Sumerian Porters Pay Formula and eTCL Slot Calculator Demo Example, numerical analysis  edit

Page contents

  Sumerian Porters Pay Formula and eTCL Slot Calculator Demo Example, numerical analysis  

 Introduction

 Testcases Section

  Testcase 1 

  Testcase 2 

  Testcase 3 

 Screenshots Section

 figure 1.

 References:

 Appendix Code

 appendix TCL programs and scripts 

  Pushbutton Operation

 Comments Section

Introduction edit

# following statements can be pasted into eTCL console
set silas_convert_from_tablet_decimal [ eval expr 5.+1./2.+3./60.+(1./3.)*(1./60.) ] # 5.5555 liters of  grain
set silas_calculation_decimal  [ eval expr (10.*5.*30.)/(9.*30.)]  # 5.5555 liters of grain 
set numbers_porters [ eval expr (39000.)/(9.*60.)]  # 72 porters
set project_grain_porters [eval expr (10.*39000.)/(9.*60.)] # 722 liters

set  new_pay [eval expr (2.*23.*360.)/(45.*360.)] # 1.0222 liters grain

Testcases Section

Testcase 1

Testcase 2

Testcase 3

Screenshots Section

figure 1.

References:

• Joran Friberg (2001) Bricks and mud in metro-mathematical cuneiform texts
• A remarkable collection of Babylonian mathematical texts By Joran Friberg
• Eleanor Robson, Mesopotamian Mathematics, 2100-1600 BC (Oxford, 1999)
• Robson, Eleanor, Mesopotamian Mathematics, 2100-1600BCE,Oxford 1999
• Horowitz, Wayne, Late Babylonian Tablet CBS1766, Hebrew University
• Steele, J.M. Celestial Measurement in Bablylonian Astronomy,Annals of Science,2007
• Mathematical Cuneiform Texts, Neugebauer and A. Sachs, American Oriental Society, 1945
• Friberg 1987-90:555,Firberg on tablet BM15285
• Eclipse Prediction and the Length of the Saros in
• Babylonian Astronomy LIS BRACK-BERNSEN∗AND JOHN M. STEELE
• Celestial Measurement in Babylonian Astronomy, J. M. STEELE, University of Durham
• Amazing Traces of a Babylonian Origin in Greek Mathematics, Jöran Friberg and Joachim Marzahn
• The area and the side i added: some old Babylonian geometry, duncan j. Melville
• Sumerian Circular Segment Coefficients and Calculator Demo Example
• Sumerian Coefficients in the Pottery Factory and Calculator Demo Example
• Sumerian Pottery Vessel & Clay Mass and eTCL Slot Calculator Demo Example , numerical analysis
• Mathematics hidden behind the two coefficients of Babylonian geometry, kazuo muroi
• Especially oven/kiln problem in YBC7997, area of ring annulus complements bullseye figure.
• Sumerian Barge & Cargo Calculator and eTCL Slot Calculator Demo Example, numerical analysis
• Sumerian Coefficients at the Weavers Factory and eTCL Slot Calculator Demo Example
• Sumerian Construction Rates and eTCL Slot Calculator Demo Example
• Sumerian Workcrew & Payroll and eTCL Slot Calculator Demo Example, numerical analysis

Appendix Code edit

appendix TCL programs and scripts

        # pretty print from autoindent and ased editor
        # Sumerian Porters Pay calculator
        # written on Windows XP on eTCL
        # working under TCL version 8.5.6 and eTCL 1.0.1
        # gold on TCL WIKI, 5may2016
        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 {{} {porters load quantity:} }
        lappend names {porters distance meters :}
        lappend names {optional, porters standard load kilograms: }
        lappend names {optional, porters standard distance meters:}
        lappend names {optional, porters standard pay liters:}
        lappend names {answers:  porters day integer or fraction: }
        lappend names {porters pay liters grain: }
        lappend names {porters pay silver pieces :}
        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 Porters Pay 
            from TCL WIKI,
            written on eTCL "
            tk_messageBox -title "About" -message $msg } 
       proc pi {} {expr acos(-1)}       
       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 side6 [* $side6 1. ]
            set side7 [* $side7 1. ]
            set side8 [* $side8 1. ]
            set worked_load  $side1  
            set worked_distance $side2 
            set standard_load $side3
            set standard_distance $side4
            set standard_pay  $side5
            set day_fraction 1.
            set side7 [/ [* $standard_pay  $worked_load $worked_distance] [* $standard_load $standard_distance ] ] 
            set grain_pay $side7  
            set day_fraction [/ $grain_pay $standard_pay ]
            set side6 $day_fraction
            set silver [* [/ $grain_pay 2. ] [/ 1. 30. ]] 
            set side8 $silver       }               
        proc fillup {aa bb cc dd ee ff gg hh} {
            .frame.entry1 insert 0 "$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 :|porters load kilograms|   |&"
            puts "&| $side2 :|porters distance meters| |& "
            puts "&| $side3 :|porters standard load kilograms| |& "
            puts "&| $side4 :|porters standard distance kilometers |      |&"
            puts "&| $side5 :|porters standard pay liters  | usually 2  |&"
            puts "&| $side6 :|porters day integer or fraction |  |&"
            puts "&| $side7 :|porters pay liters grain|  |&"
            puts "&| $side8 :|porters pay silver pieces|  |&" 
            }  
        frame .buttons -bg aquamarine4
        ::ttk::button .calculator -text "Solve" -command { calculate   }
        ::ttk::button .test2 -text "Testcase1" -command {clearx;fillup 5. 30.0 9.0 30.0  10.0 1.0 5.5 0.09}
        ::ttk::button .test3 -text "Testcase2" -command {clearx;fillup 650. 30.0 9.0 30.0   10.0  1.0 5.5 0.09 }
        ::ttk::button .test4 -text "Testcase3" -command {clearx;fillup 23. 360.0 45.0 360.0  2.0 0.51  1.02 0.017 }
        ::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 Porters Pay Calculator"

Pushbutton Operation

  puts " %| testcase $testcase_number | value| units |comment |%"
  puts " &| volume| $volume| cubic meters |based on length $side1 and width $side2   |&"  

this license

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