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add shape_liquid_splitting

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Justin Lin
2021-01-18 15:28:58 +08:00
parent 872ad92bff
commit b0cbe24fa8
2 changed files with 81 additions and 0 deletions
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66
src/_impl/_shape_liquid_splitting_impl.scad Normal file
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use <../ptf/ptf_rotate.scad>;
use <../shape_pie.scad>;
use <../bezier_curve.scad>;
function _liquid_splitting_pie_curve(radius, centre_dist, tangent_angle) =
let(
begin_ang = 90 + tangent_angle,
shape_pts = shape_pie(radius, [-begin_ang, begin_ang]),
leng = len(shape_pts)
)
[
for(i = 1; i < leng; i = i + 1)
shape_pts[i] + [centre_dist / 2, 0]
];
function _liquid_splitting_bezier(radius, centre_dist, tangent_angle, t_step, ctrl_p1) =
let(
ctrl_p = ptf_rotate([radius * tan(tangent_angle), -radius], tangent_angle),
ctrl_p2 = [-ctrl_p[0], ctrl_p[1]] + [centre_dist / 2, 0],
ctrl_p3 = [-ctrl_p2[0], ctrl_p2[1]],
ctrl_p4 = [-ctrl_p1[0], ctrl_p1[1]]
)
bezier_curve(
t_step,
[
ctrl_p1,
ctrl_p2,
ctrl_p3,
ctrl_p4
]
);
function _liquid_splitting_lower_half_curve(curve_pts, leng) =
[
for(i = 0; i < leng; i = i + 1)
let(p = curve_pts[leng - 1 - i])
if(p[0] >= 0) p
];
function _liquid_splitting_half_liquid_splitting(radius, centre_dist, tangent_angle, t_step) =
let(
pie_curve_pts = _liquid_splitting_pie_curve(radius, centre_dist, tangent_angle),
curve_pts = _liquid_splitting_bezier(radius, centre_dist, tangent_angle, t_step, pie_curve_pts[0]),
lower_curve_pts = _liquid_splitting_lower_half_curve(curve_pts, len(curve_pts)),
leng_half_curve_pts = len(lower_curve_pts),
upper_curve_pts = [
for(i = 0; i < leng_half_curve_pts; i = i + 1)
let(pt = lower_curve_pts[leng_half_curve_pts - 1 - i])
[pt[0], -pt[1]]
]
) concat(
lower_curve_pts,
pie_curve_pts,
upper_curve_pts
);
function _shape_liquid_splitting_impl(radius, centre_dist, tangent_angle, t_step) =
let(
half_liquid_splittings = _liquid_splitting_half_liquid_splitting(radius, centre_dist, tangent_angle, t_step),
leng_half_liquid_splittings = len(half_liquid_splittings),
left_half_liquid_splittings = [
for(i = 0; i < leng_half_liquid_splittings; i = i + 1)
let(pt = half_liquid_splittings[leng_half_liquid_splittings - 1 - i])
[-pt[0], pt[1]]
]
) concat(half_liquid_splittings, left_half_liquid_splittings);

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src/shape_liquid_splitting.scad Normal file
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/**
* shape_liquid_splitting.scad
*
* @copyright Justin Lin, 2020
* @license https://opensource.org/licenses/lgpl-3.0.html
*
* @see https://openhome.cc/eGossip/OpenSCAD/lib2x-shape_liquid_splitting.html
*
**/
use <_impl/_shape_liquid_splitting_impl.scad>;
function shape_liquid_splitting(radius, centre_dist, tangent_angle = 30, t_step = 0.1) =
_shape_liquid_splitting_impl(radius, centre_dist, tangent_angle, t_step);