util_math.h File Reference

#include <float.h>
#include <math.h>
#include <stdio.h>
#include "util_types.h"

Go to the source code of this file.

Defines
#define	_USE_MATH_DEFINES
#define	M_PI_F   ((float)3.14159265358979323846264338327950288)
#define	M_PI_2_F   ((float)1.57079632679489661923132169163975144)
#define	M_PI_4_F   ((float)0.785398163397448309615660845819875721)
#define	M_1_PI_F   ((float)0.318309886183790671537767526745028724)
#define	M_2_PI_F   ((float)0.636619772367581343075535053490057448)
Functions
__device_inline int	max (int a, int b)
__device_inline int	min (int a, int b)
__device_inline float	max (float a, float b)
__device_inline float	min (float a, float b)
__device_inline double	max (double a, double b)
__device_inline double	min (double a, double b)
__device_inline float	min4 (float a, float b, float c, float d)
__device_inline float	max4 (float a, float b, float c, float d)
__device_inline int	clamp (int a, int mn, int mx)
__device_inline float	clamp (float a, float mn, float mx)
__device_inline float	signf (float f)
__device_inline float	nonzerof (float f, float eps)
__device_inline bool	is_zero (const float2 a)
__device_inline float	average (const float2 a)
__device_inline float2	operator- (const float2 a)
__device_inline float2	operator* (const float2 a, const float2 b)
__device_inline float2	operator* (const float2 a, float f)
__device_inline float2	operator* (float f, const float2 a)
__device_inline float2	operator/ (float f, const float2 a)
__device_inline float2	operator/ (const float2 a, float f)
__device_inline float2	operator/ (const float2 a, const float2 b)
__device_inline float2	operator+ (const float2 a, const float2 b)
__device_inline float2	operator- (const float2 a, const float2 b)
__device_inline float2	operator+= (float2 &a, const float2 b)
__device_inline float2	operator*= (float2 &a, const float2 b)
__device_inline float2	operator*= (float2 &a, float f)
__device_inline float2	operator/= (float2 &a, const float2 b)
__device_inline float2	operator/= (float2 &a, float f)
__device_inline float	dot (const float2 a, const float2 b)
__device_inline float	cross (const float2 a, const float2 b)
__device_inline float	len (const float2 a)
__device_inline float2	normalize (const float2 a)
__device_inline float2	normalize_len (const float2 a, float *t)
__device_inline bool	operator== (const float2 a, const float2 b)
__device_inline bool	operator!= (const float2 a, const float2 b)
__device_inline float2	min (float2 a, float2 b)
__device_inline float2	max (float2 a, float2 b)
__device_inline float2	clamp (float2 a, float2 mn, float2 mx)
__device_inline float2	fabs (float2 a)
__device_inline float2	as_float2 (const float4 a)
__device_inline void	print_float2 (const char *label, const float2 &a)
__device_inline float2	interp (float2 a, float2 b, float t)
__device_inline bool	is_zero (const float3 a)
__device_inline float	average (const float3 a)
__device_inline float3	operator- (const float3 a)
__device_inline float3	operator* (const float3 a, const float3 b)
__device_inline float3	operator* (const float3 a, float f)
__device_inline float3	operator* (float f, const float3 a)
__device_inline float3	operator/ (float f, const float3 a)
__device_inline float3	operator/ (const float3 a, float f)
__device_inline float3	operator/ (const float3 a, const float3 b)
__device_inline float3	operator+ (const float3 a, const float3 b)
__device_inline float3	operator- (const float3 a, const float3 b)
__device_inline float3	operator+= (float3 &a, const float3 b)
__device_inline float3	operator*= (float3 &a, const float3 b)
__device_inline float3	operator*= (float3 &a, float f)
__device_inline float3	operator/= (float3 &a, const float3 b)
__device_inline float3	operator/= (float3 &a, float f)
__device_inline float	dot (const float3 a, const float3 b)
__device_inline float3	cross (const float3 a, const float3 b)
__device_inline float	len (const float3 a)
__device_inline float3	normalize (const float3 a)
__device_inline float3	normalize_len (const float3 a, float *t)
__device_inline bool	operator== (const float3 a, const float3 b)
__device_inline bool	operator!= (const float3 a, const float3 b)
__device_inline float3	min (float3 a, float3 b)
__device_inline float3	max (float3 a, float3 b)
__device_inline float3	clamp (float3 a, float3 mn, float3 mx)
__device_inline float3	fabs (float3 a)
__device_inline float3	float4_to_float3 (const float4 a)
__device_inline float4	float3_to_float4 (const float3 a)
__device_inline void	print_float3 (const char *label, const float3 &a)
__device_inline float3	interp (float3 a, float3 b, float t)
__device_inline bool	is_zero (const float4 &a)
__device_inline float	average (const float4 &a)
__device_inline float4	operator- (const float4 &a)
__device_inline float4	operator* (const float4 &a, const float4 &b)
__device_inline float4	operator* (const float4 &a, float f)
__device_inline float4	operator* (float f, const float4 &a)
__device_inline float4	operator/ (const float4 &a, float f)
__device_inline float4	operator/ (const float4 &a, const float4 &b)
__device_inline float4	operator+ (const float4 &a, const float4 &b)
__device_inline float4	operator- (const float4 &a, const float4 &b)
__device_inline float4	operator+= (float4 &a, const float4 &b)
__device_inline float4	operator*= (float4 &a, const float4 &b)
__device_inline float4	operator/= (float4 &a, float f)
__device_inline float	dot (const float4 &a, const float4 &b)
__device_inline float4	cross (const float4 &a, const float4 &b)
__device_inline float4	min (float4 a, float4 b)
__device_inline float4	max (float4 a, float4 b)
__device_inline void	print_float4 (const char *label, const float4 &a)
__device_inline int3	max (int3 a, int3 b)
__device_inline int3	clamp (const int3 &a, int mn, int mx)
__device_inline int3	clamp (const int3 &a, int3 &mn, int mx)
__device_inline void	print_int3 (const char *label, const int3 &a)
__device_inline int4	operator>= (float4 a, float4 b)
__device_inline void	print_int4 (const char *label, const int4 &a)
__device_inline unsigned int	as_uint (float f)
__device_inline int	__float_as_int (float f)
__device_inline float	__int_as_float (int i)
__device_inline uint	__float_as_uint (float f)
__device_inline float	__uint_as_float (uint i)
template<class A , class B >
A	lerp (const A &a, const A &b, const B &t)
__device_inline float	triangle_area (const float3 v1, const float3 v2, const float3 v3)
__device_inline void	make_orthonormals (const float3 N, float3 *a, float3 *b)

