Rounded Corner
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license: gpl-3.0 |
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<!DOCTYPE html> | |
<meta charset="utf-8"> | |
<style> | |
#line { | |
stroke: #777; | |
stroke-width: 1.5px; | |
marker: url(#dot); | |
} | |
#offset-circle, | |
#parallel-offset-line, | |
#perpendicular-offset-line { | |
fill: none; | |
stroke: #777; | |
stroke-dasharray: 2,2; | |
} | |
#outer-circle { | |
fill: none; | |
stroke: #777; | |
stroke-width: 1.5px; | |
} | |
#corner-circle { | |
fill: none; | |
stroke: #700; | |
stroke-width: 1.5px; | |
} | |
#corner-circle-origin { | |
fill: #700; | |
} | |
</style> | |
<svg width="960" height="500"> | |
<g transform="translate(300,420)"> | |
<defs> | |
<marker id="dot" refX="5" refY="5" viewBox="0 0 10 10" markerWidth="10" markerHeight="10" markerUnits="userSpaceOnUse"> | |
<circle cx="5" cy="5" r="3.5" style="fill:#000;"></circle> | |
</marker> | |
</defs> | |
</g> | |
</svg> | |
<script src="//d3js.org/d3.v3.min.js"></script> | |
<script> | |
var p1 = [100 - 100, 100 - 480], | |
p0 = [140 - 100, 420 - 480], | |
r1 = 380, | |
rc = 80; | |
var g = d3.select("g"); | |
g.append("circle") | |
.attr("id", "outer-circle") | |
.attr("r", r1); | |
g.append("circle") | |
.attr("id", "outer-circle-origin") | |
.attr("r", 2.5); | |
g.append("circle") | |
.attr("id", "offset-circle") | |
.attr("r", r1 - rc); | |
// Compute perpendicular offset line of length rc. | |
var x01 = p0[0] - p1[0], | |
y01 = p0[1] - p1[1], | |
d01 = Math.sqrt(x01 * x01 + y01 * y01), | |
lo = rc / d01, | |
ox = lo * y01, | |
oy = -lo * x01; | |
var p2 = [(p0[0] + p1[0]) / 2, (p0[1] + p1[1]) / 2]; | |
g.append("line") | |
.attr("id", "perpendicular-offset-line") | |
.attr("x1", p2[0]) | |
.attr("y1", p2[1]) | |
.attr("x2", p2[0] + ox) | |
.attr("y2", p2[1] + oy); | |
g.append("line") | |
.attr("id", "parallel-offset-line") | |
.attr("x1", p0[0] + ox) | |
.attr("y1", p0[1] + oy) | |
.attr("x2", p1[0] + ox) | |
.attr("y2", p1[1] + oy); | |
g.append("line") | |
.attr("id", "line") | |
.attr("x1", p0[0]) | |
.attr("y1", p0[1]) | |
.attr("x2", p1[0]) | |
.attr("y2", p1[1]); | |
// http://mathworld.wolfram.com/Circle-LineIntersection.html | |
var x1 = p0[0] + ox, | |
y1 = p0[1] + oy, | |
x2 = p1[0] + ox, | |
y2 = p1[1] + oy, | |
dx = x2 - x1, | |
dy = y2 - y1, | |
dr = Math.sqrt(dx * dx + dy * dy), | |
r = r1 - rc, | |
D = x1 * y2 - x2 * y1, | |
Δ = r * r * dr * dr - D * D, | |
cx = (D * dy - (dy < 0 ? -1 : 1) * dx * Math.sqrt(Δ)) / (dr * dr), | |
cy = (-D * dx - Math.abs(dy) * Math.sqrt(Δ)) / (dr * dr); | |
g.append("circle") | |
.attr("id", "corner-circle") | |
.attr("r", rc) | |
.attr("cx", cx) | |
.attr("cy", cy); | |
g.append("circle") | |
.attr("id", "corner-circle-origin") | |
.attr("r", 2.5) | |
.attr("cx", cx) | |
.attr("cy", cy); | |
g.append("circle") | |
.attr("id", "perpendicular-offset-line-tangent") | |
.attr("r", 3.5) | |
.attr("cx", cx - ox) | |
.attr("cy", cy - oy); | |
g.append("circle") | |
.attr("id", "outer-circle-tangent") | |
.attr("r", 3.5) | |
.attr("cx", cx * r1 / r) | |
.attr("cy", cy * r1 / r); | |
</script> |
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