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...

class	gradient

struct	gradient_point

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	gradient_interpolation_mode_t { linear , constant }

enum class	volume_query { inside = 0 , outside , intersect }

enum class	plane_query { front = 0 , back , on , spanning }

Functions
template<>
auto	gradient_lerp (const vec4 &start, const vec4 &end, float progress) -> vec4

template<>
auto	gradient_lerp (const vec3 &start, const vec3 &end, float progress) -> vec3

template<>
auto	gradient_lerp (const vec2 &start, const vec2 &end, float progress) -> vec2

template<>
auto	gradient_lerp (const float &start, const float &end, float progress) -> float

template<>
auto	gradient_lerp (const color &start, const color &end, float progress) -> color

auto	to_string (gradient_interpolation_mode_t mode) -> std::string

auto	interpolation_mode_from_string (const std::string &mode) -> gradient_interpolation_mode_t

template<typename T >
auto	gradient_lerp (const T &start, const T &end, float progress) -> T

template<typename T >
auto	operator< (const gradient_point< T > &lhs, const gradient_point< T > &rhs) noexcept -> bool

template<typename T >
auto	operator== (const gradient_point< T > &lhs, const gradient_point< T > &rhs) noexcept -> bool

static std::vector< float >	log_space (std::size_t start, std::size_t end, std::size_t count)

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)

void	taa_subpixel_offset_progressive (std::uint32_t frame, float &offset_x, float &offset_y, float temporal_phase_scale=1.0f)
	2D subpixel jitter in [-0.5, 0.5] for temporal AA (Kronecker / golden-ratio sequence).

void	taa_subpixel_offset_halton (std::uint32_t frame, float &offset_x, float &offset_y, float temporal_phase_scale=1.0f)

void	taa_subpixel_offset_r2 (std::uint32_t frame, float &offset_x, float &offset_y, float temporal_phase_scale=1.0f)

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

template<>
auto	gradient_lerp (const frange_t &start, const frange_t &end, float progress) -> frange_t

Typedef Documentation

◆ transform

using math::transform = transform_t<float>

Definition at line 1510 of file transform.hpp.

Enumeration Type Documentation

◆ gradient_interpolation_mode_t

enum class math::gradient_interpolation_mode_t

strong

Enumerator
linear
constant

Definition at line 21 of file gradient.h.

◆ 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 227 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 164 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.

◆ gradient_lerp() [1/7]

template<>

auto math::gradient_lerp	(	const color &	start,
		const color &	end,
		float	progress ) -> color

Definition at line 33 of file gradient.cpp.

◆ gradient_lerp() [2/7]

template<>

auto math::gradient_lerp	(	const float &	start,
		const float &	end,
		float	progress ) -> float

Definition at line 27 of file gradient.cpp.

◆ gradient_lerp() [3/7]

template<>

auto math::gradient_lerp	(	const frange_t &	start,
		const frange_t &	end,
		float	progress ) -> frange_t

Definition at line 11 of file particle_emitter_component.cpp.

◆ gradient_lerp() [4/7]

template<typename T >

auto math::gradient_lerp	(	const T &	start,
		const T &	end,
		float	progress ) -> T

◆ gradient_lerp() [5/7]

template<>

auto math::gradient_lerp	(	const vec2 &	start,
		const vec2 &	end,
		float	progress ) -> vec2

Definition at line 20 of file gradient.cpp.

◆ gradient_lerp() [6/7]

template<>

auto math::gradient_lerp	(	const vec3 &	start,
		const vec3 &	end,
		float	progress ) -> vec3

Definition at line 14 of file gradient.cpp.

◆ gradient_lerp() [7/7]

template<>

auto math::gradient_lerp	(	const vec4 &	start,
		const vec4 &	end,
		float	progress ) -> vec4

Definition at line 8 of file gradient.cpp.

◆ halton()

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

inline

Definition at line 260 of file math.h.

◆ interpolation_mode_from_string()

auto math::interpolation_mode_from_string ( const std::string & mode ) -> gradient_interpolation_mode_t

Definition at line 50 of file gradient.cpp.

