nngn::Math Class Reference

#include <math.h>

Classes
struct	rnd_generator_t

Public Types
using	rand_seed_t = std::decay_t< >

Public Member Functions
auto *	rnd_generator (void)
void	init (void)
void	seed_rand (rand_seed_t s)
void	rand_mat (std::span< float > m)

Static Public Member Functions
template<typename T = double>
static constexpr T	sq2_2 (void)
template<typename T = double>
static constexpr T	sq2 (void)
template<typename T = double>
static constexpr T	e (void)
template<typename T = double>
static constexpr T	pi (void)
template<typename T = double>
static constexpr T	tau (void)
template<typename T = double>
static constexpr T	radians (T d)
template<typename T = double>
static constexpr T	degrees (T r)
template<typename T >
static constexpr T	round_down_pow2 (T n, T d)
template<typename T >
static constexpr T	round_up_pow2 (T n, T d)
template<typename T >
static constexpr T	round_down (T n, T d)
template<typename T >
static constexpr T	round_up (T n, T d)
template<typename T >
static constexpr T	round_up_div (T n, T d)
template<unsigned_integral T>
static constexpr T	mip_levels (T extent)
template<typename T >
static constexpr auto	dot (T u, T v)
template<typename T >
static constexpr auto	length2 (T v)
template<typename T >
static auto	length (T v)
template<typename T >
static T	normalize (T v)
template<template< typename > typename V, typename T > requires vector<V, T>
static V< T >	clamp_len (V< T > v, T len)
template<typename T >
static constexpr vector_type< T >	sum (T v)
template<typename T >
static constexpr vector_type< T >	product (T v)
template<typename T >
static constexpr vector_type< T >	avg (T v)
template<typename T >
static constexpr vec3_base< T >	cross (vec3_base< T > u, vec3_base< T > v)
template<typename T >
static constexpr T	angle (vec2_base< T > u, vec2_base< T > v)
template<typename T >
static constexpr T	angle (vec3_base< T > u, vec3_base< T > v, vec3_base< T > n)
template<typename T >
static constexpr vec3_base< T >	reflect (vec3_base< T > v, vec3_base< T > n)
template<typename T >
static constexpr vec3_base< T >	normal (vec3_base< T > p0, vec3_base< T > p1, vec3_base< T > p2)
static void	mat_mul (std::span< float > dst, const float *src0, const float *src1, std::size_t n)
template<typename T >
static vec3_base< T >	perspective_transform (const mat4_base< T > &m, vec3_base< T > v)
template<typename T >
static constexpr vec3_base< T >	diag (const mat3_base< T > &m, std::size_t i)
template<typename T >
static constexpr vec3_base< T >	inv_diag (const mat3_base< T > &m, std::size_t i)
template<typename T >
static constexpr mat3_base< T >	minor_matrix (const mat4_base< T > &m, std::size_t i, std::size_t j)
template<typename T >
static constexpr T	minor (const mat4_base< T > &m, std::size_t i, std::size_t j)
template<typename T >
static constexpr T	determinant (const mat3_base< T > &m)
template<typename T >
static constexpr T	determinant (const mat4_base< T > &m)
template<typename T >
static constexpr T	cofactor (const mat4_base< T > &m, std::size_t i, std::size_t j)
template<typename T >
static constexpr mat4_base< T >	adjugate (const mat4_base< T > &m)
template<typename T >
static constexpr mat4_base< T >	inverse (const mat4_base< T > &m)
template<typename T >
static constexpr mat3_base< T >	transpose (const mat3_base< T > &m)
template<typename T >
static constexpr mat4_base< T >	transpose (const mat4_base< T > &m)
template<typename T >
static constexpr mat4_base< T >	translate (const mat4_base< T > &m, vec3_base< T > v)
template<typename T >
static constexpr mat4_base< T >	scale (const mat4_base< T > &m, vec3_base< T > v)
template<typename T >
static constexpr vec2_base< T >	rotate (vec2_base< T > v, T sin, T cos)
template<typename T >
static constexpr vec2_base< T >	rotate (vec2_base< T > v, T angle)
template<typename T >
static constexpr vec3_base< T >	rotate (vec3_base< T > v, T sin, T cos, vec3_base< T > n)
template<typename T >
static constexpr vec3_base< T >	rotate (vec3_base< T > v, T angle, vec3_base< T > n)
template<typename T >
static constexpr vec3_base< T >	rotate_x (vec3_base< T > v, T sin, T cos)
template<typename T >
static constexpr vec3_base< T >	rotate_y (vec3_base< T > v, T sin, T cos)
template<typename T >
static constexpr vec3_base< T >	rotate_z (vec3_base< T > v, T sin, T cos)
template<typename T >
static constexpr vec3_base< T >	rotate_x (vec3_base< T > v, T angle)
template<typename T >
static constexpr vec3_base< T >	rotate_y (vec3_base< T > v, T angle)
template<typename T >
static constexpr vec3_base< T >	rotate_z (vec3_base< T > v, T angle)
template<typename T >
static constexpr mat4_base< T >	rotate (const mat4_base< T > &m, T angle, vec3_base< T > v)
template<typename T >
static constexpr mat4_base< T >	ortho (T left, T right, T bottom, T top)
template<typename T >
static constexpr mat4_base< T >	ortho (T left, T right, T bottom, T top, T near, T far)
template<typename T >
static constexpr mat4_base< T >	perspective (T fovy, T aspect, T near, T far)
template<typename T >
static constexpr mat4_base< T >	look_at (vec3_base< T > eye, vec3_base< T > center, vec3_base< T > up)
static void	gaussian_filter (std::size_t size, float std_dev, std::span< float > s)
static void	gaussian_filter (std::size_t xsize, std::size_t ysize, float std_dev, std::span< float > s)
static bool	is_aligned (void *p, std::size_t a)
static void *	align_ptr (void *p, std::size_t a)
template<typename T >
static T *	align_ptr (void *p)

