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std::logb

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definiert in Header <cmath>
float       logb(float arg );
(seit C++11)
double      logb(double arg );
(seit C++11)
longdouble logb(longdouble arg );
(seit C++11)
double      logb( Integral arg );
(seit C++11)
Extrahiert den Wert des Exponenten aus der Floating-Point-Argument arg und gibt es als Floating-Point-Wert. Formal ist das Ergebnis der integraler Bestandteil des log
r
|arg|
als vorzeichenbehaftete Fließkommazahl, für Nicht-Null arg, wo r ist std::numeic_limits<T>::radix und T ist der Floating-Point-Typ arg. Wenn arg subnormale ist, wird behandelt, als ob es wurde normalisiert .
Original:
Extracts the value of the exponent from the floating-point argument arg, and returns it as a floating-point value. Formally, the result is the integral part of log
r
|arg|
as a signed floating-point value, for non-zero arg, where r is std::numeic_limits<T>::radix and T is the floating-point type of arg. If arg is subnormal, it is treated as though it was normalized.
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Inhaltsverzeichnis

[Bearbeiten]Parameter

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

Die Floating-Point-Exponenten .
Original:
The floating-point exponent.
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Domain oder den Bereich Fehler kann auftreten, wenn arg Null ist .
Original:
Domain or range error may occur if arg is zero.
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[Bearbeiten]Notes

Der Wert des Exponenten zurückschickt std::logb immer 1 kleiner als der Exponent durch std::frexp wegen der unterschiedlichen Anforderungen Normalisierung retuned: für den Exponenten e durch std::logb zurückgekehrt ist |arg*r-e
|
zwischen 1 und r (typischerweise zwischen 1 und 2), aber für die Exponenten e durch std::frexp zurückgegeben wird, ist |arg*2-e
|
zwischen 0.5 und 1 .
Original:
The value of the exponent returned by std::logb is always 1 less than the exponent retuned by std::frexp because of the different normalization requirements: for the exponent e returned by std::logb, |arg*r-e
|
is between 1 and r (typically between 1 and 2), but for the exponent e returned by std::frexp, |arg*2-e
|
is between 0.5 and 1.
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[Bearbeiten]Beispiel

Vergleicht verschiedene Floating-Point-Zersetzung Funktionen
Original:
Compares different floating-point decomposition functions
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#include <iostream>#include <cmath>#include <limits>int main(){double f =123.45;std::cout<<"Given the number "<< f <<" or "<<std::hexfloat<< f <<std::defaultfloat<<" in hex,\n";   double f3;double f2 =std::modf(f, &f3);std::cout<<"modf() makes "<< f3 <<" + "<< f2 <<'\n';   int i; f2 =std::frexp(f, &i);std::cout<<"frexp() makes "<< f2 <<" * 2^"<< i <<'\n';   i =std::ilogb(f);std::cout<<"logb()/ilogb() make "<< f/std::scalbn(1.0, i)<<" * "<<std::numeric_limits<double>::radix<<"^"<<std::ilogb(f)<<'\n';}

Output:

Given the number 123.45 or 0x1.edccccccccccdp+6 in hex, modf() makes 123 + 0.45 frexp() makes 0.964453 * 2^7 logb()/ilogb() make 1.92891 * 2^6

[Bearbeiten]Siehe auch

zersetzt eine Zahl in Mantisse und einer Leistung von 2
Original:
decomposes a number into significand and a power of 2
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(Funktion)[edit]
(C++11)
extrahiert Exponent der Zahl
Original:
extracts exponent of the number
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(Funktion)[edit]
(C++11)
(C++11)
multipliziert eine Zahl durch FLT_RADIX potenziert
Original:
multiplies a number by FLT_RADIX raised to a power
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(Funktion)[edit]
close