Initial release

scripts/icons/knot.py

@@ -0,0 +1,122 @@
+#!/usr/bin/env python3
+"""Generates the knot icons' geometry; run via scripts/make-icons.sh."""
+import json
+import math
+import os
+
+ROOT = os.path.dirname(os.path.dirname(os.path.dirname(os.path.abspath(__file__))))
+NAVY = "#132441"
+CORAL = "#FF8A5B"
+
+
+def trefoil(cx, cy, size, gap):
+    n = 1200
+    pts = []
+    for i in range(n):
+        t = 2 * math.pi * i / n
+        pts.append((math.sin(t) + 2 * math.sin(2 * t), -(math.cos(t) - 2 * math.cos(2 * t))))
+    xs = [p[0] for p in pts]
+    ys = [p[1] for p in pts]
+    mx, my = (max(xs) + min(xs)) / 2, (max(ys) + min(ys)) / 2
+    span = max(max(xs) - min(xs), max(ys) - min(ys))
+    p = [(cx + (x - mx) / span * size, cy + (y - my) / span * size) for x, y in pts]
+
+    # Self-crossings: points far apart along the curve that land on each other.
+    cands = []
+    for i in range(n):
+        for j in range(i + n // 6, n):
+            if j - i > n - n // 6:
+                continue
+            d = (p[i][0] - p[j][0]) ** 2 + (p[i][1] - p[j][1]) ** 2
+            if d < (size * 0.004) ** 2:
+                cands.append((d, i, j))
+    cands.sort()
+    crossings = []
+    for _, i, j in cands:
+        far = lambda a, b: min(abs(a - b) % n, n - abs(a - b) % n) > 40
+        if all(far(i, a) and far(j, b) for a, b in crossings):
+            crossings.append((i, j))
+        if len(crossings) == 3:
+            break
+    assert len(crossings) == 3, crossings
+
+    # Alternate crossings go under; hide points within `gap` (straight-line) of each.
+    visits = sorted([i for i, _ in crossings] + [j for _, j in crossings])
+    under = visits[1::2]
+    hidden = set()
+    for u in under:
+        for d in range(-n // 10, n // 10 + 1):
+            k = (u + d) % n
+            if math.dist(p[k], p[u]) < gap:
+                hidden.add(k)
+
+    strands, cur = [], []
+    start = next(i for i in range(n) if i in hidden)
+    for k in range(1, n + 1):
+        i = (start + k) % n
+        if i in hidden:
+            if len(cur) > 1:
+                strands.append(cur)
+            cur = []
+        else:
+            cur.append(p[i])
+    if len(cur) > 1:
+        strands.append(cur)
+    assert len(strands) == 3
+    return [s[::3] + [s[-1]] for s in strands]
+
+
+def path(strand):
+    return "M" + " L".join(f"{x:.2f},{y:.2f}" for x, y in strand)
+
+
+# Each gap is half the crossing strand's width, plus the round cap, plus clear space.
+ICON_STROKE, GLYPH_STROKE = 8.5, 1.9
+icon = trefoil(50, 51, 62, ICON_STROKE + 1.3)
+glyph = trefoil(9, 9.3, 14.2, GLYPH_STROKE + 0.6)
+
+os.makedirs(os.path.join(ROOT, "assets"), exist_ok=True)
+json.dump({"icon": icon, "iconStroke": ICON_STROKE, "glyph": glyph, "glyphStroke": GLYPH_STROKE,
+           "navy": NAVY, "coral": CORAL},
+          open(os.path.join(ROOT, "scripts/icons/knot.json"), "w"))
+
+strokes = "".join(f'<path d="{path(s)}"/>' for s in icon)
+open(os.path.join(ROOT, "assets/knotchy-icon.svg"), "w").write(
+    f'<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 100 100">'
+    f'<rect width="100" height="100" rx="22.5" fill="{NAVY}"/>'
+    f'<g fill="none" stroke="{CORAL}" stroke-width="8.5" stroke-linecap="round" stroke-linejoin="round">{strokes}</g></svg>\n')
+open(os.path.join(ROOT, "assets/knotchy-mark.svg"), "w").write(
+    f'<svg xmlns="http://www.w3.org/2000/svg" viewBox="15 18 70 66">'
+    f'<g fill="none" stroke="{CORAL}" stroke-width="8.5" stroke-linecap="round" stroke-linejoin="round">{strokes}</g></svg>\n')
+
+points = ",\n".join(
+    "        [" + ", ".join(f"CGPoint(x: {x:.2f}, y: {y:.2f})" for x, y in s) + "]" for s in glyph)
+open(os.path.join(ROOT, "Sources/Knotchy/KnotGlyph.swift"), "w").write(f'''// Generated by scripts/icons/knot.py; run scripts/make-icons.sh to change it.
+import AppKit
+
+enum KnotGlyph {{
+    static let strands: [[CGPoint]] = [
+{points},
+    ]
+
+    static let menuBarImage: NSImage = {{
+        let image = NSImage(size: NSSize(width: 18, height: 18), flipped: true) {{ _ in
+            NSColor.black.setStroke()
+            for strand in strands {{
+                let path = NSBezierPath()
+                path.move(to: strand[0])
+                for point in strand.dropFirst() {{ path.line(to: point) }}
+                path.lineWidth = 1.9
+                path.lineCapStyle = .round
+                path.lineJoinStyle = .round
+                path.stroke()
+            }}
+            return true
+        }}
+        image.isTemplate = true
+        image.accessibilityDescription = "Knotchy"
+        return image
+    }}()
+}}
+''')
+print("knot: 3 strands; wrote knot.json, assets/*.svg, Sources/Knotchy/KnotGlyph.swift")