math Namespace Reference

Namespaces
namespace	detail
namespace	volume_geometry_point
namespace	volume_plane

Classes
class	bbox
	Storage for box vector values and wraps up common functionality. More...
class	bsphere
	Provides storage for common representation of spherical bounding volume, and wraps up common functionality. More...
struct	color
class	frustum
	Storage for frustum planes / values and wraps up common functionality. More...
struct	plane
	Storage for infinite plane. More...
class	transform_t
	General purpose transformation class designed to maintain each component of the transformation separate (translation, rotation, scale and shear) whilst providing much of the same functionality provided by standard matrices. More...

Typedefs
using	transform = transform_t<float>

Enumerations
enum class	volume_query { inside = 0 , outside , intersect }
enum class	plane_query { front = 0 , back , on , spanning }

Functions
bool	is_negative_float (const float &A)
template<typename T >
T	square (const T &t)
bool	compute_projected_sphere_shaft (float light_x, float light_z, float radius, const glm::mat4 &proj, const glm::vec3 &axis, float axis_sign, std::int32_t &in_out_min_x, std::int32_t &in_out_max_x)
std::uint32_t	compute_projected_sphere_rect (std::int32_t &left, std::int32_t &right, std::int32_t &top, std::int32_t &bottom, const glm::vec3 &sphere_center, float radius, const glm::vec3 &view_origin, const glm::mat4 &view, const glm::mat4 &proj)
float	halton (std::uint32_t Index, std::uint32_t Base)
std::uint32_t	power_of_n_round_down (std::uint32_t val, std::uint32_t n)
template<typename T , qualifier Q>
GLM_FUNC_QUALIFIER mat< 4, 4, T, Q >	recompose_impl (vec< 3, T, Q > const &scale, qua< T, Q > const &orientation, vec< 3, T, Q > const &translation, vec< 3, T, Q > const &skew, vec< 4, T, Q > const &perspective)
template<typename T , qualifier Q>
GLM_FUNC_QUALIFIER void	glm_recompose (mat< 4, 4, T, Q > &model_matrix, vec< 3, T, Q > const &in_scale, qua< T, Q > const &in_orientation, vec< 3, T, Q > const &in_translation, vec< 3, T, Q > const &in_skew, vec< 4, T, Q > const &in_perspective)
template<typename T , qualifier Q>
GLM_FUNC_QUALIFIER bool	glm_decompose (mat< 4, 4, T, Q > const &ModelMatrix, vec< 3, T, Q > &Scale, qua< T, Q > &Orientation, vec< 3, T, Q > &Translation, vec< 3, T, Q > &Skew, vec< 4, T, Q > &Perspective)
auto	operator* (float s, const plane &p) -> plane
	Scalar multiplication for a plane.
template<typename T , precision Q>
auto	inverse (transform_t< T, Q > const &t) noexcept -> transform_t< T, Q >
template<typename T , precision Q>
auto	transpose (transform_t< T, Q > const &t) noexcept -> transform_t< T, Q >
template<typename T >
TRANSFORM_INLINE auto	to_string (const T &v) -> std::string

Typedef Documentation

transform

using math::transform = transform_t<float>

Definition at line 1510 of file transform.hpp.

Enumeration Type Documentation

plane_query

enum class math::plane_query

strong

Enumerator
front
back
on
spanning

Definition at line 19 of file math_types.h.

volume_query

enum class math::volume_query

strong

Enumerator
inside
outside
intersect

Definition at line 12 of file math_types.h.

Function Documentation

compute_projected_sphere_rect()

std::uint32_t math::compute_projected_sphere_rect ( std::int32_t & left, std::int32_t & right, std::int32_t & top, std::int32_t & bottom, const glm::vec3 & sphere_center, float radius, const glm::vec3 & view_origin, const glm::mat4 & view, const glm::mat4 & proj )

inline

Definition at line 223 of file math.h.

compute_projected_sphere_shaft()

bool math::compute_projected_sphere_shaft ( float light_x, float light_z, float radius, const glm::mat4 & proj, const glm::vec3 & axis, float axis_sign, std::int32_t & in_out_min_x, std::int32_t & in_out_max_x )

inline

Compute the screen bounds of a point light along one axis. Based on http://www.gamasutra.com/features/20021011/lengyel_06.htm and http://sourceforge.net/mailarchive/message.php?msg_id=10501105

Definition at line 160 of file math.h.

glm_decompose()

template<typename T , qualifier Q>

GLM_FUNC_QUALIFIER bool math::glm_decompose	(	mat< 4, 4, T, Q > const &	ModelMatrix,
		vec< 3, T, Q > &	Scale,
		qua< T, Q > &	Orientation,
		vec< 3, T, Q > &	Translation,
		vec< 3, T, Q > &	Skew,
		vec< 4, T, Q > &	Perspective )

IMPORTANT!!! Do not return here. Instaed use the modified length_impl function to handle zero lenght scales

Definition at line 130 of file matrix_recompose.hpp.

glm_recompose()

template<typename T , qualifier Q>

GLM_FUNC_QUALIFIER void math::glm_recompose	(	mat< 4, 4, T, Q > &	model_matrix,
		vec< 3, T, Q > const &	in_scale,
		qua< T, Q > const &	in_orientation,
		vec< 3, T, Q > const &	in_translation,
		vec< 3, T, Q > const &	in_skew,
		vec< 4, T, Q > const &	in_perspective )

Definition at line 116 of file matrix_recompose.hpp.

halton()

float math::halton ( std::uint32_t Index, std::uint32_t Base )

inline

Definition at line 256 of file math.h.

inverse()

template<typename T , precision Q>

auto math::inverse ( transform_t< T, Q > const & t ) -> transform_t<T, Q>

noexcept

Definition at line 729 of file transform.hpp.

is_negative_float()

bool math::is_negative_float ( const float & A )

inline

Compute the screen bounds of a point light along one axis. Based on http://www.gamasutra.com/features/20021011/lengyel_06.htm and http://sourceforge.net/mailarchive/message.php?msg_id=10501105

Definition at line 139 of file math.h.

operator*()

auto math::operator* ( float s, const plane & p ) -> plane

inline

Scalar multiplication for a plane.

Multiplies each component of the plane by a scalar value.

Parameters

s	Scalar value to multiply by.
p	The plane to be multiplied.

Returns

A new plane with each component multiplied by the scalar value.

Definition at line 255 of file plane.h.

power_of_n_round_down()

std::uint32_t math::power_of_n_round_down ( std::uint32_t val, std::uint32_t n )

inline

Definition at line 270 of file math.h.

recompose_impl()

template<typename T , qualifier Q>

GLM_FUNC_QUALIFIER mat< 4, 4, T, Q > math::recompose_impl	(	vec< 3, T, Q > const &	scale,
		qua< T, Q > const &	orientation,
		vec< 3, T, Q > const &	translation,
		vec< 3, T, Q > const &	skew,
		vec< 4, T, Q > const &	perspective )

Definition at line 73 of file matrix_recompose.hpp.

square()

template<typename T >

T math::square ( const T & t )

inline

Definition at line 150 of file math.h.

to_string()

template<typename T >

TRANSFORM_INLINE auto math::to_string

(

const T &

v

)

-> std::string

Definition at line 1515 of file transform.hpp.

transpose()

template<typename T , precision Q>

auto math::transpose ( transform_t< T, Q > const & t ) -> transform_t<T, Q>

noexcept

Definition at line 736 of file transform.hpp.