Fix Gael reports (except documention)

- "Scalar angle(int) const"  should be  "const Vector& angles() const"
- then method "coeffs" could be removed.
- avoid one letter names like h, p, r -> use alpha(), beta(), gamma() ;)
- about the "fromRotation" methods:
 - replace the ones which are not static by operator= (as in Quaternion)
 - the others are actually static methods: use a capital F: FromRotation
- method "invert" should be removed.
- use a macro to define both float and double EulerAnglesXYZ* typedefs
- AddConstIf -> not used
- no needs for NegateIfXor, compilers are extremely good at optimizing away branches based on compile time constants:
  if(IsHeadingOpposite-=IsEven) res.alpha() = -res.alpha();
This commit is contained in:
Tal Hadad 2016-06-02 22:12:57 +03:00
parent c006ecace1
commit 2aaaf22623
4 changed files with 165 additions and 248 deletions

View File

@ -16,13 +16,19 @@
#include "Eigen/src/Core/util/DisableStupidWarnings.h"
namespace Eigen {
/**
* \defgroup EulerAngles_Module EulerAngles module
*
*
*
*
*/
* \defgroup EulerAngles_Module EulerAngles module
* \brief This module provides generic euler angles rotation.
*
* \code
* #include <unsupported/Eigen/EulerAngles>
* \endcode
*
*/
}
#include "src/EulerAngles/EulerSystem.h"
#include "src/EulerAngles/EulerAngles.h"

View File

@ -29,7 +29,7 @@ namespace Eigen
class EulerAngles : public RotationBase<EulerAngles<_Scalar, _System>, 3>
{
public:
/** the scalar type of the coefficients */
/** the scalar type of the angles */
typedef _Scalar Scalar;
typedef _System System;
@ -38,16 +38,19 @@ namespace Eigen
typedef Quaternion<Scalar> QuaternionType;
typedef AngleAxis<Scalar> AngleAxisType;
static Vector3 HeadingAxisVector() {
return internal::NegativeIf<System::IsHeadingOpposite>::run(Vector3::Unit(System::HeadingAxisAbs - 1));
static Vector3 AlphaAxisVector() {
const Vector3& u = Vector3::Unit(System::AlphaAxisAbs - 1);
return System::IsAlphaOpposite ? -u : u;
}
static Vector3 PitchAxisVector() {
return internal::NegativeIf<System::IsPitchOpposite>::run(Vector3::Unit(System::PitchAxisAbs - 1));
static Vector3 BetaAxisVector() {
const Vector3& u = Vector3::Unit(System::BetaAxisAbs - 1);
return System::IsBetaOpposite ? -u : u;
}
static Vector3 RollAxisVector() {
return internal::NegativeIf<System::IsRollOpposite>::run(Vector3::Unit(System::RollAxisAbs - 1));
static Vector3 GammaAxisVector() {
const Vector3& u = Vector3::Unit(System::GammaAxisAbs - 1);
return System::IsGammaOpposite ? -u : u;
}
private:
@ -56,7 +59,7 @@ namespace Eigen
public:
EulerAngles() {}
inline EulerAngles(Scalar a0, Scalar a1, Scalar a2) : m_angles(a0, a1, a2) {}
inline EulerAngles(Scalar alpha, Scalar beta, Scalar gamma) : m_angles(alpha, beta, gamma) {}
template<typename Derived>
inline EulerAngles(const MatrixBase<Derived>& m) { *this = m; }
@ -64,11 +67,11 @@ namespace Eigen
template<typename Derived>
inline EulerAngles(
const MatrixBase<Derived>& m,
bool positiveRangeHeading,
bool positiveRangePitch,
bool positiveRangeRoll) {
bool positiveRangeAlpha,
bool positiveRangeBeta,
bool positiveRangeGamma) {
fromRotation(m, positiveRangeHeading, positiveRangePitch, positiveRangeRoll);
System::CalcEulerAngles(*this, m, positiveRangeAlpha, positiveRangeBeta, positiveRangeGamma);
}
template<typename Derived>
@ -77,35 +80,24 @@ namespace Eigen
template<typename Derived>
inline EulerAngles(
const RotationBase<Derived, 3>& rot,
bool positiveRangeHeading,
