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Ingy döt Net 2023-07-01 11:58:00 -04:00
parent 7387c8f97b
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---
category:
- Chess960
from: http://rosettacode.org/wiki/Generate_Chess960_starting_position

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'''[[wp:Chess960|Chess960]]''' is a variant of chess created by world champion [[wp:Bobby Fischer|Bobby Fischer]]. Unlike other variants of the game, Chess960 does not require a different material, but instead relies on a random initial position, with a few constraints:
* as in the standard chess game, all eight white pawns must be placed on the second rank.
* White pieces must stand on the first rank as in the standard game, in random column order but with the two following constraints:
** the bishops must be placed on opposite color squares (i.e. they must be an odd number of spaces apart or there must be an even number of spaces between them)
** the King must be between two rooks (with any number of other pieces between them all)
* Black pawns and pieces must be placed respectively on the seventh and eighth ranks, mirroring the white pawns and pieces, just as in the standard game. (That is, their positions are not independently randomized.)
<br>
With those constraints there are '''960''' possible starting positions, thus the name of the variant.
;Task:
The purpose of this task is to write a program that can randomly generate any one of the 960 Chess960 initial positions. You will show the result as the first rank displayed with [[wp:Chess symbols in Unicode|Chess symbols in Unicode: ♔♕♖♗♘]] or with the letters '''K'''ing '''Q'''ueen '''R'''ook '''B'''ishop k'''N'''ight.
<br><br>

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F random960()
V start = [R, K, R]
L(piece) [Q, N, N]
start.insert(random:(start.len + 1), piece)
V bishpos = random:(start.len + 1)
start.insert(bishpos, Char(B))
start.insert(random:(bishpos + 1), Char(B))
R start
print(random960())

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⍝ Utility functions
divmod {(÷),|}
indices {()/}
result place placement; array; index; piece; result
(array piece index) placement
array[(array indices '-')[index]] piece
result array
result chess960 spid; array; n; b1; b2; n1; n2; q
spid 960 | spid
array 8/'-'
(n b1) spid divmod 4
array[2+2×b1] 'B'
(n b2) n divmod 4
array[1+2×b2] 'B'
(n q) n divmod 6
array place array 'Q' (1+q)
n1 1n<4 7 9 10
array place array 'N' n1
n2 (1 2 3 4 2 3 4 3 4 4)[n+1]
array place array 'N' n2
array place array 'R' 1
array place array 'K' 1
array place array 'R' 1
result spid, array

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DEFINE MAX_NUMBERS="200"
DEFINE MAX_LEN="20"
DEFINE MAX_FACTORS="5"
DEFINE PTR="CARD"
PROC PrintResult(BYTE max,n BYTE ARRAY factors PTR ARRAY texts)
BYTE i,j,t
BYTE ARRAY values(MAX_FACTORS)
FOR j=0 TO n-1
DO
values(j)=1
OD
FOR i=1 TO max
DO
t=0
FOR j=0 TO n-1
DO
IF values(j)=0 THEN
t=1 Print(texts(j))
FI
values(j)==+1
IF values(j)=factors(j) THEN
values(j)=0
FI
OD
IF t=0 THEN PrintB(i) FI
Put(32)
OD
RETURN
BYTE FUNC Find(CHAR ARRAY s CHAR c BYTE POINTER err)
BYTE i
FOR i=1 TO s(0)
DO
IF s(i)=c THEN
err^=0 RETURN (i)
FI
OD
err^=1
RETURN (0)
PROC Main()
BYTE max,i,n,pos,err
BYTE ARRAY factors(MAX_FACTORS)
PTR ARRAY texts(MAX_FACTORS)
CHAR ARRAY
s(100),tmp(100),
t0(MAX_LEN),t1(MAX_LEN),t2(MAX_LEN),
t3(MAX_LEN),t4(MAX_LEN)
texts(0)=t0 texts(1)=t1 texts(2)=t2
texts(3)=t3 texts(4)=t4
DO
PrintF("Max number (1-%B): ",MAX_NUMBERS)
max=InputB()
UNTIL max>=1 AND max<=MAX_NUMBERS
OD
n=0
DO
PrintF("Number of rules (1-%B): ",MAX_FACTORS)
n=InputB()
UNTIL n>=1 AND n<=MAX_FACTORS
OD
FOR i=0 TO n-1
DO
DO
PrintF("Rule #%B (number space text):",i+1)
InputS(s)
pos=Find(s,' ,@err)
IF pos=1 OR pos=s(0) THEN
err=1
FI
IF err=0 THEN
SCopyS(tmp,s,1,pos-1)
factors(i)=ValB(tmp)
IF factors(i)<2 THEN
err=1
FI
SCopyS(texts(i),s,pos+1,s(0))
FI
UNTIL err=0
OD
OD
PutE()
PrintResult(max,n,factors,texts)
RETURN

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; Using Edward Collins' single-die method
; http://www.edcollins.com/chess/fischer-random.htm
chess960: function [][
result: array.of: 8 ø
vacant: @0..7 ; open squares available to put pieces
result\[remove 'vacant <= 2 * random 0 3]: 'bishop ; place on random black square
result\[remove 'vacant <= 1 + 2 * random 0 3]: 'bishop ; place on random white square
loop ['queen 'knight 'knight] 'piece [
result\[remove 'vacant <= sample vacant]: piece ; place on random open square
]
result\[vacant\0]: 'rook ; place king between rooks on remaining open squares
result\[vacant\1]: 'king
result\[vacant\2]: 'rook
result
]
do.times:5 -> print chess960

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Loop, 5
Out .= Chess960() "`n"
MsgBox, % RTrim(Out, "`n")
Chess960() {
P := {}
P[K := Rand(2, 7)] := Chr(0x2654) ; King
P[Rand(1, K - 1)] := Chr(0x2656) ; Rook 1
P[Rand(K + 1, 8)] := Chr(0x2656) ; Rook 2
Loop, 8
Remaining .= P[A_Index] ? "" : A_Index "`n"
Sort, Remaining, Random N
P[Bishop1 := SubStr(Remaining, 1, 1)] := Chr(0x2657) ; Bishop 1
Remaining := SubStr(Remaining, 3)
Loop, Parse, Remaining, `n
if (Mod(Bishop1 - A_LoopField, 2))
Odd .= A_LoopField "`n"
else
Even .= A_LoopField "`n"
X := StrSplit(Odd Even, "`n")
P[X.1] := Chr(0x2657) ; Bishop 2
P[X.2] := Chr(0x2655) ; Queen
P[X.3] := Chr(0x2658) ; Knight 1
P[X.4] := Chr(0x2658) ; Knight 2
for Key, Val in P
Out .= Val
return Out
}
Rand(Min, Max) {
Random, n, Min, Max
return n
}

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for i = 1 to 10
inicio$ = "RKR"
pieza$ = "QNN"
for n = 1 to length(pieza$)
posic = int(rand*(length(inicio$) + 1)) + 1
inicio$ = left(inicio$, posic-1) + mid(pieza$, n, 1) + right(inicio$, length(inicio$) - posic + 1)
next n
posic = int(rand*(length(inicio$) + 1)) + 1
inicio$ = left(inicio$, posic-1) + "B" + right(inicio$, length(inicio$) - posic + 1)
posic += 1 + 2 * int(int(rand*(length(inicio$) - posic)) / 2)
inicio$ = left(inicio$, posic-1) + "B" + right(inicio$, length(inicio$) - posic + 1)
print inicio$
next i
end

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#.#.#.#.065*0#v_1-\>>?1v
v,":".:%*8"x"$<^!:\*2<+<
>48*,:4%2*1#v+#02#\3#g<<
v"B"*2%4:/4p<vg0:+1<\-1<
>\0p4/:6%0:0g>68*`#^_\:|
v"RKRNN"p11/6$p0\ "Q" \<
>"NRNKRRNNKRNRKNRRNKNR"v
v"NRNKRNRKNRNRKRNRNNKR"<
>"RKRNN"11g:!#v_\$\$\$\v
v _v#!`*86:g0:<^!:-1$\$<
>$\>,1+ :7`#@_^> v960v <

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#include <iostream>
#include <string>
#include <time.h>
using namespace std;
namespace
{
void placeRandomly(char* p, char c)
{
int loc = rand() % 8;
if (!p[loc])
p[loc] = c;
else
placeRandomly(p, c); // try again
}
int placeFirst(char* p, char c, int loc = 0)
{
while (p[loc]) ++loc;
p[loc] = c;
return loc;
}
string startPos()
{
char p[8]; memset( p, 0, 8 );
// bishops on opposite color
p[2 * (rand() % 4)] = 'B';
p[2 * (rand() % 4) + 1] = 'B';
// queen knight knight, anywhere
for (char c : "QNN")
placeRandomly(p, c);
// rook king rook, in that order
placeFirst(p, 'R', placeFirst(p, 'K', placeFirst(p, 'R')));
return string(p, 8);
}
} // leave local
namespace chess960
{
void generate( int c )
{
for( int x = 0; x < c; x++ )
cout << startPos() << "\n";
}
}
int main( int argc, char* argv[] )
{
srand( time( NULL ) );
chess960::generate( 10 );
cout << "\n\n";
return system( "pause" );
}

