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refactor

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This commit is contained in:
Justin Lin
2022-05-04 20:55:52 +08:00
parent 50a658c20a
commit 6e4efe2e9f
1 changed files with 7 additions and 33 deletions
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40
src/_impl/_bezier_curve_impl.scad
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@@ -1,3 +1,5 @@
use <../util/sum.scad>;
function _combi(n, k) =
let(
bi_coef = [
@@ -10,45 +12,17 @@ function _combi(n, k) =
n < 4 ? bi_coef[n][k] :
k == 0 ? 1 : (_combi(n, k - 1) * (n - k + 1) / k);
function bezier_curve_coordinate(t, pn, n, i = 0) =
i == n + 1 ? 0 :
(_combi(n, i) * pn[i] * pow(1 - t, n - i) * pow(t, i) +
bezier_curve_coordinate(t, pn, n, i + 1));
function bezier_curve_coordinate(t, pn, n, i) =
let(one_t = 1 - t)
sum([for(j = [0:n]) _combi(n, j) * pn[j][i] * one_t ^ (n - j) * t ^ j]);
function _bezier_curve_point2(t, points) =
let(n = len(points) - 1)
[
bezier_curve_coordinate(
t,
[for(p = points) p.x],
n
),
bezier_curve_coordinate(
t,
[for(p = points) p.y],
n
)
];
[for(i = [0, 1]) bezier_curve_coordinate(t, points, n, i)];
function _bezier_curve_point3(t, points) =
let(n = len(points) - 1)
[
bezier_curve_coordinate(
t,
[for(p = points) p.x],
n
),
bezier_curve_coordinate(
t,
[for(p = points) p.y],
n
),
bezier_curve_coordinate(
t,
[for(p = points) p.z],
n
)
];
[for(i = [0:2]) bezier_curve_coordinate(t, points, n, i)];
function _bezier_curve_impl(t_step, points) =
let(t_end = ceil(1 / t_step))