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#: ../Doc/library/decimal.rst:2

msgid ":mod:`decimal` --- Decimal fixed point and floating point arithmetic"

msgstr ":mod:`decimal` --- Arithmétique décimale en virgule fixe et flottante"

#: ../Doc/library/decimal.rst:15

msgid "**Source code:** :source:`Lib/decimal.py`"

msgstr "**Code source :** :source:`Lib/decimal.py`"

#: ../Doc/library/decimal.rst:28

msgid ""

"The :mod:`decimal` module provides support for fast correctly-rounded "

"decimal floating point arithmetic. It offers several advantages over the :"

"class:`float` datatype:"

msgstr ""

"Le module :mod:`decimal` fournit une arithmétique en virgule flottante "

"rapide et produisant des arrondis mathématiquement corrects. Il possède "

"plusieurs avantages en comparaison au type :class:`float` :"

#: ../Doc/library/decimal.rst:32

msgid ""

"Decimal \"is based on a floating-point model which was designed with people "

"in mind, and necessarily has a paramount guiding principle -- computers must "

"provide an arithmetic that works in the same way as the arithmetic that "

"people learn at school.\" -- excerpt from the decimal arithmetic "

"specification."

msgstr ""

"Le module ``decimal`` « est basé sur un modèle en virgule flottante conçu "

"pour les humains, qui suit ce principe directeur : l'ordinateur doit fournir "

"un modèle de calcul qui fonctionne de la même manière que le calcul qu'on "

"apprend à l'école » -- extrait (traduit) de la spécification de "

"l'arithmétique décimale."

#: ../Doc/library/decimal.rst:37

msgid ""

"Decimal numbers can be represented exactly. In contrast, numbers like :"

"const:`1.1` and :const:`2.2` do not have exact representations in binary "

"floating point. End users typically would not expect ``1.1 + 2.2`` to "

"display as :const:`3.3000000000000003` as it does with binary floating point."

msgstr ""

"Les nombres décimaux peuvent être représentés exactement en base décimale "

"flottante. En revanche, des nombres tels que :const:`1.1` ou :const:`1.2` "

"n'ont pas de représentation exacte en base binaire flottante. L'utilisateur "

"final ne s'attend typiquement pas à obtenir :const:`3.3000000000000003` "

"lorsqu'il saisit ``1.1 + 2.2``, ce qui se passe en arithmétique binaire à "

"virgule flottante."

#: ../Doc/library/decimal.rst:42

msgid ""

"The exactness carries over into arithmetic. In decimal floating point, "

"``0.1 + 0.1 + 0.1 - 0.3`` is exactly equal to zero. In binary floating "

"point, the result is :const:`5.5511151231257827e-017`. While near to zero, "

"the differences prevent reliable equality testing and differences can "

"accumulate. For this reason, decimal is preferred in accounting applications "

"which have strict equality invariants."

msgstr ""

"Ces inexactitudes ont des conséquences en arithmétique. En base décimale à "

"virgule flottante, ``0.1 + 0.1 + 0.1 - 0.3`` est exactement égal à zéro. En "

"virgule flottante binaire, l'ordinateur l'évalue à :const:"

"`5.5511151231257827e-017`. Bien que très proche de zéro, cette différence "

"induit des erreurs lors des tests d'égalité, erreurs qui peuvent "

"s'accumuler. Pour ces raisons ``decimal`` est le module utilisé pour des "

"applications comptables ayant des contraintes strictes de fiabilité."

#: ../Doc/library/decimal.rst:49

msgid ""

"The decimal module incorporates a notion of significant places so that "

"``1.30 + 1.20`` is :const:`2.50`. The trailing zero is kept to indicate "

"significance. This is the customary presentation for monetary applications. "

"For multiplication, the \"schoolbook\" approach uses all the figures in the "

"multiplicands. For instance, ``1.3 * 1.2`` gives :const:`1.56` while ``1.30 "

"* 1.20`` gives :const:`1.5600`."

msgstr ""

"Le module ``decimal`` incorpore la notion de chiffres significatifs, tels "

"que ``1.30 + 1.20`` est égal à :const:`2.50`. Le dernier zéro n'est conservé "

"que pour respecter le nombre de chiffres significatifs. C'est également "

"l'affichage préféré pour représenter des sommes d'argent. Pour la "

"multiplication, l'approche « scolaire » utilise tout les chiffres présents "

"dans les facteurs. Par exemple, ``1.3 * 1.2`` donnerait :const:`1.56` tandis "

"que ``1.30 * 1.20`` donnerait :const:`1.5600`."

#: ../Doc/library/decimal.rst:56

msgid ""

"Unlike hardware based binary floating point, the decimal module has a user "

"alterable precision (defaulting to 28 places) which can be as large as "

"needed for a given problem:"

msgstr ""

"Contrairement à l'arithmétique en virgule flottante binaire, le module "

"``decimal`` possède un paramètre de précision ajustable (par défaut à 28 "

"chiffres significatifs) qui peut être aussi élevée que nécessaire pour un "

"problème donné :"

#: ../Doc/library/decimal.rst:68

msgid ""

"Both binary and decimal floating point are implemented in terms of published "

"standards. While the built-in float type exposes only a modest portion of "

"its capabilities, the decimal module exposes all required parts of the "

"standard. When needed, the programmer has full control over rounding and "

"signal handling. This includes an option to enforce exact arithmetic by "

"using exceptions to block any inexact operations."

msgstr ""

"L'arithmétique binaire et décimale en virgule flottante sont implémentées "

"selon des standards publiés. Alors que le type ``float`` n'expose qu'une "

"faible portion de ses capacités, le module ``decimal`` expose tous les "

"composants nécessaires du standard. Lorsque nécessaire, le développeur a un "

"contrôle total de la gestion de signal et de l'arrondi. Cela inclut la "

"possibilité de forcer une arithmétique exacte en utilisant des exceptions "

"pour bloquer toute opération inexacte."

