Skip to main content

Common mathematical functions

Functions​

Defined in header <cstdlib>

abs
labs
llabs
Computes absolute value of an integral value (|x|)
div
ldiv
lldiv
Computes quotient and remainder of integer division

Defined in header <cinttypes>

abs
imaxabs
Computes absolute value of an integral value (|x|)
div
imaxdiv
Computes quotient and remainder of integer division

Defined in header <cmath>

Basic operations​

abs
fabs
fabsf
fabsl
Absolute value of a floating point value (|x|)
fmod
fmodf
fmodl
Remainder of the floating point division operation
remainder
remainderf
remainderl
Signed remainder of the division operation
remquo
remquof
remquol
Signed remainder as well as the three last bits of the division operation
fma
fmaf
fmal
Fused multiply-add operation
fmax
fmaxf
fmaxl
Larger of two floating-point values
fmin
fminf
fminl
Smaller of two floating point values
fdim
fdimf
fdiml
Positive difference of two floating point values (max(0, x - y))
nan
nanf
nanl
not-a-number (NaN)

Exponential functions​

exp
expf
expl
Returns e raised to the given power (ex)
exp2
exp2f
exp2l
Returns 2 raised to the given power (2x)
expm1
expm1f
expm1l
Returns e raised to the given power, minues one (ex - 1)
log
logf
logl
Computes natural (base e) logarithm (ln x)
log10
log10f
log10l
Computes common (base 10) logarithm (log10x)
log2
log2f
log2l
Base 2 logarithm of the given number (log2x)
log1p
log1pf
log1pl
Natural logarithm (to base e) of 1 plus the given number(ln(1 + x))

Power functions​

pow
powf
powl
Raises a number to the given power (xy)
sqrt
sqrtf
sqrtl
Computes square root (√x)
cbrt
cbrtf
cbrtl
Computes cubic root (∛x)
hypot
hypotf
hypotl
Computes square root of the sum of the squares of two or three given numbers (√x2+y2)

Trigonometric functions​

sin
sinf
sinl
Computes sine (sin x)
cos
cosf
cosl
Computes cosine (cos x)
tan
tanf
tanl
Computes tangent (tan x)
asin
asinf
asinl
Computes arc sine (arcsin x)
acos
acosf
acosl
Computes arc cosine (arccos x)
atan
atanf
atanl
Computes arc tangent (arctan x)
atan2
atan2f
atan2l
Arc tangent, using signs to determine quadrants

Hyperbolic functions​

sinh
sinhf
sinhl
Computes hyperbolic sine (sinh x)
cosh
coshf
coshl
Computes hyperbolic cosine (cosh x)
tanh
tanhf
tanhl
Computes hyperbolic tangent (tanh x)
asinh
asinhf
asinhl
Computes the inverse hyperbolic sine (arsinh x)
acosh
acoshf
acoshl
Computes the inverse hyperbolic cosine (arcosh x)
atanh
atanhf
atanhl
Computes the inverse hyperbolic tangent (artanh x)

Error and gamma functions​

erf
erff
erfl
Error function
erfc
erfcf
erfcl
Complementary error function
tgamma
tgammaf
tgammal
Gamma function
lgamma
lgammaf
lgammal
Natural logarithm of the gamma function

Nearest integer floating point operations​

ceil
ceilf
ceill
Nearest integer not less than the given value
floor
floorf
floorl
Nearest integer not greater than the given value
trunc
truncf
truncl
Nearest integer not greater in magnitude than the given value
round
roundf
roundl
lround
lroundf
lroundl
llround
llroundf
llroundl
Nearest integer, rounding away from zero in halfway cases
nearbyint
nearbyintf
nearbyintl
Nearest integer using current rounding mode
rint
rintf
rintl
lrint
lrintf
lrintl
llrint
llrintf
llrintl
Nearest integer using current rounding mode with exception if t he result differs

