Math utilities

Description

Collaboration diagram for Math utilities:

Classes
class	chrono::real2
	Chrono::Multicore pair (2-dimensional vector). More...
class	chrono::real3
	Chrono::Multicore triplet (3-dimensional vector). More...
class	chrono::real4
	Chrono::Multicore qudruple (4-dimensional array). More...
class	chrono::quaternion
	Chrono::Multicore quaternion class. More...

Macros
#define	OPERATOR_EQUALS(op, tin, tout)
#define	OPERATOR_EQUALSALT_PROTO(op, tin, tout)   tout& operator op##=(tout& a, const tin& scale);
#define	OPERATOR_EQUALSALT(op, tin, tout)
#define	OPERATOR_EQUALS_PROTO(op, tin, tout)   tout& operator op##=(tout& a, const tin& scale);
#define	OPERATOR_EQUALS_IMPL(op, tin, tout)
#define	C_LARGE_REAL   DBL_MAX
#define	C_EPSILON   DBL_EPSILON
#define	C_LARGE_REAL   FLT_MAX
#define	C_EPSILON   FLT_EPSILON

Typedefs
typedef double	chrono::real

Functions
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator* (const Mat33 &M, const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::operator* (const Mat33 &N, const real scale)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::operator* (const Mat33 &M, const Mat33 &N)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::operator+ (const Mat33 &M, const Mat33 &N)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::operator- (const Mat33 &M, const Mat33 &N)
CUDA_HOST_DEVICE CH_MULTICORE_API OPERATOR_EQUALSALT_PROTO real CUDA_HOST_DEVICE CH_MULTICORE_API OPERATOR_EQUALSALT_PROTO Mat33 CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::OPERATOR_EQUALSALT_PROTO (+, Mat33, Mat33) CUDA_HOST_DEVICE CH_MULTICORE_API OPERATOR_EQUALSALT_PROTO(-
CUDA_HOST_DEVICE CH_MULTICORE_API OPERATOR_EQUALSALT real CUDA_HOST_DEVICE CH_MULTICORE_API OPERATOR_EQUALSALT Mat33 CUDA_HOST_DEVICE CH_MULTICORE_API Mat33 CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::operator- (const Mat33 &M)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::operator* (const real s, const Mat33 &a)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::SkewSymmetric (const real3 &r)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::SkewSymmetricAlt (const real3 &r)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::Determinant (const Mat33 &m)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::Abs (const Mat33 &m)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::Transpose (const Mat33 &a)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::MultTranspose (const Mat33 &M, const Mat33 &N)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::TransposeMult (const Mat33 &M, const Mat33 &N)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::Trace (const Mat33 &m)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::OuterProduct (const real3 &a, const real3 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::InnerProduct (const Mat33 &A, const Mat33 &B)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::Adjoint (const Mat33 &A)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::AdjointTranspose (const Mat33 &A)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::Inverse (const Mat33 &A)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::InverseTranspose (const Mat33 &A)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::Norm (const Mat33 &A)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::NormSq (const Mat33 &A)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::DoubleDot (const Mat33 &A, const Mat33 &B)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::LargestColumnNormalized (const Mat33 &A)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat33	chrono::operator* (const DiagMat33 &M, const Mat33 &N)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator* (const DiagMat33 &M, const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API SymMat33	chrono::operator- (const SymMat33 &M, const real &v)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator* (const Mat32 &M, const real2 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API SymMat22	chrono::operator- (const SymMat22 &M, const real &v)
CUDA_HOST_DEVICE CH_MULTICORE_API SymMat22	chrono::CofactorMatrix (const SymMat22 &A)
CUDA_HOST_DEVICE CH_MULTICORE_API real2	chrono::LargestColumnNormalized (const SymMat22 &A)
CUDA_HOST_DEVICE CH_MULTICORE_API SymMat33	chrono::NormalEquationsMatrix (const Mat33 &A)
CUDA_HOST_DEVICE CH_MULTICORE_API SymMat33	chrono::CofactorMatrix (const SymMat33 &A)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::LargestColumnNormalized (const SymMat33 &A)
CUDA_HOST_DEVICE CH_MULTICORE_API Mat32	chrono::operator* (const SymMat33 &M, const Mat32 &N)
CUDA_HOST_DEVICE CH_MULTICORE_API SymMat22	chrono::TransposeTimesWithSymmetricResult (const Mat32 &A, const Mat32 &B)
CUDA_HOST_DEVICE CH_MULTICORE_API SymMat22	chrono::ConjugateWithTranspose (const Mat32 &A, const SymMat33 &B)
CUDA_HOST_DEVICE CH_MULTICORE_API void	chrono::Print (const Mat33 &A, const char *name)
CUDA_HOST_DEVICE CH_MULTICORE_API void	chrono::Print (const Mat32 &A, const char *name)
