package day24 import ( "log" "os" "strconv" "strings" ) const ( CoordMin int = 7 CoordMax int = 27 ) type Point struct { x, y, Z int } type HailParam struct { p0, p1 Point Dx, Dy, Dz int line string } func (h HailParam)String() string { return "(" + h.line + ")" } func CheckPairwiseIntersections(hails []HailParam) (totalIntersections int) { for i, hail := range hails { for j := i+1; j < len(hails); j++ { otherHail := hails[j] intersect := CheckTaskIntersection(hail, otherHail) if intersect { totalIntersections += 1 } } } return } func CheckTaskIntersection(h1, h2 HailParam) (doIntersect bool) { log.Printf("intersecting %+v and %+v\n", h1, h2) x, y, intersectAtAll := IntersectByTwoPoints(h1, h2) if !intersectAtAll { log.Printf("no intersection at all\n") return false } if x < float64(CoordMin) || x > float64(CoordMax) || y < float64(CoordMin) || y > float64(CoordMax) { log.Printf("intersect at %f %f but outside of area\n", x, y) return false // outside of area } isH1Future := h1.FloatPointInFuture(x,y) isH2Future := h2.FloatPointInFuture(x,y) if !isH1Future { log.Printf("in the past for h1\n") } if !isH2Future { log.Printf("in the past for h2\n") } if !isH1Future || !isH2Future { return false } log.Println("intersect inside of the area") return true } // in 2d only func IntersectByTwoPoints(h1, h2 HailParam) (intersectionX, intersectoinY float64, isIntersecting bool) { p1 := h1.p0 p2 := h1.p1 p3 := h2.p0 p4 := h2.p1 denominator := (p1.x - p2.x)*(p3.y - p4.y) - (p1.y - p2.y)*(p3.x - p4.x) if denominator == 0 { return 0, 0, false } divisibleX := (p1.x * p2.y - p1.y * p2.x)*(p3.x - p4.x) - (p1.x - p2.x)*(p3.x * p4.y - p3.y * p4.x) divisibleY := (p1.x * p2.y - p1.y * p2.x)*(p3.y - p4.y) - (p1.y - p2.y)*(p3.x * p4.y - p3.y * p4.x) x := float64(divisibleX) / float64(denominator) y := float64(divisibleY) / float64(denominator) return x, y, true } func (h HailParam)PointInFuture(p Point) bool { xPositiveSteps := (p.x - h.p0.x) * h.Dx >= 0 yPositiveSteps := (p.y - h.p0.y) * h.Dy >= 0 zPositiveSteps := (p.Z - h.p0.Z) * h.Dz >= 0 return xPositiveSteps && yPositiveSteps && zPositiveSteps } func (h HailParam)FloatPointInFuture(x, y float64) bool { xPositiveSteps := (x - float64(h.p0.x)) * float64(h.Dx) >= 0 yPositiveSteps := (y - float64(h.p0.y)) * float64(h.Dy) >= 0 return xPositiveSteps && yPositiveSteps } // 19, 13, 30 @ -2, 1, -2 func ReadHailLine(line string) (h HailParam) { h.line = line line = strings.ReplaceAll(line, "@", "") line = strings.ReplaceAll(line, ",", "") fields := strings.Fields(line) h.p0.x = AtoIOrPanic(fields[0]) h.p0.y = AtoIOrPanic(fields[1]) h.p0.Z = AtoIOrPanic(fields[2]) h.Dx = AtoIOrPanic(fields[3]) h.Dy = AtoIOrPanic(fields[4]) h.Dz = AtoIOrPanic(fields[5]) h.p1.x = h.p0.x + h.Dx h.p1.y = h.p0.y + h.Dy h.p1.Z = h.p0.Z + h.Dz return } func ReadHailFile(filename string) []HailParam { bytes, err := os.ReadFile(filename) if err != nil { panic(err) } text := strings.TrimSpace(string(bytes)) lines := strings.Split(text, "\n") result := make([]HailParam, len(lines)) for i, line := range lines { result[i] = ReadHailLine(line) } return result } func AtoIOrPanic(str string) (num int) { num, err := strconv.Atoi(str) if err != nil { panic(err) } return }