#: ../Doc/library/decimal.rst:75

msgid ""

"The decimal module was designed to support \"without prejudice, both exact "

"unrounded decimal arithmetic (sometimes called fixed-point arithmetic) and "

"rounded floating-point arithmetic.\" -- excerpt from the decimal arithmetic "

"specification."

msgstr ""

"Le module ``decimal`` a été conçu pour gérer « sans préjugé, à la fois une "

"arithmétique décimale non-arrondie (aussi appelée arithmétique en virgule "

"fixe) et à la fois une arithmétique en virgule flottante. » (extrait traduit "

"de la spécification de l'arithmétique décimale)."

#: ../Doc/library/decimal.rst:80

msgid ""

"The module design is centered around three concepts: the decimal number, "

"the context for arithmetic, and signals."

msgstr ""

"Le module est conçu autour de trois concepts : le nombre décimal, le "

"contexte arithmétique et les signaux."

#: ../Doc/library/decimal.rst:83

msgid ""

"A decimal number is immutable. It has a sign, coefficient digits, and an "

"exponent. To preserve significance, the coefficient digits do not truncate "

"trailing zeros. Decimals also include special values such as :const:"

"`Infinity`, :const:`-Infinity`, and :const:`NaN`. The standard also "

"differentiates :const:`-0` from :const:`+0`."

msgstr ""

"Un ``Decimal`` est immuable. Il a un signe, un coefficient, et un exposant. "

"Pour préserver le nombre de chiffres significatifs, les zéros en fin de "

"chaîne ne sont pas tronqués. Les décimaux incluent aussi des valeurs "

"spéciales telles que :const:`Infinity`, :const:`-Infinity`, et :const:`NaN`. "

"Le standard fait également la différence entre :const:`-0` et :const:`+0`."

#: ../Doc/library/decimal.rst:89

msgid ""

"The context for arithmetic is an environment specifying precision, rounding "

"rules, limits on exponents, flags indicating the results of operations, and "

"trap enablers which determine whether signals are treated as exceptions. "

"Rounding options include :const:`ROUND_CEILING`, :const:`ROUND_DOWN`, :const:"

"`ROUND_FLOOR`, :const:`ROUND_HALF_DOWN`, :const:`ROUND_HALF_EVEN`, :const:"

"`ROUND_HALF_UP`, :const:`ROUND_UP`, and :const:`ROUND_05UP`."

msgstr ""

"Le contexte de l'arithmétique est un environnement qui permet de configurer "

"une précision, une règle pour l'arrondi, des limites sur l'exposant, des "

"options indiquant le résultat des opérations et si les signaux (remontés "

"lors d'opérations illégales) sont traités comme des exceptions Python. Les "

"options d'arrondi incluent :const:`ROUND_CEILING`, :const:`ROUND_DOWN`, :"

"const:`ROUND_FLOOR`, :const:`ROUND_HALF_DOWN`, :const:`ROUND_HALF_EVEN`, :"

"const:`ROUND_HALF_UP`, :const:`ROUND_UP`, et :const:`ROUND_05UP`."

#: ../Doc/library/decimal.rst:96

msgid ""

"Signals are groups of exceptional conditions arising during the course of "

"computation. Depending on the needs of the application, signals may be "

"ignored, considered as informational, or treated as exceptions. The signals "

"in the decimal module are: :const:`Clamped`, :const:`InvalidOperation`, :"

"const:`DivisionByZero`, :const:`Inexact`, :const:`Rounded`, :const:"

"`Subnormal`, :const:`Overflow`, :const:`Underflow` and :const:"

"`FloatOperation`."

msgstr ""

"Les signaux sont des groupes de conditions exceptionnelles qui surviennent "

"durant le calcul. Selon les besoins de l'application, les signaux peuvent "

"être ignorés, considérés comme de l'information, ou bien traités comme des "

"exceptions. Les signaux dans le module ``decimal`` sont : :const:`Clamped`, :"

"const:`InvalidOperation`, :const:`DivisionByZero`, :const:`Inexact`, :const:"

"`Rounded`, :const:`Subnormal`, :const:`Overflow`, :const:`Underflow` et :"

"const:`FloatOperation`."

#: ../Doc/library/decimal.rst:103

msgid ""

"For each signal there is a flag and a trap enabler. When a signal is "

"encountered, its flag is set to one, then, if the trap enabler is set to "

"one, an exception is raised. Flags are sticky, so the user needs to reset "

"them before monitoring a calculation."

msgstr ""

"Chaque signal est configurable indépendamment. Quand une opération illégale "

"survient, le signal est mis à ``1``, puis s'il est configuré pour, une "

"exception est levée. La mise à ``1`` est persistante, l'utilisateur doit "

"donc les remettre à zéro avant de commencer un calcul qu'il souhaite "

"surveiller."

