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feat: Added Haskell and Go.

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Spencer Brower
2022-07-04 18:49:33 -04:00
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.DS_Store

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*.out
*.sublime-project
*.sublime-workspace

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language: go
install:
- go get -t ./...
- go get golang.org/x/tools/cmd/cover
- go get github.com/mattn/goveralls
script:
- PATH="$HOME/gopath/bin:$PATH"
- go test ./... -v -covermode=count -coverprofile=cover.out
- goveralls -coverprofile cover.out -service=travis-ci -repotoken $TOKEN

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under certain conditions; type `show c' for details.
The hypothetical commands `show w' and `show c' should show the appropriate
parts of the General Public License. Of course, your program's commands
might be different; for a GUI interface, you would use an "about box".
You should also get your employer (if you work as a programmer) or school,
if any, to sign a "copyright disclaimer" for the program, if necessary.
For more information on this, and how to apply and follow the GNU GPL, see
<http://www.gnu.org/licenses/>.
The GNU General Public License does not permit incorporating your program
into proprietary programs. If your program is a subroutine library, you
may consider it more useful to permit linking proprietary applications with
the library. If this is what you want to do, use the GNU Lesser General
Public License instead of this License. But first, please read
<http://www.gnu.org/philosophy/why-not-lgpl.html>.

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[![GoDoc](https://godoc.org/github.com/sbrow/risk?status.svg)](https://godoc.org/github.com/sbrow/risk) [![Build Status](https://travis-ci.org/sbrow/risk.svg?branch=master)](https://travis-ci.org/sbrow/risk) [![Coverage Status](https://coveralls.io/repos/github/sbrow/risk/badge.svg?branch=master)](https://coveralls.io/github/sbrow/risk?branch=master) [![Go Report Card](https://goreportcard.com/badge/github.com/sbrow/risk)](https://goreportcard.com/report/github.com/sbrow/risk)
# Risk

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module github.com/sbrow/risk
require github.com/sbrow/prob v1.0.1

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package risk
func min(a, b int) int {
if a < b {
return a
}
return b
}
func max(a, b int) int {
if a > b {
return a
}
return b
}

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package risk
import (
"fmt"
"sort"
"strconv"
"strings"
"github.com/sbrow/prob/dice"
)
const Delim = ","
// loadRolls loads a roll table from path
func loadRolls(n int) []string {
d := make([]dice.Die, n)
for i := 0; i < n; i++ {
d[i] = dice.D6()
}
rolls, err := dice.NewTable(d)
if err != nil {
panic(err) // TODO(sbrow): Fix
}
var out []string
for _, s := range rolls.Data {
out = append(out, s[0])
}
return out
}
func sortRoll(s string) string {
i := strToInt(s)
sort.Sort(sort.Reverse(sort.IntSlice(i)))
s = fmt.Sprint(i[0], s[1:])
for j := 2; j <= len(s)-1; j += 2 {
s = fmt.Sprint(s[:j], i[j/2], s[j+1:])
}
s = fmt.Sprint(s[:len(s)-1], i[len(i)-1])
return s
}
// Compare enumerates the results of a combat.
//
// TODO(sbrow): Rename
func Compare(atk, def int, mods ...string) (win, tie, loss float64) {
if atk < 1 || def < 1 {
return
}
sum := 0.0
for _, atkRoll := range loadRolls(min(atk, 3)) {
atkRoll = sortRoll(atkRoll)
for _, defRoll := range loadRolls(min(def, 2)) {
defRoll = sortRoll(defRoll)
lost := Combat(atkRoll, defRoll, mods...)
switch {
case lost == 0:
win++
case lost == 1:
if atk > 1 && def > 1 {
tie++
} else {
loss++
}
case lost == 2:
loss++
}
sum++
}
}
return win / sum, tie / sum, loss / sum
}
// strToInt converts a string value to a list of ints,
// using rolltable.Delim as the delimiter.
func strToInt(s string) []int {
i := []int{}
for _, t := range strings.Split(s, dice.Delim) {
n, err := strconv.Atoi(t)
if err != nil {
panic(err)
}
i = append(i, n)
}
return i
}
// Combat determines the winner of a dice clash.
func Combat(atk, def string, mod ...string) int {
a, d := strToInt(atk), strToInt(def)
addModifiers(&a, &d, mod...)
short := min(len(a), len(d))
lost := 0
for i := 0; i < short; i++ {
if d[i] >= a[i] {
lost++
}
}
return lost
}
// addModifiers adds modifiers to the dice roll
func addModifiers(atk, def *[]int, mod ...string) {
sort.Ints(*atk)
sort.Ints(*def)
if len(*atk) > len(*def) {
*atk = (*atk)[len(*def)-1:]
}
for _, m := range mod {
switch m {
case "fortification":
if len(*def) == 2 {
(*def)[1] = min((*def)[1]+1, 6)
}
fallthrough
case "bunker":
(*def)[0] = min((*def)[0]+1, 6)
case "ammo shortage":
i := 0
if len(*def) == 2 {
i = 1
}
(*def)[i] = max((*def)[1]-1, 0)
}
}
sort.Sort(sort.Reverse(sort.IntSlice(*atk)))
sort.Sort(sort.Reverse(sort.IntSlice(*def)))
}

