Sumerian Approximate Area of Quadrilateral and eTCL demo example calculator, numerical analysis  edit

Page contents

 Sumerian Approximate Area of Quadrilateral and eTCL demo example calculator, 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

Testcases Section

Testcase 1

Testcase 2

Testcase 3

Screenshots Section

figure 1.

References:

• Mathematical Treasure: Old Babylonian Area Calculation, uses ancient method
• Frank J. Swetz , Pennsylvania State University
• Wikipedia, see temple of Edfu, area method used as late as 200 BC in Egypt.
• Oneliner's Pie in the Sky
• One Liners
• Category Algorithm
• [Babylonian Number Series and eTCL demo example calculator]
• Brahmagupta Area of Cyclic Quadrilateral and eTCL demo example calculator
• Gauss Approximate Number of Primes and eTCL demo example calculator
• Land surveying in ancient Mesopotamia, M. A. R. Cooper

Appendix Code edit

appendix TCL programs and scripts

        # pretty print from autoindent and ased editor
        # Approximate Area Quadrilateral calculator
        # written on Windows XP on eTCL
        # working under TCL version 8.5.6 and eTCL 1.0.1
        # gold on TCL WIKI, 15jan2017
        package require Tk
        package require math::numtheory
        namespace path {::tcl::mathop ::tcl::mathfunc math::numtheory }
        set tcl_precision 17
        frame .frame -relief flat -bg aquamarine4
        pack .frame -side top -fill y -anchor center
        set names {{} {side a meters :} }
        lappend names {side b meters:}
        lappend names {side c meters: }
        lappend names {side d meters: }
        lappend names {inheritance sections:}
        lappend names {answers: quad semiperimeter meters : }
        lappend names {quad perimeter meters : }
        lappend names {approx_quad_area meters squared:} 
        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 Approximate Area Quadrilateral 
            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 reference_factor flag
            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 flag 0.
            set inheritance_sections $side5
            set perimeter [+ $side1 $side2 $side3 $side4 ]
            set reference_factor [/ [+ [* $side1 $side1 ] [* $side2 $side2 ]] [+ [* $side3 $side3 ] [* $side4 $side4 ]]]
            if  { $reference_factor > 1.1} { set flag 1. }
            if  { $reference_factor < 0.9} { set flag 1. }
            set semip [* $perimeter .5 ]
            set cyclic_quad_area [sqrt [* [- $semip $side1 ] [- $semip $side2 ] [- $semip $side3 ] [- $semip $side4 ]]]
            set approx_quad_area [* [* .5 [+ $side1 $side3 ]] [* .5 [+ $side2 $side4 ] ] ]
            # calculation nulled if reference_factor offset from unity 
            if { $flag > 0 } { set approx_quad_area 0 }
            set side7 $perimeter
            set side8 $approx_quad_area    
                    }
        proc fillup {aa bb cc dd ee ff gg hh} {
            .frame.entry1 insert 0 "$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 reference_factor flag
            console show;
            puts "%|table $testcase_number|printed in| tcl wiki format|% "
            puts "&| quantity| value| comment, if any|& "
            puts "&| $testcase_number:|testcase_number | |& "
            puts "&| $side1 :|side a meters|   |&"
            puts "&| $side2 :|side b meters   | |& "  
            puts "&| $side3 :|side c meters | |& "
            puts "&| $side4 :|side d meters | |&"
            puts "&| $side5 :|answers: inheritance section number  | |&"
            puts "&| $side6 :|quad semiperimeter  meters |  |&"
            puts "&| $side7 :|quad perimeter meters  |  |&"
            puts "&| $reference_factor :|reference factor  |  |&"
            puts "&| $flag :| flag = 1 and calc nulled, if reference_factor |= 1  |  |&"
            puts "&| [/ $side8 $side5 ] :|inheritance section meters squared |  |&"
            puts "&| $side8 :|approx_quad_area meters squared |  |&" 
            }
        frame .buttons -bg aquamarine4
        ::ttk::button .calculator -text "Solve" -command { calculate   }
        ::ttk::button .test2 -text "Testcase1" -command {clearx;fillup 1.0 1.  1.0 1.0  1.0  2. 4. 1.}
        ::ttk::button .test3 -text "Testcase2" -command {clearx;fillup 2.0 2.0 2.0 2.0  1.0  4. 8. 4. }
        ::ttk::button .test4 -text "Testcase3" -command {clearx;fillup 3.0 3.  3.0 3.0  1.0  6. 12. 9. }
        ::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 . "Approximate Area Quadrilateral Calculator"   ======

Pushbutton Operation

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

this license

Comments Section edit

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