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geometry functions

In this topic

  1. geometry.angle function
  2. geometry.area function
  3. geometry.boundaryLength
  4. geometry.{du|dv} functions
  5. geometry.height function
  6. geometry.isClosedSurface function
  7. geometry.isConcave function
  8. geometry.isInstanced function
  9. geometry.isOriented function
  10. geometry.isPlanar function
  11. geometry.isRectangular function
  12. geometry.nEdges function
  13. geometry.nFaces function
  14. geometry.nHoles function
  15. geometry.nVertices function
  16. geometry.{uMin|uMax|vMin|vMax} functions
  17. geometry.volume function

geometry.angle function

Syntax

  • float geometry.angle(angleType)

Parameters

  1. angleType—selector
    Selector for the angle calculation.
    • maxSlope—Calculates the maximum slope of the shape, relative to the xz-plane, in degrees.
    • azimuth—Calculates the azimuth of the direction of the current shape's maximum slope, in degrees;
    • zenith—Calculates the difference between 90 degrees (zenith) and the maximum slope.

Returns

Angle of the current shape's geometry, depending on the selector, in degrees.

Description

The geometry.angle function calculates the angle of current shape's geometry. azimuth is the horizontal angle measured clockwise from the north, i.e. 90 degrees is east, 180 degrees is south and 270 degrees is west. The Azimuth is in the range [0, 360]. The geometry.angle(zenith) function returns the same value as 90 - geometry.angle(maxSlope)

Examples

Cone-->
    comp(f) { all : color(geometry.angle(maxSlope)/ 90,
              0.0, 0.0) Shape. }
geometry.angle (maxSlope)
Cone-->
    comp(f) { all : color(0.5, geometry.angle(azimuth)/ 360,
              0.5) Shape. }

geometry.angle (azimuth)

geometry.area function

Syntax

  • float geometry.area()
  • float geometry.area(faceOrientation)

Parameters

  1. faceOrientation—selector
    Selector for the faces to include in the area calculation.
    • {surface| all } (default)
    • { front | back | left | right | top | bottom | side }
    • { object.front | object.back | object.left | object.right | object.top | object.bottom | object.side }
    • { world.south | world.north | world.west | world.east | world.up | world.down | world.side }
    • { street.front | street.back | street.left | street.right | street.side }

Returns

Surface area of the current shape's geometry, depending on the provided faceOrientation selector.

Description

The geometry.area function calculates the surface area that is the sum of all its faces.

geometry.boundaryLength

Syntax

  • float geometry.boundaryLength()

Returns

The sum of all boundary edge lengths. An edge is considered a boundary edge if it belongs to no more than one face.

Related

  • geometry.isClosedSurface function

geometry.{du|dv} functions

Syntax

  • float geometry.du(uvSet, surfaceParameterization)
  • float geometry.dv(uvSet, surfaceParameterization)

Parameters

  1. uvSet—float
    Number of texture coordinates set (integer number [0,9]). The numbering corresponds to the texture layers of the material attribute, see also Texturing: essential knowledge.
  2. surfaceParameterization—selector

    The surface parameter space.

    • uvSpace—Selects the actual texture coordinates (typically in the range [0,1]).
    • unitSpace —Calculates the geometry-dependent surface stretch along the u- or v- axis and calculates an approximation in world coordinate units (e.g. meters).

Returns

The range (i.e. max - min) spanned by the u- or the v-coordinate, respectively, of the selected uvset.

Related

  • split operation

geometry.height function

Syntax

  • float geometry.height()

Returns

The height of the geometry in world coordinates.

Related

  • scope attribute

geometry.isClosedSurface function

Syntax

  • bool geometry.isClosedSurface()

Returns

true if the geometry contains at least one face and all edges belong to exactly 2 faces, false otherwise.

Related

  • geometry.isConcave function
  • geometry.isPlanar function
  • geometry.isRectangular function

geometry.isConcave function

Syntax

  • bool geometry.isConcave()

Returns

true if the geometry contains at least one concave face, false otherwise.

Related

  • geometry.isClosedSurface function
  • geometry.isPlanar function
  • geometry.isRectangular function

geometry.isInstanced function

Syntax

  • bool geometry.isInstanced()

Returns

True if the current shape's geometry is the instance of an asset, i.e. the geometry has not been altered since the insert operation, false otherwise.