Private Attributes
std::optional< rnd_generator_t >	m_rnd_generator = {}

Member Typedef Documentation

rand_seed_t

using nngn::Math::rand_seed_t = std::decay_t< >

Member Function Documentation

adjugate()

template<typename T >

mat4_base< T > nngn::Math::adjugate ( const mat4_base< T > & m )

inlinestaticconstexpr

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align_ptr() [1/2]

template<typename T >

T * nngn::Math::align_ptr ( void * p )

static

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align_ptr() [2/2]

void * nngn::Math::align_ptr ( void * p, std::size_t a )

inlinestatic

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angle() [1/2]

template<typename T >

T nngn::Math::angle ( vec2_base< T > u, vec2_base< T > v )

inlinestaticconstexpr

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angle() [2/2]

template<typename T >

T nngn::Math::angle ( vec3_base< T > u, vec3_base< T > v, vec3_base< T > n )

inlinestaticconstexpr

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avg()

template<typename T >

vector_type< T > nngn::Math::avg ( T v )

inlinestaticconstexpr

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clamp_len()

template<template< typename > typename V, typename T >
requires vector<V, T>

V< T > nngn::Math::clamp_len ( V< T > v, T len )

inlinestatic

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cofactor()

template<typename T >

static constexpr T nngn::Math::cofactor ( const mat4_base< T > & m, std::size_t i, std::size_t j )

staticconstexpr

cross()

template<typename T >

vec3_base< T > nngn::Math::cross ( vec3_base< T > u, vec3_base< T > v )

inlinestaticconstexpr

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degrees()

template<typename T >

T nngn::Math::degrees ( T r )

inlinestaticconstexpr

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determinant() [1/2]

template<typename T >

T nngn::Math::determinant ( const mat3_base< T > & m )

inlinestaticconstexpr

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determinant() [2/2]

