#include "util/defines.h"
#include "util/types_base.h"
#include <cfloat>
#include <cmath>

Classes
struct	Interval< T >
struct	Extrema< T >

Macros
#define	M_PI_F (3.1415926535897932f) /* `pi` */
#define	M_PI_2_F (1.5707963267948966f) /* `pi/2` */
#define	M_PI_4_F (0.7853981633974830f) /* `pi/4` */
#define	M_1_PI_F (0.3183098861837067f) /* `1/pi` */
#define	M_2_PI_F (0.6366197723675813f) /* `2/pi` */
#define	M_1_2PI_F (0.1591549430918953f) /* `1/(2pi)` /
#define	M_1_4PI_F (0.0795774715459476f) /* `1/(4pi)` /
#define	M_SQRT_PI_8_F (0.6266570686577501f) /* `sqrt(pi/8)` */
#define	M_LN_2PI_F (1.8378770664093454f) /* `ln(2pi)` /
#define	M_2PI_F (6.2831853071795864f) /* `2pi` /
#define	M_4PI_F (12.566370614359172f) /* `4pi` /
#define	M_PI_4F 0.78539816339744830962f /* `pi/4` */
#define	M_SQRT2_F (1.4142135623730950f) /* `sqrt(2)` */
#define	M_CBRT2_F 1.2599210498948732f /* `cbrt(2)` */
#define	M_SQRT1_2F 0.70710678118654752440f /* `sqrt(1/2)` */
#define	M_SQRT3_F (1.7320508075688772f) /* `sqrt(3)` */
#define	M_LN2_F (0.6931471805599453f) /* `ln(2)` */
#define	M_LN10_F (2.3025850929940457f) /* `ln(10)` */
#define	__has_builtin(v)

Functions
ccl_device_inline int	abs (const int x)
ccl_device_inline int	max (const int a, const int b)
ccl_device_inline int	min (const int a, const int b)
ccl_device_inline uint32_t	max (const uint32_t a, const uint32_t b)
ccl_device_inline uint32_t	min (const uint32_t a, const uint32_t b)
ccl_device_inline uint64_t	max (const uint64_t a, const uint64_t b)
ccl_device_inline uint64_t	min (const uint64_t a, const uint64_t b)
template<class T>
ccl_device_inline std::enable_if_t< std::is_same_v< T, size_t >, T >	max (T a, T b)
template<class T>
ccl_device_inline std::enable_if_t< std::is_same_v< T, size_t >, T >	min (T a, T b)
ccl_device_inline float	max (const float a, const float b)
ccl_device_inline float	min (const float a, const float b)
ccl_device_inline double	max (const double a, const double b)
ccl_device_inline double	min (const double a, const double b)
template<typename T>
ccl_device_inline T	min4 (const T &a, const T &b, const T &c, const T &d)
template<typename T>
ccl_device_inline T	max4 (const T &a, const T &b, const T &c, const T &d)
ccl_device_inline float	min4 (const float a, const float b, float c, const float d)
ccl_device_inline float	max4 (const float a, const float b, float c, const float d)
template<typename T>
ccl_device_inline T	make_zero ()
ccl_device_template_spec float	make_zero ()
ccl_device_inline int	as_int (const uint i)
ccl_device_inline uint	as_uint (const int i)
ccl_device_inline uint	as_uint (const float f)
ccl_device_inline int	__float_as_int (const float f)
ccl_device_inline float	__int_as_float (const int i)
ccl_device_inline uint	__float_as_uint (const float f)
ccl_device_inline float	__uint_as_float (const uint i)
template<typename T>
ccl_device_inline uint	pointer_pack_to_uint_0 (T *ptr)
template<typename T>
ccl_device_inline uint	pointer_pack_to_uint_1 (T *ptr)
template<typename T>
ccl_device_inline T *	pointer_unpack_from_uint (const uint a, const uint b)
ccl_device_inline uint	uint16_pack_to_uint (const uint a, const uint b)
ccl_device_inline uint	uint16_unpack_from_uint_0 (const uint i)
ccl_device_inline uint	uint16_unpack_from_uint_1 (const uint i)
ccl_device_inline bool	isnan_safe (const float f)
ccl_device_inline bool	isfinite_safe (const float f)
ccl_device_inline float	ensure_finite (const float v)
ccl_device_inline int	clamp (const int a, const int mn, const int mx)
ccl_device_inline float	clamp (const float a, const float mn, const float mx)
ccl_device_inline float	mix (const float a, const float b, float t)
ccl_device_inline float	smoothstep (const float edge0, const float edge1, const float x)
ccl_device_inline float	saturatef (const float a)
ccl_device_inline int	float_to_int (const float f)
ccl_device_inline int	floor_to_int (const float f)
ccl_device_inline float	floorfrac (const float x, ccl_private int *i)
ccl_device_inline int	ceil_to_int (const float f)
ccl_device_inline float	fractf (const float x)
ccl_device_inline float	wrapf (const float value, const float max, const float min)
ccl_device_inline float	pingpongf (const float a, const float b)
ccl_device_inline float	smoothminf (const float a, const float b, float k)
ccl_device_inline float	signf (const float f)
ccl_device_inline float	nonzerof (const float f, const float eps)
ccl_device_inline float	compatible_atan2 (const float y, const float x)
ccl_device_inline float	compatible_signf (const float f)
ccl_device_inline float	smoothstepf (const float f)
ccl_device_inline int	mod (const int x, const int m)
ccl_device_inline float	interp (const float a, const float b, const float t)
ccl_device_inline float	inverse_lerp (const float a, const float b, const float x)
ccl_device_inline float	cubic_interp (const float a, const float b, float c, const float d, float x)
ccl_device_inline float	safe_sqrtf (const float f)
ccl_device_inline float	inversesqrtf (const float f)
ccl_device float	safe_asinf (const float a)
ccl_device float	safe_acosf (const float a)
ccl_device float	compatible_powf (const float x, const float y)
ccl_device float	safe_powf (const float a, const float b)
ccl_device float	safe_divide (const float a, const float b)
ccl_device float	safe_logf (const float a, const float b)
ccl_device float	safe_modulo (const float a, const float b)
ccl_device float	safe_floored_modulo (const float a, const float b)
ccl_device_inline float	sqr (const float a)
ccl_device_inline float	sin_from_cos (const float c)
ccl_device_inline float	cos_from_sin (const float s)
ccl_device_inline float	sin_sqr_to_one_minus_cos (const float s_sq)
ccl_device_inline float	one_minus_cos (const float angle)
ccl_device_inline int	power_of_2 (const int a)
ccl_device_inline float	pow20 (const float a)
ccl_device_inline float	pow22 (const float a)
ccl_device_inline float	beta (const float x, const float y)
ccl_device_inline float	xor_mask (const float x, const uint y)
ccl_device_inline float	or_mask (const float x, const uint y)
ccl_device float	bits_to_01 (const uint bits)
ccl_device_inline uint	popcount (const uint x)
ccl_device_inline uint	count_leading_zeros (const uint x)
ccl_device_inline uint	count_trailing_zeros (const uint x)
ccl_device_inline uint	find_first_set (const uint x)
ccl_device_inline bool	compare_floats (const float a, const float b, float abs_diff, const int ulp_diff)
ccl_device_inline uint	next_power_of_two (const uint x)
ccl_device_inline uint	prev_power_of_two (const uint x)
ccl_device_inline uint32_t	reverse_integer_bits (uint32_t x)
ccl_device_inline bool	solve_quadratic (const float a, const float b, const float c, ccl_private float &x1, ccl_private float &x2)
template<typename T1, typename T2>
ccl_device_inline Interval< T1 >	operator/= (ccl_private Interval< T1 > &interval, const T2 f)
template<typename T>
ccl_device_inline Interval< T >	intervals_intersection (const ccl_private Interval< T > &first, const ccl_private Interval< T > &second)
template<typename T>
ccl_device_inline Extrema< T >	operator* (const Extrema< T > a, const T b)
template<typename T>
ccl_device_inline Extrema< T >	operator+ (const ccl_private Extrema< T > &a, const ccl_private Extrema< T > &b)
template<typename T>
ccl_device_inline Extrema< T >	operator+= (ccl_private Extrema< T > &a, const ccl_private Extrema< T > &b)
template<typename T>
ccl_device_inline Extrema< T >	merge (const ccl_private Extrema< T > &a, const ccl_private Extrema< T > &b)
template<typename T>
ccl_device_inline Extrema< T >	merge (const ccl_private Extrema< T > &a, const ccl_private T &v)

