Blender V4.3
Macros | Enumerations | Functions
gim_math.h File Reference
#include "LinearMath/btScalar.h"

Go to the source code of this file.

Macros

#define GREAL   btScalar
 
#define GREAL2   double
 
#define GINT   int
 
#define GUINT   unsigned int
 
#define GSHORT   short
 
#define GUSHORT   unsigned short
 
#define GINT64   long long
 
#define GUINT64   unsigned long long
 
#define G_PI   3.14159265358979f
 
#define G_HALF_PI   1.5707963f
 
#define G_TWO_PI   6.28318530f
 
#define G_ROOT3   1.73205f
 
#define G_ROOT2   1.41421f
 
#define G_UINT_INFINITY   0xffffffff
 A very very high value.
 
#define G_REAL_INFINITY   FLT_MAX
 
#define G_SIGN_BITMASK   0x80000000
 
#define G_EPSILON   SIMD_EPSILON
 
#define G_DEGTORAD(X)   ((X)*3.1415926f / 180.0f)
 
#define G_RADTODEG(X)   ((X)*180.0f / 3.1415926f)
 
#define GIM_IR(x)   ((GUINT&)(x))
 Integer representation of a floating-point value.
 
#define GIM_SIR(x)   ((GINT&)(x))
 Signed integer representation of a floating-point value.
 
#define GIM_AIR(x)   (GIM_IR(x) & 0x7fffffff)
 Absolute integer representation of a floating-point value.
 
#define GIM_FR(x)   ((GREAL&)(x))
 Floating-point representation of an integer value.
 
#define GIM_MAX(a, b)   (a < b ? b : a)
 
#define GIM_MIN(a, b)   (a > b ? b : a)
 
#define GIM_MAX3(a, b, c)   GIM_MAX(a, GIM_MAX(b, c))
 
#define GIM_MIN3(a, b, c)   GIM_MIN(a, GIM_MIN(b, c))
 
#define GIM_IS_ZERO(value)   (value < G_EPSILON && value > -G_EPSILON)
 
#define GIM_IS_NEGATIVE(value)   (value <= -G_EPSILON)
 
#define GIM_IS_POSISITVE(value)   (value >= G_EPSILON)
 
#define GIM_NEAR_EQUAL(v1, v2)   GIM_IS_ZERO((v1 - v2))
 
#define GIM_CLAMP(number, minval, maxval)   (number < minval ? minval : (number > maxval ? maxval : number))
 returns a clamped number
 
#define GIM_GREATER(x, y)   btFabs(x) > (y)
 
#define GIM_SWAP_NUMBERS(a, b)
 Swap numbers.
 
#define GIM_INV_SQRT(va, isva)
 
#define GIM_SQRT(va, sva)
 

Enumerations

enum  GIM_SCALAR_TYPES {
  G_STYPE_REAL = 0 , G_STYPE_REAL2 , G_STYPE_SHORT , G_STYPE_USHORT ,
  G_STYPE_INT , G_STYPE_UINT , G_STYPE_INT64 , G_STYPE_UINT64
}
 

Functions

GREAL gim_inv_sqrt (GREAL f)
 Computes 1.0f / sqrtf(x). Comes from Quake3. See http://www.magic-software.com/3DGEDInvSqrt.html.
 
GREAL gim_sqrt (GREAL f)
 

Detailed Description

Author
Francisco Leon Najera

Definition in file gim_math.h.

Macro Definition Documentation

◆ G_DEGTORAD

#define G_DEGTORAD ( X)    ((X)*3.1415926f / 180.0f)

Definition at line 70 of file gim_math.h.

◆ G_EPSILON

#define G_EPSILON   SIMD_EPSILON

Definition at line 56 of file gim_math.h.

Referenced by GIM_TRIANGLE::get_uv_parameters(), GIM_TRIANGLE_CONTACT_DATA::mergepoints_generic(), PLANE_CLIP_POLYGON_COLLECT(), PLANE_CLIP_POLYGON_GENERIC(), PLANE_CLIP_SEGMENT2(), PLANE_CLIP_TRIANGLE_GENERIC(), and SEGMENT_COLLISION().

◆ G_HALF_PI

#define G_HALF_PI   1.5707963f

Definition at line 47 of file gim_math.h.

◆ G_PI

#define G_PI   3.14159265358979f

Definition at line 46 of file gim_math.h.

