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/*************************************************************************/
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/* test_basis.h */
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/*************************************************************************/
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/* Copyright (c) 2007-2022 Juan Linietsky, Ariel Manzur. */
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# ifndef TEST_BASIS_H
# define TEST_BASIS_H
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# include "core/math/basis.h"
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# include "core/math/random_number_generator.h"
# include "tests/test_macros.h"
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namespace TestBasis {
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enum RotOrder {
EulerXYZ ,
EulerXZY ,
EulerYZX ,
EulerYXZ ,
EulerZXY ,
EulerZYX
} ;
Vector3 deg2rad ( const Vector3 & p_rotation ) {
return p_rotation / 180.0 * Math_PI ;
}
Vector3 rad2deg ( const Vector3 & p_rotation ) {
return p_rotation / Math_PI * 180.0 ;
}
Basis EulerToBasis ( RotOrder mode , const Vector3 & p_rotation ) {
Basis ret ;
switch ( mode ) {
case EulerXYZ :
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ret . set_euler ( p_rotation , Basis : : EULER_ORDER_XYZ ) ;
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break ;
case EulerXZY :
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ret . set_euler ( p_rotation , Basis : : EULER_ORDER_XZY ) ;
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break ;
case EulerYZX :
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ret . set_euler ( p_rotation , Basis : : EULER_ORDER_YZX ) ;
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break ;
case EulerYXZ :
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ret . set_euler ( p_rotation , Basis : : EULER_ORDER_YXZ ) ;
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break ;
case EulerZXY :
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ret . set_euler ( p_rotation , Basis : : EULER_ORDER_ZXY ) ;
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break ;
case EulerZYX :
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ret . set_euler ( p_rotation , Basis : : EULER_ORDER_ZYX ) ;
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break ;
default :
// If you land here, Please integrate all rotation orders.
FAIL ( " This is not unreachable. " ) ;
}
return ret ;
}
Vector3 BasisToEuler ( RotOrder mode , const Basis & p_rotation ) {
switch ( mode ) {
case EulerXYZ :
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return p_rotation . get_euler ( Basis : : EULER_ORDER_XYZ ) ;
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case EulerXZY :
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return p_rotation . get_euler ( Basis : : EULER_ORDER_XZY ) ;
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case EulerYZX :
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return p_rotation . get_euler ( Basis : : EULER_ORDER_YZX ) ;
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case EulerYXZ :
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return p_rotation . get_euler ( Basis : : EULER_ORDER_YXZ ) ;
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case EulerZXY :
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return p_rotation . get_euler ( Basis : : EULER_ORDER_ZXY ) ;
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case EulerZYX :
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return p_rotation . get_euler ( Basis : : EULER_ORDER_ZYX ) ;
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default :
// If you land here, Please integrate all rotation orders.
FAIL ( " This is not unreachable. " ) ;
return Vector3 ( ) ;
}
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}
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String get_rot_order_name ( RotOrder ro ) {
switch ( ro ) {
case EulerXYZ :
return " XYZ " ;
case EulerXZY :
return " XZY " ;
case EulerYZX :
return " YZX " ;
case EulerYXZ :
return " YXZ " ;
case EulerZXY :
return " ZXY " ;
case EulerZYX :
return " ZYX " ;
default :
return " [Not supported] " ;
}
}
void test_rotation ( Vector3 deg_original_euler , RotOrder rot_order ) {
// This test:
// 1. Converts the rotation vector from deg to rad.
// 2. Converts euler to basis.
// 3. Converts the above basis back into euler.
// 4. Converts the above euler into basis again.
// 5. Compares the basis obtained in step 2 with the basis of step 4
//
// The conversion "basis to euler", done in the step 3, may be different from
// the original euler, even if the final rotation are the same.
// This happens because there are more ways to represents the same rotation,
// both valid, using eulers.
// For this reason is necessary to convert that euler back to basis and finally
// compares it.
//
// In this way we can assert that both functions: basis to euler / euler to basis
// are correct.