Macro Definition Documentation

◆ __has_builtin

#define __has_builtin ( v )

Value:

0

Definition at line 798 of file device/cpu/globals.h.

◆ M_1_2PI_F

#define M_1_2PI_F (0.1591549430918953f) /* `1/(2*pi)` */

Definition at line 45 of file device/cpu/globals.h.

◆ M_1_4PI_F

#define M_1_4PI_F (0.0795774715459476f) /* `1/(4*pi)` */

Definition at line 48 of file device/cpu/globals.h.

◆ M_1_PI_F

#define M_1_PI_F (0.3183098861837067f) /* `1/pi` */

Definition at line 39 of file device/cpu/globals.h.

◆ M_2_PI_F

#define M_2_PI_F (0.6366197723675813f) /* `2/pi` */

Definition at line 42 of file device/cpu/globals.h.

◆ M_2PI_F

#define M_2PI_F (6.2831853071795864f) /* `2*pi` */

Definition at line 59 of file device/cpu/globals.h.

◆ M_4PI_F

#define M_4PI_F (12.566370614359172f) /* `4*pi` */

Definition at line 62 of file device/cpu/globals.h.

◆ M_CBRT2_F

#define M_CBRT2_F 1.2599210498948732f /* `cbrt(2)` */

Definition at line 73 of file device/cpu/globals.h.

◆ M_LN10_F

#define M_LN10_F (2.3025850929940457f) /* `ln(10)` */

Definition at line 85 of file device/cpu/globals.h.

◆ M_LN2_F

#define M_LN2_F (0.6931471805599453f) /* `ln(2)` */

Definition at line 82 of file device/cpu/globals.h.

◆ M_LN_2PI_F

#define M_LN_2PI_F (1.8378770664093454f) /* `ln(2*pi)` */

Definition at line 54 of file device/cpu/globals.h.

◆ M_PI_2_F

#define M_PI_2_F (1.5707963267948966f) /* `pi/2` */

Definition at line 33 of file device/cpu/globals.h.

◆ M_PI_4_F

#define M_PI_4_F (0.7853981633974830f) /* `pi/4` */

Definition at line 36 of file device/cpu/globals.h.

◆ M_PI_4F

#define M_PI_4F 0.78539816339744830962f /* `pi/4` */

Definition at line 65 of file device/cpu/globals.h.

◆ M_PI_F

#define M_PI_F (3.1415926535897932f) /* `pi` */

Definition at line 30 of file device/cpu/globals.h.