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#include<stdlib.h>
#include<locale.h>
#include<wchar.h>
#include<stdio.h>
#include<time.h>
char rank[9];
int pos[8];
void swap(int i,int j){
int temp = pos[i];
pos[i] = pos[j];
pos[j] = temp;
}
void generateFirstRank(){
int kPos,qPos,bPos1,bPos2,rPos1,rPos2,nPos1,nPos2,i;
for(i=0;i<8;i++){
rank[i] = 'e';
pos[i] = i;
}
do{
kPos = rand()%8;
rPos1 = rand()%8;
rPos2 = rand()%8;
}while((rPos1-kPos<=0 && rPos2-kPos<=0)||(rPos1-kPos>=0 && rPos2-kPos>=0)||(rPos1==rPos2 || kPos==rPos1 || kPos==rPos2));
rank[pos[rPos1]] = 'R';
rank[pos[kPos]] = 'K';
rank[pos[rPos2]] = 'R';
swap(rPos1,7);
swap(rPos2,6);
swap(kPos,5);
do{
bPos1 = rand()%5;
bPos2 = rand()%5;
}while(((pos[bPos1]-pos[bPos2])%2==0)||(bPos1==bPos2));
rank[pos[bPos1]] = 'B';
rank[pos[bPos2]] = 'B';
swap(bPos1,4);
swap(bPos2,3);
do{
qPos = rand()%3;
nPos1 = rand()%3;
}while(qPos==nPos1);
rank[pos[qPos]] = 'Q';
rank[pos[nPos1]] = 'N';
for(i=0;i<8;i++)
if(rank[i]=='e'){
rank[i] = 'N';
break;
}
}
void printRank(){
int i;
#ifdef _WIN32
printf("%s\n",rank);
#else
{
setlocale(LC_ALL,"");
printf("\n");
for(i=0;i<8;i++){
if(rank[i]=='K')
printf("%lc",(wint_t)9812);
else if(rank[i]=='Q')
printf("%lc",(wint_t)9813);
else if(rank[i]=='R')
printf("%lc",(wint_t)9814);
else if(rank[i]=='B')
printf("%lc",(wint_t)9815);
if(rank[i]=='N')
printf("%lc",(wint_t)9816);
}
}
#endif
}
int main()
{
int i;
srand((unsigned)time(NULL));
for(i=0;i<9;i++){
generateFirstRank();
printRank();
}
return 0;
}

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(ns c960.core
(:gen-class)
(:require [clojure.string :as s]))
;; legal starting rank - unicode chars for rook, knight, bishop, queen, king, bishop, knight, rook
(def starting-rank [\♖ \♘ \♗ \♕ \♔ \♗ \♘ \♖])
(defn bishops-legal?
"True if Bishops are odd number of indicies apart"
[rank]
(odd? (apply - (cons 0 (sort > (keep-indexed #(when (= \♗ %2) %1) rank))))))
(defn king-legal?
"True if the king is between two rooks"
[rank]
(let [king-&-rooks (filter #{\♔ \♖} rank)]
(and
(= 3 (count king-&-rooks))
(= \u2654 (second king-&-rooks)))))
(defn c960
"Return a legal rank for c960 chess"
([] (c960 1))
([n]
(->> #(shuffle starting-rank)
repeatedly
(filter #(and (king-legal? %) (bishops-legal? %)))
(take n)
(map #(s/join ", " %)))))
(c960)
;; => "♗, ♖, ♔, ♕, ♘, ♘, ♖, ♗"
(c960)
;; => "♖, ♕, ♘, ♔, ♗, ♗, ♘, ♖"
(c960 4)
;; => ("♘, ♖, ♔, ♘, ♗, ♗, ♖, ♕" "♗, ♖, ♔, ♘, ♘, ♕, ♖, ♗" "♘, ♕, ♗, ♖, ♔, ♗, ♘, ♖" "♖, ♔, ♘, ♘, ♕, ♖, ♗, ♗")

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100 REM CHESS 960
110 PRINT "SPID (-1 FOR RANDOM):";
120 OPEN 1,0:INPUT#1, SP$:CLOSE 1
130 SP=VAL(SP$)
140 IF SP<0 THEN SP=INT(RND(.)*960)
150 PRINT
160 DO WHILE SP>959: SP=SP-960: LOOP
170 AR$="--------"
180 P=SP
190 N=P AND 3:P=INT(P/4)
200 MID$(AR$,2*N+2,1)="B"
210 N=P AND 3:P=INT(P/4)
220 MID$(AR$,2*N+1,1)="B"
230 N=P-6*INT(P/6):P=INT(P/6)
240 P$="Q":GOSUB 420
250 N=P-10*INT(P/10):P=INT(P/10)
260 FOR N1=0 TO 3
270 : FOR N2=N1+1 TO 4
280 : IF N<>0 THEN 340
290 : P$="N":N=N1:GOSUB 420
300 : P$="N":N=N2-1:GOSUB 420
310 : N1=3
320 : N2=4
340 : N=N-1
350 : NEXT N2
360 NEXT N1
370 P$="R":N=0:GOSUB 420
380 P$="K":N=0:GOSUB 420
390 P$="R":N=0:GOSUB 420
400 PRINT STR$(SP);":";AR$
410 END
420 FOR I=1 TO LEN(AR$)
430 : IF MID$(AR$,I,1)<>"-" THEN 510
440 : IF N<>0 THEN 480
450 : MID$(AR$,I,1)=P$
460 : I=LEN(AR$)
470 : GOTO 510
480 : N=N-1
510 NEXT I
520 RETURN

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100 REM CHESS 960
110 PRINT "SPID (-1 FOR RANDOM):";
120 OPEN 1,0:INPUT#1, SP$:CLOSE 1
130 SP=VAL(SP$)
140 IF SP<0 THEN SP=INT(RND(.)*960)
150 PRINT
160 IF SP>959 THEN SP=SP-960: GOTO 160
170 AR$="--------"
180 P=SP
190 N=P AND 3:P=INT(P/4)
200 AR$=LEFT$(AR$,2*N+1)+"B"+MID$(AR$,2*N+3)
210 N=P AND 3:P=INT(P/4)
220 AR$=LEFT$(AR$,2*N)+"B"+MID$(AR$,2*N+2)
230 N=P-6*INT(P/6):P=INT(P/6)
240 P$="Q":GOSUB 420
250 N=P-10*INT(P/10):P=INT(P/10)
260 FOR N1=0 TO 3
270 : FOR N2=N1+1 TO 4
280 : IF N<>0 THEN 340
290 : P$="N":N=N1:GOSUB 420
300 : P$="N":N=N2-1:GOSUB 420
310 : N1=3
320 : N2=4
340 : N=N-1
350 : NEXT N2
360 NEXT N1
370 P$="R":N=0:GOSUB 420
380 P$="K":N=0:GOSUB 420
390 P$="R":N=0:GOSUB 420
400 PRINT STR$(SP);":";AR$
410 END
420 FOR I=1 TO LEN(AR$)
430 : IF MID$(AR$,I,1)<>"-" THEN 510
440 : IF N<>0 THEN 480
450 : AR$=LEFT$(AR$,I-1)+P$+MID$(AR$,I+1)
460 : I=LEN(AR$)
470 : GOTO 510
480 : N=N-1
510 NEXT I
520 RETURN

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(defun chess960-from-sp-id
(&optional (sp-id (random 360 (make-random-state t))))
(labels
((combinations (lst r)
(cond
((numberp lst)
(combinations (loop for i from 0 while (< i lst) collect i) r))
((= r 1)
(mapcar #'list lst))
(t
(loop for i in lst append
(let ((left (loop for j in lst if (< i j) collect j)))
(mapcar (lambda (c) (cons i c))
(combinations left (1- r))))))))
(enumerate (ary)
(loop for item across ary for index from 0
collect (list index item))))
(let*
((first-bishop -1)
(knight-combo '())
(placements (list
;divisor function to get position piece symbol
(list 4 (lambda (n) (setq first-bishop n)
(1+ (* 2 n))) ')
(list 4 (lambda (n) ( - (* 2 n) (if (> n first-bishop) 1 0))) ')
(list 6 #'identity ')
(list 10 (lambda (n)
(setq knight-combo (nth n (combinations 5 2)))
(car knight-combo)) ')
(list 1 (lambda (n) (1- (cadr knight-combo))) ')
(list 1 (lambda (n) 0) ')
(list 1 (lambda (n) 0) ')
(list 1 (lambda (n) 0) ')))
(p sp-id)
(ary (make-array 8 :initial-element '-)))
(loop for (divisor func piece) in placements doing
(let* ((n (mod p divisor))
(square (funcall func n)))
(setq p (floor p divisor))
(setq index
(car (nth square (remove-if-not (lambda (p) (eq (cadr p) '-))
(enumerate ary)))))
(setf (aref ary index) piece)))
(list sp-id ary))))
;; demo
(format t "~a~%" (chess960-from-sp-id 518))
(format t "~a~%" (chess960-from-sp-id))

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void main() {
import std.stdio, std.range, std.algorithm, std.string, permutations2;
const pieces = "KQRrBbNN";
alias I = indexOf;
auto starts = pieces.dup.permutations.filter!(p =>
I(p, 'B') % 2 != I(p, 'b') % 2 && // Bishop constraint.
// King constraint.
((I(p, 'r') < I(p, 'K') && I(p, 'K') < I(p, 'R')) ||
(I(p, 'R') < I(p, 'K') && I(p, 'K') < I(p, 'r'))))
.map!toUpper.array.sort().uniq;
writeln(starts.walkLength, "\n", starts.front);
}

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void main() {
import std.stdio, std.regex, std.range, std.algorithm, permutations2;
immutable pieces = "KQRRBBNN";
immutable bish = r"B(|..|....|......)B";
immutable king = r"R.*K.*R";
auto starts3 = permutations(pieces.dup)
.filter!(p => p.match(bish) && p.match(king))
.array.sort().uniq;
writeln(starts3.walkLength, "\n", starts3.front);
}

