Blender  V2.59
Classes | Defines | Typedefs | Enumerations | Functions
BLI_math_rotation.h File Reference
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Classes

struct  DualQuat

Defines

#define RAD2DEG(_rad)   ((_rad)*(180.0/M_PI))
#define DEG2RAD(_deg)   ((_deg)*(M_PI/180.0))
#define RAD2DEGF(_rad)   ((_rad)*(float)(180.0/M_PI))
#define DEG2RADF(_deg)   ((_deg)*(float)(M_PI/180.0))

Typedefs

typedef enum eEulerRotationOrders eEulerRotationOrders
typedef struct DualQuat DualQuat

Enumerations

enum  eEulerRotationOrders {
  EULER_ORDER_DEFAULT = 1, EULER_ORDER_XYZ = 1, EULER_ORDER_XZY, EULER_ORDER_YXZ,
  EULER_ORDER_YZX, EULER_ORDER_ZXY, EULER_ORDER_ZYX
}

Functions

void unit_axis_angle (float axis[3], float *angle)
void unit_qt (float q[4])
void copy_qt_qt (float q[4], const float a[4])
void mul_qt_qtqt (float q[4], const float a[4], const float b[4])
void mul_qt_v3 (const float q[4], float r[3])
void mul_qt_fl (float q[4], const float f)
void mul_fac_qt_fl (float q[4], const float f)
void sub_qt_qtqt (float q[4], const float a[4], const float b[4])
void invert_qt (float q[4])
void invert_qt_qt (float q1[4], const float q2[4])
void conjugate_qt (float q[4])
float dot_qtqt (const float a[4], const float b[4])
float normalize_qt (float q[4])
float normalize_qt_qt (float q1[4], const float q2[4])
int is_zero_qt (float q[4])
void interp_qt_qtqt (float q[4], const float a[4], const float b[4], const float t)
void add_qt_qtqt (float q[4], const float a[4], const float b[4], const float t)
void quat_to_mat3 (float mat[3][3], const float q[4])
void quat_to_mat4 (float mat[4][4], const float q[4])
void mat3_to_quat (float q[4], float mat[3][3])
void mat4_to_quat (float q[4], float mat[4][4])
void tri_to_quat (float q[4], const float a[3], const float b[3], const float c[3])
void vec_to_quat (float q[4], const float vec[3], short axis, const short upflag)
void rotation_between_vecs_to_quat (float q[4], const float v1[3], const float v2[3])
void rotation_between_quats_to_quat (float q[4], const float q1[4], const float q2[4])
void mat3_to_quat_is_ok (float q[4], float mat[3][3])
void print_qt (const char *str, const float q[4])
void axis_angle_to_quat (float r[4], const float axis[3], float angle)
void axis_angle_to_mat3 (float R[3][3], const float axis[3], const float angle)
void axis_angle_to_mat4 (float R[4][4], const float axis[3], const float angle)
void quat_to_axis_angle (float axis[3], float *angle, const float q[4])
void mat3_to_axis_angle (float axis[3], float *angle, float M[3][3])
void mat4_to_axis_angle (float axis[3], float *angle, float M[4][4])
void mat3_to_vec_rot (float vec[3], float *phi, float mat[3][3])
void mat4_to_vec_rot (float vec[3], float *phi, float mat[4][4])
void vec_rot_to_quat (float quat[4], const float vec[3], const float phi)
void vec_rot_to_mat3 (float mat[3][3], const float vec[3], const float phi)
void vec_rot_to_mat4 (float mat[4][4], const float vec[3], const float phi)
void eul_to_quat (float quat[4], const float eul[3])
void eul_to_mat3 (float mat[3][3], const float eul[3])
void eul_to_mat4 (float mat[4][4], const float eul[3])
void quat_to_eul (float eul[3], const float quat[4])
void mat3_to_eul (float eul[3], float mat[3][3])
void mat4_to_eul (float eul[3], float mat[4][4])
void compatible_eul (float eul[3], const float old[3])
void mat3_to_compatible_eul (float eul[3], const float old[3], float mat[3][3])
void rotate_eul (float eul[3], const char axis, const float angle)
void eulO_to_quat (float quat[4], const float eul[3], const short order)
void eulO_to_mat3 (float mat[3][3], const float eul[3], const short order)
void eulO_to_mat4 (float mat[4][4], const float eul[3], const short order)
void eulO_to_axis_angle (float axis[3], float *angle, const float eul[3], const short order)
void eulO_to_gimbal_axis (float gmat[3][3], const float eul[3], const short order)
void quat_to_eulO (float eul[3], const short order, const float quat[4])
void mat3_to_eulO (float eul[3], const short order, float mat[3][3])
void mat4_to_eulO (float eul[3], const short order, float mat[4][4])
void axis_angle_to_eulO (float eul[3], const short order, const float axis[3], const float angle)
void mat3_to_compatible_eulO (float eul[3], float old[3], short order, float mat[3][3])
void mat4_to_compatible_eulO (float eul[3], float old[3], short order, float mat[4][4])
void rotate_eulO (float eul[3], short order, char axis, float angle)
void copy_dq_dq (DualQuat *r, DualQuat *dq)
void normalize_dq (DualQuat *dq, float totw)
void add_weighted_dq_dq (DualQuat *r, DualQuat *dq, float weight)
void mul_v3m3_dq (float r[3], float R[3][3], DualQuat *dq)
void mat4_to_dquat (DualQuat *r, float base[4][4], float M[4][4])
void dquat_to_mat4 (float R[4][4], DualQuat *dq)
void quat_apply_track (float quat[4], short axis, short upflag)
void vec_apply_track (float vec[3], short axis)
float lens_to_angle (float lens)
float angle_to_lens (float angle)
float angle_wrap_rad (float angle)
float angle_wrap_deg (float angle)

