MQuadExpr::MQuadExpr()

Construct a MQuadExpr object with the given shape and a constant.

Synopsis

MQuadExpr(const Shape<N> &shp, double constant)

Arguments

shp: shape of MQuadExpr.

constant: constant number.

MQuadExpr::MQuadExpr()

Construct a MQuadExpr object with the given shape and a quadratic expression.

Synopsis

MQuadExpr(const Shape<N> &shp, const QuadExpr &expr)

Arguments

shp: shape of MQuadExpr.

expr: a quadratic expression.

MQuadExpr::MQuadExpr()

Construct a MQuadExpr object with the given shape and a MQExpression object.

Synopsis

MQuadExpr(const Shape<N> &shp, const MQExpression &expr)

Arguments

shp: shape of MQuadExpr.

expr: a MQExpression object.

MQuadExpr::AddConstant()

Add constant to each quadratic expression in MQuadExpr object.

Synopsis

void AddConstant(double constant)

Arguments

constant: the value of the constant.

MQuadExpr::AddConstant()

Add constants to each quadratic expression in MQuadExpr object.

Synopsis

template <class T> void AddConstant(const NdArray<T, N> &constants)

Arguments

constants: N-dimension NdArray object.

MQuadExpr::AddExpr()

Add a linear expression to each quadratic expression in MQuadExpr object.

Synopsis

void AddExpr(const Expr &expr, double mult)

Arguments

expr: linear expression object.

mult: the multiplier of linear expression, default value is 1.0.

MQuadExpr::AddMExpr()

Add MExpression to each quadratic expression in MQuadExpr object.

Synopsis

void AddMExpr(const MExpression &expr, double mult)

Arguments

expr: MExpression object.

mult: the multiplier of MExpression, default value is 1.0.

MQuadExpr::AddMLinExpr()

Add linear expressions to MQuadExpr object.

Synopsis

void AddMLinExpr(const MLinExpr<N> &exprs, double mult)

Arguments

exprs: N-dimension MLinExpr object.

mult: the same multiplier for added linear expressions, default value is 1.0.

MQuadExpr::AddMQExpr()

Add MQExpression to each quadratic expression in MQuadExpr object.

Synopsis

void AddMQExpr(const MQExpression &expr, double mult)

Arguments

expr: MQExpression object.

mult: the multiplier of MQExpression, default value is 1.0.

MQuadExpr::AddMQuadExpr()

Add quadratic expressions to MQuadExpr object.

Synopsis

void AddMQuadExpr(const MQuadExpr<N> &exprs, double mult)

Arguments

exprs: N-dimension MQuadExpr object.

mult: the same multiplier for added quadratic expressions, default value is 1.0.

MQuadExpr::AddQuadExpr()

Add a quadratic expression to each quadratic expression in MQuadExpr object.

Synopsis

void AddQuadExpr(const QuadExpr &expr, double mult)

Arguments

expr: quadratic expression object.

mult: the multiplier of quadratic expression, default value is 1.0.

MQuadExpr::AddTerm()

Add a linear term to MQuadExpr object.

Synopsis

void AddTerm(const Var &var, double coeff)

Arguments

var: variable of new term.

coeff: coefficient of new term.

MQuadExpr::AddTerm()

Add a quadratic term to MQuadExpr object.

Synopsis

void AddTerm(

const Var &var1,

const Var &var2,

double coeff)

Arguments

var1: first variable of new quadratic term.

var2: second variable of new quadratic term.

coeff: coefficient of new quadratic term.

MQuadExpr::AddTerms()

Add terms to quadratic expressions in MQuadExpr object.

Synopsis

void AddTerms(const MVar<N> &vars, double mult)

Arguments

vars: N-dimension MVar object for added terms.

mult: the same coefficient for added terms, default value 1.0.

MQuadExpr::AddTerms()

Add terms to quadratic expressions in MQuadExpr object.

Synopsis

void AddTerms(const MVar<N> &vars, const NdArray<double, N> &coeffs)

Arguments

vars: N-dimension MVar object for added terms.

coeffs: N-dimension NdArray object of coefficients for added terms.

MQuadExpr::Clear()

Clear MQuadExpr object.