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void main() {
import std.stdio, std.random, std.array, std.range;
// Subsequent order unchanged by insertions.
auto start = "RKR".dup;
foreach (immutable piece; "QNN")
start.insertInPlace(uniform(0, start.length), piece);
immutable bishpos = uniform(0, start.length);
start.insertInPlace(bishpos, 'B');
start.insertInPlace(iota(bishpos % 2, start.length, 2)[uniform(0,$)], 'B');
start.writeln;
}

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(define-values (K Q R B N) (iota 5))
(define *pos* (list R N B Q K B N R)) ;; standard starter
;; check opposite color bishops, and King between rooks
(define (legal-pos p)
(and
(> (list-index K p) (list-index R p))
(> (list-index K (reverse p)) (list-index R (reverse p)))
(even? (+ (list-index B p) (list-index B (reverse p))))))
;; random shuffle current position until a legal one is found
(define (c960)
(set! *pos* (shuffle *pos*))
(if (legal-pos *pos*)
(map unicode-piece *pos*) (c960)))

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defmodule Chess960 do
@pieces ~w(♔ ♕ ♘ ♘ ♗ ♗ ♖ ♖) # ~w(K Q N N B B R R)
@regexes [~r/♗(..)*♗/, ~r/♖.*♔.*♖/] # [~r/B(..)*B/, ~r/R.*K.*R/]
def shuffle do
row = Enum.shuffle(@pieces) |> Enum.join
if Enum.all?(@regexes, &Regex.match?(&1, row)), do: row, else: shuffle
end
end
Enum.each(1..5, fn _ -> IO.puts Chess960.shuffle end)

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defmodule Chess960 do
def construct do
row = Enum.reduce(~w[♕ ♘ ♘], ~w[♖ ♔ ♖], fn piece,acc ->
List.insert_at(acc, :rand.uniform(length(acc)+1)-1, piece)
end)
[Enum.random([0, 2, 4, 6]), Enum.random([1, 3, 5, 7])]
|> Enum.sort
|> Enum.reduce(row, fn pos,acc -> List.insert_at(acc, pos, "♗") end)
|> Enum.join
end
end
Enum.each(1..5, fn _ -> IO.puts Chess960.construct end)

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defmodule Chess960 do
@krn ~w(NNRKR NRNKR NRKNR NRKRN RNNKR RNKNR RNKRN RKNNR RKNRN RKRNN)
def start_position, do: start_position(:rand.uniform(960)-1)
def start_position(id) do
pos = List.duplicate(nil, 8)
q = div(id, 4)
r = rem(id, 4)
pos = List.replace_at(pos, r * 2 + 1, "B")
q = div(q, 4)
r = rem(q, 4)
pos = List.replace_at(pos, r * 2, "B")
q = div(q, 6)
r = rem(q, 6)
i = Enum.reject(0..7, &Enum.at(pos,&1)) |> Enum.at(r)
pos = List.replace_at(pos, i, "Q")
krn = Enum.at(@krn, q) |> String.codepoints
Enum.reject(0..7, &Enum.at(pos,&1))
|> Enum.zip(krn)
|> Enum.reduce(pos, fn {i,x},acc -> List.replace_at(acc,i,x) end)
|> Enum.join
end
end
IO.puts "Generate Start Position from ID number"
Enum.each([0,518,959], fn id ->
:io.format "~3w : ~s~n", [id, Chess960.start_position(id)]
end)
IO.puts "\nGenerate random Start Position"
Enum.each(1..5, fn _ -> IO.puts Chess960.start_position end)

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USING: io kernel math random sequences ;
IN: rosetta-code.chess960
: empty ( seq -- n ) 32 swap indices random ; ! return a random empty index (i.e. equal to 32) of seq
: next ( seq -- n ) 32 swap index ; ! return the leftmost empty index of seq
: place ( seq elt n -- seq' ) rot [ set-nth ] keep ; ! set nth member of seq to elt, keeping seq on the stack
: white-bishop ( -- elt n ) CHAR: ♗ 4 random 2 * ;
: black-bishop ( -- elt n ) white-bishop 1 + ;
: queen ( seq -- seq elt n ) CHAR: ♕ over empty ;
: knight ( seq -- seq elt n ) CHAR: ♘ over empty ;
: rook ( seq -- seq elt n ) CHAR: ♖ over next ;
: king ( seq -- seq elt n ) CHAR: ♔ over next ;
: chess960 ( -- str )
" " clone
black-bishop place
white-bishop place
queen place
knight place
knight place
rook place
king place
rook place ;
: chess960-demo ( -- ) 5 [ chess960 print ] times ;
MAIN: chess960-demo

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USING: chess960 prettyprint ;
chess960-position .

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\ make starting position for Chess960, constructive
\ 0 1 2 3 4 5 6 7 8 9
create krn S" NNRKRNRNKRNRKNRNRKRNRNNKRRNKNRRNKRNRKNNRRKNRNRKRNN" mem,
create pieces 8 allot
: chess960 ( n -- )
pieces 8 erase
4 /mod swap 2* 1+ pieces + 'B swap c!
4 /mod swap 2* pieces + 'B swap c!
6 /mod swap pieces swap bounds begin dup c@ if swap 1+ swap then 2dup > while 1+ repeat drop 'Q swap c!
5 * krn + pieces 8 bounds do i c@ 0= if dup c@ i c! 1+ then loop drop
cr pieces 8 type ;
0 chess960 \ BBQNNRKR ok
518 chess960 \ RNBQKBNR ok
959 chess960 \ RKRNNQBB ok
960 choose chess960 \ random position

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program chess960
implicit none
integer, pointer :: a,b,c,d,e,f,g,h
integer, target :: p(8)
a => p(1)
b => p(2)
c => p(3)
d => p(4)
e => p(5)
f => p(6)
g => p(7)
h => p(8)
king: do a=2,7 ! King on an internal square
r1: do b=1,a-1 ! R1 left of the King
r2: do c=a+1,8 ! R2 right of the King
b1: do d=1,7,2 ! B1 on an odd square
if (skip_pos(d,4)) cycle
b2: do e=2,8,2 ! B2 on an even square
if (skip_pos(e,5)) cycle
queen: do f=1,8 ! Queen anywhere else
if (skip_pos(f,6)) cycle
n1: do g=1,7 ! First knight
if (skip_pos(g,7)) cycle
n2: do h=g+1,8 ! Second knight (indistinguishable from first)
if (skip_pos(h,8)) cycle
if (sum(p) /= 36) stop 'Loop error' ! Sanity check
call write_position
end do n2
end do n1
end do queen
end do b2
end do b1
end do r2
end do r1
end do king
contains
logical function skip_pos(i, n)
integer, intent(in) :: i, n
skip_pos = any(p(1:n-1) == i)
end function skip_pos
subroutine write_position
integer :: i, j
character(len=15) :: position = ' '
character(len=1), parameter :: names(8) = ['K','R','R','B','B','Q','N','N']
do i=1,8
j = 2*p(i)-1
position(j:j) = names(i)
end do
write(*,'(a)') position
end subroutine write_position
end program chess960

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Randomize Timer
For i As Byte = 1 To 10
Dim As String inicio = "RKR", pieza = "QNN"
Dim As Byte posic
For n As Byte = 1 To Len(pieza)
posic = Int(Rnd*(Len(inicio) + 1)) + 1
inicio = Left(inicio, posic-1) + _
Mid(pieza, n, 1) +_
Right(inicio, Len(inicio) - posic + 1)
Next n
posic = Int(Rnd*(Len(inicio) + 1)) + 1
inicio = Left(inicio, posic-1) + "B" + Right(inicio, Len(inicio) - posic + 1)
posic = posic + 1 + 2 * Int(Int(Rnd*(Len(inicio) - posic)) / 2)
inicio = Left(inicio, posic-1) + "B" + Right(inicio, Len(inicio) - posic + 1)
Print inicio
Next i

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package main
import (
"fmt"
"math/rand"
)
type symbols struct{ k, q, r, b, n rune }
var A = symbols{'K', 'Q', 'R', 'B', 'N'}
var W = symbols{'♔', '♕', '♖', '♗', '♘'}
var B = symbols{'♚', '♛', '♜', '♝', '♞'}
var krn = []string{
"nnrkr", "nrnkr", "nrknr", "nrkrn",
"rnnkr", "rnknr", "rnkrn",
"rknnr", "rknrn",
"rkrnn"}
func (sym symbols) chess960(id int) string {
var pos [8]rune
q, r := id/4, id%4
pos[r*2+1] = sym.b
q, r = q/4, q%4
pos[r*2] = sym.b
q, r = q/6, q%6
for i := 0; ; i++ {
if pos[i] != 0 {
continue
}
if r == 0 {
pos[i] = sym.q
break
}
r--
}
i := 0
for _, f := range krn[q] {
for pos[i] != 0 {
i++
}
switch f {
case 'k':
pos[i] = sym.k
case 'r':
pos[i] = sym.r
case 'n':
pos[i] = sym.n
}
}
return string(pos[:])
}
func main() {
fmt.Println(" ID Start position")
for _, id := range []int{0, 518, 959} {
fmt.Printf("%3d %s\n", id, A.chess960(id))
}
fmt.Println("\nRandom")
for i := 0; i < 5; i++ {
fmt.Println(W.chess960(rand.Intn(960)))
}
}

