#======================================================================

#                    L I B C O N V . P L 

#                    doc: Sat Dec  4 13:03:49 1999

#                    dlm: Tue May 22 11:34:01 2012

#                    (c) 1999 A.M. Thurnherr

#                    uE-Info: 63 84 NIL 0 0 70 2 2 4 NIL ofnI

#======================================================================

# HISTORY:

#   Dec 12, 1999: - created for the Rainbow CM data as libdate

#   Jul 07, 2000: - renamed to libconv and added lat/lon conversions

#   Aug 21, 2000: - added &s2d()

#   Aug 24, 2000: - added &DDMMXh2d() and &DDDMMXh2d()

#   Aug 28, 2000: - moved &DDMMXh2d() and &DDDMMXh2d() to [libNODC.pl]

#   Sep 04, 2000: - added &GMT2d()

#   Sep 20, 2000: - added &fmtdate(), &fmttime()

#   Oct 16, 2000: - added &dmsh2d()

#   Oct 31, 2000: - added &T90(), &T68()

#   Jan 22, 2001: - BUG: &GMT2d() wrongly +ve-ized stuff like -00:05

#   Feb 28, 2001: - added &O2mlpl2umpkg()

#   Aug  3, 2001: - made &O2mlpl2umpkg() return NaN on -ve input

#   Aug  7, 2001: - added &O2umpkg2mlpl()

#                 - replaced temp_scale by ITS

#   Aug  8, 2001: - BUG: allowed for NaN O2 values

#   Aug 19, 2001: - change temp-conversions to allow nop; changed names

#   Sep  1, 2001: - BUG: allow for nan in addition to NaN

#	Dec 30, 2001: - generalized s2d()

#				  - BUG: allow NaNs on temp conversions

#	Feb  4, 2002: - allow for -ve O2 values in conversions to handle offsets

#	Aug 14, 2002: - moved ITS checks in ITS_68() & ITS_90()

#	Oct  9, 2002: - added &fmttime1(),&fmtdate1()

#	Jan 23, 2003: - added more time conversion routines

#	Apr 14, 2003: - removed antsReplaceParam() call

#	May 21, 2004: - added ``-'' as a valid date separator

#	Jun 22, 2004: - added HSV2RGB()

#	Jun 27, 2004: - renamed degree-conversion routines

#				  - added wraplon()

#	Dec  1, 2005: - cosmetics

#	Dec  9, 2005: - Version 3.2 [HISTORY]

#	Apr  4, 2006: - made epoch optional in &dayNo()

#	Apr 28, 2006: - added &dn2date()

#   Jul  1, 2006: - Version 3.3 [HISTORY]

#	Nov  9, 2006: - added dec_time()

#				  - added dn2date_time()

#				  - moved year forward in dn2date()

#	Oct 17, 2007: - dn2date -> Date

#				  - dn2date_time -> Time

#				  - adapted Date/Time to antsFunUsage() with default fields

#	Oct 19, 2007: - removed antsFunUsage() from non-UI funs

#	Nov 17, 2007: - added "." as another legal date separator

#	Jul 10, 2008: - added support for month names in dayNo()

#	Dec  1, 2008: - added dec_time_long()

#	Dec  3, 2008: - renamed many of the date-conversion routines

#				  - added frac_day()

#	Jan  8, 2009: - BUG: &Date() returned wrong date for any time after

#						 midnite on last day of a month

#	Oct 27, 2010: - added &day_secs()

#	Jan  3, 2010: - extended frac_day() to allow a single string time-spec

#	Jul 19, 2011: - made epoch aptional in mmddyy2dec_time()

#	Aug  2, 2011: - enhanced yymmdd2dec_time()

#	Apr 17, 2012: - added space as another date separator in ddmmyy2dec_time

#	May 22, 2012: - BUG: illegal time spec error was also produced on missing seconds

#				  - BUG: mmddyy2dec_time() did not allow for optional epoch argument

require "$ANTS/libEOS83.pl";                        # &sigma()

require "$ANTS/libPOSIX.pl";                        # &floor()

require "$ANTS/libstats.pl";                        # &min(),&max()

#----------------------------------------------------------------------

# Date Conversion

#----------------------------------------------------------------------

sub leapYearP(@)                                    # leap year?

