maxon Math

Detailed Description

Classes
class	LIMIT< T >
class	LIMIT< Int64 >
class	LIMIT< UInt64 >
class	LIMIT< Int32 >
class	LIMIT< UInt32 >
class	LIMIT< Int16 >
class	LIMIT< UInt16 >
class	LIMIT< Char >
class	LIMIT< UChar >
class	LIMIT< Float32 >
class	LIMIT< Float64 >

Macros
#define	SIZEOF(...)

Functions
Float32	Clamp01 (Float32 a)
Float64	Clamp01 (Float64 a)
Float32	Sin (Float32 val)
Float64	Sin (Float64 val)
Float32	Cos (Float32 val)
Float64	Cos (Float64 val)
Float32	Tan (Float32 val)
Float64	Tan (Float64 val)
Float32	ATan (Float32 val)
Float64	ATan (Float64 val)
Float32	ATan2 (Float32 valY, Float32 valX)
Float64	ATan2 (Float64 valY, Float64 valX)
Float32	Exp (Float32 val)
Float64	Exp (Float64 val)
Float32	Ln (Float32 val)
Float64	Ln (Float64 val)
Float32	Log10 (Float32 val)
Float64	Log10 (Float64 val)
Float32	Log2 (Float32 val)
Float64	Log2 (Float64 val)
Float32	Sqrt (Float32 val)
Float64	Sqrt (Float64 val)
Float32	Floor (Float32 val)
Float64	Floor (Float64 val)
Float32	Ceil (Float32 val)
Float64	Ceil (Float64 val)
Float32	Modf (Float32 val, Float32 *intpart)
Float64	Modf (Float64 val, Float64 *intpart)
Float32	Pow (Float32 v1, Float32 v2)
Float64	Pow (Float64 v1, Float64 v2)
Float32	Sinh (Float32 val)
Float64	Sinh (Float64 val)
Float32	Cosh (Float32 val)
Float64	Cosh (Float64 val)
Float32	Tanh (Float32 val)
Float64	Tanh (Float64 val)
Float32	FMod (Float32 v1, Float32 v2)
Float64	FMod (Float64 v1, Float64 v2)
Float32	Abs (Float32 val)
Float64	Abs (Float64 val)
Float32	Inverse (Float32 f)
Float64	Inverse (Float64 f)
Float32	Round (Float32 f)
Float64	Round (Float64 f)
template<typename X >
X	Abs (X f)
template<typename X >
X	Min (X a, X b)
template<typename X >
X	Max (X a, X b)
template<typename X >
void	Swap (X &a, X &b)
template<typename X >
X	ClampValue (X value, X lowerLimit, X upperLimit)
Float32	Blend (Float32 value1, Float32 value2, Float32 blendValue)
Float64	Blend (Float64 value1, Float64 value2, Float64 blendValue)
template<typename X >
X	Sqr (X a, X b)
template<typename X >
X	Sqr (X a)
Float32	ASin (Float32 val)
Float64	ASin (Float64 val)
Float32	ACos (Float32 val)
Float64	ACos (Float64 val)
Float32	DegToRad (Float32 r)
Float64	DegToRad (Float64 r)
Float32	RadToDeg (Float32 r)
Float64	RadToDeg (Float64 r)
void	SinCos (Float32 r, Float32 &sn, Float32 &cs)
void	SinCos (Float64 r, Float64 &sn, Float64 &cs)
Int32	SAFEINT32 (Float32 x)
Int32	SAFEINT32 (Float64 x)
Int64	SAFEINT64 (Float32 x)
Int64	SAFEINT64 (Float64 x)
Int	SAFEINT (Float64 x)
Int	SAFEINT (Float32 x)
template<typename T >
void	SetMax (T &a, const T &b)
template<typename T >
void	SetMin (T &a, const T &b)

