/usr/share/tcltk/tklib0.6/diagrams/point.tcl is in tklib 0.6-1.
This file is owned by root:root, with mode 0o644.
The actual contents of the file can be viewed below.
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 141 142 143 144 145 146 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 | ## -*- tcl -*-
## (C) 2010 Andreas Kupries <andreas_kupries@users.sourceforge.net>
## BSD Licensed
# # ## ### ##### ######## ############# ######################
#
# diagram points.
#
# Type validation and implementation of the various operations on
# points and lines. The low-level commands for this come from
# math::geometry. The operations here additionally (un)box from/to
# tagged values. They also handle operations mixing polar and
# cartesian specifications.
#
##
# # ## ### ##### ######## ############# ######################
## Requisites
package require Tcl 8.5 ; # Want the nice things it
# brings (dicts, {*}, etc.)
package require math::geometry 1.1.2 ; # Vector math (points, line
# (segments), poly-lines).
namespace eval ::diagram::point {
namespace export is isa validate absolute at delta by unbox + - | resolve
namespace ensemble create
}
# # ## ### ##### ######## ############# ######################
## Implementation
# # ## ### ##### ######## ############# ######################
## Public API :: validation
proc ::diagram::point::validate {value} {
if {[is $value]} {return $value}
return -code error "Expected diagram::point, got \"$value\""
}
proc ::diagram::point::absolute {value} {
if {[isa $value]} {return $value}
return -code error "Expected absolute diagram::point, got \"$value\""
}
proc ::diagram::point::is {value} {
return [expr {([llength $value] == 2) &&
([lindex $value 0] in {point + by})}]
}
proc ::diagram::point::isa {value} {
# note overlap with constructor 'at'.
return [expr {([llength $value] == 2) ||
([lindex $value 0] eq "point")}]
}
# # ## ### ##### ######## ############# ######################
## Public API :: Constructors
# Absolute location
proc ::diagram::point::at {x y} {
return [list point [list $x $y]]
}
# Relative location, cartesian
proc ::diagram::point::delta {dx dy} {
return [list + [list $dx $dy]]
}
# Relative location, polar
proc ::diagram::point::by {distance angle} {
return [list by [list $distance $angle]]
}
# # ## ### ##### ######## ############# ######################
proc ::diagram::point::unbox {p} {
return [lindex $p 1]
}
# # ## ### ##### ######## ############# ######################
## Public API :: Point arithmetic
proc ::diagram::point::+ {a b} {
set a [2cartesian [validate $a]]
set b [2cartesian [validate $b]]
# Unboxing
lassign $a atag adetail
lassign $b btag bdetail
# Calculation and result type determination
set result [geo::+ $adetail $bdetail]
set rtype [expr {(($atag eq "point") || ($btag eq "point"))
? "at"
: "delta"}]
return [$rtype {*}$result]
}
proc ::diagram::point::- {a b} {
set a [2cartesian [validate $a]]
set b [2cartesian [validate $b]]
# Unboxing
lassign $a atag adetail
lassign $b btag bdetail
# Calculation and result type determination
set result [geo::- $adetail $bdetail]
set rtype [expr {(($atag eq "point") || ($btag eq "point"))
? "at"
: "delta"}]
return [$rtype {*}$result]
}
proc ::diagram::point::| {a b} {
set a [2cartesian [absolute $a]]
set b [2cartesian [absolute $b]]
# Unboxing
lassign $a atag adetail ; lassign $adetail ax ay
lassign $b btag bdetail ; lassign $bdetail bx by
# Calculation of the projection.
return [at $ax $by]
}
# # ## ### ##### ######## ############# ######################
proc ::diagram::point::resolve {base p} {
#puts P|resolve|$base|$p|
# The base is an untagged point, p is a tagged point or delta.
lassign $p tag detail
# A point is returned unchanged.
if {$tag eq "point"} { return [unbox $p] }
# A delta is normalized, then added to the base.
#puts R|$base|$p|
#puts R|[2cartesian $p]|
#puts R|[unbox [2cartesian $p]]|
return [geo::+ $base [unbox [2cartesian $p]]]
}
# # ## ### ##### ######## ############# ######################
# Normalize point/delta information to cartesian
# coordinates. Input and output are both tagged, and points not
# using a polar representation are not modified.
proc ::diagram::point::2cartesian {p} {
lassign $p tag details
if {$tag ne "by"} { return $p }
return [delta {*}[polar2cartesian $details]]
}
# Conversion of a delta from polar to cartesian coordinates,
# operating on untagged data.
proc ::diagram::point::polar2cartesian {polar} {
lassign $polar distance angle
return [geo::s* $distance [geo::direction $angle]]
}
##
# # ## ### ##### ######## ############# ######################
# # ## ### ##### ######## ############# ######################
## Ready
namespace eval ::diagram::point::geo {
namespace import ::math::geometry::*
}
package provide diagram::point 1
|