#: ../Doc/library/decimal.rst:111

msgid ""

"IBM's General Decimal Arithmetic Specification, `The General Decimal "

"Arithmetic Specification <http://speleotrove.com/decimal/decarith.html>`_."

msgstr ""

"La spécification d'IBM sur l'arithmétique décimale : `The General Decimal "

"Arithmetic Specification <http://speleotrove.com/decimal/decarith.html>`_."

#: ../Doc/library/decimal.rst:120

msgid "Quick-start Tutorial"

msgstr "Introduction pratique"

#: ../Doc/library/decimal.rst:122

msgid ""

"The usual start to using decimals is importing the module, viewing the "

"current context with :func:`getcontext` and, if necessary, setting new "

"values for precision, rounding, or enabled traps::"

msgstr ""

"Commençons par importer le module, regarder le contexte actuel avec :func:"

"`getcontext`, et si nécessaire configurer la précision, l'arrondi, et la "

"gestion des signaux ::"

#: ../Doc/library/decimal.rst:134

msgid ""

"Decimal instances can be constructed from integers, strings, floats, or "

"tuples. Construction from an integer or a float performs an exact conversion "

"of the value of that integer or float. Decimal numbers include special "

"values such as :const:`NaN` which stands for \"Not a number\", positive and "

"negative :const:`Infinity`, and :const:`-0`::"

msgstr ""

"Les instances de ``Decimal`` peuvent être construites avec des ``int``, des "

"``str``, des ``floats`` ou des ``tuples``. La construction depuis un entier "

"ou un ``float`` effectue la conversion exacte de cet entier ou de ce "

"``float``. Les nombres décimaux incluent des valeurs spéciales telles que :"

"const:`NaN` qui signifie en anglais « *Not a number* », en français « pas un "

"nombre », des :const:`Infinity` positifs ou négatifs et :const:`-0` ::"

#: ../Doc/library/decimal.rst:158

msgid ""

"If the :exc:`FloatOperation` signal is trapped, accidental mixing of "

"decimals and floats in constructors or ordering comparisons raises an "

"exception::"

msgstr ""

"Si un signal :exc:`FloatOperation` est détecté, un mélange accidentel "

"d'objets ``Decimal`` et de ``float`` dans les constructeurs ou des "

"opérations de comparaisons, une exception est levée ::"

#: ../Doc/library/decimal.rst:177

msgid ""

"The significance of a new Decimal is determined solely by the number of "

"digits input. Context precision and rounding only come into play during "

"arithmetic operations."

msgstr ""

"Le nombre de chiffres significatifs d'un nouvel objet ``Decimal`` est "

"déterminé entièrement par le nombre de chiffres saisis. La précision et les "

"règles d'arrondis n'interviennent que lors d'opérations arithmétiques."

#: ../Doc/library/decimal.rst:194

msgid ""

"If the internal limits of the C version are exceeded, constructing a decimal "

"raises :class:`InvalidOperation`::"

msgstr ""

"Si les limites internes de la version en C sont dépassées, la construction "

"d'un objet décimal lève l'exception :class:`InvalidOperation` ::"

#: ../Doc/library/decimal.rst:204

msgid ""

"Decimals interact well with much of the rest of Python. Here is a small "

"decimal floating point flying circus:"

msgstr ""

"Les objets ``Decimal`` interagissent très bien avec le reste de Python. "

"Voici quelques exemple d'opérations avec des décimaux :"

#: ../Doc/library/decimal.rst:236

msgid "And some mathematical functions are also available to Decimal:"

msgstr ""

"Et certaines fonctions mathématiques sont également disponibles sur des "

"instances de ``Decimal`` :"

#: ../Doc/library/decimal.rst:248

msgid ""

"The :meth:`quantize` method rounds a number to a fixed exponent. This "

"method is useful for monetary applications that often round results to a "

"fixed number of places:"

msgstr ""

"La méthode :meth:`quantize` arrondit un nombre à un exposant fixe. Cette "

"méthode est utile pour des applications monétaires qui arrondissent souvent "

"un résultat à un nombre de chiffres significatifs exact :"

#: ../Doc/library/decimal.rst:257

msgid ""

"As shown above, the :func:`getcontext` function accesses the current context "

"and allows the settings to be changed. This approach meets the needs of "

"most applications."

msgstr ""

"Comme montré plus haut, la fonction :func:`getcontext` accède au contexte "

"actuel et permet de modifier les paramètres. Cette approche répond aux "

"besoins de la plupart des applications."

#: ../Doc/library/decimal.rst:261

msgid ""

"For more advanced work, it may be useful to create alternate contexts using "

"the Context() constructor. To make an alternate active, use the :func:"

"`setcontext` function."

msgstr ""

"Pour un travail plus avancé, il peut être utile de créer des contextes "

"alternatifs en utilisant le constructeur de ``Context``. Pour activer cet "

"objet ``Context``, utilisez la fonction :func:`setcontext`."

#: ../Doc/library/decimal.rst:265

msgid ""

"In accordance with the standard, the :mod:`decimal` module provides two "

"ready to use standard contexts, :const:`BasicContext` and :const:"

"`ExtendedContext`. The former is especially useful for debugging because "

"many of the traps are enabled:"

msgstr ""

"En accord avec le standard, le module :mod:`decimal` fournit des objets "

"Context standards, :const:`BasicContext` et :const:`ExtendedContext`. Le "

"premier est particulièrement utile pour le débogage car beaucoup des pièges "

"sont activés dans cet objet."