◆ 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 143 of file math.h.

◆ log_space()

static std::vector< float > math::log_space	(	std::size_t	start,
		std::size_t	end,
		std::size_t	count )

inlinestatic

Definition at line 18 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 275 of file plane.h.

◆ operator<()

template<typename T >

auto math::operator<	(	const gradient_point< T > &	lhs,
		const gradient_point< T > &	rhs ) -> bool

inlinenoexcept

Definition at line 35 of file gradient.h.

◆ operator==()

template<typename T >

auto math::operator==	(	const gradient_point< T > &	lhs,
		const gradient_point< T > &	rhs ) -> bool

inlinenoexcept

Definition at line 41 of file gradient.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 348 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 154 of file math.h.

◆ taa_subpixel_offset_halton()

void math::taa_subpixel_offset_halton	(	std::uint32_t	frame,
		float &	offset_x,
		float &	offset_y,
		float	temporal_phase_scale = 1.0f )

inline

Halton(2), Halton(3) mapped to [-0.5, 0.5]. Uses frame + 1 so the first frame is non-degenerate.

Definition at line 309 of file math.h.

◆ taa_subpixel_offset_progressive()

void math::taa_subpixel_offset_progressive	(	std::uint32_t	frame,
		float &	offset_x,
		float &	offset_y,
		float	temporal_phase_scale = 1.0f )

inline

2D subpixel jitter in [-0.5, 0.5] for temporal AA (Kronecker / golden-ratio sequence).

Successive integer frame values advance by incommensurable steps on the unit torus, so offsets fill the pixel progressively without the large consecutive jumps of Halton(i,2)/(i,3) and without a hard period-N reset from frame % N (which causes a periodic reprojection spike).

Parameters

temporal_phase_scale Multiplies the frame index inside the sequence (default 1). Values below 1 (e.g. 0.35–0.5) walk the torus more slowly so consecutive frames sit closer on the pixel, which helps TAA history track and reduces visible whole-frame shake; coverage still fills over time.

Definition at line 285 of file math.h.

◆ taa_subpixel_offset_r2()

void math::taa_subpixel_offset_r2	(	std::uint32_t	frame,
		float &	offset_x,
		float &	offset_y,
		float	temporal_phase_scale = 1.0f )

inline

R2 / recurrence-based low-discrepancy pair in [-0.5, 0.5].

Definition at line 324 of file math.h.

◆ to_string() [1/2]

template<typename T >

TRANSFORM_INLINE auto math::to_string ( const T & v ) -> std::string

Definition at line 1515 of file transform.hpp.

◆ to_string() [2/2]

auto math::to_string ( gradient_interpolation_mode_t mode ) -> std::string

Definition at line 37 of file gradient.cpp.

◆ 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.

Namespaces

Classes

Typedefs

Enumerations

Functions

Typedef Documentation

◆ transform

Enumeration Type Documentation

◆ gradient_interpolation_mode_t

◆ plane_query

◆ volume_query

Function Documentation

◆ compute_projected_sphere_rect()

◆ compute_projected_sphere_shaft()

◆ glm_decompose()

◆ glm_recompose()

◆ gradient_lerp() [1/7]

◆ gradient_lerp() [2/7]

◆ gradient_lerp() [3/7]

◆ gradient_lerp() [4/7]

◆ gradient_lerp() [5/7]

◆ gradient_lerp() [6/7]

◆ gradient_lerp() [7/7]

◆ halton()

◆ interpolation_mode_from_string()

◆ inverse()

◆ is_negative_float()

◆ log_space()

◆ operator*()

◆ operator<()

◆ operator==()

◆ power_of_n_round_down()

◆ recompose_impl()

◆ square()

◆ taa_subpixel_offset_halton()

◆ taa_subpixel_offset_progressive()

◆ taa_subpixel_offset_r2()

◆ to_string() [1/2]

◆ to_string() [2/2]

◆ transpose()