Version 2 of Sumerian Workday Time & Account Calculator and eTCL Slot Calculator Demo Example, numerical analysis
Updated 2014-10-11 08:36:39 by goldSumerian Workday Time & Account Calculator with demo examples eTCL 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
- Sumerian Workday Time & Account Calculator with demo examples eTCL numerical analysis
- Appendix Code
- Comments Section
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 metal prices
In the eTCL calculator, kilograms are used with the price ratios of copper (1/90) and tin (1/20) for UrIII. From the trial calculations, these price ratios were transferred correctly to kilograms of silver. The price table contains redundant entries from different texts. However, the trade values or price ratios were undoubtedly different in different eras, countries, and texts.
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] original copper mass + original tin mass - product mass = smelter loss original metal mass - product mass = smelter loss original metal mass * average refining loss in percent= refining loss original metal mass - refining loss = product mass 30 to 40 kg of charcoal for 1 kg of copper, rule of thumb (for smelting copper in raw ore) original metal mass * price ratio in silver 1/N = price in silver 6 bundles or 60 kgs of reeds for 1/2 mana of copper, rule of thumb 120 manas or 60 kgs of reeds for 1/2 mana of copper, rule of thumb bundle of reeds was 20 manas or 10 kg 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 ,
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
Testcase 2
Testcase 3
Screenshots Section
figure 1.
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 |&"
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Comments Section
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