#: ../Doc/library/decimal.rst:294

msgid ""

"Contexts also have signal flags for monitoring exceptional conditions "

"encountered during computations. The flags remain set until explicitly "

"cleared, so it is best to clear the flags before each set of monitored "

"computations by using the :meth:`clear_flags` method. ::"

msgstr ""

"Les objets ``Context`` ont aussi des options pour détecter des opérations "

"illégales lors des calculs. Ces options restent activées jusqu'à ce qu'elles "

"soit remises à zéro de manière explicite. Il convient donc de remettre à "

"zéro ces options avant chaque inspection de chaque calcul, avec la méthode :"

"meth:`clear_flags`. ::"

#: ../Doc/library/decimal.rst:307

msgid ""

"The *flags* entry shows that the rational approximation to :const:`Pi` was "

"rounded (digits beyond the context precision were thrown away) and that the "

"result is inexact (some of the discarded digits were non-zero)."

msgstr ""

"Les options montrent que l'approximation de :const:`Pi` par une fraction a "

"été arrondie (les chiffres au delà de la précision spécifiée par l'objet "

"Context ont été tronqués) et que le résultat est différent (certains des "

"chiffres tronqués étaient différents de zéro)."

#: ../Doc/library/decimal.rst:311

msgid ""

"Individual traps are set using the dictionary in the :attr:`traps` field of "

"a context:"

msgstr ""

"L'activation des pièges se fait en utilisant un dictionnaire dans "

"l'attribut :attr:`traps` de l'objet Context :"

#: ../Doc/library/decimal.rst:326

msgid ""

"Most programs adjust the current context only once, at the beginning of the "

"program. And, in many applications, data is converted to :class:`Decimal` "

"with a single cast inside a loop. With context set and decimals created, "

"the bulk of the program manipulates the data no differently than with other "

"Python numeric types."

msgstr ""

"La plupart des applications n'ajustent l'objet ``Context`` qu'une seule "

"fois, au démarrage. Et, dans beaucoup d'applications, les données sont "

"convertie une fois pour toutes en :class:`Decimal`. Une fois le ``Context`` "

"initialisé, et les objets ``Decimal`` créés, l'essentiel du programme "

"manipule la donnée de la même manière qu'avec les autres types numériques "

"Python."

#: ../Doc/library/decimal.rst:338

msgid "Decimal objects"

msgstr "Les objets Decimal"

#: ../Doc/library/decimal.rst:343

msgid "Construct a new :class:`Decimal` object based from *value*."

msgstr "Construire un nouvel objet :class:`Decimal` à partir de *value*."

#: ../Doc/library/decimal.rst:345

msgid ""

"*value* can be an integer, string, tuple, :class:`float`, or another :class:"

"`Decimal` object. If no *value* is given, returns ``Decimal('0')``. If "

"*value* is a string, it should conform to the decimal numeric string syntax "

"after leading and trailing whitespace characters are removed::"

msgstr ""

#: ../Doc/library/decimal.rst:361

msgid ""

"Other Unicode decimal digits are also permitted where ``digit`` appears "

"above. These include decimal digits from various other alphabets (for "

"example, Arabic-Indic and Devanāgarī digits) along with the fullwidth digits "

"``'\\uff10'`` through ``'\\uff19'``."

msgstr ""

"Les chiffres codés en Unicode sont aussi autorisés, là ou ``digit`` "

"apparaît. Cela inclut des chiffres décimaux venant d'autres alphabets (par "

"exemple les chiffres indo-arabes ou Devanagari) ainsi que les chiffres de "

"pleine largeur ``'\\uff10'`` jusqu'à ``'\\uff19'``."

#: ../Doc/library/decimal.rst:366

msgid ""

"If *value* is a :class:`tuple`, it should have three components, a sign (:"

"const:`0` for positive or :const:`1` for negative), a :class:`tuple` of "

"digits, and an integer exponent. For example, ``Decimal((0, (1, 4, 1, 4), "

"-3))`` returns ``Decimal('1.414')``."

msgstr ""

"Si *value* est un :class:`tuple`, il doit avoir 3 éléments, le signe (:const:"

"`0` pour positif ou :const:`1` pour négatif), un :class:`tuple` de chiffres, "

"et un entier représentant l'exposant. Par exemple, ``Decimal((0, (1, 4, 1, "

"4), -3))`` construit l'objet ``Decimal('1.414')``."

#: ../Doc/library/decimal.rst:371

msgid ""

"If *value* is a :class:`float`, the binary floating point value is "

"losslessly converted to its exact decimal equivalent. This conversion can "

"often require 53 or more digits of precision. For example, "

"``Decimal(float('1.1'))`` converts to "

"``Decimal('1.100000000000000088817841970012523233890533447265625')``."

msgstr ""

"Si *value* est un :class:`float`, la valeur en binaire flottant est "

"convertie exactement à son équivalent décimal. Cette conversion peut parfois "

"nécessiter 53 chiffres significatifs ou plus. Par exemple, "

"``Decimal(float('1.1'))`` devient "

"``Decimal('1.100000000000000088817841970012523233890533447265625')``."

#: ../Doc/library/decimal.rst:377

msgid ""

"The *context* precision does not affect how many digits are stored. That is "

"determined exclusively by the number of digits in *value*. For example, "

"``Decimal('3.00000')`` records all five zeros even if the context precision "

"is only three."

msgstr ""

"La précision spécifiée dans Context n'affecte pas le nombre de chiffres "

"stockés. Cette valeur est déterminée exclusivement par le nombre de chiffres "

"dans *value*. Par exemple, ``Decimal('3.00000')`` enregistre les 5 zéros "

"même si la précision du contexte est de 3."

