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             */
            external function fx_areRectanglesInside(in SequenceOfRectangularRegion p_rectanglar_region_1, in SequenceOfRectangularRegion p_rectanglar_region_2) return boolean;
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            /**
             * @desc    Check that p_polygonal_region_1 polygonal region is included into p_polygonal_region_2 polygonal region
             * @param   p_polygonal_region_1    Polygonal region 1
             * @param   p_polygonal_region_2    Polygonal region 2
             *
             * @return  true on success, false otherwise
             */
            external function fx_arePolygonsInside(in PolygonalRegion p_polygonal_region_1, in PolygonalRegion p_polygonal_region_2) return boolean;
            
            * @desc Convert a spacial coordinate from DMS to Dms
            * @param p_degrees The degrees (D)
            * @param p_minutes The minutes (M)
            * @param p_seconds The seconds (S)
            * @param p_latlon  The latitude/longitude: (N|S|E|W)
            * @return The decimal coordinate on success, 0.0, otherwise
            * @verdict Unchanged
            */
            external function fx_dms2dd(in Int p_degrees, in Int p_minutes, in float p_seconds, in Oct1 p_latlon) return float;
        } // End of group geodesic
        
    } // End of group externalFunctions
    
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    group geometryFunctions {
        
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        function f_checkRegionValidityRestiction(
                                                 in EtsiTs103097Certificate p_cert, 
                                                 in EtsiTs103097Certificate p_cert_issuer
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        ) return boolean {
            var ValidityPeriod v_cert_region, v_cert_issuer_region;
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            var boolean v_cert_issuer_region_result;
            
            /* FIXME To be reviewed v_cert_issuer_region_result := f_getCertificateValidityRestriction(p_cert_issuer, e_region, v_cert_issuer_region);
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            if (f_getCertificateValidityRestriction(p_cert, e_region, v_cert_region) == false) {
                if (v_cert_issuer_region_result == true) {
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                    if (v_cert_issuer_region.validity.region.region_type != e_none) {
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                        return false;
                    }
                }
            } else if (
                        (v_cert_issuer_region_result == true) and 
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                        (v_cert_issuer_region.validity.region.region_type != e_none)
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            ) {
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                if (v_cert_region.validity.region.region_type == e_circle) {
                    if (v_cert_issuer_region.validity.region.region_type == e_circle) {
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                        // Check v_cert_region 'circle' is inside v_cert_issuer_region 'circle'
                        if (f_areCirclesInside(v_cert_region.validity.region.region.circular_region, v_cert_issuer_region.validity.region.region.circular_region) == false) {
                            log("*** " & testcasename() & ": FAIL: Issuer and issuing certificates circle area does not match ***");
                            return false;
                        }
                    }
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                } else if (v_cert_region.validity.region.region_type == e_rectangle) {
                    if (v_cert_issuer_region.validity.region.region_type == e_rectangle) {
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                        // Check v_cert_region 'rectangle' is inside v_cert_issuer_region 'rectangle'
                        if (f_areRectanglesInside(v_cert_region.validity.region.region.rectangular_region, v_cert_issuer_region.validity.region.region.rectangular_region) == false) {
                            log("*** " & testcasename() & ": FAIL: Issuer and issuing certificates rectangle area does not match ***");
                            return false;
                        }
                    }
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                } else if (v_cert_region.validity.region.region_type == e_polygon) {
                    if (v_cert_issuer_region.validity.region.region_type == e_polygon) {
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                        // Check v_cert_region 'polygon' is inside v_cert_issuer_region 'polygon'
                        if (f_arePolygonsInside(v_cert_region.validity.region.region.polygonal_region, v_cert_issuer_region.validity.region.region.polygonal_region) == false) {
                            log("*** " & testcasename() & ": FAIL: Issuer and issuing certificates polygon area does not match ***");
                            return false;
                        }
                    }
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                } else if (v_cert_region.validity.region.region_type == e_id) {
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                    // Check id_region
                    if (not match (v_cert_region.validity.region, mw_geographicRegion_identified(mw_identifiedRegion_iso3166_any))) { 
                        log("*** " & testcasename() & ": FAIL: Identified region is not conformed to ISO 3166-1 ***");
                        return false;
                    }
                    if (not match (v_cert_region.validity.region, mw_geographicRegion_identified(mw_identifiedRegion_un_stats_any))) {
                        log("*** " & testcasename() & ": FAIL: Identified region is not conformed to United Nations Statistics Division ***");
                        return false;
                    }
                    // Check region_dictionary
                    if (not match (v_cert_region.validity.region.region.id_region.region_dictionary, v_cert_issuer_region.validity.region.region.id_region.region_dictionary)) {
                        log("*** " & testcasename() & ": FAIL: Issuer and issuing 'region_dictionary' field does not match ***");
                        return false;
                    }
                    // Check region_identifier
                    if (not match (v_cert_region.validity.region.region.id_region.region_identifier, v_cert_issuer_region.validity.region.region.id_region.region_identifier)) {
                        log("*** " & testcasename() & ": FAIL: Issuer and issuing 'region_identifier' field does not match ***");
                        return false;
                    }
                    // Check local_region
                    if (
                        (not match (v_cert_issuer_region.validity.region.region.id_region.local_region, v_cert_region.validity.region.region.id_region.local_region)) or 
                        (not match (v_cert_issuer_region.validity.region.region.id_region.local_region, 0))
                    ) {
                        log("*** " & testcasename() & ": FAIL: Issuer and issuing 'local_region' field does not match ***");
                        return false;
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                    }
                }
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            return true;
        } // End of function f_checkRegionValidityRestiction
        
