File: cosets

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#! /bin/sh
#!perl -w # --*- Perl -*--
eval 'exec perl -x $0 ${1+"$@"}'
    if 0;
#------------------------------------------------------------------------------
#$Author: antanas $
#$Date: 2021-04-28 19:35:53 +0300 (Wed, 28 Apr 2021) $
#$Revision: 8738 $
#$URL: svn+ssh://www.crystallography.net/home/coder/svn-repositories/cod-tools/tags/v3.7.0/scripts/cosets $
#------------------------------------------------------------------------------
#*
#* Generate and print out cosets of a subgroup in a group.
#*
#* Both the group and the subgroup can be given either as H-M symbols
#* of crystallographic groups or as lists of (generating) symmetry
#* operators.
#*
#* USAGE:
#*   $0 --options P222 P2
#*   $0 --options -- "x,y,z -x,-y,z x,y,-z -x,-y,-z" "-x,-y,z"
#**

use strict;
use warnings;
use COD::CIF::Data;
use COD::Spacegroups::Symop::Parse qw(
    string_from_symop_reduced
    symop_from_string
);
use COD::Spacegroups::Cosets qw(
    find_left_cosets
    find_right_cosets
);
use COD::Spacegroups::SimpleBuilder;
use COD::SOptions qw( getOptions );
use COD::SUsage qw( usage );
use COD::ToolsVersion qw( get_version_string );

my $cosets = 'both'; # Other options are 'right' or 'left'.

#* OPTIONS:
#*   -r, --right-cosets
#*   -l, --left-cosets
#*   -a, --all-cosets
#*                     Find the specified cosets (left cosets, right
#*                     cosets or both (default: both)).
#*
#*   --help, --usage
#*                     Output a short usage message (this message) and exit.
#*
#*   --version
#*                     Output version information and exit.
#**
@ARGV = getOptions(
    "-r,--right-cosets" => sub { $cosets = 'right' },
    "-l,--left-cosets"  => sub { $cosets = 'left' },
    "-a,--all-cosets"   => sub { $cosets = 'both' },

    '--help,--usage' => sub { usage; exit },
    '--version'      => sub { print get_version_string(), "\n"; exit }
);

if( @ARGV < 2 ) {
    print STDERR "$0: usage: $0 SG1 SG1\n";
    print STDERR " e.g.: $0 P212121 P21\n";
    exit 1;
}

my $spacegroup_description_1 = shift( @ARGV );
my $spacegroup_description_2 = shift( @ARGV );

my $sym_data_1 =
    COD::CIF::Data::lookup_space_group( 'hermann_mauguin',
                                        $spacegroup_description_1 );

my $sym_data_2 =
    COD::CIF::Data::lookup_space_group( 'hermann_mauguin',
                                        $spacegroup_description_2 );

my ($symops_1, $symops_2);

if( defined $sym_data_1 ) {
    $symops_1 = [ map { symop_from_string($_) } @{$sym_data_1->{symops}} ];
} else {
    my $spacegroup = COD::Spacegroups::SimpleBuilder->new;
    my @user_symops = split( " ", $spacegroup_description_1 );
    $spacegroup->insert_symop_strings( \@user_symops );
    $symops_1 = $spacegroup->all_symops_ref();
}

if( defined $sym_data_2 ) {
    $symops_2 = [ map { symop_from_string($_) } @{$sym_data_2->{symops}} ];
} else {
    my $spacegroup = COD::Spacegroups::SimpleBuilder->new;
    my @user_symops = split( " ", $spacegroup_description_2 );
    $spacegroup->insert_symop_strings( \@user_symops );
    $symops_2 = $spacegroup->all_symops_ref();
}

if( $cosets eq 'left' || $cosets eq 'both' ) {
    my @coset_symops = find_left_cosets( $symops_1, $symops_2 );

    my $separator = "";
    for( my $i = 0; $i <= $#coset_symops; $i++ ) {
        print $separator;
        for my $symop (@{$coset_symops[$i]}) {
            print( "LCOSET\t", $i, "\t",
                   string_from_symop_reduced( $symop ), "\n" );
        }
        $separator = "\n";
    }
    print "\n", '#', '-' x 79, "\n\n" if $cosets eq 'both';
}

if( $cosets eq 'right' || $cosets eq 'both' ) {
    my @coset_symops = find_right_cosets( $symops_1, $symops_2 );

    my $separator = "";
    for( my $i = 0; $i <= $#coset_symops; $i++ ) {
        print $separator;
        for my $symop (@{$coset_symops[$i]}) {
            print( "RCOSET\t", $i, "\t",
                   string_from_symop_reduced( $symop ), "\n" );
        }
        $separator = "\n";
    }
}