◆ G_RADTODEG

#define G_RADTODEG ( X)    ((X)*180.0f / 3.1415926f)

Definition at line 71 of file gim_math.h.

◆ G_REAL_INFINITY

#define G_REAL_INFINITY   FLT_MAX

Definition at line 54 of file gim_math.h.

Referenced by GIM_AABB::invalidate().

◆ G_ROOT2

#define G_ROOT2   1.41421f

Definition at line 52 of file gim_math.h.

◆ G_ROOT3

#define G_ROOT3   1.73205f

Definition at line 51 of file gim_math.h.

◆ G_SIGN_BITMASK

#define G_SIGN_BITMASK   0x80000000

Definition at line 55 of file gim_math.h.

◆ G_TWO_PI

#define G_TWO_PI   6.28318530f

Definition at line 49 of file gim_math.h.

◆ G_UINT_INFINITY

#define G_UINT_INFINITY   0xffffffff

A very very high value.

Definition at line 53 of file gim_math.h.

Referenced by GIM_TREE_TREE_COLLIDER< BOX_SET_CLASS0, BOX_SET_CLASS1 >::GIM_TREE_TREE_COLLIDER().

◆ GIM_AIR

#define GIM_AIR ( x)    (GIM_IR(x) & 0x7fffffff)

Absolute integer representation of a floating-point value.

Definition at line 80 of file gim_math.h.

◆ GIM_CLAMP

#define GIM_CLAMP ( number,
minval,
maxval )   (number < minval ? minval : (number > maxval ? maxval : number))

returns a clamped number

Definition at line 100 of file gim_math.h.

Referenced by SEGMENT_COLLISION().

◆ GIM_FR

#define GIM_FR ( x)    ((GREAL&)(x))

Floating-point representation of an integer value.

Definition at line 83 of file gim_math.h.

◆ GIM_GREATER

#define GIM_GREATER ( x,
y )   btFabs(x) > (y)

Definition at line 102 of file gim_math.h.

Referenced by GIM_AABB::collide_ray(), and GIM_AABB::overlapping_trans_cache().

◆ GIM_INV_SQRT

#define GIM_INV_SQRT ( va,
isva )
Value:
{ \
if (va <= 0.0000001f) \
{ \
isva = G_REAL_INFINITY; \
} \
else \
{ \
GREAL _x = va * 0.5f; \
GUINT _y = 0x5f3759df - (GIM_IR(va) >> 1); \
isva = GIM_FR(_y); \
isva = isva * (1.5f - (_x * isva * isva)); \
} \
}
GREAL
#define GREAL
Definition gim_math.h:37
GIM_IR
#define GIM_IR(x)
Integer representation of a floating-point value.
Definition gim_math.h:74
GUINT
#define GUINT
Definition gim_math.h:40
G_REAL_INFINITY
#define G_REAL_INFINITY
Definition gim_math.h:54
GIM_FR
#define GIM_FR(x)
Floating-point representation of an integer value.
Definition gim_math.h:83

Definition at line 112 of file gim_math.h.

Referenced by gim_inv_sqrt(), and GIM_CONTACT::interpolate_normals().

◆ GIM_IR

#define GIM_IR ( x)    ((GUINT&)(x))

Integer representation of a floating-point value.

Definition at line 74 of file gim_math.h.

◆ GIM_IS_NEGATIVE

#define GIM_IS_NEGATIVE ( value)    (value <= -G_EPSILON)

Definition at line 93 of file gim_math.h.

◆ GIM_IS_POSISITVE

#define GIM_IS_POSISITVE ( value)    (value >= G_EPSILON)

Definition at line 95 of file gim_math.h.

◆ GIM_IS_ZERO

#define GIM_IS_ZERO ( value)    (value < G_EPSILON && value > -G_EPSILON)

Definition at line 91 of file gim_math.h.

Referenced by BOX_AXIS_INTERSECT(), INTERSECT_PLANES(), and LINE_INTERSECTION_PARAMS().

◆ GIM_MAX

#define GIM_MAX ( a,
b )   (a < b ? b : a)

Definition at line 85 of file gim_math.h.

Referenced by BOX_AXIS_INTERSECT(), GIM_AABB::find_intersection(), GIM_AABB::merge(), and GIM_AABB::merge_point().