bool positiveRangePitch,
bool positiveRangeRoll) {
bool positiveRangeAlpha,
bool positiveRangeBeta,
bool positiveRangeGamma) {
fromRotation(rot, positiveRangeHeading, positiveRangePitch, positiveRangeRoll);
System::CalcEulerAngles(*this, rot.toRotationMatrix(), positiveRangeAlpha, positiveRangeBeta, positiveRangeGamma);
}
Scalar angle(int i) const { return m_angles.coeff(i); }
Scalar& angle(int i) { return m_angles.coeffRef(i); }
const Vector3& angles() const { return m_angles; }
Vector3& angles() { return m_angles; }
const Vector3& coeffs() const { return m_angles; }
Vector3& coeffs() { return m_angles; }
Scalar alpha() const { return m_angles[0]; }
Scalar& alpha() { return m_angles[0]; }
Scalar h() const { return m_angles[0]; }
Scalar& h() { return m_angles[0]; }
Scalar beta() const { return m_angles[1]; }
Scalar& beta() { return m_angles[1]; }
Scalar p() const { return m_angles[1]; }
Scalar& p() { return m_angles[1]; }
Scalar r() const { return m_angles[2]; }
Scalar& r() { return m_angles[2]; }
EulerAngles invert() const
{
//m_angles = -m_angles;// I want to do this but there could be an aliasing issue!
m_angles *= -1;
return *this;
}
Scalar gamma() const { return m_angles[2]; }
Scalar& gamma() { return m_angles[2]; }
EulerAngles inverse() const
{
@ -121,59 +113,26 @@ namespace Eigen
/** Constructs and \returns an equivalent 3x3 rotation matrix.
*/
template<typename Derived>
EulerAngles& fromRotation(const MatrixBase<Derived>& m)
template<
bool PositiveRangeAlpha,
bool PositiveRangeBeta,
bool PositiveRangeGamma,
typename Derived>
static EulerAngles FromRotation(const MatrixBase<Derived>& m)
{
System::eulerAngles(*this, m);
return *this;
EulerAngles e;
System::CalcEulerAngles<PositiveRangeAlpha, PositiveRangeBeta, PositiveRangeGamma>(e, m);
return e;
}
template<
bool PositiveRangeHeading,
bool PositiveRangePitch,
bool PositiveRangeRoll,
bool PositiveRangeAlpha,
bool PositiveRangeBeta,
bool PositiveRangeGamma,
typename Derived>
EulerAngles& fromRotation(const MatrixBase<Derived>& m)
static EulerAngles& FromRotation(const RotationBase<Derived, 3>& rot)
{
System::eulerAngles<PositiveRangeHeading, PositiveRangePitch, PositiveRangeRoll>(*this, m);
return *this;
}
template<typename Derived>
EulerAngles& fromRotation(
const MatrixBase<Derived>& m,
bool positiveRangeHeading,
bool positiveRangePitch,
bool positiveRangeRoll)
{
System::eulerAngles(*this, m, positiveRangeHeading, positiveRangePitch, positiveRangeRoll);
return *this;
}
template<typename Derived>
EulerAngles& fromRotation(const RotationBase<Derived, 3>& rot)
{
return fromRotation(rot.toRotationMatrix());
}
template<
bool PositiveRangeHeading,
bool PositiveRangePitch,
bool PositiveRangeRoll,
typename Derived>
EulerAngles& fromRotation(const RotationBase<Derived, 3>& rot)
{
return fromRotation<PositiveRangeHeading, PositiveRangePitch, PositiveRangeRoll>(rot.toRotationMatrix());
}
template<typename Derived>
EulerAngles& fromRotation(
const RotationBase<Derived, 3>& rot,
bool positiveRangeHeading,
bool positiveRangePitch,
bool positiveRangeRoll)
{
return fromRotation(rot.toRotationMatrix(), positiveRangeHeading, positiveRangePitch, positiveRangeRoll);
return FromRotation<PositiveRangeAlpha, PositiveRangeBeta, PositiveRangeGamma>(rot.toRotationMatrix());
}
/*EulerAngles& fromQuaternion(const QuaternionType& q)
@ -193,8 +152,9 @@ namespace Eigen
/** Set \c *this from a rotation matrix(i.e. pure orthogonal matrix with determinent of +1).