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        /**
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         * @desc    Check that p_circular_region_1 circular region is included into p_circular_region_2 circular region
         * @param   p_circular_region_1    Circular region 1
         * @param   p_circular_region_2    Circular region 2
         *
         * @return  true on success, false otherwise
         */
        function f_areCirclesInside(
                                    in CircularRegion p_circular_region_1, 
                                    in CircularRegion p_circular_region_2
        ) return boolean {
            return fx_areCirclesInside(p_circular_region_1, p_circular_region_2);
        }
        
        /**
         * @desc    Check that p_rectanglar_region_1 rectangular region is included into p_rectanglar_region_2 rectangular region
         * @param   p_rectanglar_region_1    Rectangular region 1
         * @param   p_rectanglar_region_2    Rectangular region 2
         *
         * @return  true on success, false otherwise
         */
        function f_areRectanglesInside(
                                       in SequenceOfRectangularRegion p_rectanglar_region_1, 
                                       in SequenceOfRectangularRegion p_rectanglar_region_2
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        ) return boolean {
            return fx_areRectanglesInside(p_rectanglar_region_1, p_rectanglar_region_2);
        }
        
        /**
         * @desc    Check that p_polygonal_region_1 polygonal region is included into p_polygonal_region_2 polygonal region
         * @param   p_polygonal_region_1    Polygonal region 1
         * @param   p_polygonal_region_2    Polygonal region 2
         *
         * @return  true on success, false otherwise
         */
        function f_arePolygonsInside(
                                     in PolygonalRegion p_polygonal_region_1, 
                                     in PolygonalRegion p_polygonal_region_2
        ) return boolean {
            return fx_arePolygonsInside(p_polygonal_region_1, p_polygonal_region_2);
        }
        
