The namespace for the Sandals library. More...

Classes
class	Chebyshev51
	Class container for the 5-stage Runge-Kutta-Chebyshev order 1 method. More...

class	Chebyshev51Tableau
	Butcher tableau for the 5-stage Runge-Kutta-Chebyshev order 1 method. More...

class	Explicit
	Class container for the system of explicit ODEs. More...

class	ExplicitEuler
	Class container for the Explicit Euler method. More...

class	ExplicitEulerTableau
	Butcher tableau for the Explicit Euler method. More...

class	Fehlberg45
	Class container for the Runge-Kutta-Fehlberg 4(5) method. More...

class	Fehlberg45Tableau
	Butcher tableau for the Runge-Kutta-Fehlberg 4(5) method. More...

class	GaussLegendre2
	Class container for the Gauss-Legendre order 2 method. More...

class	GaussLegendre2Tableau
	Butcher Tableau for the Gauss-Legendre order 2 method. More...

class	GaussLegendre4
	Class container for the Gauss-Legendre order 4 method. More...

class	GaussLegendre4Tableau
	Butcher Tableau for the Gauss-Legendre order 4 method. More...

class	GaussLegendre6
	Class container for the Gauss-Legendre order 6 method. More...

class	GaussLegendre6Tableau
	Butcher tableau for the Gauss-Legendre order 6 method. More...

class	Heun2
	Class container for the Heun's (or 2-stage strong-stability preserving Runge-Kutta) order 2 method. More...

class	Heun2Tableau
	Butcher tableau for the Heun's (or 2-stage strong-stability preserving Runge-Kutta) order 2 method. More...

class	Heun3
	Class container for the Heun's order 3 method. More...

class	Heun3Tableau
	Butcher tableau for the Heun's order 3 method. More...

class	Implicit
	Class container for the system of implicit ODEs/DAEs. More...

class	ImplicitEuler
	Class container for the Implicit Euler method. More...

class	ImplicitEulerTableau
	Butcher tableau for the Implicit Euler method. More...

class	Linear
	Class container for the system of linear ODEs/DAEs. More...

class	LobattoIIIA2
	Class container for the Lobatto IIIA order 2 method. More...

class	LobattoIIIA2Tableau
	Butcher tableau for the Lobatto IIIA order 2 method. More...

class	MTE22
	Class container for the minimal truncation error (or Ralston's) order 2 method. More...

class	MTE22Tableau
	Butcher tableau for the minimal truncation error (or Ralston's) order 2 method. More...

class	RadauIIA3
	Class container for the Radau IIA order 3 method. More...

class	RadauIIA3Tableau
	Butcher tableau for the Radau IIA order 3 method. More...

class	RadauIIA5
	Class container for the Radau IIA order 5 method. More...

class	RadauIIA5Tableau
	Butcher tableau for the Radau IIA order 3 method. More...

class	Ralston2
	Class container for the Ralston's (or minimal truncation error) order 2 method. More...

class	Ralston2Tableau
	Butcher tableau for the Ralston's (or minimal truncation error) order 2 method. More...

class	Ralston3
	Class container for the Ralston's order 3 method. More...

class	Ralston3Tableau
	Butcher tableau for the Ralston's order 3 method. More...

class	Ralston4
	Class container for the Ralston's order 4 method. More...

class	Ralston4Tableau
	Butcher tableau for the Ralston's order 4 method. More...

class	RK4
	Class container for the Runge-Kutta order 4 method. More...

class	RK4Tableau
	Butcher tableau for the Runge-Kutta order 4 method. More...

class	RungeKutta
	Class container for the generic implicit, explicit, and diagonally implicit Runge-Kutta methods. More...

class	SemiExplicit
	Class container for the system of explicit ODEs/DAEs. More...

struct	Solution
	Class container for the numerical solution of a system of ODEs/DAEs. More...

class	SSPIRK33
	Class container for the 3-stage diagonally-implicit strong-stability preserving Runge-Kutta order 3 method. More...

class	SSPIRK33Tableau
	Butcher tableau for the 3-stage diagonally-implicit strong-stability preserving Runge-Kuttax order 3 method. More...

class	SSPRK104
	Class container for the 10-stage strong-stability preserving Runge-Kutta order 4 method. More...

