return this.triangle(a, b, c).concat(
this.triangle(c, d, a));
},
+ trianglefan: function(fan) {
+ var result = [];
+ for (var i = 2; i < fan.length; i++) {
+ result.push(fan[0], fan[i-1], fan[i]);
+ }
+ return result;
+ },
+ closed_trianglefan: function(fan) {
+ return this.trianglefan(fan.concat([fan[1]]));
+ },
quadstrip: function(strip) {
if (strip.length % 2 != 0) {
alert("quadstrip length not divisble by 2!");
}
var result = [];
for (var i = 2; i < strip.length; i += 2) {
- result = result.concat(nt3d.quad(strip[i-2], strip[i-1], strip[i+1], strip[i]));
+ result = result.concat(this.quad(strip[i-2], strip[i-1], strip[i+1], strip[i]));
}
return result;
},
closed_quadstrip: function(strip) {
- return nt3d.quadstrip(strip).concat(nt3d.quad(strip[strip.length-2], strip[strip.length-1], strip[1], strip[0]));
+ return this.quadstrip(strip.concat([strip[0], strip[1]]));
+ },
+ circle: function(r, n) {
+ var points = [];
+ for (var i = 0; i < n; i++) {
+ points.push([r*Math.cos(2*Math.PI*i/n),
+ r*Math.sin(2*Math.PI*i/n),
+ 0]);
+ }
+ return points;
+ },
+ cone: function(base_center, apex, radius, steps) {
+ var base = this.circle(radius, steps);
+ base = this.rotate_onto(base, [0,0,1], this.sub(apex, base_center));
+ base = this.translate(base, base_center);
+ return this.closed_trianglefan([apex].concat(base)).concat(
+ this.trianglefan(base.reverse()));
+ },
+ sphere: function(center, radius, latitude_steps, longitude_steps) {
+ return this.oriented_sphere(center, radius, [0,0,1], [1,0,0], latitude_steps, longitude_steps);
+ },
+ oriented_sphere: function(center, radius, north, greenwich, latitude_steps, longitude_steps) {
+ var unit_north = this.unit(north);
+ var north_pole = this.translate_point(this.scale(unit_north, radius), center);
+ var south_pole = this.translate_point(this.scale(unit_north, -radius), center);
+ return this.spheroid(north_pole, south_pole, radius, greenwich, latitude_steps, longitude_steps);
+ },
+ spheroid: function(north_pole, south_pole, radius, greenwich, latitude_steps, longitude_steps) {
+ var delta = this.sub(north_pole, south_pole);
+ var path = [];
+ for (var i = 0; i < latitude_steps-1; i++) {
+ path.push(this.translate_point(south_pole, this.scale(delta, (1-Math.cos(Math.PI*i/(latitude_steps-1)))/2)));
+ }
+ path.push(north_pole);
+ function shape(i) {
+ return nt3d.circle(radius*Math.sin(Math.PI*i/(latitude_steps-1)), longitude_steps);
+ }
+ return this.extrude(path, shape, delta, greenwich);
+ },
+ shapenormals_from_closed_path: function(path) {
+ return function(i) {
+ var prev = (i == 0) ? path.length-1 : i-1;
+ var next = (i == path.length-1) ? 0 : i+1;
+ return nt3d.sub(path[next], path[prev]);
+ };
+ },
+ shapenormals_from_path_and_extra_points: function(path, first_point, last_point) {
+ return function(i) {
+ var prev = (i == 0) ? first_point : path[i-1];
+ var next = (i == path.length-1) ? last_point : path[i+1];
+ return nt3d.sub(next, prev);
+ };
+ },
+ shapenormals_from_path_and_first_and_last_normals: function(path, first_normal, last_normal) {
+ return function(i) {
+ if (i == 0) { return first_normal; }
+ if (i == path.length-1) { return last_normal; }
+ return nt3d.sub(path[i+1], path[i-1]);
+ };
+ },
+ pathnormals_from_point: function(path, p) {
+ // Use this with any point that is not on any path tangent line
+ var pathnormals = [];
+ for (var i = 0; i < path.length; i++) {
+ pathnormals.push(this.sub(path[i], p));
+ }
+ return pathnormals;
+ },
+ to_function: function(thing, make_indexer) {
+ // If thing is a point, just yield thing every time.
+ // If thing is a list of points && make_indexer, index into thing.
+ // If thing is already a function, just return it.