        /**
         * @desc    Check that given location is valid
         * @param   p_location    location to be checked
         * @return  true on success, false otherwise
         */
        function f_isValidTwoDLocation(
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                                       in template (value) TwoDLocation p_location
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        ) return boolean {
//FIXME RGY Titan doesn't support dot notation after valueof at the moment
//                (valueof(p_location).longitude != c_maxLongitude + 1) and
//                (valueof(p_location).latitude != c_maxLatitude + 1);
                (valueof(p_location.longitude) != c_maxLongitude + 1) and
                (valueof(p_location.latitude) != c_maxLatitude + 1);
        } // End of function f_isValidTwoDLocation
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        /**
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         * @desc    Check that two given rectanlular regions are intersected
         *          Note: Regions must be normalized(northWest.latitude >= southEast.latitude)
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         * @param   p_r1    Region 1
         * @param   p_r2    Region 2
         *
         * @return  true on success, false otherwise
         */
        function f_isRectangularRegionsIntersected(
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                                                   in template (value) RectangularRegion p_r1,
                                                   in template (value) RectangularRegion p_r2
        ) return boolean {
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            return not (
//FIXME RGY Titan doesn't support dot notation after valueof at the moment
//                valueof(p_r2).northWest.longitude > valueof(p_r1).southEast.longitude or 
//                valueof(p_r2).southEast.longitude < valueof(p_r1).northWest.longitude or 
//                valueof(p_r2).southEast.latitude  > valueof(p_r1).northWest.latitude or 
//                valueof(p_r2).northWest.latitude  < valueof(p_r1).southEast.latitude
                valueof(p_r2.northWest.longitude) > valueof(p_r1.southEast.longitude) or 
                valueof(p_r2.southEast.longitude) < valueof(p_r1.northWest.longitude) or 
                valueof(p_r2.southEast.latitude)  > valueof(p_r1.northWest.latitude) or 
                valueof(p_r2.northWest.latitude)  < valueof(p_r1.southEast.latitude)
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            );
        } // End of function f_isRectangularRegionsIntersected
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        function f_isContinuousRectangularRegions(
                                                  in template (value) SequenceOfRectangularRegion p_region
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        ) return boolean {
            var integer v_i, v_j;
            var boolean v_found;
            
            for (v_i := 0; v_i < lengthof(p_region); v_i := v_i + 1) {
                var PolygonalRegion v_region_base;
                f_convertRectangularRegionIntoPolygonalRegion(valueof(p_region[v_i]), v_region_base);
                v_found := false;
                for (v_j := 0; v_j < lengthof(p_region); v_j := v_j + 1) {
                    if (v_j != v_i) {
                        var PolygonalRegion v_region;
                        f_convertRectangularRegionIntoPolygonalRegion(valueof(p_region[v_j]), v_region);
                        if (f_isPolygonalRegionInside(v_region, v_region_base) == true) {
                            v_found := true;
                        }
                    }
                } // End of 'for' statement
                if (v_found == false) {
                    return false;
                }
            } // End of 'for' statement
            
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            return true;
        } // End of function f_isContinuousRectangularRegions
         * @desc Check if a polygonal region is inside another one
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         * @param p_parent  The main polygonal region
         * @param p_region  The polygonal region to be included
         * @return true on success, false otherwise
         * @verdict Unchanged
         */
        function f_isRectangularRegionsInside(
                                              in template (value) SequenceOfRectangularRegion p_parent,
                                              in template (value) SequenceOfRectangularRegion p_region
        ) return boolean {
            var integer v_i, v_j;
            
            for (v_i := 0; v_i < lengthof(p_parent); v_i := v_i + 1) {
                var PolygonalRegion v_region_parent, v_region;
                f_convertRectangularRegionIntoPolygonalRegion(valueof(p_parent[v_i]), v_region_parent);
                for (v_j := 0; v_j < lengthof(p_parent); v_j := v_j + 1) {
                    f_convertRectangularRegionIntoPolygonalRegion(valueof(p_region[v_j]), v_region);
                    if (f_isPolygonalRegionInside(v_region, v_region_parent) == true) {
                        return true;
                    }
                } // End of 'for' statement
            } // End of 'for' statement
            
            return false;
        } // End of function f_isRectangularRegionsInside
        /**
         * @desc Convert a rectangular region into a polygonal region
         * @param p_region The rectangular regions to convert
         * @return 
         * @verdict 
         */
        function f_convertRectangularRegionIntoPolygonalRegion(
                                                               in template (value) RectangularRegion p_rectangular_region,
                                                               out PolygonalRegion p_region
        ) return boolean {
            
            // Convert rectangular regions to polygons and check polygons
            p_region[0] := valueof(p_rectangular_region.northWest);
                valueof(p_rectangular_region.northWest.latitude) + valueof(p_rectangular_region.southEast.latitude),
                valueof(p_rectangular_region.northWest.longitude)
            p_region[2] := valueof(p_rectangular_region.southEast);
                valueof(p_rectangular_region.northWest.latitude),
                valueof(p_rectangular_region.northWest.longitude) + valueof(p_rectangular_region.southEast.longitude) 
            };
            log("f_convertRectangularRegionIntoPolygonalRegion: DEBUG: Northwest location is invalid in rect ", p_region);
            
            return true;
        } // End of function 
        
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         * @desc    Check that given polygon doesn't have neither self-intersections nor holes.
         * @param   p_region   Polygonal Region
         * @return  true on success, false otherwise
         * @verdict Unchanged
         */
        function f_isValidPolygonalRegion(
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                                          in template (value) PolygonalRegion p_region
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        ) return boolean {
            // Sanity check
            if (not isbound(p_region) or (lengthof(p_region) == 0)) {
                return false;
            }
            