class	SSPRK104Tableau
	Butcher tableau for the 10-stage strong-stability preserving Runge-Kutta order 4 method. More...

class	SSPRK22
	Class container for the 2-stage strong-stability preserving Runge-Kutta (or Heun) order 2 method. More...

class	SSPRK22star
	Class container for the optimal 2-stage strong-stability preserving Runge-Kutta order 2 method. More...

class	SSPRK22starTableau
	Butcher tableau for the optimal 2-stage strong-stability preserving Runge-Kutta order 2 method. More...

class	SSPRK22Tableau
	Butcher tableau for the 2-stage strong-stability preserving Runge-Kutta (or Heun) order 2 method. More...

class	SSPRK33
	Class container for the 3-stage strong-stability preserving Runge-Kutta order 3 method. More...

class	SSPRK33Tableau
	Butcher tableau for the 3-stage strong-stability preserving Runge-Kutta order 3 method. More...

class	SSPRK42
	Class container for the 4-stage strong-stability preserving Runge-Kutta order 2 method. More...

class	SSPRK42Tableau
	Butcher tableau for the 4-stage strong-stability preserving Runge-Kutta order 2 method. More...

class	SSPRK43
	Class container for the 4-stage strong-stability preserving Runge-Kutta order 3 method. More...

class	SSPRK43Tableau
	Butcher tableau for the 4-stage strong-stability preserving Runge-Kutta order 3 method. More...

class	SSPRK93
	Class container for the 9-stage strong-stability preserving Runge-Kutta order 3 method. More...

class	SSPRK93Tableau
	Butcher tableau for the 9-stage strong-stability preserving Runge-Kutta order 3 method. More...

struct	Tableau
	Struct container for the Butcher tableau of a Runge-Kutta method. More...

class	TicToc
	Class container for a timer. More...

Typedefs
using	Real = double

using	Integer = int

using	Vector0 = Eigen::Vector<Real, 0>

using	Matrix0 = Eigen::Matrix<Real, 0, 0>

using	Vector1 = Eigen::Vector<Real, 1>

using	Matrix1 = Eigen::Matrix<Real, 1, 1>

using	Vector2 = Eigen::Vector<Real, 2>

using	Matrix2 = Eigen::Matrix<Real, 2, 2>

using	Vector3 = Eigen::Vector<Real, 3>

using	Matrix3 = Eigen::Matrix<Real, 3, 3>

using	Vector4 = Eigen::Vector<Real, 4>

using	Matrix4 = Eigen::Matrix<Real, 4, 4>

using	Vector5 = Eigen::Vector<Real, 5>

using	Matrix5 = Eigen::Matrix<Real, 5, 5>

using	Vector6 = Eigen::Vector<Real, 6>

using	Matrix6 = Eigen::Matrix<Real, 6, 6>

using	Vector7 = Eigen::Vector<Real, 7>

using	Matrix7 = Eigen::Matrix<Real, 7, 7>

using	Vector8 = Eigen::Vector<Real, 8>

using	Matrix8 = Eigen::Matrix<Real, 8, 8>

using	Vector9 = Eigen::Vector<Real, 9>

using	Matrix9 = Eigen::Matrix<Real, 9, 9>

using	VectorX = Eigen::Vector<Real, Eigen::Dynamic>

using	MatrixX = Eigen::Matrix<Real, Eigen::Dynamic, Eigen::Dynamic>

Functions
std::string	Info ()

void	Info (std::ostream &os)

Variables
static Real const	EPSILON = std::numeric_limits<Real>::epsilon()

static Real const	SQRT_EPSILON = std::sqrt(EPSILON)

static Real const	CBRT_EPSILON = std::cbrt(EPSILON)

static Real const	EPSILON_HIGH = Real(1.0e-12)

static Real const	EPSILON_MEDIUM = Real(1.0e-10)

static Real const	EPSILON_LOW = Real(1.0e-08)

static Real const	INFTY = std::numeric_limits<Real>::infinity()

static Real const	QUIET_NAN = std::numeric_limits<Real>::quiet_NaN()

static Real const	PI = Real(3.141592653589793238462643383279502884197)

static Real const	PIMUL2 = Real(6.283185307179586476925286766559005768394)

static Real const	PIDIV2 = Real(1.570796326794896619231321691639751442098)