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package risk
import (
"fmt"
"math/rand"
"sort"
"testing"
"time"
"github.com/sbrow/prob/dice"
)
func init() {
_, _ = dice.NewTable(dice.New(dice.D6()))
_, _ = dice.NewTable(dice.New(dice.D6(), dice.D6(), dice.D6()))
_, _ = dice.NewTable(dice.New(dice.D6(), dice.D6()))
}
var comparetests = []struct {
att int
def int
want string
}{
{2, 1, "0.5787 0.0000 0.4213"},
{3, 1, "0.6597 0.0000 0.3403"},
{2, 2, "0.2276 0.3241 0.4483"},
}
func TestCompare(t *testing.T) {
for i, tt := range comparetests {
t.Run(fmt.Sprint(i), func(t *testing.T) {
win, loss, tie := Compare(tt.att, tt.def)
s := fmt.Sprintf("%.4f %.4f %.4f", win, loss, tie)
if s != tt.want {
t.Errorf("got %q, want %q", s, tt.want)
}
})
}
}
var walktests = []struct {
att int
def int
oneDef bool
mods []string
want string
}{
{1, 1, false, []string{}, "0.4167 0.5833"},
{1, 1, true, []string{}, "0.4167 0.5833"},
{2, 1, false, []string{}, "0.5787 0.1755 0.2458"},
{2, 1, true, []string{}, "0.5787 0.1755 0.2458"},
{3, 1, false, []string{}, "0.6597 0.1969 0.0597 0.0836"},
{3, 1, true, []string{}, "0.6597 0.1969 0.0597 0.0836"},
{2, 2, false, []string{}, "0.2276 0.1350 0.6373"},
// {2, 2, true, []string{}, "0.2276 0.1350 0.6373"},
{2, 2, true, []string{"bunker", "bunker", "bunker", "bunker", "bunker"},
"0.0000 0.0000 1.0000"},
}
func TestCompleteWalk(t *testing.T) {
for i, tt := range walktests {
t.Run(fmt.Sprint(i), func(t *testing.T) {
node := new(tt.att, tt.def, tt.oneDef, tt.mods...)
s := fmt.Sprint(node.Report(true))
if s != tt.want {
t.Errorf("got %q, want %q", s, tt.want)
}
})
}
}
func TestThings(t *testing.T) {
rand.Seed(time.Now().UnixNano())
sum := 0
n := 100000
for i := 0; i < n; i++ {
atk := []int{rand.Intn(6) + 1, rand.Intn(6) + 1}
def := []int{rand.Intn(6) + 1} //, rand.Intn(6) + 1}
sort.Ints(atk)
sort.Ints(def)
if def[0] < atk[0] { // && def[1] < atk[1] {
sum++
}
}
fmt.Println(float64(sum) / float64(n))
}