---

Define Documentation

#define _USE_MATH_DEFINES

Definition at line 29 of file util_math.h.

#define M_1_PI_F   ((float)0.318309886183790671537767526745028724)

Definition at line 51 of file util_math.h.

Referenced by bsdf_ashikhmin_velvet_eval_reflect(), bsdf_ashikhmin_velvet_sample(), bsdf_diffuse_eval_reflect(), bsdf_oren_nayar_eval_reflect(), bsdf_translucent_eval_transmit(), bsdf_westin_backscatter_eval_reflect(), bsdf_westin_backscatter_sample(), bsdf_westin_sheen_eval_reflect(), direct_emission(), sample_cos_hemisphere(), and sample_uniform_hemisphere().

#define M_2_PI_F   ((float)0.636619772367581343075535053490057448)

Definition at line 54 of file util_math.h.

#define M_PI_2_F   ((float)1.57079632679489661923132169163975144)

Definition at line 45 of file util_math.h.

Referenced by bsdf_ward_sample(), safe_asinf(), and sky_radiance().

#define M_PI_4_F   ((float)0.785398163397448309615660845819875721)

Definition at line 48 of file util_math.h.

Referenced by concentric_sample_disk(), and to_unit_disk().

#define M_PI_F   ((float)3.14159265358979323846264338327950288)

Definition at line 42 of file util_math.h.

Referenced by bsdf_microfacet_beckmann_eval_reflect(), bsdf_microfacet_beckmann_eval_transmit(), bsdf_microfacet_beckmann_sample(), bsdf_microfacet_ggx_eval_reflect(), bsdf_microfacet_ggx_eval_transmit(), bsdf_microfacet_ggx_sample(), bsdf_oren_nayar_setup(), bsdf_ward_eval_reflect(), bsdf_ward_sample(), bsdf_westin_backscatter_sample(), Camera::Camera(), SubdAccBuilder::computeBoundaryTangentStencils(), SubdAccBuilder::computeEdgeStencil(), SubdAccBuilder::computeInteriorStencil(), noise_wave(), regular_polygon_sample(), safe_acosf(), sample_uniform_hemisphere(), sample_uniform_sphere(), sky_texture_precompute(), svm_gradient(), and svm_node_tex_environment().

---

Function Documentation

__device_inline int __float_as_int

(

float

f

)

Definition at line 745 of file util_math.h.

References i.

Referenced by SVMCompiler::add_node(), bvh_node_intersect(), VolumeNode::compile(), BsdfNode::compile(), MeshManager::displace(), light_sample(), RegularBVH::pack_node(), qbvh_node_intersect(), regular_light_sample(), scene_intersect(), shader_setup_from_ray(), SVMCompiler::stack_assign(), triangle_attribute_float(), triangle_attribute_float3(), triangle_dPdudv(), triangle_normal_MT(), triangle_point_MT(), and triangle_smooth_normal().

__device_inline uint __float_as_uint

(

float

f

)

Definition at line 759 of file util_math.h.

References i.

Referenced by ray_offset().

