Geometry¶

Geometry functions.

design3d.geometry.angle_principal_measure(angle, min_angle=-3.141592653589793)[source]¶: Returns angle between O and 2 pi.

design3d.geometry.clockwise_angle(vector1, vector2)[source]¶: Return the clockwise angle in radians between vector1 and vector2.

design3d.geometry.clockwise_interior_from_circle3d(start, end, circle)[source]¶: Returns the clockwise interior point between start and end on the circle.

design3d.geometry.cos_image(x1: float, x2: float) → Tuple[float, float][source]¶: Returns the interval image of cosinus function between two values.

design3d.geometry.direction_to_euler_angles(u: Vector3D, v=None)[source]¶: Returns one possibility of euler angles from a vector indicating a direction.

design3d.geometry.euler_angles_to_transfer_matrix(psi, theta, phi)[source]¶

Give Transition Matrix from euler angles.

Angles in radians

design3d.geometry.get_transfer_matrix_from_basis(basis_a, basis_b)[source]¶: Get the matrix of tranformation that applied to the basis A gives basis B.

design3d.geometry.huygens2d(Ix, Iy, Ixy, area, point1, point2)[source]¶: Area acts the same way as the mass in 3D.

design3d.geometry.offset_angle(trigo, angle_start, angle_end)[source]¶

Calculates the offset and angle.

Seems unused

design3d.geometry.sin_cos_angle(u1, u2)[source]¶

Returns an angle between 0 and 2*PI verifying cos(theta)=u1, sin(theta)=u2.

Parameters:

Returns:

The angle verifying the two equations

Return type:

float

design3d.geometry.sin_image(x1: float, x2: float) → Tuple[float, float][source]¶: Returns the interval image of sinus function between two values.

design3d.geometry.transfer_matrix_to_euler_angles(r_matrix)[source]¶: Returns the Euler angle from a transfer matrix.

design3d.geometry.vectors3d_angle(vector1, vector2)[source]¶

Computes the angle between two 3 dimensional vectors.

Parameters:

Returns:

The angle between the two vectors

Return type:

float