#: ../Doc/library/decimal.rst:382

msgid ""

"The purpose of the *context* argument is determining what to do if *value* "

"is a malformed string. If the context traps :const:`InvalidOperation`, an "

"exception is raised; otherwise, the constructor returns a new Decimal with "

"the value of :const:`NaN`."

msgstr ""

"L'objectif de l'argument *context* est de déterminer ce que Python doit "

"faire si *value* est une chaîne avec un mauvais format. Si l'option :const:"

"`InvalidOperation` est activée, une exception est levée, sinon le "

"constructeur renvoie un objet ``Decimal`` avec la valeur :const:`NaN`."

#: ../Doc/library/decimal.rst:387

msgid "Once constructed, :class:`Decimal` objects are immutable."

msgstr "Une fois construit, les objets :class:`Decimal` sont immuables."

#: ../Doc/library/decimal.rst:389

msgid ""

"The argument to the constructor is now permitted to be a :class:`float` "

"instance."

msgstr ""

"L'argument du constructeur peut désormais être un objet :class:`float`."

#: ../Doc/library/decimal.rst:393

msgid ""

":class:`float` arguments raise an exception if the :exc:`FloatOperation` "

"trap is set. By default the trap is off."

msgstr ""

"Un argument :class:`float` lève une exception si l'option :exc:"

"`FloatOperation` est activé. Par défaut l'option ne l'est pas."

#: ../Doc/library/decimal.rst:397

msgid ""

"Decimal floating point objects share many properties with the other built-in "

"numeric types such as :class:`float` and :class:`int`. All of the usual "

"math operations and special methods apply. Likewise, decimal objects can be "

"copied, pickled, printed, used as dictionary keys, used as set elements, "

"compared, sorted, and coerced to another type (such as :class:`float` or :"

"class:`int`)."

msgstr ""

"Les objets ``Decimal`` partagent beaucoup de propriétés avec les autres "

"types numériques natifs tels que :class:`float` et :class:`int`. Toutes les "

"opérations mathématiques et méthodes sont conservées. De même les objets "

"``Decimal`` peuvent être copiés, sérialisés via le module ``pickle``, "

"affichés, utilisés comme clé de dictionnaire, éléments d'ensembles, "

"comparés, classés, et convertis vers un autre type (tel que :class:`float` "

"ou :class:`int`)."

#: ../Doc/library/decimal.rst:404

msgid ""

"There are some small differences between arithmetic on Decimal objects and "

"arithmetic on integers and floats. When the remainder operator ``%`` is "

"applied to Decimal objects, the sign of the result is the sign of the "

"*dividend* rather than the sign of the divisor::"

msgstr ""

"Il existe quelques différences mineures entre l'arithmétique entre les "

"objets décimaux et l'arithmétique avec les entiers et les ``float``. Quand "

"l'opérateur modulo ``%`` est appliqué sur des objets décimaux, le signe du "

"résultat est le signe du *dividend* plutôt que le signe du diviseur::"

#: ../Doc/library/decimal.rst:414

msgid ""

"The integer division operator ``//`` behaves analogously, returning the "

"integer part of the true quotient (truncating towards zero) rather than its "

"floor, so as to preserve the usual identity ``x == (x // y) * y + x % y``::"

msgstr ""

"L'opérateur division entière, ``//`` se comporte de la même manière, "

"retournant la partie entière du quotient, plutôt que son arrondi, de manière "

"à préserver l'identité d'Euclide ``x == (x // y) * y + x % y``::"

#: ../Doc/library/decimal.rst:423

msgid ""

"The ``%`` and ``//`` operators implement the ``remainder`` and ``divide-"

"integer`` operations (respectively) as described in the specification."

msgstr ""

"Les opérateurs ``//`` et ``%`` implémentent la division entière et le reste "

"(ou modulo), respectivement, tel que décrit dans la spécification."

#: ../Doc/library/decimal.rst:427

msgid ""

"Decimal objects cannot generally be combined with floats or instances of :"

"class:`fractions.Fraction` in arithmetic operations: an attempt to add a :"

"class:`Decimal` to a :class:`float`, for example, will raise a :exc:"

"`TypeError`. However, it is possible to use Python's comparison operators "

"to compare a :class:`Decimal` instance ``x`` with another number ``y``. "

"This avoids confusing results when doing equality comparisons between "

"numbers of different types."

msgstr ""

"Les objets ``Decimal`` ne peuvent généralement pas être combinés avec des "

"``float`` ou des objets :class:`fractions.Fraction` lors d'opérations "

"arithmétiques : tout addition entre un :class:`Decimal` avec un :class:"

"`float`, par exemple, lève une exception :exc:`TypeError`. Cependant, il est "

"possible d'utiliser les opérateurs de comparaison entre instances de :class:"

"`Decimal` avec les autres types numériques. Cela évite d'avoir des résultats "

"absurdes lors des tests d'égalité entre différents types."

#: ../Doc/library/decimal.rst:435

msgid ""

"Mixed-type comparisons between :class:`Decimal` instances and other numeric "

"types are now fully supported."

msgstr ""

"Les comparaisons inter-types entre :class:`Decimal` et les autres types "

"numériques sont désormais intégralement gérés."

