Common mathematical functions

 

C++

Sprache

Concepts

Utilities-Bibliothek

Strings Bibliothek

Container-Bibliothek

Algorithmen-Bibliothek

Iteratoren Bibliothek

Numerik-Bibliothek

Input / Output-Bibliothek

Lokalisierungen Bibliothek

Reguläre Ausdrücke Bibliothek (C++11)

Atomare Operationen Bibliothek (C++11)

Thread Support-Bibliothek (C++11)

 

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 The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.

iota (C++11)

accumulate

inner_product

adjacent_difference

partial_sum

 

Gemeinsame mathematischen Funktionen

Funktionen Original: Functions The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
Grundlegende Bedienung Original: Basic operations The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
abs(int) labs llabs imaxabs (C++11) abs(float) fabs div ldiv lldiv imaxdiv (C++11) fmod	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 The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
exp exp2 (C++11) expm1 (C++11)	log log10 log1p (C++11) log2 (C++11)
Power-Funktionen Original: Power functions The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
sqrt cbrt (C++11)	hypot (C++11) pow
Trigonometrische und hyperbolische Funktionen Original: Trigonometric and hyperbolic functions The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
sin cos tan asin acos atan atan2	sinh cosh tanh asinh (C++11) acosh (C++11) atanh (C++11)

Fehler-und Gamma-Funktionen Original: Error and gamma functions The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
erf (C++11) erfc (C++11)	lgamma (C++11) tgamma (C++11)
Nächste ganze Zahl Fließkomma-Operationen Original: Nearest integer floating point operations The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
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 Original: Floating point manipulation functions The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
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 Original: Classification/Comparison The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
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 Original: Macro constants The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
HUGE_VALF HUGE_VAL HUGE_VALL (C++11) (C++11) INFINITY (C++11) NAN (C++11) math_errhandling MATH_ERRNO MATH_ERREXCEPT (C++11)	FP_NORMAL FP_SUBNORMAL FP_ZERO FP_INFINITE FP_NAN (C++11) (C++11) (C++11) (C++11) (C++11)

 

