TABLE OF CONTENTS

1. ROBODoc/ROBODoc Cascading Style Sheet [ Modules ]

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FUNCTION

   This is the default cascading style sheet for documentation
   generated with ROBODoc.
   You can edit this file to your own liking and then use
   it with the option
      --css <filename>

   This style-sheet defines the following layout
      +----------------------------------------+
      |    logo                                |
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      |    extra                               |
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      |                              | navi-   |
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      +----------------------------------------+
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   This style-sheet is based on a style-sheet that was automatically
   generated with the Strange Banana stylesheet generator.
   See http://www.strangebanana.com/generator.aspx

2. LRS/STAddMeasure (2012) [ Functions ]

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NAME

    STAddMeasure -- Function that adds measures to the supplied linestring point.

SYNOPSIS

    Function STAddMeasure (
               @p_linestring    geometry,
               @p_start_measure float,
               @p_end_measure   float,
               @p_round_xy      int = 3,
               @p_round_zm      int = 2
             )
     Returns geometry 

DESCRIPTION

    Function that add measured ordinates to the supplied @p_linestring.
    Supports LineString, CircularString, CompoundCurve geometries
    If geometry is already measured it is returned unchanged.
    Start Point is assigned @p_start_measure except where start/end measure input values are the same. 
    If same, or @p_start_measure is NULL, @p_start_measure is set to 0.0.
    If @p_end_measure is equal to @p_start_measure, @p_end_measure is set to start measure + geometry length.
    IF start measure is less than end measure the line is returned unmodified (see TOBEDONE)
    Intermediate Points' measure values are calculated based on length calculations.
    The updated coordinate's XY ordinates are rounded to @p_round_xy number of decimal digits of precision.
    The updated coordinate's ZM ordinates are rounded to @p_round_ZM number of decimal digits of precision.

PARAMETERS

    @p_linestring       (geometry) - Supplied Linestring geometry.
    @p_start_measure       (float) - New Start Measure value: if null it is set to 0.
    @p_end_measure         (float) - New End Measure value: if null it is set to ST_Length(@p_linestring)
    @p_round_xy              (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm              (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    measured linestring (geometry) - Input linestring with measures applied.
  TOBEDONE
    Handle reverse measure input values eg start measure of 10 and 
    end measure of 0 (or null - line length - and end_measure = 0)

EXAMPLE

    SELECT [lrs].[STAddMeasure] (
             geometry::STGeomFromText('LINESTRING(0 0,1 1)',0),
             1,
             1.414,
             3, 
             2 
           ).AsTextZM() as MeasureLine;
    MeasureLine
    LINESTRING (0 0 NULL 1, 1 1 NULL 1.41)

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2017 - Original TSQL Coding for SQL Spatial.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

3. LRS/STEndMeasure (2012) [ Functions ]

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NAME

    STEndMeasure -- Returns M value of last point in a measured geometry.

SYNOPSIS

    Function STEndMeasure (
       @p_linestring geometry
    )
    Returns geometry 

DESCRIPTION

    Returns the measure associated with the last point in a measured line-string.
    Supports Linestrings with CircularString elements (2012).

INPUTS

    @p_linestring (geometry) - Supplied Linestring geometry.

RESULT

    measure (float) -- Measure value of the last point in a measured line-string.

NOTES

    If the line-string is not measured it returns the length of @p_linestring.

EXAMPLE

    select [lrs].[STEndMeasure](geometry::STGeomFromText('LINESTRING(1 1 2 3, 2 2 3 4)', 0)) as end_measure
    union all
    select [lrs].[STEndMeasure](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3, 2 2 3 4),(3 3 4 5,4 4 5 6))', 0))
    union all
    select [lrs].[STEndMeasure](geometry::STGeomFromText('CIRCULARSTRING (3 6.325 NULL 0, 0 7 NULL 3.08, -3 6.325 NULL 6.15)',0))
    GO
    
    end_measure
    4
    6
    6.15

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original Coding.
    Simon Greener - December 2017 - Port to SQL Server.

COPYRIGHT

    (c) 2012-2018 by TheSpatialDBAdvisor/Simon Greener

4. LRS/STFindMeasure (2012) [ Functions ]

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NAME

    STFindMeasure -- Snaps input point to measured linestring returning measure value

SYNOPSIS

     Function STFindMeasure (
        @p_linestring geometry,
        @p_point      geometry,
        @p_round_xy   int = 3,
        @p_round_zm   int = 2 
      )
      Returns float 

DESCRIPTION

    Given a point near a the supplied measure @p_linestring, this function returns the measure of the closest point on the measured @p_linestring. 

    Measure value returned is rounded to supplied @p_round_zm parameter.

NOTES

    Is identical to [lrs].[STFindMeasureByPoint].
    Srid of @p_linestring and @p_point must be the same.
    @p_linestring must be measured.

INPUTS

    @p_linestring (geometry) - Measured (Multi)LineString geometry.
    @p_point      (geometry) - Offset Point for which closest linestring point measure is needed.
    @p_round_xy        (int) - Decimal digits of precision for XY ordinates.
    @p_round_zm        (int) - Decimal digits of precision for M ordinate.

RESULT

    measure          (float) - Measure of closest point on line to supplied point.

EXAMPLE

    select [lrs].[STFindMeasure] (
             geometry::STGeomFromText('LINESTRING(-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)',28355),
             geometry::Point(8,8,28355),
             3,2) as measure
    union all
    select [lrs].[STFindMeasure] (
             geometry::STGeomFromText('LINESTRING(-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)',28355),
             geometry::Point(10,0,28355),
             3,2) as measure
    GO
    
    measure
    23.44
    15.61

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - November 2017 - Original coding.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

5. LRS/STFindMeasureByPoint (2012) [ Functions ]

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NAME

    STFindMeasureByPoint -- Returns value of the measure dimension of a point on the provided linesting closest to the provided point.

SYNOPSIS

    Function [$(lrsowner)].[STFindMeasureByPoint] (
               @p_linestring geometry,
               @p_point      geometry,
               @p_round_xy   int   = 3,
               @p_round_zm   int   = 2
             )
     Returns geometry

DESCRIPTION

    Given a point near a the supplied measure @p_linestring, this function returns the measure of the closest point on the measured @p_linestring. 

    Returned measure value is rounded to @p_round_zm decimal digits of precision.

NOTES

    Srid of @p_linestring and @p_point must be the same.

    @p_linestring must be measured.

INPUTS

    @p_linestring (geometry) - Measured linestring with or without Z ordinates.
    @p_point      (geometry) - Point near to linestring.
    @p_round_xy        (int) - Decimal digits of precision for XY ordinates.
    @p_round_zm        (int) - Decimal digits of precision for M ordinate.

RESULT

    measure value    (float) - Measure of point found on @p_linestring.

EXAMPLE

   select [$(lrsowner)].[STFindMeasureByPoint] (
              geometry::STGeomFromText('LINESTRING(-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)',28355),
              geometry::Point(8,8,28355),
              3,2) as measure
    union all
    select [$(lrsowner)].[STFindMeasureByPoint] (
             geometry::STGeomFromText('LINESTRING(-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)',28355),
             geometry::Point(10,0,28355),
             3,2) as measure
    GO

    measure
    23.44
    15.61

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original coding.
    Simon Greener - December 2017 - Port to SQL Server (TSQL).

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

6. LRS/STFindOffset (2012) [ Functions ]

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NAME

    STFindOffset -- Compute smallest perpendicular offset from supplied point to the supplied linestring.

SYNOPSIS

     Function [$(lrsowner)].[STFindOffset] (
         @p_linestring geometry,
         @p_point      geometry,
         @p_round_xy   int = 3,
         @p_round_zm   int = 2 
      )
      Returns float 

DESCRIPTION

    Given a point near @p_linestring, this function returns the perpendicular distance from it to the closest point on @p_linestring. 

    Value is negative if on left of line; positive if on right.
 
    Returned measure value is rounded to @p_round_zm decimal digits of precision.

NOTES

    Calls [$(lrsowner)].[STProjectPoint].
    Srid of @p_linestring and @p_point must be the same.

INPUTS

    @p_linestring (geometry) - (Multi)LineString geometry.
    @p_point      (geometry) - Offset Point for which closest linestring point measure is needed.
    @p_round_xy        (int) - Decimal digits of precision for XY ordinates.
    @p_round_zm        (int) - Decimal digits of precision for M ordinate.

RESULT

    offset           (float) - Perpendicular offset distance from point to nearest point on line.

EXAMPLE

    select [lrs].[STFindOffset] (
             geometry::STGeomFromText('LINESTRING(-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)',28355),
             geometry::Point(8,8,28355),
             3,2) offset_distance
     union all
    select [lrs].[STFindOffset] (
             geometry::STGeomFromText('LINESTRING(-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)',28355),
             geometry::Point(10,0,28355),
             3,2)
     union all
    select ROUND([lrs].[STFindOffset] (
             geometry::STGeomFromText('CIRCULARSTRING(0 10,-3.746 9.272,-7.071 7.071)',28355),
             geometry::Point(-1,1,28355),
             3,2),3)
     union all
    select ROUND([lrs].[STFindOffset] (
             geometry::STGeomFromText('CIRCULARSTRING(-7.071 7.071,-3.746 9.272,0 10)',28355),
             geometry::Point(-1,1,28355),
             3,2),3)
    go
    
    offset_distance
    2
    0
    8.586
    -8.586

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - November 2017 - Original coding.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

7. LRS/STFindPointByLength (2012) [ Functions ]

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NAME

    STFindPointByLength -- Returns (possibly offset) point geometry at supplied distance along linestring.

SYNOPSIS

    Function [$(lrsowner)].[STFindPointByLength] (
               @p_linestring   geometry,
               @p_length       Float,
               @p_offset       Float = 0.0,
               @p_radius_check int = 1,
               @p_round_xy     int   = 3,
               @p_round_zm     int   = 2
             )
     Returns geometry 

DESCRIPTION

    Given a length (0 to @p_linestring.STLength()), this function returns a geometry point at the position described by that length.

    If a non-zero/null value is suppied for @p_offset, the found point is offset (perpendicular to line) to the left (if @p_offset < 0) or to the right (if @p_offset > 0).

    If a genenerated point is on the side of the centre of a CircularString ie offset > radius: 
        0 returns the offset point regardless.
        1 causes NULL to be returned; 
        2 returns centre point; 

    The returned point has its ordinate values rounded using the supplied @p_round_xy/@p_round_zm decimal place values.

NOTES

    Supports LineStrings with CircularString elements.

INPUTS

    @p_linestring (geometry) - Linestring geometry.
    @p_length        (float) - Length defining position of point to be located. Valid values between 0.0 and @p_linestring.STLength()
    @p_offset        (float) - Offset (distance) value left (negative) or right (positive) in SRID units.
    @p_radius_check    (int) - If the offset is greater than the radius inside a CircularString: 1 causes NULL to be returned; 2 returns centre point; 0 returns the offset point regardless.
    @p_round_xy        (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm        (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    point         (geometry) - Point at provided distance from start, offset to left or right.

EXAMPLE

    with data as (
      select geometry::STGeomFromText('COMPOUNDCURVE(CIRCULARSTRING (3 6.3246, 0 7, -3 6.3246),(-3 6.3246, 0 0, 3 6.3246))',0) as linestring
    )
    select g.intValue as length,
           offset.IntValue as offset,
           [$(lrsowner)].[STFindPointByLength](a.linestring,g.IntValue,offset.IntValue,0,3,2).AsTextZM() as fPoint
      from data as a
           cross apply
           [$(owner)].[generate_series](0,a.lineString.STLength(),a.linestring.STLength() / 4.0 ) as g
           cross apply
           [$(owner)].[generate_series](-1,1,1) as offset
    order by offset, length
    GO

    length offset fPoint
    0      -1     POINT (2.571 5.421)
    5      -1     POINT (-1.608 5.78)
    10     -1     POINT (-0.468 3.321)
    15     -1     POINT (-0.133 2.055)
    20     -1     POINT (2.01 6.572)
    0      0      POINT (3 6.3246)
    5      0      POINT (-1.876 6.744)
    10     0      POINT (-1.372 2.892)
    15     0      POINT (0.771 1.626)
    20     0      POINT (2.914 6.143)
    0      1      POINT (3.429 7.228)
    5      1      POINT (-2.144 7.707)
    10     1      POINT (-2.276 2.463)
    15     1      POINT (1.675 1.197)
    20     1      POINT (3.818 5.714)

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2017 - Original Coding.
    Simon Greener - November 2021 - Fixed cumulative_length and radius_check bugs.