#: ../Doc/library/decimal.rst:439

msgid ""

"In addition to the standard numeric properties, decimal floating point "

"objects also have a number of specialized methods:"

msgstr ""

#: ../Doc/library/decimal.rst:445

msgid ""

"Return the adjusted exponent after shifting out the coefficient's rightmost "

"digits until only the lead digit remains: ``Decimal('321e+5').adjusted()`` "

"returns seven. Used for determining the position of the most significant "

"digit with respect to the decimal point."

msgstr ""

#: ../Doc/library/decimal.rst:453

msgid ""

"Return a :term:`named tuple` representation of the number: "

"``DecimalTuple(sign, digits, exponent)``."

msgstr ""

#: ../Doc/library/decimal.rst:459

msgid ""

"Return the canonical encoding of the argument. Currently, the encoding of "

"a :class:`Decimal` instance is always canonical, so this operation returns "

"its argument unchanged."

msgstr ""

#: ../Doc/library/decimal.rst:465

msgid ""

"Compare the values of two Decimal instances. :meth:`compare` returns a "

"Decimal instance, and if either operand is a NaN then the result is a NaN::"

msgstr ""

#: ../Doc/library/decimal.rst:476

msgid ""

"This operation is identical to the :meth:`compare` method, except that all "

"NaNs signal. That is, if neither operand is a signaling NaN then any quiet "

"NaN operand is treated as though it were a signaling NaN."

msgstr ""

#: ../Doc/library/decimal.rst:482

msgid ""

"Compare two operands using their abstract representation rather than their "

"numerical value. Similar to the :meth:`compare` method, but the result "

"gives a total ordering on :class:`Decimal` instances. Two :class:`Decimal` "

"instances with the same numeric value but different representations compare "

"unequal in this ordering:"

msgstr ""

#: ../Doc/library/decimal.rst:491

msgid ""

"Quiet and signaling NaNs are also included in the total ordering. The "

"result of this function is ``Decimal('0')`` if both operands have the same "

"representation, ``Decimal('-1')`` if the first operand is lower in the total "

"order than the second, and ``Decimal('1')`` if the first operand is higher "

"in the total order than the second operand. See the specification for "

"details of the total order."

msgstr ""

#: ../Doc/library/decimal.rst:498 ../Doc/library/decimal.rst:509

#: ../Doc/library/decimal.rst:537 ../Doc/library/decimal.rst:812

msgid ""

"This operation is unaffected by context and is quiet: no flags are changed "

"and no rounding is performed. As an exception, the C version may raise "

"InvalidOperation if the second operand cannot be converted exactly."

msgstr ""

#: ../Doc/library/decimal.rst:504

msgid ""

"Compare two operands using their abstract representation rather than their "

"value as in :meth:`compare_total`, but ignoring the sign of each operand. "

"``x.compare_total_mag(y)`` is equivalent to ``x.copy_abs().compare_total(y."

"copy_abs())``."

msgstr ""

#: ../Doc/library/decimal.rst:515

msgid ""

"Just returns self, this method is only to comply with the Decimal "

"Specification."

msgstr ""

#: ../Doc/library/decimal.rst:520

msgid ""

"Return the absolute value of the argument. This operation is unaffected by "

"the context and is quiet: no flags are changed and no rounding is performed."

msgstr ""

#: ../Doc/library/decimal.rst:526

msgid ""

"Return the negation of the argument. This operation is unaffected by the "

"context and is quiet: no flags are changed and no rounding is performed."

msgstr ""

#: ../Doc/library/decimal.rst:531

msgid ""

"Return a copy of the first operand with the sign set to be the same as the "

"sign of the second operand. For example:"

msgstr ""

#: ../Doc/library/decimal.rst:543

msgid ""

"Return the value of the (natural) exponential function ``e**x`` at the given "

"number. The result is correctly rounded using the :const:`ROUND_HALF_EVEN` "

"rounding mode."

msgstr ""

#: ../Doc/library/decimal.rst:554

msgid "Classmethod that converts a float to a decimal number, exactly."

msgstr ""

#: ../Doc/library/decimal.rst:556

msgid ""

"Note `Decimal.from_float(0.1)` is not the same as `Decimal('0.1')`. Since "

"0.1 is not exactly representable in binary floating point, the value is "

"stored as the nearest representable value which is `0x1.999999999999ap-4`. "

"That equivalent value in decimal is "

"`0.1000000000000000055511151231257827021181583404541015625`."

msgstr ""

#: ../Doc/library/decimal.rst:562

msgid ""

"From Python 3.2 onwards, a :class:`Decimal` instance can also be constructed "

"directly from a :class:`float`."

msgstr ""

#: ../Doc/library/decimal.rst:580

msgid ""

"Fused multiply-add. Return self*other+third with no rounding of the "

"intermediate product self*other."

msgstr ""

#: ../Doc/library/decimal.rst:588

msgid ""

"Return :const:`True` if the argument is canonical and :const:`False` "

"otherwise. Currently, a :class:`Decimal` instance is always canonical, so "

"this operation always returns :const:`True`."

msgstr ""

#: ../Doc/library/decimal.rst:594

msgid ""

"Return :const:`True` if the argument is a finite number, and :const:`False` "

"if the argument is an infinity or a NaN."

msgstr ""

#: ../Doc/library/decimal.rst:599

msgid ""