Funktionen

definiert in Header <cmath>
Grundlegende Bedienung Original: Basic operations The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
abs(int) labs llabs imaxabs (C++11)	berechnet Absolutwert eines Integralwerts (|x|) Original: computes absolute value of an integral value (|x|) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
abs(float) fabs	Absolutwert einer Fließkommazahl (|x|) Original: absolute value of a floating point value (|x|) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
div ldiv lldiv imaxdiv (C++11)	der Quotient und Rest der ganzzahligen Division Original: the quotient and remainder of integer division The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
fmod	Rest der Gleitkomma Teilungsoperation Original: remainder of the floating point division operation The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
remainder (C++11)	unterzeichnet Rest der Teilungsoperation Original: signed remainder of the division operation The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
remquo (C++11)	unterzeichnet Rest sowie die letzten drei Bits der Division Original: signed remainder as well as the three last bits of the division operation The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
fma (C++11)	Fused Multiply-Add-Operation Original: fused multiply-add operation The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
fmax (C++11)	größere von zwei Fließkommazahlen Original: larger of two floating point values The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
fmin (C++11)	kleinere von zwei Gleitkommazahlen Original: smaller of two floating point values The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
fdim (C++11)	positive Differenz zweier Fließkommazahlen (max(0, x-y)) Original: positive difference of two floating point values (max(0, x-y)) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
nan nanf nanl (C++11) (C++11) (C++11)	not-a-number (NaN) Original: not-a-number (NaN) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
Exponentialfunktionen Original: Exponential functions The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
exp	Renditen e an die angegebene Leistung (ex) angehoben Original: returns e raised to the given power (ex) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
exp2 (C++11)	Renditen 2 an die angegebene Leistung (2x) angehoben Original: returns 2 raised to the given power (2x) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
expm1 (C++11)	Renditen e an die angegebene Potenz, minus eins (ex-1) Original: returns e raised to the given power, minus one (ex-1) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
log	berechnet natürlichen (base e) Logarithmus (zur Basis e) (ln(x)) Original: computes natural (base e) logarithm (to base e) (ln(x)) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
log10	berechnet gemeinsamen (base 10) Logarithmus (log10(x)) Original: computes common (base 10) logarithm (log10(x)) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
log1p (C++11)	natürlichen Logarithmus (zur Basis e) von 1 plus die angegebene Anzahl Original: natural logarithm (to base e) of 1 plus the given number The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
log2 (C++11)	Logarithmus zur Basis 2 der bestimmten Anzahl Original: base 2 logarithm of the given number The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
Power-Funktionen Original: Power functions The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
sqrt	berechnet Quadratwurzel (√x) Original: computes square root (√x) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
cbrt (C++11)	berechnet Kubikwurzel (3√x) Original: computes cubic root (3√x) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
hypot (C++11)	berechnet Quadratwurzel der Summe der Quadrate von zwei gegebenen Zahlen (√x2 +y2 ) Original: computes square root of the sum of the squares of two given numbers (√x2 +y2 ) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
pow	wirft eine Reihe an die angegebene Leistung (xy) Original: raises a number to the given power (xy) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
Trigonometrische Funktionen Original: Trigonometric functions The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
sin	berechnet Sinus (sin(x)) Original: computes sine (sin(x)) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
cos	berechnet Cosinus (cos(x)) Original: computes cosine (cos(x)) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
tan	berechnet Tangente (tan(x)) Original: computes tangent (tan(x)) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
asin	berechnet Arcussinus (arcsin(x)) Original: computes arc sine (arcsin(x)) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
acos	berechnet Arcuscosinus (arccos(x)) Original: computes arc cosine (arccos(x)) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
atan	berechnet Arcustangens (arctan(x)) Original: computes arc tangent (arctan(x)) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
atan2	Arcustangens mit Schildern Quadranten bestimmen Original: arc tangent, using signs to determine quadrants The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
Hyperbolische Funktionen Original: Hyperbolic functions The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
sinh	berechnet Hyperbelsinus (sh(x)) Original: computes hyperbolic sine (sh(x)) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
cosh	berechnet Hyperbelkosinus (ch(x)) Original: computes hyperbolic cosine (ch(x)) The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
tanh	Hyperbeltangens Original: hyperbolic tangent The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
asinh (C++11)	hyperbolischen Arkussinus Original: hyperbolic arc sine The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
acosh (C++11)	hyperbolischen Arkuskosinus Original: hyperbolic arc cosine The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
atanh (C++11)	hyperbolischen Arcustangens Original: hyperbolic arc tangent The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
Fehler-und Gamma-Funktionen Original: Error and gamma functions The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
erf (C++11)	Fehlerfunktion Original: error function The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
erfc (C++11)	komplementäre Fehlerfunktion Original: complementary error function The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
lgamma (C++11)	natürlichen Logarithmus der Gamma-Funktion Original: natural logarithm of the gamma function The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
tgamma (C++11)	Gamma-Funktion Original: gamma function The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
Nächste ganze Zahl Fließkomma-Operationen Original: Nearest integer floating point operations The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
ceil	nächste ganze Zahl nicht kleiner als der gegebene Wert Original: nearest integer not less than the given value The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
floor	nächste ganze Zahl nicht größer als der gegebene Wert Original: nearest integer not greater than the given value The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
trunc (C++11)	nächste Ganzzahl nicht betragsmäßig größer als der gegebene Wert Original: nearest integer not greater in magnitude than the given value The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
round lround llround (C++11) (C++11) (C++11)	nächste ganze Zahl, Rundung von Null weg in halbwegs Fällen Original: nearest integer, rounding away from zero in halfway cases The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
nearbyint (C++11)	nächste ganze Zahl mit aktuellen Rundung Modus Original: nearest integer using current rounding mode The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
rint lrint llrint (C++11) (C++11) (C++11)	nächste ganze Zahl mit aktuellen Rundung Modus mit Ausnahme, wenn das Ergebnis unterscheidet Original: nearest integer using current rounding mode with exception if the result differs The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
Floating-Point-Manipulation Funktionen Original: Floating point manipulation functions The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
frexp	zersetzt eine Zahl in Mantisse und einer Leistung von 2 Original: decomposes a number into significand and a power of 2 The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
ldexp	multipliziert eine Zahl durch 2 potenziert Original: multiplies a number by 2 raised to a power The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
modf	zersetzt eine Zahl in ganzzahlige und Bruchteile Original: decomposes a number into integer and fractional parts The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
scalbn scalbln (C++11) (C++11)	multipliziert eine Zahl durch FLT_RADIX potenziert Original: multiplies a number by FLT_RADIX raised to a power The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
ilogb (C++11)	extrahiert Exponent der Zahl Original: extracts exponent of the number The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
logb (C++11)	extrahiert Exponent der Zahl Original: extracts exponent of the number The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
nextafter nexttoward (C++11) (C++11)	nächsten darstellbaren Gleitkommawert zum angegebenen Wert Original: next representable floating point value towards the given value The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
copysign (C++11)	kopiert das Vorzeichen einer Gleitkommazahl Original: copies the sign of a floating point value The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
Klassifizierung und Vergleich Original: Classification and comparison The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
fpclassify (C++11)	kategorisiert den angegebenen Gleitkommawert Original: categorizes the given floating point value The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
isfinite (C++11)	prüft, ob die angegebene Zahl hat endlichen Wert Original: checks if the given number has finite value The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
isinf (C++11)	prüft, ob die angegebene Zahl unendlich ist Original: checks if the given number is infinite The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
isnan (C++11)	prüft, ob die angegebene Zahl ist NaN Original: checks if the given number is NaN The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
isnormal (C++11)	prüft, ob die gegebene Anzahl normal ist Original: checks if the given number is normal The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
signbit (C++11)	prüft, ob die angegebene Zahl negativ ist Original: checks if the given number is negative The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
isgreater (C++11)	prüft, ob die erste Gleitkomma-Argument größer als die zweite Original: checks if the first floating-point argument is greater than the second The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
isgreaterequal (C++11)	prüft, ob die erste Gleitkomma-Argument größer oder gleich als die zweite Original: checks if the first floating-point argument is greater or equal than the second The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
isless (C++11)	prüft, ob die erste Gleitkomma-Argument kleiner als die zweite Original: checks if the first floating-point argument is less than the second The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
islessequal (C++11)	prüft, ob die erste Gleitkomma-Argument kleiner oder gleich als die zweite Original: checks if the first floating-point argument is less or equal than the second The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
islessgreater (C++11)	prüft, ob die erste Gleitkomma-Argument kleiner oder größer als die zweite Original: checks if the first floating-point argument is less or greater than the second The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)
isunordered (C++11)	prüft, ob zwei Fließkommazahlen ungeordnete werden Original: checks if two floating-point values are unordered The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Funktion)

