**Weighted Decision and eTCL demo example calculator, numerical analysis**

This page is under development. Comments are welcome, but please load any comments in the comments section at the bottom of the page. Please include your wiki MONIKER  in your comment with the same courtesy that I will give you. Its very hard to reply intelligibly without some background of the correspondent. Thanks,[gold]
----

<<TOC>>

[gold] Here is some eTCL starter  code for weighted decision in calculator shell. 

A piano teacher rates three students based on attendence and skills on a half and half basis. Student a has an attendence of  22.0 and a skill score of 53.0 , giving 0.50*22.0+ 0.50*53.0, 37.5 weighted score.  Student b has an attendence of  46.0 and a skill score of 56.0 , giving 0.50*46.0+ 0.50*56.0, 51.0 weighted score.   Student c has an attendence of  54.0 and a skill score of 27, giving 0.50*54.0+ 0.50*27.0, 40.5 weighted score.   The highest rating was  max < a)37.5   b)51.0 c)40.5 >= 51 max rating of weighted scores.

----

----
**Pseudocode Section**
======
       # using pseudocode 
       # possible problem instances,  
      initialize algorithm_result = 1.
      check algorithm 
      f(solution) =? initial product
      check_sum = a+b+c+d+e = original real estate
      set answers and printout with resulting values 
      pseudocode: need test cases > small,medium, giant 
      pseudocode: need testcases within range of expected operation.
      pseudocode: are there any cases too small or large to be solved?
======
***Testcases Section***  

In planning any software, it is advisable to gather a number of testcases to check the results of the program. The math for the testcases can be checked by pasting statements in the TCL console. Aside from the TCL calculator display, when one presses the report button on the calculator, one will have console show access to the   capacity  functions (subroutines). 

**** Testcase 1 ****
%|table 1|printed in| tcl wiki format|% 
&| quantity| value| comment, if any|& 
&| 1:|testcase_number | |& 
&| 22.0 :|Attendence score (a)   |   |&
&| 53.0 :|Skills score (a)| |& 
&| 46.0 :|Attendence score (b) | |& 
&| 56.0 :|Skills score (b)| |&
&| 54.0 :|Attendence score (c) | |&
&| 27.0 :|Skills score (c) |  |&
&| 0.5 :|optional: factor usually 0.50  |  |&
&| 37.5 :|score (a) |  |&
&| 51.0 :|score (b) |  |&
&| 40.5 :|score (c) |  |&
&| 43.0 :|average score per item (a+b+c)/3 |  |&
&| 51.0 :|answer: highest score (max fx) |  |&

**** Testcase 2 ****
%|table 2|printed in| tcl wiki format|% 
&| quantity| value| comment, if any|& 
&| 2:|testcase_number | |& 
&| 33.0 :|Attendence score (a)   |   |&
&| 54.0 :|Skills score (a)| |& 
&| 42.0 :|Attendence score (b) | |& 
&| 50.0 :|Skills score (b)| |&
&| 59.0 :|Attendence score (c) | |&
&| 23.0 :|Skills score (c) |  |&
&| 0.5 :|optional: factor usually 0.50  |  |&
&| 43.5 :|score (a) |  |&
&| 46.0 :|score (b) |  |&
&| 41.0 :|score (c) |  |&
&| 43.5 :|average score per item (a+b+c)/3 |  |&
&| 46.0 :|answer: highest score (max fx) |  |&
 
**** Testcase 3 ****
%|table 3|printed in| tcl wiki format|% 
&| quantity| value| comment, if any|& 
&| 3:|testcase_number | |& 
&| 25.0 :|Attendence score (a)   |   |&
&| 50.0 :|Skills score (a)| |& 
&| 45.0 :|Attendence score (b) | |& 
&| 50.0 :|Skills score (b)| |&
&| 64.0 :|Attendence score (c) | |&
&| 25.0 :|Skills score (c) |  |&
&| 0.5 :|optional: factor usually 0.50  |  |&
&| 37.5 :|score (a) |  |&
&| 47.5 :|score (b) |  |&
&| 44.5 :|score (c) |  |&
&| 43.166 :|average score per item (a+b+c)/3 |  |&
&| 47.5 :|answer: highest score (max fx) |  |&

