A type for representing a number with a fixed amount of precision. More...

#include <fixed_point.hpp>

Public Types
using	rep = Rep
	The representation type.

Public Member Functions
template<typename T , typename cuda::std::enable_if_t< cuda::std::is_integral_v< T > &&is_supported_representation_type< Rep >()> * = nullptr>
CUDF_HOST_DEVICE	fixed_point (T const &value, scale_type const &scale)
	Constructor that will perform shifting to store value appropriately (from integral types) More...

CUDF_HOST_DEVICE	fixed_point (scaled_integer< Rep > s)
	Constructor that will not perform shifting (assumes value already shifted) More...

template<typename T , typename cuda::std::enable_if_t< cuda::std::is_integral_v< T >> * = nullptr>
CUDF_HOST_DEVICE	fixed_point (T const &value)
	"Scale-less" constructor that constructs `fixed_point` number with a specified value and scale of zero More...

CUDF_HOST_DEVICE	fixed_point ()
	Default constructor that constructs `fixed_point` number with a value and scale of zero.

template<typename U , typename cuda::std::enable_if_t< cuda::std::is_integral_v< U >> * = nullptr>
constexpr	operator U () const
	Explicit conversion operator for casting to integral types. More...

CUDF_HOST_DEVICE	operator scaled_integer< Rep > () const
	Converts the `fixed_point` number to a `scaled_integer` More...

CUDF_HOST_DEVICE rep	value () const
	Method that returns the underlying value of the `fixed_point` number. More...

CUDF_HOST_DEVICE scale_type	scale () const
	Method that returns the scale of the `fixed_point` number. More...

constexpr CUDF_HOST_DEVICE	operator bool () const
	Explicit conversion operator to `bool` More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE fixed_point< Rep1, Rad1 > &	operator+= (fixed_point< Rep1, Rad1 > const &rhs)
	operator += More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE fixed_point< Rep1, Rad1 > &	operator*= (fixed_point< Rep1, Rad1 > const &rhs)
	operator *= More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE fixed_point< Rep1, Rad1 > &	operator-= (fixed_point< Rep1, Rad1 > const &rhs)
	operator -= More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE fixed_point< Rep1, Rad1 > &	operator/= (fixed_point< Rep1, Rad1 > const &rhs)
	operator /= More...

CUDF_HOST_DEVICE fixed_point< Rep, Rad > &	operator++ ()
	operator ++ (post-increment) More...

CUDF_HOST_DEVICE fixed_point< Rep, Rad >	rescaled (scale_type scale) const
	Method for creating a `fixed_point` number with a new `scale` More...

	operator std::string () const
	Returns a string representation of the fixed_point value.

Static Public Attributes
static constexpr auto	rad = Rad
	The base.

Friends
template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE friend fixed_point< Rep1, Rad1 >	operator+ (fixed_point< Rep1, Rad1 > const &lhs, fixed_point< Rep1, Rad1 > const &rhs)
	operator + (for adding two `fixed_point` numbers) More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE friend fixed_point< Rep1, Rad1 >	operator- (fixed_point< Rep1, Rad1 > const &lhs, fixed_point< Rep1, Rad1 > const &rhs)
	operator - (for subtracting two `fixed_point` numbers) More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE friend fixed_point< Rep1, Rad1 >	operator* (fixed_point< Rep1, Rad1 > const &lhs, fixed_point< Rep1, Rad1 > const &rhs)
	operator * (for multiplying two `fixed_point` numbers) More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE friend fixed_point< Rep1, Rad1 >	operator/ (fixed_point< Rep1, Rad1 > const &lhs, fixed_point< Rep1, Rad1 > const &rhs)
	operator / (for dividing two `fixed_point` numbers) More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE friend fixed_point< Rep1, Rad1 >	operator% (fixed_point< Rep1, Rad1 > const &lhs, fixed_point< Rep1, Rad1 > const &rhs)
	operator % (for computing the modulo operation of two `fixed_point` numbers) More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE friend bool	operator== (fixed_point< Rep1, Rad1 > const &lhs, fixed_point< Rep1, Rad1 > const &rhs)
	operator == (for comparing two `fixed_point` numbers) More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE friend bool	operator!= (fixed_point< Rep1, Rad1 > const &lhs, fixed_point< Rep1, Rad1 > const &rhs)
	operator != (for comparing two `fixed_point` numbers) More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE friend bool	operator<= (fixed_point< Rep1, Rad1 > const &lhs, fixed_point< Rep1, Rad1 > const &rhs)
	operator <= (for comparing two `fixed_point` numbers) More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE friend bool	operator>= (fixed_point< Rep1, Rad1 > const &lhs, fixed_point< Rep1, Rad1 > const &rhs)
	operator >= (for comparing two `fixed_point` numbers) More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE friend bool	operator< (fixed_point< Rep1, Rad1 > const &lhs, fixed_point< Rep1, Rad1 > const &rhs)
	operator < (for comparing two `fixed_point` numbers) More...

