VectorBase< R > Class Template Reference

Dense vector. More...

#include <vectorbase.h>

Public Member Functions
bool	isConsistent () const
	Consistency check. More...
Rational	operator* (const VectorBase< Rational > &vec) const
	Inner product. More...
Construction and assignment
	VectorBase ()
	Constructor. More...
	VectorBase (int dimen, R *p_val)
	VectorBase (int p_dimen)
template<typename S >
	VectorBase (const VectorBase< S > &vec)
	VectorBase (const VectorBase< R > &&vec) noexcept
	VectorBase (const VectorBase< R > &vec)
template<class S >
VectorBase< R > &	operator= (const VectorBase< S > &vec)
	Assignment operator. More...
VectorBase< R > &	operator= (const VectorBase< R > &vec)
	Assignment operator. More...
VectorBase< R > &	operator= (const VectorBase< R > &&vec)
	Move assignment operator. More...
VectorBase< R > &	scaleAssign (int scaleExp, const VectorBase< R > &vec)
	scale and assign More...
VectorBase< R > &	scaleAssign (const int *scaleExp, const VectorBase< R > &vec, bool negateExp=false)
	scale and assign More...
template<class S >
VectorBase< R > &	operator= (const SVectorBase< S > &vec)
	Assignment operator. More...
template<class S >
VectorBase< R > &	operator= (const SSVectorBase< S > &vec)
	Assignment operator. More...
template<class S >
VectorBase< R > &	assign (const SVectorBase< S > &vec)
	Assign values of vec. More...
template<class S >
VectorBase< R > &	assign (const SSVectorBase< S > &vec)
	Assign values of vec. More...
Arithmetic operations
void	clear ()
	Set vector to contain all-zeros (keeping the same length) More...
template<class S >
VectorBase< R > &	operator+= (const VectorBase< S > &vec)
	Addition. More...
template<class S >
VectorBase< R > &	operator+= (const SVectorBase< S > &vec)
	Addition. More...
template<class S >
VectorBase< R > &	operator+= (const SSVectorBase< S > &vec)
	Addition. More...
template<class S >
VectorBase< R > &	operator-= (const VectorBase< S > &vec)
	Subtraction. More...
template<class S >
VectorBase< R > &	operator-= (const SVectorBase< S > &vec)
	Subtraction. More...
template<class S >
VectorBase< R > &	operator-= (const SSVectorBase< S > &vec)
	Subtraction. More...
template<class S >
VectorBase< R > &	operator*= (const S &x)
	Scaling. More...
template<class S >
VectorBase< R > &	operator/= (const S &x)
	Division. More...
R	operator* (const VectorBase< R > &vec) const
	Inner product. More...
R	operator* (const SVectorBase< R > &vec) const
	Inner product. More...
R	operator* (const SSVectorBase< R > &vec) const
	Inner product. More...
R	maxAbs () const
	Maximum absolute value, i.e., infinity norm. More...
R	minAbs () const
	Minimum absolute value. More...
R	length () const
	Floating point approximation of euclidian norm (without any approximation guarantee). More...
R	length2 () const
	Squared norm. More...
template<class S , class T >
VectorBase< R > &	multAdd (const S &x, const VectorBase< T > &vec)
	Addition of scaled vector. More...
template<class S , class T >
VectorBase< R > &	multAdd (const S &x, const SVectorBase< T > &vec)
	Addition of scaled vector. More...
template<class S , class T >
VectorBase< R > &	multSub (const S &x, const SVectorBase< T > &vec)
	Subtraction of scaled vector. More...
template<class S , class T >
VectorBase< R > &	multAdd (const S &x, const SSVectorBase< T > &vec)
	Addition of scaled vector. More...

Protected Attributes
Data
std::vector< R >	val
	Values of vector. More...

Friends
template<typename S >
class	VectorBase

Access
bool	operator== (const VectorBase< R > &vec1, const VectorBase< R > &vec2)
	Equality operator. More...
int	dim () const
	Dimension of vector. More...
R &	operator[] (int n)
	Return n 'th value by reference. More...
const R &	operator[] (int n) const
	Return n 'th value. More...
const std::vector< R > &	vec ()
	Return underlying std::vector. More...

