Reserved Words in LEGAL

This page presents the syntax of commands and some reserved words in LEGAL.

OBS: The reserved words are shown in bold.


See also:
Geoprocessing and Decision Support
Spatial Analysis
LEGAL


Declaration

1 - Image

    It declares a variable of Image type that will be later associated to the current IL or to a new one created in the program. This variable can be used in any program operation.

    Syntax:

    Image variable ("category");

    Considerations

    The first term indicates that the Image geo-fields can be associated to the variable during the program execution. The category between quotes and parenthesis denotes the category defined in the active database. More than one variable name can be declared for the same category.

    Examples:

    Image band3, band4, ivdn ("LANDSAT");
    Image band3 ("LANDSAT"), xp2("SPOT");
    Image B3 ("TMImages");

2 - Numeric

    It declares a Numeric (or digital) variable that will be later associated to the current IL or to a new one created in the program. This variable can be used in any program operation.

    Syntax

    Numeric variable ("category");

    Considerations

    The first term indicates that the Numeric geo-fields can be associated to the variable during the program execution. The category between quotes and parenthesis denotes the category defined in the active database. More than one variable name can be declared for the same category.

    Example:

    Numeric GR1, GR2, GR3 ("Altimetry_Grid");
    Numeric ALTI ("ALTIMETY"), exp("EXPOSITION");
    Numeric grid2 ("Slope_Grids");

3 - Thematic

    It declares a Thematic variable that will be later associated to the current IL or to a new one created in the program. This variable can be used in any program operation.

    Syntax:

    Thematic variable ("category");

    Considerations

    The first term indicates that the Thematic geo-fields can be associated to the variable during the program execution. The category between quotes and parenthesis denotes the category defined in the active database. More than one variable name can be declared for the same category.

    Examples:

    Thematic USE1, USE2, USE3 ("LAND_USE");
    Thematic SOIL1 ("SOIL"), GEO("Geology");
    Thematic dec2 ("Declivity");

4 - Object

    It declares an Object variable that will be later used in an operation such as reclassification by attributes.

    Syntax:

    Object variable ("category");

    Considerations:

    The first term indicates that the object entities can be associated to the variable during the program execution. The category between quotes and parenthesis denotes the category defined in the active database. More than one variable name can be declared for the same category.

    Example:

    Object lot1, lot2, lot3 ("Urban_Lots");
    Object CID ("Cities"), FAZ ("Farms");
    Object Post ("Lamp_post");

5 - Cadastral

    It declares a Cadastral variable that will be later associated to the current IL or to a new one created in the program.

    Syntax

    Cadastral variable ("category");

    Considerations:

    The first term indicates that the cadastral entities can be associated to the variable during the program execution. The category between quotes and parenthesis denotes the category defined in the active database. More than one variable name can be declared for the same category.

    Examples:

    Cadastral cad1 ("Urban_Cadastre");
    Cadastral map_AS ("Countries_Map");

6 - Table

    It declares a table variable that will be used to define transformations between fields and objects of different types.

    Syntax

    Table variable (transformation_type);

    Considerations

    When we declare a table, the first term must contain the reserved word Table followed by the variable name and a key word indicating the type of transformation: Reclassification, Slicing or Weighting. More than one variable name can be declared for the same transformation.

    A Reclassification table defines the mapping between thematic classes of two different categories. In the Slicing, a field of a numeric category is transformed in a thematic field, while in a Weighting the transformation is from a thematic field to a numeric one.

    Examples:

    Table USE1, USE2, USE3 (Reclassification);
    Table Soil1(Weighting), GEO(Weighting);
    Table dec2 (Slicing);

     

7 - Attribute

    Objects Attributes do not need to be explicitly declared. It is enough to directly refer to it (in capital letters) between quotes along with the object variable, following the syntax:

    object_variable. "ATTRIBUTE"

    Considerations:

    The object category name to which the attribute belongs to must be previously associated to the object_variable.


Instantiation

1 - Retrieve

    It associates an information layer existent on the current project to a previously declared variable.

    Syntax:

    variable = Retrieve (Name = "il_name")  or variable = Retrieve (Name = "il_name", Repres = Vector)

    Considerations:

    The Retrieve operator deals with the following operators: Image, Numeric, Thematic, Objects and Cadastral. The retrieved variable and information layer must be the same type. When the information layer is of the vector type, the optional parameter Repres must be informed.