template<typename T >

T nngn::Math::determinant ( const mat4_base< T > & m )

inlinestaticconstexpr

diag()

template<typename T >

vec3_base< T > nngn::Math::diag ( const mat3_base< T > & m, std::size_t i )

inlinestaticconstexpr

dot()

template<typename T >

auto nngn::Math::dot ( T u, T v )

inlinestaticconstexpr

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e()

template<typename T >

T nngn::Math::e ( void )

inlinestaticconstexpr

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gaussian_filter() [1/2]

void nngn::Math::gaussian_filter ( std::size_t size, float std_dev, std::span< float > s )

static

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gaussian_filter() [2/2]

void nngn::Math::gaussian_filter ( std::size_t xsize, std::size_t ysize, float std_dev, std::span< float > s )

static

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init()

void nngn::Math::init

(

void

)

inv_diag()

template<typename T >

vec3_base< T > nngn::Math::inv_diag ( const mat3_base< T > & m, std::size_t i )

inlinestaticconstexpr

inverse()

template<typename T >

mat4_base< T > nngn::Math::inverse ( const mat4_base< T > & m )

inlinestaticconstexpr

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is_aligned()

bool nngn::Math::is_aligned ( void * p, std::size_t a )

inlinestatic

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length()

template<typename T >

auto nngn::Math::length ( T v )

inlinestatic

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length2()

template<typename T >

auto nngn::Math::length2 ( T v )

inlinestaticconstexpr

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look_at()

template<typename T >

mat4_base< T > nngn::Math::look_at ( vec3_base< T > eye, vec3_base< T > center, vec3_base< T > up )

inlinestaticconstexpr

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mat_mul()

void nngn::Math::mat_mul ( std::span< float > dst, const float * src0, const float * src1, std::size_t n )

static

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minor()

template<typename T >

T nngn::Math::minor ( const mat4_base< T > & m, std::size_t i, std::size_t j )

inlinestaticconstexpr

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minor_matrix()

template<typename T >

mat3_base< T > nngn::Math::minor_matrix ( const mat4_base< T > & m, std::size_t i, std::size_t j )

inlinestaticconstexpr

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mip_levels()

template<unsigned_integral T>

T nngn::Math::mip_levels ( T extent )

staticconstexpr

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normal()

template<typename T >

vec3_base< T > nngn::Math::normal ( vec3_base< T > p0, vec3_base< T > p1, vec3_base< T > p2 )

inlinestaticconstexpr

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normalize()

template<typename T >

T nngn::Math::normalize ( T v )

inlinestatic

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ortho() [1/2]

template<typename T >

mat4_base< T > nngn::Math::ortho ( T left, T right, T bottom, T top )

inlinestaticconstexpr

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ortho() [2/2]

template<typename T >

mat4_base< T > nngn::Math::ortho ( T left, T right, T bottom, T top, T near, T far )

inlinestaticconstexpr

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perspective()

template<typename T >

mat4_base< T > nngn::Math::perspective ( T fovy, T aspect, T near, T far )

inlinestaticconstexpr

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perspective_transform()

template<typename T >

vec3_base< T > nngn::Math::perspective_transform ( const mat4_base< T > & m, vec3_base< T > v )

inlinestatic

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pi()

template<typename T >

T nngn::Math::pi ( void )

inlinestaticconstexpr

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product()

template<typename T >

vector_type< T > nngn::Math::product ( T v )

inlinestaticconstexpr

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radians()

template<typename T >

T nngn::Math::radians ( T d )

inlinestaticconstexpr

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rand_mat()

void nngn::Math::rand_mat

(

std::span< float >

m

)