*/
template<typename Derived>
EulerAngles& operator=(const MatrixBase<Derived>& mat) {
return fromRotation(mat);
EulerAngles& operator=(const MatrixBase<Derived>& m) {
System::CalcEulerAngles(*this, m);
return *this;
}
// TODO: Assign and construct from another EulerAngles (with different system)
@ -203,7 +163,8 @@ namespace Eigen
*/
template<typename Derived>
EulerAngles& operator=(const RotationBase<Derived, 3>& rot) {
return fromRotation(rot.toRotationMatrix());
System::CalcEulerAngles(*this, rot.toRotationMatrix());
return *this;
}
// TODO: Support isApprox function
@ -216,9 +177,9 @@ namespace Eigen
QuaternionType toQuaternion() const
{
return
AngleAxisType(h(), HeadingAxisVector()) *
AngleAxisType(p(), PitchAxisVector()) *
AngleAxisType(r(), RollAxisVector());
AngleAxisType(alpha(), AlphaAxisVector()) *
AngleAxisType(beta(), BetaAxisVector()) *
AngleAxisType(gamma(), GammaAxisVector());
}
operator QuaternionType() const
@ -227,20 +188,27 @@ namespace Eigen
}
};
typedef EulerAngles<double, EulerSystemXYZ> EulerAnglesXYZd;
typedef EulerAngles<double, EulerSystemXYX> EulerAnglesXYXd;
typedef EulerAngles<double, EulerSystemXZY> EulerAnglesXZYd;
typedef EulerAngles<double, EulerSystemXZX> EulerAnglesXZXd;
#define EIGEN_EULER_ANGLES_SINGLE_TYPEDEF(SYSTEM, SCALAR_TYPE, SCALAR_POSTFIX) \
typedef EulerAngles<SCALAR_TYPE, SYSTEM> SYSTEM##SCALAR_POSTFIX;
typedef EulerAngles<double, EulerSystemYZX> EulerAnglesYZXd;
typedef EulerAngles<double, EulerSystemYZY> EulerAnglesYZYd;
typedef EulerAngles<double, EulerSystemYXZ> EulerAnglesYXZd;
typedef EulerAngles<double, EulerSystemYXY> EulerAnglesYXYd;
#define EIGEN_EULER_ANGLES_TYPEDEFS(SCALAR_TYPE, SCALAR_POSTFIX) \
EIGEN_EULER_ANGLES_SINGLE_TYPEDEF(EulerSystemXYZ, SCALAR_TYPE, SCALAR_POSTFIX) \
EIGEN_EULER_ANGLES_SINGLE_TYPEDEF(EulerSystemXYX, SCALAR_TYPE, SCALAR_POSTFIX) \
EIGEN_EULER_ANGLES_SINGLE_TYPEDEF(EulerSystemXZY, SCALAR_TYPE, SCALAR_POSTFIX) \
EIGEN_EULER_ANGLES_SINGLE_TYPEDEF(EulerSystemXZX, SCALAR_TYPE, SCALAR_POSTFIX) \
\
EIGEN_EULER_ANGLES_SINGLE_TYPEDEF(EulerSystemYZX, SCALAR_TYPE, SCALAR_POSTFIX) \
EIGEN_EULER_ANGLES_SINGLE_TYPEDEF(EulerSystemYZY, SCALAR_TYPE, SCALAR_POSTFIX) \
EIGEN_EULER_ANGLES_SINGLE_TYPEDEF(EulerSystemYXZ, SCALAR_TYPE, SCALAR_POSTFIX) \
EIGEN_EULER_ANGLES_SINGLE_TYPEDEF(EulerSystemYXY, SCALAR_TYPE, SCALAR_POSTFIX) \
\
EIGEN_EULER_ANGLES_SINGLE_TYPEDEF(EulerSystemZXY, SCALAR_TYPE, SCALAR_POSTFIX) \
EIGEN_EULER_ANGLES_SINGLE_TYPEDEF(EulerSystemZXZ, SCALAR_TYPE, SCALAR_POSTFIX) \
EIGEN_EULER_ANGLES_SINGLE_TYPEDEF(EulerSystemZYX, SCALAR_TYPE, SCALAR_POSTFIX) \
EIGEN_EULER_ANGLES_SINGLE_TYPEDEF(EulerSystemZYZ, SCALAR_TYPE, SCALAR_POSTFIX)
typedef EulerAngles<double, EulerSystemZXY> EulerAnglesZXYd;
typedef EulerAngles<double, EulerSystemZXZ> EulerAnglesZXZd;
typedef EulerAngles<double, EulerSystemZYX> EulerAnglesZYXd;
typedef EulerAngles<double, EulerSystemZYZ> EulerAnglesZYZd;
EIGEN_EULER_ANGLES_TYPEDEFS(float, f)
EIGEN_EULER_ANGLES_TYPEDEFS(double, d)
namespace internal
{

View File

@ -30,69 +30,6 @@ namespace Eigen