static Real const	DEG2RAD = Real(0.017453292519943295769236907684886127134)

static Real const	RAD2DEG = Real(57.29577951308232087679815481410517033240)

static Vector1 const	NAN_VEC1 = Vector1::Constant(QUIET_NAN)

static Matrix1 const	NAN_MAT1 = Matrix1::Constant(QUIET_NAN)

static Vector1 const	ZEROS_VEC1 = Vector1::Zero()

static Matrix1 const	ZEROS_MAT1 = Matrix1::Zero()

static Vector1 const	ONES_VEC1 = Vector1::Ones()

static Matrix1 const	ONES_MAT1 = Matrix1::Ones()

static Matrix1 const	IDENTITY_MAT1 = Matrix1::Identity()

static Vector2 const	NAN_VEC2 = Vector2::Constant(QUIET_NAN)

static Matrix2 const	NAN_MAT2 = Matrix2::Constant(QUIET_NAN)

static Vector2 const	ZEROS_VEC2 = Vector2::Zero()

static Matrix2 const	ZEROS_MAT2 = Matrix2::Zero()

static Vector2 const	ONES_VEC2 = Vector2::Ones()

static Matrix2 const	ONES_MAT2 = Matrix2::Ones()

static Matrix2 const	IDENTITY_MAT2 = Matrix2::Identity()

static Vector3 const	NAN_VEC3 = Vector3::Constant(QUIET_NAN)

static Matrix3 const	NAN_MAT3 = Matrix3::Constant(QUIET_NAN)

static Vector3 const	ZEROS_VEC3 = Vector3::Zero()

static Matrix3 const	ZEROS_MAT3 = Matrix3::Zero()

static Vector3 const	ONES_VEC3 = Vector3::Ones()

static Matrix3 const	ONES_MAT3 = Matrix3::Ones()

static Matrix3 const	IDENTITY_MAT3 = Matrix3::Identity()

static Vector4 const	NAN_VEC4 = Vector4::Constant(QUIET_NAN)

static Matrix4 const	NAN_MAT4 = Matrix4::Constant(QUIET_NAN)

static Vector4 const	ZEROS_VEC4 = Vector4::Zero()

static Matrix4 const	ZEROS_MAT4 = Matrix4::Zero()

static Vector4 const	ONES_VEC4 = Vector4::Ones()

static Matrix4 const	ONES_MAT4 = Matrix4::Ones()

static Matrix4 const	IDENTITY_MAT4 = Matrix4::Identity()

static Vector5 const	NAN_VEC5 = Vector5::Constant(QUIET_NAN)

static Matrix5 const	NAN_MAT5 = Matrix5::Constant(QUIET_NAN)

static Vector5 const	ZEROS_VEC5 = Vector5::Zero()

static Matrix5 const	ZEROS_MAT5 = Matrix5::Zero()

static Vector5 const	ONES_VEC5 = Vector5::Ones()

static Matrix5 const	ONES_MAT5 = Matrix5::Ones()

static Matrix5 const	IDENTITY_MAT5 = Matrix5::Identity()

static Vector6 const	NAN_VEC6 = Vector6::Constant(QUIET_NAN)

static Matrix6 const	NAN_MAT6 = Matrix6::Constant(QUIET_NAN)

static Vector6 const	ZEROS_VEC6 = Vector6::Zero()

static Matrix6 const	ZEROS_MAT6 = Matrix6::Zero()

static Vector6 const	ONES_VEC6 = Vector6::Ones()

static Matrix6 const	ONES_MAT6 = Matrix6::Ones()

static Matrix6 const	IDENTITY_MAT6 = Matrix6::Identity()

static Vector7 const	NAN_VEC7 = Vector7::Constant(QUIET_NAN)

static Matrix7 const	NAN_MAT7 = Matrix7::Constant(QUIET_NAN)

static Vector7 const	ZEROS_VEC7 = Vector7::Zero()

static Matrix7 const	ZEROS_MAT7 = Matrix7::Zero()

static Vector7 const	ONES_VEC7 = Vector7::Ones()

static Matrix7 const	ONES_MAT7 = Matrix7::Ones()

static Matrix7 const	IDENTITY_MAT7 = Matrix7::Identity()