__device_inline float __int_as_float

(

int

i

)

Definition at line 752 of file util_math.h.

References i.

Referenced by LightManager::device_update_distribution(), LightManager::device_update_points(), kernel_shader_evaluate(), QBVH::pack_inner(), QBVH::pack_leaf(), Mesh::pack_normals(), Mesh::pack_verts(), read_node_float(), stack_load_float_default(), svm_node_closure_bsdf(), svm_node_closure_set_weight(), svm_node_closure_volume(), svm_node_emission_set_weight_total(), svm_node_fresnel(), svm_node_layer_weight(), svm_node_normal(), svm_node_value_f(), and svm_node_value_v().

__device_inline float __uint_as_float

(

uint

i

)

Definition at line 766 of file util_math.h.

References i.

Referenced by ray_offset().

__device_inline float2 as_float2

(

const float4

a

)

Definition at line 330 of file util_math.h.

References make_float2(), float4::x, and float4::y.

__device_inline unsigned int as_uint

(

float

f

)

Definition at line 738 of file util_math.h.

References i.

__device_inline float average

(

const float2

a

)

Definition at line 167 of file util_math.h.

References float2::x, and float2::y.

Referenced by btSoftBodyHelpers::Draw(), flatten_surface_closure_tree(), flatten_volume_closure_tree(), get_mesh_attribute_convert(), kernel_path_integrate(), path_state_terminate_probability(), shadow_blocked(), svm_node_attr(), svm_node_attr_bump_dx(), svm_node_attr_bump_dy(), svm_node_closure_set_mix_weight(), svm_node_tex_magic(), and svm_voronoi().

__device_inline float average

(

const float4 &

a

)

Definition at line 567 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline float average

(

const float3

a

)

Definition at line 362 of file util_math.h.

References float3::x, float3::y, and float3::z.

__device_inline float3 clamp	(	float3	a,
		float3	mn,
		float3	mx
	)

Definition at line 522 of file util_math.h.

References max, and min.

__device_inline float2 clamp	(	float2	a,
		float2	mn,
		float2	mx
	)

Definition at line 320 of file util_math.h.

References max, and min.

__device_inline float clamp	(	float	a,
		float	mn,
		float	mx
	)

Definition at line 134 of file util_math.h.

References max, and min.

__device_inline int3 clamp	(	const int3 &	a,
		int	mn,
		int	mx
	)

Definition at line 691 of file util_math.h.

References clamp, int3::x, int3::y, and int3::z.

__device_inline int3 clamp	(	const int3 &	a,
		int3 &	mn,
		int	mx
	)

Definition at line 697 of file util_math.h.

References clamp, int3::x, int3::y, and int3::z.

__device_inline int clamp	(	int	a,
		int	mn,
		int	mx
	)

Definition at line 129 of file util_math.h.

References max, and min.

__device_inline float4 cross	(	const float4 &	a,
		const float4 &	b
	)

Definition at line 654 of file util_math.h.

References float4::x, float4::y, and float4::z.

__device_inline float cross	(	const float2	a,
		const float2	b
	)

Definition at line 273 of file util_math.h.

References float2::x, and float2::y.

__device_inline float3 cross	(	const float3	a,
		const float3	b
	)

Definition at line 470 of file util_math.h.

References make_float3(), float3::x, float3::y, and float3::z.

__device_inline float dot	(	const float4 &	a,
		const float4 &	b
	)

Definition at line 649 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline float dot	(	const float3	a,
		const float3	b
	)

Definition at line 465 of file util_math.h.

References float3::x, float3::y, and float3::z.

__device_inline float dot	(	const float2	a,
		const float2	b
	)

Definition at line 268 of file util_math.h.

References float2::x, and float2::y.

__device_inline float3 fabs

(

float3

a

)

Definition at line 527 of file util_math.h.

References fabsf, make_float3(), float3::x, float3::y, and float3::z.

__device_inline float2 fabs

(

float2

a

)

Definition at line 325 of file util_math.h.

References fabsf, make_float2(), float2::x, and float2::y.

__device_inline float4 float3_to_float4

(

const float3

a

)

Definition at line 539 of file util_math.h.

References make_float4(), float3::x, float3::y, and float3::z.

Referenced by Camera::device_update().

__device_inline float3 float4_to_float3

(

const float4

a

)

Definition at line 534 of file util_math.h.

References make_float3(), float4::x, float4::y, and float4::z.

Referenced by camera_sample_orthographic(), camera_sample_perspective(), transform_uniform_scale(), triangle_attribute_float(), triangle_attribute_float3(), triangle_dPdudv(), triangle_normal_MT(), triangle_point_MT(), and triangle_smooth_normal().

__device_inline float3 interp	(	float3	a,
		float3	b,
		float	t
	)

Definition at line 553 of file util_math.h.

__device_inline float2 interp	(	float2	a,
		float2	b,
		float	t
	)

Definition at line 348 of file util_math.h.

