| Irrlicht 3D Engine |

Classes | Namespaces | Defines | Functions | Variables
irrMath.h File Reference
`#include "IrrCompileConfig.h"`
`#include "irrTypes.h"`
`#include <math.h>`
`#include <float.h>`
`#include <stdlib.h>`
`#include <limits.h>`

Go to the source code of this file.

## Classes

- union irr::core::FloatIntUnion32
- union irr::core::inttofloat

## Namespaces

- namespace irr

    Everything in the Irrlicht Engine can be found in this namespace.

- namespace irr::core

    Basic classes such as vectors, planes, arrays, lists, and so on can be found in this namespace.

## Defines

- #define AIR(x) (IR(x)&0x7fffffff)
    Absolute integer representation of a floating-point value.
- #define F32_A_GREATER_B(a, b) ((a) > (b))
- #define F32_AS_S32(f) (*((s32 *) &(f)))
- #define F32_AS_U32(f) (*((u32 *) &(f)))
- #define F32_AS_U32_POINTER(f) ( ((u32 *) &(f)))
- #define F32_EQUAL_0(n) ((n) == 0.0f)
- #define F32_EQUAL_1(n) ((n) == 1.0f)
- #define F32_EXPON_MANTISSA 0x7FFFFFFFU
- #define F32_GREATER_0(n) ((n) > 0.0f)
- #define F32_GREATER_EQUAL_0(n) ((n) >= 0.0f)
- #define F32_LOWER_0(n) ((n) < 0.0f)
- #define F32_LOWER_EQUAL_0(n) ((n) <= 0.0f)
- #define F32_SIGN_BIT 0x80000000U
- #define F32_VALUE_0 0x00000000
- #define F32_VALUE_1 0x3f800000
- #define FLT_MAX 3.402823466E+38F
- #define FLT_MIN 1.17549435e-38F
- #define IEEE_1_0 0x3f800000
    integer representation of 1.0
- #define IEEE_255_0 0x437f0000
    integer representation of 255.0
- #define REALINLINE inline

