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Diffstat (limited to 'src/interp/bc-misc.boot')
| -rw-r--r-- | src/interp/bc-misc.boot | 924 |
1 files changed, 924 insertions, 0 deletions
diff --git a/src/interp/bc-misc.boot b/src/interp/bc-misc.boot new file mode 100644 index 00000000..9a39697c --- /dev/null +++ b/src/interp/bc-misc.boot @@ -0,0 +1,924 @@ +-- Copyright (c) 1991-2002, The Numerical ALgorithms Group Ltd. +-- All rights reserved. +-- +-- Redistribution and use in source and binary forms, with or without +-- modification, are permitted provided that the following conditions are +-- met: +-- +-- - Redistributions of source code must retain the above copyright +-- notice, this list of conditions and the following disclaimer. +-- +-- - Redistributions in binary form must reproduce the above copyright +-- notice, this list of conditions and the following disclaimer in +-- the documentation and/or other materials provided with the +-- distribution. +-- +-- - Neither the name of The Numerical ALgorithms Group Ltd. nor the +-- names of its contributors may be used to endorse or promote products +-- derived from this software without specific prior written permission. +-- +-- THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND CONTRIBUTORS "AS +-- IS" AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, BUT NOT LIMITED +-- TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS FOR A +-- PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER +-- OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, +-- EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +-- PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR +-- PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON ANY THEORY OF +-- LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING +-- NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY OUT OF THE USE OF THIS +-- SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. + + +--Hypertex commands other than solve and matrix + +bcDrawIt2(ind,a,b) == STRCONC('"{}",ind,'"=",a,'"{}..",b,'"{}") + +bcIndefiniteIntegrate() == + htInitPage("Indefinite Integration Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain S (String)) + (isDomain SY (Symbol))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em function} you would like to integrate:") + (text . "\newline\tab{2} ") + (bcStrings (45 "1/(x**2 + 6)" integrand EM)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em variable of integration}:") + (text . "\tab{37}") + (bcStrings (10 x symbol SY)) + (doneButton "Continue" bcIndefiniteIntegrateGen)) + htShowPage() + +bcIndefiniteIntegrateGen htPage == + integrand := htpLabelInputString(htPage,'integrand) + var := htpLabelInputString(htPage,'symbol) + bcGen STRCONC('"integrate(",integrand,'",",var,")") + + +bcDefiniteIntegrate() == + htInitPage("Definite Integration Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain S (String)) + (isDomain SY (Symbol))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em function} you would like to integrate:") + (text . "\newline\tab{2} ") + (bcStrings (45 "1/(x**2 + 6)" integrand EM)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em variable of integration}:") + (text . "\tab{37}") + (bcStrings (10 x symbol SY)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\newline Enter {\em lower limit}:") + (radioButtons fromButton + ("" "Minus infinity" minusInfinity) + ("" ( + (text . "A finite point:\tab{15}") + (bcStrings (10 0 from EM . bcOptional))) fromPoint)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\indent{2}\newline Enter {\em upper limit}:") + (radioButtons toButton + ("" "Plus infinity" plusInfinity) + ("" ( + (text "A finite point:\tab{15}") + (bcStrings (10 y to EM . bcOptional))) toPoint)) + (doneButton "Continue" bcDefiniteIntegrateGen)) + htShowPage() + +bcDefiniteIntegrateGen htPage == + integrand := htpLabelInputString(htPage,'integrand) + var := htpLabelInputString(htPage,'symbol) + lowerLimit := + htpButtonValue(htPage,'fromButton) = 'fromPoint => + htpLabelInputString(htPage,'from) + '"%minusInfinity" + upperLimit := + htpButtonValue(htPage,'toButton) = 'toPoint => + htpLabelInputString(htPage,'to) + '"%plusInfinity" + varpart := STRCONC(var,'" = ",lowerLimit,'"..",upperLimit) + bcGen + STRCONC('"integrate(",integrand,'",",varpart,'")") + +bcSum() == + htInitPage("Sum Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain S (String)) + (isDomain SY (Symbol))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em function} you would like to sum:") + (text . "\newline\tab{2} ") + (bcStrings (44 "i**3" summand EM)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em summation index}:") + (text . "\tab{36}") + (bcStrings (10 i index SY)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the limits of the sum:") + (text . "\newline\tab{10}{\em From:}") + (bcStrings (10 1 first S)) + (text . "\tab{32}{\em To:}") + (text . "\tab{36}") + (bcStrings (10 n last S)) + (doneButton "Continue" bcSumGen)) + htShowPage() + +bcSumGen htPage == + mand := htpLabelInputString(htPage,'summand) + index := htpLabelInputString(htPage,'index) + first := htpLabelInputString(htPage,'first) + last := htpLabelInputString(htPage,'last) + bcGen STRCONC('"sum(",mand,'",",index,'" = ",first,'"..",last,'")") + +bcProduct() == + htInitPage("Product Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain S (String)) + (isDomain SY (Symbol))) + (text . "Enter the {\em function} you would like to compute the product of:") + (inputStrings ("" "" 45 "i**2" mand EM)) + (text . "\vspace{1}\newline") + (inputStrings ("Enter the {\em index of the product}:" "" 5 i index SY)) + (text . "\vspace{1}\newline Enter the limits of the index:") + (inputStrings + ("\newline{\em From:}" "" 10 "1" first EM) + ("{\em To:}\space{2}" "" 10 "n" last EM)) + (doneButton "Continue" bcProductGen)) + htShowPage() + +bcProductGen htPage == + mand := htpLabelInputString(htPage,'mand) + index := htpLabelInputString(htPage,'index) + first := htpLabelInputString(htPage,'first) + last := htpLabelInputString(htPage,'last) + bcGen STRCONC('"product(",mand,'",",index,'",",first,'",",last,'")") + +bcDifferentiate() == + htInitPage("Differentiate Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain S (String)) + (isDomain SY (Symbol))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em function} you want to differentiate:") + (text . "\newline\tab{2} ") + (bcStrings (55 "sin(x*y)" diffand EM)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\newline List the {\em variables} you want to differentiate with respect to?") + (text . "\newline\tab{2} ") + (bcStrings (55 "x y" variables S . quoteString)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "\newline List the number of {\em times} you want to differentiate with respect to each variable (leave blank if once for each)") + (text . "\newline\tab{2} ") + (bcStrings (55 "1 2" times S . quoteString))) + htMakeDoneButton('"Continue", 'bcDifferentiateGen) + htShowPage() + +bcDifferentiateGen htPage == + mand := htpLabelInputString(htPage,'diffand) + varlist := bcString2WordList htpLabelInputString(htPage,'variables) + indexList := bcString2WordList htpLabelInputString(htPage,'times) + varpart := + #varlist > 1 => bcwords2liststring varlist + first varlist + indexpart := + null indexList => nil + null rest indexList => first indexList + #indexList = #varlist => bcwords2liststring indexList + bcError '"You must say how many times you want to differentiate with respect to each variable---or leave that entry blank" + lastPart := + indexpart => STRCONC('",",indexpart,'")") + '")" + bcGen STRCONC('"differentiate(",mand,'",",varpart,lastPart) + +bcDraw() == + htInitPage('"Draw Basic Command",nil) + bcHt '"What would you like to draw?" + bcHt '"\newline\centerline{{\em Two Dimensional Plots}}\newline" + bcHt '"\lispdownlink{A function of one variable}{(|bcDraw2Dfun|)}" + bcHt '"\space{2}y = f(x)\newline" + bcHt '"\lispdownlink{A parametrically defined curve}{(|bcDraw2Dpar|)}" + bcHt '"\space{2}(x(t), y(t))\newline" + bcHt '"\lispdownlink{A solution to a