Attachment "proportional_weighted_shares_for_submit_TCLLIB_math_stats.tcl" to
ticket [e6b2685388]
added by
anonymous
2018-08-06 23:21:06.
# pretty print from autoindent and ased editor
# proportional_weighted_shares for submit TCLLIB math::stats? package?
# possibly related rational_funcs.tcl and geometry.tcl
# seen similar problems in high school algebra and geometry texts
# working under TCL version 8.6.4
# console program written on Windows XP on TCL
# test statements and designated errors hard wired at end
# This code is copyrighted same as TCL version 8.6.4
# 3aug2018, copyrighted under and same as TCL license.
# Editorial rights are reserved under TCL license
# De and Mad Max on Facebook TCL club, 2aug2018
package require Tk
console show
package require math::numtheory
namespace path {::tcl::mathop ::tcl::mathfunc math::numtheory }
set tcl_precision 17
# adapted from tcl-wiki Stats 2011-05-22, arithmetic mean [RLE]
#
# ::math::stats::proportional_weighted_shares --
#
# Return the proportional_weighted_shares from quantity by two or more given ratios
#
# Arguments:
# quantity first value is quantity
# args second, third, and sucessive values
# are two or more given ratios (usually integers in high school)
# However, decimal fractions for both quantity and args seem
# to be reasonably accurate to TCL precison.
# Conditions and answer checks
# The quantity must be larger than 0
# The number of args must be larger than 2
# If sum of parts equals zero, formula is undefined
# Number of parts should be equal to [ llength $args ]
# Total value of parts should be equal to quantity entry
# The solution may not be unique in that more than one
# set of shares may have or generate the same multiple ratios.
# Results: parts of quantity into proportional weighted shares
#
proc ::math::proportional_weighted_shares {quantity args} {
if { $quantity <= 0 } {
return -code error "The quantity must be larger than 0"
}
if { [ llength $args ] <= 1.9 } {
return -code error "The number of args must be 2 or more"
}
if { [ expr ([join $args +]) ] <= 0 } {
return -code error "The sum of args must be more than zero"
}
set sum 0.
set N [ expr { [ llength $args ] + 1 } ]
if { $N == 1 } { return 0 }
foreach val $args {
set sum [ expr { $sum + ($val*1.) } ]
}
foreach val $args {
lappend answer [ expr { $quantity * ((1.*$val)/$sum) } ]
}
set answer
}
console eval {.console config -bg palegreen}
console eval {.console config -font {fixed 20 bold}}
console eval {wm geometry . 40x20}
console eval {wm title . "Quantity into Parts Calculator , cut and paste from console 1"}
console eval {. configure -background orange -highlightcolor brown -relief raised -border 30}
puts " ::math::proportional_weighted_shares ( 84 1 2 4 ) answer 12.0 24.0 48.0 "
puts " [ ::math::proportional_weighted_shares 84 1 2 4 ] "
puts " ::math::proportional_weighted_shares ( 14 1 2 4 ) answer 2.0 4.0 8.0 "
puts " [ ::math::proportional_weighted_shares 14 1 2 4 ] "
puts " ::math::proportional_weighted_shares ( 10 2 3 ) answer 4.0 6.0 "
puts " [ ::math::proportional_weighted_shares 10 2 3 ] "
puts " ::math::proportional_weighted_shares ( 11 2 3 ) answer 4.40 6.59 "
puts " [ ::math::proportional_weighted_shares 11 2 3 ] "
puts " ::math::proportional_weighted_shares ( 9 1 1 1 ) answer 3.0 3.0 3.0 "
puts " [ ::math::proportional_weighted_shares 9 1 1 1 ] "
puts " ::math::proportional_weighted_shares ( 10 1 1 1 1 1 1 1 1 1 1 ) answer 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 1.0 "
puts " [ ::math::proportional_weighted_shares 10 1 1 1 1 1 1 1 1 1 1 ] "
puts " ::math::proportional_weighted_shares ( 0.10 .1 .1 .1 .1 .1 .1 .1 .1 .1 .1 ) answer 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 0.01 "
puts " [ ::math::proportional_weighted_shares 0.10 .1 .1 .1 .1 .1 .1 .1 .1 .1 .1 ] "
# following return designated errors
#puts " ::math::proportional_weighted_shares ( 10 1 ) answer returns error "
#puts " [ ::math::proportional_weighted_shares 10 1 ] "
#puts " [ ::math::proportional_weighted_shares 84 1 ] for (::math::proportional_weighted_shares 84 1) returns error "
#puts " [ ::math::proportional_weighted_shares 84 ] for (::math::proportional_weighted_shares 84 0) returns error "
#puts " [ ::math::proportional_weighted_shares -2 1 2 3 ] for (::math::proportional_weighted_shares -2 1 2 3) returns error "
#end of deck
