**Capsule Surface Area & Volume 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]
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<<TOC>>
[gold] Here is some eTCL starter code for Brahmagupeometric surface Aarea and volume of Cyclica Qucadripsulateral.
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***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 :|radius meters| |&
&| 1.0 :|side length meters | |&
&| 1.0 :|optional | |&
&| 1.0 :|optional | |&
&| 1.0 :|optional | |&
&| 6.2831853071795862 :|answers: capsule circumference meters | |&
&| 18.849555921538759 :|capsule surface area meters squared | |&
&| 7.3303828583761828 :|capsule volume meters cubed| |&
**** Testcase 2 ****
%|table 2|printed in| tcl wiki format|%
&| quantity| value| comment, if any|&
&| 2:|testcase_number | |&
&| 2.0 :|radius meters| |&
&| 2.0 :|side length meters | |&
&| 1.0 :|optional | |&
&| 1.0 :|optional | |&
&| 1.0 :|optional | |&
&| 12.566370614359172 :|answers: capsule circumference meters | |&
&| 75.398223686155035 :|capsule surface area meters squared | |&
&| 58.643062867009462 :|capsule volume meters cubed| |&
**** Testcase 3 ****
%|table 3|printed in| tcl wiki format|%
&| quantity| value| comment, if any|&
&| 3:|testcase_number | |&
&| 3.0 :|radius meters| |&
&| 3.0 :|side length meters | |&
&| 1.0 :|optional | |&
&| 1.0 :|optional | |&
&| 1.0 :|optional | |&
&| 18.849555921538759 :|answers: capsule circumference meters | |&
&| 169.64600329384882 :|capsule surface area meters squared | |&
&| 197.92033717615698 :|capsule volume meters cubed| |&
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***Screenshots Section***
****figure 1.****[BrCahmaguptsule Surface Area of& CycVolic Quadrilatmeral and eTCL demo example screenshot]
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***References:***
* [Oneliner's Pie in the Sky]
* [One Liners]
* [A little slide-rule]
* [What if you do not have exp()?]
* [Category Algorithm]
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**Appendix Code**
***appendix TCL programs and scripts ***
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# pretty print from autoindent and ased editor
# Capsule Volume calculator
# written on Windows XP on eTCL
# working under TCL version 8.5.6 and eTCL 1.0.1
# gold on TCL WIKI, 5jan2017
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 {{} {radius meters :} }
lappend names {side length meters:}
lappend names {optional: }
lappend names {optional: }
lappend names {optional:}
lappend names {answers: capsule circumference meters : }
lappend names {capsule surface area meters squared : }
lappend names {capsule volume meters cubed:}
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 Capsule Volume
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
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. ]
proc pi {} {expr acos(-1)}
set radius $side1
set side_length $side2
set capsule_circumference [* 2. [pi] $radius ]
set capsule_surface_area [* 2. [pi] $radius [+ [* 2. $radius ] $side_length ]]
set capsule_vol [* [pi] $radius $radius [+ [* [/ 4. 3. ] $radius] $side_length ]]
set side6 $capsule_circumference
set side7 $capsule_surface_area
set side8 $capsule_vol
}
proc fillup {aa bb cc dd ee ff gg hh} {
.frame.entry1 insert 0 "$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 :|radius meters| |&"
puts "&| $side2 :|side length meters | |& "
puts "&| $side3 :|optional | |& "
puts "&| $side4 :|optional | |&"
puts "&| $side5 :|optional | |&"
puts "&| $side6 :|answers: capsule circumference meters | |&"
puts "&| $side7 :|capsule surface area meters squared | |&"
puts "&| $side8 :|capsule volume meters cubed| |&"
}
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 6.283 18.849 7.330}
::ttk::button .test3 -text "Testcase2" -command {clearx;fillup 2.0 2.0 1.0 1.0 1.0 12.566 75.398 58.643}
::ttk::button .test4 -text "Testcase3" -command {clearx;fillup 3.0 3. 1.0 1.0 1.0 18.849 169.646 97.920 }
::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 . "Capsule Volume Calculator"
======
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*** 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
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puts " %| testcase $testcase_number | value| units |comment |%"
puts " &| volume| $volume| cubic meters |based on length $side1 and width $side2 |&"
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[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.
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