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Body
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INNER {returnImm {Unknow state transition: LINE -> END} {}} CALL {my render_wikit {Sumerian Approximate Area Quadrilateral and eTCL Slot Calculator Demo Example , numerical analysis } {**Sumerian Approximate Area of Quadrilateral and eTCL demo example calculator, 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]
----
<<TOC>>
[gold] Here is some eTCL starter code for Sumerian approximate area of quadrilateral.
This approximate method for quadrilateral area was multipling the averages of opposite sides, area =~ ((s1+s3)*.5)*((s2+s4)*.5). This method or formula was apparently used in some math problems, brother inheritance problems, and court inheritance problems. This formula is not exact for area, but the issue here is to obtain the equivalent numbers in the ancient texts. Some of the brother inheritance problems called for equal inheritance for some number of brothers, area / N1. Other brother inheritance problems called for proportional schemes.
----
***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 ****
%|table 1|printed in| tcl wiki format|%
&| quantity| value| comment, if any|&
&| 1:|testcase_number | |&
&| 1.0 :|side a meters| |&
&| 1.0 :|side b meters | |&
&| 1.0 :|side c meters | |&
&| 1.0 :|side d meters | |&
&| 1.0 :|answers: inheritance section number | |&
&| 2.0 :|quad semiperimeter meters | |&
&| 4.0 :|quad perimeter meters | |&
&| 1.0 :|inheritance section meters squared | |&
&| 1.0 :|approx_quad_area meters squared | |&
**** Testcase 2 ****
%|table 2|printed in| tcl wiki format|%
&| quantity| value| comment, if any|&
&| 2:|testcase_number | |&
&| 2.0 :|side a meters| |&
&| 2.0 :|side b meters | |&
&| 2.0 :|side c meters | |&
&| 2.0 :|side d meters | |&
&| 1.0 :|answers: inheritance section number | |&
&| 4.0 :|quad semiperimeter meters | |&
&| 8.0 :|quad perimeter meters | |&
&| 4.0 :|inheritance section meters squared | |&
&| 4.0 :|approx_quad_area meters squared | |&
**** Testcase 3 ****
%|table 3|printed in| tcl wiki format|%
&| quantity| value| comment, if any|&
&| 3:|testcase_number | |&
&| 3.0 :|side a meters| |&
&| 3.0 :|side b meters | |&
&| 3.0 :|side c meters | |&
&| 3.0 :|side d meters | |&
&| 1.0 :|answers: inheritance section number | |&
&| 6.0 :|quad semiperimeter meters | |&
&| 12.0 :|quad perimeter meters | |&
&| 9.0 :|inheritance section meters squared | |&
&| 9.0 :|approx_quad_area meters squared | |&
----
***Screenshots Section***
****figure 1.****
[Sumerian Approximate Area Quadrilateral and eTCL Slot Calculator screenshot]
----
***References:***
* [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]
----
**Appendix Code**
***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***
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 |&"
======
----
[gold] This page is copyrighted under the TCL/TK license terms, [http://tcl.tk/software/tcltk/license.html%|%this license].
**Comments Section**
<<discussion>>
Please place any comments here, Thanks.
<<categories>> Numerical Analysis | Toys | Calculator | Mathematics| Example| Toys and Games | Games | Application | GUI} regexp2} CALL {my render {Sumerian Approximate Area Quadrilateral and eTCL Slot Calculator Demo Example , numerical analysis } {**Sumerian Approximate Area of Quadrilateral and eTCL demo example calculator, 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]
----
<<TOC>>
[gold] Here is some eTCL starter code for Sumerian approximate area of quadrilateral.
This approximate method for quadrilateral area was multipling the averages of opposite sides, area =~ ((s1+s3)*.5)*((s2+s4)*.5). This method or formula was apparently used in some math problems, brother inheritance problems, and court inheritance problems. This formula is not exact for area, but the issue here is to obtain the equivalent numbers in the ancient texts. Some of the brother inheritance problems called for equal inheritance for some number of brothers, area / N1. Other brother inheritance problems called for proportional schemes.
----
***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 ****
%|table 1|printed in| tcl wiki format|%
&| quantity| value| comment, if any|&
&| 1:|testcase_number | |&
&| 1.0 :|side a meters| |&
&| 1.0 :|side b meters | |&
&| 1.0 :|side c meters | |&
&| 1.0 :|side d meters | |&
&| 1.0 :|answers: inheritance section number | |&
&| 2.0 :|quad semiperimeter meters | |&
&| 4.0 :|quad perimeter meters | |&
&| 1.0 :|inheritance section meters squared | |&
&| 1.0 :|approx_quad_area meters squared | |&
**** Testcase 2 ****
%|table 2|printed in| tcl wiki format|%
&| quantity| value| comment, if any|&
&| 2:|testcase_number | |&
&| 2.0 :|side a meters| |&
&| 2.0 :|side b meters | |&
&| 2.0 :|side c meters | |&
&| 2.0 :|side d meters | |&
&| 1.0 :|answers: inheritance section number | |&
&| 4.0 :|quad semiperimeter meters | |&
&| 8.0 :|quad perimeter meters | |&
&| 4.0 :|inheritance section meters squared | |&
&| 4.0 :|approx_quad_area meters squared | |&
**** Testcase 3 ****
%|table 3|printed in| tcl wiki format|%
&| quantity| value| comment, if any|&
&| 3:|testcase_number | |&
&| 3.0 :|side a meters| |&
&| 3.0 :|side b meters | |&
&| 3.0 :|side c meters | |&
&| 3.0 :|side d meters | |&
&| 1.0 :|answers: inheritance section number | |&
&| 6.0 :|quad semiperimeter meters | |&
&| 12.0 :|quad perimeter meters | |&
&| 9.0 :|inheritance section meters squared | |&
&| 9.0 :|approx_quad_area meters squared | |&
----
***Screenshots Section***
****figure 1.****
[Sumerian Approximate Area Quadrilateral and eTCL Slot Calculator screenshot]
----
***References:***
* [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]
----
**Appendix Code**
***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***
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 |&"
======
----
[gold] This page is copyrighted under the TCL/TK license terms, [http://tcl.tk/software/tcltk/license.html%|%this license].
**Comments Section**
<<discussion>>
Please place any comments here, Thanks.
<<categories>> Numerical Analysis | Toys | Calculator | Mathematics| Example| Toys and Games | Games | Application | GUI}} CALL {my revision {Sumerian Approximate Area Quadrilateral and eTCL Slot Calculator Demo Example , numerical analysis }} CALL {::oo::Obj4862072 process revision/Sumerian+Approximate+Area+Quadrilateral+and+eTCL+Slot+Calculator+Demo+Example+%2C+numerical+analysis+} CALL {::oo::Obj4862070 process}
-errorcode
NONE
-errorinfo
Unknow state transition: LINE -> END
while executing
"error $msg"
(class "::Wiki" method "render_wikit" line 6)
invoked from within
"my render_$default_markup $N $C $mkup_rendering_engine"
(class "::Wiki" method "render" line 8)
invoked from within
"my render $name $C"
(class "::Wiki" method "revision" line 31)
invoked from within
"my revision $page"
(class "::Wiki" method "process" line 56)
invoked from within
"$server process [string trim $uri /]"
-errorline
4