"""Generate the continuous red/blue infinity identity as editable SVG assets."""
import json
import math
from pathlib import Path

ROOT = Path(__file__).resolve().parents[1]
OUT = ROOT / 'public' / 'brand'
OUT.mkdir(exist_ok=True)

def point(t):
    return 160 + 130 * math.sin(t), 96 + 59 * math.sin(2 * t)

def tangent(t):
    return 130 * math.cos(t), 118 * math.cos(2 * t)

# Cubic segments retain a smooth tangent through both loops and the crossover.
step=math.pi/4
parts=['M160 96']
for i in range(8):
    a,b=i*step,(i+1)*step
    p,q=point(a),point(b)
    u,v=tangent(a),tangent(b)
    parts.append('C'+ ' '.join(f'{n:.3f}' for n in (p[0]+u[0]*step/3,p[1]+u[1]*step/3,q[0]-v[0]*step/3,q[1]-v[1]*step/3,q[0],q[1])))
path=''.join(parts)+'Z'
(ROOT/'src'/'brandGeometry.json').write_text(json.dumps({'path':path},separators=(',', ':'))+'\n')
body=f'<defs><linearGradient id="infinity-color" x1="25" y1="96" x2="295" y2="96" gradientUnits="userSpaceOnUse"><stop stop-color="#367dc5"/><stop offset=".5" stop-color="#9473a6"/><stop offset="1" stop-color="#df6254"/></linearGradient></defs><path d="{path}" fill="none" stroke="url(#infinity-color)" stroke-width="18" stroke-linecap="round" stroke-linejoin="round"/>'
(OUT/'ouroboros-mark.svg').write_text(f'<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 320 192" role="img" aria-labelledby="title"><title id="title">Ouroboros — a continuous blue-to-red infinity loop</title>{body}</svg>\n')
(OUT/'ouroboros-avatar.svg').write_text(f'<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 512 512"><rect width="512" height="512" rx="112" fill="#f8f9fa"/><g transform="translate(16 112) scale(1.5)">{body}</g></svg>\n')
(ROOT/'public'/'favicon.svg').write_text(f'<svg xmlns="http://www.w3.org/2000/svg" viewBox="0 0 64 64"><rect width="64" height="64" rx="14" fill="#f8f9fa"/><g transform="translate(1.6 13.76) scale(.19)">{body}</g></svg>\n')
print('Generated continuous infinity mark, avatar, favicon and shared React geometry.')