qLibs provides its own math library with a set of APIs to compute common mathematical functions and transformations. The qlibs::ffmath can replace a default math floating-point library, delivering better performance with less code delivering a very close aproximations to the standard library. qlibs::ffmath is very fast and small, it delivers FPU-like performance in pure software. Where available, it even boosts the performance of an FPU for complex mathematical functions.

The list of provided functions and constants:

Classification

qlibs::ffmath::classify() Categorizes the floating-point number
qlibs::ffmath::isNan() Determine if argument is Not-A-Number (NaN)
qlibs::ffmath::isInf() Determine if argument is Infinity.
qlibs::ffmath::isFinite() Determines if the given floating point number has finite value.
qlibs::ffmath::isNormal() Determines if the given floating point number is normal

Basic functions

qlibs::ffmath::sign() Computes the sign function
qlibs::ffmath::absf() Computes the absolute value
qlibs::ffmath::recip() Computes the multiplicative inverse or reciprocal
qlibs::ffmath::sqrt() Computes the square-root
qlibs::ffmath::rSqrt() Computes the reciprocal square-root
qlibs::ffmath::cbrt() Computes the cubic-root
qlibs::ffmath::rCbrt() Computes the reciprocal cubic-root
qlibs::ffmath::rounding() Computes the nearest integer rounding halfway cases away from zero.
qlibs::ffmath::floor() Computes the largest integer value not greater than the given argument.
qlibs::ffmath::ceil() Computes the smallet integer value not greater than the given argument.
qlibs::ffmath::trunc() Computes the nearest integer not greater in magnitude than the given argument.
qlibs::ffmath::frac() Obtain the fractional part
qlibs::ffmath::rem() Computes the floating point remainder after division
qlibs::ffmath::mod() Computes the floating point remainder after division

Trigonometric functions

qlibs::ffmath::sin() Computes the sine in radians
qlibs::ffmath::cos() Computes the cosine in radians
qlibs::ffmath::tan() Computes the tangent in radians
qlibs::ffmath::asin() Computes the principal value of the arc sine
qlibs::ffmath::acos() Computes the principal value of the arc cosine
qlibs::ffmath::atan() Computes the principal value of the arc tangent
qlibs::ffmath::atan2() Computes the arc tangent
qlibs::ffmath::sinh() Computes hyperbolic sine
qlibs::ffmath::cosh() Computes hyperbolic cosine
qlibs::ffmath::tanh() Computes hyperbolic tangent
qlibs::ffmath::asinh() Computes the inverse hyperbolic sine
qlibs::ffmath::acosh() Computes the inverse hyperbolic cosine
qlibs::ffmath::atanh() Computes the inverse hyperbolic tangent
qlibs::ffmath::wrapToPi() Wraps angle in radians, to the interval [−pi, pi]
qlibs::ffmath::wrapTo2Pi() Wraps angle in radians, to the interval [0, 2*pi]
qlibs::ffmath::wrapTo180() Wraps angle in degrees, to the interval [−180, 180]
qlibs::ffmath::wrapTo360() Wraps angle in degrees, to the interval [0, 360]

Exponential functions

qlibs::ffmath::exp2() Computes 2 raised to the given power
qlibs::ffmath::log2() Computes the base 2 logarithm
qlibs::ffmath::exp() Computes the e (Euler's number) raised to the given power
qlibs::ffmath::exp10() Computes the value of 10 raised to the power
qlibs::ffmath::log() Computes the natural (base e) logarithm
qlibs::ffmath::log10() Computes the common (base-10) logarithm
qlibs::ffmath::pow() Computes the power raised to the base number

Special functions

Most special functions are designed to prioritize precision over speed given their applications, and their implementation closely follows that of the C++ standard. qlibs::ffmath provides these special functions to ensure compatibility with compilers that lack them.