8. LRS/STFindPointByMeasure (2012) [ Functions ]

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NAME

    STFindPointByMeasure -- Returns (possibly offset) point geometry at supplied measure along linestring.

SYNOPSIS

    Function [$(lrsowner)].[STFindPointByMeasure] (
               @p_linestring   geometry,
               @p_measure      Float,
               @p_offset       Float = 0.0,
               @p_radius_check int   = 0,
               @p_round_xy     int   = 3,
               @p_round_zm     int   = 2
             )
     Returns geometry 

DESCRIPTION

    Given a measure, this function returns a geometry point at that measure.
    If a non-zero/null value is suppied for @p_offset, the found point is offset (perpendicular to line)
    to the left (if @p_offset < 0) or to the right (if @p_offset > 0).
    If a genenerated point is on the side of the centre of a CircularString ie offset > radius: 
        0 returns the offset point regardless.
        1 causes NULL to be returned; 
        2 returns centre point; 

NOTES

    Supports LineStrings with CircularString elements.

INPUTS

    @p_linestring (geometry) - Linestring geometry with measures.
    @p_measure       (float) - Measure defining position of point to be located.
    @p_offset        (float) - Offset (distance) value left (negative) or right (positive) in p_units.
    @p_radius_check    (int) - If Point disappears inside a CircularString (offset > radius): 1 causes NULL to be returned; 2 returns centre point; 0 returns the offset point regardless.
    @p_round_xy        (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm        (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    point         (geometry) - Point at provided measure offset to left or right.

EXAMPLE

    with data as (
    select lrs.STAddMeasure(geometry::STGeomFromText('CIRCULARSTRING (0 0,10 5, 20 0, 30 -5, 40 0)',2274),null,null,3,3) as geom
    )
    select g.IntValue,
            [$(lrsowner)].[STFindPointByMeasure] (a.geom,g.IntValue,13.0,2,3,3).AsTextZM() as fl
       from data as a
            cross apply
            dbo.Generate_Series(a.geom.STStartPoint().M,a.geom.STEndPoint().M,5) as g;
    go
    
    measure geom
    0       POINT (10 -7.5)
    5       POINT (10 -7.5)
    10      POINT (10 -7.5)
    15      POINT (10 -7.5)
    20      POINT (10 -7.5)
    25      POINT (12.033 -10.595 NULL 25)
    30      POINT (20.497 -16.163 NULL 30)
    35      POINT (30.462 -17.996 NULL 35)
    40      POINT (40.354 -15.803 NULL 40)
    45      POINT (48.611 -9.932 NULL 45)

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2017 - Original Coding.
    Simon Greener - November 2021 - Fixed cumulative_length and radius_check bugs.

9. LRS/STFindPointByRatio (2012) [ Functions ]

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NAME

    STFindPointByRatio -- Returns (possibly offset) point geometry at supplied length ratio along linestring.

SYNOPSIS

    Function [$(lrsowner)].[STFindPointByRatio] (
               @p_linestring   geometry,
               @p_ratio        Float,
               @p_offset       Float = 0.0,
               @p_radius_check bit   = 1,
               @p_round_xy     int   = 3,
               @p_round_zm     int   = 2
             )
     Returns geometry 

DESCRIPTION

    Given a ratio (0 to 1.0), this function returns a geometry point at the position described by that ratio.

    Ratio is combined with length, so @p_ratio of 1.0 is equivalent to @p_linestring.STLength() ie @p_linestring.STEndPoint().

    For example, @p_ratio value of 0.5 returns point at exact midpoint of linestring (ct centroid).

    If a non-zero/null value is suppied for @p_offset, the found point is offset (perpendicular to line) to the left (if @p_offset < 0) or to the right (if @p_offset > 0).

    If the offset is greater than the radius (inside) of a CircularString: 1 causes NULL to be returned; 2 returns centre point; 0 returns the offset point regardless.

    The returned point has its ordinate values rounded using the supplied @p_round_xy/@p_round_zm decimal place values.

NOTES

    Supports LineStrings with CircularString elements.
    Wrapper over STFindPointByLength

INPUTS

    @p_linestring (geometry) - Linestring (including CircularString) geometry.
    @p_ratio         (float) - Length ratio between 0.0 and 1.0. If Null, @p_linestring is returned.
    @p_offset        (float) - Offset (distance) value left (negative) or right (positive) in STSrid units.
    @p_radius_check    (int) - If the offset is greater than the radius inside a CircularString: 1 causes NULL to be returned; 2 returns centre point; 0 returns the offset point regardless.
    @p_round_xy        (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm        (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    point         (geometry) - Point at provided length ratio from start, with optional offset to left or right.

EXAMPLE

    -- LineString test.
    select f.ratio,
           o.IntValue as offset,
           [lrs].[STFindPointByRatio] (
              geometry::STGeomFromText('LINESTRING(-4 -4 0  1, 0  0 0  5.6, 10  0 0 15.61, 10 10 0 25.4)',0),
              f.ratio,
              o.IntValue,
              2,
              3,
              2
           ).AsTextZM() as fPoint
      from (select 0.01 * CAST(t.IntValue as numeric) as ratio
              from [dbo].[Generate_Series](0,100,10) as t
           ) as f
           cross apply 
           [dbo].[generate_series](-1,1,1) as o
     order by offset, ratio
    GO
 
    ratio offset fPoint
    0.00  -1     POINT (-4.70710678118655 -3.29289321881345 0 1)
    0.10  -1     POINT (-2.893 -1.479 0 3.09)
    0.20  -1     POINT (-1.079 0.335 0 5.17)
    0.30  -1     POINT (2.04 1 0 7.64)
    0.40  -1     POINT (4.606 1 0 10.21)
    0.50  -1     POINT (7.172 1 0 12.78)
    0.60  -1     POINT (9.737 1 0 15.35)
    0.70  -1     POINT (9 2.303 0 17.86)
    0.80  -1     POINT (9 4.869 0 20.38)
    0.90  -1     POINT (9 7.434 0 22.89)
    1.00  -1     POINT (9 10 0 25.4)
    0.00  0      POINT (-4 -4 0 1)
    0.10  0      POINT (-2.186 -2.186 0 3.09)
    0.20  0      POINT (-0.372 -0.372 0 5.17)
    0.30  0      POINT (2.04 0 0 7.64)
    0.40  0      POINT (4.606 0 0 10.21)
    0.50  0      POINT (7.172 0 0 12.78)
    0.60  0      POINT (9.737 0 0 15.35)
    0.70  0      POINT (10 2.303 0 17.86)
    0.80  0      POINT (10 4.869 0 20.38)
    0.90  0      POINT (10 7.434 0 22.89)
    1.00  0      POINT (10 10 0 25.4)
    0.00  1      POINT (-3.29289321881345 -4.70710678118655 0 1)
    0.10  1      POINT (-1.479 -2.893 0 3.09)
    0.20  1      POINT (0.335 -1.079 0 5.17)
    0.30  1      POINT (2.04 -1 0 7.64)
    0.40  1      POINT (4.606 -1 0 10.21)
    0.50  1      POINT (7.172 -1 0 12.78)
    0.60  1      POINT (9.737 -1 0 15.35)
    0.70  1      POINT (11 2.303 0 17.86)
    0.80  1      POINT (11 4.869 0 20.38)
    0.90  1      POINT (11 7.434 0 22.89)
    1.00  1      POINT (11 10 0 25.4)

    -- Circular Curve test.

EXAMPLE

      select o.IntValue as offset,
             f.ratio,
             [lrs].[STFindPointByRatio] (
                geometry::STGeomFromText('COMPOUNDCURVE(CIRCULARSTRING (3 6.3246, 0 7, -3 6.3246),(-3 6.3246, 0 0, 3 6.3246))',0),
                f.ratio,
                o.IntValue,
                2,
                3,
                2
             ).AsTextZM() as fPoint
        from (select 0.01 * CAST(t.IntValue as numeric) as ratio
                from [dbo].[Generate_Series](0,100,10) as t
             ) as f
             cross apply 
             [dbo].[generate_series](-1,1,1) as o
        order by o.IntValue, f.ratio
      GO
      
      offset ratio fPoint
      -1     0.00  POINT (2.571 5.421)
      -1     0.10  POINT (0.922 5.929)
      -1     0.20  POINT (-0.803 5.946)
      -1     0.30  POINT (-2.462 5.472)
      -1     0.40  POINT (-1.29 5.055)
      -1     0.50  POINT (-0.425 3.23)
      -1     0.60  POINT (0.441 1.405)
      -1     0.70  POINT (-0.501 1.278)
      -1     0.80  POINT (0.364 3.103)
      -1     0.90  POINT (1.23 4.928)
      -1     1.00  POINT (2.09649092475221 6.75316895704762)
      0      0.00  POINT (3 6.3246)
      0      0.10  POINT (1.076 6.917)
      0      0.20  POINT (-0.937 6.937)
      0      0.30  POINT (-2.872 6.384)
      0      0.40  POINT (-2.194 4.626)
      0      0.50  POINT (-1.329 2.801)
      0      0.60  POINT (-0.463 0.976)
      0      0.70  POINT (0.403 0.849)
      0      0.80  POINT (1.268 2.674)
      0      0.90  POINT (2.134 4.499)
      0      1.00  POINT (3 6.3246)
      1      0.00  POINT (3.429 7.228)
      1      0.10  POINT (1.23 7.905)
      1      0.20  POINT (-1.071 7.928)
      1      0.30  POINT (-3.283 7.295)
      1      0.40  POINT (-3.098 4.197)
      1      0.50  POINT (-2.233 2.372)
      1      0.60  POINT (-1.367 0.547)
      1      0.70  POINT (1.307 0.42)
      1      0.80  POINT (2.172 2.245)
      1      0.90  POINT (3.038 4.07)
      1      1.00  POINT (3.90350907524779 5.89603104295238)

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2017 - Original Coding.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

10. LRS/STFindPointsByMeasures (2012) [ Functions ]

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NAME

    STFindPointsByMeasures -- Returns (possibly offset) point geometry at supplied measure along linestring.

SYNOPSIS

    Function [$(lrsowner)].[STFindPointsByMeasures] (
               @p_linestring   geometry,
               @p_measure      Float,
               @p_offsets      varchar(1000),
               @p_radius_check int   = 0,
               @p_round_xy     int   = 3,
               @p_round_zm     int   = 2
             )
     Returns geometry 

DESCRIPTION

    Given a measure, this function returns a geometry point at that measure.
    If a non-zero/null value is suppied for @p_offset, the found point is offset (perpendicular to line)
    to the left (if @p_offset < 0) or to the right (if @p_offset > 0).
    If a genenerated point is on the side of the centre of a CircularString ie offset > radius: 
        0 returns the offset point regardless.
        1 causes NULL to be returned; 
        2 returns centre point; 

NOTES

    Supports LineStrings with CircularString elements.

INPUTS

    @p_linestring (geometry) - Linestring geometry with measures.
    @p_measure       (float) - Measure defining position of point to be located.
    @p_offsets     (varchar) - A set of offsets coded in a CSV string eg '-2,0,2' 
    @p_radius_check    (int) - If Point disappears in CircularString: 1 causes NULL to be returned; 2 returns centre point; 0 returns the offset point regardless.
    @p_round_xy        (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm        (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    point         (geometry) - Point at provided measure offset to left or right.

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2017 - Original Coding.

11. LRS/STFindSegmentByLengthRange (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STFindSegmentByLengthRange -- Extracts, and possibly offet, linestring using supplied start and end lengths and @p_offset value.