    Examples:

    // Declarations Examples

    Thematic Soils ("SOIL_TYPES");
    Numeric top ("ALTIMETRY"),
    Image band3 ("LANDSAT"),

    // Instantiation Examples

    Soils = Retrieve(Name = "soil_vale_paraiba");
    Soils = Retrieve(Name = "soil_vale_paraiba", Repres = Vector);
    top = Retrieve(Name = "altimetry_sjc");
    band3 = Retrieve(Name = "TM3_SJC");

2 - New

    When it is used with Thematic, Image or Numeric variables, it creates an information layer of the same type on the current project and associates this layer to the left side of the assignment sign "=". When it is used with Table variables, the New operator creates a table on the context of the executing program. This table can be used on the procedures that are based on tables.

    Syntax:

    Image type:

    variable = New (Name = "il_name", ResX = value, ResY = value, Nbits = 8);

    Thematic type:

    variable = New (Name = "il_name", ResX = value , ResY = value, Scale = value, Repres = Vector or Raster);

    Numeric type:

    variable = New (Name = "il_name", ResX = value , ResY = value, Scale = value, Min = value, Max = value );

    Cadastral type:

    variable = New (Name = "il_name", ResX = value , ResY = value, Scale = value);

    Weighting Table type:

    variable = New (CategoryIn = "category_name",
              "geoclass" : value,
              "geoclass" : value,
               ...
               Others: value );

    Slicing Table type:

    variable = New (CategoryOut = "category_name",
            [valueI, valueF] : "geoclass",
            [valueI, valueF] : "geoclass",
            ...
            Others : value );

    Reclassification Table type:

    variable = New (CategoryIn = "category_name", CategoryOut =              "category_name",
            "geoclass" : "geoclass",
            "geoclass" : "geoclass",
            ...
            "geoclass" : Others );

    Considerations:

    For the Image, Numeric, Thematic and Cadastral variables, an information layer will be created in the active project. This new IL is used to store the operation outcome.

    On the tables instantiation, the reserved word "Others" is optional and defines a value to be assigned on the cases not covered by the options above.

    The terms [valueI, valueF] mean the range of values on the numeric field to be assigned to the geoclass. The range goes from valueI (inclusively) to valueF (exclusively).

    Parameters:

    Name - name of the created information layer.
    ResX - horizontal resolution.
    ResY - vertical resolution.
    Nbits – number of bits of the image (8, 10, 16, ...) (optional)
    Scale - scale of the created information layer.
    Min - minimum value allowed for the created grid.
    Max - maximum value allowed for the created grid.
    Repres - representation of the created information layer (optional)
    Vector or Matrix to Thematic.
    Grade or Sample to Numeric.
    CategoryIn - input category.
    CategoryOut - output category.

    Examples:

    // Creating an Image IL:

    ima = New (Name = "ResultingImage",ResX=30,ResY=30, Nbits = 8);

    // Creating a Thematic IL:

    soil = New (Name = "Soils", ResX=50, ResY=50, Scale = 100000);

    // Creating a Numeric IL:

    alti = New (Name = "Altimetry", ResX=50, ResY=50, Scale = 1000, Min=0, Max=100);

    // Creating a Cadastral IL:

    cadast = New (Name = "Urban_plan", ResX=50, ResY=50, Scale = 1000);

    // Creating a Weighting Table:

    pond = New (CategoryIn = "soil_types",
            Le : 0.60,
            Li ; 0.20,
            Ls : 0.35,
            Aq : 0.10);

    // Creating a Slicing Table:

    sslice = New (CategoryOut = "Slope_layers",
            [0.0, 5.0] : "low",
            [5.0, 15.0] : "medium",
            [15.0,45.0] : "high");

    // Creating a Reclassification Table:

    reclass = New (CategoryIn = "Forest", CategoryOut = "Deforestation",
            "Dense_Forest" : "Forest",
            "Cultivated_plain" : "Forest",
            "Rebrota" : "Deforestation",
            "Deforested_Area" : "Deforestation");


Operation

Assign

    It generates a thematic information layer by mapping a geoclasss based on the results of logic expressions (boolean). This mapping is executed by logical or point operators that do overlay between the Information layers classes.