{
enum { value = -Num };
};
template <bool Cond>
struct NegativeIf
{
template <typename T>
static T run(const T& t)
{
return -t;
}
};
template <>
struct NegativeIf<false>
{
template <typename T>
static T run(const T& t)
{
return t;
}
};
template <bool Cond>
struct NegateIf
{
template <typename T>
static void run(T& t)
{
t = -t;
}
};
template <>
struct NegateIf<false>
{
template <typename T>
static void run(T&)
{
// no op
}
};
template <bool Cond1, bool Cond2>
struct NegateIfXor : NegateIf<Cond1 != Cond2> {};
template <typename Type, Type value, bool Cond>
struct AddConstIf
{
template <typename T>
static void run(T& t)
{
t += T(value);
}
};
template <typename Type, Type value>
struct AddConstIf<Type, value, false>
{
template <typename T>
static void run(T&)
{
// no op
}
};
template <int Axis>
struct IsValidAxis
@ -108,36 +45,36 @@ namespace Eigen
EULER_Z = 3
};
template <int _HeadingAxis, int _PitchAxis, int _RollAxis>
template <int _AlphaAxis, int _BetaAxis, int _GammaAxis>
class EulerSystem
{
public:
// It's defined this way and not as enum, because I think
// that enum is not guerantee to support negative numbers
static const int HeadingAxis = _HeadingAxis;
static const int PitchAxis = _PitchAxis;
static const int RollAxis = _RollAxis;
static const int AlphaAxis = _AlphaAxis;
static const int BetaAxis = _BetaAxis;
static const int GammaAxis = _GammaAxis;
enum
{
HeadingAxisAbs = internal::Abs<HeadingAxis>::value,
PitchAxisAbs = internal::Abs<PitchAxis>::value,
RollAxisAbs = internal::Abs<RollAxis>::value,
AlphaAxisAbs = internal::Abs<AlphaAxis>::value,
BetaAxisAbs = internal::Abs<BetaAxis>::value,
GammaAxisAbs = internal::Abs<GammaAxis>::value,
IsHeadingOpposite = (HeadingAxis < 0) ? 1 : 0,
IsPitchOpposite = (PitchAxis < 0) ? 1 : 0,
IsRollOpposite = (RollAxis < 0) ? 1 : 0,
IsAlphaOpposite = (AlphaAxis < 0) ? 1 : 0,
IsBetaOpposite = (BetaAxis < 0) ? 1 : 0,
IsGammaOpposite = (GammaAxis < 0) ? 1 : 0,
IsOdd = ((HeadingAxisAbs)%3 == (PitchAxisAbs - 1)%3) ? 0 : 1,
IsOdd = ((AlphaAxisAbs)%3 == (BetaAxisAbs - 1)%3) ? 0 : 1,
IsEven = IsOdd ? 0 : 1,
// TODO: Assert this, and sort it in a better way
IsValid = ((unsigned)HeadingAxisAbs != (unsigned)PitchAxisAbs &&
(unsigned)PitchAxisAbs != (unsigned)RollAxisAbs &&
internal::IsValidAxis<HeadingAxis>::value && internal::IsValidAxis<PitchAxis>::value && internal::IsValidAxis<RollAxis>::value) ? 1 : 0,
IsValid = ((unsigned)AlphaAxisAbs != (unsigned)BetaAxisAbs &&
(unsigned)BetaAxisAbs != (unsigned)GammaAxisAbs &&
internal::IsValidAxis<AlphaAxis>::value && internal::IsValidAxis<BetaAxis>::value && internal::IsValidAxis<GammaAxis>::value) ? 1 : 0,
// TODO: After a proper assertation, remove the "IsValid" from this expression
IsTaitBryan = (IsValid && (unsigned)HeadingAxisAbs != (unsigned)RollAxisAbs) ? 1 : 0
IsTaitBryan = (IsValid && (unsigned)AlphaAxisAbs != (unsigned)GammaAxisAbs) ? 1 : 0
};
private:
@ -147,13 +84,14 @@ namespace Eigen
// I, J, K are the pivot indexes permutation for the rotation matrix, that match this euler system.