SYNOPSIS

    Function [$(lrsowner)].[STFindSegmentByLengthRange] (
               @p_linestring   geometry,
               @p_start_length Float,
               @p_end_length   Float = null,
               @p_offset       Float = 0,
               @p_radius_check int   = 1,
               @p_round_xy     int   = 3,
               @p_round_zm     int   = 2
             )
     Returns geometry 

DESCRIPTION

    Given a start and end length, this function extracts the line segment defined between them (a point if start=end).
    If a non-zero value is suppied for @p_offset, the extracted line is then offset to the left (if @p_offset < 0) or
    to the right (if @p_offset > 0).
    If a genenerated point is on the side of the centre of a CircularString ie offset > radius, @p_radius_check: 
        0 returns the offset point regardless.
        1 causes NULL to be returned; 
        2 returns centre point; 

NOTES

    Supports linestrings with CircularString elements.

INPUTS

    @p_linestring (geometry) - Linestring geometry.
    @p_start_measure (float) - Measure defining start point of located geometry.
    @p_end_measure   (float) - Measure defining end point of located geometry.
    @p_offset        (float) - Offset (distance) value left (negative) or right (positive) in p_units.
    @p_radius_check    (int) - 0 returns the offset point regardless; 1 causes NULL to be returned; 2 returns centre point; 
    @p_round_xy        (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm        (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    line          (geometry) - Line between start/end measure with offset.

EXAMPLE

    with data as (
      select geometry::STGeomFromText('LINESTRING(-4 -4 0  1, 0  0 0  5.6, 10  0 0 15.61, 10 10 0 25.4)',0) as linestring
      union all
      select geometry::STGeomFromText('COMPOUNDCURVE(CIRCULARSTRING (3 6.3246, 0 7, -3 6.3246),(-3 6.3246, 0 0, 3 6.3246))',0) as linestring
      union all
      select geometry::STGeomFromText('MULTILINESTRING ((-4 -4 NULL 0, 0 0 NULL 5.657), (10 0 NULL 5.657, 10 10 NULL 15.657), (11 11 NULL 15.657, 12 12 NULL 17.071))',0) as linestring
    )
    select a.linestring.STGeometryType() as geom_type,
           CAST(g.IntValue+1 as numeric) / 2.0 as start_length,
           g.intValue+1.0                      as end_length,
           [$(lrsowner)].[STFindSegmentByLengthRange](
                    a.linestring,
                    CAST(g.IntValue   as numeric) / 2.0,
                    CAST(g.IntValue+1 as numeric),
                    0.0,
                    3,2
           ).AsTextZM() as fsegment
      from data as a
           cross apply
           generate_series(0,
                           round(a.lineString.STLength(),0),
                           round(a.lineString.STLength(),0)/8.0 ) as g
     order by geom_type, start_length
    GO
    
    geom_type       start_length end_length fsegment
    CompoundCurve    0.5          1.0       CIRCULARSTRING (2.069 6.687, 0 7, 3 6.325)
    CompoundCurve    1.5          3.0       CIRCULARSTRING (0.1 6.999, 0 7, 2.069 6.687)
    CompoundCurve    2.5          5.0       CIRCULARSTRING (-1.876 6.744, 0 7, 1.096 6.914)
    CompoundCurve    3.5          7.0       COMPOUNDCURVE ((-2.657 5.603, -3 6.325), CIRCULARSTRING (-3 6.325, 0 7, 0.1 6.999))
    CompoundCurve    4.5          9.0       COMPOUNDCURVE (CIRCULARSTRING (-0.897 6.942, 0 7, -3 6.325), (-3 6.325, -1.8 3.796))
    CompoundCurve    5.5         11.0       COMPOUNDCURVE (CIRCULARSTRING (-1.876 6.744, 0 7, -3 6.325), (-3 6.325, -0.943 1.989))
    CompoundCurve    6.5         13.0       COMPOUNDCURVE (CIRCULARSTRING (-2.817 6.408, 0 7, -3 6.325), (-3 6.325, -0.086 0.182))
    CompoundCurve    7.5         15.0       LINESTRING (0.771 1.625, 0 0, -2.657 5.603)
    CompoundCurve    8.5         17.0       LINESTRING (1.628 3.432, 0 0, -2.229 4.699)
    CompoundCurve    9.5         19.0       LINESTRING (2.485 5.239, 0 0, -1.8 3.796)
    CompoundCurve   10.5         21.0       LINESTRING (3 6.325, 0 0, -1.372 2.892)
    LineString       0.5          1.0       LINESTRING (-3.293 -3.293 0 1.81, -4 -4 0 1)
    LineString       2.0          4.0       LINESTRING (-1.172 -1.172 0 4.25, -2.939 -2.939 0 2.22)
    LineString       3.5          7.0       LINESTRING (1.343 0 0 6.94, 0 0 0 5.6, -1.879 -1.879 0 3.44)
    LineString       5.0         10.0       LINESTRING (4.343 0 0 9.95, 0 0 0 5.6, -0.818 -0.818 0 4.66)
    LineString       6.5         13.0       LINESTRING (7.343 0 0 12.95, 0.343 0 0 5.94)
    LineString       8.0         16.0       LINESTRING (10 0.343 0 15.95, 10 0 0 15.61, 1.843 0 0 7.44)
    LineString       9.5         19.0       LINESTRING (10 3.343 0 18.88, 10 0 0 15.61, 3.343 0 0 8.95)
    LineString      11.0         22.0       LINESTRING (10 6.343 0 21.82, 10 0 0 15.61, 4.843 0 0 10.45)
    LineString      12.5         25.0       LINESTRING (10 9.343 0 24.76, 10 0 0 15.61, 6.343 0 0 11.95)
    MultiLineString  0.5          1.0       LINESTRING (-3.293 -3.293 NULL 1, -4 -4 NULL 0)
    MultiLineString  1.5          3.0       LINESTRING (-1.879 -1.879 NULL 3, -3.293 -3.293 NULL 1)
    MultiLineString  2.5          5.0       LINESTRING (-0.464 -0.464 NULL 5, -2.586 -2.586 NULL 2)
    MultiLineString  3.5          7.0       MULTILINESTRING ((10 1.343 NULL 7, 10 0 NULL 5.66), (0 0 NULL 5.66, -1.879 -1.879 NULL 3))
    MultiLineString  4.5          9.0       MULTILINESTRING ((10 3.343 NULL 9, 10 0 NULL 5.66), (0 0 NULL 5.66, -1.172 -1.172 NULL 4))
    MultiLineString  5.5         11.0       MULTILINESTRING ((10 5.343 NULL 11, 10 0 NULL 5.66), (0 0 NULL 5.66, -0.464 -0.464 NULL 5))
    MultiLineString  6.5         13.0       LINESTRING (10 7.343 NULL 13, 10 0.343 NULL 6)
    MultiLineString  7.5         15.0       LINESTRING (10 9.343 NULL 15, 10 1.343 NULL 7)
    MultiLineString  8.5         17.0       MULTILINESTRING ((11.95 11.95 NULL 17, 11 11 NULL 15.66), (10 10 NULL 15.66, 10 2.343 NULL 8))

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2017 - Original Coding.

12. LRS/STFindSegmentByMeasureRange (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STFindSegmentByMeasureRange -- Extracts, and possibly offet, linestring using supplied start and end measures and @p_offset value.

SYNOPSIS

    Function [$(lrsowner)].[STFindSegmentByMeasureRange] (
               @p_linestring    geometry,
               @p_start_measure Float,
               @p_end_measure   Float = null,
               @p_offset        Float = 0,
               @p_radius_check  int   = 1,
               @p_round_xy      int   = 3,
               @p_round_zm      int   = 2
             )
     Returns geometry 

DESCRIPTION

    Given a start and end measure, this function extracts the line segment defined between them (a point if start=end).

    If a non-zero value is suppied for @p_offset, the extracted line is then offset to the left (if @p_offset < 0) or to the right (if @p_offset > 0).

    Computes Z and M values if exist on @p_linestring.

    If a genenerated point is on the side of the centre of a CircularString ie offset > radius: 
        0 returns the offset point regardless.
        1 causes NULL to be returned; 
        2 returns centre point; 

NOTES

    Supports linestrings with CircularString elements.

INPUTS

    @p_linestring (geometry) - Linestring geometry with measures.
    @p_start_measure (float) - Measure defining start point of located geometry.
    @p_end_measure   (float) - Measure defining end point of located geometry.
    @p_offset        (float) - Offset (distance) value left (negative) or right (positive) in SRID units.
    @p_radius_check    (int) - 0 returns the offset point regardless; 1 causes NULL to be returned; 2 returns centre point; 
    @p_round_xy        (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm        (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    line          (geometry) - Line between start/end measure with offset.

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2017 - Original Coding.
    Simon Greener - December 2019 - Coalesced circularString and Linestring code under one function; Added @p_radius_check.

COPYRIGHT

    (c) 2008-2019 by TheSpatialDBAdvisor/Simon Greener

13. LRS/STGetMeasureAndOffset (2012) [ Methods ]

[ Top ] [ Methods ]

NAME

SYNOPSIS

   Returns @data 

DESCRIPTION


NOTES

INPUTS

RESULT

EXAMPLE

AUTHOR

HISTORY

COPYRIGHT

14. LRS/STInterpolatePoint (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STInterpolatePoint -- Returns value of the measure dimension or length of a point on the provided linesting closest to the provided point.

SYNOPSIS

    Function [$(lrsowner)].[STInterpolatePoint] (
               @p_linestring geometry,
               @p_point      geometry,
               @p_round_xy   int   = 3,
               @p_round_zm   int   = 2
             )
     Returns float

DESCRIPTION

    This function snaps supplied point to @p_linestring, computes and returns the measure value of the snapped point, or length to the snapped point.

    @p_linestring can be measured or unmeasured.

    Returned value is rounded to @p_round_zm decimal digits of precision.

NOTES

    IS a wrapper over STFindMeasureByPoint that returns Measure or length.

    Is implementation of PostGIS ST_InterpolatePoint

    Supports linestrings with CircularString elements.

    Srid of @p_linestring and @p_point must be the same.

INPUTS

    @p_linestring (geometry) - Measured linestring with or without Z ordinates.
    @p_point      (geometry) - Point near to linestring.
    @p_round_xy        (int) - Decimal digits of precision for XY ordinates.
    @p_round_zm        (int) - Decimal digits of precision for M ordinate.

RESULT

    measure value    (float) - Measure of point found on @p_linestring.

EXAMPLE

    Print '  [$(lrsowner)].[STInterpolatePoint] ...';
    GO
    Print '....Measured LineStrings';
    select [lrs].[STInterpolatePoint] (
             geometry::STGeomFromText('LINESTRING(-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)',28355),
             geometry::Point(8,8,28355),
             3,2) as measure
    union all
    select [lrs].[STInterpolatePoint] (
             geometry::STGeomFromText('LINESTRING(-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)',28355),
             geometry::Point(10,0,28355),
             3,2) as measure
    GO
    
    measure
    23.44
    15.61
    
    Print '....UnMeasured LineStrings';
    select [lrs].[STInterpolatePoint] (
             geometry::STGeomFromText('LINESTRING(-4 -4, 0 0, 10 0, 10 10)',28355),
             geometry::Point(8,8,28355),
             3,3) as measure
    union all
    select [lrs].[STInterpolatePoint] (
             geometry::STGeomFromText('LINESTRING(-4 -4, 0 0, 10 0, 10 10)',28355),
             geometry::Point(10,0,28355),
             3,3) as measure
    GO
    
    measure
    23.657
    15.657

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original coding.
    Simon Greener - December 2017 - Port to SQL Server (TSQL).

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

15. LRS/STIsMeasured (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STIsMeasured -- Function checks if supplied linestring has measures.

