Aryabhat Sum of Squares and Cubes and eTCL demo example calculator, numerical analysis  edit

Page contents

 Aryabhat Sum of Squares and Cubes and eTCL demo example calculator, numerical analysis  

 Testcases Section

  Testcase 1 

  Testcase 2 

  Testcase 3 

 Screenshots Section

 figure 1.

 References:

 Appendix Code

 appendix TCL programs and scripts 

  Pushbutton Operation

 Comments Section

Testcases Section

Testcase 1

Testcase 2

Testcase 3

                      #  series of squares =  1.0 4.0 9.0 16.0 25.0 36.0 49.0 64.0 81.0 100.0
                      proc add {args} {return [ ::tcl::mathop::+ 0. {*}$args]}
                      add 1.0 4.0 9.0 16.0 25.0 36.0 49.0 64.0 81.0 100.0     
                     #   sum for  series of squares to n(10) is  385.0
                      add 1.0 4.0 9.0 
                      #   sum for  series of squares to n(3) is  14.0
                     add 1.0 4.0 9.0 16.0 
                     #   sum for  series of squares to n(3) is  30.0

Screenshots Section

figure 1.

References:

• 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 edit

appendix TCL programs and scripts

        # pretty print from autoindent and ased editor
        # Aryabhat Sum of Squares and Cubes Series
        # 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 {{} {number $n :} }
        lappend names {optional :}
        lappend names {optional: }
        lappend names {optional: }
        lappend names {optional:}
        lappend names {optional: }
        lappend names {sum of squares : }
        lappend names {sum of cubes :} 
        foreach i {1 2 3 4 5 6 7 8} {
            label .frame.label$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 Aryabhat Sum of Squares and Cubes Series 
            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 n $side1
            set sum_squares [* [* [/ 1. 6. ] $n ] [+ $n 1. ] [+ [* 2. $n ] 1. ]]
            #set sum_s [/ [* $n [+ $n 1.] ] 2. ] 
            set sum_cubes  [+ [/ [** $n 4. ] 4.] [/ [** $n 3. ] 2.] [/ [** $n 2. ] 4.]]
            set side7 $sum_squares
            set side8 $sum_cubes
                    }
        proc fillup {aa bb cc dd ee ff gg hh} {
            .frame.entry1 insert 0 "$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 :|number n|   |&"
            puts "&| $side2 :|optional  | |& "  
            puts "&| $side3 :|optional | |& "
            puts "&| $side4 :|optional | |&"
            puts "&| $side5 :|optional  | |&"
            puts "&| $side6 :|optional |  |&"
            puts "&| $side7 :|sum of squares series |  |&"
            puts "&| $side8 :|sum of cubes series |  |&" 
            }
        frame .buttons -bg aquamarine4
        ::ttk::button .calculator -text "Solve" -command { calculate   }
        ::ttk::button .test2 -text "Testcase1" -command {clearx;fillup 10.0 1.  1.0 1.0  1.0  1. 385. 3025.}
        ::ttk::button .test3 -text "Testcase2" -command {clearx;fillup 3.0 1.0 1.0 1.0  1.0  1. 14. 36. }
        ::ttk::button .test4 -text "Testcase3" -command {clearx;fillup 5.0 1.  1.0 1.0  1.0  1. 55. 225. }
        ::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 . "Aryabhat Sum of Squares and Cubes Series Calculator"   

Pushbutton Operation

  puts " %| testcase $testcase_number | value| units |comment |%"
  puts " &| volume| $volume| cubic meters |based on length $side1 and width $side2   |&"  

this license

Comments Section edit

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