Description

The geometry.isInstanced function can be used to e.g. check if an inserted asset was trimmed.

Related

  • insert operation
  • trim operation
  • trim attribute

geometry.isOriented function

Syntax

  • bool geometry.isOriented(orientation)

Parameters

  1. orientation—selector
    Selector for the faces to check for.
    • { front | back | left | right | top | bottom | side }
    • { object.front | object.back | object.left | object.right | object.top | object.bottom | object.side }
    • { world.south | world.north | world.west | world.east | world.up | world.down | world.side }
    • { street.front | street.back | street.left | street.right | street.side }

Returns

True if at least one of the geometry's faces matches the orientation selector, false otherwise.

Description

The geometry.isOriented function can be used to determine a shape's orientation.

Related

  • comp operation

geometry.isPlanar function

Syntax

  • bool geometry.isPlanar(tolerance)

Parameters

  1. tolerance—float
    The tolerance in degrees for deciding if an face is planar or not. The face normal is compared to the edges' cross product (''local normal'') at every vertex; if the angle between a ''local normal'' and the face normal is larger than the tolerance the face is non-planar. A reasonable value is 0.25 degrees.

Returns

true if the geometry contains at least one face and all faces of are planar (within tolerance), false otherwise).

Related

  • geometry.isClosedSurface function
  • geometry.isConcave function
  • geometry.isRectangular function

geometry.isRectangular function

Syntax

  • bool geometry.isRectangular(tolerance)

Parameters

  1. tolerance—float
    The tolerance in degrees for deciding if an angle is a right one or not.

Returns

true if the geometry contains at least one face and all faces consist of 4 vertices and contain only right angles, false otherwise. Angles in the range [90-tolerance, 90+tolerance] are considered to be "right".

Related

  • geometry.isClosedSurface function
  • geometry.isConcave function
  • geometry.isPlanar function

geometry.nEdges function

Syntax

  • float geometry.nEdges()

Returns

The (integral) number of edges of the current shape's geometry.

Related

  • geometry.nFaces function
  • geometry.nHoles function
  • geometry.nVertices function

geometry.nFaces function

Syntax

  • float geometry.nFaces()

Returns

The (integral) number of faces of the current shape's geometry.

Related

  • geometry.nEdges function
  • geometry.nHoles function
  • geometry.nVertices function

geometry.nHoles function

Syntax

  • float geometry.nHoles()

Returns

The (integral) number of holes (i.e. holes in faces) of the current shape's geometry.

Related

  • geometry.nEdges function
  • geometry.nFaces function
  • geometry.nVertices function

geometry.nVertices function

Syntax

  • float geometry.nVertices()

Returns

The (integral) number of vertices of the current shape's geometry.

Related

  • geometry.nEdges function
  • geometry.nFaces function
  • geometry.nHoles function

geometry.{uMin|uMax|vMin|vMax} functions

Syntax

  • float geometry.uMin()
  • float geometry.uMax()
  • float geometry.vMin()
  • float geometry.vMax()
  • float geometry.uMin(uvSet)
  • float geometry.uMax(uvSet)
  • float geometry.vMin(uvSet)
  • float geometry.vMax(uvSet)

Parameters

  1. uvSet—float
    Number of texture coordinates set (integer number in [0,9]). The numbering corresponds to the texture layers of the material attribute, see also Texturing: essential knowledge.

Returns

The minimal or maximal u or v value of the selected uvset (the versions without parameter use uvset 0).

geometry.volume function

Syntax

  • float geometry.volume()

Returns

Volume of the current shape's geometry.

Related

  • geometry.area function

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In this topic
  1. geometry.angle function
  2. geometry.area function
  3. geometry.boundaryLength
  4. geometry.{du|dv} functions
  5. geometry.height function
  6. geometry.isClosedSurface function
  7. geometry.isConcave function
  8. geometry.isInstanced function
  9. geometry.isOriented function
  10. geometry.isPlanar function
  11. geometry.isRectangular function
  12. geometry.nEdges function
  13. geometry.nFaces function
  14. geometry.nHoles function
  15. geometry.nVertices function
  16. geometry.{uMin|uMax|vMin|vMax} functions
  17. geometry.volume function