SYNOPSIS

    Function [$(lrsowner)].[STIsMeasured] (
       @@p_geometry geometry
     )
     Returns varchar(5)

USAGE

    WITH data AS (
     select geometry::STGeomFromText('COMPOUNDCURVE (CIRCULARSTRING (3 6.3 1.1 0, 0 7 1.1 3.1, -3 6.3 1.1 9.3), (-3 6.3 1.1 9.3, 0 0 1.4 16.3, 3 6.3 1.6 20.2))',0) as Geom
     union all
     select geometry::STGeomFromText('LINESTRING(0 0, 100 100)',0) 
     union all
     select geometry::STGeomFromText('LINESTRING(0 0 0.1, 100 100 99.8)',0) 
     union all
     select geometry::STGeomFromText('LINESTRING(0 0 0 0.1, 100 100 0 99.8)',0) 
     union all
     select geometry::STPointFromText('POINT(0 0)',0) 
     union all
     select geometry::STPointFromText('POINT(0 0 1.1)',0) 
     union all
     select geometry::STPointFromText('POINT(0 0 1.1 2.2)',0) 
    )
    SELECT d.geom.STGeometryType() as gType, 
           [dbo].[STCoordDim](d.geom) as cDim,
           [lrs].[STIsMeasured]( d.geom ) as isMeasured
      FROM data as d;
    GO
    
    gType         cDim isMeasured
    CompoundCurve 4          TRUE
    LineString    2         FALSE
    LineString    3         FALSE
    LineString    4          TRUE
    Point         2         FALSE
    Point         3         FALSE
    Point         4          TRUE

DESCRIPTION

    Returns TRUE if @p_linestring has measures, FALSE otherwise.
    Supports CircularString and CompoundCurve geometry objects and subelements from 2012 onewards.

INPUTS

    @p_geometry (geometry) - Supplied geometry.

RESULT

    BOOLEAN (varchar5) - True if @p_geometry has measures otherwise False.

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2018 - Original Coding.

COPYRIGHT

    (c) 2008-2017 by TheSpatialDBAdvisor/Simon Greener

16. LRS/STIsMeasureDecreasing (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STIsMeasureDecreasing -- Checks if M values decrease in value over the whole linestring.

SYNOPSIS

    Function STIsMeasureDecreasing (
      @p_linestring geometry
    )
   Returns varchar(5)

DESCRIPTION

    Checks all measures of all vertices in a linestring from start to end.
    Computes difference between each pair of measures. 
    If all measure differences decrease then TRUE is returned, otherwise FALSE. 
    For non-measured line-strings the value is always TRUE.
    Supports Linestrings with CircularString elements (2012).

RESULT

    boolean (varchar 5) - TRUE if measures are decreasing, FALSE otherwise.

EXAMPLE

    select [lrs].[STIsMeasureDecreasing](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3,2 2 3 4),(3 3 4 5,4 4 5 6))',0)) as is_decreasing
    union all
    select [lrs].[STIsMeasureDecreasing](geometry::STGeomFromText('MULTILINESTRING((4 4 5 6,3 3 4 5),(2 2 3 4,1 1 2 3))',0)) as is_decreasing
    union all
    select [lrs].[STIsMeasureDecreasing](geometry::STGeomFromText('CIRCULARSTRING (3 6.325 NULL 0, 0 7 NULL 3.08, -3 6.325 NULL 6.15)',0)) as is_decreasing
    GO
 
    is_decreasing
    FALSE
    TRUE
    FALSE

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original Coding.
    Simon Greener - December 2017 - Port to SQL Server.

COPYRIGHT

    (c) 2012-2018 by TheSpatialDBAdvisor/Simon Greener

17. LRS/STIsMeasureIncreasing (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STIsMeasureIncreasing -- Checks if M values increase in value over the whole linestring.

SYNOPSIS

    Function STIsMeasureIncreasing (
      @p_linestring geometry
    )
   Returns varchar(5)

DESCRIPTION

    Checks all measures of all vertices in a linestring from start to end.
    Computes difference between each pair of measures. 
    If all measure differences increase then TRUE is returned, otherwise FALSE. 
    For non-measured line-strings the value is always TRUE.
    Supports Linestrings with CircularString elements (2012).

RESULT

    boolean (varchar 5) - TRUE if measures are increasing, FALSE otherwise.

EXAMPLE

    select [lrs].[STIsMeasureIncreasing](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3, 2 2 3 4),(3 3 4 5,4 4 5 6))',0)) as is_increasing
    union all
    select [lrs].[STIsMeasureIncreasing]([dbo].[STReverse](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3, 2 2 3 4),(3 3 4 5,4 4 5 6))',0),1,1)) as is_increasing
    union all
    select [lrs].[STIsMeasureIncreasing](geometry::STGeomFromText('CIRCULARSTRING (3 6.325 NULL 0, 0 7 NULL 3.08, -3 6.325 NULL 6.15)',0)) as is_increasing
    GO
    
    is_increasing
    TRUE
    FALSE
    TRUE

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original Coding.
    Simon Greener - December 2017 - Port to SQL Server.

COPYRIGHT

    (c) 2012-2018 by TheSpatialDBAdvisor/Simon Greener

18. LRS/STLineInterpolatePoint (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STLineInterpolatePoint -- Returns point geometry at supplied fraction along linestring.

SYNOPSIS

    Function [$(lrsowner)].[STLineInterpolatePoint] (
               @p_linestring   geometry,
               @p_fraction     Float
               @p_round_xy     int = 3,
               @p_round_zm     int = 2
             )
     Returns geometry 

DESCRIPTION

    Given a fraction between 0 and 1.0, this function returns a geometry point at the position described by that ratio.

    Ratio is combined with length, so @p_ratio of 1.0 is equivalent to @p_linestring.STLength() ie @p_linestring.STEndPoint().
    For example, @p_ratio value of 0.5 returns point at exact midpoint of linestring (ct centroid).

    Supports measured and unmeasured linestrings.

    Supports LineStrings with CircularString elements.

NOTES

    Wrapper over lrs.STFindPointByRatio

    Implements PostGIS ST_LineInterpolatePoint function.

INPUTS

    @p_linestring (geometry) - Linestring (including CircularString) geometry.
    @p_ratio         (float) - Length ratio between 0.0 and 1.0. If Null, @p_linestring is returned.
    @p_round_xy        (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm        (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    point         (geometry) - Point at provided measure/length fraction from start.

EXAMPLE

    -- Linestring
    select f.fraction,
           [$(lrsowner)].[STLineInterpolatePoint] (
              @p_linestring geometry::STGeomFromText('LINESTRING(-4 -4 0  1, 0  0 0  5.6, 10  0 0 15.61, 10 10 0 25.4)',0),
              @p_fraction   f.fraction,
              0,
              @p_round_xy   4,
              @p_round_zm   3
           ).AsTextZM() as fPoint
      from (select 0.01 * CAST(t.IntValue as numeric) as fraction
              from [dbo].[Generate_Series](1,100,10) as t
           ) as f
      order by f.fraction
    GO
    
    fraction fPoint
    0.01     POINT (-3.8186 -3.8186 0 1.046)
    0.11     POINT (-2.0044 -2.0044 0 1.506)
    0.21     POINT (-0.1902 -0.1902 0 1.966)
    0.31     POINT (2.2968 0 0 6.496)
    0.41     POINT (4.8625 0 0 7.497)
    0.51     POINT (7.4281 0 0 8.498)
    0.61     POINT (9.9938 0 0 9.499)
    0.71     POINT (10 2.5595 0 16.587)
    0.81     POINT (10 5.1252 0 17.566)
    0.91     POINT (10 7.6909 0 18.545)
 
    -- Unmeasured 2D Compound curve test.
    select f.fraction,
           [$(lrsowner)].[STLineInterpolatePoint] (
              geometry::STGeomFromText('COMPOUNDCURVE(CIRCULARSTRING (3 6.3246, 0 7, -3 6.3246),(-3 6.3246, 0 0, 3 6.3246))',0),
              f.fraction,
              4,
              3
           ).AsTextZM() as fPoint
      from (select 0.01 * CAST(t.IntValue as numeric) as fraction
              from [dbo].[Generate_Series](1,100,10) as t
           ) as f
      order by f.fraction
    GO

    fraction fPoint
    0.01     POINT (2.8163 6.4085)
    0.11     POINT (0.876 6.945)
    0.21     POINT (-1.1367 6.9071)
    0.31     POINT (-2.9736 6.269)
    0.41     POINT (-2.1079 4.4439)
    0.51     POINT (-1.2421 2.6187)
    0.61     POINT (-0.3764 0.7935)
    0.71     POINT (0.4893 1.0316)
    0.81     POINT (1.3551 2.8568)
    0.91     POINT (2.2208 4.682)

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - July 2019 - Original Coding.

COPYRIGHT

    (c) 2008-2019 by TheSpatialDBAdvisor/Simon Greener

19. LRS/STLineLocatePoint (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STLineLocatePoint -- Returns a float between 0 and 1 representing the location of the closest point on LineString to the given Point

SYNOPSIS

    Function [$(lrsowner)].[STLineLocatePoint] (
               @p_linestring geometry,
               @p_point      geometry,
               @p_round_xy   int   = 3,
               @p_round_zm   int   = 2
             )
     Returns geometry

DESCRIPTION

    Given a point near a the supplied measure @p_linestring, this function returns the measure/length ratio of the found positions. 

NOTES

    Is identical to PostGIS's ST_LineLocatePoint.

    Srid of @p_linestring and @p_point must be the same.

    If @p_linestring is measured ratio returned is measure of located point / MeasureRange of linestring.

    If @p_linestring is not measured the ratio returned is position of located point from start / STLenth of linestring.

INPUTS

    @p_linestring (geometry) - Measured linestring with or without Z ordinates.
    @p_point      (geometry) - Point near to linestring.
    @p_round_xy        (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm        (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    ratio value      (float) - Ratio of  point found on @p_linestring.

EXAMPLE

   select [$(lrsowner)].[STLineLocatePoint] (
              geometry::STGeomFromText('LINESTRING(-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)',28355),
              geometry::Point(8,8,28355),
              default,
              default
          ) as ratio
    union all
    select [lrs].[STLineLocatePoint] (
             geometry::STGeomFromText('LINESTRING(-4 -4,0 0,10 0,10 10)',28355),
             geometry::Point(10,0,28355),
             4,
             8
          ) as ratio
    GO

    ratio
    23.44
    15.61

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - July 2019 

COPYRIGHT

    (c) 2008-2019 by TheSpatialDBAdvisor/Simon Greener

20. LRS/STLineSubstring (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

  STLineSubstring -- Returns a substring of the provided linestring starting and ending at the given fractions (between 0 and 1) of total 2d length or measure range.

SYNOPSIS

    Function [$(lrsowner)].[STLineSubstring] (
               @p_linestring     geometry,
               @p_start_fraction Float,
               @p_end_fraction   Float = null,
               @p_offset         Float = 0,
               @p_round_xy       int   = 3,
               @p_round_zm       int   = 2
             )
     Returns geometry 

DESCRIPTION

    Given a start and end measure, this function extracts the line segment defined between them (a point if start=end).

    If a non-zero value is suppied for @p_offset, the extracted line is then offset to the left (if @p_offset < 0) or to the right (if @p_offset > 0).

NOTES

    Supports linestrings with CircularString elements.

    Supports measured and unmeasured linestrings.

    Is wrapper over STFindSegmentByMeasureRange.

    Provides implementation of PostGIS's ST_LocateBetween(geometry geomA, float8 measure_start, float8 measure_end, float8 offset);

INPUTS

    @p_linestring  (geometry) - Linestring geometry with measures.
    @p_start_fraction (float) - Value defining start point of located geometry.
    @p_end_fraction   (float) - Value defining end point of located geometry.
    @p_offset         (float) - Offset (distance) value left (negative) or right (positive) in SRID units.
    @p_round_xy         (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm         (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    line          (geometry) - Line between start/end measure with offset.

EXAMPLE

    -- Measured Linestring
    Print '....Line SubString';
    select [lrs].[STLineSubstring] (
             geometry::STGeomFromText('LINESTRING(-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)',28355),
             0.0,1.0,0.0,3,2).AsTextZM() as line
    union all
    select [lrs].[STLineSubstring] (
             geometry::STGeomFromText('LINESTRING(-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)',28355),
             0.0,0.5,0.0,3,2).AsTextZM() as line
    GO
    
    line
    LINESTRING (-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)
    LINESTRING (-4 -4 0 1, 0 0 0 5.6, 13.2 0 0 13.2)
    
     -- UnMeasured LineStrings';
    select [lrs].[STLineSubstring] (
             geometry::STGeomFromText('LINESTRING(-4 -4, 0 0, 10 0, 10 10)',28355),
             0.0,1.0,0.0,3,2).AsTextZM() as line
    union all
    select [lrs].[STLineSubstring] (
             geometry::STGeomFromText('LINESTRING(-4 -4, 0 0, 10 0, 10 10)',28355),
             0.0,0.5,0.0,3,2).AsTextZM() as line
    GO
    
    line
    LINESTRING (-4 -4, 0 0, 10 0, 10 10)
    LINESTRING (-4 -4, 0 0, 7.172 0)

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - July 2019 - Original Coding.

