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refactoed path_extend to shape_path_extend

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Justin Lin 2017-05-24 11:41:14 +08:00
parent 6478d0160e
commit 6e0dac3814
5 changed files with 100 additions and 85 deletions
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4
README.md
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@ -38,7 +38,6 @@ Too many dependencies? Because OpenSCAD doesn't provide namespace management, I
- [hull_polyline2d](https://openhome.cc/eGossip/OpenSCAD/lib-hull_polyline2d.html)
- [hexagons](https://openhome.cc/eGossip/OpenSCAD/lib-hexagons.html)
- [polytransversals](https://openhome.cc/eGossip/OpenSCAD/lib-polytransversals.html)
- [path_extend](https://openhome.cc/eGossip/OpenSCAD/lib-path_extend.html)
- 3D
- [rounded_cube](https://openhome.cc/eGossip/OpenSCAD/lib-rounded_cube.html)
@ -87,7 +86,8 @@ Too many dependencies? Because OpenSCAD doesn't provide namespace management, I
- [shape_trapezium](https://openhome.cc/eGossip/OpenSCAD/lib-shape_trapezium.html)
- [shape_cyclicpolygon](https://openhome.cc/eGossip/OpenSCAD/lib-shape_cyclicpolygon.html)
- [shape_pentagram](https://openhome.cc/eGossip/OpenSCAD/lib-shape_pentagram.html)
- [shape_superformula](https://openhome.cc/eGossip/OpenSCAD/lib-shape_superformula.html)
- [shape_superformula](https://openhome.cc/eGossip/OpenSCAD/lib-shape_superformula.html)
- [shape_path_extend](https://openhome.cc/eGossip/OpenSCAD/lib-shape_path_extend.html)
- 2D Shape Extrusion
- [path_extrude](https://openhome.cc/eGossip/OpenSCAD/lib-path_extrude.html)

0
docs/images/lib-path_extend-1.JPG → docs/images/lib-shape_path_extend-1.JPG
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28
docs/lib-path_extend.md → docs/lib-shape_path_extend.md
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@ -1,10 +1,10 @@
# path_extend
# shape_path_extend
It extends a 2D stroke along a path. This module is suitable for a path created by a continuous function.
It extends a 2D stroke along a path to create a 2D shape. This module is suitable for a path created by a continuous function. The returned points can be used with xxx_extrude modules of dotSCAD. The shape points can be also used with the built-in polygon module.
It depends on the rotate_p function and the polytransversals module. Remember to include "rotate_p.scad" and "polytransversals.scad".
When using this module, you should use points to represent the 2D stroke.
When using this module, you should use points to represent the 2D stroke.
It depends on the `rotate_p` function. Remember to include "rotate_p.scad" and "polytransversals.scad".
## Parameters
@ -16,8 +16,7 @@ When using this module, you should use points to represent the 2D stroke.
## Examples
include <rotate_p.scad>;
include <polytransversals.scad>;
include <path_extend.scad>;
include <shape_path_extend.scad>;
include <circle_path.scad>;
include <archimedean_spiral.scad>;
@ -25,7 +24,10 @@ When using this module, you should use points to represent the 2D stroke.
stroke1 = [[-5, 2.5], [-2.5, 0], [0, 2.5], [2.5, 0], [5, 2.5]];
path_pts1 = circle_path(50, 60);
path_extend(stroke1, path_pts1);
polygon(
shape_path_extend(stroke1, path_pts1)
);
stroke2 = [[-4, 0], [0, 4], [4, 0]];
pts_angles = archimedean_spiral(
@ -36,9 +38,11 @@ When using this module, you should use points to represent the 2D stroke.
);
translate([120, 0, 0])
path_extend(
stroke2,
[for(pa = pts_angles) pa[0]]
);
polygon(
shape_path_extend(
stroke2,
[for(pa = pts_angles) pa[0]]
)
);
![path_extend](images/lib-path_extend-1.JPG)
![path_extend](images/lib-shape_path_extend-1.JPG)