CUDA_HOST_DEVICE CH_MULTICORE_API void	chrono::Print (const SymMat33 &A, const char *name)
CUDA_HOST_DEVICE CH_MULTICORE_API void	chrono::Print (const SymMat22 &A, const char *name)
CUDA_HOST_DEVICE CH_MULTICORE_API void	chrono::PrintLine (const Mat33 &A, const char *name)
CUDA_HOST_DEVICE CH_MULTICORE_API void	chrono::PrintLine (const Mat32 &A, const char *name)
CUDA_HOST_DEVICE CH_MULTICORE_API void	chrono::PrintLine (const SymMat33 &A, const char *name)
CUDA_HOST_DEVICE CH_MULTICORE_API void	chrono::PrintLine (const SymMat22 &A, const char *name)
CUDA_HOST_DEVICE real	chrono::Lerp (const real &start, const real &end, const real &t)
template<typename T >
CUDA_HOST_DEVICE void	chrono::Swap (T &a, T &b)
template<typename T >
CUDA_HOST_DEVICE void	chrono::Sort (T &a, T &b, T &c)
template<typename T >
CUDA_HOST_DEVICE void	chrono::SwapIfGreater (T &a, T &b)
CUDA_HOST_DEVICE real	chrono::Clamp (real x, real low, real high)
	Clamps a given value a between user specified minimum and maximum values.
CUDA_HOST_DEVICE real	chrono::ClampMin (real x, real low)
CUDA_HOST_DEVICE real	chrono::ClampMax (real x, real high)
CUDA_HOST_DEVICE real2	chrono::operator+ (const real2 &a, real b)
CUDA_HOST_DEVICE real2	chrono::operator- (const real2 &a, real b)
CUDA_HOST_DEVICE real2	chrono::operator* (const real2 &a, real b)
CUDA_HOST_DEVICE real2	chrono::operator/ (const real2 &a, real b)
CUDA_HOST_DEVICE real2	chrono::operator+ (const real2 &a, const real2 &b)
CUDA_HOST_DEVICE real2	chrono::operator- (const real2 &a, const real2 &b)
CUDA_HOST_DEVICE real2	chrono::operator* (const real2 &a, const real2 &b)
CUDA_HOST_DEVICE real2	chrono::operator/ (const real2 &a, const real2 &b)
CUDA_HOST_DEVICE real2	chrono::operator- (const real2 &a)
CUDA_HOST_DEVICE	chrono::OPERATOR_EQUALS_PROTO (/, real, real2)
CUDA_HOST_DEVICE	chrono::OPERATOR_EQUALS_PROTO (+, real, real2)
CUDA_HOST_DEVICE	chrono::OPERATOR_EQUALS_PROTO (-, real, real2)
CUDA_HOST_DEVICE	chrono::OPERATOR_EQUALS_PROTO (/, real2, real2)
CUDA_HOST_DEVICE	chrono::OPERATOR_EQUALS_PROTO (+, real2, real2)
CUDA_HOST_DEVICE	chrono::OPERATOR_EQUALS_PROTO (-, real2, real2)
CUDA_HOST_DEVICE real2	chrono::operator* (real lhs, const real2 &rhs)
CUDA_HOST_DEVICE bool	chrono::operator== (const real2 &lhs, const real2 &rhs)
CUDA_HOST_DEVICE real2	chrono::Max (const real2 &a, const real2 &b)
CUDA_HOST_DEVICE real2	chrono::Min (const real2 &a, const real2 &b)
CUDA_HOST_DEVICE real	chrono::Dot (const real2 &v1, const real2 &v2)
CUDA_HOST_DEVICE real	chrono::Dot (const real2 &v)
CUDA_HOST_DEVICE real	chrono::Length2 (const real2 &v1)
CUDA_HOST_DEVICE real2	chrono::Normalize (const real2 &v1)
CUDA_HOST_DEVICE void	chrono::Print (real2 v, const char *name)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Set3 (real x)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Set3 (real x, real y, real z)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator+ (const real3 &a, real b)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator- (const real3 &a, real b)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator* (const real3 &a, real b)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator/ (const real3 &a, real b)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator+ (const real3 &a, const real3 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator- (const real3 &a, const real3 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator* (const real3 &a, const real3 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator/ (const real3 &a, const real3 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::OPERATOR_EQUALS_PROTO (/, real, real3)
CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::OPERATOR_EQUALS_PROTO (+, real, real3)
CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::OPERATOR_EQUALS_PROTO (-, real, real3)
CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::OPERATOR_EQUALS_PROTO (/, real3, real3)
CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::OPERATOR_EQUALS_PROTO (+, real3, real3)
CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::OPERATOR_EQUALS_PROTO (-, real3, real3)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator- (const real3 &a)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator* (real lhs, const real3 &rhs)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::operator/ (real lhs, const real3 &rhs)