{

    my($y) = @_;

    $y += ($y < 50) ? 2000 : 1900 if ($y < 100);    # Y2K

    return 0 if ($y%4 != 0);

    return 1 if ($y%100 != 0);

    return 0 if ($y%400 > 0);

    return 1;

}

sub monthLength(@)                                  # #days in given month/year

{

    my($y,$m) = @_;

    return 31 if ($m==1 || $m==3 || $m==5 || $m==7 ||

                  $m==8 || $m==10 || $m==12);

    return 30 if ($m==4 || $m==6 || $m==9 || $m==11);

    return 28 + &leapYearP($y) if ($m == 2);

    croak("$0: &monthLength(): Illegal month\n");

}

{ my(@fc);

	sub Date(@) 										# day number -> date

	{

		my($dnf);										# find std dn field & epoch

		if (@_ == 0) {

			for (my($i)=0; $i<@antsLayout; $i++) {

				next unless ($antsLayout[$i] =~ /^dn(\d\d)$/);

				$dnf = $antsLayout[$i]; push(@_,$1);

				last;

	        }

	    }

		my($year,$day) = &antsFunUsage(2,"cf","epoch, dayNo",\@fc,undef,$dnf,@_);

		$year += ($year < 50) ? 2000 : 1900 			# Y2K

			if ($year < 100);

		$day = int($day);								# prevent runover on last day of month

		while ($day > 365+&leapYearP($year)) {			# adjust year

			$day -= 365 + &leapYearP($year);

			$year++;

		}

		my($month) = 1;

		while ($day > &monthLength($year,$month)) {

			$day -= &monthLength($year,$month);

			$month++;

		}

		return sprintf('%04d/%02d/%02d',$year,$month,$day);

	}

}

{ my(@fc);

	sub Time(@) 										# day number -> date/time

	{

		my($dnf);										# find standard dn field

		for (my($i)=0; $i<@antsLayout; $i++) {

			next unless ($antsLayout[$i] =~ /^dn\d\d$/);

			$dnf = $antsLayout[$i];

			last;

		}

		my($fday) = &antsFunUsage(1,"f","dayNo",\@fc,$dnf,@_);

		my($day) = int($fday);

		$fday -= $day;

		my($hour) = int(24*$fday);

		$fday -= $hour/24;

		my($min) = int(24*60*$fday);

		$fday -= $min/24/60;

		my($sec) = round(24*3600*$fday);

		$min++,$sec=0 if ($sec == 60);

		$hour++,$min=0 if ($min == 60);

		$day++,$hour=0 if ($hour == 24);

		return sprintf('%02d:%02d:%02d',$hour,$min,$sec);

	}

}

sub dayNo(@)										# day number, starting at 1

{

    my($epoch,$y,$m,$d) =

        &antsFunUsage(-3,"c..","[epoch,] year, month, day",@_);

    unless (defined($d)) {

    	$d = $m; $m = $y; $y = $epoch;

    }

	unless (cardinalp($m)) {

		$m = lc($m);

		if    ($m =~ /^jan/) { $m = 1; }

		elsif ($m =~ /^feb/) { $m = 2; }

		elsif ($m =~ /^mar/) { $m = 3; }

		elsif ($m =~ /^apr/) { $m = 4; }

		elsif ($m =~ /^may/) { $m = 5; }

		elsif ($m =~ /^jun/) { $m = 6; }

		elsif ($m =~ /^jul/) { $m = 7; }

		elsif ($m =~ /^aug/) { $m = 8; }

		elsif ($m =~ /^sep/) { $m = 9; }

		elsif ($m =~ /^oct/) { $m = 10; }

		elsif ($m =~ /^nov/) { $m = 11; }

		elsif ($m =~ /^dec/) { $m = 12; }

		else { croak("$0: unknown month $m\n"); }

	}

    my($dn) = 0;        

    $epoch += ($epoch < 50) ? 2000 : 1900           # Y2K       

        if ($epoch < 100);

    $y += ($y < 50) ? 2000 : 1900

        if ($y < 100);

    croak("$0: &dayNo(): Error: epoch > year\n")        # only positive times

        if ($y < $epoch);

    while ($epoch < $y) {                           # entire years

        $dn += 365 + &leapYearP($epoch);

        $epoch++;