static Vector8 const	NAN_VEC8 = Vector8::Constant(QUIET_NAN)

static Matrix8 const	NAN_MAT8 = Matrix8::Constant(QUIET_NAN)

static Vector8 const	ZEROS_VEC8 = Vector8::Zero()

static Matrix8 const	ZEROS_MAT8 = Matrix8::Zero()

static Vector8 const	ONES_VEC8 = Vector8::Ones()

static Matrix8 const	ONES_MAT8 = Matrix8::Ones()

static Matrix8 const	IDENTITY_MAT8 = Matrix8::Identity()

static Vector9 const	NAN_VEC9 = Vector9::Constant(QUIET_NAN)

static Matrix9 const	NAN_MAT9 = Matrix9::Constant(QUIET_NAN)

static Vector9 const	ZEROS_VEC9 = Vector9::Zero()

static Matrix9 const	ZEROS_MAT9 = Matrix9::Zero()

static Vector9 const	ONES_VEC9 = Vector9::Ones()

static Matrix9 const	ONES_MAT9 = Matrix9::Ones()

static Matrix9 const	IDENTITY_MAT9 = Matrix9::Identity()

Detailed Description

The namespace contains all the classes and functions of the Sandals library.

Typedef Documentation

◆ Integer

using Sandals::Integer = int

Integer number type.

◆ Matrix0

using Sandals::Matrix0 = Eigen::Matrix<Real, 0, 0>

\( 0 \times 0 \) matrix of Real number type.

◆ Matrix1

using Sandals::Matrix1 = Eigen::Matrix<Real, 1, 1>

\( 1 \times 1 \) matrix of Real number type.

◆ Matrix2

using Sandals::Matrix2 = Eigen::Matrix<Real, 2, 2>

\( 2 \times 2 \) matrix of Real number type.

◆ Matrix3

using Sandals::Matrix3 = Eigen::Matrix<Real, 3, 3>

\( 3 \times 3 \) matrix of Real number type.

◆ Matrix4

using Sandals::Matrix4 = Eigen::Matrix<Real, 4, 4>

\( 4 \times 4 \) matrix of Real number type.

◆ Matrix5

using Sandals::Matrix5 = Eigen::Matrix<Real, 5, 5>

\( 5 \times 5 \) matrix of Real number type.

◆ Matrix6

using Sandals::Matrix6 = Eigen::Matrix<Real, 6, 6>

\( 6 \times 6 \) matrix of Real number type.

◆ Matrix7

using Sandals::Matrix7 = Eigen::Matrix<Real, 7, 7>

\( 7 \times 7 \) matrix of Real number type.

◆ Matrix8

using Sandals::Matrix8 = Eigen::Matrix<Real, 8, 8>

\( 8 \times 8 \) matrix of Real number type.

◆ Matrix9

using Sandals::Matrix9 = Eigen::Matrix<Real, 9, 9>

\( 9 \times 9 \) matrix of Real number type.

◆ MatrixX

using Sandals::MatrixX = Eigen::Matrix<Real, Eigen::Dynamic, Eigen::Dynamic>

\( N \times N \) matrix of Real number type.

◆ Real

using Sandals::Real = double

Real number type.

◆ Vector0

using Sandals::Vector0 = Eigen::Vector<Real, 0>

\( 0 \times 1 \) vector of Real number type (column vector).

◆ Vector1

using Sandals::Vector1 = Eigen::Vector<Real, 1>

\( 1 \times 1 \) vector of Real number type (column vector).

◆ Vector2

using Sandals::Vector2 = Eigen::Vector<Real, 2>

\( 2 \times 1 \) vector of Real number type (column vector).

◆ Vector3

using Sandals::Vector3 = Eigen::Vector<Real, 3>

\( 3 \times 1 \) vector of Real number type (column vector).

◆ Vector4

using Sandals::Vector4 = Eigen::Vector<Real, 4>

\( 4 \times 1 \) vector of Real number type (column vector).

◆ Vector5

using Sandals::Vector5 = Eigen::Vector<Real, 5>

\( 5 \times 1 \) vector of Real number type (column vector).

◆ Vector6

using Sandals::Vector6 = Eigen::Vector<Real, 6>

\( 6 \times 1 \) vector of Real number type (column vector).

