From b5e16a40417872bc34aaa8eb986cc6630344f18f Mon Sep 17 00:00:00 2001 From: Karl Berry Date: Thu, 6 Feb 2014 23:31:04 +0000 Subject: xepersian (4feb14) git-svn-id: svn://tug.org/texlive/trunk@32897 c570f23f-e606-0410-a88d-b1316a301751 --- Master/texmf-dist/doc/latex/rubik/rubikrotation.pl | 1033 ++++++++++++++++++++ 1 file changed, 1033 insertions(+) create mode 100644 Master/texmf-dist/doc/latex/rubik/rubikrotation.pl (limited to 'Master/texmf-dist/doc/latex/rubik') diff --git a/Master/texmf-dist/doc/latex/rubik/rubikrotation.pl b/Master/texmf-dist/doc/latex/rubik/rubikrotation.pl new file mode 100644 index 00000000000..c09baffa5cc --- /dev/null +++ b/Master/texmf-dist/doc/latex/rubik/rubikrotation.pl @@ -0,0 +1,1033 @@ +#!/usr/bin/perl -W +## rubikrotation.pl (version2.0) +##============================= +# Copyright 20 January 2014 RWD Nickalls and A Syropoulos +# +# This file is part of the LaTeX rubikrotation package, and +# requires rubikcube.sty and rubikrotation.sty +# +# rubikrotation.pl is a Perl-5 program and free software: +# you can redistribute it and/or modify +# it under the terms of the GNU General Public License as published by +# the Free Software Foundation, either version 3 of the License, or +# any later version. +# +# rubikrotation.pl is distributed in the hope that it will be useful, +# but WITHOUT ANY WARRANTY; without even the implied warranty of +# MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the +# GNU General Public License for more details. +##============================= + +##--------------------------------------------------------------------- +## OVERVIEW +## This program is part of the rubikrotation package, and is complementary to +## the LaTeX rubikcube package. It processes Rubik rotation sequences on-the-fly. +## The program reads a datafile (rubikstate.dat) output by the rubikcube package +## and writes the new state to the file rubikstateNEW.dat, which is then input +## by the TeX file. Further documentation accompanies the rubikrotation package. + +## Note that all posible state changing rotations of a 3x3x3 cube are +## either conbinations of, or the inverse of, just 9 different rotations, +## three associated with each XYZ axis. +##-------------------------------------------------- + +##=============main=================================================== + +## This main module opens three files, and +## sets up an array for collecting all errors (%error), and sets an error flag to "", +## reads in the rubik state data file =rubikstate.dat (output by TeXfile), +## and calls subs to write the TeX_OUT_FILE, +## and finally closes all files. +## Each line of the input file consists of a comma separated list of arguments. +## The first argument in each line of the file rubikstate.dat is the rubikkeyword. +## Program is documented in the rubikrotation.pdf (see section ``Overview'') + +### start by opening the three working files (last one ``for append'') + + open (IN_FILE, "rubikstateNEW.dat")||die "ERROR: can't open file rubikstateNEW.dat\n"; + open (ERROR_OUT_FILE, ">>rubikstateERRORS.dat")||die "ERROR: can't open file rubikstateERRORS,dat\n"; + + ## use dots for Perl messages (I have used dashes for LaTeX messages in the .sty) + ## gprint sub prints its argument (message) to both the screen and to the TeX_OUT_FILE + + gprint ("...PERL process..................................."); + +## setup global error parameters, so we can write all the errors to a file as an array +%error = (); # setup an array for error messages (was %) +$erroralert = ""; # error flag +$errornumber = 0; #set number of errors to zero + + gprint ("...reading the current rubik state (rubikstate.dat)"); + + LINE: while (){ + next LINE if /^#/; #skip comments + next LINE if /^%/; #skip comments + next LINE if /^$/; #skip blank lines + $dataline = $_; # grab the whole line as a string + chomp $dataline; # remove the line-ending characters + #$n++; # count the number of lines + @data=split (/,/, $dataline); # create an array called data + ## we have 10 fields (0--9) + ## check for rubikkeyword= up,down,left,right,front,back,rotation, checkstate: + gprint ("...$dataline"); + $rubikkeyword=$data[0]; + + if ($rubikkeyword eq 'up') { + $Ult[0]=$data[1], $Umt[0]=$data[2],$Urt[0]=$data[3], + $Ulm[0]=$data[4], $Umm[0]=$data[5],$Urm[0]=$data[6], + $Ulb[0]=$data[7], $Umb[0]=$data[8],$Urb[0]=$data[9] + } + + if ($rubikkeyword eq 'down') { + $Dlt[0]=$data[1], $Dmt[0]=$data[2],$Drt[0]=$data[3], + $Dlm[0]=$data[4], $Dmm[0]=$data[5],$Drm[0]=$data[6], + $Dlb[0]=$data[7], $Dmb[0]=$data[8],$Drb[0]=$data[9] + } + if ($rubikkeyword eq 'left') { + $Llt[0]=$data[1], $Lmt[0]=$data[2],$Lrt[0]=$data[3], + $Llm[0]=$data[4], $Lmm[0]=$data[5],$Lrm[0]=$data[6], + $Llb[0]=$data[7], $Lmb[0]=$data[8],$Lrb[0]=$data[9] + } + if ($rubikkeyword eq 'right') { + $Rlt[0]=$data[1], $Rmt[0]=$data[2],$Rrt[0]=$data[3], + $Rlm[0]=$data[4], $Rmm[0]=$data[5],$Rrm[0]=$data[6], + $Rlb[0]=$data[7], $Rmb[0]=$data[8],$Rrb[0]=$data[9] + } + + if ($rubikkeyword eq 'front') { + $Flt[0]=$data[1], $Fmt[0]=$data[2],$Frt[0]=$data[3], + $Flm[0]=$data[4], $Fmm[0]=$data[5],$Frm[0]=$data[6], + $Flb[0]=$data[7], $Fmb[0]=$data[8],$Frb[0]=$data[9] + } + if ($rubikkeyword eq 'back') { + $Blt[0]=$data[1], $Bmt[0]=$data[2],$Brt[0]=$data[3], + $Blm[0]=$data[4], $Bmm[0]=$data[5],$Brm[0]=$data[6], + $Blb[0]=$data[7], $Bmb[0]=$data[8],$Brb[0]=$data[9] + } + +## if the rubikkeyword is `checkstate' we just check the +## state and write the output data to a file. + if ($rubikkeyword eq 'checkstate') { + gprint ("..."); + $rotationcommand=$dataline; ## used in output message + gprint ("...command=$rotationcommand"); + checkstate(); + }; + +## if the rubikkeyword is `rotation' we first check to see if the second argument=random. +## if so, then we check that the third argument is an integer, if so --> random sub +## else --> exit line and get next line. +## finally we write the output data to a file. + + if ($rubikkeyword eq 'rotation') + { + gprint ("..."); + $rotationcommand=$dataline; ## used in output message + gprint ("...command=$rotationcommand"); + + + ## if second argument = random, + ## then we also need to check if third argument is an integer; + ## if so -->random sub. + ## if the 3rd argument is NOT an integer then reject line & get next input line + if ($data[1] eq 'random') + { + if ($data[2] =~/\D/) { + errormessage("[$data[2]] not an integer"); + ## we reject the whole line and look at next line in the file + next + } + else{ + ## data[2] must be an integer (n), so we just do n random rotations + random($data[2]) + }; + } + else { + # the line must be an ordinary rotation sequence line, so send the sequence + # to the rotation sub, BUT, need to first remove the + # rubikkeyword `rotation' from the begining of line (array) + # as we need to send ONLY the sequence string to the rotation sub. + shift (@data); + rotation(@data); + } + } + + }; + + ## we have finished reading in all the lines from the rubikstate.dat file, + ## and doing all the rotations etc, so we now just write the new cube state + ## to the output file = TeX_OUT_FILE (so LaTeX can read it) + writestate(); + close; ##close all files + exit; +##==============end of main========================== + +##=============================subs==================== + +sub errormessage{ +## writes the argument as a standard error message to out file + my $errormess = $_[0]; + $erroralert = "YES"; ## set error alert flag (for use in out message) + $error[$errornumber] = "** ERROR: $errormess"; + $errornumber++; ## increment number +}; + +##====================================== +## prints argument (comments) to screen and also to TeX_OUT_FILE (= rubikstateNEW.dat). +## The typeout commands will find its way into the log file when read by latex +## Important to include trailing % for messages written to the TeX_OUT_FILE +## to stop extra being seen by TeX. +sub gprint{ + my $gmess=$_[0]; + print "$gmess\n"; + print (TeX_OUT_FILE "\\typeout{$gmess}\%\n"); + }; +##======================================== + + +sub checkstate{ +### simple check to see if wrong no of colours being used etc +### uses the cubie colours as used by rubikcube package= ROYGBWX + + gprint ("...checking state of cube"); + + my @cubies=($Ult[0],$Umt[0],$Urt[0], $Ulm[0],$Umm[0],$Urm[0], $Ulb[0],$Umb[0],$Urb[0], + $Dlt[0],$Dmt[0],$Drt[0], $Dlm[0],$Dmm[0],$Drm[0], $Dlb[0],$Dmb[0],$Drb[0], + $Llt[0],$Lmt[0],$Lrt[0], $Llm[0],$Lmm[0],$Lrm[0], $Llb[0],$Lmb[0],$Lrb[0], + $Rlt[0],$Rmt[0],$Rrt[0], $Rlm[0],$Rmm[0],$Rrm[0], $Rlb[0],$Rmb[0],$Rrb[0], + $Flt[0],$Fmt[0],$Frt[0], $Flm[0],$Fmm[0],$Frm[0], $Flb[0],$Fmb[0],$Frb[0], + $Blt[0],$Bmt[0],$Brt[0], $Blm[0],$Bmm[0],$Brm[0], $Blb[0],$Bmb[0],$Brb[0]); + +my $R=0,my $O=0,my $Y=0,my $G=0,my $B=0,my $W=0,my $X=0; + +foreach $cubiecolour (@cubies) + { + if ($cubiecolour eq R) {$R = $R+1} + elsif ($cubiecolour eq O) {$O = $O+1} + elsif ($cubiecolour eq Y) {$Y = $Y+1} + elsif ($cubiecolour eq G) {$G = $G+1} + elsif ($cubiecolour eq B) {$B = $B+1} + elsif ($cubiecolour eq W) {$W = $W+1} + elsif ($cubiecolour eq X) {$X = $X+1} + else {print " cubiecolour counting ERROR \n";} + }; +my $cubiesum=0; +$cubiesum = $R+$O+$Y+$G+$B+$W+$X; +gprint ("...cubiesum = $cubiesum (Red=$R, Or=$O, Ye=$Y, Gr=$G, Bl=$B, Wh=$W, X=$X)"); + +if ($cubiesum != 54) { errormessage("cubiesum not = 54")}; +if ($R >9){ errormessage("No of Red cubies > 9 (=$R)")}; +if ($O >9){ errormessage("No of Orange cubies > 9 (=$O)")}; +if ($Y >9){ errormessage("No of Yellow cubies > 9 (=$Y)")}; +if ($G >9){ errormessage("No of Green cubies > 9 (=$G)")}; +if ($B >9){ errormessage("No of Blue cubies > 9 (=$B)")}; +if ($W >9){ errormessage("No of White cubies > 9 (=$W)")}; +}; + +##==================================================== + +# no of arguments passed to the sub = $#_ (black book p 156) + + sub rotation { +## here we process an array (from main) consisting of all +## the rotation commands associated with +## a single RubikRotation command. + + my $m; #multiple associated with the char, eg D2 etc + my $n = ($#_ +1); ##total no of arguments passed + my $originalchar=""; + my $j; + my $numberofchars; ## length of a string + + gprint ("...arguments passed to `rotation' sub = @_ (n= $n)"); + foreach $char (@_) { + $char =~s/^\s+//, $char=~s/\s+$//; ## clean leading and trailing white space + ## grab a copy of the original char for use if m Mod4=0 + $originalchar=$char; + + ## if argument has a leading * then it is a label (not a rotation) so jump to next one + if (substr ($char,0,1) eq "*"){ + gprint ("...