====== Attribute Formulas ======

===== Formulas available via User Interface =====

Functions by default available via the Orbit user interface, see [[171:desktop:dataset:contents:index#rules|Attribute Rules]]. \\
All these functions use only one argument.

=== Object Functions ===

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^ Formula ^ Datatype ^ Spatial type ^ Description ^
| CreationDate | String | All | Indicates the exact date the object was created | 
| CreationDateTime | String | All | Indicates the exact date and time the spatial object was created | 
| ObjectId | Integer | All |  |
| UniqueId | Integer |  | 

=== Spatial Functions ===

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^ Formula ^ Datatype ^ Spatial type ^ Description ^
| Center | 
| CenterM | Integer | Point | Returns the user Defined **M**easurement from the point object (will be 0 if coordinatesystem is 2D or 3D or if there is no measurement). |
| ::: | ::: | Line, Area | Shows the user Defined measurement from the center of the rectangle that surrounds the line or area object | 
| CenterX | Float | Point | Shows the X coordinate from the point object (value refers to the used [[180:technology:core:crs_theory|CRS]]). |
| ::: | ::: | Line, Area | Shows the X coordinate from the center of the rectangle that surrounds the line or area object | 
| CenterY | Float | Point | Shows the Y coordinate from the point object (value refers to the used [[180:technology:core:crs_theory|CRS]]). |
| ::: | ::: | Line, Area | Shows the Y coordinate from the center of the rectangle that surrounds the line or area object | 
| CenterZ | Float | Point | Shows the Z coordinate from the point object ([[171:desktop:dataset:contents:structure#coordinate|will be 0 if coordinatesystem is 2D or 2D M or if there is no heigh reference.]])| 
| ::: | ::: | Line, Area | Shows the Z coordinate from the center of the rectangle that surrounds the line or area object | 
| CoordinateCount | Integer | All | Shows the number of points that an object contains |  
| First | 
| FirstM | Float | Point | Shows the user Defined **M**easurement from the point object (will be 0 if coordinatesystem is 2D or 3D or if there is no measurement). |
| ::: | ::: | Line, Area | Shows the user defined measurement from the first point/vertex of the line or area object. first indicates the first point that is placed when the object is drawn. |
| FirstSegmentAngle |
| FirstSegmentLength |
| FirstTriangleHeight |
| FirstX | Float | Point |
| ::: | ::: | Line, Area | Shows the X coordinate from the first point/vertex of the line or area object. first indicates the first point that is placed when the object is drawn. |
| FirstY | Float | Point |
| ::: | ::: | Line, Area | Shows the Y coordinate from the first point/vertex of the line or area object. first indicates the first point that is placed when the object is drawn. |
| FirstZ | Float | Point |
| ::: | ::: | Line, Area | Shows the Z coordinate from the first point/vertex of the line or area object. first indicates the first point that is placed when the object is drawn.* |
| IsClosed | String, Boolean | all | Returns true for a line object if the beginpoint and the endpoint are the same. Area and point objects are always closed, thus true. |
| IsWellFormed | String, Boolean | All | Returns true if the geometry of the spatial object is well formed according the rules of the [[http://www.opengeospatial.org/|OGC]] |
| Last | 
| LastM | Float | Point |
| ::: | ::: | Line, Area | Shows the user defined measurement from the last point/vertex of the line or area object. Last indicates the last point that is placed when the object is drawn.* |
| LastX | Float | Point |
| ::: | ::: | Line, Area | Shows the X coordinate from the last point/vertex of the line or area object. Last indicates the last point that is placed when the object is drawn. |
| LastY | Float | Point |
| ::: | ::: | Line, Area | Shows the Y coordinate from the last point/vertex of the line or area object. Last indicates the last point that is placed when the object is drawn. |
| LastZ | Float | Point |
| ::: | ::: | Line, Area | Shows the Z coordinate from the last point/vertex of the line or area object. Lastt indicates the last point that is placed when the object is drawn.** |
| Max | 
| MaxM | Float | Point |
| ::: | ::: | Line, Area | Shows the user defined measurement from the right upper corner corner of the rectangle that surrounds the line or area object. |
| MaxX | Float | Point |
| ::: | ::: | Line, Area | Shows the X coordinate from the right upper corner corner of the rectangle that surrounds the line or area object. |
| MaxY | Float | Point |
| ::: | ::: | Line, Area | Shows the Y coordinate from the right upper corner corner of the rectangle that surrounds the line or area object. |
| MaxZ | Float | Point |
| ::: | ::: | Line, Area | Shows the Z coordinate from the right upper corner corner of the rectangle that surrounds the line or area object.* |
| Min |
| MinM | Float | Point |
| ::: | ::: | Line, Area | Shows the user defined measurement from the left bottom corner corner of the rectangle that surrounds the line or area object. |
| MinX | Float | Point |
| ::: | ::: | Line, Area | Shows the X coordinate from the left bottom corner of the rectangle that surrounds the line or area object. |
| MinY | Float | Point |
| ::: | ::: | Line, Area | Shows the Y coordinate from the left bottom corner of the rectangle that surrounds the line or area object. |
| MinZ | Float | Point |
| ::: | ::: | Line, Area | Shows the Z coordinate from the left bottom corner of the rectangle that surrounds the line or area object. |
| ObjectArea | Float | Line, Area | Calculates the area in square meter. Line objects will return 0.0 if they are not closed (cfr. IsClosed) |
| ObjectLength | Float | Line, Area | Calculates the length in meter. |
| PartCount | Integer |  | Enumerates the amount of parts from which the object is build. |
| PointCount | Integer |  | Enumerates the amount of points from which the object is build. |
| SpatialImage.SampleValue |  |  |