## Functions

- template<class T > T irr::core::abs_ (const T &a)
    returns abs of two values. Own implementation to get rid of STL (VS6 problems)
- REALINLINE s32 irr::core::ceil32 (f32 x)
- template<class T > const T irr::core::clamp (const T &value, const T &low, const T &high)
    clamps a value between low and high
- REALINLINE void irr::core::clearFPUException ()
- f32 irr::core::degToRad (f32 degrees)
    Utility function to convert a degrees value to radians.
- f64 irr::core::degToRad (f64 degrees)
    Utility function to convert a degrees value to radians.
- bool irr::core::equals (const f64 a, const f64 b, const f64 tolerance=ROUNDING_ERROR_f64)
    returns if a equals b, taking possible rounding errors into account
- bool irr::core::equals (const f32 a, const f32 b, const f32 tolerance=ROUNDING_ERROR_f32)
    returns if a equals b, taking possible rounding errors into account
- bool irr::core::equals (const s32 a, const s32 b, const s32 tolerance=ROUNDING_ERROR_S32)
    returns if a equals b, taking an explicit rounding tolerance into account
- bool irr::core::equals (const u32 a, const u32 b, const s32 tolerance=ROUNDING_ERROR_S32)
    returns if a equals b, taking an explicit rounding tolerance into account
- bool irr::core::equals (const s64 a, const s64 b, const s64 tolerance=ROUNDING_ERROR_S64)
    returns if a equals b, taking an explicit rounding tolerance into account
- bool irr::core::equalsByUlp (f32 a, f32 b, int maxUlpDiff)
    We compare the difference in ULP's (spacing between floating-point numbers, aka ULP=1 means there exists no float between).
- f32 irr::core::f32_max3 (const f32 a, const f32 b, const f32 c)
- f32 irr::core::f32_min3 (const f32 a, const f32 b, const f32 c)
- REALINLINE s32 irr::core::floor32 (f32 x)
- f32 irr::core::FR (u32 x)
    Floating-point representation of an integer value.
- f32 irr::core::FR (s32 x)
- f32 irr::core::fract (f32 x)
- REALINLINE u32 irr::core::if_c_a_else_0 (const s32 condition, const u32 a)
    conditional set based on mask and arithmetic shift
- REALINLINE u32 irr::core::if_c_a_else_b (const s32 condition, const u32 a, const u32 b)
    conditional set based on mask and arithmetic shift
- REALINLINE u16 irr::core::if_c_a_else_b (const s16 condition, const u16 a, const u16 b)
    conditional set based on mask and arithmetic shift
- u32 irr::core::IR (f32 x)
- bool irr::core::isnotzero (const f32 a, const f32 tolerance=ROUNDING_ERROR_f32)
    returns if a equals not zero, taking rounding errors into account
- bool irr::core::iszero (const f64 a, const f64 tolerance=ROUNDING_ERROR_f64)
    returns if a equals zero, taking rounding errors into account
- bool irr::core::iszero (const f32 a, const f32 tolerance=ROUNDING_ERROR_f32)
    returns if a equals zero, taking rounding errors into account
- bool irr::core::iszero (const s32 a, const s32 tolerance=0)
    returns if a equals zero, taking rounding errors into account
- bool irr::core::iszero (const u32 a, const u32 tolerance=0)
    returns if a equals zero, taking rounding errors into account
- bool irr::core::iszero (const s64 a, const s64 tolerance=0)
    returns if a equals zero, taking rounding errors into account
- template<class T > T irr::core::lerp (const T &a, const T &b, const f32 t)
- template<class T > const T & irr::core::max_ (const T &a, const T &b)
    returns maximum of two values. Own implementation to get rid of the STL (VS6 problems)
- template<class T > const T & irr::core::max_ (const T &a, const T &b, const T &c)
    returns maximum of three values. Own implementation to get rid of the STL (VS6 problems)
- template<class T > const T & irr::core::min_ (const T &a, const T &b)
    returns minimum of two values. Own implementation to get rid of the STL (VS6 problems)
- template<class T > const T & irr::core::min_ (const T &a, const T &b, const T &c)
    returns minimum of three values. Own implementation to get rid of the STL (VS6 problems)
- f32 irr::core::radToDeg (f32 radians)
    Utility function to convert a radian value to degrees.
- f64 irr::core::radToDeg (f64 radians)
    Utility function to convert a radian value to degrees.
- REALINLINE f32 irr::core::reciprocal (const f32 f)
- REALINLINE f64 irr::core::reciprocal (const f64 f)
- REALINLINE f32 irr::core::reciprocal_approxim (const f32 f)
- REALINLINE f64 irr::core::reciprocal_squareroot (const f64 x)
- REALINLINE f32 irr::core::reciprocal_squareroot (const f32 f)
- REALINLINE s32 irr::core::reciprocal_squareroot (const s32 x)
- REALINLINE s32 irr::core::round32 (f32 x)
- f32 irr::core::round_ (f32 x)
- s32 irr::core::s32_clamp (s32 value, s32 low, s32 high)
- s32 irr::core::s32_max (s32 a, s32 b)
- s32 irr::core::s32_min (s32 a, s32 b)
- REALINLINE void irr::core::setbit_cond (u32 &state, s32 condition, u32 mask)
- REALINLINE f32 irr::core::squareroot (const f32 f)
- REALINLINE f64 irr::core::squareroot (const f64 f)
- REALINLINE s32 irr::core::squareroot (const s32 f)
- REALINLINE s64 irr::core::squareroot (const s64 f)
- template<class T1 , class T2 > void irr::core::swap (T1 &a, T2 &b)
    swaps the content of the passed parameters