◆ GIM_MAX3

#define GIM_MAX3 ( a,
b,
c )   GIM_MAX(a, GIM_MAX(b, c))

Definition at line 88 of file gim_math.h.

Referenced by GIM_AABB::calc_from_triangle(), GIM_AABB::calc_from_triangle_margin(), GIM_AABB::GIM_AABB(), GIM_AABB::GIM_AABB(), and GIM_TRIANGLE_CALCULATION_CACHE::triangle_collision().

◆ GIM_MIN

#define GIM_MIN ( a,
b )   (a > b ? b : a)

Definition at line 86 of file gim_math.h.

Referenced by BOX_AXIS_INTERSECT(), GIM_AABB::find_intersection(), GIM_AABB::merge(), and GIM_AABB::merge_point().

◆ GIM_MIN3

#define GIM_MIN3 ( a,
b,
c )   GIM_MIN(a, GIM_MIN(b, c))

Definition at line 89 of file gim_math.h.

Referenced by GIM_AABB::calc_from_triangle(), GIM_AABB::calc_from_triangle_margin(), GIM_AABB::GIM_AABB(), GIM_AABB::GIM_AABB(), and GIM_TRIANGLE_CALCULATION_CACHE::triangle_collision().

◆ GIM_NEAR_EQUAL

#define GIM_NEAR_EQUAL ( v1,
v2 )   GIM_IS_ZERO((v1 - v2))

Definition at line 97 of file gim_math.h.

◆ GIM_SIR

#define GIM_SIR ( x)    ((GINT&)(x))

Signed integer representation of a floating-point value.

Definition at line 77 of file gim_math.h.

◆ GIM_SQRT

#define GIM_SQRT ( va,
sva )
Value:
{ \
GIM_INV_SQRT(va, sva); \
sva = 1.0f / sva; \
}

Definition at line 127 of file gim_math.h.

Referenced by gim_sqrt().

◆ GIM_SWAP_NUMBERS

#define GIM_SWAP_NUMBERS ( a,
b )
Value:
{ \
a = a + b; \
b = a - b; \
a = a - b; \
}
b
local_group_size(16, 16) .push_constant(Type b
Definition compositor_morphological_distance_info.hh:16

Swap numbers.

Definition at line 105 of file gim_math.h.

Referenced by BOX_AXIS_INTERSECT(), SEGMENT_COLLISION(), and GIM_TRIANGLE_CALCULATION_CACHE::sort_isect().

◆ GINT

#define GINT   int

Definition at line 39 of file gim_math.h.

Referenced by GIM_CONTACT::calc_key_contact().

◆ GINT64

#define GINT64   long long

Definition at line 43 of file gim_math.h.

◆ GREAL

#define GREAL   btScalar

Definition at line 37 of file gim_math.h.

Referenced by BOX_AXIS_INTERSECT(), CLOSEST_POINT_ON_SEGMENT(), GIM_TRIANGLE_CALCULATION_CACHE::cross_line_intersection_test(), gim_inv_sqrt(), gim_sqrt(), GIM_CONTACT::interpolate_normals(), INTERSECT_PLANES(), GIM_TRIANGLE::is_point_inside(), LINE_INTERSECTION_PARAMS(), LINE_PLANE_COLLISION(), gim_contact_array::merge_contacts_unique(), GIM_TRIANGLE_CONTACT_DATA::mergepoints_generic(), PLANE_CLIP_POLYGON_COLLECT(), PLANE_CLIP_POLYGON_GENERIC(), PLANE_CLIP_SEGMENT(), PLANE_CLIP_SEGMENT2(), PLANE_CLIP_TRIANGLE_GENERIC(), POINT_IN_HULL(), RAY_PLANE_COLLISION(), and SEGMENT_COLLISION().

◆ GREAL2

#define GREAL2   double

Definition at line 38 of file gim_math.h.

◆ GSHORT

#define GSHORT   short

Definition at line 41 of file gim_math.h.

◆ GUINT

#define GUINT   unsigned int

Definition at line 40 of file gim_math.h.

