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std::hypot

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Defined in header <cmath>
float       hypot( float x, float y );
(1) (seit C++11)
double      hypot( double x, double y );
(2) (seit C++11)
long double hypot( long double x, long double y );
(3) (seit C++11)
Promoted    hypot( Arithmetic x, Arithmetic y );
(4) (seit C++11)
Berechnet die Quadratwurzel aus der Summe der Quadrate der x und y, ohne unnötige Überlauf oder Unterlauf an Zwischenstufen der Berechnung. Dies ist die Länge der Hypotenuse eines rechtwinkligen Dreiecks mit einer Seitenlänge von Länge und x y, oder der Abstand des Punktes vom Ursprung (x,y) (0,0) oder den Betrag einer komplexen Zahl 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)
Wenn ein Argument hat integralen Typ, wird es double gegossen. Wenn ein anderes Argument long double ist, dann ist der Rückgabetyp long double ist, sonst ist es 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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Inhaltsverzeichnis

[Bearbeiten] Parameter

x -
Floating-Point-Wert
Original:
floating point value
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y -
Floating-Point-Wert
Original:
floating point value
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[Bearbeiten] Rückgabewert

Die Hypotenuse eines rechtwinkligen Dreiecks, x2
+y2
.
Original:
The hypotenuse of a right-angled triangle, x2
+y2
.
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[Bearbeiten] Ausnahmen

Wenn das Ergebnis überläuft, kann eine Reihe Fehler auftreten und FE_OVERFLOW angehoben werden kann .
Original:
If the result overflows, a range error may occur and FE_OVERFLOW may be raised.
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Wenn das Ergebnis subnormale kann ein Fehler auf, und Unterlauf FE_UNDERFLOW angehoben werden kann .
Original:
If the result is subnormal, an underflow error may occur and FE_UNDERFLOW may be raised.
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[Bearbeiten] Notes

Typische Implementierung Strategie ist es, ein Äquivalent u1+(
v
u
)2
wo u ist std::max(x,y) und v ist std::min(x,y) .. berechnen
Original:
Typical implementation strategy is to calculate an equivalent of u1+(
v
u
)2
where u is std::max(x,y) and v is std::min(x,y).
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[Bearbeiten] Beispiel

#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

[Bearbeiten] Siehe auch

berechnet Quadratwurzel (x)
Original:
computes square root (x)
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(Funktion) [edit]
wirft eine Reihe an die angegebene Leistung (xy)
Original:
raises a number to the given power (xy)
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(Funktion) [edit]
liefert den Betrag einer komplexen Zahl
Original:
returns the magnitude of a complex number
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(Funktions-Template) [edit]