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import Data.List
import qualified Data.Set as Set
data Piece = K | Q | R | B | N deriving (Eq, Ord, Show)
isChess960 :: [Piece] -> Bool
isChess960 rank =
(odd . sum $ findIndices (== B) rank) && king > rookA && king < rookB
where
Just king = findIndex (== K) rank
[rookA, rookB] = findIndices (== R) rank
main :: IO ()
main = mapM_ (putStrLn . concatMap show) . Set.toList . Set.fromList
. filter isChess960 $ permutations [R,N,B,Q,K,B,N,R]

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row0=: u: 9812+2}.5|i.10
king=: u:9812
rook=: u:9814
bish=: u:9815
pos=: I.@e.
bishok=: 1=2+/ .| pos&bish
rookok=: pos&rook -: (<./,>./)@pos&(rook,king)
ok=: bishok*rookok
perm=: A.&i.~ !
valid=: (#~ ok"1) ~.row0{"1~perm 8
gen=: valid {~ ? bind 960

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gen''
♘♗♖♔♗♕♖♘
gen''
♗♘♘♗♖♔♖♕
gen''
♖♗♔♘♘♕♗♖
gen''
♖♔♕♗♗♘♖♘

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import java.util.Arrays;
import java.util.Collections;
import java.util.List;
public class Chess960{
private static List<Character> pieces = Arrays.asList('R','B','N','Q','K','N','B','R');
public static List<Character> generateFirstRank(){
do{
Collections.shuffle(pieces);
}while(!check(pieces.toString().replaceAll("[^\\p{Upper}]", ""))); //List.toString adds some human stuff, remove that
return pieces;
}
private static boolean check(String rank){
if(!rank.matches(".*R.*K.*R.*")) return false; //king between rooks
if(!rank.matches(".*B(..|....|......|)B.*")) return false; //all possible ways bishops can be placed
return true;
}
public static void main(String[] args){
for(int i = 0; i < 10; i++){
System.out.println(generateFirstRank());
}
}
}

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function ch960startPos() {
var rank = new Array(8),
// randomizer (our die)
d = function(num) { return Math.floor(Math.random() * ++num) },
emptySquares = function() {
var arr = [];
for (var i = 0; i < 8; i++) if (rank[i] == undefined) arr.push(i);
return arr;
};
// place one bishop on any black square
rank[d(2) * 2] = "♗";
// place the other bishop on any white square
rank[d(2) * 2 + 1] = "♗";
// place the queen on any empty square
rank[emptySquares()[d(5)]] = "♕";
// place one knight on any empty square
rank[emptySquares()[d(4)]] = "♘";
// place the other knight on any empty square
rank[emptySquares()[d(3)]] = "♘";
// place the rooks and the king on the squares left, king in the middle
for (var x = 1; x <= 3; x++) rank[emptySquares()[0]] = x==2 ? "♔" : "♖";
return rank;
}
// testing (10 times)
for (var x = 1; x <= 10; x++) console.log(ch960startPos().join(" | "));

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### Utilities
# The glyphs in .
def chars: explode[] | [.] | implode;
# input: an array
# $keys : an array of strings
def objectify($keys):
with_entries(.key = $keys[.key]) ;
def lpad($len): tostring | ($len - length) as $l | (" " * $l)[:$l] + .;
def Symbols: ["k", "q", "r", "b", "n"];
def A: ["K", "Q", "R", "B", "N"] | objectify(Symbols);
def W: ["♔", "♕", "♖", "♗", "♘"] | objectify(Symbols);
def B: ["♚", "♛", "♜", "♝", "♞"] | objectify(Symbols);
def krn: [
"nnrkr", "nrnkr", "nrknr", "nrkrn",
"rnnkr", "rnknr", "rnkrn",
"rknnr", "rknrn",
"rkrnn"
];
# $sym specifies the Symbols
# $id specifies the position
def chess960($sym):
. as $id
| { q: (($id/4)|floor),
r: ($id % 4)
}
| .pos[.r*2+1] = $sym.b
| .t = .q
| .q |= ((./4)|floor)
| .r = (.t % 4)
| .pos[.r*2] = $sym.b
| .t = .q
| .q |= ((./6)|floor)
| .r = .t % 6
| .i = 0
| .break = false
| until( .break;
if .pos[.i] == null
then if .r == 0
then .pos[.i] = $sym.q
| .break = true
else .r += -1
end
else .
end
| .i += 1 )
| .i = 0
| reduce (krn[.q]|chars) as $f (.;
# find next insertion point
until(.pos[.i] == null; .i += 1)
| if $f | IN("k", "r", "n")
then .pos[.i] = $sym[$f]
else .
end )
| .pos
| join(" ") ;
def display960($sym):
"\(lpad(3)) \(chess960($sym))";
" ID Start position",
( 0, 518, 959 | display960(A) ),
"\nPseudo-random starting positions:",
(699, 889, 757, 645, 754 | display960(W))

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function generateposition()
# Placeholder knights
rank = ['♘', '♘', '♘', '♘', '♘', '♘', '♘', '♘']
lrank = length(rank)
# Check if a space is available
isfree(x::Int) = rank[x] == '♘'
# Place the King
rank[indking = rand(2:lrank-1)] = '♔'
# Place rooks
rank[indrook = rand(filter(isfree, 1:lrank))] = '♖'
if indrook > indking
rank[rand(filter(isfree, 1:indking-1))] = '♖'
else
rank[rand(filter(isfree, indking+1:lrank))] = '♖'
end
# Place bishops
rank[indbish = rand(filter(isfree, 1:8))] = '♗'
pbish = filter(iseven(indbish) ? isodd : iseven, 1:lrank)
rank[rand(filter(isfree, pbish))] = '♗'
# Place queen
rank[rand(filter(isfree, 1:lrank))] = '♕'
return rank
end
@show generateposition()

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object Chess960 : Iterable<String> {
override fun iterator() = patterns.iterator()
private operator fun invoke(b: String, e: String) {
if (e.length <= 1) {
val s = b + e
if (s.is_valid()) patterns += s
} else {
for (i in 0 until e.length) {
invoke(b + e[i], e.substring(0, i) + e.substring(i + 1))
}
}
}
private fun String.is_valid(): Boolean {
val k = indexOf('K')
return indexOf('R') < k && k < lastIndexOf('R') &&
indexOf('B') % 2 != lastIndexOf('B') % 2
}
private val patterns = sortedSetOf<String>()
init {
invoke("", "KQRRNNBB")
}
}
fun main(args: Array<String>) {
Chess960.forEachIndexed { i, s -> println("$i: $s") }
}

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-- Insert 'str' into 't' at a random position from 'left' to 'right'
function randomInsert (t, str, left, right)
local pos
repeat pos = math.random(left, right) until not t[pos]
t[pos] = str
return pos
end
-- Generate a random Chess960 start position for white major pieces
function chess960 ()
local t, b1, b2 = {}
local kingPos = randomInsert(t, "K", 2, 7)
randomInsert(t, "R", 1, kingPos - 1)
randomInsert(t, "R", kingPos + 1, 8)
b1 = randomInsert(t, "B", 1, 8)
b2 = randomInsert(t, "B", 1, 8)
while (b2 - b1) % 2 == 0 do
t[b2] = false
b2 = randomInsert(t, "B", 1, 8)
end
randomInsert(t, "Q", 1, 8)
randomInsert(t, "N", 1, 8)
randomInsert(t, "N", 1, 8)
return t
end
-- Main procedure
math.randomseed(os.time())
print(table.concat(chess960()))

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Module Chess960 {
function OneFrom960$ {
def q$="♕", h$="♘", t$="♖", b$="♗", k$="♔"
def integer b1, b2, t1, t2, k, q
buffer p as integer *8
return p, 0:=string$(h$, 8)
k=random(1, 6)
t1=random(0,k-1)
t2=random(k+1, 7)
used=list:=k, t1, t2
do : b1=random(0,7): until not exist(used, b1)
append used, b1
n=b1 mod 2
do : b2=random(0,7): until not exist(used, b2) and b2 mod 2 <> n
append used, b2
do : q=random(0,7): until not exist(used, q)
// place pawns to positions
return p, k:=k$, t1:=t$, t2:=t$, b1:=b$, b2:=b$, q:=q$
=Eval$(p)+{
} // append new line to every solution
}
document doc$
For i=0 to 7:doc$+=OneFrom960$(): next
clipboard doc$
report doc$
}
Chess960

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Print[StringJoin[
RandomChoice[
Select[Union[
Permutations[{"\[WhiteKing]", "\[WhiteQueen]", "\[WhiteRook]",
"\[WhiteRook]", "\[WhiteBishop]", "\[WhiteBishop]",
"\[WhiteKnight]", "\[WhiteKnight]"}]],
MatchQ[#, {___, "\[WhiteRook]", ___, "\[WhiteKing]", ___,
"\[WhiteRook]", ___}] &&
OddQ[Subtract @@ Flatten[Position[#, "\[WhiteBishop]"]]] &]]]];

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// placeholder knights
rank = ["♘"] * 8
// function to get a random free space from a to b, inclusive
randFree = function(a, b)
free = []
for i in range(a, b)
if rank[i] == "♘" then free.push i
end for
return free[rnd * free.len]
end function
// place the king
kingIdx = randFree(1, 6)
rank[kingIdx] = "♔"
// place rooks
rank[randFree(0, kingIdx - 1)] = "♖"
rank[randFree(kingIdx + 1, 7)] = "♖"
// place bishops
bishIdx = randFree(0, 7)
rank[bishIdx] = "♗"
while true
i = randFree(0, 7)
if i % 2 != bishIdx % 2 then break
end while
rank[i] = "♗"
// place queen
rank[randFree(0, 7)] = "♕"
print join(rank, " ")