+ if (({}).toString.call(thing) === "[object Function]") {
+ return thing; // Already a function
+ }
+ if (make_indexer && Array.isArray(thing[0])) {
+ // Looks like a list of points.
+ return function(i) { return thing[i]; }
+ }
+ return function() { return thing; }
+ },
+ extrude: function(path, shape, shapenormals, pathnormals) {
+
+ var guts_result = this._extrude_guts(path, shape, shapenormals, pathnormals);
+ // Add the end-caps
+ // XXX: This doesn't work if shape is not convex
+ return guts_result.points.concat(
+ this.trianglefan(guts_result.first_loop.reverse()),
+ this.trianglefan(guts_result.last_loop));
+
+ },
+ closed_extrude: function(path, shape, shapenormals, pathnormals) {
+ var guts_result = this._extrude_guts(path, shape, shapenormals, pathnormals);
+ // Stitch the ends together
+ return guts_result.points.concat(
+ this.closed_quadstrip(this.zip(guts_result.first_loop, guts_result.last_loop)));
+ },
+ _extrude_guts: function(path, shape, shapenormals, pathnormals) {
+ var shape_fun = this.to_function(shape, false);
+ var shapenormal_fun = this.to_function(shapenormals, true);
+ var pathnormal_fun = this.to_function(pathnormals, true);
+ var result = { points: [] };
+ var prev_loop;
+ for (var i = 0; i < path.length; i++) {
+ var shapenormali = shapenormal_fun(i, path[i]);
+ var pathnormali = pathnormal_fun(i, path[i], shapenormali);
+
+ // Fix pathnormali to be perfectly perpendicular to
+ // shapenormali. pathnormali must be perpendicular to
+ // shapenormali or the second rotation will take loop
+ // back out of the shapenormali plane that the first
+ // rotation so carefully placed it in. But, letting
+ // callers be sloppy with the pathnormals can greatly
+ // simplify generating them -- so much so that you can
+ // often just pass a constant to use the same value
+ // along the whole path.
+ pathnormali = this.project_to_orthogonal(shapenormali, pathnormali);
+
+ var shapei = shape_fun(i, path[i], shapenormali, pathnormali);
+
+ // loop is shapei in 3d with (0,0) at path[i], shape's
+ // z axis in the direction of shapenormali, and shape's
+ // x axis in the direction of pathnormali. We tack
+ // [1,0,0] onto the end as a hack to see where it ends
+ // up after the first rotation. This is removed later.
+ var loop = shapei.concat([[1,0,0]]);
+
+ // This is done in three steps:
+ // 1. Rotate shape out of the xy plane so that [0,0,1]
+ // becomes shapenormali. This puts the shape in
+ // the correct plane, but does not constrain its
+ // rotation about shapenormali.
+ loop = this.rotate_onto(loop, [0,0,1], shapenormali);
+ var shapex = loop.pop();
+
+ // 2. Rotate around shapenormali so that [1,0,0]
+ // becomes pathnormali.
+ loop = this.rotate_onto(loop, shapex, pathnormali);
+
+ // (This would probably be faster and more numerically stable
+ // if the two rotations were applied as one combined operation
+ // rather than separate steps.)
+
+ // 3. Translate to path[i].