    }

    croak("$0: &dayNo(): Error: day > #days of month\n")    # current month

        if ($d > &monthLength($y,$m));

    $dn += $d;

    $m--;

    while ($m > 0) {                                # current year

        $dn += &monthLength($y,$m);

        $m--;

    }

    return $dn

}

sub frac_day(@)										# fractional day

{

	my($h,$m,$s);

	if (@_ == 1) {

		($h,$m,$s) = split(':',$_[0]);

	} else {

		($h,$m,$s) = &antsFunUsage(3,'ccf',"<h:m:s>|<hour> <min> <sec>",@_);

	}

	croak("$0: &frac_day_long(): illegal time spec $h:$m:$s\n")

		unless ((defined($h) && $h>=0 && $h<24) &&

				(defined($m) && $m>=0 && $m<60) &&

				(!defined($s) || ($s>=0 && $s<60)));

	return $h/24 + $m/24/60 + $s/24/3600;

}

sub day_secs(@)										# seconds since daystart

{

	my($h,$m,$s) = &antsFunUsage(3,'ccf',"<hour> <min> <sec>",@_);

	croak("$0: &frac_day_long(): illegal time spec $h:$m:$s\n")

		unless ((defined($h) && $h>=0 && $h<24) &&

				(defined($m) && $m>=0 && $m<60) &&

				(!defined($s) || ($s>=0 && $s<60)));

	return $h*3600 + $m*60 + $s;

}

sub str2dec_time(@)									# decimal time

{

	my($ts,$ds,$epoch) =

        &antsFunUsage(-1,'.',"'hh:mm[:ss]'[,'[YY]YY/MM/DD'[,epoch]]",@_);

	my($dayNo) = 0;

	if ($ds ne '') {								# date

		my($yy,$mm,$dd) = split('[-/\.]',$ds);

		$dayNo = defined($epoch) ?

				 dayNo($epoch,$yy,$mm,$dd) : dayNo($yy,$mm,$dd);

	}

	my($h,$m,$s) = split(':',$ts);

	$s = 0 unless defined($s);

	return $dayNo + &frac_day($h,$m,$s);

}

sub dec_time(@)										# decimal time

{

	my($epoch,$yy,$mm,$dd,$h,$m,$s) =

        &antsFunUsage(7,'ccccccf',"<epoch> <year> <month> <day> <hour> <min> <sec>",@_);

	return &dayNo($epoch,$yy,$mm,$dd) + &frac_day($h,$m,$s);

}

sub mmddyy2dec_time(@)								# decimal time

{

	my($ds,$ts,$epoch) =

        &antsFunUsage(-2,"..","date-string (empty ok), time-string[, epoch]",@_);

	my($time) = 0;

	if ($ds ne "") {								# date

		my($mm,$dd,$yy) = split('[-/\. ]',$ds);

		if (defined($epoch)) {

			$time = dayNo($epoch,$yy,$mm,$dd);

        } else {

			$time = dayNo($yy,$yy,$mm,$dd);

		}

	}

	my($h,$m,$s) = split(':',$ts);					# time

	croak("$0: &mmddyy2dec_time(): illegal time spec $ts\n")

		unless ((defined($h) && $h>=0 && $h<24) &&

				(defined($m) && $m>=0 && $m<60) &&

				(!defined($s) || ($s>=0 && $s<60)));

	$time += $h/24 + $m/24/60 + $s/24/3600;

	return $time;

}

sub ddmmyy2dec_time(@)								# decimal time

{

	my($epoch,$ds,$ts) =

        &antsFunUsage(3,"c..","epoch, date-string (empty ok), time-string",@_);

	my($time) = 0;

	if ($ds ne "") {								# date

		my($dd,$mm,$yy) = split('[-/\.]',$ds);

		$time = dayNo($epoch,$yy,$mm,$dd);

	}

	my($h,$m,$s) = split(':',$ts);

	croak("$0: &dec_time(): illegal time spec $ts\n")

		unless ((defined($h) && $h>=0 && $h<24) &&

				(defined($m) && $m>=0 && $m<60) &&

				(!defined($s) || ($s>=0 && $s<60)));

	$time += $h/24 + $m/24/60 + $s/24/3600;

	return $time;

