gfm.math.funcs

Useful math functions and range-based statistic computations.

If you need real statistics, consider using the Dstats library.

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Functions

average double average(R r): Arithmetic mean.
clamp T clamp(T x, T min, T max): Clamp x in [min, max], akin to GLSL's clamp.
degrees T degrees(T x): Convert from radians to degrees.
fract T fract(real x)
ilog2 int ilog2(T i): Integer log2 TODO: use bt intrinsics
inverseSqrt T inverseSqrt(T x): SSE approximation of reciprocal square root.
isPowerOf2 bool isPowerOf2(T i)
lerp S lerp(S a, S b, T t): Linear interpolation, akin to GLSL's mix.
lfloor long lfloor(real x): Integer flooring.
ltrunc long ltrunc(real x): Integer truncation.
maxElement double maxElement(R r): Maximum of a range.
minElement double minElement(R r): Minimum of a range.
moduloWrap T moduloWrap(T a, T b): Signed integer modulo a/b where the remainder is guaranteed to be in [0..b[, even if a is negative. Only support positive dividers.
nextPowerOf2 int nextPowerOf2(int i): Computes next power of 2.
nextPowerOf2 long nextPowerOf2(long i): Computes next power of 2.
radians T radians(T x): Convert from degrees to radians.
safeAcos T safeAcos(T x): Safe acos: input clamped to [-1, 1]
safeAsin T safeAsin(T x): Safe asin: input clamped to [-1, 1]
sinOverX T sinOverX(T x): Computes sin(x)/x accurately.
smoothStep T smoothStep(T a, T b, T t): Same as GLSL smoothstep function. See: http://en.wikipedia.org/wiki/Smoothstep
solveCubic int solveCubic(T a, T b, T c, T d, T[] outRoots): Finds the roots of a cubic polynomial a + b x + c x^2 + d x^3 = 0
solveLinear int solveLinear(T a, T b, T root): Find the root of a linear polynomial a + b x = 0
solveQuadratic int solveQuadratic(T a, T b, T c, T[] outRoots): Finds the root roots of a quadratic polynomial a + b x + c x^2 = 0
solveQuartic int solveQuartic(T a, T b, T c, T d, T e, T[] roots): Returns the roots of a quartic polynomial a + b x + c x^2 + d x^3 + e x^4 = 0
standardDeviation double standardDeviation(R r): Standard deviation of a range.
step T step(T edge, T x): Same as GLSL step function. 0.0 is returned if x < edge, and 1.0 is returned otherwise.
variance double variance(R r): Variance of a range.

gfm.math.funcs

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