Detailed Description

Definition in file BLI_math_rotation.h.

Define Documentation

#define DEG2RAD (   _deg)    ((_deg)*(M_PI/180.0))

Definition at line 40 of file BLI_math_rotation.h.

Referenced by rna_def_mesh(), rna_def_modifier_bevel(), rna_def_modifier_edgesplit(), and rna_def_wipe().

#define DEG2RADF (   _deg)    ((_deg)*(float)(M_PI/180.0))

Definition at line 44 of file BLI_math_rotation.h.

Referenced by BoneRoll(), init_mapping(), radial_control_modal(), Rotation(), Tilt(), Trackball(), transform_evaluate(), viewrotate_apply(), and Warp().

#define RAD2DEG (   _rad)    ((_rad)*(180.0/M_PI))

Definition at line 39 of file BLI_math_rotation.h.

Referenced by draw_uvs_stretch(), flyApply_ndof(), sk_detectDeleteGesture(), sk_detectReverseGesture(), and sk_detectTrimGesture().

#define RAD2DEGF (   _rad)    ((_rad)*(float)(180.0/M_PI))

Definition at line 43 of file BLI_math_rotation.h.

Referenced by axisProjection(), bevel_list_flip_tangents(), BoneRoll(), draw_em_measure_stats(), draw_pose_dofs(), drawHelpline(), laplacian_triangle_area(), measure_facepair(), radial_control_modal(), radial_control_paint_cursor(), radial_control_paint_tex(), Rotation(), similar_edge_select__internal(), similar_face_select__internal(), similar_vert_select_exec(), test_manipulator_axis(), Tilt(), Trackball(), and Warp().

Typedef Documentation

typedef struct DualQuat DualQuat
typedef enum eEulerRotationOrders eEulerRotationOrders

Enumeration Type Documentation

enum eEulerRotationOrders
Enumerator:
EULER_ORDER_DEFAULT 
EULER_ORDER_XYZ 
EULER_ORDER_XZY 
EULER_ORDER_YXZ 
EULER_ORDER_YZX 
EULER_ORDER_ZXY 
EULER_ORDER_ZYX 

Definition at line 137 of file BLI_math_rotation.h.

Function Documentation

void add_qt_qtqt ( float  q[4],
const float  a[4],
const float  b[4],
const float  t 
)

Definition at line 586 of file math_rotation.c.

Referenced by pose_slide_apply_quat(), and Quaternion_add().

void add_weighted_dq_dq ( DualQuat *  r,
DualQuat *  dq,
float  weight 
)

Definition at line 1484 of file math_rotation.c.

