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Added hyperbolic maths functions

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Chris Palmer
2020-09-15 20:58:39 +01:00
parent ac60057801
commit b11c5914b3
2 changed files with 16 additions and 0 deletions
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utils/maths.scad
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@@ -24,6 +24,14 @@ function sqr(x) = x * x; //! Square x
function radians(degrees) = degrees * PI / 180; //! Convert radians to degrees
function degrees(radians) = radians * 180 / PI; //! Convert degrees to radians
function sinh(x) = (exp(x) - exp(-x)) / 2; //! hyperbolic sine
function cosh(x) = (exp(x) + exp(-x)) / 2; //! hyperbolic cosine
function tanh(x) = sinh(x) / cosh(x); //! hyperbolic tangent
function coth(x) = cosh(x) / sinh(x); //! hyperbolic cotangent
function argsinh(x) = ln(x + sqrt(sqr(x) + 1)); //! inverse hyperbolic sine
function argcosh(x) = ln(x + sqrt(sqr(x) - 1)); //! inverse hyperbolic cosine
function argtanh(x) = ln((1 + x) / (1 - x)) / 2;//! inverse hyperbolic tangent
function argcoth(x) = ln((x + 1) / (x - 1)) / 2;//! inverse hyperbolic cotangent
function translate(v) = let(u = is_list(v) ? len(v) == 2 ? [v.x, v.y, 0] //! Generate a 4x4 translation matrix, ```v``` can be ```[x, y]```, ```[x, y, z]``` or ```z```
: v