71
src/path_extend.scad
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@ -1,71 +0,0 @@
/**
* path_extend.scad
*
* It extends a 2D stroke along a path.
* This module is suitable for a path created by a continuous function.
* It depends on the rotate_p function and the polytransversals module.
* Remember to include "rotate_p.scad" and "polytransversals.scad".
*
* @copyright Justin Lin, 2017
* @license https://opensource.org/licenses/lgpl-3.0.html
*
* @see https://openhome.cc/eGossip/OpenSCAD/lib-path_extend.html
*
**/
include <__private__/__to3d.scad>;
include <__private__/__length_between.scad>;
module path_extend(stroke_pts, path_pts, scale = 1.0, closed = false) {
function az(p1, p2) =
let(
x1 = p1[0],
y1 = p1[1],
x2 = p2[0],
y2 = p2[1]
) -90 + atan2((y2 - y1), (x2 - x1));
leng_path_pts = len(path_pts);
scale_step = (scale - 1) / (leng_path_pts - 1);
function first_stroke() =
let(
p1 = path_pts[0],
p2 = path_pts[1],
a = az(p1, p2)
)
[
for(p = stroke_pts)
rotate_p(p, a) + p1
];
function stroke(p1, p2, i) =
let(
leng = __length_between(__to3d(p1), __to3d(p2)),
a = az(p1, p2)
)
[
for(p = stroke_pts)
rotate_p(p * (1 + scale_step * i) + [0, leng], a) + p1
];
function path_extend_inner(index) =
index == leng_path_pts ? [] :
concat(
[stroke(path_pts[index - 1], path_pts[index], index)],
path_extend_inner(index + 1)
);
if(closed && path_pts[0] == path_pts[leng_path_pts - 1]) {
strokes = path_extend_inner(1);
polytransversals(
concat(strokes, [strokes[0]])
);
} else {
polytransversals(
concat([first_stroke()], path_extend_inner(1))
);
}
}

82
src/shape_path_extend.scad Normal file
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@ -0,0 +1,82 @@
/**
* shape_path_extend.scad
*
* It extends a 2D stroke along a path.
* This module is suitable for a path created by a continuous function.
* It depends on the rotate_p function and the polytransversals module.
* Remember to include "rotate_p.scad" and "polytransversals.scad".
*
* @copyright Justin Lin, 2017
* @license https://opensource.org/licenses/lgpl-3.0.html
*
* @see https://openhome.cc/eGossip/OpenSCAD/lib-path_extend.html
*
**/
include <__private__/__to3d.scad>;
include <__private__/__length_between.scad>;
include <__private__/__polytransversals.scad>;
include <__private__/__reverse.scad>;
function _shape_path_extend_az(p1, p2) =
let(
x1 = p1[0],
y1 = p1[1],
x2 = p2[0],
y2 = p2[1]
) -90 + atan2((y2 - y1), (x2 - x1));
function _shape_path_first_stroke(stroke_pts, path_pts) =
let(
p1 = path_pts[0],
p2 = path_pts[1],
a = _shape_path_extend_az(p1, p2)
)
[
for(p = stroke_pts)
rotate_p(p, a) + p1
];
function _shape_path_extend_stroke(stroke_pts, p1, p2, scale_step, i) =
let(
leng = __length_between(__to3d(p1), __to3d(p2)),
a = _shape_path_extend_az(p1, p2)
)
[
for(p = stroke_pts)
rotate_p(p * (1 + scale_step * i) + [0, leng], a) + p1
];
function _shape_path_extend_inner(stroke_pts, path_pts, leng_path_pts, scale_step, index) =
index == leng_path_pts ? [] :
concat(
[
_shape_path_extend_stroke(
stroke_pts,
path_pts[index - 1],
path_pts[index],
scale_step,
index
)
],
_shape_path_extend_inner(
stroke_pts,
path_pts,
leng_path_pts,
scale_step,
index + 1
)
);
function shape_path_extend(stroke_pts, path_pts, scale = 1.0, closed = false) =
let(
leng_path_pts = len(path_pts),
scale_step = (scale - 1) / (leng_path_pts - 1),
strokes = _shape_path_extend_inner(stroke_pts, path_pts, leng_path_pts, scale_step, 1)
)
closed && path_pts[0] == path_pts[leng_path_pts - 1] ?
__polytransversals(concat(strokes, [strokes[0]])) :
__polytransversals(
concat([_shape_path_first_stroke(stroke_pts, path_pts)], strokes)
);