// Euler to rotation
const Vector3 original_euler = deg2rad ( deg_original_euler ) ;
const Basis to_rotation = EulerToBasis ( rot_order , original_euler ) ;
// Euler from rotation
const Vector3 euler_from_rotation = BasisToEuler ( rot_order , to_rotation ) ;
const Basis rotation_from_computed_euler = EulerToBasis ( rot_order , euler_from_rotation ) ;
Basis res = to_rotation . inverse ( ) * rotation_from_computed_euler ;
CHECK_MESSAGE ( ( res . get_axis ( 0 ) - Vector3 ( 1.0 , 0.0 , 0.0 ) ) . length ( ) < = 0.1 , vformat ( " Fail due to X %s \n " , String ( res . get_axis ( 0 ) ) ) . utf8 ( ) . ptr ( ) ) ;
CHECK_MESSAGE ( ( res . get_axis ( 1 ) - Vector3 ( 0.0 , 1.0 , 0.0 ) ) . length ( ) < = 0.1 , vformat ( " Fail due to Y %s \n " , String ( res . get_axis ( 1 ) ) ) . utf8 ( ) . ptr ( ) ) ;
CHECK_MESSAGE ( ( res . get_axis ( 2 ) - Vector3 ( 0.0 , 0.0 , 1.0 ) ) . length ( ) < = 0.1 , vformat ( " Fail due to Z %s \n " , String ( res . get_axis ( 2 ) ) ) . utf8 ( ) . ptr ( ) ) ;
// Double check `to_rotation` decomposing with XYZ rotation order.
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const Vector3 euler_xyz_from_rotation = to_rotation . get_euler ( Basis : : EULER_ORDER_XYZ ) ;
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Basis rotation_from_xyz_computed_euler ;
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rotation_from_xyz_computed_euler . set_euler ( euler_xyz_from_rotation , Basis : : EULER_ORDER_XYZ ) ;
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res = to_rotation . inverse ( ) * rotation_from_xyz_computed_euler ;
CHECK_MESSAGE ( ( res . get_axis ( 0 ) - Vector3 ( 1.0 , 0.0 , 0.0 ) ) . length ( ) < = 0.1 , vformat ( " Double check with XYZ rot order failed, due to X %s \n " , String ( res . get_axis ( 0 ) ) ) . utf8 ( ) . ptr ( ) ) ;
CHECK_MESSAGE ( ( res . get_axis ( 1 ) - Vector3 ( 0.0 , 1.0 , 0.0 ) ) . length ( ) < = 0.1 , vformat ( " Double check with XYZ rot order failed, due to Y %s \n " , String ( res . get_axis ( 1 ) ) ) . utf8 ( ) . ptr ( ) ) ;
CHECK_MESSAGE ( ( res . get_axis ( 2 ) - Vector3 ( 0.0 , 0.0 , 1.0 ) ) . length ( ) < = 0.1 , vformat ( " Double check with XYZ rot order failed, due to Z %s \n " , String ( res . get_axis ( 2 ) ) ) . utf8 ( ) . ptr ( ) ) ;
INFO ( vformat ( " Rotation order: %s \n . " , get_rot_order_name ( rot_order ) ) . utf8 ( ) . ptr ( ) ) ;
INFO ( vformat ( " Original Rotation: %s \n " , String ( deg_original_euler ) ) . utf8 ( ) . ptr ( ) ) ;
INFO ( vformat ( " Quaternion to rotation order: %s \n " , String ( rad2deg ( euler_from_rotation ) ) ) . utf8 ( ) . ptr ( ) ) ;
}
TEST_CASE ( " [Basis] Euler conversions " ) {
Vector < RotOrder > rotorder_to_test ;
rotorder_to_test . push_back ( EulerXYZ ) ;
rotorder_to_test . push_back ( EulerXZY ) ;
rotorder_to_test . push_back ( EulerYZX ) ;
rotorder_to_test . push_back ( EulerYXZ ) ;
rotorder_to_test . push_back ( EulerZXY ) ;
rotorder_to_test . push_back ( EulerZYX ) ;
Vector < Vector3 > vectors_to_test ;
// Test the special cases.