$char is a label OK"); + next; + }; + + ## Need to detect any trailing integer associated with a command (eg rotation multiple, eg:U3, L2 etc) + ## NOTES: since we are using mod4, we are only interested in trailing digit + ## if trailing character is a digit, then + ## split char string into front chars (= $char) + trailing digit (= $m) + $m = 1; # initialise m + + ## if terminal char is a digit (d) then d --> m and let frontstring --> char + ## (Black book p 130 & 136) + ## if the frontstring contains any digits then it will be rejected in the filter below anyway. + + if ( substr ($char,-1) =~ /(\d)/) + { + $m = $1; ## grab the trailing digit (only traps a single digit) + $numberofchars = 0; #initialise it + $numberofchars = length $originalchar; + $nfrontchars = $numberofchars-1; + ## reassign the string except the terminal digit + $char = substr($char,0,$nfrontchars); + ## use MOD 4 since we are dealing with Rubik rotations + $m = $m % 4; + ## (if MOD 4 = 0 then nothing will happen as j starts at 1) + ## but should generate an errormessage + if ( $m == 0 ){ + gprint ("...rotation $originalchar equiv 0 MOD 4 (NOT IMPLEMENTED)"); + errormessage ("[$originalchar] in RubikRotation (= 0 MOD 4)"); + next; + }; + }; + ## if single trailing digit present, then we implement the rotation command m times. + ## if more than one trailing digit + ## then the error is trapped at the end (as frontstring will not be recognised + ## ie will not be in the following list, and hence will be trapped as an error, eg R3) + ## + if ($char eq "R") {for($j=1;$j<=$m;$j++) { gprint ("...rotation R OK"); &rrR}} + elsif ($char eq "Rp") {for($j=1;$j<=$m;$j++) { gprint ("...rotation Rp OK (= rrR3)"); &rrRp}} + elsif ($char eq "Rw") {for($j=1;$j<=$m;$j++) { gprint ("...rotation Rw OK (= rrR + rrSr)"); &rrRw}} + elsif ($char eq "Rwp") {for($j=1;$j<=$m;$j++) { gprint ("...rotation Rwp OK (= rrRp + rrSrp)"); &rrRwp}} + elsif ($char eq "Rs") {for($j=1;$j<=$m;$j++) { gprint ("...rotation Rs OK (= rrR + rrLp)"); &rrRs}} + elsif ($char eq "Rsp") {for($j=1;$j<=$m;$j++) { gprint ("...rotation Rsp OK (= rrRp + rrL)"); &rrRsp}} + elsif ($char eq "Ra") {for($j=1;$j<=$m;$j++) { gprint ("...rotation Ra OK (= rrR + rrL)"); &rrRa}} + elsif ($char eq "Rap") {for($j=1;$j<=$m;$j++) { gprint ("...rotation Rap OK (= rrRp + rrLp)"); &rrRap}} + #### + elsif ($char eq "L") {for($j=1;$j<=$m;$j++) {gprint ("...rotation L OK (= rrLp3)"); &rrL}} + elsif ($char eq "Lp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Lp OK"); &rrLp}} + elsif ($char eq "Lw") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Lw OK (= rrLp3 + rrSrp)"); &rrLw}} + elsif ($char eq "Lwp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Lwp OK (= rrLp + rrSr)"); &rrLwp}} + elsif ($char eq "Ls") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Ls OK (= rrL + rrRp)"); &rrLs}} + elsif ($char eq "Lsp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Lsp OK (= rrLp + rrR)"); &rrLsp}} + elsif ($char eq "La") {for($j=1;$j<=$m;$j++) {gprint ("...rotation La OK (= rrL + rrR)"); &rrLa}} + elsif ($char eq "Lap") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Lap OK (= rrLp + rrRp)"); &rrLap}} + #### + elsif ($char eq "U") {for($j=1;$j<=$m;$j++) {gprint ("...rotation U OK"); &rrU}} + elsif ($char eq "Up") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Up OK (= rrU3)"); &rrUp}} + elsif ($char eq "Uw") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Uw OK (= rrU + rrSu)"); &rrUw}} + elsif ($char eq "Uwp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Uwp OK (= rrUp + rrSup)"); &rrUwp}} + elsif ($char eq "Us") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Us OK (= rrU + rrDp)"); &rrUs}} + elsif ($char eq "Usp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Usp OK (= rrUp + rrD)"); &rrUsp}} + elsif ($char eq "Ua") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Ua OK (= rrU + rrD)"); &rrUa}} + elsif ($char eq "Uap") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Uap OK (= rrUp + rrDp)"); &rrUap}} + #### + elsif ($char eq "D") {for($j=1;$j<=$m;$j++) {gprint ("...rotation D OK (= rrDp3)"); &rrD}} + elsif ($char eq "Dp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Dp OK "); &rrDp}} + elsif ($char eq "Dw") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Dw OK (= rrDp3 + rrSup)"); &rrDw}} + elsif ($char eq "Dwp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Dwp OK (= rrDp + rrSu)"); &rrDwp}} + elsif ($char eq "Ds") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Ds OK (= rrD + rrUp)"); &rrDs}} + elsif ($char eq "Dsp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Dsp OK (= rrDp + rrU)"); &rrDsp}} + elsif ($char eq "Da") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Da OK (= rrD + rrU)"); &rrDa}} + elsif ($char eq "Dap") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Dap OK (= rrDp + rrUp)"); &rrDap}} + #### + elsif ($char eq "F") {for($j=1;$j<=$m;$j++) {gprint ("...rotation F OK"); &rrF}} + elsif ($char eq "Fp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Fp OK (= rrF3)"); &rrFp}} + elsif ($char eq "Fw") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Fw OK (= rrF + rrSf)"); &rrFw}} + elsif ($char eq "Fwp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Fwp OK (= rrFp + rrSfp)"); &rrFwp}} + elsif ($char eq "Fs") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Fs OK (= rrF + rrBp)"); &rrFs}} + elsif ($char eq "Fsp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Fsp OK (= rrFp + rrB)"); &rrFsp}} + elsif ($char eq "Fa") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Fa OK (= rrF + rrB)"); &rrFa}} + elsif ($char eq "Fap") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Fap OK (= rrFp + rrBp)"); &rrFap}} + #### + elsif ($char eq "B") {for($j=1;$j<=$m;$j++) {gprint ("...rotation B OK (= rrFp3)"); &rrB}} + elsif ($char eq "Bp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Bp OK"); &rrBp}} + elsif ($char eq "Bw") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Bw OK (= rrFp3 + rrSfp)"); &rrBw}} + elsif ($char eq "Bwp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Bwp OK (= rrFp + rrSf)"); &rrBwp}} + elsif ($char eq "Bs") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Bs OK (= rrB + rrFp)"); &rrBs}} + elsif ($char eq "Bsp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Bsp OK (= rrBp + rrF)"); &rrBsp}} + elsif ($char eq "Ba") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Ba OK (= rrB + rrF)"); &rrBa}} + elsif ($char eq "Bap") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Bap OK (= rrBp + rrFp)"); &rrBap}} + #### + elsif ($char eq "Su") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Su OK "); &rrSu}} + elsif ($char eq "Sup") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Sup OK (= rrSu3)"); &rrSup}} + elsif ($char eq "Sd") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Sd OK (= rrSup)"); &rrSd}} + elsif ($char eq "Sdp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Sdp OK (= rrSu)"); &rrSdp}} + elsif ($char eq "Sl") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Sl OK (= rrSrp)"); &rrSl}} + elsif ($char eq "Slp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Slp OK (= rrSr)"); &rrSlp}} + elsif ($char eq "Sr") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Sr OK"); &rrSr}} + elsif ($char eq "Srp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Srp OK (= rrSr3)"); &rrSrp}} + elsif ($char eq "Sf") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Sf OK"); &rrSf}} + elsif ($char eq "Sfp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Sfp OK (= rrSf3)"); &rrSfp}} + elsif ($char eq "Sb") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Sb OK (= rrSfp)"); &rrSb}} + elsif ($char eq "Sbp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Sbp OK (= rrSf)"); &rrSbp}} + ## XYZ stuff + ## need to include lowercase x,y,x, and also u,d,l,r,f,b equivalents + elsif ($char eq "X" or $char eq "x" or $char eq "r") + {for($j=1;$j<=$m;$j++) {gprint ("...rotation $char OK (= rrR + rrSr + rrLp)"); &rrR;&rrSr;&rrLp}} + elsif ($char eq "Xp" or $char eq "xp" or $char eq "l") + {for($j=1;$j<=$m;$j++) {gprint ("...rotation $char OK (= rrRp + rrSrp + rrL)");&rrRp;&rrSrp;&rrL}} + elsif ($char eq "Y" or $char eq "y" or $char eq "u") + {for($j=1;$j<=$m;$j++) {gprint ("...rotation $char OK (= rrU + rrSu + rrDp)"); &rrU;&rrSu;&rrDp}} + elsif ($char eq "Yp" or $char eq "yp" or $char eq "d") + {for($j=1;$j<=$m;$j++) {gprint ("...rotation $char OK (= rrUp + rrSup + rrD)");&rrUp;&rrSup;&rrD}} + elsif ($char eq "Z" or $char eq "z" or $char eq "f") + {for($j=1;$j<=$m;$j++) {gprint ("...rotation $char OK (= rrF + rrSf + rrBp)"); &rrF;&rrSf;&rrBp}} + elsif ($char eq "Zp" or $char eq "zp" or $char eq "b") + {for($j=1;$j<=$m;$j++) {gprint ("...rotation $char OK (= rrFp + rrSfp + rrB)");&rrFp;&rrSfp;&rrB}} + ## extras + elsif ($char eq "M") {for($j=1;$j<=$m;$j++) {gprint ("...rotation M OK (= Sl) "); &rrSl}} + elsif ($char eq "Mp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Mp OK (= Sr) "); &rrSr}} + elsif ($char eq "E") {for($j=1;$j<=$m;$j++) {gprint ("...rotation E OK (= Sd) "); &rrSd}} + elsif ($char eq "Ep") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Ep OK (= Su) "); &rrSu}} + elsif ($char eq "S") {for($j=1;$j<=$m;$j++) {gprint ("...rotation S OK (= Sf) "); &rrSf}} + elsif ($char eq "Sp") {for($j=1;$j<=$m;$j++) {gprint ("...rotation Sp OK (= Sb) "); &rrSb}} + #### + else { + gprint ("...rotation $originalchar NOT KNOWN"); + errormessage("[$originalchar] in RubikRotation"); + }; + } + }; + +## aNOTE we only defined and determined 9 primary rotation transforms, +## rrR, rrSr, rrLp +## rrU, rrSu, rrDp +## rrF, rrSf, rrBp +## and since all the remaining ones are simply combinations of these 9 +## we now define all the other rotation subs in terms of these 9 primary moves. +## do NOT use multiples here: write each rotation separately +## ------------- +## derivative subs from R and Sr and Lp +sub rrRp{&rrR;&rrR;&rrR}; # (=rrR3) +sub rrRw{&rrR; &rrSr}; # (= rrR + rrSr) +sub rrRwp{&rrR;&rrR;&rrR; &rrSr;&rrSr;&rrSr}; # (= rrRp + rrSrp) +sub rrRs{&rrR;&rrLp}; +sub rrRsp{&rrRp;&rrL}; +sub rrRa{&rrR;&rrL}; +sub rrRap{&rrRp;&rrLp}; +#### +sub rrL{&rrLp;&rrLp;&rrLp}; # (= rrLp3) +sub rrLw{&rrLp;&rrLp;&rrLp;&rrSrp}; # (=rrLp3 + rrSrp) +sub rrLwp{&rrLp;&rrSr}; +sub rrLs{&rrL;&rrRp}; +sub rrLsp{&rrLp;&rrR}; +sub rrLa{&rrL;&rrR}; +sub rrLap{&rrLp;&rrRp}; +##------------- +## derivative subs from U +sub rrUp{&rrU;&rrU;&rrU}; # (=rrU3) +sub rrUw{&rrU;&rrSu}; # +sub rrUwp{&rrUp;&rrSup}; +sub rrUs{&rrU;&rrDp}; +sub rrUsp{&rrUp;&rrD}; +sub rrUa{&rrU;&rrD}; +sub rrUap{&rrUp;&rrDp}; +#### +sub rrD{&rrDp;&rrDp;&rrDp}; # (= rrDp3) +sub rrDw{&rrDp;&rrDp;&rrDp;&rrSup}; # (=rrDp3 + rrSup) +sub rrDwp{&rrDp;&rrSu}; +sub rrDs{&rrD;&rrUp}; +sub rrDsp{&rrDp;&rrU}; +sub rrDa{&rrD;&rrU}; +sub rrDap{&rrDp;&rrUp}; +##------------- +## derivative subs from F +sub rrFw{&rrF; &rrSf}; # (= rrF + rrSf) +sub rrFp{ &rrF;&rrF;&rrF}; # (=rrF3) +sub rrFwp{&rrF;&rrF;&rrF; &rrSf;&rrSf;&rrSf}; # (= rrF3 + rrSf3) +sub rrFs{&rrF;&rrBp}; +sub rrFsp{&rrFp;&rrB}; +sub rrFa{&rrF;&rrB}; +sub rrFap{&rrFp;&rrBp}; +#### +sub rrB{&rrBp;&rrBp;&rrBp}; # (= rrBp3) +sub rrBw{&rrBp;&rrBp;&rrBp; &rrSfp}; # (=rrBp3 + rrSfp) +sub rrBwp{&rrBp;&rrSf}; +sub rrBs{&rrB;&rrFp}; +sub rrBsp{&rrBp;&rrF}; +sub rrBa{&rrB;&rrF}; +sub rrBap{&rrBp;&rrFp}; +#### +## bring all the S versions together +sub rrSup{&rrSu;&rrSu;&rrSu}; # (=rrSu3) +sub rrSd{&rrSup}; # (=rrSup) +sub rrSdp{&rrSu}; # (=rrSu) +sub rrSl{&rrSrp}; # (=rrSrp) +sub rrSlp{&rrSr}; # (=rrSr) +sub rrSrp{&rrSr;&rrSr;&rrSr}; # (=rrSr3) +sub rrSfp{&rrSf;&rrSf;&rrSf}; # (=rrSf3) +sub rrSb{&rrSfp}; # (=rrSfp) +sub rrSbp{&rrSf}; # (=rrSf) + + +##========================================================== +# no of arguments passed to the sub = $#_ (black book p 156) +# parameters passed = $_[0] + +sub random{ +## scramble randomly using n rotations +## example command = RubikRotation{random,74} +## if no n given (second argument = ""), then use default n=50 +## if second argument is some string (not integer) then --> ERROR +## +## asign numbers to the minimal set of rotations to be used using a hash array list +## (perl 5 book page 68) +## ? maybe we should only use the 18 rotations mentioned in Rokicki 2013 paper? +## but here I have included all the S ones too. +@rrlist= ("U", "Up", "Su", "Sup", + "D", "Dp", "Sd", "Sdp", + "L", "Lp", "Sl", "Slp", + "R", "Rp", "Sr", "Srp", + "F", "Fp", "Sf", "Sfp", + "B", "Bp", "Sb", "Sbp"); + +my $rrlistnumber=$#rrlist; +print " rrlistnumber = $rrlistnumber\n"; +# these are numbered 0--$rrlistnumber, + +## let default no of random rotations for scrambling = 50 +my $defaultn = 50; +my $maxn = 200; +## grab the integer passed from the random() command in main +$s = $_[0]; +if ($s >= $maxn) {$s = $maxn; + gprint ("...WARNING: maximum n = 200")} + elsif ($s == 0) {$s = $defaultn; + gprint ("...WARNING: integer = 0 or not given: using default value 50")}; + + +my @rr; ## array to hold all the random rotations +print " randomising the available rotations\n"; + + +## set the seed for the randomisation (BlackBook p 235) +srand; + +## now select s numbers at random (with replacement) from range 0--listnumber+1 +## Since we are using int(rand x), and using nos from 0--lastindex number, +## then max rand vaue = (lastindexnumber -1).99999, the integer of which +## = (lastindexnumber -1). Therefore we need to use the range 0--(lastindexnumber+1) +## in order to randomise all posibilities on our list. + +for ($j = 1; $j <=$s; $j=$j+1) + { + $p= int(rand ($rrlistnumber +1)); + print "Rotation = $p, $rrlist[$p] \n"; + ## push rotation code $rrlist[$p] on to END of array @rr + push (@rr, $rrlist[$p]); + }; + + ## we assume the user is starting from a solved cube (ie use the state given by user) + gprint ("...scrambling Rubik cube using $s random rotations"); + ## now send the array off to the rotation sub + rotation(@rr); +} + +##===================subs================================== + + sub writestate{ +## this just writes the final state to the TeX_OUT_FILE (= rubikstateNEW) will be read by latex. + +print (TeX_OUT_FILE "\%\% file=rubikstateNEW.dat (Perl)\n"); +print (TeX_OUT_FILE "\\RubikFaceUp\{$Ult[0]\}\{$Umt[0]\}\{$Urt[0]\}\{$Ulm[0]\}\{$Umm[0]\}\{$Urm[0]\}\{$Ulb[0]\}\{$Umb[0]\}\{$Urb[0]\}\%\n"); +print (TeX_OUT_FILE "\\RubikFaceDown\{$Dlt[0]\}\{$Dmt[0]\}\{$Drt[0]\}\{$Dlm[0]\}\{$Dmm[0]\}\{$Drm[0]\}\{$Dlb[0]\}\{$Dmb[0]\}\{$Drb[0]\}\%\n"); +print (TeX_OUT_FILE "\\RubikFaceLeft\{$Llt[0]\}\{$Lmt[0]\}\{$Lrt[0]\}\{$Llm[0]\}\{$Lmm[0]\}\{$Lrm[0]\}\{$Llb[0]\}\{$Lmb[0]\}\{$Lrb[0]\}\%\n"); +print (TeX_OUT_FILE "\\RubikFaceRight\{$Rlt[0]\}\{$Rmt[0]\}\{$Rrt[0]\}\{$Rlm[0]\}\{$Rmm[0]\}\{$Rrm[0]\}\{$Rlb[0]\}\{$Rmb[0]\}\{$Rrb[0]\}\%\n"); +print (TeX_OUT_FILE "\\RubikFaceFront\{$Flt[0]\}\{$Fmt[0]\}\{$Frt[0]\}\{$Flm[0]\}\{$Fmm[0]\}\{$Frm[0]\}\{$Flb[0]\}\{$Fmb[0]\}\{$Frb[0]\}\%\n"); +print (TeX_OUT_FILE "\\RubikFaceBack\{$Blt[0]\}\{$Bmt[0]\}\{$Brt[0]\}\{$Blm[0]\}\{$Bmm[0]\}\{$Brm[0]\}\{$Blb[0]\}\{$Bmb[0]\}\{$Brb[0]\}\%\n"); +print (TeX_OUT_FILE "\\typeout{...writing new Rubik state to file rubikstateNEW.dat}\%\n"); + +## now include any error messages generated +## (these are all in