COPYRIGHT

    (c) 2008-2019 by TheSpatialDBAdvisor/Simon Greener

21. LRS/STLocateAlong (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STLocateAlong -- Returns (possibly offset) point geometry at supplied measure along linestring.

SYNOPSIS

    Function [$(lrsowner)].[STLocateAlong] (
               @p_linestring geometry,
               @p_measure    Float,
               @p_offset     Float = 0.0,
               @p_round_xy   int   = 3,
               @p_round_zm   int   = 2
             )
     Returns geometry 

DESCRIPTION

    This function is identical to STFindPointByName and so is a synonym for it.

    Given a measure, this function returns a geometry point at that measure.

    Only the measure's first point is returned as measures are assume to be organised in ascending or descending order and so are unique.

    If a non-zero/null value is suppied for @p_offset, the found point is offset (perpendicular to line) to the left (if @p_offset < 0) or to the right (if @p_offset > 0).

    Computed point's ordinate values are rounded to @p_round_xy/@p_round_zm decimal digits of precision.

NOTES

    Implements PostGIS's ST_LocateAlong(geometry ageom_with_measure, float8 a_measure, float8 offset) except that because
    measures are assumed to be organised in ascending or descending order and so are unique, only one point can be returned
    and not multiple as in the PostGIS example.

    Supports LineStrings with CircularString elements.

INPUTS

    @p_linestring (geometry) - Linestring geometry with measures.
    @p_measure       (float) - Measure defining position of point to be located.
    @p_offset        (float) - Offset (distance) value left (negative) or right (positive) in STSrid units.
    @p_round_xy        (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm        (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    point         (geometry) - Point at provided measure optionally offset to left or right.

EXAMPLE

    -- Linestring.
    with data as (
      select geometry::STGeomFromText('LINESTRING(-4 -4 0  1, 0  0 0  5.6, 10  0 0 15.61, 10 10 0 25.4)',28355) as linestring
    )
    select g.intValue as measure,
           o.IntValue as offset,
           [$(lrsowner)].[STLocateAlong](linestring,g.IntValue,o.IntValue,3,2).AsTextZM() as fPoint
      from data as a
           cross apply
           [dbo].[generate_series](a.lineString.STPointN(1).M, round(a.lineString.STPointN(a.linestring.STNumPoints()).M,0,1), 2 ) as g
           cross apply
           [dbo].[generate_series](-1,1,1) as o
    union all
    select g.intValue as measure,
           o.IntValue as offset,
           [$(lrsowner)].[STLocateAlong](linestring, linestring.STPointN(g.IntValue).M, o.IntValue,3,2).AsTextZM() as fPoint
      from data as a
           cross apply
           [dbo].[generate_series](1, a.lineString.STNumPoints(), 1 ) as g
           cross apply
           [dbo].[generate_series](-1,1,1) as o
    GO
    
    measure offset fPoint
          1     -1 POINT (-0.707 0.707 NULL 1)
          1      0 POINT (-4 -4 0 1)
          1      1 POINT (0.707 -0.707 NULL 1)
          3     -1 POINT (-3.293 -1.879 NULL 3)
          3      0 POINT (-2.586 -2.586 NULL 3)
          3      1 POINT (-1.879 -3.293 NULL 3)
          5     -1 POINT (-1.879 -0.465 NULL 5)
          5      0 POINT (-1.172 -1.172 NULL 5)
          5      1 POINT (-0.465 -1.879 NULL 5)
          7     -1 POINT (1.4 1 NULL 7)
          7      0 POINT (1.4 0 NULL 7)
          7      1 POINT (1.4 -1 NULL 7)
          9     -1 POINT (3.4 1 NULL 9)
          9      0 POINT (3.4 0 NULL 9)
          9      1 POINT (3.4 -1 NULL 9)
         11     -1 POINT (5.4 1 NULL 11)
         11      0 POINT (5.4 0 NULL 11)
         11      1 POINT (5.4 -1 NULL 11)
         13     -1 POINT (7.4 1 NULL 13)
         13      0 POINT (7.4 0 NULL 13)
         13      1 POINT (7.4 -1 NULL 13)
         15     -1 POINT (9.4 1 NULL 15)
         15      0 POINT (9.4 0 NULL 15)
         15      1 POINT (9.4 -1 NULL 15)
         17     -1 POINT (9 1.39 NULL 17)
         17      0 POINT (10 1.39 NULL 17)
         17      1 POINT (11 1.39 NULL 17)
         19     -1 POINT (9 3.39 NULL 19)
         19      0 POINT (10 3.39 NULL 19)
         19      1 POINT (11 3.39 NULL 19)
         21     -1 POINT (9 5.39 NULL 21)
         21      0 POINT (10 5.39 NULL 21)
         21      1 POINT (11 5.39 NULL 21)
         23     -1 POINT (9 7.39 NULL 23)
         23      0 POINT (10 7.39 NULL 23)
         23      1 POINT (11 7.39 NULL 23)
         25     -1 POINT (9 9.39 NULL 25)
         25      0 POINT (10 9.39 NULL 25)
         25      1 POINT (11 9.39 NULL 25)
          1     -1 POINT (-0.707 0.707 NULL 1)
          1      0 POINT (-4 -4 0 1)
          1      1 POINT (0.707 -0.707 NULL 1)
          2     -1 POINT (-0.707 0.707 NULL 5.6)
          2      0 POINT (0 0 0 5.6)
          2      1 POINT (0.707 -0.707 NULL 5.6)
          3     -1 POINT (10 1 NULL 15.61)
          3      0 POINT (10 0 0 15.61)
          3      1 POINT (10 -1 NULL 15.61)
          4     -1 POINT (9 10 NULL 25.4)
          4      0 POINT (10 10 0 25.4)
          4      1 POINT (11 10 NULL 25.4)

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2017 - Original Coding.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

22. LRS/STLocateBetween (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STLocateBetween -- Extracts, and possibly offet, linestring using supplied start and end measures and @p_offset value.

SYNOPSIS

    Function [$(lrsowner)].[STLocateBetween] (
               @p_linestring    geometry,
               @p_start_measure Float,
               @p_end_measure   Float = null,
               @p_offset        Float = 0,
               @p_round_xy      int   = 3,
               @p_round_zm      int   = 2
             )
     Returns geometry 

DESCRIPTION

    Given a start and end measure, this function extracts the line segment defined between them (a point if start=end).

    If a non-zero value is suppied for @p_offset, the extracted line is then offset to the left (if @p_offset < 0) or to the right (if @p_offset > 0).

NOTES

    Supports linestrings with CircularString elements.

    Supports measured and unmeasured linestrings.

    Is wrapper over STFindSegmentByMeasureRange.

    Provides implementation of PostGIS's ST_LocateBetween(geometry geomA, float8 measure_start, float8 measure_end, float8 offset);

INPUTS

    @p_linestring (geometry) - Linestring geometry with measures.
    @p_start_measure (float) - Measure defining start point of located geometry.
    @p_end_measure   (float) - Measure defining end point of located geometry.
    @p_offset        (float) - Offset (distance) value left (negative) or right (positive) in SRID units.
    @p_round_xy        (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm        (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    line          (geometry) - Line between start/end measure with offset.

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2017 - Original Coding.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

23. LRS/STLocateBetweenElevations (2008) [ Functions ]

[ Top ] [ Functions ]

NAME

    STLocateBetweenElevations -- Computes and returns elements that intersect the specified Z range.

SYNOPSIS

    Function [$(lrsowner)].[STLocateBetweenElevations] (
               @p_linestring geometry,
               @p_start_z    Float,
               @p_end_z      Float = null,
               @p_round_xy   int   = 3,
               @p_round_zm   int   = 2
             )
     Returns geometry 

DESCRIPTION

    Is implementation of PostGIS:

       geometry ST_LocateBetweenElevations(geometry geom_mline, 
                                           float8 elevation_start,
                                           float8 elevation_end);

    Processes the supplied (3D, 3DM) (multi)linestring returning the elements that intersect the specified range of elevations inclusively.

    May return Points and/or linestrings in the appropriate geometry type.

    Where a new xy position is to be computed, the value is rounded using @p_round_xm.

    Computes M values if exist on @p_linestring and rounds the values based on @p_round_zm..

NOTES

    Does not currently support Linestrings with CircularString elements (2012+).

INPUTS

    @p_linestring (geometry) - Linestring geometry with Z ordinates (could have M ordinates).
    @p_start_z       (float) - Start Elevation.
    @p_end_z         (float) - End Elevation.
    @p_round_xy        (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm        (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    geometry      (geometry) - Geometry of the appropriate type.

EXAMPLE

    -- PostGIS 1
    select [$(lrsowner)].[STLocateBetweenElevations](
             geometry::STGeomFromText('LINESTRING(1 2 3, 4 5 6)',0),
             2,4, 
             3,2).AsTextZM() as geomZ;
    
    geomz
    LINESTRING (1 2 3, 2 3 4)
    
    -- PostGIS 2
    select [$(lrsowner)].[STLocateBetweenElevations](
             geometry::STGeomFromText('LINESTRING(1 2 6, 4 5 -1, 7 8 9)',0),
             6,9, 
             3,2).AsTextZM() as geomZ;
 
    geomz
    GEOMETRYCOLLECTION (POINT (1 2 6), LINESTRING (6.1 7.1 6, 7 8 9))

    -- PostGIS 3
    SELECT d.geom.AsTextZM() as geomWKT
      FROM (SELECT [$(lrsowner)].[STLocateBetweenElevations](
                     geometry::STGeomFromText('LINESTRING(1 2 6, 4 5 -1, 7 8 9)',0),
                     6,9,
                     3,2
                   ) As the_geom
           ) As foo
           cross apply
           [$(owner)].[STExtract](foo.the_geom,default) as d;
    
    geomWKT
    POINT (1 2 6)
    LINESTRING (6.1 7.1 6, 7 8 9)

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - July 2019 - Original Coding.

COPYRIGHT

    (c) 2008-2019 by TheSpatialDBAdvisor/Simon Greener

24. LRS/STMeasureRange (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STMeasureRange -- Returns (Last Point M Value) - (First Point M Value) or length if not measured.

SYNOPSIS

    Function STMeasureRange (
      @p_linestring geometry
    )
   Returns varchar(5)

DESCRIPTION

    If @p_linestring is measured, the function returns end point measure value - start point measure value.

    If line-string not measured, returns length of line.

INPUTS

    @p_linestring (geometry) - Supplied Linestring geometry.

RESULT

    measure range  (float) - Measure range for measured line-string; returns NULL if not measured.

NOTES

    If @p_linestring is not measured, the function will return STLength.

EXAMPLE

    select [lrs].[STMeasureRange](geometry::STGeomFromText('LINESTRING(1 1, 2 2)', 0)) as range
    union all
    select [lrs].[STMeasureRange](geometry::STGeomFromText('LINESTRING(1 1 2 3, 2 2 3 4)', 0)) as range
    union all
    select [lrs].[STMeasureRange](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3, 2 2 3 4),(3 3 4 5,4 4 5 6))', 0))
    union all
    select [lrs].[STMeasureRange](geometry::STGeomFromText('CIRCULARSTRING (3 6.325 NULL 0, 0 7 NULL 3.08, -3 6.325 NULL 6.15)',0))
    GO
    
    range
    NULL
    1
    3
    6.15

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original Coding.
    Simon Greener - December 2017 - Port to SQL Server.

COPYRIGHT

    (c) 2012-2018 by TheSpatialDBAdvisor/Simon Greener

25. LRS/STMeasureToPercentage (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STMeasureToPercentage --Converts supplied measure value to a percentage.

SYNOPSIS

    Function STMeasureToPercentage (
      @p_linestring geometry,
      @p_measure  Float
    )
   Returns varchar(5)

DESCRIPTION

    The end measure minus the start measure of a measured line-string defines
    the range of the measures (see ST_Measure_Range). The supplied measure is
    divided by this range and multiplied by 100 to return the measure as a percentage.
    For non measured line-strings all values are computed using lengths.