◆ Vector7

using Sandals::Vector7 = Eigen::Vector<Real, 7>

\( 7 \times 1 \) vector of Real number type (column vector).

◆ Vector8

using Sandals::Vector8 = Eigen::Vector<Real, 8>

\( 8 \times 1 \) vector of Real number type (column vector).

◆ Vector9

using Sandals::Vector9 = Eigen::Vector<Real, 9>

\( 9 \times 1 \) vector of Real number type (column vector).

◆ VectorX

using Sandals::VectorX = Eigen::Vector<Real, Eigen::Dynamic>

\( N \times 1 \) vector of Real number type (column vector).

Function Documentation

◆ Info() [1/2]

std::string Sandals::Info ( )

Print Sandals library information on a string.

Returns: A string with the Sandals library information.

◆ Info() [2/2]

void Sandals::Info ( std::ostream & os )

Print Sandals library information on a stream.

Parameters

[in] os Output stream.

Variable Documentation

◆ CBRT_EPSILON

Real const Sandals::CBRT_EPSILON = std::cbrt(EPSILON)

static

Cubic root of machine epsilon epsilon static constant value.

◆ DEG2RAD

Real const Sandals::DEG2RAD = Real(0.017453292519943295769236907684886127134)

static

The value of \( \pi/180 \).

◆ EPSILON

Real const Sandals::EPSILON = std::numeric_limits<Real>::epsilon()

static

Machine epsilon epsilon static constant value.

◆ EPSILON_HIGH

Real const Sandals::EPSILON_HIGH = Real(1.0e-12)

static

High precision epsilon static constant value.

◆ EPSILON_LOW

Real const Sandals::EPSILON_LOW = Real(1.0e-08)

static

Low precision epsilon static constant value.

◆ EPSILON_MEDIUM

Real const Sandals::EPSILON_MEDIUM = Real(1.0e-10)

static

Medium precision epsilon static constant value.

◆ IDENTITY_MAT1

Matrix1 const Sandals::IDENTITY_MAT1 = Matrix1::Identity()

static

Identity \( 1 \times 1 \) matrix static constant object.

◆ IDENTITY_MAT2

Matrix2 const Sandals::IDENTITY_MAT2 = Matrix2::Identity()

static

Identity \( 2 \times 2 \) matrix static constant object.

◆ IDENTITY_MAT3

Matrix3 const Sandals::IDENTITY_MAT3 = Matrix3::Identity()

static

Identity \( 3 \times 3 \) matrix static constant object.

◆ IDENTITY_MAT4

Matrix4 const Sandals::IDENTITY_MAT4 = Matrix4::Identity()

static

Identity \( 4 \times 4 \) matrix static constant object.

◆ IDENTITY_MAT5

Matrix5 const Sandals::IDENTITY_MAT5 = Matrix5::Identity()

static

Identity \( 5 \times 5 \) matrix static constant object.

◆ IDENTITY_MAT6

Matrix6 const Sandals::IDENTITY_MAT6 = Matrix6::Identity()

static

Identity \( 6 \times 6 \) matrix static constant object.

◆ IDENTITY_MAT7

Matrix7 const Sandals::IDENTITY_MAT7 = Matrix7::Identity()

static

Identity \( 7 \times 7 \) matrix static constant object.

◆ IDENTITY_MAT8

Matrix8 const Sandals::IDENTITY_MAT8 = Matrix8::Identity()

static

Identity \( 8 \times 8 \) matrix static constant object.

◆ IDENTITY_MAT9

Matrix9 const Sandals::IDENTITY_MAT9 = Matrix9::Identity()

static

Identity \( 9 \times 9 \) matrix static constant object.

◆ INFTY

Real const Sandals::INFTY = std::numeric_limits<Real>::infinity()

static

Infinity static constant value.

◆ NAN_MAT1

Matrix1 const Sandals::NAN_MAT1 = Matrix1::Constant(QUIET_NAN)

static

Not-a-number \( 1 \times 1 \) matrix static constant object.

◆ NAN_MAT2

Matrix2 const Sandals::NAN_MAT2 = Matrix2::Constant(QUIET_NAN)

static

Not-a-number \( 2 \times 2 \) matrix static constant object.

◆ NAN_MAT3

Matrix3 const Sandals::NAN_MAT3 = Matrix3::Constant(QUIET_NAN)

static

Not-a-number \( 3 \times 3 \) matrix static constant object.