CUDA_HOST_DEVICE CH_MULTICORE_API bool	chrono::operator< (const real3 &a, const real3 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API bool	chrono::operator> (const real3 &a, const real3 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API bool	chrono::operator== (const real3 &a, const real3 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Cross (const real3 &b, const real3 &c)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::Dot (const real3 &v1, const real3 &v2)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::Dot (const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Normalize (const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Sqrt (const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Round (const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::Length (const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::Length2 (const real3 &v1)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::SafeLength (const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::SafeNormalize (const real3 &v, const real3 &safe)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::Max (const real3 &a)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::Min (const real3 &a)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Max (const real3 &a, const real3 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Min (const real3 &a, const real3 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Max (const real3 &a, const real &b)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Min (const real3 &a, const real &b)
CUDA_HOST_DEVICE CH_MULTICORE_API bool	chrono::IsZero (const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Abs (const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Sign (const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Clamp (const real3 &v, real max_length)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Clamp (const real3 &a, const real3 &clamp_min, const real3 &clamp_max)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::OrthogonalVector (const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::UnitOrthogonalVector (const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API void	chrono::Sort (real &a, real &b, real &c)
CUDA_HOST_DEVICE CH_MULTICORE_API void	chrono::Print (real3 v, const char *name)
CUDA_HOST_DEVICE CH_MULTICORE_API real4	chrono::Set4 (real x)
CUDA_HOST_DEVICE CH_MULTICORE_API real4	chrono::Set4 (real x, real y, real z, real w)
CUDA_HOST_DEVICE CH_MULTICORE_API real4	chrono::operator+ (const real4 &a, const real4 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API real4	chrono::operator- (const real4 &a, const real4 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API real4	chrono::operator* (const real4 &a, const real4 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API real4	chrono::operator/ (const real4 &a, const real4 &b)
CUDA_HOST_DEVICE CH_MULTICORE_API real4	chrono::operator+ (const real4 &a, real b)
CUDA_HOST_DEVICE CH_MULTICORE_API real4	chrono::operator- (const real4 &a, real b)
CUDA_HOST_DEVICE CH_MULTICORE_API real4	chrono::operator* (const real4 &a, real b)
CUDA_HOST_DEVICE CH_MULTICORE_API real4	chrono::operator/ (const real4 &a, real b)
CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::OPERATOR_EQUALS_PROTO (/, real, real4)
CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::OPERATOR_EQUALS_PROTO (+, real, real4)
CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::OPERATOR_EQUALS_PROTO (-, real, real4)
CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::OPERATOR_EQUALS_PROTO (/, real4, real4)
CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::OPERATOR_EQUALS_PROTO (+, real4, real4)
CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::OPERATOR_EQUALS_PROTO (-, real4, real4)
CUDA_HOST_DEVICE CH_MULTICORE_API real4	chrono::operator- (const real4 &a)
CUDA_HOST_DEVICE CH_MULTICORE_API real4	chrono::Dot4 (const real3 &v, const real3 &v1, const real3 &v2, const real3 &v3, const real3 &v4)
CUDA_HOST_DEVICE CH_MULTICORE_API quaternion	chrono::SetQ (real x)
CUDA_HOST_DEVICE CH_MULTICORE_API quaternion	chrono::SetQ (real w, real x, real y, real z)
CUDA_HOST_DEVICE CH_MULTICORE_API quaternion	chrono::operator+ (const quaternion &a, real b)
CUDA_HOST_DEVICE CH_MULTICORE_API quaternion	chrono::operator- (const quaternion &a, real b)
CUDA_HOST_DEVICE CH_MULTICORE_API quaternion	chrono::operator* (const quaternion &a, real b)
CUDA_HOST_DEVICE CH_MULTICORE_API quaternion	chrono::operator/ (const quaternion &a, real b)
CUDA_HOST_DEVICE CH_MULTICORE_API quaternion	chrono::operator~ (const quaternion &a)
CUDA_HOST_DEVICE CH_MULTICORE_API quaternion	chrono::Inv (const quaternion &a)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::Dot (const quaternion &v1, const quaternion &v2)
CUDA_HOST_DEVICE CH_MULTICORE_API real	chrono::Dot (const quaternion &v)
CUDA_HOST_DEVICE CH_MULTICORE_API quaternion	chrono::Mult (const quaternion &a, const quaternion &b)
CUDA_HOST_DEVICE CH_MULTICORE_API quaternion	chrono::Normalize (const quaternion &v)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::Rotate (const real3 &v, const quaternion &q)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::RotateT (const real3 &v, const quaternion &q)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::AbsRotate (const quaternion &q, const real3 &v)
CUDA_HOST_DEVICE CH_MULTICORE_API quaternion	chrono::Q_from_AngAxis (const real &angle, const real3 &axis)
CUDA_HOST_DEVICE CH_MULTICORE_API real3	chrono::AMatV (const quaternion &q)
CUDA_HOST_DEVICE CH_MULTICORE_API void	chrono::Print (quaternion v, const char *name)

