Updated 2017-01-16 15:55:48 by gold

## Bhaskara Stick Shadows and eTCL demo example calculator, numerical analysis  edit

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

## Appendix Code edit

### appendix TCL programs and scripts

```        # pretty print from autoindent and ased editor
# 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
from TCL WIKI,
written on eTCL "
tk_messageBox -title "About" -message \$msg }
proc calculate {     } {
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 .cons -text report -command { reportx }
::ttk::button .exit -text exit -command {exit}
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

### 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   |&"  ```