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std::proj<div class="t-tr-text">(Std :: complex)<div class="t-tr-dropdown"><div><div><div class="t-tr-dropdown-arrow-border"></div><div class="t-tr-dropdown-arrow"></div><div class="t-tr-dropdown-h">Original:</div><div class="t-tr-dropdown-orig">(std::complex)</div><div class="t-tr-dropdown-notes">The text has been machine-translated via [http://translate.google.com Google Translate].<br/> You can help to correct and verify the translation. Click [http://en.cppreference.com/w/Cppreference:MachineTranslations here] for instructions.</div></div></div></div></div>

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< cpp‎ | numeric‎ | complex

 
 
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
 
Komplexe Zahlen
Member-Funktionen
Original:
Member functions
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complex::complex
complex::operator=
complex::real
complex::imag
complex::operator+=
complex::operator-=
complex::operator*=
complex::operator/=
Non-Member-Funktionen
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Non-member functions
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operator==
operator!=
operator<<
operator>>
real
imag
abs
arg
norm
conj
proj(C++11)
polar
Exponentialfunktionen
Original:
Exponential functions
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exp
log
log10
Power-Funktionen
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Power functions
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pow
sqrt
Trigonometrische Funktionen
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Trigonometric functions
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asin(C++11)
acos(C++11)
atan(C++11)
Hyperbolische Funktionen
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Hyperbolic functions
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asinh(C++11)
acosh(C++11)
atanh(C++11)
 
definiert in Header <complex>
template<class T >
complex<T> proj(const complex<T>& z );
(seit C++11)
Gibt die Projektion der komplexen Zahl z auf die Riemannsche .
Original:
Returns the projection of the complex number z onto the Riemann sphere.
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Für die meisten z, std::proj(z)==z, aber alle komplexen Unendlichkeiten, selbst wenn die Zahl eine Komponente unendlich ist und das andere ist NaN, positive reelle Unendlichkeit (INFINITY, 0) oder (INFINITY, -0) geworden. Das Vorzeichen der imaginären (Null)-Komponente ist das Zeichen std::imag(z) .
Original:
For most z, std::proj(z)==z, but all complex infinities, even the numbers where one component is infinite and the other is NaN, become positive real infinity, (INFINITY, 0) or (INFINITY, -0). The sign of the imaginary (zero) component is the sign of std::imag(z).
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Inhaltsverzeichnis

[Bearbeiten]Parameter

z -
komplexen Wert
Original:
complex value
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[Bearbeiten]Rückgabewert

die Projektion des z auf der Riemannschen Kugel
Original:
the projection of z onto the Riemann sphere
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[Bearbeiten]Beispiel

#include <iostream>#include <complex>   int main(){std::complex<double> c1(1, 2);std::cout<<"proj"<< c1 <<" = "<< std::proj(c1)<<'\n';   std::complex<double> c2(INFINITY, -1);std::cout<<"proj"<< c2 <<" = "<< std::proj(c2)<<'\n';   std::complex<double> c3(0, -INFINITY);std::cout<<"proj"<< c3 <<" = "<< std::proj(c3)<<'\n';}

Output:

proj(1,2) = (1,2) proj(inf,-1) = (inf,-0) proj(0,-inf) = (inf,-0)

[Bearbeiten]Siehe auch

liefert den Betrag einer komplexen Zahl
Original:
returns the magnitude of a complex number
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(Funktions-Template)[edit]
gibt die quadrierte Größe
Original:
returns the squared magnitude
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(Funktions-Template)[edit]
konstruiert eine komplexe Zahl von Betrag und Phasenwinkel
Original:
constructs a complex number from magnitude and phase angle
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(Funktions-Template)[edit]
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