template<typename Rep1 , Radix Rad1>
CUDF_HOST_DEVICE friend bool	operator> (fixed_point< Rep1, Rad1 > const &lhs, fixed_point< Rep1, Rad1 > const &rhs)
	operator > (for comparing two `fixed_point` numbers) More...

Detailed Description

template<typename Rep, Radix Rad>
class numeric::fixed_point< Rep, Rad >

A type for representing a number with a fixed amount of precision.

Currently, only binary and decimal fixed_point numbers are supported. Binary operations can only be performed with other fixed_point numbers

Template Parameters

Rep	The representation type (either `int32_t` or `int64_t`)
Rad	The radix/base (either `Radix::BASE_2` or `Radix::BASE_10`)

Definition at line 208 of file fixed_point.hpp.

Constructor & Destructor Documentation

◆ fixed_point() [1/3]

template<typename Rep , Radix Rad>

template<typename T , typename cuda::std::enable_if_t< cuda::std::is_integral_v< T > &&is_supported_representation_type< Rep >()> * = nullptr>

CUDF_HOST_DEVICE numeric::fixed_point< Rep, Rad >::fixed_point	(	T const &	value,
		scale_type const &	scale
	)

inlineexplicit

Constructor that will perform shifting to store value appropriately (from integral types)

Template Parameters

T	The integral type that you are constructing from

Parameters

value	The value that will be constructed from
scale	The exponent that is applied to Rad to perform shifting

Definition at line 227 of file fixed_point.hpp.

◆ fixed_point() [2/3]

template<typename Rep , Radix Rad>

CUDF_HOST_DEVICE numeric::fixed_point< Rep, Rad >::fixed_point ( scaled_integer< Rep > s )

inlineexplicit

Constructor that will not perform shifting (assumes value already shifted)

Parameters

s	scaled_integer that contains scale and already shifted value

Definition at line 239 of file fixed_point.hpp.

◆ fixed_point() [3/3]

template<typename Rep , Radix Rad>

template<typename T , typename cuda::std::enable_if_t< cuda::std::is_integral_v< T >> * = nullptr>

CUDF_HOST_DEVICE numeric::fixed_point< Rep, Rad >::fixed_point ( T const & value )

inline

"Scale-less" constructor that constructs fixed_point number with a specified value and scale of zero

Template Parameters

T	The value type being constructing from

Parameters

value The value that will be constructed from

Definition at line 252 of file fixed_point.hpp.

Member Function Documentation

◆ operator bool()

template<typename Rep , Radix Rad>

constexpr CUDF_HOST_DEVICE numeric::fixed_point< Rep, Rad >::operator bool ( ) const

inlineexplicitconstexpr

Explicit conversion operator to bool

Returns: The fixed_point value as a boolean (zero is false, nonzero is true)

Definition at line 308 of file fixed_point.hpp.

◆ operator scaled_integer< Rep >()

template<typename Rep , Radix Rad>

CUDF_HOST_DEVICE numeric::fixed_point< Rep, Rad >::operator scaled_integer< Rep > ( ) const

inline

Converts the fixed_point number to a scaled_integer

Returns: The scaled_integer representation of the fixed_point number

Definition at line 284 of file fixed_point.hpp.