Referenced by gim_hash_table< T >::_assign_hash_table_cell(), GIM_BOX_TREE::_build_sub_tree(), GIM_BOX_TREE::_calc_splitting_axis(), gim_hash_table< T >::_erase_by_index_hash_table(), gim_hash_table< T >::_erase_hash_table(), gim_hash_table< T >::_erase_sorted(), gim_hash_table< T >::_erase_unsorted(), gim_hash_table< T >::_find_avaliable_cell(), gim_hash_table< T >::_find_cell(), gim_hash_table< T >::_insert_hash_table(), gim_hash_table< T >::_insert_hash_table_replace(), gim_hash_table< T >::_insert_sorted(), gim_hash_table< T >::_insert_sorted_replace(), gim_hash_table< T >::_invalidate_keys(), gim_hash_table< T >::_rehash(), gim_hash_table< T >::_reserve_table_memory(), GIM_BOX_TREE::_sort_and_calc_splitting_index(), GIM_BOX_TREE_TEMPLATE_SET< _GIM_PRIMITIVE_MANAGER_PROTOTYPE, _GIM_BOX_TREE_PROTOTYPE >::boxQuery(), GIM_BOX_TREE_TEMPLATE_SET< _GIM_PRIMITIVE_MANAGER_PROTOTYPE, _GIM_BOX_TREE_PROTOTYPE >::buildSet(), GIM_CONTACT::calc_key_contact(), gim_hash_table< T >::clear(), gim_bitset::clear_all(), GIM_TRIANGLE_CALCULATION_CACHE::clip_triangle(), GIM_TRIANGLE_CONTACT_DATA::copy_from(), GIM_TRIANGLE_CALCULATION_CACHE::cross_line_intersection_test(), gim_hash_table< T >::erase_by_key(), gim_array< T >::erase_sorted_mem(), gim_hash_table< T >::find(), GIM_TREE_TREE_COLLIDER< BOX_SET_CLASS0, BOX_SET_CLASS1 >::find_collision_pairs(), GIM_TRIANGLE::get_uv_parameters(), gim_hash_table< T >::get_value(), gim_binary_search(), gim_binary_search_ex(), gim_heap_sort(), gim_next_prime(), gim_radix_sort(), gim_radix_sort_array_tokens(), gim_radix_sort_rtokens(), gim_array< T >::growingCheck(), gim_array< T >::insert_mem(), GIM_CONTACT::interpolate_normals(), gim_contact_array::merge_contacts(), gim_contact_array::merge_contacts_unique(), GIM_TRIANGLE_CONTACT_DATA::mergepoints_generic(), uint_key_func::operator()(), PLANE_CLIP_POLYGON_COLLECT(), PLANE_CLIP_POLYGON_GENERIC(), PLANE_CLIP_TRIANGLE_GENERIC(), POINT_IN_HULL(), gim_contact_array::push_triangle_contacts(), GIM_TRIANGLE::ray_collision(), GIM_TRIANGLE::ray_collision_front_side(), GIM_BOX_TREE_TEMPLATE_SET< _GIM_PRIMITIVE_MANAGER_PROTOTYPE, _GIM_BOX_TREE_PROTOTYPE >::rayQuery(), GIM_BOX_TREE_TEMPLATE_SET< _GIM_PRIMITIVE_MANAGER_PROTOTYPE, _GIM_BOX_TREE_PROTOTYPE >::refit(), gim_bitset::resize(), gim_bitset::set_all(), gim_hash_table< T >::sort(), SORT_3_INDICES(), and GIM_TRIANGLE_CALCULATION_CACHE::triangle_collision().

◆ GUINT64

#define GUINT64   unsigned long long

Definition at line 44 of file gim_math.h.

◆ GUSHORT

#define GUSHORT   unsigned short

Definition at line 42 of file gim_math.h.

Enumeration Type Documentation

◆ GIM_SCALAR_TYPES

enum GIM_SCALAR_TYPES
Enumerator
G_STYPE_REAL 
G_STYPE_REAL2 
G_STYPE_SHORT 
G_STYPE_USHORT 
G_STYPE_INT 
G_STYPE_UINT 
G_STYPE_INT64 
G_STYPE_UINT64 

Definition at line 58 of file gim_math.h.

Function Documentation

◆ gim_inv_sqrt()

GREAL gim_inv_sqrt ( GREAL f)
inline

Computes 1.0f / sqrtf(x). Comes from Quake3. See http://www.magic-software.com/3DGEDInvSqrt.html.

Definition at line 134 of file gim_math.h.

References GIM_INV_SQRT, and GREAL.

◆ gim_sqrt()

GREAL gim_sqrt ( GREAL f)
inline

Definition at line 141 of file gim_math.h.

References GIM_SQRT, and GREAL.

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