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reflect()

template<typename T >

vec3_base< T > nngn::Math::reflect ( vec3_base< T > v, vec3_base< T > n )

inlinestaticconstexpr

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rnd_generator()

auto * nngn::Math::rnd_generator ( void )

inline

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rotate() [1/5]

template<typename T >

mat4_base< T > nngn::Math::rotate ( const mat4_base< T > & m, T angle, vec3_base< T > v )

inlinestaticconstexpr

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rotate() [2/5]

template<typename T >

vec2_base< T > nngn::Math::rotate ( vec2_base< T > v, T angle )

inlinestaticconstexpr

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rotate() [3/5]

template<typename T >

vec2_base< T > nngn::Math::rotate ( vec2_base< T > v, T sin, T cos )

inlinestaticconstexpr

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rotate() [4/5]

template<typename T >

vec3_base< T > nngn::Math::rotate ( vec3_base< T > v, T angle, vec3_base< T > n )

inlinestaticconstexpr

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rotate() [5/5]

template<typename T >

vec3_base< T > nngn::Math::rotate ( vec3_base< T > v, T sin, T cos, vec3_base< T > n )

inlinestaticconstexpr

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rotate_x() [1/2]

template<typename T >

vec3_base< T > nngn::Math::rotate_x ( vec3_base< T > v, T angle )

inlinestaticconstexpr

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rotate_x() [2/2]

template<typename T >

vec3_base< T > nngn::Math::rotate_x ( vec3_base< T > v, T sin, T cos )

inlinestaticconstexpr

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rotate_y() [1/2]

template<typename T >

vec3_base< T > nngn::Math::rotate_y ( vec3_base< T > v, T angle )

inlinestaticconstexpr

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rotate_y() [2/2]

template<typename T >

vec3_base< T > nngn::Math::rotate_y ( vec3_base< T > v, T sin, T cos )

inlinestaticconstexpr

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rotate_z() [1/2]

template<typename T >

vec3_base< T > nngn::Math::rotate_z ( vec3_base< T > v, T angle )

inlinestaticconstexpr

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rotate_z() [2/2]

template<typename T >

vec3_base< T > nngn::Math::rotate_z ( vec3_base< T > v, T sin, T cos )

inlinestaticconstexpr

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round_down()

template<typename T >

T nngn::Math::round_down ( T n, T d )

staticconstexpr

round_down_pow2()

template<typename T >

T nngn::Math::round_down_pow2 ( T n, T d )

staticconstexpr

round_up()

template<typename T >

T nngn::Math::round_up ( T n, T d )

staticconstexpr

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round_up_div()

template<typename T >

T nngn::Math::round_up_div ( T n, T d )

staticconstexpr

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round_up_pow2()

template<typename T >

T nngn::Math::round_up_pow2 ( T n, T d )

staticconstexpr

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scale()

template<typename T >

mat4_base< T > nngn::Math::scale ( const mat4_base< T > & m, vec3_base< T > v )

inlinestaticconstexpr

seed_rand()

void nngn::Math::seed_rand

(

rand_seed_t

s

)

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sq2()

template<typename T >

T nngn::Math::sq2 ( void )

inlinestaticconstexpr

sq2_2()

template<typename T >

T nngn::Math::sq2_2 ( void )

inlinestaticconstexpr

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sum()

template<typename T >

vector_type< T > nngn::Math::sum ( T v )

inlinestaticconstexpr

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tau()

template<typename T >

T nngn::Math::tau ( void )

inlinestaticconstexpr

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translate()

template<typename T >

mat4_base< T > nngn::Math::translate ( const mat4_base< T > & m, vec3_base< T > v )

inlinestaticconstexpr

transpose() [1/2]

template<typename T >

mat3_base< T > nngn::Math::transpose ( const mat3_base< T > & m )

inlinestaticconstexpr

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transpose() [2/2]

template<typename T >

mat4_base< T > nngn::Math::transpose ( const mat4_base< T > & m )

inlinestaticconstexpr

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Member Data Documentation

m_rnd_generator

std::optional<rnd_generator_t> nngn::Math::m_rnd_generator = {}

private

---

The documentation for this class was generated from the following files:

• src/math/math.h
• src/math/math.cpp