"Return :const:`True` if the argument is either positive or negative infinity "

"and :const:`False` otherwise."

msgstr ""

#: ../Doc/library/decimal.rst:604

msgid ""

"Return :const:`True` if the argument is a (quiet or signaling) NaN and :"

"const:`False` otherwise."

msgstr ""

#: ../Doc/library/decimal.rst:609

msgid ""

"Return :const:`True` if the argument is a *normal* finite number. Return :"

"const:`False` if the argument is zero, subnormal, infinite or a NaN."

msgstr ""

#: ../Doc/library/decimal.rst:614

msgid ""

"Return :const:`True` if the argument is a quiet NaN, and :const:`False` "

"otherwise."

msgstr ""

#: ../Doc/library/decimal.rst:619

msgid ""

"Return :const:`True` if the argument has a negative sign and :const:`False` "

"otherwise. Note that zeros and NaNs can both carry signs."

msgstr ""

#: ../Doc/library/decimal.rst:624

msgid ""

"Return :const:`True` if the argument is a signaling NaN and :const:`False` "

"otherwise."

msgstr ""

#: ../Doc/library/decimal.rst:629

msgid ""

"Return :const:`True` if the argument is subnormal, and :const:`False` "

"otherwise."

msgstr ""

#: ../Doc/library/decimal.rst:634

msgid ""

"Return :const:`True` if the argument is a (positive or negative) zero and :"

"const:`False` otherwise."

msgstr ""

#: ../Doc/library/decimal.rst:639

msgid ""

"Return the natural (base e) logarithm of the operand. The result is "

"correctly rounded using the :const:`ROUND_HALF_EVEN` rounding mode."

msgstr ""

#: ../Doc/library/decimal.rst:644

msgid ""

"Return the base ten logarithm of the operand. The result is correctly "

"rounded using the :const:`ROUND_HALF_EVEN` rounding mode."

msgstr ""

#: ../Doc/library/decimal.rst:649

msgid ""

"For a nonzero number, return the adjusted exponent of its operand as a :"

"class:`Decimal` instance. If the operand is a zero then ``Decimal('-"

"Infinity')`` is returned and the :const:`DivisionByZero` flag is raised. If "

"the operand is an infinity then ``Decimal('Infinity')`` is returned."

msgstr ""

#: ../Doc/library/decimal.rst:657

msgid ""

":meth:`logical_and` is a logical operation which takes two *logical "

"operands* (see :ref:`logical_operands_label`). The result is the digit-wise "

"``and`` of the two operands."

msgstr ""

#: ../Doc/library/decimal.rst:663

msgid ""

":meth:`logical_invert` is a logical operation. The result is the digit-wise "

"inversion of the operand."

msgstr ""

#: ../Doc/library/decimal.rst:668

msgid ""

":meth:`logical_or` is a logical operation which takes two *logical operands* "

"(see :ref:`logical_operands_label`). The result is the digit-wise ``or`` of "

"the two operands."

msgstr ""

#: ../Doc/library/decimal.rst:674

msgid ""

":meth:`logical_xor` is a logical operation which takes two *logical "

"operands* (see :ref:`logical_operands_label`). The result is the digit-wise "

"exclusive or of the two operands."

msgstr ""

#: ../Doc/library/decimal.rst:680

msgid ""

"Like ``max(self, other)`` except that the context rounding rule is applied "

"before returning and that :const:`NaN` values are either signaled or ignored "

"(depending on the context and whether they are signaling or quiet)."

msgstr ""

#: ../Doc/library/decimal.rst:687

msgid ""

"Similar to the :meth:`.max` method, but the comparison is done using the "

"absolute values of the operands."

msgstr ""

#: ../Doc/library/decimal.rst:692

msgid ""

"Like ``min(self, other)`` except that the context rounding rule is applied "

"before returning and that :const:`NaN` values are either signaled or ignored "

"(depending on the context and whether they are signaling or quiet)."

msgstr ""

#: ../Doc/library/decimal.rst:699

msgid ""

"Similar to the :meth:`.min` method, but the comparison is done using the "

"absolute values of the operands."

msgstr ""

#: ../Doc/library/decimal.rst:704

msgid ""

"Return the largest number representable in the given context (or in the "

"current thread's context if no context is given) that is smaller than the "

"given operand."

msgstr ""

#: ../Doc/library/decimal.rst:710

msgid ""

"Return the smallest number representable in the given context (or in the "

"current thread's context if no context is given) that is larger than the "

"given operand."

msgstr ""

#: ../Doc/library/decimal.rst:716

msgid ""

"If the two operands are unequal, return the number closest to the first "

"operand in the direction of the second operand. If both operands are "

"numerically equal, return a copy of the first operand with the sign set to "

"be the same as the sign of the second operand."

msgstr ""

#: ../Doc/library/decimal.rst:723

msgid ""

"Normalize the number by stripping the rightmost trailing zeros and "

"converting any result equal to :const:`Decimal('0')` to :const:"

"`Decimal('0e0')`. Used for producing canonical values for attributes of an "

"equivalence class. For example, ``Decimal('32.100')`` and "

"``Decimal('0.321000e+2')`` both normalize to the equivalent value "

"``Decimal('32.1')``."

msgstr ""

#: ../Doc/library/decimal.rst:732

msgid ""

"Return a string describing the *class* of the operand. The returned value "

"is one of the following ten strings."

msgstr ""