    The boolean expressions can be combined using operators such as: ‘&&’ (AND logic, intersection), ‘||’ (OR logic, union) and ‘!’ or ‘~’ (not, complement). It is also possible to compare the image pixels or grid values through the operators ‘<‘, ‘>‘, ‘<=‘, ‘>=‘, ‘==‘ and ‘!=‘; or compare classes of thematic ILs using the operators ‘==‘ and ‘!=‘. It is possible to involve up to 40 ILs simultaneously.

    Syntax

    variable = Assign(CategoryOut = "category_name")
    {
    "geoclass_name" : boolean_expression),
    "geoclass_name" : boolean_expression),
    "geoclass_names" : boolean_expression),
    ...
    "geoclass_name" : Others
    };

    As an alternative, the syntax below can be used:

    variable = Assign

    {
    ...
    };

    Considerations

    The thematic geo-classes used on the left side of ":" must geo-classes from the thematic category associated to the thematic variable previously declared. The reserved word "Others" is optional and defines a value to be assigned in case the previous alternatives do not fit.

    The boolean expressions operate over the involved data raster representations and are point operations.

    Example:

      theme = Assign (CategoryOut = "AgricultureAptness")
      	{
      "Good"   : (soil.theme == "Le" && decl >= 0.05),
      "Medium" : (soil.theme == "Aq" || decl >= 0.10),
      "Bad"  : (soil.theme == "Aq" &! decl >= 0.10),
      "xx" : Others;
      	}
      


Slice

    It generates a Thematic information layer from numeric data. The processing rules are based on a slicing table created using the New operator.

    Syntax:

    pist = Slice (pien,tabfat)

    Considerations

    The pist variable must be a Thematic information layer. The pien parameter must be a Numeric information layer. The tabfat parameter must be a slicing table.

    Examples:

      {
      // Begin of program
      // Declarations
      Thematic classes_decl ("Slope_range");
      Numeric decli ("Slope");
      Table sslice(Slicing); 
      // Instantiation
      sslice = New (CategoryOut = "Slope_range",
      		[0.0, 5.0]  : "low",
      		[5.0, 15.0] : "medium",
      		[15.0,45.0] : "high");
      
      decli = Retrieve(Name = "slope_grid");
      classes_decl = New(Name="decli_slic", ResX = 40,
      			ResY = 40, Scale = 100000);
      // Operation
      classes_decl = Slice(decli,sslice);
      // End of program
      }
      


Weight

    It generates a Numeric information layer from thematic data. The processing rules are based on a weighting table created using a command with the New operator.

    Syntax:

    pisn = Weight (piet,tabpond)

    Considerations

    A pisn variable must be a Numeric information layer. The piet parameter must be a Thematic information layer. The tabpond parameter must be a Weighting table.

    Example:

       {
      // Begin of program
      // Declarations
        Thematic geom    ("Geomorphology");
        Numeric fragil  ("fragility");
        Table   tab_geo (Weighting); 
      // Instantiation
        fragil = New (Name = "soil_fragility",ResX = 50, 
      		     ResY = 50, Scale = 100000);
      
        tab_geo = New (CategoryIn = "Geomorphology",
      			 "SEpt" : 1.2,
      			 "Espp" : 1.1,
      			 "Estb" : 1.3,
      			 "dk"   : 2.4);
      		  
        geom = retrieve(Name = "Geomor_RADAM");
      // Operation
        fragil = 0.5 * Weight(geom,tab_geo); 
      // End of program
      }
      


Reclassify

    It remaps the themes of a thematic information layer to a new thematic layer. This remapping is done following the rules described in a reclassification table. This is a generalization operation where different input themes are remapped to an output theme.

    Syntax

    pisn = Reclassify (piet ,table_reclass)

    Considerations

    The pisn variable must be a Thematic information layer. The piet parameter must be a Thematic information layer. The table_reclass parameter must be a Reclassification table previously instantiated by the New operator.

