Sumerian Date Tree Production Calculator and eTCL Slot Calculator Demo Example, numerical analysis
Sumerian Date Tree Production and eTCL Slot Calculator Demo Example
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 and date in your comment with the same courtesy that I will give you. Aside from your courtesy, your wiki MONIKER and date as a signature and minimal good faith of any internet post are the rules of this TCL-WIKI. Its very hard to reply reasonably without some background of the correspondent on his WIKI bio page. Thanks, gold 12Dec2018
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.
In modern volume units, the price of dates during UrIII was one silver piece for 300 to 450 liters of dates.
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 Production
| trees | liters | liters/tree |
|---|---|---|
| 2 | 10 | 5. |
| 11 | 30 | 2.727 |
| 21 | 30 | 1.428 |
| 20 | 25 | 1.25 |
| 25 | 20 | 0.8 |
| 22 | 15 | 0.682 |
| 36 | 10 | 0.277 |
| 36 | 6 | 0.166 |
| 14 | 2 | 0.143 |
| trees | liters | liters/tree |
|---|---|---|
| 7 | 15 | 2.143 |
| 8 | 10 | 1.25 |
| 19 | 5 | 0.555 |
| 9 | 2 | 0.222 |
Table 2, prices & equivalencies for picking dates
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
In modern units the owner planted 45 date palms in 3600 sq. meters. Assuming a square field, this area would be 60 meters on a side. The yield was estimated as 1.35E4 liters.
| table 1 | printed in | tcl wiki format |
|---|---|---|
| quantity | value | comment, if any |
| testcase number: | 1 | |
| field length meters: | meters | 60. |
| field width meters: | meters | 60. |
| trees in set (sample) : | set | 45. |
| liters of dates: | liters | 13500 |
| field area: | sq meters | 3600.0 |
| liters per area: | liters per sq meters | 3.75 |
| liters per tree: | liters | 300.0 |
| percent over/under average: | percent | 99.94 |
Testcase 2
In modern units the owner planted 25 date palms in 2520 sq. meters. Assuming a square field, this area would be 50.2 meters on a side. The yield was omitted, so a previous entry of 6.1 liters was used.
| table 2 | printed in | tcl wiki format |
|---|---|---|
| quantity | value | comment, if any |
| testcase number: | 2 | |
| field length meters: | meters | 50.2 |
| field width meters: | meters | 50.2 |
| trees in set (sample) : | set | 25. |
| liters of dates: | liters | 6.1 |
| field area: | sq meters | 2520.040 |
| liters per area: | liters per sq meters | 0.002 |
| liters per tree: | liters | 0.244 |
| percent over/under average: | percent | 26.229 |
Testcase 3
In modern units the owner planted 250 date palms in 19200 sq. meters. Assuming a square field, this area would be 138.5 meters on a side. The yield was reported as 1.68E4 liters.
| table 3 | printed in | tcl wiki format |
|---|---|---|
| quantity | value | comment, if any |
| testcase number: | 3 | |
| field length meters: | meters | 138.5 |
| field width meters: | meters | 138.5 |
| trees in set (sample) : | set | 250. |
| liters of dates: | liters | 16800 |
| field area: | sq meters | 19182.25 |
| liters per area: | liters per sq meters | 0.875 |
| liters per tree: | liters | 67.2 |
| percent over/under average: | percent | 99.731 |
Screenshots Section
figure 1.
References:
- Cocquerillat, D. 1968. Palmearies et cultures de l’Enna d’Uruk (559–520).
- Revue d'Assyriologie of 1913, V. Scheil
- Pruessner AH. Date culture in ancient Babylonia. The American Journal of Semitic Languages
- Landsberger, B. 1967. The date palm and its by–products according to the cuneiform sources
- Fruit Tree Productivity,[L1 ]
- Trees of Ugarit from cuneiform, [L2 ]
- Cuneiform clay tablet, fruit production, Brown University, Museum Object 39
- Brown University, [L3 ]
- phoenix dates [L4 ]
- Origins of Fruit Growing [L5 ]
- 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[L6 ]
- 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 with your wiki MONIKER and date, Thanks.gold12Dec2018
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