◆ M_SQRT1_2F

#define M_SQRT1_2F 0.70710678118654752440f /* `sqrt(1/2)` */

Definition at line 76 of file device/cpu/globals.h.

◆ M_SQRT2_F

#define M_SQRT2_F (1.4142135623730950f) /* `sqrt(2)` */

Definition at line 70 of file device/cpu/globals.h.

◆ M_SQRT3_F

#define M_SQRT3_F (1.7320508075688772f) /* `sqrt(3)` */

Definition at line 79 of file device/cpu/globals.h.

◆ M_SQRT_PI_8_F

#define M_SQRT_PI_8_F (0.6266570686577501f) /* `sqrt(pi/8)` */

Definition at line 51 of file device/cpu/globals.h.

Function Documentation

◆ __float_as_int()

ccl_device_inline int __float_as_int ( const float f )

Definition at line 257 of file math_base.h.

References ccl_device_inline, and i.

◆ __float_as_uint()

ccl_device_inline uint __float_as_uint ( const float f )

Definition at line 277 of file math_base.h.

References ccl_device_inline, and i.

◆ __int_as_float()

ccl_device_inline float __int_as_float ( const int i )

Definition at line 267 of file math_base.h.

References ccl_device_inline, and i.

◆ __uint_as_float()

ccl_device_inline float __uint_as_float ( const uint i )

Definition at line 287 of file math_base.h.

References ccl_device_inline, and i.

◆ abs()

ccl_device_inline int abs ( const int x )

Definition at line 115 of file math_base.h.

References ccl_device_inline, and x.

◆ as_int()

ccl_device_inline int as_int ( const uint i )

Definition at line 226 of file math_base.h.

References ccl_device_inline, and i.

Referenced by ANIM_channel_debug_print_info(), and BM_mesh_intersect_edges().

◆ as_uint() [1/2]

ccl_device_inline uint as_uint ( const float f )

Definition at line 246 of file math_base.h.

References ccl_device_inline, and i.

◆ as_uint() [2/2]

ccl_device_inline uint as_uint ( const int i )

Definition at line 236 of file math_base.h.

References ccl_device_inline, and i.

Referenced by emit_attribute_map_entry().

◆ beta()

ccl_device_inline float beta	(	const float	x,
		const float	y )

Definition at line 661 of file math_base.h.

References ccl_device_inline, expf, lgammaf, x, and y.

Referenced by Freestyle::OGF::NormalCycle::accumulate_dihedral_angle(), blender::ed::sculpt_paint::filter::calc_surface_smooth_filter(), Eigen::internal::constrained_conjugate_gradient(), blender::bke::mesh::corner_fan_space_define(), blender::bke::mesh::corner_space_custom_data_to_normal(), blender::bke::mesh::corner_space_custom_normal_to_data(), cubic_subdiv(), dBoxBox2(), dLineClosestApproach(), KDL::Frame::Frame(), KDL::Rotation::GetEulerZYZ(), Freestyle::SilhouetteGeomEngine::ImageToWorldParameter(), KDL::LinComb(), KDL::LinComb(), KDL::LinComb(), KDL::LinCombR(), KDL::LinCombR(), KDL::LinCombR(), libmv::Dogleg< Function, Jacobian, Solver >::minimize(), mnee_newton_solver(), blender::geometry::p_abf_matrix_invert(), posrandom(), random(), rotateDifferentialCoordinates(), btConjugateGradient< MatrixX >::solve(), btConjugateResidual< MatrixX >::solve(), btDeformableBodySolver::solveDeformableConstraints(), libmv::Dogleg< Function, Jacobian, Solver >::SolveDoglegDirection(), solveSingleIteration(), blender::ed::sculpt_paint::smooth::surface_smooth_displace_step(), volume_preservation(), and volume_preservation().

◆ bits_to_01()

ccl_device float bits_to_01 ( const uint bits )

Definition at line 676 of file math_base.h.

References ccl_device, and float.

◆ ceil_to_int()

ccl_device_inline int ceil_to_int ( const float f )

Definition at line 424 of file math_base.h.

References ccl_device_inline, ceilf, and float_to_int().

Referenced by RenderScheduler::calculate_resolution_divider_for_time().

◆ clamp() [1/2]

ccl_device_inline float clamp	(	const float	a,
		const float	mn,
		const float	mx )

Definition at line 367 of file math_base.h.

References ccl_device_inline, max, and min.

◆ clamp() [2/2]

ccl_device_inline int clamp	(	const int	a,
		const int	mn,
		const int	mx )

Definition at line 362 of file math_base.h.

References ccl_device_inline, max, and min.

Referenced by safe_acosf(), safe_asinf(), and saturatef().

◆ compare_floats()

ccl_device_inline bool compare_floats	(	const float	a,
		const float	b,
		float	abs_diff,
		const int	ulp_diff )

Definition at line 769 of file math_base.h.

References __float_as_int, abs, b, ccl_device_inline, and fabsf.

◆ compatible_atan2()

ccl_device_inline float compatible_atan2	(	const float	y,
		const float	x )

Definition at line 471 of file math_base.h.

References atan2f, ccl_device_inline, x, and y.

Referenced by svm_math().

◆ compatible_powf()

ccl_device float compatible_powf	(	const float	x,
		const float	y )

Definition at line 548 of file math_base.h.

References ccl_device, fmodf, powf, x, and y.

Referenced by safe_powf().

◆ compatible_signf()

ccl_device_inline float compatible_signf ( const float f )

Definition at line 477 of file math_base.h.

References ccl_device_inline, and signf().

◆ cos_from_sin()

ccl_device_inline float cos_from_sin ( const float s )

Definition at line 614 of file math_base.h.

