Bullet Collision Detection & Physics Library
gim_math.h File Reference
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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)
 
#define G_RADTODEG(X)
 
#define GIM_IR(x)
 Integer representation of a floating-point value.
 
#define GIM_SIR(x)
 Signed integer representation of a floating-point value.
 
#define GIM_AIR(x)
 Absolute integer representation of a floating-point value.
 
#define GIM_FR(x)
 Floating-point representation of an integer value.
 
#define GIM_MAX(a, b)
 
#define GIM_MIN(a, b)
 
#define GIM_MAX3(a, b, c)
 
#define GIM_MIN3(a, b, c)
 
#define GIM_IS_ZERO(value)
 
#define GIM_IS_NEGATIVE(value)
 
#define GIM_IS_POSISITVE(value)
 
#define GIM_NEAR_EQUAL(v1, v2)
 
#define GIM_CLAMP(number, minval, maxval)
 returns a clamped number
 
#define GIM_GREATER(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)
Value:
((X)*3.1415926f/180.0f)

Definition at line 78 of file gim_math.h.

◆ G_EPSILON

#define G_EPSILON   SIMD_EPSILON

Definition at line 60 of file gim_math.h.

◆ G_HALF_PI

#define G_HALF_PI   1.5707963f

Definition at line 51 of file gim_math.h.

◆ G_PI

#define G_PI   3.14159265358979f

Definition at line 50 of file gim_math.h.

◆ G_RADTODEG

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

Definition at line 79 of file gim_math.h.

◆ G_REAL_INFINITY

#define G_REAL_INFINITY   FLT_MAX

Definition at line 58 of file gim_math.h.

◆ G_ROOT2

#define G_ROOT2   1.41421f

Definition at line 56 of file gim_math.h.

◆ G_ROOT3

#define G_ROOT3   1.73205f

Definition at line 55 of file gim_math.h.

◆ G_SIGN_BITMASK

#define G_SIGN_BITMASK   0x80000000

Definition at line 59 of file gim_math.h.

◆ G_TWO_PI

#define G_TWO_PI   6.28318530f

Definition at line 53 of file gim_math.h.

◆ G_UINT_INFINITY

#define G_UINT_INFINITY   0xffffffff

A very very high value.

Definition at line 57 of file gim_math.h.

◆ GIM_AIR

#define GIM_AIR ( x)
Value:
(GIM_IR(x)&0x7fffffff)
#define GIM_IR(x)
Integer representation of a floating-point value.
Definition gim_math.h:82

Absolute integer representation of a floating-point value.

Definition at line 88 of file gim_math.h.

◆ GIM_CLAMP

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

returns a clamped number

Definition at line 108 of file gim_math.h.

◆ GIM_FR

#define GIM_FR ( x)
Value:
((GREAL&)(x))
#define GREAL
Definition gim_math.h:39

Floating-point representation of an integer value.

Definition at line 91 of file gim_math.h.

◆ GIM_GREATER

#define GIM_GREATER ( x,
y )
Value:
btFabs(x) > (y)
btScalar btFabs(btScalar x)
Definition btScalar.h:475

Definition at line 110 of file gim_math.h.

◆ 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 ) );\
}\
}\
#define GUINT
Definition gim_math.h:42
#define G_REAL_INFINITY
Definition gim_math.h:58
#define GIM_FR(x)
Floating-point representation of an integer value.
Definition gim_math.h:91

Definition at line 119 of file gim_math.h.

◆ GIM_IR

#define GIM_IR ( x)
Value:
((GUINT&)(x))

Integer representation of a floating-point value.

Definition at line 82 of file gim_math.h.

◆ GIM_IS_NEGATIVE

#define GIM_IS_NEGATIVE ( value)
Value:
(value <= -G_EPSILON)
#define G_EPSILON
Definition gim_math.h:60

Definition at line 101 of file gim_math.h.

◆ GIM_IS_POSISITVE

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

Definition at line 103 of file gim_math.h.

◆ GIM_IS_ZERO

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

Definition at line 99 of file gim_math.h.

◆ GIM_MAX

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

Definition at line 93 of file gim_math.h.

◆ GIM_MAX3

#define GIM_MAX3 ( a,
b,
c )
Value:
#define GIM_MAX(a, b)
Definition gim_math.h:93

Definition at line 96 of file gim_math.h.

◆ GIM_MIN

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

Definition at line 94 of file gim_math.h.

◆ GIM_MIN3

#define GIM_MIN3 ( a,
b,
c )
Value:
#define GIM_MIN(a, b)
Definition gim_math.h:94

Definition at line 97 of file gim_math.h.

◆ GIM_NEAR_EQUAL

#define GIM_NEAR_EQUAL ( v1,
v2 )
Value:
GIM_IS_ZERO((v1-v2))
#define GIM_IS_ZERO(value)
Definition gim_math.h:99

Definition at line 105 of file gim_math.h.

◆ GIM_SIR

#define GIM_SIR ( x)
Value:
((GINT&)(x))
#define GINT
Definition gim_math.h:41

Signed integer representation of a floating-point value.

Definition at line 85 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 134 of file gim_math.h.

◆ GIM_SWAP_NUMBERS

#define GIM_SWAP_NUMBERS ( a,
b )
Value:
{ \
a = a+b; \
b = a-b; \
a = a-b; \
}\

Swap numbers.

Definition at line 113 of file gim_math.h.

◆ GINT

#define GINT   int

Definition at line 41 of file gim_math.h.

◆ GINT64

#define GINT64   long long

Definition at line 45 of file gim_math.h.

◆ GREAL

#define GREAL   btScalar

Definition at line 39 of file gim_math.h.

◆ GREAL2

#define GREAL2   double

Definition at line 40 of file gim_math.h.

◆ GSHORT

#define GSHORT   short

Definition at line 43 of file gim_math.h.

◆ GUINT

#define GUINT   unsigned int

Definition at line 42 of file gim_math.h.

◆ GUINT64

#define GUINT64   unsigned long long

Definition at line 46 of file gim_math.h.

◆ GUSHORT

#define GUSHORT   unsigned short

Definition at line 44 of file gim_math.h.

Enumeration Type Documentation

◆ 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 64 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 141 of file gim_math.h.

◆ gim_sqrt()

GREAL gim_sqrt ( GREAL f)
inline

Definition at line 148 of file gim_math.h.