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package risk
import (
"fmt"
)
type node struct {
att int // Number of attackers.
def int // Number of defenders.
edges []*edge
}
func (n *node) Report(short bool) string {
s := ""
if !short {
s += fmt.Sprintf("Projected Losses: %dv%d\n", n.att, n.def)
}
for i, odds := range n.walk() {
if short {
s += fmt.Sprintf("%.4f ", odds)
} else {
s += fmt.Sprintf("%-2d casualties - %.4f%%\n", i, 100*odds)
}
}
return s[:len(s)-1]
}
func (n *node) walk() []float64 {
// TODO(sbrow): Fix
var ch = make(chan []int, 1000)
for i, node := range n.edges {
if node != nil {
walker(ch, node.node, []int{i})
}
}
close(ch)
sorted := make([]float64, n.att+1)
for r := range ch {
lost, path := n.Walk(r...)
sorted[lost] += path
}
return sorted
}
func walker(ch chan []int, curr *node, path []int) {
if curr == nil {
return
}
for i, node := range curr.edges {
if node != nil {
walker(ch, node.node, append(path, i))
} else {
if i+1 == len(curr.edges) {
cpy := make([]int, len(path))
copy(cpy, path)
ch <- cpy
}
}
}
}
func (n *node) Walk(path ...int) (att int, p float64) {
curr := n.edges[path[0]].node
p = n.edges[path[0]].p
for _, n := range path[1:] {
p *= curr.edges[n].p
curr = curr.edges[n].node
}
return n.att - curr.att, p
}
type edge struct {
node *node
p float64
}
func new(att, def int, oneDef bool, mods ...string) *node {
n := &node{
att: att,
def: def,
}
if att < 1 || def < 1 {
n.edges = []*edge{nil}
return n
}
d := def
if oneDef {
d = 1
}
win, tie, loss := Compare(att, d, mods...)
switch {
case att >= 2 && def >= 2 && !oneDef:
n.edges = []*edge{
{node: new(att, def-2, oneDef, mods...), p: win},
{node: new(att-1, def-1, oneDef, mods...), p: tie},
{node: new(att-2, def, oneDef, mods...), p: loss},
}
default:
n.edges = []*edge{nil, nil}
if win > 0 {
n.edges[0] = &edge{node: new(att, def-1, oneDef, mods...), p: win}
}
n.edges[1] = &edge{node: new(att-1, def, oneDef, mods...), p: loss}
}
return n
}

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digraph {
// graph [splines=line]
graph [outputorder="edgesfirst"]
node [shape=record]
SixZero [label="6v0"]
FiveOne [label="5v1"]
FourTwo [label="4v2"]
ThreeThree [label="3v3"]
TwoFour [label="2v4"]
OneFive [label="1v5"]
ZeroSix [label="0v6"]
FiveOne -> FiveZero, FourOne
FourTwo -> FourZero, ThreeOne, TwoTwo
ThreeThree -> ThreeOne, TwoTwo, OneThree
TwoFour -> ZeroFour, TwoTwo, OneThree
OneFive -> OneFour, ZeroFive
{ordering=out; FiveOne, FourTwo}
{rank=same; FiveOne; FourTwo; ThreeThree; TwoFour}//ThreeThree}
FiveZero [label="5v0"]
FourOne [label="4v1"]
ThreeTwo [label="3v2"]
TwoThree [label="2v3"]
OneFour [label="1v4"]
ZeroFive [label="0v5"]
FourOne -> FourZero, ThreeOne
ThreeTwo -> OneTwo, TwoOne, ThreeZero
TwoThree -> ZeroThree, OneTwo, TwoOne
OneFour -> OneThree, ZeroFour
{rank=same; FourOne; ThreeTwo; TwoThree}
FourZero [label="4v0"]
ThreeOne [label="3v1"]
TwoTwo [label="2v2"]
OneThree [label="1v3"]
ZeroFour [label="0v4"]
ThreeOne -> ThreeZero, TwoOne
TwoTwo -> TwoZero, OneOne, ZeroTwo
OneThree -> OneTwo, ZeroThree
{rank=same; ThreeOne; TwoTwo; OneThree}
ThreeZero [label="3v0"]
TwoOne [label="2v1"]
OneTwo [label="1v2"]
ZeroThree [label="0v3"]
OneTwo -> OneOne, ZeroTwo
TwoOne -> TwoZero, OneOne
TwoZero [label="2v0"]
OneOne [label="1v1"]
ZeroTwo [label="0v2"]
OneOne -> OneZero, ZeroOne
OneZero [label="1v0"]
ZeroOne [label="0v1"]
}

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# Revision history for risk
## 0.1.0.0 -- YYYY-mm-dd
* First version. Released on an unsuspecting world.

