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Common mathematical functions – cppreference.com

Funktionen

definiert in Header <cmath>

Grundlegende Bedienung

Original:

Basic operations

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berechnet Absolutwert eines Integralwerts (|x|)

Original:

computes absolute value of an integral value (|x|)

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(Funktion) [edit]

Absolutwert einer Fließkommazahl (|x|)

Original:

absolute value of a floating point value (|x|)

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(Funktion) [edit]

der Quotient und Rest der ganzzahligen Division

Original:

the quotient and remainder of integer division

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(Funktion) [edit]

Rest der Gleitkomma Teilungsoperation

Original:

remainder of the floating point division operation

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(Funktion) [edit]

(C++11)

unterzeichnet Rest der Teilungsoperation

Original:

signed remainder of the division operation

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(Funktion) [edit]

(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

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(Funktion) [edit]

(C++11)

Fused Multiply-Add-Operation

Original:

fused multiply-add operation

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(Funktion) [edit]

(C++11)

größere von zwei Fließkommazahlen

Original:

larger of two floating point values

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(Funktion) [edit]

(C++11)

kleinere von zwei Gleitkommazahlen

Original:

smaller of two floating point values

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(Funktion) [edit]

(C++11)

positive Differenz zweier Fließkommazahlen (max(0, x-y))

Original:

positive difference of two floating point values (max(0, x-y))

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(Funktion) [edit]

(C++11)
(C++11)
(C++11)

not-a-number (NaN)

Original:

not-a-number (NaN)

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(Funktion) [edit]

Exponentialfunktionen

Original:

Exponential functions

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Renditen e an die angegebene Leistung (ex) angehoben

Original:

returns e raised to the given power (ex)

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(Funktion) [edit]

(C++11)

Renditen 2 an die angegebene Leistung (2x) angehoben

Original:

returns 2 raised to the given power (2x)

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(Funktion) [edit]

(C++11)

Renditen e an die angegebene Potenz, minus eins (ex-1)

Original:

returns e raised to the given power, minus one (ex-1)

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(Funktion) [edit]

berechnet natürlichen (base e) Logarithmus (zur Basis e) (ln(x))

Original:

computes natural (base e) logarithm (to base e) (ln(x))

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(Funktion) [edit]

berechnet gemeinsamen (base 10) Logarithmus (log10(x))

Original:

computes common (base 10) logarithm (log10(x))

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(Funktion) [edit]

(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

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(Funktion) [edit]

(C++11)

Logarithmus zur Basis 2 der bestimmten Anzahl

Original:

base 2 logarithm of the given number

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(Funktion) [edit]

Power-Funktionen

Original:

Power functions

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berechnet Quadratwurzel (x)

Original:

computes square root (x)

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(Funktion) [edit]

(C++11)

berechnet Kubikwurzel (3x)

Original:

computes cubic root (3x)

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(Funktion) [edit]

(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
)

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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]

Trigonometrische Funktionen

Original:

Trigonometric functions

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berechnet Sinus (sin(x))

Original:

computes sine (sin(x))

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(Funktion) [edit]

berechnet Cosinus (cos(x))

Original:

computes cosine (cos(x))

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(Funktion) [edit]

berechnet Tangente (tan(x))

Original:

computes tangent (tan(x))

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(Funktion) [edit]

berechnet Arcussinus (arcsin(x))

Original:

computes arc sine (arcsin(x))

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(Funktion) [edit]

berechnet Arcuscosinus (arccos(x))

Original:

computes arc cosine (arccos(x))

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(Funktion) [edit]

berechnet Arcustangens (arctan(x))

Original:

computes arc tangent (arctan(x))

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(Funktion) [edit]

Arcustangens mit Schildern Quadranten bestimmen

Original:

arc tangent, using signs to determine quadrants

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(Funktion) [edit]

Hyperbolische Funktionen

Original:

Hyperbolic functions

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berechnet Hyperbelsinus (sh(x))

Original:

computes hyperbolic sine (sh(x))

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(Funktion) [edit]

berechnet Hyperbelkosinus (ch(x))

Original:

computes hyperbolic cosine (ch(x))

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(Funktion) [edit]

Hyperbeltangens

Original:

hyperbolic tangent

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(Funktion) [edit]

(C++11)

hyperbolischen Arkussinus

Original:

hyperbolic arc sine

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(Funktion) [edit]

(C++11)

hyperbolischen Arkuskosinus

Original:

hyperbolic arc cosine

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(Funktion) [edit]

(C++11)

hyperbolischen Arcustangens

Original:

hyperbolic arc tangent

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(Funktion) [edit]

Fehler-und Gamma-Funktionen

Original:

Error and gamma functions

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(C++11)

