Data commit

Task/Dice-game-probabilities/Go/dice-game-probabilities-1.go

@@ -0,0 +1,48 @@
+package main
+
+import(
+    "math"
+    "fmt"
+)
+
+func minOf(x, y uint) uint {
+    if x < y {
+        return x
+    }
+    return y
+}
+
+func throwDie(nSides, nDice, s uint, counts []uint) {
+    if nDice == 0 {
+        counts[s]++
+        return
+    }
+    for i := uint(1); i <= nSides; i++ {
+        throwDie(nSides, nDice - 1, s + i, counts)
+    }
+}
+
+func beatingProbability(nSides1, nDice1, nSides2, nDice2 uint) float64 {
+    len1 := (nSides1 + 1) * nDice1
+    c1 := make([]uint, len1)  // all elements zero by default
+    throwDie(nSides1, nDice1, 0, c1)
+
+    len2 := (nSides2 + 1) * nDice2
+    c2 := make([]uint, len2)
+    throwDie(nSides2, nDice2, 0, c2)
+    p12 := math.Pow(float64(nSides1), float64(nDice1)) *
+           math.Pow(float64(nSides2), float64(nDice2))
+
+    tot := 0.0
+    for i := uint(0); i < len1; i++ {
+        for j := uint(0); j < minOf(i, len2); j++ {
+            tot += float64(c1[i] * c2[j]) / p12
+        }
+    }
+    return tot
+}
+
+func main() {
+    fmt.Println(beatingProbability(4, 9, 6, 6))
+    fmt.Println(beatingProbability(10, 5, 7, 6))
+}

Task/Dice-game-probabilities/Go/dice-game-probabilities-2.go

@@ -0,0 +1,32 @@
+package main
+
+import (
+	"fmt"
+	"math/rand"
+)
+
+type set struct {
+	n, s int
+}
+
+func (s set) roll() (sum int) {
+	for i := 0; i < s.n; i++ {
+		sum += rand.Intn(s.s) + 1
+	}
+	return
+}
+
+func (s set) beats(o set, n int) (p float64) {
+	for i := 0; i < n; i++ {
+		if s.roll() > o.roll() {
+			p = p + 1.0
+		}
+	}
+	p = p / float64(n)
+	return
+}
+
+func main() {
+	fmt.Println(set{9, 4}.beats(set{6, 6}, 1000))
+	fmt.Println(set{5, 10}.beats(set{6, 7}, 1000))
+}