an array waiting to be printed out) + +if ($erroralert eq "YES") + { + ## open a separate file just for errors (we append the errrors to end of file) + ## this file (rubikstate.cfg) was opened by the TeX file + my $ne; #number of errors + $ne=$#error; ## number of errors= largest index num since we started at zero + ### do not attach error to a command + if ($rotationcommand eq "checkstate") {} + else { + print (TeX_OUT_FILE "\\typeout{** ERROR: command=$rotationcommand}\%\n"); + print (ERROR_OUT_FILE "** ERROR: $rotationcommand\n"); + }; + ## last index number or array = $#arrayname (Black book p 62) + my $k; + for ($k=0; $k<=$ne; $k=$k+1) { + print (TeX_OUT_FILE "\\typeout{$error[$k]}\%\n"); + print (ERROR_OUT_FILE "$error[$k]\n"); + }; + }; +print " Perl output file written OK\n"; +} +##=========================================== + +##================================================ +## The following 9 (90 degree) rotation transformations are used +## to generate all the rotations used in the `rotation sub' +## each of these is a permutation for both colours and numbers +## of the cubie facelets. +## The following 9 subroutines are named as follows: +## (about X-axis) rrR, rrSr, rrLp +## (about Y-axis) rrU, rrSu, rrDp +## (about Z-axis) rrF, rrSf, rrBp +## see the rubikcube package documentation for full details regarding +## rotation notation and commands. +## METHOD & NOTATION +## each sub (below) starts by making an array[0] for the cubie colour +## and an array[1] for the cubie number. +## Each of the face rotations (rrR, rrLp, rrU, rrDp, rrF, rrBp) is involved with +## two pairs of connected but different permutations/transformations as follows: +## (a) one pair for the 12 Side cubies (arrays = @Xs0 (for Side colours), @Xs1 (for Side numbers)), and +## (b) one pair for the 9 Face cubies (arrays = @Xf0 (for Face colours), @Xf1 (for Face numbers)). +## Each of the center slice rotations (rrSr, rrSu, rrSf) is involved with just one pair of +## permutations for the 12 Side cubies (arrays = @Xs0 (for Side colours), @Xs1 (for Side numbers)). +## We document only the side and face of the first sub (rrR) in detail, since the other subs are of similar form. +##================================================ + sub rrR{ + +## the R (slice + face) transform +## R = RIGHT, s = side; 0=colour, 1= number +## make the clockwise rotation permutation +## In this permutation the Front-right-bottom (Frb) (side)facelet rotates to +## the new position of Up-right-bottom (Urb) (side)facelet. +##-----------SIDE------- +## 12 side cubie facelets in arrays @Rs0 (colours) and @Rs1 (numbers) +## these are the initial positions +@Rs0=($Frb[0],$Frm[0],$Frt[0], + $Urb[0],$Urm[0],$Urt[0], + $Blt[0],$Blm[0],$Blb[0], + $Drb[0],$Drm[0],$Drt[0]); + +@Rs1=($Frb[1],$Frm[1],$Frt[1], + $Urb[1],$Urm[1],$Urt[1], + $Blt[1],$Blm[1],$Blb[1], + $Drb[1],$Drm[1],$Drt[1]); + +## now we reallocate the initial array elements to the new +## post (90 degree clockwise) rotation position. +## Cube is viewed from FRONT. +## positions of side facelets of Right slice are numbered 0-11 in clockwise direction, +## (as seen from Right face) starting with Up-right-bottom facelet. +## first line example: +## variable $Urb[0] (Upface-right-bottom colour) <-- colour of first element in @Rs0 (=Frb[0]) +## variable $Urb[1] (Upface-right-bottom number) <-- number of first element in @Rs1 (=Frb[1]) +$Urb[0]=$Rs0[0]; $Urb[1]=$Rs1[0]; +$Urm[0]=$Rs0[1]; $Urm[1]=$Rs1[1]; +$Urt[0]=$Rs0[2]; $Urt[1]=$Rs1[2]; + +$Blt[0]=$Rs0[3]; $Blt[1]=$Rs1[3]; +$Blm[0]=$Rs0[4]; $Blm[1]=$Rs1[4]; +$Blb[0]=$Rs0[5]; $Blb[1]=$Rs1[5]; + +$Drb[0]=$Rs0[6]; $Drb[1]=$Rs1[6]; +$Drm[0]=$Rs0[7]; $Drm[1]=$Rs1[7]; +$Drt[0]=$Rs0[8]; $Drt[1]=$Rs1[8]; + +$Frb[0]=$Rs0[9]; $Frb[1]=$Rs1[9]; +$Frm[0]=$Rs0[10]; $Frm[1]=$Rs1[10]; +$Frt[0]=$Rs0[11]; $Frt[1]=$Rs1[11]; + +##-------------Right FACE--------------------- +## R FACE (9 cubies in each array) +## (numbered in rows: 1,2,3/4,5,6/7,8,9 from top left(1) to bottom right(9)) +## R=Right, f = face; 0=colour, 1= number +## do the Rface (90 degree) rotation transform +## here the Right-left-bottom (Rlb) facelet rotates to the possn of Right-left-top (Rlt) +## we start with two arrays (one for colours @Rf0, one for numbers @Rf1) with 9 elements each. +@Rf0=($Rlb[0], $Rlm[0], $Rlt[0], $Rmb[0], $Rmm[0], $Rmt[0], $Rrb[0], $Rrm[0], $Rrt[0]); +@Rf1=($Rlb[1], $Rlm[1], $Rlt[1], $Rmb[1], $Rmm[1], $Rmt[1], $Rrb[1], $Rrm[1], $Rrt[1]); + +## now we reallocate the array elements to the new +## post (90 degree clockwise) rotation facelet position. +## Right face is viewed from RIGHT. +## First line example: +## variable $Rlt[0] (=Right-left-top colour) <-- colour of first element in @Rf0 (=Rlb[0]) +## variable $Rlt[1] (=Right-left-top number) <-- number of first element in @Rf1 (=Rlb[1]) +$Rlt[0]=$Rf0[0]; $Rlt[1]=$Rf1[0]; +$Rmt[0]=$Rf0[1]; $Rmt[1]=$Rf1[1]; +$Rrt[0]=$Rf0[2]; $Rrt[1]=$Rf1[2]; + +$Rlm[0]=$Rf0[3]; $Rlm[1]=$Rf1[3]; +$Rmm[0]=$Rf0[4]; $Rmm[1]=$Rf1[4]; +$Rrm[0]=$Rf0[5]; $Rrm[1]=$Rf1[5]; + +$Rlb[0]=$Rf0[6]; $Rlb[1]=$Rf1[6]; +$Rmb[0]=$Rf0[7]; $Rmb[1]=$Rf1[7]; +$Rrb[0]=$Rf0[8]; $Rrb[1]=$Rf1[8]; + +} +#============================ + +sub rrSr { +## Sr = Right middle SLICE rotation (only 12 side facelets) +## modified from rrR (change the U,D,F, r --> m and Back Bl-->Bm; Rs--> ?Srs) +## change only the slice +## s = side; 0=colour, 1= number +## make the post rotation permutation + +@SRs0=($Fmb[0],$Fmm[0],$Fmt[0], + $Umb[0],$Umm[0],$Umt[0], + $Bmt[0],$Bmm[0],$Bmb[0], + $Dmb[0],$Dmm[0],$Dmt[0]); + +@SRs1=($Fmb[1],$Fmm[1],$Fmt[1], + $Umb[1],$Umm[1],$Umt[1], + $Bmt[1],$Bmm[1],$Bmb[1], + $Dmb[1],$Dmm[1],$Dmt[1]); + + +$Umb[0]=$SRs0[0]; $Umb[1]=$SRs1[0]; +$Umm[0]=$SRs0[1]; $Umm[1]=$SRs1[1]; +$Umt[0]=$SRs0[2]; $Umt[1]=$SRs1[2]; + +$Bmt[0]=$SRs0[3]; $Bmt[1]=$SRs1[3]; +$Bmm[0]=$SRs0[4]; $Bmm[1]=$SRs1[4]; +$Bmb[0]=$SRs0[5]; $Bmb[1]=$SRs1[5]; + +$Dmb[0]=$SRs0[6]; $Dmb[1]=$SRs1[6]; +$Dmm[0]=$SRs0[7]; $Dmm[1]=$SRs1[7]; +$Dmt[0]=$SRs0[8]; $Dmt[1]=$SRs1[8]; + +$Fmb[0]=$SRs0[9]; $Fmb[1]=$SRs1[9]; +$Fmm[0]=$SRs0[10]; $Fmm[1]=$SRs1[10]; +$Fmt[0]=$SRs0[11]; $Fmt[1]=$SRs1[11]; + +} + +##=================== +sub rrLp{ + +## Left slice (side + face) anticlockwise rotation +## s = side; 0=colour, 1= number +##-------------side----------- +@LPs0=($Flb[0],$Flm[0],$Flt[0], + $Ulb[0],$Ulm[0],$Ult[0], + $Brt[0],$Brm[0],$Brb[0], + $Dlb[0],$Dlm[0],$Dlt[0]); + +@LPs1=($Flb[1],$Flm[1],$Flt[1], + $Ulb[1],$Ulm[1],$Ult[1], + $Brt[1],$Brm[1],$Brb[1], + $Dlb[1],$Dlm[1],$Dlt[1]); + + +$Ulb[0]=$LPs0[0]; $Ulb[1]=$LPs1[0]; +$Ulm[0]=$LPs0[1]; $Ulm[1]=$LPs1[1]; +$Ult[0]=$LPs0[2]; $Ult[1]=$LPs1[2]; + +$Brt[0]=$LPs0[3]; $Brt[1]=$LPs1[3]; +$Brm[0]=$LPs0[4]; $Brm[1]=$LPs1[4]; +$Brb[0]=$LPs0[5]; $Brb[1]=$LPs1[5]; + +$Dlb[0]=$LPs0[6]; $Dlb[1]=$LPs1[6]; +$Dlm[0]=$LPs0[7]; $Dlm[1]=$LPs1[7]; +$Dlt[0]=$LPs0[8]; $Dlt[1]=$LPs1[8]; + +$Flb[0]=$LPs0[9]; $Flb[1]=$LPs1[9]; +$Flm[0]=$LPs0[10]; $Flm[1]=$LPs1[10]; +$Flt[0]=$LPs0[11]; $Flt[1]=$LPs1[11]; + + +##---------------Left FACE------------- +## do the Lface transform (in rows: 1,2,3//4,5,6//7,8,9) +## f = face; 0=colour, 1= number +## NOTES: not same as for R + +@LPf0=($Lrt[0], $Lrm[0], $Lrb[0], $Lmt[0], $Lmm[0], $Lmb[0], $Llt[0], $Llm[0], $Llb[0]); +@LPf1=($Lrt[1], $Lrm[1], $Lrb[1], $Lmt[1], $Lmm[1], $Lmb[1], $Llt[1], $Llm[1], $Llb[1]); + +$Llt[0]=$LPf0[0]; $Llt[1]=$LPf1[0]; +$Lmt[0]=$LPf0[1]; $Lmt[1]=$LPf1[1]; +$Lrt[0]=$LPf0[2]; $Lrt[1]=$LPf1[2]; + +$Llm[0]=$LPf0[3]; $Llm[1]=$LPf1[3]; +$Lmm[0]=$LPf0[4]; $Lmm[1]=$LPf1[4]; +$Lrm[0]=$LPf0[5]; $Lrm[1]=$LPf1[5]; + +$Llb[0]=$LPf0[6]; $Llb[1]=$LPf1[6]; +$Lmb[0]=$LPf0[7]; $Lmb[1]=$LPf1[7]; +$Lrb[0]=$LPf0[8]; $Lrb[1]=$LPf1[8]; + +} + +##================================== + +##============================== + sub rrU{ + +## Up slice (side + face) +## do the Uside transform +## s = side; 0=colour, 1= number +## ----------SIDE-------------- +@Us0=($Lrt[0],$Lmt[0],$Llt[0], + $Brt[0],$Bmt[0],$Blt[0], + $Rrt[0],$Rmt[0],$Rlt[0], + $Frt[0],$Fmt[0],$Flt[0]); + +@Us1=($Lrt[1],$Lmt[1],$Llt[1], + $Brt[1],$Bmt[1],$Blt[1], + $Rrt[1],$Rmt[1],$Rlt[1], + $Frt[1],$Fmt[1],$Flt[1]); + + +$Brt[0]=$Us0[0]; $Brt[1]=$Us1[0]; +$Bmt[0]=$Us0[1]; $Bmt[1]=$Us1[1]; +$Blt[0]=$Us0[2]; $Blt[1]=$Us1[2]; + +$Rrt[0]=$Us0[3]; $Rrt[1]=$Us1[3]; +$Rmt[0]=$Us0[4]; $Rmt[1]=$Us1[4]; +$Rlt[0]=$Us0[5]; $Rlt[1]=$Us1[5]; + +$Frt[0]=$Us0[6]; $Frt[1]=$Us1[6]; +$Fmt[0]=$Us0[7]; $Fmt[1]=$Us1[7]; +$Flt[0]=$Us0[8]; $Flt[1]=$Us1[8]; + +$Lrt[0]=$Us0[9]; $Lrt[1]=$Us1[9]; +$Lmt[0]=$Us0[10]; $Lmt[1]=$Us1[10]; +$Llt[0]=$Us0[11]; $Llt[1]=$Us1[11]; + +##-------------Up FACE------------------- +## do the Rface transform (in rows: 1,2,3//4,5,6//7,8,9) +## f = face; 0=colour, 1= number +@Uf0=($Ulb[0], $Ulm[0], $Ult[0], $Umb[0], $Umm[0], $Umt[0], $Urb[0], $Urm[0], $Urt[0]); +@Uf1=($Ulb[1], $Ulm[1], $Ult[1], $Umb[1], $Umm[1], $Umt[1], $Urb[1], $Urm[1], $Urt[1]); + +$Ult[0]=$Uf0[0]; $Ult[1]=$Uf1[0]; +$Umt[0]=$Uf0[1]; $Umt[1]=$Uf1[1]; +$Urt[0]=$Uf0[2]; $Urt[1]=$Uf1[2]; + +$Ulm[0]=$Uf0[3]; $Ulm[1]=$Uf1[3]; +$Umm[0]=$Uf0[4]; $Umm[1]=$Uf1[4]; +$Urm[0]=$Uf0[5]; $Urm[1]=$Uf1[5]; + +$Ulb[0]=$Uf0[6]; $Ulb[1]=$Uf1[6]; +$Umb[0]=$Uf0[7]; $Umb[1]=$Uf1[7]; +$Urb[0]=$Uf0[8]; $Urb[1]=$Uf1[8]; + +} + +##============================== + + sub rrSu{ +## middle slice rotation (side only 12 facelets) +## s = side; 0=colour, 1= number +## make the post rotation permutation +##-----------SIDE------------------- +@SUs0=($Lrm[0],$Lmm[0],$Llm[0], + $Brm[0],$Bmm[0],$Blm[0], + $Rrm[0],$Rmm[0],$Rlm[0], + $Frm[0],$Fmm[0],$Flm[0]); + +@SUs1=($Lrm[1],$Lmm[1],$Llm[1], + $Brm[1],$Bmm[1],$Blm[1], + $Rrm[1],$Rmm[1],$Rlm[1], + $Frm[1],$Fmm[1],$Flm[1]); + + +$Brm[0]=$SUs0[0]; $Brm[1]=$SUs1[0]; +$Bmm[0]=$SUs0[1]; $Bmm[1]=$SUs1[1]; +$Blm[0]=$SUs0[2]; $Blm[1]=$SUs1[2]; + +$Rrm[0]=$SUs0[3]; $Rrm[1]=$SUs1[3]; +$Rmm[0]=$SUs0[4]; $Rmm[1]=$SUs1[4]; +$Rlm[0]=$SUs0[5]; $Rlm[1]=$SUs1[5]; + +$Frm[0]=$SUs0[6]; $Frm[1]=$SUs1[6]; +$Fmm[0]=$SUs0[7]; $Fmm[1]=$SUs1[7]; +$Flm[0]=$SUs0[8]; $Flm[1]=$SUs1[8]; + +$Lrm[0]=$SUs0[9]; $Lrm[1]=$SUs1[9]; +$Lmm[0]=$SUs0[10]; $Lmm[1]=$SUs1[10]; +$Llm[0]=$SUs0[11]; $Llm[1]=$SUs1[11]; + +} + + +##============================== + + sub rrDp{ + +## Dpwn Face anticlockwise rotation (side and face) +## s = side; 0=colour, 1= number +## make the post rotation permutation +##--------------SIDE---------------- +@DPs0=($Lrb[0],$Lmb[0],$Llb[0], + $Brb[0],$Bmb[0],$Blb[0], + $Rrb[0],$Rmb[0],$Rlb[0], + $Frb[0],$Fmb[0],$Flb[0]); + +@DPs1=($Lrb[1],$Lmb[1],$Llb[1], + $Brb[1],$Bmb[1],$Blb[1], + $Rrb[1],$Rmb[1],$Rlb[1], + $Frb[1],$Fmb[1],$Flb[1]); + +$Brb[0]=$DPs0[0]; $Brb[1]=$DPs1[0]; +$Bmb[0]=$DPs0[1]; $Bmb[1]=$DPs1[1]; +$Blb[0]=$DPs0[2]; $Blb[1]=$DPs1[2]; + +$Rrb[0]=$DPs0[3]; $Rrb[1]=$DPs1[3]; +$Rmb[0]=$DPs0[4]; $Rmb[1]=$DPs1[4]; +$Rlb[0]=$DPs0[5]; $Rlb[1]=$DPs1[5]; + +$Frb[0]=$DPs0[6]; $Frb[1]=$DPs1[6]; +$Fmb[0]=$DPs0[7]; $Fmb[1]=$DPs1[7]; +$Flb[0]=$DPs0[8]; $Flb[1]=$DPs1[8]; + +$Lrb[0]=$DPs0[9]; $Lrb[1]=$DPs1[9]; +$Lmb[0]=$DPs0[10]; $Lmb[1]=$DPs1[10]; +$Llb[0]=$DPs0[11]; $Llb[1]=$DPs1[11]; + +##---------------Down FACE------------------- +## f = face; 0=colour, 1= number + +@DPf0=($Dlt[0], $Dlm[0], $Dlb[0], $Dmt[0], $Dmm[0], $Dmb[0], $Drt[0], $Drm[0], $Drb[0]); +@DPf1=($Dlt[1], $Dlm[1], $Dlb[1], $Dmt[1], $Dmm[1], $Dmb[1], $Drt[1], $Drm[1], $Drb[1]); + +$Dlb[0]=$DPf0[0]; $Dlb[1]=$DPf1[0]; +$Dmb[0]=$DPf0[1]; $Dmb[1]=$DPf1[1]; +$Drb[0]=$DPf0[2]; $Drb[1]=$DPf1[2]; + +$Dlm[0]=$DPf0[3]; $Dlm[1]=$DPf1[3]; +$Dmm[0]=$DPf0[4]; $Dmm[1]=$DPf1[4]; +$Drm[0]=$DPf0[5]; $Drm[1]=$DPf1[5]; + +$Dlt[0]=$DPf0[6]; $Dlt[1]=$DPf1[6]; +$Dmt[0]=$DPf0[7]; $Dmt[1]=$DPf1[7]; +$Drt[0]=$DPf0[8]; $Drt[1]=$DPf1[8]; + +} + +##============================== + + sub rrF{ + +## do the Fside transform (side and face) +## s = side; 0=colour, 1= number +## -----------SIDE----------------- +@Fs0=($Lrb[0],$Lrm[0],$Lrt[0], + $Ulb[0],$Umb[0],$Urb[0], + $Rlt[0],$Rlm[0],$Rlb[0], + $Drt[0],$Dmt[0],$Dlt[0]); + +@Fs1=($Lrb[1],$Lrm[1],$Lrt[1], + $Ulb[1],$Umb[1],$Urb[1], + $Rlt[1],$Rlm[1],$Rlb[1], + $Drt[1],$Dmt[1],$Dlt[1]); + +$Ulb[0]=$Fs0[0]; $Ulb[1]=$Fs1[0]; +$Umb[0]=$Fs0[1]; $Umb[1]=$Fs1[1]; +$Urb[0]=$Fs0[2]; $Urb[1]=$Fs1[2]; + +$Rlt[0]=$Fs0[3]; $Rlt[1]=$Fs1[3]; +$Rlm[0]=$Fs0[4]; $Rlm[1]=$Fs1[4]; +$Rlb[0]=$Fs0[5]; $Rlb[1]=$Fs1[5]; + +$Drt[0]=$Fs0[6]; $Drt[1]=$Fs1[6]; +$Dmt[0]=$Fs0[7]; $Dmt[1]=$Fs1[7]; +$Dlt[0]=$Fs0[8]; $Dlt[1]=$Fs1[8]; + +$Lrb[0]=$Fs0[9]; $Lrb[1]=$Fs1[9]; +$Lrm[0]=$Fs0[10]; $Lrm[1]=$Fs1[10]; +$Lrt[0]=$Fs0[11]; $Lrt[1]=$Fs1[11]; + +## -------Front FACE------------------- +## f = face; 0=colour, 1= number + +@Lf0=($Flb[0], $Flm[0], $Flt[0], $Fmb[0], $Fmm[0], $Fmt[0], $Frb[0], $Frm[0], $Frt[0]); +@Lf1=($Flb[1], $Flm[1], $Flt[1], $Fmb[1], $Fmm[1], $Fmt[1], $Frb[1], $Frm[1], $Frt[1]); + +$Flt[0]=$Lf0[0]; $Flt[1]=$Lf1[0]; +$Fmt[0]=$Lf0[1]; $Fmt[1]=$Lf1[1]; +$Frt[0]=$Lf0[2]; $Frt[1]=$Lf1[2]; + +$Flm[0]=$Lf0[3]; $Flm[1]=$Lf1[3]; +$Fmm[0]=$Lf0[4]; $Fmm[1]=$Lf1[4]; +$Frm[0]=$Lf0[5]; $Frm[1]=$Lf1[5]; + +$Flb[0]=$Lf0[6]; $Flb[1]=$Lf1[6]; +$Fmb[0]=$Lf0[7]; $Fmb[1]=$Lf1[7]; +$Frb[0]=$Lf0[8]; $Frb[1]=$Lf1[8]; + +} + +##============================== + + sub rrSf{ + +## do the Fs transform (side only) +## s = side; 0=colour, 1= number +##----------SIDE--------------- +@SFs0=($Lmb[0],$Lmm[0],$Lmt[0], + $Ulm[0],$Umm[0],$Urm[0], + $Rmt[0],$Rmm[0],$Rmb[0], + $Drm[0],$Dmm[0],$Dlm[0]); + +@SFs1=($Lmb[1],$Lmm[1],$Lmt[1], + $Ulm[1],$Umm[1],$Urm[1], + $Rmt[1],$Rmm[1],$Rmb[1], + $Drm[1],$Dmm[1],$Dlm[1]); + +$Ulm[0]=$SFs0[0]; $Ulm[1]=$SFs1[0]; +$Umm[0]=$SFs0[1]; $Umm[1]=$SFs1[1]; +$Urm[0]=$SFs0[2]; $Urm[1]=$SFs1[2]; + +$Rmt[0]=$SFs0[3]; $Rmt[1]=$SFs1[3]; +$Rmm[0]=$SFs0[4]; $Rmm[1]=$SFs1[4]; +$Rmb[0]=$SFs0[5]; $Rmb[1]=$SFs1[5]; + +$Drm[0]=$SFs0[6]; $Drm[1]=$SFs1[6]; +$Dmm[0]=$SFs0[7]; $Dmm[1]=$SFs1[7]; +$Dlm[0]=$SFs0[8]; $Dlm[1]=$SFs1[8]; + +$Lmb[0]=$SFs0[9]; $Lmb[1]=$SFs1[9]; +$Lmm[0]=$SFs0[10]; $Lmm[1]=$SFs1[10]; +$Lmt[0]=$SFs0[11]; $Lmt[1]=$SFs1[11]; +} + +##============================== + + sub rrBp{ + +## Back rotation anticlockwise (side + face) +## do the Bp side transform +## s = side; 0=colour, 1= number +## --------------Side----------------- +@BPs0=($Llb[0],$Llm[0],$Llt[0], + $Ult[0],$Umt[0],$Urt[0], + $Rrt[0],$Rrm[0],$Rrb[0], + $Drb[0],$Dmb[0],$Dlb[0]); + +@BPs1=($Llb[1],$Llm[1],$Llt[1], + $Ult[1],$Umt[1],$Urt[1], + $Rrt[1],$Rrm[1],$Rrb[1], + $Drb[1],$Dmb[1],$Dlb[1]); + +$Ult[0]=$BPs0[0]; $Ult[1]=$BPs1[0]; +$Umt[0]=$BPs0[1]; $Umt[1]=$BPs1[1]; +$Urt[0]=$BPs0[2]; $Urt[1]=$BPs1[2]; + +$Rrt[0]=$BPs0[3]; $Rrt[1]=$BPs1[3]; +$Rrm[0]=$BPs0[4]; $Rrm[1]=$BPs1[4]; +$Rrb[0]=$BPs0[5]; $Rrb[1]=$BPs1[5]; + +$Drb[0]=$BPs0[6]; $Drb[1]=$BPs1[6]; +$Dmb[0]=$BPs0[7]; $Dmb[1]=$BPs1[7]; +$Dlb[0]=$BPs0[8]; $Dlb[1]=$BPs1[8]; + +$Llb[0]=$BPs0[9]; $Llb[1]=$BPs1[9]; +$Llm[0]=$BPs0[10]; $Llm[1]=$BPs1[10]; +$Llt[0]=$BPs0[11]; $Llt[1]=$BPs1[11]; + +##-----------------Back FACE------------- +## do the B face transform (in rows: 1,2,3/4,5,6/7,8,9) +## f = face; 0=colour, 1= number +@BPf0=($Brb[0], $Brm[0], $Brt[0], $Bmb[0], $Bmm[0], $Bmt[0], $Blb[0], $Blm[0], $Blt[0]); + +@BPf1=($Brb[1], $Brm[1], $Brt[1], $Bmb[1], $Bmm[1], $Bmt[1], $Blb[1], $Blm[1], $Blt[1]); + +$Brt[0]=$BPf0[0]; $Brt[1]=$BPf1[0]; +$Bmt[0]=$BPf0[1]; $Bmt[1]=$BPf1[1]; +$Blt[0]=$BPf0[2]; $Blt[1]=$BPf1[2]; + +$Brm[0]=$BPf0[3]; $Brm[1]=$BPf1[3]; +$Bmm[0]=$BPf0[4]; $Bmm[1]=$BPf1[4]; +$Blm[0]=$BPf0[5]; $Blm[1]=$BPf1[5]; + +$Brb[0]=$BPf0[6]; $Brb[1]=$BPf1[6]; +$Bmb[0]=$BPf0[7]; $Bmb[1]=$BPf1[7]; +$Blb[0]=$BPf0[8]; $Blb[1]=$BPf1[8]; +} +##=====================end=================================== -- cgit v1.2.3