References add_m4_m4m4(), copy_m4_m4(), dot_qtqt(), mul_m4_fl(), DualQuat::quat, DualQuat::scale, DualQuat::scale_weight, and DualQuat::trans.

Referenced by dist_bone_deform(), and pchan_bone_deform().

float angle_to_lens ( float  angle)

Definition at line 1674 of file math_rotation.c.

References tanf.

Referenced by DocumentImporter::writeCamera().

float angle_wrap_deg ( float  angle)

Definition at line 1690 of file math_rotation.c.

References mod_inline().

float angle_wrap_rad ( float  angle)

Definition at line 1685 of file math_rotation.c.

References M_PI, and mod_inline().

Referenced by C_Matrix_Rotation(), Quaternion_new(), Quaternion_setAngle(), and Rotation().

void axis_angle_to_eulO ( float  eul[3],
const short  order,
const float  axis[3],
const float  angle 
)

Definition at line 692 of file math_rotation.c.

References axis_angle_to_quat(), and quat_to_eulO().

Referenced by BKE_rotMode_change_values(), object_clear_rot(), pchan_clear_rot(), pose_paste_exec(), and protectedAxisAngleBits().

void axis_angle_to_mat3 ( float  R[3][3],
const float  axis[3],
const float  angle 
)

Definition at line 712 of file math_rotation.c.

References co, cos(), normalize_v3_v3(), si, sin(), and unit_m3().

Referenced by apply_targetless_ik(), applyModifier(), axis_angle_to_mat4(), C_Matrix_Rotation(), damptrack_evaluate(), do_rotate_brush(), joint_callback(), object_rot_to_mat3(), pchan_to_mat4(), and splineik_evaluate_bone().

void axis_angle_to_mat4 ( float  R[4][4],
const float  axis[3],
const float  angle 
)

Definition at line 743 of file math_rotation.c.

References axis_angle_to_mat3(), copy_m4_m3(), and unit_m4().

Referenced by constraintob_from_transdata(), TransformReader::dae_rotate_to_mat4(), and AnimationImporter::evaluate_animation().

void axis_angle_to_quat ( float  r[4],
const float  axis[3],
float  angle 
)

Definition at line 646 of file math_rotation.c.

References cos(), normalize_v3_v3(), si, sin(), and unit_qt().

Referenced by applyModifier(), applyTranslation(), axis_angle_to_eulO(), axis_angle_to_gimbal_axis(), basic_rotate(), bevel_list_apply_tilt(), bevel_list_smooth(), BKE_rotMode_change_values(), boid_body(), cache_key_incremental_rotation(), do_guides(), do_kink(), draw_rotation_guide(), ElementRotation(), flyApply(), flyApply_ndof(), loc_axisangle_size_to_mat4(), make_bevel_list_3D_minimum_twist(), make_bevel_list_segment_3D(), ndof_orbit_invoke(), ndof_to_quat(), pose_paste_exec(), psys_get_birth_coordinates(), Quaternion_new(), Quaternion_setAngle(), Quaternion_setAxisVec(), rollBoneByQuatJoint(), rotation_between_vecs_to_quat(), v3d_posearmature_buts(), view3d_align_axis_to_vector(), and viewrotate_apply().

void compatible_eul ( float  eul[3],
const float  old[3] 
)

Definition at line 1024 of file math_rotation.c.

References fabs(), and M_PI.

Referenced by do_strip_modifiers(), Euler_make_compatible(), mat3_to_compatible_eul(), mat3_to_compatible_eulO(), and rotlike_evaluate().

void conjugate_qt ( float  q[4])

Referenced by invert_qt(), Quaternion_conjugate(), rotation_between_quats_to_quat(), and viewrotate_apply().

void copy_dq_dq ( DualQuat *  r,
DualQuat *  dq 
)

Definition at line 1591 of file math_rotation.c.