◆ operator U()

template<typename Rep , Radix Rad>

template<typename U , typename cuda::std::enable_if_t< cuda::std::is_integral_v< U >> * = nullptr>

constexpr numeric::fixed_point< Rep, Rad >::operator U ( ) const

inlineexplicitconstexpr

Explicit conversion operator for casting to integral types.

Template Parameters

U	The integral type that is being explicitly converted to

Returns: The fixed_point number in base 10 (aka human readable format)

Definition at line 270 of file fixed_point.hpp.

◆ operator*=()

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE fixed_point<Rep1, Rad1>& numeric::fixed_point< Rep, Rad >::operator*= ( fixed_point< Rep1, Rad1 > const & rhs )

inline

operator *=

Template Parameters

Rep1	Representation type of the operand `rhs`
Rad1	Radix (base) type of the operand `rhs`

Parameters

rhs	The number being multiplied to `this`

Returns: The product

Definition at line 337 of file fixed_point.hpp.

◆ operator++()

template<typename Rep , Radix Rad>

CUDF_HOST_DEVICE fixed_point<Rep, Rad>& numeric::fixed_point< Rep, Rad >::operator++ ( )

inline

operator ++ (post-increment)

Returns: The incremented result

Definition at line 378 of file fixed_point.hpp.

◆ operator+=()

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE fixed_point<Rep1, Rad1>& numeric::fixed_point< Rep, Rad >::operator+= ( fixed_point< Rep1, Rad1 > const & rhs )

inline

operator +=

Template Parameters

Rep1	Representation type of the operand `rhs`
Rad1	Radix (base) type of the operand `rhs`

Parameters

rhs	The number being added to `this`

Returns: The sum

Definition at line 322 of file fixed_point.hpp.

◆ operator-=()

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE fixed_point<Rep1, Rad1>& numeric::fixed_point< Rep, Rad >::operator-= ( fixed_point< Rep1, Rad1 > const & rhs )

inline

operator -=

Template Parameters

Rep1	Representation type of the operand `rhs`
Rad1	Radix (base) type of the operand `rhs`

Parameters

rhs	The number being subtracted from `this`

Returns: The difference

Definition at line 352 of file fixed_point.hpp.

◆ operator/=()

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE fixed_point<Rep1, Rad1>& numeric::fixed_point< Rep, Rad >::operator/= ( fixed_point< Rep1, Rad1 > const & rhs )

inline

operator /=

Template Parameters

Rep1	Representation type of the operand `rhs`
Rad1	Radix (base) type of the operand `rhs`

Parameters

rhs	The number being divided from `this`

Returns: The quotient

Definition at line 367 of file fixed_point.hpp.

◆ rescaled()

template<typename Rep , Radix Rad>

CUDF_HOST_DEVICE fixed_point<Rep, Rad> numeric::fixed_point< Rep, Rad >::rescaled ( scale_type scale ) const

inline

Method for creating a fixed_point number with a new scale

The fixed_point number returned will have the same value, underlying representation and radix as this, the only thing changed is the scale.

Parameters

scale The scale of the returned fixed_point number

Returns: fixed_point number with a new scale

Definition at line 576 of file fixed_point.hpp.

◆ scale()

template<typename Rep , Radix Rad>

CUDF_HOST_DEVICE scale_type numeric::fixed_point< Rep, Rad >::scale ( ) const

inline

Method that returns the scale of the fixed_point number.

Returns: The scale of the fixed_point number

Definition at line 301 of file fixed_point.hpp.

◆ value()

template<typename Rep , Radix Rad>

CUDF_HOST_DEVICE rep numeric::fixed_point< Rep, Rad >::value ( ) const

inline

Method that returns the underlying value of the fixed_point number.

Returns: The underlying value of the fixed_point number

Definition at line 294 of file fixed_point.hpp.

Friends And Related Function Documentation

◆ operator!=

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE friend bool operator!=	(	fixed_point< Rep1, Rad1 > const &	lhs,
		fixed_point< Rep1, Rad1 > const &	rhs
	)

friend

operator != (for comparing two fixed_point numbers)

If _scales are equal, _values are compared. If _scales are not equal, the number with the larger _scale is shifted to the smaller _scale, and then the _values are compared.