Floating point manipulation functions​

frexp
frexpf
frexpl
Decomposes a number into significand and a power of 2
ldexp
ldexpf
ldexpl
Multiplies a number by 2 raised to a power
modf
modff
modfl
Decomposes a number into integer and fractional parts
scalbn
scalbnf
scalbnl
scalbln
scalblnf
scalblnl
Multiplies a number by FLT_RADIX raised to a power
ilogb
ilogbf
ilogbl
Extracts exponent of the number
logb
logbf
logbl
Extracts exponent of the number
nextafter
nextafterf
nextafterl
nexttoward
nexttowardf
nexttowardl
Next representable floating point value towards the given value
copysign
copysignf
copysignl
Copies the sign of a floating point value

Classification and comparison​

fpclassifyCategorizes the given floating point value
isfiniteChecks if the given number has finite value
isinfChecks if the given number is infinite
isnanChecks if the given number is NaN
isnormalChecks if the given number is normal
signbitChecks if the given number is negative
isgreaterChecks if the first floating-point argument is greater then the second
isgreaterequalChecks if the first floating-point argument is greater or equal then the second
islessChecks if the first floating-point argument is less than the second
islessequalChecks if the first floating-point argument is less or equal than the second
islessgreaterChecks if the first floating-point argument is less or greater than the second
isunorderedChecks if two floating-point values are unordered

Types​

Defined in header <cstdlib>

div_tStructure type, return of the std::div function
ldiv_tStructure type, return of the std::ldiv function
lldiv_tStructure type, return of the std::lldiv function
imaxdiv_tStructure type, return of the std::imaxdiv function
float_tMost efficient floating-point type at least as wide as float
double_tMost efficient floating-point type at least as wide as double

Macro constants​

Defined in header <cmath>

HUGE_VALF
HUGE_VAL
HUGE_VALL
Indicates the overflow value for float, double and long double respectively
INFINITYEvaluates to positive infinity or the value guaranteed to overflow a float
NANEvaluates to a quiet NaN of type float
math_errhandling
MATH_ERRNO
MATH_ERREXCEPT
Defines the error handling mechanism used by the common mathematical functions

Classification​

FP_NORMAL
FP_SUBNORMAL
FP_ZERO
FP_INFINITE
FP_NAN
Indicates a floating-point category

Common mathematical functions

Functions​

Defined in header <cstdlib>

abs
labs
llabs
Computes absolute value of an integral value (|x|)
div
ldiv
lldiv
Computes quotient and remainder of integer division

Defined in header <cinttypes>

abs
imaxabs
Computes absolute value of an integral value (|x|)
div
imaxdiv
Computes quotient and remainder of integer division

Defined in header <cmath>

Basic operations​

abs
fabs
fabsf
fabsl
Absolute value of a floating point value (|x|)
fmod
fmodf
fmodl
Remainder of the floating point division operation
remainder
remainderf
remainderl
Signed remainder of the division operation
remquo
remquof
remquol
Signed remainder as well as the three last bits of the division operation
fma
fmaf
fmal
Fused multiply-add operation
fmax
fmaxf
fmaxl
Larger of two floating-point values
fmin
fminf
fminl
Smaller of two floating point values
fdim
fdimf
fdiml
Positive difference of two floating point values (max(0, x - y))
nan
nanf
nanl
not-a-number (NaN)

Exponential functions​

exp
expf
expl
Returns e raised to the given power (ex)
exp2
exp2f
exp2l
Returns 2 raised to the given power (2x)
expm1
expm1f
expm1l
Returns e raised to the given power, minues one (ex - 1)
log
logf
logl
Computes natural (base e) logarithm (ln x)
log10
log10f
log10l
Computes common (base 10) logarithm (log10x)
log2
log2f
log2l
Base 2 logarithm of the given number (log2x)
log1p
log1pf
log1pl
Natural logarithm (to base e) of 1 plus the given number(ln(1 + x))

Power functions​

pow
powf
powl
Raises a number to the given power (xy)
sqrt
sqrtf
sqrtl
Computes square root (√x)
cbrt
cbrtf
cbrtl
Computes cubic root (∛x)
hypot
hypotf
hypotl
Computes square root of the sum of the squares of two or three given numbers (√x2+y2)

