gl3n.math

Provides nearly all GLSL functions, according to spec 4.1, it also publically imports other useful functions (from std.math, core.stdc.math, std.alogrithm) so you only have to import this file to get all mathematical functions you need.

Publically imports: PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, abs, floor, trunc, round, ceil, modf, fmodf, min, max.

Members

Aliases

fract alias fract = floor: Undocumented in source.
roundEven alias roundEven = round: Undocumented in source.

Functions

abs T abs(T t): Calculates the absolute value.
abs T abs(T vec)
T abs(T quat): Calculates the absolute value per component.
almost_equal bool almost_equal(T a, S b, float epsilon): Compares to values and returns true if the difference is epsilon or smaller.
almost_equal bool almost_equal(T a, T b, float epsilon): Undocumented in source. Be warned that the author may not have intended to support it.
cdegrees real cdegrees(): Compiletime version of degrees.
clamp CommonType!(T1, T2, T3) clamp(T1 x, T2 min_val, T3 max_val): Returns min(max(x, min_val), max_val), Results are undefined if min_val > max_val.
cradians real cradians(): Compiletime version of radians.
degrees real degrees(real radians): Converts radians to degrees.
fmodf float fmodf(float x, float y): Undocumented in source but is binding to C. You might be able to learn more by searching the web for its name.
inversesqrt real inversesqrt(real x): Returns 1/sqrt(x), results are undefined if x <= 0.
mod T mod(T x, T y): Modulus. Returns x - y * floor(x/y).
radians real radians(real degrees): Converts degrees to radians.
sign float sign(T x): Returns 1.0 if x > 0, 0.0 if x = 0, or -1.0 if x < 0.
smoothstep CommonType!(T1, T2, T3) smoothstep(T1 edge0, T2 edge1, T3 x): Returns 0.0 if x <= edge0 and 1.0 if x >= edge1 and performs smooth hermite interpolation between 0 and 1 when edge0 < x < edge1. This is useful in cases where you would want a threshold function with a smooth transition.
step float step(T1 edge, T2 x): Returns 0.0 if x < edge, otherwise it returns 1.0.

Imports

PI (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
acos (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
acosh (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
asin (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
asinh (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
atan (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
atan2 (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
atanh (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
ceil (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
cos (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
cosh (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
exp (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
exp2 (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
floor (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
log (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
log2 (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
max (from std.algorithm) public import std.algorithm : min, max;: Undocumented in source.
min (from std.algorithm) public import std.algorithm : min, max;: Undocumented in source.
modf (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
pow (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
round (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
sin (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
sinh (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
sqrt (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
tan (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
tanh (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.
trunc (from std.math) public import std.math : PI, sin, cos, tan, asin, acos, atan, atan2, sinh, cosh, tanh, asinh, acosh, atanh, pow, exp, log, exp2, log2, sqrt, floor, trunc, round, ceil, modf;: Undocumented in source.

Variables

PI_180 enum real PI_180;: PI / 180 at compiletime, used for degrees/radians conversion.
_180_PI enum real _180_PI;: 180 / PI at compiletime, used for degrees/radians conversion.

gl3n.math

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