Types

definiert in Header <cmath>
float_t	effizienteste Gleitkommatyp mindestens so breit wie float Original: most efficient floating-point type at least as wide as float The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
double_t	effizienteste Gleitkommatyp mindestens so breit wie double Original: most efficient floating-point type at least as wide as double The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
definiert in Header <cstdlib>
div_t	Strukturtyp, der std::div Funktion zurück Original: structure type, return of the std::div function The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
ldiv_t	Strukturtyp, der std::ldiv Funktion zurück Original: structure type, return of the std::ldiv function The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
lldiv_t	Strukturtyp, der std::lldiv Funktion zurück Original: structure type, return of the std::lldiv function The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
definiert in Header <cinttypes>
imaxdiv_t	Strukturtyp, der std::imaxdiv Funktion zurück Original: structure type, return of the std::imaxdiv function The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.

Makro Konstanten

definiert in Header <cmath>
HUGE_VALF HUGE_VAL HUGE_VALL (C++11) (C++11)	zeigt den Überlauf für float, double und long double sind Original: indicates the overflow value for float, double and long double respectively The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Makro konstant)
INFINITY (C++11)	wertet positiv unendlich oder den Wert garantiert overflow a float Original: evaluates to positive infinity or the value guaranteed to overflow a float The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Makro konstant)
NAN (C++11)	wird zu einem ruhigen NaN vom Typ float Original: evaluates to a quiet NaN of type float The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Makro konstant)
math_errhandling MATH_ERRNO MATH_ERREXCEPT (C++11) (C++11) (C++11)	definiert die Fehlerbehandlung durch die üblichen mathematischen Funktionen verwendet Original: defines the error handling mechanism used by the common mathematical functions The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Makro konstant)
Klassifizierung Original: Classification The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions.
FP_NORMAL FP_SUBNORMAL FP_ZERO FP_INFINITY FP_NAN (C++11) (C++11) (C++11) (C++11) (C++11)	deutet auf eine Floating-Point-Kategorie Original: indicates a floating-point category The text has been machine-translated via Google Translate. You can help to correct and verify the translation. Click here for instructions. (Makro konstant)
definiert in Header <cfloat>