Variables
CUDA_HOST_DEVICE CH_MULTICORE_API OPERATOR_EQUALSALT real CUDA_HOST_DEVICE CH_MULTICORE_API OPERATOR_EQUALSALT Mat33 CUDA_HOST_DEVICE CH_MULTICORE_API	chrono::Mat33
CUDA_HOST_DEVICE OPERATOR_EQUALS_IMPL *	chrono::real2
CUDA_HOST_DEVICE CH_MULTICORE_API OPERATOR_EQUALS_IMPL *	chrono::real3
CUDA_HOST_DEVICE CH_MULTICORE_API OPERATOR_EQUALS_IMPL *	chrono::real4

Macro Definition Documentation

OPERATOR_EQUALS

#define OPERATOR_EQUALS	(		op,
			tin,
			tout
	)

Value:

inline tout& operator op##=(tin scale) { \
        *this = *this op scale;              \
        return *this;                        \
    }

OPERATOR_EQUALS_IMPL

#define OPERATOR_EQUALS_IMPL	(		op,
			tin,
			tout
	)

Value:

tout& operator op##=(tout& a, const tin& scale) { \
        a = a op scale;                               \
        return a;                                     \
    }

OPERATOR_EQUALSALT

#define OPERATOR_EQUALSALT	(		op,
			tin,
			tout
	)

Value:

tout& operator op##=(tout& a, const tin& scale) { \
        a = a op scale;                               \
        return a;                                     \
    }