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# Copyright (C) 1999-2018
# Smithsonian Astrophysical Observatory, Cambridge, MA, USA
# For conditions of distribution and use, see copyright notice in "copyright"
package provide DS9 1.0
set M_PI 3.14159265358979323846
# hours to degrees
proc h2d {h} {
return [expr ($h + 0.0) * 15.0]
}
# degrees to hours
proc d2h {d} {
return [expr ($d + 0.0) / 15.0]
}
# degrees to radians -- returns 0 <= r < PI
proc d2r {d} {
global M_PI
while {[::math::fuzzy::tge $d 360.0]} {
set d [expr $d - 360.0]
}
return [expr ($d + 0.0) * ($M_PI / 360.0)]
}
# radians to degrees -- returns 0 <= d < PI
proc r2d {r} {
global M_PI
while {[::math::fuzzy::tge $r $M_PI]} {
set r [expr $r - $M_PI]
}
return [expr ($r + 0.0) * (360.0 / $M_PI)]
}
#
# strtod -- convert string to double
#
# Supports sexagesimal values:
# 12:30:45.6 12h30m45.6s 12d30m45.6s "12 30 45.6"
# Supports 12.5d (degrees) 12.5r (radians)
#
# A hidden global _strtod returns the number of arguments in the input.
# if this value is 3 or 4, then hms or dms was input. This can be used
# to determine that hms was input for ra so that you can convert hours
# to degrees.
#
#
set _strtod 0
proc strtod {d} {
global _strtod
set d [string trim $d]
set d [string trimleft $d 0]
if { $d == {} } {
set d 0
}
if { [string first - $d] >= 0 } {
set sign "-"
regsub -all -- "-" $d {} d
} elseif { [string first + $d] >= 0 } {
set sign {}
regsub -all -- {\+} $d {} d
} else {
set sign {}
}
regsub -all {[ \t]*[hms][ \t]*} $d ":" d
set arglist [split $d ": "]
set _strtod 0
foreach arg $arglist {
set args($_strtod) [string trimleft $arg 0]
if { $args($_strtod) == {} } {
set args($_strtod) 0
}
incr _strtod
}
switch $_strtod {
2 {
error "ERROR: strtod h:m:s|d:m:s|d"
}
3 {
set d [expr double($args(0)) + 0.0];
set m [expr double($args(1)) + 0.0];
set s [expr double($args(2)) + 0.0];
}
4 {
set d [expr double($args(0)) + 0.0];
set m [expr double($args(1)) + 0.0];
set s [expr double($args(2)) + 0.0];
}
default {
set c [string range $d end end]
if { $c == "r" } {
set d [string trimright $d r]
set d [r2d $d]
} elseif { $c == "d" } {
set d [string trimright $d d]
}
set m 0
set s 0
}
}
set val [expr $d + ($m / 60.0) + ($s / 3600.0)]
# we don't want this. it rounds off to a precision of 6, which can
# cause problems with h:m:s to degree convertions
# set val [format "%s%g" $sign $val]
set val "$sign$val"
return $val
}
#
# _uformat -- primative unit format converter to convert a float to a string
# output format can be:
# # or : (output in sexagesimal) or d (output in decimal)
#
proc _uformat {oformat value} {
if { $value < 0.0 } {
set sign "-"
set d [expr -$value]
} else {
set sign {}
set d $value
}
switch $oformat {
{#} {
set m [expr ($d - (int($d))) * 60]
if { $m < 0 } {
set m 0.0
}
set s [expr ($m - (int($m))) * 60]
if { $s < 0 } {
set s 0.0
}
return [format "%s%d %d %.3f" \
$sign [expr int($d)] [expr int($m)] $s]
}
: {
set m [expr ($d - (int($d))) * 60]
if { $m < 0 } {
set m 0.0
}
set s [expr ($m - (int($m))) * 60]
if { $s < 0 } {
set s 0.0
}
return [format "%s%d:%d:%.3f" \
$sign [expr int($d)] [expr int($m)] $s]
}
d {
return [format "%s%f" $sign $d]
}
}
}
#
# uformat -- unit format converter
#
# uformat input_format output_format value
#
# where input format can be:
# h (hours) d (degrees) m (minutes) s (seconds)
# and output format can be the same, with a suffix of:
# # or : (output in sexagesimal) or d (output in decimal)
#
proc uformat {iformat oformat value} {
set itype [string index $iformat 0]
set otype [string index $oformat 0]
set oform [string index $oformat 1]
if { $oform == {} } {
set oform d
}
set value [strtod $value]
switch $itype {
h {
switch $otype {
h {return [_uformat $oform $value]}
d {return [_uformat $oform [h2d $value]]}
m {return [_uformat $oform [h2d $value]*60]}
s {return [_uformat $oform [h2d $value]*60*60]}
}
}
d {
switch $otype {
h {return [_uformat $oform [d2h $value]]}
d {return [_uformat $oform $value]}
m {return [_uformat $oform [expr $value*60]]}
s {return [_uformat $oform [expr $value*60*60]]}
}
}
m {
switch $otype {
h {return [_uformat $oform [d2h $value/60]]}
d {return [_uformat $oform [expr $value/60]]}
m {return [_uformat $oform $value]}
s {return [_uformat $oform [expr $value*60]]}
}
}
s {
switch $otype {
h {return [_uformat $oform [h2d $value/60/60]]}
d {return [_uformat $oform [expr $value/60/60]]}
m {return [_uformat $oform [expr $value/60]]}
s {return [_uformat $oform $value]}
}
}
}
}
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