Trigonometric functions​

sin
sinf
sinl
Computes sine (sin x)
cos
cosf
cosl
Computes cosine (cos x)
tan
tanf
tanl
Computes tangent (tan x)
asin
asinf
asinl
Computes arc sine (arcsin x)
acos
acosf
acosl
Computes arc cosine (arccos x)
atan
atanf
atanl
Computes arc tangent (arctan x)
atan2
atan2f
atan2l
Arc tangent, using signs to determine quadrants

Hyperbolic functions​

sinh
sinhf
sinhl
Computes hyperbolic sine (sinh x)
cosh
coshf
coshl
Computes hyperbolic cosine (cosh x)
tanh
tanhf
tanhl
Computes hyperbolic tangent (tanh x)
asinh
asinhf
asinhl
Computes the inverse hyperbolic sine (arsinh x)
acosh
acoshf
acoshl
Computes the inverse hyperbolic cosine (arcosh x)
atanh
atanhf
atanhl
Computes the inverse hyperbolic tangent (artanh x)

Error and gamma functions​

erf
erff
erfl
Error function
erfc
erfcf
erfcl
Complementary error function
tgamma
tgammaf
tgammal
Gamma function
lgamma
lgammaf
lgammal
Natural logarithm of the gamma function

Nearest integer floating point operations​

ceil
ceilf
ceill
Nearest integer not less than the given value
floor
floorf
floorl
Nearest integer not greater than the given value
trunc
truncf
truncl
Nearest integer not greater in magnitude than the given value
round
roundf
roundl
lround
lroundf
lroundl
llround
llroundf
llroundl
Nearest integer, rounding away from zero in halfway cases
nearbyint
nearbyintf
nearbyintl
Nearest integer using current rounding mode
rint
rintf
rintl
lrint
lrintf
lrintl
llrint
llrintf
llrintl
Nearest integer using current rounding mode with exception if t he result differs

Floating point manipulation functions​

frexp
frexpf
frexpl
Decomposes a number into significand and a power of 2
ldexp
ldexpf
ldexpl
Multiplies a number by 2 raised to a power
modf
modff
modfl
Decomposes a number into integer and fractional parts
scalbn
scalbnf
scalbnl
scalbln
scalblnf
scalblnl
Multiplies a number by FLT_RADIX raised to a power
ilogb
ilogbf
ilogbl
Extracts exponent of the number
logb
logbf
logbl
Extracts exponent of the number
nextafter
nextafterf
nextafterl
nexttoward
nexttowardf
nexttowardl
Next representable floating point value towards the given value
copysign
copysignf
copysignl
Copies the sign of a floating point value

Classification and comparison​

fpclassifyCategorizes the given floating point value
isfiniteChecks if the given number has finite value
isinfChecks if the given number is infinite
isnanChecks if the given number is NaN
isnormalChecks if the given number is normal
signbitChecks if the given number is negative
isgreaterChecks if the first floating-point argument is greater then the second
isgreaterequalChecks if the first floating-point argument is greater or equal then the second
islessChecks if the first floating-point argument is less than the second
islessequalChecks if the first floating-point argument is less or equal than the second
islessgreaterChecks if the first floating-point argument is less or greater than the second
isunorderedChecks if two floating-point values are unordered

Types​

Defined in header <cstdlib>

div_tStructure type, return of the std::div function
ldiv_tStructure type, return of the std::ldiv function
lldiv_tStructure type, return of the std::lldiv function
imaxdiv_tStructure type, return of the std::imaxdiv function
float_tMost efficient floating-point type at least as wide as float
double_tMost efficient floating-point type at least as wide as double

Macro constants​

Defined in header <cmath>

HUGE_VALF
HUGE_VAL
HUGE_VALL
Indicates the overflow value for float, double and long double respectively
INFINITYEvaluates to positive infinity or the value guaranteed to overflow a float
NANEvaluates to a quiet NaN of type float
math_errhandling
MATH_ERRNO
MATH_ERREXCEPT
Defines the error handling mechanism used by the common mathematical functions

Classification​

FP_NORMAL
FP_SUBNORMAL
FP_ZERO
FP_INFINITE
FP_NAN
Indicates a floating-point category