package main

import (
	"fmt"
	"math"
)

func main() {
	const n = 12
	a := 1400.0
	b := 4200.0
	theta0 := 0.38
	dtheta := 0.52
	pts := make([]struct{ x, y, r float64 }, n)
	for i := 0; i < n; i++ {
		th := theta0 + float64(i)*dtheta
		r := a + b*th
		pts[i].x = r * math.Cos(th)
		pts[i].y = r * math.Sin(th)
		pts[i].r = r
		fmt.Printf("%d: %d, %d (r=%.0f)\n", i, int(math.Round(pts[i].x)), int(math.Round(pts[i].y)), r)
	}
	fmt.Println("--- distances ---")
	var sum float64
	for i := 0; i < n; i++ {
		j := (i + 1) % n
		d := math.Hypot(pts[j].x-pts[i].x, pts[j].y-pts[i].y)
		sum += d
		fmt.Printf("%d->%d: %.0f\n", i, j, d)
	}
	fmt.Println("avg:", sum/float64(n))
}
