Bullet Collision Detection & Physics Library: gim_math.h File Reference

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gim_math.h File Reference
`#include "LinearMath/btScalar.h"`
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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. More...
#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. More...
#define | GIM_SIR(x) ((GINT&)(x))
| Signed integer representation of a floating-point value. More...
#define | GIM_AIR(x) (GIM_IR(x)&0x7fffffff)
| Absolute integer representation of a floating-point value. More...
#define | GIM_FR(x) ((GREAL&)(x))
| Floating-point representation of an integer value. More...
#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 More...
#define | GIM_GREATER(x, y) btFabs(x) > (y)
#define | GIM_SWAP_NUMBERS(a, b)
| Swap numbers. More...
#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. More...
GREAL | gim_sqrt (GREAL f)

## Detailed Description

Author
  Francisco Leon Najera

Definition in file gim_math.h.

## Macro Definition Documentation

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

Definition at line 78 of file gim_math.h.

#define G_EPSILON SIMD_EPSILON

Definition at line 60 of file gim_math.h.

#define G_HALF_PI 1.5707963f

Definition at line 51 of file gim_math.h.

#define G_PI 3.14159265358979f

Definition at line 50 of file gim_math.h.

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

Definition at line 79 of file gim_math.h.

#define G_REAL_INFINITY FLT_MAX

Definition at line 58 of file gim_math.h.

#define G_ROOT2 1.41421f

Definition at line 56 of file gim_math.h.

#define G_ROOT3 1.73205f

Definition at line 55 of file gim_math.h.

#define G_SIGN_BITMASK 0x80000000

Definition at line 59 of file gim_math.h.

#define G_TWO_PI 6.28318530f

Definition at line 53 of file gim_math.h.

#define G_UINT_INFINITY 0xffffffff

A very very high value.

Definition at line 57 of file gim_math.h.

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

Absolute integer representation of a floating-point value.

Definition at line 88 of file gim_math.h.

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

returns a clamped number

Definition at line 108 of file gim_math.h.

#define GIM_FR | ( |  | x | ) | ((GREAL&)(x))

Floating-point representation of an integer value.

Definition at line 91 of file gim_math.h.

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

Definition at line 110 of file gim_math.h.

#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 ) );\
}\
}\
GIM_IR
#define GIM_IR(x)
Integer representation of a floating-point value.
Definition: gim_math.h:82
GIM_FR
#define GIM_FR(x)
Floating-point representation of an integer value.
Definition: gim_math.h:91
GREAL
#define GREAL
Definition: gim_math.h:39
G_REAL_INFINITY
#define G_REAL_INFINITY
Definition: gim_math.h:58
GUINT
#define GUINT
Definition: gim_math.h:42

Definition at line 119 of file gim_math.h.

#define GIM_IR | ( |  | x | ) | ((GUINT&)(x))

Integer representation of a floating-point value.

Definition at line 82 of file gim_math.h.

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

Definition at line 101 of file gim_math.h.

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

Definition at line 103 of file gim_math.h.

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

Definition at line 99 of file gim_math.h.

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

Definition at line 93 of file gim_math.h.

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

Definition at line 96 of file gim_math.h.

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

Definition at line 94 of file gim_math.h.

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

Definition at line 97 of file gim_math.h.

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

Definition at line 105 of file gim_math.h.

#define GIM_SIR | ( |  | x | ) | ((GINT&)(x))

Signed integer representation of a floating-point value.

Definition at line 85 of file gim_math.h.

#define GIM_SQRT | ( |  | va,
|  |  | sva
| ) |  |

Value:
{\
GIM_INV_SQRT(va,sva);\
sva = 1.0f/sva;\
}\
GIM_INV_SQRT
#define GIM_INV_SQRT(va, isva)
Definition: gim_math.h:119

Definition at line 134 of file gim_math.h.

#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.

#define GINT int

Definition at line 41 of file gim_math.h.

#define GINT64 long long

Definition at line 45 of file gim_math.h.

#define GREAL btScalar

Definition at line 39 of file gim_math.h.

#define GREAL2 double

Definition at line 40 of file gim_math.h.

#define GSHORT short

Definition at line 43 of file gim_math.h.

#define GUINT unsigned int

Definition at line 42 of file gim_math.h.

#define GUINT64 unsigned long long

Definition at line 46 of file gim_math.h.

#define GUSHORT unsigned short

Definition at line 44 of file gim_math.h.

## Enumeration Type Documentation

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 64 of file gim_math.h.

## Function Documentation

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.

GREAL gim_sqrt | ( | GREAL | f | ) |
| inline

Definition at line 148 of file gim_math.h.