Referenced by b_bone_deform().

void copy_qt_qt ( float  q[4],
const float  a[4] 
)

Referenced by boid_body(), calc_curve_deform(), dquat_to_mat4(), ED_object_rotation_from_view(), flyEnd(), initFlyInfo(), invert_qt_qt(), normalize_qt_qt(), object_tfm_backup(), object_tfm_restore(), offset_child(), psys_cache_edit_paths(), psys_get_birth_coordinates(), psys_thread_create_path(), quat_mul_float(), region_quadview_exec(), restore_localviewdata(), rotation_between_quats_to_quat(), smooth_view(), view3d_setcameratoview_exec(), view3d_smoothview_invoke(), viewnumpad_exec(), viewops_data_create(), viewrotate_apply(), and where_on_path_deform().

float dot_qtqt ( const float  a[4],
const float  b[4] 
)

Definition at line 110 of file math_rotation.c.

Referenced by add_weighted_dq_dq(), dquat_to_mat4(), invert_qt(), mul_v3m3_dq(), normalize_qt(), quat_to_axis_angle(), quat_to_mat3(), quat_to_mat4(), Quaternion_dot(), Quaternion_getMagnitude(), and rotation_between_quats_to_quat().

void dquat_to_mat4 ( float  R[4][4],
DualQuat *  dq 
)
void eul_to_mat3 ( float  mat[3][3],
const float  eul[3] 
)

Referenced by ED_object_new_primitive_matrix(), init_mapping(), loc_eul_size_to_mat4(), and rotate_eul().

void eul_to_mat4 ( float  mat[4][4],
const float  eul[3] 
)

Referenced by drawRBpivot(), and envmap_transmatrix().

void eul_to_quat ( float  quat[4],
const float  eul[3] 
)

Referenced by do_view3d_region_buttons(), object_clear_rot(), pchan_clear_rot(), pose_paste_exec(), and protectedQuaternionBits().

void eulO_to_axis_angle ( float  axis[3],
float *  angle,
const float  eul[3],
const short  order 
)

Definition at line 702 of file math_rotation.c.

References eulO_to_quat(), and quat_to_axis_angle().

Referenced by BKE_rotMode_change_values(), object_clear_rot(), pchan_clear_rot(), pose_paste_exec(), and protectedAxisAngleBits().

void eulO_to_gimbal_axis ( float  gmat[3][3],
const float  eul[3],
const short  order 
)

Referenced by gimbal_axis().

void eulO_to_mat3 ( float  mat[3][3],
const float  eul[3],
const short  order 
)

Definition at line 1187 of file math_rotation.c.

References RotOrderInfo::axis, cos(), GET_ROTATIONORDER_INFO, i, RotOrderInfo::parity, R, si, and sin().

Referenced by apply_targetless_ik(), ElementRotation(), Euler_rotate(), Euler_to_matrix(), eulO_to_gimbal_axis(), eulO_to_mat4(), joint_callback(), loc_eulO_size_to_mat4(), mathutils_any_to_rotmat(), object_rot_to_mat3(), pchan_to_mat4(), and rotate_eulO().

void eulO_to_mat4 ( float  mat[4][4],
const float  eul[3],
const short  order 
)

Definition at line 1254 of file math_rotation.c.

References copy_m4_m3(), eulO_to_mat3(), and normalize_m3().

Referenced by constraintob_from_transdata().

void eulO_to_quat ( float  quat[4],
const float  eul[3],
const short  order 
)

Definition at line 1148 of file math_rotation.c.

References RotOrderInfo::axis, cos(), GET_ROTATIONORDER_INFO, i, RotOrderInfo::parity, R, si, and sin().

Referenced by BKE_rotMode_change_values(), Euler_to_quaternion(), eulO_to_axis_angle(), object_mat3_to_rot(), and pose_paste_exec().

void interp_qt_qtqt ( float  q[4],
const float  a[4],
const float  b[4],
const float  t 
)

Definition at line 549 of file math_rotation.c.

References acos(), and sin().

Referenced by bevel_list_smooth(), blend_m3_m3m3(), blend_m4_m4m4(), calc_curvepath(), collision_response(), do_particle_interpolation(), execute_posetree(), game_blend_poses(), pose_slide_apply_quat(), psys_get_birth_coordinates(), psys_get_particle_state(), ptcache_particle_interpolate(), Quaternion_slerp(), view3d_smoothview_invoke(), and where_on_path().

void invert_qt ( float  q[4])

Referenced by axis_set_view(), dvar_eval_rotDiff(), invert_qt_qt(), object_mat3_to_rot(), and Quaternion_invert().

void invert_qt_qt ( float  q1[4],
const float  q2[4] 
)

Referenced by flyApply_ndof(), ndof_orbit_invoke(), ndof_pan_invoke(), smooth_view(), and viewrotate_apply().

int is_zero_qt ( float  q[4])
float lens_to_angle ( float  lens)

Definition at line 1669 of file math_rotation.c.