qlibs::ffmath::erf() Computes the error function
qlibs::ffmath::erfc() Computes the complementary error function
qlibs::ffmath::rexp() Decomposes given floating point value into a normalized fraction and an integral power of two.
qlibs::ffmath::ldexp() Multiplies a floating point value by the number 2 raised to the power.
qlibs::ffmath::hypot() Computes the square root of the sum of the squares
qlibs::ffmath::nextAfter() Compute the next representable floating-point value following x in the direction of y
qlibs::ffmath::tgamma() Computes the gamma function
qlibs::ffmath::lgamma() Computes the natural logarithm of the gamma function
qlibs::ffmath::factorial() Computes the factorial of the integer part
qlibs::ffmath::assoc_laguerre() Computes the associated Laguerre polynomials
qlibs::ffmath::assoc_legendre() Computes the associated Legendre polynomials
qlibs::ffmath::beta() Computes the Beta function
qlibs::ffmath::comp_ellint_1() Computes the complete elliptic integral of the first kind
qlibs::ffmath::comp_ellint_2() Computes the complete elliptic integral of the second kind
qlibs::ffmath::comp_ellint_3() Computes the complete elliptic integral of the third kind
qlibs::ffmath::ellint_1() Computes the incomplete elliptic integral of the first kind
qlibs::ffmath::ellint_2() Computes the incomplete elliptic integral of the second kind
qlibs::ffmath::ellint_3() Computes the incomplete elliptic integral of the third kind
qlibs::ffmath::expint() Computes the Exponential integral
qlibs::ffmath::hermite() Computes the (physicist's) Hermite polynomials
qlibs::ffmath::laguerre() Computes the non-associated Laguerre polynomials
qlibs::ffmath::legendre() Computes the unassociated Legendre polynomials
qlibs::ffmath::riemann_zeta() Computes the Riemann zeta function
qlibs::ffmath::sph_bessel() Computes the spherical Bessel function of the first kind
qlibs::ffmath::sph_neumann() Computes the spherical Bessel function of the second kind ( spherical Neumann function )
qlibs::ffmath::cyl_bessel_i() Computes the regular modified cylindrical Bessel function
qlibs::ffmath::cyl_bessel_j() Computes the cylindrical Bessel function of the first kind
qlibs::ffmath::cyl_bessel_k() Computes the irregular modified cylindrical Bessel function
qlibs::ffmath::cyl_neumann() Computes the cylinkdrical Neumann function.
qlibs::ffmath::sph_legendre() Computes the spherical associated Legendre function

Constants

qlibs::ffmath::getInf() Returns positive infinity inf as a 32-bit floating point number
qlibs::ffmath::getNan() Returns Not a Number (NaN) nan as a 32-bit floating point number
qlibs::ffmath::FFP_E The base of natural logarithms ( e )
qlibs::ffmath::FFP_LOG2E The base 2 logarithm of e
qlibs::ffmath::FFP_LOG10E The base 10 logarithm of e
qlibs::ffmath::FFP_LN2 The natural logarithm of 2
qlibs::ffmath::FFP_LN10 The natural logarithm of 10
qlibs::ffmath::FFP_PI The circumference of a circle with diameter 1
qlibs::ffmath::FFP_PI_2 Half of π
qlibs::ffmath::FFP_PI_4 A quarter of π
qlibs::ffmath::FFP_1_PI The inverse of π
qlibs::ffmath::FFP_2_PI Twice the inverse of π
qlibs::ffmath::FFP_2_SQRTPI The inverse of the square root of π
qlibs::ffmath::FFP_SQRT2 The square root of 2
qlibs::ffmath::FFP_SQRT1_2 The inverse of square root of 2

Math extra

qlibs::ffmath::lerp() Linear interpolation
qlibs::ffmath::midpoint() Computes the midpoint of two floating-points
qlibs::ffmath::map() Scales the given input from a range to another
qlibs::ffmath::normalize() Normalize the given input to value range between 0 and 1.
qlibs::ffmath::inRangeCoerce() Determines if a value falls within a range and coerces the value to fall within the range
qlibs::ffmath::isEqual() Determines if the parameters given as floating-point values are approximately equal.
qlibs::ffmath::inPolygon() Determines if a point is inside a polygon
qlibs::ffmath::inCircle() Determines if a point is inside a circle