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import random, strutils
type
# Chess pieces on first row.
Pieces {.pure.} = enum
King = "",
Queen = "",
Rook1 = "",
Rook2 = "",
Bishop1 = "",
Bishop2 = "",
Knight1 = "",
Knight2 = ""
# Position counted from 0.
Position = range[0..7]
# Position of pieces.
Positions = array[Pieces, Position]
func pop[T](s: var set[T]): T =
## Remove and return the first element of a set.
for val in s:
result = val
break
s.excl(result)
proc choose[T](s: var set[T]): T =
## Choose randomly a value from a set and remove it from the set.
result = sample(s)
s.excl(result)
proc positions(): Positions =
## Return a randomly chosen list of piece positions for the first row.
var pos = {Position.low..Position.high}
# Set bishops.
result[Bishop1] = sample([0, 2, 4, 6]) # Black squares.
result[Bishop2] = sample([1, 3, 5, 7]) # White squares.
pos = pos - {result[Bishop1], result[Bishop2]}
# Set queen.
result[Queen] = pos.choose()
# Set knights.
result[Knight1] = pos.choose()
result[Knight2] = pos.choose()
# In the remaining three pieces, the king must be between the two rooks.
result[Rook1] = pos.pop()
result[King] = pos.pop()
result[Rook2] = pos.pop()
#———————————————————————————————————————————————————————————————————————————————————————————————————
randomize()
for _ in 1..10:
var row: array[8, string]
let pos = positions()
for piece in Pieces:
row[pos[piece]] = $piece
echo row.join(" ")

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class Chess960 {
function : Main(args : String[]) ~ Nil {
Generate(10);
}
function : Generate(c : Int) ~ Nil {
for(x := 0; x < c; x += 1;) {
StartPos()->PrintLine();
};
}
function : StartPos() ~ String {
p := Char->New[8];
# bishops
b1 : Int; b2 : Int;
while(true) {
b1 := GetPosition(); b2 := GetPosition();
b1c := b1 and 1; b2c := b2 and 1;
c := b1c = 0 & b2c <> 0;
if(c) {
break;
};
};
p[b1] := 0x2657; p[b2] := 0x2657;
# queen, knight, knight
q := false;
for(x := 0; x < 3; x += 1;) {
do {
b1 := GetPosition();
} while( p[b1] <> '\0');
if(<>q) {
p[b1] := 0x2655; q := true;
}
else {
p[b1] := 0x2658;
};
};
# rook king rook
q := false;
for(x := 0; x < 3; x += 1;) {
a := 0;
while(a < 8) {
if(p[a] = '\0') {
break;
};
a += 1;
};
if(<>q) {
p[a] := 0x2656; q := true;
}
else {
p[a] := 0x2654; q := false;
};
};
s := "";
for(x := 0; x < 8; x += 1;) { s->Append(p[x]); };
return s;
}
function : GetPosition() ~ Int {
return (Float->Random() * 1000)->As(Int) % 8;
}
}

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chess960() =
{
my (C = vector(8), i, j, r);
C[random(4) * 2 + 1] = C[random(4) * 2 + 2] = "B";
for (i = 1, 3, while (C[r = random(8) + 1],); C[r] = Vec("NNQ")[i]);
for (i = 1, 8, if (!C[i], C[i] = Vec("RKR")[j++]));
C
}

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sub rnd($) { int(rand(shift)) }
sub empties { grep !$_[0][$_], 0 .. 7 }
sub chess960 {
my @s = (undef) x 8;
@s[2*rnd(4), 1 + 2*rnd(4)] = qw/B B/;
for (qw/Q N N/) {
my @idx = empties \@s;
$s[$idx[rnd(@idx)]] = $_;
}
@s[empties \@s] = qw/R K R/;
@s
}
print "@{[chess960]}\n" for 0 .. 10;

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(phixonline)-->
<span style="color: #008080;">with</span> <span style="color: #008080;">javascript_semantics</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">solutions</span> <span style="color: #0000FF;">=</span> <span style="color: #0000FF;">{}</span>
<span style="color: #000080;font-style:italic;">--integer d = new_dict()</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #7060A8;">factorial</span><span style="color: #0000FF;">(</span><span style="color: #000000;">8</span><span style="color: #0000FF;">)</span> <span style="color: #008080;">do</span>
<span style="color: #004080;">sequence</span> <span style="color: #000000;">s</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">permute</span><span style="color: #0000FF;">(</span><span style="color: #000000;">i</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"RNBQKBNR"</span><span style="color: #0000FF;">)</span>
<span style="color: #000080;font-style:italic;">-- sequence s = permute(rand(factorial(8),"RNBQKBNR")</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">b1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #008000;">'B'</span><span style="color: #0000FF;">,</span><span style="color: #000000;">s</span><span style="color: #0000FF;">),</span>
<span style="color: #000000;">b2</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #008000;">'B'</span><span style="color: #0000FF;">,</span><span style="color: #000000;">s</span><span style="color: #0000FF;">,</span><span style="color: #000000;">b1</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">and_bits</span><span style="color: #0000FF;">(</span><span style="color: #000000;">b2</span><span style="color: #0000FF;">-</span><span style="color: #000000;">b1</span><span style="color: #0000FF;">,</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">1</span> <span style="color: #008080;">then</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">k</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #008000;">'K'</span><span style="color: #0000FF;">,</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">r1</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #008000;">'R'</span><span style="color: #0000FF;">,</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #004080;">integer</span> <span style="color: #000000;">r2</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #008000;">'R'</span><span style="color: #0000FF;">,</span><span style="color: #000000;">s</span><span style="color: #0000FF;">,</span><span style="color: #000000;">r1</span><span style="color: #0000FF;">+</span><span style="color: #000000;">1</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">if</span> <span style="color: #000000;">r1</span><span style="color: #0000FF;"><</span><span style="color: #000000;">k</span> <span style="color: #008080;">and</span> <span style="color: #000000;">k</span><span style="color: #0000FF;"><</span><span style="color: #000000;">r2</span> <span style="color: #008080;">then</span>
<span style="color: #008080;">if</span> <span style="color: #7060A8;">find</span><span style="color: #0000FF;">(</span><span style="color: #000000;">s</span><span style="color: #0000FF;">,</span><span style="color: #000000;">solutions</span><span style="color: #0000FF;">)=</span><span style="color: #000000;">0</span> <span style="color: #008080;">then</span>
<span style="color: #000080;font-style:italic;">-- if getd_index(s,d)=0 then
-- setd(s,0,d)</span>
<span style="color: #000000;">solutions</span> <span style="color: #0000FF;">=</span> <span style="color: #7060A8;">append</span><span style="color: #0000FF;">(</span><span style="color: #000000;">solutions</span><span style="color: #0000FF;">,</span><span style="color: #000000;">s</span><span style="color: #0000FF;">)</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">if</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<span style="color: #7060A8;">printf</span><span style="color: #0000FF;">(</span><span style="color: #000000;">1</span><span style="color: #0000FF;">,</span><span style="color: #008000;">"Found %d solutions\n"</span><span style="color: #0000FF;">,{</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">solutions</span><span style="color: #0000FF;">)})</span>
<span style="color: #008080;">for</span> <span style="color: #000000;">i</span><span style="color: #0000FF;">=</span><span style="color: #000000;">1</span> <span style="color: #008080;">to</span> <span style="color: #000000;">5</span> <span style="color: #008080;">do</span>
<span style="color: #0000FF;">?</span><span style="color: #000000;">solutions</span><span style="color: #0000FF;">[</span><span style="color: #7060A8;">rand</span><span style="color: #0000FF;">(</span><span style="color: #7060A8;">length</span><span style="color: #0000FF;">(</span><span style="color: #000000;">solutions</span><span style="color: #0000FF;">))]</span>
<span style="color: #008080;">end</span> <span style="color: #008080;">for</span>
<!--

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@ -0,0 +1,16 @@
(load "@lib/simul.l")
(seed (in "/dev/urandom" (rd 8)))
(loop
(match
'(@A B @B B @C)
(shuffle '(Q B B N N 0 0 0)) )
(NIL (bit? 1 (length @B))) )
(let Rkr '(R K R)
(for I (append @A '(B) @B '(B) @C)
(prin (if (=0 I) (pop 'Rkr) I)) )
(prinl) )
(bye)

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@ -0,0 +1,29 @@
function Get-RandomChess960Start
{
$Starts = @()
ForEach ( $Q in 0..3 ) {
ForEach ( $N1 in 0..4 ) {
ForEach ( $N2 in ($N1+1)..5 ) {
ForEach ( $B1 in 0..3 ) {
ForEach ( $B2 in 0..3 ) {
$BB = $B1 * 2 + ( $B1 -lt $B2 )
$BW = $B2 * 2
$Start = [System.Collections.ArrayList]( '♖', '♔', '♖' )
$Start.Insert( $Q , '♕' )
$Start.Insert( $N1, '♘' )
$Start.Insert( $N2, '♘' )
$Start.Insert( $BB, '♗' )
$Start.Insert( $BW, '♗' )
$Starts += ,$Start
}}}}}
$Index = Get-Random 960
$StartString = $Starts[$Index] -join ''
return $StartString
}
Get-RandomChess960Start
Get-RandomChess960Start
Get-RandomChess960Start
Get-RandomChess960Start