◆ NAN_MAT4

Matrix4 const Sandals::NAN_MAT4 = Matrix4::Constant(QUIET_NAN)

static

Not-a-number \( 4 \times 4 \) matrix static constant object.

◆ NAN_MAT5

Matrix5 const Sandals::NAN_MAT5 = Matrix5::Constant(QUIET_NAN)

static

Not-a-number \( 5 \times 5 \) matrix static constant object.

◆ NAN_MAT6

Matrix6 const Sandals::NAN_MAT6 = Matrix6::Constant(QUIET_NAN)

static

Not-a-number \( 6 \times 6 \) matrix static constant object.

◆ NAN_MAT7

Matrix7 const Sandals::NAN_MAT7 = Matrix7::Constant(QUIET_NAN)

static

Not-a-number \( 7 \times 7 \) matrix static constant object.

◆ NAN_MAT8

Matrix8 const Sandals::NAN_MAT8 = Matrix8::Constant(QUIET_NAN)

static

Not-a-number \( 8 \times 8 \) matrix static constant object.

◆ NAN_MAT9

Matrix9 const Sandals::NAN_MAT9 = Matrix9::Constant(QUIET_NAN)

static

Not-a-number \( 9 \times 9 \) matrix static constant object.

◆ NAN_VEC1

Vector1 const Sandals::NAN_VEC1 = Vector1::Constant(QUIET_NAN)

static

Not-a-number \( 1 \times 1 \) vector static constant object.

◆ NAN_VEC2

Vector2 const Sandals::NAN_VEC2 = Vector2::Constant(QUIET_NAN)

static

Not-a-number \( 2 \times 1 \) vector static constant object.

◆ NAN_VEC3

Vector3 const Sandals::NAN_VEC3 = Vector3::Constant(QUIET_NAN)

static

Not-a-number \( 3 \times 1 \) vector static constant object.

◆ NAN_VEC4

Vector4 const Sandals::NAN_VEC4 = Vector4::Constant(QUIET_NAN)

static

Not-a-number \( 4 \times 1 \) vector static constant object.

◆ NAN_VEC5

Vector5 const Sandals::NAN_VEC5 = Vector5::Constant(QUIET_NAN)

static

Not-a-number \( 5 \times 1 \) vector static constant object.

◆ NAN_VEC6

Vector6 const Sandals::NAN_VEC6 = Vector6::Constant(QUIET_NAN)

static

Not-a-number \( 6 \times 1 \) vector static constant object.

◆ NAN_VEC7

Vector7 const Sandals::NAN_VEC7 = Vector7::Constant(QUIET_NAN)

static

Not-a-number \( 7 \times 1 \) vector static constant object.

◆ NAN_VEC8

Vector8 const Sandals::NAN_VEC8 = Vector8::Constant(QUIET_NAN)

static

Not-a-number \( 8 \times 1 \) vector static constant object.

◆ NAN_VEC9

Vector9 const Sandals::NAN_VEC9 = Vector9::Constant(QUIET_NAN)

static

Not-a-number \( 9 \times 1 \) vector static constant object.

◆ ONES_MAT1

Matrix1 const Sandals::ONES_MAT1 = Matrix1::Ones()

static

Ones \( 1 \times 1 \) matrix static constant object.

◆ ONES_MAT2

Matrix2 const Sandals::ONES_MAT2 = Matrix2::Ones()

static

Ones \( 2 \times 2 \) matrix static constant object.

◆ ONES_MAT3

Matrix3 const Sandals::ONES_MAT3 = Matrix3::Ones()

static

Ones \( 3 \times 3 \) matrix static constant object.

◆ ONES_MAT4

Matrix4 const Sandals::ONES_MAT4 = Matrix4::Ones()

static

Ones \( 4 \times 4 \) matrix static constant object.

◆ ONES_MAT5

Matrix5 const Sandals::ONES_MAT5 = Matrix5::Ones()

static

Ones \( 5 \times 5 \) matrix static constant object.

◆ ONES_MAT6

Matrix6 const Sandals::ONES_MAT6 = Matrix6::Ones()

static

Ones \( 6 \times 6 \) matrix static constant object.