=== Mobile Mapping Functions ===

Mobile Mapping functions are only available for the Orbit MM desktop portfolio \\
These functions are calculated and updated when editing the object via a mobile mapping view. \\
Mobile Mapping functions calculating a distance, length or area are using the on the fly calculated projected coordinate system to achieve the exact metric result. 

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^ Formula ^ Datatype ^ Spatial type ^ Description ^
| Measure Area XY | Float | Area |2D area, or area of projected 3D area with Z = 0   |
| Measure Area XYZ | Float | Area |Area projected on best fit 3D plane through all measured vertices. This technique expects all vertices to be measured in approximately a single 3D plane.  |
| Measure Distance 2D| Float | Line | 2D length of straight line between start and end point, or length of the projected 3D distance with Z = 0.  |
| Measure Distance 3D | Float | Line | 3D length of straight line between start and end point.  |
| Measure Distance Error XY | Float | Line |Triangulation error for Measure Distance 2D  |
| Measure Distance Error XYZ | Float | Line | Triangulation error for Measure Distance 3D |
| Measure Distance Error Z | Float | Line | Triangulation Z error for Measure Distance 3D  |
| Measure Distance X | Float | Line |absolute difference in X between start and end point of straight line  |
| Measure Distance Y | Float | Line |absolute difference in Y between start and end point of straight line  |
| Measure Distance Z | Float | Line |absolute difference in Z between start and end point of straight line  |
| Measure Length XY | Float | Line, Area | Summed 2D length of each line segment as distance XY. |
| Measure Length XYZ | Float | Line, Area | Summed 3D length of each line segment as distance XYZ.   |
| Measure Point1 Distance to Ground | Float | Point | absolute difference in Z between Point1 and the Ground |
| Measure Point1 Error XY | Float | Point |Triangulation error XY for Measure Point1  |
| Measure Point1 Error XYZ | Float | Point | Triangulation error XYZ for Measure Point1 |
| Measure Point1 Error Z | Float | Point | Triangulation error Z for Measure Point1 |
| Measure Point1 X-Position | Float | Point | the x coordinate of Point1 |
| Measure Point1 Y-Position | Float | Point | the y coordinate of Point1  |
| Measure Point1 Z-Position | Float | Point | the z coordinate of Point1 |
| Measure Point2 Distance to Ground | Float | Point | absolute difference in Z between Point2 and the Ground |
| Measure Point2 Error XY | Float | Point | Triangulation error XY for Measure Point2 |
| Measure Point2 Error XYZ | Float | Point | Triangulation error XYZ for Measure Point2 |
| Measure Point2 Error Z | Float | Point | Triangulation error Z for Measure Point2 |
| Measure Point2 X-Position | Float | Point | the x coordinate of Point2  |
| Measure Point2 Y-Position | Float | Point | the y coordinate of Point2 |
| Measure Point2 Z-Position | Float | Point | the z coordinate of Point2  |
| Measure Distance over curve | Float | Lines |3D length over catenary curve  |
| Measure Span | Float | Lines | Catenary curve: Closest distance between 2 connection points |
| Measure Clearance | Float | Lines | Catenary curve: Minimum distance from cable to ground |

