***Chinese Sea Island Height Slot Calculator Example***
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<<toc>>
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**Introduction**
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[gold] Here is an eTCL script on
to estimate Sea Island Height.
Sea Island Mathmatics Manual
was a Chinese math book by
Liu Hui. (263 CE) This book is of
historical interest in algebra and geometry.
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In planning any software,
one needs a good testcase.
%|quantity|number|units|%
&| height of both poles | 30.|chi|&
&|distance between 2 poles | 6000|chi|&
&| back pole offset distance | 762 |chi|&
&| forward pole offset distance | 738 |chi|&
&| textbook answer was 4 li and 55 steps |7530|chi|&
checking the math by hand calculator:
((pole height * distance between 2 poles)/
(back pole offset distance - forward pole offset distance)) +pole height
((30 chi * 6000 chi)/(762 chi - 738 chi)) +30 chi
equals 7530 chi
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***Screenshots Section***
[Chinese Sea Island Height Slot Calculator Example diagram.png]
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***References:***
* http://wwmat.mat.fc.ul.pt/~jnsilva/Sherlock/china2.pdf
* Liu Hui
* http://www-groups.dcs.st-and.ac.uk/~history/Biographies/Liu_Hui.html
* http://www.hardsumsclub.co.uk/quiz/liu.pdf
* http://en.wikipedia.org/wiki/The_Sea_Island_Mathematical_Manual
* http://math.ucsd.edu/programs/undergraduate/history_of_math_resource/history_papers/math_history_01.pdf
* http://kaleidoscope.cultural-china.com/en/135Kaleidoscope5304.html
* http://math2033.uark.edu/wiki/index.php/Liu_Hui
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****Appendix Code****
****appendix TCL programs and scripts ****
****Pretty Print Version****
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# Pretty print version from autoindent and
# ased editor
# Liu Hui on Sea Island Height
# written on Windows XP on eTCL
# working under TCL version 8.5.6 and eTCL 1.0.1
# gold on TCL WIKI , 18aug2010
frame .frame -relief flat -bg aquamarine4
pack .frame -side top -fill y -anchor center
set names {{} {both poles height:} {distance tween 2 poles:} {back poll offset :} {front pole offset:} {height:} {answer height :} {height/1000:}}
foreach i {1 2 3 4 5 6 7} {
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 Sea Island Height.
from TCL WIKI,
written on eTCL "
tk_messageBox -title "About" -message $msg
}
proc pi {} {expr acos(-1)}
proc seaisland5 { xx1 } {
global side1 side2 side3
global side4 side5 side6 side7
set ss side1
set tt $side2
set xxx [ expr { $side4*[pi]/180. } ]
set side5 [ expr { ((1.*$side1*$side2)/(1.*$side3-1.*$side4))+$side1} ]
set side6 [ expr { ((1.*$side1*$side2)/(1.*$side3-1.*$side4))+$side1} ]
set side7 [ expr { ((1.*$side1*$side2)/(1.*$side3-1.*$side4))+$side1} ]
set side7 [ expr { $side7*.001} ]
return $side7
}
proc calculate { } {
global answer2
global side1 side2 side3 side4 side5 side6 side7
set answer2 [ seaisland5 $side1 ]
set side7 $answer2
}
proc fillup {aa bb cc dd ee ff gg} {
.frame.entry1 insert 0 "$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 "
}
proc clearx {} {
foreach i {1 2 3 4 5 6 7} {
.frame.entry$i delete 0 end
}
}
proc reportx {} {
console show;
puts " "
}
frame .buttons -bg aquamarine4
::ttk::button .calculator -text "Solve" -command { calculate }
::ttk::button .test2 -text "Testcase1" -command {clearx;fillup 30. 6000. 762. 738. 7530. 7530. 7530.}
::ttk::button .test3 -text "Testcase2" -command {clearx;fillup 30. 6000. 762. 738. 7530. 7530. 7530.}
::ttk::button .test4 -text "Testcase3" -command {clearx;fillup 30. 6000. 762. 738. 7530. 7530. 7530. }
::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 . "Sea Island Height"
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