// They are used in this class converters.
// They are always different from each other, and their possible values are: 0, 1, or 2.
I = HeadingAxisAbs - 1,
J = (HeadingAxisAbs - 1 + 1 + IsOdd)%3,
K = (HeadingAxisAbs - 1 + 2 - IsOdd)%3
I = AlphaAxisAbs - 1,
J = (AlphaAxisAbs - 1 + 1 + IsOdd)%3,
K = (AlphaAxisAbs - 1 + 2 - IsOdd)%3
};
// TODO: Get @mat parameter in form that avoids double evaluation.
template <typename Derived>
static void eulerAngles_imp(Matrix<typename MatrixBase<Derived>::Scalar, 3, 1>& res, const MatrixBase<Derived>& mat, internal::true_type /*isTaitBryan*/)
static void CalcEulerAngles_imp(Matrix<typename MatrixBase<Derived>::Scalar, 3, 1>& res, const MatrixBase<Derived>& mat, internal::true_type /*isTaitBryan*/)
{
using std::atan2;
using std::sin;
@ -176,7 +114,7 @@ namespace Eigen
}
template <typename Derived>
static void eulerAngles_imp(Matrix<typename MatrixBase<Derived>::Scalar,3,1>& res, const MatrixBase<Derived>& mat, internal::false_type /*isTaitBryan*/)
static void CalcEulerAngles_imp(Matrix<typename MatrixBase<Derived>::Scalar,3,1>& res, const MatrixBase<Derived>& mat, internal::false_type /*isTaitBryan*/)
{
using std::atan2;
using std::sin;
@ -216,50 +154,55 @@ namespace Eigen
public:
template<typename Scalar>
static void eulerAngles(
static void CalcEulerAngles(
EulerAngles<Scalar, EulerSystem>& res,
const typename EulerAngles<Scalar, EulerSystem>::Matrix3& mat)
{
eulerAngles(res, mat, false, false, false);
CalcEulerAngles(res, mat, false, false, false);
}
template<
typename Scalar,
bool PositiveRangeHeading,
bool PositiveRangePitch,
bool PositiveRangeRoll>
static void eulerAngles(
bool PositiveRangeAlpha,
bool PositiveRangeBeta,
bool PositiveRangeGamma>
static void CalcEulerAngles(
EulerAngles<Scalar, EulerSystem>& res,
const typename EulerAngles<Scalar, EulerSystem>::Matrix3& mat)
{
eulerAngles(res, mat, PositiveRangeHeading, PositiveRangePitch, PositiveRangeRoll);
CalcEulerAngles(res, mat, PositiveRangeAlpha, PositiveRangeBeta, PositiveRangeGamma);
}
template<typename Scalar>
static void eulerAngles(
static void CalcEulerAngles(
EulerAngles<Scalar, EulerSystem>& res,
const typename EulerAngles<Scalar, EulerSystem>::Matrix3& mat,
bool positiveRangeHeading,
bool positiveRangePitch,
bool positiveRangeRoll)
bool PositiveRangeAlpha,
bool PositiveRangeBeta,
bool PositiveRangeGamma)
{
eulerAngles_imp(
res.coeffs(), mat,
CalcEulerAngles_imp(
res.angles(), mat,
typename internal::conditional<IsTaitBryan, internal::true_type, internal::false_type>::type());
internal::NegateIfXor<IsHeadingOpposite, IsEven>::run(res.h());
internal::NegateIfXor<IsPitchOpposite, IsEven>::run(res.p());
internal::NegateIfXor<IsRollOpposite, IsEven>::run(res.r());
if (IsAlphaOpposite == IsOdd)
res.alpha() = -res.alpha();