References atanf.

Referenced by CamerasExporter::operator()(), and project_camera_info().

void mat3_to_axis_angle ( float  axis[3],
float *  angle,
float  M[3][3] 
)

Definition at line 753 of file math_rotation.c.

References mat3_to_quat(), and quat_to_axis_angle().

Referenced by apply_targetless_ik(), object_mat3_to_rot(), pchan_mat3_to_rot(), and pivotcon_evaluate().

void mat3_to_compatible_eul ( float  eul[3],
const float  old[3],
float  mat[3][3] 
)

Referenced by Matrix_to_euler(), Quaternion_to_euler(), and KX_BlenderSceneConverter::WritePhysicsObjectToAnimationIpo().

void mat3_to_compatible_eulO ( float  eul[3],
float  old[3],
short  order,
float  mat[3][3] 
)

Definition at line 1293 of file math_rotation.c.

References compatible_eul(), copy_v3_v3(), fabs(), and mat3_to_eulo2().

Referenced by ElementRotation(), Euler_rotate(), mat4_to_compatible_eulO(), Matrix_to_euler(), object_mat3_to_rot(), pchan_mat3_to_rot(), and Quaternion_to_euler().

void mat3_to_eul ( float  eul[3],
float  mat[3][3] 
)

Referenced by apply_armature_pose2bones_exec(), mat4_to_eul(), Matrix_to_euler(), quat_to_eul(), and rotate_eul().

void mat3_to_eulO ( float  eul[3],
const short  order,
float  mat[3][3] 
)

Definition at line 1266 of file math_rotation.c.

References copy_v3_v3(), fabs(), and mat3_to_eulo2().

Referenced by apply_targetless_ik(), mat4_to_eulO(), Matrix_to_euler(), object_mat3_to_rot(), pchan_mat3_to_rot(), quat_to_eulO(), and rotate_eulO().

void mat3_to_quat ( float  q[4],
float  mat[3][3] 
)

Referenced by apply_targetless_ik(), axis_set_view(), blend_m3_m3m3(), blend_m4_m4m4(), ElementRotation(), execute_posetree(), mat3_to_axis_angle(), mat3_to_eul2(), mat3_to_vec_rot(), mat4_to_quat(), Matrix_decompose(), Matrix_to_quaternion(), object_mat3_to_rot(), obmat_to_viewmat(), pchan_mat3_to_rot(), and Quaternion_rotate().

void mat3_to_quat_is_ok ( float  q[4],
float  mat[3][3] 
)

Definition at line 315 of file math_rotation.c.

References angle(), KDL::atan2(), co, copy_m3_m3(), cos(), invert_m3_m3(), mul_m3_v3(), mul_qt_qtqt(), normalize_m3(), normalize_v3(), quat_to_mat3_no_error(), saacos(), si, and sin().

Referenced by boid_body(), psys_cache_edit_paths(), and psys_get_birth_coordinates().

void mat3_to_vec_rot ( float  vec[3],
float *  phi,
float  mat[3][3] 
)

Definition at line 778 of file math_rotation.c.

References mat3_to_quat(), and quat_to_axis_angle().

void mat4_to_axis_angle ( float  axis[3],
float *  angle,
float  M[4][4] 
)

Definition at line 764 of file math_rotation.c.

References mat4_to_quat(), and quat_to_axis_angle().

Referenced by constraintRotLim().

void mat4_to_compatible_eulO ( float  eul[3],
float  old[3],
short  order,
float  mat[4][4] 
)

Definition at line 1313 of file math_rotation.c.

References copy_m3_m4(), mat3_to_compatible_eulO(), and normalize_m3().

