bertini::LinearSlice Class Reference

Slice an affine or projective space with a LinearSlice today! More...

#include <slice.hpp>

Inheritance diagram for bertini::LinearSlice:

Collaboration diagram for bertini::LinearSlice:

Public Member Functions
unsigned	Dimension () const
	Get the dimension of the slice.
template<typename NumT>
void	Eval (Vec< NumT > &result, Vec< NumT > const &x) const
	Evaluate the function values of the LinearSlice, in-place.
template<typename NumT>
Vec< NumT >	Eval (Vec< NumT > const &x) const
	Evaluate the function values of the LinearSlice.
template<typename NumT>
void	Jacobian (Mat< NumT > &result, Mat< NumT > const &x) const
	Evaluate the Jacobian of the LinearSlice, in-place.
template<typename NumT>
Mat< NumT >	Jacobian (Mat< NumT > const &x) const
	Evaluate the Jacobian of the LinearSlice.
	LinearSlice ()
	the default constructor for linear slices.
	LinearSlice (VariableGroup const &v, unsigned dim, bool homogeneous)
	the constructor for linear slices.
unsigned	NumVariables () const
	Get the number of variables sliced.
unsigned	Precision () const
	Get the current precision of the slice.
void	Precision (unsigned new_precision) const
	Set the precision of the slice.

Static Public Member Functions
static LinearSlice	Make (VariableGroup const &v, unsigned dim, bool homogeneous, bool orthogonal, std::function< void(mpfr_complex &, unsigned)> gen)
	factory function for generating slices
static LinearSlice	RandomComplex (VariableGroup const &v, unsigned dim, bool homogeneous=false, bool orthogonal=true)
	Generate a random complex slice.
static LinearSlice	RandomReal (VariableGroup const &v, unsigned dim, bool homogeneous=false, bool orthogonal=true)

Friends
std::ostream &	operator<< (std::ostream &out, LinearSlice const &s)
	Provides output streaming for LinearSlice.

Detailed Description

Slice an affine or projective space with a LinearSlice today!

Constructor & Destructor Documentation

LinearSlice() [1/2]

bertini::LinearSlice::LinearSlice ( )

inline

the default constructor for linear slices.

Make an empty linear slice.

Here is the call graph for this function:

Here is the caller graph for this function:

LinearSlice() [2/2]

bertini::LinearSlice::LinearSlice ( VariableGroup const & v, unsigned dim, bool homogeneous )

inline

the constructor for linear slices.

Here is the call graph for this function:

Member Function Documentation

Dimension()

unsigned bertini::LinearSlice::Dimension ( ) const

inline

Get the dimension of the slice.

Here is the caller graph for this function:

Eval() [1/2]

template<typename NumT>

void bertini::LinearSlice::Eval ( Vec< NumT > & result, Vec< NumT > const & x ) const

inline

Evaluate the function values of the LinearSlice, in-place.

Eval() [2/2]

template<typename NumT>

Vec< NumT > bertini::LinearSlice::Eval ( Vec< NumT > const & x ) const

inline

Evaluate the function values of the LinearSlice.

Jacobian() [1/2]

template<typename NumT>

void bertini::LinearSlice::Jacobian ( Mat< NumT > & result, Mat< NumT > const & x ) const

inline

Evaluate the Jacobian of the LinearSlice, in-place.

Jacobian() [2/2]

template<typename NumT>

Mat< NumT > bertini::LinearSlice::Jacobian ( Mat< NumT > const & x ) const

inline

Evaluate the Jacobian of the LinearSlice.

Make()

static LinearSlice bertini::LinearSlice::Make ( VariableGroup const & v, unsigned dim, bool homogeneous, bool orthogonal, std::function< void(mpfr_complex &, unsigned)> gen )

inlinestatic

factory function for generating slices

Here is the call graph for this function:

Here is the caller graph for this function:

NumVariables()

unsigned bertini::LinearSlice::NumVariables ( ) const

inline

Get the number of variables sliced.

Here is the caller graph for this function:

Precision() [1/2]

unsigned bertini::LinearSlice::Precision ( ) const

inline

Get the current precision of the slice.

Returns

The current precision, in digits.

Precision() [2/2]

void bertini::LinearSlice::Precision ( unsigned new_precision ) const

inline

Set the precision of the slice.

Copies the slice coefficients into correct precision for subsequent precision.

Parameters

new_precision

The precision to change to.

Here is the call graph for this function:

RandomComplex()

static LinearSlice bertini::LinearSlice::RandomComplex ( VariableGroup const & v, unsigned dim, bool homogeneous = false, bool orthogonal = true )

inlinestatic

Generate a random complex slice.

Here is the call graph for this function:

RandomReal()

static LinearSlice bertini::LinearSlice::RandomReal ( VariableGroup const & v, unsigned dim, bool homogeneous = false, bool orthogonal = true )

inlinestatic

Produce a random real slice on a variable group, slicing a given number of dimensions.

Here is the call graph for this function:

Friends And Related Symbol Documentation

operator<<

std::ostream & operator<< ( std::ostream & out, LinearSlice const & s )

friend

Provides output streaming for LinearSlice.

---

The documentation for this class was generated from the following file:

• slice.hpp