INPUTS

    @p_linestring (geometry) - Supplied Linestring geometry.
    @p_measure     (float) - Measure somewhere within linestring.

RESULT

    Percentage     (float) - Returns measure within measure range of linestring as percentage (0..100) 

EXAMPLE

    select [lrs].[STMeasureToPercentage](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3, 2 2 3 4),(3 3 4 5,4 4 5 6))',0),4) as percentage
    union all
    select [lrs].[STMeasureToPercentage](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3, 2 2 3 4),(3 3 4 5,4 4 5 6))',0),5)
    union all
    select [lrs].[STMeasureToPercentage](geometry::STGeomFromText('CIRCULARSTRING (3 6.325 NULL 0, 0 7 NULL 3.08, -3 6.325 NULL 6.15)',0),6.15)
    GO
    
    percentage
    33.3333333333333
    66.6666666666667
    100

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original Coding.
    Simon Greener - December 2017 - Port to SQL Server.

COPYRIGHT

    (c) 2012-2018 by TheSpatialDBAdvisor/Simon Greener

26. LRS/STPercentageToMeasure (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STPercentageToMeasure -- Converts supplied Percentage value to a Measure.

SYNOPSIS

    Function STPercentageToMeasure (
      @p_linestring geometry,
      @p_percentage Float
    )
   Returns varchar(5)

DESCRIPTION

    The supplied percentage value (between 0 and 100) is multipled by
    the measure range (see STMeasureRange) to return a measure value between
    the start and end measures. For non measured line-strings all values are
    computed using lengths.

INPUTS

    @p_linestring (geometry) - Supplied Linestring geometry.
    @p_percentage    (float) - Percentage within linestring: from 0 to 100.

RESULT

    Measure value    (float) - Measure at the provided percentage along the linestring.

EXAMPLE

    select 50.0 as percentage,
           [lrs].[STStartMeasure](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3, 2 2 3 4),(3 3 4 5,4 4 5 6))',0)) as start_measure,
           [lrs].[STEndMeasure](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3, 2 2 3 4),(3 3 4 5,4 4 5 6))',0)) as end_measure,
           [lrs].[STPercentageToMeasure](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3, 2 2 3 4),(3 3 4 5,4 4 5 6))',0),50) as measure
    union all
    select 80.0 as percentage,
           [lrs].[STStartMeasure](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3, 2 2 3 4),(3 3 4 5,4 4 5 6))',0)) as start_measure,
           [lrs].[STEndMeasure](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3, 2 2 3 4),(3 3 4 5,4 4 5 6))',0)) as end_measure,
           [lrs].[STPercentageToMeasure](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3, 2 2 3 4),(3 3 4 5,4 4 5 6))',0),80)
    union all
    select 10.0 as percentage,
           [lrs].[STStartMeasure](geometry::STGeomFromText('CIRCULARSTRING (3 6.325 NULL 0, 0 7 NULL 3.08, -3 6.325 NULL 6.15)',0)) as start_measure,
           [lrs].[STEndMeasure](geometry::STGeomFromText('CIRCULARSTRING (3 6.325 NULL 0, 0 7 NULL 3.08, -3 6.325 NULL 6.15)',0)) as end_measure,
           [lrs].[STPercentageToMeasure](geometry::STGeomFromText('CIRCULARSTRING (3 6.325 NULL 0, 0 7 NULL 3.08, -3 6.325 NULL 6.15)',0),10)
    GO
    
    percentage start_measure end_measure measure
          50.0             3           6 4.5
          80.0             3           6 5.4
          10.0             0        6.15 0.615

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original Coding.
    Simon Greener - December 2017 - Port to SQL Server.

COPYRIGHT

    (c) 2012-2018 by TheSpatialDBAdvisor/Simon Greener

27. LRS/STPointToCircularArc (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STPointToCircularArc -- Return a measured point by snapping provided point to the provided circularstring

SYNOPSIS

    Function [$(lrsowner)].[STPointToCircularArc] (
               @p_circularString geometry,
               @p_point          geometry,
               @p_round_xy       int   = 3,
               @p_round_zm       int   = 2
             )
     Returns geometry

DESCRIPTION

    This function snaps supplied point to @p_circularString, returning the snapped point.
    
    Computes Z and M values if exist on @p_circularString.
    
    If input @p_circularString is 2D, length from start of @p_circularString to point is returned in M ordinate of snapped point.
    
    Returned points ordinate values are rounded to @p_round_xy/@p_round_zm decimal digits of precision.

NOTES

    Supports CircularString geometries only.

INPUTS

    @p_circularString (geometry) - (Measured) CircularString with or without Z ordinates.
    @p_point          (geometry) - Point near to linestring.
    @p_round_xy            (int) - Decimal digits of precision for XY ordinates.
    @p_round_zm            (int) - Decimal digits of precision for M ordinate.

RESULT

    snapped point (geometry) -- First point found on @p_circularString.

EXAMPLE

    select 'Point has relationship with XYZM circular arc' as test,
           [lrs].[STPointToCircularArc] (
              geometry::STGeomFromText('CIRCULARSTRING (3 6.325 -2.1 0, 0 7 -2.1 3.08, -3 6.325 -2.1 6.15)',0),
              geometry::Point(2,8,0),
              3,2).AsTextZM() as project_point
    union all
    select 'Point does not have relationship with XYM CircularSring' as test,
           [lrs].[STPointToCircularArc] (
              geometry::STGeomFromText('CIRCULARSTRING (3 6.325 NULL 0, 0 7 NULL 3.08, -3 6.325 NULL 6.15)',0),
              geometry::Point(8,8,0),
              3,2).AsTextZM() as project_point
    union all
    select 'Point is on centre of the circular arc' as test,
           [lrs].[STPointToCircularArc] (
              geometry::STGeomFromText('CIRCULARSTRING (3 6.3246 -1, 0 7 -1, -3 6.3246 -1)',0),
              geometry::Point(0,0,0),
              3,2).AsTextZM() as project_point
    union all
    select 'Point projects on to point half way along circular arc' as test,
           [lrs].[STPointToCircularArc] (
              geometry::STGeomFromText('CIRCULARSTRING (3 6.3246, 0 7, -3 6.3246)',0),
              geometry::Point(0,3.5,0),
              3,2).AsTextZM() as project_point
    go
    
    test                                                    project_point
    ------------------------------------------------------- -----------------------------
    Point has relationship with XYZM circular arc           POINT (1.698 6.791 -2.1 1.37)
    Point does not have relationship with XYM CircularSring NULL
    Point is on centre of the circular arc                  POINT (3 6.3246 -1)
    Point projects on to point half way along circular arc  POINT (0 7 NULL 3.1)

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - August 2019 - Original coding.

COPYRIGHT

    (c) 2008-2019 by TheSpatialDBAdvisor/Simon Greener

28. LRS/STProjectPoint (2012) [ Methods ]

[ Top ] [ Methods ]

NAME

    STProjectPoint --  Return a measured point by snapping provided point to the provided line.

SYNOPSIS

    Function [lrs].[STProjectPoint] (
               @p_linestring geometry,
               @p_point      geometry,
               @p_round_xy   int   = 3,
               @p_round_zm   int   = 2
             )
     Returns geometry

DESCRIPTION

    This function snaps supplied point to @p_linestring, returning the snapped point.
    
    If there is more than one possible solution the first point is returned.
    
    Computes Z and M values if exist on @p_linestring.
    
    If input @p_linestring is 2D, length from start of @p_linestring to point is returned in M ordinate of snapped point.
    
    Returned points ordinate values are rounded to @p_round_xy/@p_round_zm decimal digits of precision.

NOTES

    Supports linestrings with CircularString elements.

INPUTS

    @p_linestring (geometry) - Measured linestring with or without Z ordinates.
    @p_point      (geometry) - Point near to linestring.
    @p_round_xy        (int) - Decimal digits of precision for XY ordinates.
    @p_round_zm        (int) - Decimal digits of precision for M ordinate.

RESULT

    snapped point (geometry) -- First point found on @p_linestring.

EXAMPLE

    select CAST('Actual Measure' as varchar(20)) as test,
           [lrs].[STProjectPoint] (
              geometry::STGeomFromText('LINESTRING(-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)',28355),
              geometry::Point(8,8,28355),
              3,2).AsTextZM() as project_point
    union all
    select '2D return length in measure' as test,
           [lrs].[STProjectPoint] (
              geometry::STGeomFromText('LINESTRING(-4 -4, 0 0, 10 0, 10 10)',28355),
              geometry::Point(8,8,28355),
              3,2).AsTextZM() as project_point
    GO
    
    test                        project_point
    Actual Measure              POINT (10 8 NULL 23.44)
    2D return length in measure POINT (10 8 NULL 23.66)

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original coding.
    Simon Greener - December 2017 - Port to SQL Server (TSQL).
    Simon Greener - December 2022 - Changed method for finding nearest segment.

COPYRIGHT

    (c) 2008-2017 by TheSpatialDBAdvisor/Simon Greener

29. LRS/STRemoveMeasure (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STRemoveMeasure -- Function that removes measure values from all points in linestring.

SYNOPSIS

    Function STRemoveMeasure (
       @p_linestring geometry,
       @p_round_xy   int = 3,
       @p_round_zm   int = 2
     )
     Returns geometry 

USAGE

    SELECT [$(lrsowner).[STRemoveMeasure] (
             geometry::STGeomFromText('MULTILINESTRING((1 1 NULL 1,2 2 NULL 2),(3 3 NULL 3,4 4 NULL 4))',0),
             3,
             2).AsTextZM() as RemoveMeasureLine
    GO
    RemoveMeasureLine
    MULTILINESTRING ((1 1 NULL -999999999, 2 2 NULL -999999999), (3 3 NULL -999999999, 4 4 NULL -999999999))

DESCRIPTION

    Removes all measure ordinate values.
    Linestring with XYM ordinates is returned with XY ordinates.
    Linestring with XYZM ordinates is returned with XYZ ordinates.
    Supports CircularString and CompoundCurve geometry objects and subelements from 2012 onewards.

INPUTS

    @p_linestring        (geometry) - Supplied Linestring geometry.
    @p_round_xy               (int) - Decimal degrees of precision for when formatting XY ordinates in WKT.
    @p_round_zm               (int) - Decimal degrees of precision for when formatting Z ordinate in WKT.

RESULT

    linestring with no M (geometry) - Input geometry with all M ordinates set to NULL.

EXAMPLE

    select [lrs].[STRemoveMeasure] (
                 geometry::STGeomFromText('LINESTRING(1 1 NULL 1,2 2 NULL 2)',0),
                 3,
                 2
           ).AsTextZM() as RemoveMeasureLine
    union all
    select [lrs].[STRemoveMeasure] (
                 geometry::STGeomFromText('LINESTRING(1 1 1 1,2 2 2 2)',0),
                 3,
                 2
           ).AsTextZM() as RemoveMeasureLine
    union all
    select [lrs].[STRemoveMeasure] (
                 geometry::STGeomFromText('MULTILINESTRING((1 1 NULL 1,2 2 NULL 2),(3 3 NULL 3,4 4 NULL 4))',0),
                 3,
                 2
           ).AsTextZM() as RemoveMeasureLine
    union all
    select [lrs].[STRemoveMeasure] (
                 geometry::STGeomFromText('MULTILINESTRING((1 1 1 1,2 2 2 2),(3 3 3 3,4 4 4 4))',0),
                 3,
                 2
           ).AsTextZM() as RemoveMeasureLine
    GO
    
    RemoveMeasureLine
    LINESTRING (1 1, 2 2)
    LINESTRING (1 1 1, 2 2 2)
    MULTILINESTRING ((1 1, 2 2), (3 3, 4 4))
    MULTILINESTRING ((1 1 1, 2 2 2), (3 3 3, 4 4 4))

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January 2018 - Original Coding.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

30. LRS/STResetMeasure (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STResetMeasure -- Function that sets all existing assigned measures to NULL.