Referenced by fluid_init_all_channels(), and rotlike_evaluate().

void mat4_to_dquat ( DualQuat *  r,
float  base[4][4],
float  M[4][4] 
)

Referenced by armature_deform_verts(), and pchan_b_bone_defmats().

void mat4_to_eul ( float  eul[3],
float  mat[4][4] 
)

Referenced by actcon_get_tarmat(), TransformWriter::add_node_transform_ob(), TransformBase::decompose(), do_strip_modifiers(), KX_BlenderSceneConverter::resetNoneDynamicObjectToIpo(), and AnimationExporter::sample_animation().

void mat4_to_eulO ( float  eul[3],
const short  order,
float  mat[4][4] 
)

Definition at line 1282 of file math_rotation.c.

References copy_m3_m4(), mat3_to_eulO(), and normalize_m3().

Referenced by childof_evaluate(), constraintRotLim(), dvar_eval_transChan(), pivotcon_evaluate(), rotlike_evaluate(), rotlimit_evaluate(), transform_evaluate(), and visualkey_get_value().

void mat4_to_quat ( float  q[4],
float  mat[4][4] 
)

Referenced by constraintRotLim(), TransformBase::decompose(), dvar_eval_rotDiff(), ED_view3d_from_m4(), execute_posetree(), mat4_to_axis_angle(), mat4_to_dquat(), mat4_to_vec_rot(), Matrix_to_quaternion(), psys_get_birth_coordinates(), and AnimationImporter::translate_animation().

void mat4_to_vec_rot ( float  vec[3],
float *  phi,
float  mat[4][4] 
)

Definition at line 789 of file math_rotation.c.

References mat4_to_quat(), and quat_to_axis_angle().

void mul_fac_qt_fl ( float  q[4],
const float  f 
)

Referenced by game_blend_poses().

void mul_qt_fl ( float  q[4],
const float  f 
)

Referenced by dquat_to_mat4(), invert_qt(), normalize_dq(), normalize_qt(), object_clear_rot(), pchan_clear_rot(), protectedQuaternionBits(), quat_mul_float(), Quaternion_negate(), Quaternion_rotate(), Quaternion_setAngle(), and Quaternion_setAxisVec().

void mul_qt_qtqt ( float  q[4],
const float  a[4],
const float  b[4] 
)

Referenced by axis_set_view(), basic_rotate(), bevel_list_apply_tilt(), bevel_list_smooth(), cache_key_incremental_rotation(), calc_curve_deform(), dvar_eval_rotDiff(), ElementRotation(), finalizeControl(), flyApply(), flyApply_ndof(), followpath_get_tarmat(), game_blend_poses(), make_bevel_list_3D_minimum_twist(), make_bevel_list_segment_3D(), mat3_to_quat_is_ok(), ndof_orbit_invoke(), ob_parcurve(), object_mat3_to_rot(), psys_get_birth_coordinates(), psys_thread_create_path(), quat_apply_track(), Quaternion_cross(), Quaternion_mul(), repositionBone(), rotation_between_quats_to_quat(), sub_qt_qtqt(), tri_to_quat(), vec_to_quat(), vieworbit_exec(), and viewrotate_apply().

void mul_qt_v3 ( const float  q[4],
float  r[3] 
)

Referenced by applyModifier(), axis_angle_to_gimbal_axis(), barycentric_transform(), bevel_list_smooth(), boid_body(), calc_curve_deform(), do_guides(), do_kink(), do_makeDispListCurveTypes(), do_physical_effector(), draw_particle(), draw_rotation_guide(), draw_view_axis(), drawnurb(), explodeMesh(), flyApply_ndof(), get_effector_data(), make_bevel_list_3D_minimum_twist(), ndof_orbit_invoke(), ndof_pan_invoke(), offset_child(), psys_thread_create_path(), Quaternion_mul(), repositionControl(), rollBoneByQuat(), rollBoneByQuatAligned(), rollBoneByQuatJoint(), rule_average_speed(), smooth_view(), Vector_imul(), Vector_mul(), and viewrotate_apply().

void mul_v3m3_dq ( float  r[3],
float  R[3][3],
DualQuat *  dq 
)

Referenced by armature_deform_verts().

void normalize_dq ( DualQuat *  dq,
float  totw 
)

Definition at line 1519 of file math_rotation.c.