Variables
static constexpr Float32	MINVALUE_FLOAT32
static constexpr Float32	MAXVALUE_FLOAT32
static constexpr Float64	MINVALUE_FLOAT64
static constexpr Float64	MAXVALUE_FLOAT64
static constexpr Float32	MINVALUE_INT32_FLOAT32
static constexpr Float32	MAXVALUE_INT32_FLOAT32
static constexpr Float64	MINVALUE_INT64_FLOAT64
static constexpr Float64	MAXVALUE_INT64_FLOAT64
static constexpr Float32	MINRANGE_FLOAT32
static constexpr Float32	MAXRANGE_FLOAT32
static constexpr Float64	MINRANGE_FLOAT64
static constexpr Float64	MAXRANGE_FLOAT64
static constexpr Float	MINVALUE_FLOAT
static constexpr Float	MAXVALUE_FLOAT
static constexpr Float	MINRANGE_FLOAT
static constexpr Float	MAXRANGE_FLOAT
static constexpr Int	NOTOK
static constexpr Float64	PI
static constexpr Float64	PI_INV
static constexpr Float64	PI2
static constexpr Float64	PI2_INV
static constexpr Float64	PI05
static constexpr Float64	PI05_INV
static constexpr Float64	PI15
static constexpr Float64	PI15_INV

Macro Definition Documentation

SIZEOF

#define SIZEOF

(

...

)

Calculates the size of a datatype or element.

Function Documentation

Clamp01() [1/2]

Float32 Clamp01

(

Float32

a

)

Clip a floating point number against the lower limit 0 and the upper limit 1. The result will be returned.

Clamp01() [2/2]

Float64 Clamp01

(

Float64

a

)

Clip a floating point number against the lower limit 0 and the upper limit 1. The result will be returned.

Sin() [1/2]

Float32 Sin

(

Float32

val

)

Sin() [2/2]

Float64 Sin

(

Float64

val

)

Cos() [1/2]

Float32 Cos

(

Float32

val

)

Cos() [2/2]

Float64 Cos

(

Float64

val

)

Tan() [1/2]

Float32 Tan

(

Float32

val

)

Tan() [2/2]

Float64 Tan

(

Float64

val

)

ATan() [1/2]

Float32 ATan

(

Float32

val

)

ATan() [2/2]

Float64 ATan

(

Float64

val

)

ATan2() [1/2]

Float32 ATan2	(	Float32	valY,
		Float32	valX
	)

ATan2() [2/2]

Float64 ATan2	(	Float64	valY,
		Float64	valX
	)

Exp() [1/2]

Float32 Exp

(

Float32

val

)

Exp() [2/2]

Float64 Exp

(

Float64

val

)

Ln() [1/2]

Float32 Ln

(

Float32

val

)

Ln() [2/2]

Float64 Ln

(

Float64

val

)

Log10() [1/2]

Float32 Log10

(

Float32

val

)

Log10() [2/2]

Float64 Log10

(

Float64

val

)

Log2() [1/2]

Float32 Log2

(

Float32

val

)

Log2() [2/2]

Float64 Log2

(

Float64

val

)

Sqrt() [1/2]

Float32 Sqrt

(

Float32

val

)

Sqrt() [2/2]

Float64 Sqrt

(

Float64

val

)

Floor() [1/2]

Float32 Floor

(

Float32

val

)

Floor() [2/2]

Float64 Floor

(

Float64

val

)

Ceil() [1/2]

Float32 Ceil

(

Float32

val

)

Ceil() [2/2]

Float64 Ceil

(

Float64

val

)

Modf() [1/2]

Float32 Modf	(	Float32	val,
		Float32 *	intpart
	)

Modf() [2/2]

Float64 Modf	(	Float64	val,
		Float64 *	intpart
	)

Pow() [1/2]

Float32 Pow	(	Float32	v1,
		Float32	v2
	)

Pow() [2/2]

Float64 Pow	(	Float64	v1,
		Float64	v2
	)

Sinh() [1/2]

Float32 Sinh

(

Float32

val

)

Sinh() [2/2]

Float64 Sinh

(

Float64

val

)

Cosh() [1/2]

Float32 Cosh

(

Float32

val

)

Cosh() [2/2]

Float64 Cosh

(

Float64

val

)

Tanh() [1/2]

Float32 Tanh

(

Float32

val

)

Tanh() [2/2]

Float64 Tanh

(

Float64

val

)

FMod() [1/2]

Float32 FMod	(	Float32	v1,
		Float32	v2
	)

FMod() [2/2]

Float64 FMod	(	Float64	v1,
		Float64	v2
	)

Abs() [1/3]

Float32 Abs

(

Float32

val

)

Abs() [2/3]

Float64 Abs

(

Float64

val

)

Inverse() [1/2]

Float32 Inverse

(

Float32

f

)

Calculates the reciprocal value (multiplicative inverse). If the input value is zero, zero will be returned for safety to avoid exceptions.