Template Parameters

Rep1	Representation type of the operand `lhs` and `rhs`
Rad1	Radix (base) type of the operand `lhs` and `rhs`

Parameters

lhs	The left hand side operand
rhs	The right hand side operand

Returns: true if lhs and rhs are not equal, false if not

Definition at line 744 of file fixed_point.hpp.

◆ operator%

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE friend fixed_point<Rep1, Rad1> operator%	(	fixed_point< Rep1, Rad1 > const &	lhs,
		fixed_point< Rep1, Rad1 > const &	rhs
	)

friend

operator % (for computing the modulo operation of two fixed_point numbers)

If _scales are equal, the modulus is computed directly. If _scales are not equal, the number with larger _scale is shifted to the smaller _scale, and then the modulus is computed.

Template Parameters

Rep1	Representation type of the operand `lhs` and `rhs`
Rad1	Radix (base) type of the operand `lhs` and `rhs`

Parameters

lhs	The left hand side operand
rhs	The right hand side operand

Returns: The resulting fixed_point number

Definition at line 789 of file fixed_point.hpp.

◆ operator*

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE friend fixed_point<Rep1, Rad1> operator*	(	fixed_point< Rep1, Rad1 > const &	lhs,
		fixed_point< Rep1, Rad1 > const &	rhs
	)

friend

operator * (for multiplying two fixed_point numbers)

_scales are added and _values are multiplied.

Template Parameters

Rep1	Representation type of the operand `lhs` and `rhs`
Rad1	Radix (base) type of the operand `lhs` and `rhs`

Parameters

lhs	The left hand side operand
rhs	The right hand side operand

Returns: The resulting fixed_point product

Definition at line 705 of file fixed_point.hpp.

◆ operator+

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE friend fixed_point<Rep1, Rad1> operator+	(	fixed_point< Rep1, Rad1 > const &	lhs,
		fixed_point< Rep1, Rad1 > const &	rhs
	)

friend

operator + (for adding two fixed_point numbers)

If _scales are equal, _values are added. If _scales are not equal, the number with the larger _scale is shifted to the smaller _scale, and then the _values are added.

Template Parameters

Rep1	Representation type of the operand `lhs` and `rhs`
Rad1	Radix (base) type of the operand `lhs` and `rhs`

Parameters

lhs	The left hand side operand
rhs	The right hand side operand

Returns: The resulting fixed_point sum

Definition at line 669 of file fixed_point.hpp.

◆ operator-

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE friend fixed_point<Rep1, Rad1> operator-	(	fixed_point< Rep1, Rad1 > const &	lhs,
		fixed_point< Rep1, Rad1 > const &	rhs
	)

friend

operator - (for subtracting two fixed_point numbers)

If _scales are equal, _values are subtracted. If _scales are not equal, the number with the larger _scale is shifted to the smaller _scale, and then the _values are subtracted.

Template Parameters

Rep1	Representation type of the operand `lhs` and `rhs`
Rad1	Radix (base) type of the operand `lhs` and `rhs`

Parameters

lhs	The left hand side operand
rhs	The right hand side operand

Returns: The resulting fixed_point difference

Definition at line 687 of file fixed_point.hpp.

◆ operator/

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE friend fixed_point<Rep1, Rad1> operator/	(	fixed_point< Rep1, Rad1 > const &	lhs,
		fixed_point< Rep1, Rad1 > const &	rhs
	)

friend

operator / (for dividing two fixed_point numbers)

_scales are subtracted and _values are divided.

Template Parameters

Rep1	Representation type of the operand `lhs` and `rhs`
Rad1	Radix (base) type of the operand `lhs` and `rhs`

Parameters

lhs	The left hand side operand
rhs	The right hand side operand

Returns: The resulting fixed_point quotient

Definition at line 720 of file fixed_point.hpp.

◆ operator<

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE friend bool operator<	(	fixed_point< Rep1, Rad1 > const &	lhs,
		fixed_point< Rep1, Rad1 > const &	rhs
	)

friend

operator < (for comparing two fixed_point numbers)

If _scales are equal, _values are compared. If _scales are not equal, the number with the larger _scale is shifted to the smaller _scale, and then the _values are compared.

