line Derived Type

type, public :: line

Defines the parametric form of a line


Contents

Variables

r0 v

Constructor

Type-Bound Procedures


Components

Type Visibility Attributes Name Initial
real(kind=real64), public :: r0(3)

The coordinates of the initial point .
real(kind=real64), public :: v(3)

The vector defining the orientation of the line.

Constructor

public interface line

  • private pure function line_from_2pts(pt1, pt2) result(rst)

    Constructs a line from two points.

    Arguments

    Type IntentOptional Attributes Name
    real(kind=real64), intent(in) :: pt1(3)

    The first point. This point will act as the initial point along the line such that in the equation of the line .
    real(kind=real64), intent(in) :: pt2(3)

    The second point.

    Return Value type(line)

    The resulting line.

  • private pure function line_from_2_planes(p1, p2) result(rst)

    Constructs a line from the intersection of two planes.

    Arguments

    Type IntentOptional Attributes Name
    class(plane), intent(in) :: p1

    The first plane.
    class(plane), intent(in) :: p2

    The second plane.

    Return Value type(line)

    The resulting line. NaN's are returned in the event that the two planes are parallel. For plane normals and , the intersection direction is

  • private pure function line_from_many_points(pts) result(rst)

    Constructs the line that best fits the supplied set of points in a least-squares sense.

    Arguments

    Type IntentOptional Attributes Name
    real(kind=real64), intent(in), dimension(:,:) :: pts

    An N-by-3 matrix where N is at least 2, but typically much larger. The fitted direction is the dominant right singular vector of the centered point matrix, i.e. the principal component of the cloud.

    Return Value type(line)

    The resulting line.


Type-Bound Procedures

procedure, public :: evaluate => line_eval

  • private pure function line_eval(this, t) result(rst)

    Evaluates the equation of the line at the specified parameter.

    Arguments

    Type IntentOptional Attributes Name
    class(line), intent(in) :: this

    The line.
    real(kind=real64), intent(in) :: t

    The parameter.

    Return Value real(kind=real64), (3)

    The location along the line defined by the parameter ,