    Examples:

      {
      // begin of program
      // Declarations
      Thematic coverage ("Forest");
      Thematic deforest ("Deforestation");
      Table table_reclass(Reclassification);
      // Instantiation
      table_reclass = New (CategoryIn = "Forest",
      	        CategoryOut = "Deforestation",
              "Dense_Forest"  : "Forest",
              "Cultivated_plain" : "Forest",
              "Rebrota"         : "Deforestation",
              "Deforested_Area"  : "Deforestation");
      
      coverage = Retrieve(Name = "coverage_types");
      deforest = New (Name = "deforestation", 
      		  ResX = 30, ResY = 30, Scale = 100000);
      // Operation
      deforest = Reclassify (coverage,tab_reclass);
      // End of program
      }
      
      


?  :  (Conditional Operator)

    It implements a conditional expression from the outcome of a boolean expression evaluated before the sign ?. If the boolean expression is true, the output variable assumes the outcome of the expression before the ":" sign; otherwise, it assumes the outcome after the ":" sign.

    Syntax

    variable = boolean_expression ? expression1 : expression2

    Considerations

    The types of the output variable, expression1 and expression2 must be compatible.

    Examples:

      {
      // begin of program
      // Declarations
      Image tm345, tm5M ("Images");
      Thematic use ("Soil_use");
      // Instantiation
      	use Retrieve (Name = "SoilUse");
      	tm345 = Retrieve (Name = "TM345");
      	tm5M  = New (Name = "test", ResX=30, ResY=30);
      // Operation conditional
      tm5M = use.Class=="city" ? tm345 : 240;
      // End of program
      }
      
      
      


SliceAttribute (or ReclAtrib )

    It creates a thematic IL in relation to ranges of values of numeric attribute defined to objects represented in a cadastral IL. The ranges are defined by a variable of Slicing Table type. The operator executes the transformation over the vector representation and generates a vector representation as an outcome.

    Syntax

    variable = SliceAttribute (object, attribute, tab_fat) OnMap cadastral_il;

    Examples:

      {
      Attribute	pop ("Community_O", "population");
      Object	com ("Community_O");
      Cadastral	cad ("Community_Map");
      Thematic	tem ("Thematic_ranges");
      Table	fat (Slicing);
      
      cad = Retrieve (Name = "CommunityMap");
      tem = New (Name ="population", ResX =100, ResY =100, Scale =100000, Repres =Raster);
      
      fat = New (	CategoryOut= Population",
      		[1000, 2000]	: "Low",
      		[2000, 5000]	: "Medium",
      		[5000, 10000]	: "High"	);
      tem = ReclAtrib (com, pop, fat) OnMap cad;
      }
      
      


ZonalAverage

    It calculates the average value inside each zone (region) of an information layer referenced by the pie argument. The zones are defined, one by one, by the zones_list.

    Syntax

    Numeric grid outcome

    pis = ZonalAverage ( pie, zones_list )

    Single Numeric Value outcome

    vr = ZonalAverage ( pie, zone )

    Numeric outcome in an Objects Attributes Table

    Object."atr" = ZonalAverage ( pie, object OnMap pic )

    Considerations:

    pie - input information layer that defines values inside each geographic region evaluated. The pie information layer must be Image or Numeric types.

    zones_list - Identifies zones over which the average values will be calculated. All zones that are on the zones_list must be located on the pie geographic region. A zones_list can be defined by a list of boolean expressions or by all thematic classes existent in a thematic information layer.

    pis output information layer of Numeric type.

    vr - float variable that receives the resulting average value of a single region.

    Object."atr" - Attribute of an object represented on the pic information layer.

    pic - Cadastral information layer representing a set of regions.

    In case of numeric grid result, all positions in the numeric grid inside a zone will receive an average value calculated over that zone.

    Examples:

       
      {
      // Begin of program
      // Declarations
      Thematic zones	("Soils_vale_paraiba");
      Numeric	 ph		("ph_soil_vale_paraiba"); 
      Numeric  ph_average	("grid_zonal_average_10x10");
      Float	 ph_purple_soil; 
      
      // Instantiation
      // Input data
      ph 	 = Retrieve(Name = "ph_soil_sjc");
      zones = Retrieve(Name = "soil_sjc");ph_average = New(Name = "ph_average_soil_sjc", ResX= 10, 
      			ResY= 10, Scale = 100000, Min = 0, Max = 20);
      // Operation
      // Numeric Outcome for specific regions
      ph_average = ZonalAverage(ph,zones.Class == "purple_soil",
      		    zones.Class   ==  "latosoil_red",
      		    zones.Class   == "soil_hydromorphic");
      
      // Numeric outcome for the thematic classes
      // inside the thematic information layer - "soil_sjc".    
      // In this case, each type of soil defines a region.
      
