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#!/usr/bin/perl
use strict;
use warnings;
use Utils;
my ($dmrgOrLanczos,$q,$root,$useReflection) = @ARGV;
defined($useReflection) or die "USAGE: $0 dmrgOrLanczos q root useReflection\n";
Utils::checkRange($dmrgOrLanczos,"Lanczos","Dmrg");
my $templateInput = "inputTemplate.inp";
my $b = 1;
my %params = Utils::loadParams("params.txt");
my $n = Utils::getLabel($templateInput,"TotalNumberOfSites=");
my @spectral;
for (my $site=0; $site<$n; $site++) {
for (my $site2=0; $site2<$n; $site2++) {
my ($siteMin,$siteMax) = findSubstitutes($site,$site2,$n,$useReflection);
my $output = "$root${siteMin}_$siteMax";
die "$0: $output does not exist\n" unless (-r "$output.comb");
if ($b && ($site2 >= $site)) {
my ($psimagLite,$begin,$end,$step,$eps) = ($params{"PsimagLite"},$params{"OmegaBegin"},$params{"OmegaEnd"},
$params{"OmegaStep"},$params{"OmegaEps"});
system("$psimagLite/drivers/continuedFractionCollection -f $output.comb -b $begin -e $end -s $step -d $eps > $output.cf");
}
if ($q == -2) {
print STDERR "$0: Doing addDiagonal\n";
addDiagonal("$output.cf",$site+$site2,$site,$site2,$n);
} elsif ($q < 0) {
addOptical("$output.cf",$site+$site2,$site,$site2,$n);
} else {
my @expq = findExp($site,$site2,$q);
addThisCf("$output.cf",$site+$site2,\@expq);
}
print STDERR "$0: Done $site $site2";
print STDERR " (using $siteMin $siteMax)" if ($siteMin != $site);
print STDERR "\n";
}
}
printCf("${root}Total$q.cf",\@spectral);
print "$0: Result is in ${root}Total$q.cf\n";
sub findSubstitutes
{
my ($site,$site2,$n,$useReflection) = @_;
my $siteMin = ($site < $site2) ? $site : $site2;
my $siteMax = ($site < $site2) ? $site2 : $site;
my ($s1,$s2) = ($siteMin,$siteMax);
if ($useReflection and Utils::reflected($siteMin,$siteMax,$n)) {
$s1 = Utils::findReflection($siteMax,$n);
$s2 = Utils::findReflection($siteMin,$n);
}
return ($s1,$s2);
}
sub findExp
{
my ($site,$site2,$q) = @_;
my $factor = ($site == $site2) ? 4 : 0.5;
$factor = 1 if ($dmrgOrLanczos == "Lanczos");
my $tmp = ($site - $site2) * $q;
return ($factor*cos($tmp),$factor*sin($tmp));
}
sub acos { atan2( sqrt(1 - $_[0] * $_[0]), $_[0] ) }
sub addThisCf
{
my ($file,$ind,$expq) = @_;
open(FILE,"$file") or die "$0: Cannot open $file: $!\n";
my $c = 0;
while(<FILE>) {
chomp;
my @temp = split;
next if (scalar(@temp) != 3);
my $freq = $spectral[$c];
my @freq;
@freq = @$freq if ($ind > 0);
checkFreq(\@freq,$ind,$temp[0]);
my @value;
$value[0] = $temp[1] * $expq->[0] + $temp[2] * $expq->[1];
$value[1] = $temp[2] * $expq->[0] - $temp[1] * $expq->[1];
$freq[1] += $value[0];
$freq[2] += $value[1];
$spectral[$c] = \@freq;
$c++;
}
close(FILE);
}
sub addDiagonal
{
my ($file,$ind,$site,$site2,$L) = @_;
open(FILE,"$file") or die "$0: line $. Cannot open $file: $!\n";
my $c = 0;
return if ($site != $site2);
my $diagFactor = ($site == $site2) ? 4 : 0.25;
$diagFactor = 1 if ($dmrgOrLanczos eq "Lanczos");
while(<FILE>) {
chomp;
my @temp = split;
next if (scalar(@temp) != 3);
my $freq = $spectral[$c];
my @freq;
@freq = @$freq if ($ind > 0);
checkFreq(\@freq,$ind,$temp[0]);
my @value;
my $tmp = $diagFactor;
$value[0] = $temp[1] * $tmp;
$value[1] = $temp[2] * $tmp;
$freq[1] += $value[0];
$freq[2] += $value[1];
$spectral[$c] = \@freq;
$c++;
}
close(FILE);
}
sub addOptical
{
my ($file,$ind,$site,$site2,$L) = @_;
open(FILE,"$file") or die "$0: line $. Cannot open $file: $!\n";
my $c = 0;
my $diagFactor = ($site == $site2) ? 4 : 0.5;
$diagFactor = 1 if ($dmrgOrLanczos eq "Lanczos");
while(<FILE>) {
chomp;
my @temp = split;
next if (scalar(@temp) != 3);
my $freq = $spectral[$c];
my @freq;
@freq = @$freq if ($ind > 0);
checkFreq(\@freq,$ind,$temp[0]);
my @value;
my $tmp = lMinusFactor($site,$L) * lMinusFactor($site2,$L) * $diagFactor;
$value[0] = $temp[1] * $tmp;
$value[1] = $temp[2] * $tmp;
$freq[1] += $value[0];
$freq[2] += $value[1];
$spectral[$c] = \@freq;
$c++;
}
close(FILE);
}
sub lMinusFactor
{
my ($l,$L) = @_;
return ($l + 1 - ($L+1)/2);
}
sub checkFreq
{
my ($f,$ind,$omega) = @_;
if ($ind == 0) {
$f->[0] = $omega;
$f->[1] = 0;
$f->[1] = 0;
return;
}
defined($f->[0]) or die "$0: Undefined freq for $omega\n";
($f->[0] == $omega) or die "$0: Invalid frequency ".$f->[0]." should be $omega\n";
}
sub printCf
{
my ($output,$f) = @_;
my @freq = @$f;
open(FOUT," > $output") or die "$0: Cannot open $output for writing: $!\n";
for (my $i = 0; $i < scalar(@freq); $i++) {
my $oneF = $freq[$i];
my @oneFreq = @$oneF;
print FOUT "$oneFreq[0] $oneFreq[1] $oneFreq[2]\n";
}
close(FOUT);
}
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