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@ -0,0 +1,11 @@
>>> from itertools import permutations
>>> pieces = 'KQRrBbNN'
>>> starts = {''.join(p).upper() for p in permutations(pieces)
if p.index('B') % 2 != p.index('b') % 2 # Bishop constraint
and ( p.index('r') < p.index('K') < p.index('R') # King constraint
or p.index('R') < p.index('K') < p.index('r') ) }
>>> len(starts)
960
>>> starts.pop()
'QNBRNKRB'
>>>

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>>> import re
>>> pieces = 'KQRRBBNN'
>>> bish = re.compile(r'B(|..|....|......)B').search
>>> king = re.compile(r'R.*K.*R').search
>>> starts3 = {p for p in (''.join(q) for q in permutations(pieces))
if bish(p) and king(p)}
>>> len(starts3)
960
>>> starts3.pop()
'QRNKBNRB'
>>>

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@ -0,0 +1,15 @@
from random import choice
def random960():
start = ['R', 'K', 'R'] # Subsequent order unchanged by insertions.
#
for piece in ['Q', 'N', 'N']:
start.insert(choice(range(len(start)+1)), piece)
#
bishpos = choice(range(len(start)+1))
start.insert(bishpos, 'B')
start.insert(choice(range(bishpos + 1, len(start) + 1, 2)), 'B')
return start
return ''.join(start).upper()
print(random960())

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@ -0,0 +1,31 @@
from random import choice
def generate960():
start = ('R', 'K', 'R') # Subsequent order unchanged by insertions.
# Insert QNN in all combinations of places
starts = {start}
for piece in ['Q', 'N', 'N']:
starts2 = set()
for s in starts:
for pos in range(len(s)+1):
s2 = list(s)
s2.insert(pos, piece)
starts2.add(tuple(s2))
starts = starts2
# For each of the previous starting positions insert the bishops in their 16 positions
starts2 = set()
for s in starts:
for bishpos in range(len(s)+1):
s2 = list(s)
s2.insert(bishpos, 'B')
for bishpos2 in range(bishpos+1, len(s)+2, 2):
s3 = s2[::]
s3.insert(bishpos2, 'B')
starts2.add(tuple(s3))
return list(starts2)
gen = generate960()
print(''.join(choice(gen)))

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@ -0,0 +1,18 @@
RANDOMIZE TIMER
FOR i = 1 TO 10
inicio$ = "RKR"
pieza$ = "QNN"
'Dim posic
FOR n = 1 TO LEN(pieza$)
posic = INT(RND * (LEN(inicio$) + 1)) + 1
inicio$ = LEFT$(inicio$, posic - 1) + MID$(pieza$, n, 1) + RIGHT$(inicio$, LEN(inicio$) - posic + 1)
NEXT n
posic = INT(RND * (LEN(inicio$) + 1)) + 1
inicio$ = LEFT$(inicio$, posic - 1) + "B" + RIGHT$(inicio$, LEN(inicio$) - posic + 1)
posic = posic + 1 + 2 * INT(INT(RND * (LEN(inicio$) - posic)) / 2)
inicio$ = LEFT$(inicio$, posic - 1) + "B" + RIGHT$(inicio$, LEN(inicio$) - posic + 1)
PRINT inicio$
NEXT i
END

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@ -0,0 +1,25 @@
pieces <- c("R","B","N","Q","K","N","B","R")
generateFirstRank <- function() {
attempt <- paste0(sample(pieces), collapse = "")
while (!check_position(attempt)) {
attempt <- paste0(sample(pieces), collapse = "")
}
return(attempt)
}
check_position <- function(position) {
if (regexpr('.*R.*K.*R.*', position) == -1) return(FALSE)
if (regexpr('.*B(..|....|......|)B.*', position) == -1) return(FALSE)
TRUE
}
convert_to_unicode <- function(s) {
s <- sub("K","\u2654", s)
s <- sub("Q","\u2655", s)
s <- gsub("R","\u2656", s)
s <- gsub("B","\u2657", s)
s <- gsub("N","\u2658", s)
}
cat(convert_to_unicode(generateFirstRank()), "\n")

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@ -0,0 +1,26 @@
/*REXX program generates a random starting position for the Chess960 game. */
parse arg seed . /*allow for (RANDOM BIF) repeatability.*/
if seed\=='' then call random ,,seed /*if SEED was specified, use the seed.*/
@.=. /*define the first rank as being empty.*/
r1=random(1,6) /*generate the first rook: rank 1. */
@.r1='R' /*place the first rook on rank1. */
do until r2\==r1 & r2\==r1-1 & r2\==r1+1
r2=random(1,8) /*find placement for the 2nd rook. */
end /*forever*/
@.r2='r' /*place the second rook on rank 1. */
k=random(min(r1, r2)+1, max(r1, r2)-1) /*find a random position for the king. */
@.k='K' /*place king between the two rooks. */
do _=0 ; b1=random(1,8); if @.b1\==. then iterate; c=b1//2
do forever; b2=random(1,8) /* c=color of bishop ►──┘ */
if @.b2\==. | b2==b1 | b2//2==c then iterate /*is a bad position?*/
leave _ /*found position for the 2 clergy*/
end /*forever*/ /* [↑] find a place for the 1st bishop*/
end /* _ */ /* [↑] " " " " " 2nd " */
@.b1='B' /*place the 1st bishop on rank 1. */
@.b2='b' /* " " 2nd " " " " */
/*place the two knights on rank 1. */
do until @._='N'; _=random(1,8); if @._\==. then iterate; @._='N'; end
do until @.!='n'; !=random(1,8); if @.!\==. then iterate; @.!='n'; end
_= /*only the queen is left to be placed. */
do i=1 for 8; _=_ || @.i; end /*construct the output: first rank only*/
say translate(translate(_, 'q', .)) /*stick a fork in it, we're all done. */

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/*REXX program generates all random starting positions for the Chess960 game. */
parse arg seed . /*allow for (RANDOM BIF) repeatability.*/
if seed\=='' then call random ,,seed /*if SEED was specified, use the seed.*/
x.=0; #=0; rg='random generations: ' /*initialize game placeholder; # games.*/
/*▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒*/
do t=1 /* [↓] display every 1,000 generations*/ /**/
if t//1000==0 then say right(t,9) rg # " unique starting positions." /**/
@.=. /*define the first rank as being empty.*/ /**/
r1=random(1,6) /*generate the first rook: rank 1. */ /**/
@.r1='R' /*place the first rook on rank1. */ /**/
do until r2\==r1 & r2\==r1-1 & r2\==r1+1 /**/
r2=random(1,8) /*find placement for the 2nd rook. */ /**/
end /*forever*/ /**/
@.r2='r' /*place the second rook on rank 1. */ /**/
k=random(min(r1, r2)+1, max(r1, r2)-1) /*find a random position for the king. */ /**/
@.k='K' /*place king between the two rooks. */ /**/
do _=0 ; b1=random(1,8); if @.b1\==. then iterate; c=b1//2 /**/
do forever; b2=random(1,8) /* c=color of bishop ►──┘ */ /**/
if @.b2\==. | b2==b1 | b2//2==c then iterate /*is a bad position?*/ /**/
leave _ /*found position for the 2 clergy*/ /**/
end /*forever*/ /* [↑] find a place for the 1st bishop*/ /**/
end /* _ */ /* [↑] " " " " " 2nd " */ /**/
@.b1='B' /*place the 1st bishop on rank 1. */ /**/
@.b2='b' /* " " 2nd " " " " */ /**/
/*place the two knights on rank 1. */ /**/
do until @._='N'; _=random(1,8); if @._\==. then iterate; @._='N'; end /**/
do until @.!='n'; !=random(1,8); if @.!\==. then iterate; @.!='n'; end /**/
_= /*only the queen is left to be placed. */ /**/
do i=1 for 8; _=_ || @.i; end /*construct the output: first rank only*/ /**/
upper _ /*uppercase all the chess pieces. */ /**/
if x._ then iterate /*This position found before? Skip it.*/ /**/
x._=1 /*define this position as being found. */ /**/
#=#+1 /*bump the # of unique positions found,*/ /**/
if #==960 then leave /**/
end /*t ▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒▒*/
say # 'unique starting positions found after ' t "generations."
/*stick a fork in it, we're all done. */ /**/

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@ -0,0 +1,61 @@
/*---------------------------------------------------------------
* Compute the 960 possible solutions
* There must be at least one field between the rooks
* The king is positioned on any field between the rooks
* The queen is placed on any unoccupied field
* bishops are placed so that they are on different colored fields
* what remains are the kNights...
*--------------------------------------------------------------*/
cnt.=0
Call time 'R'
Do r1=1 To 6
Do r2=r1+1 To 8
Do kk=r1+1 To r2-1
poss=space(translate('12345678',' ',r1||kk||r2),0)
Call rest
End
End
End
say cnt.1 'solutions'
Say time('E')
Exit
rest:
Do i=1 To 5
q=substr(poss,i,1)
br=space(translate(poss,' ',q),0)
Do b1i=1 To 3
Do b2i=b1i+1 To 4
Call finish
End
End
End
Return
finish:
b1=substr(br,b1i,1)
b2=substr(br,b2i,1)
If (b1+b2)//2>0 Then
Call out
Return
out:
pos.='N'
pos.r1='R'
pos.r2='R'
pos.kk='K'
pos.q='Q'
pos.b1='B'
pos.b2='B'
ol=''
Do k=1 To 8
ol=ol||pos.k
End
cnt.1=cnt.1+1
If cnt.1<4 |,
cnt.1>957 Then
Say format(cnt.1,3) poss r1 kk r2 ol
If cnt.1=4 Then
Say ' ...'
Return