      ph_average = ZonalAverage(ph,zones.Class * );
      
      // Outcome in a single numeric value
         ph_purple_soil = ZonalAverage(ph,zones.Class == "purple_soil");
      }
      


    Examples:

       // Program of zonal average that updates the attributes table
      {
      // Begin of program
      // Declarations
       Object		regions ("districts");
       Cadastral		districtsmap ("mapcad");
       Digital		altimetry("altime");
      
              districtsmap = Retrieve (Name = "districts");
              altimetry     = Retrieve (Name = "alt");
      
      // Numeric outcome in the Objects Attributes Table
      regions."altitudeM" = ZonalAverage (altimetry,regions OnMap districtsmap);
      }
      


ZonalMaximum

    It identifies the maximum value inside each zone (region) of an information layer referenced by the pie argument. The zones are defined, one by one, by the zones_list.

    Syntax:

    Numeric grid outcome.

    pis = ZonalMax ( pie, zones_list )

    Single numeric value outcome.

    vr = ZonalMax ( pie,zone)

    Numeric outcome in an Objects Attributes Table.

    Object."ATTR" = ZonalMax ( pie, object OnMap pic )

    Considerations:

    pie - the input Information layer that defines the values inside each geographic region evaluated. The pie information layer must be Image or Numeric types.

    zones_list -Identifies zones over which the maximum values will be calculated. All zones that are on the zones_list must be located on the pie geographic region. A zone or region can be identified by a boolean expression or object. A zones_list can be defined by a list of boolean expressions or by all thematic classes existent in a thematic information layer.

    pis - output information layer of Numeric type.

    vr - float variable that receives the maximum value inside a single region.

    Object."atr" - Attribute of an object represented on the pic information layer.

    pic - Cadastral information layer representing a set of regions.

    In case of numeric grid result, all positions in the numeric grid inside a zone will receive the maximum value calculated over that zone.

    Examples:

       
      {
      // Begin of Program 
      // Variables used as restriction
      Thematic    zon("Soil_types");
      Image 	  tm5("TMimages");
      Numeric    ph("ph_soil"); 
      Numeric    maximum_ph_zonal("grid10x10"); 
      Float	  reflec_max_purple_soil;
      
      ph 	= Retrieve(Name = "ph_soil_sjc");
      zon 	= Retrieve(Name = "soil_sjc");
      
      maximum_ph_zonal = New(Name = "ph_maximum_zonal_sjc", ResX = 10, ResY = 10, 
      		Scale = 100000, Min = 0 Max = 200);
      
      // Numeric Outcome
      maximum_ph_zonal = ZonalMax(hp,zon.Class == "purple_soil",
      		 zon.Class == "latosoil_red",
      		 zon.Class == "soil_hydromorphic");
      
      // Numeric Outcome for thematic classes inside the thematic information layer "soil_sjc". 
      // In this case, each type of soil defines a region.
      
      ph_average = ZonalMax (ph.zon.Class * );
      
      // Single numeric value outcome
      reflec_max_purple_soil = ZonalMax(tm5,zon.Class == "purple_soil");
      // End of Program
      }
      


    Examples:

       
      // Program of  zonal maximum updating attributes table
      {
      // Begin of program
      // Declarations
       Object	regions ("districts");
       Cadastral		districtsmap ("mapcad");
       Digital		altimetry("altime");
      
            districtsmap = Retrieve (Name = "districts");
            altimetry     = Retrieve (Name = "alt");
      
      // Numeric Outcome in an objects attributes table
      regions."altitudeMax" = ZonalMax (altimetry,regions OnMap districtsmap);
      }
      


Spatialize

    It allows values referring to a certain object attribute to be mapped in a Geo-field of a Thematic or Digital model. In the first case, textual attributes are associated to thematic classes; on the second case, attribute numeric values are represented in a grid. In both cases, isovalues regions are defined from entities previously associated to objects in a cadastral map.

    Syntax

    Thematic or Digital (geo-field) Outcome.

    tem = Spatialize ( obj."ATR_TEXTUAL" OnMap cad)
    dig = Spatialize ( obj."ATR_NUMERIC" OnMap cad)

    Considerations:

    tem  is the variable name associated to the output information layer, previously declared in the program. The tem variable must be associated to a certain thematic category, whose previously defined classes must have identical names to the possible textual values of the attributes considered for spatialization.

    dig is the name of a variable associated to the output information layer, previously declared in the program under a certain digital category.

    obj is the variable name associated to the geo-objects of an objects model category. These geo-objects, previously associated to entities of the cadastral map, must have their attributes fields filled in with numeric values or names of thematic classes.