Utilities
VectorBase< R >	operator- (const VectorBase< R > &vec)
R *	get_ptr ()
	Conversion to C-style pointer. More...
const R *	get_const_ptr () const
	Conversion to C-style pointer. More...
std::vector< R >::const_iterator	begin () const
std::vector< R >::iterator	begin ()
std::vector< R >::const_iterator	end () const
std::vector< R >::iterator	end ()
int	memSize () const
void	reDim (int newdim, const bool setZero=true)
	Resets VectorBase's dimension to newdim. More...
void	reSize (int newsize)
	Resets VectorBase's memory size to newsize. More...
const VectorBase< R >	operator- (const VectorBase< R > &vec) const
const VectorBase< R >	operator+ (const VectorBase< R > &v) const

Detailed Description

template<class R>
class soplex::VectorBase< R >

Dense vector.

Class VectorBase provides dense linear algebra vectors. Internally, VectorBase wraps std::vector.

After construction, the values of a VectorBase can be accessed with the subscript operator[](). Safety is provided by qchecking of array bound when accessing elements with the subscript operator[]() (only when compiled without -DNDEBUG).

A VectorBase is distinguished from a simple array of Reals or Rationals by providing a set of mathematical operations.

The following mathematical operations are provided by class VectorBase (VectorBase a, b; R x):

Operation	Description
-=	subtraction	a -= b
+=	addition	a += b
*	scalar product	x = a * b
*=	scaling	a *= x
maxAbs()	infinity norm	a.maxAbs() == \(\|a\|_{\infty}\)
minAbs()		a.minAbs() == \(\min |a_i|\)
length()	euclidian norm	a.length() == \(\sqrt{a^2}\)
length2()	square norm	a.length2() == \(a^2\)
multAdd(x,b)	add scaled vector	a += x * b

When using any of these operations, the vectors involved must be of the same dimension. Also an SVectorBase b is allowed if it does not contain nonzeros with index greater than the dimension of a.q

Definition at line 85 of file vectorbase.h.

Constructor & Destructor Documentation

VectorBase() [1/6]

VectorBase

(

)

Constructor.

There is no default constructor since the storage for a VectorBase must be provided externally. Storage must be passed as a memory block val at construction. It must be large enough to fit at least dimen values.

Definition at line 117 of file vectorbase.h.

VectorBase() [2/6]

VectorBase	(	int	dimen,
		R *	p_val
	)

Definition at line 124 of file vectorbase.h.

References VectorBase< R >::val.

VectorBase() [3/6]

VectorBase ( int  p_dimen )

explicit

Definition at line 130 of file vectorbase.h.

References VectorBase< R >::val.

VectorBase() [4/6]

VectorBase

(

const VectorBase< S > &

vec

)

Definition at line 138 of file vectorbase.h.

References VectorBase< R >::operator=().

VectorBase() [5/6]

VectorBase ( const VectorBase< R > &&  vec )

noexcept

Definition at line 144 of file vectorbase.h.

VectorBase() [6/6]

VectorBase

(

const VectorBase< R > &

vec

)

Definition at line 149 of file vectorbase.h.

Member Function Documentation

assign() [1/2]

VectorBase< R > & assign

(

const SSVectorBase< S > &

vec

)

Assign values of vec.

Assigns all nonzeros of vec to the vector. All other values remain unchanged.

Definition at line 126 of file basevectors.h.

References SSVectorBase< R >::dim(), SSVectorBase< R >::indexMem(), SSVectorBase< R >::isSetup(), SSVectorBase< R >::size(), and VectorBase< R >::val.

assign() [2/2]

VectorBase< R > & assign

(

const SVectorBase< S > &

vec

)

Assign values of vec.

Assigns all nonzeros of vec to the vector. All other values remain unchanged.

Definition at line 86 of file basevectors.h.