}

sub yymmdd2dec_time(@)								# decimal time

{

	my($epoch,$ds,$ts) =

        &antsFunUsage(3,"c..","epoch, date-string (empty ok), time-string (empty ok)",@_);

	my($time) = 0;

	if ($ds ne "") {								# date

		my($yy,$mm,$dd);

		if (length($ds) == 6) {

			$yy = substr($ds,0,2);

			$mm = substr($ds,2,2);

			$dd = substr($ds,4,2);

		} else {

			($yy,$mm,$dd) = split('[-/\.]',$ds);

		}

		$time = dayNo($epoch,$yy,$mm,$dd);

	}

	if ($ts ne '') {

		my($h,$m,$s) = split(':',$ts);

		croak("$0: &dec_time(): illegal time spec $ts\n")

		unless ((defined($h) && $h>=0 && $h<24) &&

				(defined($m) && $m>=0 && $m<60) &&

				(!defined($s) || ($s>=0 && $s<60)));

	    $time += $h/24 + $m/24/60 + $s/24/3600;

	}

	return $time;

}

sub date2str(@)

{

    my($MM,$DD,$YYYY) = &antsFunUsage(3,"ccc","month, day, year",@_);

    $YYYY += 2000 if ($YYYY < 50);

    $YYYY += 1900 if ($YYYY < 100);

    return sprintf("%02d",$MM) . "/" .

           sprintf("%02d",$DD) . "/" . $YYYY;

}

sub card_date2str(@)

{

    my($DDMMYY) = &antsFunUsage(1,"c","ddmmyy",@_);

    $DDMMYY = sprintf("%06d",$DDMMYY);

    return &fmtdate(substr($DDMMYY,2,2),substr($DDMMYY,0,2),substr($DDMMYY,4,2));

}

sub time2str(@)

{

    my($HH,$MM) = &antsFunUsage(2,"cc","hr, min",@_);

    return sprintf("%02d",$HH) . ":" . sprintf("%02d",$MM);

}

sub card_time2str(@)

{

    my($HHMM) = &antsFunUsage(1,"c","hrmin",@_);

    return &fmttime(int($HHMM/100),$HHMM%100);

}

#----------------------------------------------------------------------

# Lat/Lon Conversion

#----------------------------------------------------------------------

sub wraplon(@)		# get sign of longitudes right

{

	my($deg) = &antsFunUsage(1,'f','deg',@_);

	return ($deg > 180) ? $deg - 360 : $deg;

}

sub dmh2deg(@)		# dd mm.m NSEW -> dd.d

{

    my($deg,$min,$hemisph) =

        &antsFunUsage(3,"ff1","deg, min, hemisphere",@_);

    croak("$0 dmh2d(): <deg> may not be -ve\n") if ($deg < 0);

    croak("$0 dmh2d(): <min> may not be -ve\n") if ($min < 0);

    $deg += $min/60;

    $_ = $hemisph;

    SWITCH: {

        $deg = -$deg, last SWITCH if (/[sSwW]/);

        last SWITCH if (/[nNeE]/);

        croak("$0 dmh2d(): $hemisph is an invalid hemisphere id\n");

    }

    return $deg;

}

sub dmsh2deg(@)   # dd mm ss NSEW -> dd.d

{

    my($deg,$min,$sec,$hemisph) =

        &antsFunUsage(4,"fff1","deg, min, sec, hemisphere",@_);

    croak("$0 dmsh2d(): <deg> may not be -ve\n") if ($deg < 0);

    croak("$0 dmsh2d(): <min> may not be -ve\n") if ($min < 0);

    croak("$0 dmsh2d(): <sec> may not be -ve\n") if ($sec < 0);

    $deg += $min/60 + $sec/3600;

    $_ = $hemisph;

    SWITCH: {

        $deg = -$deg, last SWITCH if (/[sSwW]/);

        last SWITCH if (/[nNeE]/);

        croak("$0 dmh2d(): $hemisph is an invalid hemisphere id\n");

    }

    return $deg;

}

sub str2deg(@)      # string containing dd [mm.m] [NSEW] -> dd.d

{

    my($s) = &antsFunUsage(1,".","'deg[ :][min][ ]hemisphere'",@_);

    my($deg,$a,$b) = ($s =~ m{^([-\d]+)[\s:]([\d\.]+)\s*([NSEW])$});

