Aryabhat Bhaskara (I) Stick Shadows and eTCL demo example calculator, numerical analysis

Bhaskara Stick Shadows and eTCL demo example calculator, numerical analysis

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gold Here is some eTCL starter code for Bhaskara (I) Stick Shadows. The formula is of historic interest.


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 1printed in tcl wiki format
quantity value comment, if any
1:testcase_number
10.0 :stick1 meters
16.0 :stick2 meters
30.0 :tip_distance meters
12.0 :stick_length meters
1.0 :optional
1.0 :optional
50.0 :upright
60.0 :height

Testcase 2

table 2printed in tcl wiki format
quantity value comment, if any
2:testcase_number
15.0 :stick1 meters
18.0 :stick2 meters
35.0 :tip_distance meters
12.0 :stick_length meters
1.0 :optional
1.0 :optional
175.0 :upright
140.0 :height

Testcase 3

table 3printed in tcl wiki format
quantity value comment, if any
3:testcase_number
11.0 :stick1 meters
17.0 :stick2 meters
32.0 :tip_distance meters
12.0 :stick_length meters
1.0 :optional
1.0 :optional
58.66 :upright
64.0 :height

Screenshots Section

figure 1.

Bhaskara Stick Shadows screenshot

figure 2.

Bhaskara (I) Stick Shadows and eTCL stick diagram


References:


Appendix Code

appendix TCL programs and scripts

        # pretty print from autoindent and ased editor
        # Bhaskara Stick Shadows 
        # 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 {{} {shadow stick1 meters :} }
        lappend names {shadow stick2 meters :}
        lappend names {shadow tip distance d1 meters: }
        lappend names {stick length  meters: }
        lappend names {optional:}
        lappend names {optional: }
        lappend names {upright meters : }
        lappend names {height meters :} 
        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 Bhaskara Stick Shadows 
            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. ]
            set stick1 $side1
            set stick2 $side2
            set tip_distance  $side3
            set stick_length $side4
            set upright [/ [* $tip_distance $stick1 ] [- $stick2 $stick1 ] ]
            set height [/ [* $upright $stick_length ]  $stick1 ]
            set side7 $upright
            set side8 $height    
                    }
        proc fillup {aa bb cc dd ee ff gg hh} {
            .frame.entry1 insert 0 "$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 :|stick1 meters|   |&"
            puts "&| $side2 :|stick2 meters   | |& "  
            puts "&| $side3 :|tip_distance meters | |& "
            puts "&| $side4 :|stick_length meters | |&"
            puts "&| $side5 :|optional  | |&"
            puts "&| $side6 :|optional |  |&"
            puts "&| $side7 :|upright |  |&"
            puts "&| $side8 :|height |  |&" 
            }
        frame .buttons -bg aquamarine4
        ::ttk::button .calculator -text "Solve" -command { calculate   }
        ::ttk::button .test2 -text "Testcase1" -command {clearx;fillup 10.0 16.  30.0 12.0  1.0  1. 50. 60.}
        ::ttk::button .test3 -text "Testcase2" -command {clearx;fillup 15.0 18.0 35.0 12.0  1.0  1. 175. 140. }
        ::ttk::button .test4 -text "Testcase3" -command {clearx;fillup 11.0 17.  32.0 12.0  1.0  1. 58.6 64. }
        ::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 . "Bhaskara  Stick Shadows 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   |&"  

gold12Dec2018. This page is copyrighted under the TCL/TK license terms, this license .

Hidden Comments Section



Please place any comments here with your wiki MONIKER and date, Thanks.gold12Dec2018