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            return fx_isValidPolygonalRegion(valueof(p_region));
        } // End of function f_isValidPolygonalRegion
         * @desc Check if a polygonal region is inside another one
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         * @param p_parent  The main polygonal region
         * @param p_region  The polygonal region to be included
         * @return true on success, false otherwise
         * @verdict Unchanged
         */
        function f_isPolygonalRegionInside(
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                                           in template (value) PolygonalRegion p_parent,
                                           in template (value) PolygonalRegion p_region
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        ) return boolean {
            // Sanity check
            if (not isbound(p_parent) or not isbound(p_region) or (lengthof(p_parent) == 0) or (lengthof(p_region) == 0)) {
                return false;
            }
            
            return fx_isPolygonalRegionInside(valueof(p_parent), valueof(p_region));
        } // End of function f_isPolygonalRegionInside
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         * @desc
         */
        function f_isIdentifiedRegionInside(
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                                            in template (value) UInt16 p_parent,
                                            in template (value) UInt16 p_region
        ) return boolean {
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            return valueof(p_parent) == valueof(p_region);
        } // End of function f_isIdentifiedRegionInside
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         * @desc Check that the location is inside a region
         * @param p_region      The region to consider
         * @param p_location    The device location
         * @return true on success, false otherwise
         * @verdict Unchanged
         */
        function f_isLocationInsideRegion(
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                                          in template (value) GeographicRegion p_region,
                                          in template (value) ThreeDLocation p_location
        ) return boolean {
            var boolean v_ret := false;
            if (ischosen(p_region.circularRegion)) {
                v_ret := f_isLocationInsideCircularRegion(valueof(p_region.circularRegion), p_location);
            } else if (ischosen(p_region.rectangularRegion)) {
                v_ret := f_isLocationInsideRectangularRegion(valueof(p_region.rectangularRegion), p_location);
            } else if (ischosen(p_region.polygonalRegion)) {
                v_ret := f_isLocationInsidePolygonalRegion(valueof(p_region.polygonalRegion), p_location);
            } else if (ischosen(p_region.identifiedRegion)) {
                for (var integer v_i := 0; v_i < lengthof(p_region.identifiedRegion); v_i := v_i + 1) {
                    if (f_isLocationInsideIdentifiedRegion(valueof(p_region.identifiedRegion[v_i]), p_location) == true) {
                        v_ret := true;
                        break;
                    }
                } // End of 'for' statement
        } // End of function f_isLocationInsideRegion
        
        /**
        * @desc Check that the location is inside a circular region
        * @param p_region      The circular region to consider
        * @param p_location    The device location
        * @return true on success, false otherwise
        * @verdict Unchanged
        */
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        function f_isLocationInsideCircularRegion(
                                                  in template (value) CircularRegion p_region,
                                                  in template (value) ThreeDLocation p_location
        ) return boolean {
            // Sanity check
            if (not isbound(p_region) or not isbound(p_location)) {
                return false;
            }
            
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            return fx_isLocationInsideCircularRegion(valueof(p_region), valueof(p_location));
        } // End of function f_isLocationInsideCircularRegion
        
        /**
        * @desc Check that the location is inside a rectangular region
        * @param p_region      The rectangular region to consider
        * @param p_location    The device location
        * @return true on success, false otherwise
        * @verdict Unchanged
        */
        function f_isLocationInsideRectangularRegion(
                                                     in template (value) SequenceOfRectangularRegion p_region,
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                                                     in template (value) ThreeDLocation p_location
        ) return boolean {
            // Sanity check
            if (not isbound(p_region) or not isbound(p_location) or (lengthof(p_region) == 0)) {
                return false;
            }
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//            log("f_isLocationInsideRectangularRegion: p_polygonalArea: ", p_region);
//            log("f_isLocationInsideRectangularRegion: p_location: ", p_location);
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            return fx_isLocationInsideRectangularRegion(valueof(p_region), valueof(p_location));
        } // End of function f_isLocationInsideRectangularRegion
        