References ccl_device_inline, safe_sqrtf(), and sqr.

Referenced by bsdf_hair_chiang_albedo(), bsdf_hair_chiang_eval(), bsdf_hair_chiang_sample(), bsdf_hair_huang_albedo(), bsdf_hair_huang_sample(), hair_alpha_angles(), point_light_tree_parameters(), and spot_light_tree_parameters().

◆ count_leading_zeros()

ccl_device_inline uint count_leading_zeros ( const uint x )

Definition at line 707 of file math_base.h.

References assert, ccl_device_inline, and x.

Referenced by find_first_set(), hash_shuffle_uint(), next_power_of_two(), prev_power_of_two(), and sobol_burley().

◆ count_trailing_zeros()

ccl_device_inline uint count_trailing_zeros ( const uint x )

Definition at line 727 of file math_base.h.

References assert, ccl_device_inline, and x.

◆ cubic_interp()

ccl_device_inline float cubic_interp	(	const float	a,
		const float	b,
		float	c,
		const float	d,
		float	x )

Definition at line 513 of file math_base.h.

References b, ccl_device_inline, and x.

Referenced by interpolate_ies_vertical(), and kernel_ies_interp().

◆ ensure_finite()

ccl_device_inline float ensure_finite ( const float v )

Definition at line 356 of file math_base.h.

References ccl_device_inline, isfinite_safe(), and v.

Referenced by film_clamp_light(), kernel_background_evaluate(), kernel_displace_evaluate(), and read_shader_output().

◆ find_first_set()

ccl_device_inline uint find_first_set ( const uint x )

Definition at line 747 of file math_base.h.

References ccl_device_inline, count_leading_zeros(), and x.

◆ float_to_int()

ccl_device_inline int float_to_int ( const float f )

Definition at line 407 of file math_base.h.

References ccl_device_inline.

Referenced by background_map_pdf(), ceil_to_int(), fast_rint(), float_ramp_lookup(), float_ramp_lookup(), floor_to_int(), floorfrac(), CCL_NAMESPACE_BEGIN::frac(), frac(), lookup_table_read(), lookup_table_read_2D(), lookup_table_read_3D(), noise_fbm(), noise_fbm(), noise_fbm(), noise_fbm(), noise_hetero_terrain(), noise_hetero_terrain(), noise_hetero_terrain(), noise_hetero_terrain(), noise_hybrid_multi_fractal(), noise_hybrid_multi_fractal(), noise_hybrid_multi_fractal(), noise_hybrid_multi_fractal(), noise_multi_fractal(), noise_multi_fractal(), noise_multi_fractal(), noise_multi_fractal(), noise_ridged_multi_fractal(), noise_ridged_multi_fractal(), noise_ridged_multi_fractal(), noise_ridged_multi_fractal(), rgb_ramp_lookup(), rgb_ramp_lookup(), safe_powf(), svm_checker(), svm_math_wavelength_color_xyz(), and svm_node_convert().

◆ floor_to_int()

ccl_device_inline int floor_to_int ( const float f )

Definition at line 412 of file math_base.h.

References ccl_device_inline, float_to_int(), and floorf.

Referenced by HdCyclesDelegate::GetRenderStats(), and svm_brick().

◆ floorfrac()

ccl_device_inline float floorfrac	(	const float	x,
		ccl_private int *	i )

Definition at line 417 of file math_base.h.

References ccl_device_inline, ccl_private, float_to_int(), floorf, i, and x.

Referenced by perlin_1d(), perlin_2d(), perlin_3d(), and perlin_4d().

◆ fractf()

ccl_device_inline float fractf ( const float x )

Definition at line 429 of file math_base.h.

References ccl_device_inline, floorf, and x.

◆ interp()

ccl_device_inline float interp	(	const float	a,
		const float	b,
		const float	t )

Definition at line 502 of file math_base.h.

References b, and ccl_device_inline.

Referenced by as_data(), as_data(), as_data(), as_data(), camera_sample_perspective(), ClipSegmentToLine(), CurvesNode::constant_fold(), InvertNode::constant_fold(), CustomData_data_transfer(), data_transfer_layersmapping_add_item(), data_transfer_layersmapping_add_item_cd(), LinearQuadPatch::eval(), film_apply_pass_pixel_overlays_rgba(), SkyTextureNode::get_sun_average_radiance(), blender::io::usd::import_mesh_skel_bindings(), CCL_NAMESPACE_BEGIN::kernel_tex_image_interp_3d(), SubPatch::map_uv(), meshcache_read_mdd_range(), meshcache_read_pc2_range(), MOD_meshcache_calc_range(), MOD_meshcache_read_mdd_frame(), MOD_meshcache_read_mdd_times(), MOD_meshcache_read_pc2_frame(), MOD_meshcache_read_pc2_times(), paint_sample_color(), blender::draw::particle_key_weight(), project_paint_PickColor(), SubdAttributeInterpolation::setup_attribute_corner_linear(), SubdAttributeInterpolation::setup_attribute_vertex_linear(), SKY_arhosekskymodel_radiance(), svm_math_wavelength_color_xyz(), svm_mix_add(), svm_mix_blend(), svm_mix_color(), svm_mix_dark(), svm_mix_diff(), svm_mix_exclusion(), svm_mix_hue(), svm_mix_light(), svm_mix_mul(), svm_mix_sub(), blender::gpu::to_string(), to_string(), and blender::gpu::to_string_msl().