Referenced by TriangleDice::add_grid(), BL_ConvertWorldIpos(), BL_CreateCameraIPO(), BL_CreateIPO(), BL_CreateLampIPO(), ClipSegmentToLine(), LinearQuadPatch::eval(), QuadDice::map_uv(), DiagSplit::partition_edge(), PyC_DefaultNameSpace(), PyC_MainModule_Backup(), PyC_MainModule_Restore(), PyInit_mathutils_noise(), and AnimationImporter::write_animation().

__device_inline bool is_zero

(

const float4 &

a

)

Definition at line 562 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline bool is_zero

(

const float3

a

)

Definition at line 357 of file util_math.h.

References float3::x, float3::y, and float3::z.

__device_inline bool is_zero

(

const float2

a

)

Definition at line 158 of file util_math.h.

References float2::x, and float2::y.

Referenced by direct_emission(), and kernel_path_integrate().

__device_inline float len

(

const float3

a

)

Definition at line 478 of file util_math.h.

References dot(), and sqrtf.

__device_inline float len

(

const float2

a

)

Definition at line 282 of file util_math.h.

References dot(), and sqrtf.

Referenced by add_struct(), add_text(), add_type(), addblur_rect(), addblur_rect_key(), KX_GameObject::AlignAxisToVect(), alter_co(), an_stringdec(), apply_heights_callback(), area_quad_v3(), area_tri_v3(), arraysize(), AUD_LimiterReader::AUD_LimiterReader(), AUD_readSound(), AUD_readSoundBuffer(), avi_fetchibuf(), BKE_add_image_file(), BKE_add_movieclip_file(), BKE_image_user_get_frame(), BKE_ptcache_disk_cache_rename(), BKE_ptcache_id_clear(), BKE_ptcache_id_time(), BKE_ptcache_load_external(), BKE_rebase_path(), BKE_report(), BLI_add_slash(), BLI_ascii_strtolower(), BLI_ascii_strtoupper(), BLI_del_slash(), BLI_dir_free_space(), BLI_dynstr_appendf(), BLI_dynstr_vappendf(), BLI_edgefill(), BLI_exists(), BLI_has_parent(), BLI_jitterate1(), BLI_linklist_length(), BLI_str_utf8_as_unicode(), BLI_str_utf8_as_unicode_and_size(), BLI_str_utf8_as_unicode_step(), BLI_str_utf8_from_unicode(), BLI_str_utf8_size(), BLI_strcasestr(), BLI_strdupcat(), BLI_strdupn(), BLI_strescape(), BLI_stringdec(), BLI_strlen_utf8(), BLI_strncasecmp(), BLI_strncpy_wchar_as_utf8(), BLI_strncpy_wchar_from_utf8(), BLI_system_thread_count(), BLI_uniquename_cb(), BLI_wstrlen_utf8(), BLO_is_a_library(), BME_bevel_initialize(), BME_bevel_mesh(), BME_bevel_poly(), BME_bevel_split_edge(), BME_bmesh_to_derivedmesh(), BME_bmesh_to_editmesh(), BME_cycle_length(), BME_cycle_remove(), BME_cycle_validate(), BME_derivedmesh_to_bmesh(), BME_disk_count_edgeflag(), BME_disk_hasedge(), BME_disk_remove_edge(), BME_editmesh_to_bmesh(), BME_is_nonmanifold_vert(), BME_JEKV(), BME_KF(), BME_loop_find_loop(), BME_loop_reverse(), BME_MF(), BME_radial_find_face(), BME_radial_remove_loop(), BME_SFME(), BME_split_edge(), bmesh_dissolve_disk(), boid_brain(), bone_autoside_name(), boxPack2D(), boxPack_FromPyObject(), boxPack_ToPyObject(), bpath_traverse_id(), BPY_context_member_get(), BPy_IDGroup_CorrectListLen(), BPy_IDProperty_Map_ValidateAndCreate(), bpy_text_import(), BPy_Wrap_GetKeys(), brush_curve_strength(), brush_curve_strength_clamp(), brush_painter_paint(), btAdjustInternalEdgeContacts(), btStrLen(), Buffer_to_list(), Buffer_to_list_recursive(), bvh_instance_pop(), bvh_instance_push(), calc_edge_stress_add(), calcArcCorrelation(), calchandle_curvemap(), calchandleNurb(), calculate_speedvector(), calculate_structlens(), btTransformUtil::calculateDiffAxisAngle(), btTransformUtil::calculateDiffAxisAngleQuaternion(), check_for_dupid(), checkPackedFile(), clampto_evaluate(), cloth_calc_helper_forces(), column_widths(), STR_String::Concat(), console_insert_exec(), console_line_insert(), STR_String::Copy(), correct_bezpart(), createArc(), curve_to_displist(), delete_exec(), densfunc(), dist_to_line_segment_v2(), DM_add_tangent_layer(), DNA_elem_array_size(), do_grab_brush(), do_material_tex(), do_snake_hook_brush(), doEdgeSlide(), dquat_to_mat4(), draw_brackets(), draw_distortion(), draw_motion_path_instance(), drawfloor(), drawgrid(), duplicateNurb(), ED_armature_from_edit(), eff_calc_visibility(), elementsize(), ensure_digits(), exr_rgba_channelname(), KX_Camera::ExtractFrustumSphere(), extrudeflagNurb(), fcurve_path_rename(), FHT(), fillrect(), find_elem(), find_first_points(), flatten_string(), flatten_string_append(), flip_side_name(), followtrack_evaluate(), fsmenu_read_bookmarks(), fsmenu_read_system(), gearGL(), get_part_from_ibuf(), get_suggest_prefix(), Projections::getBoxMask(), Projections::getChildrenMasks(), GHOST_SystemWin32::getClipboard(), AUD_LimiterReader::getLength(), AUD_DelayReader::getLength(), Projections::getSubProjectionsSimple(), RAS_MeshObject::GetVertex(), GHOST_SystemCocoa::GHOST_SystemCocoa(), GHOST_WindowX11::GHOST_WindowX11(), gpu_str_skip_token(), GPU_texture_convert_pixels(), hash(), idp_sequence_type(), imb_exr_split_channel_name(), IMB_indexer_get_frame_index(), init_render_dm(), init_render_mesh(), btDefaultSerializer::initDNA(), insert_text_exec(), interleave_rect(), interp_weights_poly_v3(), is_basis_mball(), is_hidden_file(), is_track_clean(), knife_cut_exec(), KX_ConstraintActuator::KX_ConstraintActuator(), labda_PdistVL2Dfl(), lasso_inside(), layer_menu(), light_distribution_sample(), load_fluidsimspeedvectors(), load_tex(), M_Geometry_box_pack_2d(), make_memhead_header(), make_pass_name(), make_structDNA(), makeBevelList(), makeDispListSurf(), makeNurbcurve(), makeNurbfaces(), map_to_sphere(), map_to_tube(), mathutils_rna_vector_set(), mbvh_instance_pop(), mbvh_instance_push(), md5_stream(), mean_value_half_tan(), MEM_mapallocN(), mesh_add_edges(), mesh_add_faces(), mesh_add_verts(), mesh_layers_menu_charlen(), meshdeform_intersect(), meshdeform_ray_tree_intersect(), AUD_SoftwareDevice::mix(), my_memcmp(), mywrite(), new_folder_path(), nlaedit_split_strip_actclip(), node_animation_properties(), normalize(), normalize_len(), normalize_m4(), normalize_m4_m4(), normalize_qt(), NPP_Write(), RAS_MeshObject::NumVertices(), object_set_dimensions(), occ_find_bbox_axis(), oldreadcolrs(), operator_search_cb(), outliner_buttons(), output_iris(), p_chart_boundaries(), p_chart_minimum_area_angle(), p_chart_symmetry_pins(), pass_menu(), paste_selection(), permutate(), pose_slide_apply_props(), poselib_preview_handle_search(), posttrans_fcurve_clean(), preprocess_include(), btSphereSphereCollisionAlgorithm::processCollision(), prop_subscript_ass_array_int(), btSoftBody::PSolve_Links(), psys_get_dupli_path_transform(), ptcache_file_compressed_read(), ptcache_filename(), pyrna_array_contains_py(), pyrna_deferred_register_class_recursive(), pyrna_math_object_from_array(), pyrna_param_to_py(), pyrna_prop_array_ass_subscript(), pyrna_prop_array_iter(), pyrna_prop_array_subscript(), pyrna_prop_array_subscript_int(), pyrna_prop_collection_ass_subscript(), pyrna_prop_collection_ass_subscript_int(), pyrna_prop_collection_subscript(), pyrna_prop_collection_subscript_int(), pyrna_prop_str(), pyrna_py_from_array_index(), qbvh_instance_pop(), qbvh_instance_push(), Quaternion_angle_set(), Quaternion_axis_vector_set(), radial_control_get_path(), AUD_SequencerReader::read(), AUD_ReverseReader::read(), AUD_LoopReader::read(), AUD_LinearResampleReader::read(), AUD_LimiterReader::read(), AUD_DoubleReader::read(), AUD_DelayReader::read(), reconstruct_elem(), reopen_text(), resizeArcBuckets(), btSolve2LinearConstraint::resolveBilateralPairConstraint(), btSolve2LinearConstraint::resolveUnilateralPairConstraint(), RIG_parentControl(), RNA_function_call_direct_va(), rna_generate_property(), RNA_parameter_length_get(), rna_parameter_size(), RNA_path_resolve_full(), rna_path_token(), RNA_property_as_string(), RNA_property_boolean_get_default_index(), RNA_property_boolean_get_index(), RNA_property_boolean_set_index(), RNA_property_collection_move(), RNA_property_collection_remove(), RNA_property_copy(), RNA_property_float_get_default_index(), RNA_property_float_get_index(), RNA_property_float_set_index(), RNA_property_int_get_default_index(), RNA_property_int_get_index(), RNA_property_int_set_index(), RNA_property_multi_array_length(), RNA_property_reset(), rna_token_strip_quotes(), rule_avoid_collision(), rule_follow_leader(), rule_goal_avoid(), rule_separate(), MT_Vector3::safe_normalized(), scene_intersect(), scroll_printstr(), AUD_LoopReader::seek(), AUD_FFMPEGReader::seek(), seg_intersect(), seq_tx_set_final_right(), sequencer_change_path_exec(), btDefaultSerializer::serializeName(), btDiscreteDynamicsWorld::serializeRigidBodies(), btCollisionShape::serializeSingleShape(), btSoftRigidDynamicsWorld::serializeSoftBodies(), session_print(), set_case(), STR_String::SetLength(), setNearestAxis3d(), sound_new_file(), sphere_do(), EdgeDice::stitch_triangles(), STR_gHash(), STR_String::STR_String(), string_dup(), svm_node_camera(), svm_vector_math(), svm_wave(), switch_endian_knots(), CcdPhysicsController::SynchronizeMotionStates(), system_cpu_thread_count(), DiagSplit::T(), test_endian_zbuf(), test_pointer_array(), text_cursor_set_to_pos_wrapped(), text_font_draw_character_utf8(), text_insert_invoke(), texttool_docs_show(), texttool_suggest_add(), texttool_suggest_prefix(), time_draw_cache(), to_hex_char(), toggle_case_exec(), transform_uniform_scale(), triangle_area(), IsoSurface::triangulate(), txt_comment(), txt_format_line(), txt_indent(), txt_insert_buf(), txt_utf8_len(), txttl_cmp(), ui_do_but_HSVCIRCLE(), ui_do_but_HSVCUBE(), ui_item_array(), ui_item_name_add_colon(), ui_item_rna_size(), ui_layer_but_cb(), ui_textedit_copypaste(), ui_textedit_delete(), ui_textedit_delete_selection(), ui_textedit_move(), ui_textedit_type_buf(), UI_view2d_text_cache_add(), UI_view2d_text_cache_rectf(), uiItemFullR(), uiTemplateList(), unique_name(), unit_as_string(), unit_scale_str(), update_string(), btSoftBody::updateNormals(), validate_array_length(), voronoi_distance(), weight_sample_invoke(), wm_read_exotic(), WM_write_file(), AUD_FFMPEGWriter::write(), writedata(), AUD_FileWriter::writeReader(), and zmask_rect().

