Record TTriangle3

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Source: src/transform/castletriangles.pas (line 46).

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Source: src/transform/castletriangles.pas (line 54).

Multiline triangle description.

Source: src/transform/castletriangles.pas (line 63).

Check does the triangle define a correct plane in 3D space. That is, check does the triangle not degenerate to a point or line segment (which can happen when some points are at the same position, or are colinear).

Source: src/transform/castletriangles.pas (line 68).

Like a normal vector of a triangle (see Normal), but not necessarily normalized.

Source: src/transform/castletriangles.pas (line 71).

Normal vector of a triangle. Returns vector pointing our from CCW triangle side (for right-handed coordinate system), and orthogonal to triangle plane. For degenerated triangles (when IsValid would return False), we return zero vector.

Source: src/transform/castletriangles.pas (line 77).

Plane of the triangle. Note that this has many possible solutions (plane representation as equation Ax + By + Cz + D = 0 is not unambiguous), this just returns some solution deterministically.

It's guaranteed that the direction of this plane (i.e. first 3 items of returned vector) will be in the same direction as calcualted by Direction, which means that it points outward from CCW side of the triangle (assuming right-handed coord system).

For NormalizedPlane, this direction is also normalized (makes a vector with length 1). This way NormalizedPlane calculates also Normal.

For three points that do not define a plane, a plane with first three components = 0 is returned. In fact, the 4th component will be zero too in this case (for now), but don't depend on it.

Source: src/transform/castletriangles.pas (line 96).

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Source: src/transform/castletriangles.pas (line 97).

Transform triangle by 4x4 matrix. This simply transforms each triangle point.

Exceptions raised

ETransformedResultInvalid

Raised when matrix will transform some point to a direction (vector with 4th component equal zero). In this case we just cannot interpret the result as a 3D point.

Source: src/transform/castletriangles.pas (line 104).

Surface area of 3D triangle. This works for degenerated (equal to line segment or even single point) triangles too: returns 0 for them.

Source: src/transform/castletriangles.pas (line 111).

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Source: src/transform/castletriangles.pas (line 112).

Random triangle point, chosen with a constant density for triangle area.

Source: src/transform/castletriangles.pas (line 116).

For a given Point lying on a given Triangle, calculate it's barycentric coordinates.

The resulting Barycentric coordinates can be used for linearly interpolating values along the triangle, as they satisfy the equation:

Result.X * Triangle.Data[0] +
Result.Y * Triangle.Data[1] +
Result.Z * Triangle.Data[2] = Point

See also [http://en.wikipedia.org/wiki/Barycentric_coordinate_system_%28mathematics%29]

Source: src/transform/castletriangles.pas (line 131).

Access the points of the triangle. This is the same as accessing Data field, it is also the default record property so you can just write MyTriangle[0] instead of MyTriangle.Items[0] or MyTriangle.Data[0].

Source: src/transform/castletriangles.pas (line 60).