#### Description:

This function creates a new Box and optionally initialises its attributes.

The Box class implements a Region which represents a box with sides parallel to the axes of a Frame (i.e. an area which encloses a given range of values on each axis). A Box is similar to an Interval, the only real difference being that the Interval class allows some axis limits to be unspecified. Note, a Box will only look like a box if the Frame geometry is approximately flat. For instance, a Box centred close to a pole in a SkyFrame will look more like a fan than a box (the Polygon class can be used to create a box-like region close to a pole).

#### Synopsis

AstBox ∗astBox( AstFrame ∗frame, int form, const double point1[], const double point2[], AstRegion ∗unc, const char ∗options, ... )

#### Parameters:

##### frame

A pointer to the Frame in which the region is defined. A deep copy is taken of the supplied Frame. This means that any subsequent changes made to the Frame using the supplied pointer will have no effect the Region.

##### form

Indicates how the box is described by the remaining parameters. A value of zero indicates that the box is specified by a centre position and a corner position. A value of one indicates that the box is specified by a two opposite corner positions.

##### point1

An array of double, with one element for each Frame axis (Naxes attribute). If `"` form`"` is zero, this array should contain the coordinates at the centre of the box. If `"` form`"` is one, it should contain the coordinates at the corner of the box which is diagonally opposite the corner specified by `"` point2`"` .

##### point2

An array of double, with one element for each Frame axis (Naxes attribute) containing the coordinates at any corner of the box.

##### unc

An optional pointer to an existing Region which specifies the uncertainties associated with the boundary of the Box being created. The uncertainty in any point on the boundary of the Box is found by shifting the supplied `"` uncertainty`"` Region so that it is centred at the boundary point being considered. The area covered by the shifted uncertainty Region then represents the uncertainty in the boundary position. The uncertainty is assumed to be the same for all points.

If supplied, the uncertainty Region must be of a class for which all instances are centro-symetric (e.g. Box, Circle, Ellipse, etc.) or be a Prism containing centro-symetric component Regions. A deep copy of the supplied Region will be taken, so subsequent changes to the uncertainty Region using the supplied pointer will have no effect on the created Box. Alternatively, a NULL Object pointer may be supplied, in which case a default uncertainty is used equivalent to a box 1.0E-6 of the size of the Box being created.

The uncertainty Region has two uses: 1) when the astOverlap function compares two Regions for equality the uncertainty Region is used to determine the tolerance on the comparison, and 2) when a Region is mapped into a different coordinate system and subsequently simplified (using astSimplify), the uncertainties are used to determine if the transformed boundary can be accurately represented by a specific shape of Region.

##### options

Pointer to a null-terminated string containing an optional comma-separated list of attribute assignments to be used for initialising the new Box. The syntax used is identical to that for the astSet function and may include `"` printf`"` format specifiers identified by `"` %`"` symbols in the normal way.

##### ...

If the `"` options`"` string contains `"` %`"` format specifiers, then an optional list of additional arguments may follow it in order to supply values to be substituted for these specifiers. The rules for supplying these are identical to those for the astSet function (and for the C `"` printf`"` function).

#### Returned Value

##### astBox()

A pointer to the new Box.

#### Notes:

- A null Object pointer (AST__NULL) will be returned if this function is invoked with the AST error status set, or if it should fail for any reason.

#### Status Handling

The protected interface to this function includes an extra parameter at the end of the parameter list descirbed above. This parameter is a pointer to the integer inherited status variable: `"` int ∗status`"` .
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