SYNOPSIS

    Function STResetMeasure (
       @p_geometry       geometry,
       @p_marker_measure float = -999999999,
       @p_round_xy       int = 3,
       @p_round_zm       int = 2
     )
     Returns geometry 

USAGE

    SELECT [$(lrsowner).[STResetMeasure] (
             geometry::STGeomFromText('MULTILINESTRING((1 1 NULL 1,2 2 NULL 2),(3 3 NULL 3,4 4 NULL 4))',0),
             default,
             3,
             2).AsTextZM() as ResetMeasureLine
    GO
    ResetMeasureLine
    MULTILINESTRING ((1 1 NULL -999999999, 2 2 NULL -999999999), (3 3 NULL -999999999, 4 4 NULL -999999999))

DESCRIPTION

    Sets all measures of a measured linesting to null values leaving dimensionality of geometry alone. 
    So, a linestring with XYM remains so, but all measures are set to @c_MarkerMeasure value of -999999999 unless user supplies otherwise.
    eg Coord 2 of 10.23,5.75,2.65 => 10.23,5.75,-999999999
    Supports CircularString and CompoundCurve geometry objects and subelements from 2012 onewards.

NOTES

    This is not the same as STTo2D which removes measures etc and returns a pure 2D geometry.

INPUTS

    @p_geometry    (geometry) - Supplied Linestring geometry.
    @p_marker_measure (float) - Marker Measure applied to all measure values: Default is -999999999,
    @p_round_xy         (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm         (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    M Null Geom (geometry) - Input geometry with all M ordinates set to NULL.

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original Coding.
    Simon Greener - December 2017 - Converted to TSQL for SQL Spatial.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

31. LRS/STReverseMeasure (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STReverseMeasure -- Function that reverses measures assigned to the points of a linestring.

SYNOPSIS

    Function STReverseMeasure (
       @p_linestring geometry,
       @p_round_xy int = 3,
       @p_round_zm int = 2
     )
     Returns geometry 

USAGE

    WITH data AS (
      select geometry::STGeomFromText('COMPOUNDCURVE (CIRCULARSTRING (3 6.3 1.1 0, 0 7 1.1 3.1, -3 6.3 1.1 9.3), (-3 6.3 1.1 9.3, 0 0 1.4 16.3, 3 6.3 1.6 20.2))',0) as Geom
    )
    SELECT 'Before' as text, d.geom.AsTextZM() as rGeom from data as d
    UNION ALL
    SELECT 'After' as text, [$(lrsowner)].[STReverseMeasure](d.geom,3,2).AsTextZM() as rGeom from data as d;
    GO
    text   rGeom
    ------ -------------------------------------------------------------------------------------------------------------------------------
    Before COMPOUNDCURVE (CIRCULARSTRING (3 6.3 1.1 0, 0 7 1.1 3.1, -3 6.3 1.1 9.3), (-3 6.3 1.1 9.3, 0 0 1.4 16.3, 3 6.3 1.6 20.2))
    After  COMPOUNDCURVE (CIRCULARSTRING (3 6.3 1.1 20.2, 0 7 1.1 17.1, -3 6.3 1.1 24.9), (-3 6.3 1.1 24.9, 0 0 1.4 17.9, 3 6.3 1.6 0))

DESCRIPTION

    Reverses measures assigned to a linestring.
    Supports CircularString and CompoundCurve geometry objects and subelements from 2012 onewards.

INPUTS

    @p_linestring (geometry) - Supplied Linestring geometry.
    @p_round_xy      (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm      (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    Reverse M Geom (geometry) - Input geometry with all points' M ordinates reversed.

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original Coding.
    Simon Greener - December 2017 - Converted to TSQL for SQL Spatial.
    Simon Greener - December 2019 - Fixed bug with handling CircularString.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

32. LRS/STScaleMeasure (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STScaleMeasure -- Rescales geometry measures and optionally offsets them, stretching the geometry.

SYNOPSIS

    Function [$(lrsowner)].[STScaleMeasure] (
       @p_linestring      geometry,
       @p_start_measure Float,
       @p_end_measure   Float,
       @p_shift_measure Float = 0.0,
       @p_round_xy      int = 3,
       @p_round_zm      int = 2
     )
     Returns geometry 

USAGE

    WITH data AS (
      SELECT [$(lrsowner)].[STAddMeasure] (
               geometry::STGeomFromText('COMPOUNDCURVE(CIRCULARSTRING (3 6.3246 1.1, 0 7 1.1, -3 6.3246 1.1),(-3 6.3246 1.1, 0 0 1.4, 3 6.3246 1.55))',0),
               0,null,1,1) as aGeom
    )
    SELECT 'Original' as LineType, 
           f.aGeom.AsTextZM() as mLine
      FROM data as f
    UNION ALL
    SELECT 'Scaled' as LineType,
           [$(lrsowner)].[STScaleMeasure] ( f.ageom, 100.0, 125.1, 5.0, 3, 2).AsTextZM() as sGeom 
      FROM data as f;
    GO
    LineType mLine
    -------- --------------------------------------------------------------------------------------------------------------------------------------------
    Original COMPOUNDCURVE (CIRCULARSTRING (3 6.3 1.1 0, 0 7 1.1 3.1, -3 6.3 1.1 6.2), (-3 6.3 1.1 6.2, 0 0 1.4 13.2, 3 6.3 1.6 20.2))
    Scaled   COMPOUNDCURVE (CIRCULARSTRING (3 6.3 1.1 105, 0 7 1.1 108.852, -3 6.3 1.1 112.704), (-3 6.3 1.1 112.704, 0 0 1.4 121.402, 3 6.3 1.6 125.1))

DESCRIPTION

    This function can redistribute measure values between the supplied
    @p_start_measure (start vertex) and @p_end_measure (end vertex) by adjusting/scaling
    the measure values of all in between coordinates. In addition, if @p_shift_measure
    is not 0 (zero), the supplied value is added to each modified measure value
    performing a translation/shift of those values.

INPUTS

    @p_linestring   (geometry) - Supplied Linestring geometry.
    @p_start_measure (float) - Measure defining start point for geometry.
    @p_end_measure   (float) - Measure defining end point for geometry.
    @p_shift_measure (float) - Shift (scale) value applied to all measure. 
    @p_round_xy        (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm        (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    Scaled M Line (geometry) - Input geometry with all points' M ordinates scaled.

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original Coding.
    Simon Greener - December 2017 - Converted to TSQL for SQL Spatial.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

33. LRS/STSetM (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STSetM -- Function that adds or updates (replaces) M value of supplied geometry point.

SYNOPSIS

    Function STSetM (
               @p_point    geometry,
               @p_measure  float,
               @p_round_xy int = 3,
               @p_round_zm int = 2
             )
     Returns geometry 

USAGE

    SELECT STSetM(
             STPointFromText('POINT(0 0)',0),
             1,
             3, 2 
           ).AsTextZM() as updatedPoint;
    # updatedPoint
    'POINT(0 0 NULL 1)'

DESCRIPTION

    Function that adds/updates M ordinate of the supplied @p_point.
    The updated coordinate's XY ordinates are rounded to @p_round_xy number of decimal digits of precision.
    The updated coordinate's ZM ordinates are rounded to @p_round_ZM number of decimal digits of precision.

NOTES

    Wrapper over STSetMeasure.

INPUTS

    @p_point     (geometry) - Supplied point geometry.
    @p_measure   (float)    - New M value.
    @p_round_xy  (int)      - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm  (int)      - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    point with M (geometry) - Input point with new measure value.

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2017 - Original TSQL Coding for SQL Spatial.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

34. LRS/STSetMeasure (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STSetMeasure -- Function that adds or updates (replaces) M value of supplied geometry point.

SYNOPSIS

    Function STSetMeasure (
               @p_point    geometry,
               @p_measure  float,
               @p_round_xy int = 3,
               @p_round_zm int = 2
             )
     Returns geometry 

USAGE

    SELECT STSetMeasure(
             STPointFromText('POINT(0 0)',0),
             1,
             3, 2 
           ).AsTextZM() as updatedPoint;
    # updatedPoint
    'POINT(0 0 NULL 1)'

DESCRIPTION

    Function that adds/updates M ordinate of the supplied @p_point.
    The updated coordinate's XY ordinates are rounded to @p_round_xy number of decimal digits of precision.
    The updated coordinate's ZM ordinates are rounded to @p_round_ZM number of decimal digits of precision.

INPUTS

    @p_point     (geometry) - Supplied point geometry.
    @p_measure   (float)    - New M value.
    @p_round_xy  (int)      - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm  (int)      - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    point with M (geometry) - Input point with new measure value.

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2017 - Original TSQL Coding for SQL Spatial.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

35. LRS/STSplit (2012) [ Methods ]

[ Top ] [ Methods ]

NAME

    STSplit -- Function that splits a line into two parts.

SYNOPSIS

    Function [$(lrsowner)].[STSplit] (
       @p_linestring geometry,
       @p_point      geometry,
       @p_round_xy   int = 3,
       @p_round_zm   int = 2
     )
     Returns @lines TABLE
     (
       line1 geometry,
       line2 geometry
     )

DESCRIPTION

    Splits @p_linestring at position defined by @p_point.
    If @p_point is not on the line it is first snapped to the line.
    Supports CircularString and CompoundCurve geometry objects and subelements from 2012 onewards.

INPUTS

    @p_linestring (geometry) - Supplied Linestring geometry.
    @p_point      (geometry) - Supplied split point.
    @p_round_xy        (int) - Decimal degrees of precision for when formatting XY ordinates in WKT.
    @p_round_zm        (int) - Decimal degrees of precision for when formatting Z ordinate in WKT.

RESULT

    Single record containing one or two linestrings OR is a result cannot be calculated two LINESTRING EMPTY geometries.

EXAMPLE

    with data as (
      select geometry::STGeomFromText('LINESTRING(0 0,10 10,20 20,30 30,40 40,50 50,60 60,70 70,80 80,90 90,100 100)',0) as line,
             geometry::STGeomFromText('POINT(50 50)',0) as point
    )
    select s.line1.AsTextZM() as line1, s.line2.AsTextZM() as line2
      from data as a
           cross apply 
           [$(lrsowner)].[STSplit](
                 a.line,
                 a.point,
                 3,
                 2
           ) as s;
    line1                                               line2
    LINESTRING (0 0, 10 10, 20 20, 30 30, 40 40, 50 50) LINESTRING (50 50, 60 60, 70 70, 80 80, 90 90, 100 100)

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2018 - Original Coding.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

36. LRS/STSplitProcedure (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STSplitProcedure -- Procedure that splits a line into two parts.

SYNOPSIS

    Function STSplitProcedure (
       @p_linestring   geometry,
       @p_point        geometry,
       @p_line1        geometry OUTPUT,
       @p_line2        geometry OUTPUT,
       @p_round_xy     int = 3,
       @p_round_zm     int = 2
     )
     Returns geometry 

DESCRIPTION

    Splits @p_linestring at position defined by @p_point.
    If @p_point is not on the line it is first snapped to the line.
    Supports CircularString and CompoundCurve geometry objects and subelements from 2012 onewards.

INPUTS

    @p_linestring (geometry) - Supplied Linestring geometry.
    @p_point      (geometry) - Supplied split point.
    @p_line1      (geometry) - Is an OUTPUT parameter that holds the first part of split line.
    @p_line2      (geometry) - Is an OUTPUT parameter that holds the second part of split line.
    @p_round_xy        (int) - Decimal degrees of precision for when formatting XY ordinates in WKT.
    @p_round_zm        (int) - Decimal degrees of precision for when formatting Z ordinate in WKT.

RESULT

    Two linestrings (geometry) - Two parts of split linestring.

EXAMPLE

    declare @v_linestring geometry = geometry::STGeomFromText('LINESTRING(0 0,10 10,20 20,30 30,40 40,50 50,60 60,70 70,80 80,90 90,100 100)',0),
            @v_point      geometry = geometry::STGeomFromText('POINT(50 50)',0),
            @v_line1      geometry,
            @v_line2      geometry;
    exec lrs.STSplitProcedure @p_linestring=@v_linestring,
                              @p_point=@v_point,
                              @p_line1=@v_line1 OUTPUT,
                              @p_line2=@v_line2 OUTPUT,
                              @p_round_xy=3,
                              @p_round_zm=2;
    select @v_line1.STAsText() as line1, @v_line2.STAsText() as line2
    GO
    line1                                               line2
    LINESTRING (0 0, 10 10, 20 20, 30 30, 40 40, 50 50)    LINESTRING (50 50, 60 60, 70 70, 80 80, 90 90, 100 100)

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2018 - Original Coding.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

37. LRS/STSplitSegmentByLength (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STSplitSegmentByLength -- Extracts, and possibly offets, that part of the supplied (single) LineString identified by the @p_start_length and @p_end_length parameters.