Inverse() [2/2]

Float64 Inverse

(

Float64

f

)

Calculates the reciprocal value (multiplicative inverse). If the input value is zero, zero will be returned for safety to avoid exceptions.

Round() [1/2]

Float32 Round

(

Float32

f

)

Rounds a floating point value

Since

R18

Round() [2/2]

Float64 Round

(

Float64

f

)

Rounds a floating point value

Since

R18

Abs() [3/3]

X Abs

(

X

f

)

Calculates the absolute value of any data type.

Min()

X Min	(	X	a,
		X	b
	)

Calculates the minimum of two values and return it.

Max()

X Max	(	X	a,
		X	b
	)

Calculates the maximum of two values and return it.

Swap()

void Swap	(	X &	a,
		X &	b
	)

Swaps two values. If available, move semantics will be used.

ClampValue()

X ClampValue	(	X	value,
		X	lowerLimit,
		X	upperLimit
	)

Clips a value against a lower and upper limit. The new value is returned.

Blend() [1/2]

Float32 Blend	(	Float32	value1,
		Float32	value2,
		Float32	blendValue
	)

Clips a value against a lower and upper limit. The new value is returned.

Blend() [2/2]

Float64 Blend	(	Float64	value1,
		Float64	value2,
		Float64	blendValue
	)

Sqr() [1/2]

X Sqr	(	X	a,
		X	b
	)

Calculates square difference of two values.

Sqr() [2/2]

X Sqr

(

X

a

)

Calculates square of a value.

ASin() [1/2]

Float32 ASin

(

Float32

val

)

Calculates arcsine. The input value is clipped for safety to avoid exceptions.

ASin() [2/2]

Float64 ASin

(

Float64

val

)

Calculates arcsine. The input value is clipped for safety to avoid exceptions.

ACos() [1/2]

Float32 ACos

(

Float32

val

)

Calculates arccosine. The input value is clipped for safety to avoid exceptions.

ACos() [2/2]

Float64 ACos

(

Float64

val

)

Calculates arccosine. The input value is clipped for safety to avoid exceptions.

DegToRad() [1/2]

Float32 DegToRad

(

Float32

r

)

Converts float value from degrees to radians.

Since

R18

DegToRad() [2/2]

Float64 DegToRad

(

Float64

r

)

Converts float value from degrees to radians.

Since

R18

RadToDeg() [1/2]

Float32 RadToDeg

(

Float32

r

)

Converts float value from radians to degrees.

Since

R18

RadToDeg() [2/2]

Float64 RadToDeg

(

Float64

r

)

Converts float value from radians to degrees.

Since

R18

SinCos() [1/2]

void SinCos	(	Float32	r,
		Float32 &	sn,
		Float32 &	cs
	)

SinCos() [2/2]

void SinCos	(	Float64	r,
		Float64 &	sn,
		Float64 &	cs
	)

SAFEINT32() [1/2]

Int32 SAFEINT32

(

Float32

x

)

Safely converts a 32 bit float value into Int32. The resulting value will be clipped against the Int32 boundaries, without raising an exception.

SAFEINT32() [2/2]

Int32 SAFEINT32

(

Float64

x

)

Safely converts a 64 bit float value into Int32. The resulting value will be clipped against the Int32 boundaries, without raising an exception.

SAFEINT64() [1/2]

Int64 SAFEINT64

(

Float32

x

)

Safely converts a 32 bit float value into Int64. The resulting value will be clipped against the Int64 boundaries, without raising an exception.

SAFEINT64() [2/2]

Int64 SAFEINT64

(

Float64

x

)

Safely converts a 64 bit float value into Int64. The resulting value will be clipped against the Int64 boundaries, without raising an exception

SAFEINT() [1/2]

Int SAFEINT

(

Float64

x

)

Safely converts a 64 bit float value into Int. The resulting value will be clipped against the Int boundaries, without raising an exception

SAFEINT() [2/2]

Int SAFEINT

(

Float32

x

)

Safely converts a 32 bit float value into Int. The resulting value will be clipped against the Int boundaries, without raising an exception

SetMax()

void SetMax	(	T &	a,
		const T &	b
	)

Assigns the maximum of two values to the first value.

