**Overview of Functions**

Most of the mathematical functions are placed in `math.h`

header (`cmath`

header in C++). The functions that operate on integers, such as `abs`

, `labs`

, `div`

, and `ldiv`

, are instead specified in the `stdlib.h`

header (`cstdlib`

header in C++).

Any functions that operate on angles use radians as the unit of angle.

Not all functions are available in C89 version of the C standard. For those that are, the functions accept only type `double`

for the floating-point arguments. In C99, this limitation was fixed by introducing new sets of functions that work on `float`

and `long double`

arguments. Those functions are identified by `f`

and `l`

suffixes respectively.

Function | Description | |
---|---|---|

`abs` `labs` `llabs` |
computes absolute value of an integer value | |

`fabs` |
computes absolute value of a floating point value | |

`div` `ldiv` `lldiv` |
computes the quotient and remainder of integer division | |

`fmod` |
remainder of the floating point division operation | |

`remainder` |
signed remainder of the division operation | |

`remquo` |
signed remainder as well as the three last bits of the division operation | |

`fma` |
fused multiply-add operation | |

`fmax` |
larger of two floating point values | |

`fmin` |
smaller of two floating point values | |

`fdim` |
positive difference of two floating point values | |

`nan` `nanf` `nanl` |
returns a not-a-number (NaN) | |

Exponential functions |
`exp` |
returns e raised to the given power |

`exp2` |
returns 2 raised to the given power | |

`expm1` |
returns e raised to the given power, minus one | |

`log` |
computes natural (base e) logarithm (to base e) | |

`log2` |
computes common (base 2) logarithm | |

`log10` |
computes common (base 10) logarithm | |

`log1p` |
computes natural logarithm (to base e) of 1 plus the given number | |

`ilogb` |
extracts exponent of the number | |

`logb` |
extracts exponent of the number | |

Power functions |
`sqrt` |
computes square root |

`cbrt` |
computes cubic root | |

`hypot` |
computes square root of the sum of the squares of two given numbers | |

`pow` |
raises a number to the given power | |

Trigonometric functions |
`sin` |
computes sine |

`cos` |
computes cosine | |

`tan` |
computes tangent | |

`asin` |
computes arc sine | |

`acos` |
computes arc cosine | |

`atan` |
computes arc tangent | |

`atan2` |
computes arc tangent, using signs to determine quadrants | |

Hyperbolic functions |
`sinh` |
computes hyperbolic sine |

`cosh` |
computes hyperbolic cosine | |

`tanh` |
computes hyperbolic tangent | |

`asinh` |
computes hyperbolic arc sine | |

`acosh` |
computes hyperbolic arc cosine | |

`atanh` |
computes hyperbolic arc tangent | |

Error and gamma functions |
`erf` |
computes error function |

`erfc` |
computes complementary error function | |

`lgamma` |
computes natural logarithm of the gamma function | |

`tgamma` |
computes gamma function | |

Nearest integer floating point operations |
`ceil` |
returns the nearest integer not less than the given value |

`floor` |
returns the nearest integer not greater than the given value | |

`trunc` |
returns the nearest integer not greater in magnitude than the given value | |

`round` `lround` `llround` |
returns the nearest integer, rounding away from zero in halfway cases | |

`nearbyint` |
returns the nearest integer using current rounding mode | |

`rint` `lrint` `llrint` |
returns the nearest integer using current rounding mode with exception if the result differs | |

Floating point manipulation functions |
`frexp` |
decomposes a number into significand and a power of 2 |

`ldexp` |
multiplies a number by 2 raised to a power | |

`modf` |
decomposes a number into integer and fractional parts | |

`scalbn` `scalbln` |
multiplies a number by FLT_RADIX raised to a power | |

`nextafter` `nexttoward` |
returns next representable floating point value towards the given value | |

`copysign` |
copies the sign of a floating point value | |

Classification | `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 |

Read more about this topic: CABS

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