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Function Description

KML_MATH is a basic math function library implemented in the C language.

The calculation result of the high-performance version is benchmarked against the open-source math library MPFR, and the calculation result of the high-precision version is benchmarked against the x86 math library.

Function Class

Function

Description

High Performance

High Precision

Trigonometric functions

sin

Sine function

Single-precision/double-precision real number

Single-precision/double-precision complex number

Single-precision/double-precision real number

Single-precision/double-precision complex number

cos

Cosine function

Single-precision/double-precision real number

Single-precision/double-precision complex number

Single-precision/double-precision real number

Single-precision/double-precision complex number

sincos

Sine and cosine function

Single-precision/double-precision real number

None

tan

Tangent function

Single-precision/double-precision real number

Single-precision/double-precision complex number

Single-precision/double-precision real number

asin

Arcsine function

Single-precision/double-precision real number

Single-precision/double-precision/long double-precision real number

asind

Arcsine function (The input parameter is an angle.)

None

Single-precision/double-precision real number

acos

Arccosine function

Single-precision/double-precision real number

Single-precision/double-precision real number

atan

Arctangent function

Single-precision/double-precision real number

Single-precision/double-precision real number

atan2

Arctangent function

Single-precision/double-precision real number

Single-precision/double-precision/long double-precision real number

atan2d

Arctangent function (The input parameter is an angle.)

None

Long double-precision real number

cosd

Cosine function (The input parameter is an angle.)

None

Single-precision/double-precision/long double-precision real number

Hyperbolic functions

sinh

Hyperbolic sine function

Single-precision/double-precision real number

Single-precision/double-precision real number

Single-precision/double-precision complex number

cosh

Hyperbolic cosine function

Single-precision/double-precision real number

Single-precision/double-precision real number

Single-precision/double-precision complex number

tanh

Hyperbolic tangent function

Single-precision/double-precision real number

Single-precision/double-precision real number

asinh

Inverse hyperbolic sine function

Single-precision/double-precision real number

None

acosh

Inverse hyperbolic cosine function

Single-precision/double-precision real number

None

atanh

Inverse hyperbolic tangent function

Single-precision/double-precision real number

None

Exponential and logarithmic functions

exp

Exponential function (base e)

Single-precision/double-precision real number

Single-precision/double-precision/long double-precision real number

Single-precision/double-precision complex number

exp2

Exponential function (base 2)

Single-precision/double-precision real number

Single-precision/double-precision real number

log

Logarithmic function (base e)

Single-precision/double-precision real number

Single-precision/double-precision real number

Double-precision complex number

log2

Logarithmic function (base 2)

Single-precision/double-precision real number

None

log10

Logarithmic function (base 10)

Single-precision/double-precision real number

Single-precision/double-precision real number

Power and root functions

pow

Power function

Single-precision/double-precision real number

Single-precision/double-precision real number

Double-precision complex number

powr?i?

Power function

None

Double-precision real number

sqrt

Square root function

Single-precision/double-precision real number

Single-precision/double-precision real number

Single-precision/double-precision complex number

cbrt

Cubic root function

Single-precision/double-precision real number

Single-precision/double-precision real number

Miscellaneous functions

fmod

Performs the modulo operation on two floating-point numbers.

None

Single-precision/double-precision real number

tgamma

Gamma function

Single-precision real number

Single-precision real number

Special functions

cabs

Computes the absolute value of a complex number.

None

Single-precision/double-precision/long double-precision complex number

erf

Error function

None

Single-precision/double-precision real number

gamma

Computes the natural logarithm of the absolute gamma value of x.

None

Single-precision real number

Rounding functions (nearest integer)

ceil

Computes the integer value rounded toward plus infinity for each vector element.

None

Single-precision/double-precision real number

floor

Computes the integer value rounded toward minus infinity for each vector element.

None

Single-precision/double-precision real number

nearbyint

Computes the rounded integer value in the current rounding mode for each vector element.

None

Single-precision/double-precision real number

round

Computes the integer value rounded to nearest for each vector element.

None

Single-precision/double-precision real number

trunc

Computes the integer value rounded toward zero for each vector element.

None

Single-precision/double-precision real number

rint

Computes the rounded integer value in the current rounding mode.

None

Single-precision/double-precision real number