**Brahmagupta Area of Cyclic Quadrilateral 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 and date in your comment with the same courtesy that I will give you. Aside from your courtesy, your wiki MONIKER and date as a signature and minimal good faith of any internet post are the rules of this TCL-WIKI. Its very hard to reply reasonably without some background of the correspondent on his WIKI bio page. Thanks,[gold],12DEC2018 ---- <> ---- **Introduction** [gold] Here is some eTCL starter code for Brahmagupta Area of Cyclic Quadrilateral. ---- ***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 :|side a meters| |& &| 1.0 :|side b meters | |& &| 1.0 :|side c meters | |& &| 1.0 :|side d meters | |& &| 1.0 :|optional | |& &| 2.0 :|answers: semiperimeter meters | |& &| 4.0 :|cyclic quad perimeter meters | |& &| 1.0 :|cyclic_quad_area meters squared | |& **** Testcase 2 **** %|table 2|printed in| tcl wiki format|% &| quantity| value| comment, if any|& &| 2:|testcase_number | |& &| 2.0 :|side a meters| |& &| 2.0 :|side b meters | |& &| 2.0 :|side c meters | |& &| 2.0 :|side d meters | |& &| 1.0 :|optional | |& &| 4.0 :|answers: semiperimeter meters | |& &| 8.0 :|cyclic quad perimeter meters | |& &| 4.0 :|cyclic_quad_area meters squared | |& **** Testcase 3 **** %|table 3|printed in| tcl wiki format|% &| quantity| value| comment, if any|& &| 3:|testcase_number | |& &| 3.0 :|side a meters| |& &| 3.0 :|side b meters | |& &| 3.0 :|side c meters | |& &| 3.0 :|side d meters | |& &| 1.0 :|optional | |& &| 6.0 :|answers: semiperimeter meters | |& &| 12.0 :|cyclic quad perimeter meters | |& &| 9.0 :|cyclic_quad_area meters squared | |& ---- ***Screenshots Section*** ****figure 1.**** [Brahmagupta Area of Cyclic Quadrilateral and eTCL demo example screenshot] ---- ***References:*** * Brahmagupta’s derivation of the area of a cyclic quadrilateral * Satyanad Kichenassamy * Brahmagupta formula,mathworld.wolfram.com/ * Heron's Formula and Brahmagupta's Generalization, mathpages.com * Brahmagupta on wikipedia * goggle "Brahmagupta cyclic quadrilateral " * [Oneliner's Pie in the Sky] * [One Liners] * [A little slide-rule] * [What if you do not have exp()?] * [Category Algorithm] * Asger Aaboe, Episodes from the Early History of Mathematics * G.Emch, M.D.Srinivas, R.Sridharan editors, Contributions to the History of Indian Mathematics * Victor J. Katz, A History of Mathematics * Steven G. Krantz, An Episodic History of Mathematics Mathematical Culture through Problem Solving ---- **Appendix Code** ***appendix TCL programs and scripts *** ====== # pretty print from autoindent and ased editor # Brahmagupta Area of Cyclic Quadrilateral calculator # written on Windows XP on eTCL # working under TCL version 8.6 # gold on TCL, 15dec2016 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 {{} {side a meters :} } lappend names {side b meters:} lappend names {side c meters: } lappend names {side d meters: } lappend names {optional:} lappend names {answers: quad semiperimeter meters : } lappend names {quad perimeter meters : } lappend names {cyclic_quad_area meters squared:} 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 Brahmagupta Area of Cyclic Quadrilateral V2 from TCL, # gold on TCL WIKI, 15dec2016 " tk_messageBox -title "About" -message $msg } proc self_help {} { set msg "Brahmagupta Area of Cyclic Quadrilateral V2 from TCL , # self help listing # problem, Brahmagupta Area of Cyclic Quadrilateral V2 # 4 givens follow. 1) side a meters : 2) side b meters : 3) side c meters : 4) side d meters : # 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 # testcase number is internal to the calculator and # will not be printed until the report button is pushed # for the current result numbers. # >>> copyright notice <<< # This posting, 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. Conventional text editor formulas or grabbed from internet screens can be pasted into green console. # gold on TCL Club, 2Dec2018 " 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. ] set perimeter [+ $side1 $side2 $side3 $side4 ] set semip [* $perimeter .5 ] set cyclic_quad_area [sqrt [* [- $semip $side1 ] [- $semip $side2 ] [- $semip $side3 ] [- $semip $side4 ]]] set side7 $perimeter set side8 $cyclic_quad_area } proc fillup { aa bb cc dd ee ff gg hh} { .frame.entry1 insert 0 "$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 . " Brahmagupta Area of Cyclic Quadrilateral 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 wiki format|% " puts "&| quantity| value| comment, if any|& " puts "&| $testcase_number:|testcase_number | |&" puts "&| $side1 :|side a meters| |&" puts "&| $side2 :|side b meters | |& " puts "&| $side3 :|side c meters | |& " puts "&| $side4 :|side d meters | |&" puts "&| $side5 :|optional | |&" puts "&| $side6 :|answers: semiperimeter meters | |&" puts "&| $side7 :|cyclic quad perimeter meters | |&" puts "&| $side8 :|cyclic_quad_area meters squared | |&" } 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 2. 4. 1.} ::ttk::button .test3 -text "Testcase2" -command {clearx;fillup 2.0 2.0 2.0 2.0 1.0 4. 8. 4. } ::ttk::button .test4 -text "Testcase3" -command {clearx;fillup 3.0 3. 3.0 3.0 1.0 6. 12. 9. } ::ttk::button .clearallx -text clear -command {clearx } ::ttk::button .about -text about -command {about} ::ttk::button .self_help -text self_help -command { self_help } ::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 . "Brahmagupta Area of Cyclic Quadrilateral Calculator V2" ====== ---- *** 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 |&" ====== ---- **Comments Section** <> Please place any comments here with your wiki MONIKER and date, Thanks.[gold] 12DEC2018 <> Numerical Analysis | Toys | Calculator | Mathematics| Example| Toys and Games | Games | Application | GUI