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IMP Reference Guide
2.13.0
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 <Eigen/Dense>#include <IMP/log.h>#include <cmath>#include <iostream>#include <algorithm>
Include dependency graph for Rotation3D.h: This graph shows which files directly or indirectly include this file: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::Rotation3D |
| 3D rotation class. More... | |
Namespaces | |
| IMP | |
| Base functionality and abstract base classes for representation, scoring and sampling. | |
| IMP::algebra | |
| General purpose algebraic and geometric methods that are expected to be used by a wide variety of IMP modules. | |
Typedefs | |
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typedef std::pair< Vector3D, double > | IMP::algebra::AxisAnglePair |
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typedef std::pair < Rotation3DAdjoint, Rotation3DAdjoint > | IMP::algebra::ComposeRotation3DAdjoint |
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typedef std::pair< Vector3D, Rotation3DAdjoint > | IMP::algebra::RotatedVector3DAdjoint |
| typedef Vector4D | IMP::algebra::Rotation3DAdjoint |
| typedef IMP::Vector< Rotation3D > | IMP::algebra::Rotation3Ds |
Functions | |
| Rotation3D | IMP::algebra::compose (const Rotation3D &a, const Rotation3D &b) |
| void | IMP::algebra::compose_adjoint (const Rotation3D &A, const Rotation3D &B, Vector4D DC, Rotation3DAdjoint *DA, Rotation3DAdjoint *DB) |
Get adjoint of inputs to compose from adjoint of output. More... | |
| ComposeRotation3DAdjoint | IMP::algebra::compose_adjoint (const Rotation3D &A, const Rotation3D &B, const Rotation3DAdjoint &DC) |
Get adjoint of inputs to compose from adjoint of output. More... | |
| 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... | |
| Eigen::MatrixXd | IMP::algebra::get_gradient_of_composed_with_respect_to_first (const Rotation3D &q, const Rotation3D &p, bool wrt_unnorm=true) |
| Eigen::MatrixXd | IMP::algebra::get_gradient_of_composed_with_respect_to_second (const Rotation3D &q, const Rotation3D &p, bool wrt_unnorm=true) |
| 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... | |
| Eigen::MatrixXd | IMP::algebra::get_jacobian_of_composed_wrt_first (const Rotation3D &q, const Rotation3D &p, bool wrt_unnorm=false) |
| Get gradient of quaternion product with respect to first quaternion. More... | |
| Eigen::MatrixXd | IMP::algebra::get_jacobian_of_composed_wrt_second (const Rotation3D &q, const Rotation3D &p, bool wrt_unnorm=false) |
| Get Jacobian of quaternion product with respect to second quaternion. 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_about_normalized_axis (const Vector3D &axis_norm, double angle) |
| 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. More... | |
| Rotation3D | IMP::algebra::get_rotation_from_matrix (Eigen::Matrix3d m) |
| Generate a Rotation3D object from a rotation matrix. More... | |
| Rotation3D | IMP::algebra::get_rotation_from_vector4d (const VectorD< 4 > &v) |
| Compute a rotation 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. More... | |
| 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::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... | |
| FixedXYZ | IMP::algebra::get_fixed_xyz_from_rotation (const Rotation3D &r) |
| The inverse of rotation_from_fixed_xyz() More... | |
Simple 3D rotation class.
Copyright 2007-2020 IMP Inventors. All rights reserved.
Definition in file Rotation3D.h.