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std::hypot

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< cpp‎ | numeric‎ | math

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C++
 
Bibliothèque Numerics
Fonctions mathématiques courantes
Virgule flottante environnement
Nombres complexes
Tableaux numériques
La génération de nombres pseudo-aléatoires
Moment de la compilation arithmétique rationnelle (C++11)
Génériques des opérations numériques
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Generic numeric operations
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iota (C++11)
accumulate
inner_product
adjacent_difference
partial_sum
 
Fonctions mathématiques courantes
{{{1}}}
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{{{2}}}
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Fonctions
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Functions
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Opérations de base
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Basic operations
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remainder (C++11)
remquo (C++11)
fma (C++11)
fmax (C++11)
fmin (C++11)
fdim (C++11)
nan
nanf
nanl		 (C++11)
(C++11)
(C++11)
Les fonctions exponentielles
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Exponential functions
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exp
exp2 (C++11)
expm1 (C++11)
log
log10
log1p (C++11)
log2 (C++11)
Les fonctions de puissance
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Power functions
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sqrt
cbrt (C++11)
hypot (C++11)
pow
Les fonctions trigonométriques et hyperboliques
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Trigonometric and hyperbolic functions
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sinh
cosh
tanh
asinh (C++11)
acosh (C++11)
atanh (C++11)
{{{1}}}
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{{{2}}}
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Erreur fonctions et gamma
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Error and gamma functions
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erf (C++11)
erfc (C++11)
lgamma (C++11)
tgamma (C++11)
Entier le plus proche opérations en virgule flottante
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Nearest integer floating point operations
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ceil
floor
round
lround
llround		 (C++11)
(C++11)
(C++11)
trunc (C++11)
nearbyint (C++11)
rint
lrint
llrint		 (C++11)
(C++11)
(C++11)
Flottant fonctions de manipulation de points
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Floating point manipulation functions
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ldexp
scalbn
scalbln		 (C++11)
(C++11)
ilogb (C++11)
logb (C++11)
frexp
modf
nextafter
nexttoward		 (C++11)
(C++11)
copysign (C++11)
Classification / Comparaison
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Classification/Comparison
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fpclassify (C++11)
isfinite (C++11)
isinf (C++11)
isnan (C++11)
isnormal (C++11)
signbit (C++11)
isgreater (C++11)
isgreaterequal (C++11)
isless (C++11)
islessequal (C++11)
islessgreater (C++11)
isunordered (C++11)
Macro constantes
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Macro constants
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FP_NORMAL
FP_SUBNORMAL
FP_ZERO
FP_INFINITE
FP_NAN		 (C++11)
(C++11)
(C++11)
(C++11)
(C++11)
</div>
 
</div>
Déclaré dans l'en-tête <cmath>
float       hypot( float x, float y );
 (1) (depuis C++11)
double      hypot( double x, double y );
 (2) (depuis C++11)
long double hypot( long double x, long double y );
 (3) (depuis C++11)
Promoted    hypot( Arithmetic x, Arithmetic y );
 (4) (depuis C++11)
Calcule la racine carrée de la somme des carrés des x et y, sans trop-plein indue ou négatif durant les étapes intermédiaires du calcul. Il s'agit de la longueur de l'hypoténuse d'un triangle rectangle dont les côtés sont de longueur et x y, ou la distance de la (x,y) point à l'origine (0,0), ou l'amplitude d'un nombre complexe x+iy
Original:
Computes the square root of the sum of the squares of x and y, without undue overflow or underflow at intermediate stages of the computation. This is the length of the hypotenuse of a right-angled triangle with sides of length x and y, or the distance of the point (x,y) from the origin (0,0), or the magnitude of a complex number x+iy
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4)
Si un argument est de type intégral, il est jeté à double. Si aucun autre argument est long double, puis le type de retour est long double, sinon il est double .
Original:
If any argument has integral type, it is cast to double. If any other argument is long double, then the return type is long double, otherwise it is double.
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Sommaire

[modifier] Paramètres

x -
valeur du point flottant
Original:
floating point value
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y -
valeur du point flottant
Original:
floating point value
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[modifier] Retourne la valeur

L'hypoténuse d'un triangle rectangle, √x2
+y2
 .
Original:
The hypotenuse of a right-angled triangle, √x2
+y2
.
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[modifier] Exceptions

Si le résultat déborde, une erreur d'intervalle peuvent se produire et FE_OVERFLOW peut être soulevée .
Original:
If the result overflows, a range error may occur and FE_OVERFLOW may be raised.
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Si le résultat est inférieur à la normale, une erreur peut se produire et underflow FE_UNDERFLOW peut être soulevée .
Original:
If the result is subnormal, an underflow error may occur and FE_UNDERFLOW may be raised.
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[modifier] Notes

Stratégie de mise en œuvre typique est de calculer un équivalent de u√1+(
v
u
)2
 où u est std::max(x,y) et v est std::min(x,y) .
Original:
Typical implementation strategy is to calculate an equivalent of u√1+(
v
u
)2
 where u is std::max(x,y) and v is std::min(x,y).
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[modifier] Exemple

#include <cmath>
#include <utility>
#include <iostream>
 
std::pair<double, double> cartesian_to_polar(double x, double y)
{
    return {std::hypot(x, y), std::atan2(y,x)};
}
 
int main()
{
    std::pair<double, double> polar = cartesian_to_polar(1, 1);
    std::cout << "(1,1) cartesian is (" << polar.first
               << "," << polar.second<< ") polar\n";
}

Résultat : 

(1,1) cartesian is (1.41421,0.785398) polar

[modifier] Voir aussi
calcule la racine carrée (√x)
Original:
computes square root (√x)
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(fonction) [edit]
soulève un certain nombre à la puissance donnée (xy)
Original:
raises a number to the given power (xy)
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(fonction) [edit]
renvoie l'amplitude d'un nombre complexe
Original:
returns the magnitude of a complex number
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(fonction générique) [edit]
Récupérée de « https://fr.cppreference.com/mwiki/index.php?title=cpp/numeric/math/hypot&oldid=48845 »