    "ATR_TEXTUAL" is the name of the text attribute we want to spatialize; each possible value of this attribute must be identical to the name of a thematic category associated to the IL represented by the tem variable. The attribute name must be written in capital letters.

    "ATR_NUMERIC" is the name of an integer or real attribute we want to spatialize. The attribute name must be written in capital letters.

    cad is a variable declared in the program as being of a certain category from the Cadastral model, associated to an information layer whose entities represent objects involved in the spatialization.

    Examples:

        {
        // Begin of program
        // Declaration of variable names
        Object	limits ("strips");
        Cadastral	farms ("maefarms");
        Thematic	tem ("soil");
        Numeric	ph_soil("grid_ph")
        
        // Instantiation
        //Input data
        farms = Retrieve (Name = "mt");
        tem = New (Name="soil_map", ResX =30, ResY =30, Scale =10000, Repres =Vector);
        
        Outcome in Thematic geo-field
        tem = Update (limits."SOIL" OnMap farms);
        
        Outcome in Numeric field
        ph_soil = Update (limits."ph" OnMap farms);
        }
        
        

Update

    It Updates an attribute of the objects given by the variable obj, previously associated to entities in a cadastral map, given by the variable cad, and from values obtained by the application of zonal operators over a reference information layer, given by the pie variable whose zones are given by the polygons on the cadastral map (cad).

    Syntax

    obj."ATTR" = Update ( pie, obj OnMap cad, opZ)

    Considerations:

    obj is the variable name associated to the geo-objects of an objects model category. This is the name of a variable associated to geo-objects of an objects model category. These geo-objects, previously associated to entities of the cadastral map, must have their attributes fields filled in with numeric values or names of thematic classes.

    pie is name associated to the input Information layer, previously declared in the program and associated to a certain thematic or digital category.

    The zonal operation must be coherent to the data model represented by the IL, i.e., some operators do not make sense with certain reference data. For instance, a ZonalAverage operation is not feasible in a thematic information layer.

    ATTR is the attribute name we want to update which is referred to each object to the objects category, associated to the obj variable, associated to entities of a cadastral map.

    cad is a variable declared in the program as being of a certain category from the Cadastral model.

    Examples:

       
      // This Program updates a table with zonal average operation
      {
      Object		regions ("districts");
      Cadastral	districtsmap ("mapcad");
      Digital		altimetry("altime");
      
      districtsmap = Retrieve (Name = "districts");
      altimetry = Retrieve (Name = "alt");
      regions."AverageAltitude" = Update ( altimetry,regions OnMap districtsmap, MedZ) ;
      } 
      
      // Program that updates table with zonal maximum operation
      {
      Object		regions ("districts");
      Cadastral	districtsmap ("mapcad");
      Digital		altimetry("altime");
      
      districtsmap = Retrieve (Name = "districts");
      altimetry = Retrieve (Name = "alt");
      regions."MaximumAltitude" = Update (altimetry,regions OnMap districtsmap, MaxZ);
      }
      
      

ZonalMinimum

    It identifies a minimum value inside each zone (region) of an information layer referenced by the pie argument. The zones are identified, one by one, by the zones_list.

    Syntax

    Numeric outcome (geo-field).

    pis = ZonalMinimum  ( pie, zones_list )

    Single Numeric outcome

    vr = ZonalMinimum  ( pie,zone)

    Numeric outcome in an Object Attributes Table

    Object."atr" = ZonalMinimum (pie,object OnMap pic)

     

ZonalVariety

It calculates the diversity of values or themes inside each zone (region) of an information layer, referenced by the pie argument.

Syntax:

      Numeric outcome (geo-field).

      pis = ZonalVariety ( pie,zones_list)

      Single Numeric outcome

      vr = ZonalVariety ( pie,zone)

ZonalRange

    Syntax:

    Numeric outcome (geo-field).

    pis = ZonalRange (pie,zones_list)

    Single Numeric outcome

    vr = ZonalRange (pie,zone)


See also:
Geoprocessing and Decision Support
Spatial Analysis
LEGAL