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Justin Lin
2019-05-31 10:09:49 +08:00
parent 1f3022a3cc
commit 699de29c53
1 changed files with 20 additions and 20 deletions
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40
src/along_with.scad
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@@ -45,19 +45,19 @@ module along_with(points, angles, twist = 0, scale = 1.0) {
[0, 0, 0, 1] [0, 0, 0, 1]
]; ];
function local_ang_vects(j) = function axis_angle_local_ang_vects(j) =
j == 0 ? [] : local_ang_vects_sub(j); j == 0 ? [] : axis_angle_local_ang_vects_sub(j);
function local_ang_vects_sub(j) = function axis_angle_local_ang_vects_sub(j) =
let( let(
vt0 = points[j] - points[j - 1], vt0 = points[j] - points[j - 1],
vt1 = points[j + 1] - points[j], vt1 = points[j + 1] - points[j],
a = acos((vt0 * vt1) / (norm(vt0) * norm(vt1))), a = acos((vt0 * vt1) / (norm(vt0) * norm(vt1))),
v = cross(vt0, vt1) v = cross(vt0, vt1)
) )
concat([[a, v]], local_ang_vects(j - 1)); concat([[a, v]], axis_angle_local_ang_vects(j - 1));
function cumulated_rot_matrice(i, rot_matrice) = function axis_angle_cumulated_rot_matrice(i, rot_matrice) =
let( let(
leng_rot_matrice = len(rot_matrice), leng_rot_matrice = len(rot_matrice),
leng_rot_matrice_minus_one = leng_rot_matrice - 1, leng_rot_matrice_minus_one = leng_rot_matrice - 1,
@@ -70,13 +70,13 @@ module along_with(points, angles, twist = 0, scale = 1.0) {
rot_matrice[leng_rot_matrice_minus_one], rot_matrice[leng_rot_matrice_minus_one],
rot_matrice[leng_rot_matrice_minus_two] * rot_matrice[leng_rot_matrice_minus_one] rot_matrice[leng_rot_matrice_minus_two] * rot_matrice[leng_rot_matrice_minus_one]
] ]
: cumulated_rot_matrice_sub(i, rot_matrice) : axis_angle_cumulated_rot_matrice_sub(i, rot_matrice)
) )
); );
function cumulated_rot_matrice_sub(i, rot_matrice) = function axis_angle_cumulated_rot_matrice_sub(i, rot_matrice) =
let( let(
matrice = cumulated_rot_matrice(i + 1, rot_matrice), matrice = axis_angle_cumulated_rot_matrice(i + 1, rot_matrice),
curr_matrix = rot_matrice[i], curr_matrix = rot_matrice[i],
prev_matrix = matrice[len(matrice) - 1] prev_matrix = matrice[len(matrice) - 1]
) )
@@ -84,7 +84,7 @@ module along_with(points, angles, twist = 0, scale = 1.0) {
// align modules // align modules
module align_with_pts_angles(i) { module axis_angle_align_with_pts_angles(i) {
translate(points[i]) translate(points[i])
rotate(angles[i]) rotate(angles[i])
rotate(twist_step_a * i) rotate(twist_step_a * i)
@@ -92,7 +92,7 @@ module along_with(points, angles, twist = 0, scale = 1.0) {
children(0); children(0);
} }
module align_with_pts_init(a, s) { module axis_angle_align_with_pts_init(a, s) {
angleyz = __angy_angz(points[0], points[1]); angleyz = __angy_angz(points[0], points[1]);
rotate([0, -angleyz[0], angleyz[1]]) rotate([0, -angleyz[0], angleyz[1]])
rotate([90, 0, -90]) rotate([90, 0, -90])
@@ -101,14 +101,14 @@ module along_with(points, angles, twist = 0, scale = 1.0) {
children(0); children(0);
} }
module align_with_pts_local_rotate(j, init_a, init_s, cumu_rot_matrice) { module axis_angle_align_with_pts_local_rotate(j, init_a, init_s, cumu_rot_matrice) {
if(j == 0) { // first child if(j == 0) { // first child
align_with_pts_init(init_a, init_s) axis_angle_align_with_pts_init(init_a, init_s)
children(0); children(0);
} }
else { else {
multmatrix(cumu_rot_matrice[j - 1]) multmatrix(cumu_rot_matrice[j - 1])
align_with_pts_init(init_a, init_s) axis_angle_align_with_pts_init(init_a, init_s)
children(0); children(0);
} }
} }
@@ -116,34 +116,34 @@ module along_with(points, angles, twist = 0, scale = 1.0) {
if(angles_defined) { if(angles_defined) {
if($children == 1) { if($children == 1) {
for(i = [0:leng_points_minus_one]) { for(i = [0:leng_points_minus_one]) {
align_with_pts_angles(i) children(0); axis_angle_align_with_pts_angles(i) children(0);
} }
} else { } else {
for(i = [0:min(leng_points, $children) - 1]) { for(i = [0:min(leng_points, $children) - 1]) {
align_with_pts_angles(i) children(i); axis_angle_align_with_pts_angles(i) children(i);
} }
} }
} }
else { else {
cumu_rot_matrice = cumulated_rot_matrice(0, [ cumu_rot_matrice = axis_angle_cumulated_rot_matrice(0, [
for(ang_vect = local_ang_vects(leng_points - 2)) for(ang_vect = axis_angle_local_ang_vects(leng_points - 2))
m_rotation(ang_vect[0], ang_vect[1]) m_rotation(ang_vect[0], ang_vect[1])
]); ]);
translate(points[0]) translate(points[0])
align_with_pts_local_rotate(0, 0, [1, 1, 1], cumu_rot_matrice) axis_angle_align_with_pts_local_rotate(0, 0, [1, 1, 1], cumu_rot_matrice)
children(0); children(0);
if($children == 1) { if($children == 1) {
for(i = [0:leng_points - 2]) { for(i = [0:leng_points - 2]) {
translate(points[i + 1]) translate(points[i + 1])
align_with_pts_local_rotate(i, i * twist_step_a, [1, 1, 1] + scale_step_vt * i, cumu_rot_matrice) axis_angle_align_with_pts_local_rotate(i, i * twist_step_a, [1, 1, 1] + scale_step_vt * i, cumu_rot_matrice)
children(0); children(0);
} }
} else { } else {
for(i = [0:min(leng_points, $children) - 2]) { for(i = [0:min(leng_points, $children) - 2]) {
translate(points[i + 1]) translate(points[i + 1])
align_with_pts_local_rotate(i, i * twist_step_a, [1, 1, 1] + scale_step_vt * i, cumu_rot_matrice) axis_angle_align_with_pts_local_rotate(i, i * twist_step_a, [1, 1, 1] + scale_step_vt * i, cumu_rot_matrice)
children(i + 1); children(i + 1);
} }
} }