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

	fpclassify	Categorizes the given floating point value
	isfinite	Checks if the given number has finite value
	isinf	Checks if the given number is infinite
	isnan	Checks if the given number is NaN
	isnormal	Checks if the given number is normal
	signbit	Checks if the given number is negative
	isgreater	Checks if the first floating-point argument is greater then the second
	isgreaterequal	Checks if the first floating-point argument is greater or equal then the second
	isless	Checks if the first floating-point argument is less than the second
	islessequal	Checks if the first floating-point argument is less or equal than the second
	islessgreater	Checks if the first floating-point argument is less or greater than the second
	isunordered	Checks if two floating-point values are unordered

Types

Defined in header <cstdlib>

	div_t	Structure type, return of the std::div function
	ldiv_t	Structure type, return of the std::ldiv function
	lldiv_t	Structure type, return of the std::lldiv function
	imaxdiv_t	Structure type, return of the std::imaxdiv function
	float_t	Most efficient floating-point type at least as wide as float
	double_t	Most 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
	INFINITY	Evaluates to positive infinity or the value guaranteed to overflow a float
	NAN	Evaluates 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