        /**
        * @desc Check that the location is inside a polygonal region
        * @param p_region      The polygonal region to consider
        * @param p_location    The device location
        * @return true on success, false otherwise
        * @verdict Unchanged
        */
        function f_isLocationInsidePolygonalRegion(
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                                                   in template (value) PolygonalRegion  p_region,
                                                   in template (value) ThreeDLocation p_location
        ) return boolean {
            // Sanity check
            if (not isbound(p_region) or not isbound(p_location) or (lengthof(p_region) == 0)) {
                return false;
            }
//            log("f_isLocationInsidePolygonalRegion: p_polygonalArea: ", p_region, " - ", valueof(p_region));
//            log("f_isLocationInsidePolygonalRegion: p_location: ", p_location, " - ", valueof(p_location));
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            return fx_isLocationInsidePolygonalRegion(valueof(p_region), valueof(p_location));
        } // End of function f_isLocationInsidePolygonalRegion
        
        /**
        * @desc Check if the location is inside an identified region
        * @param p_region      The identified region to consider
        * @param p_location    The device location
        * @return true on success, false otherwise
        * @verdict Unchanged
        */
        function f_isLocationInsideIdentifiedRegion(
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                                                    in template (value) IdentifiedRegion p_region,
                                                    in template (value) ThreeDLocation p_location
        ) return boolean {
            // Sanity check
            if (not isbound(p_region) or not isbound(p_location)) {
                return false;
            }
            
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            return fx_isLocationInsideIdentifiedRegion(valueof(p_region), valueof(p_location));
        } // End of function f_isLocationInsideIdentifiedRegion
        
        /**
        * @desc Check if the location is inside an undefined region
        * @param p_region      The identified region to consider
        * @param p_location    The device location
        * @return true on success, false otherwise
        * @verdict Unchanged
        */
        function f_isLocationInsideOtherRegion(
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                                               in template (value) octetstring p_region,
                                               in template (value) ThreeDLocation p_location
        ) return boolean {
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            // Sanity check
            if (valueof(p_region) == ''O) {
                return false;
            }
            
            return fx_isLocationInsideOtherRegion(valueof(p_region), valueof(p_location)); 
        } // End of function f_isLocationInsideOtherRegion
        
        * @desc Convert a spacial coordinate from DMS to Dms
        * @param p_degrees The degrees (D)
        * @param p_minutes The minutes (M)
        * @param p_seconds The seconds (S)
        * @param p_latlon  The latitude/longitude: (N|S|E|W)
        * @return The decimal coordinate on success, 0.0, otherwise
        * @verdict Unchanged
        */
        function f_dms2dd(
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                          in integer p_degrees,
                          in integer p_minutes,
                          in float p_seconds,
                          in charstring p_latlon
        ) return float {
            var Oct1 v_latlon;
            
            // Sanity checks
            if (lengthof(p_latlon) != 1) {
                return 0.0;
            } else if ((p_latlon != "N") and (p_latlon != "S") and (p_latlon != "E") and (p_latlon != "W")) {
                return 0.0;
            }
            v_latlon := char2oct(p_latlon);
            return fx_dms2dd(p_degrees, p_minutes, p_seconds, v_latlon);
        } // End of function f_dms2dd
        
        /**
        * @desc Convert the latitude from float to int
        * @param p_latitude The latitude to be converted. Significand length shall be 7 digits length
        * @return The converted latitude
        * @verdict Unchanged
        */
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        function f_ddlat2int(
                             in float p_latitude
        ) return SecLatitude {
            return float2int(p_latitude * 10000000.0); // Significand length shall be 7 digits length
        }
        
        /**
        * @desc Convert the longitude from float to int
        * @param p_longitude The longitude to be converted. Significand length shall be 6 digits length
        * @return The converted longitude
        * @verdict Unchanged
        */
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        function f_ddlon2int(
                             in float p_longitude
        ) return SecLongitude {
            return float2int(p_longitude * 1000000.0); // Significand length shall be 6 digits length
        }
        
    } // End of group geometryFunctions
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} // End of module LibItsSecurity_Functions