if (IsBetaOpposite == IsOdd)
res.beta() = -res.beta();
if (IsGammaOpposite == IsOdd)
res.gamma() = -res.gamma();
// Saturate results to the requested range
if (positiveRangeHeading && (res.h() < 0))
res.h() += Scalar(2 * EIGEN_PI);
if (PositiveRangeAlpha && (res.alpha() < 0))
res.alpha() += Scalar(2 * EIGEN_PI);
if (positiveRangePitch && (res.p() < 0))
res.p() += Scalar(2 * EIGEN_PI);
if (PositiveRangeBeta && (res.beta() < 0))
res.beta() += Scalar(2 * EIGEN_PI);
if (positiveRangeRoll && (res.r() < 0))
res.r() += Scalar(2 * EIGEN_PI);
if (PositiveRangeGamma && (res.gamma() < 0))
res.gamma() += Scalar(2 * EIGEN_PI);
}
};

View File

@ -15,7 +15,7 @@ using namespace Eigen;
template<typename EulerSystem, typename Scalar>
void verify_euler_ranged(const Matrix<Scalar,3,1>& ea,
bool positiveRangeHeading, bool positiveRangePitch, bool positiveRangeRoll)
bool positiveRangeAlpha, bool positiveRangeBeta, bool positiveRangeGamma)
{
typedef EulerAngles<Scalar, EulerSystem> EulerAnglesType;
typedef Matrix<Scalar,3,3> Matrix3;
@ -24,64 +24,64 @@ void verify_euler_ranged(const Matrix<Scalar,3,1>& ea,
typedef AngleAxis<Scalar> AngleAxisType;
using std::abs;
Scalar headingRangeStart, headingRangeEnd;
Scalar pitchRangeStart, pitchRangeEnd;
Scalar rollRangeStart, rollRangeEnd;
Scalar alphaRangeStart, alphaRangeEnd;
Scalar betaRangeStart, betaRangeEnd;
Scalar gammaRangeStart, gammaRangeEnd;
if (positiveRangeHeading)
if (positiveRangeAlpha)
{
headingRangeStart = Scalar(0);
headingRangeEnd = Scalar(2 * EIGEN_PI);
alphaRangeStart = Scalar(0);
alphaRangeEnd = Scalar(2 * EIGEN_PI);
}
else
{
headingRangeStart = -Scalar(EIGEN_PI);
headingRangeEnd = Scalar(EIGEN_PI);
alphaRangeStart = -Scalar(EIGEN_PI);
alphaRangeEnd = Scalar(EIGEN_PI);
}
if (positiveRangePitch)
if (positiveRangeBeta)
{
pitchRangeStart = Scalar(0);
pitchRangeEnd = Scalar(2 * EIGEN_PI);
betaRangeStart = Scalar(0);
betaRangeEnd = Scalar(2 * EIGEN_PI);
}
else
{
pitchRangeStart = -Scalar(EIGEN_PI);
pitchRangeEnd = Scalar(EIGEN_PI);
betaRangeStart = -Scalar(EIGEN_PI);
betaRangeEnd = Scalar(EIGEN_PI);
}
if (positiveRangeRoll)
if (positiveRangeGamma)
{
rollRangeStart = Scalar(0);
rollRangeEnd = Scalar(2 * EIGEN_PI);
gammaRangeStart = Scalar(0);
gammaRangeEnd = Scalar(2 * EIGEN_PI);
}
else
{
rollRangeStart = -Scalar(EIGEN_PI);
rollRangeEnd = Scalar(EIGEN_PI);
gammaRangeStart = -Scalar(EIGEN_PI);
gammaRangeEnd = Scalar(EIGEN_PI);
}
const int i = EulerSystem::HeadingAxisAbs - 1;
const int j = EulerSystem::PitchAxisAbs - 1;
const int k = EulerSystem::RollAxisAbs - 1;
const int i = EulerSystem::AlphaAxisAbs - 1;
const int j = EulerSystem::BetaAxisAbs - 1;
const int k = EulerSystem::GammaAxisAbs - 1;
const int iFactor = EulerSystem::IsHeadingOpposite ? -1 : 1;
