BLI_math_basis_types.hh File Reference

#include <iosfwd>
#include "BLI_math_base.hh"
#include "BLI_math_vector_types.hh"

Go to the source code of this file.

Classes
class	blender::math::Axis
class	blender::math::AxisSigned
struct	blender::math::CartesianBasis

Namespaces
namespace	blender
namespace	blender::math

Functions
Axes
constexpr bool	blender::math::operator<= (const Axis::Value a, const Axis::Value b)
constexpr bool	blender::math::operator<= (const AxisSigned::Value a, const AxisSigned::Value b)
Axes Utilities
template<>
AxisSigned	blender::math::abs (const AxisSigned &axis)
int	blender::math::sign (const AxisSigned &axis)
AxisSigned	blender::math::cross (const AxisSigned a, const AxisSigned b)
template<typename T >
T	blender::math::to_vector (const Axis axis)
template<typename T >
T	blender::math::to_vector (const AxisSigned axis)
CartesianBasis
CartesianBasis	blender::math::from_orthonormal_axes (const AxisSigned forward, const AxisSigned up)
CartesianBasis	blender::math::rotation_between (const CartesianBasis &a, const CartesianBasis &b)
CartesianBasis	blender::math::rotation_between (const AxisSigned a_forward, const AxisSigned b_forward)
template<typename T >
VecBase< T, 3 >	blender::math::transform_point (const CartesianBasis &basis, const VecBase< T, 3 > &v)
CartesianBasis	blender::math::invert (const CartesianBasis &basis)

Detailed Description

Orthonormal rotation and orientation.

A practical reminder:

• Forward is typically the positive Y direction in Blender.
• Up is typically the positive Z direction in Blender.
• Right is typically the positive X direction in Blender.
• Blender uses right handedness.
• For cross product, forward = thumb, up = index, right = middle finger.

The basis changes for each space:

• Object: X-right, Y-forward, Z-up
• World: X-right, Y-forward, Z-up
• Armature Bone: X-right, Y-forward, Z-up (with forward being the root to tip direction)
• Curve Tangent-Space: X-left, Y-up, Z-forward

Definition in file BLI_math_basis_types.hh.