+ loop = this.translate(loop, path[i]);
+
+ if (i == 0) {
+ result.first_loop = loop;
+ } else {
+ result.points = result.points.concat(this.closed_quadstrip(this.zip(loop, prev_loop)));
+ }
+ prev_loop = loop;
+ }
+ result.last_loop = prev_loop;
+ return result;
+ },
+ zip: function(a, b) {
+ var result = [];
+ if (a.length != b.length) {
+ alert("Zip over different-sized inputs");
+ }
+ for (var i = 0; i < a.length; i++) {
+ result.push(a[i], b[i]);
+ }
+ return result;
+ },
+ magnitude: function(a) {
+ return Math.sqrt(a[0]*a[0] + a[1]*a[1] + a[2]*a[2]);
+ },
+ unit: function(a) {
+ return this.scale(a, 1 / this.magnitude(a));
},
sub: function(a, b) {
return [a[0] - b[0],
a[1] - b[1],
a[2] - b[2]];
},
+ neg: function(a) {
+ return [-a[0], -a[1], -a[2]];
+ },
+ dot: function(a, b) {
+ return a[0]*b[0] + a[1]*b[1] + a[2]*b[2];
+ },
+ scale: function(v, s) { // Scale vector v by scalar s
+ return [s*v[0], s*v[1], s*v[2]];
+ },
cross: function(a, b) {
return [a[1]*b[2] - a[2]*b[1],
a[2]*b[0] - a[0]*b[2],
normal: function(a, b, c) {
return this.cross(this.sub(a, b), this.sub(b, c));
},
+ project: function(a, b) { // Project b onto a
+ var a_magnitude = this.magnitude(a);
+ return this.scale(a, this.dot(a, b) / (a_magnitude * a_magnitude));
+ },
+ project_to_orthogonal: function(a, b) {
+ // The nearest thing to b that is orthogonal to a
+ return this.sub(b, this.project(a, b));
+ },
+ translate: function(points, offset) {
+ var translated = [];
+ for (var i = 0; i < points.length; i++) {
+ translated[i] = this.translate_point(points[i], offset);
+ }
+ return translated;
+ },
+ translate_point: function(point, offset) {
+ return [point[0] + offset[0],
+ point[1] + offset[1],
+ point[2] + offset[2]];
+ },
+ angle_between: function(a, b) { // a and b must be unit vectors
+ return Math.acos(this.dot(a, b));
+ },
+ rotate_about_origin: function(points, axis, angle) { // axis must be a unit vector
+ // From http://inside.mines.edu/~gmurray/ArbitraryAxisRotation/
+ var cosangle = Math.cos(angle);
+ var sinangle = Math.sin(angle);
+ var rotated = [];
+ for (var i = 0; i < points.length; i++) {
+ var p = points[i];
+ var tmp = this.dot(p, axis) * (1 - cosangle);
+ rotated[i] = [
+ axis[0]*tmp + p[0]*cosangle + (-axis[2]*p[1] + axis[1]*p[2])*sinangle,
+ axis[1]*tmp + p[1]*cosangle + ( axis[2]*p[0] - axis[0]*p[2])*sinangle,
+ axis[2]*tmp + p[2]*cosangle + (-axis[1]*p[0] + axis[0]*p[1])*sinangle];
+ }
+ return rotated;
+ },
+ rotate_onto: function(points, a, b) {
+ // Rotate points such that a (in points-space) maps onto b
+ // by crossing a and b to get a rotation axis and using
+ // angle_between to get a rotation angle.
+ var angle = this.angle_between(this.unit(a), this.unit(b));
+ if (Math.abs(angle) < 1e-15) {
+ // No siginificant rotation to perform. Bail to avoid
+ // NaNs and numerical error
+ return points;
+ }
+ var axis = this.unit(this.cross(a, b));
+ return this.rotate_about_origin(points, axis, angle);
+ },
+ rotate: function(points, center, axis, angle) { // axis must be a unit vector
+ return this.translate(
+ this.rotate_about_origin(
+ this.translate(points, this.neg(center)),
+ axis,
+ angle),
+ center);
+ },
go: function() {
+ // Remove any previous download links
+ var old_download_link = document.getElementById("nt3d_download");
+ if (old_download_link) {
+ old_download_link.parentNode.removeChild(old_download_link);
+ }
+
+ // Continue in a callback, so that there's not a stale download
+ // link hanging around while we process.
+ setTimeout(function(the_this) { (function() {
+
// Get params from form
var params = [];
for (var i = 0; i < this.user_params.length; i++) {
- params[i] = this.form.elements["param"+i].value;
+ var as_string = this.form.elements["param"+i].value;
+ var as_num = +as_string;
+ params[i] = isNaN(as_num) ? as_string : as_num;
}
// Run user_function
}
this.stl += "endsolid " + this.user_function.name + "\n";
- // Remove any previous download links
- var old_download_link = document.getElementById("nt3d_download");
- if (old_download_link) {
- old_download_link.parentNode.removeChild(old_download_link);
- }
// Offer result as download
var download_link = document.createElement("a");
download_link.setAttribute("href", "data:application/sla," + encodeURIComponent(this.stl));
this.ui.appendChild(download_link);
setTimeout(function() { download_link.setAttribute("style", "-webkit-transition: background-color 0.4s; -moz-transition: background-color 0.4s; -o-transition: background-color 0.4s; -ms-transition: background-color 0.4s; transition: background-color 0.4s; background-color: inherit"); }, 0);
+
+ }).call(the_this); }, 0, this); // (We were in a callback this whole time, remember?)
},
framework: function (f, params) {
this.user_function = f;
projects / nt3d / blobdiff