IMP
2.0.1
The Integrative Modeling Platform
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Simple 3D rotation class. More...
#include <IMP/algebra/algebra_config.h>
#include "Vector3D.h"
#include "utility.h"
#include "constants.h"
#include "GeometricPrimitiveD.h"
#include <IMP/base/log.h>
#include <cmath>
#include <iostream>
#include <algorithm>
Go to the source code of this file.
Classes | |
class | IMP::algebra::FixedXYZ |
A simple class for returning XYZ Euler angles. More... | |
class | IMP::algebra::FixedZXZ |
A simple class for returning ZXZ Euler angles. More... | |
class | IMP::algebra::FixedZYZ |
A simple class for returning ZYZ Euler angles. More... | |
class | IMP::algebra::Rotation3D |
3D rotation class. More... | |
Namespaces | |
namespace | IMP |
All IMP::kernel code is brought into the IMP namespace. | |
namespace | IMP::algebra |
See IMP.algebra Overview for more information. | |
Typedefs | |
typedef std::pair< Vector3D, double > | IMP::algebra::AxisAnglePair |
typedef IMP::base::Vector < Rotation3D > | IMP::algebra::Rotation3Ds |
Functions | |
Rotation3D | IMP::algebra::compose (const Rotation3D &a, const Rotation3D &b) |
std::pair< Vector3D, double > | IMP::algebra::get_axis_and_angle (const Rotation3D &rot) |
Decompose a Rotation3D object into a rotation around an axis. More... | |
double | IMP::algebra::get_distance (const Rotation3D &r0, const Rotation3D &r1) |
Return a distance between the two rotations. More... | |
Rotation3D | IMP::algebra::get_identity_rotation_3d () |
Return a rotation that does not do anything. More... | |
Rotation3D | IMP::algebra::get_interpolated (const Rotation3D &a, const Rotation3D &b, double f) |
Interpolate between two rotations. More... | |
Rotation3D | IMP::algebra::get_random_rotation_3d () |
Pick a rotation at random from all possible rotations. More... | |
Rotation3D | IMP::algebra::get_random_rotation_3d (const Rotation3D ¢er, double distance) |
Pick a rotation at random near the provided one. More... | |
Rotation3D | IMP::algebra::get_rotation_about_axis (const Vector3D &axis, double angle) |
Generate a Rotation3D object from a rotation around an axis. More... | |
Rotation3D | IMP::algebra::get_rotation_from_matrix (double m00, double m01, double m02, double m10, double m11, double m12, double m20, double m21, double m22) |
Generate a Rotation3D object from a rotation matrix. | |
Rotation3D | IMP::algebra::get_rotation_from_vector4d (const VectorD< 4 > &v) |
Compute a rotatation from an unnormalized quaternion. More... | |
Rotation3D | IMP::algebra::get_rotation_from_x_y_axes (const Vector3D &x, const Vector3D &y) |
Rotation3D | IMP::algebra::get_rotation_taking_first_to_second (const Vector3D &v1, const Vector3D &v2) |
Create a rotation from the first vector to the second one. | |
Rotation3Ds | IMP::algebra::get_uniform_cover_rotations_3d (unsigned int num_points) |
Cover the space of rotations evenly. More... | |
algebra::Rotation3Ds | IMP::algebra::get_uniformly_sampled_rotations (double delta) |
Generates a nondegenerate set of Euler angles with a delta resolution. More... | |
Euler Angles | |
There are many conventions for how to define Euler angles, based on choices of which of the x,y,z axis to use in what order and whether the rotation axis is in the body frame (and hence affected by previous rotations) or in in a fixed frame. See http://en.wikipedia.org/wiki/Conversion_between_quaternions_and_Euler_angles for a general description.
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typedef IMP::base::Vector < FixedZYZ > | IMP::algebra::FixedZYZs |
typedef IMP::base::Vector < FixedZXZ > | IMP::algebra::FixedZXZs |
typedef IMP::base::Vector < FixedXYZ > | IMP::algebra::FixedXYZs |
Rotation3D | IMP::algebra::get_rotation_from_fixed_xyz (double xr, double yr, double zr) |
Initialize a rotation in x-y-z order from three angles. More... | |
Rotation3D | IMP::algebra::get_rotation_from_fixed_zxz (double phi, double theta, double psi) |
Initialize a rotation from euler angles. More... | |
Rotation3D | IMP::algebra::get_rotation_from_fixed_zyz (double Rot, double Tilt, double Psi) |
Generate a rotation object from Euler Angles. More... | |
FixedZYZ | IMP::algebra::get_fixed_zyz_from_rotation (const Rotation3D &r) |
The inverse of rotation_from_fixed_zyz() More... | |
FixedZXZ | IMP::algebra::get_fixed_zxz_from_rotation (const Rotation3D &r) |
The inverse of rotation_from_fixed_zyz() More... | |
FixedXYZ | IMP::algebra::get_fixed_xyz_from_rotation (const Rotation3D &r) |
The inverse of rotation_from_fixed_xyz() More... | |
Copyright 2007-2013 IMP Inventors. All rights reserved.
Definition in file Rotation3D.h.