## Variables

- const f32 irr::core::DEGTORAD = PI / 180.0f
    32bit Constant for converting from degrees to radians
- const f64 irr::core::DEGTORAD64 = PI64 / 180.0
    64bit constant for converting from degrees to radians (formally known as GRAD_PI2)
- const f32 irr::core::HALF_PI = PI/2.0f
    Constant for half of PI.
- const f32 irr::core::PI = 3.14159265359f
    Constant for PI.
- const f64 irr::core::PI64 = 3.1415926535897932384626433832795028841971693993751
    Constant for 64bit PI.
- const f32 irr::core::RADTODEG = 180.0f / PI
    32bit constant for converting from radians to degrees (formally known as GRAD_PI)
- const f64 irr::core::RADTODEG64 = 180.0 / PI64
    64bit constant for converting from radians to degrees
- const f32 irr::core::RECIPROCAL_PI = 1.0f/PI
    Constant for reciprocal of PI.
- const f64 irr::core::RECIPROCAL_PI64 = 1.0/PI64
    Constant for 64bit reciprocal of PI.
- const f32 irr::core::ROUNDING_ERROR_f32 = 0.000001f
- const f64 irr::core::ROUNDING_ERROR_f64 = 0.00000001
- const s32 irr::core::ROUNDING_ERROR_S32 = 0
    Rounding error constant often used when comparing f32 values.
- const s64 irr::core::ROUNDING_ERROR_S64 = 0

## Define Documentation

#define AIR | ( |  | x | ) | (IR(x)&0x7fffffff)

Absolute integer representation of a floating-point value.

Definition at line 357 of file irrMath.h.

#define F32_A_GREATER_B | ( |  | a,
|  |  | b
| ) |  | ((a) > (b))

Definition at line 391 of file irrMath.h.

#define F32_AS_S32 | ( |  | f | ) | (*((s32 *) &(f)))

Definition at line 339 of file irrMath.h.

#define F32_AS_U32 | ( |  | f | ) | (*((u32 *) &(f)))

Definition at line 340 of file irrMath.h.

#define F32_AS_U32_POINTER | ( |  | f | ) | ( ((u32 *) &(f)))

Definition at line 341 of file irrMath.h.

#define F32_EQUAL_0 | ( |  | n | ) | ((n) == 0.0f)

Definition at line 390 of file irrMath.h.

#define F32_EQUAL_1 | ( |  | n | ) | ((n) == 1.0f)

Definition at line 389 of file irrMath.h.

#define F32_EXPON_MANTISSA 0x7FFFFFFFU

Definition at line 346 of file irrMath.h.

#define F32_GREATER_0 | ( |  | n | ) | ((n) > 0.0f)

Definition at line 387 of file irrMath.h.

#define F32_GREATER_EQUAL_0 | ( |  | n | ) | ((n) >= 0.0f)

Definition at line 388 of file irrMath.h.

#define F32_LOWER_0 | ( |  | n | ) | ((n) < 0.0f)

Definition at line 385 of file irrMath.h.

#define F32_LOWER_EQUAL_0 | ( |  | n | ) | ((n) <= 0.0f)

Definition at line 386 of file irrMath.h.

Referenced by irr::core::triangle3d< T >::isFrontFacing(), and irr::core::plane3d< f32 >::isFrontFacing().

#define F32_SIGN_BIT 0x80000000U

Definition at line 345 of file irrMath.h.

#define F32_VALUE_0 0x00000000

Definition at line 343 of file irrMath.h.

#define F32_VALUE_1 0x3f800000

Definition at line 344 of file irrMath.h.

Referenced by irr::core::CMatrix4< T >::isIdentity_integer_base().

#define FLT_MAX 3.402823466E+38F

Definition at line 31 of file irrMath.h.

Referenced by irr::core::strtof10().

#define FLT_MIN 1.17549435e-38F

Definition at line 35 of file irrMath.h.

Referenced by irr::core::CMatrix4< T >::getInverse().

#define IEEE_1_0 0x3f800000

integer representation of 1.0

Definition at line 368 of file irrMath.h.

#define IEEE_255_0 0x437f0000

integer representation of 255.0

Definition at line 370 of file irrMath.h.

#define REALINLINE inline

Definition at line 399 of file irrMath.h.