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#!/usr/bin/env stack
-- stack runghc
import Risk
maximum' :: Ord a => [a] -> a
maximum' = foldr1 (\x y ->if x >= y then x else y)
maximum'' :: Ord a => [a] -> a
maximum'' [x] = x
maximum'' (x:x':xs) = maximum' ((if x >= x' then x else x'):xs)
a :: [Int]
a = [3,5,8,6]
main :: IO ()
main = print $ maximum'' a
-- main = print $ possibleOutcomes 3 3
-- main = print $ Result(3, 5) + Result(1, 2)

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ignore-project: False
tests: True

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cabal-version: 2.4
name: risk
version: 0.1.0.0
-- A short (one-line) description of the package.
-- synopsis:
-- A longer description of the package.
-- description:
-- A URL where users can report bugs.
-- bug-reports:
-- The license under which the package is released.
-- license:
author: spencer
maintainer: brower.spencer@gmail.com
-- A copyright notice.
-- copyright:
-- category:
extra-source-files: CHANGELOG.md
executable risk
main-is: Main.hs
-- Modules included in this executable, other than Main.
other-modules: Dice, Risk
-- LANGUAGE extensions used by modules in this package.
-- other-extensions:
build-depends: base ^>=4.14.1.0, containers, combinat
hs-source-dirs: app, src
default-language: Haskell2010
Test-Suite test
type: exitcode-stdio-1.0
main-is: Spec.hs
hs-source-dirs: test
default-language: Haskell2010
build-depends:
base >= 4 && < 5,
tasty >= 1.4.1,
tasty-hunit,
tasty-quickcheck,
tasty-smallcheck

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module Dice (d, dice, total) where
infixl 5 `d`
d :: Integer -> Integer -> [[Integer]]
n `d` s = dice n s
-- Returns the entire possibility space of rolling d dice with sides sides.
dice :: Integer -> Integer -> [[Integer]]
dice d sides
| d == 1 = [ [d] | d<-[1..sides]]
| otherwise = combine (dice (d-1) sides) (dice 1 sides)
-- Returns the total possible dice combinations
total :: Integer -> Integer -> Integer
total d sides
| d == 1 = sides
| otherwise = (total (d-1) sides) * sides
-- Get the union of all combinations of set a with set b
combine :: [[Integer]] -> [[Integer]] -> [[Integer]]
combine a b = [ x ++ y | x<-a, y<-b ]