References SVectorBase< R >::index(), SVectorBase< R >::size(), and SVectorBase< R >::value().

begin() [1/2]

std::vector< R >::iterator begin

(

)

Definition at line 514 of file vectorbase.h.

References VectorBase< R >::val.

begin() [2/2]

std::vector< R >::const_iterator begin

(

)

const

Definition at line 509 of file vectorbase.h.

References VectorBase< R >::val.

clear()

void clear

(

)

Set vector to contain all-zeros (keeping the same length)

Definition at line 308 of file vectorbase.h.

References VectorBase< R >::val.

Referenced by SSVectorBase< R >::clear(), UpdateVector< R >::clear(), SPxBasisBase< R >::coSolve(), SLUFactorRational::operator=(), SPxBasisBase< R >::solve(), and SSVectorBase< R >::SSVectorBase().

dim()

int dim

(

)

const

Dimension of vector.

Definition at line 270 of file vectorbase.h.

References VectorBase< R >::val.

Referenced by SPxLPBase< R >::addDualActivity(), SPxLPBase< R >::addPrimalActivity(), SPxLPBase< R >::changeLhs(), SPxLPBase< R >::changeLower(), SPxLPBase< R >::changeMaxObj(), SPxLPBase< R >::changeRhs(), SPxLPBase< R >::changeRowObj(), SPxLPBase< R >::changeUpper(), SPxBasisBase< R >::coSolve(), SSVectorBase< R >::dim(), DSVectorBase< R >::DSVectorBase(), VectorBase< R >::maxAbs(), VectorBase< R >::minAbs(), VectorBase< R >::multAdd(), VectorBase< R >::operator*(), VectorBase< R >::operator*=(), VectorBase< R >::operator+(), VectorBase< R >::operator+=(), soplex::operator-(), VectorBase< R >::operator-(), VectorBase< R >::operator-=(), VectorBase< R >::operator/=(), soplex::operator<<(), DSVectorBase< R >::operator=(), SVectorBase< R >::operator=(), soplex::operator>>(), VectorBase< R >::operator[](), VectorBase< R >::reDim(), VectorBase< R >::scaleAssign(), SLUFactorRational::SLUFactorRational(), SPxBasisBase< R >::solve(), and SPxLPBase< R >::subDualActivity().

end() [1/2]

std::vector< R >::iterator end

(

)

Definition at line 525 of file vectorbase.h.

References VectorBase< R >::val.

end() [2/2]

std::vector< R >::const_iterator end

(

)

const

Definition at line 520 of file vectorbase.h.

References VectorBase< R >::val.

get_const_ptr()

const R * get_const_ptr

(

)

const

Conversion to C-style pointer.

This function serves for using a VectorBase in an C-style function. It returns a pointer to the first value of the array.

Definition at line 503 of file vectorbase.h.

References VectorBase< R >::val.

get_ptr()

R * get_ptr

(

)

Conversion to C-style pointer.

This function serves for using a VectorBase in an C-style function. It returns a pointer to the first value of the array.

Todo:

check whether this non-const c-style access should indeed be public

Definition at line 494 of file vectorbase.h.

References VectorBase< R >::val.

Referenced by SSVectorBase< R >::get_ptr(), and SLUFactorRational::SLUFactorRational().

isConsistent()

bool isConsistent

(

)

const

Consistency check.

Definition at line 622 of file vectorbase.h.

Referenced by SSVectorBase< R >::isConsistent().

length()

R length

(

)

const

Floating point approximation of euclidian norm (without any approximation guarantee).

Definition at line 445 of file vectorbase.h.

References VectorBase< R >::length2(), and soplex::spxSqrt().

length2()

R length2

(

)

const

Squared norm.

Definition at line 451 of file vectorbase.h.

Referenced by VectorBase< R >::length(), and SSVectorBase< R >::length2().

maxAbs()

R maxAbs

(

)

const

Maximum absolute value, i.e., infinity norm.

Definition at line 405 of file vectorbase.h.