#: ../Doc/library/decimal.rst:735

msgid "``\"-Infinity\"``, indicating that the operand is negative infinity."

msgstr ""

#: ../Doc/library/decimal.rst:736

msgid ""

"``\"-Normal\"``, indicating that the operand is a negative normal number."

msgstr ""

#: ../Doc/library/decimal.rst:737

msgid ""

"``\"-Subnormal\"``, indicating that the operand is negative and subnormal."

msgstr ""

#: ../Doc/library/decimal.rst:738

msgid "``\"-Zero\"``, indicating that the operand is a negative zero."

msgstr ""

#: ../Doc/library/decimal.rst:739

msgid "``\"+Zero\"``, indicating that the operand is a positive zero."

msgstr ""

#: ../Doc/library/decimal.rst:740

msgid ""

"``\"+Subnormal\"``, indicating that the operand is positive and subnormal."

msgstr ""

#: ../Doc/library/decimal.rst:741

msgid ""

"``\"+Normal\"``, indicating that the operand is a positive normal number."

msgstr ""

#: ../Doc/library/decimal.rst:742

msgid "``\"+Infinity\"``, indicating that the operand is positive infinity."

msgstr ""

#: ../Doc/library/decimal.rst:743

msgid "``\"NaN\"``, indicating that the operand is a quiet NaN (Not a Number)."

msgstr ""

#: ../Doc/library/decimal.rst:744

msgid "``\"sNaN\"``, indicating that the operand is a signaling NaN."

msgstr ""

#: ../Doc/library/decimal.rst:748

msgid ""

"Return a value equal to the first operand after rounding and having the "

"exponent of the second operand."

msgstr ""

#: ../Doc/library/decimal.rst:754

msgid ""

"Unlike other operations, if the length of the coefficient after the quantize "

"operation would be greater than precision, then an :const:`InvalidOperation` "

"is signaled. This guarantees that, unless there is an error condition, the "

"quantized exponent is always equal to that of the right-hand operand."

msgstr ""

#: ../Doc/library/decimal.rst:760

msgid ""

"Also unlike other operations, quantize never signals Underflow, even if the "

"result is subnormal and inexact."

msgstr ""

#: ../Doc/library/decimal.rst:763

msgid ""

"If the exponent of the second operand is larger than that of the first then "

"rounding may be necessary. In this case, the rounding mode is determined by "

"the ``rounding`` argument if given, else by the given ``context`` argument; "

"if neither argument is given the rounding mode of the current thread's "

"context is used."

msgstr ""

#: ../Doc/library/decimal.rst:769

msgid ""

"An error is returned whenever the resulting exponent is greater than :attr:"

"`Emax` or less than :attr:`Etiny`."

msgstr ""

#: ../Doc/library/decimal.rst:774

msgid ""

"Return ``Decimal(10)``, the radix (base) in which the :class:`Decimal` class "

"does all its arithmetic. Included for compatibility with the specification."

msgstr ""

#: ../Doc/library/decimal.rst:780

msgid ""

"Return the remainder from dividing *self* by *other*. This differs from "

"``self % other`` in that the sign of the remainder is chosen so as to "

"minimize its absolute value. More precisely, the return value is ``self - n "

"* other`` where ``n`` is the integer nearest to the exact value of ``self / "

"other``, and if two integers are equally near then the even one is chosen."

msgstr ""

#: ../Doc/library/decimal.rst:787

msgid "If the result is zero then its sign will be the sign of *self*."

msgstr ""

#: ../Doc/library/decimal.rst:798

msgid ""

"Return the result of rotating the digits of the first operand by an amount "

"specified by the second operand. The second operand must be an integer in "

"the range -precision through precision. The absolute value of the second "

"operand gives the number of places to rotate. If the second operand is "

"positive then rotation is to the left; otherwise rotation is to the right. "

"The coefficient of the first operand is padded on the left with zeros to "

"length precision if necessary. The sign and exponent of the first operand "

"are unchanged."

msgstr ""

#: ../Doc/library/decimal.rst:809

msgid ""

"Test whether self and other have the same exponent or whether both are :"

"const:`NaN`."

msgstr ""

#: ../Doc/library/decimal.rst:818

msgid ""

"Return the first operand with exponent adjusted by the second. Equivalently, "

"return the first operand multiplied by ``10**other``. The second operand "

"must be an integer."

msgstr ""

#: ../Doc/library/decimal.rst:824

msgid ""

"Return the result of shifting the digits of the first operand by an amount "

"specified by the second operand. The second operand must be an integer in "

"the range -precision through precision. The absolute value of the second "

"operand gives the number of places to shift. If the second operand is "

"positive then the shift is to the left; otherwise the shift is to the "

"right. Digits shifted into the coefficient are zeros. The sign and "

"exponent of the first operand are unchanged."

msgstr ""

#: ../Doc/library/decimal.rst:834

msgid "Return the square root of the argument to full precision."

msgstr ""

#: ../Doc/library/decimal.rst:839 ../Doc/library/decimal.rst:1415

msgid ""

"Convert to a string, using engineering notation if an exponent is needed."

msgstr ""

#: ../Doc/library/decimal.rst:841 ../Doc/library/decimal.rst:1417

msgid ""

"Engineering notation has an exponent which is a multiple of 3. This can "

"leave up to 3 digits to the left of the decimal place and may require the "

"addition of either one or two trailing zeros."

msgstr ""

#: ../Doc/library/decimal.rst:845