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@ -0,0 +1,32 @@
#lang racket
(define white (match-lambda ['P #\♙] ['R #\♖] ['B #\♗] ['N #\♘] ['Q #\♕] ['K #\♔]))
(define black (match-lambda ['P #\♟] ['R #\♜] ['B #\♝] ['N #\♞] ['Q #\♛] ['K #\♚]))
(define (piece->unicode piece colour)
(match colour ('w white) ('b black)) piece)
(define (find/set!-random-slot vec val k (f values))
(define r (f (random k)))
(cond
[(vector-ref vec r)
(find/set!-random-slot vec val k f)]
[else
(vector-set! vec r val)
r]))
(define (chess960-start-position)
(define v (make-vector 8 #f))
;; Kings and Rooks
(let ((k (find/set!-random-slot v (white 'K) 6 add1)))
(find/set!-random-slot v (white 'R) k)
(find/set!-random-slot v (white 'R) (- 7 k) (curry + k 1)))
;; Bishops -- so far only three squares allocated, so there is at least one of each colour left
(find/set!-random-slot v (white 'B) 4 (curry * 2))
(find/set!-random-slot v (white 'B) 4 (compose add1 (curry * 2)))
;; Everyone else
(find/set!-random-slot v (white 'Q) 8)
(find/set!-random-slot v (white 'N) 8)
(find/set!-random-slot v (white 'N) 8)
(list->string (vector->list v)))
(chess960-start-position)

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@ -0,0 +1,3 @@
repeat until m/ '' [..]* '' / { $_ = < ♖ ♖ ♖ ♕ ♗ ♗ ♘ ♘ >.pick(*).join }
s:2nd[''] = '';
say .comb;

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@ -0,0 +1,7 @@
sub chess960 {
.subst(:nth(2), /''/, '') given
first rx/ '' [..]* '' /,
< ♛ ♜ ♜ ♜ ♝ ♝ ♞ ♞ >.pick(*).join xx *;
}
say chess960;

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@ -0,0 +1,4 @@
constant chess960 =
< ♛ ♜ ♜ ♜ ♝ ♝ ♞ ♞ >.permutations».join.unique.grep( / '' [..]* '' / )».subst(:nth(2), /''/, '');
.say for chess960;

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@ -0,0 +1,20 @@
constant chess960 = gather for 0..3 -> $q {
(my @q = <♜ ♚ ♜>).splice($q, 0, '');
for 0 .. @q -> $n1 {
(my @n1 = @q).splice($n1, 0, '');
for $n1 ^.. @n1 -> $n2 {
(my @n2 = @n1).splice($n2, 0, '');
for 0 .. @n2 -> $b1 {
(my @b1 = @n2).splice($b1, 0, '');
for $b1+1, $b1+3 ...^ * > @b1 -> $b2 {
(my @b2 = @b1).splice($b2, 0, '');
take @b2.join;
}
}
}
}
}
CHECK { note "done compiling" }
note +chess960;
say chess960.pick;

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@ -0,0 +1,57 @@
subset Pos960 of Int where { $_ ~~ ^960 };
sub chess960(Pos960 $position = (^960).pick) {
# We remember the remainder used to place first bishop in order to place the
# second
my $b1;
# And likewise remember the chosen combination for knights between those
# placements
my @n;
# Piece symbols and positioning rules in order. Start with the position
# number. At each step, divide by the divisor; the quotient becomes the
# dividend for the next step. Feed the remainder into the specified code block
# to get a space number N, then place the piece in the Nth empty space left in
# the array.
my @rules = (
#divisor, mapping function, piece
( 4, { $b1 = $_; 2 * $_ + 1 }, '' ),
( 4, { 2 * $_ - ($_ > $b1 ?? 1 !! 0) }, '' ),
( 6, { $_ }, '' ),
(10, { @n = combinations(5,2)[$_]; @n[0] }, '' ),
( 1, { @n[1]-1 }, '' ),
( 1, { 0 }, '' ),
( 1, { 0 }, '' ),
( 1, { 0 }, '' )
);
# Initial array, using '-' to represent empty spaces
my @array = «-» xx 8;
# Working value that starts as the position number but is divided by the
# divisor at each placement step.
my $p = $position;
# Loop over the placement rules
for @rules -> ($divisor, $block, $piece) {
# get remainder when divided by divisor
(my $remainder, $p) = $p.polymod($divisor);
# apply mapping function
my $space = $block($remainder);
# find index of the $space'th element of the array that's still empty
my $index = @array.kv.grep(-> $i,$v { $v eq '-' })[$space][0];
# and place the piece
@array[$index] = $piece;
}
return @array;
}
# demo code
say chess960(518); #standard optning position
say chess960; # (it happened to pick #300)

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@ -0,0 +1,4 @@
pieces = %i( )
regexes = [/♗(..)*♗/, /♖.*♔.*♖/]
row = pieces.shuffle.join until regexes.all?{|re| re.match(row)}
puts row

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@ -0,0 +1,5 @@
row = [:, :, :]
[:, :, :].each{|piece| row.insert(rand(row.size+1), piece)}
[[0, 2, 4, 6].sample, [1, 3, 5, 7].sample].sort.each{|pos| row.insert(pos, :)}
puts row

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@ -0,0 +1,22 @@
KRN = %w(NNRKR NRNKR NRKNR NRKRN RNNKR RNKNR RNKRN RKNNR RKNRN RKRNN)
def chess960(id=rand(960))
pos = Array.new(8)
q, r = id.divmod(4)
pos[r * 2 + 1] = "B"
q, r = q.divmod(4)
pos[r * 2] = "B"
q, r = q.divmod(6)
pos[pos.each_index.reject{|i| pos[i]}[r]] = "Q"
krn = KRN[q].each_char
pos.each_index {|i| pos[i] ||= krn.next}
pos.join
end
puts "Generate Start Position from id number"
[0,518,959].each do |id|
puts "%3d : %s" % [id, chess960(id)]
end
puts "\nGenerate random Start Position"
5.times {puts chess960}

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@ -0,0 +1,35 @@
use std::collections::BTreeSet;
struct Chess960 ( BTreeSet<String> );
impl Chess960 {
fn invoke(&mut self, b: &str, e: &str) {
if e.len() <= 1 {
let s = b.to_string() + e;
if Chess960::is_valid(&s) { self.0.insert(s); }
} else {
for (i, c) in e.char_indices() {
let mut b = b.to_string();
b.push(c);
let mut e = e.to_string();
e.remove(i);
self.invoke(&b, &e);
}
}
}
fn is_valid(s: &str) -> bool {
let k = s.find('K').unwrap();
k > s.find('R').unwrap() && k < s.rfind('R').unwrap() && s.find('B').unwrap() % 2 != s.rfind('B').unwrap() % 2
}
}
// Program entry point.
fn main() {
let mut chess960 = Chess960(BTreeSet::new());
chess960.invoke("", "KQRRNNBB");
for (i, p) in chess960.0.iter().enumerate() {
println!("{}: {}", i, p);
}
}

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@ -0,0 +1,41 @@
// Chess960: regex and unicode version, create 5 valid random positions.
use rand::{seq::SliceRandom, thread_rng};
use regex::Regex;
fn vec_to_string(v: Vec<&str>) -> String {
let mut is_string = String::new();
for ele in v {
is_string.push_str(ele)
}
is_string
}
fn is_rook_king_ok(str_to_check: Vec<&str>) -> bool {
Regex::new(r"(.*♖.*♔.*♖.*)")
.unwrap()
.is_match(vec_to_string(str_to_check.clone()).as_str())
}
fn is_two_bishops_ok(str_to_check: Vec<&str>) -> bool {
Regex::new(r"(.*♗.{0}♗.*|.*♗.{2}♗.*|.*♗.{4}♗.*|.*♗.{6}♗.*)")
.unwrap()
.is_match(vec_to_string(str_to_check.clone()).as_str())
}
fn create_rnd_candidate() -> [&'static str; 8] {
let mut rng = thread_rng();
let mut chaine = ["♖", "♘", "♗", "♔", "♕", "♗", "♘", "♖"];
loop {
chaine.shuffle(&mut rng);
if is_candidate_valide(chaine) {
break chaine;
}
}
}
fn is_candidate_valide(s: [&str; 8]) -> bool {
is_rook_king_ok(s.to_vec()) && is_two_bishops_ok(s.to_vec())
}
fn main() {
for _ in 0..5 {
println!("{:?}", create_rnd_candidate());
}
}

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@ -0,0 +1,25 @@
import scala.annotation.tailrec
object Chess960 extends App {
private val pieces = List('♖', '♗', '♘', '♕', '♔', '♘', '♗', '♖')
@tailrec
private def generateFirstRank(pieces: List[Char]): List[Char] = {
def check(rank: String) =
rank.matches(".*♖.*♔.*♖.*") && rank.matches(".*♗(..|....|......|)♗.*")
val p = scala.util.Random.shuffle(pieces)
if (check(p.toString.replaceAll("[^\\p{Upper}]", "")))
generateFirstRank(pieces)
else p
}
loop(10)
@tailrec
private def loop(n: Int): Unit = {
println(generateFirstRank(pieces))
if (n <= 0) () else loop(n - 1)
}
}

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@ -0,0 +1,21 @@
object Chess960 extends App {
private def apply(b: String, e: String) {
if (e.length <= 1) {
val s = b + e
if (is_valid(s)) patterns += s
} else
for (i <- 0 until e.length)
apply(b + e(i), e.substring(0, i) + e.substring(i + 1))
}
private def is_valid(s: String) = {
val k = s.indexOf('K')
if (k < s.indexOf('R')) false
else k < s.lastIndexOf('R') && s.indexOf('B') % 2 != s.lastIndexOf('B') % 2
}
private val patterns = scala.collection.mutable.SortedSet[String]()
apply("", "KQRRNNBB")
for ((s, i) <- patterns.zipWithIndex) println(s"$i: $s")
}