===== Formulas available via Configuration =====

Functions available via ord file editing, see [[180:technology:supported_formats:other:ord|]]. \\
These functions may use one ore multiple arguments. Attribute argument references can only be used within the same Attribute Set. 

The syntax is straightforward but must be exact : 
  * Function : Function()
  * Arguments in function comma separated : Function(Argument1,Argument2,...)
  * Attribute reference by using [ ] : <nowiki>Function([Atribute1],[Atribute2],Argument3,...)</nowiki>
  * Decimal character is dot : <nowiki>Function([Atribute1],[Atribute2],3.1457,Argument4,...)</nowiki>

=== Generic Standard Functions === 

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^ Function ^ Arguments ^ Datatype ^ Description ^
| Abs |  | Double |  |
| ACos |  | Double |  |
| Add |  | Double |  |
| And |  | Boolean |  |
| ArgumentAt |  |  |  |
| ArgumentCount |  |  |  |
| ArgumentsAt |  |  |  |
| ASin |  | Double |  |
| ATan |  | Double |  |
| ATan2 |  | Double |  |
| Between |  | Boolean |  |
| Char | (A) | String | Add a character with a specific code  \\ e.g. : Char(9) results in a 'TAB' character  \\ e.g. : Char(13,10) results in a DOS newline sequence |
| Concat |  | String  | Combines one or more strings, attributevalues or functions \\ e.g. Concat([KERKHOFCODE],”_”,[ZONECODE],”_”,[RIJCODE],”_”,[GRAF])  |
| Cos |  | Double |  |
| Decimals |  | String |  |
| DegToRad |  | Double |  |
| Divide |  | Double |  |
| Double |  | Double |  |
| Equal |  | Boolean |  |
| Exp |  | Double |  |
| FirstArgument |  |  |  |
| FirstUpperCase |  | String |  |
| Hypot2D | (A,B,C) | Double | http://en.wikipedia.org/wiki/Hypotenuse |
| Hypot3D | (A,B,C) | Double | http://en.wikipedia.org/wiki/Hypotenuse |
| If |  | Any |  |
| In |  | Boolean |  |
| IndexOf | (A,B) | Integer | Displays the numeric position of a substring \\ e.g. : IndexOf(“The last emperor”,”emperor”) results in 9 |
| Int |  | Double |  |
| IsNull |  | Boolean |  |
| Larger |  | Boolean |  |
| LargerOrEqual |  |  |  |
| LastArgument |  |  |  |
| LastIndexOf | (A,B) | Integer | Displays the last numeric position of a substring \\ e.g. : LastIndexOf(“C:\temp\my.map\file.txt”,”.”) results in 19 |
| Left |  | String | Takes a part of a string, starting from the left position. The second parameter determines the number of characters. \\ e.g.Left([Attribute],7)  |
| Length | ([Attribute]) |  |   Calculates string length of the attribute.  |
| Log |  | Double |  |
| Long |  |  |  |
| LowerCase |  | String  |  |
| LPad | (A,B,C) | String | Left pad a value with a pad character to the requested size  \\ e.g. : LPad(“123”,6,”0”) results in 000123  \\ e.g. : LPad(“de”,3,”+”) results in +de  |
| LTrim |  | String |  |
| Max |  | String |  |
| Min |  | String |  |
| Multiply |  | Double | e.g. multiply([Attribute],3.28083) (from meters to feet) |
| NewLine |  | String |  |
| Not |  | Boolean |  |
| NowDate |  | String  |  |
| NowDateTime |  | String  |  |
| NowTime |  | String  |  |
| Or |  | Boolean |  |
| PatternMatch | (A,B) | String | Determines whether a particular pattern occurs \\ e.g. : PatternMatch(“255.17.23”,”*.17.*”) results in 'true' |
| Pi |  | Double  |  |
| Power |  | Double  |  |
| Printf |  | String |  |
| RadToDeg |  | Double  |  |
| Random |  | Double  |  |
| Replace | (A,B,C) | String | Replaces a substring by another \\ e.g. : Replace(“the last emperor”,”last”,”first) results in “the first emperor” |
| Right |  | String |  |
| RPad | (value,size,pad) | String | Right pad a value with a pad character to the requested size \\ e.g. : RPad(“123”,6,”0”) results in 123000 \\ e.g. : RPad(“de”,3,”+”) results in de+  |
| RTrim |  | String |  |
| Sin |  | Double  |  |
| Smaller |  | Boolean |  |
| SmallerOrEqual |  | Boolean |  |
| Split | (A,B) | String | Split a string in different parts \\ e.g. : Split(“127.B.3”,”.”) results in “127” “B” and “3” |
| Sqrt |  | Double  |  |
| SubString | () | String | Returns a substring from string A, starting at index position B with length C. |
| SubString2 | (A,B,C) | String | Returns a substring from string A, starting at index position B til, index position C. |
| Subtract |  | Double  |  |
| Tan |  | Double  |  |
| Trim |  | String |  |
| UpperCase |  | String |  |