Parameters

[in,out]	a	First value.
[in]	b	Second value.

SetMin()

void SetMin	(	T &	a,
		const T &	b
	)

Assigns the minimum of two values to the first value.

Parameters

[in,out]	a	First value.
[in]	b	Second value.

Variable Documentation

MINVALUE_FLOAT32

constexpr Float32 MINVALUE_FLOAT32

staticconstexpr

the minimum value a Float32 can represent

MAXVALUE_FLOAT32

constexpr Float32 MAXVALUE_FLOAT32

staticconstexpr

the maximum value a Float32 can represent

MINVALUE_FLOAT64

constexpr Float64 MINVALUE_FLOAT64

staticconstexpr

the minimum value a Float64 can represent

MAXVALUE_FLOAT64

constexpr Float64 MAXVALUE_FLOAT64

staticconstexpr

the maximum value a Float64 can represent

MINVALUE_INT32_FLOAT32

constexpr Float32 MINVALUE_INT32_FLOAT32

staticconstexpr

minimum Float32 value that can be represented by Int32 (-0x7FFFFF80). Lower values will results in an overflow

MAXVALUE_INT32_FLOAT32

constexpr Float32 MAXVALUE_INT32_FLOAT32

staticconstexpr

maximum Float32 value that can be represented by Int32 ( 0x7FFFFF80). Higher values will results in an overflow

MINVALUE_INT64_FLOAT64

constexpr Float64 MINVALUE_INT64_FLOAT64

staticconstexpr

minimum Float64 value that can be represented by Int64 (-0x7ffffffffffffdff). Lower values will results in an overflow

MAXVALUE_INT64_FLOAT64

constexpr Float64 MAXVALUE_INT64_FLOAT64

staticconstexpr

maximum Float64 value that can be represented by Int64 ( 0x7ffffffffffffdff). Higher values will results in an overflow

MINRANGE_FLOAT32

constexpr Float32 MINRANGE_FLOAT32

staticconstexpr

'safe' minimum range for Float32. Guarantees that multiplication of two numbers doesn't produce an overflow

MAXRANGE_FLOAT32

constexpr Float32 MAXRANGE_FLOAT32

staticconstexpr

'safe' maximum range for Float32. Guarantees that multiplication of two numbers doesn't produce an overflow

MINRANGE_FLOAT64

constexpr Float64 MINRANGE_FLOAT64

staticconstexpr

'safe' minimum range for Float. Guarantees that multiplication of two numbers doesn't produce an overflow

MAXRANGE_FLOAT64

constexpr Float64 MAXRANGE_FLOAT64

staticconstexpr

'safe' maximum range for Float. Guarantees that multiplication of two numbers doesn't produce an overflow

MINVALUE_FLOAT

constexpr Float MINVALUE_FLOAT

staticconstexpr

the minimum value a Float can represent

MAXVALUE_FLOAT

constexpr Float MAXVALUE_FLOAT

staticconstexpr

the maximum value a Float can represent

MINRANGE_FLOAT

constexpr Float MINRANGE_FLOAT

staticconstexpr

'safe' minimum range for Float64. Guarantees that multiplication of two numbers doesn't produce an overflow

MAXRANGE_FLOAT

constexpr Float MAXRANGE_FLOAT

staticconstexpr

'safe' maximum range for Float64. Guarantees that multiplication of two numbers doesn't produce an overflow

NOTOK

constexpr Int NOTOK

staticconstexpr

constant used for special cases

PI

constexpr Float64 PI

staticconstexpr

floating point constant: PI

PI_INV

constexpr Float64 PI_INV

staticconstexpr

floating point constant: 1.0 / PI

PI2

constexpr Float64 PI2

staticconstexpr

floating point constant: 2.0 * PI

PI2_INV

constexpr Float64 PI2_INV

staticconstexpr

floating point constant: 1.0 / (2.0 * PI)

PI05

constexpr Float64 PI05

staticconstexpr

floating point constant: 0.5 * PI

PI05_INV

constexpr Float64 PI05_INV

staticconstexpr

floating point constant: 1.0 / (0.5 * PI)

PI15

constexpr Float64 PI15

staticconstexpr

floating point constant: 1.5 * PI

PI15_INV

constexpr Float64 PI15_INV

staticconstexpr

floating point constant: 1.0 / (1.5 * PI)