◆ intervals_intersection()

template<typename T>

ccl_device_inline Interval< T > intervals_intersection	(	const ccl_private Interval< T > &	first,
		const ccl_private Interval< T > &	second )

Definition at line 901 of file math_base.h.

References ccl_device_inline, ccl_private, max, and min.

Referenced by bsdf_hair_huang_eval(), ray_cone_intersect(), and ray_infinite_cylinder_intersect().

◆ inverse_lerp()

ccl_device_inline float inverse_lerp	(	const float	a,
		const float	b,
		const float	x )

Definition at line 507 of file math_base.h.

References b, ccl_device_inline, and x.

Referenced by background_map_sample(), bsdf_microfacet_setup_fresnel_generalized_schlick(), direction_to_central_cylindrical(), interpolate_fresnel_color(), kernel_ies_interp(), and microfacet_fresnel().

◆ inversesqrtf()

ccl_device_inline float inversesqrtf ( const float f )

Definition at line 529 of file math_base.h.

References ccl_device_inline, and sqrtf.

Referenced by bsdf_lambda_from_sqr_alpha_tan_n(), compute_v(), LightManager::device_update_lights(), microfacet_ggx_sample_vndf(), ray_cone_intersect(), sphg_dir(), svm_math(), and LightTreeMeasure::transform().

◆ isfinite_safe()

ccl_device_inline bool isfinite_safe ( const float f )

◆ isnan_safe()

ccl_device_inline bool isnan_safe ( const float f )

Definition at line 342 of file math_base.h.

References __float_as_uint, ccl_device_inline, and x.

Referenced by bsdf_hair_huang_eval(), and fresnel_dielectric_polarized().

◆ make_zero() [1/2]

ccl_device_template_spec float make_zero ( )

Definition at line 218 of file math_base.h.

References ccl_device_template_spec.

◆ make_zero() [2/2]

template<typename T>

ccl_device_template_spec dual4 make_zero ( )

Definition at line 17 of file math_dual.h.

References ccl_device_template_spec.

Referenced by attribute_data_fetch_bytecolor(), primitive_surface_attribute(), and triangle_attribute().

◆ max() [1/6]

ccl_device_inline double max	(	const double	a,
		const double	b )

Definition at line 179 of file math_base.h.

References b, and ccl_device_inline.

◆ max() [2/6]

ccl_device_inline float max	(	const float	a,
		const float	b )

Definition at line 169 of file math_base.h.

References b, and ccl_device_inline.

◆ max() [3/6]

ccl_device_inline int max	(	const int	a,
		const int	b )

Definition at line 120 of file math_base.h.

References b, and ccl_device_inline.

◆ max() [4/6]

ccl_device_inline uint32_t max	(	const uint32_t	a,
		const uint32_t	b )

Definition at line 130 of file math_base.h.

References b, and ccl_device_inline.

◆ max() [5/6]

ccl_device_inline uint64_t max	(	const uint64_t	a,
		const uint64_t	b )

Definition at line 140 of file math_base.h.

References b, and ccl_device_inline.

◆ max() [6/6]

template<class T>

ccl_device_inline std::enable_if_t< std::is_same_v< T, size_t >, T > max	(	T	a,
		T	b )

constexpr

Definition at line 158 of file math_base.h.

References b, ccl_device_inline, and T.

◆ max4() [1/2]

ccl_device_inline float max4	(	const float	a,
		const float	b,
		float	c,
		const float	d )

Definition at line 211 of file math_base.h.

References b, ccl_device_inline, and max.

◆ max4() [2/2]

template<typename T>

ccl_device_inline T max4	(	const T &	a,
		const T &	b,
		const T &	c,
		const T &	d )

Definition at line 200 of file math_base.h.

References b, ccl_device_inline, max, and T.

Referenced by bvh_aligned_node_intersect(), and bvh_unaligned_node_intersect_child().

◆ merge() [1/2]

template<typename T>

ccl_device_inline Extrema< T > merge	(	const ccl_private Extrema< T > &	a,
		const ccl_private Extrema< T > &	b )

Definition at line 941 of file math_base.h.

References b, ccl_device_inline, ccl_private, max, and min.

◆ merge() [2/2]

template<typename T>

ccl_device_inline Extrema< T > merge	(	const ccl_private Extrema< T > &	a,
		const ccl_private T &	v )

Definition at line 948 of file math_base.h.

References ccl_device_inline, ccl_private, max, min, T, and v.

◆ min() [1/6]

ccl_device_inline double min	(	const double	a,
		const double	b )

Definition at line 184 of file math_base.h.

References b, and ccl_device_inline.

◆ min() [2/6]

ccl_device_inline float min	(	const float	a,
		const float	b )

Definition at line 174 of file math_base.h.

References b, and ccl_device_inline.

◆ min() [3/6]

ccl_device_inline int min	(	const int	a,
		const int	b )

Definition at line 125 of file math_base.h.

References b, and ccl_device_inline.

◆ min() [4/6]

ccl_device_inline uint32_t min	(	const uint32_t	a,
		const uint32_t	b )

Definition at line 135 of file math_base.h.

References b, and ccl_device_inline.

◆ min() [5/6]

ccl_device_inline uint64_t min	(	const uint64_t	a,
		const uint64_t	b )

Definition at line 145 of file math_base.h.

References b, and ccl_device_inline.

◆ min() [6/6]

template<class T>

ccl_device_inline std::enable_if_t< std::is_same_v< T, size_t >, T > min	(	T	a,
		T	b )

constexpr

Definition at line 164 of file math_base.h.

References b, ccl_device_inline, and T.

