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https://github.com/JustinSDK/dotSCAD.git
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refactor: cosa, sina
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@@ -34,13 +34,6 @@ module polyline2d(points, width = 1, startingStyle = "CAP_SQUARE", endingStyle =
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p1Style = p1Style, p2Style = p2Style);
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}
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function angle(p1, p2, p3) =
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let(
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v1 = p2 - p1,
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v2 = p3 - p2
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)
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acos((v1 * v2) / (norm(v1) * norm(v2)));
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module joins(line, radius, i_end, i) {
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if(i < i_end) {
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p1 = line[i];
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@@ -50,26 +43,25 @@ module polyline2d(points, width = 1, startingStyle = "CAP_SQUARE", endingStyle =
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v2 = p3 - p2;
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c = cross(v1, v2); // c > 0: ct_clk
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a = angle(p1, p2, p3);
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v1a = atan2(v1.y, v1.x);
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normv1xv2 = sqrt(v1 * v1 * v2 * v2);
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cosa = (v1 * v2) / normv1xv2;
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sina = -c / normv1xv2;
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ra = c > 0 ? (-90 + v1a) : (90 + v1a - a);
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if(joinStyle == "JOIN_ROUND") {
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translate(p2)
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rotate(ra)
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rotate(atan2(v1.y, v1.x) + (c > 0 ? -90 : asin(cosa))) {
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if(joinStyle == "JOIN_ROUND") {
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a = acos(cosa);
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pie(
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radius = radius,
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angle = [0, a],
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$fn = fn * 360 / a
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);
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} else if(joinStyle == "JOIN_MITER") {
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translate(p2)
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rotate(ra)
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polygon([[0, 0], [radius, 0], [radius, radius * tan(a / 2)], [radius * cos(a), radius * sin(a)]]);
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tana2 = sina / (1 + cosa); // tan(a / 2)
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polygon(radius * [[0, 0], [1, 0], [1, tana2], [cosa, sina]]);
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} else { // "JOIN_BEVEL"
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translate(p2)
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rotate(ra)
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polygon([[0, 0], [radius, 0], [radius * cos(a), radius * sin(a)]]);
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polygon(radius * [[0, 0], [1, 0], [cosa, sina]]);
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}
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}
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joins(line, radius, i_end, i + 1);
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@@ -80,11 +72,9 @@ module polyline2d(points, width = 1, startingStyle = "CAP_SQUARE", endingStyle =
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line2d(points[0], points[1], width, startingStyle, endingStyle);
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}
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else {
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union() {
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for(i = [1:leng_pts - 1]) {
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line_segment(i);
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}
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joins(points, width / 2, leng_pts - 2, 0);
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}
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}
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}
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