ae.utils.math

Number stuff

Modules

combinatorics module ae.utils.math.combinatorics: ae.utils.math.combinatorics
distribution module ae.utils.math.distribution: Very basic (and probably buggy) numeric distribution / probability operations. WIP, do not use.
longmul module ae.utils.math.longmul: Wrapper for long integer multiplication / division opcodes
mixed_radix module ae.utils.math.mixed_radix: ae.utils.math.mixed_radix_coding

Members

Aliases

eq alias eq = binary!"==": Aliases of D binary operators as functions. Usable in UFCS.
flipBits alias flipBits = unary!'~': Like the ~ operator, but without int-promotion.
ge alias ge = binary!">=": Undocumented in source.
gt alias gt = binary!">": Undocumented in source.
le alias le = binary!"<=": Undocumented in source.
lt alias lt = binary!"<": Undocumented in source.
ne alias ne = binary!"!=": Undocumented in source.

Functions

average auto average(T args): Averages args.
between bool between(T point, T a, T b): Return true if a <= point <= b.
bitsFor ubyte bitsFor(T n): Returns the number of bits needed to store a number up to n (inclusive).
bound typeof(Ta + Tb + Tc) bound(Ta a, Tb b, Tc c): Return b bound by a and c (i.e., min(max(a, b), c)).
compare int compare(T a, T b): Returns the logical value of sign(b - a) (but does not actually subtract to avoid overflow).
ilog2 ubyte ilog2(T n): Integer log2.
isPowerOfTwo bool isPowerOfTwo(T x): True if x is some power of two, including 1.
itpl T itpl(T low, T high, U r, U rLow, U rHigh): Performs linear interpolation. Returns the point between low and high corresponding to the point where r is between rLow and rHigh.
maximize void maximize(T v, Args args): Saturate v to be the largest value between itself and args.
minimize void minimize(T v, Args args): Saturate v to be the smallest value between itself and args.
nextPowerOfTwo T nextPowerOfTwo(T x): Return the next power of two after x, not including it.
op auto op(T args): Apply a binary operation consecutively to args.
rangeIntersection T rangeIntersection(T a0, T a1, T b0, T b1): Length of intersection of two segments on a line, or 0 if they do not intersect.
roundUpToPowerOfTwo T roundUpToPowerOfTwo(T x): Round up x to the next power of two. If x is already a power of two, returns x.
sign byte sign(T x): Returns the sign of x, i.e, -1 if x < 0, +1 if x > 0,, or 0 if x == 0.
sort2 void sort2(T x, T y): If x > y, swaps x and y.
sqr auto sqr(T x): Return x*x.
sum auto sum(T args): Sums args.
swapBytes T swapBytes(T b): Swap the byte order in an integer value.

Templates

TypeForBits template TypeForBits(uint bits): Get the smallest built-in unsigned integer type that can store this many bits of data.
binary template binary(string op): Wraps a D binary operator into a function.
unary template unary(char op): Wraps a D unary operator into a function. Does not do integer promotion.

ae.utils.math

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