◆ min4() [1/2]

ccl_device_inline float min4	(	const float	a,
		const float	b,
		float	c,
		const float	d )

Definition at line 206 of file math_base.h.

References b, ccl_device_inline, and min.

◆ min4() [2/2]

template<typename T>

ccl_device_inline T min4	(	const T &	a,
		const T &	b,
		const T &	c,
		const T &	d )

Definition at line 195 of file math_base.h.

References b, ccl_device_inline, min, and T.

Referenced by bvh_aligned_node_intersect(), and bvh_unaligned_node_intersect_child().

◆ mix()

ccl_device_inline float mix	(	const float	a,
		const float	b,
		float	t )

Definition at line 372 of file math_base.h.

References b, and ccl_device_inline.

◆ mod()

ccl_device_inline int mod	(	const int	x,
		const int	m )

Definition at line 497 of file math_base.h.

References ccl_device_inline, and x.

◆ next_power_of_two()

ccl_device_inline uint next_power_of_two ( const uint x )

Definition at line 786 of file math_base.h.

References ccl_device_inline, count_leading_zeros(), and x.

Referenced by Integrator::device_update(), PathTrace::render_pipeline(), round_num_samples_to_power_of_2(), round_up_to_power_of_two(), and TEST().

◆ nonzerof()

ccl_device_inline float nonzerof	(	const float	f,
		const float	eps )

Definition at line 460 of file math_base.h.

References ccl_device_inline, eps, fabsf, and signf().

◆ one_minus_cos()

ccl_device_inline float one_minus_cos ( const float angle )

Definition at line 625 of file math_base.h.

References angle(), ccl_device_inline, cosf, and sqr.

Referenced by background_sun_sample(), bsdf_diffuse_toon_eval(), bsdf_diffuse_toon_sample(), bsdf_glossy_toon_eval(), bsdf_glossy_toon_sample(), pdf_uniform_cone(), and point_light_sample().

◆ operator*()

template<typename T>

ccl_device_inline Extrema< T > operator*	(	const Extrema< T >	a,
		const T	b )

Definition at line 921 of file math_base.h.

References b, ccl_device_inline, Extrema< T >::max, Extrema< T >::min, and T.

◆ operator+()

template<typename T>

ccl_device_inline Extrema< T > operator+	(	const ccl_private Extrema< T > &	a,
		const ccl_private Extrema< T > &	b )

Definition at line 927 of file math_base.h.

References b, ccl_device_inline, and ccl_private.

◆ operator+=()

template<typename T>

ccl_device_inline Extrema< T > operator+=	(	ccl_private Extrema< T > &	a,
		const ccl_private Extrema< T > &	b )

Definition at line 934 of file math_base.h.

References b, ccl_device_inline, and ccl_private.

◆ operator/=()

template<typename T1, typename T2>

ccl_device_inline Interval< T1 > operator/=	(	ccl_private Interval< T1 > &	interval,
		const T2	f )

Definition at line 892 of file math_base.h.

References ccl_device_inline, ccl_private, Interval< T >::min, and T2.

◆ or_mask()

ccl_device_inline float or_mask	(	const float	x,
		const uint	y )

Definition at line 671 of file math_base.h.

References __float_as_uint, __uint_as_float, ccl_device_inline, x, and y.

Referenced by rgbe_to_rgb().

◆ pingpongf()

ccl_device_inline float pingpongf	(	const float	a,
		const float	b )

Definition at line 441 of file math_base.h.

References b, ccl_device_inline, fabsf, and fractf.

◆ pointer_pack_to_uint_0()

template<typename T>

ccl_device_inline uint pointer_pack_to_uint_0 ( T * ptr )

Definition at line 311 of file math_base.h.

References ccl_device_inline, ptr, and T.

Referenced by scene_intersect(), and scene_intersect_shadow().

◆ pointer_pack_to_uint_1()

template<typename T>

ccl_device_inline uint pointer_pack_to_uint_1 ( T * ptr )

Definition at line 316 of file math_base.h.

References ccl_device_inline, ptr, and T.

Referenced by scene_intersect(), and scene_intersect_shadow().

◆ pointer_unpack_from_uint()

template<typename T>

ccl_device_inline T * pointer_unpack_from_uint	(	const uint	a,
		const uint	b )

Definition at line 321 of file math_base.h.

References b, ccl_device_inline, and T.

Referenced by get_payload_ptr_0(), and get_payload_ptr_2().

◆ popcount()

ccl_device_inline uint popcount ( const uint x )

Definition at line 688 of file math_base.h.

References ccl_device_inline, i, and x.

Referenced by gpu_parallel_active_index_array_impl(), light_tree_cluster_select_emitter(), and sample_is_class_A().

◆ pow20()

ccl_device_inline float pow20 ( const float a )

Definition at line 637 of file math_base.h.

References ccl_device_inline, and sqr.

◆ pow22()

ccl_device_inline float pow22 ( const float a )

Definition at line 642 of file math_base.h.

References ccl_device_inline, and sqr.

◆ power_of_2()

ccl_device_inline int power_of_2 ( const int a )

Definition at line 632 of file math_base.h.

References ccl_device_inline.

◆ prev_power_of_two()

ccl_device_inline uint prev_power_of_two ( const uint x )

Definition at line 792 of file math_base.h.

References ccl_device_inline, count_leading_zeros(), and x.

Referenced by round_down_to_power_of_two(), and TEST().

◆ reverse_integer_bits()

ccl_device_inline uint32_t reverse_integer_bits ( uint32_t x )

Definition at line 802 of file math_base.h.

References ccl_device_inline, and x.