vectors_to_test . push_back ( Vector3 ( 0.0 , 0.0 , 0.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 0.5 , 0.5 , 0.5 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 0.5 , - 0.5 , - 0.5 ) ) ;
vectors_to_test . push_back ( Vector3 ( 40.0 , 40.0 , 40.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 40.0 , - 40.0 , - 40.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 0.0 , 0.0 , - 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 0.0 , - 90.0 , 0.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 90.0 , 0.0 , 0.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 0.0 , 0.0 , 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 0.0 , 90.0 , 0.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 90.0 , 0.0 , 0.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 0.0 , 0.0 , - 30.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 0.0 , - 30.0 , 0.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 30.0 , 0.0 , 0.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 0.0 , 0.0 , 30.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 0.0 , 30.0 , 0.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 30.0 , 0.0 , 0.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 0.5 , 50.0 , 20.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 0.5 , - 50.0 , - 20.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 0.5 , 0.0 , 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 0.5 , 0.0 , - 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 360.0 , 360.0 , 360.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 360.0 , - 360.0 , - 360.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 90.0 , 60.0 , - 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 90.0 , 60.0 , - 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 90.0 , - 60.0 , - 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 90.0 , - 60.0 , - 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 90.0 , 60.0 , 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 90.0 , 60.0 , 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 90.0 , - 60.0 , 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 90.0 , - 60.0 , 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 60.0 , 90.0 , - 40.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 60.0 , - 90.0 , - 40.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 60.0 , - 90.0 , - 40.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 60.0 , 90.0 , 40.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 60.0 , 90.0 , 40.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 60.0 , - 90.0 , 40.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 60.0 , - 90.0 , 40.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 90.0 , 90.0 , - 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 90.0 , 90.0 , - 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 90.0 , - 90.0 , - 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 90.0 , - 90.0 , - 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 90.0 , 90.0 , 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 90.0 , 90.0 , 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 90.0 , - 90.0 , 90.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 20.0 , 150.0 , 30.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 20.0 , - 150.0 , 30.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 120.0 , - 150.0 , 30.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( - 120.0 , - 150.0 , - 130.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 120.0 , - 150.0 , - 130.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 120.0 , 150.0 , - 130.0 ) ) ;
vectors_to_test . push_back ( Vector3 ( 120.0 , 150.0 , 130.0 ) ) ;
for ( int h = 0 ; h < rotorder_to_test . size ( ) ; h + = 1 ) {
for ( int i = 0 ; i < vectors_to_test . size ( ) ; i + = 1 ) {
test_rotation ( vectors_to_test [ i ] , rotorder_to_test [ h ] ) ;
}
}
}
TEST_CASE ( " [Stress][Basis] Euler conversions " ) {
Vector < RotOrder > rotorder_to_test ;
rotorder_to_test . push_back ( EulerXYZ ) ;
rotorder_to_test . push_back ( EulerXZY ) ;
rotorder_to_test . push_back ( EulerYZX ) ;
rotorder_to_test . push_back ( EulerYXZ ) ;
rotorder_to_test . push_back ( EulerZXY ) ;
rotorder_to_test . push_back ( EulerZYX ) ;
Vector < Vector3 > vectors_to_test ;
// Add 1000 random vectors with weirds numbers.
RandomNumberGenerator rng ;
for ( int _ = 0 ; _ < 1000 ; _ + = 1 ) {
vectors_to_test . push_back ( Vector3 (
rng . randf_range ( - 1800 , 1800 ) ,
rng . randf_range ( - 1800 , 1800 ) ,
rng . randf_range ( - 1800 , 1800 ) ) ) ;
}
for ( int h = 0 ; h < rotorder_to_test . size ( ) ; h + = 1 ) {
for ( int i = 0 ; i < vectors_to_test . size ( ) ; i + = 1 ) {
test_rotation ( vectors_to_test [ i ] , rotorder_to_test [ h ] ) ;
}
}
}
} // namespace TestBasis
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# endif