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.

Copy constructor

Parameters:	Point & p (const) – (`Point` ) The object to be copied.

array()¶

Return copy of coordinate array Returns list of double The coordinates.

Return type:	std::array< double, 3 >

cross()¶

Compute cross product with given vector

Parameters:	Point & p (const) – (`Point` ) Another point.
Return type:	const Point
Returns:	`Point` The cross product.

distance()¶

Compute distance to given point

Point p1(0, 4, 0);
Point p2(2, 0, 4);
info("%g", p1.distance(p2));

Parameters:	Point & p (const) – (`Point` ) The point to compute distance to.
Return type:	double
Returns:	double The distance.

dot()¶

Compute dot product with given vector

Point p1(1.0, 4.0, 8.0);
Point p2(2.0, 0.0, 0.0);
info("%g", p1.dot(p2));

Parameters:	Point & p (const) – (`Point` ) Another point.
Return type:	double
Returns:	double The dot product.

norm()¶

Compute norm of point representing a vector from the origin

Point p(1.0, 2.0, 2.0);
info("%g", p.norm());

Return type:	double
Returns:	double The (Euclidean) norm of the vector from the origin to the point.

rotate()¶

Rotate around a given axis

Parameters:	Point & a (const) – (`Point` ) The axis to rotate around. Must be unit length. theta (double) – (double) The rotation angle.
Return type:	Point
Returns:	`Point` The rotated point.

squared_distance()¶

Compute squared distance to given point

Parameters:	Point & p (const) – (`Point` ) The point to compute distance to.
Return type:	double
Returns:	double The squared distance.

squared_norm()¶

Compute norm of point representing a vector from the origin

Point p(1.0, 2.0, 2.0);
info("%g", p.squared_norm());

Return type:	double
Returns:	double The squared (Euclidean) norm of the vector from the origin of the point.

str()¶

Return informal string representation (pretty-print)

Parameters:	verbose (bool) – (bool) Flag to turn on additional output.
Return type:	std::string
Returns:	std::string An informal representation of the function space.

thisown¶: The membership flag

x()¶

Return x-coordinate

Return type:	double
Returns:	double The x-coordinate.

y()¶

Return y-coordinate

Return type:	double
Returns:	double The y-coordinate.

z()¶

Return z-coordinate

Return type:	double
Returns:	double The z-coordinate.