Point

class dolfin.cpp.mesh.Point(*args)

Bases: object

A Point represents a point in \(\mathbb{R}^3\) with coordinates \(x, y, z,\) or alternatively, a vector in \(\mathbb{R}^3\), supporting standard operations like the norm, distances, scalar and vector products etc.

Overloaded versions

• Point(x=0.0, y=0.0, z=0.0)

  Create a point at (x, y, z). Default value (0, 0, 0).

  Arguments

  x (float)

  The x-coordinate.

  y (float)

  The y-coordinate.

  z (float)

  The z-coordinate.

• Point(dim, x)

  Create point from array

  Arguments

  dim (int)

  Dimension of the array.

  x (float)

  The array to create a Point from.

• Point(x)

  Create point from Array

  Arguments

  x (Array<double>)

  Array of coordinates.

• Point(p)

  Copy constructor

  Arguments

  p (Point)

  The object to be copied.

coordinates()

Overloaded versions

• coordinates()

  Return coordinate array

  Returns

  list of doubles

  The coordinates.

• coordinates()

  Return coordinate array (const. version)

  Returns

  list of doubles

  The coordinates.

cross()

Compute cross product with given vector

Arguments

p (Point)

Another point.

Returns

Point

The cross product.

distance()

Compute distance to given point

Arguments

p (Point)

The point to compute distance to.

Returns

float

The distance.

Example

Note

No example code available for this function.

dot()

Compute dot product with given vector

Arguments

p (Point)

Another point.

Returns

float

The dot product.

Example

Note

No example code available for this function.

norm()

Compute norm of point representing a vector from the origin

Returns

float

The (Euclidean) norm of the vector from the origin to the point.

Example

Note

No example code available for this function.

rotate()

Rotate around a given axis

Arguments

a (Point)

The axis to rotate around. Must be unit length.

theta (_double_)

The rotation angle.

Returns

Point

The rotated point.

squared_distance()

Compute squared distance to given point

Arguments

p (Point)

The point to compute distance to.

Returns

float

The squared distance.

Example

Note

No example code available for this function.

squared_norm()

Compute norm of point representing a vector from the origin

Returns

float

The squared (Euclidean) norm of the vector from the origin of the point.

Example

Note

No example code available for this function.

str()

Return informal string representation (pretty-print)

Arguments

verbose (bool)

Flag to turn on additional output.

Returns

str

An informal representation of the function space.

thisown None

The membership flag

x()

Return x-coordinate

Returns

float

The x-coordinate.

y()

Return y-coordinate

Returns

float

The y-coordinate.

z()

Return z-coordinate

Returns

float

The z-coordinate.