template<class A , class B >

A lerp	(	const A &	a,
		const A &	b,
		const B &	t
	)

Definition at line 775 of file util_math.h.

References A, and B.

__device_inline void make_orthonormals	(	const float3	N,
		float3 *	a,
		float3 *	b
	)

Definition at line 791 of file util_math.h.

References cross(), make_float3(), normalize(), float3::x, float3::y, and float3::z.

Referenced by bsdf_microfacet_beckmann_sample(), bsdf_microfacet_ggx_sample(), bsdf_westin_backscatter_sample(), disk_light_sample(), WardClosure::eval_reflect(), GenericEmissiveClosure::sample(), WestinBackscatterClosure::sample(), WardClosure::sample(), MicrofacetBeckmannClosure< Refractive >::sample(), MicrofacetGGXClosure< Refractive >::sample(), sample_cos_hemisphere(), and sample_uniform_hemisphere().

__device_inline float3 max	(	float3	a,
		float3	b
	)

Definition at line 516 of file util_math.h.

References make_float3(), max, float3::x, float3::y, and float3::z.

__device_inline double max	(	double	a,
		double	b
	)

Definition at line 105 of file util_math.h.

__device_inline float2 max	(	float2	a,
		float2	b
	)

Definition at line 314 of file util_math.h.

References max, float2::x, and float2::y.

__device_inline int max	(	int	a,
		int	b
	)

Definition at line 85 of file util_math.h.

__device_inline float4 max	(	float4	a,
		float4	b
	)

Definition at line 665 of file util_math.h.

References make_float4(), max, float4::w, float4::x, float4::y, and float4::z.

__device_inline int3 max	(	int3	a,
		int3	b
	)

Definition at line 685 of file util_math.h.

References max, int3::x, int3::y, and int3::z.

__device_inline float max	(	float	a,
		float	b
	)

Definition at line 95 of file util_math.h.

__device_inline float max4	(	float	a,
		float	b,
		float	c,
		float	d
	)

Definition at line 122 of file util_math.h.

References max.

Referenced by bvh_node_intersect(), and qbvh_bb_intersect().