=== Spatial Functions  ===

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^ Formula ^ Datatype ^ Spatial type ^ Description ^
| Angle | Float | All |  |
| Center | Float | All |  |
| Distance2D | Float | All |  |
| Distance3D | Float | All |  |
| DistanceZ | Float | All |  |
| First | Float | All |  |
| GetM | Float | All |  |
| GetX | Float | All |  |
| GetY | Float | All |  |
| GetZ | Float | All |  |
| Last | Float | All |  |
| Max | Float | All |  |
| Min | Float | All |  |
| NewPoint2D | Float | All |  |
| NewPoint2DM | Float | All |  |
| NewPoint3D | Float | All |  |
| NewPoint3DM | Float | All |  |
| PerpendicularLine | Float | All |  |
| PointInterpolation |
| Point | Float | All |  |
| ProjectPointOnLine | Float | All |  |

=== Mobile Mapping functions ===

Mobile Mapping functions are only available for the Orbit MM desktop portfolio \\

|< 100% 20% 10% 70% >|
^ Formula ^ Datatype ^ Description / Arguments^
| PanFromDirectionAndUp() | Float |  ([Direction_Easting],[Direction_Northing],[Direction_Elevation],[Up_Easting],[Up_Northing],[Up_Elevation]) |
| TiltFromDirectionAndUp() | Float | ([Direction_Easting],[Direction_Northing],[Direction_Elevation],[Up_Easting],[Up_Northing],[Up_Elevation]) |
| RollFromDirectionAndUp() | Float | ([Direction_Easting],[Direction_Northing],[Direction_Elevation],[Up_Easting],[Up_Northing],[Up_Elevation]) |
| PanFromRotationYXZ | Float | ([rotation_y],[rotation_x],[rotation_z]) |
| TiltFromRotationYXZ | Float | ([rotation_y],[rotation_x],[rotation_z]) |
| RollFromRotationYXZ | Float | ([rotation_y],[rotation_x],[rotation_z]) |
| PanFromOmegaPhiKappa | Float | ([Omega],[Phi],[Kappa]) |
| TiltFromOmegaPhiKappa | Float | ([Omega],[Phi],[Kappa]) |
| RollFromOmegaPhiKappa | Float | ([Omega],[Phi],[Kappa]) |

=== Example use formulas  ===

AttributeConstraint=
 ModelId=1
  AttributeSetName=Attributes
   AttributeName=Oppervlakte
    Rule=expression
    Expression=ObjectArea()
   AttributeName=Perimeter
    Rule=expression
    Expression=Spatial.Length
AddFunctionAttribute=
 ModelId=1
  AttributeSetName=Attributes
   AddAttribute=
    AttributeName=Oppervlakte_hm
    AttributeType=FLOAT
    AttributeExpression=Add(100,Divide([Oppervlakte],1000))