polynomial equation}{(|bcDraw2DSolve|)}" + bcHt '"\space{2} p(x,y) = 0\newline" + bcHt '"\vspace{1}\newline " + bcHt '"\centerline{{\em Three Dimensional Surfaces}}\newline\newline" + bcHt '"\lispdownlink{A function of two variables}{(|bcDraw3Dfun|)}" + bcHt '"\space{2} z = f(x,y)\newline" + bcHt '"\lispdownlink{A parametrically defined tube}{(|bcDraw3Dpar|)}" + bcHt '"\space{2}(x(t), y(t), z(t))\newline" + bcHt '"\lispdownlink{A parameterically defined surface}{(|bcDraw3Dpar1|)}" + bcHt '"\space{2}(x(u,v), y(u,v), z(u,v))\newline" + htShowPage() + + +bcDraw2Dfun() == + htInitPage('"Draw Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain F (Float)) + (isDomain SY (Symbol))) + (text + "\centerline{Drawing {\em y = f(x)}}\newline " + "\centerline{where {\em y} is the dependent variable and}\newline " + "\centerline{where {\em x} is the independent variable}\vspace{1}\newline " + "\menuitemstyle{}\tab{2}What {\em function} f would you like to draw?\newline\tab{2}") + (bcStrings (55 "x*cos(x)" function EM)) + (text . "\vspace{1}\newline\menuitemstyle{}\tab{2}Enter {\em dependent} variable:") + (bcStrings (6 y dependent SY)) + (text . "\newline\vspace{1}\newline ") + (text . "\menuitemstyle{}\tab{2}Enter {\em independent} variable and {\em range}:\newline\tab{2} ") + (text . "{\em Variable:}") + (bcStrings (6 x ind SY)) + (text . "ranges {\em from:}") + (bcStrings (9 0 from1 F)) + (text . "{\em to:}") + (bcStrings (9 30 to1 F)) + (text + "\indent{0}\vspace{1}\newline\menuitemstyle{}\tab{2} " + "Optionally enter a {\em title} for your curve:" + ) + (bcStrings (15 "y = x*cos(x)" title S)) + (text . "\indent{0}") + (doneButton "Continue" bcDraw2DfunGen) + (text . "{}")) + htShowPage() + +bcDraw2DfunGen htPage == + fun := htpLabelInputString(htPage,'function) + dep := htpLabelInputString(htPage,'dependent) + ind := htpLabelInputString(htPage,'ind) + from1 := htpLabelInputString(htPage,'from1) + to1 := htpLabelInputString(htPage,'to1) + title := htpLabelInputString(htPage,'title) + if (title ^= '"") then + titlePart := STRCONC('"{}",'"title ==_"",title,'"_"") + bcFinish('"draw",fun,bcDrawIt2(ind,from1,to1),titlePart) + else + bcFinish('"draw",fun,bcDrawIt2(ind,from1,to1)) + + +bcDraw2Dpar() == + htInitPage('"Draw Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain F (Float)) + (isDomain SY (Symbol))) + (text + "\centerline{Drawing a parametrically defined curve:}\newline " + "\centerline{{\em ( f1(t), f2(t) )}}\newline " + "\centerline{in terms of two functions {\em f1} and {\em f2}}" + "\centerline{and an independent variable {\em t}}\vspace{1}\newline" + "\menuitemstyle{}\tab{2}Enter the two {\em functions:}") + (text . "\newline\tab{2}{\em Function 1:}") + (bcStrings (44 "-9*sin(4*t/5)" function1 EM)) + (text . "\newline\tab{2}{\em Function 2:}") + (bcStrings (44 "8*sin(t)" function2 EM)) + (text ."\vspace{1}\newline\menuitemstyle{}\tab{2}Enter {\em independent} variable and range:\newline\tab{2} ") + (text . "{\em Variable:}") + (bcStrings (6 t ind SY)) + (text . "ranges {\em from:}") + (bcStrings (9 "-5*\%pi" from1 F)) + (text . "{\em to:}") + (bcStrings (9 "5*\%pi" to1 F)) + (text + "\vspace{1}\newline\menuitemstyle{}\tab{2}" + "Optionally enter a {\em title} for your curve:") + (bcStrings (15 "Lissajous" title S)) + (text . "\indent{0}") + (doneButton "Continue" bcDraw2DparGen)) + htShowPage() + +bcDraw2DparGen htPage == + fun1 := htpLabelInputString(htPage,'function1) + fun2 := htpLabelInputString(htPage,'function2) + ind := htpLabelInputString(htPage,'ind) + from1 := htpLabelInputString(htPage,'from1) + to1 := htpLabelInputString(htPage,'to1) + title := htpLabelInputString(htPage,'title) + curvePart := STRCONC('"curve(",'"{}",fun1,'",{}",fun2,'")") + if (title ^= '"") then + titlePart := (title = '"" => nil; STRCONC('"{}",'"title ==_"",title,'"_"")) + bcFinish('"draw",curvePart,bcDrawIt2(ind,from1,to1),titlePart) + else + bcFinish('"draw",curvePart,bcDrawIt2(ind,from1,to1)) + +bcDraw2DSolve() == + htInitPage('"Draw Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain F (Float)) + (isDomain SY (Symbol))) + (text + "\centerline{Plotting the solution to {\em p(x,y) = 0}, where} " + "\centerline{{\em p} is a polynomial in two variables {\em x} and {\em y}}" + "\vspace{1}\newline\menuitemstyle{}\tab{2}Enter the {\em polynomial} p:" + "\newline\tab{2}") + (bcStrings (40 "y**2+7*x*y-(x**3+16*x)" function EM)) + (text . "\vspace{1}\newline\menuitemstyle{}\tab{2}Enter the {\em variables}:") + (text . "\newline\tab{2}{\em Variable 1:} ") + (bcStrings (4 x independent1 SY)) + (text . "ranges {\em from:}") + (bcStrings (9 -15 from1 F)) + (text . "{\em to:}") + (bcStrings (9 10 to1 F)) + (text . "\newline\tab{2}{\em Variable 2:} ") + (bcStrings (4 y independent2 SY)) + (text . "ranges {\em from:}") + (bcStrings (9 -10 from2 F)) + (text . "{\em to:}") + (bcStrings (9 50 to2 F)) + (text + "\indent{0}\vspace{1}\newline\menuitemstyle{}\tab{2} " + "Optionally enter a {\em title} for your curve:") + (bcStrings (15 "" title S)) + (text . "\indent{0}")) + htMakeDoneButton('"Continue",'bcDraw2DSolveGen) + htShowPage() + +bcDraw2DSolveGen htPage == + fun := htpLabelInputString(htPage,'function) + ind1 := htpLabelInputString(htPage,'independent1) + from1 := htpLabelInputString(htPage,'from1) + to1 := htpLabelInputString(htPage,'to1) + ind2 := htpLabelInputString(htPage,'independent2) + from2 := htpLabelInputString(htPage,'from2) + to2 := htpLabelInputString(htPage,'to2) + title := htpLabelInputString(htPage,'title) + clipPart := STRCONC('"{}",'"range==[{}",from1,'"..",to1,",{}",from2,'"..",to2,'"]") + if (title ^= '"") then + titlePart := (title = '"" => nil; STRCONC('"{}",'"title ==_"",title,'"_"")) + bcFinish('"draw",STRCONC(fun,'" = 0 "),ind1,ind2,clipPart,titlePart) + else + bcFinish('"draw",STRCONC(fun,'" = 0 "),ind1,ind2,clipPart) + +bcDraw3Dfun() == + htInitPage('"Three Dimensional Draw Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain F (Float)) + (isDomain SY (Symbol))) + (text + "\centerline{Drawing {\em z = f(x,y)}}\newline " + "\centerline{where {\em z} is the dependent variable and}\newline " + "\centerline{where {\em x, y} are the independent variables}\vspace{1}\newline\menuitemstyle{}\tab{2} " + "What {\em function} f which you like to draw?\newline\tab{2}") + (bcStrings (55 "exp(cos(x-y)-sin(x*y))-2" function EM)) + (text . "\newline\menuitemstyle{}\tab{2}Enter {\em dependent} variable:") + (bcStrings (6 z dependent SY)) + (text + "\vspace{1}\newline\menuitemstyle{}\tab{2}" + "Enter {\em independent} variables and ranges:\newline\tab{2} " + "{\em Variable:}") + (bcStrings (6 x independent1 SY)) + (text . "ranges {\em from:}") + (bcStrings (9 -5 from1 F)) + (text . "{\em to:}") + (bcStrings (9 5 to1 F)) + (text . "\newline\tab{2}{\em Variable:}") + (bcStrings (6 y independent2 SY)) + (text . "ranges {\em from:}") + (bcStrings (9 -5 from2 F)) + (text . "{\em to:}") + (bcStrings (9 5 to2 F)) + (text + "\indent{0}\vspace{1}\newline\menuitemstyle{}\tab{2} " + "Optionally enter a {\em title} for your surface:") + (bcStrings (15 "" title S)) + (text . "\indent{0}") + (doneButton "Continue" bcDraw3DfunGen)) + htShowPage() + +bcDraw3DfunGen htPage == + fun := htpLabelInputString(htPage,'function) + dep := htpLabelInputString(htPage,'dependent) + ind1 := htpLabelInputString(htPage,'independent1) + from1 := htpLabelInputString(htPage,'from1) + to1 := htpLabelInputString(htPage,'to1) + ind2 := htpLabelInputString(htPage,'independent2) + from2 := htpLabelInputString(htPage,'from2) + to2 := htpLabelInputString(htPage,'to2) + title := htpLabelInputString(htPage,'title) + if (title ^= '"") then + titlePart := (title = '"" => nil;STRCONC('"{}",'"title ==_"",title,'"_"")) + bcFinish('"draw",fun,bcDrawIt2(ind1,from1,to1),bcDrawIt2(ind2,from2,to2),titlePart) + else + bcFinish('"draw",fun,bcDrawIt2(ind1,from1,to1),bcDrawIt2(ind2,from2,to2)) + +bcDraw3Dpar() == + htInitPage('"Draw Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain F (Float)) + (isDomain SY (Symbol))) + (text + "\centerline{Drawing a parametrically defined curve:" + "{\em ( f1(t), f2(t), f3(t) )}}\newline " + "\centerline{in terms of three functions {\em f1}, {\em f2}, and {\em f3}}\newline " + "\centerline{and an independent variable {\em t}}\vspace{1}\newline\menuitemstyle{}\tab{2} " + "Enter the three {\em functions} of the independent variable:") + (text . "\newline\tab{2}{\em Function f1:}") + (bcStrings (42 "1.3*cos(2*t)*cos(4*t) + sin(4*t)*cos(t)" function1 EM)) + (text . "\newline\tab{2}{\em Function f2:}") + (bcStrings (42 "1.3*sin(2*t)*cos(4*t) - sin(4*t)*sin(t)" function2 EM)) + (text . "\newline\tab{2}{\em Function f3:}") + (bcStrings (42 "2.5*cos(4*t)" function3 EM)) + (text ."\vspace{1}\newline\menuitemstyle{}\tab{2}Enter {\em independent} variable and range:\newline\tab{2} ") + (text ."{\em Variable:}") + (bcStrings (6 t ind SY)) + (text . "ranges {\em from:}") + (bcStrings (9 0 from1 F)) + (text "{\em to:}") + (bcStrings (9 "4*\%pi" to1 F)) + (text + "\indent{0}\vspace{1}\newline\menuitemstyle{}\tab{2} " + "Optionally enter a {\em title} for your surface:") + (bcStrings (15 "knot" title S)) + (text . "\indent{0}") + (doneButton "Continue" bcDraw3DparGen)) + htShowPage() + +bcDraw3DparGen htPage == + fun1 := htpLabelInputString(htPage,'function1) + fun2 := htpLabelInputString(htPage,'function2) + fun3 := htpLabelInputString(htPage,'function3) + ind := htpLabelInputString(htPage,'ind) + from1 := htpLabelInputString(htPage,'from1) + to1 := htpLabelInputString(htPage,'to1) + title := htpLabelInputString(htPage,'title) + curvePart := STRCONC('"curve(",'"{}",fun1,'",{}",fun2,'",{}",fun3,'")") + tubePart := '"{}tubeRadius==.25,{}tubePoints==16" + if (title ^= '"") then + titlePart := (title = '"" => nil; STRCONC('"{}",'"title ==_"",title,'"_"")) + bcFinish('"draw",curvePart,bcDrawIt2(ind,from1,to1),tubePart,titlePart) + else + bcFinish('"draw",curvePart,bcDrawIt2(ind,from1,to1),tubePart) + +bcDraw3Dpar1() == + htInitPage('"Draw Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain F (Float)) + (isDomain SY (Symbol))) + (text + "\centerline{Drawing a parametrically defined surface:}\newline " + "\centerline{{\em ( f1(u,v), f2(u,v), f3(u,v) )}}\newline " + "\centerline{in terms of three functions {\em f1}, {\em f2}, and {\em f3}}\newline " + "\centerline{and two independent variables {\em u} and {\em v}}\vspace{1}\newline\menuitemstyle{}\tab{2}" + "Enter the three {\em functions} of the independent variables:") + (text . "\newline\tab{2}") + (text . "{\em Function f1:}") + (bcStrings (43 "u*sin(v)" function1 EM)) + (text . "\newline\tab{2}") + (text . "{\em Function f2:}") + (bcStrings (43 "v*cos(u)" function2 EM)) + (text . "\newline\tab{2}") + (text . "{\em Function f3:}") + (bcStrings (43 "u*cos(v)" function3 EM)) + (text . "\newline\menuitemstyle{}\tab{2}Enter independent {\em variables} and ranges:") + (text . "\newline\tab{2}") + (text . "{\em Variable 1:}") + (bcStrings (5 u ind1 SY)) + (text . "ranges {\em from:}") + (bcStrings (9 "-\%pi" from1 F)) + (text . "{\em to:}") + (bcStrings (9 "\%pi" to1 F)) + (text . "\newline\tab{2}") + (text . "{\em Variable 2:}") + (bcStrings (5 v ind2 SY)) + (text . "ranges {\em from:}") + (bcStrings (9 "-\%pi/2" from2 F)) + (text . "{\em to:}") + (bcStrings (9 "\%pi/2" to2 F)) + (text + "\indent{0}\newline\menuitemstyle{}\tab{2} " + "Optionally enter a {\em title} for your surface:") + (bcStrings (15 "surface" title S)) + (text . "\indent{0}")) + htMakeDoneButton ('"Continue",'bcDraw3Dpar1Gen) + htShowPage() + +bcDraw3Dpar1Gen htPage == + fun1 := htpLabelInputString(htPage,'function1) + fun2 := htpLabelInputString(htPage,'function2) + fun3 := htpLabelInputString(htPage,'function3) + ind1 := htpLabelInputString(htPage,'ind1) + from1 := htpLabelInputString(htPage,'from1) + to1 := htpLabelInputString(htPage,'to1) + ind2 := htpLabelInputString(htPage,'ind2) + from2 := htpLabelInputString(htPage,'from2) + to2 := htpLabelInputString(htPage,'to2) + title := htpLabelInputString(htPage,'title) + r1 := bcDrawIt2(ind1,from1,to1) + r2 := bcDrawIt2(ind2,from2,to2) + surfacePart := STRCONC('"surface(",'"{}",fun1,'",{}",fun2,'",{}",fun3,'")") + if (title ^= '"") then + titlePart := (title = '"" => nil; STRCONC('"{}",'"title ==_"",title,'"_"")) + bcFinish('"draw",surfacePart,r1,r2,titlePart) + else + bcFinish('"draw",surfacePart,r1,r2) + +bcSeries() == + htInitPage('"Series Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain S (String)) + (isDomain SY (Symbol))) + (text . "Create a series by: ") + (text . "\beginmenu") + (text . "\item ") + (bcLinks ("\menuitemstyle{Expansion}" "" bcSeriesExpansion NILl)) + (text . "\tab{11}Expand a function in a series around a point") + (text . "\item ") + (bcLinks ("\menuitemstyle{Formula}" "" bcSeriesByFormula NIL)) + (text . "\tab{11}Give a formula for the {\em i}'th coefficient") + (text . "\endmenu")) + htShowPage() + +bcSeriesExpansion(a,b) == + htInitPage('"Series Expansion Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain EEM (Expression $EmptyMode)) + (isDomain S (String)) + (isDomain SY (Symbol))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em function} you want to expand in a power series") + (text . "\newline\tab{2} ") + (bcStrings (55 "log(cot(x))" function EM)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em power series variable}") + (text . "\tab{49}") + (bcStrings (8 x variable SY)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em point} about which you want to expand") + (text . "\tab{49}") + (bcStrings (8 "\%pi/2" point EM))) + htMakeDoneButton('"Continue",'bcSeriesExpansionGen) + htShowPage() + +bcSeriesExpansionGen htPage == + fun := htpLabelInputString(htPage,'function) + var := htpLabelInputString(htPage,'variable) + point := htpLabelInputString(htPage,'point) + terms := htpLabelInputString(htPage,'numberOfTerms) + bcFinish("series",fun,STRCONC(var,'" = ",point)) + +bcSeriesByFormula(a,b) == + htInitPage('"Power Series Basic Command",nil) + htMakePage '( + (text . "Select the kind of power series you want to create:") + (text . "\beginmenu") + (text . "\item ") + (bcLinks ("\menuitemstyle{Taylor Series}" "" bcTaylorSeries taylor)) + (text . "\newline Series where the exponent ranges over the integers from a {\em non-negative integer} value to plus infinity by an arbitrary {\em positive integer} step size") + (text . "\item ") + (bcLinks ("\menuitemstyle{Laurent Series}" "" bcLaurentSeries laurent)) + (text . "\newline Series where the exponent ranges from an arbitrary {\em integer} value to plus infinity by an arbitrary {\em positive integer} step size") + (text . "\item ") + (bcLinks ("\menuitemstyle{Puiseux Series}" "" bcPuiseuxSeries puiseux)) + (text . "\newline Series where the exponent ranges from an arbitrary {\em rational value} to plus infinity by an arbitrary {\em positive rational number} step size") + (text . "\endmenu")) + htShowPage() + +bcTaylorSeries(a,b) == + htInitPage('"Taylor Series Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain EEM (Expression $EmptyMode)) + (isDomain S (String)) + (isDomain SY (Symbol))) + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the formula for the general coefficient of the series") + (text . "\newline\tab{2} ") + (bcStrings (55 "1/factorial(i)" formula EM)) + (text . "\blankline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em index variable} for your formula") + (text . "\tab{49}") + (bcStrings (8 i index SY)) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em power series variable}") + (text . "\tab{49}") + (bcStrings (8 x variable SY)) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em point} about which you want to expand") + (text . "\tab{49}") + (bcStrings (8 0 point EM)) + (text . "\blankline ") + (text ."For Taylor Series, the exponent of the power series variable ranges from an {\em initial value}, an arbitrary non-negative integer, to plus infinity; the {\em step size} is any positive integer.") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em initial value} of the index (an integer)") + (text . "\tab{49}") + (bcStrings (8 "0" min I)) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em step size} (a positive integer)") + (text . "\tab{49}") + (bcStrings (8 "1" step PI)) + (doneButton "Continue" bcTaylorSeriesGen)) + htShowPage() + +bcSeriesByFormulaGen htPage == bcNotReady() + +bcLaurentSeries(a,b) == + htInitPage('"Laurent Series Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain EEM (Expression $EmptyMode)) + (isDomain S (String)) + (isDomain I (Integer)) + (isDomain PI (PositiveInteger)) + (isDomain SY (Symbol))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the formula for the general coefficient of the series") + (text . "\newline\tab{2} ") + (bcStrings (55 "(-1)**(n - 1)/(n + 2)" formula EM)) + (text . "\vspace{1}\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em index variable} for your formula") + (text . "\tab{49}") + (bcStrings (8 n index SY)) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em power series variable}") + (text . "\tab{49}") + (bcStrings (8 x variable SY)) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em point} about which you want to expand") + (text . "\tab{49}") + (bcStrings (8 0 point F)) + (text . "\blankline") + (text . "\newline For Laurent Series, the exponent of the power series variable ranges from an {\em initial value}, an arbitrary integer value, to plus infinity; the {\em step size} is any positive integer.") + (text . "\blankline") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em initial value} of the index (an integer)") + (text . "\tab{49}") + (bcStrings (8 "-1" min I)) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em step size} (a positive integer)") + (text . "\tab{49}") + (bcStrings (8 "1" step PI)) + (doneButton "Continue" bcLaurentSeriesGen)) + htShowPage() + +bcPuiseuxSeries(a,b) == + htInitPage('"Puiseux Series Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain EEM (Expression $EmptyMode)) + (isDomain S (String)) + (isDomain I (Integer)) + (isDomain PI (PositiveInteger)) + (isDOmain RN (Fraction (Integer))) + (isDomain SY (Symbol))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text ."Enter the {\em formula} for the general coefficient of the series") + (text . "\newline\tab{2} ") + (bcStrings(55 "(-1)**((3*n - 4)/6)/factorial(n - 1/3)" formula EM)) + (text . "\vspace{1}\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em index variable} for your formula") + (text . "\tab{49}") + (bcStrings (8 n index SY)) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em power series variable}") + (text . "\tab{49}") + (bcStrings (8 x variable SY)) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em point} about which you want to expand") + (text . "\tab{49}") + (bcStrings (8 0 point F)) + (text . "\blankline ") + (text . "For Puiseux Series, the exponent of the power series variable ranges from an {\em initial value}, an arbitary rational number, to plus infinity; the {\em step size} is an any positive rational number.") + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em initial value} of index (a rational number)") + (text . "\tab{51}") + (bcStrings (6 "4/3" min RN)) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em step size} (a positive rational number)") + (text . "\tab{51}") + (bcStrings (6 "2" step RN)) + (doneButton "Continue" bcPuiseuxSeriesGen)) + htShowPage() + +bcTaylorSeriesGen htPage == bcSeriesGen(htPage) + +bcLaurentSeriesGen htPage == + bcSeriesGen(htPage) + +bcPuiseuxSeriesGen htPage == + bcSeriesGen(htPage) + +bcSeriesGen(htPage) == + step:= htpLabelInputString(htPage,'step) + min := htpLabelInputString(htPage,'min) + formula := htpLabelInputString(htPage,'formula) + index := htpLabelInputString(htPage,'index) + var := htpLabelInputString(htPage,'variable) + point := htpLabelInputString(htPage,'point) + varPart := STRCONC(var,'" = ",point) + minPart := STRCONC(min,'"..") + bcFinish('"series",STRCONC(index,'" +-> ",formula),varPart,minPart,step) + +bcLimit() == + htInitPage('"Limit Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain S (String)) + (isDomain SY (Symbol))) + (text . "What kind of limit do you want to compute? ") + (text . "\blankline ") + (text . "\beginmenu") + (text . "\item ") + (bcLinks ("\menuitemstyle{A real limit?