References mul_m4_fl(), mul_qt_fl(), DualQuat::quat, DualQuat::scale, DualQuat::scale_weight, and DualQuat::trans.

Referenced by armature_deform_verts().

float normalize_qt ( float  q[4])

Referenced by axis_set_view(), barycentric_transform(), basic_rotate(), bevel_list_apply_tilt(), bevel_list_smooth(), BKE_rotMode_change_values(), calc_curve_deform(), calc_curvepath(), game_blend_poses(), joint_callback(), make_bevel_list_segment_3D(), mat3_to_quat(), normalize_qt_qt(), ob_parcurve(), pose_paste_exec(), psys_get_birth_coordinates(), Quaternion_normalize(), and viewrotate_apply().

float normalize_qt_qt ( float  q1[4],
const float  q2[4] 
)

Definition at line 375 of file math_rotation.c.

References copy_qt_qt(), and normalize_qt().

Referenced by constraintob_from_transdata(), mathutils_any_to_rotmat(), new_particle_duplilist(), object_mat3_to_rot(), object_rot_to_mat3(), pchan_clear_rot(), pchan_to_mat4(), protectedQuaternionBits(), Quaternion_getAngle(), Quaternion_getAxisVec(), Quaternion_rotate(), Quaternion_setAngle(), Quaternion_setAxisVec(), and Quaternion_to_euler().

void print_qt ( const char *  str,
const float  q[4] 
)

Definition at line 638 of file math_rotation.c.

void quat_apply_track ( float  quat[4],
short  axis,
short  upflag 
)

Definition at line 1597 of file math_rotation.c.

References assert, and mul_qt_qtqt().

Referenced by calc_curve_deform(), followpath_get_tarmat(), and ob_parcurve().

void quat_to_axis_angle ( float  axis[3],
float *  angle,
const float  q[4] 
)

Definition at line 665 of file math_rotation.c.

References acos(), dot_qtqt(), fabs(), fabsf, QUAT_EPSILON, si, and sin().

Referenced by BKE_rotMode_change_values(), do_view3d_region_buttons(), ElementRotation(), eulO_to_axis_angle(), mat3_to_axis_angle(), mat3_to_vec_rot(), mat4_to_axis_angle(), mat4_to_vec_rot(), pose_paste_exec(), Quaternion_getAxisVec(), Quaternion_setAngle(), and Quaternion_setAxisVec().

void quat_to_eul ( float  eul[3],
const float  quat[4] 
)

Referenced by ED_object_rotation_from_view(), object_clear_rot(), pchan_clear_rot(), pose_paste_exec(), protectedQuaternionBits(), Quaternion_to_euler(), and v3d_posearmature_buts().

void quat_to_eulO ( float  eul[3],
const short  order,
const float  quat[4] 
)

Definition at line 1178 of file math_rotation.c.

References M, mat3_to_eulO(), and quat_to_mat3().

Referenced by axis_angle_to_eulO(), BKE_rotMode_change_values(), pose_paste_exec(), and Quaternion_to_euler().

void quat_to_mat3 ( float  mat[3][3],
const float  q[4] 
)

Referenced by apply_targetless_ik(), applyTranslation(), blend_m3_m3m3(), crazyspace_build_sculpt(), createTransEditVerts(), curve_deform_vector(), dupli_extrude_cursor(), execute_posetree(), face_duplilist(), joint_callback(), loc_quat_size_to_mat4(), make_prim(), mat3_to_eul2(), mathutils_any_to_rotmat(), ob_parvert3(), object_mat3_to_rot(), object_rot_to_mat3(), pchan_to_mat4(), quat_to_eul(), quat_to_eulO(), Quaternion_rotate(), Quaternion_to_euler(), Quaternion_to_matrix(), spin_mesh(), spin_nurb(), spotvolume(), tri_to_quat(), vec_to_quat(), vertex_dupli__mapFunc(), and viewrotate_apply().

void quat_to_mat4 ( float  mat[4][4],
const float  q[4] 
)

Referenced by constraintob_from_transdata(), dquat_to_mat4(), ED_view3d_to_m4(), followpath_get_tarmat(), getTransformOrientation(), init_meta(), mat4_to_dquat(), new_particle_duplilist(), ob_parcurve(), and setviewmatrixview3d().

void rotate_eul ( float  eul[3],
const char  axis,
const float  angle 
)
void rotate_eulO ( float  eul[3],
short  order,
char  axis,
float  angle 
)

Definition at line 1324 of file math_rotation.c.