__device_inline float min	(	float	a,
		float	b
	)

Definition at line 100 of file util_math.h.

__device_inline float3 min	(	float3	a,
		float3	b
	)

Definition at line 510 of file util_math.h.

References make_float3(), min, float3::x, float3::y, and float3::z.

__device_inline float2 min	(	float2	a,
		float2	b
	)

Definition at line 308 of file util_math.h.

References min, float2::x, and float2::y.

__device_inline int min	(	int	a,
		int	b
	)

Definition at line 90 of file util_math.h.

__device_inline float4 min	(	float4	a,
		float4	b
	)

Definition at line 660 of file util_math.h.

References make_float4(), min, float4::w, float4::x, float4::y, and float4::z.

__device_inline double min	(	double	a,
		double	b
	)

Definition at line 110 of file util_math.h.

__device_inline float min4	(	float	a,
		float	b,
		float	c,
		float	d
	)

Definition at line 117 of file util_math.h.

References min.

Referenced by bvh_node_intersect(), and qbvh_bb_intersect().

__device_inline float nonzerof	(	float	f,
		float	eps
	)

Definition at line 146 of file util_math.h.

References eps, fabsf, and signf().

__device_inline float2 normalize

(

const float2

a

)

Definition at line 287 of file util_math.h.

References len().

__device_inline float3 normalize

(

const float3

a

)

Definition at line 485 of file util_math.h.

References len().

__device_inline float2 normalize_len	(	const float2	a,
		float *	t
	)

Definition at line 292 of file util_math.h.

References len().

Referenced by bvh_instance_push(), bvh_triangle_refine(), direct_emission(), light_sample(), qbvh_instance_push(), and shadow_blocked().

__device_inline float3 normalize_len	(	const float3	a,
		float *	t
	)

Definition at line 492 of file util_math.h.

References len().

__device_inline bool operator!=	(	const float3	a,
		const float3	b
	)

Definition at line 505 of file util_math.h.

__device_inline bool operator!=	(	const float2	a,
		const float2	b
	)

Definition at line 303 of file util_math.h.

__device_inline float2 operator*	(	const float2	a,
		const float2	b
	)

Definition at line 182 of file util_math.h.

References float2::x, and float2::y.

__device_inline float2 operator*	(	const float2	a,
		float	f
	)

Definition at line 188 of file util_math.h.

References float2::x, and float2::y.

__device_inline float2 operator*	(	float	f,
		const float2	a
	)

Definition at line 194 of file util_math.h.

References float2::x, and float2::y.

__device_inline float4 operator*	(	const float4 &	a,
		const float4 &	b
	)

Definition at line 578 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline float4 operator*	(	const float4 &	a,
		float	f
	)

Definition at line 584 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline float4 operator*	(	float	f,
		const float4 &	a
	)

Definition at line 590 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline float3 operator*	(	const float3	a,
		const float3	b
	)

Definition at line 375 of file util_math.h.

References make_float3(), float3::x, float3::y, and float3::z.

__device_inline float3 operator*	(	const float3	a,
		float	f
	)

Definition at line 381 of file util_math.h.

References make_float3(), float3::x, float3::y, and float3::z.

__device_inline float3 operator*	(	float	f,
		const float3	a
	)

Definition at line 387 of file util_math.h.

References make_float3(), float3::x, float3::y, and float3::z.

__device_inline float4 operator*=	(	float4 &	a,
		const float4 &	b
	)

Definition at line 630 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline float2 operator*=	(	float2 &	a,
		const float2	b
	)

Definition at line 238 of file util_math.h.

References float2::x, and float2::y.

Referenced by ATTRIBUTE_ALIGNED16().

__device_inline float2 operator*=	(	float2 &	a,
		float	f
	)

Definition at line 245 of file util_math.h.

References float2::x, and float2::y.

__device_inline float3 operator*=	(	float3 &	a,
		const float3	b
	)

Definition at line 432 of file util_math.h.

References float3::x, float3::y, and float3::z.

__device_inline float3 operator*=	(	float3 &	a,
		float	f
	)

Definition at line 440 of file util_math.h.

References float3::x, float3::y, and float3::z.

__device_inline float4 operator+	(	const float4 &	a,
		const float4 &	b
	)

Definition at line 609 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline float2 operator+	(	const float2	a,
		const float2	b
	)

Definition at line 219 of file util_math.h.

References float2::x, and float2::y.

__device_inline float3 operator+	(	const float3	a,
		const float3	b
	)

Definition at line 412 of file util_math.h.

References make_float3(), float3::x, float3::y, and float3::z.

__device_inline float4 operator+=	(	float4 &	a,
		const float4 &	b
	)

Definition at line 621 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline float2 operator+=	(	float2 &	a,
		const float2	b
	)

Definition at line 231 of file util_math.h.

References float2::x, and float2::y.

Referenced by ATTRIBUTE_ALIGNED16().