Synopsis

void Clear()

MQuadExpr::Clone()

Clone MQuadExpr object.

Synopsis

MQuadExpr Clone()

Return

new MQuadExpr object.

MQuadExpr::Diagonal()

Get diagonals of MQuadExpr object.

Synopsis

MQuadExpr<N - 1> Diagonal(

int offset,

int axis1,

int axis2)

Arguments

offset: offset of the diagonal from the main diagonal. Can be positive or negative.

axis1: 1st axis of MQuadExpr.

axis2: 2nd axis of MQuadExpr.

Return

(N-1)-dimensional diagonals.

MQuadExpr::Expand()

Expand shape of MQuadExpr object.

Synopsis

MQuadExpr<N + 1> Expand(int axis)

Arguments

axis: axis of MQuadExpr.

Return

MQuadExpr object of (N+1)-dimensional shape.

MQuadExpr::Flatten()

Flatten a MQuadExpr object to a 1-dimensional shape.

Synopsis

MQuadExpr<1> Flatten()

Return

a MQuadExpr object collapsed into one dimension.

MQuadExpr::GetDim()

Get i-th dimension of MQuadExpr object.

Synopsis

size_t GetDim(int i)

Arguments

i: index of dimension

Return

i-th dimension.

MQuadExpr::GetND()

Get number of dimensions of MQuadExpr object.

Synopsis

int GetND()

Return

number of dimensions.

MQuadExpr::GetShape()

Get shape of MQuadExpr object.

Synopsis

Shape<N> GetShape()

Return

shape object.

MQuadExpr::GetSize()

Get size of MQuadExpr object.

Synopsis

size_t GetSize()

Return

number of MQExpressions.

MQuadExpr::Item()

Get quadratic expression of given index from MQuadExpr object.

Synopsis

MQExpression &Item(size_t idx)

Arguments

idx: index of quadratic expression.

Return

quadratic expression object.

MQuadExpr::operator[]()

Get quadratic expression of given index from MQuadExpr object.

Synopsis

MQExpression &operator[](size_t i)

Arguments

i: index of quadratic expression.

Return

quadratic expression object.

MQuadExpr::operator[]()

Get constraints of given view from MQuadExpr object.

Synopsis

MQuadExpr operator[](const View &view)

Arguments

view: view of multi-dimensional array.

Return

new MQuadExpr object.

MQuadExpr::Represent()

String representation of MQuadExpr object.

Synopsis

std::string Represent(size_t maxlen)

Arguments

maxlen: max length of representation.

Return

string object.

MQuadExpr::Reshape()

Reshape MQuadExpr object to new shape.

Synopsis

template <int M> MQuadExpr<M> Reshape(const Shape<M> &shape)

Arguments

shape: new shape of M-dimensions.

Return

M-dimensional MQuadExpr object.

MQuadExpr::SetItem()

Set quadratic expression of given index to MQuadExpr object.

Synopsis

void SetItem(size_t idx, const MQExpression &expr)

Arguments

idx: index of element.

expr: MQExpression object.

MQuadExpr::Squeeze()

Remove axis of length 1 from shape of MQuadExpr object.

Synopsis

MQuadExpr<N - 1> Squeeze(int axis)

Arguments

axis: axis of MQuadExpr, where the length is 1.

Return

MQuadExpr object of (N-1)-dimensional shape.

MQuadExpr::SubConstant()

Substract constants from each quadratic expression in MQuadExpr object.

Synopsis

template <class T> void SubConstant(const NdArray<T, N> &constants)

Arguments

constants: N-dimension NdArray object.

MQuadExpr::Sum()

Sum of all quadratic expressions in MQuadExpr object.

Synopsis

MQuadExpr<0> Sum()

Return

sum in zero dimension.

MQuadExpr::Sum()

Sum of quadratic expressions at given axis of MQuadExpr object.

Synopsis

MQuadExpr<N - 1> Sum(int axis)

Arguments

axis: axis of MQuadExpr.

Return

MQuadExpr object in (N-1)-dimension.

MQuadExpr::Transpose()

Perform matrix transpose of MQuadExpr object.

Synopsis

MQuadExpr<N> Transpose()

Return

transposed MQuadExpr object.