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Common mathematical functions

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< cpp‎ | numeric


 
 
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
Original:
Functions
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Grundlegende Bedienung
Original:
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
Original:
Trigonometric and hyperbolic functions
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sinh
cosh
tanh
asinh(C++11)
acosh(C++11)
atanh(C++11)
Fehler-und Gamma-Funktionen
Original:
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
Original:
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
Original:
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
Original:
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
Original:
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)
 

Inhaltsverzeichnis

[Bearbeiten] Funktionen

Defined 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]

[Bearbeiten] Types

Defined 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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Defined 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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Defined in header <cinttypes>
imaxdiv_t
Strukturtyp, der std::imaxdiv Funktion zurück
Original:
structure type, return of the std::imaxdiv function
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[Bearbeiten] Makro Konstanten

Defined 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]
Defined in header <cfloat>