const int jFactor = EulerSystem::IsPitchOpposite ? -1 : 1;
const int kFactor = EulerSystem::IsRollOpposite ? -1 : 1;
const int iFactor = EulerSystem::IsAlphaOpposite ? -1 : 1;
const int jFactor = EulerSystem::IsBetaOpposite ? -1 : 1;
const int kFactor = EulerSystem::IsGammaOpposite ? -1 : 1;
const Vector3 I = EulerAnglesType::HeadingAxisVector();
const Vector3 J = EulerAnglesType::PitchAxisVector();
const Vector3 K = EulerAnglesType::RollAxisVector();
const Vector3 I = EulerAnglesType::AlphaAxisVector();
const Vector3 J = EulerAnglesType::BetaAxisVector();
const Vector3 K = EulerAnglesType::GammaAxisVector();
EulerAnglesType e(ea[0], ea[1], ea[2]);
Matrix3 m(e);
Vector3 eabis = EulerAnglesType(m, positiveRangeHeading, positiveRangePitch, positiveRangeRoll).coeffs();
Vector3 eabis = EulerAnglesType(m, positiveRangeAlpha, positiveRangeBeta, positiveRangeGamma).angles();
// Check that eabis in range
VERIFY(headingRangeStart <= eabis[0] && eabis[0] <= headingRangeEnd);
VERIFY(pitchRangeStart <= eabis[1] && eabis[1] <= pitchRangeEnd);
VERIFY(rollRangeStart <= eabis[2] && eabis[2] <= rollRangeEnd);
VERIFY(alphaRangeStart <= eabis[0] && eabis[0] <= alphaRangeEnd);
VERIFY(betaRangeStart <= eabis[1] && eabis[1] <= betaRangeEnd);
VERIFY(gammaRangeStart <= eabis[2] && eabis[2] <= gammaRangeEnd);
Vector3 eabis2 = m.eulerAngles(i, j, k);
@ -91,11 +91,11 @@ void verify_euler_ranged(const Matrix<Scalar,3,1>& ea,
eabis2[2] *= kFactor;
// Saturate the angles to the correct range
if (positiveRangeHeading && (eabis2[0] < 0))
if (positiveRangeAlpha && (eabis2[0] < 0))
eabis2[0] += Scalar(2 * EIGEN_PI);
if (positiveRangePitch && (eabis2[1] < 0))
if (positiveRangeBeta && (eabis2[1] < 0))
eabis2[1] += Scalar(2 * EIGEN_PI);
if (positiveRangeRoll && (eabis2[2] < 0))
if (positiveRangeGamma && (eabis2[2] < 0))
eabis2[2] += Scalar(2 * EIGEN_PI);
VERIFY_IS_APPROX(eabis, eabis2);// Verify that our estimation is the same as m.eulerAngles() is
@ -104,7 +104,7 @@ void verify_euler_ranged(const Matrix<Scalar,3,1>& ea,
VERIFY_IS_APPROX(m, mbis);
// Tests that are only relevant for no possitive range
if (!(positiveRangeHeading || positiveRangePitch || positiveRangeRoll))
if (!(positiveRangeAlpha || positiveRangeBeta || positiveRangeGamma))
{
/* If I==K, and ea[1]==0, then there no unique solution. */
/* The remark apply in the case where I!=K, and |ea[1]| is close to pi/2. */
@ -117,7 +117,7 @@ void verify_euler_ranged(const Matrix<Scalar,3,1>& ea,
// Quaternions
QuaternionType q(e);
eabis = EulerAnglesType(q, positiveRangeHeading, positiveRangePitch, positiveRangeRoll).coeffs();
eabis = EulerAnglesType(q, positiveRangeAlpha, positiveRangeBeta, positiveRangeGamma).angles();
VERIFY_IS_APPROX(eabis, eabis2);// Verify that the euler angles are still the same
}