References assert, eulO_to_mat3(), mat3_to_eulO(), and mul_m3_m3m3().

Referenced by Euler_rotate_axis(), and rotlike_evaluate().

void rotation_between_quats_to_quat ( float  q[4],
const float  q1[4],
const float  q2[4] 
)

Referenced by Quaternion_rotation_difference().

void rotation_between_vecs_to_quat ( float  q[4],
const float  v1[3],
const float  v2[3] 
)

Referenced by barycentric_transform(), calc_curve_deform(), finalizeControl(), repositionBone(), rollBoneByQuatAligned(), rollBoneByQuatJoint(), Vector_rotation_difference(), and viewrotate_apply().

void sub_qt_qtqt ( float  q[4],
const float  a[4],
const float  b[4] 
)

Definition at line 141 of file math_rotation.c.

References mul_qt_qtqt().

Referenced by explodeMesh(), pose_slide_apply_quat(), and set_crazy_vertex_quat().

void tri_to_quat ( float  q[4],
const float  a[3],
const float  b[3],
const float  c[3] 
)

Definition at line 594 of file math_rotation.c.

References angle(), KDL::atan2(), co, cos(), invert_m3_m3(), mul_m3_v3(), mul_qt_qtqt(), normal_tri_v3(), normalize_v3(), quat_to_mat3(), saacos(), si, sin(), and sub_v3_v3v3().

Referenced by face_duplilist(), make_bevel_list_3D_tangent(), ob_parvert3(), and set_crazy_vertex_quat().

void unit_axis_angle ( float  axis[3],
float *  angle 
)

Definition at line 43 of file math_rotation.c.

Referenced by add_only_object(), apply_armature_pose2bones_exec(), apply_objects_internal(), do_versions(), object_clear_rot(), pchan_clear_rot(), rest_pose(), and verify_pose_channel().

void unit_qt ( float  q[4])

Definition at line 52 of file math_rotation.c.

Referenced by add_metaball_element(), add_only_object(), apply_armature_pose2bones_exec(), apply_objects_internal(), axis_angle_to_quat(), cache_key_incremental_rotation(), do_versions(), newQuaternionObject(), object_clear_rot(), offset_child(), pchan_clear_rot(), psys_get_birth_coordinates(), psys_thread_create_path(), Quaternion_identity(), repositionBone(), rest_pose(), vec_rot_to_quat(), and verify_pose_channel().

void vec_apply_track ( float  vec[3],
short  axis 
)

Definition at line 1626 of file math_rotation.c.

References assert, and copy_v3_v3().

Referenced by calc_curve_deform().

void vec_rot_to_mat3 ( float  mat[3][3],
const float  vec[3],
const float  phi 
)

Referenced by applyRotation(), applyTrackball(), drawlamp(), Trackball(), vec_roll_to_mat3(), and vec_rot_to_mat4().

void vec_rot_to_mat4 ( float  mat[4][4],
const float  vec[3],
const float  phi 
)
void vec_rot_to_quat ( float  quat[4],
const float  vec[3],
const float  phi 
)
void vec_to_quat ( float  q[4],
const float  vec[3],
short  axis,
const short  upflag 
)

Definition at line 411 of file math_rotation.c.

References angle(), assert, KDL::atan2(), co, cos(), fabs(), mul_qt_qtqt(), normalize_v3(), quat_to_mat3(), saacos(), si, sin(), and sqrt().

Referenced by BKE_ptcache_make_particle_key(), calc_curve_deform(), followpath_get_tarmat(), make_bevel_list_3D_minimum_twist(), make_bevel_list_3D_zup(), make_bevel_list_segment_3D(), makeBevelList(), ob_parcurve(), psys_get_birth_coordinates(), ptcache_particle_interpolate(), ptcache_particle_read(), Vector_to_track_quat(), and vertex_dupli__mapFunc().

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