Sumerian Workday Time & Account Calculator with demo examples eTCL numerical analysis

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gold Here is some eTCL starter code for calculating workdays and accounting outlays from Sumerian texts. The impetus for these calculations was checking workday accounts, free time, and credits in some cuneiform texts and modern replicas. Most of the testcases involve replicas or models, using assumptions and rules of thumb.

Ratios and prices

Pseudocode and Equations

  Sumerian price in silver = [/ liters 300.]
  Sumerian price in liters grain = [* silver 300.] 
  # 1 silver piece = 1 gur = 300 liters of grain
  liters = [* volume_in_cubic_cm .001]
  price? = raw materials + labor  +  profit
  price? = raw materials + heat process
  price? = raw materials + labor 
  average price per unit  = revenue  / units sold

Table 1 , Prices


Table 2 , Prices


Table 3 , Prices

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 1printed in tcl wiki format
quantity value comment, if any
testcase number: 1
3.5 :men (guru) 3.5
0.0 :women (geme) 0.0
0.0 :working children (dumu)0.0
0.0 : old workers (sugi) 0.0
30.0 : days time period30.0
105.0 : workdays on books105.0
210.0 : rations (liters) 210.0
0.700 : silver pieces0.700

table 2printed in tcl wiki format
quantity value comment, if any
testcase number: 2
0.0 :men (guru) 0.0
10.0 :women (geme) 10.0
0.0 :working children (dumu)0.0
0.0 : old workers (sugi) 0.0
30.0 : days time period30.0
300.0 : workdays on books300.0
600.0 : rations (liters) 600.0
2.0 : silver pieces2.0

table 3printed in tcl wiki format
quantity value comment, if any
testcase number: 3
0.0 :men (guru) 0.0
0.0 :women (geme) 0.0
5.0 :working children (dumu)5.0
0.0 : old workers (sugi) 0.0
30.0 : days time period30.0
45.0 : workdays on books45.0
90.0 : rations (liters) 90.0
0.30 : silver pieces0.300


Testcase 2


Testcase 3


Screenshots Section

figure 1.

http://s1.postimg.org/7nrwm5lnz/sumerian_bronze_calculator_TCL_WIKI_2.png


References:

  • Robert Englund, UCLA [L1 ]
  • Ur III Tablets in the Valdosta State University, search on cdli
  • Cuneiform Digital Library Journal, search on Equivalency Values
  • Ur III Equivalency Values[L2 ]
  • Especially, the Ur III Equivalency Values and library texts for workday (u4) keyword.
  • The Sumerian keywords search on the cdli
  • are very effective, but major size files to download

Appendix Code

appendix TCL programs and scripts

        # pretty print from autoindent and ased editor
        # Sumerian time & accounting calculator
        # written on Windows XP on eTCL
        # working under TCL version 8.5.6 and eTCL 1.0.1
        # gold on TCL WIKI, 15sep2014
        package require Tk
        namespace path {::tcl::mathop ::tcl::mathfunc}
        frame .frame -relief flat -bg aquamarine4
        pack .frame -side top -fill y -anchor center
        set names {{} {men (guru):} }
        lappend names {women  (geme):}
        lappend names {children working (dumu): }
        lappend names {old (sugi) or disabled:}
        lappend names {accounting period days (typical 30 days) :}
        lappend names {workdays on books : }
        lappend names {grain rations (liters) : }
        lappend names {value in silver :}
        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 Sumerian Time
            & Accounting 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 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 total1 [* $side1 $side5 1. ] 
            set total1 [+ $total1 [* $side2 $side5 1.] ]
            set total1 [+ $total1 [* $side3 $side5 .3] ]
            set total1 [+ $total1 [* $side4 $side5 .5] ]
            set side6 $total1  
            set side7 [* $side6 2. ]
            set side8 [* $side7  [/ 1. 300.]  ]  }
        proc fillup {aa bb cc dd ee ff gg hh} {
            .frame.entry1 insert 0 "$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 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 :|men (guru)| $side1 |&"
            puts "&| $side2 :|women (geme)| $side2|& "
            puts "&| $side3 :|working children (dumu)|$side3|& "
            puts "&| $side4 :| old workers (sugi) |$side4 |&"
            puts "&| $side5  :| days time period|$side5 |&"
            puts "&| $side6  :| workdays on books|$side6 |&"
            puts "&| $side7  :| rations (liters) |$side7 |&"
            puts "&| $side8  :| silver pieces|$side8 |&"
         }
        frame .buttons -bg aquamarine4
        ::ttk::button .calculator -text "Solve" -command { calculate   }
        ::ttk::button .test2 -text "Testcase1" -command {clearx;fillup 3.5 0.0 0.0 0.0  30. 105.0 210.0 0.7}
        ::ttk::button .test3 -text "Testcase2" -command {clearx;fillup 0.0 10.0 0.0 0.0  30. 300. 600. 2. }
        ::ttk::button .test4 -text "Testcase3" -command {clearx;fillup 0.00 0.0 5.0 0.0  30.0 45.0 90.00 0.3 }
        ::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 . "Sumerian Time & Accounting  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, this license .

Comments Section

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