Fehlerfunktion

Original:

error function

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(Funktion) [edit]

(C++11)

komplementäre Fehlerfunktion

Original:

complementary error function

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(Funktion) [edit]

(C++11)

natürlichen Logarithmus der Gamma-Funktion

Original:

natural logarithm of the gamma function

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(Funktion) [edit]

(C++11)

Gamma-Funktion

Original:

gamma function

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(Funktion) [edit]

Nächste ganze Zahl Fließkomma-Operationen

Original:

Nearest integer floating point operations

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nächste ganze Zahl nicht kleiner als der gegebene Wert

Original:

nearest integer not less than the given value

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(Funktion) [edit]

nächste ganze Zahl nicht größer als der gegebene Wert

Original:

nearest integer not greater than the given value

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(Funktion) [edit]

(C++11)

nächste Ganzzahl nicht betragsmäßig größer als der gegebene Wert

Original:

nearest integer not greater in magnitude than the given value

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(Funktion) [edit]

(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

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(Funktion) [edit]

(C++11)

nächste ganze Zahl mit aktuellen Rundung Modus

Original:

nearest integer using current rounding mode

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(Funktion) [edit]

(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

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(Funktion) [edit]

Floating-Point-Manipulation Funktionen

Original:

Floating point manipulation functions

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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]

multipliziert eine Zahl durch 2 potenziert

Original:

multiplies a number by 2 raised to a power

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(Funktion) [edit]

zersetzt eine Zahl in ganzzahlige und Bruchteile

Original:

decomposes a number into integer and fractional parts

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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]

(C++11)

extrahiert Exponent der Zahl

Original:

extracts exponent of the number

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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)

nächsten darstellbaren Gleitkommawert zum angegebenen Wert

Original:

next representable floating point value towards the given value

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(Funktion) [edit]

(C++11)

kopiert das Vorzeichen einer Gleitkommazahl

Original:

copies the sign of a floating point value

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(Funktion) [edit]

Klassifizierung und Vergleich

Original:

Classification and comparison

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kategorisiert den angegebenen Gleitkommawert

Original:

categorizes the given floating point value

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(Funktion) [edit]

(C++11)

prüft, ob die angegebene Zahl hat endlichen Wert

Original:

checks if the given number has finite value

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(Funktion) [edit]

(C++11)

prüft, ob die angegebene Zahl unendlich ist

Original:

checks if the given number is infinite

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(Funktion) [edit]

(C++11)

prüft, ob die angegebene Zahl ist NaN

Original:

checks if the given number is NaN

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(Funktion) [edit]

(C++11)

prüft, ob die gegebene Anzahl normal ist

Original:

checks if the given number is normal

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(Funktion) [edit]

(C++11)

prüft, ob die angegebene Zahl negativ ist

Original:

checks if the given number is negative

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(Funktion) [edit]

(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

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(Funktion) [edit]

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

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(Funktion) [edit]

(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

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(Funktion) [edit]

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

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(Funktion) [edit]

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

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(Funktion) [edit]

prüft, ob zwei Fließkommazahlen ungeordnete werden

Original:

checks if two floating-point values are unordered

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(Funktion) [edit]

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

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double_t

effizienteste Gleitkommatyp mindestens so breit wie double

Original:

most efficient floating-point type at least as wide as double

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definiert in Header <cstdlib>

div_t

Strukturtyp, der std::div Funktion zurück

Original:

structure type, return of the std::div function

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ldiv_t

Strukturtyp, der std::ldiv Funktion zurück

Original:

structure type, return of the std::ldiv function

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lldiv_t

Strukturtyp, der std::lldiv Funktion zurück

Original:

structure type, return of the std::lldiv function

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definiert in Header <cinttypes>

imaxdiv_t

Strukturtyp, der std::imaxdiv Funktion zurück

Original:

structure type, return of the std::imaxdiv function

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Makro Konstanten

definiert in Header <cmath>

zeigt den Überlauf für float, double und long double sind

Original:

indicates the overflow value for float, double and long double respectively

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(Makro konstant) [edit]

(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

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(Makro konstant)

(C++11)

wird zu einem ruhigen NaN vom Typ float

Original:

evaluates to a quiet NaN of type float

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(Makro konstant)

definiert die Fehlerbehandlung durch die üblichen mathematischen Funktionen verwendet

Original:

defines the error handling mechanism used by the common mathematical functions

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(Makro konstant) [edit]

Klassifizierung

Original:

Classification

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(C++11)
(C++11)
(C++11)
(C++11)
(C++11)

deutet auf eine Floating-Point-Kategorie

Original:

indicates a floating-point category

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(Makro konstant) [edit]

definiert in Header <cfloat>