}" "" bcRealLimit real)) + (text . "\indentrel{17}\tab{0}") + (text . "The limit as the variable approaches a {\em real} value along the real axis") + (text . "\indentrel{-17}") + (text . "\item ") + (text . "\blankline ") + (bcLinks ("\menuitemstyle{A complex limit?}" "" bcComplexLimit complex)) + (text . "\indentrel{17}\tab{0}") + (text . "The limit as the variable approaches a {\em complex} value along any path in the complex plane") + (text . "\indentrel{-17}") + (text . "\endmenu") + ) + htShowPage() + +bcRealLimit(a,b) == + htInitPage('"Real Limit Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain SY (Symbol))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em function} you want to compute the limit of:") + (text . "\newline\tab{2} ") + (bcStrings (45 "x*sin(1/x)" expression EM)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the name of the {\em variable}: ") + (text . "\tab{41}") + (bcStrings (6 x variable SY)) + (text . "\blankline") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Compute the limit at") + (radioButtons location + ("A finite point:" ( + (text . "\tab{33}") + (bcStrings (6 0 point F))) finitePoint) + ("Plus infinity" "" plusInfinity) + ("Minus infinity" "" minusInfinity)) + (doneButton "Continue" bcRealLimitGen)) + htShowPage() + +bcRealLimitGen htPage == + (p := htpButtonValue(htPage,'location)) ^= 'finitePoint => + fun := htpLabelInputString(htPage,'expression) + var := htpLabelInputString(htPage,'variable) + loc := + p = 'plusInfinity => '"%plusInfinity" + '"%minusInfinity" + bcFinish('"limit",fun,STRCONC(var,'" = ",loc)) + page := htInitPage('"Real Limit Basic Command",nil) + htMakePage '( + (text . "Compute the limit") + (lispLinks + ("\menuitemstyle{From both directions}" "" bcRealLimitGen1 both) + ("\menuitemstyle{From the right}" "" bcRealLimitGen1 right) + ("\menuitemstyle{From the left}" "" bcRealLimitGen1 left))) + htpSetProperty(page,'fun,htpLabelInputString(htPage,'expression)) + htpSetProperty(page,'var,htpLabelInputString(htPage,'variable)) + htpSetProperty(page,'loc,htpLabelInputString(htPage,'point)) + htShowPage() + +bcRealLimitGen1(htPage,key) == + direction := + key = 'right => '"_"right_"" + key = 'left => '"_"left_"" + nil + fun := htpProperty(htPage,'fun) + var := htpProperty(htPage,'var) + loc := htpProperty(htPage,'loc) + varPart := STRCONC(var,'" = ",loc) + bcFinish('"limit",fun,varPart,direction) + +bcComplexLimit(a,b) == + htInitPage('"Complex Limit Basic Command",nil) + htMakePage '( + (domainConditions + (isDomain EM $EmptyMode) + (isDomain S (String)) + (isDomain F (Float)) + (isDomain SY (Symbol))) + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the {\em function} you want to compute the limit of:") + (text . "\newline\tab{2} ") + (bcStrings (40 "sin(a*x)/tan(b*x)" expression EM)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Enter the name of the {\em variable}: ") + (text . "\tab{37}") + (bcStrings (5 x variable SY)) + (text . "\blankline ") + (text . "\newline ") + (text . "\menuitemstyle{}\tab{2}") + (text . "Compute the limit at") + (radioButtons location + ("A finite point:" ( + (text . "\newline\space{0}Real part:\space{3}") + (bcStrings (20 0 real F)) + (text . "\newline Complex part:") + (bcStrings (20 0 complex F))) finitePoint) + ("Complex infinity" "" complexInfinity)) + (doneButton "Continue" bcComplexLimitGen)) + htShowPage() + +bcComplexLimitGen htPage == + fun := htpLabelInputString(htPage,'expression) + var := htpLabelInputString(htPage,'variable) + loc := + (p := htpButtonValue(htPage,'location)) = 'finitePoint => + real := htpLabelInputString(htPage,'real) + comp := htpLabelInputString(htPage,'complex) + complexPart := + comp = '"0" => '"" + comp = '"1" => '"%i" + STRCONC(comp,'"*%i") + real = '"0" => + complexPart = '"" => "0" + complexPart + complexPart = '"" => real + STRCONC(real,'" + ",complexPart) + '"%infinity" + varPart := STRCONC(var,'" = ",loc) + bcFinish('"complexLimit",fun,varPart) + + |