#    print(STDERR "--> $deg, $a, $b\n");

	return ($b eq "") ? &dmh2d($deg,0,$a) : &dmh2d($deg,$a,$b);

}

sub GMT2deg(@)	# GMT degree format to decimal

{

	my($GMT) = &antsFunUsage(1,".","GMT-degs ",@_);

	return (substr($1,0,1) eq "-") ? $1-$2/60.0 : $1+$2/60.0

		if ($GMT =~ /\s*([^:]+):([^:]+)/);

	return $GMT;

}

#----------------------------------------------------------------------

# Temp-Scale Conversion

#----------------------------------------------------------------------

{ my($ITS);

sub ITS_68(@)		  # T90|T68 -> T68

{

	unless (defined($ITS)) {

		$ITS = &antsRequireParam('ITS');

		croak("$0 ITS_68(): ITS == $ITS???\n")

			unless ($ITS == 68 || $ITS ==90);

		unless ($ITS == 68)	{

			croak("$0 ITS_68(): can't change %ITS after flushing header\n")

				if ($antsHeadersPrinted);

			&antsAddParams('ITS',68);

		}

	}

	my($temp) = &antsFunUsage(1,".","temp",@_);

	return nan unless (numberp($temp));

	return($temp) if ($ITS == 68);

    return $temp * 1.00024;

}

} # static scope

{ my($ITS);

sub ITS_90(@)		  # T90|T68 -> T90

{

	unless (defined($ITS)) {

		$ITS = &antsRequireParam('ITS');

		croak("$0 ITS_90(): ITS == $ITS???\n")

			unless ($ITS == 68 || $ITS ==90);

		unless ($ITS == 90)	{

			croak("$0 ITS_90(): can't change %ITS after flushing header\n")

				if ($antsHeadersPrinted);

			&antsAddParams('ITS',90);

		}

	}

	my($temp) = &antsFunUsage(1,".","temp",@_);

	return nan unless (numberp($temp));

	return($temp) if ($ITS == 90);

	return $temp / 1.00024;

}

}

#----------------------------------------------------------------------

# Oxygen Unit Conversion

#

# - old units (e.g. sd2) are ml/l

# - new units (e.g. WOCE) are umol/kg => independent of pressure!

# - conversion (from [http://sea-mat.whoi.edu/robbins/ox_units.m]; Paul

#	Robbins) uses potential density ref'd to surface --- makes sense

#	because titration is presumably done at atmospheric pressure

# - constant divisor is volume of one mole derived from gas law

#   (PV = nRT) in the right units (whatever)

#----------------------------------------------------------------------

{ my(@fc);

	sub O2mlpl2umpkg(@)

	{

		return nan if isnan($_[3]);

		my($S,$T,$P,$mlpl) =

			&antsFunUsage(4,'ffff','[S, T, P [dbar], O2 [ml/l]]',

						  \@fc,'salin','temp','press','O2',@_);

		return $mlpl * 1000/(1000+sigma($S,$T,$P,0)) / .022403;

	}

}

{ my(@fc);

	sub O2umpkg2mlpl(@)

	{

		return nan if isnan($_[3]);

		my($S,$T,$P,$umpkg) =

			&antsFunUsage(4,'ffff','[S, T, P [dbar], O2 [ml/l]]',

						  \@fc,'salin','temp','press','O2',@_);

		return .022403 * $umpkg * (1000+sigma($S,$T,$P,0))/1000;

	}

}

#----------------------------------------------------------------------

# Color Conversion

#

# - algorithms taken from the web; source given alternatively as ACM 

#	and Foley and VanDam

# - from the available GMT default cpt files, it looks like

#	the range for hue is 0 - 359 (angles on a circle)

# - ACM implementation uses a hue range of 0-6 with pure red being 0 or 6

# - ACM implementation uses range of 0-1 for R,G,B

# - in HSV, gray scales are not uniquely defined; I extended the 

#   algorithms to behave like matlab in this case, i.e. return a hue of

#	pure red (0)

#----------------------------------------------------------------------

sub HSV2RGB(@)

{

    my($H,$S,$V) = &antsFunUsage(3,"fff","H (0-360), S (0-1), V (0-1), ",@_);

	my($m,$n,$f,$i);

	$H = 0 if ($H < 0 && $H >= -$PRACTICALLY_ZERO);