SYNOPSIS

    Function [$(lrsowner)].[STSplitStringByLength] (
               @p_linestring   geometry,
               @p_start_length Float,
               @p_end_length   Float = null,
               @p_offset       Float = 0.0,
               @p_radius_check Bit   = 1,
               @p_round_xy     int   = 3,
               @p_round_zm     int   = 2
             )
     Returns geometry 

DESCRIPTION

    Given start and end lengths, this function extracts a new LineString segment from the input @p_linestring.
    If a non-zero value is supplied for @p_offset, the extracted LineString is then offset to the left (if @p_offset < 0) or to the right (if @p_offset > 0).
    If the circularString offset causes the CircularString to disappear, NULL is returned.
    If a genenerated point is on the side of the centre of a CircularString ie offset > radius: 
        0 returns the offset point regardless.
        1 causes NULL to be returned; 
        2 returns centre point; 

NOTES

    Supports a single (2-point) LineString element only.

INPUTS

    @p_linestring  (geometry) - A single, 2 point, LineString.
    @p_start_length   (float) - Measure defining start point of located geometry.
    @p_end_length     (float) - Measure defining end point of located geometry.
    @p_offset         (float) - Offset (distance) value left (negative) or right (positive) in SRID units.
    @p_radius_check     (int) - 0 returns the offset point regardless; 1 causes NULL to be returned; 2 returns centre point; 
    @p_round_xy         (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm         (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    LineString     (geometry) - New Linestring between start/end lengths with optional offset.

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2017 - Original Coding.
    Simon Greener - December 2019 - Coalesced circularString and Linestring code under one function; Added @p_radius_check.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

38. LRS/STSplitSegmentByMeasure (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STSplitSegmentByMeasure -- Extracts, and possibly offets, that part of the supplied (single) CircularString identified by the @p_start_measure and @p_end_measure parameters.

SYNOPSIS

    Function [$(lrsowner)].[STSplitSegmentByMeasure] (
               @p_linestring    geometry,
               @p_start_measure Float,
               @p_end_measure   Float = null,
               @p_offset        Float = 0.0,
               @p_radius_check  int   = 1,
               @p_round_xy      int   = 3,
               @p_round_zm      int   = 2
             )
     Returns geometry 

DESCRIPTION

    Given start and end measures, this function extracts a new CircularString segment from the @p_linestring.
    If a non-zero value is suppied for @p_offset, the extracted circularSting is then offset to the left (if @p_offset < 0) or to the right (if @p_offset > 0).
    If a genenerated point is on the side of the centre of a CircularString ie offset > radius: 
        0 returns the offset point regardless.
        1 causes NULL to be returned; 
        2 returns centre point; 

NOTES

    Supports a single (3-point) CircularString element only.
    Currently only supports Increasing measures.

INPUTS

    @p_linestring (geometry) - A single, 3 point, CircularString.
    @p_start_measure   (float) - Measure defining start point of located geometry.
    @p_end_measure     (float) - Measure defining end point of located geometry.
    @p_offset          (float) - Offset (distance) value left (negative) or right (positive) in SRID units.
    @p_radius_check      (int) - 0 returns the offset point regardless; 1 causes NULL to be returned; 2 returns centre point; 
    @p_round_xy          (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm          (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    CircularString  (geometry) - New CircularString between start/end measure with optional offset.

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - December 2017 - Original Coding.
    Simon Greener - December 2019 - Merged LineString/CircularString code. Added @p_radius_check.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

39. LRS/STStartMeasure (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STStartMeasure -- Returns M value of first point in measured geometry.

SYNOPSIS

    Function STStartMeasure (
       @p_linestring geometry
    )
    Returns geometry 

DESCRIPTION

    Returns start measure associated with first point in a measured line-string.
    Supports Linestrings with CircularString elements (2012).

INPUTS

    @p_linestring (geometry) - Supplied Linestring geometry.

RESULT

    measure (float) -- Measure value of first point in a measured line-string.

NOTES

    If the line-string is not measured it returns 0.

EXAMPLE

    select [$(lrsowner)].[STStartMeasure](geometry::STGeomFromText('LINESTRING(1 1 2 3, 2 2 3 4)', 0)) as start_measure
    union all
    select [$(lrsowner)].[STStartMeasure](geometry::STGeomFromText('MULTILINESTRING((1 1 2 3, 2 2 3 4),(3 3 4 5,4 4 5 6))', 0))
    union all
    select [$(lrsowner)].[STStartMeasure](geometry::STGeomFromText('CIRCULARSTRING (3 6.325 NULL 0, 0 7 NULL 3.08, -3 6.325 NULL 6.15)',0))
    GO

   start_measure
   3
   3
   0 

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original Coding.
    Simon Greener - December 2017 - Port to SQL Server.

COPYRIGHT

    (c) 2012-2018 by TheSpatialDBAdvisor/Simon Greener

40. LRS/STUpdateMeasure (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STUpdateMeasure -- Rescales (multi)linestring vertex measures from start to end using provided values.

SYNOPSIS

    Function [$(lrsowner)].[STUpdateMeasure] (
       @p_linestring    geometry,
       @p_start_measure Float,
       @p_end_measure   Float,
       @p_round_xy      int = 3,
       @p_round_zm      int = 2
     )
     Returns geometry 

USAGE

    WITH data AS (
      SELECT [$(lrsowner)].[STAddMeasure] (
               geometry::STGeomFromText('COMPOUNDCURVE(CIRCULARSTRING (3 6.3246 1.1, 0 7 1.1, -3 6.3246 1.1),(-3 6.3246 1.1, 0 0 1.4, 3 6.3246 1.55))',0),
               0,null,1,1) as aGeom
    )
    SELECT 'Original' as LineType, 
           f.aGeom.AsTextZM() as mLine
      FROM data as f
    UNION ALL
    SELECT 'Updated (1)' as LineType,
           [$(lrsowner)].[STUpdateMeasure] ( f.ageom, 1.0, 21.2, 3, 2).AsTextZM() as sGeom 
      FROM data as f
    UNION ALL
    SELECT 'Updated (2)' as LineType,
           [$(lrsowner)].[STUpdateMeasure] ( f.ageom, 100.0, 125.1, 3, 2).AsTextZM() as sGeom 
      FROM data as f;
    GO

   LineType mLine
   -------- ---------------------------------------------------------------------------------------------------------------------------------------
   Original    COMPOUNDCURVE (CIRCULARSTRING (3 6.3 1.1 0, 0 7 1.1 3.1, -3 6.3 1.1 6.2), (-3 6.3 1.1 6.2, 0 0 1.4 13.2, 3 6.3 1.6 20.2))
   Updated (1)    COMPOUNDCURVE (CIRCULARSTRING (3 6.3 1.1 1, 0 7 1.1 4.1, -3 6.3 1.1 7.2), (-3 6.3 1.1 7.2, 0 0 1.4 14.2, 3 6.3 1.6 21.2))
   Updated (2)    COMPOUNDCURVE (CIRCULARSTRING (3 6.3 1.1 100, 0 7 1.1 103.85, -3 6.3 1.1 107.7), (-3 6.3 1.1 107.7, 0 0 1.4 116.4, 3 6.3 1.6 125.1))

DESCRIPTION

    This function resets all measures in a measured linestring by applying @p_start_measure to the start vertex and @p_end_measure to the end vertex.
    All vertices in between have the measures scaled between the start and end measures by ratio based on length.
    All M ordinates are rounded to supplied @p_round_zm.
  NOTE
    Is a wrapper over [$(lrsowner)].[STScaleMeasure].

INPUTS

    @p_linestring (geometry) - Supplied Linestring geometry.
    @p_start_measure (float) - Measure defining start point for geometry.
    @p_end_measure   (float) - Measure defining end point for geometry.
    @p_round_xy        (int) - Decimal degrees of precision to which calculated XY ordinates are rounded.
    @p_round_zm        (int) - Decimal degrees of precision to which calculated ZM ordinates are rounded.

RESULT

    Scaled M Line (geometry) - Input linestring with all points' M ordinates updated.

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2013 - Original Coding.
    Simon Greener - December 2017 - Converted to TSQL for SQL Spatial.

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

41. LRS/STValidLrsGeometry (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STValidLrsGeometry -- Checks if supplied @p_linestring is a valid measured linestring. 

SYNOPSIS

    Function STValidLrsGeometry (
       @p_linestring geometry
    )
    Returns bit

DESCRIPTION

    This function checks for geometry type and number of dimensions of the geometric segment.
    Function returns 1 (true) if provided geometry is a linestring with valid measured, and 0 (false) otherwise.
    Linestring must have either increasing or decreasing measures.
    The function supports all Linestring geometry types.

INPUTS

    @p_linestring (geometry) - Measured Linestring.

RESULT

    1/0                (bit) - 1 (true) if measured linestring, 0 (false) otherwise.

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2017 - Original coding.
    Simon Greener - December 2017 - Port to SQL Server

COPYRIGHT

    (c) 2008-2017 by TheSpatialDBAdvisor/Simon Greener

42. LRS/STValidLrsPoint (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STValidLrsPoint -- Checks if supplied @p_point is a valid LRS point.

SYNOPSIS

    Function STValidLrsPoint (
       @p_point geometry
    )
    Returns bit

DESCRIPTION

    Function returns 1 (true) if point is measured, and 0 (false) if point is not measured.
    A valid LRS point has measure information. 
    The function checks for the Point geometry type and has a measured ordinate.

INPUTS

    @p_point (geometry) - Measured Point.

RESULT

    1/0           (bit) - 1 (true) if measured point, 0 (false) otherwise.

EXAMPLE

    select [lrs].[STValidLrsPoint](geometry::STGeomFromText('POINT(0 0)',0)) as is_measured_point
    GO
    
    is_measured_point
    0
    
    select [lrs].[STValidLrsPoint](geometry::STGeomFromText('POINT(0 0 NULL 1)',0)) as is_measured_point
    GO
    
    is_measured_point
    1

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2017 - Original coding.
    Simon Greener - December 2017 - Port to SQL Server

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener

43. LRS/STValidMeasure (2012) [ Functions ]

[ Top ] [ Functions ]

NAME

    STValidMeasure -- Checks if supplied measure falls within the linestring's measure range.

SYNOPSIS

    Function STValidMeasure (
       @p_linestring geometry,
       @p_measure    float
    )
    Returns bit

DESCRIPTION

    Function returns 1 (true) if measure falls within the underlying linestring's measure range 
    or the 0 (false) string if the supplied measure does not fall within the measure range.
    Support All Linestring geometry types (including CircularString and CompoundCurve

INPUTS

    @p_linestring (geometry) - Measured linestring.
    @p_measure       (float) - Actual Measure value.

RESULT

    1/0                (bit) - 1 (true) if measure within range, 0 (false) otherwise.

EXAMPLE

    select t.IntValue,
           case when [lrs].[STValidMeasure](geometry::STGeomFromText('LINESTRING(-4 -4 0 1, 0 0 0 5.6, 10 0 0 15.61, 10 10 0 25.4)',28355),
                                                    cast(t.intValue as float) )
                     = 1 
                then 'Yes' 
                else 'No' 
            end 
             as isMeasureWithinLinestring
      from [dbo].[Generate_Series] (-1,30,4) as t;
    GO
    
    IntValue isMeasureWithinLinestring
    -1       No
     3       Yes
     7       Yes
    11       Yes
    15       Yes
    19       Yes
    23       Yes
    27       No

AUTHOR

    Simon Greener

HISTORY

    Simon Greener - January  2017 - Original coding.
    Simon Greener - December 2017 - Port to SQL Server

COPYRIGHT

    (c) 2008-2018 by TheSpatialDBAdvisor/Simon Greener