----
***Screenshots Section***
****figure 1.****
[Weighted Decision and eTCL demo example calculator screenshiot]
---- 
***References:***
   * Taking a Weighted Average, Dr Math, mathforum.org/dr.math, dated 03/20/2003 
   * google <Weighted Average, Dr Math>, mathforum.org/dr.math
   * Using Weighted Criteria to Make Decisions, Dr Math>, mathforum.org/dr.math, dated 07/18/2008 
   * google <Weighted sum product model Decision >
   * [Oneliner's Pie in the Sky] 
   * [One Liners] 
   * [Category Algorithm]
   * [Babylonian Number Series and eTCL demo example calculator]
   * [Brahmagupta Area of Cyclic Quadrilateral and eTCL demo example calculator]
   * [Gauss Approximate Number of Primes and eTCL demo example calculator]

**Appendix Code**

***appendix TCL programs and scripts ***

======
        # pretty print from autoindent and ased editor
        # Weighted Decision calculator
        # written on Windows XP on eTCL
        # working under TCL version 8.5.6 and 1.0.1
        # gold on TCL WIKI, 25feb2017
        package require Tk
        package require math::numtheory
        namespace path {::tcl::mathop ::tcl::mathfunc math::numtheory }
        set tcl_precision 17
        frame .frame -relief flat -bg aquamarine4
        pack .frame -side top -fill y -anchor center
        set names {{} { Attendence score (a) :} }
        lappend names { Skills score (a) :}
        lappend names { Attendence score (b) : }
        lappend names { Skills score (b) : }
        lappend names { Attendence score (c) :}
        lappend names { Skills score (c) : }
        lappend names { optional: factor usually 0.5  }
        lappend names { answers: highest score (max fx)  :} 
        foreach i {1 2 3 4 5 6 7 8} {
            label .frame.label$i -text [lindex $names $i] -anchor e
            entry .frame.entry$i -width 35 -textvariable side$i
            grid .frame.label$i .frame.entry$i -sticky ew -pady 2 -padx 1 }
        proc about {} {
            set msg "Calculator for Weighted Decision 
            from TCL WIKI,
            written on eTCL "
            tk_messageBox -title "About" -message $msg } 
       proc calculate {     } {
            global answer2
            global side1 side2 side3 side4 side5
            global side6 side7 side8 
            global a_score b_score c_score average_score
            global testcase_number 
            incr testcase_number 
            set side1 [* $side1 1. ]
            set side2 [* $side2 1. ]
            set side3 [* $side3 1. ]
            set side4 [* $side4 1. ]
            set side5 [* $side5 1. ]
            set side6 [* $side6 1. ]
            set side7 [* $side7 1. ]
            set side8 [* $side8 1. ] 
            # initialize placeholder answer
            set maximum_score_rating 1.
            set score_rating 0.5
            set score_rating $side7
            set a_score [+ [* $score_rating $side1 ] [* $score_rating $side2 ] ]
            set b_score [+ [* $score_rating $side3 ] [* $score_rating $side4 ] ]
            set c_score [+ [* $score_rating $side5 ] [* $score_rating $side6 ] ]
            set average_score [/ [+ $a_score $b_score $c_score ] 3. ]
            set maximum_score_rating [max $a_score $b_score $c_score ]
            set side8 $maximum_score_rating
                    }
        proc fillup {aa bb cc dd ee ff gg hh} {
            .frame.entry1 insert 0 "$aa"
            .frame.entry2 insert 0 "$bb"
            .frame.entry3 insert 0 "$cc"
            .frame.entry4 insert 0 "$dd"
            .frame.entry5 insert 0 "$ee"
            .frame.entry6 insert 0 "$ff" 
            .frame.entry7 insert 0 "$gg"
            .frame.entry8 insert 0 "$hh" 
             }