◆ ONES_MAT7

Matrix7 const Sandals::ONES_MAT7 = Matrix7::Ones()

static

Ones \( 7 \times 7 \) matrix static constant object.

◆ ONES_MAT8

Matrix8 const Sandals::ONES_MAT8 = Matrix8::Ones()

static

Ones \( 8 \times 8 \) matrix static constant object.

◆ ONES_MAT9

Matrix9 const Sandals::ONES_MAT9 = Matrix9::Ones()

static

Ones \( 9 \times 9 \) matrix static constant object.

◆ ONES_VEC1

Vector1 const Sandals::ONES_VEC1 = Vector1::Ones()

static

Ones \( 1 \times 1 \) vector static constant object.

◆ ONES_VEC2

Vector2 const Sandals::ONES_VEC2 = Vector2::Ones()

static

Ones \( 2 \times 1 \) vector static constant object.

◆ ONES_VEC3

Vector3 const Sandals::ONES_VEC3 = Vector3::Ones()

static

Ones \( 3 \times 1 \) vector static constant object.

◆ ONES_VEC4

Vector4 const Sandals::ONES_VEC4 = Vector4::Ones()

static

Ones \( 4 \times 1 \) vector static constant object.

◆ ONES_VEC5

Vector5 const Sandals::ONES_VEC5 = Vector5::Ones()

static

Ones \( 5 \times 1 \) vector static constant object.

◆ ONES_VEC6

Vector6 const Sandals::ONES_VEC6 = Vector6::Ones()

static

Ones \( 6 \times 1 \) vector static constant object.

◆ ONES_VEC7

Vector7 const Sandals::ONES_VEC7 = Vector7::Ones()

static

Ones \( 7 \times 1 \) vector static constant object.

◆ ONES_VEC8

Vector8 const Sandals::ONES_VEC8 = Vector8::Ones()

static

Ones \( 8 \times 1 \) vector static constant object.

◆ ONES_VEC9

Vector9 const Sandals::ONES_VEC9 = Vector9::Ones()

static

Ones \( 9 \times 1 \) vector static constant object.

◆ PI

Real const Sandals::PI = Real(3.141592653589793238462643383279502884197)

static

Pi static constant value.

◆ PIDIV2

Real const Sandals::PIDIV2 = Real(1.570796326794896619231321691639751442098)

static

The value of \( \pi/2 \).

◆ PIMUL2

Real const Sandals::PIMUL2 = Real(6.283185307179586476925286766559005768394)

static

The value of \( 2\pi \).

◆ QUIET_NAN

Real const Sandals::QUIET_NAN = std::numeric_limits<Real>::quiet_NaN()

static

Not-a-number static constant value.

◆ RAD2DEG

Real const Sandals::RAD2DEG = Real(57.29577951308232087679815481410517033240)

static

The value of \( 180/\pi \).

◆ SQRT_EPSILON

Real const Sandals::SQRT_EPSILON = std::sqrt(EPSILON)

static

Square root of machine epsilon epsilon static constant value.

◆ ZEROS_MAT1

Matrix1 const Sandals::ZEROS_MAT1 = Matrix1::Zero()

static

Zeros \( 1 \times 1 \) matrix static constant object.

◆ ZEROS_MAT2

Matrix2 const Sandals::ZEROS_MAT2 = Matrix2::Zero()

static

Zeros \( 2 \times 2 \) matrix static constant object.

◆ ZEROS_MAT3

Matrix3 const Sandals::ZEROS_MAT3 = Matrix3::Zero()

static

Zeros \( 3 \times 3 \) matrix static constant object.

◆ ZEROS_MAT4

Matrix4 const Sandals::ZEROS_MAT4 = Matrix4::Zero()

static

Zeros \( 4 \times 4 \) matrix static constant object.

◆ ZEROS_MAT5

Matrix5 const Sandals::ZEROS_MAT5 = Matrix5::Zero()

static

Zeros \( 5 \times 5 \) matrix static constant object.

◆ ZEROS_MAT6

Matrix6 const Sandals::ZEROS_MAT6 = Matrix6::Zero()

static

Zeros \( 6 \times 6 \) matrix static constant object.

◆ ZEROS_MAT7

Matrix7 const Sandals::ZEROS_MAT7 = Matrix7::Zero()

static

Zeros \( 7 \times 7 \) matrix static constant object.

