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std::hypot

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C++
 
Numerik-Bibliothek
Gemeinsame mathematischen Funktionen
Floating-Point-Umgebung
Komplexe Zahlen
Numerische Arrays
Pseudo-Zufallszahlen
Compile-time rationale Arithmetik (C++11)
Generische numerische Operationen
Original:
Generic numeric operations
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iota(C++11)
accumulate
inner_product
adjacent_difference
partial_sum
 
Gemeinsame mathematischen Funktionen
Funktionen
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Functions
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Grundlegende Bedienung
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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)
Exponentialfunktionen
Original:
Exponential functions
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exp
exp2(C++11)
expm1(C++11)
log
log10
log1p(C++11)
log2(C++11)
Power-Funktionen
Original:
Power functions
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sqrt
cbrt(C++11)
hypot(C++11)
pow
Trigonometrische und hyperbolische Funktionen
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Trigonometric and hyperbolic functions
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sinh
cosh
tanh
asinh(C++11)
acosh(C++11)
atanh(C++11)
Fehler-und Gamma-Funktionen
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Error and gamma functions
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erf(C++11)
erfc(C++11)
lgamma(C++11)
tgamma(C++11)
Nächste ganze Zahl Fließkomma-Operationen
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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)
Floating-Point-Manipulation Funktionen
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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)
Klassifizierung / Vergleich
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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)
Makro Konstanten
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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)
 
definiert 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 u√1+(
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 u√1+(
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]
Von „https://de.cppreference.com/mwiki/index.php?title=cpp/numeric/math/hypot&oldid=29569“