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(import (scheme base) (scheme write)
(srfi 1) ; list library
(srfi 27)) ; random numbers
(random-source-randomize! default-random-source)
;; Random integer in [start, end)
(define (random-between start end)
(let ((len (- end start 1)))
(if (< len 2)
start
(+ start (random-integer len)))))
;; Random item in list
(define (random-pick lst)
(if (= 1 (length lst))
(car lst)
(list-ref lst (random-integer (length lst)))))
;; Construct a random piece placement for Chess960
(define (random-piece-positions)
(define (free-indices positions) ; return list of empty slot indices
(let loop ((i 0)
(free '()))
(if (= 8 i)
free
(loop (+ 1 i)
(if (string=? "." (vector-ref positions i))
(cons i free)
free)))))
;
(define (place-king+rooks positions)
(let ((king-posn (random-between 1 8)))
(vector-set! positions king-posn "K")
; left-rook is between left-edge and king
(vector-set! positions (random-between 0 king-posn) "R")
; right-rook is between right-edge and king
(vector-set! positions (random-between (+ 1 king-posn) 8) "R")))
;
(define (place-bishops positions)
(let-values (((evens odds) (partition even? (free-indices positions))))
(vector-set! positions (random-pick evens) "B")
(vector-set! positions (random-pick odds) "B")))
;
(let ((positions (make-vector 8 ".")))
(place-king+rooks positions)
(place-bishops positions)
;; place the queen in a random remaining slot
(vector-set! positions (random-pick (free-indices positions)) "Q")
;; place the two knights in the remaining slots
(for-each (lambda (idx) (vector-set! positions idx "N"))
(free-indices positions))
positions))
(display "First rank: ") (display (random-piece-positions)) (newline)

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$ include "seed7_05.s7i";
const proc: main is func
local
var string: start is "RKR";
var char: piece is ' ';
var integer: pos is 0;
begin
for piece range "QNN" do
pos := rand(1, succ(length(start)));
start := start[.. pred(pos)] & str(piece) & start[pos ..];
end for;
pos := rand(1, succ(length(start)));
start := start[.. pred(pos)] & "B" & start[pos ..];
pos := succ(pos) + 2 * rand(0, (length(start) - pos) div 2);
start := start[.. pred(pos)] & "B" & start[pos ..];
writeln(start);
end func;

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func is_valid_960 (backrank) {
var king = backrank.index('♚')
var (rook1, rook2) = backrank.indices_of('♜')...
king.is_between(rook1, rook2) || return false
var (bishop1, bishop2) = backrank.indices_of('♝')...
bishop1+bishop2 -> is_odd
}
func random_960_position(pieces = <♛ ♚ ♜ ♜ ♝ ♝ ♞ ♞>) {
pieces.shuffle.permutations {|*a|
return a if is_valid_960(a)
}
}
say random_960_position().join(' ')

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func isValid960Position(_ firstRank: String) -> Bool {
var rooksPlaced = 0
var bishopColor = -1
for (i, piece) in firstRank.enumerated() {
switch piece {
case "" where rooksPlaced != 1:
return false
case "":
rooksPlaced += 1
case "" where bishopColor == -1:
bishopColor = i & 1
case "" where bishopColor == i & 1:
return false
case _:
continue
}
}
return true
}
struct Chess960Counts {
var king = 0, queen = 0, rook = 0, bishop = 0, knight = 0
subscript(_ piece: String) -> Int {
get {
switch piece {
case "": return king
case "": return queen
case "": return rook
case "": return bishop
case "": return knight
case _: fatalError()
}
}
set {
switch piece {
case "": king = newValue
case "": queen = newValue
case "": rook = newValue
case "": bishop = newValue
case "": knight = newValue
case _: fatalError()
}
}
}
}
func get960Position() -> String {
var counts = Chess960Counts()
var bishopColor = -1 // 0 - white 1 - black
var output = ""
for i in 1...8 {
let validPieces = [
counts[""] == 1 && counts[""] == 0 ? "" : nil, // king
i == 1 || (counts[""] == 0) ? "" : nil, // queen
i == 1 || (counts[""] == 0 || counts[""] < 2 && counts[""] == 1) ? "" : nil, // rook
i == 1 || (counts[""] < 2 && bishopColor == -1 || bishopColor != i & 1) ? "" : nil, // bishop
i == 1 || (counts[""] < 2) ? "" : nil // knight
].lazy.compactMap({ $0 })
guard let chosenPiece = validPieces.randomElement() else {
// Need to swap last piece with a bishop
output.insert("", at: output.index(before: output.endIndex))
break
}
counts[chosenPiece] += 1
output += chosenPiece
if bishopColor == -1 && chosenPiece == "" {
bishopColor = i & 1
}
}
assert(isValid960Position(output), "invalid 960 position \(output)")
return output
}
var positions = Set<String>()
while positions.count != 960 {
positions.insert(get960Position())
}
print(positions.count, positions.randomElement()!)

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package require struct::list
proc chess960 {} {
while true {
set pos [join [struct::list shuffle {N N B B R R Q K}] ""]
if {[regexp {R.*K.*R} $pos] && [regexp {B(..)*B} $pos]} {
return $pos
}
}
}
# A simple renderer
proc chessRender {position} {
string map {P N B R Q K } $position
}
# Output multiple times just to show scope of positions
foreach - {1 2 3 4 5} {puts [chessRender [chess960]]}

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import "random" for Random
import "/dynamic" for Tuple
import "/fmt" for Fmt
var Symbols = Tuple.create("Symbols", ["k", "q", "r", "b", "n"])
var A = Symbols.new("K", "Q", "R", "B", "N")
var W = Symbols.new("♔", "♕", "♖", "♗", "♘")
var B = Symbols.new("♚", "♛", "♜", "♝", "♞")
var krn = [
"nnrkr", "nrnkr", "nrknr", "nrkrn",
"rnnkr", "rnknr", "rnkrn",
"rknnr", "rknrn",
"rkrnn"
]
var NUL = "\0"
var chess960 = Fn.new { |sym, id|
var pos = List.filled(8, NUL)
var q = (id/4).floor
var r = id % 4
pos[r*2+1]= sym.b
var t = q
q = (q/4).floor
r = t % 4
pos[r*2] = sym.b
t = q
q = (q/6).floor
r = t % 6
var i = 0
while (true) {
if (pos[i] == NUL) {
if (r == 0) {
pos[i] = sym.q
break
}
r = r - 1
}
i = i + 1
}
i = 0
for (f in krn[q]) {
while (pos[i] != NUL) i = i + 1
pos[i] = (f == "k") ? sym.k :
(f == "r") ? sym.r :
(f == "n") ? sym.n : pos[i]
}
return pos.join(" ")
}
System.print(" ID Start position")
for (id in [0, 518, 959]) Fmt.print("$3d $s", id, chess960.call(A, id))
System.print("\nRandom")
var rand = Random.new()
for (i in 0..4) System.print(chess960.call(W, rand.int(960)))

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char Col;
func ColNum(Start, Piece); \Return column number of Piece
int Start, Piece, I;
[for I:= Start to 7 do
if Col(I) = Piece then return I;
return -1;
];
proc Shuffle; \Randomly rearrange pieces in columns
int I, J, T;
[for I:= 8-1 downto 1 do
[J:= Ran(I); \range [0..I-1] (Sattolo cycle)
T:= Col(I); Col(I):= Col(J); Col(J):= T;
];
];
int N, B1, B2, BOK, R1, R2, K, KOK;
[for N:= 1 to 5 do
[Col:= "RNBQKBNR ";
repeat Shuffle;
B1:= ColNum(0, ^B);
B2:= ColNum(B1+1, ^B);
BOK:= ((B1 xor B2) and 1) # 0;
R1:= ColNum(0, ^R);
R2:= ColNum(R1+1, ^R);
K:= ColNum(0, ^K);
KOK:= R1<K and K<R2;
until BOK and KOK;
Text(0, Col); CrLf(0);
];
]

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start$ = "RKR"
piece$ = "QNN"
for piece = 1 to len(piece$)
pos = int(ran(len(start$) + 1)) + 1
start$ = left$(start$, pos-1) + mid$(piece$, piece, 1) + right$(start$, len(start$) - pos + 1)
next
pos = int(ran(len(start$) + 1)) + 1
start$ = left$(start$, pos-1) + "B" + right$(start$, len(start$) - pos + 1)
pos = pos + 1 + 2 * int(int(ran(len(start$) - pos)) / 2)
start$ = left$(start$, pos-1) + "B" + right$(start$, len(start$) - pos + 1)
print start$

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const pieces="KQRrBbNN";
starts:=pieces:Utils.Helpers.permuteW(_).filter(fcn(p){
I:=p.index;
I("B") % 2 != I("b") % 2 and // Bishop constraint.
// King constraint.
((I("r") < I("K") and I("K") < I("R")) or
(I("R") < I("K") and I("K") < I("r")))
}).pump(List,"concat","toUpper"):Utils.Helpers.listUnique(_);

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N:=starts.len(); println(N);
glyphs:=Dictionary("K","\u2654", "Q","\u2655", "R","\u2656", "B","\u2657", "N","\u2658");
// pick some random starts and transform BBNRKQRN to glyphs
do(10){ starts[(0).random(N)].apply(glyphs.find).println() }