14.3.40 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:

Expression

Members:

Expression.eval – Evaluate the expression and push the result onto the work stack.

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

Expression.getModel – Get the associated model.

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

Variable.getShape (.shape) – 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:

BaseVariable

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:

(Expression)

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.getND

getND() -> int

Get the number of dimensions in the variable shape.

Return:

(int)

Variable.getShape (.shape)

getShape() -> int[]

Get the variable shape.

The Python operator/property .shape can also be used for this purpose. See Sec. 14.2 (Pythonic extensions) for details.

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 Python operator/property [] can also be used for this purpose. See Sec. 14.2 (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 Python operator/property [] can also be used for this purpose. See Sec. 14.2 (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 Python operator/property [] can also be used for this purpose. See Sec. 14.2 (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 Python operator/property .T can also be used for this purpose. See Sec. 14.2 (Pythonic extensions) for details.

Return:

(Variable)

Variable.tril

tril() -> Variable

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

Return:

(Variable)