◆ ZEROS_MAT8

Matrix8 const Sandals::ZEROS_MAT8 = Matrix8::Zero()

static

Zeros \( 8 \times 8 \) matrix static constant object.

◆ ZEROS_MAT9

Matrix9 const Sandals::ZEROS_MAT9 = Matrix9::Zero()

static

Zeros \( 9 \times 9 \) matrix static constant object.

◆ ZEROS_VEC1

Vector1 const Sandals::ZEROS_VEC1 = Vector1::Zero()

static

Zeros \( 1 \times 1 \) vector static constant object.

◆ ZEROS_VEC2

Vector2 const Sandals::ZEROS_VEC2 = Vector2::Zero()

static

Zeros \( 2 \times 1 \) vector static constant object.

◆ ZEROS_VEC3

Vector3 const Sandals::ZEROS_VEC3 = Vector3::Zero()

static

Zeros \( 3 \times 1 \) vector static constant object.

◆ ZEROS_VEC4

Vector4 const Sandals::ZEROS_VEC4 = Vector4::Zero()

static

Zeros \( 4 \times 1 \) vector static constant object.

◆ ZEROS_VEC5

Vector5 const Sandals::ZEROS_VEC5 = Vector5::Zero()

static

Zeros \( 5 \times 1 \) vector static constant object.

◆ ZEROS_VEC6

Vector6 const Sandals::ZEROS_VEC6 = Vector6::Zero()

static

Zeros \( 6 \times 1 \) vector static constant object.

◆ ZEROS_VEC7

Vector7 const Sandals::ZEROS_VEC7 = Vector7::Zero()

static

Zeros \( 7 \times 1 \) vector static constant object.

◆ ZEROS_VEC8

Vector8 const Sandals::ZEROS_VEC8 = Vector8::Zero()

static

Zeros \( 8 \times 1 \) vector static constant object.

◆ ZEROS_VEC9

Vector9 const Sandals::ZEROS_VEC9 = Vector9::Zero()

static

Zeros \( 9 \times 1 \) vector static constant object.

Classes

Typedefs

Functions

Variables

Detailed Description

Typedef Documentation

◆ Integer

◆ Matrix0

◆ Matrix1

◆ Matrix2

◆ Matrix3

◆ Matrix4

◆ Matrix5

◆ Matrix6

◆ Matrix7

◆ Matrix8

◆ Matrix9

◆ MatrixX

◆ Real

◆ Vector0

◆ Vector1

◆ Vector2

◆ Vector3

◆ Vector4

◆ Vector5

◆ Vector6

◆ Vector7

◆ Vector8

◆ Vector9

◆ VectorX

Function Documentation

◆ Info() [1/2]

◆ Info() [2/2]

Variable Documentation

◆ CBRT_EPSILON

◆ DEG2RAD

◆ EPSILON

◆ EPSILON_HIGH

◆ EPSILON_LOW

◆ EPSILON_MEDIUM

◆ IDENTITY_MAT1

◆ IDENTITY_MAT2

◆ IDENTITY_MAT3

◆ IDENTITY_MAT4

◆ IDENTITY_MAT5

◆ IDENTITY_MAT6

◆ IDENTITY_MAT7

◆ IDENTITY_MAT8

◆ IDENTITY_MAT9

◆ INFTY

◆ NAN_MAT1

◆ NAN_MAT2

◆ NAN_MAT3

◆ NAN_MAT4

◆ NAN_MAT5

◆ NAN_MAT6

◆ NAN_MAT7

◆ NAN_MAT8

◆ NAN_MAT9

◆ NAN_VEC1

◆ NAN_VEC2

◆ NAN_VEC3

◆ NAN_VEC4

◆ NAN_VEC5

◆ NAN_VEC6

◆ NAN_VEC7

◆ NAN_VEC8

◆ NAN_VEC9

◆ ONES_MAT1

◆ ONES_MAT2

◆ ONES_MAT3

◆ ONES_MAT4

◆ ONES_MAT5

◆ ONES_MAT6

◆ ONES_MAT7

◆ ONES_MAT8

◆ ONES_MAT9

◆ ONES_VEC1

◆ ONES_VEC2

◆ ONES_VEC3