__device_inline float3 operator+=	(	float3 &	a,
		const float3	b
	)

Definition at line 424 of file util_math.h.

References float3::x, float3::y, and float3::z.

__device_inline float4 operator-

(

const float4 &

a

)

Definition at line 572 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline float2 operator-	(	const float2	a,
		const float2	b
	)

Definition at line 225 of file util_math.h.

References float2::x, and float2::y.

__device_inline float3 operator-

(

const float3

a

)

Definition at line 369 of file util_math.h.

References make_float3(), float3::x, float3::y, and float3::z.

__device_inline float3 operator-	(	const float3	a,
		const float3	b
	)

Definition at line 418 of file util_math.h.

References make_float3(), float3::x, float3::y, and float3::z.

__device_inline float4 operator-	(	const float4 &	a,
		const float4 &	b
	)

Definition at line 615 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline float2 operator-

(

const float2

a

)

Definition at line 176 of file util_math.h.

References float2::x, and float2::y.

Referenced by btConeTwistConstraint::computeTwistLimitInfo().

__device_inline float3 operator/	(	float	f,
		const float3	a
	)

Definition at line 393 of file util_math.h.

References make_float3(), float3::x, float3::y, and float3::z.

__device_inline float3 operator/	(	const float3	a,
		float	f
	)

Definition at line 399 of file util_math.h.

References make_float3(), float3::x, float3::y, and float3::z.

__device_inline float4 operator/	(	const float4 &	a,
		float	f
	)

Definition at line 596 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline float2 operator/	(	const float2	a,
		const float2	b
	)

Definition at line 213 of file util_math.h.

References float2::x, and float2::y.

__device_inline float4 operator/	(	const float4 &	a,
		const float4 &	b
	)

Definition at line 603 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline float3 operator/	(	const float3	a,
		const float3	b
	)

Definition at line 406 of file util_math.h.

References make_float3(), float3::x, float3::y, and float3::z.

__device_inline float2 operator/	(	const float2	a,
		float	f
	)

Definition at line 206 of file util_math.h.

References float2::x, and float2::y.

__device_inline float2 operator/	(	float	f,
		const float2	a
	)

Definition at line 200 of file util_math.h.

References float2::x, and float2::y.

__device_inline float2 operator/=	(	float2 &	a,
		const float2	b
	)

Definition at line 252 of file util_math.h.

References float2::x, and float2::y.

Referenced by ATTRIBUTE_ALIGNED16().

__device_inline float2 operator/=	(	float2 &	a,
		float	f
	)

Definition at line 259 of file util_math.h.

References float2::x, and float2::y.

__device_inline float3 operator/=	(	float3 &	a,
		float	f
	)

Definition at line 456 of file util_math.h.

References float3::x, float3::y, and float3::z.

__device_inline float4 operator/=	(	float4 &	a,
		float	f
	)

Definition at line 639 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

__device_inline float3 operator/=	(	float3 &	a,
		const float3	b
	)

Definition at line 448 of file util_math.h.

References float3::x, float3::y, and float3::z.

__device_inline bool operator==	(	const float3	a,
		const float3	b
	)

Definition at line 500 of file util_math.h.

References float3::x, float3::y, and float3::z.

__device_inline bool operator==	(	const float2	a,
		const float2	b
	)

Definition at line 298 of file util_math.h.

References float2::x, and float2::y.

__device_inline int4 operator>=	(	float4	a,
		float4	b
	)

Definition at line 718 of file util_math.h.

References make_int4(), float4::w, float4::x, float4::y, and float4::z.

__device_inline void print_float2	(	const char *	label,
		const float2 &	a
	)

Definition at line 339 of file util_math.h.

References float2::x, and float2::y.

__device_inline void print_float3	(	const char *	label,
		const float3 &	a
	)

Definition at line 546 of file util_math.h.

References float3::x, float3::y, and float3::z.

__device_inline void print_float4	(	const char *	label,
		const float4 &	a
	)

Definition at line 674 of file util_math.h.

References float4::w, float4::x, float4::y, and float4::z.

Referenced by print_transform().

__device_inline void print_int3	(	const char *	label,
		const int3 &	a
	)

Definition at line 707 of file util_math.h.

References int3::x, int3::y, and int3::z.

__device_inline void print_int4	(	const char *	label,
		const int4 &	a
	)

Definition at line 727 of file util_math.h.

References int4::w, int4::x, int4::y, and int4::z.

__device_inline float signf

(

float

f

)

Definition at line 141 of file util_math.h.

Referenced by do_displace(), nonzerof(), and svm_node_set_bump().

__device_inline float triangle_area	(	const float3	v1,
		const float3	v2,
		const float3	v3
	)

Definition at line 782 of file util_math.h.

References cross(), and len().

Referenced by LightManager::device_update_distribution(), ObjectManager::device_update_transforms(), and QuadDice::quad_area().