std::hypot

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Elemento definito nell'header <cmath>
float       hypot(float x, float y );
 (1) (dal C++11)
double      hypot(double x, double y );
 (2) (dal C++11)
longdouble hypot(longdouble x, longdouble y );
 (3) (dal C++11)
Promoted    hypot( Arithmetic x, Arithmetic y );
 (4) (dal C++11)
Calcola la radice quadrata della somma dei quadrati di x e y, senza troppopieno indebito o underflow intermedi del calcolo. Questa è la lunghezza dell'ipotenusa di un triangolo rettangolo con lati di lunghezza x e y, o la distanza del punto (x,y) dall'origine (0,0), o la grandezza di un x+iy numero complesso
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)
Se un qualsiasi argomento è di tipo integrale, il cast double. Se qualsiasi altro argomento è longdouble, quindi il tipo di ritorno è longdouble, altrimenti è double.
Original:
If any argument has integral type, it is cast to double. If any other argument is longdouble, then the return type is longdouble, otherwise it is double.
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Indice

[modifica]Parametri

x -
valore in virgola mobile
Original:
floating point value
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y -
valore in virgola mobile
Original:
floating point value
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[modifica]Valore di ritorno

L'ipotenusa di un triangolo rettangolo, √x2
+y2
.
Original:
The hypotenuse of a right-angled triangle, √x2
+y2
.
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[modifica]Eccezioni

Se il risultato overflow, un errore di campo si può verificare e FE_OVERFLOW può essere sollevata.
Original:
If the result overflows, a range error may occur and FE_OVERFLOW may be raised.
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Se il risultato è subnormale, un errore può verificarsi underflow e FE_UNDERFLOW può essere sollevata.
Original:
If the result is subnormal, an underflow error may occur and FE_UNDERFLOW may be raised.
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[modifica]Note

Strategia di attuazione tipico è quello di calcolare l'equivalente di u√1+(
v
u
)2
 dove u è std::max(x,y) e v è 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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[modifica]Esempio

#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";}

Output: 

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

[modifica]Vedi anche

calcola la radice quadrata (√x)
Original:
computes square root (√x)
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(funzione)[modifica]
solleva un numero alla potenza data (xy)
Original:
raises a number to the given power (xy)
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(funzione)[modifica]
restituisce la grandezza di un numero complesso
Original:
returns the magnitude of a complex number
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(funzione di modello)[modifica]
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