#include <pre_fdec.hpp>

Public Types
using	this_type = PreFDec<VT>

using	dual_type = PreFInc<VT>

using	value_type = VT

using	increasing_type = dual_type

Static Public Member Functions
CUDA static constexpr value_type	zero ()

CUDA static constexpr value_type	one ()

template<bool diagnose, class F >
static CUDA bool	interpret_tell (const F &f, value_type &tell, IDiagnostics &diagnostics)

template<bool diagnose, class F >
static CUDA bool	interpret_ask (const F &f, value_type &ask, IDiagnostics &diagnostics)

template<bool diagnose, class F >
static CUDA bool	interpret_type (const F &f, value_type &k, IDiagnostics &diagnostics)

template<class F >
static CUDA F	deinterpret (const value_type &v)

static CUDA constexpr Sig	sig_order ()

static CUDA constexpr Sig	sig_strict_order ()

static CUDA constexpr value_type	bot ()

static CUDA constexpr value_type	top ()

static CUDA constexpr value_type	join (value_type x, value_type y)

static CUDA constexpr value_type	meet (value_type x, value_type y)

static CUDA constexpr bool	order (value_type x, value_type y)

static CUDA constexpr bool	strict_order (value_type x, value_type y)

static CUDA constexpr value_type	next (value_type x)

static CUDA constexpr value_type	prev (value_type x)

static CUDA constexpr bool	is_supported_fun (Sig sig)

template<Sig sig>
static CUDA constexpr value_type	fun (value_type x)

template<Sig sig>
static CUDA constexpr value_type	fun (value_type x, value_type y)

Static Public Attributes
static constexpr const bool	is_totally_ordered = true

static constexpr const bool	preserve_bot = true

static constexpr const bool	preserve_top = true

static constexpr const bool	preserve_join = true

static constexpr const bool	preserve_meet = true

static constexpr const bool	injective_concretization = true

static constexpr const bool	preserve_concrete_covers = false

static constexpr const bool	complemented = false

static constexpr const bool	increasing = false

static constexpr const char *	name = "FDec"

static constexpr const bool	is_arithmetic = true

Detailed Description

template<class VT>
struct lala::PreFDec< VT >

PreFDec is a pre-abstract universe \( \langle \mathbb{F}\setminus\{NaN\}, \leq \rangle \) totally ordered by the reversed floating-point arithmetic comparison operator. We work on a subset of floating-point numbers without NaN. It is used to represent (and possibly approximate) constraints of the form \( x \leq k \) where \( k \) is a real number.

Member Typedef Documentation

◆ this_type

template<class VT >

using lala::PreFDec< VT >::this_type = PreFDec<VT>

◆ dual_type

template<class VT >

using lala::PreFDec< VT >::dual_type = PreFInc<VT>

◆ value_type

template<class VT >

using lala::PreFDec< VT >::value_type = VT

◆ increasing_type

template<class VT >

using lala::PreFDec< VT >::increasing_type = dual_type

Member Function Documentation

◆ zero()

template<class VT >

CUDA static constexpr value_type lala::PreFDec< VT >::zero ( )

inlinestaticconstexpr

◆ one()

template<class VT >

CUDA static constexpr value_type lala::PreFDec< VT >::one ( )

inlinestaticconstexpr

◆ interpret_tell()

template<class VT >

template<bool diagnose, class F >

static CUDA bool lala::PreFDec< VT >::interpret_tell	(	const F &	f,
		value_type &	tell,
		IDiagnostics &	diagnostics )

inlinestatic

◆ interpret_ask()

template<class VT >

template<bool diagnose, class F >

static CUDA bool lala::PreFDec< VT >::interpret_ask	(	const F &	f,
		value_type &	ask,
		IDiagnostics &	diagnostics )

inlinestatic

◆ interpret_type()

template<class VT >

template<bool diagnose, class F >

static CUDA bool lala::PreFDec< VT >::interpret_type	(	const F &	f,
		value_type &	k,
		IDiagnostics &	diagnostics )

inlinestatic

◆ deinterpret()

template<class VT >

template<class F >

static CUDA F lala::PreFDec< VT >::deinterpret ( const value_type & v )

inlinestatic

◆ sig_order()

template<class VT >

static CUDA constexpr Sig lala::PreFDec< VT >::sig_order ( )

inlinestaticconstexpr

◆ sig_strict_order()

template<class VT >

static CUDA constexpr Sig lala::PreFDec< VT >::sig_strict_order ( )