References VectorBase< R >::dim(), soplex::spxAbs(), and VectorBase< R >::val.

Referenced by SSVectorBase< R >::maxAbs().

memSize()

int memSize

(

)

const

Definition at line 535 of file vectorbase.h.

References VectorBase< R >::val.

minAbs()

R minAbs

(

)

const

Minimum absolute value.

Definition at line 425 of file vectorbase.h.

References VectorBase< R >::dim(), soplex::spxAbs(), and VectorBase< R >::val.

multAdd() [1/3]

VectorBase< R > & multAdd	(	const S &	x,
		const SSVectorBase< T > &	vec
	)

Addition of scaled vector.

Definition at line 314 of file basevectors.h.

References SSVectorBase< R >::dim(), SSVectorBase< R >::indexMem(), SSVectorBase< R >::isSetup(), and SSVectorBase< R >::size().

multAdd() [2/3]

VectorBase< R > & multAdd	(	const S &	x,
		const SVectorBase< T > &	vec
	)

Addition of scaled vector.

Definition at line 280 of file basevectors.h.

References SVectorBase< R >::index(), SVectorBase< R >::size(), and SVectorBase< R >::value().

multAdd() [3/3]

VectorBase< R > & multAdd	(	const S &	x,
		const VectorBase< T > &	vec
	)

Addition of scaled vector.

Definition at line 458 of file vectorbase.h.

References VectorBase< R >::dim(), VectorBase< R >::val, and VectorBase< R >::vec().

Referenced by SPxLPBase< R >::addDualActivity(), SPxLPBase< R >::addPrimalActivity(), SSVectorBase< R >::multAdd(), and UpdateVector< R >::update().

multSub()

VectorBase< R > & multSub	(	const S &	x,
		const SVectorBase< T > &	vec
	)

Subtraction of scaled vector.

Definition at line 297 of file basevectors.h.

References SVectorBase< R >::index(), SVectorBase< R >::size(), and SVectorBase< R >::value().

Referenced by SPxLPBase< R >::subDualActivity().

operator*() [1/4]

R operator*

(

const SSVectorBase< R > &

vec

)

const

Inner product.

Definition at line 252 of file basevectors.h.

References SSVectorBase< R >::dim().

operator*() [2/4]

R operator*

(

const SVectorBase< R > &

vec

)

const

Inner product.

Definition at line 235 of file basevectors.h.

References SVectorBase< R >::dim(), SVectorBase< R >::index(), SVectorBase< R >::size(), and SVectorBase< R >::value().

operator*() [3/4]

R operator*

(

const VectorBase< R > &

vec

)

const

Inner product.

Definition at line 386 of file vectorbase.h.

References VectorBase< R >::dim(), VectorBase< R >::val, and VectorBase< R >::vec().

operator*() [4/4]

Rational operator*

(

const VectorBase< Rational > &

vec

)

const

Inner product.

Definition at line 632 of file vectorbase.h.

References VectorBase< R >::dim(), and VectorBase< R >::val.

operator*=()

VectorBase< R > & operator*=

(

const S &

x

)

Scaling.

Definition at line 360 of file vectorbase.h.

References VectorBase< R >::dim(), and VectorBase< R >::val.

operator+()

const VectorBase< R > operator+

(

const VectorBase< R > &

v

)

const

Definition at line 588 of file vectorbase.h.

References VectorBase< R >::dim(), and VectorBase< R >::val.

operator+=() [1/3]

VectorBase< R > & operator+=

(

const SSVectorBase< S > &

vec

)

Addition.

Definition at line 170 of file basevectors.h.

References SSVectorBase< R >::dim(), SSVectorBase< R >::index(), SSVectorBase< R >::isSetup(), SSVectorBase< R >::size(), and SSVectorBase< R >::value().

operator+=() [2/3]

VectorBase< R > & operator+=

(

const SVectorBase< S > &

vec

)

Addition.

Definition at line 152 of file basevectors.h.

operator+=() [3/3]

VectorBase< R > & operator+=

(

const VectorBase< S > &

vec

)

Addition.

