Capsule_Surface_Area_&_Volume_Calculator_numerical_analysis

Capsule_Surface_Area_&_Volume on TCL

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Title: Capsule_Surface_Area_&_Volume on TCL

Preface

gold Here are some calculations using TCL expressions.


Introduction

Here are some TCL calculations for the Capsule Surface Area. The original math problem used units of meters, but the units cancel out in the calculator and any consistent units might be used like inches, cubits, or millimeters for length. The capsule surface area and volume. should find a use in medicine, as some medicine is supplied in gel capsules. Also, some fuel tankers or dairy tanks have a similar capsule shape.

Expressions into TCL.


Testcases are important in development of TCL programs.

Most of the testcases involve experiments or models, using assumptions, and rules of thumb. For the push buttons in the TCL calculator, 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 to conventional texteditor. For testcases in a computer session, the TCL 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 should be cleared either on the clear button or on the next solve button.



Testcases Section

Testcase 1

table 1printed in tcl 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
6.283 :answers: capsule circumference meters
18.849 :capsule surface area meters squared
7.330 :capsule volume meters cubed

Testcase 2

table 1printed in tcl 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
6.283 :answers: capsule circumference meters
18.849 :capsule surface area meters squared
7.330 :capsule volume meters cubed

Testcase 3

table 3printed in tcl 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
18.849 :answers: capsule circumference meters
169.646 :capsule surface area meters squared
197.920 :capsule volume meters cubed


Screenshots Section

figure 1. Calculator Screenshot

Capsule_Surface_Area_&_Volume_Calculator_numerical_analysis screenshot

figure 2. Console Screenshot

Capsule_Surface_Area_&_Volume_Calculator_numerical_analysis console


References:

  • google < capsule volume >
  • Wikipedia search engine < capsule volume >

Pseudocode & Equations Section

        more than one formula for 1) tables and 2) calculator shell
   

Appendix Code

Trial Shell

        # TCL source code follows        
        # pretty print from autoindent and ased editor
        # Capsule Volume calculator V2
        # written on Windows XP on TCL
        # working under TCL version 8.6
        # gold on TCL Club, 25nov2018
        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 "Capsule Volume Calculator V2
            from TCL "
            tk_messageBox -title "About" -message $msg }
        proc self_help {} {
            set msg "Calculator for Capsule Volume V2
            from TCL ,
            # self help listing
            # problem is calculating capsule area and volume
            # 2 givens follows.
            1) radius meters
            2) side length meters
            # >>>>  Copyright Notice  <<<<<
            # This posting, screenshots, and TCL source code is
            # copyrighted under the TCL/TK 8.6 license terms.
            # Editorial rights retained under the TCL/TK license terms
            # and will be defended as necessary in court.
            # >>>>   Push Button Operation <<<<
            # 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 to conventional texteditor. For testcases,
            # the testcase number is internal to the calculator and
            # will not be printed until the report button is pushed
            # for the current result numbers.
            # Where the program defaults are recalled,
            # canvas colors/features/variables/globals/calculations/clear displays
            # are reset prior to calculation  ( in push button list) .
            # Buttons on the calculator are not limited to a single action procedure
            # or single shot. A button command may call multiple statements and procs,
            # effectively a separate program or subprogram installed as
            # a list of procedures in a button. Alternately, the list of procedures
            # need not be installed in a button, but in a separate procedure.
            Conventional text editor formulas or  grabbed from internet
            screens can be pasted into green console.
            Try copy and paste following into green screen console
            set answer [* 1. 2. 3. 4. 5. ]
            returns  120
            # gold on  TCL Club, 15nov2018 "
            tk_messageBox -title "Self_Help" -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;
            console eval {.console config -bg palegreen}
            console eval {.console config -font {fixed 20 bold}}
            console eval {wm geometry . 40x20}
            console eval {wm title . " Capsule Volume Calculator Report   , screen grab and paste from console 2 to texteditor"}
            console eval {. configure -background orange -highlightcolor brown -relief raised -border 30}
            puts "%|table $testcase_number|printed in| tcl 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  18.849 169.646 197.920 }
        ::ttk::button .clearallx -text clear -command {clearx }
        ::ttk::button .self_help -text self_help -command {self_help}
        ::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 .self_help .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 V2"



gold This page is copyrighted under the TCL/TK license terms, this license .

Disclaimers: This page, screenshots, and TCL source code is copyrighted under the TCL/TK license terms. Editorial rights and disclaimers retained under the TCL/TK license terms and will be defended as necessary in court.

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