat1.Z(), &ok );
cout << "GetEulerAngles( EulerAngles::YZX )" << endl;
euler = quat5.GetEulerAngles( EulerAngles::YZX );
TESTCHECKF( euler[0].Radians(), a1_a0, &ok );
TESTCHECKF( euler[1].Radians(), a2, &ok );
TESTCHECKF( euler[2].Radians(), 0.f, &ok );
a0 = 1.1f;
a1 = -1.0f;
a2 = 0.5f;
cout << "qrot0.Set( 0, " << a0 << " )" << endl;
qrot0.Set( 0, Angle( a0 ) );
cout << "qrot1.Set( 1, " << a1 << " )" << endl;
qrot1.Set( 1, Angle( a1 ) );
cout << "qrot2.Set( 2, " << a2 << " )" << endl;
qrot2.Set( 2, Angle( a2 ) );
cout << "quat1 = qrot2 * qrot1 * qrot0" << endl;
quat1 = qrot2 * qrot1 * qrot0;
cout << "GetEulerAngles( EulerAngles::ZYX )" << endl;
euler = quat1.GetEulerAngles( EulerAngles::ZYX );
TESTCHECKF( euler[0].Radians(), a2, &ok );
TESTCHECKF( euler[1].Radians(), a1, &ok );
TESTCHECKF( euler[2].Radians(), a0, &ok );
cout << "Matrix().GetEulerAngles( EulerAngles::ZYX )" << endl;
euler = quat1.Matrix().GetEulerAngles( EulerAngles::ZYX );
TESTCHECKF( euler[0].Radians(), a2, &ok );
TESTCHECKF( euler[1].Radians(), a1, &ok );
TESTCHECKF( euler[2].Radians(), a0, &ok );
cout << "Set( EulerAngles( " << a2 << ", " << a1 << ", " << a0
<< " ), EulerAngles::ZYX )" << endl;
quat5.Set( EulerAngles( a2, a1, a0 ), EulerAngles::ZYX );
TESTCHECKF( quat5.W(), quat1.W(), &ok );
TESTCHECKF( quat5.X(), quat1.X(), &ok );
TESTCHECKF( quat5.Y(), quat1.Y(), &ok );
TESTCHECKF( quat5.Z(), quat1.Z(), &ok );
cout << "GetEulerAngles( EulerAngles::ZYX )" << endl;
euler = quat5.GetEulerAngles( EulerAngles::ZYX );
TESTCHECKF( euler[0].Radians(), a2, &ok );
TESTCHECKF( euler[1].Radians(), a1, &ok );
TESTCHECKF( euler[2].Radians(), a0, &ok );
a1 = static_cast<float>( M_PI / 2. );
cout << "qrot1.Set( 1, " << a1 << " )" << endl;
qrot1.Set( 1, Angle( a1 ) );
cout << "quat1 = qrot2 * qrot1 * qrot0" << endl;
quat1 = qrot2 * qrot1 * qrot0;
cout << "GetEulerAngles( EulerAngles::ZYX )" << endl;
euler = quat1.GetEulerAngles( EulerAngles::ZYX );
Angle a20 = Angle( a2 - a0 );
a20.Normalize();
float a2_a0 = static_cast<float>( a20.Radians() );
TESTCHECKF( euler[0].Radians(), a2_a0, &ok );
TESTCHECKF( euler[1].Radians(), a1, &ok );
TESTCHECKF( euler[2].Radians(), 0.f, &ok );
cout << "Set( EulerAngles( " << a2 << ", " << a1 << ", " << a0
<< " ), EulerAngles::ZYX )" << endl;
quat5.Set( EulerAngles( a2, a1, a0 ), EulerAngles::ZYX );
TESTCHECKF( quat5.W(), quat1.W(), &ok );
TESTCHECKF( quat5.X(), quat1.X(), &ok );
TESTCHECKF( quat5.Y(), quat1.Y(), &ok );
TESTCHECKF( quat5.Z(), quat1.Z(), &ok );
cout << "GetEulerAngles( EulerAngles::ZYX )" << endl;
euler = quat5.GetEulerAngles( EulerAngles::ZYX );
TESTCHECKF( euler[0].Radians(), a2_a0, &ok );
TESTCHECKF( euler[1].Radians(), a1, &ok );
TESTCHECKF( euler[2].Radians(), 0.f, &ok );
if ( ok )
cout << "Quaternion PASSED." << endl << endl;
else
cout << "Quaternion FAILED." << endl << endl;
return ok;
}