inlinestaticconstexpr

◆ bot()

template<class VT >

static CUDA constexpr value_type lala::PreFDec< VT >::bot ( )

inlinestaticconstexpr

◆ top()

template<class VT >

static CUDA constexpr value_type lala::PreFDec< VT >::top ( )

inlinestaticconstexpr

◆ join()

template<class VT >

static CUDA constexpr value_type lala::PreFDec< VT >::join	(	value_type	x,
		value_type	y )

inlinestaticconstexpr

◆ meet()

template<class VT >

static CUDA constexpr value_type lala::PreFDec< VT >::meet	(	value_type	x,
		value_type	y )

inlinestaticconstexpr

◆ order()

template<class VT >

static CUDA constexpr bool lala::PreFDec< VT >::order	(	value_type	x,
		value_type	y )

inlinestaticconstexpr

◆ strict_order()

template<class VT >

static CUDA constexpr bool lala::PreFDec< VT >::strict_order	(	value_type	x,
		value_type	y )

inlinestaticconstexpr

◆ next()

template<class VT >

static CUDA constexpr value_type lala::PreFDec< VT >::next ( value_type x )

inlinestaticconstexpr

◆ prev()

template<class VT >

static CUDA constexpr value_type lala::PreFDec< VT >::prev ( value_type x )

inlinestaticconstexpr

◆ is_supported_fun()

template<class VT >

static CUDA constexpr bool lala::PreFDec< VT >::is_supported_fun ( Sig sig )

inlinestaticconstexpr

◆ fun() [1/2]

template<class VT >

template<Sig sig>

static CUDA constexpr value_type lala::PreFDec< VT >::fun ( value_type x )

inlinestaticconstexpr

◆ fun() [2/2]

template<class VT >

template<Sig sig>

static CUDA constexpr value_type lala::PreFDec< VT >::fun	(	value_type	x,
		value_type	y )

inlinestaticconstexpr

Member Data Documentation

◆ is_totally_ordered

template<class VT >

constexpr const bool lala::PreFDec< VT >::is_totally_ordered = true

staticconstexpr

◆ preserve_bot

template<class VT >

constexpr const bool lala::PreFDec< VT >::preserve_bot = true

staticconstexpr

◆ preserve_top

template<class VT >

constexpr const bool lala::PreFDec< VT >::preserve_top = true

staticconstexpr

◆ preserve_join

template<class VT >

constexpr const bool lala::PreFDec< VT >::preserve_join = true

staticconstexpr

◆ preserve_meet

template<class VT >

constexpr const bool lala::PreFDec< VT >::preserve_meet = true

staticconstexpr

◆ injective_concretization

template<class VT >

constexpr const bool lala::PreFDec< VT >::injective_concretization = true

staticconstexpr

Note that -0 and +0 are treated as the same element.

◆ preserve_concrete_covers

template<class VT >

constexpr const bool lala::PreFDec< VT >::preserve_concrete_covers = false

staticconstexpr

◆ complemented

template<class VT >

constexpr const bool lala::PreFDec< VT >::complemented = false

staticconstexpr

◆ increasing

template<class VT >

constexpr const bool lala::PreFDec< VT >::increasing = false

staticconstexpr

◆ name

template<class VT >

constexpr const char* lala::PreFDec< VT >::name = "FDec"

staticconstexpr

◆ is_arithmetic

template<class VT >

constexpr const bool lala::PreFDec< VT >::is_arithmetic = true

staticconstexpr

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

include/lala/universes/pre_fdec.hpp

Public Types

Static Public Member Functions

Static Public Attributes

Detailed Description

Member Typedef Documentation

◆ this_type

◆ dual_type

◆ value_type

◆ increasing_type

Member Function Documentation

◆ zero()

◆ one()

◆ interpret_tell()

◆ interpret_ask()

◆ interpret_type()

◆ deinterpret()

◆ sig_order()

◆ sig_strict_order()

◆ bot()

◆ top()

◆ join()

◆ meet()

◆ order()

◆ strict_order()

◆ next()

◆ prev()

◆ is_supported_fun()

◆ fun() [1/2]

◆ fun() [2/2]

Member Data Documentation

◆ is_totally_ordered

◆ preserve_bot

◆ preserve_top

◆ preserve_join

◆ preserve_meet

◆ injective_concretization

◆ preserve_concrete_covers

◆ complemented

◆ increasing

◆ name

◆ is_arithmetic