Template Parameters

Rep1	Representation type of the operand `lhs` and `rhs`
Rad1	Radix (base) type of the operand `lhs` and `rhs`

Parameters

lhs	The left hand side operand
rhs	The right hand side operand

Returns: true if lhs less than rhs, false if not

Definition at line 771 of file fixed_point.hpp.

◆ operator<=

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE friend bool operator<=	(	fixed_point< Rep1, Rad1 > const &	lhs,
		fixed_point< Rep1, Rad1 > const &	rhs
	)

friend

operator <= (for comparing two fixed_point numbers)

If _scales are equal, _values are compared. If _scales are not equal, the number with the larger _scale is shifted to the smaller _scale, and then the _values are compared.

Template Parameters

Rep1	Representation type of the operand `lhs` and `rhs`
Rad1	Radix (base) type of the operand `lhs` and `rhs`

Parameters

lhs	The left hand side operand
rhs	The right hand side operand

Returns: true if lhs less than or equal to rhs, false if not

Definition at line 753 of file fixed_point.hpp.

◆ operator==

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE friend bool operator==	(	fixed_point< Rep1, Rad1 > const &	lhs,
		fixed_point< Rep1, Rad1 > const &	rhs
	)

friend

operator == (for comparing two fixed_point numbers)

If _scales are equal, _values are compared. If _scales are not equal, the number with the larger _scale is shifted to the smaller _scale, and then the _values are compared.

Template Parameters

Rep1	Representation type of the operand `lhs` and `rhs`
Rad1	Radix (base) type of the operand `lhs` and `rhs`

Parameters

lhs	The left hand side operand
rhs	The right hand side operand

Returns: true if lhs and rhs are equal, false if not

Definition at line 735 of file fixed_point.hpp.

◆ operator>

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE friend bool operator>	(	fixed_point< Rep1, Rad1 > const &	lhs,
		fixed_point< Rep1, Rad1 > const &	rhs
	)

friend

operator > (for comparing two fixed_point numbers)

If _scales are equal, _values are compared. If _scales are not equal, the number with the larger _scale is shifted to the smaller _scale, and then the _values are compared.

Template Parameters

Rep1	Representation type of the operand `lhs` and `rhs`
Rad1	Radix (base) type of the operand `lhs` and `rhs`

Parameters

lhs	The left hand side operand
rhs	The right hand side operand

Returns: true if lhs greater than rhs, false if not

Definition at line 780 of file fixed_point.hpp.

◆ operator>=

template<typename Rep , Radix Rad>

template<typename Rep1 , Radix Rad1>

CUDF_HOST_DEVICE friend bool operator>=	(	fixed_point< Rep1, Rad1 > const &	lhs,
		fixed_point< Rep1, Rad1 > const &	rhs
	)

friend

operator >= (for comparing two fixed_point numbers)

If _scales are equal, _values are compared. If _scales are not equal, the number with the larger _scale is shifted to the smaller _scale, and then the _values are compared.

Template Parameters

Rep1	Representation type of the operand `lhs` and `rhs`
Rad1	Radix (base) type of the operand `lhs` and `rhs`

Parameters

lhs	The left hand side operand
rhs	The right hand side operand

Returns: true if lhs greater than or equal to rhs, false if not

Definition at line 762 of file fixed_point.hpp.

The documentation for this class was generated from the following file:

fixed_point.hpp

Public Types

Public Member Functions

Static Public Attributes

Friends

Detailed Description

template<typename Rep, Radix Rad> class numeric::fixed_point< Rep, Rad >

Constructor & Destructor Documentation

◆ fixed_point() [1/3]

◆ fixed_point() [2/3]

◆ fixed_point() [3/3]

Member Function Documentation

◆ operator bool()

◆ operator scaled_integer< Rep >()

◆ operator U()

◆ operator*=()

◆ operator++()

◆ operator+=()

◆ operator-=()

◆ operator/=()

◆ rescaled()

◆ scale()

◆ value()

Friends And Related Function Documentation

◆ operator!=

◆ operator%

◆ operator*

◆ operator+

◆ operator-

◆ operator/

◆ operator<

◆ operator<=

◆ operator==

◆ operator>

◆ operator>=

template<typename Rep, Radix Rad>
class numeric::fixed_point< Rep, Rad >