Version 19 of Example Linear Interpolation Calculator

Updated 2011-05-16 01:38:18 by RLE

Example Linear Interpolation Calculator


This page is under development. Comments are welcome, but please load any comments in the comments section at the middle of the page. Thanks, gold


gold 17Jul2010 Here is some starter code for Example Linear Interpolation Calculator written in eTCL. This eTCL script calls on console show, which can act funny on other TCL interpreters.


For the report button, the linear interpolation function takes two known points on a line and solves for an intermediate point. The points are xx1,yy1 xx2,yy2 and xx3,?yy3? The input order of the five items is xx1 yy1 xx2 yy2 xx3 and solving for ?yy3?. The interpolation function loaded as proc pol. User should be able to write pol 50. 1000. 200. 1200. 150. and save answer (1133.3) on console.


Screenshots Section

http://farm5.static.flickr.com/4118/4803438156_b62e060e8b.jpg


Comments Section

Please place any comments here, Thanks.

gold Changes.


References*

appendix TCL programs

FIRST VERSION

 #start of deck
 #start of deck
 #start of deck
 #start of deck
 # written on Windowws XP on eTCL 
 # working under TCL version 8.5.6 and eTCL 1.0.1 
 # gold on TCL WIKI , 17Jul2010
 frame .frame -relief flat -bg aquamarine4
 pack .frame -side top -fill y -anchor center

 set names {{} x1: y1: {x3:} {y3:} {x2:} {answer:} possible:}
 foreach i {1 2 3 4 5 6 } {
   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 linear interpolation.\nfrom TCL WIKI,\nwritten on eTCL "
   tk_messageBox -title "About" -message $msg
 }

 proc pi {} {expr acos(-1)}
   
 proc interlinear { xx1 yy1 xx3 yy3 xx2 } {
   return [expr { ((($xx2-$xx1)*($yy3-$yy1))/($xx3-$xx1))+ $yy1 } ] }

 proc pol { xx1 yy1 xx3 yy3 xx2 } {
   return [expr { ((($xx2-$xx1)*($yy3-$yy1))/($xx3-$xx1))+ $yy1 } ] }

 proc calculate {     } {
    global colorwarning
    global colorback
    global answer2   answer3
    global side1 side2 side3 side4 side5 side6

    set answer2 ""
    set answer2 [ interlinear  $side1 $side2 $side3 $side4 $side5  ] 
    set side6 $answer2  
    set pi5 [pi]
    if {$answer2 >= $pi5} { set error5   [expr {100.*$answer2/$pi5-100.}]   }
    if {$answer2 <= $pi5} { set error5   [expr {100.*$pi5/$answer2-100.}]   }
    #$x insert 1.0 " % error $error5 " 
    #$t insert 1.0 " % error  $error5 "
 }

 proc fillup {aa bb cc dd ee ff} {
    .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"
 }

 proc clearx {} {
   foreach i {1 2 3 4 5 6} {
     .frame.entry$i delete 0 end
   }
 }

 proc reportx {} { 
   console show
   puts "
   The interpolation function takes 
   two know points on a line and
   solves for an intermediate point.
   The points are xx1,yy1   xx2,yy2 and xx3,?yy3?
   The input order of the five items
   is xx1 yy1 xx2 yy2 xx3 
   and solving for ?yy3?.
   The interpolation function loaded as
   proc pol. User should be able to write
   pol 50. 1000. 200. 1200.  150.
   and save answer (1133.3)  on console."
 }

 frame .buttons -bg aquamarine4

 ::ttk::button .calculator -text "Solve" -command calculate
 ::ttk::button .test2 -text "Testcase1" -command { clearx;fillup 10.  100.  60.  120.   50.  116 }
 ::ttk::button .test3 -text "Testcase2" -command { clearx;fillup 50.  1000. 200. 1200.  150. 1133 }
 ::ttk::button .test4 -text "Testcase3" -command { clearx;fillup 200. 1000. 300. 1500.  250. 1250}
 ::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
 bind . <Motion> {wm title . "Linear Interpolation Calculator"}

 #end of deck
 #end of deck
 #end of deck
 #end of deck      
 #end of deck
 #end of deck

SECOND VERSION WITH ADDED HACKS

 #start of deck
 #start of deck
 #start of deck
 #start of deck

 # written on Windowws XP on eTCL 
 # working under TCL version 8.5.6 and eTCL 1.0.1 
 # gold on TCL WIKI , 17Jul2010

 set colorgrd seashell4
 set colorback bisque
 set colorwarning tomato1
 frame .frame -relief flat -bg aquamarine4
 pack .frame -side top -fill y -anchor center

 set names {{} x1: y1: {x3:} {y3:} {x2:} {answer:} possible:}
 foreach i {1 2 3 4 5 6 } {
   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 linear interpolation.\nfrom TCL WIKI"
   tk_messageBox -title "About" -message $msg
 }

 proc pi {} {expr acos(-1)}
   
 proc interlinear { xx1 yy1 xx3 yy3 xx2   } {
   return [expr {  ((($xx2-$xx1)*($yy3-$yy1))/($xx3-$xx1))+ $yy1 } ] }

 proc calculate {     } {
   global colorwarning
   global colorback
   global answer2   answer3
   global side1 side2 side3 side4 side5 side6 

   set answer2 ""
   set answer2  [ interlinear  $side1 $side2 $side3 $side4 $side5  ] 
   set side6 $answer2  
   set pi5 [pi]
   if {$answer2 >= $pi5} { set error5   [expr {100.*$answer2/$pi5-100.}]   }
   if {$answer2 <= $pi5} { set error5   [expr {100.*$pi5/$answer2-100.}]   }
   #$x insert 1.0 " % error $error5 " 
   #$t insert 1.0 " % error  $error5 "


 }

 proc fillup {aa bb cc dd ee ff } {
    .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 "
 }

 proc clearx {} {
   foreach i {1 2 3 4 5 6 } {
     .frame.entry$i delete 0 end
   }
 }

 frame .buttons -bg aquamarine4

    
 ::ttk::button .calculator -text "Solve" -command calculate

 ::ttk::button .test2 -text "Testcase1" -command { clearx;fillup 10. 100. 60. 120.  50. 116 }
 ::ttk::button .test3 -text "Testcase2" -command { clearx;fillup  50. 1000. 200. 1200.  150. 1133 }
 ::ttk::button .test4 -text "Testcase3" -command { clearx;fillup 200. 1000. 300. 1500.  250. 1250}
 ::ttk::button .clearallx -text clear -command clearx
 ::ttk::button .about -text about -command about
 ::ttk::button .exit -text exit -command exit

 pack .calculator -in .buttons -side top -padx 10 -pady 5
 pack .clearallx .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
 bind . <Motion> {wm title . "Linear Interpolation Calculator"}

 #start of deck
 #start of deck
 #start of deck 
       
 #end of deck
 #end of deck
 #end of deck
 #end of  deck
 #end of deck
 #end of deck
 #end of deck