Definition at line 316 of file vectorbase.h.

References VectorBase< R >::dim(), VectorBase< R >::val, and VectorBase< R >::vec().

Referenced by SSVectorBase< R >::operator+=().

operator-()

const VectorBase< R > operator-

(

const VectorBase< R > &

vec

)

const

Definition at line 571 of file vectorbase.h.

References VectorBase< R >::dim(), VectorBase< R >::val, and VectorBase< R >::vec().

operator-=() [1/3]

VectorBase< R > & operator-=

(

const SSVectorBase< S > &

vec

)

Subtraction.

Definition at line 212 of file basevectors.h.

References SSVectorBase< R >::dim(), SSVectorBase< R >::index(), SSVectorBase< R >::isSetup(), SSVectorBase< R >::size(), and SSVectorBase< R >::value().

operator-=() [2/3]

VectorBase< R > & operator-=

(

const SVectorBase< S > &

vec

)

Subtraction.

Definition at line 194 of file basevectors.h.

References SVectorBase< R >::index(), SVectorBase< R >::size(), and SVectorBase< R >::value().

operator-=() [3/3]

VectorBase< R > & operator-=

(

const VectorBase< S > &

vec

)

Subtraction.

Definition at line 338 of file vectorbase.h.

References VectorBase< R >::dim(), VectorBase< R >::val, and VectorBase< R >::vec().

Referenced by SSVectorBase< R >::operator-=().

operator/=()

VectorBase< R > & operator/=

(

const S &

x

)

Division.

Definition at line 373 of file vectorbase.h.

References VectorBase< R >::dim(), and VectorBase< R >::val.

operator=() [1/5]

VectorBase< R > & operator=

(

const SSVectorBase< S > &

vec

)

Assignment operator.

Assigning an SSVectorBase to a VectorBase using operator=() will set all values to 0 except the nonzeros of vec. This is diffent in method assign().

Todo:

do we need this also in non-template version, because SSVectorBase can be automatically cast to VectorBase?

Assigning an SSVectorBase to a VectorBase using operator=() will set all values to 0 except the nonzeros of vec. This is different in method assign().

Definition at line 106 of file basevectors.h.

References SSVectorBase< R >::isSetup().

operator=() [2/5]

VectorBase< R > & operator=

(

const SVectorBase< S > &

vec

)

Assignment operator.

Assigning an SVectorBase to a VectorBase using operator=() will set all values to 0 except the nonzeros of vec. This is diffent in method assign().

Assigning an SVectorBase to a VectorBase using operator=() will set all values to 0 except the nonzeros of vec. This is different in method assign().

Definition at line 66 of file basevectors.h.

References SVectorBase< R >::index(), SVectorBase< R >::size(), and SVectorBase< R >::value().

operator=() [3/5]

VectorBase< R > & operator=

(

const VectorBase< R > &&

vec

)

Move assignment operator.

Definition at line 187 of file vectorbase.h.

References VectorBase< R >::val, and VectorBase< R >::vec().

operator=() [4/5]

VectorBase< R > & operator=

(

const VectorBase< R > &

vec

)

Assignment operator.

Definition at line 174 of file vectorbase.h.

References VectorBase< R >::val, and VectorBase< R >::vec().

operator=() [5/5]

VectorBase< R > & operator=

(

const VectorBase< S > &

vec

)

Assignment operator.

Definition at line 157 of file vectorbase.h.

References VectorBase< R >::val, and VectorBase< R >::vec().

Referenced by UpdateVector< R >::operator=(), SSVectorBase< R >::operator=(), and VectorBase< R >::VectorBase().

operator[]() [1/2]

R & operator[]

(

int

n

)

Return n 'th value by reference.

Definition at line 276 of file vectorbase.h.

References VectorBase< R >::dim(), and VectorBase< R >::val.

operator[]() [2/2]

const R & operator[]

(

int

n

)

const

Return n 'th value.

Definition at line 283 of file vectorbase.h.

