# 14.2.42 Class Variable¶

- mosek.fusion.Variable¶
An abstract variable object. This is the base class for all variable types in

*Fusion*, and it contains several methods for manipulating variable objects.The

`Variable`

object can be an interface to the normal model variables, e.g.`LinearVariable`

and`ConicVariable`

, to slices of other variables or to concatenations of other variables.Primal and dual solution values can be accessed through the

`Variable`

object.More static methods to manipulate variables are available in the

`Var`

class.- Implements:
- Members:
Expression.eval – Evaluate the expression and push the result onto the work stack.

Expression.getDim – Return the d’th dimension in the expression.

Variable.antidiag – Return the anti-diagonal of a variable matrix.

Variable.asExpr – Create an expression corresponding to the variable object.

Variable.diag – Return the diagonal of a variable matrix.

Variable.dual – Get the dual solution value of the variable.

Variable.fromTril – Convert from a linear representation of the lower triangular part of a square variable into a square variable.

Variable.getModel – Return the model to which the variable belongs.

Variable.getND – Get the number of dimensions in the variable shape.

Variable.getShape – Return the shape of the variable.

Variable.getSize – Get the total number of elements in the variable.

Variable.index ([]) – Return a single entry in the variable.

Variable.level – Return the primal value of the variable as an array.

Variable.makeContinuous – Drop integrality constraints on the variable, if any.

Variable.makeInteger – Apply integrality constraints on the variable. Has no effect on elements of semidefinite matrix variables.

Variable.pick ([]) – Create a one-dimensional variable by picking a list of indexes from this variable.

Variable.remove – Remove the variable from the model.

Variable.reshape – Reshape the variable. The new shape must have the same total size as the current.

Variable.setLevel – Input solution values for this variable

Variable.slice ([]) – Create a slice variable by picking a range of indexes for each variable dimension.

Variable.toString – Create a string representation of the variable.

Variable.transpose (.T) – Transpose the variable.

Variable.tril – Convert a square variable into a linear representation of the lower triangular part of the variable.

- Implemented by:

- Variable.antidiag¶
antidiag(int index) -> Variable antidiag() -> Variable

Return the anti-diagonal of a variable matrix in a one-dimensional variable object. The main anti-diagonal is defined as starting with the element in the first row and last column.

- Parameters:
`index`

(`int`

) – Index of the anti-diagonal. Index 0 means the main anti-diagonal, negative indices are below it and positive indices are above it.- Return:
(

`Variable`

)

- Variable.asExpr¶
asExpr() -> Expression

Create an

`Expression`

object corresponding to \(I\cdot V\), where \(I\) is the identity matrix and \(V\) is this variable.- Return:

- Variable.diag¶
diag(int index) -> Variable diag() -> Variable

Return the diagonal of a square variable matrix in a one-dimensional variable object. The main diagonal is defined as starting with the element in the first row and first column.

- Parameters:
`index`

(`int`

) – Index of the diagonal. Index 0 means the main diagonal, negative indices are below it and positive indices are above it.- Return:
(

`Variable`

)

- Variable.dual¶
dual() -> float[]

Get the dual solution value of the variable as an array. When the selected slice is multi-dimensional, this corresponds to the flattened slice of solution values.

- Return:
(

`float`

[])

- Variable.fromTril¶
fromTril(int dim) -> Variable

Convert from a linear representation of the lower triangular part of a square variable into a square variable.

- Parameters:
`dim`

(`int`

) – Dimension of the square variable.- Return:
(

`Variable`

)

- Variable.getModel¶
getModel() -> Model

Get the Model object that the variable belongs to.

- Return:
(

`Model`

)

- Variable.getND¶
getND() -> int

Get the number of dimensions in the variable shape.

- Return:
(

`int`

)

- Variable.getShape¶
getShape() -> int[]

Get the variable shape.

- Return:
(

`int`

[])

- Variable.getSize¶
getSize() -> int

Get the total number of elements in the variable.