Referenced by Integrator::device_update(), nested_uniform_scramble(), nested_uniform_scramble_base4(), sobol_burley(), sobol_burley_sample_1D(), sobol_burley_sample_2D(), sobol_burley_sample_3D(), sobol_burley_sample_4D(), and TEST().

◆ safe_acosf()

ccl_device float safe_acosf ( const float a )

Definition at line 543 of file math_base.h.

References acosf, ccl_device, CLAMP, clamp(), and MINLINE.

Referenced by angle_normalized_qt(), angle_signed_normalized_qt(), attr_create_pointiness(), basic_rotate(), bm_mesh_calc_uvs_sphere_face(), boid_body(), bsdf_diffuse_toon_eval(), bsdf_glossy_toon_eval(), bsdf_oren_nayar_G(), cache_key_incremental_rotation(), calc_bevel_sin_cos(), direction_to_fisheye_equisolid(), direction_to_fisheye_lens_polynomial(), direction_to_spherical(), do_guides(), dvar_eval_rotDiff(), effector_falloff(), fisheye_to_direction(), map_to_sphere(), mat3_to_quat_legacy(), merge(), modify_mesh(), pow_qt_fl_normalized(), blender::ed::curves::primitive_random_sphere(), proj_paint_state_cavity_init(), psys_thread_create_path(), Quaternion_angle_get(), quaternion_to_angles(), sky_angle_between(), svm_math(), svm_node_ies(), tri_to_quat_ex(), triangle_light_sample(), blender::nodes::try_dispatch_float_math_fl_to_fl(), vec_to_quat(), and Vector_angle().

◆ safe_asinf()

ccl_device float safe_asinf ( const float a )

Definition at line 538 of file math_base.h.

References asinf, ccl_device, CLAMP, clamp(), and MINLINE.

Referenced by angle_normalized_v2v2(), angle_normalized_v3v3(), area_light_rect_sample(), bsdf_hair_chiang_eval(), bsdf_hair_chiang_sample(), bsdf_hair_reflection_sample(), quaternion_to_angles(), spherical_stereo_transform(), svm_math(), and blender::nodes::try_dispatch_float_math_fl_to_fl().

◆ safe_divide()

ccl_device float safe_divide	(	const float	a,
		const float	b )

Definition at line 580 of file math_base.h.

References b, ccl_device, and MINLINE.

Referenced by area_light_rect_sample(), bsdf_eval_pass_diffuse_weight(), bsdf_eval_pass_glossy_weight(), bsdf_hair_huang_albedo(), bsdf_microfacet_eval(), bsdf_microfacet_sample(), blender::nodes::node_shader_map_range_cc::build_float_linear(), blender::nodes::node_shader_map_range_cc::build_float_stepped(), BVHObjectBinning::BVHObjectBinning(), BVHSpatialSplit::BVHSpatialSplit(), d_gamma_d_h(), fisheye_to_direction(), fractal_voronoi_x_fx(), fresnel_conductor_polarized(), geometry_collide_offset(), gizmo_calc_rect_view_scale(), gizmo_spot_blend_prop_matrix_set(), hair_attenuation(), light_tree_emitter_importance(), light_tree_node_importance(), pdf_exponential_distribution(), relaxation_iteration_uv(), safe_logf(), blender::nodes::node_shader_map_range_cc::sh_node_map_range_build_multi_function(), smootherstep(), svm_mapping(), svm_math(), svm_node_vector_map_range(), svm_vector_math(), transform_decompose(), trimmed_logistic(), blender::nodes::try_dispatch_float_math_fl3_fl3_to_fl3(), blender::nodes::try_dispatch_float_math_fl_fl_to_fl(), blender::ed::view3d::geometry_nodes_gizmos::LinearGizmo::update_transform(), blender::ed::view3d::geometry_nodes_gizmos::TransformGizmos::update_translate_transform_and_target_property(), and vfont_to_curve().

◆ safe_floored_modulo()

ccl_device float safe_floored_modulo	(	const float	a,
		const float	b )

Definition at line 599 of file math_base.h.

References b, ccl_device, and floorf.

◆ safe_logf()

ccl_device float safe_logf	(	const float	a,
		const float	b )

Definition at line 585 of file math_base.h.

References b, ccl_device, logf, MINLINE, safe_divide(), safe_divide(), and UNLIKELY.

Referenced by svm_math(), TEST(), and blender::nodes::try_dispatch_float_math_fl_fl_to_fl().

◆ safe_modulo()

ccl_device float safe_modulo	(	const float	a,
		const float	b )

Definition at line 594 of file math_base.h.

References b, ccl_device, and fmodf.

◆ safe_powf()

ccl_device float safe_powf	(	const float	a,
		const float	b )

Definition at line 571 of file math_base.h.

References b, ccl_device, compatible_powf(), float_to_int(), MINLINE, powf, and UNLIKELY.

Referenced by safe_pow(), svm_math(), TEST(), blender::nodes::try_dispatch_float_math_fl3_fl3_to_fl3(), and blender::nodes::try_dispatch_float_math_fl_fl_to_fl().

◆ safe_sqrtf()

ccl_device_inline float safe_sqrtf ( const float f )

Definition at line 524 of file math_base.h.

References ccl_device_inline, max, and sqrtf.

Referenced by cos_from_sin(), sin_from_cos(), sin_sqr_to_one_minus_cos(), and solve_quadratic().

◆ saturatef()

ccl_device_inline float saturatef ( const float a )

Definition at line 401 of file math_base.h.

References ccl_device_inline, and clamp().

