Fonctions et opérateurs sur les nombres
Opérateurs arithmétiques
Opérateur | Description |
---|---|
op:numeric-add($arg1 as numeric, $arg2 as numeric) as numeric | Addition |
op:numeric-subtract($arg1 as numeric, $arg2 as numeric) as numeric | Soustraction |
op:numeric-multiply($arg1 as numeric, $arg2 as numeric) as numeric | Multiplication |
op:numeric-divide($arg1 as numeric, $arg2 as numeric) as numeric | Division |
op:numeric-integer-divide($arg1 as numeric, $arg2 as numeric) as numeric | Division euclidienne (entière) |
op:numeric-mod($arg1 as numeric, $arg2 as numeric) as numeric | Modulo |
op:numeric-unary-plus($arg1 as numeric) as numeric | - |
op:numeric-unary-minus($arg1 as numeric) as numeric | Négation |
Comparaison
Opérateur | Description |
---|---|
op:numeric-equal($arg1 as numeric, $arg2 as numeric) as xs:boolean | Égalité |
op:numeric-less-than($arg1 as numeric, $arg2 as numeric) as xs:boolean | Infériorité (égalité exclue) |
op:numeric-greater-than($arg1 as numeric, $arg2 as numeric) as xs:boolean | Supériorité (égalité exclue) |
Fonctions sur les valeurs numériques
Fonction | Description |
---|---|
fn:abs($arg as numeric?) as numeric? | Valeur absolue |
fn:ceiling($arg as numeric?) as numeric? | Troncature à l'entier |
fn:floor($arg as numeric?) as numeric? | Arrondi supérieur à l'entier |
fn:round($arg as numeric?) as numeric? | Arrondi à l'entier |
fn:round-half-to-even($arg as numeric?) as numeric? fn:round-half-to-even($arg as numeric?, $precision as xs:integer) as numeric? | Arrondi à précision 0,5 . Arrondi à précision définie |
Exemple :
Fonctions trigonométrique et exponentielles
Fonction | Description |
---|---|
math:pi() as xs:double | π |
math:exp($arg as xs:double?) as xs:double? | Exponentielle |
math:exp10($arg as xs:double?) as xs:double? | Puissance de 10 |
math:log($arg as xs:double?) as xs:double? | Logarithme népérien |
math:log10($arg as xs:double?) as xs:double? | Logarithme base 10 |
math:pow($x as xs:double?, $y as numeric) as xs:double? | Puissance |
math:sqrt($arg as xs:double?) as xs:double? | Racine carrée |
math:sin($θ as xs:double?) as xs:double? | Sinus (radians) |
math:cos($θ as xs:double?) as xs:double? | Cosinus (radians) |
math:tan($θ as xs:double?) as xs:double? | Tangente (radians) |
math:asin($arg as xs:double?) as xs:double? | Arc-sinus (-π/2 to +π/2 radians) |
math:acos($arg as xs:double?) as xs:double? | Arc-cosinus (zero to +π radians) |
math:atan($arg as xs:double?) as xs:double? | Arc-tangente (-π/2 to +π/2 radians) |
math:atan2($y as xs:double, $x as xs:double) as xs:double | Arc-tangente (-π to +π) |