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-- | Functions for exploring the possibility space of the board game Risk.
module Risk (Result (Result), Possibility (Possibility), battle, fight, odds, possibleOutcomes) where
import Data.List
import Data.Ord
import Data.Tree
import Dice
-- | Represents A number of attackers and defenders respectively.
data Result = Result (Integer, Integer) deriving (Eq, Ord, Show)
instance Num Result where
Result (x, y) + Result (x', y') = Result (x + x', y + y')
Result (x, y) - Result (x', y') = Result (x - x', y - y')
Result (x, y) * Result (x', y') = Result (x * x', y * y')
abs (Result (x, y)) = Result (abs x, abs y)
signum (Result (x, y)) = Result (signum x, signum y)
-- | A Particular result, and the Probability of arriving at it.
-- The Probability should be a number between 0 and 1, inclusive.
data Possibility = Possibility (Result, Float) deriving (Ord, Show)
instance Num Possibility where
Possibility (a, b) + Possibility (a', b') = Possibility (a, b + b')
Possibility (a, b) - Possibility (a', b') = Possibility (a, b - b')
abs pos = pos
signum pos = 1
instance Eq Possibility where
Possibility (a, b) == Possibility (a', b') = a == a'
-- | Compares two dice and returns the casualties as a 'Result'.
-- The 'Result' returned is relative e.g.
-- @
-- Result(0, 1)
-- @
-- . You must add the 'Result' to Your starting numbers.
battle :: Integer -> Integer -> Result
battle att def
| att == 0 = Result (0, 0)
| def == 0 = Result (0, 0)
| att <= def = Result (-1, 0)
| att > def = Result (0, -1)
-- | Returns the losses of a battle given the attacking and defending dice rolls.
-- Requires pre-sorted arguments
fight :: ((Integer, Integer, Integer), (Integer, Integer)) -> Result
fight ((attHigh, attMid, attLow), (defHigh, defLow)) = battle attHigh defHigh + battle attMid defLow
-- | Returns a Tree of all the possible results of fighting,
-- including intermediate (non-terminal) results.
odds :: Integer -> Integer -> Tree Possibility
odds att def = unfoldTree buildNode $ Possibility (Result (att, def), 1.0)
where
buildNode :: Possibility -> (Possibility, [Possibility])
buildNode node
| def == 0 || att == 0 = (node, [])
| def == 1 && att == 1 = (node, oneVoneLosses node)
| def == 1 && att == 2 = (node, twoVoneLosses node)
| def == 1 && att >= 3 = (node, threeVoneLosses node)
| def >= 2 && att == 1 = (node, oneVtwoLosses node)
| def >= 2 && att == 2 = (node, twoVtwoLosses node)
| def >= 2 && att >= 3 = (node, threeVtwoLosses node)
where
Possibility (Result (att, def), p) = node
-- | Returrns a linked list of all the possible terminal outcomes of fighting.
-- Assumes attackers and defenders will always roll as many dice as possible,
-- And will contiune fighting until one side is dead.
possibleOutcomes :: Integer -> Integer -> [Possibility]
possibleOutcomes att def = outcomes
where
outcomes = [sumProbabilities p | p <- groupedResults]
sumProbabilities = foldr (+) (Possibility (Result (0, 0), 0))
groupedResults = (group . reverse . sort . removeStems . flatten) results
removeStems = filter onlyLeaves
onlyLeaves (Possibility (Result (att, def), p)) = att == 0 || def == 0
results = odds att def
-- Converts a list of dice rolls into tuples that can be fed to fight.
toRolls :: [[Integer]] -> [((Integer, Integer, Integer), (Integer, Integer))]
toRolls dice = [toTuple . sortArgs . splitArgs $ x | x <- dice]
where
-- Split args int attackers and defenders
splitArgs = splitAt 3
sortArgs (att, def) = (sortOn Down att, sortOn Down def)
toTuple (x, y) = ((x !! 0, x !! 1, x !! 2), (y !! 0, y !! 1))
groupRolls :: [((Integer, Integer, Integer), (Integer, Integer))] -> [[Result]]
groupRolls rolls = (group . reverse . sort) [fight roll | roll <- rolls]
rollsByProbability :: [((Integer, Integer, Integer), (Integer, Integer))] -> Integer -> Possibility -> [Possibility]
rollsByProbability rolls tot (Possibility (units, p)) = [Possibility (units + head loss, p * (fromIntegral (length loss) / fromIntegral tot)) | loss <- groupRolls rolls]
oneVoneLosses :: Possibility -> [Possibility]
oneVoneLosses = rollsByProbability rolls (total 2 6)
where
rolls = toRolls . fill $ 2 `d` 6
fill rolls = [[roll !! 0, 0, 0, roll !! 1, 0] | roll <- rolls]
twoVoneLosses :: Possibility -> [Possibility]
twoVoneLosses = rollsByProbability rolls (total 3 6)
where
rolls = toRolls . fill $ 3 `d` 6
fill rolls = [[roll !! 0, roll !! 1, 0, roll !! 2, 0] | roll <- rolls]
oneVtwoLosses :: Possibility -> [Possibility]
oneVtwoLosses = rollsByProbability rolls (total 3 6)
where
rolls = toRolls . fill $ 3 `d` 6
fill rolls = [[roll !! 0, 0, 0, roll !! 1, roll !! 2] | roll <- rolls]
twoVtwoLosses :: Possibility -> [Possibility]
twoVtwoLosses = rollsByProbability rolls (total 4 6)
where
rolls = toRolls . fill $ 4 `d` 6
fill rolls = [[roll !! 0, roll !! 1, 0, roll !! 2, roll !! 3] | roll <- rolls]
threeVtwoLosses :: Possibility -> [Possibility]
threeVtwoLosses = rollsByProbability rolls (total 5 6)
where
rolls = toRolls $ 5 `d` 6
threeVoneLosses :: Possibility -> [Possibility]
threeVoneLosses = rollsByProbability rolls (total 4 6)
where
rolls = toRolls . fill $ 4 `d` 6
fill rolls = [[roll !! 0, roll !! 1, roll !! 2, roll !! 3, 0] | roll <- rolls]

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import Test.Tasty
import Test.Tasty.HUnit
import Test.Tasty.QuickCheck
import qualified Test.Tasty.SmallCheck as SC
arith :: Integer -> Integer -> Property
arith x y = (x > 0) && (y > 0) ==> (x+y)^2 > x^2 + y^2
negation :: Integer -> Bool
negation x = abs (x^2) >= x
suite :: TestTree
suite = testGroup "Test Suite" [
testGroup "Units"
[ testCase "Equality" $ True @=? True
, testCase "Assertion" $ assert $ (length [1,2,3]) == 3
],
testGroup "QuickCheck tests"
[ testProperty "Quickcheck test" arith
],
testGroup "SmallCheck tests"
[ SC.testProperty "Negation" negation
]
]
main :: IO ()
main = defaultMain suite