◆ signf()

ccl_device_inline float signf ( const float f )

◆ sin_from_cos()

ccl_device_inline float sin_from_cos ( const float c )

Definition at line 609 of file math_base.h.

References ccl_device_inline, safe_sqrtf(), and sqr.

Referenced by bsdf_hair_chiang_sample(), bsdf_oren_nayar_G(), light_tree_importance(), microfacet_beckmann_sample_vndf(), mnee_compute_transfer_matrix(), sample_uniform_sphere(), spherical_cos_to_direction(), and triangle_light_sample().

◆ sin_sqr_to_one_minus_cos()

ccl_device_inline float sin_sqr_to_one_minus_cos ( const float s_sq )

Definition at line 619 of file math_base.h.

References ccl_device_inline, and safe_sqrtf().

Referenced by point_light_sample(), sphere_light_pdf(), spot_light_pdf(), and spot_light_sample().

◆ smoothminf()

ccl_device_inline float smoothminf	(	const float	a,
		const float	b,
		float	k )

Definition at line 446 of file math_base.h.

References b, ccl_device_inline, fabsf, fmaxf, and fminf.

◆ smoothstep()

ccl_device_inline float smoothstep	(	const float	edge0,
		const float	edge1,
		const float	x )

Definition at line 377 of file math_base.h.

References ccl_device_inline, result, and x.

◆ smoothstepf()

ccl_device_inline float smoothstepf ( const float f )

Definition at line 485 of file math_base.h.

References ccl_device_inline.

Referenced by spot_light_attenuation(), spot_light_tree_parameters(), and svm_brick().

◆ solve_quadratic()

ccl_device_inline bool solve_quadratic	(	const float	a,
		const float	b,
		const float	c,
		ccl_private float &	x1,
		ccl_private float &	x2 )

Definition at line 842 of file math_base.h.

References b, ccl_device_inline, ccl_private, copysignf, fmaxf, fminf, safe_sqrtf(), and sqr.

Referenced by ray_cone_intersect(), and ray_infinite_cylinder_intersect().

◆ sqr()

ccl_device_inline float sqr ( const float a )

Definition at line 604 of file math_base.h.

References ccl_device_inline.

◆ uint16_pack_to_uint()

ccl_device_inline uint uint16_pack_to_uint	(	const uint	a,
		const uint	b )

Definition at line 326 of file math_base.h.

References b, and ccl_device_inline.

Referenced by __anyhit__kernel_optix_shadow_all_hit().

◆ uint16_unpack_from_uint_0()

ccl_device_inline uint uint16_unpack_from_uint_0 ( const uint i )

Definition at line 331 of file math_base.h.

References ccl_device_inline, and i.

Referenced by __anyhit__kernel_optix_shadow_all_hit().

◆ uint16_unpack_from_uint_1()

ccl_device_inline uint uint16_unpack_from_uint_1 ( const uint i )

Definition at line 336 of file math_base.h.

References ccl_device_inline, and i.

Referenced by __anyhit__kernel_optix_shadow_all_hit().

◆ wrapf()

ccl_device_inline float wrapf	(	const float	value,
		const float	max,
		const float	min )

Definition at line 435 of file math_base.h.

References ccl_device_inline, floorf, max, and min.

◆ xor_mask()

ccl_device_inline float xor_mask	(	const float	x,
		const uint	y )

Definition at line 666 of file math_base.h.

References __float_as_uint, __uint_as_float, ccl_device_inline, x, and y.

Classes

Macros

Functions

Macro Definition Documentation

◆ __has_builtin

◆ M_1_2PI_F

◆ M_1_4PI_F

◆ M_1_PI_F

◆ M_2_PI_F

◆ M_2PI_F

◆ M_4PI_F

◆ M_CBRT2_F

◆ M_LN10_F

◆ M_LN2_F

◆ M_LN_2PI_F

◆ M_PI_2_F

◆ M_PI_4_F

◆ M_PI_4F

◆ M_PI_F

◆ M_SQRT1_2F

◆ M_SQRT2_F

◆ M_SQRT3_F

◆ M_SQRT_PI_8_F

Function Documentation

◆ __float_as_int()

◆ __float_as_uint()

◆ __int_as_float()

◆ __uint_as_float()

◆ abs()

◆ as_int()

◆ as_uint() [1/2]

◆ as_uint() [2/2]

◆ beta()

◆ bits_to_01()

◆ ceil_to_int()

◆ clamp() [1/2]

◆ clamp() [2/2]

◆ compare_floats()

◆ compatible_atan2()

◆ compatible_powf()

◆ compatible_signf()

◆ cos_from_sin()

◆ count_leading_zeros()

◆ count_trailing_zeros()

◆ cubic_interp()

◆ ensure_finite()

◆ find_first_set()

◆ float_to_int()

◆ floor_to_int()

◆ floorfrac()

◆ fractf()

◆ interp()

◆ intervals_intersection()

◆ inverse_lerp()

◆ inversesqrtf()

◆ isfinite_safe()

◆ isnan_safe()

◆ make_zero() [1/2]

◆ make_zero() [2/2]

◆ max() [1/6]

◆ max() [2/6]

◆ max() [3/6]

◆ max() [4/6]

◆ max() [5/6]

◆ max() [6/6]

◆ max4() [1/2]

◆ max4() [2/2]

◆ merge() [1/2]

◆ merge() [2/2]

◆ min() [1/6]

◆ min() [2/6]

◆ min() [3/6]

◆ min() [4/6]

◆ min() [5/6]

◆ min() [6/6]

◆ min4() [1/2]

◆ min4() [2/2]

◆ mix()

◆ mod()

◆ next_power_of_two()