Sumerian Date Tree Production and eTCL Slot Calculator Demo Example

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gold Here is some eTCL starter code for calculating productiion of ancient Sumerian date trees. The impetus for these calculations was checking prices and tree production in some cuneiform texts and modern replicas. Most of the testcases involve replicas or models, using assumptions and rules of thumb.

Pseudocode and Equations

  area = [* length width ] # square meters
  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, Date Prices


Table 2, prices & equivalencies for picking dates

Example of Sumerian calculations


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

Sumerian math problem to metric table printed in tcl wiki format

Testcase 2

Orchard House table printed in tcl wiki format

Testcase 3

average dates from Orchard House table printed in tcl wiki format
quantity value comment, if any
testcase number 3

Testcase 4

average farm (small) table printed in tcl wiki format
quantity value comment, if any
testcase number 4

Screenshots Section

figure 1.

http://s10.postimg.org/o06sn7kex/Image261.gif


References:

  • Cuneiform clay tablet, fruit production, Brown University, Museum Object 39
  • Brown University, [L1 ]
  • phoenix dates [L2 ]
  • Origins of Fruit Growing [L3 ]
  • Robert Englund, UCLA cdli.ucla.edu/staff/englund/publications/englund2012a.pdf
  • Ur III Tablets in the Valdosta State University, search on cdli
  • Cuneiform Digital Library Journal, search on Equivalency Values
  • Ur III Equivalency Values[L4 ]
  • Especially, the Ur III Equivalency Values for dates sections.
  • 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 date tree production calculator
        # written on Windows XP on eTCL
        # working under TCL version 8.5.6 and eTCL 1.0.1
        # gold on TCL WIKI, 5jun2014
        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 {{} {field length meters:} }
        lappend names {field width meters:}
        lappend names {set of trees: }
        lappend names {liters of dates:}
        lappend names {field area:}
        lappend names {liters per field area l/m*m: }
        lappend names {liters per tree  : }
        lappend names {percent off quota : }
        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 Date Tree                     Production 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 area
            global testcase_number
            incr testcase_number 
        set field_length [* $side1 1. ]
        set field_width   [* $side2 1. ]
        set field_trees  [* $side3 1. ]
        set field_liters   [* $side4 1. ]
        set field_area [*  $field_length  $field_width ]
        set liters_per_area [/ $field_liters $field_area ]
        set liters_per_tree [/ $field_liters $field_trees ] 
        set tree_percentage [* 100. [abs [- 1. [/ .18 $liters_per_tree ]]]]
        set side5 $field_area
        set side6 $liters_per_area
        set side7 $liters_per_tree
        set side8 $tree_percentage  }
        proc fillup {aa bb cc dd ee ff gg hh} {
            .frame.entry1 insert 0 "$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 "&| field length meters:|meters | $side1 |&"
            puts "&| field width meters:|meters | $side2|& "
            puts "&| trees in set (sample) :| set|$side3|& "
            puts "&| liters of dates:| liters|$side4 |&"
            puts "&| field area:| sq meters|$side5 |&"
            puts "&| liters per area:| sq meters|$side6 |&"
            puts "&| liters per tree:| sq meters|$side7 |&"
            puts "&| percent over/under average: | percent|$side8 |&"
             }
        frame .buttons -bg aquamarine4
        ::ttk::button .calculator -text "Solve" -command { calculate   }
        ::ttk::button .test2 -text "Testcase1" -command {clearx;fillup 100. 100. 36. 6.1  1000.1 .00061 0.169 6.6}
        ::ttk::button .test3 -text "Testcase2" -command {clearx;fillup 1000. 1000. 36.01 5.501  1.01E6 5.5E-6 0.152 17.01 }
        ::ttk::button .test4 -text "Testcase3" -command {clearx;fillup 60.2 60.8 36.2 6.1  3660.1 5.5E-6 0.16 6.2 }
        ::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 Date Tree Production 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 (which 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   |&"  

Comments Section

Please place any comments here, Thanks.

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