- Return:
(

`int`

)

- Variable.index ([])¶
index(int i1) -> Variable index(int i1, int i2) -> Variable index(int i1, int i2, int i3) -> Variable index(int[] idx) -> Variable

Return a variable of size one corresponding to a single element in the variable object.

The standard Python operator

`[]`

can also be used for this purpose. See Sec. 14.1.3 (Pythonic extensions) for details.- Parameters:
`i1`

(`int`

) – Index in the first dimension of the element requested.`i2`

(`int`

) – Index in the second dimension of the element requested.`i3`

(`int`

) – Index in the third dimension of the element requested.`idx`

(`int`

[]) – List of indexes of the elements requested.

- Return:
(

`Variable`

)

- Variable.level¶
level() -> float[]

Get the primal solution value of the variable as an array. When the selected slice is multi-dimensional, this corresponds to the flattened slice of solution values.

- Return:
(

`float`

[])

- Variable.makeContinuous¶
makeContinuous()

Drop integrality constraints on the variable, if any.

- Variable.makeInteger¶
makeInteger()

Apply integrality constraints on the variable. Has no effect on elements of semidefinite matrix variables.

- Variable.pick ([])¶
pick(int[] idxs) -> Variable pick(int[][] midxs) -> Variable pick(int[] i1, int[] i2) -> Variable pick(int[] i1, int[] i2, int[] i3) -> Variable

Create a one-dimensional variable by picking a list of indexes from this variable.

The standard Python operator

`[]`

can also be used for this purpose. See Sec. 14.1.3 (Pythonic extensions) for details.- Parameters:
`idxs`

(`int`

[]) – Indexes of the elements requested.`midxs`

(`int`

[][]) – A sequence of multi-dimensional indexes of the elements requested.`i1`

(`int`

[]) – Index along the first dimension.`i2`

(`int`

[]) – Index along the second dimension.`i3`

(`int`

[]) – Index along the third dimension.

- Return:
(

`Variable`

)

- Variable.remove¶
remove()

Remove the variable from the model and remove it from any constraints where it appears. Using the variable object after this method has been called results in undefined behavior.

- Variable.reshape¶
reshape(int[] shape) -> Variable reshape(int dim0) -> Variable reshape(int dim0, int dim1) -> Variable reshape(int dim0, int dim1, int dim2) -> Variable

Reshape the variable. The new shape must have the same total size as the current.

- Parameters:
`shape`

(`int`

[]) – The new shape.`dim0`

(`int`

) – First dimension of new shape`dim1`

(`int`

) – Second dimension of new shape`dim2`

(`int`

) – Third dimension of new shape

- Return:
(

`Variable`

)

- Variable.setLevel¶
setLevel(float[] v)

Set values for an initial solution for this variable. Note that these values are buffered until the solver is called; they are not available through the

`level()`

methods.- Parameters:
`v`

(`float`

[]) – An array of values to be assigned to the variable.

- Variable.slice ([])¶
slice(int first, int last) -> Variable slice(int[] firsta, int[] lasta) -> Variable

Create a slice variable by picking a range of indexes for each variable dimension.

The standard Python operator

`[]`

can also be used for this purpose. See Sec. 14.1.3 (Pythonic extensions) for details.- Parameters:
`first`

(`int`

) – The index from which the slice begins.`last`

(`int`

) – The index after the last element of the slice.`firsta`

(`int`

[]) – The indices from which the slice of a multidimensional variable begins.`lasta`

(`int`

[]) – The indices after the last element of slice of a multidimensional variable.

- Return:
(

`Variable`

)

- Variable.toString¶
toString() -> str

Create a string representation of the variable.

- Return:
(

`str`

)

- Variable.transpose (.T)¶
transpose() -> Variable

Return the transpose of the current variable. The variable must have at most two dimensions.

The standard Python operator

`.T`

can also be used for this purpose. See Sec. 14.1.3 (Pythonic extensions) for details.- Return:
(

`Variable`

)