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Merge branch 'jeroenrnl-VariableNamesWithDigitsDeprecated'

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Chris Palmer
2025-03-27 12:24:15 +00:00
parent f1a651a2d2 7d281cbcdd
commit dbf8e6c7ae
1 changed files with 5 additions and 5 deletions
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10
utils/maths.scad
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@@ -164,13 +164,13 @@ function xor(a,b) = (a && !b) || (!a && b); //! Logical exclusive OR
function cuberoot(x)= sign(x)*abs(x)^(1/3);
function quadratic_real_roots(a, b, c) = //! Returns real roots of a quadratic equation, biggest first. Returns empty list if no real roots
let(2a = 2 * a,
2c = 2 * c,
det = b^2 - 2a * 2c
let(ax2 = 2 * a,
cx2 = 2 * c,
det = b^2 - ax2 * cx2
) det < 0 ? [] :
let(r = sqrt(det),
x1 = b < 0 ? 2c / (-b + r) : (-b - r) / 2a,
x2 = b < 0 ? (-b + r) / 2a : 2c / (-b - r)
x1 = b < 0 ? cx2 / (-b + r) : (-b - r) / ax2,
x2 = b < 0 ? (-b + r) / ax2 : cx2 / (-b - r)
) [x2, x1];
function cubic_real_roots(a, b, c, d) = //! Returns real roots of cubic equation