References VectorBase< R >::dim(), and VectorBase< R >::val.

reDim()

void reDim	(	int	newdim,
		const bool	setZero = true
	)

Resets VectorBase's dimension to newdim.

Definition at line 541 of file vectorbase.h.

References VectorBase< R >::dim(), and VectorBase< R >::val.

Referenced by SSVectorBase< R >::operator=(), soplex::operator>>(), SSVectorBase< R >::reDim(), UpdateVector< R >::reDim(), SSVectorBase< R >::setup_and_assign(), and SLUFactorRational::SLUFactorRational().

reSize()

void reSize

(

int

newsize

)

Resets VectorBase's memory size to newsize.

Definition at line 560 of file vectorbase.h.

References VectorBase< R >::val.

Referenced by SSVectorBase< R >::reMem().

scaleAssign() [1/2]

VectorBase< R > & scaleAssign	(	const int *	scaleExp,
		const VectorBase< R > &	vec,
		bool	negateExp = false
	)

scale and assign

Definition at line 211 of file vectorbase.h.

References VectorBase< R >::dim(), soplex::spxLdexp(), VectorBase< R >::val, and VectorBase< R >::vec().

scaleAssign() [2/2]

VectorBase< R > & scaleAssign	(	int	scaleExp,
		const VectorBase< R > &	vec
	)

scale and assign

Definition at line 194 of file vectorbase.h.

References VectorBase< R >::dim(), soplex::spxLdexp(), VectorBase< R >::val, and VectorBase< R >::vec().

vec()

const std::vector< R > & vec

(

)

Return underlying std::vector.

Definition at line 296 of file vectorbase.h.

References VectorBase< R >::val.

Referenced by VectorBase< R >::multAdd(), SSVectorBase< R >::multAdd(), VectorBase< R >::operator*(), SSVectorBase< R >::operator+=(), VectorBase< R >::operator+=(), VectorBase< R >::operator-(), SSVectorBase< R >::operator-=(), VectorBase< R >::operator-=(), VectorBase< R >::operator=(), VectorBase< R >::scaleAssign(), and SSVectorBase< R >::SSVectorBase().

Friends And Related Function Documentation

operator-

VectorBase< R > operator- ( const VectorBase< R > &  vec )

friend

Definition at line 605 of file vectorbase.h.

operator==

bool operator== ( const VectorBase< R > &  vec1, const VectorBase< R > &  vec2  )

friend

Equality operator.

Definition at line 290 of file vectorbase.h.

VectorBase

friend class VectorBase

friend

Definition at line 91 of file vectorbase.h.

Member Data Documentation

val

std::vector<R> val

protected

Values of vector.

Definition at line 101 of file vectorbase.h.

Referenced by VectorBase< R >::assign(), VectorBase< Rational >::assign(), SSVectorBase< R >::assign2product1(), SSVectorBase< R >::assign2productAndSetup(), SSVectorBase< R >::assign2productFull(), SSVectorBase< R >::assign2productShort(), VectorBase< R >::begin(), VectorBase< R >::clear(), VectorBase< R >::dim(), VectorBase< R >::end(), VectorBase< R >::get_const_ptr(), VectorBase< R >::get_ptr(), VectorBase< R >::maxAbs(), VectorBase< R >::memSize(), VectorBase< R >::minAbs(), VectorBase< Rational >::multAdd(), VectorBase< R >::multAdd(), SSVectorBase< R >::operator*(), VectorBase< R >::operator*(), VectorBase< R >::operator*=(), VectorBase< R >::operator+(), VectorBase< R >::operator+=(), VectorBase< R >::operator-(), VectorBase< R >::operator-=(), VectorBase< R >::operator/=(), SSVectorBase< R >::operator=(), VectorBase< R >::operator=(), VectorBase< R >::operator[](), VectorBase< R >::reDim(), VectorBase< R >::reSize(), VectorBase< R >::scaleAssign(), SSVectorBase< R >::setup_and_assign(), VectorBase< R >::vec(), and VectorBase< R >::VectorBase().