        proc clearx {} {
            foreach i {1 2 3 4 5 6 7 8 } {
                .frame.entry$i delete 0 end } }
        proc reportx {} {
            global side1 side2 side3 side4 side5
            global side6 side7 side8
            global a_score b_score c_score average_score
            global testcase_number 
            console show;
            puts "%|table $testcase_number|printed in| tcl wiki format|% "
            puts "&| quantity| value| comment, if any|& "
            puts "&| $testcase_number:|testcase_number | |& "
            puts "&| $side1 :|Attendence score (a)   |   |&"
            puts "&| $side2 :|Skills score (a)| |& "  
            puts "&| $side3 :|Attendence score (b) | |& "
            puts "&| $side4 :|Skills score (b)| |&"
            puts "&| $side5 :|Attendence score (c) | |&"
            puts "&| $side6 :|Skills score (c) |  |&"
            puts "&| $side7 :|optional: factor usually 0.50  |  |&"
            puts "&| $a_score :|score (a) |  |&" 
            puts "&| $b_score :|score (b) |  |&" 
            puts "&| $c_score :|score (c) |  |&" 
            puts "&| $average_score :|average score per item (a+b+c)/3 |  |&" 
            puts "&| $side8 :|answer: highest score (max fx) |  |&" 
            }
        frame .buttons -bg aquamarine4
        ::ttk::button .calculator -text "Solve" -command { calculate   }
        ::ttk::button .test2 -text "Testcase1" -command {clearx;fillup 22.  53.   46. 56.  54.  27. 0.5 51.0}
        ::ttk::button .test3 -text "Testcase2" -command {clearx;fillup 33.  54.  42.  50.  59.  23. .5 46.0 }
        ::ttk::button .test4 -text "Testcase3" -command {clearx;fillup 25. 50. 45. 50. 64.  25. 0.5 47.5 }
        ::ttk::button .clearallx -text clear -command {clearx }
        ::ttk::button .about -text about -command {about}
        ::ttk::button .cons -text report -command { reportx }
        ::ttk::button .exit -text exit -command {exit}
        pack .calculator  -in .buttons -side top -padx 10 -pady 5
        pack  .clearallx .cons .about .exit .test4 .test3 .test2   -side bottom -in .buttons
        grid .frame .buttons -sticky ns -pady {0 10}
               . configure -background aquamarine4 -highlightcolor brown -relief raised -border 30
        wm title . "Weighted Decision Calculator"   
======
----
*** Pushbutton Operation***

For the push buttons, the recommended procedure is push testcase and fill frame, change first three entries etc, push solve, and then push report. Report allows copy and paste from console. 

For  testcases in a computer session, the eTCL calculator increments a new testcase number internally, eg. TC(1), TC(2) , TC(3) , TC(N). The testcase number is internal to the calculator and will not be printed until the report button is pushed for the current result numbers. The current result numbers will be cleared on the next solve button.   The command { calculate; reportx  } or { calculate ; reportx; clearx  } can be added or changed to report automatically. Another wrinkle would be to print out the current text,  delimiters,  and numbers in a TCL wiki style table as

======
  puts " %| testcase $testcase_number | value| units |comment |%"
  puts " &| volume| $volume| cubic meters |based on length $side1 and width $side2   |&"  
======
----[gold] This page is copyrighted under the TCL/TK license terms, [http://tcl.tk/software/tcltk/license.html%|%this license]. 

**Comments Section**

<<discussion>>
Please place any comments here, Thanks.

                              
<<categories>> Numerical Analysis | Toys | Calculator | Mathematics| Example| Toys and Games | Games | Application | GUI
----
<<categories>> Development | Concept| Algorithm